arm_rfft_init_f32.c

00001 /* ----------------------------------------------------------------------  
00002 * Copyright (C) 2010 ARM Limited. All rights reserved.  
00003 *  
00004 * $Date:        29. November 2010  
00005 * $Revision:    V1.0.3  
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
00013 *  
00014 * Version 1.0.3 2010/11/29 
00015 *    Re-organized the CMSIS folders and updated documentation.  
00016 *   
00017 * Version 1.0.2 2010/11/11  
00018 *    Documentation updated.   
00019 *  
00020 * Version 1.0.1 2010/10/05   
00021 *    Production release and review comments incorporated.  
00022 *  
00023 * Version 1.0.0 2010/09/20   
00024 *    Production release and review comments incorporated.  
00025 *  
00026 * Version 0.0.7  2010/06/10   
00027 *    Misra-C changes done  
00028 * -------------------------------------------------------------------- */ 
00029  
00030  
00031 #include "arm_math.h" 
00032  
00033 /**  
00034  * @ingroup groupTransforms  
00035  */ 
00036  
00037 /**  
00038  * @addtogroup RFFT_RIFFT  
00039  * @{  
00040  */ 
00041  
00042 /**  
00043 * \par  
00044 * Generation of realCoefA array:  
00045 * \par  
00046 *   n = 1024  
00047 * <pre>for (i = 0; i < n; i++)  
00048 *  {  
00049 *    pATable[2 * i] = 0.5 * (1.0 - sin (2 * PI / (double) (2 * n) * (double) i));  
00050 *    pATable[2 * i + 1] = 0.5 * (-1.0 * cos (2 * PI / (double) (2 * n) * (double) i));  
00051 *  } </pre>  
00052 */ 
00053  
00054  
00055  
00056 static const float32_t realCoefA [2048] = { 
00057   0.500000000000000000f, -0.500000000000000000f, 0.498466014862060550f, 
00058   -0.499997645616531370f, 0.496932059526443480f, -0.499990582466125490f, 
00059   0.495398133993148800f, -0.499978810548782350f, 
00060   0.493864238262176510f, -0.499962359666824340f, 0.492330402135849000f, 
00061   -0.499941170215606690f, 0.490796625614166260f, -0.499915301799774170f, 
00062   0.489262968301773070f, -0.499884694814682010f, 
00063   0.487729400396347050f, -0.499849408864974980f, 0.486195921897888180f, 
00064   -0.499809414148330690f, 0.484662592411041260f, -0.499764710664749150f, 
00065   0.483129411935806270f, -0.499715298414230350f, 
00066   0.481596380472183230f, -0.499661177396774290f, 0.480063527822494510f, 
00067   -0.499602377414703370f, 0.478530883789062500f, -0.499538868665695190f, 
00068   0.476998418569564820f, -0.499470651149749760f, 
00069   0.475466161966323850f, -0.499397724866867070f, 0.473934143781661990f, 
00070   -0.499320119619369510f, 0.472402364015579220f, -0.499237775802612300f, 
00071   0.470870882272720340f, -0.499150782823562620f, 
00072   0.469339638948440550f, -0.499059051275253300f, 0.467808693647384640f, 
00073   -0.498962640762329100f, 0.466278046369552610f, -0.498861521482467650f, 
00074   0.464747726917266850f, -0.498755723237991330f, 
00075   0.463217705488204960f, -0.498645216226577760f, 0.461688071489334110f, 
00076   -0.498530030250549320f, 0.460158795118331910f, -0.498410135507583620f, 
00077   0.458629876375198360f, -0.498285561800003050f, 
00078   0.457101345062255860f, -0.498156309127807620f, 0.455573230981826780f, 
00079   -0.498022347688674930f, 0.454045534133911130f, -0.497883707284927370f, 
00080   0.452518254518508910f, -0.497740387916564940f, 
00081   0.450991421937942500f, -0.497592359781265260f, 0.449465066194534300f, 
00082   -0.497439652681350710f, 0.447939187288284300f, -0.497282296419143680f, 
00083   0.446413785219192500f, -0.497120231389999390f, 
00084   0.444888889789581300f, -0.496953487396240230f, 0.443364530801773070f, 
00085   -0.496782064437866210f, 0.441840678453445430f, -0.496605962514877320f, 
00086   0.440317392349243160f, -0.496425211429595950f, 
00087   0.438794672489166260f, -0.496239781379699710f, 0.437272518873214720f, 
00088   -0.496049642562866210f, 0.435750931501388550f, -0.495854884386062620f, 
00089   0.434229999780654910f, -0.495655417442321780f, 
00090   0.432709634304046630f, -0.495451331138610840f, 0.431189924478530880f, 
00091   -0.495242536067962650f, 0.429670870304107670f, -0.495029091835021970f, 
00092   0.428152471780776980f, -0.494810998439788820f, 
00093   0.426634758710861210f, -0.494588255882263180f, 0.425117731094360350f, 
00094   -0.494360834360122680f, 0.423601418733596800f, -0.494128793478012080f, 
00095   0.422085791826248170f, -0.493892073631286620f, 
00096   0.420570939779281620f, -0.493650704622268680f, 0.419056802988052370f, 
00097   -0.493404686450958250f, 0.417543441057205200f, -0.493154048919677730f, 
00098   0.416030853986740110f, -0.492898762226104740f, 
00099   0.414519041776657100f, -0.492638826370239260f, 0.413008064031600950f, 
00100   -0.492374241352081300f, 0.411497890949249270f, -0.492105036973953250f, 
00101   0.409988552331924440f, -0.491831213235855100f, 
