| /* ---------------------------------------------------------------------- |
| * Copyright (C) 2011 ARM Limited. All rights reserved. |
| * |
| * $Date: 17. August 2011 |
| * $Revision: V1.0.11 |
| * |
| * Project: CMSIS DSP Library |
| * Title: arm_cfft_radix4_init_f32.c |
| * |
| * Description: Radix-4 Decimation in Frequency Floating-point CFFT & CIFFT Initialization function |
| * |
| * Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 |
| * |
| ** Version 1.0.11 2011/08/17 |
| * Updated to support 4096 CFFT length. |
| * |
| * Version 1.0.10 2011/7/15 |
| * Big Endian support added and Merged M0 and M3/M4 Source code. |
| * |
| * Version 1.0.3 2010/11/29 |
| * Re-organized the CMSIS folders and updated documentation. |
| * |
| * Version 1.0.2 2010/11/11 |
| * Documentation updated. |
| * |
| * Version 1.0.1 2010/10/05 |
| * Production release and review comments incorporated. |
| * |
| * Version 1.0.0 2010/09/20 |
| * Production release and review comments incorporated. |
| * |
| * Version 0.0.5 2010/04/26 |
| * incorporated review comments and updated with latest CMSIS layer |
| * |
| * Version 0.0.3 2010/03/10 |
| * Initial version |
| * -------------------------------------------------------------------- */ |
| |
| |
| #include "arm_math.h" |
| #include "arm_common_tables.h" |
| |
| /** |
| * @ingroup groupTransforms |
| */ |
| |
| /** |
| * @addtogroup CFFT_CIFFT |
| * @{ |
| */ |
| |
| /* |
| * @brief Floating-point Twiddle factors Table Generation |
| */ |
| |
| |
| /** |
| * \par |
| * Example code for Floating-point Twiddle factors Generation: |
| * \par |
| * <pre>for(i = 0; i< N; i++) |
| * { |
| * twiddleCoef[2*i]= cos(i * 2*PI/(float)N); |
| * twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N); |
| * } </pre> |
| * \par |
| * where N = 1024 and PI = 3.14159265358979 |
| * \par |
| * Cos and Sin values are in interleaved fashion |
| * |
| */ |
| |
| static const float32_t twiddleCoef[4096*2] = { |
| 1.000000000000000000f, 0.000000000000000000f, 0.999998823451701880f, 0.001533980186284766f, 0.999995293809576190f, 0.003067956762965976f, |
| 0.999989411081928400f, 0.004601926120448571f, 0.999981175282601110f, 0.006135884649154475f, 0.999970586430974140f, 0.007669828739531097f, |
| 0.999957644551963900f, 0.009203754782059819f, 0.999942349676023910f, 0.010737659167264491f, 0.999924701839144500f, 0.012271538285719925f, |
| 0.999904701082852900f, 0.013805388528060391f, 0.999882347454212560f, 0.015339206284988100f, 0.999857641005823860f, 0.016872987947281710f, |
| 0.999830581795823400f, 0.018406729905804820f, 0.999801169887884260f, 0.019940428551514441f, 0.999769405351215280f, 0.021474080275469508f, |
| 0.999735288260561680f, 0.023007681468839369f, 0.999698818696204250f, 0.024541228522912288f, 0.999659996743959220f, 0.026074717829103901f, |
| 0.999618822495178640f, 0.027608145778965740f, 0.999575296046749220f, 0.029141508764193722f, 0.999529417501093140f, 0.030674803176636626f, |
| 0.999481186966166950f, 0.032208025408304586f, 0.999430604555461730f, 0.033741171851377580f, 0.999377670388002850f, 0.035274238898213947f, |
| 0.999322384588349540f, 0.036807222941358832f, 0.999264747286594420f, 0.038340120373552694f, 0.999204758618363890f, 0.039872927587739811f, |
| 0.999142418724816910f, 0.041405640977076739f, 0.999077727752645360f, 0.042938256934940820f, 0.999010685854073380f, 0.044470771854938668f, |
| 0.998941293186856870f, 0.046003182130914623f, 0.998869549914283560f, 0.047535484156959303f, 0.998795456205172410f, 0.049067674327418015f, |
| 0.998719012233872940f, 0.050599749036899282f, 0.998640218180265270f, 0.052131704680283324f, 0.998559074229759310f, 0.053663537652730520f, |
| 0.998475580573294770f, 0.055195244349689934f, 0.998389737407340160f, 0.056726821166907748f, 0.998301544933892890f, 0.058258264500435752f, |
| 0.998211003360478190f, 0.059789570746639868f, 0.998118112900149180f, 0.061320736302208578f, 0.998022873771486240f, 0.062851757564161406f, |
| 0.997925286198596000f, 0.064382630929857465f, 0.997825350411111640f, 0.065913352797003805f, 0.997723066644191640f, 0.067443919563664051f, |
| 0.997618435138519550f, 0.068974327628266746f, 0.997511456140303450f, 0.070504573389613856f, 0.997402129901275300f, 0.072034653246889332f, |
| 0.997290456678690210f, 0.073564563599667426f, 0.997176436735326190f, 0.075094300847921305f, 0.997060070339482960f, 0.076623861392031492f, |
| 0.996941357764982160f, 0.078153241632794232f, 0.996820299291165670f, 0.079682437971430126f, 0.996696895202896060f, 0.081211446809592441f, |
| 0.996571145790554840f, 0.082740264549375692f, 0.996443051350042630f, 0.084268887593324071f, 0.996312612182778000f, 0.085797312344439894f, |
| 0.996179828595696980f, 0.087325535206192059f, 0.996044700901251970f, 0.088853552582524600f, 0.995907229417411720f, 0.090381360877864983f, |
| 0.995767414467659820f, 0.091908956497132724f, 0.995625256380994310f, 0.093436335845747787f, 0.995480755491926940f, 0.094963495329638992f, |
| 0.995333912140482280f, 0.096490431355252593f, 0.995184726672196930f, 0.098017140329560604f, 0.995033199438118630f, 0.099543618660069319f, |
| 0.994879330794805620f, 0.101069862754827820f, 0.994723121104325700f, 0.102595869022436280f, 0.994564570734255420f, 0.104121633872054590f, |
| 0.994403680057679100f, 0.105647153713410620f, 0.994240449453187900f, 0.107172424956808840f, 0.994074879304879370f, 0.108697444013138720f, |
| 0.993906970002356060f, 0.110222207293883060f, 0.993736721940724600f, 0.111746711211126590f, 0.993564135520595300f, 0.113270952177564350f, |
| 0.993389211148080650f, 0.114794926606510080f, 0.993211949234794500f, 0.116318630911904750f, 0.993032350197851410f, 0.117842061508324980f, |
| 0.992850414459865100f, 0.119365214810991350f, 0.992666142448948020f, 0.120888087235777080f, 0.992479534598709970f, 0.122410675199216200f, |
| 0.992290591348257370f, 0.123932975118512160f, 0.992099313142191800f, 0.125454983411546230f, 0.991905700430609330f, 0.126976696496885870f, |
| 0.991709753669099530f, 0.128498110793793170f, 0.991511473318743900f, 0.130019222722233350f, 0.991310859846115440f, 0.131540028702883120f, |
| 0.991107913723276890f, 0.133060525157139060f, 0.990902635427780010f, 0.134580708507126170f, 0.990695025442664630f, 0.136100575175706200f, |
