arm_rfft_init_f32.c

00001 /* ----------------------------------------------------------------------    
00002 * Copyright (C) 2010-2014 ARM Limited. All rights reserved.    
00003 *    
00004 * $Date:        19. March 2015 
00005 * $Revision:    V.1.4.5  
00006 *    
00007 * Project:      CMSIS DSP Library    
00008 * Title:        arm_rfft_init_f32.c    
00009 *    
00010 * Description:  RFFT & RIFFT Floating point initialisation function    
00011 *    
00012 * Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
00013 *  
00014 * Redistribution and use in source and binary forms, with or without 
00015 * modification, are permitted provided that the following conditions
00016 * are met:
00017 *   - Redistributions of source code must retain the above copyright
00018 *     notice, this list of conditions and the following disclaimer.
00019 *   - Redistributions in binary form must reproduce the above copyright
00020 *     notice, this list of conditions and the following disclaimer in
00021 *     the documentation and/or other materials provided with the 
00022 *     distribution.
00023 *   - Neither the name of ARM LIMITED nor the names of its contributors
00024 *     may be used to endorse or promote products derived from this
00025 *     software without specific prior written permission.
00026 *
00027 * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
00028 * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
00029 * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
00030 * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
00031 * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
00032 * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
00033 * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
00034 * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
00035 * CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
00036 * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
00037 * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
00038 * POSSIBILITY OF SUCH DAMAGE.     
00039 * -------------------------------------------------------------------- */
00040 
00041 
00042 #include "arm_math.h"
00043 
00044 /**    
00045  * @ingroup groupTransforms    
00046  */
00047 
00048 /**    
00049  * @addtogroup RealFFT    
00050  * @{    
00051  */
00052 
00053 /**    
00054 * \par    
00055 * Generation of realCoefA array:    
00056 * \par    
00057 *   n = 4096    
00058 * <pre>for (i = 0; i < n; i++)    
00059 *  {    
00060 *    pATable[2 * i] = 0.5 * (1.0 - sin (2 * PI / (double) (2 * n) * (double) i));    
00061 *    pATable[2 * i + 1] = 0.5 * (-1.0 * cos (2 * PI / (double) (2 * n) * (double) i));    
00062 *  } </pre>    
00063 */
00064 
00065 
00066 
00067 static const float32_t realCoefA [8192] = {
00068   0.500000000000000f, -0.500000000000000f, 0.499616503715515f,
00069     -0.499999850988388f,
00070   0.499233007431030f, -0.499999403953552f, 0.498849511146545f,
00071     -0.499998688697815f,
00072   0.498466014862061f, -0.499997645616531f, 0.498082518577576f,
00073     -0.499996334314346f,
00074   0.497699022293091f, -0.499994695186615f, 0.497315555810928f,
00075     -0.499992787837982f,
00076   0.496932059526443f, -0.499990582466125f, 0.496548563241959f,
00077     -0.499988079071045f,
00078   0.496165096759796f, -0.499985307455063f, 0.495781600475311f,
00079     -0.499982208013535f,
00080   0.495398133993149f, -0.499978810548782f, 0.495014637708664f,
00081     -0.499975144863129f,
00082   0.494631171226501f, -0.499971181154251f, 0.494247704744339f,
00083     -0.499966919422150f,
00084   0.493864238262177f, -0.499962359666824f, 0.493480771780014f,
00085     -0.499957501888275f,
00086   0.493097305297852f, -0.499952346086502f, 0.492713838815689f,
00087     -0.499946922063828f,
00088   0.492330402135849f, -0.499941170215607f, 0.491946935653687f,
00089     -0.499935150146484f,
00090   0.491563498973846f, -0.499928832054138f, 0.491180062294006f,
00091     -0.499922215938568f,
00092   0.490796625614166f, -0.499915301799774f, 0.490413218736649f,
00093     -0.499908089637756f,
00094   0.490029782056808f, -0.499900579452515f, 0.489646375179291f,
00095     -0.499892801046371f,
00096   0.489262968301773f, -0.499884694814682f, 0.488879561424255f,
00097     -0.499876320362091f,
00098   0.488496154546738f, -0.499867647886276f, 0.488112777471542f,
00099     -0.499858677387238f,
00100   0.487729400396347f, -0.499849408864975f, 0.487346023321152f,
00101     -0.499839842319489f,
00102   0.486962646245956f, -0.499830007553101f, 0.486579269170761f,
00103     -0.499819844961166f,
00104   0.486195921897888f, -0.499809414148331f, 0.485812574625015f,
00105     -0.499798685312271f,
00106   0.485429257154465f, -0.499787658452988f, 0.485045909881592f,
00107     -0.499776333570480f,
00108   0.484662592411041f, -0.499764710664749f, 0.484279274940491f,
00109     -0.499752789735794f,
00110   0.483895987272263f, -0.499740600585938f, 0.483512699604034f,
00111     -0.499728083610535f,
00112   0.483129411935806f, -0.499715298414230f, 0.482746154069901f,
00113     -0.499702215194702f,
00114   0.482362866401672f, -0.499688833951950f, 0.481979638338089f,
00115     -0.499675154685974f,
00116   0.481596380472183f, -0.499661177396774f, 0.481213152408600f,
00117     -0.499646931886673f,
00118   0.480829954147339f, -0.499632388353348f, 0.480446726083755f,
00119     -0.499617516994476f,
00120   0.480063527822495f, -0.499602377414703f, 0.479680359363556f,
00121     -0.499586939811707f,
00122   0.479297190904617f, -0.499571204185486f, 0.478914022445679f,
00123     -0.499555170536041f,
00124   0.478530883789063f, -0.499538868665695f, 0.478147745132446f,
00125     -0.499522238969803f,
