arm_rfft_init_f32.c

00001 /* ----------------------------------------------------------------------
00002  * Project:      CMSIS DSP Library
00003  * Title:        arm_rfft_init_f32.c
00004  * Description:  RFFT & RIFFT Floating point initialisation function
00005  *
00006  * $Date:        27. January 2017
00007  * $Revision:    V.1.5.1
00008  *
00009  * Target Processor: Cortex-M cores
00010  * -------------------------------------------------------------------- */
00011 /*
00012  * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
00013  *
00014  * SPDX-License-Identifier: Apache-2.0
00015  *
00016  * Licensed under the Apache License, Version 2.0 (the License); you may
00017  * not use this file except in compliance with the License.
00018  * You may obtain a copy of the License at
00019  *
00020  * www.apache.org/licenses/LICENSE-2.0
00021  *
00022  * Unless required by applicable law or agreed to in writing, software
00023  * distributed under the License is distributed on an AS IS BASIS, WITHOUT
00024  * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
00025  * See the License for the specific language governing permissions and
00026  * limitations under the License.
00027  */
00028 
00029 #include "arm_math.h"
00030 
00031 /**
00032  * @ingroup RealFFT
00033  */
00034 
00035 /**
00036  * @addtogroup RealFFT_Table Real FFT Tables
00037  * @{
00038  */
00039 
00040 /**
00041 * \par
00042 * Generation of realCoefA array:
00043 * \par
00044 *   n = 4096
00045 * <pre>for (i = 0; i < n; i++)
00046 *  {
00047 *    pATable[2 * i] = 0.5 * (1.0 - sin (2 * PI / (double) (2 * n) * (double) i));
00048 *    pATable[2 * i + 1] = 0.5 * (-1.0 * cos (2 * PI / (double) (2 * n) * (double) i));
00049 *  } </pre>
00050 */
00051 static const float32_t realCoefA [8192] = {
00052   0.500000000000000f, -0.500000000000000f, 0.499616503715515f, -0.499999850988388f,
00053   0.499233007431030f, -0.499999403953552f, 0.498849511146545f, -0.499998688697815f,
00054   0.498466014862061f, -0.499997645616531f, 0.498082518577576f, -0.499996334314346f,
00055   0.497699022293091f, -0.499994695186615f, 0.497315555810928f, -0.499992787837982f,
00056   0.496932059526443f, -0.499990582466125f, 0.496548563241959f, -0.499988079071045f,
00057   0.496165096759796f, -0.499985307455063f, 0.495781600475311f, -0.499982208013535f,
00058   0.495398133993149f, -0.499978810548782f, 0.495014637708664f, -0.499975144863129f,
00059   0.494631171226501f, -0.499971181154251f, 0.494247704744339f, -0.499966919422150f,
00060   0.493864238262177f, -0.499962359666824f, 0.493480771780014f, -0.499957501888275f,
00061   0.493097305297852f, -0.499952346086502f, 0.492713838815689f, -0.499946922063828f,
00062   0.492330402135849f, -0.499941170215607f, 0.491946935653687f, -0.499935150146484f,
00063   0.491563498973846f, -0.499928832054138f, 0.491180062294006f, -0.499922215938568f,
00064   0.490796625614166f, -0.499915301799774f, 0.490413218736649f, -0.499908089637756f,
00065   0.490029782056808f, -0.499900579452515f, 0.489646375179291f, -0.499892801046371f,
00066   0.489262968301773f, -0.499884694814682f, 0.488879561424255f, -0.499876320362091f,
00067   0.488496154546738f, -0.499867647886276f, 0.488112777471542f, -0.499858677387238f,
00068   0.487729400396347f, -0.499849408864975f, 0.487346023321152f, -0.499839842319489f,
00069   0.486962646245956f, -0.499830007553101f, 0.486579269170761f, -0.499819844961166f,
00070   0.486195921897888f, -0.499809414148331f, 0.485812574625015f, -0.499798685312271f,
00071   0.485429257154465f, -0.499787658452988f, 0.485045909881592f, -0.499776333570480f,
00072   0.484662592411041f, -0.499764710664749f, 0.484279274940491f, -0.499752789735794f,
00073   0.483895987272263f, -0.499740600585938f, 0.483512699604034f, -0.499728083610535f,
00074   0.483129411935806f, -0.499715298414230f, 0.482746154069901f, -0.499702215194702f,
00075   0.482362866401672f, -0.499688833951950f, 0.481979638338089f, -0.499675154685974f,
00076   0.481596380472183f, -0.499661177396774f, 0.481213152408600f, -0.499646931886673f,
00077   0.480829954147339f, -0.499632388353348f, 0.480446726083755f, -0.499617516994476f,
00078   0.480063527822495f, -0.499602377414703f, 0.479680359363556f, -0.499586939811707f,
00079   0.479297190904617f, -0.499571204185486f, 0.478914022445679f, -0.499555170536041f,
00080   0.478530883789063f, -0.499538868665695f, 0.478147745132446f, -0.499522238969803f,
00081   0.477764606475830f, -0.499505341053009f, 0.477381497621536f, -0.499488145112991f,
00082   0.476998418569565f, -0.499470651149750f, 0.476615339517593f, -0.499452859163284f,
00083   0.476232260465622f, -0.499434769153595f, 0.475849211215973f, -0.499416410923004f,
00084   0.475466161966324f, -0.499397724866867f, 0.475083142518997f, -0.499378770589828f,
00085   0.474700123071671f, -0.499359518289566f, 0.474317133426666f, -0.499339967966080f,
00086   0.473934143781662f, -0.499320119619370f, 0.473551183938980f, -0.499299973249435f,
00087   0.473168224096298f, -0.499279528856277f, 0.472785294055939f, -0.499258816242218f,
