arm_dct4_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_dct4_init_f32.c  
00009 *  
00010 * Description:  Initialization function of DCT-4 & IDCT4 F32  
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  
00027  
00028 #include "arm_math.h" 
00029  
00030 /**  
00031  * @ingroup groupTransforms  
00032  */ 
00033  
00034 /**  
00035  * @addtogroup DCT4_IDCT4  
00036  * @{  
00037  */ 
00038  
00039 /*  
00040 * @brief  Weights Table  
00041 */ 
00042  
00043 /**  
00044 * \par  
00045 * Weights tables are generated using the formula : <pre>weights[n] = e^(-j*n*pi/(2*N))</pre>  
00046 * \par  
00047 * C command to generate the table  
00048 * <pre>  
00049 * for(i = 0; i< N; i++)  
00050 * {  
00051 *    weights[2*i]= cos(i*c);  
00052 *    weights[(2*i)+1]= -sin(i * c);  
00053 * } </pre>  
00054 * \par  
00055 * Where <code>N</code> is the Number of weights to be calculated and <code>c</code> is <code>pi/(2*N)</code>  
00056 * \par  
00057 * In the tables below the real and imaginary values are placed alternatively, hence the  
00058 * array length is <code>2*N</code>.  
00059 */ 
00060  
00061 static const float32_t Weights_128 [256] = { 
00062   1.000000000000000000f, 0.000000000000000000f, 0.999924701839144500f, 
00063   -0.012271538285719925f, 
00064   0.999698818696204250f, -0.024541228522912288f, 0.999322384588349540f, 
00065   -0.036807222941358832f, 
00066   0.998795456205172410f, -0.049067674327418015f, 0.998118112900149180f, 
00067   -0.061320736302208578f, 
00068   0.997290456678690210f, -0.073564563599667426f, 0.996312612182778000f, 
00069   -0.085797312344439894f, 
00070   0.995184726672196930f, -0.098017140329560604f, 0.993906970002356060f, 
00071   -0.110222207293883060f, 
00072   0.992479534598709970f, -0.122410675199216200f, 0.990902635427780010f, 
00073   -0.134580708507126170f, 
00074   0.989176509964781010f, -0.146730474455361750f, 0.987301418157858430f, 
00075   -0.158858143333861450f, 
00076   0.985277642388941220f, -0.170961888760301220f, 0.983105487431216290f, 
00077   -0.183039887955140950f, 
00078   0.980785280403230430f, -0.195090322016128250f, 0.978317370719627650f, 
00079   -0.207111376192218560f, 
00080   0.975702130038528570f, -0.219101240156869800f, 0.972939952205560180f, 
00081   -0.231058108280671110f, 
00082   0.970031253194543970f, -0.242980179903263870f, 0.966976471044852070f, 
00083   -0.254865659604514570f, 
00084   0.963776065795439840f, -0.266712757474898370f, 0.960430519415565790f, 
00085   -0.278519689385053060f, 
00086   0.956940335732208820f, -0.290284677254462330f, 0.953306040354193860f, 
00087   -0.302005949319228080f, 
00088   0.949528180593036670f, -0.313681740398891520f, 0.945607325380521280f, 
00089   -0.325310292162262930f, 
00090   0.941544065183020810f, -0.336889853392220050f, 0.937339011912574960f, 
00091   -0.348418680249434560f, 
00092   0.932992798834738960f, -0.359895036534988110f, 0.928506080473215590f, 
00093   -0.371317193951837540f, 
00094   0.923879532511286740f, -0.382683432365089780f, 0.919113851690057770f, 
00095   -0.393992040061048100f, 
00096   0.914209755703530690f, -0.405241314004989860f, 0.909167983090522380f, 
00097   -0.416429560097637150f, 
00098   0.903989293123443340f, -0.427555093430282080f, 0.898674465693953820f, 
00099   -0.438616238538527660f, 
00100   0.893224301195515320f, -0.449611329654606540f, 0.887639620402853930f, 
00101   -0.460538710958240010f, 
00102   0.881921264348355050f, -0.471396736825997640f, 0.876070094195406600f, 
00103   -0.482183772079122720f, 
00104   0.870086991108711460f, -0.492898192229784040f, 0.863972856121586810f, 
00105   -0.503538383725717580f, 
00106   0.857728610000272120f, -0.514102744193221660f, 0.851355193105265200f, 
00107   -0.524589682678468950f, 
00108   0.844853565249707120f, -0.534997619887097150f, 0.838224705554838080f, 
00109   -0.545324988422046460f, 
00110   0.831469612302545240f, -0.555570233019602180f, 0.824589302785025290f, 
00111   -0.565731810783613120f, 
00112   0.817584813151583710f, -0.575808191417845340f, 0.810457198252594770f, 
00113   -0.585797857456438860f, 
00114   0.803207531480644940f, -0.595699304492433360f, 0.795836904608883570f, 
00115   -0.605511041404325550f, 
00116   0.788346427626606340f, -0.615231590580626820f, 0.780737228572094490f, 
00117   -0.624859488142386340f, 
00118   0.773010453362736990f, -0.634393284163645490f, 0.765167265622458960f, 
00119   -0.643831542889791390f, 
00120   0.757208846506484570f, -0.653172842953776760f, 0.749136394523459370f, 
00121   -0.662415777590171780f, 
00122   0.740951125354959110f, -0.671558954847018330f, 0.732654271672412820f, 
00123   -0.680600997795453020f, 
00124   0.724247082951467000f, -0.689540544737066830f, 0.715730825283818590f, 
00125   -0.698376249408972920f, 
00126   0.707106781186547570f, -0.707106781186547460f, 0.698376249408972920f, 
00127   -0.715730825283818590f, 
00128   0.689540544737066940f, -0.724247082951466890f, 0.680600997795453130f, 
00129   -0.732654271672412820f, 
00130   0.671558954847018330f, -0.740951125354959110f, 0.662415777590171780f, 
00131   -0.749136394523459260f, 
00132   0.653172842953776760f, -0.757208846506484460f, 0.643831542889791500f, 
00133   -0.765167265622458960f, 
00134   0.634393284163645490f, -0.773010453362736990f, 0.624859488142386450f, 
00135   -0.780737228572094380f, 
00136   0.615231590580626820f, -0.788346427626606230f, 0.605511041404325550f, 
00137   -0.795836904608883460f, 
00138   0.595699304492433470f, -0.803207531480644830f, 0.585797857456438860f, 
00139   -0.810457198252594770f, 
00140   0.575808191417845340f, -0.817584813151583710f, 0.565731810783613230f, 
00141   -0.824589302785025290f, 
00142   0.555570233019602290f, -0.831469612302545240f, 0.545324988422046460f, 
00143   -0.838224705554837970f, 
00144   0.534997619887097260f, -0.844853565249707010f, 0.524589682678468840f, 
00145   -0.851355193105265200f, 
00146   0.514102744193221660f, -0.857728610000272120f, 0.503538383725717580f, 
00147   -0.863972856121586700f, 
00148   0.492898192229784090f, -0.870086991108711350f, 0.482183772079122830f, 
00149   -0.876070094195406600f, 
00150   0.471396736825997810f, -0.881921264348354940f, 0.460538710958240010f, 
00151   -0.887639620402853930f, 
00152   0.449611329654606600f, -0.893224301195515320f, 0.438616238538527710f, 
00153   -0.898674465693953820f, 
00154   0.427555093430282200f, -0.903989293123443340f, 0.416429560097637320f, 
00155   -0.909167983090522270f, 
00156   0.405241314004989860f, -0.914209755703530690f, 0.393992040061048100f, 
00157   -0.919113851690057770f, 
00158   0.382683432365089840f, -0.923879532511286740f, 0.371317193951837600f, 
00159   -0.928506080473215480f, 
00160   0.359895036534988280f, -0.932992798834738850f, 0.348418680249434510f, 
00161   -0.937339011912574960f, 
00162   0.336889853392220050f, -0.941544065183020810f, 0.325310292162262980f, 
00163   -0.945607325380521280f, 
00164   0.313681740398891570f, -0.949528180593036670f, 0.302005949319228200f, 
00165   -0.953306040354193750f, 
00166   0.290284677254462330f, -0.956940335732208940f, 0.278519689385053060f, 
00167   -0.960430519415565790f, 
00168   0.266712757474898420f, -0.963776065795439840f, 0.254865659604514630f, 
00169   -0.966976471044852070f, 
00170   0.242980179903263980f, -0.970031253194543970f, 0.231058108280671280f, 
00171   -0.972939952205560070f, 
00172   0.219101240156869770f, -0.975702130038528570f, 0.207111376192218560f, 
00173   -0.978317370719627650f, 
00174   0.195090322016128330f, -0.980785280403230430f, 0.183039887955141060f, 
00175   -0.983105487431216290f, 
00176   0.170961888760301360f, -0.985277642388941220f, 0.158858143333861390f, 
00177   -0.987301418157858430f, 
00178   0.146730474455361750f, -0.989176509964781010f, 0.134580708507126220f, 
00179   -0.990902635427780010f, 
00180   0.122410675199216280f, -0.992479534598709970f, 0.110222207293883180f, 
00181   -0.993906970002356060f, 
00182   0.098017140329560770f, -0.995184726672196820f, 0.085797312344439880f, 
00183   -0.996312612182778000f, 
00184   0.073564563599667454f, -0.997290456678690210f, 0.061320736302208648f, 
00185   -0.998118112900149180f, 
00186   0.049067674327418126f, -0.998795456205172410f, 0.036807222941358991f, 
00187   -0.999322384588349540f, 
00188   0.024541228522912264f, -0.999698818696204250f, 0.012271538285719944f, 
00189   -0.999924701839144500f 
00190 }; 
00191  
00192 static const float32_t Weights_512[1024] = { 
00193   1.000000000000000000f, 0.000000000000000000f, 0.999995293809576190f, 
00194   -0.003067956762965976f, 
00195   0.999981175282601110f, -0.006135884649154475f, 0.999957644551963900f, 
00196   -0.009203754782059819f, 
00197   0.999924701839144500f, -0.012271538285719925f, 0.999882347454212560f, 
00198   -0.015339206284988100f, 
00199   0.999830581795823400f, -0.018406729905804820f, 0.999769405351215280f, 
00200   -0.021474080275469508f, 
00201   0.999698818696204250f, -0.024541228522912288f, 0.999618822495178640f, 
00202   -0.027608145778965740f, 
00203   0.999529417501093140f, -0.030674803176636626f, 0.999430604555461730f, 
00204   -0.033741171851377580f, 
00205   0.999322384588349540f, -0.036807222941358832f, 0.999204758618363890f, 
00206   -0.039872927587739811f, 
00207   0.999077727752645360f, -0.042938256934940820f, 0.998941293186856870f, 
00208   -0.046003182130914623f, 
00209   0.998795456205172410f, -0.049067674327418015f, 0.998640218180265270f, 
00210   -0.052131704680283324f, 
00211   0.998475580573294770f, -0.055195244349689934f, 0.998301544933892890f, 
00212   -0.058258264500435752f, 
00213   0.998118112900149180f, -0.061320736302208578f, 0.997925286198596000f, 
00214   -0.064382630929857465f, 
00215   0.997723066644191640f, -0.067443919563664051f, 0.997511456140303450f, 
00216   -0.070504573389613856f, 
00217   0.997290456678690210f, -0.073564563599667426f, 0.997060070339482960f, 
00218   -0.076623861392031492f, 
00219   0.996820299291165670f, -0.079682437971430126f, 0.996571145790554840f, 
00220   -0.082740264549375692f, 
00221   0.996312612182778000f, -0.085797312344439894f, 0.996044700901251970f, 
00222   -0.088853552582524600f, 
00223   0.995767414467659820f, -0.091908956497132724f, 0.995480755491926940f, 
00224   -0.094963495329638992f, 
00225   0.995184726672196930f, -0.098017140329560604f, 0.994879330794805620f, 
00226   -0.101069862754827820f, 
00227   0.994564570734255420f, -0.104121633872054590f, 0.994240449453187900f, 
00228   -0.107172424956808840f, 
00229   0.993906970002356060f, -0.110222207293883060f, 0.993564135520595300f, 
00230   -0.113270952177564350f, 
00231   0.993211949234794500f, -0.116318630911904750f, 0.992850414459865100f, 
00232   -0.119365214810991350f, 
00233   0.992479534598709970f, -0.122410675199216200f, 0.992099313142191800f, 
00234   -0.125454983411546230f, 
00235   0.991709753669099530f, -0.128498110793793170f, 0.991310859846115440f, 
00236   -0.131540028702883120f, 
00237   0.990902635427780010f, -0.134580708507126170f, 0.990485084256457090f, 
00238   -0.137620121586486040f, 
00239   0.990058210262297120f, -0.140658239332849210f, 0.989622017463200890f, 
00240   -0.143695033150294470f, 
00241   0.989176509964781010f, -0.146730474455361750f, 0.988721691960323780f, 
00242   -0.149764534677321510f, 
00243   0.988257567730749460f, -0.152797185258443440f, 0.987784141644572180f, 
00244   -0.155828397654265230f, 
