The CMSIS DSP 5 library
Dependents: Nucleo-Heart-Rate ejercicioVrms2 PROYECTOFINAL ejercicioVrms ... more
functions/TransformFunctions/arm_dct4_init_f32.c
- Committer:
- xorjoep
- Date:
- 2018-06-21
- Revision:
- 3:4098b9d3d571
- Parent:
- 1:24714b45cd1b
File content as of revision 3:4098b9d3d571:
/* ---------------------------------------------------------------------- * Project: CMSIS DSP Library * Title: arm_dct4_init_f32.c * Description: Initialization function of DCT-4 & IDCT4 F32 * * $Date: 27. January 2017 * $Revision: V.1.5.1 * * Target Processor: Cortex-M cores * -------------------------------------------------------------------- */ /* * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. * * SPDX-License-Identifier: Apache-2.0 * * Licensed under the Apache License, Version 2.0 (the License); you may * not use this file except in compliance with the License. * You may obtain a copy of the License at * * www.apache.org/licenses/LICENSE-2.0 * * Unless required by applicable law or agreed to in writing, software * distributed under the License is distributed on an AS IS BASIS, WITHOUT * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. * See the License for the specific language governing permissions and * limitations under the License. */ #include "arm_math.h" /** * @ingroup DCT4_IDCT4 */ /** * @addtogroup DCT4_IDCT4_Table DCT Type IV Tables * @{ */ /* * @brief Weights Table */ /** * \par * Weights tables are generated using the formula : <pre>weights[n] = e^(-j*n*pi/(2*N))</pre> * \par * C command to generate the table * <pre> * for(i = 0; i< N; i++) * { * weights[2*i]= cos(i*c); * weights[(2*i)+1]= -sin(i * c); * } </pre> * \par * Where <code>N</code> is the Number of weights to be calculated and <code>c</code> is <code>pi/(2*N)</code> * \par * In the tables below the real and imaginary values are placed alternatively, hence the * array length is <code>2*N</code>. */ static const float32_t Weights_128[256] = { 1.000000000000000000f, 0.000000000000000000f, 0.999924701839144500f, -0.012271538285719925f, 0.999698818696204250f, -0.024541228522912288f, 0.999322384588349540f, -0.036807222941358832f, 0.998795456205172410f, -0.049067674327418015f, 0.998118112900149180f, -0.061320736302208578f, 0.997290456678690210f, -0.073564563599667426f, 0.996312612182778000f, -0.085797312344439894f, 0.995184726672196930f, -0.098017140329560604f, 0.993906970002356060f, -0.110222207293883060f, 0.992479534598709970f, -0.122410675199216200f, 0.990902635427780010f, -0.134580708507126170f, 0.989176509964781010f, -0.146730474455361750f, 0.987301418157858430f, -0.158858143333861450f, 0.985277642388941220f, -0.170961888760301220f, 0.983105487431216290f, -0.183039887955140950f, 0.980785280403230430f, -0.195090322016128250f, 0.978317370719627650f, -0.207111376192218560f, 0.975702130038528570f, -0.219101240156869800f, 0.972939952205560180f, -0.231058108280671110f, 0.970031253194543970f, -0.242980179903263870f, 0.966976471044852070f, -0.254865659604514570f, 0.963776065795439840f, -0.266712757474898370f, 0.960430519415565790f, -0.278519689385053060f, 0.956940335732208820f, -0.290284677254462330f, 0.953306040354193860f, -0.302005949319228080f, 0.949528180593036670f, -0.313681740398891520f, 0.945607325380521280f, -0.325310292162262930f, 0.941544065183020810f, -0.336889853392220050f, 0.937339011912574960f, -0.348418680249434560f, 