| 0.990485084256457090f, 0.137620121586486040f, 0.990272812363169110f, 0.139139344163826200f, 0.990058210262297120f, 0.140658239332849210f, |
| 0.989841278458820530f, 0.142176803519448030f, 0.989622017463200890f, 0.143695033150294470f, 0.989400427791380380f, 0.145212924652847460f, |
| 0.989176509964781010f, 0.146730474455361750f, 0.988950264510302990f, 0.148247678986896030f, 0.988721691960323780f, 0.149764534677321510f, |
| 0.988490792852696590f, 0.151281037957330220f, 0.988257567730749460f, 0.152797185258443440f, 0.988022017143283530f, 0.154312973013020100f, |
| 0.987784141644572180f, 0.155828397654265230f, 0.987543941794359230f, 0.157343455616238250f, 0.987301418157858430f, 0.158858143333861450f, |
| 0.987056571305750970f, 0.160372457242928280f, 0.986809401814185530f, 0.161886393780111830f, 0.986559910264775410f, 0.163399949382973230f, |
| 0.986308097244598670f, 0.164913120489969890f, 0.986053963346195440f, 0.166425903540464100f, 0.985797509167567480f, 0.167938294974731170f, |
| 0.985538735312176060f, 0.169450291233967960f, 0.985277642388941220f, 0.170961888760301220f, 0.985014231012239840f, 0.172473083996795950f, |
| 0.984748501801904210f, 0.173983873387463820f, 0.984480455383220930f, 0.175494253377271430f, 0.984210092386929030f, 0.177004220412148750f, |
| 0.983937413449218920f, 0.178513770938997510f, 0.983662419211730250f, 0.180022901405699510f, 0.983385110321551180f, 0.181531608261124970f, |
| 0.983105487431216290f, 0.183039887955140950f, 0.982823551198705240f, 0.184547736938619620f, 0.982539302287441240f, 0.186055151663446630f, |
| 0.982252741366289370f, 0.187562128582529600f, 0.981963869109555240f, 0.189068664149806190f, 0.981672686196983110f, 0.190574754820252740f, |
| 0.981379193313754560f, 0.192080397049892440f, 0.981083391150486710f, 0.193585587295803610f, 0.980785280403230430f, 0.195090322016128250f, |
| 0.980484861773469380f, 0.196594597670080220f, 0.980182135968117430f, 0.198098410717953560f, 0.979877103699517640f, 0.199601757621130970f, |
| 0.979569765685440520f, 0.201104634842091900f, 0.979260122649082020f, 0.202607038844421130f, 0.978948175319062200f, 0.204108966092816870f, |
| 0.978633924429423210f, 0.205610413053099240f, 0.978317370719627650f, 0.207111376192218560f, 0.977998514934557140f, 0.208611851978263490f, |
| 0.977677357824509930f, 0.210111836880469610f, 0.977353900145199960f, 0.211611327369227550f, 0.977028142657754390f, 0.213110319916091360f, |
| 0.976700086128711840f, 0.214608810993786760f, 0.976369731330021140f, 0.216106797076219520f, 0.976037079039039020f, 0.217604274638483640f, |
| 0.975702130038528570f, 0.219101240156869800f, 0.975364885116656980f, 0.220597690108873510f, 0.975025345066994120f, 0.222093620973203510f, |
| 0.974683510688510670f, 0.223589029229789990f, 0.974339382785575860f, 0.225083911359792830f, 0.973992962167955830f, 0.226578263845610000f, |
| 0.973644249650811980f, 0.228072083170885730f, 0.973293246054698250f, 0.229565365820518870f, 0.972939952205560180f, 0.231058108280671110f, |
| 0.972584368934732210f, 0.232550307038775240f, 0.972226497078936270f, 0.234041958583543430f, 0.971866337480279400f, 0.235533059404975490f, |
| 0.971503890986251780f, 0.237023605994367200f, 0.971139158449725090f, 0.238513594844318420f, 0.970772140728950350f, 0.240003022448741500f, |
| 0.970402838687555500f, 0.241491885302869330f, 0.970031253194543970f, 0.242980179903263870f, 0.969657385124292450f, 0.244467902747824150f, |
| 0.969281235356548530f, 0.245955050335794590f, 0.968902804776428870f, 0.247441619167773270f, 0.968522094274417380f, 0.248927605745720150f, |
| 0.968139104746362440f, 0.250413006572965220f, 0.967753837093475510f, 0.251897818154216970f, 0.967366292222328510f, 0.253382036995570160f, |
| 0.966976471044852070f, 0.254865659604514570f, 0.966584374478333120f, 0.256348682489942910f, 0.966190003445412500f, 0.257831102162158990f, |
| 0.965793358874083680f, 0.259312915132886230f, 0.965394441697689400f, 0.260794117915275510f, 0.964993252854920320f, 0.262274707023913590f, |
| 0.964589793289812760f, 0.263754678974831350f, 0.964184063951745830f, 0.265234030285511790f, 0.963776065795439840f, 0.266712757474898370f, |
| 0.963365799780954050f, 0.268190857063403180f, 0.962953266873683880f, 0.269668325572915090f, 0.962538468044359160f, 0.271145159526808010f, |
| 0.962121404269041580f, 0.272621355449948980f, 0.961702076529122540f, 0.274096909868706380f, 0.961280485811320640f, 0.275571819310958140f, |
| 0.960856633107679660f, 0.277046080306099900f, 0.960430519415565790f, 0.278519689385053060f, 0.960002145737665960f, 0.279992643080273220f, |
| 0.959571513081984520f, 0.281464937925757940f, 0.959138622461841890f, 0.282936570457055390f, 0.958703474895871600f, 0.284407537211271880f, |
| 0.958266071408017670f, 0.285877834727080620f, 0.957826413027532910f, 0.287347459544729510f, 0.957384500788975860f, 0.288816408206049480f, |
| 0.956940335732208820f, 0.290284677254462330f, 0.956493918902395100f, 0.291752263234989260f, 0.956045251349996410f, 0.293219162694258630f, |
| 0.955594334130771110f, 0.294685372180514330f, 0.955141168305770780f, 0.296150888243623790f, 0.954685754941338340f, 0.297615707435086200f, |
| 0.954228095109105670f, 0.299079826308040480f, 0.953768189885990330f, 0.300543241417273450f, 0.953306040354193860f, 0.302005949319228080f, |
| 0.952841647601198720f, 0.303467946572011320f, 0.952375012719765880f, 0.304929229735402370f, 0.951906136807932350f, 0.306389795370860920f, |
| 0.951435020969008340f, 0.307849640041534870f, 0.950961666311575080f, 0.309308760312268730f, 0.950486073949481700f, 0.310767152749611470f, |
| 0.950008245001843000f, 0.312224813921824880f, 0.949528180593036670f, 0.313681740398891520f, 0.949045881852700560f, 0.315137928752522440f, |
| 0.948561349915730270f, 0.316593375556165850f, 0.948074585922276230f, 0.318048077385014950f, 0.947585591017741090f, 0.319502030816015690f, |
| 0.947094366352777220f, 0.320955232427875210f, 0.946600913083283530f, 0.322407678801069850f, 0.946105232370403450f, 0.323859366517852850f, |
| 0.945607325380521280f, 0.325310292162262930f, 0.945107193285260610f, 0.326760452320131730f, 0.944604837261480260f, 0.328209843579092500f, |
| 0.944100258491272660f, 0.329658462528587490f, 0.943593458161960390f, 0.331106305759876430f, 0.943084437466093490f, 0.332553369866044220f, |
