Cortex-R DSP Software Library: arm_rfft_init

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00001 /* ----------------------------------------------------------------------      
00002 * Copyright (C) 2011 ARM Limited. All rights reserved. 
00003 *      
00004 * $Date:        15. December 2011   
00005 * $Revision:    V2.0.0  
00006 *      
00007 * Project:      Cortex-R DSP Library 
00008 * Title:        arm_rfft_init_f32.c      
00009 *      
00010 * Description:  RFFT & RIFFT Floating point initialisation function      
00011 *      
00012 * Target Processor:          Cortex-R4/R5
00013 *
00014 * Version 1.0.0 2011/03/08
00015 *     Alpha release.
00016 *
00017 * Version 1.0.1 2011/09/30
00018 *     Beta release.
00019 *
00020 * Version 2.0.0 2011/12/15
00021 *     Final release. 
00022 * 
00023 * -------------------------------------------------------------------- */     
00024      
00025 #include "arm_math.h"     
00026      
00050 static const float32_t realCoefA[2048] = {     
00051   0.500000000000000000f, -0.500000000000000000f, 0.498466014862060550f,     
00052   -0.499997645616531370f, 0.496932059526443480f, -0.499990582466125490f,     
00053   0.495398133993148800f, -0.499978810548782350f,     
00054   0.493864238262176510f, -0.499962359666824340f, 0.492330402135849000f,     
00055   -0.499941170215606690f, 0.490796625614166260f, -0.499915301799774170f,     
00056   0.489262968301773070f, -0.499884694814682010f,     
00057   0.487729400396347050f, -0.499849408864974980f, 0.486195921897888180f,     
00058   -0.499809414148330690f, 0.484662592411041260f, -0.499764710664749150f,     
00059   0.483129411935806270f, -0.499715298414230350f,     
00060   0.481596380472183230f, -0.499661177396774290f, 0.480063527822494510f,     
00061   -0.499602377414703370f, 0.478530883789062500f, -0.499538868665695190f,     
00062   0.476998418569564820f, -0.499470651149749760f,     
00063   0.475466161966323850f, -0.499397724866867070f, 0.473934143781661990f,     
00064   -0.499320119619369510f, 0.472402364015579220f, -0.499237775802612300f,     
00065   0.470870882272720340f, -0.499150782823562620f,     
00066   0.469339638948440550f, -0.499059051275253300f, 0.467808693647384640f,     
00067   -0.498962640762329100f, 0.466278046369552610f, -0.498861521482467650f,     
00068   0.464747726917266850f, -0.498755723237991330f,     
00069   0.463217705488204960f, -0.498645216226577760f, 0.461688071489334110f,     
00070   -0.498530030250549320f, 0.460158795118331910f, -0.498410135507583620f,     
00071   0.458629876375198360f, -0.498285561800003050f,     
00072   0.457101345062255860f, -0.498156309127807620f, 0.455573230981826780f,     
00073   -0.498022347688674930f, 0.454045534133911130f, -0.497883707284927370f,     
00074   0.452518254518508910f, -0.497740387916564940f,     
00075   0.450991421937942500f, -0.497592359781265260f, 0.449465066194534300f,     
00076   -0.497439652681350710f, 0.447939187288284300f, -0.497282296419143680f,     
00077   0.446413785219192500f, -0.497120231389999390f,     
00078   0.444888889789581300f, -0.496953487396240230f, 0.443364530801773070f,     
00079   -0.496782064437866210f, 0.441840678453445430f, -0.496605962514877320f,     
00080   0.440317392349243160f, -0.496425211429595950f,     
00081   0.438794672489166260f, -0.496239781379699710f, 0.437272518873214720f,     
00082   -0.496049642562866210f, 0.435750931501388550f, -0.495854884386062620f,     
00083   0.434229999780654910f, -0.495655417442321780f,     
00084   0.432709634304046630f, -0.495451331138610840f, 0.431189924478530880f,     
00085   -0.495242536067962650f, 0.429670870304107670f, -0.495029091835021970f,     
00086   0.428152471780776980f, -0.494810998439788820f,     
00087   0.426634758710861210f, -0.494588255882263180f, 0.425117731094360350f,     
00088   -0.494360834360122680f, 0.423601418733596800f, -0.494128793478012080f,     
00089   0.422085791826248170f, -0.493892073631286620f,     
00090   0.420570939779281620f, -0.493650704622268680f, 0.419056802988052370f,     
00091   -0.493404686450958250f, 0.417543441057205200f, -0.493154048919677730f,     
00092   0.416030853986740110f, -0.492898762226104740f,     
00093   0.414519041776657100f, -0.492638826370239260f, 0.413008064031600950f,     
00094   -0.492374241352081300f, 0.411497890949249270f, -0.492105036973953250f,     
00095   0.409988552331924440f, -0.491831213235855100f,     
00096   0.408480048179626460f, -0.491552740335464480f, 0.406972438097000120f,     
00097   -0.491269648075103760f, 0.405465662479400630f, -0.490981936454772950f,     
00098   0.403959810733795170f, -0.490689605474472050f,     
00099   0.402454853057861330f, -0.490392625331878660f, 0.400950789451599120f,     
00100   -0.490091055631637570f, 0.399447679519653320f, -0.489784896373748780f,     
00101   0.397945523262023930f, -0.489474087953567500f,     
