/* ----------------------------------------------------------------------    
* Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
*    
* $Date:        19. March 2015 
* $Revision: 	V.1.4.5  
*    
* Project: 	    CMSIS DSP Library    
* Title:	    arm_dct4_init_f32.c    
*    
* Description:	Initialization function of DCT-4 & IDCT4 F32    
*    
* 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 DCT4_IDCT4    
 * @{    
 */

/*    
* @brief  Weights Table    
*/

/**    
* \par    
* Weights tables are generated using the formula : <pre>weights[n] = e^(-j*n*pi/(2*N))</pre>    
* \par    
* C command to generate the table    
* <pre>    
* for(i = 0; i< N; i++)    
* {    
*    weights[2*i]= cos(i*c);    
*    weights[(2*i)+1]= -sin(i * c);    
* } </pre>    
* \par    
* Where <code>N</code> is the Number of weights to be calculated and <code>c</code> is <code>pi/(2*N)</code>    
* \par    
* In the tables below the real and imaginary values are placed alternatively, hence the    
* array length is <code>2*N</code>.    
*/

static const float32_t Weights_128[256] = {
  1.000000000000000000f, 0.000000000000000000f, 0.999924701839144500f,
  -0.012271538285719925f,
  0.999698818696204250f, -0.024541228522912288f, 0.999322384588349540f,
  -0.036807222941358832f,
  0.998795456205172410f, -0.049067674327418015f, 0.998118112900149180f,
  -0.061320736302208578f,
  0.997290456678690210f, -0.073564563599667426f, 0.996312612182778000f,
  -0.085797312344439894f,
  0.995184726672196930f, -0.098017140329560604f, 0.993906970002356060f,
  -0.110222207293883060f,
  0.992479534598709970f, -0.122410675199216200f, 0.990902635427780010f,
  -0.134580708507126170f,
  0.989176509964781010f, -0.146730474455361750f, 0.987301418157858430f,
  -0.158858143333861450f,
  0.985277642388941220f, -0.170961888760301220f, 0.983105487431216290f,
  -0.183039887955140950f,
  0.980785280403230430f, -0.195090322016128250f, 0.978317370719627650f,
  -0.207111376192218560f,
  0.975702130038528570f, -0.219101240156869800f, 0.972939952205560180f,
  -0.231058108280671110f,
  0.970031253194543970f, -0.242980179903263870f, 0.966976471044852070f,
  -0.254865659604514570f,
  0.963776065795439840f, -0.266712757474898370f, 0.960430519415565790f,
  -0.278519689385053060f,
  0.956940335732208820f, -0.290284677254462330f, 0.953306040354193860f,
  -0.302005949319228080f,
  0.949528180593036670f, -0.313681740398891520f, 0.945607325380521280f,
  -0.325310292162262930f,
  0.941544065183020810f, -0.336889853392220050f, 0.937339011912574960f,
  -0.348418680249434560f,
  0.932992798834738960f, -0.359895036534988110f, 0.928506080473215590f,
  -0.371317193951837540f,
  0.923879532511286740f, -0.382683432365089780f, 0.919113851690057770f,
  -0.393992040061048100f,
  0.914209755703530690f, -0.405241314004989860f, 0.909167983090522380f,
  -0.416429560097637150f,
  0.903989293123443340f, -0.427555093430282080f, 0.898674465693953820f,
  -0.438616238538527660f,
  0.893224301195515320f, -0.449611329654606540f, 0.887639620402853930f,
  -0.460538710958240010f,
  0.881921264348355050f, -0.471396736825997640f, 0.876070094195406600f,
  -0.482183772079122720f,
  0.870086991108711460f, -0.492898192229784040f, 0.863972856121586810f,
  -0.503538383725717580f,
  0.857728610000272120f, -0.514102744193221660f, 0.851355193105265200f,
  -0.524589682678468950f,
  0.844853565249707120f, -0.534997619887097150f, 0.838224705554838080f,
  -0.545324988422046460f,
  0.831469612302545240f, -0.555570233019602180f, 0.824589302785025290f,
  -0.565731810783613120f,
  0.817584813151583710f, -0.575808191417845340f, 0.810457198252594770f,
  -0.585797857456438860f,
  0.803207531480644940f, -0.595699304492433360f, 0.795836904608883570f,
  -0.605511041404325550f,
  0.788346427626606340f, -0.615231590580626820f, 0.780737228572094490f,
  -0.624859488142386340f,
  0.773010453362736990f, -0.634393284163645490f, 0.765167265622458960f,
  -0.643831542889791390f,
  0.757208846506484570f, -0.653172842953776760f, 0.749136394523459370f,
  -0.662415777590171780f,
  0.740951125354959110f, -0.671558954847018330f, 0.732654271672412820f,
  -0.680600997795453020f,
  0.724247082951467000f, -0.689540544737066830f, 0.715730825283818590f,
  -0.698376249408972920f,
  0.707106781186547570f, -0.707106781186547460f, 0.698376249408972920f,
  -0.715730825283818590f,
  0.689540544737066940f, -0.724247082951466890f, 0.680600997795453130f,
  -0.732654271672412820f,
  0.671558954847018330f, -0.740951125354959110f, 0.662415777590171780f,
  -0.749136394523459260f,
  0.653172842953776760f, -0.757208846506484460f, 0.643831542889791500f,
  -0.765167265622458960f,
  0.634393284163645490f, -0.773010453362736990f, 0.624859488142386450f,
  -0.780737228572094380f,
  0.615231590580626820f, -0.788346427626606230f, 0.605511041404325550f,
  -0.795836904608883460f,
  0.595699304492433470f, -0.803207531480644830f, 0.585797857456438860f,
  -0.810457198252594770f,
  0.575808191417845340f, -0.817584813151583710f, 0.565731810783613230f,
  -0.824589302785025290f,
  0.555570233019602290f, -0.831469612302545240f, 0.545324988422046460f,
  -0.838224705554837970f,
  0.534997619887097260f, -0.844853565249707010f, 0.524589682678468840f,
  -0.851355193105265200f,
  0.514102744193221660f, -0.857728610000272120f, 0.503538383725717580f,
  -0.863972856121586700f,
  0.492898192229784090f, -0.870086991108711350f, 0.482183772079122830f,
  -0.876070094195406600f,
  0.471396736825997810f, -0.881921264348354940f, 0.460538710958240010f,
  -0.887639620402853930f,
  0.449611329654606600f, -0.893224301195515320f, 0.438616238538527710f,
  -0.898674465693953820f,
  0.427555093430282200f, -0.903989293123443340f, 0.416429560097637320f,
  -0.909167983090522270f,
  0.405241314004989860f, -0.914209755703530690f, 0.393992040061048100f,
  -0.919113851690057770f,
  0.382683432365089840f, -0.923879532511286740f, 0.371317193951837600f,
  -0.928506080473215480f,
  0.359895036534988280f, -0.932992798834738850f, 0.348418680249434510f,
  -0.937339011912574960f,
  0.336889853392220050f, -0.941544065183020810f, 0.325310292162262980f,
  -0.945607325380521280f,
  0.313681740398891570f, -0.949528180593036670f, 0.302005949319228200f,
  -0.953306040354193750f,
  0.290284677254462330f, -0.956940335732208940f, 0.278519689385053060f,
  -0.960430519415565790f,
  0.266712757474898420f, -0.963776065795439840f, 0.254865659604514630f,
  -0.966976471044852070f,
  0.242980179903263980f, -0.970031253194543970f, 0.231058108280671280f,
  -0.972939952205560070f,
  0.219101240156869770f, -0.975702130038528570f, 0.207111376192218560f,
  -0.978317370719627650f,
  0.195090322016128330f, -0.980785280403230430f, 0.183039887955141060f,
  -0.983105487431216290f,
  0.170961888760301360f, -0.985277642388941220f, 0.158858143333861390f,
  -0.987301418157858430f,
  0.146730474455361750f, -0.989176509964781010f, 0.134580708507126220f,
  -0.990902635427780010f,
  0.122410675199216280f, -0.992479534598709970f, 0.110222207293883180f,
  -0.993906970002356060f,
  0.098017140329560770f, -0.995184726672196820f, 0.085797312344439880f,
  -0.996312612182778000f,
  0.073564563599667454f, -0.997290456678690210f, 0.061320736302208648f,
  -0.998118112900149180f,
  0.049067674327418126f, -0.998795456205172410f, 0.036807222941358991f,
  -0.999322384588349540f,
  0.024541228522912264f, -0.999698818696204250f, 0.012271538285719944f,
  -0.999924701839144500f
};