| 0.942573197601446870f, 0.333999651442009380f, 0.942059739771017310f, 0.335445147084531600f, 0.941544065183020810f, 0.336889853392220050f, |
| 0.941026175050889260f, 0.338333766965541130f, 0.940506070593268300f, 0.339776884406826850f, 0.939983753034014050f, 0.341219202320282360f, |
| 0.939459223602189920f, 0.342660717311994380f, 0.938932483532064600f, 0.344101425989938810f, 0.938403534063108060f, 0.345541324963989090f, |
| 0.937872376439989890f, 0.346980410845923680f, 0.937339011912574960f, 0.348418680249434560f, 0.936803441735921560f, 0.349856129790134920f, |
| 0.936265667170278260f, 0.351292756085567090f, 0.935725689481080370f, 0.352728555755210730f, 0.935183509938947610f, 0.354163525420490340f, |
| 0.934639129819680780f, 0.355597661704783850f, 0.934092550404258980f, 0.357030961233429980f, 0.933543772978836170f, 0.358463420633736540f, |
| 0.932992798834738960f, 0.359895036534988110f, 0.932439629268462360f, 0.361325805568454280f, 0.931884265581668150f, 0.362755724367397230f, |
| 0.931326709081180430f, 0.364184789567079890f, 0.930766961078983710f, 0.365612997804773850f, 0.930205022892219070f, 0.367040345719767180f, |
| 0.929640895843181330f, 0.368466829953372320f, 0.929074581259315860f, 0.369892447148934100f, 0.928506080473215590f, 0.371317193951837540f, |
| 0.927935394822617890f, 0.372741067009515760f, 0.927362525650401110f, 0.374164062971457930f, 0.926787474304581750f, 0.375586178489217220f, |
| 0.926210242138311380f, 0.377007410216418260f, 0.925630830509872720f, 0.378427754808765560f, 0.925049240782677580f, 0.379847208924051160f, |
| 0.924465474325262600f, 0.381265769222162380f, 0.923879532511286740f, 0.382683432365089780f, 0.923291416719527640f, 0.384100195016935040f, |
| 0.922701128333878630f, 0.385516053843918850f, 0.922108668743345180f, 0.386931005514388580f, 0.921514039342042010f, 0.388345046698826250f, |
| 0.920917241529189520f, 0.389758174069856410f, 0.920318276709110590f, 0.391170384302253870f, 0.919717146291227360f, 0.392581674072951470f, |
| 0.919113851690057770f, 0.393992040061048100f, 0.918508394325212250f, 0.395401478947816350f, 0.917900775621390500f, 0.396809987416710310f, |
| 0.917290997008377910f, 0.398217562153373560f, 0.916679059921042700f, 0.399624199845646790f, 0.916064965799331720f, 0.401029897183575620f, |
| 0.915448716088267830f, 0.402434650859418430f, 0.914830312237946200f, 0.403838457567654070f, 0.914209755703530690f, 0.405241314004989860f, |
| 0.913587047945250810f, 0.406643216870369030f, 0.912962190428398210f, 0.408044162864978690f, 0.912335184623322750f, 0.409444148692257590f, |
| 0.911706032005429880f, 0.410843171057903910f, 0.911074734055176360f, 0.412241226669882890f, 0.910441292258067250f, 0.413638312238434500f, |
| 0.909805708104652220f, 0.415034424476081630f, 0.909167983090522380f, 0.416429560097637150f, 0.908528118716306120f, 0.417823715820212270f, |
| 0.907886116487666260f, 0.419216888363223910f, 0.907241977915295820f, 0.420609074448402510f, 0.906595704514915330f, 0.422000270799799680f, |
| 0.905947297807268460f, 0.423390474143796050f, 0.905296759318118820f, 0.424779681209108810f, 0.904644090578246240f, 0.426167888726799620f, |
| 0.903989293123443340f, 0.427555093430282080f, 0.903332368494511820f, 0.428941292055329490f, 0.902673318237258830f, 0.430326481340082610f, |
| 0.902012143902493180f, 0.431710658025057260f, 0.901348847046022030f, 0.433093818853151960f, 0.900683429228646970f, 0.434475960569655650f, |
| 0.900015892016160280f, 0.435857079922255470f, 0.899346236979341570f, 0.437237173661044090f, 0.898674465693953820f, 0.438616238538527660f, |
| 0.898000579740739880f, 0.439994271309633260f, 0.897324580705418320f, 0.441371268731716670f, 0.896646470178680150f, 0.442747227564570020f, |
| 0.895966249756185220f, 0.444122144570429200f, 0.895283921038557580f, 0.445496016513981740f, 0.894599485631382700f, 0.446868840162374160f, |
| 0.893912945145203250f, 0.448240612285219890f, 0.893224301195515320f, 0.449611329654606540f, 0.892533555402764580f, 0.450980989045103860f, |
| 0.891840709392342720f, 0.452349587233770890f, 0.891145764794583180f, 0.453717121000163870f, 0.890448723244757880f, 0.455083587126343840f, |
| 0.889749586383072780f, 0.456448982396883920f, 0.889048355854664570f, 0.457813303598877170f, 0.888345033309596350f, 0.459176547521944090f, |
| 0.887639620402853930f, 0.460538710958240010f, 0.886932118794342190f, 0.461899790702462730f, 0.886222530148880640f, 0.463259783551860150f, |
| 0.885510856136199950f, 0.464618686306237820f, 0.884797098430937790f, 0.465976495767966180f, 0.884081258712634990f, 0.467333208741988420f, |
| 0.883363338665731580f, 0.468688822035827900f, 0.882643339979562790f, 0.470043332459595620f, 0.881921264348355050f, 0.471396736825997640f, |
| 0.881197113471222090f, 0.472749031950342790f, 0.880470889052160750f, 0.474100214650549970f, 0.879742592800047410f, 0.475450281747155870f, |
| 0.879012226428633530f, 0.476799230063322090f, 0.878279791656541580f, 0.478147056424843010f, 0.877545290207261350f, 0.479493757660153010f, |
| 0.876808723809145650f, 0.480839330600333960f, 0.876070094195406600f, 0.482183772079122720f, 0.875329403104110890f, 0.483527078932918740f, |
| 0.874586652278176110f, 0.484869248000791060f, 0.873841843465366860f, 0.486210276124486420f, 0.873094978418290090f, 0.487550160148436000f, |
| 0.872346058894391540f, 0.488888896919763170f, 0.871595086655950980f, 0.490226483288291160f, 0.870842063470078980f, 0.491562916106549900f, |
| 0.870086991108711460f, 0.492898192229784040f, 0.869329871348606840f, 0.494232308515959670f, 0.868570705971340900f, 0.495565261825772540f, |
| 0.867809496763303320f, 0.496897049022654470f, 0.867046245515692650f, 0.498227666972781870f, 0.866280954024512990f, 0.499557112545081840f, |
| 0.865513624090569090f, 0.500885382611240710f, 0.864744257519462380f, 0.502212474045710790f, 0.863972856121586810f, 0.503538383725717580f, |
| 0.863199421712124160f, 0.504863108531267590f, 0.862423956111040610f, 0.506186645345155230f, 0.861646461143081300f, 0.507508991052970870f, |
| 0.860866938637767310f, 0.508830142543106990f, 0.860085390429390140f, 0.510150096706766810f, 0.859301818357008470f, 0.511468850437970300f, |
| 0.858516224264442740f, 0.512786400633562960f, 0.857728610000272120f, 0.514102744193221660f, 0.856938977417828760f, 0.515417878019462930f, |
