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00026 #include "arm_math.h"
00027 #include "arm_common_tables.h"
00028
00038
00039
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00041
00042
00059 static const float32_t twiddleCoef[8192] = {
00060 1.000000000000000000f, 0.000000000000000000f, 0.999998823451701880f, 0.001533980186284766f, 0.999995293809576190f, 0.003067956762965976f,
00061 0.999989411081928400f, 0.004601926120448571f, 0.999981175282601110f, 0.006135884649154475f, 0.999970586430974140f, 0.007669828739531097f,
00062 0.999957644551963900f, 0.009203754782059819f, 0.999942349676023910f, 0.010737659167264491f, 0.999924701839144500f, 0.012271538285719925f,
00063 0.999904701082852900f, 0.013805388528060391f, 0.999882347454212560f, 0.015339206284988100f, 0.999857641005823860f, 0.016872987947281710f,
00064 0.999830581795823400f, 0.018406729905804820f, 0.999801169887884260f, 0.019940428551514441f, 0.999769405351215280f, 0.021474080275469508f,
00065 0.999735288260561680f, 0.023007681468839369f, 0.999698818696204250f, 0.024541228522912288f, 0.999659996743959220f, 0.026074717829103901f,
00066 0.999618822495178640f, 0.027608145778965740f, 0.999575296046749220f, 0.029141508764193722f, 0.999529417501093140f, 0.030674803176636626f,
00067 0.999481186966166950f, 0.032208025408304586f, 0.999430604555461730f, 0.033741171851377580f, 0.999377670388002850f, 0.035274238898213947f,
00068 0.999322384588349540f, 0.036807222941358832f, 0.999264747286594420f, 0.038340120373552694f, 0.999204758618363890f, 0.039872927587739811f,
00069 0.999142418724816910f, 0.041405640977076739f, 0.999077727752645360f, 0.042938256934940820f, 0.999010685854073380f, 0.044470771854938668f,
00070 0.998941293186856870f, 0.046003182130914623f, 0.998869549914283560f, 0.047535484156959303f, 0.998795456205172410f, 0.049067674327418015f,
00071 0.998719012233872940f, 0.050599749036899282f, 0.998640218180265270f, 0.052131704680283324f, 0.998559074229759310f, 0.053663537652730520f,
00072 0.998475580573294770f, 0.055195244349689934f, 0.998389737407340160f, 0.056726821166907748f, 0.998301544933892890f, 0.058258264500435752f,
00073 0.998211003360478190f, 0.059789570746639868f, 0.998118112900149180f, 0.061320736302208578f, 0.998022873771486240f, 0.062851757564161406f,
00074 0.997925286198596000f, 0.064382630929857465f, 0.997825350411111640f, 0.065913352797003805f, 0.997723066644191640f, 0.067443919563664051f,
00075 0.997618435138519550f, 0.068974327628266746f, 0.997511456140303450f, 0.070504573389613856f, 0.997402129901275300f, 0.072034653246889332f,
00076 0.997290456678690210f, 0.073564563599667426f, 0.997176436735326190f, 0.075094300847921305f, 0.997060070339482960f, 0.076623861392031492f,
00077 0.996941357764982160f, 0.078153241632794232f, 0.996820299291165670f, 0.079682437971430126f, 0.996696895202896060f, 0.081211446809592441f,
00078 0.996571145790554840f, 0.082740264549375692f, 0.996443051350042630f, 0.084268887593324071f, 0.996312612182778000f, 0.085797312344439894f,
00079 0.996179828595696980f, 0.087325535206192059f, 0.996044700901251970f, 0.088853552582524600f, 0.995907229417411720f, 0.090381360877864983f,
00080 0.995767414467659820f, 0.091908956497132724f, 0.995625256380994310f, 0.093436335845747787f, 0.995480755491926940f, 0.094963495329638992f,
00081 0.995333912140482280f, 0.096490431355252593f, 0.995184726672196930f, 0.098017140329560604f, 0.995033199438118630f, 0.099543618660069319f,
00082 0.994879330794805620f, 0.101069862754827820f, 0.994723121104325700f, 0.102595869022436280f, 0.994564570734255420f, 0.104121633872054590f,