static const float32_t Weights_512[1024] = {
  1.000000000000000000f, 0.000000000000000000f, 0.999995293809576190f,
  -0.003067956762965976f,
  0.999981175282601110f, -0.006135884649154475f, 0.999957644551963900f,
  -0.009203754782059819f,
  0.999924701839144500f, -0.012271538285719925f, 0.999882347454212560f,
  -0.015339206284988100f,
  0.999830581795823400f, -0.018406729905804820f, 0.999769405351215280f,
  -0.021474080275469508f,
  0.999698818696204250f, -0.024541228522912288f, 0.999618822495178640f,
  -0.027608145778965740f,
  0.999529417501093140f, -0.030674803176636626f, 0.999430604555461730f,
  -0.033741171851377580f,
  0.999322384588349540f, -0.036807222941358832f, 0.999204758618363890f,
  -0.039872927587739811f,
  0.999077727752645360f, -0.042938256934940820f, 0.998941293186856870f,
  -0.046003182130914623f,
  0.998795456205172410f, -0.049067674327418015f, 0.998640218180265270f,
  -0.052131704680283324f,
  0.998475580573294770f, -0.055195244349689934f, 0.998301544933892890f,
  -0.058258264500435752f,
  0.998118112900149180f, -0.061320736302208578f, 0.997925286198596000f,
  -0.064382630929857465f,
  0.997723066644191640f, -0.067443919563664051f, 0.997511456140303450f,
  -0.070504573389613856f,
  0.997290456678690210f, -0.073564563599667426f, 0.997060070339482960f,
  -0.076623861392031492f,
  0.996820299291165670f, -0.079682437971430126f, 0.996571145790554840f,
  -0.082740264549375692f,
  0.996312612182778000f, -0.085797312344439894f, 0.996044700901251970f,
  -0.088853552582524600f,
  0.995767414467659820f, -0.091908956497132724f, 0.995480755491926940f,
  -0.094963495329638992f,
  0.995184726672196930f, -0.098017140329560604f, 0.994879330794805620f,
  -0.101069862754827820f,
  0.994564570734255420f, -0.104121633872054590f, 0.994240449453187900f,
  -0.107172424956808840f,
  0.993906970002356060f, -0.110222207293883060f, 0.993564135520595300f,
  -0.113270952177564350f,
  0.993211949234794500f, -0.116318630911904750f, 0.992850414459865100f,
  -0.119365214810991350f,
  0.992479534598709970f, -0.122410675199216200f, 0.992099313142191800f,
  -0.125454983411546230f,
  0.991709753669099530f, -0.128498110793793170f, 0.991310859846115440f,
  -0.131540028702883120f,
  0.990902635427780010f, -0.134580708507126170f, 0.990485084256457090f,
  -0.137620121586486040f,
  0.990058210262297120f, -0.140658239332849210f, 0.989622017463200890f,
  -0.143695033150294470f,
  0.989176509964781010f, -0.146730474455361750f, 0.988721691960323780f,
  -0.149764534677321510f,
  0.988257567730749460f, -0.152797185258443440f, 0.987784141644572180f,
  -0.155828397654265230f,
  0.987301418157858430f, -0.158858143333861450f, 0.986809401814185530f,
  -0.161886393780111830f,
  0.986308097244598670f, -0.164913120489969890f, 0.985797509167567480f,
  -0.167938294974731170f,
  0.985277642388941220f, -0.170961888760301220f, 0.984748501801904210f,
  -0.173983873387463820f,
  0.984210092386929030f, -0.177004220412148750f, 0.983662419211730250f,
  -0.180022901405699510f,
  0.983105487431216290f, -0.183039887955140950f, 0.982539302287441240f,
  -0.186055151663446630f,
  0.981963869109555240f, -0.189068664149806190f, 0.981379193313754560f,
  -0.192080397049892440f,
  0.980785280403230430f, -0.195090322016128250f, 0.980182135968117430f,
  -0.198098410717953560f,
  0.979569765685440520f, -0.201104634842091900f, 0.978948175319062200f,
  -0.204108966092816870f,
  0.978317370719627650f, -0.207111376192218560f, 0.977677357824509930f,
  -0.210111836880469610f,
  0.977028142657754390f, -0.213110319916091360f, 0.976369731330021140f,
  -0.216106797076219520f,
  0.975702130038528570f, -0.219101240156869800f, 0.975025345066994120f,
  -0.222093620973203510f,
  0.974339382785575860f, -0.225083911359792830f, 0.973644249650811980f,
  -0.228072083170885730f,
  0.972939952205560180f, -0.231058108280671110f, 0.972226497078936270f,
  -0.234041958583543430f,
  0.971503890986251780f, -0.237023605994367200f, 0.970772140728950350f,
  -0.240003022448741500f,
  0.970031253194543970f, -0.242980179903263870f, 0.969281235356548530f,
  -0.245955050335794590f,
  0.968522094274417380f, -0.248927605745720150f, 0.967753837093475510f,
  -0.251897818154216970f,
  0.966976471044852070f, -0.254865659604514570f, 0.966190003445412500f,
  -0.257831102162158990f,
  0.965394441697689400f, -0.260794117915275510f, 0.964589793289812760f,
  -0.263754678974831350f,
  0.963776065795439840f, -0.266712757474898370f, 0.962953266873683880f,
  -0.269668325572915090f,
  0.962121404269041580f, -0.272621355449948980f, 0.961280485811320640f,
  -0.275571819310958140f,
  0.960430519415565790f, -0.278519689385053060f, 0.959571513081984520f,
  -0.281464937925757940f,
  0.958703474895871600f, -0.284407537211271880f, 0.957826413027532910f,
  -0.287347459544729510f,
  0.956940335732208820f, -0.290284677254462330f, 0.956045251349996410f,
  -0.293219162694258630f,
  0.955141168305770780f, -0.296150888243623790f, 0.954228095109105670f,
  -0.299079826308040480f,
  0.953306040354193860f, -0.302005949319228080f, 0.952375012719765880f,
  -0.304929229735402370f,
  0.951435020969008340f, -0.307849640041534870f, 0.950486073949481700f,
  -0.310767152749611470f,
  0.949528180593036670f, -0.313681740398891520f, 0.948561349915730270f,
  -0.316593375556165850f,
  0.947585591017741090f, -0.319502030816015690f, 0.946600913083283530f,
  -0.322407678801069850f,
  0.945607325380521280f, -0.325310292162262930f, 0.944604837261480260f,
  -0.328209843579092500f,
  0.943593458161960390f, -0.331106305759876430f, 0.942573197601446870f,
  -0.333999651442009380f,
  0.941544065183020810f, -0.336889853392220050f, 0.940506070593268300f,
  -0.339776884406826850f,
  0.939459223602189920f, -0.342660717311994380f, 0.938403534063108060f,
  -0.345541324963989090f,
  0.937339011912574960f, -0.348418680249434560f, 0.936265667170278260f,
  -0.351292756085567090f,
  0.935183509938947610f, -0.354163525420490340f, 0.934092550404258980f,
  -0.357030961233429980f,
  0.932992798834738960f, -0.359895036534988110f, 0.931884265581668150f,
  -0.362755724367397230f,
  0.930766961078983710f, -0.365612997804773850f, 0.929640895843181330f,
  -0.368466829953372320f,
  0.928506080473215590f, -0.371317193951837540f, 0.927362525650401110f,
  -0.374164062971457930f,
  0.926210242138311380f, -0.377007410216418260f, 0.925049240782677580f,
  -0.379847208924051160f,
  0.923879532511286740f, -0.382683432365089780f, 0.922701128333878630f,
  -0.385516053843918850f,
  0.921514039342042010f, -0.388345046698826250f, 0.920318276709110590f,
  -0.391170384302253870f,
  0.919113851690057770f, -0.393992040061048100f, 0.917900775621390500f,
  -0.396809987416710310f,
  0.916679059921042700f, -0.399624199845646790f, 0.915448716088267830f,
  -0.402434650859418430f,
  0.914209755703530690f, -0.405241314004989860f, 0.912962190428398210f,
  -0.408044162864978690f,
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static const float32_t Weights_2048[4096] = {
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static const float32_t Weights_8192[16384] = {
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};