| 0.856147328375194470f, 0.516731799017649870f, 0.855353664735196030f, 0.518044504095999340f, 0.854557988365400530f, 0.519355990165589640f, |
| 0.853760301138111410f, 0.520666254140367160f, 0.852960604930363630f, 0.521975292937154390f, 0.852158901623919830f, 0.523283103475656430f, |
| 0.851355193105265200f, 0.524589682678468950f, 0.850549481265603480f, 0.525895027471084630f, 0.849741768000852550f, 0.527199134781901280f, |
| 0.848932055211639610f, 0.528502001542228480f, 0.848120344803297230f, 0.529803624686294610f, 0.847306638685858320f, 0.531104001151255000f, |
| 0.846490938774052130f, 0.532403127877197900f, 0.845673246987299070f, 0.533701001807152960f, 0.844853565249707120f, 0.534997619887097150f, |
| 0.844031895490066410f, 0.536292979065963180f, 0.843208239641845440f, 0.537587076295645390f, 0.842382599643185850f, 0.538879908531008420f, |
| 0.841554977436898440f, 0.540171472729892850f, 0.840725374970458070f, 0.541461765853123440f, 0.839893794195999520f, 0.542750784864515890f, |
| 0.839060237070312740f, 0.544038526730883820f, 0.838224705554838080f, 0.545324988422046460f, 0.837387201615661940f, 0.546610166910834860f, |
| 0.836547727223512010f, 0.547894059173100190f, 0.835706284353752600f, 0.549176662187719660f, 0.834862874986380010f, 0.550457972936604810f, |
| 0.834017501106018130f, 0.551737988404707340f, 0.833170164701913190f, 0.553016705580027470f, 0.832320867767929680f, 0.554294121453620000f, |
| 0.831469612302545240f, 0.555570233019602180f, 0.830616400308846310f, 0.556845037275160100f, 0.829761233794523050f, 0.558118531220556100f, |
| 0.828904114771864870f, 0.559390711859136140f, 0.828045045257755800f, 0.560661576197336030f, 0.827184027273669130f, 0.561931121244689470f, |
| 0.826321062845663530f, 0.563199344013834090f, 0.825456154004377550f, 0.564466241520519500f, 0.824589302785025290f, 0.565731810783613120f, |
| 0.823720511227391430f, 0.566996048825108680f, 0.822849781375826430f, 0.568258952670131490f, 0.821977115279241550f, 0.569520519346947140f, |
| 0.821102514991104650f, 0.570780745886967260f, 0.820225982569434690f, 0.572039629324757050f, 0.819347520076796900f, 0.573297166698042200f, |
| 0.818467129580298660f, 0.574553355047715760f, 0.817584813151583710f, 0.575808191417845340f, 0.816700572866827850f, 0.577061672855679440f, |
| 0.815814410806733780f, 0.578313796411655590f, 0.814926329056526620f, 0.579564559139405630f, 0.814036329705948410f, 0.580813958095764530f, |
| 0.813144414849253590f, 0.582061990340775440f, 0.812250586585203880f, 0.583308652937698290f, 0.811354847017063730f, 0.584553942953015330f, |
| 0.810457198252594770f, 0.585797857456438860f, 0.809557642404051260f, 0.587040393520917970f, 0.808656181588174980f, 0.588281548222645220f, |
| 0.807752817926190360f, 0.589521318641063940f, 0.806847553543799330f, 0.590759701858874160f, 0.805940390571176280f, 0.591996694962040990f, |
| 0.805031331142963660f, 0.593232295039799800f, 0.804120377398265810f, 0.594466499184664430f, 0.803207531480644940f, 0.595699304492433360f, |
| 0.802292795538115720f, 0.596930708062196500f, 0.801376171723140240f, 0.598160706996342270f, 0.800457662192622820f, 0.599389298400564540f, |
| 0.799537269107905010f, 0.600616479383868970f, 0.798614994634760820f, 0.601842247058580030f, 0.797690840943391160f, 0.603066598540348160f, |
| 0.796764810208418830f, 0.604289530948155960f, 0.795836904608883570f, 0.605511041404325550f, 0.794907126328237010f, 0.606731127034524480f, |
| 0.793975477554337170f, 0.607949784967773630f, 0.793041960479443640f, 0.609167012336453210f, 0.792106577300212390f, 0.610382806276309480f, |
| 0.791169330217690200f, 0.611597163926461910f, 0.790230221437310030f, 0.612810082429409710f, 0.789289253168885650f, 0.614021558931038380f, |
| 0.788346427626606340f, 0.615231590580626820f, 0.787401747029031430f, 0.616440174530853650f, 0.786455213599085770f, 0.617647307937803870f, |
| 0.785506829564053930f, 0.618852987960976320f, 0.784556597155575240f, 0.620057211763289100f, 0.783604518609638200f, 0.621259976511087550f, |
| 0.782650596166575730f, 0.622461279374149970f, 0.781694832071059390f, 0.623661117525694530f, 0.780737228572094490f, 0.624859488142386340f, |
| 0.779777787923014550f, 0.626056388404343520f, 0.778816512381475980f, 0.627251815495144080f, 0.777853404209453150f, 0.628445766601832710f, |
| 0.776888465673232440f, 0.629638238914926980f, 0.775921699043407690f, 0.630829229628424470f, 0.774953106594873930f, 0.632018735939809060f, |
| 0.773982690606822900f, 0.633206755050057190f, 0.773010453362736990f, 0.634393284163645490f, 0.772036397150384520f, 0.635578320488556110f, |
| 0.771060524261813820f, 0.636761861236284200f, 0.770082836993347900f, 0.637943903621844060f, 0.769103337645579700f, 0.639124444863775730f, |
| 0.768122028523365420f, 0.640303482184151670f, 0.767138911935820400f, 0.641481012808583160f, 0.766153990196312920f, 0.642657033966226860f, |
| 0.765167265622458960f, 0.643831542889791390f, 0.764178740536116670f, 0.645004536815543930f, 0.763188417263381270f, 0.646176012983316280f, |
| 0.762196298134578900f, 0.647345968636512060f, 0.761202385484261780f, 0.648514401022112440f, 0.760206681651202420f, 0.649681307390683190f, |
| 0.759209188978388070f, 0.650846684996380880f, 0.758209909813015280f, 0.652010531096959500f, 0.757208846506484570f, 0.653172842953776760f, |
| 0.756206001414394540f, 0.654333617831800440f, 0.755201376896536550f, 0.655492852999615350f, 0.754194975316889170f, 0.656650545729428940f, |
| 0.753186799043612520f, 0.657806693297078640f, 0.752176850449042810f, 0.658961292982037320f, 0.751165131909686480f, 0.660114342067420480f, |
| 0.750151645806215070f, 0.661265837839992270f, 0.749136394523459370f, 0.662415777590171780f, 0.748119380450403600f, 0.663564158612039770f, |
| 0.747100605980180130f, 0.664710978203344790f, 0.746080073510063780f, 0.665856233665509720f, 0.745057785441466060f, 0.666999922303637470f, |
| 0.744033744179929290f, 0.668142041426518450f, 0.743007952135121720f, 0.669282588346636010f, 0.741980411720831070f, 0.670421560380173090f, |
| 0.740951125354959110f, 0.671558954847018330f, 0.739920095459516200f, 0.672694769070772860f, 0.738887324460615110f, 0.673829000378756040f, |
| 0.737852814788465980f, 0.674961646102011930f, 0.736816568877369900f, 0.676092703575315920f, 0.735778589165713590f, 0.677222170137180330f, |