00083 0.994403680057679100f, 0.105647153713410620f, 0.994240449453187900f, 0.107172424956808840f, 0.994074879304879370f, 0.108697444013138720f,
00084 0.993906970002356060f, 0.110222207293883060f, 0.993736721940724600f, 0.111746711211126590f, 0.993564135520595300f, 0.113270952177564350f,
00085 0.993389211148080650f, 0.114794926606510080f, 0.993211949234794500f, 0.116318630911904750f, 0.993032350197851410f, 0.117842061508324980f,
00086 0.992850414459865100f, 0.119365214810991350f, 0.992666142448948020f, 0.120888087235777080f, 0.992479534598709970f, 0.122410675199216200f,
00087 0.992290591348257370f, 0.123932975118512160f, 0.992099313142191800f, 0.125454983411546230f, 0.991905700430609330f, 0.126976696496885870f,
00088 0.991709753669099530f, 0.128498110793793170f, 0.991511473318743900f, 0.130019222722233350f, 0.991310859846115440f, 0.131540028702883120f,
00089 0.991107913723276890f, 0.133060525157139060f, 0.990902635427780010f, 0.134580708507126170f, 0.990695025442664630f, 0.136100575175706200f,
00090 0.990485084256457090f, 0.137620121586486040f, 0.990272812363169110f, 0.139139344163826200f, 0.990058210262297120f, 0.140658239332849210f,
00091 0.989841278458820530f, 0.142176803519448030f, 0.989622017463200890f, 0.143695033150294470f, 0.989400427791380380f, 0.145212924652847460f,
00092 0.989176509964781010f, 0.146730474455361750f, 0.988950264510302990f, 0.148247678986896030f, 0.988721691960323780f, 0.149764534677321510f,
00093 0.988490792852696590f, 0.151281037957330220f, 0.988257567730749460f, 0.152797185258443440f, 0.988022017143283530f, 0.154312973013020100f,
00094 0.987784141644572180f, 0.155828397654265230f, 0.987543941794359230f, 0.157343455616238250f, 0.987301418157858430f, 0.158858143333861450f,
00095 0.987056571305750970f, 0.160372457242928280f, 0.986809401814185530f, 0.161886393780111830f, 0.986559910264775410f, 0.163399949382973230f,
00096 0.986308097244598670f, 0.164913120489969890f, 0.986053963346195440f, 0.166425903540464100f, 0.985797509167567480f, 0.167938294974731170f,
00097 0.985538735312176060f, 0.169450291233967960f, 0.985277642388941220f, 0.170961888760301220f, 0.985014231012239840f, 0.172473083996795950f,
00098 0.984748501801904210f, 0.173983873387463820f, 0.984480455383220930f, 0.175494253377271430f, 0.984210092386929030f, 0.177004220412148750f,
00099 0.983937413449218920f, 0.178513770938997510f, 0.983662419211730250f, 0.180022901405699510f, 0.983385110321551180f, 0.181531608261124970f,
00100 0.983105487431216290f, 0.183039887955140950f, 0.982823551198705240f, 0.184547736938619620f, 0.982539302287441240f, 0.186055151663446630f,
00101 0.982252741366289370f, 0.187562128582529600f, 0.981963869109555240f, 0.189068664149806190f, 0.981672686196983110f, 0.190574754820252740f,
00102 0.981379193313754560f, 0.192080397049892440f, 0.981083391150486710f, 0.193585587295803610f, 0.980785280403230430f, 0.195090322016128250f,
00103 0.980484861773469380f, 0.196594597670080220f, 0.980182135968117430f, 0.198098410717953560f, 0.979877103699517640f, 0.199601757621130970f,
00104 0.979569765685440520f, 0.201104634842091900f, 0.979260122649082020f, 0.202607038844421130f, 0.978948175319062200f, 0.204108966092816870f,
00105 0.978633924429423210f, 0.205610413053099240f, 0.978317370719627650f, 0.207111376192218560f, 0.977998514934557140f, 0.208611851978263490f,
00106 0.977677357824509930f, 0.210111836880469610f, 0.977353900145199960f, 0.211611327369227550f, 0.977028142657754390f, 0.213110319916091360f,