0.932992798834738960f, -0.359895036534988110f, 0.928506080473215590f, -0.371317193951837540f, 0.923879532511286740f, -0.382683432365089780f, 0.919113851690057770f, -0.393992040061048100f, 0.914209755703530690f, -0.405241314004989860f, 0.909167983090522380f, -0.416429560097637150f, 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0.098017140329560770f, -0.995184726672196820f, 0.085797312344439880f, -0.996312612182778000f, 0.073564563599667454f, -0.997290456678690210f, 0.061320736302208648f, -0.998118112900149180f, 0.049067674327418126f, -0.998795456205172410f, 0.036807222941358991f, -0.999322384588349540f, 0.024541228522912264f, -0.999698818696204250f, 0.012271538285719944f, -0.999924701839144500f }; static const float32_t Weights_512[1024] = { 1.000000000000000000f, 0.000000000000000000f, 0.999995293809576190f, -0.003067956762965976f, 0.999981175282601110f, -0.006135884649154475f, 0.999957644551963900f, -0.009203754782059819f, 0.999924701839144500f, -0.012271538285719925f, 0.999882347454212560f, -0.015339206284988100f, 0.999830581795823400f, -0.018406729905804820f, 0.999769405351215280f, -0.021474080275469508f, 0.999698818696204250f, -0.024541228522912288f, 0.999618822495178640f, -0.027608145778965740f, 0.999529417501093140f, -0.030674803176636626f, 0.999430604555461730f, -0.033741171851377580f, 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0.014188846153786343f, -0.999899333255515390f, 0.013997117598240459f, -0.999902035550953920f, 0.013805388528060349f, -0.999904701082852900f, 0.013613658950295789f, -0.999907329851114300f, 0.013421928871995907f, -0.999909921855641540f, 0.013230198300209845f, -0.999912477096339240f, 0.013038467241987433f, -0.999914995573113470f, 0.012846735704377631f, -0.999917477285871770f, 0.012655003694430301f, -0.999919922234522750f, 0.012463271219194662f, -0.999922330418976490f, 0.012271538285719944f, -0.999924701839144500f, 0.012079804901056066f, -0.999927036494939640f, 0.011888071072252072f, -0.999929334386276070f, 0.011696336806357907f, -0.999931595513069200f, 0.011504602110422875f, -0.999933819875236000f, 0.011312866991496287f, -0.999936007472694620f, 0.011121131456628141f, -0.999938158305364590f, 0.010929395512867561f, -0.999940272373166960f, 0.010737659167264572f, -0.999942349676023910f, 0.010545922426868548f, -0.999944390213859060f, 0.010354185298728884f, -0.999946393986597460f, 0.010162447789895645f, -0.999948360994165400f, 0.009970709907418029f, -0.999950291236490480f, 0.009778971658346134f, -0.999952184713501780f, 0.009587233049729183f, -0.999954041425129780f, 0.009395494088617302f, -0.999955861371306100f, 0.009203754782059960f, -0.999957644551963900f, 0.009012015137106642f, -0.999959390967037450f, 0.008820275160807512f, -0.999961100616462820f, 0.008628534860211857f, -0.999962773500176930f, 0.008436794242369860f, -0.999964409618118280f, 0.008245053314331058f, -0.999966008970226920f, 0.008053312083144991f, -0.999967571556443780f, 0.007861570555861883f, -0.999969097376711580f, 0.007669828739531077f, -0.999970586430974140f, 0.007478086641202815f, -0.999972038719176730f, 0.007286344267926684f, -0.999973454241265940f, 0.007094601626752279f, -0.999974832997189810f, 0.006902858724729877f, -0.999976174986897610f, 0.006711115568908869f, -0.999977480210339940f, 0.006519372166339549f, -0.999978748667468830f, 0.006327628524071549f, -0.999979980358237650f, 