/* ---------------------------------------------------------------------- * Copyright (C) 2010-2013 ARM Limited. All rights reserved. * * $Date: 17. January 2013 * $Revision: V1.4.1 * * 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, 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-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, 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, 0.981305459240844670f, 0.981157558148334830f, 0.981009079866112630f, 0.980860024481523870f, 0.980710392082253970f, 0.980560182756327840f, 0.980409396592109910f, 0.980258033678303550f, 0.980106094103951770f, 0.979953577958436740f, 0.979800485331479790f, 0.979646816313141210f, 0.979492570993820810f, 0.979337749464256780f, 0.979182351815526930f, 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, 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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, 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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 */