00088   0.472402364015579f, -0.499237775802612f, 0.472019463777542f, -0.499216467142105f,
00089   0.471636593341827f, -0.499194860458374f, 0.471253722906113f, -0.499172955751419f,
00090   0.470870882272720f, -0.499150782823563f, 0.470488041639328f, -0.499128282070160f,
00091   0.470105201005936f, -0.499105513095856f, 0.469722419977188f, -0.499082416296005f,
00092   0.469339638948441f, -0.499059051275253f, 0.468956857919693f, -0.499035388231277f,
00093   0.468574106693268f, -0.499011427164078f, 0.468191385269165f, -0.498987197875977f,
00094   0.467808693647385f, -0.498962640762329f, 0.467426002025604f, -0.498937815427780f,
00095   0.467043310403824f, -0.498912662267685f, 0.466660678386688f, -0.498887240886688f,
00096   0.466278046369553f, -0.498861521482468f, 0.465895414352417f, -0.498835533857346f,
00097   0.465512841939926f, -0.498809218406677f, 0.465130269527435f, -0.498782604932785f,
00098   0.464747726917267f, -0.498755723237991f, 0.464365184307098f, -0.498728543519974f,
00099   0.463982671499252f, -0.498701065778732f, 0.463600188493729f, -0.498673290014267f,
00100   0.463217705488205f, -0.498645216226578f, 0.462835282087326f, -0.498616874217987f,
00101   0.462452858686447f, -0.498588204383850f, 0.462070435285568f, -0.498559266328812f,
00102   0.461688071489334f, -0.498530030250549f, 0.461305707693100f, -0.498500496149063f,
00103   0.460923373699188f, -0.498470664024353f, 0.460541069507599f, -0.498440563678741f,
00104   0.460158795118332f, -0.498410135507584f, 0.459776520729065f, -0.498379439115524f,
00105   0.459394276142120f, -0.498348444700241f, 0.459012061357498f, -0.498317152261734f,
00106   0.458629876375198f, -0.498285561800003f, 0.458247691392899f, -0.498253703117371f,
00107   0.457865566015244f, -0.498221516609192f, 0.457483440637589f, -0.498189061880112f,
00108   0.457101345062256f, -0.498156309127808f, 0.456719279289246f, -0.498123258352280f,
00109   0.456337243318558f, -0.498089909553528f, 0.455955207347870f, -0.498056292533875f,
00110   0.455573230981827f, -0.498022347688675f, 0.455191254615784f, -0.497988134622574f,
00111   0.454809308052063f, -0.497953623533249f, 0.454427421092987f, -0.497918814420700f,
00112   0.454045534133911f, -0.497883707284927f, 0.453663676977158f, -0.497848302125931f,
00113   0.453281819820404f, -0.497812628746033f, 0.452900022268295f, -0.497776657342911f,
00114   0.452518254518509f, -0.497740387916565f, 0.452136516571045f, -0.497703820466995f,
00115   0.451754778623581f, -0.497666954994202f, 0.451373100280762f, -0.497629791498184f,
00116   0.450991421937943f, -0.497592359781265f, 0.450609803199768f, -0.497554630041122f,
00117   0.450228184461594f, -0.497516602277756f, 0.449846625328064f, -0.497478276491165f,
00118   0.449465066194534f, -0.497439652681351f, 0.449083566665649f, -0.497400760650635f,
00119   0.448702067136765f, -0.497361570596695f, 0.448320597410202f, -0.497322082519531f,
00120   0.447939187288284f, -0.497282296419144f, 0.447557777166367f, -0.497242212295532f,
00121   0.447176426649094f, -0.497201830148697f, 0.446795076131821f, -0.497161179780960f,
00122   0.446413785219193f, -0.497120231389999f, 0.446032524108887f, -0.497078984975815f,
00123   0.445651292800903f, -0.497037440538406f, 0.445270061492920f, -0.496995598077774f,
00124   0.444888889789581f, -0.496953487396240f, 0.444507747888565f, -0.496911078691483f,
00125   0.444126635789871f, -0.496868371963501f, 0.443745553493500f, -0.496825367212296f,
00126   0.443364530801773f, -0.496782064437866f, 0.442983508110046f, -0.496738493442535f,
00127   0.442602545022964f, -0.496694594621658f, 0.442221581935883f, -0.496650427579880f,
00128   0.441840678453445f, -0.496605962514877f, 0.441459804773331f, -0.496561229228973f,
00129   0.441078960895538f, -0.496516168117523f, 0.440698176622391f, -0.496470838785172f,
00130   0.440317392349243f, -0.496425211429596f, 0.439936667680740f, -0.496379286050797f,
00131   0.439555943012238f, -0.496333062648773f, 0.439175277948380f, -0.496286571025848f,
00132   0.438794672489166f, -0.496239781379700f, 0.438414067029953f, -0.496192663908005f,
00133   0.438033521175385f, -0.496145308017731f, 0.437653005123138f, -0.496097624301910f,
00134   0.437272518873215f, -0.496049642562866f, 0.436892062425613f, -0.496001392602921f,
00135   0.436511665582657f, -0.495952844619751f, 0.436131268739700f, -0.495903998613358f,
00136   0.435750931501389f, -0.495854884386063f, 0.435370653867722f, -0.495805442333221f,
00137   0.434990376234055f, -0.495755732059479f, 0.434610158205032f, -0.495705723762512f,
00138   0.434229999780655f, -0.495655417442322f, 0.433849841356277f, -0.495604842901230f,
00139   0.433469742536545f, -0.495553970336914f, 0.433089673519135f, -0.495502769947052f,
00140   0.432709634304047f, -0.495451331138611f, 0.432329654693604f, -0.495399564504623f,
00141   0.431949704885483f, -0.495347499847412f, 0.431569814682007f, -0.495295166969299f,
00142   0.431189924478531f, -0.495242536067963f, 0.430810123682022f, -0.495189607143402f,
00143   0.430430322885513f, -0.495136409997940f, 0.430050581693649f, -0.495082914829254f,
