tmk_core/tool/mbed/mbed-sdk/libraries/dsp/cmsis_dsp/TransformFunctions/arm_rfft_init_f32.c

   1 /* ----------------------------------------------------------------------
   2 * Copyright (C) 2010-2013 ARM Limited. All rights reserved.
   3 *
   4 * $Date:        17. January 2013
   5 * $Revision:    V1.4.1
   6 *
   7 * Project:          CMSIS DSP Library
   8 * Title:            arm_rfft_init_f32.c
   9 *
  10 * Description:  RFFT & RIFFT Floating point initialisation function
  11 *
  12 * Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
  13 *
  14 * Redistribution and use in source and binary forms, with or without
  15 * modification, are permitted provided that the following conditions
  16 * are met:
  17 *   - Redistributions of source code must retain the above copyright
  18 *     notice, this list of conditions and the following disclaimer.
  19 *   - Redistributions in binary form must reproduce the above copyright
  20 *     notice, this list of conditions and the following disclaimer in
  21 *     the documentation and/or other materials provided with the
  22 *     distribution.
  23 *   - Neither the name of ARM LIMITED nor the names of its contributors
  24 *     may be used to endorse or promote products derived from this
  25 *     software without specific prior written permission.
  26 *
  27 * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
  28 * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
  29 * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
  30 * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
  31 * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
  32 * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
  33 * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
  34 * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
  35 * CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
  36 * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
  37 * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
  38 * POSSIBILITY OF SUCH DAMAGE.
  39 * -------------------------------------------------------------------- */
  40
  41
  42 #include "arm_math.h"
  43
  44 /**
  45  * @ingroup groupTransforms
  46  */
  47
  48 /**
  49  * @addtogroup RealFFT
  50  * @{
  51  */
  52
  53 /**
  54 * \par
  55 * Generation of realCoefA array:
  56 * \par
  57 *       n = 4096
  58 * <pre>for (i = 0; i < n; i++)
  59 *  {
  60 *    pATable[2 * i] = 0.5 * (1.0 - sin (2 * PI / (double) (2 * n) * (double) i));
  61 *    pATable[2 * i + 1] = 0.5 * (-1.0 * cos (2 * PI / (double) (2 * n) * (double) i));
  62 *  } </pre>
  63 */
  64
  65
  66
  67 static const float32_t realCoefA[8192] = {
  68   0.500000000000000f, -0.500000000000000f, 0.499616503715515f,
  69     -0.499999850988388f,
  70   0.499233007431030f, -0.499999403953552f, 0.498849511146545f,
  71     -0.499998688697815f,
  72   0.498466014862061f, -0.499997645616531f, 0.498082518577576f,
  73     -0.499996334314346f,
  74   0.497699022293091f, -0.499994695186615f, 0.497315555810928f,
  75     -0.499992787837982f,
  76   0.496932059526443f, -0.499990582466125f, 0.496548563241959f,
  77     -0.499988079071045f,
  78   0.496165096759796f, -0.499985307455063f, 0.495781600475311f,
  79     -0.499982208013535f,
  80   0.495398133993149f, -0.499978810548782f, 0.495014637708664f,
  81     -0.499975144863129f,
  82   0.494631171226501f, -0.499971181154251f, 0.494247704744339f,
  83     -0.499966919422150f,
  84   0.493864238262177f, -0.499962359666824f, 0.493480771780014f,
  85     -0.499957501888275f,
  86   0.493097305297852f, -0.499952346086502f, 0.492713838815689f,
  87     -0.499946922063828f,
  88   0.492330402135849f, -0.499941170215607f, 0.491946935653687f,
  89     -0.499935150146484f,
  90   0.491563498973846f, -0.499928832054138f, 0.491180062294006f,
  91     -0.499922215938568f,
  92   0.490796625614166f, -0.499915301799774f, 0.490413218736649f,
  93     -0.499908089637756f,
  94   0.490029782056808f, -0.499900579452515f, 0.489646375179291f,
  95     -0.499892801046371f,
  96   0.489262968301773f, -0.499884694814682f, 0.488879561424255f,
  97     -0.499876320362091f,
  98   0.488496154546738f, -0.499867647886276f, 0.488112777471542f,
  99     -0.499858677387238f,
 100   0.487729400396347f, -0.499849408864975f, 0.487346023321152f,
 101     -0.499839842319489f,
 102   0.486962646245956f, -0.499830007553101f, 0.486579269170761f,
 103     -0.499819844961166f,
 104   0.486195921897888f, -0.499809414148331f, 0.485812574625015f,
 105     -0.499798685312271f,
 106   0.485429257154465f, -0.499787658452988f, 0.485045909881592f,
 107     -0.499776333570480f,
 108   0.484662592411041f, -0.499764710664749f, 0.484279274940491f,
 109     -0.499752789735794f,
 110   0.483895987272263f, -0.499740600585938f, 0.483512699604034f,
 111     -0.499728083610535f,
 112   0.483129411935806f, -0.499715298414230f, 0.482746154069901f,
 113     -0.499702215194702f,
 114   0.482362866401672f, -0.499688833951950f, 0.481979638338089f,
 115     -0.499675154685974f,
 116   0.481596380472183f, -0.499661177396774f, 0.481213152408600f,
 117     -0.499646931886673f,
 118   0.480829954147339f, -0.499632388353348f, 0.480446726083755f,
 119     -0.499617516994476f,
 120   0.480063527822495f, -0.499602377414703f, 0.479680359363556f,
 121     -0.499586939811707f,
 122   0.479297190904617f, -0.499571204185486f, 0.478914022445679f,
 123     -0.499555170536041f,
 124   0.478530883789063f, -0.499538868665695f, 0.478147745132446f,
 125     -0.499522238969803f,
 126   0.477764606475830f, -0.499505341053009f, 0.477381497621536f,
 127     -0.499488145112991f,
 128   0.476998418569565f, -0.499470651149750f, 0.476615339517593f,
 129     -0.499452859163284f,
 130   0.476232260465622f, -0.499434769153595f, 0.475849211215973f,
 131     -0.499416410923004f,
 132   0.475466161966324f, -0.499397724866867f, 0.475083142518997f,
 133     -0.499378770589828f,
 134   0.474700123071671f, -0.499359518289566f, 0.474317133426666f,
 135     -0.499339967966080f,
 136   0.473934143781662f, -0.499320119619370f, 0.473551183938980f,
 137     -0.499299973249435f,
 138   0.473168224096298f, -0.499279528856277f, 0.472785294055939f,
 139     -0.499258816242218f,
 140   0.472402364015579f, -0.499237775802612f, 0.472019463777542f,
 141     -0.499216467142105f,
 142   0.471636593341827f, -0.499194860458374f, 0.471253722906113f,
 143     -0.499172955751419f,