00126   0.477764606475830f, -0.499505341053009f, 0.477381497621536f,
00127     -0.499488145112991f,
00128   0.476998418569565f, -0.499470651149750f, 0.476615339517593f,
00129     -0.499452859163284f,
00130   0.476232260465622f, -0.499434769153595f, 0.475849211215973f,
00131     -0.499416410923004f,
00132   0.475466161966324f, -0.499397724866867f, 0.475083142518997f,
00133     -0.499378770589828f,
00134   0.474700123071671f, -0.499359518289566f, 0.474317133426666f,
00135     -0.499339967966080f,
00136   0.473934143781662f, -0.499320119619370f, 0.473551183938980f,
00137     -0.499299973249435f,
00138   0.473168224096298f, -0.499279528856277f, 0.472785294055939f,
00139     -0.499258816242218f,
00140   0.472402364015579f, -0.499237775802612f, 0.472019463777542f,
00141     -0.499216467142105f,
00142   0.471636593341827f, -0.499194860458374f, 0.471253722906113f,
00143     -0.499172955751419f,
00144   0.470870882272720f, -0.499150782823563f, 0.470488041639328f,
00145     -0.499128282070160f,
00146   0.470105201005936f, -0.499105513095856f, 0.469722419977188f,
00147     -0.499082416296005f,
00148   0.469339638948441f, -0.499059051275253f, 0.468956857919693f,
00149     -0.499035388231277f,
00150   0.468574106693268f, -0.499011427164078f, 0.468191385269165f,
00151     -0.498987197875977f,
00152   0.467808693647385f, -0.498962640762329f, 0.467426002025604f,
00153     -0.498937815427780f,
00154   0.467043310403824f, -0.498912662267685f, 0.466660678386688f,
00155     -0.498887240886688f,
00156   0.466278046369553f, -0.498861521482468f, 0.465895414352417f,
00157     -0.498835533857346f,
00158   0.465512841939926f, -0.498809218406677f, 0.465130269527435f,
00159     -0.498782604932785f,
00160   0.464747726917267f, -0.498755723237991f, 0.464365184307098f,
00161     -0.498728543519974f,
00162   0.463982671499252f, -0.498701065778732f, 0.463600188493729f,
00163     -0.498673290014267f,
00164   0.463217705488205f, -0.498645216226578f, 0.462835282087326f,
00165     -0.498616874217987f,
00166   0.462452858686447f, -0.498588204383850f, 0.462070435285568f,
00167     -0.498559266328812f,
00168   0.461688071489334f, -0.498530030250549f, 0.461305707693100f,
00169     -0.498500496149063f,
00170   0.460923373699188f, -0.498470664024353f, 0.460541069507599f,
00171     -0.498440563678741f,
00172   0.460158795118332f, -0.498410135507584f, 0.459776520729065f,
00173     -0.498379439115524f,
00174   0.459394276142120f, -0.498348444700241f, 0.459012061357498f,
00175     -0.498317152261734f,
00176   0.458629876375198f, -0.498285561800003f, 0.458247691392899f,
00177     -0.498253703117371f,
00178   0.457865566015244f, -0.498221516609192f, 0.457483440637589f,
00179     -0.498189061880112f,
00180   0.457101345062256f, -0.498156309127808f, 0.456719279289246f,
00181     -0.498123258352280f,
00182   0.456337243318558f, -0.498089909553528f, 0.455955207347870f,
00183     -0.498056292533875f,
00184   0.455573230981827f, -0.498022347688675f, 0.455191254615784f,
00185     -0.497988134622574f,
00186   0.454809308052063f, -0.497953623533249f, 0.454427421092987f,
00187     -0.497918814420700f,
00188   0.454045534133911f, -0.497883707284927f, 0.453663676977158f,
00189     -0.497848302125931f,
00190   0.453281819820404f, -0.497812628746033f, 0.452900022268295f,
00191     -0.497776657342911f,
00192   0.452518254518509f, -0.497740387916565f, 0.452136516571045f,
00193     -0.497703820466995f,
00194   0.451754778623581f, -0.497666954994202f, 0.451373100280762f,
00195     -0.497629791498184f,
00196   0.450991421937943f, -0.497592359781265f, 0.450609803199768f,
00197     -0.497554630041122f,
00198   0.450228184461594f, -0.497516602277756f, 0.449846625328064f,
00199     -0.497478276491165f,
00200   0.449465066194534f, -0.497439652681351f, 0.449083566665649f,
00201     -0.497400760650635f,
00202   0.448702067136765f, -0.497361570596695f, 0.448320597410202f,
00203     -0.497322082519531f,
00204   0.447939187288284f, -0.497282296419144f, 0.447557777166367f,
00205     -0.497242212295532f,
00206   0.447176426649094f, -0.497201830148697f, 0.446795076131821f,
00207     -0.497161179780960f,
00208   0.446413785219193f, -0.497120231389999f, 0.446032524108887f,
00209     -0.497078984975815f,
00210   0.445651292800903f, -0.497037440538406f, 0.445270061492920f,
00211     -0.496995598077774f,
00212   0.444888889789581f, -0.496953487396240f, 0.444507747888565f,
00213     -0.496911078691483f,
00214   0.444126635789871f, -0.496868371963501f, 0.443745553493500f,
00215     -0.496825367212296f,
00216   0.443364530801773f, -0.496782064437866f, 0.442983508110046f,
00217     -0.496738493442535f,
00218   0.442602545022964f, -0.496694594621658f, 0.442221581935883f,
00219     -0.496650427579880f,
00220   0.441840678453445f, -0.496605962514877f, 0.441459804773331f,
00221     -0.496561229228973f,
00222   0.441078960895538f, -0.496516168117523f, 0.440698176622391f,
00223     -0.496470838785172f,
00224   0.440317392349243f, -0.496425211429596f, 0.439936667680740f,
00225     -0.496379286050797f,
00226   0.439555943012238f, -0.496333062648773f, 0.439175277948380f,
00227     -0.496286571025848f,
00228   0.438794672489166f, -0.496239781379700f, 0.438414067029953f,
00229     -0.496192663908005f,
00230   0.438033521175385f, -0.496145308017731f, 0.437653005123138f,
00231     -0.496097624301910f,
00232   0.437272518873215f, -0.496049642562866f, 0.436892062425613f,
00233     -0.496001392602921f,
00234   0.436511665582657f, -0.495952844619751f, 0.436131268739700f,
00235     -0.495903998613358f,
00236   0.435750931501389f, -0.495854884386063f, 0.435370653867722f,
00237     -0.495805442333221f,
00238   0.434990376234055f, -0.495755732059479f, 0.434610158205032f,