00102   0.396444320678710940f, -0.489158689975738530f, 0.394944071769714360f,     
00103   -0.488838672637939450f, 0.393444836139678960f, -0.488514065742492680f,     
00104   0.391946613788604740f, -0.488184869289398190f,     
00105   0.390449374914169310f, -0.487851053476333620f, 0.388953179121017460f,     
00106   -0.487512677907943730f, 0.387458056211471560f, -0.487169682979583740f,     
00107   0.385963946580886840f, -0.486822128295898440f,     
00108   0.384470939636230470f, -0.486469984054565430f, 0.382979035377502440f,     
00109   -0.486113250255584720f, 0.381488204002380370f, -0.485751956701278690f,     
00110   0.379998475313186650f, -0.485386073589324950f,     
00111   0.378509908914566040f, -0.485015630722045900f, 0.377022475004196170f,     
00112   -0.484640628099441530f, 0.375536203384399410f, -0.484261035919189450f,     
00113   0.374051094055175780f, -0.483876913785934450f,     
00114   0.372567176818847660f, -0.483488231897354130f, 0.371084451675415040f,     
00115   -0.483094990253448490f, 0.369602948427200320f, -0.482697218656539920f,     
00116   0.368122667074203490f, -0.482294887304306030f,     
00117   0.366643607616424560f, -0.481888025999069210f, 0.365165829658508300f,     
00118   -0.481476634740829470f, 0.363689333200454710f, -0.481060713529586790f,     
00119   0.362214088439941410f, -0.480640232563018800f,     
00120   0.360740154981613160f, -0.480215251445770260f, 0.359267532825469970f,     
00121   -0.479785770177841190f, 0.357796221971511840f, -0.479351729154586790f,     
00122   0.356326282024383540f, -0.478913217782974240f,     
00123   0.354857653379440310f, -0.478470176458358760f, 0.353390425443649290f,     
00124   -0.478022634983062740f, 0.351924568414688110f, -0.477570593357086180f,     
00125   0.350460082292556760f, -0.477114051580429080f,     
00126   0.348997026681900020f, -0.476653009653091430f, 0.347535371780395510f,     
00127   -0.476187497377395630f, 0.346075177192687990f, -0.475717514753341670f,     
00128   0.344616413116455080f, -0.475243031978607180f,     
00129   0.343159139156341550f, -0.474764078855514530f, 0.341703325510025020f,     
00130   -0.474280685186386110f, 0.340248972177505490f, -0.473792791366577150f,     
00131   0.338796168565750120f, -0.473300457000732420f,     
00132   0.337344855070114140f, -0.472803652286529540f, 0.335895091295242310f,     
00133   -0.472302407026290890f, 0.334446847438812260f, -0.471796721220016480f,     
00134   0.333000183105468750f, -0.471286594867706300f,     
00135   0.331555068492889400f, -0.470772027969360350f, 0.330111563205718990f,     
00136   -0.470253020524978640f, 0.328669637441635130f, -0.469729602336883540f,     
00137   0.327229350805282590f, -0.469201773405075070f,     
00138   0.325790673494338990f, -0.468669503927230830f, 0.324353635311126710f,     
00139   -0.468132823705673220f, 0.322918236255645750f, -0.467591762542724610f,     
00140   0.321484506130218510f, -0.467046260833740230f,     
00141   0.320052474737167360f, -0.466496407985687260f, 0.318622142076492310f,     
00142   -0.465942144393920900f, 0.317193508148193360f, -0.465383470058441160f,     
00143   0.315766572952270510f, -0.464820444583892820f,     
00144   0.314341396093368530f, -0.464253038167953490f, 0.312917977571487430f,     
00145   -0.463681250810623170f, 0.311496287584304810f, -0.463105112314224240f,     
00146   0.310076385736465450f, -0.462524622678756710f,     
00147   0.308658272027969360f, -0.461939752101898190f, 0.307241976261138920f,     
00148   -0.461350560188293460f, 0.305827468633651730f, -0.460757017135620120f,     
00149   0.304414808750152590f, -0.460159152746200560f,     
00150   0.303003966808319090f, -0.459556937217712400f, 0.301595002412796020f,     
00151   -0.458950400352478030f, 0.300187885761260990f, -0.458339542150497440f,     
00152   0.298782676458358760f, -0.457724362611770630f,     
00153   0.297379344701766970f, -0.457104891538620000f, 0.295977920293807980f,     
00154   -0.456481099128723140f, 0.294578403234481810f, -0.455853015184402470f,     
00155   0.293180853128433230f, -0.455220639705657960f,     
00156   0.291785210371017460f, -0.454584002494812010f, 0.290391564369201660f,     
00157   -0.453943043947219850f, 0.288999855518341060f, -0.453297853469848630f,     
00158   0.287610173225402830f, -0.452648371458053590f,     
00159   0.286222457885742190f, -0.451994657516479490f, 0.284836769104003910f,     
00160   -0.451336652040481570f, 0.283453077077865600f, -0.450674414634704590f,     
00161   0.282071471214294430f, -0.450007945299148560f,     
00162   0.280691891908645630f, -0.449337244033813480f, 0.279314368963241580f,     
00163   -0.448662281036376950f, 0.277938932180404660f, -0.447983115911483760f,     
00164   0.276565581560134890f, -0.447299748659133910f,     
00165   0.275194346904754640f, -0.446612149477005000f, 0.273825198411941530f,     