 144   0.470870882272720f, -0.499150782823563f, 0.470488041639328f,
 145     -0.499128282070160f,
 146   0.470105201005936f, -0.499105513095856f, 0.469722419977188f,
 147     -0.499082416296005f,
 148   0.469339638948441f, -0.499059051275253f, 0.468956857919693f,
 149     -0.499035388231277f,
 150   0.468574106693268f, -0.499011427164078f, 0.468191385269165f,
 151     -0.498987197875977f,
 152   0.467808693647385f, -0.498962640762329f, 0.467426002025604f,
 153     -0.498937815427780f,
 154   0.467043310403824f, -0.498912662267685f, 0.466660678386688f,
 155     -0.498887240886688f,
 156   0.466278046369553f, -0.498861521482468f, 0.465895414352417f,
 157     -0.498835533857346f,
 158   0.465512841939926f, -0.498809218406677f, 0.465130269527435f,
 159     -0.498782604932785f,
 160   0.464747726917267f, -0.498755723237991f, 0.464365184307098f,
 161     -0.498728543519974f,
 162   0.463982671499252f, -0.498701065778732f, 0.463600188493729f,
 163     -0.498673290014267f,
 164   0.463217705488205f, -0.498645216226578f, 0.462835282087326f,
 165     -0.498616874217987f,
 166   0.462452858686447f, -0.498588204383850f, 0.462070435285568f,
 167     -0.498559266328812f,
 168   0.461688071489334f, -0.498530030250549f, 0.461305707693100f,
 169     -0.498500496149063f,
 170   0.460923373699188f, -0.498470664024353f, 0.460541069507599f,
 171     -0.498440563678741f,
 172   0.460158795118332f, -0.498410135507584f, 0.459776520729065f,
 173     -0.498379439115524f,
 174   0.459394276142120f, -0.498348444700241f, 0.459012061357498f,
 175     -0.498317152261734f,
 176   0.458629876375198f, -0.498285561800003f, 0.458247691392899f,
 177     -0.498253703117371f,
 178   0.457865566015244f, -0.498221516609192f, 0.457483440637589f,
 179     -0.498189061880112f,
 180   0.457101345062256f, -0.498156309127808f, 0.456719279289246f,
 181     -0.498123258352280f,
 182   0.456337243318558f, -0.498089909553528f, 0.455955207347870f,
 183     -0.498056292533875f,
 184   0.455573230981827f, -0.498022347688675f, 0.455191254615784f,
 185     -0.497988134622574f,
 186   0.454809308052063f, -0.497953623533249f, 0.454427421092987f,
 187     -0.497918814420700f,
 188   0.454045534133911f, -0.497883707284927f, 0.453663676977158f,
 189     -0.497848302125931f,
 190   0.453281819820404f, -0.497812628746033f, 0.452900022268295f,
 191     -0.497776657342911f,
 192   0.452518254518509f, -0.497740387916565f, 0.452136516571045f,
 193     -0.497703820466995f,
 194   0.451754778623581f, -0.497666954994202f, 0.451373100280762f,
 195     -0.497629791498184f,
 196   0.450991421937943f, -0.497592359781265f, 0.450609803199768f,
 197     -0.497554630041122f,
 198   0.450228184461594f, -0.497516602277756f, 0.449846625328064f,
 199     -0.497478276491165f,
 200   0.449465066194534f, -0.497439652681351f, 0.449083566665649f,
 201     -0.497400760650635f,
 202   0.448702067136765f, -0.497361570596695f, 0.448320597410202f,
 203     -0.497322082519531f,
 204   0.447939187288284f, -0.497282296419144f, 0.447557777166367f,
 205     -0.497242212295532f,
 206   0.447176426649094f, -0.497201830148697f, 0.446795076131821f,
 207     -0.497161179780960f,
 208   0.446413785219193f, -0.497120231389999f, 0.446032524108887f,
 209     -0.497078984975815f,
 210   0.445651292800903f, -0.497037440538406f, 0.445270061492920f,
 211     -0.496995598077774f,
 212   0.444888889789581f, -0.496953487396240f, 0.444507747888565f,
 213     -0.496911078691483f,
 214   0.444126635789871f, -0.496868371963501f, 0.443745553493500f,
 215     -0.496825367212296f,
 216   0.443364530801773f, -0.496782064437866f, 0.442983508110046f,
 217     -0.496738493442535f,
 218   0.442602545022964f, -0.496694594621658f, 0.442221581935883f,
 219     -0.496650427579880f,
 220   0.441840678453445f, -0.496605962514877f, 0.441459804773331f,
 221     -0.496561229228973f,
 222   0.441078960895538f, -0.496516168117523f, 0.440698176622391f,
 223     -0.496470838785172f,
 224   0.440317392349243f, -0.496425211429596f, 0.439936667680740f,
 225     -0.496379286050797f,
 226   0.439555943012238f, -0.496333062648773f, 0.439175277948380f,
 227     -0.496286571025848f,
 228   0.438794672489166f, -0.496239781379700f, 0.438414067029953f,
 229     -0.496192663908005f,
 230   0.438033521175385f, -0.496145308017731f, 0.437653005123138f,
 231     -0.496097624301910f,
 232   0.437272518873215f, -0.496049642562866f, 0.436892062425613f,
 233     -0.496001392602921f,
 234   0.436511665582657f, -0.495952844619751f, 0.436131268739700f,
 235     -0.495903998613358f,
 236   0.435750931501389f, -0.495854884386063f, 0.435370653867722f,
 237     -0.495805442333221f,
 238   0.434990376234055f, -0.495755732059479f, 0.434610158205032f,
 239     -0.495705723762512f,
 240   0.434229999780655f, -0.495655417442322f, 0.433849841356277f,
 241     -0.495604842901230f,
 242   0.433469742536545f, -0.495553970336914f, 0.433089673519135f,
 243     -0.495502769947052f,
 244   0.432709634304047f, -0.495451331138611f, 0.432329654693604f,
 245     -0.495399564504623f,
 246   0.431949704885483f, -0.495347499847412f, 0.431569814682007f,
 247     -0.495295166969299f,
 248   0.431189924478531f, -0.495242536067963f, 0.430810123682022f,
 249     -0.495189607143402f,
 250   0.430430322885513f, -0.495136409997940f, 0.430050581693649f,
 251     -0.495082914829254f,
 252   0.429670870304108f, -0.495029091835022f, 0.429291218519211f,
 253     -0.494975030422211f,
 254   0.428911596536636f, -0.494920641183853f, 0.428532034158707f,
 255     -0.494865983724594f,
 256   0.428152471780777f, -0.494810998439789f, 0.427772998809814f,
 257     -0.494755744934082f,
 258   0.427393525838852f, -0.494700223207474f, 0.427014142274857f,
 259     -0.494644373655319f,
 260   0.426634758710861f, -0.494588255882263f, 0.426255434751511f,
 261     -0.494531840085983f,
 262   0.425876170396805f, -0.494475126266479f, 0.425496935844421f,
 263     -0.494418144226074f,
 264   0.425117731094360f, -0.494360834360123f, 0.424738585948944f,
 265     -0.494303256273270f,
 266   0.424359470605850f, -0.494245409965515f, 0.423980414867401f,
 267     -0.494187235832214f,
 268   0.423601418733597f, -0.494128793478012f, 0.423222452402115f,
 269     -0.494070053100586f,
 270   0.422843515872955f, -0.494011014699936f, 0.422464638948441f,
 271     -0.493951678276062f,
 272   0.422085791826248f, -0.493892073631287f, 0.421707004308701f,
 273     -0.493832170963287f,