00245   0.987301418157858430f, -0.158858143333861450f, 0.986809401814185530f, 
00246   -0.161886393780111830f, 
00247   0.986308097244598670f, -0.164913120489969890f, 0.985797509167567480f, 
00248   -0.167938294974731170f, 
00249   0.985277642388941220f, -0.170961888760301220f, 0.984748501801904210f, 
00250   -0.173983873387463820f, 
00251   0.984210092386929030f, -0.177004220412148750f, 0.983662419211730250f, 
00252   -0.180022901405699510f, 
00253   0.983105487431216290f, -0.183039887955140950f, 0.982539302287441240f, 
00254   -0.186055151663446630f, 
00255   0.981963869109555240f, -0.189068664149806190f, 0.981379193313754560f, 
00256   -0.192080397049892440f, 
00257   0.980785280403230430f, -0.195090322016128250f, 0.980182135968117430f, 
00258   -0.198098410717953560f, 
00259   0.979569765685440520f, -0.201104634842091900f, 0.978948175319062200f, 
00260   -0.204108966092816870f, 
00261   0.978317370719627650f, -0.207111376192218560f, 0.977677357824509930f, 
00262   -0.210111836880469610f, 
00263   0.977028142657754390f, -0.213110319916091360f, 0.976369731330021140f, 
00264   -0.216106797076219520f, 
00265   0.975702130038528570f, -0.219101240156869800f, 0.975025345066994120f, 
00266   -0.222093620973203510f, 
00267   0.974339382785575860f, -0.225083911359792830f, 0.973644249650811980f, 
00268   -0.228072083170885730f, 
00269   0.972939952205560180f, -0.231058108280671110f, 0.972226497078936270f, 
00270   -0.234041958583543430f, 
00271   0.971503890986251780f, -0.237023605994367200f, 0.970772140728950350f, 
00272   -0.240003022448741500f, 
00273   0.970031253194543970f, -0.242980179903263870f, 0.969281235356548530f, 
00274   -0.245955050335794590f, 
00275   0.968522094274417380f, -0.248927605745720150f, 0.967753837093475510f, 
00276   -0.251897818154216970f, 
00277   0.966976471044852070f, -0.254865659604514570f, 0.966190003445412500f, 
00278   -0.257831102162158990f, 
00279   0.965394441697689400f, -0.260794117915275510f, 0.964589793289812760f, 
00280   -0.263754678974831350f, 
00281   0.963776065795439840f, -0.266712757474898370f, 0.962953266873683880f, 
00282   -0.269668325572915090f, 
00283   0.962121404269041580f, -0.272621355449948980f, 0.961280485811320640f, 
00284   -0.275571819310958140f, 
00285   0.960430519415565790f, -0.278519689385053060f, 0.959571513081984520f, 
00286   -0.281464937925757940f, 
00287   0.958703474895871600f, -0.284407537211271880f, 0.957826413027532910f, 
00288   -0.287347459544729510f, 
00289   0.956940335732208820f, -0.290284677254462330f, 0.956045251349996410f, 
00290   -0.293219162694258630f, 
00291   0.955141168305770780f, -0.296150888243623790f, 0.954228095109105670f, 
00292   -0.299079826308040480f, 
00293   0.953306040354193860f, -0.302005949319228080f, 0.952375012719765880f, 
00294   -0.304929229735402370f, 
00295   0.951435020969008340f, -0.307849640041534870f, 0.950486073949481700f, 
00296   -0.310767152749611470f, 
00297   0.949528180593036670f, -0.313681740398891520f, 0.948561349915730270f, 
00298   -0.316593375556165850f, 
00299   0.947585591017741090f, -0.319502030816015690f, 0.946600913083283530f, 
00300   -0.322407678801069850f, 
00301   0.945607325380521280f, -0.325310292162262930f, 0.944604837261480260f, 
00302   -0.328209843579092500f, 
00303   0.943593458161960390f, -0.331106305759876430f, 0.942573197601446870f, 
00304   -0.333999651442009380f, 
00305   0.941544065183020810f, -0.336889853392220050f, 0.940506070593268300f, 
00306   -0.339776884406826850f, 
00307   0.939459223602189920f, -0.342660717311994380f, 0.938403534063108060f, 
00308   -0.345541324963989090f, 
00309   0.937339011912574960f, -0.348418680249434560f, 0.936265667170278260f, 
00310   -0.351292756085567090f, 
00311   0.935183509938947610f, -0.354163525420490340f, 0.934092550404258980f, 
00312   -0.357030961233429980f, 
00313   0.932992798834738960f, -0.359895036534988110f, 0.931884265581668150f, 
00314   -0.362755724367397230f, 
00315   0.930766961078983710f, -0.365612997804773850f, 0.929640895843181330f, 
00316   -0.368466829953372320f, 
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00592   -0.940506070593268300f, 
00593   0.336889853392220050f, -0.941544065183020810f, 0.333999651442009490f, 
00594   -0.942573197601446870f, 
00595   0.331106305759876430f, -0.943593458161960390f, 0.328209843579092660f, 
00596   -0.944604837261480260f, 
00597   0.325310292162262980f, -0.945607325380521280f, 0.322407678801070020f, 
00598   -0.946600913083283530f, 
00599   0.319502030816015750f, -0.947585591017741090f, 0.316593375556165850f, 
00600   -0.948561349915730270f, 
00601   0.313681740398891570f, -0.949528180593036670f, 0.310767152749611470f, 
00602   -0.950486073949481700f, 
00603   0.307849640041534980f, -0.951435020969008340f, 0.304929229735402430f, 
00604   -0.952375012719765880f, 
00605   0.302005949319228200f, -0.953306040354193750f, 0.299079826308040480f, 
00606   -0.954228095109105670f, 
00607   0.296150888243623960f, -0.955141168305770670f, 0.293219162694258680f, 
00608   -0.956045251349996410f, 
00609   0.290284677254462330f, -0.956940335732208940f, 0.287347459544729570f, 
00610   -0.957826413027532910f, 
00611   0.284407537211271820f, -0.958703474895871600f, 0.281464937925758050f, 
00612   -0.959571513081984520f, 
00613   0.278519689385053060f, -0.960430519415565790f, 0.275571819310958250f, 
00614   -0.961280485811320640f, 
00615   0.272621355449948980f, -0.962121404269041580f, 0.269668325572915200f, 
00616   -0.962953266873683880f, 
00617   0.266712757474898420f, -0.963776065795439840f, 0.263754678974831510f, 
00618   -0.964589793289812650f, 
00619   0.260794117915275570f, -0.965394441697689400f, 0.257831102162158930f, 
00620   -0.966190003445412620f, 
00621   0.254865659604514630f, -0.966976471044852070f, 0.251897818154216910f, 
00622   -0.967753837093475510f, 
00623   0.248927605745720260f, -0.968522094274417270f, 0.245955050335794590f, 
00624   -0.969281235356548530f, 
00625   0.242980179903263980f, -0.970031253194543970f, 0.240003022448741500f, 
00626   -0.970772140728950350f, 
00627   0.237023605994367340f, -0.971503890986251780f, 0.234041958583543460f, 
00628   -0.972226497078936270f, 
00629   0.231058108280671280f, -0.972939952205560070f, 0.228072083170885790f, 
00630   -0.973644249650811870f, 
00631   0.225083911359792780f, -0.974339382785575860f, 0.222093620973203590f, 
00632   -0.975025345066994120f, 
00633   0.219101240156869770f, -0.975702130038528570f, 0.216106797076219600f, 
00634   -0.976369731330021140f, 
00635   0.213110319916091360f, -0.977028142657754390f, 0.210111836880469720f, 
00636   -0.977677357824509930f, 
00637   0.207111376192218560f, -0.978317370719627650f, 0.204108966092817010f, 
00638   -0.978948175319062200f, 
00639   0.201104634842091960f, -0.979569765685440520f, 0.198098410717953730f, 
00640   -0.980182135968117320f, 
00641   0.195090322016128330f, -0.980785280403230430f, 0.192080397049892380f, 
00642   -0.981379193313754560f, 
00643   0.189068664149806280f, -0.981963869109555240f, 0.186055151663446630f, 
00644   -0.982539302287441240f, 
00645   0.183039887955141060f, -0.983105487431216290f, 0.180022901405699510f, 
00646   -0.983662419211730250f, 
00647   0.177004220412148860f, -0.984210092386929030f, 0.173983873387463850f, 
00648   -0.984748501801904210f, 
00649   0.170961888760301360f, -0.985277642388941220f, 0.167938294974731230f, 
00650   -0.985797509167567370f, 
00651   0.164913120489970090f, -0.986308097244598670f, 0.161886393780111910f, 
00652   -0.986809401814185420f, 
00653   0.158858143333861390f, -0.987301418157858430f, 0.155828397654265320f, 
00654   -0.987784141644572180f, 
00655   0.152797185258443410f, -0.988257567730749460f, 0.149764534677321620f, 
00656   -0.988721691960323780f, 
00657   0.146730474455361750f, -0.989176509964781010f, 0.143695033150294580f, 
00658   -0.989622017463200780f, 
00659   0.140658239332849240f, -0.990058210262297120f, 0.137620121586486180f, 
00660   -0.990485084256456980f, 
00661   0.134580708507126220f, -0.990902635427780010f, 0.131540028702883280f, 
00662   -0.991310859846115440f, 
00663   0.128498110793793220f, -0.991709753669099530f, 0.125454983411546210f, 
00664   -0.992099313142191800f, 
00665   0.122410675199216280f, -0.992479534598709970f, 0.119365214810991350f, 
00666   -0.992850414459865100f, 
00667   0.116318630911904880f, -0.993211949234794500f, 0.113270952177564360f, 
00668   -0.993564135520595300f, 
00669   0.110222207293883180f, -0.993906970002356060f, 0.107172424956808870f, 
00670   -0.994240449453187900f, 
00671   0.104121633872054730f, -0.994564570734255420f, 0.101069862754827880f, 
00672   -0.994879330794805620f, 
00673   0.098017140329560770f, -0.995184726672196820f, 0.094963495329639061f, 
00674   -0.995480755491926940f, 
00675   0.091908956497132696f, -0.995767414467659820f, 0.088853552582524684f, 
00676   -0.996044700901251970f, 
00677   0.085797312344439880f, -0.996312612182778000f, 0.082740264549375803f, 
00678   -0.996571145790554840f, 
00679   0.079682437971430126f, -0.996820299291165670f, 0.076623861392031617f, 
00680   -0.997060070339482960f, 
00681   0.073564563599667454f, -0.997290456678690210f, 0.070504573389614009f, 
00682   -0.997511456140303450f, 
00683   0.067443919563664106f, -0.997723066644191640f, 0.064382630929857410f, 
00684   -0.997925286198596000f, 
00685   0.061320736302208648f, -0.998118112900149180f, 0.058258264500435732f, 
00686   -0.998301544933892890f, 
00687   0.055195244349690031f, -0.998475580573294770f, 0.052131704680283317f, 
00688   -0.998640218180265270f, 
00689   0.049067674327418126f, -0.998795456205172410f, 0.046003182130914644f, 
00690   -0.998941293186856870f, 
00691   0.042938256934940959f, -0.999077727752645360f, 0.039872927587739845f, 
00692   -0.999204758618363890f, 
00693   0.036807222941358991f, -0.999322384588349540f, 0.033741171851377642f, 
00694   -0.999430604555461730f, 
00695   0.030674803176636581f, -0.999529417501093140f, 0.027608145778965820f, 
00696   -0.999618822495178640f, 
00697   0.024541228522912264f, -0.999698818696204250f, 0.021474080275469605f, 
00698   -0.999769405351215280f, 
00699   0.018406729905804820f, -0.999830581795823400f, 0.015339206284988220f, 
00700   -0.999882347454212560f, 
00701   0.012271538285719944f, -0.999924701839144500f, 0.009203754782059960f, 
00702   -0.999957644551963900f, 
00703   0.006135884649154515f, -0.999981175282601110f, 0.003067956762966138f, 
00704   -0.999995293809576190f 
00705 }; 
00706  
00707 static const float32_t Weights_2048[4096] = { 
00708   1.000000000000000000f, 0.000000000000000000f, 0.999999705862882230f, 
00709   -0.000766990318742704f, 
00710   0.999998823451701880f, -0.001533980186284766f, 0.999997352766978210f, 
00711   -0.002300969151425805f, 
00712   0.999995293809576190f, -0.003067956762965976f, 0.999992646580707190f, 
00713   -0.003834942569706228f, 
00714   0.999989411081928400f, -0.004601926120448571f, 0.999985587315143200f, 
00715   -0.005368906963996343f, 
00716   0.999981175282601110f, -0.006135884649154475f, 0.999976174986897610f, 
00717   -0.006902858724729756f, 
00718   0.999970586430974140f, -0.007669828739531097f, 0.999964409618118280f, 
00719   -0.008436794242369799f, 
00720   0.999957644551963900f, -0.009203754782059819f, 0.999950291236490480f, 
00721   -0.009970709907418031f, 
00722   0.999942349676023910f, -0.010737659167264491f, 0.999933819875236000f, 
00723   -0.011504602110422714f, 