0.006135884649154515f, -0.999981175282601110f, 0.005944140548638765f, -0.999982333440515350f, 0.005752396229573737f, -0.999983454831937730f, 0.005560651699009764f, -0.999984539456826970f, 0.005368906963996303f, -0.999985587315143200f, 0.005177162031583702f, -0.999986598406848000f, 0.004985416908821652f, -0.999987572731904080f, 0.004793671602759852f, -0.999988510290275690f, 0.004601926120448672f, -0.999989411081928400f, 0.004410180468937601f, -0.999990275106828920f, 0.004218434655277024f, -0.999991102364945590f, 0.004026688686516664f, -0.999991892856248010f, 0.003834942569706248f, -0.999992646580707190f, 0.003643196311896179f, -0.999993363538295150f, 0.003451449920135975f, -0.999994043728985820f, 0.003259703401476044f, -0.999994687152754080f, 0.003067956762966138f, -0.999995293809576190f, 0.002876210011656010f, -0.999995863699429940f, 0.002684463154596083f, -0.999996396822294350f, 0.002492716198835898f, -0.999996893178149880f, 0.002300969151425887f, -0.999997352766978210f, 0.002109222019415816f, -0.999997775588762350f, 0.001917474809855460f, -0.999998161643486980f, 0.001725727529795258f, -0.999998510931137790f, 0.001533980186284766f, -0.999998823451701880f, 0.001342232786374430f, -0.999999099205167830f, 0.001150485337113809f, -0.999999338191525530f, 0.000958737845553352f, -0.999999540410766110f, 0.000766990318742846f, -0.999999705862882230f, 0.000575242763732077f, -0.999999834547867670f, 0.000383495187571497f, -0.999999926465717890f, 0.000191747597310674f, -0.999999981616429330f }; /** * \par * cosFactor tables are generated using the formula : <pre>cos_factors[n] = 2 * cos((2n+1)*pi/(4*N))</pre> * \par * C command to generate the table * \par * <pre> for(i = 0; i< N; i++) * { * cos_factors[i]= 2 * cos((2*i+1)*c/2); * } </pre> * \par * where <code>N</code> is the number of factors to generate and <code>c</code> is <code>pi/(2*N)</code> */ static const float32_t cos_factors_128[128] = { 0.999981175282601110f, 0.999830581795823400f, 0.999529417501093140f, 0.999077727752645360f, 0.998475580573294770f, 0.997723066644191640f, 0.996820299291165670f, 0.995767414467659820f, 0.994564570734255420f, 0.993211949234794500f, 0.991709753669099530f, 0.990058210262297120f, 0.988257567730749460f, 0.986308097244598670f, 0.984210092386929030f, 0.981963869109555240f, 0.979569765685440520f, 0.977028142657754390f, 0.974339382785575860f, 0.971503890986251780f, 0.968522094274417380f, 0.965394441697689400f, 0.962121404269041580f, 0.958703474895871600f, 0.955141168305770780f, 0.951435020969008340f, 0.947585591017741090f, 0.943593458161960390f, 0.939459223602189920f, 0.935183509938947610f, 0.930766961078983710f, 0.926210242138311380f, 0.921514039342042010f, 0.916679059921042700f, 0.911706032005429880f, 0.906595704514915330f, 0.901348847046022030f, 0.895966249756185220f, 0.890448723244757880f, 0.884797098430937790f, 0.879012226428633530f, 0.873094978418290090f, 0.867046245515692650f, 0.860866938637767310f, 0.854557988365400530f, 0.848120344803297230f, 0.841554977436898440f, 0.834862874986380010f, 0.828045045257755800f, 0.821102514991104650f, 0.814036329705948410f, 0.806847553543799330f, 0.799537269107905010f, 0.792106577300212390f, 0.784556597155575240f, 0.776888465673232440f, 0.769103337645579700f, 0.761202385484261780f, 0.753186799043612520f, 0.745057785441466060f, 0.736816568877369900f, 0.728464390448225200f, 