00166   -0.445920348167419430f, 0.272458195686340330f, -0.445224374532699580f,     
00167   0.271093338727951050f, -0.444524168968200680f,     
00168   0.269730657339096070f, -0.443819820880889890f, 0.268370121717453000f,     
00169   -0.443111270666122440f, 0.267011761665344240f, -0.442398548126220700f,     
00170   0.265655577182769780f, -0.441681683063507080f,     
00171   0.264301627874374390f, -0.440960645675659180f, 0.262949883937835690f,     
00172   -0.440235435962677000f, 0.261600375175476070f, -0.439506113529205320f,     
00173   0.260253131389617920f, -0.438772648572921750f,     
00174   0.258908122777938840f, -0.438035041093826290f, 0.257565379142761230f,     
00175   -0.437293320894241330f, 0.256224930286407470f, -0.436547487974166870f,     
00176   0.254886746406555180f, -0.435797542333602910f,     
00177   0.253550916910171510f, -0.435043483972549440f, 0.252217382192611690f,     
00178   -0.434285342693328860f, 0.250886172056198120f, -0.433523118495941160f,     
00179   0.249557301402091980f, -0.432756811380386350f,     
00180   0.248230814933776860f, -0.431986421346664430f, 0.246906682848930360f,     
00181   -0.431211978197097780f, 0.245584934949874880f, -0.430433481931686400f,     
00182   0.244265571236610410f, -0.429650902748107910f,     
00183   0.242948621511459350f, -0.428864300251007080f, 0.241634100675582890f,     
00184   -0.428073674440383910f, 0.240322008728981020f, -0.427278995513916020f,     
00185   0.239012360572814940f, -0.426480293273925780f,     
00186   0.237705156207084660f, -0.425677597522735600f, 0.236400425434112550f,     
00187   -0.424870878458023070f, 0.235098183155059810f, -0.424060165882110600f,     
00188   0.233798429369926450f, -0.423245459794998170f,     
00189   0.232501193881034850f, -0.422426789999008180f, 0.231206461787223820f,     
00190   -0.421604126691818240f, 0.229914262890815730f, -0.420777499675750730f,     
00191   0.228624612092971800f, -0.419946908950805660f,     
00192   0.227337509393692020f, -0.419112354516983030f, 0.226052969694137570f,     
00193   -0.418273866176605220f, 0.224771007895469670f, -0.417431443929672240f,     
00194   0.223491653800010680f, -0.416585087776184080f,     
00195   0.222214877605438230f, -0.415734797716140750f, 0.220940738916397090f,     
00196   -0.414880603551864620f, 0.219669207930564880f, -0.414022535085678100f,     
00197   0.218400329351425170f, -0.413160532712936400f,     
00198   0.217134088277816770f, -0.412294656038284300f, 0.215870529413223270f,     
00199   -0.411424905061721800f, 0.214609622955322270f, -0.410551249980926510f,     
00200   0.213351413607597350f, -0.409673750400543210f,     
00201   0.212095901370048520f, -0.408792406320571900f, 0.210843101143836980f,     
00202   -0.407907217741012570f, 0.209593027830123900f, -0.407018154859542850f,     
00203   0.208345666527748110f, -0.406125307083129880f,     
00204   0.207101076841354370f, -0.405228585004806520f, 0.205859228968620300f,     
00205   -0.404328078031539920f, 0.204620152711868290f, -0.403423786163330080f,     
00206   0.203383848071098330f, -0.402515679597854610f,     
00207   0.202150344848632810f, -0.401603758335113530f, 0.200919643044471740f,     
00208   -0.400688081979751590f, 0.199691757559776310f, -0.399768620729446410f,     
00209   0.198466703295707700f, -0.398845434188842770f,     
00210   0.197244480252265930f, -0.397918462753295900f, 0.196025103330612180f,     
00211   -0.396987736225128170f, 0.194808602333068850f, -0.396053284406661990f,     
00212   0.193594962358474730f, -0.395115107297897340f,     
00213   0.192384198307991030f, -0.394173204898834230f, 0.191176339983940120f,     
00214   -0.393227607011795040f, 0.189971387386322020f, -0.392278283834457400f,     
00215   0.188769355416297910f, -0.391325294971466060f,     
00216   0.187570258975028990f, -0.390368610620498660f, 0.186374098062515260f,     
00217   -0.389408260583877560f, 0.185180887579917910f, -0.388444244861602780f,     
00218   0.183990627527236940f, -0.387476563453674320f,     
00219   0.182803362607955930f, -0.386505216360092160f, 0.181619063019752500f,     
00220   -0.385530263185501100f, 0.180437773466110230f, -0.384551674127578740f,     
00221   0.179259493947029110f, -0.383569449186325070f,     
00222   0.178084224462509160f, -0.382583618164062500f, 0.176911994814872740f,     
00223   -0.381594210863113400f, 0.175742805004119870f, -0.380601197481155400f,     
00224   0.174576655030250550f, -0.379604607820510860f,     
00225   0.173413574695587160f, -0.378604412078857420f, 0.172253578901290890f,     
00226   -0.377600699663162230f, 0.171096652746200560f, -0.376593410968780520f,     
00227   0.169942826032638550f, -0.375582575798034670f,     
00228   0.168792113661766050f, -0.374568194150924680f, 0.167644515633583070f,     