| 0.734738878095963500f, 0.678350043129861470f, 0.733697438114660370f, 0.679476319899364970f, 0.732654271672412820f, 0.680600997795453020f, |
| 0.731609381223892630f, 0.681724074171649710f, 0.730562769227827590f, 0.682845546385248080f, 0.729514438146997010f, 0.683965411797315400f, |
| 0.728464390448225200f, 0.685083667772700360f, 0.727412628602375770f, 0.686200311680038590f, 0.726359155084346010f, 0.687315340891759050f, |
| 0.725303972373060770f, 0.688428752784090440f, 0.724247082951467000f, 0.689540544737066830f, 0.723188489306527460f, 0.690650714134534600f, |
| 0.722128193929215350f, 0.691759258364157750f, 0.721066199314508110f, 0.692866174817424630f, 0.720002507961381650f, 0.693971460889654000f, |
| 0.718937122372804490f, 0.695075113980000880f, 0.717870045055731710f, 0.696177131491462990f, 0.716801278521099540f, 0.697277510830886520f, |
| 0.715730825283818590f, 0.698376249408972920f, 0.714658687862769090f, 0.699473344640283770f, 0.713584868780793640f, 0.700568793943248340f, |
| 0.712509370564692320f, 0.701662594740168450f, 0.711432195745216430f, 0.702754744457225300f, 0.710353346857062420f, 0.703845240524484940f, |
| 0.709272826438865690f, 0.704934080375904880f, 0.708190637033195400f, 0.706021261449339740f, 0.707106781186547570f, 0.707106781186547460f, |
| 0.706021261449339740f, 0.708190637033195290f, 0.704934080375904990f, 0.709272826438865580f, 0.703845240524484940f, 0.710353346857062310f, |
| 0.702754744457225300f, 0.711432195745216430f, 0.701662594740168570f, 0.712509370564692320f, 0.700568793943248450f, 0.713584868780793520f, |
| 0.699473344640283770f, 0.714658687862768980f, 0.698376249408972920f, 0.715730825283818590f, 0.697277510830886630f, 0.716801278521099540f, |
| 0.696177131491462990f, 0.717870045055731710f, 0.695075113980000880f, 0.718937122372804380f, 0.693971460889654000f, 0.720002507961381650f, |
| 0.692866174817424740f, 0.721066199314508110f, 0.691759258364157750f, 0.722128193929215350f, 0.690650714134534720f, 0.723188489306527350f, |
| 0.689540544737066940f, 0.724247082951466890f, 0.688428752784090550f, 0.725303972373060660f, 0.687315340891759160f, 0.726359155084346010f, |
| 0.686200311680038700f, 0.727412628602375770f, 0.685083667772700360f, 0.728464390448225200f, 0.683965411797315510f, 0.729514438146996900f, |
| 0.682845546385248080f, 0.730562769227827590f, 0.681724074171649820f, 0.731609381223892520f, 0.680600997795453130f, 0.732654271672412820f, |
| 0.679476319899365080f, 0.733697438114660260f, 0.678350043129861580f, 0.734738878095963390f, 0.677222170137180450f, 0.735778589165713480f, |
| 0.676092703575316030f, 0.736816568877369790f, 0.674961646102012040f, 0.737852814788465980f, 0.673829000378756150f, 0.738887324460615110f, |
| 0.672694769070772970f, 0.739920095459516090f, 0.671558954847018330f, 0.740951125354959110f, 0.670421560380173090f, 0.741980411720830960f, |
| 0.669282588346636010f, 0.743007952135121720f, 0.668142041426518560f, 0.744033744179929180f, 0.666999922303637470f, 0.745057785441465950f, |
| 0.665856233665509720f, 0.746080073510063780f, 0.664710978203344900f, 0.747100605980180130f, 0.663564158612039880f, 0.748119380450403490f, |
| 0.662415777590171780f, 0.749136394523459260f, 0.661265837839992270f, 0.750151645806214960f, 0.660114342067420480f, 0.751165131909686370f, |
| 0.658961292982037320f, 0.752176850449042700f, 0.657806693297078640f, 0.753186799043612410f, 0.656650545729429050f, 0.754194975316889170f, |
| 0.655492852999615460f, 0.755201376896536550f, 0.654333617831800550f, 0.756206001414394540f, 0.653172842953776760f, 0.757208846506484460f, |
| 0.652010531096959500f, 0.758209909813015280f, 0.650846684996380990f, 0.759209188978387960f, 0.649681307390683190f, 0.760206681651202420f, |
| 0.648514401022112550f, 0.761202385484261780f, 0.647345968636512060f, 0.762196298134578900f, 0.646176012983316390f, 0.763188417263381270f, |
| 0.645004536815544040f, 0.764178740536116670f, 0.643831542889791500f, 0.765167265622458960f, 0.642657033966226860f, 0.766153990196312810f, |
| 0.641481012808583160f, 0.767138911935820400f, 0.640303482184151670f, 0.768122028523365310f, 0.639124444863775730f, 0.769103337645579590f, |
| 0.637943903621844170f, 0.770082836993347900f, 0.636761861236284200f, 0.771060524261813710f, 0.635578320488556230f, 0.772036397150384410f, |
| 0.634393284163645490f, 0.773010453362736990f, 0.633206755050057190f, 0.773982690606822790f, 0.632018735939809060f, 0.774953106594873820f, |
| 0.630829229628424470f, 0.775921699043407580f, 0.629638238914927100f, 0.776888465673232440f, 0.628445766601832710f, 0.777853404209453040f, |
| 0.627251815495144190f, 0.778816512381475870f, 0.626056388404343520f, 0.779777787923014440f, 0.624859488142386450f, 0.780737228572094380f, |
| 0.623661117525694640f, 0.781694832071059390f, 0.622461279374150080f, 0.782650596166575730f, 0.621259976511087660f, 0.783604518609638200f, |
| 0.620057211763289210f, 0.784556597155575240f, 0.618852987960976320f, 0.785506829564053930f, 0.617647307937803980f, 0.786455213599085770f, |
| 0.616440174530853650f, 0.787401747029031320f, 0.615231590580626820f, 0.788346427626606230f, 0.614021558931038490f, 0.789289253168885650f, |
| 0.612810082429409710f, 0.790230221437310030f, 0.611597163926462020f, 0.791169330217690090f, 0.610382806276309480f, 0.792106577300212390f, |
| 0.609167012336453210f, 0.793041960479443640f, 0.607949784967773740f, 0.793975477554337170f, 0.606731127034524480f, 0.794907126328237010f, |
| 0.605511041404325550f, 0.795836904608883460f, 0.604289530948156070f, 0.796764810208418720f, 0.603066598540348280f, 0.797690840943391040f, |
| 0.601842247058580030f, 0.798614994634760820f, 0.600616479383868970f, 0.799537269107905010f, 0.599389298400564540f, 0.800457662192622710f, |
| 0.598160706996342380f, 0.801376171723140130f, 0.596930708062196500f, 0.802292795538115720f, 0.595699304492433470f, 0.803207531480644830f, |
| 0.594466499184664540f, 0.804120377398265700f, 0.593232295039799800f, 0.805031331142963660f, 0.591996694962040990f, 0.805940390571176280f, |
| 0.590759701858874280f, 0.806847553543799220f, 0.589521318641063940f, 0.807752817926190360f, 0.588281548222645330f, 0.808656181588174980f, |