00724   0.999924701839144500f, -0.012271538285719925f, 0.999914995573113470f, 
00725   -0.013038467241987334f, 
00726   0.999904701082852900f, -0.013805388528060391f, 0.999893818374418490f, 
00727   -0.014572301692779064f, 
00728   0.999882347454212560f, -0.015339206284988100f, 0.999870288328982950f, 
00729   -0.016106101853537287f, 
00730   0.999857641005823860f, -0.016872987947281710f, 0.999844405492175240f, 
00731   -0.017639864115082053f, 
00732   0.999830581795823400f, -0.018406729905804820f, 0.999816169924900410f, 
00733   -0.019173584868322623f, 
00734   0.999801169887884260f, -0.019940428551514441f, 0.999785581693599210f, 
00735   -0.020707260504265895f, 
00736   0.999769405351215280f, -0.021474080275469508f, 0.999752640870248840f, 
00737   -0.022240887414024961f, 
00738   0.999735288260561680f, -0.023007681468839369f, 0.999717347532362190f, 
00739   -0.023774461988827555f, 
00740   0.999698818696204250f, -0.024541228522912288f, 0.999679701762987930f, 
00741   -0.025307980620024571f, 
00742   0.999659996743959220f, -0.026074717829103901f, 0.999639703650710200f, 
00743   -0.026841439699098531f, 
00744   0.999618822495178640f, -0.027608145778965740f, 0.999597353289648380f, 
00745   -0.028374835617672099f, 
00746   0.999575296046749220f, -0.029141508764193722f, 0.999552650779456990f, 
00747   -0.029908164767516555f, 
00748   0.999529417501093140f, -0.030674803176636626f, 0.999505596225325310f, 
00749   -0.031441423540560301f, 
00750   0.999481186966166950f, -0.032208025408304586f, 0.999456189737977340f, 
00751   -0.032974608328897335f, 
00752   0.999430604555461730f, -0.033741171851377580f, 0.999404431433671300f, 
00753   -0.034507715524795750f, 
00754   0.999377670388002850f, -0.035274238898213947f, 0.999350321434199440f, 
00755   -0.036040741520706229f, 
00756   0.999322384588349540f, -0.036807222941358832f, 0.999293859866887790f, 
00757   -0.037573682709270494f, 
00758   0.999264747286594420f, -0.038340120373552694f, 0.999235046864595850f, 
00759   -0.039106535483329888f, 
00760   0.999204758618363890f, -0.039872927587739811f, 0.999173882565716380f, 
00761   -0.040639296235933736f, 
00762   0.999142418724816910f, -0.041405640977076739f, 0.999110367114174890f, 
00763   -0.042171961360347947f, 
00764   0.999077727752645360f, -0.042938256934940820f, 0.999044500659429290f, 
00765   -0.043704527250063421f, 
00766   0.999010685854073380f, -0.044470771854938668f, 0.998976283356469820f, 
00767   -0.045236990298804590f, 
00768   0.998941293186856870f, -0.046003182130914623f, 0.998905715365818290f, 
00769   -0.046769346900537863f, 
00770   0.998869549914283560f, -0.047535484156959303f, 0.998832796853527990f, 
00771   -0.048301593449480144f, 
00772   0.998795456205172410f, -0.049067674327418015f, 0.998757527991183340f, 
00773   -0.049833726340107277f, 
00774   0.998719012233872940f, -0.050599749036899282f, 0.998679908955899090f, 
00775   -0.051365741967162593f, 
00776   0.998640218180265270f, -0.052131704680283324f, 0.998599939930320370f, 
00777   -0.052897636725665324f, 
00778   0.998559074229759310f, -0.053663537652730520f, 0.998517621102622210f, 
00779   -0.054429407010919133f, 
00780   0.998475580573294770f, -0.055195244349689934f, 0.998432952666508440f, 
00781   -0.055961049218520569f, 
00782   0.998389737407340160f, -0.056726821166907748f, 0.998345934821212370f, 
00783   -0.057492559744367566f, 
00784   0.998301544933892890f, -0.058258264500435752f, 0.998256567771495180f, 
00785   -0.059023934984667931f, 
00786   0.998211003360478190f, -0.059789570746639868f, 0.998164851727646240f, 
00787   -0.060555171335947788f, 
00788   0.998118112900149180f, -0.061320736302208578f, 0.998070786905482340f, 
00789   -0.062086265195060088f, 
00790   0.998022873771486240f, -0.062851757564161406f, 0.997974373526346990f, 
00791   -0.063617212959193106f, 
00792   0.997925286198596000f, -0.064382630929857465f, 0.997875611817110150f, 
00793   -0.065148011025878833f, 
00794   0.997825350411111640f, -0.065913352797003805f, 0.997774502010167820f, 
00795   -0.066678655793001557f, 
00796   0.997723066644191640f, -0.067443919563664051f, 0.997671044343441000f, 
00797   -0.068209143658806329f, 
00798   0.997618435138519550f, -0.068974327628266746f, 0.997565239060375750f, 
00799   -0.069739471021907307f, 
00800   0.997511456140303450f, -0.070504573389613856f, 0.997457086409941910f, 
00801   -0.071269634281296401f, 
00802   0.997402129901275300f, -0.072034653246889332f, 0.997346586646633230f, 
00803   -0.072799629836351673f, 
00804   0.997290456678690210f, -0.073564563599667426f, 0.997233740030466280f, 
00805   -0.074329454086845756f, 
00806   0.997176436735326190f, -0.075094300847921305f, 0.997118546826979980f, 
00807   -0.075859103432954447f, 
00808   0.997060070339482960f, -0.076623861392031492f, 0.997001007307235290f, 
00809   -0.077388574275265049f, 
00810   0.996941357764982160f, -0.078153241632794232f, 0.996881121747813850f, 
00811   -0.078917863014784942f, 
00812   0.996820299291165670f, -0.079682437971430126f, 0.996758890430818000f, 
00813   -0.080446966052950014f, 
00814   0.996696895202896060f, -0.081211446809592441f, 0.996634313643869900f, 
00815   -0.081975879791633066f, 
00816   0.996571145790554840f, -0.082740264549375692f, 0.996507391680110820f, 
00817   -0.083504600633152432f, 
00818   0.996443051350042630f, -0.084268887593324071f, 0.996378124838200210f, 
00819   -0.085033124980280275f, 
00820   0.996312612182778000f, -0.085797312344439894f, 0.996246513422315520f, 
00821   -0.086561449236251170f, 
00822   0.996179828595696980f, -0.087325535206192059f, 0.996112557742151130f, 
00823   -0.088089569804770507f, 
00824   0.996044700901251970f, -0.088853552582524600f, 0.995976258112917790f, 
00825   -0.089617483090022959f, 
00826   0.995907229417411720f, -0.090381360877864983f, 0.995837614855341610f, 
00827   -0.091145185496681005f, 
00828   0.995767414467659820f, -0.091908956497132724f, 0.995696628295663520f, 
00829   -0.092672673429913310f, 
00830   0.995625256380994310f, -0.093436335845747787f, 0.995553298765638470f, 
00831   -0.094199943295393204f, 
00832   0.995480755491926940f, -0.094963495329638992f, 0.995407626602534900f, 
00833   -0.095726991499307162f, 
00834   0.995333912140482280f, -0.096490431355252593f, 0.995259612149133390f, 
00835   -0.097253814448363271f, 
00836   0.995184726672196930f, -0.098017140329560604f, 0.995109255753726110f, 
00837   -0.098780408549799623f, 
00838   0.995033199438118630f, -0.099543618660069319f, 0.994956557770116380f, 
00839   -0.100306770211392860f, 
00840   0.994879330794805620f, -0.101069862754827820f, 0.994801518557617110f, 
00841   -0.101832895841466530f, 
00842   0.994723121104325700f, -0.102595869022436280f, 0.994644138481050710f, 
00843   -0.103358781848899610f, 
00844   0.994564570734255420f, -0.104121633872054590f, 0.994484417910747600f, 
00845   -0.104884424643134970f, 
00846   0.994403680057679100f, -0.105647153713410620f, 0.994322357222545810f, 
00847   -0.106409820634187680f, 
00848   0.994240449453187900f, -0.107172424956808840f, 0.994157956797789730f, 
00849   -0.107934966232653650f, 
00850   0.994074879304879370f, -0.108697444013138720f, 0.993991217023329380f, 
00851   -0.109459857849717980f, 
00852   0.993906970002356060f, -0.110222207293883060f, 0.993822138291519660f, 
00853   -0.110984491897163390f, 
00854   0.993736721940724600f, -0.111746711211126590f, 0.993650721000219120f, 
00855   -0.112508864787378690f, 
00856   0.993564135520595300f, -0.113270952177564350f, 0.993476965552789190f, 
00857   -0.114032972933367200f, 
00858   0.993389211148080650f, -0.114794926606510080f, 0.993300872358093280f, 
00859   -0.115556812748755260f, 
00860   0.993211949234794500f, -0.116318630911904750f, 0.993122441830495580f, 
00861   -0.117080380647800590f, 
00862   0.993032350197851410f, -0.117842061508324980f, 0.992941674389860470f, 
00863   -0.118603673045400720f, 
00864   0.992850414459865100f, -0.119365214810991350f, 0.992758570461551140f, 
00865   -0.120126686357101500f, 
00866   0.992666142448948020f, -0.120888087235777080f, 0.992573130476428810f, 
00867   -0.121649416999105530f, 
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02515   -0.982964808441396440f, 
02516   0.183039887955141060f, -0.983105487431216290f, 0.182285801725153320f, 
02517   -0.983245588085407070f, 
02518   0.181531608261125130f, -0.983385110321551180f, 0.180777308006728670f, 
02519   -0.983524054057571260f, 
02520   0.180022901405699510f, -0.983662419211730250f, 0.179268388901835880f, 
02521   -0.983800205702631490f, 
02522   0.178513770938997590f, -0.983937413449218920f, 0.177759047961107140f, 
02523   -0.984074042370776450f, 
02524   0.177004220412148860f, -0.984210092386929030f, 0.176249288736167940f, 
02525   -0.984345563417641900f, 
02526   0.175494253377271400f, -0.984480455383220930f, 0.174739114779627310f, 
02527   -0.984614768204312600f, 
02528   0.173983873387463850f, -0.984748501801904210f, 0.173228529645070490f, 
02529   -0.984881656097323700f, 
02530   0.172473083996796030f, -0.985014231012239840f, 0.171717536887049970f, 
02531   -0.985146226468662230f, 
02532   0.170961888760301360f, -0.985277642388941220f, 0.170206140061078120f, 
02533   -0.985408478695768420f, 
02534   0.169450291233967930f, -0.985538735312176060f, 0.168694342723617440f, 
02535   -0.985668412161537550f, 
02536   0.167938294974731230f, -0.985797509167567370f, 0.167182148432072880f, 
02537   -0.985926026254321130f, 
02538   0.166425903540464220f, -0.986053963346195440f, 0.165669560744784140f, 
02539   -0.986181320367928270f, 
02540   0.164913120489970090f, -0.986308097244598670f, 0.164156583221015890f, 
02541   -0.986434293901627070f, 
02542   0.163399949382973230f, -0.986559910264775410f, 0.162643219420950450f, 
02543   -0.986684946260146690f, 
02544   0.161886393780111910f, -0.986809401814185420f, 0.161129472905678780f, 
02545   -0.986933276853677710f, 
02546   0.160372457242928400f, -0.987056571305750970f, 0.159615347237193090f, 
02547   -0.987179285097874340f, 
02548   0.158858143333861390f, -0.987301418157858430f, 0.158100845978377090f, 
02549   -0.987422970413855410f, 
02550   0.157343455616238280f, -0.987543941794359230f, 0.156585972692998590f, 
02551   -0.987664332228205710f, 
02552   0.155828397654265320f, -0.987784141644572180f, 0.155070730945700510f, 
02553   -0.987903369972977790f, 
02554   0.154312973013020240f, -0.988022017143283530f, 0.153555124301993500f, 
02555   -0.988140083085692570f, 
02556   0.152797185258443410f, -0.988257567730749460f, 0.152039156328246160f, 
02557   -0.988374471009341280f, 
02558   0.151281037957330250f, -0.988490792852696590f, 0.150522830591677370f, 
02559   -0.988606533192386450f, 
02560   0.149764534677321620f, -0.988721691960323780f, 0.149006150660348470f, 
02561   -0.988836269088763540f, 
02562   0.148247678986896200f, -0.988950264510302990f, 0.147489120103153680f, 
02563   -0.989063678157881540f, 
02564   0.146730474455361750f, -0.989176509964781010f, 0.145971742489812370f, 
02565   -0.989288759864625170f, 
02566   0.145212924652847520f, -0.989400427791380380f, 0.144454021390860440f, 
02567   -0.989511513679355190f, 
02568   0.143695033150294580f, -0.989622017463200780f, 0.142935960377642700f, 
02569   -0.989731939077910570f, 
02570   0.142176803519448000f, -0.989841278458820530f, 0.141417563022303130f, 
02571   -0.989950035541608990f, 
02572   0.140658239332849240f, -0.990058210262297120f, 0.139898832897777380f, 
