/* ----------------------------------------------------------------------
* 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 : weights[n] = e^(-j*n*pi/(2*N))
* \par
* C command to generate the table
*
* for(i = 0; i< N; i++)
* {
* weights[2*i]= cos(i*c);
* weights[(2*i)+1]= -sin(i * c);
* }
* \par
* Where N is the Number of weights to be calculated and c is pi/(2*N)
* \par
* In the tables below the real and imaginary values are placed alternatively, hence the
* array length is 2*N.
*/
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,
0.911706032005429880f, -0.410843171057903910f, 0.910441292258067250f,
-0.413638312238434500f,
0.909167983090522380f, -0.416429560097637150f, 0.907886116487666260f,
-0.419216888363223910f,
0.906595704514915330f, -0.422000270799799680f, 0.905296759318118820f,
-0.424779681209108810f,
0.903989293123443340f, -0.427555093430282080f, 0.902673318237258830f,
-0.430326481340082610f,
0.901348847046022030f, -0.433093818853151960f, 0.900015892016160280f,
-0.435857079922255470f,
0.898674465693953820f, -0.438616238538527660f, 0.897324580705418320f,
-0.441371268731716670f,
0.895966249756185220f, -0.444122144570429200f, 0.894599485631382700f,
-0.446868840162374160f,
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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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0.040639296235933854, -0.999173882565716380, 0.040447706297560768,
-0.999181656684742350,
0.040256114872041358, -0.999189394066714920, 0.040064521966419686,
-0.999197094711349880,
0.039872927587739845, -0.999204758618363890, 0.039681331743046659,
-0.999212385787475290,
0.039489734439384118, -0.999219976218403530, 0.039298135683797149,
-0.999227529910869610,
0.039106535483329839, -0.999235046864595850, 0.038914933845027241,
-0.999242527079305830,
0.038723330775933762, -0.999249970554724420, 0.038531726283093877,
-0.999257377290578060,
0.038340120373552791, -0.999264747286594420, 0.038148513054354856,
-0.999272080542502610,
0.037956904332545366, -0.999279377058032710, 0.037765294215169005,
-0.999286636832916740,
0.037573682709270514, -0.999293859866887790, 0.037382069821895340,
-0.999301046159680070,
0.037190455560088091, -0.999308195711029470, 0.036998839930894332,
-0.999315308520673070,
0.036807222941358991, -0.999322384588349540, 0.036615604598527057,
-0.999329423913798420,
0.036423984909444228, -0.999336426496761240, 0.036232363881155374,
-0.999343392336980220,
0.036040741520706299, -0.999350321434199440, 0.035849117835142184,
-0.999357213788164000,
0.035657492831508264, -0.999364069398620550, 0.035465866516850478,
-0.999370888265317060,
0.035274238898213947, -0.999377670388002850, 0.035082609982644702,
-0.999384415766428560,
0.034890979777187955, -0.999391124400346050, 0.034699348288889847,
-0.999397796289508640,
0.034507715524795889, -0.999404431433671300, 0.034316081491951658,
-0.999411029832589780,
0.034124446197403423, -0.999417591486021720, 0.033932809648196623,
-0.999424116393725640,
0.033741171851377642, -0.999430604555461730, 0.033549532813992221,
-0.999437055970991530,
0.033357892543086159, -0.999443470640077770, 0.033166251045705968,
-0.999449848562484530,
0.032974608328897315, -0.999456189737977340, 0.032782964399706793,
-0.999462494166323160,
0.032591319265180385, -0.999468761847290050, 0.032399672932364114,
-0.999474992780647780,
0.032208025408304704, -0.999481186966166950, 0.032016376700048046,
-0.999487344403620080,
0.031824726814640963, -0.999493465092780590, 0.031633075759129645,
-0.999499549033423640,
0.031441423540560343, -0.999505596225325310, 0.031249770165979990,
