blob: b9b5004961fe8061254c1075d6690c82e61d631b [file] [log] [blame]
/* ----------------------------------------------------------------------
* Copyright (C) 2010-2014 ARM Limited. All rights reserved.
*
* $Date: 19. March 2015
* $Revision: V.1.4.5
*
* Project: CMSIS DSP Library
* Title: arm_rfft_init_f32.c
*
* Description: RFFT & RIFFT Floating point initialisation function
*
* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* - Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* - Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in
* the documentation and/or other materials provided with the
* distribution.
* - Neither the name of ARM LIMITED nor the names of its contributors
* may be used to endorse or promote products derived from this
* software without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
* POSSIBILITY OF SUCH DAMAGE.
* -------------------------------------------------------------------- */
#include "arm_math.h"
/**
* @ingroup groupTransforms
*/
/**
* @addtogroup RealFFT
* @{
*/
/**
* \par
* Generation of realCoefA array:
* \par
* n = 4096
* <pre>for (i = 0; i < n; i++)
* {
* pATable[2 * i] = 0.5 * (1.0 - sin (2 * PI / (double) (2 * n) * (double) i));
* pATable[2 * i + 1] = 0.5 * (-1.0 * cos (2 * PI / (double) (2 * n) * (double) i));
* } </pre>
*/
static const float32_t realCoefA[8192] = {
0.500000000000000f, -0.500000000000000f, 0.499616503715515f,
-0.499999850988388f,
0.499233007431030f, -0.499999403953552f, 0.498849511146545f,
-0.499998688697815f,
0.498466014862061f, -0.499997645616531f, 0.498082518577576f,
-0.499996334314346f,
0.497699022293091f, -0.499994695186615f, 0.497315555810928f,
-0.499992787837982f,
0.496932059526443f, -0.499990582466125f, 0.496548563241959f,
-0.499988079071045f,
0.496165096759796f, -0.499985307455063f, 0.495781600475311f,
-0.499982208013535f,
0.495398133993149f, -0.499978810548782f, 0.495014637708664f,
-0.499975144863129f,
0.494631171226501f, -0.499971181154251f, 0.494247704744339f,
-0.499966919422150f,
0.493864238262177f, -0.499962359666824f, 0.493480771780014f,
-0.499957501888275f,
0.493097305297852f, -0.499952346086502f, 0.492713838815689f,
-0.499946922063828f,
0.492330402135849f, -0.499941170215607f, 0.491946935653687f,
-0.499935150146484f,
0.491563498973846f, -0.499928832054138f, 0.491180062294006f,
-0.499922215938568f,
0.490796625614166f, -0.499915301799774f, 0.490413218736649f,
-0.499908089637756f,
0.490029782056808f, -0.499900579452515f, 0.489646375179291f,
-0.499892801046371f,
0.489262968301773f, -0.499884694814682f, 0.488879561424255f,
-0.499876320362091f,
0.488496154546738f, -0.499867647886276f, 0.488112777471542f,
-0.499858677387238f,
0.487729400396347f, -0.499849408864975f, 0.487346023321152f,
-0.499839842319489f,
0.486962646245956f, -0.499830007553101f, 0.486579269170761f,
-0.499819844961166f,
0.486195921897888f, -0.499809414148331f, 0.485812574625015f,
-0.499798685312271f,
0.485429257154465f, -0.499787658452988f, 0.485045909881592f,
-0.499776333570480f,
0.484662592411041f, -0.499764710664749f, 0.484279274940491f,
-0.499752789735794f,
0.483895987272263f, -0.499740600585938f, 0.483512699604034f,
-0.499728083610535f,
0.483129411935806f, -0.499715298414230f, 0.482746154069901f,
-0.499702215194702f,
0.482362866401672f, -0.499688833951950f, 0.481979638338089f,
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0.481596380472183f, -0.499661177396774f, 0.481213152408600f,
-0.499646931886673f,
0.480829954147339f, -0.499632388353348f, 0.480446726083755f,
-0.499617516994476f,
0.480063527822495f, -0.499602377414703f, 0.479680359363556f,
-0.499586939811707f,
0.479297190904617f, -0.499571204185486f, 0.478914022445679f,
-0.499555170536041f,
0.478530883789063f, -0.499538868665695f, 0.478147745132446f,
-0.499522238969803f,
0.477764606475830f, -0.499505341053009f, 0.477381497621536f,
-0.499488145112991f,
0.476998418569565f, -0.499470651149750f, 0.476615339517593f,
-0.499452859163284f,
0.476232260465622f, -0.499434769153595f, 0.475849211215973f,
-0.499416410923004f,
0.475466161966324f, -0.499397724866867f, 0.475083142518997f,
-0.499378770589828f,
0.474700123071671f, -0.499359518289566f, 0.474317133426666f,
-0.499339967966080f,
0.473934143781662f, -0.499320119619370f, 0.473551183938980f,
-0.499299973249435f,
0.473168224096298f, -0.499279528856277f, 0.472785294055939f,
-0.499258816242218f,
0.472402364015579f, -0.499237775802612f, 0.472019463777542f,
-0.499216467142105f,
0.471636593341827f, -0.499194860458374f, 0.471253722906113f,
-0.499172955751419f,
0.470870882272720f, -0.499150782823563f, 0.470488041639328f,
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0.470105201005936f, -0.499105513095856f, 0.469722419977188f,
-0.499082416296005f,
0.469339638948441f, -0.499059051275253f, 0.468956857919693f,
-0.499035388231277f,
0.468574106693268f, -0.499011427164078f, 0.468191385269165f,
-0.498987197875977f,
0.467808693647385f, -0.498962640762329f, 0.467426002025604f,
-0.498937815427780f,
0.467043310403824f, -0.498912662267685f, 0.466660678386688f,
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0.463982671499252f, -0.498701065778732f, 0.463600188493729f,
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0.460923373699188f, -0.498470664024353f, 0.460541069507599f,
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0.460158795118332f, -0.498410135507584f, 0.459776520729065f,
-0.498379439115524f,
0.459394276142120f, -0.498348444700241f, 0.459012061357498f,
-0.498317152261734f,
0.458629876375198f, -0.498285561800003f, 0.458247691392899f,
-0.498253703117371f,
0.457865566015244f, -0.498221516609192f, 0.457483440637589f,
-0.498189061880112f,
0.457101345062256f, -0.498156309127808f, 0.456719279289246f,
-0.498123258352280f,
0.456337243318558f, -0.498089909553528f, 0.455955207347870f,
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0.455573230981827f, -0.498022347688675f, 0.455191254615784f,
-0.497988134622574f,
0.454809308052063f, -0.497953623533249f, 0.454427421092987f,
-0.497918814420700f,
0.454045534133911f, -0.497883707284927f, 0.453663676977158f,
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0.453281819820404f, -0.497812628746033f, 0.452900022268295f,
-0.497776657342911f,
0.452518254518509f, -0.497740387916565f, 0.452136516571045f,
-0.497703820466995f,
0.451754778623581f, -0.497666954994202f, 0.451373100280762f,
-0.497629791498184f,
0.450991421937943f, -0.497592359781265f, 0.450609803199768f,
-0.497554630041122f,
0.450228184461594f, -0.497516602277756f, 0.449846625328064f,
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0.449465066194534f, -0.497439652681351f, 0.449083566665649f,
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0.448702067136765f, -0.497361570596695f, 0.448320597410202f,
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0.447939187288284f, -0.497282296419144f, 0.447557777166367f,
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0.446413785219193f, -0.497120231389999f, 0.446032524108887f,
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