00102   0.408480048179626460f, -0.491552740335464480f, 0.406972438097000120f, 
00103   -0.491269648075103760f, 0.405465662479400630f, -0.490981936454772950f, 
00104   0.403959810733795170f, -0.490689605474472050f, 
00105   0.402454853057861330f, -0.490392625331878660f, 0.400950789451599120f, 
00106   -0.490091055631637570f, 0.399447679519653320f, -0.489784896373748780f, 
00107   0.397945523262023930f, -0.489474087953567500f, 
00108   0.396444320678710940f, -0.489158689975738530f, 0.394944071769714360f, 
00109   -0.488838672637939450f, 0.393444836139678960f, -0.488514065742492680f, 
00110   0.391946613788604740f, -0.488184869289398190f, 
00111   0.390449374914169310f, -0.487851053476333620f, 0.388953179121017460f, 
00112   -0.487512677907943730f, 0.387458056211471560f, -0.487169682979583740f, 
00113   0.385963946580886840f, -0.486822128295898440f, 
00114   0.384470939636230470f, -0.486469984054565430f, 0.382979035377502440f, 
00115   -0.486113250255584720f, 0.381488204002380370f, -0.485751956701278690f, 
00116   0.379998475313186650f, -0.485386073589324950f, 
00117   0.378509908914566040f, -0.485015630722045900f, 0.377022475004196170f, 
00118   -0.484640628099441530f, 0.375536203384399410f, -0.484261035919189450f, 
00119   0.374051094055175780f, -0.483876913785934450f, 
00120   0.372567176818847660f, -0.483488231897354130f, 0.371084451675415040f, 
00121   -0.483094990253448490f, 0.369602948427200320f, -0.482697218656539920f, 
00122   0.368122667074203490f, -0.482294887304306030f, 
00123   0.366643607616424560f, -0.481888025999069210f, 0.365165829658508300f, 
00124   -0.481476634740829470f, 0.363689333200454710f, -0.481060713529586790f, 
00125   0.362214088439941410f, -0.480640232563018800f, 
00126   0.360740154981613160f, -0.480215251445770260f, 0.359267532825469970f, 
00127   -0.479785770177841190f, 0.357796221971511840f, -0.479351729154586790f, 
00128   0.356326282024383540f, -0.478913217782974240f, 
00129   0.354857653379440310f, -0.478470176458358760f, 0.353390425443649290f, 
00130   -0.478022634983062740f, 0.351924568414688110f, -0.477570593357086180f, 
00131   0.350460082292556760f, -0.477114051580429080f, 
00132   0.348997026681900020f, -0.476653009653091430f, 0.347535371780395510f, 
00133   -0.476187497377395630f, 0.346075177192687990f, -0.475717514753341670f, 
00134   0.344616413116455080f, -0.475243031978607180f, 
00135   0.343159139156341550f, -0.474764078855514530f, 0.341703325510025020f, 
00136   -0.474280685186386110f, 0.340248972177505490f, -0.473792791366577150f, 
00137   0.338796168565750120f, -0.473300457000732420f, 
00138   0.337344855070114140f, -0.472803652286529540f, 0.335895091295242310f, 
00139   -0.472302407026290890f, 0.334446847438812260f, -0.471796721220016480f, 
00140   0.333000183105468750f, -0.471286594867706300f, 
00141   0.331555068492889400f, -0.470772027969360350f, 0.330111563205718990f, 
00142   -0.470253020524978640f, 0.328669637441635130f, -0.469729602336883540f, 
00143   0.327229350805282590f, -0.469201773405075070f, 
00144   0.325790673494338990f, -0.468669503927230830f, 0.324353635311126710f, 
00145   -0.468132823705673220f, 0.322918236255645750f, -0.467591762542724610f, 
00146   0.321484506130218510f, -0.467046260833740230f, 
00147   0.320052474737167360f, -0.466496407985687260f, 0.318622142076492310f, 
00148   -0.465942144393920900f, 0.317193508148193360f, -0.465383470058441160f, 
00149   0.315766572952270510f, -0.464820444583892820f, 
00150   0.314341396093368530f, -0.464253038167953490f, 0.312917977571487430f, 
00151   -0.463681250810623170f, 0.311496287584304810f, -0.463105112314224240f, 
00152   0.310076385736465450f, -0.462524622678756710f, 
00153   0.308658272027969360f, -0.461939752101898190f, 0.307241976261138920f, 
00154   -0.461350560188293460f, 0.305827468633651730f, -0.460757017135620120f, 
00155   0.304414808750152590f, -0.460159152746200560f, 
00156   0.303003966808319090f, -0.459556937217712400f, 0.301595002412796020f, 
00157   -0.458950400352478030f, 0.300187885761260990f, -0.458339542150497440f, 
00158   0.298782676458358760f, -0.457724362611770630f, 
00159   0.297379344701766970f, -0.457104891538620000f, 0.295977920293807980f, 
00160   -0.456481099128723140f, 0.294578403234481810f, -0.455853015184402470f, 
00161   0.293180853128433230f, -0.455220639705657960f, 
00162   0.291785210371017460f, -0.454584002494812010f, 0.290391564369201660f, 
00163   -0.453943043947219850f, 0.288999855518341060f, -0.453297853469848630f, 
00164   0.287610173225402830f, -0.452648371458053590f, 
00165   0.286222457885742190f, -0.451994657516479490f, 0.284836769104003910f, 
00166   -0.451336652040481570f, 0.283453077077865600f, -0.450674414634704590f, 
00167   0.282071471214294430f, -0.450007945299148560f, 
00168   0.280691891908645630f, -0.449337244033813480f, 0.279314368963241580f, 