/**    
* \par    
* cosFactor tables are generated using the formula : <pre>cos_factors[n] = 2 * cos((2n+1)*pi/(4*N))</pre>    
* \par    
* C command to generate the table    
* \par    
* <pre> for(i = 0; i< N; i++)    
* {    
*    cos_factors[i]= 2 * cos((2*i+1)*c/2);    
* } </pre>    
* \par    
* where <code>N</code> is the number of factors to generate and <code>c</code> is <code>pi/(2*N)</code>    
*/
static const float32_t cos_factors_128[128] = {
  0.999981175282601110f, 0.999830581795823400f, 0.999529417501093140f,
  0.999077727752645360f,
  0.998475580573294770f, 0.997723066644191640f, 0.996820299291165670f,
  0.995767414467659820f,
  0.994564570734255420f, 0.993211949234794500f, 0.991709753669099530f,
  0.990058210262297120f,
  0.988257567730749460f, 0.986308097244598670f, 0.984210092386929030f,
  0.981963869109555240f,
  0.979569765685440520f, 0.977028142657754390f, 0.974339382785575860f,
  0.971503890986251780f,
  0.968522094274417380f, 0.965394441697689400f, 0.962121404269041580f,
  0.958703474895871600f,
  0.955141168305770780f, 0.951435020969008340f, 0.947585591017741090f,
  0.943593458161960390f,
  0.939459223602189920f, 0.935183509938947610f, 0.930766961078983710f,
  0.926210242138311380f,
  0.921514039342042010f, 0.916679059921042700f, 0.911706032005429880f,
  0.906595704514915330f,
  0.901348847046022030f, 0.895966249756185220f, 0.890448723244757880f,
  0.884797098430937790f,
  0.879012226428633530f, 0.873094978418290090f, 0.867046245515692650f,
  0.860866938637767310f,
  0.854557988365400530f, 0.848120344803297230f, 0.841554977436898440f,
  0.834862874986380010f,
  0.828045045257755800f, 0.821102514991104650f, 0.814036329705948410f,
  0.806847553543799330f,
  0.799537269107905010f, 0.792106577300212390f, 0.784556597155575240f,
  0.776888465673232440f,
  0.769103337645579700f, 0.761202385484261780f, 0.753186799043612520f,
  0.745057785441466060f,
  0.736816568877369900f, 0.728464390448225200f, 0.720002507961381650f,
  0.711432195745216430f,
  0.702754744457225300f, 0.693971460889654000f, 0.685083667772700360f,
  0.676092703575316030f,
  0.666999922303637470f, 0.657806693297078640f, 0.648514401022112550f,
  0.639124444863775730f,
  0.629638238914927100f, 0.620057211763289210f, 0.610382806276309480f,
  0.600616479383868970f,
  0.590759701858874280f, 0.580813958095764530f, 0.570780745886967370f,
  0.560661576197336030f,
  0.550457972936604810f, 0.540171472729892970f, 0.529803624686294830f,
  0.519355990165589530f,
  0.508830142543106990f, 0.498227666972781870f, 0.487550160148436050f,
  0.476799230063322250f,
  0.465976495767966130f, 0.455083587126343840f, 0.444122144570429260f,
  0.433093818853152010f,
  0.422000270799799790f, 0.410843171057903910f, 0.399624199845646790f,
  0.388345046698826300f,
  0.377007410216418310f, 0.365612997804773960f, 0.354163525420490510f,
  0.342660717311994380f,
  0.331106305759876430f, 0.319502030816015750f, 0.307849640041534980f,
  0.296150888243623960f,
  0.284407537211271820f, 0.272621355449948980f, 0.260794117915275570f,
  0.248927605745720260f,
  0.237023605994367340f, 0.225083911359792780f, 0.213110319916091360f,
  0.201104634842091960f,
  0.189068664149806280f, 0.177004220412148860f, 0.164913120489970090f,
  0.152797185258443410f,
  0.140658239332849240f, 0.128498110793793220f, 0.116318630911904880f,
  0.104121633872054730f,
  0.091908956497132696f, 0.079682437971430126f, 0.067443919563664106f,
  0.055195244349690031f,
  0.042938256934940959f, 0.030674803176636581f, 0.018406729905804820f,
  0.006135884649154515f
};