 274   0.421328276395798f, -0.493771970272064f, 0.420949578285217f,
 275     -0.493711471557617f,
 276   0.420570939779282f, -0.493650704622269f, 0.420192331075668f,
 277     -0.493589639663696f,
 278   0.419813781976700f, -0.493528276681900f, 0.419435262680054f,
 279     -0.493466645479202f,
 280   0.419056802988052f, -0.493404686450958f, 0.418678402900696f,
 281     -0.493342459201813f,
 282   0.418300032615662f, -0.493279963731766f, 0.417921721935272f,
 283     -0.493217140436172f,
 284   0.417543441057205f, -0.493154048919678f, 0.417165219783783f,
 285     -0.493090659379959f,
 286   0.416787058115005f, -0.493026971817017f, 0.416408926248550f,
 287     -0.492963016033173f,
 288   0.416030853986740f, -0.492898762226105f, 0.415652841329575f,
 289     -0.492834210395813f,
 290   0.415274858474731f, -0.492769360542297f, 0.414896935224533f,
 291     -0.492704242467880f,
 292   0.414519041776657f, -0.492638826370239f, 0.414141237735748f,
 293     -0.492573112249374f,
 294   0.413763463497162f, -0.492507129907608f, 0.413385748863220f,
 295     -0.492440819740295f,
 296   0.413008064031601f, -0.492374241352081f, 0.412630438804626f,
 297     -0.492307394742966f,
 298   0.412252873182297f, -0.492240220308304f, 0.411875367164612f,
 299     -0.492172777652740f,
 300   0.411497890949249f, -0.492105036973953f, 0.411120474338531f,
 301     -0.492037028074265f,
 302   0.410743117332459f, -0.491968721151352f, 0.410365819931030f,
 303     -0.491900116205215f,
 304   0.409988552331924f, -0.491831213235855f, 0.409611344337463f,
 305     -0.491762012243271f,
 306   0.409234195947647f, -0.491692543029785f, 0.408857107162476f,
 307     -0.491622805595398f,
 308   0.408480048179626f, -0.491552740335464f, 0.408103078603745f,
 309     -0.491482406854630f,
 310   0.407726138830185f, -0.491411775350571f, 0.407349258661270f,
 311     -0.491340845823288f,
 312   0.406972438097000f, -0.491269648075104f, 0.406595647335052f,
 313     -0.491198152303696f,
 314   0.406218945980072f, -0.491126358509064f, 0.405842274427414f,
 315     -0.491054296493530f,
 316   0.405465662479401f, -0.490981936454773f, 0.405089110136032f,
 317     -0.490909278392792f,
 318   0.404712617397308f, -0.490836352109909f, 0.404336184263229f,
 319     -0.490763127803802f,
 320   0.403959810733795f, -0.490689605474472f, 0.403583467006683f,
 321     -0.490615785121918f,
 322   0.403207212686539f, -0.490541696548462f, 0.402830988168716f,
 323     -0.490467309951782f,
 324   0.402454853057861f, -0.490392625331879f, 0.402078747749329f,
 325     -0.490317672491074f,
 326   0.401702702045441f, -0.490242421627045f, 0.401326715946198f,
 327     -0.490166902542114f,
 328   0.400950789451599f, -0.490091055631638f, 0.400574922561646f,
 329     -0.490014940500259f,
 330   0.400199115276337f, -0.489938557147980f, 0.399823367595673f,
 331     -0.489861875772476f,
 332   0.399447679519653f, -0.489784896373749f, 0.399072051048279f,
 333     -0.489707618951797f,
 334   0.398696482181549f, -0.489630073308945f, 0.398320972919464f,
 335     -0.489552229642868f,
 336   0.397945523262024f, -0.489474087953568f, 0.397570133209229f,
 337     -0.489395678043365f,
 338   0.397194802761078f, -0.489316970109940f, 0.396819531917572f,
 339     -0.489237964153290f,
 340   0.396444320678711f, -0.489158689975739f, 0.396069169044495f,
 341     -0.489079117774963f,
 342   0.395694077014923f, -0.488999247550964f, 0.395319044589996f,
 343     -0.488919109106064f,
 344   0.394944071769714f, -0.488838672637939f, 0.394569188356400f,
 345     -0.488757967948914f,
 346   0.394194334745407f, -0.488676935434341f, 0.393819570541382f,
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1909     -0.079050421714783f,
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1913     -0.077535368502140f,
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1915     -0.076777562499046f,
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1917     -0.076019577682018f,
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1919     -0.075261414051056f,
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1921     -0.074503071606159f,
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1927     -0.072227008640766f,
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1929     -0.071467980742455f,
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1931     -0.070708781480789f,
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1933     -0.069949418306351f,
1934   0.004863593727350f, -0.069569669663906f, 0.004810380283743f,
1935     -0.069189883768559f,
1936   0.004757457878441f, -0.068810060620308f, 0.004704826977104f,
1937     -0.068430192768574f,
1938   0.004652487114072f, -0.068050287663937f, 0.004600439220667f,
1939     -0.067670337855816f,
1940   0.004548682365566f, -0.067290350794792f, 0.004497217014432f,
1941     -0.066910326480865f,
1942   0.004446043167263f, -0.066530264914036f, 0.004395160824060f,
1943     -0.066150158643723f,
1944   0.004344569984823f, -0.065770015120506f, 0.004294271115214f,
1945     -0.065389834344387f,
1946   0.004244263283908f, -0.065009608864784f, 0.004194547422230f,
1947     -0.064629353582859f,
1948   0.004145123064518f, -0.064249053597450f, 0.004095990676433f,
1949     -0.063868723809719f,
1950   0.004047149792314f, -0.063488349318504f, 0.003998600877821f,
1951     -0.063107937574387f,
1952   0.003950343467295f, -0.062727488577366f, 0.003902378026396f,
1953     -0.062347009778023f,
1954   0.003854704322293f, -0.061966486275196f, 0.003807322587818f,
1955     -0.061585929244757f,
1956   0.003760232590139f, -0.061205338686705f, 0.003713434794918f,
1957     -0.060824707150459f,
1958   0.003666928736493f, -0.060444042086601f, 0.003620714880526f,
1959     -0.060063343495131f,
1960   0.003574792761356f, -0.059682607650757f, 0.003529162844643f,
1961     -0.059301838278770f,
1962   0.003483824897557f, -0.058921031653881f, 0.003438779152930f,
1963     -0.058540191501379f,
1964   0.003394025377929f, -0.058159314095974f, 0.003349563805386f,
1965     -0.057778406888247f,
1966   0.003305394435301f, -0.057397462427616f, 0.003261517267674f,
1967     -0.057016488164663f,
1968   0.003217932302505f, -0.056635476648808f, 0.003174639539793f,
1969     -0.056254431605339f,
1970   0.003131638979539f, -0.055873356759548f, 0.003088930854574f,
1971     -0.055492244660854f,
1972   0.003046514932066f, -0.055111102759838f, 0.003004391444847f,
1973     -0.054729927331209f,