00169   -0.448662281036376950f, 0.277938932180404660f, -0.447983115911483760f, 
00170   0.276565581560134890f, -0.447299748659133910f, 
00171   0.275194346904754640f, -0.446612149477005000f, 0.273825198411941530f, 
00172   -0.445920348167419430f, 0.272458195686340330f, -0.445224374532699580f, 
00173   0.271093338727951050f, -0.444524168968200680f, 
00174   0.269730657339096070f, -0.443819820880889890f, 0.268370121717453000f, 
00175   -0.443111270666122440f, 0.267011761665344240f, -0.442398548126220700f, 
00176   0.265655577182769780f, -0.441681683063507080f, 
00177   0.264301627874374390f, -0.440960645675659180f, 0.262949883937835690f, 
00178   -0.440235435962677000f, 0.261600375175476070f, -0.439506113529205320f, 
00179   0.260253131389617920f, -0.438772648572921750f, 
00180   0.258908122777938840f, -0.438035041093826290f, 0.257565379142761230f, 
00181   -0.437293320894241330f, 0.256224930286407470f, -0.436547487974166870f, 
00182   0.254886746406555180f, -0.435797542333602910f, 
00183   0.253550916910171510f, -0.435043483972549440f, 0.252217382192611690f, 
00184   -0.434285342693328860f, 0.250886172056198120f, -0.433523118495941160f, 
00185   0.249557301402091980f, -0.432756811380386350f, 
00186   0.248230814933776860f, -0.431986421346664430f, 0.246906682848930360f, 
00187   -0.431211978197097780f, 0.245584934949874880f, -0.430433481931686400f, 
00188   0.244265571236610410f, -0.429650902748107910f, 
00189   0.242948621511459350f, -0.428864300251007080f, 0.241634100675582890f, 
00190   -0.428073674440383910f, 0.240322008728981020f, -0.427278995513916020f, 
00191   0.239012360572814940f, -0.426480293273925780f, 
00192   0.237705156207084660f, -0.425677597522735600f, 0.236400425434112550f, 
00193   -0.424870878458023070f, 0.235098183155059810f, -0.424060165882110600f, 
00194   0.233798429369926450f, -0.423245459794998170f, 
00195   0.232501193881034850f, -0.422426789999008180f, 0.231206461787223820f, 
00196   -0.421604126691818240f, 0.229914262890815730f, -0.420777499675750730f, 
00197   0.228624612092971800f, -0.419946908950805660f, 
00198   0.227337509393692020f, -0.419112354516983030f, 0.226052969694137570f, 
00199   -0.418273866176605220f, 0.224771007895469670f, -0.417431443929672240f, 
00200   0.223491653800010680f, -0.416585087776184080f, 
00201   0.222214877605438230f, -0.415734797716140750f, 0.220940738916397090f, 
00202   -0.414880603551864620f, 0.219669207930564880f, -0.414022535085678100f, 
00203   0.218400329351425170f, -0.413160532712936400f, 
00204   0.217134088277816770f, -0.412294656038284300f, 0.215870529413223270f, 
00205   -0.411424905061721800f, 0.214609622955322270f, -0.410551249980926510f, 
00206   0.213351413607597350f, -0.409673750400543210f, 
00207   0.212095901370048520f, -0.408792406320571900f, 0.210843101143836980f, 
00208   -0.407907217741012570f, 0.209593027830123900f, -0.407018154859542850f, 
00209   0.208345666527748110f, -0.406125307083129880f, 
00210   0.207101076841354370f, -0.405228585004806520f, 0.205859228968620300f, 
00211   -0.404328078031539920f, 0.204620152711868290f, -0.403423786163330080f, 
00212   0.203383848071098330f, -0.402515679597854610f, 
00213   0.202150344848632810f, -0.401603758335113530f, 0.200919643044471740f, 
00214   -0.400688081979751590f, 0.199691757559776310f, -0.399768620729446410f, 
00215   0.198466703295707700f, -0.398845434188842770f, 
00216   0.197244480252265930f, -0.397918462753295900f, 0.196025103330612180f, 
00217   -0.396987736225128170f, 0.194808602333068850f, -0.396053284406661990f, 
00218   0.193594962358474730f, -0.395115107297897340f, 
00219   0.192384198307991030f, -0.394173204898834230f, 0.191176339983940120f, 
00220   -0.393227607011795040f, 0.189971387386322020f, -0.392278283834457400f, 
00221   0.188769355416297910f, -0.391325294971466060f, 
00222   0.187570258975028990f, -0.390368610620498660f, 0.186374098062515260f, 
00223   -0.389408260583877560f, 0.185180887579917910f, -0.388444244861602780f, 
00224   0.183990627527236940f, -0.387476563453674320f, 
00225   0.182803362607955930f, -0.386505216360092160f, 0.181619063019752500f, 
00226   -0.385530263185501100f, 0.180437773466110230f, -0.384551674127578740f, 
00227   0.179259493947029110f, -0.383569449186325070f, 
00228   0.178084224462509160f, -0.382583618164062500f, 0.176911994814872740f, 
00229   -0.381594210863113400f, 0.175742805004119870f, -0.380601197481155400f, 
00230   0.174576655030250550f, -0.379604607820510860f, 
00231   0.173413574695587160f, -0.378604412078857420f, 0.172253578901290890f, 
00232   -0.377600699663162230f, 0.171096652746200560f, -0.376593410968780520f, 
00233   0.169942826032638550f, -0.375582575798034670f, 
00234   0.168792113661766050f, -0.374568194150924680f, 0.167644515633583070f, 
00235   -0.373550295829772950f, 0.166500031948089600f, -0.372528880834579470f, 