00144   0.429670870304108f, -0.495029091835022f, 0.429291218519211f, -0.494975030422211f,
00145   0.428911596536636f, -0.494920641183853f, 0.428532034158707f, -0.494865983724594f,
00146   0.428152471780777f, -0.494810998439789f, 0.427772998809814f, -0.494755744934082f,
00147   0.427393525838852f, -0.494700223207474f, 0.427014142274857f, -0.494644373655319f,
00148   0.426634758710861f, -0.494588255882263f, 0.426255434751511f, -0.494531840085983f,
00149   0.425876170396805f, -0.494475126266479f, 0.425496935844421f, -0.494418144226074f,
00150   0.425117731094360f, -0.494360834360123f, 0.424738585948944f, -0.494303256273270f,
00151   0.424359470605850f, -0.494245409965515f, 0.423980414867401f, -0.494187235832214f,
00152   0.423601418733597f, -0.494128793478012f, 0.423222452402115f, -0.494070053100586f,
00153   0.422843515872955f, -0.494011014699936f, 0.422464638948441f, -0.493951678276062f,
00154   0.422085791826248f, -0.493892073631287f, 0.421707004308701f, -0.493832170963287f,
00155   0.421328276395798f, -0.493771970272064f, 0.420949578285217f, -0.493711471557617f,
00156   0.420570939779282f, -0.493650704622269f, 0.420192331075668f, -0.493589639663696f,
00157   0.419813781976700f, -0.493528276681900f, 0.419435262680054f, -0.493466645479202f,
00158   0.419056802988052f, -0.493404686450958f, 0.418678402900696f, -0.493342459201813f,
00159   0.418300032615662f, -0.493279963731766f, 0.417921721935272f, -0.493217140436172f,
00160   0.417543441057205f, -0.493154048919678f, 0.417165219783783f, -0.493090659379959f,
00161   0.416787058115005f, -0.493026971817017f, 0.416408926248550f, -0.492963016033173f,
00162   0.416030853986740f, -0.492898762226105f, 0.415652841329575f, -0.492834210395813f,
00163   0.415274858474731f, -0.492769360542297f, 0.414896935224533f, -0.492704242467880f,
00164   0.414519041776657f, -0.492638826370239f, 0.414141237735748f, -0.492573112249374f,
00165   0.413763463497162f, -0.492507129907608f, 0.413385748863220f, -0.492440819740295f,
00166   0.413008064031601f, -0.492374241352081f, 0.412630438804626f, -0.492307394742966f,
00167   0.412252873182297f, -0.492240220308304f, 0.411875367164612f, -0.492172777652740f,
00168   0.411497890949249f, -0.492105036973953f, 0.411120474338531f, -0.492037028074265f,
00169   0.410743117332459f, -0.491968721151352f, 0.410365819931030f, -0.491900116205215f,
00170   0.409988552331924f, -0.491831213235855f, 0.409611344337463f, -0.491762012243271f,
00171   0.409234195947647f, -0.491692543029785f, 0.408857107162476f, -0.491622805595398f,
00172   0.408480048179626f, -0.491552740335464f, 0.408103078603745f, -0.491482406854630f,
00173   0.407726138830185f, -0.491411775350571f, 0.407349258661270f, -0.491340845823288f,
00174   0.406972438097000f, -0.491269648075104f, 0.406595647335052f, -0.491198152303696f,
00175   0.406218945980072f, -0.491126358509064f, 0.405842274427414f, -0.491054296493530f,
00176   0.405465662479401f, -0.490981936454773f, 0.405089110136032f, -0.490909278392792f,
00177   0.404712617397308f, -0.490836352109909f, 0.404336184263229f, -0.490763127803802f,
00178   0.403959810733795f, -0.490689605474472f, 0.403583467006683f, -0.490615785121918f,
00179   0.403207212686539f, -0.490541696548462f, 0.402830988168716f, -0.490467309951782f,
00180   0.402454853057861f, -0.490392625331879f, 0.402078747749329f, -0.490317672491074f,
00181   0.401702702045441f, -0.490242421627045f, 0.401326715946198f, -0.490166902542114f,
00182   0.400950789451599f, -0.490091055631638f, 0.400574922561646f, -0.490014940500259f,
00183   0.400199115276337f, -0.489938557147980f, 0.399823367595673f, -0.489861875772476f,
00184   0.399447679519653f, -0.489784896373749f, 0.399072051048279f, -0.489707618951797f,
00185   0.398696482181549f, -0.489630073308945f, 0.398320972919464f, -0.489552229642868f,
00186   0.397945523262024f, -0.489474087953568f, 0.397570133209229f, -0.489395678043365f,
00187   0.397194802761078f, -0.489316970109940f, 0.396819531917572f, -0.489237964153290f,
00188   0.396444320678711f, -0.489158689975739f, 0.396069169044495f, -0.489079117774963f,
00189   0.395694077014923f, -0.488999247550964f, 0.395319044589996f, -0.488919109106064f,
00190   0.394944071769714f, -0.488838672637939f, 0.394569188356400f, -0.488757967948914f,
00191   0.394194334745407f, -0.488676935434341f, 0.393819570541382f, -0.488595664501190f,
00192   0.393444836139679f, -0.488514065742493f, 0.393070191144943f, -0.488432198762894f,
00193   0.392695605754852f, -0.488350033760071f, 0.392321079969406f, -0.488267600536346f,
00194   0.391946613788605f, -0.488184869289398f, 0.391572207212448f, -0.488101840019226f,
00195   0.391197860240936f, -0.488018542528152f, 0.390823602676392f, -0.487934947013855f,
00196   0.390449374914169f, -0.487851053476334f, 0.390075236558914f, -0.487766891717911f,
00197   0.389701157808304f, -0.487682431936264f, 0.389327138662338f, -0.487597703933716f,
00198   0.388953179121017f, -0.487512677907944f, 0.388579308986664f, -0.487427353858948f,