1974   0.002962560392916f, -0.054348722100258f, 0.002921021543443f,
1975     -0.053967483341694f,
1976   0.002879775362089f, -0.053586211055517f, 0.002838821383193f,
1977     -0.053204908967018f,
1978   0.002798160072416f, -0.052823577076197f, 0.002757790964097f,
1979     -0.052442211657763f,
1980   0.002717714523897f, -0.052060816437006f, 0.002677930751815f,
1981     -0.051679391413927f,
1982   0.002638439415023f, -0.051297932863235f, 0.002599240746349f,
1983     -0.050916448235512f,
1984   0.002560334512964f, -0.050534930080175f, 0.002521721180528f,
1985     -0.050153385847807f,
1986   0.002483400283381f, -0.049771808087826f, 0.002445372054353f,
1987     -0.049390204250813f,
1988   0.002407636726275f, -0.049008570611477f, 0.002370193833485f,
1989     -0.048626907169819f,
1990   0.002333043841645f, -0.048245213925838f, 0.002296186750755f,
1991     -0.047863494604826f,
1992   0.002259622327983f, -0.047481749206781f, 0.002223350573331f,
1993     -0.047099970281124f,
1994   0.002187371719629f, -0.046718169003725f, 0.002151685766876f,
1995     -0.046336337924004f,
1996   0.002116292715073f, -0.045954477041960f, 0.002081192564219f,
1997     -0.045572593808174f,
1998   0.002046385314316f, -0.045190680772066f, 0.002011870965362f,
1999     -0.044808741658926f,
2000   0.001977649517357f, -0.044426776468754f, 0.001943721086718f,
2001     -0.044044785201550f,
2002   0.001910085673444f, -0.043662767857313f, 0.001876743277535f,
2003     -0.043280724436045f,
2004   0.001843693898991f, -0.042898654937744f, 0.001810937537812f,
2005     -0.042516563087702f,
2006   0.001778474310413f, -0.042134445160627f, 0.001746304216795f,
2007     -0.041752301156521f,
2008   0.001714427140541f, -0.041370131075382f, 0.001682843198068f,
2009     -0.040987938642502f,
2010   0.001651552389376f, -0.040605723857880f, 0.001620554830879f,
2011     -0.040223482996225f,
2012   0.001589850406162f, -0.039841219782829f, 0.001559439115226f,
2013     -0.039458930492401f,
2014   0.001529321074486f, -0.039076622575521f, 0.001499496400356f,
2015     -0.038694288581610f,
2016   0.001469964860007f, -0.038311932235956f, 0.001440726569854f,
2017     -0.037929553538561f,
2018   0.001411781646311f, -0.037547148764133f, 0.001383129972965f,
2019     -0.037164725363255f,
2020   0.001354771666229f, -0.036782283335924f, 0.001326706726104f,
2021     -0.036399815231562f,
2022   0.001298935036175f, -0.036017324775457f, 0.001271456829272f,
2023     -0.035634815692902f,
2024   0.001244271872565f, -0.035252287983894f, 0.001217380515300f,
2025     -0.034869734197855f,
2026   0.001190782408230f, -0.034487165510654f, 0.001164477784187f,
2027     -0.034104570746422f,
2028   0.001138466643170f, -0.033721961081028f, 0.001112748985179f,
2029     -0.033339329063892f,
2030   0.001087324810214f, -0.032956674695015f, 0.001062194118276f,
2031     -0.032574005424976f,
2032   0.001037356909364f, -0.032191313803196f, 0.001012813183479f,
2033     -0.031808607280254f,
2034   0.000988563057035f, -0.031425878405571f, 0.000964606530033f,
2035     -0.031043132767081f,
2036   0.000940943544265f, -0.030660368502140f, 0.000917574157938f,
2037     -0.030277585610747f,
2038   0.000894498312846f, -0.029894785955548f, 0.000871716125403f,
2039     -0.029511967673898f,
2040   0.000849227537401f, -0.029129132628441f, 0.000827032607049f,
2041     -0.028746278956532f,
2042   0.000805131276138f, -0.028363410383463f, 0.000783523661084f,
2043     -0.027980525046587f,
2044   0.000762209703680f, -0.027597622945905f, 0.000741189462133f,
2045     -0.027214704081416f,
2046   0.000720462878235f, -0.026831768453121f, 0.000700030010194f,
2047     -0.026448817923665f,
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2049     -0.025682870298624f,
2050   0.000640493875835f, -0.025299875065684f, 0.000621235987637f,
2051     -0.024916863068938f,
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2053     -0.024150796234608f,
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2055     -0.023384673520923f,
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2057     -0.022618494927883f,
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2059     -0.021852264180779f,
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2061     -0.021085981279612f,
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2063     -0.020319648087025f,
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2065     -0.019553268328309f,
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2067     -0.018786842003465f,
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2069     -0.018020370975137f,
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2071     -0.017253857105970f,
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2073     -0.016487304121256f,
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2083     -0.012653990648687f,
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2085     -0.011887230910361f,
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2087     -0.011120444163680f,
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2089     -0.010353630408645f,
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2099     -0.006519233807921f,
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4095     0.499299973249435f,
4096   0.473934143781662f, 0.499320119619370f, 0.474317133426666f,
4097     0.499339967966080f,
4098   0.474700123071671f, 0.499359518289566f, 0.475083142518997f,
4099     0.499378770589828f,
4100   0.475466161966324f, 0.499397724866867f, 0.475849211215973f,
4101     0.499416410923004f,
4102   0.476232260465622f, 0.499434769153595f, 0.476615339517593f,
4103     0.499452859163284f,
4104   0.476998418569565f, 0.499470651149750f, 0.477381497621536f,
4105     0.499488145112991f,
4106   0.477764606475830f, 0.499505341053009f, 0.478147745132446f,
4107     0.499522238969803f,
4108   0.478530883789063f, 0.499538868665695f, 0.478914022445679f,
4109     0.499555170536041f,
4110   0.479297190904617f, 0.499571204185486f, 0.479680359363556f,
4111     0.499586939811707f,
4112   0.480063527822495f, 0.499602377414703f, 0.480446726083755f,
4113     0.499617516994476f,
4114   0.480829954147339f, 0.499632388353348f, 0.481213152408600f,
4115     0.499646931886673f,
4116   0.481596380472183f, 0.499661177396774f, 0.481979638338089f,
4117     0.499675154685974f,
4118   0.482362866401672f, 0.499688833951950f, 0.482746154069901f,
4119     0.499702215194702f,
4120   0.483129411935806f, 0.499715298414230f, 0.483512699604034f,