00236   0.165358707308769230f, -0.371503978967666630f, 
00237   0.164220526814460750f, -0.370475560426712040f, 0.163085505366325380f, 
00238   -0.369443655014038090f, 0.161953642964363100f, -0.368408292531967160f, 
00239   0.160824984312057500f, -0.367369443178176880f, 
00240   0.159699499607086180f, -0.366327136754989620f, 0.158577233552932740f, 
00241   -0.365281373262405400f, 0.157458171248435970f, -0.364232182502746580f, 
00242   0.156342327594757080f, -0.363179564476013180f, 
00243   0.155229732394218440f, -0.362123548984527590f, 0.154120370745658870f, 
00244   -0.361064106225967410f, 0.153014272451400760f, -0.360001266002655030f, 
00245   0.151911437511444090f, -0.358935028314590450f, 
00246   0.150811880826950070f, -0.357865422964096070f, 0.149715602397918700f, 
00247   -0.356792420148849490f, 0.148622632026672360f, -0.355716109275817870f, 
00248   0.147532954812049870f, -0.354636400938034060f, 
00249   0.146446615457534790f, -0.353553384542465210f, 0.145363584160804750f, 
00250   -0.352467030286788940f, 0.144283905625343320f, -0.351377367973327640f, 
00251   0.143207564949989320f, -0.350284397602081300f, 
00252   0.142134591937065120f, -0.349188119173049930f, 0.141064971685409550f, 
00253   -0.348088562488555910f, 0.139998748898506160f, -0.346985727548599240f, 
00254   0.138935908675193790f, -0.345879614353179930f, 
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00698   0.252217382192611690f, 0.434285342693328860f, 
00699   0.253550916910171510f, 0.435043483972549440f, 0.254886746406555180f, 
00700   0.435797542333602910f, 0.256224930286407470f, 0.436547487974166870f, 
00701   0.257565379142761230f, 0.437293320894241330f, 
00702   0.258908122777938840f, 0.438035041093826290f, 0.260253131389617920f, 
00703   0.438772648572921750f, 0.261600375175476070f, 0.439506113529205320f, 
00704   0.262949883937835690f, 0.440235435962677000f, 
00705   0.264301627874374390f, 0.440960645675659180f, 0.265655577182769780f, 
00706   0.441681683063507080f, 0.267011761665344240f, 0.442398548126220700f, 
00707   0.268370121717453000f, 0.443111270666122440f, 
00708   0.269730657339096070f, 0.443819820880889890f, 0.271093338727951050f, 
00709   0.444524168968200680f, 0.272458195686340330f, 0.445224374532699580f, 
00710   0.273825198411941530f, 0.445920348167419430f, 
00711   0.275194346904754640f, 0.446612149477005000f, 0.276565581560134890f, 
00712   0.447299748659133910f, 0.277938932180404660f, 0.447983115911483760f, 
00713   0.279314368963241580f, 0.448662281036376950f, 
00714   0.280691891908645630f, 0.449337244033813480f, 0.282071471214294430f, 
00715   0.450007945299148560f, 0.283453077077865600f, 0.450674414634704590f, 
00716   0.284836769104003910f, 0.451336652040481570f, 
00717   0.286222457885742190f, 0.451994657516479490f, 0.287610173225402830f, 
00718   0.452648371458053590f, 0.288999855518341060f, 0.453297853469848630f, 
00719   0.290391564369201660f, 0.453943043947219850f, 
00720   0.291785210371017460f, 0.454584002494812010f, 0.293180853128433230f, 
00721   0.455220639705657960f, 0.294578403234481810f, 0.455853015184402470f, 
00722   0.295977920293807980f, 0.456481099128723140f, 
00723   0.297379344701766970f, 0.457104891538620000f, 0.298782676458358760f, 
00724   0.457724362611770630f, 0.300187885761260990f, 0.458339542150497440f, 
00725   0.301595002412796020f, 0.458950400352478030f, 
00726   0.303003966808319090f, 0.459556937217712400f, 0.304414808750152590f, 
00727   0.460159152746200560f, 0.305827468633651730f, 0.460757017135620120f, 
00728   0.307241976261138920f, 0.461350560188293460f, 
00729   0.308658272027969360f, 0.461939752101898190f, 0.310076385736465450f, 
00730   0.462524622678756710f, 0.311496287584304810f, 0.463105112314224240f, 
00731   0.312917977571487430f, 0.463681250810623170f, 
00732   0.314341396093368530f, 0.464253038167953490f, 0.315766572952270510f, 
00733   0.464820444583892820f, 0.317193508148193360f, 0.465383470058441160f, 
00734   0.318622142076492310f, 0.465942144393920900f, 
00735   0.320052474737167360f, 0.466496407985687260f, 0.321484506130218510f, 
00736   0.467046260833740230f, 0.322918236255645750f, 0.467591762542724610f, 
00737   0.324353635311126710f, 0.468132823705673220f, 
00738   0.325790673494338990f, 0.468669503927230830f, 0.327229350805282590f, 
00739   0.469201773405075070f, 0.328669637441635130f, 0.469729602336883540f, 
00740   0.330111563205718990f, 0.470253020524978640f, 
00741   0.331555068492889400f, 0.470772027969360350f, 0.333000183105468750f, 
00742   0.471286594867706300f, 0.334446847438812260f, 0.471796721220016480f, 
00743   0.335895091295242310f, 0.472302407026290890f, 
00744   0.337344855070114140f, 0.472803652286529540f, 0.338796168565750120f, 
00745   0.473300457000732420f, 0.340248972177505490f, 0.473792791366577150f, 