00229   -0.373550295829772950f, 0.166500031948089600f, -0.372528880834579470f,     
00230   0.165358707308769230f, -0.371503978967666630f,     
00231   0.164220526814460750f, -0.370475560426712040f, 0.163085505366325380f,     
00232   -0.369443655014038090f, 0.161953642964363100f, -0.368408292531967160f,     
00233   0.160824984312057500f, -0.367369443178176880f,     
00234   0.159699499607086180f, -0.366327136754989620f, 0.158577233552932740f,     
00235   -0.365281373262405400f, 0.157458171248435970f, -0.364232182502746580f,     
00236   0.156342327594757080f, -0.363179564476013180f,     
00237   0.155229732394218440f, -0.362123548984527590f, 0.154120370745658870f,     
00238   -0.361064106225967410f, 0.153014272451400760f, -0.360001266002655030f,     
00239   0.151911437511444090f, -0.358935028314590450f,     
00240   0.150811880826950070f, -0.357865422964096070f, 0.149715602397918700f,     
00241   -0.356792420148849490f, 0.148622632026672360f, -0.355716109275817870f,     
00242   0.147532954812049870f, -0.354636400938034060f,     
00243   0.146446615457534790f, -0.353553384542465210f, 0.145363584160804750f,     
00244   -0.352467030286788940f, 0.144283905625343320f, -0.351377367973327640f,     
00245   0.143207564949989320f, -0.350284397602081300f,     
00246   0.142134591937065120f, -0.349188119173049930f, 0.141064971685409550f,     
00247   -0.348088562488555910f, 0.139998748898506160f, -0.346985727548599240f,     
00248   0.138935908675193790f, -0.345879614353179930f,     
00249   0.137876465916633610f, -0.344770282506942750f, 0.136820420622825620f,     
00250   -0.343657672405242920f, 0.135767802596092220f, -0.342541843652725220f,     
00251   0.134718611836433410f, -0.341422766447067260f,     
00252   0.133672863245010380f, -0.340300500392913820f, 0.132630556821823120f,     
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00686   0.241634100675582890f, 0.428073674440383910f,     
00687   0.242948621511459350f, 0.428864300251007080f, 0.244265571236610410f,     
00688   0.429650902748107910f, 0.245584934949874880f, 0.430433481931686400f,     
00689   0.246906682848930360f, 0.431211978197097780f,     
00690   0.248230814933776860f, 0.431986421346664430f, 0.249557301402091980f,     
00691   0.432756811380386350f, 0.250886172056198120f, 0.433523118495941160f,     
00692   0.252217382192611690f, 0.434285342693328860f,     
00693   0.253550916910171510f, 0.435043483972549440f, 0.254886746406555180f,     
00694   0.435797542333602910f, 0.256224930286407470f, 0.436547487974166870f,     
00695   0.257565379142761230f, 0.437293320894241330f,     
00696   0.258908122777938840f, 0.438035041093826290f, 0.260253131389617920f,     
00697   0.438772648572921750f, 0.261600375175476070f, 0.439506113529205320f,     
00698   0.262949883937835690f, 0.440235435962677000f,     
00699   0.264301627874374390f, 0.440960645675659180f, 0.265655577182769780f,     
00700   0.441681683063507080f, 0.267011761665344240f, 0.442398548126220700f,     
00701   0.268370121717453000f, 0.443111270666122440f,     
00702   0.269730657339096070f, 0.443819820880889890f, 0.271093338727951050f,     
00703   0.444524168968200680f, 0.272458195686340330f, 0.445224374532699580f,     
00704   0.273825198411941530f, 0.445920348167419430f,     
00705   0.275194346904754640f, 0.446612149477005000f, 0.276565581560134890f,     
00706   0.447299748659133910f, 0.277938932180404660f, 0.447983115911483760f,     
00707   0.279314368963241580f, 0.448662281036376950f,     
00708   0.280691891908645630f, 0.449337244033813480f, 0.282071471214294430f,     
00709   0.450007945299148560f, 0.283453077077865600f, 0.450674414634704590f,     
00710   0.284836769104003910f, 0.451336652040481570f,     
00711   0.286222457885742190f, 0.451994657516479490f, 0.287610173225402830f,     
00712   0.452648371458053590f, 0.288999855518341060f, 0.453297853469848630f,     
00713   0.290391564369201660f, 0.453943043947219850f,     
00714   0.291785210371017460f, 0.454584002494812010f, 0.293180853128433230f,     
00715   0.455220639705657960f, 0.294578403234481810f, 0.455853015184402470f,     
00716   0.295977920293807980f, 0.456481099128723140f,     
00717   0.297379344701766970f, 0.457104891538620000f, 0.298782676458358760f,     
00718   0.457724362611770630f, 0.300187885761260990f, 0.458339542150497440f,     
00719   0.301595002412796020f, 0.458950400352478030f,     
00720   0.303003966808319090f, 0.459556937217712400f, 0.304414808750152590f,     
00721   0.460159152746200560f, 0.305827468633651730f, 0.460757017135620120f,     
00722   0.307241976261138920f, 0.461350560188293460f,     
00723   0.308658272027969360f, 0.461939752101898190f, 0.310076385736465450f,     
00724   0.462524622678756710f, 0.311496287584304810f, 0.463105112314224240f,     
00725   0.312917977571487430f, 0.463681250810623170f,     
00726   0.314341396093368530f, 0.464253038167953490f, 0.315766572952270510f,     