4121     0.499728083610535f,
4122   0.483895987272263f, 0.499740600585938f, 0.484279274940491f,
4123     0.499752789735794f,
4124   0.484662592411041f, 0.499764710664749f, 0.485045909881592f,
4125     0.499776333570480f,
4126   0.485429257154465f, 0.499787658452988f, 0.485812574625015f,
4127     0.499798685312271f,
4128   0.486195921897888f, 0.499809414148331f, 0.486579269170761f,
4129     0.499819844961166f,
4130   0.486962646245956f, 0.499830007553101f, 0.487346023321152f,
4131     0.499839842319489f,
4132   0.487729400396347f, 0.499849408864975f, 0.488112777471542f,
4133     0.499858677387238f,
4134   0.488496154546738f, 0.499867647886276f, 0.488879561424255f,
4135     0.499876320362091f,
4136   0.489262968301773f, 0.499884694814682f, 0.489646375179291f,
4137     0.499892801046371f,
4138   0.490029782056808f, 0.499900579452515f, 0.490413218736649f,
4139     0.499908089637756f,
4140   0.490796625614166f, 0.499915301799774f, 0.491180062294006f,
4141     0.499922215938568f,
4142   0.491563498973846f, 0.499928832054138f, 0.491946935653687f,
4143     0.499935150146484f,
4144   0.492330402135849f, 0.499941170215607f, 0.492713838815689f,
4145     0.499946922063828f,
4146   0.493097305297852f, 0.499952346086502f, 0.493480771780014f,
4147     0.499957501888275f,
4148   0.493864238262177f, 0.499962359666824f, 0.494247704744339f,
4149     0.499966919422150f,
4150   0.494631171226501f, 0.499971181154251f, 0.495014637708664f,
4151     0.499975144863129f,
4152   0.495398133993149f, 0.499978810548782f, 0.495781600475311f,
4153     0.499982208013535f,
4154   0.496165096759796f, 0.499985307455063f, 0.496548563241959f,
4155     0.499988079071045f,
4156   0.496932059526443f, 0.499990582466125f, 0.497315555810928f,
4157     0.499992787837982f,
4158   0.497699022293091f, 0.499994695186615f, 0.498082518577576f,
4159     0.499996334314346f,
4160   0.498466014862061f, 0.499997645616531f, 0.498849511146545f,
4161     0.499998688697815f,
4162   0.499233007431030f, 0.499999403953552f, 0.499616503715515f,
4163     0.499999850988388f,
4164 };
4165
4166
4167 /**
4168 * \par
4169 * Generation of realCoefB array:
4170 * \par
4171 * n = 4096
4172 * <pre>for (i = 0; i < n; i++)
4173 * {
4174 *    pBTable[2 * i] = 0.5 * (1.0 + sin (2 * PI / (double) (2 * n) * (double) i));
4175 *    pBTable[2 * i + 1] = 0.5 * (1.0 * cos (2 * PI / (double) (2 * n) * (double) i));
4176 *  } </pre>
4177 *
4178 */
4179 static const float32_t realCoefB[8192] = {
4180   0.500000000000000f, 0.500000000000000f, 0.500383496284485f,
4181     0.499999850988388f,
4182   0.500766992568970f, 0.499999403953552f, 0.501150488853455f,
4183     0.499998688697815f,
4184   0.501533985137939f, 0.499997645616531f, 0.501917481422424f,
4185     0.499996334314346f,
4186   0.502300977706909f, 0.499994695186615f, 0.502684473991394f,
4187     0.499992787837982f,
4188   0.503067970275879f, 0.499990582466125f, 0.503451406955719f,
4189     0.499988079071045f,
4190   0.503834903240204f, 0.499985307455063f, 0.504218399524689f,
4191     0.499982208013535f,
4192   0.504601895809174f, 0.499978810548782f, 0.504985332489014f,
4193     0.499975144863129f,
4194   0.505368828773499f, 0.499971181154251f, 0.505752325057983f,
4195     0.499966919422150f,
4196   0.506135761737823f, 0.499962359666824f, 0.506519258022308f,
4197     0.499957501888275f,
4198   0.506902694702148f, 0.499952346086502f, 0.507286131381989f,
4199     0.499946922063828f,
4200   0.507669627666473f, 0.499941170215607f, 0.508053064346313f,
4201     0.499935150146484f,
4202   0.508436501026154f, 0.499928832054138f, 0.508819937705994f,
4203     0.499922215938568f,
4204   0.509203374385834f, 0.499915301799774f, 0.509586811065674f,
4205     0.499908089637756f,
4206   0.509970188140869f, 0.499900579452515f, 0.510353624820709f,
4207     0.499892801046371f,
4208   0.510737061500549f, 0.499884694814682f, 0.511120438575745f,
4209     0.499876320362091f,
4210   0.511503815650940f, 0.499867647886276f, 0.511887252330780f,
4211     0.499858677387238f,
4212   0.512270629405975f, 0.499849408864975f, 0.512654006481171f,
4213     0.499839842319489f,
4214   0.513037383556366f, 0.499830007553101f, 0.513420701026917f,
4215     0.499819844961166f,
4216   0.513804078102112f, 0.499809414148331f, 0.514187395572662f,
4217     0.499798685312271f,
4218   0.514570772647858f, 0.499787658452988f, 0.514954090118408f,
4219     0.499776333570480f,
4220   0.515337407588959f, 0.499764710664749f, 0.515720725059509f,
4221     0.499752789735794f,
4222   0.516103982925415f, 0.499740600585938f, 0.516487300395966f,
4223     0.499728083610535f,
4224   0.516870558261871f, 0.499715298414230f, 0.517253875732422f,
4225     0.499702215194702f,
4226   0.517637133598328f, 0.499688833951950f, 0.518020391464233f,
4227     0.499675154685974f,
4228   0.518403589725494f, 0.499661177396774f, 0.518786847591400f,
4229     0.499646931886673f,
4230   0.519170045852661f, 0.499632388353348f, 0.519553244113922f,
4231     0.499617516994476f,
4232   0.519936442375183f, 0.499602377414703f, 0.520319640636444f,
4233     0.499586939811707f,
4234   0.520702838897705f, 0.499571204185486f, 0.521085977554321f,
4235     0.499555170536041f,
4236   0.521469116210938f, 0.499538868665695f, 0.521852254867554f,
4237     0.499522238969803f,
4238   0.522235393524170f, 0.499505341053009f, 0.522618472576141f,
4239     0.499488145112991f,
4240   0.523001611232758f, 0.499470651149750f, 0.523384690284729f,
4241     0.499452859163284f,
4242   0.523767769336700f, 0.499434769153595f, 0.524150788784027f,
4243     0.499416410923004f,
4244   0.524533808231354f, 0.499397724866867f, 0.524916887283325f,
4245     0.499378770589828f,
4246   0.525299847126007f, 0.499359518289566f, 0.525682866573334f,
4247     0.499339967966080f,
4248   0.526065826416016f, 0.499320119619370f, 0.526448845863342f,
4249     0.499299973249435f,
4250   0.526831746101379f, 0.499279528856277f, 0.527214705944061f,
4251     0.499258816242218f,
4252   0.527597606182098f, 0.499237775802612f, 0.527980506420136f,
4253     0.499216467142105f,
4254   0.528363406658173f, 0.499194860458374f, 0.528746306896210f,
4255     0.499172955751419f,
4256   0.529129147529602f, 0.499150782823563f, 0.529511988162994f,
4257     0.499128282070160f,
4258   0.529894769191742f, 0.499105513095856f, 0.530277609825134f,
4259     0.499082416296005f,
4260   0.530660390853882f, 0.499059051275253f, 0.531043112277985f,