02573   -0.990165802557248400f, 
02574   0.139139344163826280f, -0.990272812363169110f, 0.138379773577783890f, 
02575   -0.990379239617108160f, 
02576   0.137620121586486180f, -0.990485084256456980f, 0.136860388636816430f, 
02577   -0.990590346218950150f, 
02578   0.136100575175706200f, -0.990695025442664630f, 0.135340681650134330f, 
02579   -0.990799121866020370f, 
02580   0.134580708507126220f, -0.990902635427780010f, 0.133820656193754690f, 
02581   -0.991005566067049370f, 
02582   0.133060525157139180f, -0.991107913723276780f, 0.132300315844444680f, 
02583   -0.991209678336254060f, 
02584   0.131540028702883280f, -0.991310859846115440f, 0.130779664179711790f, 
02585   -0.991411458193338540f, 
02586   0.130019222722233350f, -0.991511473318743900f, 0.129258704777796270f, 
02587   -0.991610905163495370f, 
02588   0.128498110793793220f, -0.991709753669099530f, 0.127737441217662280f, 
02589   -0.991808018777406430f, 
02590   0.126976696496885980f, -0.991905700430609330f, 0.126215877078990400f, 
02591   -0.992002798571244520f, 
02592   0.125454983411546210f, -0.992099313142191800f, 0.124694015942167770f, 
02593   -0.992195244086673920f, 
02594   0.123932975118512200f, -0.992290591348257370f, 0.123171861388280650f, 
02595   -0.992385354870851670f, 
02596   0.122410675199216280f, -0.992479534598709970f, 0.121649416999105540f, 
02597   -0.992573130476428810f, 
02598   0.120888087235777220f, -0.992666142448948020f, 0.120126686357101580f, 
02599   -0.992758570461551140f, 
02600   0.119365214810991350f, -0.992850414459865100f, 0.118603673045400840f, 
02601   -0.992941674389860470f, 
02602   0.117842061508325020f, -0.993032350197851410f, 0.117080380647800550f, 
02603   -0.993122441830495580f, 
02604   0.116318630911904880f, -0.993211949234794500f, 0.115556812748755290f, 
02605   -0.993300872358093280f, 
02606   0.114794926606510250f, -0.993389211148080650f, 0.114032972933367300f, 
02607   -0.993476965552789190f, 
02608   0.113270952177564360f, -0.993564135520595300f, 0.112508864787378830f, 
02609   -0.993650721000219120f, 
02610   0.111746711211126660f, -0.993736721940724600f, 0.110984491897163380f, 
02611   -0.993822138291519660f, 
02612   0.110222207293883180f, -0.993906970002356060f, 0.109459857849718030f, 
02613   -0.993991217023329380f, 
02614   0.108697444013138670f, -0.994074879304879370f, 0.107934966232653760f, 
02615   -0.994157956797789730f, 
02616   0.107172424956808870f, -0.994240449453187900f, 0.106409820634187840f, 
02617   -0.994322357222545810f, 
02618   0.105647153713410700f, -0.994403680057679100f, 0.104884424643134970f, 
02619   -0.994484417910747600f, 
02620   0.104121633872054730f, -0.994564570734255420f, 0.103358781848899700f, 
02621   -0.994644138481050710f, 
02622   0.102595869022436280f, -0.994723121104325700f, 0.101832895841466670f, 
02623   -0.994801518557617110f, 
02624   0.101069862754827880f, -0.994879330794805620f, 0.100306770211392820f, 
02625   -0.994956557770116380f, 
02626   0.099543618660069444f, -0.995033199438118630f, 0.098780408549799664f, 
02627   -0.995109255753726110f, 
02628   0.098017140329560770f, -0.995184726672196820f, 0.097253814448363354f, 
02629   -0.995259612149133390f, 
02630   0.096490431355252607f, -0.995333912140482280f, 0.095726991499307315f, 
02631   -0.995407626602534900f, 
02632   0.094963495329639061f, -0.995480755491926940f, 0.094199943295393190f, 
02633   -0.995553298765638470f, 
02634   0.093436335845747912f, -0.995625256380994310f, 0.092672673429913366f, 
02635   -0.995696628295663520f, 
02636   0.091908956497132696f, -0.995767414467659820f, 0.091145185496681130f, 
02637   -0.995837614855341610f, 
02638   0.090381360877865011f, -0.995907229417411720f, 0.089617483090022917f, 
02639   -0.995976258112917790f, 
02640   0.088853552582524684f, -0.996044700901251970f, 0.088089569804770507f, 
02641   -0.996112557742151130f, 
02642   0.087325535206192226f, -0.996179828595696870f, 0.086561449236251239f, 
02643   -0.996246513422315520f, 
02644   0.085797312344439880f, -0.996312612182778000f, 0.085033124980280414f, 
02645   -0.996378124838200210f, 
02646   0.084268887593324127f, -0.996443051350042630f, 0.083504600633152404f, 
02647   -0.996507391680110820f, 
02648   0.082740264549375803f, -0.996571145790554840f, 0.081975879791633108f, 
02649   -0.996634313643869900f, 
02650   0.081211446809592386f, -0.996696895202896060f, 0.080446966052950097f, 
02651   -0.996758890430818000f, 
02652   0.079682437971430126f, -0.996820299291165670f, 0.078917863014785095f, 
02653   -0.996881121747813850f, 
02654   0.078153241632794315f, -0.996941357764982160f, 0.077388574275265049f, 
02655   -0.997001007307235290f, 
02656   0.076623861392031617f, -0.997060070339482960f, 0.075859103432954503f, 
02657   -0.997118546826979980f, 
02658   0.075094300847921291f, -0.997176436735326190f, 0.074329454086845867f, 
02659   -0.997233740030466160f, 
02660   0.073564563599667454f, -0.997290456678690210f, 0.072799629836351618f, 
02661   -0.997346586646633230f, 
02662   0.072034653246889416f, -0.997402129901275300f, 0.071269634281296415f, 
02663   -0.997457086409941910f, 
02664   0.070504573389614009f, -0.997511456140303450f, 0.069739471021907376f, 
02665   -0.997565239060375750f, 
02666   0.068974327628266732f, -0.997618435138519550f, 0.068209143658806454f, 
02667   -0.997671044343441000f, 
02668   0.067443919563664106f, -0.997723066644191640f, 0.066678655793001543f, 
02669   -0.997774502010167820f, 
02670   0.065913352797003930f, -0.997825350411111640f, 0.065148011025878860f, 
02671   -0.997875611817110150f, 
02672   0.064382630929857410f, -0.997925286198596000f, 0.063617212959193190f, 
02673   -0.997974373526346990f, 
02674   0.062851757564161420f, -0.998022873771486240f, 0.062086265195060247f, 
02675   -0.998070786905482340f, 
02676   0.061320736302208648f, -0.998118112900149180f, 0.060555171335947781f, 
02677   -0.998164851727646240f, 
02678   0.059789570746640007f, -0.998211003360478190f, 0.059023934984667986f, 
02679   -0.998256567771495180f, 
02680   0.058258264500435732f, -0.998301544933892890f, 0.057492559744367684f, 
02681   -0.998345934821212370f, 
02682   0.056726821166907783f, -0.998389737407340160f, 0.055961049218520520f, 
02683   -0.998432952666508440f, 
02684   0.055195244349690031f, -0.998475580573294770f, 0.054429407010919147f, 
02685   -0.998517621102622210f, 
02686   0.053663537652730679f, -0.998559074229759310f, 0.052897636725665401f, 
02687   -0.998599939930320370f, 
02688   0.052131704680283317f, -0.998640218180265270f, 0.051365741967162731f, 
02689   -0.998679908955899090f, 
02690   0.050599749036899337f, -0.998719012233872940f, 0.049833726340107257f, 
02691   -0.998757527991183340f, 
02692   0.049067674327418126f, -0.998795456205172410f, 0.048301593449480172f, 
02693   -0.998832796853527990f, 
02694   0.047535484156959261f, -0.998869549914283560f, 0.046769346900537960f, 
02695   -0.998905715365818290f, 
02696   0.046003182130914644f, -0.998941293186856870f, 0.045236990298804750f, 
02697   -0.998976283356469820f, 
02698   0.044470771854938744f, -0.999010685854073380f, 0.043704527250063421f, 
02699   -0.999044500659429290f, 
02700   0.042938256934940959f, -0.999077727752645360f, 0.042171961360348002f, 
02701   -0.999110367114174890f, 
02702   0.041405640977076712f, -0.999142418724816910f, 0.040639296235933854f, 
02703   -0.999173882565716380f, 
02704   0.039872927587739845f, -0.999204758618363890f, 0.039106535483329839f, 
02705   -0.999235046864595850f, 
02706   0.038340120373552791f, -0.999264747286594420f, 0.037573682709270514f, 
02707   -0.999293859866887790f, 
02708   0.036807222941358991f, -0.999322384588349540f, 0.036040741520706299f, 
02709   -0.999350321434199440f, 
02710   0.035274238898213947f, -0.999377670388002850f, 0.034507715524795889f, 
02711   -0.999404431433671300f, 
02712   0.033741171851377642f, -0.999430604555461730f, 0.032974608328897315f, 
02713   -0.999456189737977340f, 
02714   0.032208025408304704f, -0.999481186966166950f, 0.031441423540560343f, 
02715   -0.999505596225325310f, 
02716   0.030674803176636581f, -0.999529417501093140f, 0.029908164767516655f, 
02717   -0.999552650779456990f, 
02718   0.029141508764193740f, -0.999575296046749220f, 0.028374835617672258f, 
02719   -0.999597353289648380f, 
02720   0.027608145778965820f, -0.999618822495178640f, 0.026841439699098527f, 
02721   -0.999639703650710200f, 
02722   0.026074717829104040f, -0.999659996743959220f, 0.025307980620024630f, 
02723   -0.999679701762987930f, 
02724   0.024541228522912264f, -0.999698818696204250f, 0.023774461988827676f, 
02725   -0.999717347532362190f, 
02726   0.023007681468839410f, -0.999735288260561680f, 0.022240887414024919f, 
02727   -0.999752640870248840f, 
02728   0.021474080275469605f, -0.999769405351215280f, 0.020707260504265912f, 
02729   -0.999785581693599210f, 
02730   0.019940428551514598f, -0.999801169887884260f, 0.019173584868322699f, 
02731   -0.999816169924900410f, 
02732   0.018406729905804820f, -0.999830581795823400f, 0.017639864115082195f, 
02733   -0.999844405492175240f, 
02734   0.016872987947281773f, -0.999857641005823860f, 0.016106101853537263f, 
02735   -0.999870288328982950f, 
02736   0.015339206284988220f, -0.999882347454212560f, 0.014572301692779104f, 
02737   -0.999893818374418490f, 
02738   0.013805388528060349f, -0.999904701082852900f, 0.013038467241987433f, 
02739   -0.999914995573113470f, 
02740   0.012271538285719944f, -0.999924701839144500f, 0.011504602110422875f, 
02741   -0.999933819875236000f, 
02742   0.010737659167264572f, -0.999942349676023910f, 0.009970709907418029f, 
02743   -0.999950291236490480f, 
02744   0.009203754782059960f, -0.999957644551963900f, 0.008436794242369860f, 
02745   -0.999964409618118280f, 
02746   0.007669828739531077f, -0.999970586430974140f, 0.006902858724729877f, 
02747   -0.999976174986897610f, 
02748   0.006135884649154515f, -0.999981175282601110f, 0.005368906963996303f, 
02749   -0.999985587315143200f, 
02750   0.004601926120448672f, -0.999989411081928400f, 0.003834942569706248f, 
02751   -0.999992646580707190f, 
02752   0.003067956762966138f, -0.999995293809576190f, 0.002300969151425887f, 
02753   -0.999997352766978210f, 
02754   0.001533980186284766f, -0.999998823451701880f, 0.000766990318742846f, 
02755   -0.999999705862882230f 
02756 }; 
02757  
02758 /**  
02759 * \par  
02760 * cosFactor tables are generated using the formula : <pre>cos_factors[n] = 2 * cos((2n+1)*pi/(4*N))</pre>  
02761 * \par  
02762 * C command to generate the table  
02763 * \par  
02764 * <pre> for(i = 0; i< N; i++)  
02765 * {  
02766 *    cos_factors[i]= 2 * cos((2*i+1)*c/2);  
02767 * } </pre>  
02768 * \par  
02769 * where <code>N</code> is the number of factors to generate and <code>c</code> is <code>pi/(2*N)</code>  
02770 */ 
02771 static const float32_t cos_factors_128 [128] = { 
02772   0.999981175282601110f, 0.999830581795823400f, 0.999529417501093140f, 
02773   0.999077727752645360f, 
02774   0.998475580573294770f, 0.997723066644191640f, 0.996820299291165670f, 
02775   0.995767414467659820f, 
02776   0.994564570734255420f, 0.993211949234794500f, 0.991709753669099530f, 
02777   0.990058210262297120f, 
02778   0.988257567730749460f, 0.986308097244598670f, 0.984210092386929030f, 
02779   0.981963869109555240f, 
02780   0.979569765685440520f, 0.977028142657754390f, 0.974339382785575860f, 
02781   0.971503890986251780f, 