00727   0.464820444583892820f, 0.317193508148193360f, 0.465383470058441160f,     
00728   0.318622142076492310f, 0.465942144393920900f,     
00729   0.320052474737167360f, 0.466496407985687260f, 0.321484506130218510f,     
00730   0.467046260833740230f, 0.322918236255645750f, 0.467591762542724610f,     
00731   0.324353635311126710f, 0.468132823705673220f,     
00732   0.325790673494338990f, 0.468669503927230830f, 0.327229350805282590f,     
00733   0.469201773405075070f, 0.328669637441635130f, 0.469729602336883540f,     
00734   0.330111563205718990f, 0.470253020524978640f,     
00735   0.331555068492889400f, 0.470772027969360350f, 0.333000183105468750f,     
00736   0.471286594867706300f, 0.334446847438812260f, 0.471796721220016480f,     
00737   0.335895091295242310f, 0.472302407026290890f,     
00738   0.337344855070114140f, 0.472803652286529540f, 0.338796168565750120f,     
00739   0.473300457000732420f, 0.340248972177505490f, 0.473792791366577150f,     
00740   0.341703325510025020f, 0.474280685186386110f,     
00741   0.343159139156341550f, 0.474764078855514530f, 0.344616413116455080f,     
00742   0.475243031978607180f, 0.346075177192687990f, 0.475717514753341670f,     
00743   0.347535371780395510f, 0.476187497377395630f,     
00744   0.348997026681900020f, 0.476653009653091430f, 0.350460082292556760f,     
00745   0.477114051580429080f, 0.351924568414688110f, 0.477570593357086180f,     
00746   0.353390425443649290f, 0.478022634983062740f,     
00747   0.354857653379440310f, 0.478470176458358760f, 0.356326282024383540f,     
00748   0.478913217782974240f, 0.357796221971511840f, 0.479351729154586790f,     
00749   0.359267532825469970f, 0.479785770177841190f,     
00750   0.360740154981613160f, 0.480215251445770260f, 0.362214088439941410f,     
00751   0.480640232563018800f, 0.363689333200454710f, 0.481060713529586790f,     
00752   0.365165829658508300f, 0.481476634740829470f,     
00753   0.366643607616424560f, 0.481888025999069210f, 0.368122667074203490f,     
00754   0.482294887304306030f, 0.369602948427200320f, 0.482697218656539920f,     
00755   0.371084451675415040f, 0.483094990253448490f,     
00756   0.372567176818847660f, 0.483488231897354130f, 0.374051094055175780f,     
00757   0.483876913785934450f, 0.375536203384399410f, 0.484261035919189450f,     
00758   0.377022475004196170f, 0.484640628099441530f,     
00759   0.378509908914566040f, 0.485015630722045900f, 0.379998475313186650f,     
00760   0.485386073589324950f, 0.381488204002380370f, 0.485751956701278690f,     
00761   0.382979035377502440f, 0.486113250255584720f,     
00762   0.384470939636230470f, 0.486469984054565430f, 0.385963946580886840f,     
00763   0.486822128295898440f, 0.387458056211471560f, 0.487169682979583740f,     
00764   0.388953179121017460f, 0.487512677907943730f,     
00765   0.390449374914169310f, 0.487851053476333620f, 0.391946613788604740f,     
00766   0.488184869289398190f, 0.393444836139678960f, 0.488514065742492680f,     
00767   0.394944071769714360f, 0.488838672637939450f,     
00768   0.396444320678710940f, 0.489158689975738530f, 0.397945523262023930f,     
00769   0.489474087953567500f, 0.399447679519653320f, 0.489784896373748780f,     
00770   0.400950789451599120f, 0.490091055631637570f,     
00771   0.402454853057861330f, 0.490392625331878660f, 0.403959810733795170f,     
00772   0.490689605474472050f, 0.405465662479400630f, 0.490981936454772950f,     
00773   0.406972438097000120f, 0.491269648075103760f,     
00774   0.408480048179626460f, 0.491552740335464480f, 0.409988552331924440f,     
00775   0.491831213235855100f, 0.411497890949249270f, 0.492105036973953250f,     
00776   0.413008064031600950f, 0.492374241352081300f,     
00777   0.414519041776657100f, 0.492638826370239260f, 0.416030853986740110f,     
00778   0.492898762226104740f, 0.417543441057205200f, 0.493154048919677730f,     
00779   0.419056802988052370f, 0.493404686450958250f,     
00780   0.420570939779281620f, 0.493650704622268680f, 0.422085791826248170f,     
00781   0.493892073631286620f, 0.423601418733596800f, 0.494128793478012080f,     
00782   0.425117731094360350f, 0.494360834360122680f,     
00783   0.426634758710861210f, 0.494588255882263180f, 0.428152471780776980f,     
00784   0.494810998439788820f, 0.429670870304107670f, 0.495029091835021970f,     
00785   0.431189924478530880f, 0.495242536067962650f,     
00786   0.432709634304046630f, 0.495451331138610840f, 0.434229999780654910f,     
00787   0.495655417442321780f, 0.435750931501388550f, 0.495854884386062620f,     
00788   0.437272518873214720f, 0.496049642562866210f,     
00789   0.438794672489166260f, 0.496239781379699710f, 0.440317392349243160f,     
00790   0.496425211429595950f, 0.441840678453445430f, 0.496605962514877320f,     
00791   0.443364530801773070f, 0.496782064437866210f,     