static const float32_t cos_factors_512[512] = {
  0.999998823451701880f, 0.999989411081928400f, 0.999970586430974140f,
  0.999942349676023910f,
  0.999904701082852900f, 0.999857641005823860f, 0.999801169887884260f,
  0.999735288260561680f,
  0.999659996743959220f, 0.999575296046749220f, 0.999481186966166950f,
  0.999377670388002850f,
  0.999264747286594420f, 0.999142418724816910f, 0.999010685854073380f,
  0.998869549914283560f,
  0.998719012233872940f, 0.998559074229759310f, 0.998389737407340160f,
  0.998211003360478190f,
  0.998022873771486240f, 0.997825350411111640f, 0.997618435138519550f,
  0.997402129901275300f,
  0.997176436735326190f, 0.996941357764982160f, 0.996696895202896060f,
  0.996443051350042630f,
  0.996179828595696980f, 0.995907229417411720f, 0.995625256380994310f,
  0.995333912140482280f,
  0.995033199438118630f, 0.994723121104325700f, 0.994403680057679100f,
  0.994074879304879370f,
  0.993736721940724600f, 0.993389211148080650f, 0.993032350197851410f,
  0.992666142448948020f,
  0.992290591348257370f, 0.991905700430609330f, 0.991511473318743900f,
  0.991107913723276890f,
  0.990695025442664630f, 0.990272812363169110f, 0.989841278458820530f,
  0.989400427791380380f,
  0.988950264510302990f, 0.988490792852696590f, 0.988022017143283530f,
  0.987543941794359230f,
  0.987056571305750970f, 0.986559910264775410f, 0.986053963346195440f,
  0.985538735312176060f,
  0.985014231012239840f, 0.984480455383220930f, 0.983937413449218920f,
  0.983385110321551180f,
  0.982823551198705240f, 0.982252741366289370f, 0.981672686196983110f,
  0.981083391150486710f,
  0.980484861773469380f, 0.979877103699517640f, 0.979260122649082020f,
  0.978633924429423210f,
  0.977998514934557140f, 0.977353900145199960f, 0.976700086128711840f,
  0.976037079039039020f,
  0.975364885116656980f, 0.974683510688510670f, 0.973992962167955830f,
  0.973293246054698250f,
  0.972584368934732210f, 0.971866337480279400f, 0.971139158449725090f,
  0.970402838687555500f,
  0.969657385124292450f, 0.968902804776428870f, 0.968139104746362440f,
  0.967366292222328510f,
  0.966584374478333120f, 0.965793358874083680f, 0.964993252854920320f,
  0.964184063951745830f,
  0.963365799780954050f, 0.962538468044359160f, 0.961702076529122540f,
  0.960856633107679660f,
  0.960002145737665960f, 0.959138622461841890f, 0.958266071408017670f,
  0.957384500788975860f,
  0.956493918902395100f, 0.955594334130771110f, 0.954685754941338340f,
  0.953768189885990330f,
  0.952841647601198720f, 0.951906136807932350f, 0.950961666311575080f,
  0.950008245001843000f,
  0.949045881852700560f, 0.948074585922276230f, 0.947094366352777220f,
  0.946105232370403450f,
  0.945107193285260610f, 0.944100258491272660f, 0.943084437466093490f,
  0.942059739771017310f,
  0.941026175050889260f, 0.939983753034014050f, 0.938932483532064600f,
  0.937872376439989890f,
  0.936803441735921560f, 0.935725689481080370f, 0.934639129819680780f,
  0.933543772978836170f,
  0.932439629268462360f, 0.931326709081180430f, 0.930205022892219070f,
  0.929074581259315860f,
  0.927935394822617890f, 0.926787474304581750f, 0.925630830509872720f,
  0.924465474325262600f,
  0.923291416719527640f, 0.922108668743345180f, 0.920917241529189520f,
  0.919717146291227360f,
  0.918508394325212250f, 0.917290997008377910f, 0.916064965799331720f,
  0.914830312237946200f,
  0.913587047945250810f, 0.912335184623322750f, 0.911074734055176360f,
  0.909805708104652220f,
  0.908528118716306120f, 0.907241977915295820f, 0.905947297807268460f,
  0.904644090578246240f,
  0.903332368494511820f, 0.902012143902493180f, 0.900683429228646970f,
  0.899346236979341570f,
  0.898000579740739880f, 0.896646470178680150f, 0.895283921038557580f,
  0.893912945145203250f,
  0.892533555402764580f, 0.891145764794583180f, 0.889749586383072780f,
  0.888345033309596350f,
  0.886932118794342190f, 0.885510856136199950f, 0.884081258712634990f,
  0.882643339979562790f,
  0.881197113471222090f, 0.879742592800047410f, 0.878279791656541580f,
  0.876808723809145650f,
  0.875329403104110890f, 0.873841843465366860f, 0.872346058894391540f,
  0.870842063470078980f,
  0.869329871348606840f, 0.867809496763303320f, 0.866280954024512990f,
  0.864744257519462380f,
  0.863199421712124160f, 0.861646461143081300f, 0.860085390429390140f,
  0.858516224264442740f,
  0.856938977417828760f, 0.855353664735196030f, 0.853760301138111410f,
  0.852158901623919830f,
  0.850549481265603480f, 0.848932055211639610f, 0.847306638685858320f,
  0.845673246987299070f,
  0.844031895490066410f, 0.842382599643185850f, 0.840725374970458070f,
  0.839060237070312740f,
  0.837387201615661940f, 0.835706284353752600f, 0.834017501106018130f,
  0.832320867767929680f,
  0.830616400308846310f, 0.828904114771864870f, 0.827184027273669130f,
  0.825456154004377550f,
  0.823720511227391430f, 0.821977115279241550f, 0.820225982569434690f,
  0.818467129580298660f,
  0.816700572866827850f, 0.814926329056526620f, 0.813144414849253590f,
  0.811354847017063730f,
  0.809557642404051260f, 0.807752817926190360f, 0.805940390571176280f,
  0.804120377398265810f,
  0.802292795538115720f, 0.800457662192622820f, 0.798614994634760820f,
  0.796764810208418830f,
  0.794907126328237010f, 0.793041960479443640f, 0.791169330217690200f,
  0.789289253168885650f,
  0.787401747029031430f, 0.785506829564053930f, 0.783604518609638200f,
  0.781694832071059390f,
  0.779777787923014550f, 0.777853404209453150f, 0.775921699043407690f,
  0.773982690606822900f,
  0.772036397150384520f, 0.770082836993347900f, 0.768122028523365420f,
  0.766153990196312920f,
  0.764178740536116670f, 0.762196298134578900f, 0.760206681651202420f,
  0.758209909813015280f,
  0.756206001414394540f, 0.754194975316889170f, 0.752176850449042810f,
  0.750151645806215070f,
  0.748119380450403600f, 0.746080073510063780f, 0.744033744179929290f,
  0.741980411720831070f,
  0.739920095459516200f, 0.737852814788465980f, 0.735778589165713590f,
  0.733697438114660370f,
  0.731609381223892630f, 0.729514438146997010f, 0.727412628602375770f,
  0.725303972373060770f,
  0.723188489306527460f, 0.721066199314508110f, 0.718937122372804490f,
  0.716801278521099540f,
  0.714658687862769090f, 0.712509370564692320f, 0.710353346857062420f,