00746   0.341703325510025020f, 0.474280685186386110f, 
00747   0.343159139156341550f, 0.474764078855514530f, 0.344616413116455080f, 
00748   0.475243031978607180f, 0.346075177192687990f, 0.475717514753341670f, 
00749   0.347535371780395510f, 0.476187497377395630f, 
00750   0.348997026681900020f, 0.476653009653091430f, 0.350460082292556760f, 
00751   0.477114051580429080f, 0.351924568414688110f, 0.477570593357086180f, 
00752   0.353390425443649290f, 0.478022634983062740f, 
00753   0.354857653379440310f, 0.478470176458358760f, 0.356326282024383540f, 
00754   0.478913217782974240f, 0.357796221971511840f, 0.479351729154586790f, 
00755   0.359267532825469970f, 0.479785770177841190f, 
00756   0.360740154981613160f, 0.480215251445770260f, 0.362214088439941410f, 
00757   0.480640232563018800f, 0.363689333200454710f, 0.481060713529586790f, 
00758   0.365165829658508300f, 0.481476634740829470f, 
00759   0.366643607616424560f, 0.481888025999069210f, 0.368122667074203490f, 
00760   0.482294887304306030f, 0.369602948427200320f, 0.482697218656539920f, 
00761   0.371084451675415040f, 0.483094990253448490f, 
00762   0.372567176818847660f, 0.483488231897354130f, 0.374051094055175780f, 
00763   0.483876913785934450f, 0.375536203384399410f, 0.484261035919189450f, 
00764   0.377022475004196170f, 0.484640628099441530f, 
00765   0.378509908914566040f, 0.485015630722045900f, 0.379998475313186650f, 
00766   0.485386073589324950f, 0.381488204002380370f, 0.485751956701278690f, 
00767   0.382979035377502440f, 0.486113250255584720f, 
00768   0.384470939636230470f, 0.486469984054565430f, 0.385963946580886840f, 
00769   0.486822128295898440f, 0.387458056211471560f, 0.487169682979583740f, 
00770   0.388953179121017460f, 0.487512677907943730f, 
00771   0.390449374914169310f, 0.487851053476333620f, 0.391946613788604740f, 
00772   0.488184869289398190f, 0.393444836139678960f, 0.488514065742492680f, 
00773   0.394944071769714360f, 0.488838672637939450f, 
00774   0.396444320678710940f, 0.489158689975738530f, 0.397945523262023930f, 
00775   0.489474087953567500f, 0.399447679519653320f, 0.489784896373748780f, 
00776   0.400950789451599120f, 0.490091055631637570f, 
00777   0.402454853057861330f, 0.490392625331878660f, 0.403959810733795170f, 
00778   0.490689605474472050f, 0.405465662479400630f, 0.490981936454772950f, 
00779   0.406972438097000120f, 0.491269648075103760f, 
00780   0.408480048179626460f, 0.491552740335464480f, 0.409988552331924440f, 
00781   0.491831213235855100f, 0.411497890949249270f, 0.492105036973953250f, 
00782   0.413008064031600950f, 0.492374241352081300f, 
00783   0.414519041776657100f, 0.492638826370239260f, 0.416030853986740110f, 
00784   0.492898762226104740f, 0.417543441057205200f, 0.493154048919677730f, 
00785   0.419056802988052370f, 0.493404686450958250f, 
00786   0.420570939779281620f, 0.493650704622268680f, 0.422085791826248170f, 
00787   0.493892073631286620f, 0.423601418733596800f, 0.494128793478012080f, 
00788   0.425117731094360350f, 0.494360834360122680f, 
00789   0.426634758710861210f, 0.494588255882263180f, 0.428152471780776980f, 
00790   0.494810998439788820f, 0.429670870304107670f, 0.495029091835021970f, 
00791   0.431189924478530880f, 0.495242536067962650f, 
00792   0.432709634304046630f, 0.495451331138610840f, 0.434229999780654910f, 
00793   0.495655417442321780f, 0.435750931501388550f, 0.495854884386062620f, 
00794   0.437272518873214720f, 0.496049642562866210f, 
00795   0.438794672489166260f, 0.496239781379699710f, 0.440317392349243160f, 
00796   0.496425211429595950f, 0.441840678453445430f, 0.496605962514877320f, 
00797   0.443364530801773070f, 0.496782064437866210f, 
00798   0.444888889789581300f, 0.496953487396240230f, 0.446413785219192500f, 
00799   0.497120231389999390f, 0.447939187288284300f, 0.497282296419143680f, 
00800   0.449465066194534300f, 0.497439652681350710f, 
00801   0.450991421937942500f, 0.497592359781265260f, 0.452518254518508910f, 
00802   0.497740387916564940f, 0.454045534133911130f, 0.497883707284927370f, 
00803   0.455573230981826780f, 0.498022347688674930f, 
00804   0.457101345062255860f, 0.498156309127807620f, 0.458629876375198360f, 
00805   0.498285561800003050f, 0.460158795118331910f, 0.498410135507583620f, 
00806   0.461688071489334110f, 0.498530030250549320f, 
00807   0.463217705488204960f, 0.498645216226577760f, 0.464747726917266850f, 
00808   0.498755723237991330f, 0.466278046369552610f, 0.498861521482467650f, 
00809   0.467808693647384640f, 0.498962640762329100f, 
00810   0.469339638948440550f, 0.499059051275253300f, 0.470870882272720340f, 
00811   0.499150782823562620f, 0.472402364015579220f, 0.499237775802612300f, 
00812   0.473934143781661990f, 0.499320119619369510f, 
00813   0.475466161966323850f, 0.499397724866867070f, 0.476998418569564820f, 