00792   0.444888889789581300f, 0.496953487396240230f, 0.446413785219192500f,     
00793   0.497120231389999390f, 0.447939187288284300f, 0.497282296419143680f,     
00794   0.449465066194534300f, 0.497439652681350710f,     
00795   0.450991421937942500f, 0.497592359781265260f, 0.452518254518508910f,     
00796   0.497740387916564940f, 0.454045534133911130f, 0.497883707284927370f,     
00797   0.455573230981826780f, 0.498022347688674930f,     
00798   0.457101345062255860f, 0.498156309127807620f, 0.458629876375198360f,     
00799   0.498285561800003050f, 0.460158795118331910f, 0.498410135507583620f,     
00800   0.461688071489334110f, 0.498530030250549320f,     
00801   0.463217705488204960f, 0.498645216226577760f, 0.464747726917266850f,     
00802   0.498755723237991330f, 0.466278046369552610f, 0.498861521482467650f,     
00803   0.467808693647384640f, 0.498962640762329100f,     
00804   0.469339638948440550f, 0.499059051275253300f, 0.470870882272720340f,     
00805   0.499150782823562620f, 0.472402364015579220f, 0.499237775802612300f,     
00806   0.473934143781661990f, 0.499320119619369510f,     
00807   0.475466161966323850f, 0.499397724866867070f, 0.476998418569564820f,     
00808   0.499470651149749760f, 0.478530883789062500f, 0.499538868665695190f,     
00809   0.480063527822494510f, 0.499602377414703370f,     
00810   0.481596380472183230f, 0.499661177396774290f, 0.483129411935806270f,     
00811   0.499715298414230350f, 0.484662592411041260f, 0.499764710664749150f,     
00812   0.486195921897888180f, 0.499809414148330690f,     
00813   0.487729400396347050f, 0.499849408864974980f, 0.489262968301773070f,     
00814   0.499884694814682010f, 0.490796625614166260f, 0.499915301799774170f,     
00815   0.492330402135849000f, 0.499941170215606690f,     
00816   0.493864238262176510f, 0.499962359666824340f, 0.495398133993148800f,     
00817   0.499978810548782350f, 0.496932059526443480f, 0.499990582466125490f,     
00818   0.498466014862060550f, 0.499997645616531370f     
00819 };     
00820      
00821      
00834 static const float32_t realCoefB[2048] = {     
00835   0.500000000000000000f, 0.500000000000000000f, 0.501533985137939450f,     
00836   0.499997645616531370f, 0.503067970275878910f, 0.499990582466125490f,     
00837   0.504601895809173580f, 0.499978810548782350f,     
00838   0.506135761737823490f, 0.499962359666824340f, 0.507669627666473390f,     
00839   0.499941170215606690f, 0.509203374385833740f, 0.499915301799774170f,     
00840   0.510737061500549320f, 0.499884694814682010f,     
00841   0.512270629405975340f, 0.499849408864974980f, 0.513804078102111820f,     
00842   0.499809414148330690f, 0.515337407588958740f, 0.499764710664749150f,     
00843   0.516870558261871340f, 0.499715298414230350f,     
00844   0.518403589725494380f, 0.499661177396774290f, 0.519936442375183110f,     
00845   0.499602377414703370f, 0.521469116210937500f, 0.499538868665695190f,     
00846   0.523001611232757570f, 0.499470651149749760f,     
00847   0.524533808231353760f, 0.499397724866867070f, 0.526065826416015630f,     
00848   0.499320119619369510f, 0.527597606182098390f, 0.499237775802612300f,     
00849   0.529129147529602050f, 0.499150782823562620f,     
00850   0.530660390853881840f, 0.499059051275253300f, 0.532191336154937740f,     
00851   0.498962640762329100f, 0.533721983432769780f, 0.498861521482467650f,     
00852   0.535252273082733150f, 0.498755723237991330f,     
00853   0.536782264709472660f, 0.498645216226577760f, 0.538311958312988280f,     
00854   0.498530030250549320f, 0.539841234683990480f, 0.498410135507583620f,     
00855   0.541370153427124020f, 0.498285561800003050f,     
00856   0.542898654937744140f, 0.498156309127807620f, 0.544426798820495610f,     
00857   0.498022347688674930f, 0.545954465866088870f, 0.497883707284927370f,     
00858   0.547481775283813480f, 0.497740387916564940f,     
00859   0.549008548259735110f, 0.497592359781265260f, 0.550534904003143310f,     
00860   0.497439652681350710f, 0.552060842514038090f, 0.497282296419143680f,     
00861   0.553586184978485110f, 0.497120231389999390f,     
00862   0.555111110210418700f, 0.496953487396240230f, 0.556635499000549320f,     
00863   0.496782064437866210f, 0.558159291744232180f, 0.496605962514877320f,     
00864   0.559682607650756840f, 0.496425211429595950f,     
00865   0.561205327510833740f, 0.496239781379699710f, 0.562727510929107670f,     
00866   0.496049642562866210f, 0.564249038696289060f, 0.495854884386062620f,     
00867   0.565770030021667480f, 0.495655417442321780f,     
00868   0.567290365695953370f, 0.495451331138610840f, 0.568810045719146730f,     
00869   0.495242536067962650f, 0.570329129695892330f, 0.495029091835021970f,     
00870   0.571847498416900630f, 0.494810998439788820f,     
00871   0.573365211486816410f, 0.494588255882263180f, 0.574882268905639650f,     