0.720002507961381650f, 0.711432195745216430f, 0.702754744457225300f, 0.693971460889654000f, 0.685083667772700360f, 0.676092703575316030f, 0.666999922303637470f, 0.657806693297078640f, 0.648514401022112550f, 0.639124444863775730f, 0.629638238914927100f, 0.620057211763289210f, 0.610382806276309480f, 0.600616479383868970f, 0.590759701858874280f, 0.580813958095764530f, 0.570780745886967370f, 0.560661576197336030f, 0.550457972936604810f, 0.540171472729892970f, 0.529803624686294830f, 0.519355990165589530f, 0.508830142543106990f, 0.498227666972781870f, 0.487550160148436050f, 0.476799230063322250f, 0.465976495767966130f, 0.455083587126343840f, 0.444122144570429260f, 0.433093818853152010f, 0.422000270799799790f, 0.410843171057903910f, 0.399624199845646790f, 0.388345046698826300f, 0.377007410216418310f, 0.365612997804773960f, 0.354163525420490510f, 0.342660717311994380f, 0.331106305759876430f, 0.319502030816015750f, 0.307849640041534980f, 0.296150888243623960f, 0.284407537211271820f, 0.272621355449948980f, 0.260794117915275570f, 0.248927605745720260f, 0.237023605994367340f, 0.225083911359792780f, 0.213110319916091360f, 0.201104634842091960f, 0.189068664149806280f, 0.177004220412148860f, 0.164913120489970090f, 0.152797185258443410f, 0.140658239332849240f, 0.128498110793793220f, 0.116318630911904880f, 0.104121633872054730f, 0.091908956497132696f, 0.079682437971430126f, 0.067443919563664106f, 0.055195244349690031f, 0.042938256934940959f, 0.030674803176636581f, 0.018406729905804820f, 0.006135884649154515f }; static const float32_t cos_factors_512[512] = { 0.999998823451701880f, 0.999989411081928400f, 0.999970586430974140f, 0.999942349676023910f, 0.999904701082852900f, 0.999857641005823860f, 0.999801169887884260f, 0.999735288260561680f, 0.999659996743959220f, 0.999575296046749220f, 0.999481186966166950f, 0.999377670388002850f, 0.999264747286594420f, 0.999142418724816910f, 0.999010685854073380f, 0.998869549914283560f, 0.998719012233872940f, 0.998559074229759310f, 0.998389737407340160f, 0.998211003360478190f, 0.998022873771486240f, 0.997825350411111640f, 0.997618435138519550f, 0.997402129901275300f, 0.997176436735326190f, 0.996941357764982160f, 0.996696895202896060f, 0.996443051350042630f, 0.996179828595696980f, 0.995907229417411720f, 0.995625256380994310f, 0.995333912140482280f, 0.995033199438118630f, 0.994723121104325700f, 0.994403680057679100f, 0.994074879304879370f, 0.993736721940724600f, 0.993389211148080650f, 0.993032350197851410f, 0.992666142448948020f, 0.992290591348257370f, 0.991905700430609330f, 0.991511473318743900f, 0.991107913723276890f, 0.990695025442664630f, 0.990272812363169110f, 0.989841278458820530f, 0.989400427791380380f, 0.988950264510302990f, 0.988490792852696590f, 0.988022017143283530f, 0.987543941794359230f, 0.987056571305750970f, 0.986559910264775410f, 0.986053963346195440f, 0.985538735312176060f, 0.985014231012239840f, 0.984480455383220930f, 0.983937413449218920f, 0.983385110321551180f, 0.982823551198705240f, 0.982252741366289370f, 0.981672686196983110f, 0.981083391150486710f, 0.980484861773469380f, 0.979877103699517640f, 0.979260122649082020f, 0.978633924429423210f, 0.977998514934557140f, 0.977353900145199960f, 0.976700086128711840f, 0.976037079039039020f, 0.975364885116656980f, 0.974683510688510670f, 0.973992962167955830f, 0.973293246054698250f, 0.972584368934732210f, 0.971866337480279400f, 