-0.999511606668263440,
0.031058115642434700, -0.999517580362016990, 0.030866459976971503,
-0.999523517306366350,
0.030674803176636581, -0.999529417501093140, 0.030483145248477058,
-0.999535280945980540,
0.030291486199539423, -0.999541107640812940, 0.030099826036870208,
-0.999546897585375960,
0.029908164767516655, -0.999552650779456990, 0.029716502398525156,
-0.999558367222844300,
0.029524838936943035, -0.999564046915327740, 0.029333174389816984,
-0.999569689856698580,
0.029141508764193740, -0.999575296046749220, 0.028949842067120746,
-0.999580865485273700,
0.028758174305644590, -0.999586398172067070, 0.028566505486812797,
-0.999591894106925950,
0.028374835617672258, -0.999597353289648380, 0.028183164705269902,
-0.999602775720033530,
0.027991492756653365, -0.999608161397882110, 0.027799819778869434,
-0.999613510322995950,
0.027608145778965820, -0.999618822495178640, 0.027416470763989606,
-0.999624097914234570,
0.027224794740987910, -0.999629336579970110, 0.027033117717008563,
-0.999634538492192300,
0.026841439699098527, -0.999639703650710200, 0.026649760694305708,
-0.999644832055333610,
0.026458080709677145, -0.999649923705874240, 0.026266399752260809,
-0.999654978602144690,
0.026074717829104040, -0.999659996743959220, 0.025883034947254208,
-0.999664978131133310,
0.025691351113759395, -0.999669922763483760, 0.025499666335666818,
-0.999674830640828740,
0.025307980620024630, -0.999679701762987930, 0.025116293973880335,
-0.999684536129782140,
0.024924606404281485, -0.999689333741033640, 0.024732917918276334,
-0.999694094596566000,
0.024541228522912264, -0.999698818696204250, 0.024349538225237600,
-0.999703506039774650,
0.024157847032300020, -0.999708156627104880, 0.023966154951147241,
-0.999712770458023870,
0.023774461988827676, -0.999717347532362190, 0.023582768152388880,
-0.999721887849951310,
0.023391073448879338, -0.999726391410624470, 0.023199377885346890,
-0.999730858214216030,
0.023007681468839410, -0.999735288260561680, 0.022815984206405477,
-0.999739681549498660,
0.022624286105092803, -0.999744038080865430, 0.022432587171950024,
-0.999748357854501780,
0.022240887414024919, -0.999752640870248840, 0.022049186838366180,
-0.999756887127949080,
0.021857485452021874, -0.999761096627446610, 0.021665783262040089,
-0.999765269368586450,
0.021474080275469605, -0.999769405351215280, 0.021282376499358355,
-0.999773504575180990,
0.021090671940755180, -0.999777567040332940, 0.020898966606708289,
-0.999781592746521670,
0.020707260504265912, -0.999785581693599210, 0.020515553640476986,
-0.999789533881418780,
0.020323846022389572, -0.999793449309835270, 0.020132137657052664,
-0.999797327978704690,
0.019940428551514598, -0.999801169887884260, 0.019748718712823757,
-0.999804975037232870,
0.019557008148029204, -0.999808743426610520, 0.019365296864179146,
-0.999812475055878780,
0.019173584868322699, -0.999816169924900410, 0.018981872167508348,
-0.999819828033539420,
0.018790158768784596, -0.999823449381661570, 0.018598444679200642,
-0.999827033969133420,
0.018406729905804820, -0.999830581795823400, 0.018215014455646376,
-0.999834092861600960,
0.018023298335773701, -0.999837567166337090, 0.017831581553236088,
-0.999841004709904000,
0.017639864115082195, -0.999844405492175240, 0.017448146028360704,
-0.999847769513025900,
0.017256427300120978, -0.999851096772332190, 0.017064707937411529,
-0.999854387269971890,
0.016872987947281773, -0.999857641005823860, 0.016681267336780482,
-0.999860857979768540,
0.016489546112956454, -0.999864038191687680, 0.016297824282859176,
-0.999867181641464380,
0.016106101853537263, -0.999870288328982950, 0.015914378832040249,