00872   0.494360834360122680f, 0.576398611068725590f, 0.494128793478012080f,     
00873   0.577914178371429440f, 0.493892073631286620f,     
00874   0.579429090023040770f, 0.493650704622268680f, 0.580943167209625240f,     
00875   0.493404686450958250f, 0.582456588745117190f, 0.493154048919677730f,     
00876   0.583969175815582280f, 0.492898762226104740f,     
00877   0.585480928421020510f, 0.492638826370239260f, 0.586991965770721440f,     
00878   0.492374241352081300f, 0.588502109050750730f, 0.492105036973953250f,     
00879   0.590011477470397950f, 0.491831213235855100f,     
00880   0.591519951820373540f, 0.491552740335464480f, 0.593027591705322270f,     
00881   0.491269648075103760f, 0.594534337520599370f, 0.490981936454772950f,     
00882   0.596040189266204830f, 0.490689605474472050f,     
00883   0.597545146942138670f, 0.490392625331878660f, 0.599049210548400880f,     
00884   0.490091055631637570f, 0.600552320480346680f, 0.489784896373748780f,     
00885   0.602054476737976070f, 0.489474087953567500f,     
00886   0.603555679321289060f, 0.489158689975738530f, 0.605055928230285640f,     
00887   0.488838672637939450f, 0.606555163860321040f, 0.488514065742492680f,     
00888   0.608053386211395260f, 0.488184869289398190f,     
00889   0.609550595283508300f, 0.487851053476333620f, 0.611046791076660160f,     
00890   0.487512677907943730f, 0.612541973590850830f, 0.487169682979583740f,     
00891   0.614036023616790770f, 0.486822128295898440f,     
00892   0.615529060363769530f, 0.486469984054565430f, 0.617020964622497560f,     
00893   0.486113250255584720f, 0.618511795997619630f, 0.485751956701278690f,     
00894   0.620001494884490970f, 0.485386073589324950f,     
00895   0.621490061283111570f, 0.485015630722045900f, 0.622977554798126220f,     
00896   0.484640628099441530f, 0.624463796615600590f, 0.484261035919189450f,     
00897   0.625948905944824220f, 0.483876913785934450f,     
00898   0.627432823181152340f, 0.483488231897354130f, 0.628915548324584960f,     
00899   0.483094990253448490f, 0.630397081375122070f, 0.482697218656539920f,     
00900   0.631877362728118900f, 0.482294887304306030f,     
00901   0.633356392383575440f, 0.481888025999069210f, 0.634834170341491700f,     
00902   0.481476634740829470f, 0.636310696601867680f, 0.481060713529586790f,     
00903   0.637785911560058590f, 0.480640232563018800f,     
00904   0.639259815216064450f, 0.480215251445770260f, 0.640732467174530030f,     
00905   0.479785770177841190f, 0.642203748226165770f, 0.479351729154586790f,     
00906   0.643673717975616460f, 0.478913217782974240f,     
00907   0.645142316818237300f, 0.478470176458358760f, 0.646609604358673100f,     
00908   0.478022634983062740f, 0.648075461387634280f, 0.477570593357086180f,     
00909   0.649539887905120850f, 0.477114051580429080f,     
00910   0.651003003120422360f, 0.476653009653091430f, 0.652464628219604490f,     
00911   0.476187497377395630f, 0.653924822807312010f, 0.475717514753341670f,     
00912   0.655383586883544920f, 0.475243031978607180f,     
00913   0.656840860843658450f, 0.474764078855514530f, 0.658296704292297360f,     
00914   0.474280685186386110f, 0.659750998020172120f, 0.473792791366577150f,     
00915   0.661203861236572270f, 0.473300457000732420f,     
00916   0.662655174732208250f, 0.472803652286529540f, 0.664104938507080080f,     
00917   0.472302407026290890f, 0.665553152561187740f, 0.471796721220016480f,     
00918   0.666999816894531250f, 0.471286594867706300f,     
00919   0.668444931507110600f, 0.470772027969360350f, 0.669888436794281010f,     
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01556   -0.490689605474472050f, 0.594534337520599370f, -0.490981936454772950f,     
01557   0.593027591705322270f, -0.491269648075103760f,     
01558   0.591519951820373540f, -0.491552740335464480f, 0.590011477470397950f,     
01559   -0.491831213235855100f, 0.588502109050750730f, -0.492105036973953250f,     
01560   0.586991965770721440f, -0.492374241352081300f,     
01561   0.585480928421020510f, -0.492638826370239260f, 0.583969175815582280f,     
01562   -0.492898762226104740f, 0.582456588745117190f, -0.493154048919677730f,     
01563   0.580943167209625240f, -0.493404686450958250f,     
01564   0.579429090023040770f, -0.493650704622268680f, 0.577914178371429440f,     
01565   -0.493892073631286620f, 0.576398611068725590f, -0.494128793478012080f,     
01566   0.574882268905639650f, -0.494360834360122680f,     
01567   0.573365211486816410f, -0.494588255882263180f, 0.571847498416900630f,     
01568   -0.494810998439788820f, 0.570329129695892330f, -0.495029091835021970f,     
01569   0.568810045719146730f, -0.495242536067962650f,     
01570   0.567290365695953370f, -0.495451331138610840f, 0.565770030021667480f,     
01571   -0.495655417442321780f, 0.564249038696289060f, -0.495854884386062620f,     