0.971139158449725090f, 0.970402838687555500f, 0.969657385124292450f, 0.968902804776428870f, 0.968139104746362440f, 0.967366292222328510f, 0.966584374478333120f, 0.965793358874083680f, 0.964993252854920320f, 0.964184063951745830f, 0.963365799780954050f, 0.962538468044359160f, 0.961702076529122540f, 0.960856633107679660f, 0.960002145737665960f, 0.959138622461841890f, 0.958266071408017670f, 0.957384500788975860f, 0.956493918902395100f, 0.955594334130771110f, 0.954685754941338340f, 0.953768189885990330f, 0.952841647601198720f, 0.951906136807932350f, 0.950961666311575080f, 0.950008245001843000f, 0.949045881852700560f, 0.948074585922276230f, 0.947094366352777220f, 0.946105232370403450f, 0.945107193285260610f, 0.944100258491272660f, 0.943084437466093490f, 0.942059739771017310f, 0.941026175050889260f, 0.939983753034014050f, 0.938932483532064600f, 0.937872376439989890f, 0.936803441735921560f, 0.935725689481080370f, 0.934639129819680780f, 0.933543772978836170f, 0.932439629268462360f, 0.931326709081180430f, 0.930205022892219070f, 0.929074581259315860f, 0.927935394822617890f, 0.926787474304581750f, 0.925630830509872720f, 0.924465474325262600f, 0.923291416719527640f, 0.922108668743345180f, 0.920917241529189520f, 0.919717146291227360f, 0.918508394325212250f, 0.917290997008377910f, 0.916064965799331720f, 0.914830312237946200f, 0.913587047945250810f, 0.912335184623322750f, 0.911074734055176360f, 0.909805708104652220f, 0.908528118716306120f, 0.907241977915295820f, 0.905947297807268460f, 0.904644090578246240f, 0.903332368494511820f, 0.902012143902493180f, 0.900683429228646970f, 0.899346236979341570f, 0.898000579740739880f, 0.896646470178680150f, 0.895283921038557580f, 0.893912945145203250f, 0.892533555402764580f, 0.891145764794583180f, 0.889749586383072780f, 0.888345033309596350f, 0.886932118794342190f, 0.885510856136199950f, 0.884081258712634990f, 0.882643339979562790f, 0.881197113471222090f, 0.879742592800047410f, 0.878279791656541580f, 0.876808723809145650f, 0.875329403104110890f, 0.873841843465366860f, 0.872346058894391540f, 0.870842063470078980f, 0.869329871348606840f, 0.867809496763303320f, 0.866280954024512990f, 0.864744257519462380f, 0.863199421712124160f, 0.861646461143081300f, 0.860085390429390140f, 0.858516224264442740f, 0.856938977417828760f, 0.855353664735196030f, 0.853760301138111410f, 0.852158901623919830f, 0.850549481265603480f, 0.848932055211639610f, 0.847306638685858320f, 0.845673246987299070f, 0.844031895490066410f, 0.842382599643185850f, 0.840725374970458070f, 0.839060237070312740f, 0.837387201615661940f, 0.835706284353752600f, 0.834017501106018130f, 0.832320867767929680f, 0.830616400308846310f, 0.828904114771864870f, 0.827184027273669130f, 0.825456154004377550f, 0.823720511227391430f, 0.821977115279241550f, 0.820225982569434690f, 0.818467129580298660f, 0.816700572866827850f, 0.814926329056526620f, 0.813144414849253590f, 0.811354847017063730f, 0.809557642404051260f, 0.807752817926190360f, 0.805940390571176280f, 0.804120377398265810f, 0.802292795538115720f, 0.800457662192622820f, 0.798614994634760820f, 0.796764810208418830f, 0.794907126328237010f, 0.793041960479443640f, 0.791169330217690200f, 0.789289253168885650f, 0.787401747029031430f, 0.785506829564053930f, 0.783604518609638200f, 0.781694832071059390f, 0.779777787923014550f, 0.777853404209453150f, 0.775921699043407690f, 