  0.708190637033195400f,
  0.706021261449339740f, 0.703845240524484940f, 0.701662594740168570f,
  0.699473344640283770f,
  0.697277510830886630f, 0.695075113980000880f, 0.692866174817424740f,
  0.690650714134534720f,
  0.688428752784090550f, 0.686200311680038700f, 0.683965411797315510f,
  0.681724074171649820f,
  0.679476319899365080f, 0.677222170137180450f, 0.674961646102012040f,
  0.672694769070772970f,
  0.670421560380173090f, 0.668142041426518560f, 0.665856233665509720f,
  0.663564158612039880f,
  0.661265837839992270f, 0.658961292982037320f, 0.656650545729429050f,
  0.654333617831800550f,
  0.652010531096959500f, 0.649681307390683190f, 0.647345968636512060f,
  0.645004536815544040f,
  0.642657033966226860f, 0.640303482184151670f, 0.637943903621844170f,
  0.635578320488556230f,
  0.633206755050057190f, 0.630829229628424470f, 0.628445766601832710f,
  0.626056388404343520f,
  0.623661117525694640f, 0.621259976511087660f, 0.618852987960976320f,
  0.616440174530853650f,
  0.614021558931038490f, 0.611597163926462020f, 0.609167012336453210f,
  0.606731127034524480f,
  0.604289530948156070f, 0.601842247058580030f, 0.599389298400564540f,
  0.596930708062196500f,
  0.594466499184664540f, 0.591996694962040990f, 0.589521318641063940f,
  0.587040393520918080f,
  0.584553942953015330f, 0.582061990340775550f, 0.579564559139405740f,
  0.577061672855679550f,
  0.574553355047715760f, 0.572039629324757050f, 0.569520519346947250f,
  0.566996048825108680f,
  0.564466241520519500f, 0.561931121244689470f, 0.559390711859136140f,
  0.556845037275160100f,
  0.554294121453620110f, 0.551737988404707450f, 0.549176662187719770f,
  0.546610166910834860f,
  0.544038526730883930f, 0.541461765853123560f, 0.538879908531008420f,
  0.536292979065963180f,
  0.533701001807152960f, 0.531104001151255000f, 0.528502001542228480f,
  0.525895027471084740f,
  0.523283103475656430f, 0.520666254140367270f, 0.518044504095999340f,
  0.515417878019463150f,
  0.512786400633563070f, 0.510150096706766700f, 0.507508991052970870f,
  0.504863108531267480f,
  0.502212474045710900f, 0.499557112545081890f, 0.496897049022654640f,
  0.494232308515959730f,
  0.491562916106550060f, 0.488888896919763230f, 0.486210276124486530f,
  0.483527078932918740f,
  0.480839330600333900f, 0.478147056424843120f, 0.475450281747155870f,
  0.472749031950342900f,
  0.470043332459595620f, 0.467333208741988530f, 0.464618686306237820f,
  0.461899790702462840f,
  0.459176547521944150f, 0.456448982396883860f, 0.453717121000163930f,
  0.450980989045103810f,
  0.448240612285220000f, 0.445496016513981740f, 0.442747227564570130f,
  0.439994271309633260f,
  0.437237173661044200f, 0.434475960569655710f, 0.431710658025057370f,
  0.428941292055329550f,
  0.426167888726799620f, 0.423390474143796100f, 0.420609074448402510f,
  0.417823715820212380f,
  0.415034424476081630f, 0.412241226669883000f, 0.409444148692257590f,
  0.406643216870369140f,
  0.403838457567654130f, 0.401029897183575790f, 0.398217562153373620f,
  0.395401478947816300f,
  0.392581674072951530f, 0.389758174069856410f, 0.386931005514388690f,
  0.384100195016935040f,
  0.381265769222162490f, 0.378427754808765620f, 0.375586178489217330f,
  0.372741067009515810f,
  0.369892447148934270f, 0.367040345719767240f, 0.364184789567079840f,
  0.361325805568454340f,
  0.358463420633736540f, 0.355597661704783960f, 0.352728555755210730f,
  0.349856129790135030f,
  0.346980410845923680f, 0.344101425989938980f, 0.341219202320282410f,
  0.338333766965541290f,
  0.335445147084531660f, 0.332553369866044220f, 0.329658462528587550f,
  0.326760452320131790f,
  0.323859366517852960f, 0.320955232427875210f, 0.318048077385015060f,
  0.315137928752522440f,
  0.312224813921825050f, 0.309308760312268780f, 0.306389795370861080f,
  0.303467946572011370f,
  0.300543241417273400f, 0.297615707435086310f, 0.294685372180514330f,
  0.291752263234989370f,
  0.288816408206049480f, 0.285877834727080730f, 0.282936570457055390f,
  0.279992643080273380f,
  0.277046080306099950f, 0.274096909868706330f, 0.271145159526808070f,
  0.268190857063403180f,
  0.265234030285511900f, 0.262274707023913590f, 0.259312915132886350f,
  0.256348682489942910f,
  0.253382036995570270f, 0.250413006572965280f, 0.247441619167773440f,
  0.244467902747824210f,
  0.241491885302869300f, 0.238513594844318500f, 0.235533059404975460f,
  0.232550307038775330f,
  0.229565365820518870f, 0.226578263845610110f, 0.223589029229790020f,
  0.220597690108873650f,
  0.217604274638483670f, 0.214608810993786920f, 0.211611327369227610f,
  0.208611851978263460f,
  0.205610413053099320f, 0.202607038844421110f, 0.199601757621131050f,
  0.196594597670080220f,
  0.193585587295803750f, 0.190574754820252800f, 0.187562128582529740f,
  0.184547736938619640f,
  0.181531608261125130f, 0.178513770938997590f, 0.175494253377271400f,
  0.172473083996796030f,
  0.169450291233967930f, 0.166425903540464220f, 0.163399949382973230f,
  0.160372457242928400f,
  0.157343455616238280f, 0.154312973013020240f, 0.151281037957330250f,
  0.148247678986896200f,
  0.145212924652847520f, 0.142176803519448000f, 0.139139344163826280f,
  0.136100575175706200f,
  0.133060525157139180f, 0.130019222722233350f, 0.126976696496885980f,
  0.123932975118512200f,
  0.120888087235777220f, 0.117842061508325020f, 0.114794926606510250f,
  0.111746711211126660f,
  0.108697444013138670f, 0.105647153713410700f, 0.102595869022436280f,
  0.099543618660069444f,
  0.096490431355252607f, 0.093436335845747912f, 0.090381360877865011f,
  0.087325535206192226f,
  0.084268887593324127f, 0.081211446809592386f, 0.078153241632794315f,
  0.075094300847921291f,
  0.072034653246889416f, 0.068974327628266732f, 0.065913352797003930f,
  0.062851757564161420f,
  0.059789570746640007f, 0.056726821166907783f, 0.053663537652730679f,
  0.050599749036899337f,
  0.047535484156959261f, 0.044470771854938744f, 0.041405640977076712f,
  0.038340120373552791f,
  0.035274238898213947f, 0.032208025408304704f, 0.029141508764193740f,
  0.026074717829104040f,
  0.023007681468839410f, 0.019940428551514598f, 0.016872987947281773f,
  0.013805388528060349f,
  0.010737659167264572f, 0.007669828739531077f, 0.004601926120448672f,
  0.001533980186284766f
};