00199   0.388205498456955f, -0.487341761589050f, 0.387831717729568f, -0.487255871295929f,
00200   0.387458056211472f, -0.487169682979584f, 0.387084424495697f, -0.487083226442337f,
00201   0.386710882186890f, -0.486996471881866f, 0.386337369680405f, -0.486909449100494f,
00202   0.385963946580887f, -0.486822128295898f, 0.385590612888336f, -0.486734509468079f,
00203   0.385217308998108f, -0.486646622419357f, 0.384844094514847f, -0.486558437347412f,
00204   0.384470939636230f, -0.486469984054565f, 0.384097874164581f, -0.486381232738495f,
00205   0.383724838495255f, -0.486292183399200f, 0.383351892232895f, -0.486202865839005f,
00206   0.382979035377502f, -0.486113250255585f, 0.382606208324432f, -0.486023366451263f,
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02082   0.486195921897888f, 0.499809414148331f, 0.486579269170761f, 0.499819844961166f,
02083   0.486962646245956f, 0.499830007553101f, 0.487346023321152f, 0.499839842319489f,
02084   0.487729400396347f, 0.499849408864975f, 0.488112777471542f, 0.499858677387238f,
02085   0.488496154546738f, 0.499867647886276f, 0.488879561424255f, 0.499876320362091f,
02086   0.489262968301773f, 0.499884694814682f, 0.489646375179291f, 0.499892801046371f,
02087   0.490029782056808f, 0.499900579452515f, 0.490413218736649f, 0.499908089637756f,
02088   0.490796625614166f, 0.499915301799774f, 0.491180062294006f, 0.499922215938568f,
02089   0.491563498973846f, 0.499928832054138f, 0.491946935653687f, 0.499935150146484f,
02090   0.492330402135849f, 0.499941170215607f, 0.492713838815689f, 0.499946922063828f,
02091   0.493097305297852f, 0.499952346086502f, 0.493480771780014f, 0.499957501888275f,
02092   0.493864238262177f, 0.499962359666824f, 0.494247704744339f, 0.499966919422150f,
02093   0.494631171226501f, 0.499971181154251f, 0.495014637708664f, 0.499975144863129f,
02094   0.495398133993149f, 0.499978810548782f, 0.495781600475311f, 0.499982208013535f,
02095   0.496165096759796f, 0.499985307455063f, 0.496548563241959f, 0.499988079071045f,
02096   0.496932059526443f, 0.499990582466125f, 0.497315555810928f, 0.499992787837982f,
02097   0.497699022293091f, 0.499994695186615f, 0.498082518577576f, 0.499996334314346f,
02098   0.498466014862061f, 0.499997645616531f, 0.498849511146545f, 0.499998688697815f,
02099   0.499233007431030f, 0.499999403953552f, 0.499616503715515f, 0.499999850988388f,
02100 };
02101 
02102 
02103 /**
02104 * \par
02105 * Generation of realCoefB array:
02106 * \par
02107 * n = 4096
02108 * <pre>for (i = 0; i < n; i++)
02109 * {
02110 *    pBTable[2 * i] = 0.5 * (1.0 + sin (2 * PI / (double) (2 * n) * (double) i));
02111 *    pBTable[2 * i + 1] = 0.5 * (1.0 * cos (2 * PI / (double) (2 * n) * (double) i));
02112 *  } </pre>
02113 *
02114 */
02115 static const float32_t realCoefB [8192] = {
02116   0.500000000000000f, 0.500000000000000f, 0.500383496284485f, 0.499999850988388f,
02117   0.500766992568970f, 0.499999403953552f, 0.501150488853455f, 0.499998688697815f,
02118   0.501533985137939f, 0.499997645616531f, 0.501917481422424f, 0.499996334314346f,
02119   0.502300977706909f, 0.499994695186615f, 0.502684473991394f, 0.499992787837982f,
02120   0.503067970275879f, 0.499990582466125f, 0.503451406955719f, 0.499988079071045f,
02121   0.503834903240204f, 0.499985307455063f, 0.504218399524689f, 0.499982208013535f,
02122   0.504601895809174f, 0.499978810548782f, 0.504985332489014f, 0.499975144863129f,
02123   0.505368828773499f, 0.499971181154251f, 0.505752325057983f, 0.499966919422150f,
02124   0.506135761737823f, 0.499962359666824f, 0.506519258022308f, 0.499957501888275f,
02125   0.506902694702148f, 0.499952346086502f, 0.507286131381989f, 0.499946922063828f,
02126   0.507669627666473f, 0.499941170215607f, 0.508053064346313f, 0.499935150146484f,
02127   0.508436501026154f, 0.499928832054138f, 0.508819937705994f, 0.499922215938568f,
02128   0.509203374385834f, 0.499915301799774f, 0.509586811065674f, 0.499908089637756f,
02129   0.509970188140869f, 0.499900579452515f, 0.510353624820709f, 0.499892801046371f,
02130   0.510737061500549f, 0.499884694814682f, 0.511120438575745f, 0.499876320362091f,
02131   0.511503815650940f, 0.499867647886276f, 0.511887252330780f, 0.499858677387238f,
02132   0.512270629405975f, 0.499849408864975f, 0.512654006481171f, 0.499839842319489f,
02133   0.513037383556366f, 0.499830007553101f, 0.513420701026917f, 0.499819844961166f,
02134   0.513804078102112f, 0.499809414148331f, 0.514187395572662f, 0.499798685312271f,
02135   0.514570772647858f, 0.499787658452988f, 0.514954090118408f, 0.499776333570480f,
02136   0.515337407588959f, 0.499764710664749f, 0.515720725059509f, 0.499752789735794f,
02137   0.516103982925415f, 0.499740600585938f, 0.516487300395966f, 0.499728083610535f,
02138   0.516870558261871f, 0.499715298414230f, 0.517253875732422f, 0.499702215194702f,
02139   0.517637133598328f, 0.499688833951950f, 0.518020391464233f, 0.499675154685974f,
02140   0.518403589725494f, 0.499661177396774f, 0.518786847591400f, 0.499646931886673f,
02141   0.519170045852661f, 0.499632388353348f, 0.519553244113922f, 0.499617516994476f,