00239     -0.495705723762512f,
00240   0.434229999780655f, -0.495655417442322f, 0.433849841356277f,
00241     -0.495604842901230f,
00242   0.433469742536545f, -0.495553970336914f, 0.433089673519135f,
00243     -0.495502769947052f,
00244   0.432709634304047f, -0.495451331138611f, 0.432329654693604f,
00245     -0.495399564504623f,
00246   0.431949704885483f, -0.495347499847412f, 0.431569814682007f,
00247     -0.495295166969299f,
00248   0.431189924478531f, -0.495242536067963f, 0.430810123682022f,
00249     -0.495189607143402f,
00250   0.430430322885513f, -0.495136409997940f, 0.430050581693649f,
00251     -0.495082914829254f,
00252   0.429670870304108f, -0.495029091835022f, 0.429291218519211f,
00253     -0.494975030422211f,
00254   0.428911596536636f, -0.494920641183853f, 0.428532034158707f,
00255     -0.494865983724594f,
00256   0.428152471780777f, -0.494810998439789f, 0.427772998809814f,
00257     -0.494755744934082f,
00258   0.427393525838852f, -0.494700223207474f, 0.427014142274857f,
00259     -0.494644373655319f,
00260   0.426634758710861f, -0.494588255882263f, 0.426255434751511f,
00261     -0.494531840085983f,
00262   0.425876170396805f, -0.494475126266479f, 0.425496935844421f,
00263     -0.494418144226074f,
00264   0.425117731094360f, -0.494360834360123f, 0.424738585948944f,
00265     -0.494303256273270f,
00266   0.424359470605850f, -0.494245409965515f, 0.423980414867401f,
00267     -0.494187235832214f,
00268   0.423601418733597f, -0.494128793478012f, 0.423222452402115f,
00269     -0.494070053100586f,
00270   0.422843515872955f, -0.494011014699936f, 0.422464638948441f,
00271     -0.493951678276062f,
00272   0.422085791826248f, -0.493892073631287f, 0.421707004308701f,
00273     -0.493832170963287f,
00274   0.421328276395798f, -0.493771970272064f, 0.420949578285217f,
00275     -0.493711471557617f,
00276   0.420570939779282f, -0.493650704622269f, 0.420192331075668f,
00277     -0.493589639663696f,
00278   0.419813781976700f, -0.493528276681900f, 0.419435262680054f,
00279     -0.493466645479202f,
00280   0.419056802988052f, -0.493404686450958f, 0.418678402900696f,
00281     -0.493342459201813f,
00282   0.418300032615662f, -0.493279963731766f, 0.417921721935272f,
00283     -0.493217140436172f,
00284   0.417543441057205f, -0.493154048919678f, 0.417165219783783f,
00285     -0.493090659379959f,
00286   0.416787058115005f, -0.493026971817017f, 0.416408926248550f,
00287     -0.492963016033173f,
00288   0.416030853986740f, -0.492898762226105f, 0.415652841329575f,
00289     -0.492834210395813f,
00290   0.415274858474731f, -0.492769360542297f, 0.414896935224533f,
00291     -0.492704242467880f,
00292   0.414519041776657f, -0.492638826370239f, 0.414141237735748f,
00293     -0.492573112249374f,
00294   0.413763463497162f, -0.492507129907608f, 0.413385748863220f,
00295     -0.492440819740295f,
00296   0.413008064031601f, -0.492374241352081f, 0.412630438804626f,
00297     -0.492307394742966f,
00298   0.412252873182297f, -0.492240220308304f, 0.411875367164612f,
00299     -0.492172777652740f,
00300   0.411497890949249f, -0.492105036973953f, 0.411120474338531f,
00301     -0.492037028074265f,
00302   0.410743117332459f, -0.491968721151352f, 0.410365819931030f,
00303     -0.491900116205215f,
00304   0.409988552331924f, -0.491831213235855f, 0.409611344337463f,
00305     -0.491762012243271f,
00306   0.409234195947647f, -0.491692543029785f, 0.408857107162476f,
00307     -0.491622805595398f,
00308   0.408480048179626f, -0.491552740335464f, 0.408103078603745f,
00309     -0.491482406854630f,
00310   0.407726138830185f, -0.491411775350571f, 0.407349258661270f,
00311     -0.491340845823288f,
00312   0.406972438097000f, -0.491269648075104f, 0.406595647335052f,
00313     -0.491198152303696f,
00314   0.406218945980072f, -0.491126358509064f, 0.405842274427414f,
00315     -0.491054296493530f,
00316   0.405465662479401f, -0.490981936454773f, 0.405089110136032f,
00317     -0.490909278392792f,
00318   0.404712617397308f, -0.490836352109909f, 0.404336184263229f,
00319     -0.490763127803802f,
00320   0.403959810733795f, -0.490689605474472f, 0.403583467006683f,
00321     -0.490615785121918f,
00322   0.403207212686539f, -0.490541696548462f, 0.402830988168716f,
00323     -0.490467309951782f,
00324   0.402454853057861f, -0.490392625331879f, 0.402078747749329f,
00325     -0.490317672491074f,
00326   0.401702702045441f, -0.490242421627045f, 0.401326715946198f,
00327     -0.490166902542114f,
00328   0.400950789451599f, -0.490091055631638f, 0.400574922561646f,
00329     -0.490014940500259f,
00330   0.400199115276337f, -0.489938557147980f, 0.399823367595673f,
00331     -0.489861875772476f,
00332   0.399447679519653f, -0.489784896373749f, 0.399072051048279f,
00333     -0.489707618951797f,
00334   0.398696482181549f, -0.489630073308945f, 0.398320972919464f,
00335     -0.489552229642868f,
00336   0.397945523262024f, -0.489474087953568f, 0.397570133209229f,
00337     -0.489395678043365f,
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00339     -0.489237964153290f,
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04065     0.498559266328812f,
04066   0.462452858686447f, 0.498588204383850f, 0.462835282087326f,
04067     0.498616874217987f,
04068   0.463217705488205f, 0.498645216226578f, 0.463600188493729f,
04069     0.498673290014267f,
04070   0.463982671499252f, 0.498701065778732f, 0.464365184307098f,
04071     0.498728543519974f,
04072   0.464747726917267f, 0.498755723237991f, 0.465130269527435f,
04073     0.498782604932785f,
04074   0.465512841939926f, 0.498809218406677f, 0.465895414352417f,
04075     0.498835533857346f,
04076   0.466278046369553f, 0.498861521482468f, 0.466660678386688f,
04077     0.498887240886688f,