static const float32_t cos_factors_2048[2048] = {
  0.999999926465717890f, 0.999999338191525530f, 0.999998161643486980f,
  0.999996396822294350f,
  0.999994043728985820f, 0.999991102364945590f, 0.999987572731904080f,
  0.999983454831937730f,
  0.999978748667468830f, 0.999973454241265940f, 0.999967571556443780f,
  0.999961100616462820f,
  0.999954041425129780f, 0.999946393986597460f, 0.999938158305364590f,
  0.999929334386276070f,
  0.999919922234522750f, 0.999909921855641540f, 0.999899333255515390f,
  0.999888156440373320f,
  0.999876391416790410f, 0.999864038191687680f, 0.999851096772332190f,
  0.999837567166337090f,
  0.999823449381661570f, 0.999808743426610520f, 0.999793449309835270f,
  0.999777567040332940f,
  0.999761096627446610f, 0.999744038080865430f, 0.999726391410624470f,
  0.999708156627104880f,
  0.999689333741033640f, 0.999669922763483760f, 0.999649923705874240f,
  0.999629336579970110f,
  0.999608161397882110f, 0.999586398172067070f, 0.999564046915327740f,
  0.999541107640812940f,
  0.999517580362016990f, 0.999493465092780590f, 0.999468761847290050f,
  0.999443470640077770f,
  0.999417591486021720f, 0.999391124400346050f, 0.999364069398620550f,
  0.999336426496761240f,
  0.999308195711029470f, 0.999279377058032710f, 0.999249970554724420f,
  0.999219976218403530f,
  0.999189394066714920f, 0.999158224117649430f, 0.999126466389543390f,
  0.999094120901079070f,
  0.999061187671284600f, 0.999027666719533690f, 0.998993558065545680f,
  0.998958861729386080f,
  0.998923577731465780f, 0.998887706092541290f, 0.998851246833715180f,
  0.998814199976435390f,
  0.998776565542495610f, 0.998738343554035230f, 0.998699534033539280f,
  0.998660137003838490f,
  0.998620152488108870f, 0.998579580509872500f, 0.998538421092996730f,
  0.998496674261694640f,
  0.998454340040524800f, 0.998411418454391300f, 0.998367909528543820f,
  0.998323813288577560f,
  0.998279129760433200f, 0.998233858970396850f, 0.998188000945100300f,
  0.998141555711520520f,
  0.998094523296980010f, 0.998046903729146840f, 0.997998697036034390f,
  0.997949903246001190f,
  0.997900522387751620f, 0.997850554490335110f, 0.997799999583146470f,
  0.997748857695925690f,
  0.997697128858758500f, 0.997644813102075420f, 0.997591910456652630f,
  0.997538420953611340f,
  0.997484344624417930f, 0.997429681500884180f, 0.997374431615167150f,
  0.997318594999768600f,
  0.997262171687536170f, 0.997205161711661850f, 0.997147565105683480f,
  0.997089381903483400f,
  0.997030612139289450f, 0.996971255847674320f, 0.996911313063555740f,
  0.996850783822196610f,
  0.996789668159204560f, 0.996727966110532490f, 0.996665677712478160f,
  0.996602803001684130f,
  0.996539342015137940f, 0.996475294790172160f, 0.996410661364464100f,
  0.996345441776035900f,
  0.996279636063254650f, 0.996213244264832040f, 0.996146266419824620f,
  0.996078702567633980f,
  0.996010552748005870f, 0.995941817001031350f, 0.995872495367145730f,
  0.995802587887129160f,
  0.995732094602106430f, 0.995661015553546910f, 0.995589350783264600f,
  0.995517100333418110f,
  0.995444264246510340f, 0.995370842565388990f, 0.995296835333246090f,
  0.995222242593618360f,
  0.995147064390386470f, 0.995071300767776170f, 0.994994951770357020f,
  0.994918017443043200f,
  0.994840497831093180f, 0.994762392980109930f, 0.994683702936040250f,
  0.994604427745175660f,
  0.994524567454151740f, 0.994444122109948040f, 0.994363091759888570f,
  0.994281476451641550f,
  0.994199276233218910f, 0.994116491152977070f, 0.994033121259616400f,
  0.993949166602181130f,
  0.993864627230059750f, 0.993779503192984580f, 0.993693794541031790f,
  0.993607501324621610f,
  0.993520623594518090f, 0.993433161401829360f, 0.993345114798006910f,
  0.993256483834846440f,
  0.993167268564487230f, 0.993077469039412300f, 0.992987085312448390f,
  0.992896117436765980f,
  0.992804565465879140f, 0.992712429453645460f, 0.992619709454266140f,
  0.992526405522286100f,
  0.992432517712593660f, 0.992338046080420420f, 0.992242990681341700f,
  0.992147351571276090f,
  0.992051128806485720f, 0.991954322443575950f, 0.991856932539495470f,
  0.991758959151536110f,
  0.991660402337333210f, 0.991561262154865290f, 0.991461538662453790f,
  0.991361231918763460f,
  0.991260341982802440f, 0.991158868913921350f, 0.991056812771814340f,
  0.990954173616518500f,
  0.990850951508413620f, 0.990747146508222710f, 0.990642758677011570f,
  0.990537788076188750f,
  0.990432234767505970f, 0.990326098813057330f, 0.990219380275280000f,
  0.990112079216953770f,
  0.990004195701200910f, 0.989895729791486660f, 0.989786681551618640f,
  0.989677051045747210f,
  0.989566838338365120f, 0.989456043494307710f, 0.989344666578752640f,
  0.989232707657220050f,
  0.989120166795572690f, 0.989007044060015270f, 0.988893339517095130f,
  0.988779053233701520f,
  0.988664185277066230f, 0.988548735714763200f, 0.988432704614708340f,
  0.988316092045159690f,
  0.988198898074717610f, 0.988081122772324070f, 0.987962766207263420f,
  0.987843828449161740f,
  0.987724309567986960f, 0.987604209634049160f, 0.987483528717999710f,
  0.987362266890832400f,
  0.987240424223882250f, 0.987118000788826280f, 0.986994996657682980f,
  0.986871411902812470f,
  0.986747246596916590f, 0.986622500813038480f, 0.986497174624562880f,
  0.986371268105216030f,
  0.986244781329065460f, 0.986117714370520090f, 0.985990067304330140f,
  0.985861840205586980f,
  0.985733033149723490f, 0.985603646212513400f, 0.985473679470071810f,
  0.985343132998854790f,
  0.985212006875659350f, 0.985080301177623800f, 0.984948015982227030f,
  0.984815151367289140f,
  0.984681707410970940f, 0.984547684191773960f, 0.984413081788540700f,
  0.984277900280454370f,
  0.984142139747038570f, 0.984005800268157870f, 0.983868881924017220f,
  0.983731384795162090f,
  0.983593308962478650f, 0.983454654507193270f, 0.983315421510872810f,
  0.983175610055424420f,
  0.983035220223095640f, 0.982894252096474070f, 0.982752705758487830f,
  0.982610581292404750f,
  0.982467878781833170f, 0.982324598310721280f, 0.982180739963357090f,
  0.982036303824369020f,
  0.981891289978725100f, 0.981745698511732990f, 0.981599529509040720f,
  0.981452783056635520f,
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  0.980860024481523870f,
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  0.980258033678303550f,
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  0.979646816313141210f,
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  0.979026378139047580f,
  0.978869828526574120f, 0.978712703070200420f, 0.978555001862359550f,
  0.978396724995823090f,
  0.978237872563701090f, 0.978078444659442380f, 0.977918441376834370f,
  0.977757862810002760f,
  0.977596709053411890f, 0.977434980201864260f, 0.977272676350500860f,
  0.977109797594800880f,
  0.976946344030581670f, 0.976782315753998650f, 0.976617712861545640f,
  0.976452535450054060f,
  0.976286783616693630f, 0.976120457458971910f, 0.975953557074734300f,
  0.975786082562163930f,
  0.975618034019781750f, 0.975449411546446380f, 0.975280215241354220f,
  0.975110445204038890f,
  0.974940101534371830f, 0.974769184332561770f, 0.974597693699155050f,
  0.974425629735034990f,
  0.974252992541422500f, 0.974079782219875680f, 0.973905998872289570f,
  0.973731642600896400f,
  0.973556713508265560f, 0.973381211697303290f, 0.973205137271252800f,
  0.973028490333694210f,
  0.972851270988544180f, 0.972673479340056430f, 0.972495115492821190f,
  0.972316179551765300f,
  0.972136671622152230f, 0.971956591809581720f, 0.971775940219990140f,
  0.971594716959650160f,
  0.971412922135170940f, 0.971230555853497380f, 0.971047618221911100f,
  0.970864109348029470f,
  0.970680029339806130f, 0.970495378305530560f, 0.970310156353828110f,
  0.970124363593660280f,
  0.969938000134323960f, 0.969751066085452140f, 0.969563561557013180f,
  0.969375486659311280f,
  0.969186841502985950f, 0.968997626199012420f, 0.968807840858700970f,
  0.968617485593697540f,
  0.968426560515983190f, 0.968235065737874320f, 0.968043001372022260f,
  0.967850367531413620f,
  0.967657164329369880f, 0.967463391879547550f, 0.967269050295937790f,
  0.967074139692867040f,
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  0.966288809384209690f,
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  0.964690871009481030f,
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  0.963878277983814200f,
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  0.963056612568704340f,
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  0.962225882497979020f,
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  0.961386095590786250f,
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  0.960537259751520050f,
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  0.957051588141040970f,
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  0.955254670510586990f,
  0.955027525629714160f, 0.954799818930753720f, 0.954571550547659630f,
  0.954342720614716480f,
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  0.953421788081700310f,
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  0.941673191584771360f,
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  0.185678338887987790f, 0.184924631470150870f, 0.184170815265917720f,
  0.183416890718739230f,
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  0.180400117971807270f,
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  0.177381647230260200f,
  0.176626767562280960f, 0.175871783989325040f, 0.175116696955530060f,
  0.174361506905093830f,
  0.173606214282275410f, 0.172850819531394200f, 0.172095323096829040f,
  0.171339725423019260f,
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  0.168316331226194910f,
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  0.162264818532558110f,
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  0.147109808096871850f,
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  0.144074537864995330f,
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  0.128878417262776660f,
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  0.125835439498487020f,
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  0.122791277323116900f,
  0.122030055072553410f, 0.121268761034852550f, 0.120507395657864240f,
  0.119745959389479630f,
  0.118984452677632520f, 0.118222875970297250f, 0.117461229715489990f,
  0.116699514361267840f,
  0.115937730355727850f, 0.115175878147008180f, 0.114413958183287050f,
  0.113651970912781920f,
  0.112889916783750470f, 0.112127796244489750f, 0.111365609743335190f,
  0.110603357728661910f,
  0.109841040648882680f, 0.109078658952449240f, 0.108316213087851300f,
  0.107553703503615710f,
  0.106791130648307380f, 0.106028494970528530f, 0.105265796918917650f,
  0.104503036942150550f,
  0.103740215488939480f, 0.102977333008032250f, 0.102214389948213370f,
  0.101451386758302160f,
  0.100688323887153970f, 0.099925201783659226f, 0.099162020896742573f,
  0.098398781675363881f,
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  0.092290821750062355f,
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  0.086179387127484922f,
  0.085415224943307277f, 0.084651012511553700f, 0.083886750281790226f,
  0.083122438703613077f,
  0.082358078226646619f, 0.081593669300544638f, 0.080829212374989468f,
  0.080064707899690932f,
  0.079300156324387569f, 0.078535558098845590f, 0.077770913672857989f,
  0.077006223496245585f,
  0.076241488018856149f, 0.075476707690563416f, 0.074711882961268378f,
  0.073947014280897269f,
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  0.070887109048087787f,
  0.070122027362133646f, 0.069356904425197236f, 0.068591740687380900f,
  0.067826536598810966f,
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  0.064765325740339871f,
  0.063999926650714078f, 0.063234489911580136f, 0.062469015973224969f,
  0.061703505285957416f,
  0.060937958300107238f, 0.060172375466026218f, 0.059406757234087247f,
  0.058641104054683348f,
  0.057875416378229017f, 0.057109694655158132f, 0.056343939335925283f,
  0.055578150871004817f,
  0.054812329710889909f, 0.054046476306093640f, 0.053280591107148056f,
  0.052514674564603257f,
  0.051748727129028414f, 0.050982749251010900f, 0.050216741381155325f,
  0.049450703970084824f,
  0.048684637468439020f, 0.047918542326875327f, 0.047152418996068000f,
  0.046386267926707213f,
  0.045620089569500123f, 0.044853884375169933f, 0.044087652794454979f,
  0.043321395278109784f,
  0.042555112276904117f, 0.041788804241622082f, 0.041022471623063397f,
  0.040256114872041358f,
  0.039489734439384118f, 0.038723330775933762f, 0.037956904332545366f,
  0.037190455560088091f,
  0.036423984909444228f, 0.035657492831508264f, 0.034890979777187955f,
  0.034124446197403423f,
  0.033357892543086159f, 0.032591319265180385f, 0.031824726814640963f,
  0.031058115642434700f,
  0.030291486199539423f, 0.029524838936943035f, 0.028758174305644590f,
  0.027991492756653365f,
  0.027224794740987910f, 0.026458080709677145f, 0.025691351113759395f,
  0.024924606404281485f,
  0.024157847032300020f, 0.023391073448879338f, 0.022624286105092803f,
  0.021857485452021874f,
  0.021090671940755180f, 0.020323846022389572f, 0.019557008148029204f,
  0.018790158768784596f,
  0.018023298335773701f, 0.017256427300120978f, 0.016489546112956454f,
  0.015722655225417017f,
  0.014955755088644378f, 0.014188846153786343f, 0.013421928871995907f,
  0.012655003694430301f,
  0.011888071072252072f, 0.011121131456628141f, 0.010354185298728884f,
  0.009587233049729183f,
  0.008820275160807512f, 0.008053312083144991f, 0.007286344267926684f,
  0.006519372166339549f,
  0.005752396229573737f, 0.004985416908821652f, 0.004218434655277024f,
  0.003451449920135975f,
  0.002684463154596083f, 0.001917474809855460f, 0.001150485337113809f,
  0.000383495187571497f
};