-0.999873358254129260,
0.015722655225417017, -0.999876391416790410, 0.015530931040716478,
-0.999879387816854930,
0.015339206284988220, -0.999882347454212560, 0.015147480965280975,
-0.999885270328754520,
0.014955755088644378, -0.999888156440373320, 0.014764028662127416,
-0.999891005788962950,
0.014572301692779104, -0.999893818374418490, 0.014380574187649138,
-0.999896594196636680,
0.014188846153786343, -0.999899333255515390, 0.013997117598240459,
-0.999902035550953920,
0.013805388528060349, -0.999904701082852900, 0.013613658950295789,
-0.999907329851114300,
0.013421928871995907, -0.999909921855641540, 0.013230198300209845,
-0.999912477096339240,
0.013038467241987433, -0.999914995573113470, 0.012846735704377631,
-0.999917477285871770,
0.012655003694430301, -0.999919922234522750, 0.012463271219194662,
-0.999922330418976490,
0.012271538285719944, -0.999924701839144500, 0.012079804901056066,
-0.999927036494939640,
0.011888071072252072, -0.999929334386276070, 0.011696336806357907,
-0.999931595513069200,
0.011504602110422875, -0.999933819875236000, 0.011312866991496287,
-0.999936007472694620,
0.011121131456628141, -0.999938158305364590, 0.010929395512867561,
-0.999940272373166960,
0.010737659167264572, -0.999942349676023910, 0.010545922426868548,
-0.999944390213859060,
0.010354185298728884, -0.999946393986597460, 0.010162447789895645,
-0.999948360994165400,
0.009970709907418029, -0.999950291236490480, 0.009778971658346134,
-0.999952184713501780,
0.009587233049729183, -0.999954041425129780, 0.009395494088617302,
-0.999955861371306100,
0.009203754782059960, -0.999957644551963900, 0.009012015137106642,
-0.999959390967037450,
0.008820275160807512, -0.999961100616462820, 0.008628534860211857,
-0.999962773500176930,
0.008436794242369860, -0.999964409618118280, 0.008245053314331058,
-0.999966008970226920,
0.008053312083144991, -0.999967571556443780, 0.007861570555861883,
-0.999969097376711580,
0.007669828739531077, -0.999970586430974140, 0.007478086641202815,
-0.999972038719176730,
0.007286344267926684, -0.999973454241265940, 0.007094601626752279,
-0.999974832997189810,
0.006902858724729877, -0.999976174986897610, 0.006711115568908869,
-0.999977480210339940,
0.006519372166339549, -0.999978748667468830, 0.006327628524071549,
-0.999979980358237650,
0.006135884649154515, -0.999981175282601110, 0.005944140548638765,
-0.999982333440515350,
0.005752396229573737, -0.999983454831937730, 0.005560651699009764,
-0.999984539456826970,
0.005368906963996303, -0.999985587315143200, 0.005177162031583702,
-0.999986598406848000,
0.004985416908821652, -0.999987572731904080, 0.004793671602759852,
-0.999988510290275690,
0.004601926120448672, -0.999989411081928400, 0.004410180468937601,
-0.999990275106828920,
0.004218434655277024, -0.999991102364945590, 0.004026688686516664,
-0.999991892856248010,
0.003834942569706248, -0.999992646580707190, 0.003643196311896179,
-0.999993363538295150,
0.003451449920135975, -0.999994043728985820, 0.003259703401476044,
-0.999994687152754080,
0.003067956762966138, -0.999995293809576190, 0.002876210011656010,
-0.999995863699429940,
0.002684463154596083, -0.999996396822294350, 0.002492716198835898,
-0.999996893178149880,
0.002300969151425887, -0.999997352766978210, 0.002109222019415816,
-0.999997775588762350,
0.001917474809855460, -0.999998161643486980, 0.001725727529795258,
-0.999998510931137790,
0.001533980186284766, -0.999998823451701880, 0.001342232786374430,
-0.999999099205167830,
0.001150485337113809, -0.999999338191525530, 0.000958737845553352,
-0.999999540410766110,
0.000766990318742846, -0.999999705862882230, 0.000575242763732077,