04078   0.467043310403824f, 0.498912662267685f, 0.467426002025604f,
04079     0.498937815427780f,
04080   0.467808693647385f, 0.498962640762329f, 0.468191385269165f,
04081     0.498987197875977f,
04082   0.468574106693268f, 0.499011427164078f, 0.468956857919693f,
04083     0.499035388231277f,
04084   0.469339638948441f, 0.499059051275253f, 0.469722419977188f,
04085     0.499082416296005f,
04086   0.470105201005936f, 0.499105513095856f, 0.470488041639328f,
04087     0.499128282070160f,
04088   0.470870882272720f, 0.499150782823563f, 0.471253722906113f,
04089     0.499172955751419f,
04090   0.471636593341827f, 0.499194860458374f, 0.472019463777542f,
04091     0.499216467142105f,
04092   0.472402364015579f, 0.499237775802612f, 0.472785294055939f,
04093     0.499258816242218f,
04094   0.473168224096298f, 0.499279528856277f, 0.473551183938980f,
04095     0.499299973249435f,
04096   0.473934143781662f, 0.499320119619370f, 0.474317133426666f,
04097     0.499339967966080f,
04098   0.474700123071671f, 0.499359518289566f, 0.475083142518997f,
04099     0.499378770589828f,
04100   0.475466161966324f, 0.499397724866867f, 0.475849211215973f,
04101     0.499416410923004f,
04102   0.476232260465622f, 0.499434769153595f, 0.476615339517593f,
04103     0.499452859163284f,
04104   0.476998418569565f, 0.499470651149750f, 0.477381497621536f,
04105     0.499488145112991f,
04106   0.477764606475830f, 0.499505341053009f, 0.478147745132446f,
04107     0.499522238969803f,
04108   0.478530883789063f, 0.499538868665695f, 0.478914022445679f,
04109     0.499555170536041f,
04110   0.479297190904617f, 0.499571204185486f, 0.479680359363556f,
04111     0.499586939811707f,
04112   0.480063527822495f, 0.499602377414703f, 0.480446726083755f,
04113     0.499617516994476f,
04114   0.480829954147339f, 0.499632388353348f, 0.481213152408600f,
04115     0.499646931886673f,
04116   0.481596380472183f, 0.499661177396774f, 0.481979638338089f,
04117     0.499675154685974f,
04118   0.482362866401672f, 0.499688833951950f, 0.482746154069901f,
04119     0.499702215194702f,
04120   0.483129411935806f, 0.499715298414230f, 0.483512699604034f,
04121     0.499728083610535f,
04122   0.483895987272263f, 0.499740600585938f, 0.484279274940491f,
04123     0.499752789735794f,
04124   0.484662592411041f, 0.499764710664749f, 0.485045909881592f,
04125     0.499776333570480f,
04126   0.485429257154465f, 0.499787658452988f, 0.485812574625015f,
04127     0.499798685312271f,
04128   0.486195921897888f, 0.499809414148331f, 0.486579269170761f,
04129     0.499819844961166f,
04130   0.486962646245956f, 0.499830007553101f, 0.487346023321152f,
04131     0.499839842319489f,
04132   0.487729400396347f, 0.499849408864975f, 0.488112777471542f,
04133     0.499858677387238f,
04134   0.488496154546738f, 0.499867647886276f, 0.488879561424255f,
04135     0.499876320362091f,
04136   0.489262968301773f, 0.499884694814682f, 0.489646375179291f,
04137     0.499892801046371f,
04138   0.490029782056808f, 0.499900579452515f, 0.490413218736649f,
04139     0.499908089637756f,
04140   0.490796625614166f, 0.499915301799774f, 0.491180062294006f,
04141     0.499922215938568f,
04142   0.491563498973846f, 0.499928832054138f, 0.491946935653687f,
04143     0.499935150146484f,
04144   0.492330402135849f, 0.499941170215607f, 0.492713838815689f,
04145     0.499946922063828f,
04146   0.493097305297852f, 0.499952346086502f, 0.493480771780014f,
04147     0.499957501888275f,
04148   0.493864238262177f, 0.499962359666824f, 0.494247704744339f,
04149     0.499966919422150f,
04150   0.494631171226501f, 0.499971181154251f, 0.495014637708664f,
04151     0.499975144863129f,
04152   0.495398133993149f, 0.499978810548782f, 0.495781600475311f,
04153     0.499982208013535f,
04154   0.496165096759796f, 0.499985307455063f, 0.496548563241959f,
04155     0.499988079071045f,
04156   0.496932059526443f, 0.499990582466125f, 0.497315555810928f,
04157     0.499992787837982f,
04158   0.497699022293091f, 0.499994695186615f, 0.498082518577576f,
04159     0.499996334314346f,
04160   0.498466014862061f, 0.499997645616531f, 0.498849511146545f,
04161     0.499998688697815f,
04162   0.499233007431030f, 0.499999403953552f, 0.499616503715515f,
04163     0.499999850988388f,
04164 };
04165 
04166 
04167 /**    
04168 * \par   
04169 * Generation of realCoefB array:    
04170 * \par   
04171 * n = 4096    
04172 * <pre>for (i = 0; i < n; i++)    
04173 * {    
04174 *    pBTable[2 * i] = 0.5 * (1.0 + sin (2 * PI / (double) (2 * n) * (double) i));    
04175 *    pBTable[2 * i + 1] = 0.5 * (1.0 * cos (2 * PI / (double) (2 * n) * (double) i));    
04176 *  } </pre>    
04177 *    
04178 */
04179 static const float32_t realCoefB [8192] = {
04180   0.500000000000000f, 0.500000000000000f, 0.500383496284485f,
04181     0.499999850988388f,
04182   0.500766992568970f, 0.499999403953552f, 0.501150488853455f,
04183     0.499998688697815f,
04184   0.501533985137939f, 0.499997645616531f, 0.501917481422424f,
04185     0.499996334314346f,
04186   0.502300977706909f, 0.499994695186615f, 0.502684473991394f,
04187     0.499992787837982f,
04188   0.503067970275879f, 0.499990582466125f, 0.503451406955719f,
04189     0.499988079071045f,
04190   0.503834903240204f, 0.499985307455063f, 0.504218399524689f,
04191     0.499982208013535f,
04192   0.504601895809174f, 0.499978810548782f, 0.504985332489014f,
04193     0.499975144863129f,
04194   0.505368828773499f, 0.499971181154251f, 0.505752325057983f,
04195     0.499966919422150f,
04196   0.506135761737823f, 0.499962359666824f, 0.506519258022308f,
04197     0.499957501888275f,
04198   0.506902694702148f, 0.499952346086502f, 0.507286131381989f,
04199     0.499946922063828f,