00107 0.976700086128711840f, 0.214608810993786760f, 0.976369731330021140f, 0.216106797076219520f, 0.976037079039039020f, 0.217604274638483640f,
00108 0.975702130038528570f, 0.219101240156869800f, 0.975364885116656980f, 0.220597690108873510f, 0.975025345066994120f, 0.222093620973203510f,
00109 0.974683510688510670f, 0.223589029229789990f, 0.974339382785575860f, 0.225083911359792830f, 0.973992962167955830f, 0.226578263845610000f,
00110 0.973644249650811980f, 0.228072083170885730f, 0.973293246054698250f, 0.229565365820518870f, 0.972939952205560180f, 0.231058108280671110f,
00111 0.972584368934732210f, 0.232550307038775240f, 0.972226497078936270f, 0.234041958583543430f, 0.971866337480279400f, 0.235533059404975490f,
00112 0.971503890986251780f, 0.237023605994367200f, 0.971139158449725090f, 0.238513594844318420f, 0.970772140728950350f, 0.240003022448741500f,
00113 0.970402838687555500f, 0.241491885302869330f, 0.970031253194543970f, 0.242980179903263870f, 0.969657385124292450f, 0.244467902747824150f,
00114 0.969281235356548530f, 0.245955050335794590f, 0.968902804776428870f, 0.247441619167773270f, 0.968522094274417380f, 0.248927605745720150f,
00115 0.968139104746362440f, 0.250413006572965220f, 0.967753837093475510f, 0.251897818154216970f, 0.967366292222328510f, 0.253382036995570160f,
00116 0.966976471044852070f, 0.254865659604514570f, 0.966584374478333120f, 0.256348682489942910f, 0.966190003445412500f, 0.257831102162158990f,
00117 0.965793358874083680f, 0.259312915132886230f, 0.965394441697689400f, 0.260794117915275510f, 0.964993252854920320f, 0.262274707023913590f,
00118 0.964589793289812760f, 0.263754678974831350f, 0.964184063951745830f, 0.265234030285511790f, 0.963776065795439840f, 0.266712757474898370f,
00119 0.963365799780954050f, 0.268190857063403180f, 0.962953266873683880f, 0.269668325572915090f, 0.962538468044359160f, 0.271145159526808010f,
00120 0.962121404269041580f, 0.272621355449948980f, 0.961702076529122540f, 0.274096909868706380f, 0.961280485811320640f, 0.275571819310958140f,
00121 0.960856633107679660f, 0.277046080306099900f, 0.960430519415565790f, 0.278519689385053060f, 0.960002145737665960f, 0.279992643080273220f,
00122 0.959571513081984520f, 0.281464937925757940f, 0.959138622461841890f, 0.282936570457055390f, 0.958703474895871600f, 0.284407537211271880f,
00123 0.958266071408017670f, 0.285877834727080620f, 0.957826413027532910f, 0.287347459544729510f, 0.957384500788975860f, 0.288816408206049480f,
00124 0.956940335732208820f, 0.290284677254462330f, 0.956493918902395100f, 0.291752263234989260f, 0.956045251349996410f, 0.293219162694258630f,
00125 0.955594334130771110f, 0.294685372180514330f, 0.955141168305770780f, 0.296150888243623790f, 0.954685754941338340f, 0.297615707435086200f,
00126 0.954228095109105670f, 0.299079826308040480f, 0.953768189885990330f, 0.300543241417273450f, 0.953306040354193860f, 0.302005949319228080f,
00127 0.952841647601198720f, 0.303467946572011320f, 0.952375012719765880f, 0.304929229735402370f, 0.951906136807932350f, 0.306389795370860920f,
00128 0.951435020969008340f, 0.307849640041534870f, 0.950961666311575080f, 0.309308760312268730f, 0.950486073949481700f, 0.310767152749611470f,
00129 0.950008245001843000f, 0.312224813921824880f, 0.949528180593036670f, 0.313681740398891520f, 0.949045881852700560f, 0.315137928752522440f,
00130 0.948561349915730270f, 0.316593375556165850f, 0.948074585922276230f, 0.318048077385014950f, 0.947585591017741090f, 0.319502030816015690f,
00131 0.947094366352777220f, 0.320955232427875210f, 0.946600913083283530f, 0.322407678801069850f, 0.946105232370403450f, 0.323859366517852850f,