02142   0.519936442375183f, 0.499602377414703f, 0.520319640636444f, 0.499586939811707f,
02143   0.520702838897705f, 0.499571204185486f, 0.521085977554321f, 0.499555170536041f,
02144   0.521469116210938f, 0.499538868665695f, 0.521852254867554f, 0.499522238969803f,
02145   0.522235393524170f, 0.499505341053009f, 0.522618472576141f, 0.499488145112991f,
02146   0.523001611232758f, 0.499470651149750f, 0.523384690284729f, 0.499452859163284f,
02147   0.523767769336700f, 0.499434769153595f, 0.524150788784027f, 0.499416410923004f,
02148   0.524533808231354f, 0.499397724866867f, 0.524916887283325f, 0.499378770589828f,
02149   0.525299847126007f, 0.499359518289566f, 0.525682866573334f, 0.499339967966080f,
02150   0.526065826416016f, 0.499320119619370f, 0.526448845863342f, 0.499299973249435f,
02151   0.526831746101379f, 0.499279528856277f, 0.527214705944061f, 0.499258816242218f,
02152   0.527597606182098f, 0.499237775802612f, 0.527980506420136f, 0.499216467142105f,
02153   0.528363406658173f, 0.499194860458374f, 0.528746306896210f, 0.499172955751419f,
02154   0.529129147529602f, 0.499150782823563f, 0.529511988162994f, 0.499128282070160f,
02155   0.529894769191742f, 0.499105513095856f, 0.530277609825134f, 0.499082416296005f,
02156   0.530660390853882f, 0.499059051275253f, 0.531043112277985f, 0.499035388231277f,
02157   0.531425893306732f, 0.499011427164078f, 0.531808614730835f, 0.498987197875977f,
02158   0.532191336154938f, 0.498962640762329f, 0.532573997974396f, 0.498937815427780f,
02159   0.532956659793854f, 0.498912662267685f, 0.533339321613312f, 0.498887240886688f,
02160   0.533721983432770f, 0.498861521482468f, 0.534104585647583f, 0.498835533857346f,
02161   0.534487187862396f, 0.498809218406677f, 0.534869730472565f, 0.498782604932785f,
02162   0.535252273082733f, 0.498755723237991f, 0.535634815692902f, 0.498728543519974f,
02163   0.536017298698425f, 0.498701065778732f, 0.536399841308594f, 0.498673290014267f,
02164   0.536782264709473f, 0.498645216226578f, 0.537164747714996f, 0.498616874217987f,
02165   0.537547171115875f, 0.498588204383850f, 0.537929534912109f, 0.498559266328812f,
02166   0.538311958312988f, 0.498530030250549f, 0.538694262504578f, 0.498500496149063f,
02167   0.539076626300812f, 0.498470664024353f, 0.539458930492401f, 0.498440563678741f,
02168   0.539841234683990f, 0.498410135507584f, 0.540223479270935f, 0.498379439115524f,
02169   0.540605723857880f, 0.498348444700241f, 0.540987968444824f, 0.498317152261734f,
02170   0.541370153427124f, 0.498285561800003f, 0.541752278804779f, 0.498253703117371f,
02171   0.542134463787079f, 0.498221516609192f, 0.542516589164734f, 0.498189061880112f,
02172   0.542898654937744f, 0.498156309127808f, 0.543280720710754f, 0.498123258352280f,
02173   0.543662786483765f, 0.498089909553528f, 0.544044792652130f, 0.498056292533875f,
02174   0.544426798820496f, 0.498022347688675f, 0.544808745384216f, 0.497988134622574f,
02175   0.545190691947937f, 0.497953623533249f, 0.545572578907013f, 0.497918814420700f,
02176   0.545954465866089f, 0.497883707284927f, 0.546336352825165f, 0.497848302125931f,
02177   0.546718180179596f, 0.497812628746033f, 0.547099947929382f, 0.497776657342911f,
02178   0.547481775283813f, 0.497740387916565f, 0.547863483428955f, 0.497703820466995f,
02179   0.548245191574097f, 0.497666954994202f, 0.548626899719238f, 0.497629791498184f,
02180   0.549008548259735f, 0.497592359781265f, 0.549390196800232f, 0.497554630041122f,
02181   0.549771785736084f, 0.497516602277756f, 0.550153374671936f, 0.497478276491165f,
02182   0.550534904003143f, 0.497439652681351f, 0.550916433334351f, 0.497400760650635f,
02183   0.551297962665558f, 0.497361570596695f, 0.551679372787476f, 0.497322082519531f,
02184   0.552060842514038f, 0.497282296419144f, 0.552442193031311f, 0.497242212295532f,
02185   0.552823603153229f, 0.497201830148697f, 0.553204894065857f, 0.497161179780960f,
02186   0.553586184978485f, 0.497120231389999f, 0.553967475891113f, 0.497078984975815f,
02187   0.554348707199097f, 0.497037440538406f, 0.554729938507080f, 0.496995598077774f,
02188   0.555111110210419f, 0.496953487396240f, 0.555492222309113f, 0.496911078691483f,
02189   0.555873334407806f, 0.496868371963501f, 0.556254446506500f, 0.496825367212296f,
02190   0.556635499000549f, 0.496782064437866f, 0.557016491889954f, 0.496738493442535f,
02191   0.557397484779358f, 0.496694594621658f, 0.557778418064117f, 0.496650427579880f,
02192   0.558159291744232f, 0.496605962514877f, 0.558540165424347f, 0.496561229228973f,
02193   0.558921039104462f, 0.496516168117523f, 0.559301853179932f, 0.496470838785172f,
02194   0.559682607650757f, 0.496425211429596f, 0.560063362121582f, 0.496379286050797f,
02195   0.560444056987762f, 0.496333062648773f, 0.560824692249298f, 0.496286571025848f,
02196   0.561205327510834f, 0.496239781379700f, 0.561585903167725f, 0.496192663908005f,
02197   0.561966478824615f, 0.496145308017731f, 0.562346994876862f, 0.496097624301910f,
02198   0.562727510929108f, 0.496049642562866f, 0.563107967376709f, 0.496001392602921f,