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| 0.583308652937698290f, 0.812250586585203880f, 0.582061990340775550f, 0.813144414849253590f, 0.580813958095764530f, 0.814036329705948300f, |
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| 0.575808191417845340f, 0.817584813151583710f, 0.574553355047715760f, 0.818467129580298660f, 0.573297166698042320f, 0.819347520076796900f, |
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| 0.568258952670131490f, 0.822849781375826320f, 0.566996048825108680f, 0.823720511227391320f, 0.565731810783613230f, 0.824589302785025290f, |
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| 0.514102744193221660f, 0.857728610000272120f, 0.512786400633563070f, 0.858516224264442740f, 0.511468850437970520f, 0.859301818357008360f, |
| 0.510150096706766700f, 0.860085390429390140f, 0.508830142543106990f, 0.860866938637767310f, 0.507508991052970870f, 0.861646461143081300f, |
| 0.506186645345155450f, 0.862423956111040500f, 0.504863108531267480f, 0.863199421712124160f, 0.503538383725717580f, 0.863972856121586700f, |
| 0.502212474045710900f, 0.864744257519462380f, 0.500885382611240940f, 0.865513624090568980f, 0.499557112545081890f, 0.866280954024512990f, |
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| 0.494232308515959730f, 0.869329871348606730f, 0.492898192229784090f, 0.870086991108711350f, 0.491562916106550060f, 0.870842063470078860f, |
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| 0.486210276124486530f, 0.873841843465366750f, 0.484869248000791120f, 0.874586652278176110f, 0.483527078932918740f, 0.875329403104110780f, |
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| 0.478147056424843120f, 0.878279791656541460f, 0.476799230063322250f, 0.879012226428633410f, 0.475450281747155870f, 0.879742592800047410f, |
| 0.474100214650550020f, 0.880470889052160750f, 0.472749031950342900f, 0.881197113471221980f, 0.471396736825997810f, 0.881921264348354940f, |
| 0.470043332459595620f, 0.882643339979562790f, 0.468688822035827960f, 0.883363338665731580f, 0.467333208741988530f, 0.884081258712634990f, |
| 0.465976495767966130f, 0.884797098430937790f, 0.464618686306237820f, 0.885510856136199950f, 0.463259783551860260f, 0.886222530148880640f, |
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| 0.449611329654606600f, 0.893224301195515320f, 0.448240612285220000f, 0.893912945145203250f, 0.446868840162374330f, 0.894599485631382580f, |
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| 0.428941292055329550f, 0.903332368494511820f, 0.427555093430282200f, 0.903989293123443340f, 0.426167888726799620f, 0.904644090578246240f, |
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| 0.420609074448402510f, 0.907241977915295930f, 0.419216888363223960f, 0.907886116487666150f, 0.417823715820212380f, 0.908528118716306120f, |
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| 0.369892447148934270f, 0.929074581259315750f, 0.368466829953372320f, 0.929640895843181330f, 0.367040345719767240f, 0.930205022892219070f, |
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| 0.352728555755210730f, 0.935725689481080370f, 0.351292756085567150f, 0.936265667170278260f, 0.349856129790135030f, 0.936803441735921560f, |
| 0.348418680249434510f, 0.937339011912574960f, 0.346980410845923680f, 0.937872376439989890f, 0.345541324963989150f, 0.938403534063108060f, |
| 0.344101425989938980f, 0.938932483532064490f, 0.342660717311994380f, 0.939459223602189920f, 0.341219202320282410f, 0.939983753034013940f, |
| 0.339776884406826960f, 0.940506070593268300f, 0.338333766965541290f, 0.941026175050889260f, 0.336889853392220050f, 0.941544065183020810f, |
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| 0.331106305759876430f, 0.943593458161960390f, 0.329658462528587550f, 0.944100258491272660f, 0.328209843579092660f, 0.944604837261480260f, |
| 0.326760452320131790f, 0.945107193285260610f, 0.325310292162262980f, 0.945607325380521280f, 0.323859366517852960f, 0.946105232370403340f, |
| 0.322407678801070020f, 0.946600913083283530f, 0.320955232427875210f, 0.947094366352777220f, 0.319502030816015750f, 0.947585591017741090f, |
| 0.318048077385015060f, 0.948074585922276230f, 0.316593375556165850f, 0.948561349915730270f, 0.315137928752522440f, 0.949045881852700560f, |
| 0.313681740398891570f, 0.949528180593036670f, 0.312224813921825050f, 0.950008245001843000f, 0.310767152749611470f, 0.950486073949481700f, |
| 0.309308760312268780f, 0.950961666311575080f, 0.307849640041534980f, 0.951435020969008340f, 0.306389795370861080f, 0.951906136807932230f, |
| 0.304929229735402430f, 0.952375012719765880f, 0.303467946572011370f, 0.952841647601198720f, 0.302005949319228200f, 0.953306040354193750f, |
| 0.300543241417273400f, 0.953768189885990330f, 0.299079826308040480f, 0.954228095109105670f, 0.297615707435086310f, 0.954685754941338340f, |
| 0.296150888243623960f, 0.955141168305770670f, 0.294685372180514330f, 0.955594334130771110f, 0.293219162694258680f, 0.956045251349996410f, |
| 0.291752263234989370f, 0.956493918902394990f, 0.290284677254462330f, 0.956940335732208940f, 0.288816408206049480f, 0.957384500788975860f, |
| 0.287347459544729570f, 0.957826413027532910f, 0.285877834727080730f, 0.958266071408017670f, 0.284407537211271820f, 0.958703474895871600f, |
| 0.282936570457055390f, 0.959138622461841890f, 0.281464937925758050f, 0.959571513081984520f, 0.279992643080273380f, 0.960002145737665850f, |
| 0.278519689385053060f, 0.960430519415565790f, 0.277046080306099950f, 0.960856633107679660f, 0.275571819310958250f, 0.961280485811320640f, |
| 0.274096909868706330f, 0.961702076529122540f, 0.272621355449948980f, 0.962121404269041580f, 0.271145159526808070f, 0.962538468044359160f, |
| 0.269668325572915200f, 0.962953266873683880f, 0.268190857063403180f, 0.963365799780954050f, 0.266712757474898420f, 0.963776065795439840f, |
| 0.265234030285511900f, 0.964184063951745720f, 0.263754678974831510f, 0.964589793289812650f, 0.262274707023913590f, 0.964993252854920320f, |
| 0.260794117915275570f, 0.965394441697689400f, 0.259312915132886350f, 0.965793358874083570f, 0.257831102162158930f, 0.966190003445412620f, |
| 0.256348682489942910f, 0.966584374478333120f, 0.254865659604514630f, 0.966976471044852070f, 0.253382036995570270f, 0.967366292222328510f, |
| 0.251897818154216910f, 0.967753837093475510f, 0.250413006572965280f, 0.968139104746362330f, 0.248927605745720260f, 0.968522094274417270f, |