4261     0.499035388231277f,
4262   0.531425893306732f, 0.499011427164078f, 0.531808614730835f,
4263     0.498987197875977f,
4264   0.532191336154938f, 0.498962640762329f, 0.532573997974396f,
4265     0.498937815427780f,
4266   0.532956659793854f, 0.498912662267685f, 0.533339321613312f,
4267     0.498887240886688f,
4268   0.533721983432770f, 0.498861521482468f, 0.534104585647583f,
4269     0.498835533857346f,
4270   0.534487187862396f, 0.498809218406677f, 0.534869730472565f,
4271     0.498782604932785f,
4272   0.535252273082733f, 0.498755723237991f, 0.535634815692902f,
4273     0.498728543519974f,
4274   0.536017298698425f, 0.498701065778732f, 0.536399841308594f,
4275     0.498673290014267f,
4276   0.536782264709473f, 0.498645216226578f, 0.537164747714996f,
4277     0.498616874217987f,
4278   0.537547171115875f, 0.498588204383850f, 0.537929534912109f,
4279     0.498559266328812f,
4280   0.538311958312988f, 0.498530030250549f, 0.538694262504578f,
4281     0.498500496149063f,
4282   0.539076626300812f, 0.498470664024353f, 0.539458930492401f,
4283     0.498440563678741f,
4284   0.539841234683990f, 0.498410135507584f, 0.540223479270935f,
4285     0.498379439115524f,
4286   0.540605723857880f, 0.498348444700241f, 0.540987968444824f,
4287     0.498317152261734f,
4288   0.541370153427124f, 0.498285561800003f, 0.541752278804779f,
4289     0.498253703117371f,
4290   0.542134463787079f, 0.498221516609192f, 0.542516589164734f,
4291     0.498189061880112f,
4292   0.542898654937744f, 0.498156309127808f, 0.543280720710754f,
4293     0.498123258352280f,
4294   0.543662786483765f, 0.498089909553528f, 0.544044792652130f,
4295     0.498056292533875f,
4296   0.544426798820496f, 0.498022347688675f, 0.544808745384216f,
4297     0.497988134622574f,
4298   0.545190691947937f, 0.497953623533249f, 0.545572578907013f,
4299     0.497918814420700f,
4300   0.545954465866089f, 0.497883707284927f, 0.546336352825165f,
4301     0.497848302125931f,
4302   0.546718180179596f, 0.497812628746033f, 0.547099947929382f,
4303     0.497776657342911f,
4304   0.547481775283813f, 0.497740387916565f, 0.547863483428955f,
4305     0.497703820466995f,
4306   0.548245191574097f, 0.497666954994202f, 0.548626899719238f,
4307     0.497629791498184f,
4308   0.549008548259735f, 0.497592359781265f, 0.549390196800232f,
4309     0.497554630041122f,
4310   0.549771785736084f, 0.497516602277756f, 0.550153374671936f,
4311     0.497478276491165f,
4312   0.550534904003143f, 0.497439652681351f, 0.550916433334351f,
4313     0.497400760650635f,
4314   0.551297962665558f, 0.497361570596695f, 0.551679372787476f,
4315     0.497322082519531f,
4316   0.552060842514038f, 0.497282296419144f, 0.552442193031311f,
4317     0.497242212295532f,
4318   0.552823603153229f, 0.497201830148697f, 0.553204894065857f,
4319     0.497161179780960f,
4320   0.553586184978485f, 0.497120231389999f, 0.553967475891113f,
4321     0.497078984975815f,
4322   0.554348707199097f, 0.497037440538406f, 0.554729938507080f,
4323     0.496995598077774f,
4324   0.555111110210419f, 0.496953487396240f, 0.555492222309113f,
4325     0.496911078691483f,
4326   0.555873334407806f, 0.496868371963501f, 0.556254446506500f,
4327     0.496825367212296f,
4328   0.556635499000549f, 0.496782064437866f, 0.557016491889954f,
4329     0.496738493442535f,
4330   0.557397484779358f, 0.496694594621658f, 0.557778418064117f,
4331     0.496650427579880f,
4332   0.558159291744232f, 0.496605962514877f, 0.558540165424347f,
4333     0.496561229228973f,
4334   0.558921039104462f, 0.496516168117523f, 0.559301853179932f,
4335     0.496470838785172f,
4336   0.559682607650757f, 0.496425211429596f, 0.560063362121582f,
4337     0.496379286050797f,
4338   0.560444056987762f, 0.496333062648773f, 0.560824692249298f,
4339     0.496286571025848f,
4340   0.561205327510834f, 0.496239781379700f, 0.561585903167725f,
4341     0.496192663908005f,
4342   0.561966478824615f, 0.496145308017731f, 0.562346994876862f,
4343     0.496097624301910f,
4344   0.562727510929108f, 0.496049642562866f, 0.563107967376709f,
4345     0.496001392602921f,
4346   0.563488364219666f, 0.495952844619751f, 0.563868701457977f,
4347     0.495903998613358f,
4348   0.564249038696289f, 0.495854884386063f, 0.564629375934601f,
4349     0.495805442333221f,
4350   0.565009593963623f, 0.495755732059479f, 0.565389811992645f,
4351     0.495705723762512f,
4352   0.565770030021667f, 0.495655417442322f, 0.566150128841400f,
4353     0.495604842901230f,
4354   0.566530287265778f, 0.495553970336914f, 0.566910326480865f,
4355     0.495502769947052f,
4356   0.567290365695953f, 0.495451331138611f, 0.567670345306396f,
4357     0.495399564504623f,
4358   0.568050265312195f, 0.495347499847412f, 0.568430185317993f,
4359     0.495295166969299f,
4360   0.568810045719147f, 0.495242536067963f, 0.569189906120300f,
4361     0.495189607143402f,
4362   0.569569647312164f, 0.495136409997940f, 0.569949388504028f,
4363     0.495082914829254f,
4364   0.570329129695892f, 0.495029091835022f, 0.570708811283112f,
4365     0.494975030422211f,
4366   0.571088373661041f, 0.494920641183853f, 0.571467995643616f,
4367     0.494865983724594f,
4368   0.571847498416901f, 0.494810998439789f, 0.572227001190186f,
4369     0.494755744934082f,
4370   0.572606444358826f, 0.494700223207474f, 0.572985887527466f,
4371     0.494644373655319f,
4372   0.573365211486816f, 0.494588255882263f, 0.573744535446167f,
4373     0.494531840085983f,
4374   0.574123859405518f, 0.494475126266479f, 0.574503064155579f,
4375     0.494418144226074f,
4376   0.574882268905640f, 0.494360834360123f, 0.575261414051056f,
4377     0.494303256273270f,
4378   0.575640499591827f, 0.494245409965515f, 0.576019585132599f,
4379     0.494187235832214f,
4380   0.576398611068726f, 0.494128793478012f, 0.576777577400208f,
4381     0.494070053100586f,
4382   0.577156484127045f, 0.494011014699936f, 0.577535390853882f,
4383     0.493951678276062f,
4384   0.577914178371429f, 0.493892073631287f, 0.578292965888977f,
4385     0.493832170963287f,
4386   0.578671753406525f, 0.493771970272064f, 0.579050421714783f,
4387     0.493711471557617f,
4388   0.579429090023041f, 0.493650704622269f, 0.579807698726654f,
4389     0.493589639663696f,
4390   0.580186247825623f, 0.493528276681900f, 0.580564737319946f,
4391     0.493466645479202f,
4392   0.580943167209625f, 0.493404686450958f, 0.581321597099304f,
4393     0.493342459201813f,
4394   0.581699967384338f, 0.493279963731766f, 0.582078278064728f,