00132 0.945607325380521280f, 0.325310292162262930f, 0.945107193285260610f, 0.326760452320131730f, 0.944604837261480260f, 0.328209843579092500f,
00133 0.944100258491272660f, 0.329658462528587490f, 0.943593458161960390f, 0.331106305759876430f, 0.943084437466093490f, 0.332553369866044220f,
00134 0.942573197601446870f, 0.333999651442009380f, 0.942059739771017310f, 0.335445147084531600f, 0.941544065183020810f, 0.336889853392220050f,
00135 0.941026175050889260f, 0.338333766965541130f, 0.940506070593268300f, 0.339776884406826850f, 0.939983753034014050f, 0.341219202320282360f,
00136 0.939459223602189920f, 0.342660717311994380f, 0.938932483532064600f, 0.344101425989938810f, 0.938403534063108060f, 0.345541324963989090f,
00137 0.937872376439989890f, 0.346980410845923680f, 0.937339011912574960f, 0.348418680249434560f, 0.936803441735921560f, 0.349856129790134920f,
00138 0.936265667170278260f, 0.351292756085567090f, 0.935725689481080370f, 0.352728555755210730f, 0.935183509938947610f, 0.354163525420490340f,
00139 0.934639129819680780f, 0.355597661704783850f, 0.934092550404258980f, 0.357030961233429980f, 0.933543772978836170f, 0.358463420633736540f,
00140 0.932992798834738960f, 0.359895036534988110f, 0.932439629268462360f, 0.361325805568454280f, 0.931884265581668150f, 0.362755724367397230f,
00141 0.931326709081180430f, 0.364184789567079890f, 0.930766961078983710f, 0.365612997804773850f, 0.930205022892219070f, 0.367040345719767180f,
00142 0.929640895843181330f, 0.368466829953372320f, 0.929074581259315860f, 0.369892447148934100f, 0.928506080473215590f, 0.371317193951837540f,
00143 0.927935394822617890f, 0.372741067009515760f, 0.927362525650401110f, 0.374164062971457930f, 0.926787474304581750f, 0.375586178489217220f,
00144 0.926210242138311380f, 0.377007410216418260f, 0.925630830509872720f, 0.378427754808765560f, 0.925049240782677580f, 0.379847208924051160f,
00145 0.924465474325262600f, 0.381265769222162380f, 0.923879532511286740f, 0.382683432365089780f, 0.923291416719527640f, 0.384100195016935040f,
00146 0.922701128333878630f, 0.385516053843918850f, 0.922108668743345180f, 0.386931005514388580f, 0.921514039342042010f, 0.388345046698826250f,
00147 0.920917241529189520f, 0.389758174069856410f, 0.920318276709110590f, 0.391170384302253870f, 0.919717146291227360f, 0.392581674072951470f,
00148 0.919113851690057770f, 0.393992040061048100f, 0.918508394325212250f, 0.395401478947816350f, 0.917900775621390500f, 0.396809987416710310f,
00149 0.917290997008377910f, 0.398217562153373560f, 0.916679059921042700f, 0.399624199845646790f, 0.916064965799331720f, 0.401029897183575620f,
00150 0.915448716088267830f, 0.402434650859418430f, 0.914830312237946200f, 0.403838457567654070f, 0.914209755703530690f, 0.405241314004989860f,
00151 0.913587047945250810f, 0.406643216870369030f, 0.912962190428398210f, 0.408044162864978690f, 0.912335184623322750f, 0.409444148692257590f,
00152 0.911706032005429880f, 0.410843171057903910f, 0.911074734055176360f, 0.412241226669882890f, 0.910441292258067250f, 0.413638312238434500f,
00153 0.909805708104652220f, 0.415034424476081630f, 0.909167983090522380f, 0.416429560097637150f, 0.908528118716306120f, 0.417823715820212270f,
00154 0.907886116487666260f, 0.419216888363223910f, 0.907241977915295820f, 0.420609074448402510f, 0.906595704514915330f, 0.422000270799799680f,
00155 0.905947297807268460f, 0.423390474143796050f, 0.905296759318118820f, 0.424779681209108810f, 0.904644090578246240f, 0.426167888726799620f,
00156 0.903989293123443340f, 0.427555093430282080f, 0.903332368494511820f, 0.428941292055329490f, 0.902673318237258830f, 0.430326481340082610f,