04200   0.507669627666473f, 0.499941170215607f, 0.508053064346313f,
04201     0.499935150146484f,
04202   0.508436501026154f, 0.499928832054138f, 0.508819937705994f,
04203     0.499922215938568f,
04204   0.509203374385834f, 0.499915301799774f, 0.509586811065674f,
04205     0.499908089637756f,
04206   0.509970188140869f, 0.499900579452515f, 0.510353624820709f,
04207     0.499892801046371f,
04208   0.510737061500549f, 0.499884694814682f, 0.511120438575745f,
04209     0.499876320362091f,
04210   0.511503815650940f, 0.499867647886276f, 0.511887252330780f,
04211     0.499858677387238f,
04212   0.512270629405975f, 0.499849408864975f, 0.512654006481171f,
04213     0.499839842319489f,
04214   0.513037383556366f, 0.499830007553101f, 0.513420701026917f,
04215     0.499819844961166f,
04216   0.513804078102112f, 0.499809414148331f, 0.514187395572662f,
04217     0.499798685312271f,
04218   0.514570772647858f, 0.499787658452988f, 0.514954090118408f,
04219     0.499776333570480f,
04220   0.515337407588959f, 0.499764710664749f, 0.515720725059509f,
04221     0.499752789735794f,
04222   0.516103982925415f, 0.499740600585938f, 0.516487300395966f,
04223     0.499728083610535f,
04224   0.516870558261871f, 0.499715298414230f, 0.517253875732422f,
04225     0.499702215194702f,
04226   0.517637133598328f, 0.499688833951950f, 0.518020391464233f,
04227     0.499675154685974f,
04228   0.518403589725494f, 0.499661177396774f, 0.518786847591400f,
04229     0.499646931886673f,
04230   0.519170045852661f, 0.499632388353348f, 0.519553244113922f,
04231     0.499617516994476f,
04232   0.519936442375183f, 0.499602377414703f, 0.520319640636444f,
04233     0.499586939811707f,
04234   0.520702838897705f, 0.499571204185486f, 0.521085977554321f,
04235     0.499555170536041f,
04236   0.521469116210938f, 0.499538868665695f, 0.521852254867554f,
04237     0.499522238969803f,
04238   0.522235393524170f, 0.499505341053009f, 0.522618472576141f,
04239     0.499488145112991f,
04240   0.523001611232758f, 0.499470651149750f, 0.523384690284729f,
04241     0.499452859163284f,
04242   0.523767769336700f, 0.499434769153595f, 0.524150788784027f,
04243     0.499416410923004f,
04244   0.524533808231354f, 0.499397724866867f, 0.524916887283325f,
04245     0.499378770589828f,
04246   0.525299847126007f, 0.499359518289566f, 0.525682866573334f,
04247     0.499339967966080f,
04248   0.526065826416016f, 0.499320119619370f, 0.526448845863342f,
04249     0.499299973249435f,
04250   0.526831746101379f, 0.499279528856277f, 0.527214705944061f,
04251     0.499258816242218f,
04252   0.527597606182098f, 0.499237775802612f, 0.527980506420136f,
04253     0.499216467142105f,
04254   0.528363406658173f, 0.499194860458374f, 0.528746306896210f,
04255     0.499172955751419f,
04256   0.529129147529602f, 0.499150782823563f, 0.529511988162994f,
04257     0.499128282070160f,
04258   0.529894769191742f, 0.499105513095856f, 0.530277609825134f,
04259     0.499082416296005f,
04260   0.530660390853882f, 0.499059051275253f, 0.531043112277985f,
04261     0.499035388231277f,
04262   0.531425893306732f, 0.499011427164078f, 0.531808614730835f,
04263     0.498987197875977f,
04264   0.532191336154938f, 0.498962640762329f, 0.532573997974396f,
04265     0.498937815427780f,
04266   0.532956659793854f, 0.498912662267685f, 0.533339321613312f,
04267     0.498887240886688f,
04268   0.533721983432770f, 0.498861521482468f, 0.534104585647583f,
04269     0.498835533857346f,
04270   0.534487187862396f, 0.498809218406677f, 0.534869730472565f,
04271     0.498782604932785f,
04272   0.535252273082733f, 0.498755723237991f, 0.535634815692902f,
04273     0.498728543519974f,
04274   0.536017298698425f, 0.498701065778732f, 0.536399841308594f,
04275     0.498673290014267f,
04276   0.536782264709473f, 0.498645216226578f, 0.537164747714996f,
04277     0.498616874217987f,
04278   0.537547171115875f, 0.498588204383850f, 0.537929534912109f,
04279     0.498559266328812f,
04280   0.538311958312988f, 0.498530030250549f, 0.538694262504578f,
04281     0.498500496149063f,
04282   0.539076626300812f, 0.498470664024353f, 0.539458930492401f,
04283     0.498440563678741f,
04284   0.539841234683990f, 0.498410135507584f, 0.540223479270935f,
04285     0.498379439115524f,
04286   0.540605723857880f, 0.498348444700241f, 0.540987968444824f,
04287     0.498317152261734f,
04288   0.541370153427124f, 0.498285561800003f, 0.541752278804779f,
04289     0.498253703117371f,
04290   0.542134463787079f, 0.498221516609192f, 0.542516589164734f,
04291     0.498189061880112f,
04292   0.542898654937744f, 0.498156309127808f, 0.543280720710754f,
04293     0.498123258352280f,
04294   0.543662786483765f, 0.498089909553528f, 0.544044792652130f,
04295     0.498056292533875f,
04296   0.544426798820496f, 0.498022347688675f, 0.544808745384216f,
04297     0.497988134622574f,
04298   0.545190691947937f, 0.497953623533249f, 0.545572578907013f,
04299     0.497918814420700f,
04300   0.545954465866089f, 0.497883707284927f, 0.546336352825165f,
04301     0.497848302125931f,
04302   0.546718180179596f, 0.497812628746033f, 0.547099947929382f,
04303     0.497776657342911f,
04304   0.547481775283813f, 0.497740387916565f, 0.547863483428955f,
04305     0.497703820466995f,
04306   0.548245191574097f, 0.497666954994202f, 0.548626899719238f,
04307     0.497629791498184f,
04308   0.549008548259735f, 0.497592359781265f, 0.549390196800232f,
04309     0.497554630041122f,
04310   0.549771785736084f, 0.497516602277756f, 0.550153374671936f,
04311     0.497478276491165f,
04312   0.550534904003143f, 0.497439652681351f, 0.550916433334351f,
04313     0.497400760650635f,
04314   0.551297962665558f, 0.497361570596695f, 0.551679372787476f,
04315     0.497322082519531f,