4395     0.493217140436172f,
4396   0.582456588745117f, 0.493154048919678f, 0.582834780216217f,
4397     0.493090659379959f,
4398   0.583212971687317f, 0.493026971817017f, 0.583591103553772f,
4399     0.492963016033173f,
4400   0.583969175815582f, 0.492898762226105f, 0.584347188472748f,
4401     0.492834210395813f,
4402   0.584725141525269f, 0.492769360542297f, 0.585103094577789f,
4403     0.492704242467880f,
4404   0.585480928421021f, 0.492638826370239f, 0.585858762264252f,
4405     0.492573112249374f,
4406   0.586236536502838f, 0.492507129907608f, 0.586614251136780f,
4407     0.492440819740295f,
4408   0.586991965770721f, 0.492374241352081f, 0.587369561195374f,
4409     0.492307394742966f,
4410   0.587747097015381f, 0.492240220308304f, 0.588124632835388f,
4411     0.492172777652740f,
4412   0.588502109050751f, 0.492105036973953f, 0.588879525661469f,
4413     0.492037028074265f,
4414   0.589256882667542f, 0.491968721151352f, 0.589634180068970f,
4415     0.491900116205215f,
4416   0.590011477470398f, 0.491831213235855f, 0.590388655662537f,
4417     0.491762012243271f,
4418   0.590765833854675f, 0.491692543029785f, 0.591142892837524f,
4419     0.491622805595398f,
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8115     -0.496192663908005f,
8116   0.561205327510834f, -0.496239781379700f, 0.560824692249298f,
8117     -0.496286571025848f,
8118   0.560444056987762f, -0.496333062648773f, 0.560063362121582f,
8119     -0.496379286050797f,
8120   0.559682607650757f, -0.496425211429596f, 0.559301853179932f,
8121     -0.496470838785172f,
8122   0.558921039104462f, -0.496516168117523f, 0.558540165424347f,
8123     -0.496561229228973f,
8124   0.558159291744232f, -0.496605962514877f, 0.557778418064117f,
8125     -0.496650427579880f,
8126   0.557397484779358f, -0.496694594621658f, 0.557016491889954f,
8127     -0.496738493442535f,
8128   0.556635499000549f, -0.496782064437866f, 0.556254446506500f,
8129     -0.496825367212296f,
8130   0.555873334407806f, -0.496868371963501f, 0.555492222309113f,
8131     -0.496911078691483f,
8132   0.555111110210419f, -0.496953487396240f, 0.554729938507080f,
8133     -0.496995598077774f,
8134   0.554348707199097f, -0.497037440538406f, 0.553967475891113f,
8135     -0.497078984975815f,
8136   0.553586184978485f, -0.497120231389999f, 0.553204894065857f,
8137     -0.497161179780960f,
8138   0.552823603153229f, -0.497201830148697f, 0.552442193031311f,
8139     -0.497242212295532f,
8140   0.552060842514038f, -0.497282296419144f, 0.551679372787476f,
8141     -0.497322082519531f,
8142   0.551297962665558f, -0.497361570596695f, 0.550916433334351f,
8143     -0.497400760650635f,
8144   0.550534904003143f, -0.497439652681351f, 0.550153374671936f,
8145     -0.497478276491165f,
8146   0.549771785736084f, -0.497516602277756f, 0.549390196800232f,
8147     -0.497554630041122f,
8148   0.549008548259735f, -0.497592359781265f, 0.548626899719238f,
8149     -0.497629791498184f,
8150   0.548245191574097f, -0.497666954994202f, 0.547863483428955f,
8151     -0.497703820466995f,
8152   0.547481775283813f, -0.497740387916565f, 0.547099947929382f,
8153     -0.497776657342911f,
8154   0.546718180179596f, -0.497812628746033f, 0.546336352825165f,
8155     -0.497848302125931f,
8156   0.545954465866089f, -0.497883707284927f, 0.545572578907013f,
8157     -0.497918814420700f,
8158   0.545190691947937f, -0.497953623533249f, 0.544808745384216f,
8159     -0.497988134622574f,
8160   0.544426798820496f, -0.498022347688675f, 0.544044792652130f,
8161     -0.498056292533875f,
8162   0.543662786483765f, -0.498089909553528f, 0.543280720710754f,
8163     -0.498123258352280f,
8164   0.542898654937744f, -0.498156309127808f, 0.542516589164734f,
8165     -0.498189061880112f,
8166   0.542134463787079f, -0.498221516609192f, 0.541752278804779f,
8167     -0.498253703117371f,
8168   0.541370153427124f, -0.498285561800003f, 0.540987968444824f,
8169     -0.498317152261734f,
8170   0.540605723857880f, -0.498348444700241f, 0.540223479270935f,
8171     -0.498379439115524f,
8172   0.539841234683990f, -0.498410135507584f, 0.539458930492401f,
8173     -0.498440563678741f,
8174   0.539076626300812f, -0.498470664024353f, 0.538694262504578f,
8175     -0.498500496149063f,
8176   0.538311958312988f, -0.498530030250549f, 0.537929534912109f,
8177     -0.498559266328812f,
8178   0.537547171115875f, -0.498588204383850f, 0.537164747714996f,
8179     -0.498616874217987f,
8180   0.536782264709473f, -0.498645216226578f, 0.536399841308594f,
8181     -0.498673290014267f,
8182   0.536017298698425f, -0.498701065778732f, 0.535634815692902f,
8183     -0.498728543519974f,
8184   0.535252273082733f, -0.498755723237991f, 0.534869730472565f,
8185     -0.498782604932785f,
8186   0.534487187862396f, -0.498809218406677f, 0.534104585647583f,
8187     -0.498835533857346f,
8188   0.533721983432770f, -0.498861521482468f, 0.533339321613312f,
8189     -0.498887240886688f,
8190   0.532956659793854f, -0.498912662267685f, 0.532573997974396f,
8191     -0.498937815427780f,
8192   0.532191336154938f, -0.498962640762329f, 0.531808614730835f,
8193     -0.498987197875977f,
8194   0.531425893306732f, -0.499011427164078f, 0.531043112277985f,
8195     -0.499035388231277f,
8196   0.530660390853882f, -0.499059051275253f, 0.530277609825134f,
8197     -0.499082416296005f,
8198   0.529894769191742f, -0.499105513095856f, 0.529511988162994f,
8199     -0.499128282070160f,
8200   0.529129147529602f, -0.499150782823563f, 0.528746306896210f,
8201     -0.499172955751419f,
8202   0.528363406658173f, -0.499194860458374f, 0.527980506420136f,
8203     -0.499216467142105f,
8204   0.527597606182098f, -0.499237775802612f, 0.527214705944061f,
8205     -0.499258816242218f,
8206   0.526831746101379f, -0.499279528856277f, 0.526448845863342f,
8207     -0.499299973249435f,
8208   0.526065826416016f, -0.499320119619370f, 0.525682866573334f,
8209     -0.499339967966080f,
8210   0.525299847126007f, -0.499359518289566f, 0.524916887283325f,
8211     -0.499378770589828f,
8212   0.524533808231354f, -0.499397724866867f, 0.524150788784027f,
8213     -0.499416410923004f,
8214   0.523767769336700f, -0.499434769153595f, 0.523384690284729f,
8215     -0.499452859163284f,
8216   0.523001611232758f, -0.499470651149750f, 0.522618472576141f,
8217     -0.499488145112991f,
8218   0.522235393524170f, -0.499505341053009f, 0.521852254867554f,
8219     -0.499522238969803f,