0.773982690606822900f, 0.772036397150384520f, 0.770082836993347900f, 0.768122028523365420f, 0.766153990196312920f, 0.764178740536116670f, 0.762196298134578900f, 0.760206681651202420f, 0.758209909813015280f, 0.756206001414394540f, 0.754194975316889170f, 0.752176850449042810f, 0.750151645806215070f, 0.748119380450403600f, 0.746080073510063780f, 0.744033744179929290f, 0.741980411720831070f, 0.739920095459516200f, 0.737852814788465980f, 0.735778589165713590f, 0.733697438114660370f, 0.731609381223892630f, 0.729514438146997010f, 0.727412628602375770f, 0.725303972373060770f, 0.723188489306527460f, 0.721066199314508110f, 0.718937122372804490f, 0.716801278521099540f, 0.714658687862769090f, 0.712509370564692320f, 0.710353346857062420f, 0.708190637033195400f, 0.706021261449339740f, 0.703845240524484940f, 0.701662594740168570f, 0.699473344640283770f, 0.697277510830886630f, 0.695075113980000880f, 0.692866174817424740f, 0.690650714134534720f, 0.688428752784090550f, 0.686200311680038700f, 0.683965411797315510f, 0.681724074171649820f, 0.679476319899365080f, 0.677222170137180450f, 0.674961646102012040f, 0.672694769070772970f, 0.670421560380173090f, 0.668142041426518560f, 0.665856233665509720f, 0.663564158612039880f, 0.661265837839992270f, 0.658961292982037320f, 0.656650545729429050f, 0.654333617831800550f, 0.652010531096959500f, 0.649681307390683190f, 0.647345968636512060f, 0.645004536815544040f, 0.642657033966226860f, 0.640303482184151670f, 0.637943903621844170f, 0.635578320488556230f, 0.633206755050057190f, 0.630829229628424470f, 0.628445766601832710f, 0.626056388404343520f, 0.623661117525694640f, 0.621259976511087660f, 0.618852987960976320f, 0.616440174530853650f, 0.614021558931038490f, 0.611597163926462020f, 0.609167012336453210f, 0.606731127034524480f, 0.604289530948156070f, 0.601842247058580030f, 0.599389298400564540f, 0.596930708062196500f, 0.594466499184664540f, 0.591996694962040990f, 0.589521318641063940f, 0.587040393520918080f, 0.584553942953015330f, 0.582061990340775550f, 0.579564559139405740f, 0.577061672855679550f, 0.574553355047715760f, 0.572039629324757050f, 0.569520519346947250f, 0.566996048825108680f, 0.564466241520519500f, 0.561931121244689470f, 0.559390711859136140f, 0.556845037275160100f, 0.554294121453620110f, 0.551737988404707450f, 0.549176662187719770f, 0.546610166910834860f, 0.544038526730883930f, 0.541461765853123560f, 0.538879908531008420f, 0.536292979065963180f, 0.533701001807152960f, 0.531104001151255000f, 0.528502001542228480f, 0.525895027471084740f, 0.523283103475656430f, 0.520666254140367270f, 0.518044504095999340f, 0.515417878019463150f, 0.512786400633563070f, 0.510150096706766700f, 0.507508991052970870f, 0.504863108531267480f, 0.502212474045710900f, 0.499557112545081890f, 0.496897049022654640f, 0.494232308515959730f, 0.491562916106550060f, 0.488888896919763230f, 0.486210276124486530f, 0.483527078932918740f, 0.480839330600333900f, 0.478147056424843120f, 0.475450281747155870f, 0.472749031950342900f, 0.470043332459595620f, 0.467333208741988530f, 0.464618686306237820f, 0.461899790702462840f, 0.459176547521944150f, 0.456448982396883860f, 0.453717121000163930f, 0.450980989045103810f, 0.448240612285220000f, 0.445496016513981740f, 0.442747227564570130f, 0.439994271309633260f, 0.437237173661044200f, 0.434475960569655710f, 0.431710658025057370f, 0.428941292055329550f, 0.426167888726799620f, 