00157 0.902012143902493180f, 0.431710658025057260f, 0.901348847046022030f, 0.433093818853151960f, 0.900683429228646970f, 0.434475960569655650f,
00158 0.900015892016160280f, 0.435857079922255470f, 0.899346236979341570f, 0.437237173661044090f, 0.898674465693953820f, 0.438616238538527660f,
00159 0.898000579740739880f, 0.439994271309633260f, 0.897324580705418320f, 0.441371268731716670f, 0.896646470178680150f, 0.442747227564570020f,
00160 0.895966249756185220f, 0.444122144570429200f, 0.895283921038557580f, 0.445496016513981740f, 0.894599485631382700f, 0.446868840162374160f,
00161 0.893912945145203250f, 0.448240612285219890f, 0.893224301195515320f, 0.449611329654606540f, 0.892533555402764580f, 0.450980989045103860f,
00162 0.891840709392342720f, 0.452349587233770890f, 0.891145764794583180f, 0.453717121000163870f, 0.890448723244757880f, 0.455083587126343840f,
00163 0.889749586383072780f, 0.456448982396883920f, 0.889048355854664570f, 0.457813303598877170f, 0.888345033309596350f, 0.459176547521944090f,
00164 0.887639620402853930f, 0.460538710958240010f, 0.886932118794342190f, 0.461899790702462730f, 0.886222530148880640f, 0.463259783551860150f,
00165 0.885510856136199950f, 0.464618686306237820f, 0.884797098430937790f, 0.465976495767966180f, 0.884081258712634990f, 0.467333208741988420f,
00166 0.883363338665731580f, 0.468688822035827900f, 0.882643339979562790f, 0.470043332459595620f, 0.881921264348355050f, 0.471396736825997640f,
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01399 0.992666142448947910f, -0.120888087235777620f, 0.992850414459864990f, -0.119365214810991760f, 0.993032350197851410f, -0.117842061508325200f,
01400 0.993211949234794500f, -0.116318630911904840f, 0.993389211148080650f, -0.114794926606509990f, 0.993564135520595300f, -0.113270952177564970f,
01401 0.993736721940724600f, -0.111746711211127060f, 0.993906970002356060f, -0.110222207293883360f, 0.994074879304879370f, -0.108697444013138870f,
01402 0.994240449453187900f, -0.107172424956808840f, 0.994403680057679100f, -0.105647153713410440f, 0.994564570734255420f, -0.104121633872055130f,
01403 0.994723121104325700f, -0.102595869022436680f, 0.994879330794805620f, -0.101069862754828060f, 0.995033199438118630f, -0.099543618660069402f,
01404 0.995184726672196930f, -0.098017140329560506f, 0.995333912140482170f, -0.096490431355253231f, 0.995480755491926940f, -0.094963495329639477f,
01405 0.995625256380994310f, -0.093436335845748092f, 0.995767414467659820f, -0.091908956497132877f, 0.995907229417411720f, -0.090381360877864969f,
01406 0.996044700901251970f, -0.088853552582524420f, 0.996179828595696870f, -0.087325535206192628f, 0.996312612182778000f, -0.085797312344440282f,
01407 0.996443051350042630f, -0.084268887593324307f, 0.996571145790554840f, -0.082740264549375761f, 0.996696895202896060f, -0.081211446809592344f,
01408 0.996820299291165670f, -0.079682437971430750f, 0.996941357764982050f, -0.078153241632794718f, 0.997060070339482960f, -0.076623861392031811f,
01409 0.997176436735326080f, -0.075094300847921472f, 0.997290456678690210f, -0.073564563599667412f, 0.997402129901275300f, -0.072034653246889152f,
01410 0.997511456140303450f, -0.070504573389614425f, 0.997618435138519550f, -0.068974327628267135f, 0.997723066644191640f, -0.067443919563664287f,
01411 0.997825350411111640f, -0.065913352797003888f, 0.997925286198596000f, -0.064382630929857368f, 0.998022873771486130f, -0.062851757564162059f,
01412 0.998118112900149180f, -0.061320736302209057f, 0.998211003360478190f, -0.059789570746640187f, 0.998301544933892780f, -0.058258264500435912f,