02782   0.968522094274417380f, 0.965394441697689400f, 0.962121404269041580f, 
02783   0.958703474895871600f, 
02784   0.955141168305770780f, 0.951435020969008340f, 0.947585591017741090f, 
02785   0.943593458161960390f, 
02786   0.939459223602189920f, 0.935183509938947610f, 0.930766961078983710f, 
02787   0.926210242138311380f, 
02788   0.921514039342042010f, 0.916679059921042700f, 0.911706032005429880f, 
02789   0.906595704514915330f, 
02790   0.901348847046022030f, 0.895966249756185220f, 0.890448723244757880f, 
02791   0.884797098430937790f, 
02792   0.879012226428633530f, 0.873094978418290090f, 0.867046245515692650f, 
02793   0.860866938637767310f, 
02794   0.854557988365400530f, 0.848120344803297230f, 0.841554977436898440f, 
02795   0.834862874986380010f, 
02796   0.828045045257755800f, 0.821102514991104650f, 0.814036329705948410f, 
02797   0.806847553543799330f, 
02798   0.799537269107905010f, 0.792106577300212390f, 0.784556597155575240f, 
02799   0.776888465673232440f, 
02800   0.769103337645579700f, 0.761202385484261780f, 0.753186799043612520f, 
02801   0.745057785441466060f, 
02802   0.736816568877369900f, 0.728464390448225200f, 0.720002507961381650f, 
02803   0.711432195745216430f, 
02804   0.702754744457225300f, 0.693971460889654000f, 0.685083667772700360f, 
02805   0.676092703575316030f, 
02806   0.666999922303637470f, 0.657806693297078640f, 0.648514401022112550f, 
02807   0.639124444863775730f, 
02808   0.629638238914927100f, 0.620057211763289210f, 0.610382806276309480f, 
02809   0.600616479383868970f, 
02810   0.590759701858874280f, 0.580813958095764530f, 0.570780745886967370f, 
02811   0.560661576197336030f, 
02812   0.550457972936604810f, 0.540171472729892970f, 0.529803624686294830f, 
02813   0.519355990165589530f, 
02814   0.508830142543106990f, 0.498227666972781870f, 0.487550160148436050f, 
02815   0.476799230063322250f, 
02816   0.465976495767966130f, 0.455083587126343840f, 0.444122144570429260f, 
02817   0.433093818853152010f, 
02818   0.422000270799799790f, 0.410843171057903910f, 0.399624199845646790f, 
02819   0.388345046698826300f, 
02820   0.377007410216418310f, 0.365612997804773960f, 0.354163525420490510f, 
02821   0.342660717311994380f, 
02822   0.331106305759876430f, 0.319502030816015750f, 0.307849640041534980f, 
02823   0.296150888243623960f, 
02824   0.284407537211271820f, 0.272621355449948980f, 0.260794117915275570f, 
02825   0.248927605745720260f, 
02826   0.237023605994367340f, 0.225083911359792780f, 0.213110319916091360f, 
02827   0.201104634842091960f, 
02828   0.189068664149806280f, 0.177004220412148860f, 0.164913120489970090f, 
02829   0.152797185258443410f, 
02830   0.140658239332849240f, 0.128498110793793220f, 0.116318630911904880f, 
02831   0.104121633872054730f, 
02832   0.091908956497132696f, 0.079682437971430126f, 0.067443919563664106f, 
02833   0.055195244349690031f, 
02834   0.042938256934940959f, 0.030674803176636581f, 0.018406729905804820f, 
02835   0.006135884649154515f 
02836 }; 
02837  
02838 static const float32_t cos_factors_512[512] = { 
02839   0.999998823451701880f, 0.999989411081928400f, 0.999970586430974140f, 
02840   0.999942349676023910f, 
02841   0.999904701082852900f, 0.999857641005823860f, 0.999801169887884260f, 
02842   0.999735288260561680f, 
02843   0.999659996743959220f, 0.999575296046749220f, 0.999481186966166950f, 
02844   0.999377670388002850f, 
02845   0.999264747286594420f, 0.999142418724816910f, 0.999010685854073380f, 
02846   0.998869549914283560f, 
02847   0.998719012233872940f, 0.998559074229759310f, 0.998389737407340160f, 
02848   0.998211003360478190f, 
02849   0.998022873771486240f, 0.997825350411111640f, 0.997618435138519550f, 
02850   0.997402129901275300f, 
02851   0.997176436735326190f, 0.996941357764982160f, 0.996696895202896060f, 
02852   0.996443051350042630f, 
02853   0.996179828595696980f, 0.995907229417411720f, 0.995625256380994310f, 
02854   0.995333912140482280f, 
02855   0.995033199438118630f, 0.994723121104325700f, 0.994403680057679100f, 
02856   0.994074879304879370f, 
02857   0.993736721940724600f, 0.993389211148080650f, 0.993032350197851410f, 
02858   0.992666142448948020f, 
02859   0.992290591348257370f, 0.991905700430609330f, 0.991511473318743900f, 
02860   0.991107913723276890f, 
02861   0.990695025442664630f, 0.990272812363169110f, 0.989841278458820530f, 
02862   0.989400427791380380f, 
02863   0.988950264510302990f, 0.988490792852696590f, 0.988022017143283530f, 
02864   0.987543941794359230f, 
02865   0.987056571305750970f, 0.986559910264775410f, 0.986053963346195440f, 
02866   0.985538735312176060f, 
02867   0.985014231012239840f, 0.984480455383220930f, 0.983937413449218920f, 
02868   0.983385110321551180f, 
02869   0.982823551198705240f, 0.982252741366289370f, 0.981672686196983110f, 
02870   0.981083391150486710f, 
02871   0.980484861773469380f, 0.979877103699517640f, 0.979260122649082020f, 
02872   0.978633924429423210f, 
02873   0.977998514934557140f, 0.977353900145199960f, 0.976700086128711840f, 
02874   0.976037079039039020f, 
02875   0.975364885116656980f, 0.974683510688510670f, 0.973992962167955830f, 
02876   0.973293246054698250f, 
02877   0.972584368934732210f, 0.971866337480279400f, 0.971139158449725090f, 
02878   0.970402838687555500f, 
02879   0.969657385124292450f, 0.968902804776428870f, 0.968139104746362440f, 
02880   0.967366292222328510f, 
02881   0.966584374478333120f, 0.965793358874083680f, 0.964993252854920320f, 
02882   0.964184063951745830f, 
02883   0.963365799780954050f, 0.962538468044359160f, 0.961702076529122540f, 
02884   0.960856633107679660f, 
02885   0.960002145737665960f, 0.959138622461841890f, 0.958266071408017670f, 
02886   0.957384500788975860f, 
02887   0.956493918902395100f, 0.955594334130771110f, 0.954685754941338340f, 
02888   0.953768189885990330f, 
02889   0.952841647601198720f, 0.951906136807932350f, 0.950961666311575080f, 
02890   0.950008245001843000f, 
02891   0.949045881852700560f, 0.948074585922276230f, 0.947094366352777220f, 
02892   0.946105232370403450f, 
02893   0.945107193285260610f, 0.944100258491272660f, 0.943084437466093490f, 
02894   0.942059739771017310f, 
02895   0.941026175050889260f, 0.939983753034014050f, 0.938932483532064600f, 
02896   0.937872376439989890f, 
02897   0.936803441735921560f, 0.935725689481080370f, 0.934639129819680780f, 
02898   0.933543772978836170f, 
02899   0.932439629268462360f, 0.931326709081180430f, 0.930205022892219070f, 
02900   0.929074581259315860f, 
02901   0.927935394822617890f, 0.926787474304581750f, 0.925630830509872720f, 
02902   0.924465474325262600f, 
02903   0.923291416719527640f, 0.922108668743345180f, 0.920917241529189520f, 
02904   0.919717146291227360f, 
02905   0.918508394325212250f, 0.917290997008377910f, 0.916064965799331720f, 
02906   0.914830312237946200f, 
02907   0.913587047945250810f, 0.912335184623322750f, 0.911074734055176360f, 
02908   0.909805708104652220f, 
02909   0.908528118716306120f, 0.907241977915295820f, 0.905947297807268460f, 
02910   0.904644090578246240f, 
02911   0.903332368494511820f, 0.902012143902493180f, 0.900683429228646970f, 
02912   0.899346236979341570f, 
02913   0.898000579740739880f, 0.896646470178680150f, 0.895283921038557580f, 
02914   0.893912945145203250f, 
02915   0.892533555402764580f, 0.891145764794583180f, 0.889749586383072780f, 
02916   0.888345033309596350f, 
02917   0.886932118794342190f, 0.885510856136199950f, 0.884081258712634990f, 
02918   0.882643339979562790f, 
02919   0.881197113471222090f, 0.879742592800047410f, 0.878279791656541580f, 
02920   0.876808723809145650f, 
02921   0.875329403104110890f, 0.873841843465366860f, 0.872346058894391540f, 
02922   0.870842063470078980f, 
02923   0.869329871348606840f, 0.867809496763303320f, 0.866280954024512990f, 
02924   0.864744257519462380f, 
02925   0.863199421712124160f, 0.861646461143081300f, 0.860085390429390140f, 
02926   0.858516224264442740f, 
02927   0.856938977417828760f, 0.855353664735196030f, 0.853760301138111410f, 
02928   0.852158901623919830f, 
02929   0.850549481265603480f, 0.848932055211639610f, 0.847306638685858320f, 
02930   0.845673246987299070f, 
02931   0.844031895490066410f, 0.842382599643185850f, 0.840725374970458070f, 
02932   0.839060237070312740f, 
02933   0.837387201615661940f, 0.835706284353752600f, 0.834017501106018130f, 
02934   0.832320867767929680f, 
02935   0.830616400308846310f, 0.828904114771864870f, 0.827184027273669130f, 
02936   0.825456154004377550f, 
02937   0.823720511227391430f, 0.821977115279241550f, 0.820225982569434690f, 
02938   0.818467129580298660f, 
02939   0.816700572866827850f, 0.814926329056526620f, 0.813144414849253590f, 
02940   0.811354847017063730f, 
02941   0.809557642404051260f, 0.807752817926190360f, 0.805940390571176280f, 
02942   0.804120377398265810f, 
02943   0.802292795538115720f, 0.800457662192622820f, 0.798614994634760820f, 
02944   0.796764810208418830f, 
02945   0.794907126328237010f, 0.793041960479443640f, 0.791169330217690200f, 
02946   0.789289253168885650f, 
02947   0.787401747029031430f, 0.785506829564053930f, 0.783604518609638200f, 
02948   0.781694832071059390f, 
02949   0.779777787923014550f, 0.777853404209453150f, 0.775921699043407690f, 
02950   0.773982690606822900f, 
02951   0.772036397150384520f, 0.770082836993347900f, 0.768122028523365420f, 
02952   0.766153990196312920f, 
02953   0.764178740536116670f, 0.762196298134578900f, 0.760206681651202420f, 
02954   0.758209909813015280f, 
02955   0.756206001414394540f, 0.754194975316889170f, 0.752176850449042810f, 
02956   0.750151645806215070f, 
02957   0.748119380450403600f, 0.746080073510063780f, 0.744033744179929290f, 
02958   0.741980411720831070f, 
02959   0.739920095459516200f, 0.737852814788465980f, 0.735778589165713590f, 
02960   0.733697438114660370f, 
02961   0.731609381223892630f, 0.729514438146997010f, 0.727412628602375770f, 
02962   0.725303972373060770f, 
02963   0.723188489306527460f, 0.721066199314508110f, 0.718937122372804490f, 
02964   0.716801278521099540f, 
02965   0.714658687862769090f, 0.712509370564692320f, 0.710353346857062420f, 
02966   0.708190637033195400f, 
02967   0.706021261449339740f, 0.703845240524484940f, 0.701662594740168570f, 
02968   0.699473344640283770f, 
02969   0.697277510830886630f, 0.695075113980000880f, 0.692866174817424740f, 
02970   0.690650714134534720f, 
02971   0.688428752784090550f, 0.686200311680038700f, 0.683965411797315510f, 
02972   0.681724074171649820f, 
02973   0.679476319899365080f, 0.677222170137180450f, 0.674961646102012040f, 
02974   0.672694769070772970f, 
02975   0.670421560380173090f, 0.668142041426518560f, 0.665856233665509720f, 
02976   0.663564158612039880f, 
02977   0.661265837839992270f, 0.658961292982037320f, 0.656650545729429050f, 
02978   0.654333617831800550f, 
02979   0.652010531096959500f, 0.649681307390683190f, 0.647345968636512060f, 
02980   0.645004536815544040f, 
02981   0.642657033966226860f, 0.640303482184151670f, 0.637943903621844170f, 
02982   0.635578320488556230f, 
02983   0.633206755050057190f, 0.630829229628424470f, 0.628445766601832710f, 
02984   0.626056388404343520f, 
02985   0.623661117525694640f, 0.621259976511087660f, 0.618852987960976320f, 
02986   0.616440174530853650f, 
02987   0.614021558931038490f, 0.611597163926462020f, 0.609167012336453210f, 
02988   0.606731127034524480f, 
02989   0.604289530948156070f, 0.601842247058580030f, 0.599389298400564540f, 