0.423390474143796100f, 0.420609074448402510f, 0.417823715820212380f, 0.415034424476081630f, 0.412241226669883000f, 0.409444148692257590f, 0.406643216870369140f, 0.403838457567654130f, 0.401029897183575790f, 0.398217562153373620f, 0.395401478947816300f, 0.392581674072951530f, 0.389758174069856410f, 0.386931005514388690f, 0.384100195016935040f, 0.381265769222162490f, 0.378427754808765620f, 0.375586178489217330f, 0.372741067009515810f, 0.369892447148934270f, 0.367040345719767240f, 0.364184789567079840f, 0.361325805568454340f, 0.358463420633736540f, 0.355597661704783960f, 0.352728555755210730f, 0.349856129790135030f, 0.346980410845923680f, 0.344101425989938980f, 0.341219202320282410f, 0.338333766965541290f, 0.335445147084531660f, 0.332553369866044220f, 0.329658462528587550f, 0.326760452320131790f, 0.323859366517852960f, 0.320955232427875210f, 0.318048077385015060f, 0.315137928752522440f, 0.312224813921825050f, 0.309308760312268780f, 0.306389795370861080f, 0.303467946572011370f, 0.300543241417273400f, 0.297615707435086310f, 0.294685372180514330f, 0.291752263234989370f, 0.288816408206049480f, 0.285877834727080730f, 0.282936570457055390f, 0.279992643080273380f, 0.277046080306099950f, 0.274096909868706330f, 0.271145159526808070f, 0.268190857063403180f, 0.265234030285511900f, 0.262274707023913590f, 0.259312915132886350f, 0.256348682489942910f, 0.253382036995570270f, 0.250413006572965280f, 0.247441619167773440f, 0.244467902747824210f, 0.241491885302869300f, 0.238513594844318500f, 0.235533059404975460f, 0.232550307038775330f, 0.229565365820518870f, 0.226578263845610110f, 0.223589029229790020f, 0.220597690108873650f, 0.217604274638483670f, 0.214608810993786920f, 0.211611327369227610f, 0.208611851978263460f, 0.205610413053099320f, 0.202607038844421110f, 0.199601757621131050f, 0.196594597670080220f, 0.193585587295803750f, 0.190574754820252800f, 0.187562128582529740f, 0.184547736938619640f, 0.181531608261125130f, 0.178513770938997590f, 0.175494253377271400f, 0.172473083996796030f, 0.169450291233967930f, 0.166425903540464220f, 0.163399949382973230f, 0.160372457242928400f, 0.157343455616238280f, 0.154312973013020240f, 0.151281037957330250f, 0.148247678986896200f, 0.145212924652847520f, 0.142176803519448000f, 0.139139344163826280f, 0.136100575175706200f, 0.133060525157139180f, 0.130019222722233350f, 0.126976696496885980f, 0.123932975118512200f, 0.120888087235777220f, 0.117842061508325020f, 0.114794926606510250f, 0.111746711211126660f, 0.108697444013138670f, 0.105647153713410700f, 0.102595869022436280f, 0.099543618660069444f, 0.096490431355252607f, 0.093436335845747912f, 0.090381360877865011f, 0.087325535206192226f, 0.084268887593324127f, 0.081211446809592386f, 0.078153241632794315f, 0.075094300847921291f, 0.072034653246889416f, 0.068974327628266732f, 0.065913352797003930f, 0.062851757564161420f, 0.059789570746640007f, 0.056726821166907783f, 0.053663537652730679f, 0.050599749036899337f, 0.047535484156959261f, 0.044470771854938744f, 0.041405640977076712f, 0.038340120373552791f, 0.035274238898213947f, 0.032208025408304704f, 0.029141508764193740f, 0.026074717829104040f, 0.023007681468839410f, 0.019940428551514598f, 0.016872987947281773f, 0.013805388528060349f, 0.010737659167264572f, 0.007669828739531077f, 0.004601926120448672f, 0.001533980186284766f }; static const float32_t cos_factors_2048[2048] = { 0.999999926465717890f, 