02199   0.563488364219666f, 0.495952844619751f, 0.563868701457977f, 0.495903998613358f,
02200   0.564249038696289f, 0.495854884386063f, 0.564629375934601f, 0.495805442333221f,
02201   0.565009593963623f, 0.495755732059479f, 0.565389811992645f, 0.495705723762512f,
02202   0.565770030021667f, 0.495655417442322f, 0.566150128841400f, 0.495604842901230f,
02203   0.566530287265778f, 0.495553970336914f, 0.566910326480865f, 0.495502769947052f,
02204   0.567290365695953f, 0.495451331138611f, 0.567670345306396f, 0.495399564504623f,
02205   0.568050265312195f, 0.495347499847412f, 0.568430185317993f, 0.495295166969299f,
02206   0.568810045719147f, 0.495242536067963f, 0.569189906120300f, 0.495189607143402f,
02207   0.569569647312164f, 0.495136409997940f, 0.569949388504028f, 0.495082914829254f,
02208   0.570329129695892f, 0.495029091835022f, 0.570708811283112f, 0.494975030422211f,
02209   0.571088373661041f, 0.494920641183853f, 0.571467995643616f, 0.494865983724594f,
02210   0.571847498416901f, 0.494810998439789f, 0.572227001190186f, 0.494755744934082f,
02211   0.572606444358826f, 0.494700223207474f, 0.572985887527466f, 0.494644373655319f,
02212   0.573365211486816f, 0.494588255882263f, 0.573744535446167f, 0.494531840085983f,
02213   0.574123859405518f, 0.494475126266479f, 0.574503064155579f, 0.494418144226074f,
02214   0.574882268905640f, 0.494360834360123f, 0.575261414051056f, 0.494303256273270f,
02215   0.575640499591827f, 0.494245409965515f, 0.576019585132599f, 0.494187235832214f,
02216   0.576398611068726f, 0.494128793478012f, 0.576777577400208f, 0.494070053100586f,
02217   0.577156484127045f, 0.494011014699936f, 0.577535390853882f, 0.493951678276062f,
02218   0.577914178371429f, 0.493892073631287f, 0.578292965888977f, 0.493832170963287f,
02219   0.578671753406525f, 0.493771970272064f, 0.579050421714783f, 0.493711471557617f,
02220   0.579429090023041f, 0.493650704622269f, 0.579807698726654f, 0.493589639663696f,
02221   0.580186247825623f, 0.493528276681900f, 0.580564737319946f, 0.493466645479202f,
02222   0.580943167209625f, 0.493404686450958f, 0.581321597099304f, 0.493342459201813f,
02223   0.581699967384338f, 0.493279963731766f, 0.582078278064728f, 0.493217140436172f,
02224   0.582456588745117f, 0.493154048919678f, 0.582834780216217f, 0.493090659379959f,
02225   0.583212971687317f, 0.493026971817017f, 0.583591103553772f, 0.492963016033173f,
02226   0.583969175815582f, 0.492898762226105f, 0.584347188472748f, 0.492834210395813f,
02227   0.584725141525269f, 0.492769360542297f, 0.585103094577789f, 0.492704242467880f,
02228   0.585480928421021f, 0.492638826370239f, 0.585858762264252f, 0.492573112249374f,
02229   0.586236536502838f, 0.492507129907608f, 0.586614251136780f, 0.492440819740295f,
02230   0.586991965770721f, 0.492374241352081f, 0.587369561195374f, 0.492307394742966f,
02231   0.587747097015381f, 0.492240220308304f, 0.588124632835388f, 0.492172777652740f,
02232   0.588502109050751f, 0.492105036973953f, 0.588879525661469f, 0.492037028074265f,
02233   0.589256882667542f, 0.491968721151352f, 0.589634180068970f, 0.491900116205215f,
02234   0.590011477470398f, 0.491831213235855f, 0.590388655662537f, 0.491762012243271f,
02235   0.590765833854675f, 0.491692543029785f, 0.591142892837524f, 0.491622805595398f,
02236   0.591519951820374f, 0.491552740335464f, 0.591896951198578f, 0.491482406854630f,
02237   0.592273890972137f, 0.491411775350571f, 0.592650771141052f, 0.491340845823288f,
02238   0.593027591705322f, 0.491269648075104f, 0.593404352664948f, 0.491198152303696f,
02239   0.593781054019928f, 0.491126358509064f, 0.594157755374908f, 0.491054296493530f,
02240   0.594534337520599f, 0.490981936454773f, 0.594910860061646f, 0.490909278392792f,
02241   0.595287382602692f, 0.490836352109909f, 0.595663845539093f, 0.490763127803802f,
02242   0.596040189266205f, 0.490689605474472f, 0.596416532993317f, 0.490615785121918f,
02243   0.596792817115784f, 0.490541696548462f, 0.597168982028961f, 0.490467309951782f,
02244   0.597545146942139f, 0.490392625331879f, 0.597921252250671f, 0.490317672491074f,
02245   0.598297297954559f, 0.490242421627045f, 0.598673284053802f, 0.490166902542114f,
02246   0.599049210548401f, 0.490091055631638f, 0.599425077438354f, 0.490014940500259f,
02247   0.599800884723663f, 0.489938557147980f, 0.600176632404327f, 0.489861875772476f,
02248   0.600552320480347f, 0.489784896373749f, 0.600927948951721f, 0.489707618951797f,
02249   0.601303517818451f, 0.489630073308945f, 0.601679027080536f, 0.489552229642868f,
02250   0.602054476737976f, 0.489474087953568f, 0.602429866790771f, 0.489395678043365f,
02251   0.602805197238922f, 0.489316970109940f, 0.603180468082428f, 0.489237964153290f,
02252   0.603555679321289f, 0.489158689975739f, 0.603930830955505f, 0.489079117774963f,
02253   0.604305922985077f, 0.488999247550964f, 0.604680955410004f, 0.488919109106064f,
02254   0.605055928230286f, 0.488838672637939f, 0.605430841445923f, 0.488757967948914f,
02255   0.605805635452271f, 0.488676935434341f, 0.606180429458618f, 0.488595664501190f,