-0.999999834547867670,
0.000383495187571497, -0.999999926465717890, 0.000191747597310674,
-0.999999981616429330,
};
/**
* \par
* cosFactor tables are generated using the formula : cos_factors[n] = 2 * cos((2n+1)*pi/(4*N))
* \par
* C command to generate the table
* \par
* for(i = 0; i< N; i++)
* {
* cos_factors[i]= 2 * cos((2*i+1)*c/2);
* }
* \par
* where N is the number of factors to generate and c is pi/(2*N)
*/
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,
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0.416778191021997590f,
0.416080867929579320f, 0.415383300067506290f, 0.414685487846140010f,
0.413987431675985510f,
0.413289131967690960f, 0.412590589132048380f, 0.411891803579992220f,
0.411192775722600160f,
0.410493505971092520f, 0.409793994736831200f, 0.409094242431320920f,
0.408394249466208110f,
0.407694016253280170f, 0.406993543204466460f, 0.406292830731837470f,
0.405591879247603870f,
0.404890689164117750f, 0.404189260893870750f, 0.403487594849495310f,
0.402785691443763640f,
0.402083551089587040f, 0.401381174200016790f, 0.400678561188243350f,
0.399975712467595390f,
0.399272628451540930f, 0.398569309553686360f, 0.397865756187775750f,
0.397161968767691720f,
0.396457947707453960f, 0.395753693421220080f, 0.395049206323284880f,
0.394344486828079650f,
0.393639535350172880f, 0.392934352304269600f, 0.392228938105210370f,
0.391523293167972350f,
0.390817417907668610f, 0.390111312739546910f, 0.389404978078991100f,
0.388698414341519250f,
0.387991621942784910f, 0.387284601298575890f, 0.386577352824813980f,
0.385869876937555310f,
0.385162174052989970f, 0.384454244587440870f, 0.383746088957365010f,
0.383037707579352130f,
0.382329100870124510f, 0.381620269246537520f, 0.380911213125578130f,
0.380201932924366050f,
0.379492429060152740f, 0.378782701950320600f, 0.378072752012383990f,
0.377362579663988450f,
0.376652185322909620f, 0.375941569407054420f, 0.375230732334460030f,
0.374519674523293210f,
0.373808396391851370f, 0.373096898358560690f, 0.372385180841977360f,
0.371673244260786630f,
0.370961089033802040f, 0.370248715579966360f, 0.369536124318350760f,
0.368823315668153960f,
0.368110290048703050f, 0.367397047879452820f, 0.366683589579984930f,
0.365969915570008910f,
0.365256026269360380f, 0.364541922098002180f, 0.363827603476023610f,
0.363113070823639530f,
0.362398324561191310f, 0.361683365109145950f, 0.360968192888095290f,
0.360252808318756830f,
0.359537211821973180f, 0.358821403818710860f, 0.358105384730061760f,
0.357389154977241000f,
0.356672714981588260f, 0.355956065164567010f, 0.355239205947763370f,
0.354522137752887430f,
0.353804861001772160f, 0.353087376116372530f, 0.352369683518766630f,
0.351651783631154680f,
0.350933676875858360f, 0.350215363675321740f, 0.349496844452109600f,
0.348778119628908420f,
0.348059189628525780f, 0.347340054873889190f, 0.346620715788047320f,
0.345901172794169100f,
0.345181426315542610f, 0.344461476775576480f, 0.343741324597798600f,
0.343020970205855540f,
0.342300414023513690f, 0.341579656474657210f, 0.340858697983289440f,
0.340137538973531880f,
0.339416179869623410f, 0.338694621095921190f, 0.337972863076899830f,
0.337250906237150650f,
0.336528751001382350f, 0.335806397794420560f, 0.335083847041206580f,
0.334361099166798900f,
0.333638154596370920f, 0.332915013755212650f, 0.332191677068729320f,
0.331468144962440920f,
0.330744417861982890f, 0.330020496193105530f, 0.329296380381672800f,
0.328572070853663690f,
0.327847568035170960f, 0.327122872352400510f, 0.326397984231672660f,
0.325672904099419900f,
0.324947632382188430f, 0.324222169506637130f, 0.323496515899536760f,
0.322770671987770710f,