00814   0.499470651149749760f, 0.478530883789062500f, 0.499538868665695190f, 
00815   0.480063527822494510f, 0.499602377414703370f, 
00816   0.481596380472183230f, 0.499661177396774290f, 0.483129411935806270f, 
00817   0.499715298414230350f, 0.484662592411041260f, 0.499764710664749150f, 
00818   0.486195921897888180f, 0.499809414148330690f, 
00819   0.487729400396347050f, 0.499849408864974980f, 0.489262968301773070f, 
00820   0.499884694814682010f, 0.490796625614166260f, 0.499915301799774170f, 
00821   0.492330402135849000f, 0.499941170215606690f, 
00822   0.493864238262176510f, 0.499962359666824340f, 0.495398133993148800f, 
00823   0.499978810548782350f, 0.496932059526443480f, 0.499990582466125490f, 
00824   0.498466014862060550f, 0.499997645616531370f 
00825 }; 
00826  
00827  
00828 /**  
00829 * \par 
00830 * Generation of realCoefB array:  
00831 * \par 
00832 * n = 1024  
00833 * <pre>for (i = 0; i < n; i++)  
00834 * {  
00835 *    pBTable[2 * i] = 0.5 * (1.0 + sin (2 * PI / (double) (2 * n) * (double) i));  
00836 *    pBTable[2 * i + 1] = 0.5 * (1.0 * cos (2 * PI / (double) (2 * n) * (double) i));  
00837 *  } </pre>  
00838 *  
00839 */ 
00840 static const float32_t realCoefB [2048] = { 
00841   0.500000000000000000f, 0.500000000000000000f, 0.501533985137939450f, 
00842   0.499997645616531370f, 0.503067970275878910f, 0.499990582466125490f, 
00843   0.504601895809173580f, 0.499978810548782350f, 
00844   0.506135761737823490f, 0.499962359666824340f, 0.507669627666473390f, 
00845   0.499941170215606690f, 0.509203374385833740f, 0.499915301799774170f, 
00846   0.510737061500549320f, 0.499884694814682010f, 
00847   0.512270629405975340f, 0.499849408864974980f, 0.513804078102111820f, 
00848   0.499809414148330690f, 0.515337407588958740f, 0.499764710664749150f, 
00849   0.516870558261871340f, 0.499715298414230350f, 
00850   0.518403589725494380f, 0.499661177396774290f, 0.519936442375183110f, 
00851   0.499602377414703370f, 0.521469116210937500f, 0.499538868665695190f, 
00852   0.523001611232757570f, 0.499470651149749760f, 
00853   0.524533808231353760f, 0.499397724866867070f, 0.526065826416015630f, 
00854   0.499320119619369510f, 0.527597606182098390f, 0.499237775802612300f, 
00855   0.529129147529602050f, 0.499150782823562620f, 
00856   0.530660390853881840f, 0.499059051275253300f, 0.532191336154937740f, 
00857   0.498962640762329100f, 0.533721983432769780f, 0.498861521482467650f, 
00858   0.535252273082733150f, 0.498755723237991330f, 
00859   0.536782264709472660f, 0.498645216226577760f, 0.538311958312988280f, 
00860   0.498530030250549320f, 0.539841234683990480f, 0.498410135507583620f, 
00861   0.541370153427124020f, 0.498285561800003050f, 
00862   0.542898654937744140f, 0.498156309127807620f, 0.544426798820495610f, 
00863   0.498022347688674930f, 0.545954465866088870f, 0.497883707284927370f, 
00864   0.547481775283813480f, 0.497740387916564940f, 
00865   0.549008548259735110f, 0.497592359781265260f, 0.550534904003143310f, 
00866   0.497439652681350710f, 0.552060842514038090f, 0.497282296419143680f, 
00867   0.553586184978485110f, 0.497120231389999390f, 
00868   0.555111110210418700f, 0.496953487396240230f, 0.556635499000549320f, 
00869   0.496782064437866210f, 0.558159291744232180f, 0.496605962514877320f, 
00870   0.559682607650756840f, 0.496425211429595950f, 
00871   0.561205327510833740f, 0.496239781379699710f, 0.562727510929107670f, 
00872   0.496049642562866210f, 0.564249038696289060f, 0.495854884386062620f, 
00873   0.565770030021667480f, 0.495655417442321780f, 
00874   0.567290365695953370f, 0.495451331138610840f, 0.568810045719146730f, 
00875   0.495242536067962650f, 0.570329129695892330f, 0.495029091835021970f, 
00876   0.571847498416900630f, 0.494810998439788820f, 
00877   0.573365211486816410f, 0.494588255882263180f, 0.574882268905639650f, 
00878   0.494360834360122680f, 0.576398611068725590f, 0.494128793478012080f, 
00879   0.577914178371429440f, 0.493892073631286620f, 
00880   0.579429090023040770f, 0.493650704622268680f, 0.580943167209625240f, 
00881   0.493404686450958250f, 0.582456588745117190f, 0.493154048919677730f, 
00882   0.583969175815582280f, 0.492898762226104740f, 
00883   0.585480928421020510f, 0.492638826370239260f, 0.586991965770721440f, 
00884   0.492374241352081300f, 0.588502109050750730f, 0.492105036973953250f, 
00885   0.590011477470397950f, 0.491831213235855100f, 
00886   0.591519951820373540f, 0.491552740335464480f, 0.593027591705322270f, 
00887   0.491269648075103760f, 0.594534337520599370f, 0.490981936454772950f, 
00888   0.596040189266204830f, 0.490689605474472050f, 
00889   0.597545146942138670f, 0.490392625331878660f, 0.599049210548400880f, 
00890   0.490091055631637570f, 0.600552320480346680f, 0.489784896373748780f, 
00891   0.602054476737976070f, 0.489474087953567500f, 