02990   0.596930708062196500f, 
02991   0.594466499184664540f, 0.591996694962040990f, 0.589521318641063940f, 
02992   0.587040393520918080f, 
02993   0.584553942953015330f, 0.582061990340775550f, 0.579564559139405740f, 
02994   0.577061672855679550f, 
02995   0.574553355047715760f, 0.572039629324757050f, 0.569520519346947250f, 
02996   0.566996048825108680f, 
02997   0.564466241520519500f, 0.561931121244689470f, 0.559390711859136140f, 
02998   0.556845037275160100f, 
02999   0.554294121453620110f, 0.551737988404707450f, 0.549176662187719770f, 
03000   0.546610166910834860f, 
03001   0.544038526730883930f, 0.541461765853123560f, 0.538879908531008420f, 
03002   0.536292979065963180f, 
03003   0.533701001807152960f, 0.531104001151255000f, 0.528502001542228480f, 
03004   0.525895027471084740f, 
03005   0.523283103475656430f, 0.520666254140367270f, 0.518044504095999340f, 
03006   0.515417878019463150f, 
03007   0.512786400633563070f, 0.510150096706766700f, 0.507508991052970870f, 
03008   0.504863108531267480f, 
03009   0.502212474045710900f, 0.499557112545081890f, 0.496897049022654640f, 
03010   0.494232308515959730f, 
03011   0.491562916106550060f, 0.488888896919763230f, 0.486210276124486530f, 
03012   0.483527078932918740f, 
03013   0.480839330600333900f, 0.478147056424843120f, 0.475450281747155870f, 
03014   0.472749031950342900f, 
03015   0.470043332459595620f, 0.467333208741988530f, 0.464618686306237820f, 
03016   0.461899790702462840f, 
03017   0.459176547521944150f, 0.456448982396883860f, 0.453717121000163930f, 
03018   0.450980989045103810f, 
03019   0.448240612285220000f, 0.445496016513981740f, 0.442747227564570130f, 
03020   0.439994271309633260f, 
03021   0.437237173661044200f, 0.434475960569655710f, 0.431710658025057370f, 
03022   0.428941292055329550f, 
03023   0.426167888726799620f, 0.423390474143796100f, 0.420609074448402510f, 
03024   0.417823715820212380f, 
03025   0.415034424476081630f, 0.412241226669883000f, 0.409444148692257590f, 
03026   0.406643216870369140f, 
03027   0.403838457567654130f, 0.401029897183575790f, 0.398217562153373620f, 
03028   0.395401478947816300f, 
03029   0.392581674072951530f, 0.389758174069856410f, 0.386931005514388690f, 
03030   0.384100195016935040f, 
03031   0.381265769222162490f, 0.378427754808765620f, 0.375586178489217330f, 
03032   0.372741067009515810f, 
03033   0.369892447148934270f, 0.367040345719767240f, 0.364184789567079840f, 
03034   0.361325805568454340f, 
03035   0.358463420633736540f, 0.355597661704783960f, 0.352728555755210730f, 
03036   0.349856129790135030f, 
03037   0.346980410845923680f, 0.344101425989938980f, 0.341219202320282410f, 
03038   0.338333766965541290f, 
03039   0.335445147084531660f, 0.332553369866044220f, 0.329658462528587550f, 
03040   0.326760452320131790f, 
03041   0.323859366517852960f, 0.320955232427875210f, 0.318048077385015060f, 
03042   0.315137928752522440f, 
03043   0.312224813921825050f, 0.309308760312268780f, 0.306389795370861080f, 
03044   0.303467946572011370f, 
03045   0.300543241417273400f, 0.297615707435086310f, 0.294685372180514330f, 
03046   0.291752263234989370f, 
03047   0.288816408206049480f, 0.285877834727080730f, 0.282936570457055390f, 
03048   0.279992643080273380f, 
03049   0.277046080306099950f, 0.274096909868706330f, 0.271145159526808070f, 
03050   0.268190857063403180f, 
03051   0.265234030285511900f, 0.262274707023913590f, 0.259312915132886350f, 
03052   0.256348682489942910f, 
03053   0.253382036995570270f, 0.250413006572965280f, 0.247441619167773440f, 
03054   0.244467902747824210f, 
03055   0.241491885302869300f, 0.238513594844318500f, 0.235533059404975460f, 
03056   0.232550307038775330f, 
03057   0.229565365820518870f, 0.226578263845610110f, 0.223589029229790020f, 
03058   0.220597690108873650f, 
03059   0.217604274638483670f, 0.214608810993786920f, 0.211611327369227610f, 
03060   0.208611851978263460f, 
03061   0.205610413053099320f, 0.202607038844421110f, 0.199601757621131050f, 
03062   0.196594597670080220f, 
03063   0.193585587295803750f, 0.190574754820252800f, 0.187562128582529740f, 
03064   0.184547736938619640f, 
03065   0.181531608261125130f, 0.178513770938997590f, 0.175494253377271400f, 
03066   0.172473083996796030f, 
03067   0.169450291233967930f, 0.166425903540464220f, 0.163399949382973230f, 
03068   0.160372457242928400f, 
03069   0.157343455616238280f, 0.154312973013020240f, 0.151281037957330250f, 
03070   0.148247678986896200f, 
03071   0.145212924652847520f, 0.142176803519448000f, 0.139139344163826280f, 
03072   0.136100575175706200f, 
03073   0.133060525157139180f, 0.130019222722233350f, 0.126976696496885980f, 
03074   0.123932975118512200f, 
03075   0.120888087235777220f, 0.117842061508325020f, 0.114794926606510250f, 
03076   0.111746711211126660f, 
03077   0.108697444013138670f, 0.105647153713410700f, 0.102595869022436280f, 
03078   0.099543618660069444f, 
03079   0.096490431355252607f, 0.093436335845747912f, 0.090381360877865011f, 
03080   0.087325535206192226f, 
03081   0.084268887593324127f, 0.081211446809592386f, 0.078153241632794315f, 
03082   0.075094300847921291f, 
03083   0.072034653246889416f, 0.068974327628266732f, 0.065913352797003930f, 
03084   0.062851757564161420f, 
03085   0.059789570746640007f, 0.056726821166907783f, 0.053663537652730679f, 
03086   0.050599749036899337f, 
03087   0.047535484156959261f, 0.044470771854938744f, 0.041405640977076712f, 
03088   0.038340120373552791f, 
03089   0.035274238898213947f, 0.032208025408304704f, 0.029141508764193740f, 
03090   0.026074717829104040f, 
03091   0.023007681468839410f, 0.019940428551514598f, 0.016872987947281773f, 
03092   0.013805388528060349f, 
03093   0.010737659167264572f, 0.007669828739531077f, 0.004601926120448672f, 
03094   0.001533980186284766f 
03095 }; 
03096  
03097 static const float32_t cos_factors_2048[2048] = { 
03098   0.999999926465717890f, 0.999999338191525530f, 0.999998161643486980f, 
03099   0.999996396822294350f, 
03100   0.999994043728985820f, 0.999991102364945590f, 0.999987572731904080f, 
03101   0.999983454831937730f, 
03102   0.999978748667468830f, 0.999973454241265940f, 0.999967571556443780f, 
03103   0.999961100616462820f, 
03104   0.999954041425129780f, 0.999946393986597460f, 0.999938158305364590f, 
03105   0.999929334386276070f, 
03106   0.999919922234522750f, 0.999909921855641540f, 0.999899333255515390f, 
03107   0.999888156440373320f, 
03108   0.999876391416790410f, 0.999864038191687680f, 0.999851096772332190f, 
03109   0.999837567166337090f, 
03110   0.999823449381661570f, 0.999808743426610520f, 0.999793449309835270f, 
03111   0.999777567040332940f, 
03112   0.999761096627446610f, 0.999744038080865430f, 0.999726391410624470f, 
03113   0.999708156627104880f, 
03114   0.999689333741033640f, 0.999669922763483760f, 0.999649923705874240f, 
03115   0.999629336579970110f, 
03116   0.999608161397882110f, 0.999586398172067070f, 0.999564046915327740f, 
03117   0.999541107640812940f, 
03118   0.999517580362016990f, 0.999493465092780590f, 0.999468761847290050f, 
03119   0.999443470640077770f, 
03120   0.999417591486021720f, 0.999391124400346050f, 0.999364069398620550f, 
03121   0.999336426496761240f, 
03122   0.999308195711029470f, 0.999279377058032710f, 0.999249970554724420f, 
03123   0.999219976218403530f, 
03124   0.999189394066714920f, 0.999158224117649430f, 0.999126466389543390f, 
03125   0.999094120901079070f, 
03126   0.999061187671284600f, 0.999027666719533690f, 0.998993558065545680f, 
03127   0.998958861729386080f, 
03128   0.998923577731465780f, 0.998887706092541290f, 0.998851246833715180f, 
03129   0.998814199976435390f, 
03130   0.998776565542495610f, 0.998738343554035230f, 0.998699534033539280f, 
03131   0.998660137003838490f, 
03132   0.998620152488108870f, 0.998579580509872500f, 0.998538421092996730f, 
03133   0.998496674261694640f, 
03134   0.998454340040524800f, 0.998411418454391300f, 0.998367909528543820f, 
03135   0.998323813288577560f, 
03136   0.998279129760433200f, 0.998233858970396850f, 0.998188000945100300f, 
03137   0.998141555711520520f, 
03138   0.998094523296980010f, 0.998046903729146840f, 0.997998697036034390f, 
03139   0.997949903246001190f, 
03140   0.997900522387751620f, 0.997850554490335110f, 0.997799999583146470f, 
03141   0.997748857695925690f, 
03142   0.997697128858758500f, 0.997644813102075420f, 0.997591910456652630f, 
03143   0.997538420953611340f, 
03144   0.997484344624417930f, 0.997429681500884180f, 0.997374431615167150f, 
03145   0.997318594999768600f, 
03146   0.997262171687536170f, 0.997205161711661850f, 0.997147565105683480f, 
03147   0.997089381903483400f, 
03148   0.997030612139289450f, 0.996971255847674320f, 0.996911313063555740f, 
03149   0.996850783822196610f, 
03150   0.996789668159204560f, 0.996727966110532490f, 0.996665677712478160f, 
03151   0.996602803001684130f, 
03152   0.996539342015137940f, 0.996475294790172160f, 0.996410661364464100f, 
03153   0.996345441776035900f, 
03154   0.996279636063254650f, 0.996213244264832040f, 0.996146266419824620f, 
03155   0.996078702567633980f, 
03156   0.996010552748005870f, 0.995941817001031350f, 0.995872495367145730f, 
03157   0.995802587887129160f, 
03158   0.995732094602106430f, 0.995661015553546910f, 0.995589350783264600f, 
03159   0.995517100333418110f, 
03160   0.995444264246510340f, 0.995370842565388990f, 0.995296835333246090f, 
03161   0.995222242593618360f, 
03162   0.995147064390386470f, 0.995071300767776170f, 0.994994951770357020f, 
03163   0.994918017443043200f, 
03164   0.994840497831093180f, 0.994762392980109930f, 0.994683702936040250f, 
03165   0.994604427745175660f, 
03166   0.994524567454151740f, 0.994444122109948040f, 0.994363091759888570f, 
03167   0.994281476451641550f, 
03168   0.994199276233218910f, 0.994116491152977070f, 0.994033121259616400f, 
03169   0.993949166602181130f, 
03170   0.993864627230059750f, 0.993779503192984580f, 0.993693794541031790f, 
03171   0.993607501324621610f, 
03172   0.993520623594518090f, 0.993433161401829360f, 0.993345114798006910f, 
03173   0.993256483834846440f, 
03174   0.993167268564487230f, 0.993077469039412300f, 0.992987085312448390f, 
03175   0.992896117436765980f, 
03176   0.992804565465879140f, 0.992712429453645460f, 0.992619709454266140f, 
03177   0.992526405522286100f, 
03178   0.992432517712593660f, 0.992338046080420420f, 0.992242990681341700f, 
03179   0.992147351571276090f, 
03180   0.992051128806485720f, 0.991954322443575950f, 0.991856932539495470f, 
03181   0.991758959151536110f, 
03182   0.991660402337333210f, 0.991561262154865290f, 0.991461538662453790f, 
03183   0.991361231918763460f, 
03184   0.991260341982802440f, 0.991158868913921350f, 0.991056812771814340f, 
03185   0.990954173616518500f, 
03186   0.990850951508413620f, 0.990747146508222710f, 0.990642758677011570f, 
03187   0.990537788076188750f, 
03188   0.990432234767505970f, 0.990326098813057330f, 0.990219380275280000f, 
03189   0.990112079216953770f, 
03190   0.990004195701200910f, 0.989895729791486660f, 0.989786681551618640f, 
03191   0.989677051045747210f, 
03192   0.989566838338365120f, 0.989456043494307710f, 0.989344666578752640f, 
03193   0.989232707657220050f, 
03194   0.989120166795572690f, 0.989007044060015270f, 0.988893339517095130f, 
03195   0.988779053233701520f, 
03196   0.988664185277066230f, 0.988548735714763200f, 0.988432704614708340f, 
03197   0.988316092045159690f, 