0.322044638198334620f, 0.321318414958334910f, 0.320592002694990330f,
0.319865401835630610f,
0.319138612807695900f, 0.318411636038737960f, 0.317684471956418020f,
0.316957120988508150f,
0.316229583562890490f, 0.315501860107556040f, 0.314773951050606070f,
0.314045856820250820f,
0.313317577844809070f, 0.312589114552708660f, 0.311860467372486130f,
0.311131636732785270f,
0.310402623062358880f, 0.309673426790066490f, 0.308944048344875710f,
0.308214488155861220f,
0.307484746652204160f, 0.306754824263192780f, 0.306024721418221900f,
0.305294438546791720f,
0.304563976078509050f, 0.303833334443086470f, 0.303102514070341060f,
0.302371515390196130f,
0.301640338832678880f, 0.300908984827921890f, 0.300177453806162120f,
0.299445746197739950f,
0.298713862433100390f, 0.297981802942791920f, 0.297249568157465890f,
0.296517158507877410f,
0.295784574424884370f, 0.295051816339446720f, 0.294318884682627570f,
0.293585779885591310f,
0.292852502379604810f, 0.292119052596036540f, 0.291385430966355720f,
0.290651637922133220f,
0.289917673895040860f, 0.289183539316850310f, 0.288449234619434170f,
0.287714760234765280f,
0.286980116594915570f, 0.286245304132057120f, 0.285510323278461380f,
0.284775174466498300f,
0.284039858128637360f, 0.283304374697445790f, 0.282568724605589740f,
0.281832908285833460f,
0.281096926171038320f, 0.280360778694163810f, 0.279624466288266700f,
0.278887989386500280f,
0.278151348422115090f, 0.277414543828458200f, 0.276677576038972420f,
0.275940445487197320f,
0.275203152606767370f, 0.274465697831413220f, 0.273728081594960650f,
0.272990304331329980f,
0.272252366474536660f, 0.271514268458690810f, 0.270776010717996010f,
0.270037593686750510f,
0.269299017799346230f, 0.268560283490267890f, 0.267821391194094320f,
0.267082341345496350f,
0.266343134379238180f, 0.265603770730176440f, 0.264864250833259320f,
0.264124575123527490f,
0.263384744036113390f, 0.262644758006240100f, 0.261904617469222560f,
0.261164322860466590f,
0.260423874615468010f, 0.259683273169813930f, 0.258942518959180580f,
0.258201612419334870f,
0.257460553986133210f, 0.256719344095520720f, 0.255977983183532380f,
0.255236471686291820f,
0.254494810040010790f, 0.253752998680989940f, 0.253011038045617980f,
0.252268928570370810f,
0.251526670691812780f, 0.250784264846594550f, 0.250041711471454650f,
0.249299011003218300f,
0.248556163878796620f, 0.247813170535187620f, 0.247070031409475370f,
0.246326746938829060f,
0.245583317560504000f, 0.244839743711840750f, 0.244096025830264210f,
0.243352164353284880f,
0.242608159718496890f, 0.241864012363579210f, 0.241119722726294730f,
0.240375291244489500f,
0.239630718356093560f, 0.238886004499120170f, 0.238141150111664870f,
0.237396155631906550f,
0.236651021498106460f, 0.235905748148607370f, 0.235160336021834860f,
0.234414785556295250f,
0.233669097190576820f, 0.232923271363349120f, 0.232177308513361770f,
0.231431209079445730f,
0.230684973500512310f, 0.229938602215552260f, 0.229192095663636740f,
0.228445454283916550f,
0.227698678515621170f, 0.226951768798059980f, 0.226204725570620270f,
0.225457549272768540f,
0.224710240344049570f, 0.223962799224085520f, 0.223215226352576960f,
0.222467522169301990f,
0.221719687114115240f, 0.220971721626949060f, 0.220223626147812460f,
0.219475401116790340f,
0.218727046974044600f, 0.217978564159812290f, 0.217229953114406790f,
0.216481214278216900f,
0.215732348091705940f, 0.214983354995412820f, 0.214234235429951100f,
0.213484989836008080f,
0.212735618654345870f, 0.211986122325800410f, 0.211236501291280710f,
0.210486755991769890f,
0.209736886868323370f, 0.208986894362070070f, 0.208236778914211470f,
0.207486540966020700f,
0.206736180958843660f, 0.205985699334098050f, 0.205235096533272380f,