04316   0.552060842514038f, 0.497282296419144f, 0.552442193031311f,
04317     0.497242212295532f,
04318   0.552823603153229f, 0.497201830148697f, 0.553204894065857f,
04319     0.497161179780960f,
04320   0.553586184978485f, 0.497120231389999f, 0.553967475891113f,
04321     0.497078984975815f,
04322   0.554348707199097f, 0.497037440538406f, 0.554729938507080f,
04323     0.496995598077774f,
04324   0.555111110210419f, 0.496953487396240f, 0.555492222309113f,
04325     0.496911078691483f,
04326   0.555873334407806f, 0.496868371963501f, 0.556254446506500f,
04327     0.496825367212296f,
04328   0.556635499000549f, 0.496782064437866f, 0.557016491889954f,
04329     0.496738493442535f,
04330   0.557397484779358f, 0.496694594621658f, 0.557778418064117f,
04331     0.496650427579880f,
04332   0.558159291744232f, 0.496605962514877f, 0.558540165424347f,
04333     0.496561229228973f,
04334   0.558921039104462f, 0.496516168117523f, 0.559301853179932f,
04335     0.496470838785172f,
04336   0.559682607650757f, 0.496425211429596f, 0.560063362121582f,
04337     0.496379286050797f,
04338   0.560444056987762f, 0.496333062648773f, 0.560824692249298f,
04339     0.496286571025848f,
04340   0.561205327510834f, 0.496239781379700f, 0.561585903167725f,
04341     0.496192663908005f,
04342   0.561966478824615f, 0.496145308017731f, 0.562346994876862f,
04343     0.496097624301910f,
04344   0.562727510929108f, 0.496049642562866f, 0.563107967376709f,
04345     0.496001392602921f,
04346   0.563488364219666f, 0.495952844619751f, 0.563868701457977f,
04347     0.495903998613358f,
04348   0.564249038696289f, 0.495854884386063f, 0.564629375934601f,
04349     0.495805442333221f,
04350   0.565009593963623f, 0.495755732059479f, 0.565389811992645f,
04351     0.495705723762512f,
04352   0.565770030021667f, 0.495655417442322f, 0.566150128841400f,
04353     0.495604842901230f,
04354   0.566530287265778f, 0.495553970336914f, 0.566910326480865f,
04355     0.495502769947052f,
04356   0.567290365695953f, 0.495451331138611f, 0.567670345306396f,
04357     0.495399564504623f,
04358   0.568050265312195f, 0.495347499847412f, 0.568430185317993f,
04359     0.495295166969299f,
04360   0.568810045719147f, 0.495242536067963f, 0.569189906120300f,
04361     0.495189607143402f,
04362   0.569569647312164f, 0.495136409997940f, 0.569949388504028f,
04363     0.495082914829254f,
04364   0.570329129695892f, 0.495029091835022f, 0.570708811283112f,
04365     0.494975030422211f,
04366   0.571088373661041f, 0.494920641183853f, 0.571467995643616f,
04367     0.494865983724594f,
04368   0.571847498416901f, 0.494810998439789f, 0.572227001190186f,
04369     0.494755744934082f,
04370   0.572606444358826f, 0.494700223207474f, 0.572985887527466f,
04371     0.494644373655319f,
04372   0.573365211486816f, 0.494588255882263f, 0.573744535446167f,
04373     0.494531840085983f,
04374   0.574123859405518f, 0.494475126266479f, 0.574503064155579f,
04375     0.494418144226074f,
04376   0.574882268905640f, 0.494360834360123f, 0.575261414051056f,
04377     0.494303256273270f,
04378   0.575640499591827f, 0.494245409965515f, 0.576019585132599f,
04379     0.494187235832214f,
04380   0.576398611068726f, 0.494128793478012f, 0.576777577400208f,
04381     0.494070053100586f,
04382   0.577156484127045f, 0.494011014699936f, 0.577535390853882f,
04383     0.493951678276062f,
04384   0.577914178371429f, 0.493892073631287f, 0.578292965888977f,
04385     0.493832170963287f,
04386   0.578671753406525f, 0.493771970272064f, 0.579050421714783f,
04387     0.493711471557617f,
04388   0.579429090023041f, 0.493650704622269f, 0.579807698726654f,
04389     0.493589639663696f,
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08084   0.573365211486816f, -0.494588255882263f, 0.572985887527466f,
08085     -0.494644373655319f,
08086   0.572606444358826f, -0.494700223207474f, 0.572227001190186f,
08087     -0.494755744934082f,
08088   0.571847498416901f, -0.494810998439789f, 0.571467995643616f,
08089     -0.494865983724594f,
08090   0.571088373661041f, -0.494920641183853f, 0.570708811283112f,
08091     -0.494975030422211f,
08092   0.570329129695892f, -0.495029091835022f, 0.569949388504028f,
08093     -0.495082914829254f,
08094   0.569569647312164f, -0.495136409997940f, 0.569189906120300f,
08095     -0.495189607143402f,
08096   0.568810045719147f, -0.495242536067963f, 0.568430185317993f,
08097     -0.495295166969299f,
08098   0.568050265312195f, -0.495347499847412f, 0.567670345306396f,
08099     -0.495399564504623f,
08100   0.567290365695953f, -0.495451331138611f, 0.566910326480865f,
08101     -0.495502769947052f,
08102   0.566530287265778f, -0.495553970336914f, 0.566150128841400f,
08103     -0.495604842901230f,
08104   0.565770030021667f, -0.495655417442322f, 0.565389811992645f,
08105     -0.495705723762512f,
08106   0.565009593963623f, -0.495755732059479f, 0.564629375934601f,
08107     -0.495805442333221f,
08108   0.564249038696289f, -0.495854884386063f, 0.563868701457977f,
08109     -0.495903998613358f,
08110   0.563488364219666f, -0.495952844619751f, 0.563107967376709f,
08111     -0.496001392602921f,
08112   0.562727510929108f, -0.496049642562866f, 0.562346994876862f,
08113     -0.496097624301910f,
08114   0.561966478824615f, -0.496145308017731f, 0.561585903167725f,
08115     -0.496192663908005f,
08116   0.561205327510834f, -0.496239781379700f, 0.560824692249298f,
08117     -0.496286571025848f,
08118   0.560444056987762f, -0.496333062648773f, 0.560063362121582f,
08119     -0.496379286050797f,
08120   0.559682607650757f, -0.496425211429596f, 0.559301853179932f,
08121     -0.496470838785172f,
08122   0.558921039104462f, -0.496516168117523f, 0.558540165424347f,
08123     -0.496561229228973f,