03198   0.988198898074717610f, 0.988081122772324070f, 0.987962766207263420f, 
03199   0.987843828449161740f, 
03200   0.987724309567986960f, 0.987604209634049160f, 0.987483528717999710f, 
03201   0.987362266890832400f, 
03202   0.987240424223882250f, 0.987118000788826280f, 0.986994996657682980f, 
03203   0.986871411902812470f, 
03204   0.986747246596916590f, 0.986622500813038480f, 0.986497174624562880f, 
03205   0.986371268105216030f, 
03206   0.986244781329065460f, 0.986117714370520090f, 0.985990067304330140f, 
03207   0.985861840205586980f, 
03208   0.985733033149723490f, 0.985603646212513400f, 0.985473679470071810f, 
03209   0.985343132998854790f, 
03210   0.985212006875659350f, 0.985080301177623800f, 0.984948015982227030f, 
03211   0.984815151367289140f, 
03212   0.984681707410970940f, 0.984547684191773960f, 0.984413081788540700f, 
03213   0.984277900280454370f, 
03214   0.984142139747038570f, 0.984005800268157870f, 0.983868881924017220f, 
03215   0.983731384795162090f, 
03216   0.983593308962478650f, 0.983454654507193270f, 0.983315421510872810f, 
03217   0.983175610055424420f, 
03218   0.983035220223095640f, 0.982894252096474070f, 0.982752705758487830f, 
03219   0.982610581292404750f, 
03220   0.982467878781833170f, 0.982324598310721280f, 0.982180739963357090f, 
03221   0.982036303824369020f, 
03222   0.981891289978725100f, 0.981745698511732990f, 0.981599529509040720f, 
03223   0.981452783056635520f, 
03224   0.981305459240844670f, 0.981157558148334830f, 0.981009079866112630f, 
03225   0.980860024481523870f, 
03226   0.980710392082253970f, 0.980560182756327840f, 0.980409396592109910f, 
03227   0.980258033678303550f, 
03228   0.980106094103951770f, 0.979953577958436740f, 0.979800485331479790f, 
03229   0.979646816313141210f, 
03230   0.979492570993820810f, 0.979337749464256780f, 0.979182351815526930f, 
03231   0.979026378139047580f, 
03232   0.978869828526574120f, 0.978712703070200420f, 0.978555001862359550f, 
03233   0.978396724995823090f, 
03234   0.978237872563701090f, 0.978078444659442380f, 0.977918441376834370f, 
03235   0.977757862810002760f, 
03236   0.977596709053411890f, 0.977434980201864260f, 0.977272676350500860f, 
03237   0.977109797594800880f, 
03238   0.976946344030581670f, 0.976782315753998650f, 0.976617712861545640f, 
03239   0.976452535450054060f, 
03240   0.976286783616693630f, 0.976120457458971910f, 0.975953557074734300f, 
03241   0.975786082562163930f, 
03242   0.975618034019781750f, 0.975449411546446380f, 0.975280215241354220f, 
03243   0.975110445204038890f, 
03244   0.974940101534371830f, 0.974769184332561770f, 0.974597693699155050f, 
03245   0.974425629735034990f, 
03246   0.974252992541422500f, 0.974079782219875680f, 0.973905998872289570f, 
03247   0.973731642600896400f, 
03248   0.973556713508265560f, 0.973381211697303290f, 0.973205137271252800f, 
03249   0.973028490333694210f, 
03250   0.972851270988544180f, 0.972673479340056430f, 0.972495115492821190f, 
03251   0.972316179551765300f, 
03252   0.972136671622152230f, 0.971956591809581720f, 0.971775940219990140f, 
03253   0.971594716959650160f, 
03254   0.971412922135170940f, 0.971230555853497380f, 0.971047618221911100f, 
03255   0.970864109348029470f, 
03256   0.970680029339806130f, 0.970495378305530560f, 0.970310156353828110f, 
03257   0.970124363593660280f, 
03258   0.969938000134323960f, 0.969751066085452140f, 0.969563561557013180f, 
03259   0.969375486659311280f, 
03260   0.969186841502985950f, 0.968997626199012420f, 0.968807840858700970f, 
03261   0.968617485593697540f, 
03262   0.968426560515983190f, 0.968235065737874320f, 0.968043001372022260f, 
03263   0.967850367531413620f, 
03264   0.967657164329369880f, 0.967463391879547550f, 0.967269050295937790f, 
03265   0.967074139692867040f, 
03266   0.966878660184995910f, 0.966682611887320080f, 0.966485994915169840f, 
03267   0.966288809384209690f, 
03268   0.966091055410438830f, 0.965892733110190860f, 0.965693842600133690f, 
03269   0.965494383997269500f, 
03270   0.965294357418934660f, 0.965093762982799590f, 0.964892600806868890f, 
03271   0.964690871009481030f, 
03272   0.964488573709308410f, 0.964285709025357480f, 0.964082277076968140f, 
03273   0.963878277983814200f, 
03274   0.963673711865903230f, 0.963468578843575950f, 0.963262879037507070f, 
03275   0.963056612568704340f, 
03276   0.962849779558509030f, 0.962642380128595710f, 0.962434414400972100f, 
03277   0.962225882497979020f, 
03278   0.962016784542290560f, 0.961807120656913540f, 0.961596890965187860f, 
03279   0.961386095590786250f, 
03280   0.961174734657714080f, 0.960962808290309780f, 0.960750316613243950f, 
03281   0.960537259751520050f, 
03282   0.960323637830473920f, 0.960109450975773940f, 0.959894699313420530f, 
03283   0.959679382969746750f, 
03284   0.959463502071417510f, 0.959247056745430090f, 0.959030047119113660f, 
03285   0.958812473320129310f, 
03286   0.958594335476470220f, 0.958375633716461170f, 0.958156368168758820f, 
03287   0.957936538962351420f, 
03288   0.957716146226558870f, 0.957495190091032570f, 0.957273670685755200f, 
03289   0.957051588141040970f, 
03290   0.956828942587535370f, 0.956605734156215080f, 0.956381962978387730f, 
03291   0.956157629185692140f, 
03292   0.955932732910098280f, 0.955707274283906560f, 0.955481253439748770f, 
03293   0.955254670510586990f, 
03294   0.955027525629714160f, 0.954799818930753720f, 0.954571550547659630f, 
03295   0.954342720614716480f, 
03296   0.954113329266538800f, 0.953883376638071770f, 0.953652862864590500f, 
03297   0.953421788081700310f, 
03298   0.953190152425336670f, 0.952957956031764700f, 0.952725199037579570f, 
03299   0.952491881579706320f, 
03300   0.952258003795399600f, 0.952023565822243570f, 0.951788567798152130f, 
03301   0.951553009861368590f, 
03302   0.951316892150465550f, 0.951080214804345010f, 0.950842977962238160f, 
03303   0.950605181763705340f, 
03304   0.950366826348635780f, 0.950127911857248100f, 0.949888438430089300f, 
03305   0.949648406208035480f, 
03306   0.949407815332291570f, 0.949166665944390700f, 0.948924958186195160f, 
03307   0.948682692199895090f, 
03308   0.948439868128009620f, 0.948196486113385580f, 0.947952546299198670f, 
03309   0.947708048828952100f, 
03310   0.947462993846477700f, 0.947217381495934820f, 0.946971211921810880f, 
03311   0.946724485268921170f, 
03312   0.946477201682408680f, 0.946229361307743820f, 0.945980964290724760f, 
03313   0.945732010777477150f, 
03314   0.945482500914453740f, 0.945232434848435000f, 0.944981812726528150f, 
03315   0.944730634696167800f, 
03316   0.944478900905115550f, 0.944226611501459810f, 0.943973766633615980f, 
03317   0.943720366450326200f, 
03318   0.943466411100659320f, 0.943211900734010620f, 0.942956835500102120f, 
03319   0.942701215548981900f, 
03320   0.942445041031024890f, 0.942188312096931770f, 0.941931028897729620f, 
03321   0.941673191584771360f, 
03322   0.941414800309736340f, 0.941155855224629190f, 0.940896356481780830f, 
03323   0.940636304233847590f, 
03324   0.940375698633811540f, 0.940114539834980280f, 0.939852827990986680f, 
03325   0.939590563255789270f, 
03326   0.939327745783671400f, 0.939064375729241950f, 0.938800453247434770f, 
03327   0.938535978493508560f, 
03328   0.938270951623047190f, 0.938005372791958840f, 0.937739242156476970f, 
03329   0.937472559873159250f, 
03330   0.937205326098887960f, 0.936937540990869900f, 0.936669204706636170f, 
03331   0.936400317404042060f, 
03332   0.936130879241267030f, 0.935860890376814640f, 0.935590350969512370f, 
03333   0.935319261178511610f, 
03334   0.935047621163287430f, 0.934775431083638700f, 0.934502691099687870f, 
03335   0.934229401371880820f, 
03336   0.933955562060986730f, 0.933681173328098410f, 0.933406235334631520f, 
03337   0.933130748242325230f, 
03338   0.932854712213241120f, 0.932578127409764420f, 0.932300993994602760f, 
03339   0.932023312130786490f, 
03340   0.931745081981668720f, 0.931466303710925090f, 0.931186977482553750f, 
03341   0.930907103460875130f, 
03342   0.930626681810531760f, 0.930345712696488470f, 0.930064196284032360f, 
03343   0.929782132738772190f, 
03344   0.929499522226638560f, 0.929216364913884040f, 0.928932660967082820f, 
03345   0.928648410553130520f, 
03346   0.928363613839244370f, 0.928078270992963140f, 0.927792382182146320f, 
03347   0.927505947574975180f, 
03348   0.927218967339951790f, 0.926931441645899130f, 0.926643370661961230f, 
03349   0.926354754557602860f, 
03350   0.926065593502609310f, 0.925775887667086740f, 0.925485637221461490f, 
03351   0.925194842336480530f, 
03352   0.924903503183210910f, 0.924611619933039970f, 0.924319192757675160f, 
03353   0.924026221829143850f, 
03354   0.923732707319793290f, 0.923438649402290370f, 0.923144048249621930f, 
03355   0.922848904035094120f, 
03356   0.922553216932332830f, 0.922256987115283030f, 0.921960214758209220f, 
03357   0.921662900035694730f, 
03358   0.921365043122642340f, 0.921066644194273640f, 0.920767703426128790f, 
03359   0.920468220994067110f, 
03360   0.920168197074266340f, 0.919867631843222950f, 0.919566525477751530f, 
03361   0.919264878154985370f, 
03362   0.918962690052375630f, 0.918659961347691900f, 0.918356692219021720f, 
03363   0.918052882844770380f, 
03364   0.917748533403661250f, 0.917443644074735220f, 0.917138215037350710f, 
03365   0.916832246471183890f, 
03366   0.916525738556228210f, 0.916218691472794220f, 0.915911105401509880f, 
03367   0.915602980523320230f, 
03368   0.915294317019487050f, 0.914985115071589310f, 0.914675374861522390f, 
03369   0.914365096571498560f, 
03370   0.914054280384046570f, 0.913742926482011390f, 0.913431035048554720f, 
03371   0.913118606267154240f, 
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03941   0.272990304331329980f, 
03942   0.272252366474536660f, 0.271514268458690810f, 0.270776010717996010f, 
03943   0.270037593686750510f, 
03944   0.269299017799346230f, 0.268560283490267890f, 0.267821391194094320f, 
03945   0.267082341345496350f, 
03946   0.266343134379238180f, 0.265603770730176440f, 0.264864250833259320f, 
03947   0.264124575123527490f, 
03948   0.263384744036113390f, 0.262644758006240100f, 0.261904617469222560f, 
03949   0.261164322860466590f, 
03950   0.260423874615468010f, 0.259683273169813930f, 0.258942518959180580f, 
03951   0.258201612419334870f, 
03952   0.257460553986133210f, 0.256719344095520720f, 0.255977983183532380f, 
03953   0.255236471686291820f, 
03954   0.254494810040010790f, 0.253752998680989940f, 0.253011038045617980f, 
03955   0.252268928570370810f, 
03956   0.251526670691812780f, 0.250784264846594550f, 0.250041711471454650f, 
03957   0.249299011003218300f, 
03958   0.248556163878796620f, 0.247813170535187620f, 0.247070031409475370f, 
03959   0.246326746938829060f, 
03960   0.245583317560504000f, 0.244839743711840750f, 0.244096025830264210f, 
03961   0.243352164353284880f, 
03962   0.242608159718496890f, 0.241864012363579210f, 0.241119722726294730f, 
03963   0.240375291244489500f, 
03964   0.239630718356093560f, 0.238886004499120170f, 0.238141150111664870f, 
03965   0.237396155631906550f, 
03966   0.236651021498106460f, 0.235905748148607370f, 0.235160336021834860f, 
03967   0.234414785556295250f, 
03968   0.233669097190576820f, 0.232923271363349120f, 0.232177308513361770f, 
03969   0.231431209079445730f, 
03970   0.230684973500512310f, 0.229938602215552260f, 0.229192095663636740f, 
03971   0.228445454283916550f, 
03972   0.227698678515621170f, 0.226951768798059980f, 0.226204725570620270f, 