| 0.247441619167773440f, 0.968902804776428870f, 0.245955050335794590f, 0.969281235356548530f, 0.244467902747824210f, 0.969657385124292450f, |
| 0.242980179903263980f, 0.970031253194543970f, 0.241491885302869300f, 0.970402838687555500f, 0.240003022448741500f, 0.970772140728950350f, |
| 0.238513594844318500f, 0.971139158449725090f, 0.237023605994367340f, 0.971503890986251780f, 0.235533059404975460f, 0.971866337480279400f, |
| 0.234041958583543460f, 0.972226497078936270f, 0.232550307038775330f, 0.972584368934732210f, 0.231058108280671280f, 0.972939952205560070f, |
| 0.229565365820518870f, 0.973293246054698250f, 0.228072083170885790f, 0.973644249650811870f, 0.226578263845610110f, 0.973992962167955830f, |
| 0.225083911359792780f, 0.974339382785575860f, 0.223589029229790020f, 0.974683510688510670f, 0.222093620973203590f, 0.975025345066994120f, |
| 0.220597690108873650f, 0.975364885116656870f, 0.219101240156869770f, 0.975702130038528570f, 0.217604274638483670f, 0.976037079039039020f, |
| 0.216106797076219600f, 0.976369731330021140f, 0.214608810993786920f, 0.976700086128711840f, 0.213110319916091360f, 0.977028142657754390f, |
| 0.211611327369227610f, 0.977353900145199960f, 0.210111836880469720f, 0.977677357824509930f, 0.208611851978263460f, 0.977998514934557140f, |
| 0.207111376192218560f, 0.978317370719627650f, 0.205610413053099320f, 0.978633924429423100f, 0.204108966092817010f, 0.978948175319062200f, |
| 0.202607038844421110f, 0.979260122649082020f, 0.201104634842091960f, 0.979569765685440520f, 0.199601757621131050f, 0.979877103699517640f, |
| 0.198098410717953730f, 0.980182135968117320f, 0.196594597670080220f, 0.980484861773469380f, 0.195090322016128330f, 0.980785280403230430f, |
| 0.193585587295803750f, 0.981083391150486590f, 0.192080397049892380f, 0.981379193313754560f, 0.190574754820252800f, 0.981672686196983110f, |
| 0.189068664149806280f, 0.981963869109555240f, 0.187562128582529740f, 0.982252741366289370f, 0.186055151663446630f, 0.982539302287441240f, |
| 0.184547736938619640f, 0.982823551198705240f, 0.183039887955141060f, 0.983105487431216290f, 0.181531608261125130f, 0.983385110321551180f, |
| 0.180022901405699510f, 0.983662419211730250f, 0.178513770938997590f, 0.983937413449218920f, 0.177004220412148860f, 0.984210092386929030f, |
| 0.175494253377271400f, 0.984480455383220930f, 0.173983873387463850f, 0.984748501801904210f, 0.172473083996796030f, 0.985014231012239840f, |
| 0.170961888760301360f, 0.985277642388941220f, 0.169450291233967930f, 0.985538735312176060f, 0.167938294974731230f, 0.985797509167567370f, |
| 0.166425903540464220f, 0.986053963346195440f, 0.164913120489970090f, 0.986308097244598670f, 0.163399949382973230f, 0.986559910264775410f, |
| 0.161886393780111910f, 0.986809401814185420f, 0.160372457242928400f, 0.987056571305750970f, 0.158858143333861390f, 0.987301418157858430f, |
| 0.157343455616238280f, 0.987543941794359230f, 0.155828397654265320f, 0.987784141644572180f, 0.154312973013020240f, 0.988022017143283530f, |
| 0.152797185258443410f, 0.988257567730749460f, 0.151281037957330250f, 0.988490792852696590f, 0.149764534677321620f, 0.988721691960323780f, |
| 0.148247678986896200f, 0.988950264510302990f, 0.146730474455361750f, 0.989176509964781010f, 0.145212924652847520f, 0.989400427791380380f, |
| 0.143695033150294580f, 0.989622017463200780f, 0.142176803519448000f, 0.989841278458820530f, 0.140658239332849240f, 0.990058210262297120f, |
| 0.139139344163826280f, 0.990272812363169110f, 0.137620121586486180f, 0.990485084256456980f, 0.136100575175706200f, 0.990695025442664630f, |
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| 0.986809401814185420f, -0.161886393780112300f, 0.987056571305750970f, -0.160372457242928560f, 0.987301418157858320f, -0.158858143333861580f, |
| 0.987543941794359230f, -0.157343455616238250f, 0.987784141644572180f, -0.155828397654265070f, 0.988022017143283530f, -0.154312973013020630f, |
| 0.988257567730749460f, -0.152797185258443800f, 0.988490792852696590f, -0.151281037957330440f, 0.988721691960323780f, -0.149764534677321590f, |
| 0.988950264510302990f, -0.148247678986895950f, 0.989176509964780900f, -0.146730474455362390f, 0.989400427791380270f, -0.145212924652847940f, |
| 0.989622017463200780f, -0.143695033150294750f, 0.989841278458820530f, -0.142176803519448200f, 0.990058210262297120f, -0.140658239332849210f, |
| 0.990272812363169110f, -0.139139344163826030f, 0.990485084256456980f, -0.137620121586486590f, 0.990695025442664630f, -0.136100575175706590f, |
| 0.990902635427780010f, -0.134580708507126420f, 0.991107913723276780f, -0.133060525157139120f, 0.991310859846115440f, -0.131540028702883010f, |
| 0.991511473318743900f, -0.130019222722233980f, 0.991709753669099410f, -0.128498110793793640f, 0.991905700430609330f, -0.126976696496886170f, |
| 0.992099313142191690f, -0.125454983411546370f, 0.992290591348257370f, -0.123932975118512160f, 0.992479534598709970f, -0.122410675199216030f, |
| 0.992666142448947910f, -0.120888087235777620f, 0.992850414459864990f, -0.119365214810991760f, 0.993032350197851410f, -0.117842061508325200f, |
| 0.993211949234794500f, -0.116318630911904840f, 0.993389211148080650f, -0.114794926606509990f, 0.993564135520595300f, -0.113270952177564970f, |
| 0.993736721940724600f, -0.111746711211127060f, 0.993906970002356060f, -0.110222207293883360f, 0.994074879304879370f, -0.108697444013138870f, |
| 0.994240449453187900f, -0.107172424956808840f, 0.994403680057679100f, -0.105647153713410440f, 0.994564570734255420f, -0.104121633872055130f, |
| 0.994723121104325700f, -0.102595869022436680f, 0.994879330794805620f, -0.101069862754828060f, 0.995033199438118630f, -0.099543618660069402f, |
| 0.995184726672196930f, -0.098017140329560506f, 0.995333912140482170f, -0.096490431355253231f, 0.995480755491926940f, -0.094963495329639477f, |
| 0.995625256380994310f, -0.093436335845748092f, 0.995767414467659820f, -0.091908956497132877f, 0.995907229417411720f, -0.090381360877864969f, |
| 0.996044700901251970f, -0.088853552582524420f, 0.996179828595696870f, -0.087325535206192628f, 0.996312612182778000f, -0.085797312344440282f, |
| 0.996443051350042630f, -0.084268887593324307f, 0.996571145790554840f, -0.082740264549375761f, 0.996696895202896060f, -0.081211446809592344f, |