01572   0.562727510929107670f, -0.496049642562866210f,     
01573   0.561205327510833740f, -0.496239781379699710f, 0.559682607650756840f,     
01574   -0.496425211429595950f, 0.558159291744232180f, -0.496605962514877320f,     
01575   0.556635499000549320f, -0.496782064437866210f,     
01576   0.555111110210418700f, -0.496953487396240230f, 0.553586184978485110f,     
01577   -0.497120231389999390f, 0.552060842514038090f, -0.497282296419143680f,     
01578   0.550534904003143310f, -0.497439652681350710f,     
01579   0.549008548259735110f, -0.497592359781265260f, 0.547481775283813480f,     
01580   -0.497740387916564940f, 0.545954465866088870f, -0.497883707284927370f,     
01581   0.544426798820495610f, -0.498022347688674930f,     
01582   0.542898654937744140f, -0.498156309127807620f, 0.541370153427124020f,     
01583   -0.498285561800003050f, 0.539841234683990480f, -0.498410135507583620f,     
01584   0.538311958312988280f, -0.498530030250549320f,     
01585   0.536782264709472660f, -0.498645216226577760f, 0.535252273082733150f,     
01586   -0.498755723237991330f, 0.533721983432769780f, -0.498861521482467650f,     
01587   0.532191336154937740f, -0.498962640762329100f,     
01588   0.530660390853881840f, -0.499059051275253300f, 0.529129147529602050f,     
01589   -0.499150782823562620f, 0.527597606182098390f, -0.499237775802612300f,     
01590   0.526065826416015630f, -0.499320119619369510f,     
01591   0.524533808231353760f, -0.499397724866867070f, 0.523001611232757570f,     
01592   -0.499470651149749760f, 0.521469116210937500f, -0.499538868665695190f,     
01593   0.519936442375183110f, -0.499602377414703370f,     
01594   0.518403589725494380f, -0.499661177396774290f, 0.516870558261871340f,     
01595   -0.499715298414230350f, 0.515337407588958740f, -0.499764710664749150f,     
01596   0.513804078102111820f, -0.499809414148330690f,     
01597   0.512270629405975340f, -0.499849408864974980f, 0.510737061500549320f,     
01598   -0.499884694814682010f, 0.509203374385833740f, -0.499915301799774170f,     
01599   0.507669627666473390f, -0.499941170215606690f,     
01600   0.506135761737823490f, -0.499962359666824340f, 0.504601895809173580f,     
01601   -0.499978810548782350f, 0.503067970275878910f, -0.499990582466125490f,     
01602   0.501533985137939450f, -0.499997645616531370f     
01603 };     
01604      
01605      
01606      
01629 arm_status arm_rfft_init_f32(     
01630   arm_rfft_instance_f32 * S,     
01631   arm_cfft_radix4_instance_f32 * S_CFFT,     
01632   uint32_t fftLenReal,     
01633   uint32_t ifftFlagR,     
01634   uint32_t bitReverseFlag)     
01635 {     
01636      
01637   /*  Initialise the default arm status */     
01638   arm_status status = ARM_MATH_SUCCESS;     
01639      
01640   /*  Initialize the Real FFT length */     
01641   S->fftLenReal = (uint16_t) fftLenReal;     
01642      
01643   /*  Initialize the Complex FFT length */     
01644   S->fftLenBy2 = (uint16_t) fftLenReal / 2u;     
01645      
01646   /*  Initialize the Twiddle coefficientA pointer */     
01647   S->pTwiddleAReal = (float32_t *) realCoefA;     
01648      
01649   /*  Initialize the Twiddle coefficientB pointer */     
01650   S->pTwiddleBReal = (float32_t *) realCoefB;     
01651      
01652   /*  Initialize the Flag for selection of RFFT or RIFFT */     
01653   S->ifftFlagR = (uint8_t) ifftFlagR;     
01654      
01655   /*  Initialize the Flag for calculation Bit reversal or not */     
01656   S->bitReverseFlagR = (uint8_t) bitReverseFlag;     
01657      
01658   /*  Initializations of structure parameters depending on the FFT length */     
01659   switch (S->fftLenReal)     
01660   {     
01661     /* Init table modifier value */     
01662   case 2048u:     
01663     S->twidCoefRModifier = 1u;     
01664     break;     
01665   case 512u:     
01666     S->twidCoefRModifier = 4u;     
01667     break;     
01668   case 128u:     
01669     S->twidCoefRModifier = 16u;     
01670     break;     
01671   default:     
01672     /*  Reporting argument error if rfftSize is not valid value */     
01673     status = ARM_MATH_ARGUMENT_ERROR;     
01674     break;     
01675   }     
01676      
01677   /* Init Complex FFT Instance */     
01678   S->pCfft = S_CFFT;     
01679      
01680   if(S->ifftFlagR)     
01681   {     
01682     /* Initializes the CIFFT Module for fftLenreal/2 length */     
01683     arm_cfft_radix4_init_f32(S->pCfft, S->fftLenBy2, 1u, 0u);     
01684   }     
01685   else     
01686   {     
01687     /* Initializes the CFFT Module for fftLenreal/2 length */     
01688     arm_cfft_radix4_init_f32(S->pCfft, S->fftLenBy2, 0u, 0u);     
01689   }     
01690      
01691   /* return the status of RFFT Init function */     
01692   return (status);     
01693      
01694 }     
01695