03973   0.225457549272768540f, 
03974   0.224710240344049570f, 0.223962799224085520f, 0.223215226352576960f, 
03975   0.222467522169301990f, 
03976   0.221719687114115240f, 0.220971721626949060f, 0.220223626147812460f, 
03977   0.219475401116790340f, 
03978   0.218727046974044600f, 0.217978564159812290f, 0.217229953114406790f, 
03979   0.216481214278216900f, 
03980   0.215732348091705940f, 0.214983354995412820f, 0.214234235429951100f, 
03981   0.213484989836008080f, 
03982   0.212735618654345870f, 0.211986122325800410f, 0.211236501291280710f, 
03983   0.210486755991769890f, 
03984   0.209736886868323370f, 0.208986894362070070f, 0.208236778914211470f, 
03985   0.207486540966020700f, 
03986   0.206736180958843660f, 0.205985699334098050f, 0.205235096533272380f, 
03987   0.204484372997927180f, 
03988   0.203733529169694010f, 0.202982565490274460f, 0.202231482401441620f, 
03989   0.201480280345037820f, 
03990   0.200728959762976140f, 0.199977521097239290f, 0.199225964789878890f, 
03991   0.198474291283016360f, 
03992   0.197722501018842030f, 0.196970594439614370f, 0.196218571987660850f, 
03993   0.195466434105377090f, 
03994   0.194714181235225990f, 0.193961813819739010f, 0.193209332301514080f, 
03995   0.192456737123216840f, 
03996   0.191704028727579940f, 0.190951207557401860f, 0.190198274055548120f, 
03997   0.189445228664950340f, 
03998   0.188692071828605260f, 0.187938803989575850f, 0.187185425590990440f, 
03999   0.186431937076041640f, 
04000   0.185678338887987790f, 0.184924631470150870f, 0.184170815265917720f, 
04001   0.183416890718739230f, 
04002   0.182662858272129360f, 0.181908718369666160f, 0.181154471454990920f, 
04003   0.180400117971807270f, 
04004   0.179645658363882100f, 0.178891093075044830f, 0.178136422549186320f, 
04005   0.177381647230260200f, 
04006   0.176626767562280960f, 0.175871783989325040f, 0.175116696955530060f, 
04007   0.174361506905093830f, 
04008   0.173606214282275410f, 0.172850819531394200f, 0.172095323096829040f, 
04009   0.171339725423019260f, 
04010   0.170584026954463700f, 0.169828228135719880f, 0.169072329411405180f, 
04011   0.168316331226194910f, 
04012   0.167560234024823590f, 0.166804038252083870f, 0.166047744352825850f, 
04013   0.165291352771957970f, 
04014   0.164534863954446110f, 0.163778278345312690f, 0.163021596389637810f, 
04015   0.162264818532558110f, 
04016   0.161507945219266150f, 0.160750976895011390f, 0.159993914005098350f, 
04017   0.159236756994887850f, 
04018   0.158479506309796100f, 0.157722162395293690f, 0.156964725696906750f, 
04019   0.156207196660216040f, 
04020   0.155449575730855880f, 0.154691863354515400f, 0.153934059976937460f, 
04021   0.153176166043917870f, 
04022   0.152418182001306500f, 0.151660108295005400f, 0.150901945370970040f, 
04023   0.150143693675208330f, 
04024   0.149385353653779810f, 0.148626925752796540f, 0.147868410418422360f, 
04025   0.147109808096871850f, 
04026   0.146351119234411440f, 0.145592344277358450f, 0.144833483672080240f, 
04027   0.144074537864995330f, 
04028   0.143315507302571590f, 0.142556392431327340f, 0.141797193697830530f, 
04029   0.141037911548697770f, 
04030   0.140278546430595420f, 0.139519098790238600f, 0.138759569074390380f, 
04031   0.137999957729862760f, 
04032   0.137240265203515700f, 0.136480491942256310f, 0.135720638393040080f, 
04033   0.134960705002868830f, 
04034   0.134200692218792020f, 0.133440600487905820f, 0.132680430257352130f, 
04035   0.131920181974319760f, 
04036   0.131159856086043410f, 0.130399453039802740f, 0.129638973282923540f, 
04037   0.128878417262776660f, 
04038   0.128117785426777150f, 0.127357078222385570f, 0.126596296097105960f, 
04039   0.125835439498487020f, 
04040   0.125074508874121300f, 0.124313504671644300f, 0.123552427338735370f, 
04041   0.122791277323116900f, 
04042   0.122030055072553410f, 0.121268761034852550f, 0.120507395657864240f, 
04043   0.119745959389479630f, 
04044   0.118984452677632520f, 0.118222875970297250f, 0.117461229715489990f, 
04045   0.116699514361267840f, 
04046   0.115937730355727850f, 0.115175878147008180f, 0.114413958183287050f, 
04047   0.113651970912781920f, 
04048   0.112889916783750470f, 0.112127796244489750f, 0.111365609743335190f, 
04049   0.110603357728661910f, 
04050   0.109841040648882680f, 0.109078658952449240f, 0.108316213087851300f, 
04051   0.107553703503615710f, 
04052   0.106791130648307380f, 0.106028494970528530f, 0.105265796918917650f, 
04053   0.104503036942150550f, 
04054   0.103740215488939480f, 0.102977333008032250f, 0.102214389948213370f, 
04055   0.101451386758302160f, 
04056   0.100688323887153970f, 0.099925201783659226f, 0.099162020896742573f, 
04057   0.098398781675363881f, 
04058   0.097635484568517339f, 0.096872130025230527f, 0.096108718494565468f, 
04059   0.095345250425617742f, 
04060   0.094581726267515473f, 0.093818146469420494f, 0.093054511480527333f, 
04061   0.092290821750062355f, 
04062   0.091527077727284981f, 0.090763279861485704f, 0.089999428601987341f, 
04063   0.089235524398144139f, 
04064   0.088471567699340822f, 0.087707558954993645f, 0.086943498614549489f, 
04065   0.086179387127484922f, 
04066   0.085415224943307277f, 0.084651012511553700f, 0.083886750281790226f, 
04067   0.083122438703613077f, 
04068   0.082358078226646619f, 0.081593669300544638f, 0.080829212374989468f, 
04069   0.080064707899690932f, 
04070   0.079300156324387569f, 0.078535558098845590f, 0.077770913672857989f, 
04071   0.077006223496245585f, 
04072   0.076241488018856149f, 0.075476707690563416f, 0.074711882961268378f, 
04073   0.073947014280897269f, 
04074   0.073182102099402888f, 0.072417146866763538f, 0.071652149032982254f, 
04075   0.070887109048087787f, 
04076   0.070122027362133646f, 0.069356904425197236f, 0.068591740687380900f, 
04077   0.067826536598810966f, 
04078   0.067061292609636836f, 0.066296009170032283f, 0.065530686730193397f, 
04079   0.064765325740339871f, 
04080   0.063999926650714078f, 0.063234489911580136f, 0.062469015973224969f, 
04081   0.061703505285957416f, 
04082   0.060937958300107238f, 0.060172375466026218f, 0.059406757234087247f, 
04083   0.058641104054683348f, 
04084   0.057875416378229017f, 0.057109694655158132f, 0.056343939335925283f, 
04085   0.055578150871004817f, 
04086   0.054812329710889909f, 0.054046476306093640f, 0.053280591107148056f, 
04087   0.052514674564603257f, 
04088   0.051748727129028414f, 0.050982749251010900f, 0.050216741381155325f, 
04089   0.049450703970084824f, 
04090   0.048684637468439020f, 0.047918542326875327f, 0.047152418996068000f, 
04091   0.046386267926707213f, 
04092   0.045620089569500123f, 0.044853884375169933f, 0.044087652794454979f, 
04093   0.043321395278109784f, 
04094   0.042555112276904117f, 0.041788804241622082f, 0.041022471623063397f, 
04095   0.040256114872041358f, 
04096   0.039489734439384118f, 0.038723330775933762f, 0.037956904332545366f, 
04097   0.037190455560088091f, 
04098   0.036423984909444228f, 0.035657492831508264f, 0.034890979777187955f, 
04099   0.034124446197403423f, 
04100   0.033357892543086159f, 0.032591319265180385f, 0.031824726814640963f, 
04101   0.031058115642434700f, 
04102   0.030291486199539423f, 0.029524838936943035f, 0.028758174305644590f, 
04103   0.027991492756653365f, 
04104   0.027224794740987910f, 0.026458080709677145f, 0.025691351113759395f, 
04105   0.024924606404281485f, 
04106   0.024157847032300020f, 0.023391073448879338f, 0.022624286105092803f, 
04107   0.021857485452021874f, 
04108   0.021090671940755180f, 0.020323846022389572f, 0.019557008148029204f, 
04109   0.018790158768784596f, 
04110   0.018023298335773701f, 0.017256427300120978f, 0.016489546112956454f, 
04111   0.015722655225417017f, 
04112   0.014955755088644378f, 0.014188846153786343f, 0.013421928871995907f, 
04113   0.012655003694430301f, 
04114   0.011888071072252072f, 0.011121131456628141f, 0.010354185298728884f, 
04115   0.009587233049729183f, 
04116   0.008820275160807512f, 0.008053312083144991f, 0.007286344267926684f, 
04117   0.006519372166339549f, 
04118   0.005752396229573737f, 0.004985416908821652f, 0.004218434655277024f, 
04119   0.003451449920135975f, 
04120   0.002684463154596083f, 0.001917474809855460f, 0.001150485337113809f, 
04121   0.000383495187571497f 
04122 }; 
04123  
04124 /**  
04125  * @brief  Initialization function for the floating-point DCT4/IDCT4. 
04126  * @param[in,out] *S         points to an instance of floating-point DCT4/IDCT4 structure. 
04127  * @param[in]     *S_RFFT    points to an instance of floating-point RFFT/RIFFT structure. 
04128  * @param[in]     *S_CFFT    points to an instance of floating-point CFFT/CIFFT structure. 
04129  * @param[in]     N          length of the DCT4. 
04130  * @param[in]     Nby2       half of the length of the DCT4. 
04131  * @param[in]     normalize  normalizing factor. 
04132  * @return        arm_status function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if <code>fftLenReal</code> is not a supported transform length. 
04133  * \par Normalizing factor:  
04134  * The normalizing factor is <code>sqrt(2/N)</code>, which depends on the size of transform <code>N</code>.  
04135  * Floating-point normalizing factors are mentioned in the table below for different DCT sizes:  
04136  * \image html dct4NormalizingF32Table.gif  
04137  */ 
04138  
04139 arm_status arm_dct4_init_f32( 
04140   arm_dct4_instance_f32 * S, 
04141   arm_rfft_instance_f32 * S_RFFT, 
04142   arm_cfft_radix4_instance_f32 * S_CFFT, 
04143   uint16_t N, 
04144   uint16_t Nby2, 
04145   float32_t normalize) 
04146 { 
04147   /*  Initialize the default arm status */ 
04148   arm_status status = ARM_MATH_SUCCESS; 
04149  
04150   /* Initializing the pointer array with the weight table base addresses of different lengths */ 
04151   float32_t *twiddlePtr[3] = 
04152     { (float32_t *) Weights_128 , (float32_t *) Weights_512, 
04153     (float32_t *) Weights_2048 
04154   }; 
04155  
04156   /* Initializing the pointer array with the cos factor table base addresses of different lengths */ 
04157   float32_t *pCosFactor[3] = 
04158     { (float32_t *) cos_factors_128 , (float32_t *) cos_factors_512, 
04159     (float32_t *) cos_factors_2048 
04160   }; 
04161  
04162   /* Initialize the DCT4 length */ 
04163   S->N = N; 
04164  
04165   /* Initialize the half of DCT4 length */ 
04166   S->Nby2 = Nby2; 
04167  
04168   /* Initialize the DCT4 Normalizing factor */ 
04169   S->normalize = normalize; 
04170  
04171   /* Initialize Real FFT Instance */ 
04172   S->pRfft = S_RFFT; 
04173  
04174   /* Initialize Complex FFT Instance */ 
04175   S->pCfft = S_CFFT; 
04176  
04177   switch (N) 
04178   { 
04179     /* Initialize the table modifier values */ 
04180   case 2048u: 
04181     S->pTwiddle = twiddlePtr[2]; 
04182     S->pCosFactor = pCosFactor[2]; 
04183     break; 
04184   case 512u: 
04185     S->pTwiddle = twiddlePtr[1]; 
04186     S->pCosFactor = pCosFactor[1]; 
04187     break; 
04188   case 128u: 
04189     S->pTwiddle = twiddlePtr[0]; 
04190     S->pCosFactor = pCosFactor[0]; 
04191     break; 
04192   default: 
04193     status = ARM_MATH_ARGUMENT_ERROR; 
04194   } 
04195  
04196   /* Initialize the RFFT/RIFFT */ 
04197   arm_rfft_init_f32(S->pRfft, S->pCfft, S->N, 0u, 1u); 
04198  
04199   /* return the status of DCT4 Init function */ 
04200   return (status); 
04201 } 
04202  
04203 /**  
04204    * @} end of DCT4_IDCT4 group  
04205    */