8220   0.521469116210938f, -0.499538868665695f, 0.521085977554321f,
8221     -0.499555170536041f,
8222   0.520702838897705f, -0.499571204185486f, 0.520319640636444f,
8223     -0.499586939811707f,
8224   0.519936442375183f, -0.499602377414703f, 0.519553244113922f,
8225     -0.499617516994476f,
8226   0.519170045852661f, -0.499632388353348f, 0.518786847591400f,
8227     -0.499646931886673f,
8228   0.518403589725494f, -0.499661177396774f, 0.518020391464233f,
8229     -0.499675154685974f,
8230   0.517637133598328f, -0.499688833951950f, 0.517253875732422f,
8231     -0.499702215194702f,
8232   0.516870558261871f, -0.499715298414230f, 0.516487300395966f,
8233     -0.499728083610535f,
8234   0.516103982925415f, -0.499740600585938f, 0.515720725059509f,
8235     -0.499752789735794f,
8236   0.515337407588959f, -0.499764710664749f, 0.514954090118408f,
8237     -0.499776333570480f,
8238   0.514570772647858f, -0.499787658452988f, 0.514187395572662f,
8239     -0.499798685312271f,
8240   0.513804078102112f, -0.499809414148331f, 0.513420701026917f,
8241     -0.499819844961166f,
8242   0.513037383556366f, -0.499830007553101f, 0.512654006481171f,
8243     -0.499839842319489f,
8244   0.512270629405975f, -0.499849408864975f, 0.511887252330780f,
8245     -0.499858677387238f,
8246   0.511503815650940f, -0.499867647886276f, 0.511120438575745f,
8247     -0.499876320362091f,
8248   0.510737061500549f, -0.499884694814682f, 0.510353624820709f,
8249     -0.499892801046371f,
8250   0.509970188140869f, -0.499900579452515f, 0.509586811065674f,
8251     -0.499908089637756f,
8252   0.509203374385834f, -0.499915301799774f, 0.508819937705994f,
8253     -0.499922215938568f,
8254   0.508436501026154f, -0.499928832054138f, 0.508053064346313f,
8255     -0.499935150146484f,
8256   0.507669627666473f, -0.499941170215607f, 0.507286131381989f,
8257     -0.499946922063828f,
8258   0.506902694702148f, -0.499952346086502f, 0.506519258022308f,
8259     -0.499957501888275f,
8260   0.506135761737823f, -0.499962359666824f, 0.505752325057983f,
8261     -0.499966919422150f,
8262   0.505368828773499f, -0.499971181154251f, 0.504985332489014f,
8263     -0.499975144863129f,
8264   0.504601895809174f, -0.499978810548782f, 0.504218399524689f,
8265     -0.499982208013535f,
8266   0.503834903240204f, -0.499985307455063f, 0.503451406955719f,
8267     -0.499988079071045f,
8268   0.503067970275879f, -0.499990582466125f, 0.502684473991394f,
8269     -0.499992787837982f,
8270   0.502300977706909f, -0.499994695186615f, 0.501917481422424f,
8271     -0.499996334314346f,
8272   0.501533985137939f, -0.499997645616531f, 0.501150488853455f,
8273     -0.499998688697815f,
8274   0.500766992568970f, -0.499999403953552f, 0.500383496284485f,
8275     -0.499999850988388f,
8276 };
8277
8278
8279
8280 /**
8281 * @brief  Initialization function for the floating-point RFFT/RIFFT.
8282 * @deprecated Do not use this function.  It has been superceded by \ref arm_rfft_fast_init_f32 and will be removed
8283 * in the future.
8284 * @param[in,out] *S             points to an instance of the floating-point RFFT/RIFFT structure.
8285 * @param[in,out] *S_CFFT        points to an instance of the floating-point CFFT/CIFFT structure.
8286 * @param[in]     fftLenReal     length of the FFT.
8287 * @param[in]     ifftFlagR      flag that selects forward (ifftFlagR=0) or inverse (ifftFlagR=1) transform.
8288 * @param[in]     bitReverseFlag flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output.
8289 * @return               The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if <code>fftLenReal</code> is not a supported value.
8290 *
8291 * \par Description:
8292 * \par
8293 * The parameter <code>fftLenReal</code> Specifies length of RFFT/RIFFT Process. Supported FFT Lengths are 128, 512, 2048.
8294 * \par
8295 * The parameter <code>ifftFlagR</code> controls whether a forward or inverse transform is computed.
8296 * Set(=1) ifftFlagR to calculate RIFFT, otherwise RFFT is calculated.
8297 * \par
8298 * The parameter <code>bitReverseFlag</code> controls whether output is in normal order or bit reversed order.
8299 * Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order.
8300 * \par
8301 * This function also initializes Twiddle factor table.
8302 */
8303
8304 arm_status arm_rfft_init_f32(
8305   arm_rfft_instance_f32 * S,
8306   arm_cfft_radix4_instance_f32 * S_CFFT,
8307   uint32_t fftLenReal,
8308   uint32_t ifftFlagR,
8309   uint32_t bitReverseFlag)
8310 {
8311
8312   /*  Initialise the default arm status */
8313   arm_status status = ARM_MATH_SUCCESS;
8314
8315   /*  Initialize the Real FFT length */
8316   S->fftLenReal = (uint16_t) fftLenReal;
8317
8318   /*  Initialize the Complex FFT length */
8319   S->fftLenBy2 = (uint16_t) fftLenReal / 2u;
8320
8321   /*  Initialize the Twiddle coefficientA pointer */
8322   S->pTwiddleAReal = (float32_t *) realCoefA;
8323
8324   /*  Initialize the Twiddle coefficientB pointer */
8325   S->pTwiddleBReal = (float32_t *) realCoefB;
8326
8327   /*  Initialize the Flag for selection of RFFT or RIFFT */
8328   S->ifftFlagR = (uint8_t) ifftFlagR;
8329
8330   /*  Initialize the Flag for calculation Bit reversal or not */
8331   S->bitReverseFlagR = (uint8_t) bitReverseFlag;
8332
8333   /*  Initializations of structure parameters depending on the FFT length */
8334   switch (S->fftLenReal)
8335   {
8336     /* Init table modifier value */
8337   case 8192u:
8338     S->twidCoefRModifier = 1u;
8339     break;
8340   case 2048u:
8341     S->twidCoefRModifier = 4u;
8342     break;
8343   case 512u:
8344     S->twidCoefRModifier = 16u;
8345     break;
8346   case 128u:
8347     S->twidCoefRModifier = 64u;
8348     break;
8349   default:
8350     /*  Reporting argument error if rfftSize is not valid value */
8351     status = ARM_MATH_ARGUMENT_ERROR;
8352     break;
8353   }
8354
8355   /* Init Complex FFT Instance */
8356   S->pCfft = S_CFFT;
8357
8358   if(S->ifftFlagR)
8359   {
8360     /* Initializes the CIFFT Module for fftLenreal/2 length */
8361     arm_cfft_radix4_init_f32(S->pCfft, S->fftLenBy2, 1u, 0u);
8362   }
8363   else
8364   {
8365     /* Initializes the CFFT Module for fftLenreal/2 length */
8366     arm_cfft_radix4_init_f32(S->pCfft, S->fftLenBy2, 0u, 0u);
8367   }
8368
8369   /* return the status of RFFT Init function */
8370   return (status);
8371
8372 }
8373
8374   /**
8375    * @} end of RealFFT group
8376    */