02256   0.606555163860321f, 0.488514065742493f, 0.606929838657379f, 0.488432198762894f,
02257   0.607304394245148f, 0.488350033760071f, 0.607678949832916f, 0.488267600536346f,
02258   0.608053386211395f, 0.488184869289398f, 0.608427822589874f, 0.488101840019226f,
02259   0.608802139759064f, 0.488018542528152f, 0.609176397323608f, 0.487934947013855f,
02260   0.609550595283508f, 0.487851053476334f, 0.609924793243408f, 0.487766891717911f,
02261   0.610298871994019f, 0.487682431936264f, 0.610672831535339f, 0.487597703933716f,
02262   0.611046791076660f, 0.487512677907944f, 0.611420691013336f, 0.487427353858948f,
02263   0.611794531345367f, 0.487341761589050f, 0.612168252468109f, 0.487255871295929f,
02264   0.612541973590851f, 0.487169682979584f, 0.612915575504303f, 0.487083226442337f,
02265   0.613289117813110f, 0.486996471881866f, 0.613662600517273f, 0.486909449100494f,
02266   0.614036023616791f, 0.486822128295898f, 0.614409387111664f, 0.486734509468079f,
02267   0.614782691001892f, 0.486646622419357f, 0.615155875682831f, 0.486558437347412f,
02268   0.615529060363770f, 0.486469984054565f, 0.615902125835419f, 0.486381232738495f,
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04123   0.531425893306732f, -0.499011427164078f, 0.531043112277985f, -0.499035388231277f,
04124   0.530660390853882f, -0.499059051275253f, 0.530277609825134f, -0.499082416296005f,
04125   0.529894769191742f, -0.499105513095856f, 0.529511988162994f, -0.499128282070160f,
04126   0.529129147529602f, -0.499150782823563f, 0.528746306896210f, -0.499172955751419f,
04127   0.528363406658173f, -0.499194860458374f, 0.527980506420136f, -0.499216467142105f,
04128   0.527597606182098f, -0.499237775802612f, 0.527214705944061f, -0.499258816242218f,
04129   0.526831746101379f, -0.499279528856277f, 0.526448845863342f, -0.499299973249435f,
04130   0.526065826416016f, -0.499320119619370f, 0.525682866573334f, -0.499339967966080f,
04131   0.525299847126007f, -0.499359518289566f, 0.524916887283325f, -0.499378770589828f,
04132   0.524533808231354f, -0.499397724866867f, 0.524150788784027f, -0.499416410923004f,
04133   0.523767769336700f, -0.499434769153595f, 0.523384690284729f, -0.499452859163284f,
04134   0.523001611232758f, -0.499470651149750f, 0.522618472576141f, -0.499488145112991f,
04135   0.522235393524170f, -0.499505341053009f, 0.521852254867554f, -0.499522238969803f,
04136   0.521469116210938f, -0.499538868665695f, 0.521085977554321f, -0.499555170536041f,
04137   0.520702838897705f, -0.499571204185486f, 0.520319640636444f, -0.499586939811707f,
04138   0.519936442375183f, -0.499602377414703f, 0.519553244113922f, -0.499617516994476f,
04139   0.519170045852661f, -0.499632388353348f, 0.518786847591400f, -0.499646931886673f,
04140   0.518403589725494f, -0.499661177396774f, 0.518020391464233f, -0.499675154685974f,
04141   0.517637133598328f, -0.499688833951950f, 0.517253875732422f, -0.499702215194702f,
04142   0.516870558261871f, -0.499715298414230f, 0.516487300395966f, -0.499728083610535f,
04143   0.516103982925415f, -0.499740600585938f, 0.515720725059509f, -0.499752789735794f,
04144   0.515337407588959f, -0.499764710664749f, 0.514954090118408f, -0.499776333570480f,
04145   0.514570772647858f, -0.499787658452988f, 0.514187395572662f, -0.499798685312271f,
04146   0.513804078102112f, -0.499809414148331f, 0.513420701026917f, -0.499819844961166f,
04147   0.513037383556366f, -0.499830007553101f, 0.512654006481171f, -0.499839842319489f,
04148   0.512270629405975f, -0.499849408864975f, 0.511887252330780f, -0.499858677387238f,
04149   0.511503815650940f, -0.499867647886276f, 0.511120438575745f, -0.499876320362091f,
04150   0.510737061500549f, -0.499884694814682f, 0.510353624820709f, -0.499892801046371f,
04151   0.509970188140869f, -0.499900579452515f, 0.509586811065674f, -0.499908089637756f,
04152   0.509203374385834f, -0.499915301799774f, 0.508819937705994f, -0.499922215938568f,
04153   0.508436501026154f, -0.499928832054138f, 0.508053064346313f, -0.499935150146484f,
04154   0.507669627666473f, -0.499941170215607f, 0.507286131381989f, -0.499946922063828f,
04155   0.506902694702148f, -0.499952346086502f, 0.506519258022308f, -0.499957501888275f,
04156   0.506135761737823f, -0.499962359666824f, 0.505752325057983f, -0.499966919422150f,
04157   0.505368828773499f, -0.499971181154251f, 0.504985332489014f, -0.499975144863129f,
04158   0.504601895809174f, -0.499978810548782f, 0.504218399524689f, -0.499982208013535f,
04159   0.503834903240204f, -0.499985307455063f, 0.503451406955719f, -0.499988079071045f,
04160   0.503067970275879f, -0.499990582466125f, 0.502684473991394f, -0.499992787837982f,
04161   0.502300977706909f, -0.499994695186615f, 0.501917481422424f, -0.499996334314346f,
04162   0.501533985137939f, -0.499997645616531f, 0.501150488853455f, -0.499998688697815f,
04163   0.500766992568970f, -0.499999403953552f, 0.500383496284485f, -0.499999850988388f,
04164 };
04165 
04166 
04167 
04168 /**
04169 * @brief  Initialization function for the floating-point RFFT/RIFFT.