00892   0.603555679321289060f, 0.489158689975738530f, 0.605055928230285640f, 
00893   0.488838672637939450f, 0.606555163860321040f, 0.488514065742492680f, 
00894   0.608053386211395260f, 0.488184869289398190f, 
00895   0.609550595283508300f, 0.487851053476333620f, 0.611046791076660160f, 
00896   0.487512677907943730f, 0.612541973590850830f, 0.487169682979583740f, 
00897   0.614036023616790770f, 0.486822128295898440f, 
00898   0.615529060363769530f, 0.486469984054565430f, 0.617020964622497560f, 
00899   0.486113250255584720f, 0.618511795997619630f, 0.485751956701278690f, 
00900   0.620001494884490970f, 0.485386073589324950f, 
00901   0.621490061283111570f, 0.485015630722045900f, 0.622977554798126220f, 
00902   0.484640628099441530f, 0.624463796615600590f, 0.484261035919189450f, 
00903   0.625948905944824220f, 0.483876913785934450f, 
00904   0.627432823181152340f, 0.483488231897354130f, 0.628915548324584960f, 
00905   0.483094990253448490f, 0.630397081375122070f, 0.482697218656539920f, 
00906   0.631877362728118900f, 0.482294887304306030f, 
00907   0.633356392383575440f, 0.481888025999069210f, 0.634834170341491700f, 
00908   0.481476634740829470f, 0.636310696601867680f, 0.481060713529586790f, 
00909   0.637785911560058590f, 0.480640232563018800f, 
00910   0.639259815216064450f, 0.480215251445770260f, 0.640732467174530030f, 
00911   0.479785770177841190f, 0.642203748226165770f, 0.479351729154586790f, 
00912   0.643673717975616460f, 0.478913217782974240f, 
00913   0.645142316818237300f, 0.478470176458358760f, 0.646609604358673100f, 
00914   0.478022634983062740f, 0.648075461387634280f, 0.477570593357086180f, 
00915   0.649539887905120850f, 0.477114051580429080f, 
00916   0.651003003120422360f, 0.476653009653091430f, 0.652464628219604490f, 
00917   0.476187497377395630f, 0.653924822807312010f, 0.475717514753341670f, 
00918   0.655383586883544920f, 0.475243031978607180f, 
00919   0.656840860843658450f, 0.474764078855514530f, 0.658296704292297360f, 
00920   0.474280685186386110f, 0.659750998020172120f, 0.473792791366577150f, 
00921   0.661203861236572270f, 0.473300457000732420f, 
00922   0.662655174732208250f, 0.472803652286529540f, 0.664104938507080080f, 
00923   0.472302407026290890f, 0.665553152561187740f, 0.471796721220016480f, 
00924   0.666999816894531250f, 0.471286594867706300f, 
00925   0.668444931507110600f, 0.470772027969360350f, 0.669888436794281010f, 
00926   0.470253020524978640f, 0.671330332756042480f, 0.469729602336883540f, 
00927   0.672770678997039790f, 0.469201773405075070f, 
00928   0.674209356307983400f, 0.468669503927230830f, 0.675646364688873290f, 
00929   0.468132823705673220f, 0.677081763744354250f, 0.467591762542724610f, 
00930   0.678515493869781490f, 0.467046260833740230f, 
00931   0.679947495460510250f, 0.466496407985687260f, 0.681377887725830080f, 
00932   0.465942144393920900f, 0.682806491851806640f, 0.465383470058441160f, 
00933   0.684233427047729490f, 0.464820444583892820f, 
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01586   -0.497740387916564940f, 0.545954465866088870f, -0.497883707284927370f, 
01587   0.544426798820495610f, -0.498022347688674930f, 
01588   0.542898654937744140f, -0.498156309127807620f, 0.541370153427124020f, 
01589   -0.498285561800003050f, 0.539841234683990480f, -0.498410135507583620f, 
01590   0.538311958312988280f, -0.498530030250549320f, 
01591   0.536782264709472660f, -0.498645216226577760f, 0.535252273082733150f, 
01592   -0.498755723237991330f, 0.533721983432769780f, -0.498861521482467650f, 
01593   0.532191336154937740f, -0.498962640762329100f, 
01594   0.530660390853881840f, -0.499059051275253300f, 0.529129147529602050f, 
01595   -0.499150782823562620f, 0.527597606182098390f, -0.499237775802612300f, 
01596   0.526065826416015630f, -0.499320119619369510f, 
01597   0.524533808231353760f, -0.499397724866867070f, 0.523001611232757570f, 
01598   -0.499470651149749760f, 0.521469116210937500f, -0.499538868665695190f, 
01599   0.519936442375183110f, -0.499602377414703370f, 
01600   0.518403589725494380f, -0.499661177396774290f, 0.516870558261871340f, 
01601   -0.499715298414230350f, 0.515337407588958740f, -0.499764710664749150f, 
01602   0.513804078102111820f, -0.499809414148330690f, 
01603   0.512270629405975340f, -0.499849408864974980f, 0.510737061500549320f, 
01604   -0.499884694814682010f, 0.509203374385833740f, -0.499915301799774170f, 
01605   0.507669627666473390f, -0.499941170215606690f, 
01606   0.506135761737823490f, -0.499962359666824340f, 0.504601895809173580f, 
01607   -0.499978810548782350f, 0.503067970275878910f, -0.499990582466125490f, 
01608   0.501533985137939450f, -0.499997645616531370f 
01609 }; 
01610  
01611  
01612  
01613 /**  
01614 * @brief  Initialization function for the floating-point RFFT/RIFFT. 