08124   0.558159291744232f, -0.496605962514877f, 0.557778418064117f,
08125     -0.496650427579880f,
08126   0.557397484779358f, -0.496694594621658f, 0.557016491889954f,
08127     -0.496738493442535f,
08128   0.556635499000549f, -0.496782064437866f, 0.556254446506500f,
08129     -0.496825367212296f,
08130   0.555873334407806f, -0.496868371963501f, 0.555492222309113f,
08131     -0.496911078691483f,
08132   0.555111110210419f, -0.496953487396240f, 0.554729938507080f,
08133     -0.496995598077774f,
08134   0.554348707199097f, -0.497037440538406f, 0.553967475891113f,
08135     -0.497078984975815f,
08136   0.553586184978485f, -0.497120231389999f, 0.553204894065857f,
08137     -0.497161179780960f,
08138   0.552823603153229f, -0.497201830148697f, 0.552442193031311f,
08139     -0.497242212295532f,
08140   0.552060842514038f, -0.497282296419144f, 0.551679372787476f,
08141     -0.497322082519531f,
08142   0.551297962665558f, -0.497361570596695f, 0.550916433334351f,
08143     -0.497400760650635f,
08144   0.550534904003143f, -0.497439652681351f, 0.550153374671936f,
08145     -0.497478276491165f,
08146   0.549771785736084f, -0.497516602277756f, 0.549390196800232f,
08147     -0.497554630041122f,
08148   0.549008548259735f, -0.497592359781265f, 0.548626899719238f,
08149     -0.497629791498184f,
08150   0.548245191574097f, -0.497666954994202f, 0.547863483428955f,
08151     -0.497703820466995f,
08152   0.547481775283813f, -0.497740387916565f, 0.547099947929382f,
08153     -0.497776657342911f,
08154   0.546718180179596f, -0.497812628746033f, 0.546336352825165f,
08155     -0.497848302125931f,
08156   0.545954465866089f, -0.497883707284927f, 0.545572578907013f,
08157     -0.497918814420700f,
08158   0.545190691947937f, -0.497953623533249f, 0.544808745384216f,
08159     -0.497988134622574f,
08160   0.544426798820496f, -0.498022347688675f, 0.544044792652130f,
08161     -0.498056292533875f,
08162   0.543662786483765f, -0.498089909553528f, 0.543280720710754f,
08163     -0.498123258352280f,
08164   0.542898654937744f, -0.498156309127808f, 0.542516589164734f,
08165     -0.498189061880112f,
08166   0.542134463787079f, -0.498221516609192f, 0.541752278804779f,
08167     -0.498253703117371f,
08168   0.541370153427124f, -0.498285561800003f, 0.540987968444824f,
08169     -0.498317152261734f,
08170   0.540605723857880f, -0.498348444700241f, 0.540223479270935f,
08171     -0.498379439115524f,
08172   0.539841234683990f, -0.498410135507584f, 0.539458930492401f,
08173     -0.498440563678741f,
08174   0.539076626300812f, -0.498470664024353f, 0.538694262504578f,
08175     -0.498500496149063f,
08176   0.538311958312988f, -0.498530030250549f, 0.537929534912109f,
08177     -0.498559266328812f,
08178   0.537547171115875f, -0.498588204383850f, 0.537164747714996f,
08179     -0.498616874217987f,
08180   0.536782264709473f, -0.498645216226578f, 0.536399841308594f,
08181     -0.498673290014267f,
08182   0.536017298698425f, -0.498701065778732f, 0.535634815692902f,
08183     -0.498728543519974f,
08184   0.535252273082733f, -0.498755723237991f, 0.534869730472565f,
08185     -0.498782604932785f,
08186   0.534487187862396f, -0.498809218406677f, 0.534104585647583f,
08187     -0.498835533857346f,
08188   0.533721983432770f, -0.498861521482468f, 0.533339321613312f,
08189     -0.498887240886688f,
08190   0.532956659793854f, -0.498912662267685f, 0.532573997974396f,
08191     -0.498937815427780f,
08192   0.532191336154938f, -0.498962640762329f, 0.531808614730835f,
08193     -0.498987197875977f,
08194   0.531425893306732f, -0.499011427164078f, 0.531043112277985f,
08195     -0.499035388231277f,
08196   0.530660390853882f, -0.499059051275253f, 0.530277609825134f,
08197     -0.499082416296005f,
08198   0.529894769191742f, -0.499105513095856f, 0.529511988162994f,
08199     -0.499128282070160f,
08200   0.529129147529602f, -0.499150782823563f, 0.528746306896210f,
08201     -0.499172955751419f,
08202   0.528363406658173f, -0.499194860458374f, 0.527980506420136f,
08203     -0.499216467142105f,
08204   0.527597606182098f, -0.499237775802612f, 0.527214705944061f,
08205     -0.499258816242218f,
08206   0.526831746101379f, -0.499279528856277f, 0.526448845863342f,
08207     -0.499299973249435f,
08208   0.526065826416016f, -0.499320119619370f, 0.525682866573334f,
08209     -0.499339967966080f,
08210   0.525299847126007f, -0.499359518289566f, 0.524916887283325f,
08211     -0.499378770589828f,
08212   0.524533808231354f, -0.499397724866867f, 0.524150788784027f,
08213     -0.499416410923004f,
08214   0.523767769336700f, -0.499434769153595f, 0.523384690284729f,
08215     -0.499452859163284f,
08216   0.523001611232758f, -0.499470651149750f, 0.522618472576141f,
08217     -0.499488145112991f,
08218   0.522235393524170f, -0.499505341053009f, 0.521852254867554f,
08219     -0.499522238969803f,
08220   0.521469116210938f, -0.499538868665695f, 0.521085977554321f,
08221     -0.499555170536041f,
08222   0.520702838897705f, -0.499571204185486f, 0.520319640636444f,
08223     -0.499586939811707f,
08224   0.519936442375183f, -0.499602377414703f, 0.519553244113922f,
08225     -0.499617516994476f,
08226   0.519170045852661f, -0.499632388353348f, 0.518786847591400f,
08227     -0.499646931886673f,
08228   0.518403589725494f, -0.499661177396774f, 0.518020391464233f,
08229     -0.499675154685974f,
08230   0.517637133598328f, -0.499688833951950f, 0.517253875732422f,
08231     -0.499702215194702f,
08232   0.516870558261871f, -0.499715298414230f, 0.516487300395966f,
08233     -0.499728083610535f,
08234   0.516103982925415f, -0.499740600585938f, 0.515720725059509f,
08235     -0.499752789735794f,
08236   0.515337407588959f, -0.499764710664749f, 0.514954090118408f,
08237     -0.499776333570480f,