01413 0.998389737407340160f, -0.056726821166907741f, 0.998475580573294770f, -0.055195244349689775f, 0.998559074229759310f, -0.053663537652731082f,
01414 0.998640218180265160f, -0.052131704680283719f, 0.998719012233872940f, -0.050599749036899518f, 0.998795456205172410f, -0.049067674327418091f,
01415 0.998869549914283560f, -0.047535484156959219f, 0.998941293186856870f, -0.046003182130915268f, 0.999010685854073270f, -0.044470771854939146f,
01416 0.999077727752645360f, -0.042938256934941139f, 0.999142418724816910f, -0.041405640977076899f, 0.999204758618363890f, -0.039872927587739811f,
01417 0.999264747286594420f, -0.038340120373552534f, 0.999322384588349430f, -0.036807222941359394f, 0.999377670388002850f, -0.035274238898214350f,
01418 0.999430604555461730f, -0.033741171851377823f, 0.999481186966166950f, -0.032208025408304662f, 0.999529417501093140f, -0.030674803176636543f,
01419 0.999575296046749220f, -0.029141508764194368f, 0.999618822495178640f, -0.027608145778966225f, 0.999659996743959220f, -0.026074717829104220f,
01420 0.999698818696204250f, -0.024541228522912448f, 0.999735288260561680f, -0.023007681468839372f, 0.999769405351215280f, -0.021474080275469345f,
01421 0.999801169887884260f, -0.019940428551515003f, 0.999830581795823400f, -0.018406729905805226f, 0.999857641005823860f, -0.016872987947281957f,
01422 0.999882347454212560f, -0.015339206284988182f, 0.999904701082852900f, -0.013805388528060311f, 0.999924701839144500f, -0.012271538285720572f,
01423 0.999942349676023910f, -0.010737659167264976f, 0.999957644551963900f, -0.009203754782060144f, 0.999970586430974140f, -0.007669828739531261f,
01424 0.999981175282601110f, -0.006135884649154477f, 0.999989411081928400f, -0.004601926120448411f, 0.999995293809576190f, -0.003067956762966544f,
01425 0.999998823451701880f, -0.001533980186285172f,
01426 };
01427
01449 arm_status arm_cfft_radix4_init_f32(
01450 arm_cfft_radix4_instance_f32 * S,
01451 uint16_t fftLen,
01452 uint8_t ifftFlag,
01453 uint8_t bitReverseFlag)
01454 {
01455
01456 arm_status status = ARM_MATH_SUCCESS;
01457
01458
01459 S->fftLen = fftLen;
01460
01461
01462 S->pTwiddle = (float32_t *) twiddleCoef;
01463
01464
01465 S->ifftFlag = ifftFlag;
01466
01467
01468 S->bitReverseFlag = bitReverseFlag;
01469
01470
01471 switch (S->fftLen)
01472 {
01473
01474 case 4096u:
01475
01476
01477
01478 S->twidCoefModifier = 1u;
01479
01480 S->bitRevFactor = 1u;
01481
01482 S->pBitRevTable = (uint16_t *)armBitRevTable;
01483
01484 S->onebyfftLen = 0.000244140625;
01485 break;
01486
01487 case 1024u:
01488
01489
01490
01491 S->twidCoefModifier = 4u;
01492
01493 S->bitRevFactor = 4u;
01494
01495 S->pBitRevTable = (uint16_t *)&armBitRevTable[3];
01496
01497 S->onebyfftLen = 0.0009765625f;
01498 break;
01499
01500
01501 case 256u:
01502
01503 S->twidCoefModifier = 16u;
01504 S->bitRevFactor = 16u;
01505 S->pBitRevTable = (uint16_t *)&armBitRevTable[15];
01506 S->onebyfftLen = 0.00390625f;
01507 break;
01508
01509 case 64u:
01510
01511 S->twidCoefModifier = 64u;
01512 S->bitRevFactor = 64u;
01513 S->pBitRevTable = (uint16_t *)&armBitRevTable[63];
01514 S->onebyfftLen = 0.015625f;
01515 break;
01516
01517 case 16u:
01518
01519 S->twidCoefModifier = 256u;
01520 S->bitRevFactor = 256u;
01521 S->pBitRevTable = (uint16_t *)&armBitRevTable[255];
01522 S->onebyfftLen = 0.0625f;
01523 break;
01524
01525
01526 default:
01527
01528 status = ARM_MATH_ARGUMENT_ERROR;
01529 break;
01530 }
01531
01532 return (status);
01533 }
01534