04170 * @deprecated Do not use this function.  It has been superceded by \ref arm_rfft_fast_init_f32 and will be removed
04171 * in the future.
04172 * @param[in,out] *S             points to an instance of the floating-point RFFT/RIFFT structure.
04173 * @param[in,out] *S_CFFT        points to an instance of the floating-point CFFT/CIFFT structure.
04174 * @param[in]     fftLenReal     length of the FFT.
04175 * @param[in]     ifftFlagR      flag that selects forward (ifftFlagR=0) or inverse (ifftFlagR=1) transform.
04176 * @param[in]     bitReverseFlag flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output.
04177 * @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.
04178 *
04179 * \par Description:
04180 * \par
04181 * The parameter <code>fftLenReal</code> Specifies length of RFFT/RIFFT Process. Supported FFT Lengths are 128, 512, 2048.
04182 * \par
04183 * The parameter <code>ifftFlagR</code> controls whether a forward or inverse transform is computed.
04184 * Set(=1) ifftFlagR to calculate RIFFT, otherwise RFFT is calculated.
04185 * \par
04186 * The parameter <code>bitReverseFlag</code> controls whether output is in normal order or bit reversed order.
04187 * Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order.
04188 * \par
04189 * This function also initializes Twiddle factor table.
04190 */
04191 
04192 /**
04193 * @} end of RealFFT_Table group
04194 */
04195 
04196 /**
04197 * @addtogroup RealFFT
04198 * @{
04199 */
04200 
04201 arm_status arm_rfft_init_f32(
04202   arm_rfft_instance_f32 * S,
04203   arm_cfft_radix4_instance_f32 * S_CFFT,
04204   uint32_t fftLenReal,
04205   uint32_t ifftFlagR,
04206   uint32_t bitReverseFlag)
04207 {
04208 
04209   /*  Initialise the default arm status */
04210   arm_status status = ARM_MATH_SUCCESS;
04211 
04212   /*  Initialize the Real FFT length */
04213   S->fftLenReal = (uint16_t) fftLenReal;
04214 
04215   /*  Initialize the Complex FFT length */
04216   S->fftLenBy2 = (uint16_t) fftLenReal / 2U;
04217 
04218   /*  Initialize the Twiddle coefficientA pointer */
04219   S->pTwiddleAReal = (float32_t *) realCoefA ;
04220 
04221   /*  Initialize the Twiddle coefficientB pointer */
04222   S->pTwiddleBReal = (float32_t *) realCoefB ;
04223 
04224   /*  Initialize the Flag for selection of RFFT or RIFFT */
04225   S->ifftFlagR = (uint8_t) ifftFlagR;
04226 
04227   /*  Initialize the Flag for calculation Bit reversal or not */
04228   S->bitReverseFlagR = (uint8_t) bitReverseFlag;
04229 
04230   /*  Initializations of structure parameters depending on the FFT length */
04231   switch (S->fftLenReal)
04232   {
04233     /* Init table modifier value */
04234   case 8192U:
04235     S->twidCoefRModifier = 1U;
04236     break;
04237   case 2048U:
04238     S->twidCoefRModifier = 4U;
04239     break;
04240   case 512U:
04241     S->twidCoefRModifier = 16U;
04242     break;
04243   case 128U:
04244     S->twidCoefRModifier = 64U;
04245     break;
04246   default:
04247     /*  Reporting argument error if rfftSize is not valid value */
04248     status = ARM_MATH_ARGUMENT_ERROR;
04249     break;
04250   }
04251 
04252   /* Init Complex FFT Instance */
04253   S->pCfft = S_CFFT;
04254 
04255   if (S->ifftFlagR)
04256   {
04257     /* Initializes the CIFFT Module for fftLenreal/2 length */
04258     arm_cfft_radix4_init_f32(S->pCfft, S->fftLenBy2, 1U, 0U);
04259   }
04260   else
04261   {
04262     /* Initializes the CFFT Module for fftLenreal/2 length */
04263     arm_cfft_radix4_init_f32(S->pCfft, S->fftLenBy2, 0U, 0U);
04264   }
04265 
04266   /* return the status of RFFT Init function */
04267   return (status);
04268 
04269 }
04270 
04271   /**
04272    * @} end of RealFFT group
04273    */
04274