08238   0.514570772647858f, -0.499787658452988f, 0.514187395572662f,
08239     -0.499798685312271f,
08240   0.513804078102112f, -0.499809414148331f, 0.513420701026917f,
08241     -0.499819844961166f,
08242   0.513037383556366f, -0.499830007553101f, 0.512654006481171f,
08243     -0.499839842319489f,
08244   0.512270629405975f, -0.499849408864975f, 0.511887252330780f,
08245     -0.499858677387238f,
08246   0.511503815650940f, -0.499867647886276f, 0.511120438575745f,
08247     -0.499876320362091f,
08248   0.510737061500549f, -0.499884694814682f, 0.510353624820709f,
08249     -0.499892801046371f,
08250   0.509970188140869f, -0.499900579452515f, 0.509586811065674f,
08251     -0.499908089637756f,
08252   0.509203374385834f, -0.499915301799774f, 0.508819937705994f,
08253     -0.499922215938568f,
08254   0.508436501026154f, -0.499928832054138f, 0.508053064346313f,
08255     -0.499935150146484f,
08256   0.507669627666473f, -0.499941170215607f, 0.507286131381989f,
08257     -0.499946922063828f,
08258   0.506902694702148f, -0.499952346086502f, 0.506519258022308f,
08259     -0.499957501888275f,
08260   0.506135761737823f, -0.499962359666824f, 0.505752325057983f,
08261     -0.499966919422150f,
08262   0.505368828773499f, -0.499971181154251f, 0.504985332489014f,
08263     -0.499975144863129f,
08264   0.504601895809174f, -0.499978810548782f, 0.504218399524689f,
08265     -0.499982208013535f,
08266   0.503834903240204f, -0.499985307455063f, 0.503451406955719f,
08267     -0.499988079071045f,
08268   0.503067970275879f, -0.499990582466125f, 0.502684473991394f,
08269     -0.499992787837982f,
08270   0.502300977706909f, -0.499994695186615f, 0.501917481422424f,
08271     -0.499996334314346f,
08272   0.501533985137939f, -0.499997645616531f, 0.501150488853455f,
08273     -0.499998688697815f,
08274   0.500766992568970f, -0.499999403953552f, 0.500383496284485f,
08275     -0.499999850988388f,
08276 };
08277 
08278 
08279 
08280 /**    
08281 * @brief  Initialization function for the floating-point RFFT/RIFFT.   
08282 * @deprecated Do not use this function.  It has been superceded by \ref arm_rfft_fast_init_f32 and will be removed
08283 * in the future.
08284 * @param[in,out] *S             points to an instance of the floating-point RFFT/RIFFT structure.   
08285 * @param[in,out] *S_CFFT        points to an instance of the floating-point CFFT/CIFFT structure.   
08286 * @param[in]     fftLenReal     length of the FFT.   
08287 * @param[in]     ifftFlagR      flag that selects forward (ifftFlagR=0) or inverse (ifftFlagR=1) transform.   
08288 * @param[in]     bitReverseFlag flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output.   
08289 * @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.   
08290 *    
08291 * \par Description:   
08292 * \par   
08293 * The parameter <code>fftLenReal</code> Specifies length of RFFT/RIFFT Process. Supported FFT Lengths are 128, 512, 2048.    
08294 * \par    
08295 * The parameter <code>ifftFlagR</code> controls whether a forward or inverse transform is computed.    
08296 * Set(=1) ifftFlagR to calculate RIFFT, otherwise RFFT is calculated.    
08297 * \par    
08298 * The parameter <code>bitReverseFlag</code> controls whether output is in normal order or bit reversed order.    
08299 * Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order.   
08300 * \par    
08301 * This function also initializes Twiddle factor table.     
08302 */
08303 
08304 arm_status arm_rfft_init_f32(
08305   arm_rfft_instance_f32 * S,
08306   arm_cfft_radix4_instance_f32 * S_CFFT,
08307   uint32_t fftLenReal,
08308   uint32_t ifftFlagR,
08309   uint32_t bitReverseFlag)
08310 {
08311 
08312   /*  Initialise the default arm status */
08313   arm_status status = ARM_MATH_SUCCESS;
08314 
08315   /*  Initialize the Real FFT length */
08316   S->fftLenReal = (uint16_t) fftLenReal;
08317 
08318   /*  Initialize the Complex FFT length */
08319   S->fftLenBy2 = (uint16_t) fftLenReal / 2u;
08320 
08321   /*  Initialize the Twiddle coefficientA pointer */
08322   S->pTwiddleAReal = (float32_t *) realCoefA ;
08323 
08324   /*  Initialize the Twiddle coefficientB pointer */
08325   S->pTwiddleBReal = (float32_t *) realCoefB ;
08326 
08327   /*  Initialize the Flag for selection of RFFT or RIFFT */
08328   S->ifftFlagR = (uint8_t) ifftFlagR;
08329 
08330   /*  Initialize the Flag for calculation Bit reversal or not */
08331   S->bitReverseFlagR = (uint8_t) bitReverseFlag;
08332 
08333   /*  Initializations of structure parameters depending on the FFT length */
08334   switch (S->fftLenReal)
08335   {
08336     /* Init table modifier value */
08337   case 8192u:
08338     S->twidCoefRModifier = 1u;
08339     break;
08340   case 2048u:
08341     S->twidCoefRModifier = 4u;
08342     break;
08343   case 512u:
08344     S->twidCoefRModifier = 16u;
08345     break;
08346   case 128u:
08347     S->twidCoefRModifier = 64u;
08348     break;
08349   default:
08350     /*  Reporting argument error if rfftSize is not valid value */
08351     status = ARM_MATH_ARGUMENT_ERROR;
08352     break;
08353   }
08354 
08355   /* Init Complex FFT Instance */
08356   S->pCfft = S_CFFT;
08357 
08358   if(S->ifftFlagR)
08359   {
08360     /* Initializes the CIFFT Module for fftLenreal/2 length */
08361     arm_cfft_radix4_init_f32(S->pCfft, S->fftLenBy2, 1u, 0u);
08362   }
08363   else
08364   {
08365     /* Initializes the CFFT Module for fftLenreal/2 length */
08366     arm_cfft_radix4_init_f32(S->pCfft, S->fftLenBy2, 0u, 0u);
08367   }
08368 
08369   /* return the status of RFFT Init function */
08370   return (status);
08371 
08372 }
08373 
08374   /**    
08375    * @} end of RealFFT group    
08376    */