static const float32_t cos_factors_8192[8192] = {
  1.999999990808214700, 1.999999917273932200, 1.999999770205369800,
    1.999999549602533100,
  1.999999255465430200, 1.999998887794072000, 1.999998446588471700,
    1.999997931848645600,
  1.999997343574612800, 1.999996681766395000, 1.999995946424016200,
    1.999995137547503600,
  1.999994255136887000, 1.999993299192198700, 1.999992269713474200,
    1.999991166700750800,
  1.999989990154069600, 1.999988740073473500, 1.999987416459008600,
    1.999986019310723500,
  1.999984548628669600, 1.999983004412901000, 1.999981386663474400,
    1.999979695380449400,
  1.999977930563888100, 1.999976092213855400, 1.999974180330418700,
    1.999972194913648900,
  1.999970135963618400, 1.999968003480403000, 1.999965797464081200,
    1.999963517914734100,
  1.999961164832445800, 1.999958738217302300, 1.999956238069392900,
    1.999953664388809800,
  1.999951017175647600, 1.999948296430003500, 1.999945502151977600,
    1.999942634341672600,
  1.999939692999193900, 1.999936678124649700, 1.999933589718150700,
    1.999930427779810900,
  1.999927192309745900, 1.999923883308075200, 1.999920500774920300,
    1.999917044710405500,
  1.999913515114657900, 1.999909911987807200, 1.999906235329986100,
    1.999902485141329400,
  1.999898661421975400, 1.999894764172064600, 1.999890793391740000,
    1.999886749081147800,
  1.999882631240436700, 1.999878439869758200, 1.999874174969266300,
    1.999869836539117700,
  1.999865424579472000, 1.999860939090491600, 1.999856380072341000,
    1.999851747525188200,
  1.999847041449203300, 1.999842261844559700, 1.999837408711432600,
    1.999832482050000900,
  1.999827481860445300, 1.999822408142949900, 1.999817260897701400,
    1.999812040124888700,
  1.999806745824704000, 1.999801377997341800, 1.999795936642999600,
    1.999790421761877400,
  1.999784833354177900, 1.999779171420106700, 1.999773435959872000,
    1.999767626973684400,
  1.999761744461757700, 1.999755788424308200, 1.999749758861554900,
    1.999743655773719400,
  1.999737479161026100, 1.999731229023702200, 1.999724905361977200,
    1.999718508176084000,
  1.999712037466257600, 1.999705493232735800, 1.999698875475759600,
    1.999692184195571900,
  1.999685419392419000, 1.999678581066549400, 1.999671669218214600,
    1.999664683847668800,
  1.999657624955168700, 1.999650492540973900, 1.999643286605346800,
    1.999636007148552400,
  1.999628654170857900, 1.999621227672533800, 1.999613727653853500,
    1.999606154115092500,
  1.999598507056529000, 1.999590786478444600, 1.999582992381123000,
    1.999575124764850800,
  1.999567183629917100, 1.999559168976613900, 1.999551080805236100,
    1.999542919116081000,
  1.999534683909448600, 1.999526375185641800, 1.999517992944965800,
    1.999509537187729200,
  1.999501007914242600, 1.999492405124819700, 1.999483728819776900,
    1.999474978999432800,
  1.999466155664109600, 1.999457258814131500, 1.999448288449825500,
    1.999439244571521700,
  1.999430127179552500, 1.999420936274252800, 1.999411671855960900,
    1.999402333925017300,
  1.999392922481765500, 1.999383437526551300, 1.999373879059723500,
    1.999364247081633500,
  1.999354541592635500, 1.999344762593086500, 1.999334910083345700,
    1.999324984063775700,
  1.999314984534741100, 1.999304911496609700, 1.999294764949752100,
    1.999284544894541100,
  1.999274251331352400, 1.999263884260564600, 1.999253443682558900,
    1.999242929597719200,
  1.999232342006432000, 1.999221680909086400, 1.999210946306074500,
    1.999200138197791100,
  1.999189256584633600, 1.999178301467001900, 1.999167272845298900,
    1.999156170719930100,
  1.999144995091303600, 1.999133745959830600, 1.999122423325924200,
    1.999111027190001000,
  1.999099557552479900, 1.999088014413782800, 1.999076397774334000,
    1.999064707634560700,
  1.999052943994892300, 1.999041106855761900, 1.999029196217604100,
    1.999017212080857400,
  1.999005154445962200, 1.998993023313361700, 1.998980818683502100,
    1.998968540556831800,
  1.998956188933802800, 1.998943763814868800, 1.998931265200486900,
    1.998918693091116200,
  1.998906047487219600, 1.998893328389261400, 1.998880535797709700,
    1.998867669713034500,
  1.998854730135709400, 1.998841717066209400, 1.998828630505013400,
    1.998815470452602400,
  1.998802236909460500, 1.998788929876074100, 1.998775549352932400,
    1.998762095340527400,
  1.998748567839354000, 1.998734966849909000, 1.998721292372693100,
    1.998707544408208700,
  1.998693722956961500, 1.998679828019459300, 1.998665859596213500,
    1.998651817687737300,
  1.998637702294547000, 1.998623513417161700, 1.998609251056103100,
    1.998594915211895600,
  1.998580505885066100, 1.998566023076144600, 1.998551466785663400,
    1.998536837014157900,
  1.998522133762165900, 1.998507357030227900, 1.998492506818887200,
    1.998477583128690100,
  1.998462585960185000, 1.998447515313923400, 1.998432371190459500,
    1.998417153590349900,
  1.998401862514154200, 1.998386497962434800, 1.998371059935756300,
    1.998355548434686400,
  1.998339963459795400, 1.998324305011656600, 1.998308573090845200,
    1.998292767697940100,
  1.998276888833522300, 1.998260936498175400, 1.998244910692486000,
    1.998228811417043700,
  1.998212638672439900, 1.998196392459269400, 1.998180072778129600,
    1.998163679629620500,
  1.998147213014344900, 1.998130672932908000, 1.998114059385918400,
    1.998097372373986300,
  1.998080611897725700, 1.998063777957752600, 1.998046870554686100,
    1.998029889689147700,
  1.998012835361761900, 1.997995707573155600, 1.997978506323958600,
    1.997961231614803200,
  1.997943883446324800, 1.997926461819161000, 1.997908966733952500,
    1.997891398191342400,
  1.997873756191977000, 1.997856040736504500, 1.997838251825576400,
    1.997820389459846700,
  1.997802453639972300, 1.997784444366612600, 1.997766361640429800,
    1.997748205462088500,
  1.997729975832256600, 1.997711672751604200, 1.997693296220804000,
    1.997674846240532000,
  1.997656322811466500, 1.997637725934288300, 1.997619055609681600,
    1.997600311838332500,
  1.997581494620930300, 1.997562603958166600, 1.997543639850736200,
    1.997524602299336500,
  1.997505491304667000, 1.997486306867430900, 1.997467048988333000,
    1.997447717668082000,
  1.997428312907388200, 1.997408834706965000, 1.997389283067528800,
    1.997369657989798400,
  1.997349959474495200, 1.997330187522343700, 1.997310342134070800,
    1.997290423310406100,
  1.997270431052081900, 1.997250365359833200, 1.997230226234397900,
    1.997210013676516700,
  1.997189727686932400, 1.997169368266390900, 1.997148935415640600,
    1.997128429135433400,
  1.997107849426522600, 1.997087196289665000, 1.997066469725620200,
    1.997045669735150000,
  1.997024796319019300, 1.997003849477995600, 1.996982829212848900,
    1.996961735524351900,
  1.996940568413280600, 1.996919327880412900, 1.996898013926530000,
    1.996876626552415400,
  1.996855165758855600, 1.996833631546639300, 1.996812023916558800,
    1.996790342869408000,
  1.996768588405984300, 1.996746760527087700, 1.996724859233520500,
    1.996702884526087900,
  1.996680836405598100, 1.996658714872861800, 1.996636519928692000,
    1.996614251573904900,
  1.996591909809319400, 1.996569494635756600, 1.996547006054041100,
    1.996524444064999400,
  1.996501808669461000, 1.996479099868258400, 1.996456317662226300,
    1.996433462052202600,
  1.996410533039027400, 1.996387530623543900, 1.996364454806597500,
    1.996341305589037100,
  1.996318082971713500, 1.996294786955480800, 1.996271417541195300,
    1.996247974729716200,
  1.996224458521905600, 1.996200868918628100, 1.996177205920750800,
    1.996153469529144100,
  1.996129659744680300, 1.996105776568235100, 1.996081820000686500,
    1.996057790042915500,
  1.996033686695805300, 1.996009509960242400, 1.995985259837115500,
    1.995960936327316300,
  1.995936539431739000, 1.995912069151280800, 1.995887525486841300,
    1.995862908439323100,
  1.995838218009630800, 1.995813454198672700, 1.995788617007359100,
    1.995763706436603200,
  1.995738722487320600, 1.995713665160430600, 1.995688534456853800,
    1.995663330377514400,
  1.995638052923339300, 1.995612702095257400, 1.995587277894201400,
    1.995561780321105600,
  1.995536209376907600, 1.995510565062547800, 1.995484847378968600,
    1.995459056327116000,
  1.995433191907938000, 1.995407254122385700, 1.995381242971412600,
    1.995355158455975200,
  1.995329000577032800, 1.995302769335546500, 1.995276464732481200,
    1.995250086768804100,
  1.995223635445484900, 1.995197110763496000, 1.995170512723813100,
    1.995143841327413400,
  1.995117096575278200, 1.995090278468390600, 1.995063387007736600,
    1.995036422194304700,
  1.995009384029086800, 1.994982272513076600, 1.994955087647271000,
    1.994927829432669800,
  1.994900497870274900, 1.994873092961091200, 1.994845614706126400,
    1.994818063106391000,
  1.994790438162897600, 1.994762739876662100, 1.994734968248702800,
    1.994707123280041100,
  1.994679204971700100, 1.994651213324707000, 1.994623148340090700,
    1.994595010018883000,
  1.994566798362118300, 1.994538513370834200, 1.994510155046070700,
    1.994481723388870100,
  1.994453218400277900, 1.994424640081342100, 1.994395988433113700,
    1.994367263456646100,
  1.994338465152995000, 1.994309593523219600, 1.994280648568381500,
    1.994251630289544600,
  1.994222538687776100, 1.994193373764145500, 1.994164135519725000,
    1.994134823955589800,
  1.994105439072817700, 1.994075980872488800, 1.994046449355686200,
    1.994016844523496000,
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};