01615 * @param[in,out] *S             points to an instance of the floating-point RFFT/RIFFT structure. 
01616 * @param[in,out] *S_CFFT        points to an instance of the floating-point CFFT/CIFFT structure. 
01617 * @param[in]     fftLenReal     length of the FFT. 
01618 * @param[in]     ifftFlagR      flag that selects forward (ifftFlagR=0) or inverse (ifftFlagR=1) transform. 
01619 * @param[in]     bitReverseFlag flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. 
01620 * @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. 
01621 *  
01622 * \par Description: 
01623 * \par 
01624 * The parameter <code>fftLenReal</code> Specifies length of RFFT/RIFFT Process. Supported FFT Lengths are 128, 512, 2048.  
01625 * \par  
01626 * The parameter <code>ifftFlagR</code> controls whether a forward or inverse transform is computed.  
01627 * Set(=1) ifftFlagR to calculate RIFFT, otherwise RFFT is calculated.  
01628 * \par  
01629 * The parameter <code>bitReverseFlag</code> controls whether output is in normal order or bit reversed order.  
01630 * Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order. 
01631 * \par  
01632 * This function also initializes Twiddle factor table.   
01633 */ 
01634  
01635 arm_status arm_rfft_init_f32( 
01636   arm_rfft_instance_f32 * S, 
01637   arm_cfft_radix4_instance_f32 * S_CFFT, 
01638   uint32_t fftLenReal, 
01639   uint32_t ifftFlagR, 
01640   uint32_t bitReverseFlag) 
01641 { 
01642  
01643   /*  Initialise the default arm status */ 
01644   arm_status status = ARM_MATH_SUCCESS; 
01645  
01646   /*  Initialize the Real FFT length */ 
01647   S->fftLenReal = (uint16_t) fftLenReal; 
01648  
01649   /*  Initialize the Complex FFT length */ 
01650   S->fftLenBy2 = (uint16_t) fftLenReal / 2u; 
01651  
01652   /*  Initialize the Twiddle coefficientA pointer */ 
01653   S->pTwiddleAReal = (float32_t *) realCoefA ; 
01654  
01655   /*  Initialize the Twiddle coefficientB pointer */ 
01656   S->pTwiddleBReal = (float32_t *) realCoefB ; 
01657  
01658   /*  Initialize the Flag for selection of RFFT or RIFFT */ 
01659   S->ifftFlagR = (uint8_t) ifftFlagR; 
01660  
01661   /*  Initialize the Flag for calculation Bit reversal or not */ 
01662   S->bitReverseFlagR = (uint8_t) bitReverseFlag; 
01663  
01664   /*  Initializations of structure parameters depending on the FFT length */ 
01665   switch (S->fftLenReal) 
01666   { 
01667     /* Init table modifier value */ 
01668   case 2048u: 
01669     S->twidCoefRModifier = 1u; 
01670     break; 
01671   case 512u: 
01672     S->twidCoefRModifier = 4u; 
01673     break; 
01674   case 128u: 
01675     S->twidCoefRModifier = 16u; 
01676     break; 
01677   default: 
01678     /*  Reporting argument error if rfftSize is not valid value */ 
01679     status = ARM_MATH_ARGUMENT_ERROR; 
01680     break; 
01681   } 
01682  
01683   /* Init Complex FFT Instance */ 
01684   S->pCfft = S_CFFT; 
01685  
01686   if(S->ifftFlagR) 
01687   { 
01688     /* Initializes the CIFFT Module for fftLenreal/2 length */ 
01689     arm_cfft_radix4_init_f32(S->pCfft, S->fftLenBy2, 1u, 0u); 
01690   } 
01691   else 
01692   { 
01693     /* Initializes the CFFT Module for fftLenreal/2 length */ 
01694     arm_cfft_radix4_init_f32(S->pCfft, S->fftLenBy2, 0u, 0u); 
01695   } 
01696  
01697   /* return the status of RFFT Init function */ 
01698   return (status); 
01699  
01700 } 
01701  
01702   /**  
01703    * @} end of RFFT_RIFFT group  
01704    */