| 0.996820299291165670f, -0.079682437971430750f, 0.996941357764982050f, -0.078153241632794718f, 0.997060070339482960f, -0.076623861392031811f, |
| 0.997176436735326080f, -0.075094300847921472f, 0.997290456678690210f, -0.073564563599667412f, 0.997402129901275300f, -0.072034653246889152f, |
| 0.997511456140303450f, -0.070504573389614425f, 0.997618435138519550f, -0.068974327628267135f, 0.997723066644191640f, -0.067443919563664287f, |
| 0.997825350411111640f, -0.065913352797003888f, 0.997925286198596000f, -0.064382630929857368f, 0.998022873771486130f, -0.062851757564162059f, |
| 0.998118112900149180f, -0.061320736302209057f, 0.998211003360478190f, -0.059789570746640187f, 0.998301544933892780f, -0.058258264500435912f, |
| 0.998389737407340160f, -0.056726821166907741f, 0.998475580573294770f, -0.055195244349689775f, 0.998559074229759310f, -0.053663537652731082f, |
| 0.998640218180265160f, -0.052131704680283719f, 0.998719012233872940f, -0.050599749036899518f, 0.998795456205172410f, -0.049067674327418091f, |
| 0.998869549914283560f, -0.047535484156959219f, 0.998941293186856870f, -0.046003182130915268f, 0.999010685854073270f, -0.044470771854939146f, |
| 0.999077727752645360f, -0.042938256934941139f, 0.999142418724816910f, -0.041405640977076899f, 0.999204758618363890f, -0.039872927587739811f, |
| 0.999264747286594420f, -0.038340120373552534f, 0.999322384588349430f, -0.036807222941359394f, 0.999377670388002850f, -0.035274238898214350f, |
| 0.999430604555461730f, -0.033741171851377823f, 0.999481186966166950f, -0.032208025408304662f, 0.999529417501093140f, -0.030674803176636543f, |
| 0.999575296046749220f, -0.029141508764194368f, 0.999618822495178640f, -0.027608145778966225f, 0.999659996743959220f, -0.026074717829104220f, |
| 0.999698818696204250f, -0.024541228522912448f, 0.999735288260561680f, -0.023007681468839372f, 0.999769405351215280f, -0.021474080275469345f, |
| 0.999801169887884260f, -0.019940428551515003f, 0.999830581795823400f, -0.018406729905805226f, 0.999857641005823860f, -0.016872987947281957f, |
| 0.999882347454212560f, -0.015339206284988182f, 0.999904701082852900f, -0.013805388528060311f, 0.999924701839144500f, -0.012271538285720572f, |
| 0.999942349676023910f, -0.010737659167264976f, 0.999957644551963900f, -0.009203754782060144f, 0.999970586430974140f, -0.007669828739531261f, |
| 0.999981175282601110f, -0.006135884649154477f, 0.999989411081928400f, -0.004601926120448411f, 0.999995293809576190f, -0.003067956762966544f, |
| 0.999998823451701880f, -0.001533980186285172f, |
| }; |
| |
| /** |
| * @brief Initialization function for the floating-point CFFT/CIFFT. |
| * @param[in,out] *S points to an instance of the floating-point CFFT/CIFFT structure. |
| * @param[in] fftLen length of the FFT. |
| * @param[in] ifftFlag flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. |
| * @param[in] bitReverseFlag flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. |
| * @return The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if <code>fftLen</code> is not a supported value. |
| * |
| * \par Description: |
| * \par |
| * The parameter <code>ifftFlag</code> controls whether a forward or inverse transform is computed. |
| * Set(=1) ifftFlag for calculation of CIFFT otherwise CFFT is calculated |
| * \par |
| * The parameter <code>bitReverseFlag</code> controls whether output is in normal order or bit reversed order. |
| * Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order. |
| * \par |
| * The parameter <code>fftLen</code> Specifies length of CFFT/CIFFT process. Supported FFT Lengths are 16, 64, 256, 1024. |
| * \par |
| * This Function also initializes Twiddle factor table pointer and Bit reversal table pointer. |
| */ |
| |
| arm_status arm_cfft_radix4_init_f32( |
| arm_cfft_radix4_instance_f32 * S, |
| uint16_t fftLen, |
| uint8_t ifftFlag, |
| uint8_t bitReverseFlag) |
| { |
| /* Initialise the default arm status */ |
| arm_status status = ARM_MATH_SUCCESS; |
| |
| /* Initialise the FFT length */ |
| S->fftLen = fftLen; |
| |
| /* Initialise the Twiddle coefficient pointer */ |
| S->pTwiddle = (float32_t *) twiddleCoef; |
| |
| /* Initialise the Flag for selection of CFFT or CIFFT */ |
| S->ifftFlag = ifftFlag; |
| |
| /* Initialise the Flag for calculation Bit reversal or not */ |
| S->bitReverseFlag = bitReverseFlag; |
| |
| /* Initializations of structure parameters depending on the FFT length */ |
| switch (S->fftLen) |
| { |
| |
| case 4096u: |
| /* Initializations of structure parameters for 4096 point FFT */ |
| |
| /* Initialise the twiddle coef modifier value */ |
| S->twidCoefModifier = 1u; |
| /* Initialise the bit reversal table modifier */ |
| S->bitRevFactor = 1u; |
| /* Initialise the bit reversal table pointer */ |
| S->pBitRevTable = armBitRevTable; |
| /* Initialise the 1/N Value */ |
| S->onebyfftLen = 0.000244140625; |
| break; |
| |
| case 1024u: |
| /* Initializations of structure parameters for 1024 point FFT */ |
| |
| /* Initialise the twiddle coef modifier value */ |
| S->twidCoefModifier = 4u; |
| /* Initialise the bit reversal table modifier */ |
| S->bitRevFactor = 4u; |
| /* Initialise the bit reversal table pointer */ |
| S->pBitRevTable = &armBitRevTable[3]; |
| /* Initialise the 1/fftLen Value */ |
| S->onebyfftLen = 0.0009765625f; |
| break; |
| |
| |
| case 256u: |
| /* Initializations of structure parameters for 256 point FFT */ |
| S->twidCoefModifier = 16u; |
| S->bitRevFactor = 16u; |
| S->pBitRevTable = &armBitRevTable[15]; |
| S->onebyfftLen = 0.00390625f; |
| break; |
| |
| case 64u: |
| /* Initializations of structure parameters for 64 point FFT */ |
| S->twidCoefModifier = 64u; |
| S->bitRevFactor = 64u; |
| S->pBitRevTable = &armBitRevTable[63]; |
| S->onebyfftLen = 0.015625f; |
| break; |
| |
| case 16u: |
| /* Initializations of structure parameters for 16 point FFT */ |
| S->twidCoefModifier = 256u; |
| S->bitRevFactor = 256u; |
| S->pBitRevTable = &armBitRevTable[255]; |
| S->onebyfftLen = 0.0625f; |
| break; |
| |
| |
| default: |
| /* Reporting argument error if fftSize is not valid value */ |
| status = ARM_MATH_ARGUMENT_ERROR; |
| break; |
| } |
| |
| return (status); |
| } |
| |
| /** |
| * @} end of CFFT_CIFFT group |
| */ |