/**    
 * @brief  Initialization function for the floating-point DCT4/IDCT4.   
 * @param[in,out] *S         points to an instance of floating-point DCT4/IDCT4 structure.   
 * @param[in]     *S_RFFT    points to an instance of floating-point RFFT/RIFFT structure.   
 * @param[in]     *S_CFFT    points to an instance of floating-point CFFT/CIFFT structure.   
 * @param[in]     N			 length of the DCT4.   
 * @param[in]     Nby2       half of the length of the DCT4.   
 * @param[in]     normalize  normalizing factor.   
 * @return        arm_status function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if <code>fftLenReal</code> is not a supported transform length.   
 * \par Normalizing factor:    
 * The normalizing factor is <code>sqrt(2/N)</code>, which depends on the size of transform <code>N</code>.    
 * Floating-point normalizing factors are mentioned in the table below for different DCT sizes:    
 * \image html dct4NormalizingF32Table.gif    
 */

arm_status arm_dct4_init_f32(
  arm_dct4_instance_f32 * S,
  arm_rfft_instance_f32 * S_RFFT,
  arm_cfft_radix4_instance_f32 * S_CFFT,
  uint16_t N,
  uint16_t Nby2,
  float32_t normalize)
{
  /*  Initialize the default arm status */
  arm_status status = ARM_MATH_SUCCESS;

  /* Initializing the pointer array with the weight table base addresses of different lengths */
  float32_t *twiddlePtr[4] =
    { (float32_t *) Weights_128, (float32_t *) Weights_512,
    (float32_t *) Weights_2048, (float32_t *) Weights_8192
  };

  /* Initializing the pointer array with the cos factor table base addresses of different lengths */
  float32_t *pCosFactor[4] =
    { (float32_t *) cos_factors_128, (float32_t *) cos_factors_512,
    (float32_t *) cos_factors_2048, (float32_t *) cos_factors_8192
  };

  /* Initialize the DCT4 length */
  S->N = N;

  /* Initialize the half of DCT4 length */
  S->Nby2 = Nby2;

  /* Initialize the DCT4 Normalizing factor */
  S->normalize = normalize;

  /* Initialize Real FFT Instance */
  S->pRfft = S_RFFT;

  /* Initialize Complex FFT Instance */
  S->pCfft = S_CFFT;

  switch (N)
  {
    /* Initialize the table modifier values */
  case 8192u:
    S->pTwiddle = twiddlePtr[3];
    S->pCosFactor = pCosFactor[3];
    break;
  case 2048u:
    S->pTwiddle = twiddlePtr[2];
    S->pCosFactor = pCosFactor[2];
    break;
  case 512u:
    S->pTwiddle = twiddlePtr[1];
    S->pCosFactor = pCosFactor[1];
    break;
  case 128u:
    S->pTwiddle = twiddlePtr[0];
    S->pCosFactor = pCosFactor[0];
    break;
  default:
    status = ARM_MATH_ARGUMENT_ERROR;
  }

  /* Initialize the RFFT/RIFFT */
  arm_rfft_init_f32(S->pRfft, S->pCfft, S->N, 0u, 1u);

  /* return the status of DCT4 Init function */
  return (status);
}

/**    
   * @} end of DCT4_IDCT4 group    
   */