0.204484372997927180f,
0.203733529169694010f, 0.202982565490274460f, 0.202231482401441620f,
0.201480280345037820f,
0.200728959762976140f, 0.199977521097239290f, 0.199225964789878890f,
0.198474291283016360f,
0.197722501018842030f, 0.196970594439614370f, 0.196218571987660850f,
0.195466434105377090f,
0.194714181235225990f, 0.193961813819739010f, 0.193209332301514080f,
0.192456737123216840f,
0.191704028727579940f, 0.190951207557401860f, 0.190198274055548120f,
0.189445228664950340f,
0.188692071828605260f, 0.187938803989575850f, 0.187185425590990440f,
0.186431937076041640f,
0.185678338887987790f, 0.184924631470150870f, 0.184170815265917720f,
0.183416890718739230f,
0.182662858272129360f, 0.181908718369666160f, 0.181154471454990920f,
0.180400117971807270f,
0.179645658363882100f, 0.178891093075044830f, 0.178136422549186320f,
0.177381647230260200f,
0.176626767562280960f, 0.175871783989325040f, 0.175116696955530060f,
0.174361506905093830f,
0.173606214282275410f, 0.172850819531394200f, 0.172095323096829040f,
0.171339725423019260f,
0.170584026954463700f, 0.169828228135719880f, 0.169072329411405180f,
0.168316331226194910f,
0.167560234024823590f, 0.166804038252083870f, 0.166047744352825850f,
0.165291352771957970f,
0.164534863954446110f, 0.163778278345312690f, 0.163021596389637810f,
0.162264818532558110f,
0.161507945219266150f, 0.160750976895011390f, 0.159993914005098350f,
0.159236756994887850f,
0.158479506309796100f, 0.157722162395293690f, 0.156964725696906750f,
0.156207196660216040f,
0.155449575730855880f, 0.154691863354515400f, 0.153934059976937460f,
0.153176166043917870f,
0.152418182001306500f, 0.151660108295005400f, 0.150901945370970040f,
0.150143693675208330f,
0.149385353653779810f, 0.148626925752796540f, 0.147868410418422360f,
0.147109808096871850f,
0.146351119234411440f, 0.145592344277358450f, 0.144833483672080240f,
0.144074537864995330f,
0.143315507302571590f, 0.142556392431327340f, 0.141797193697830530f,
0.141037911548697770f,
0.140278546430595420f, 0.139519098790238600f, 0.138759569074390380f,
0.137999957729862760f,
0.137240265203515700f, 0.136480491942256310f, 0.135720638393040080f,
0.134960705002868830f,
0.134200692218792020f, 0.133440600487905820f, 0.132680430257352130f,
0.131920181974319760f,
0.131159856086043410f, 0.130399453039802740f, 0.129638973282923540f,
0.128878417262776660f,
0.128117785426777150f, 0.127357078222385570f, 0.126596296097105960f,
0.125835439498487020f,
0.125074508874121300f, 0.124313504671644300f, 0.123552427338735370f,
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,
0.097635484568517339f, 0.096872130025230527f, 0.096108718494565468f,
0.095345250425617742f,
0.094581726267515473f, 0.093818146469420494f, 0.093054511480527333f,
0.092290821750062355f,
0.091527077727284981f, 0.090763279861485704f, 0.089999428601987341f,
0.089235524398144139f,
0.088471567699340822f, 0.087707558954993645f, 0.086943498614549489f,
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,
0.073182102099402888f, 0.072417146866763538f, 0.071652149032982254f,
0.070887109048087787f,
0.070122027362133646f, 0.069356904425197236f, 0.068591740687380900f,
0.067826536598810966f,
0.067061292609636836f, 0.066296009170032283f, 0.065530686730193397f,
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,
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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 fftLenReal is not a supported transform length.
* \par Normalizing factor:
* The normalizing factor is sqrt(2/N), which depends on the size of transform N.
* 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
*/