0.999999338191525530f, 0.999998161643486980f, 0.999996396822294350f, 0.999994043728985820f, 0.999991102364945590f, 0.999987572731904080f, 0.999983454831937730f, 0.999978748667468830f, 0.999973454241265940f, 0.999967571556443780f, 0.999961100616462820f, 0.999954041425129780f, 0.999946393986597460f, 0.999938158305364590f, 0.999929334386276070f, 0.999919922234522750f, 0.999909921855641540f, 0.999899333255515390f, 0.999888156440373320f, 0.999876391416790410f, 0.999864038191687680f, 0.999851096772332190f, 0.999837567166337090f, 0.999823449381661570f, 0.999808743426610520f, 0.999793449309835270f, 0.999777567040332940f, 0.999761096627446610f, 0.999744038080865430f, 0.999726391410624470f, 0.999708156627104880f, 0.999689333741033640f, 0.999669922763483760f, 0.999649923705874240f, 0.999629336579970110f, 0.999608161397882110f, 0.999586398172067070f, 0.999564046915327740f, 0.999541107640812940f, 0.999517580362016990f, 0.999493465092780590f, 0.999468761847290050f, 0.999443470640077770f, 0.999417591486021720f, 0.999391124400346050f, 0.999364069398620550f, 0.999336426496761240f, 0.999308195711029470f, 0.999279377058032710f, 0.999249970554724420f, 0.999219976218403530f, 0.999189394066714920f, 0.999158224117649430f, 0.999126466389543390f, 0.999094120901079070f, 0.999061187671284600f, 0.999027666719533690f, 0.998993558065545680f, 0.998958861729386080f, 0.998923577731465780f, 0.998887706092541290f, 0.998851246833715180f, 0.998814199976435390f, 0.998776565542495610f, 0.998738343554035230f, 0.998699534033539280f, 0.998660137003838490f, 0.998620152488108870f, 0.998579580509872500f, 0.998538421092996730f, 0.998496674261694640f, 0.998454340040524800f, 0.998411418454391300f, 0.998367909528543820f, 0.998323813288577560f, 0.998279129760433200f, 0.998233858970396850f, 0.998188000945100300f, 0.998141555711520520f, 0.998094523296980010f, 0.998046903729146840f, 0.997998697036034390f, 0.997949903246001190f, 0.997900522387751620f, 0.997850554490335110f, 0.997799999583146470f, 0.997748857695925690f, 0.997697128858758500f, 0.997644813102075420f, 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0.083122438703613077f, 0.082358078226646619f, 0.081593669300544638f, 0.080829212374989468f, 0.080064707899690932f, 0.079300156324387569f, 0.078535558098845590f, 0.077770913672857989f, 0.077006223496245585f, 0.076241488018856149f, 0.075476707690563416f, 0.074711882961268378f, 0.073947014280897269f, 0.073182102099402888f, 0.072417146866763538f, 0.071652149032982254f, 0.070887109048087787f, 0.070122027362133646f, 0.069356904425197236f, 0.068591740687380900f, 0.067826536598810966f, 0.067061292609636836f, 0.066296009170032283f, 0.065530686730193397f, 0.064765325740339871f, 0.063999926650714078f, 0.063234489911580136f, 0.062469015973224969f, 0.061703505285957416f, 0.060937958300107238f, 0.060172375466026218f, 0.059406757234087247f, 0.058641104054683348f, 0.057875416378229017f, 0.057109694655158132f, 0.056343939335925283f, 0.055578150871004817f, 0.054812329710889909f, 0.054046476306093640f, 0.053280591107148056f, 0.052514674564603257f, 0.051748727129028414f, 0.050982749251010900f, 0.050216741381155325f, 0.049450703970084824f, 0.048684637468439020f, 0.047918542326875327f, 0.047152418996068000f, 0.046386267926707213f, 0.045620089569500123f, 0.044853884375169933f, 0.044087652794454979f, 0.043321395278109784f, 0.042555112276904117f, 0.041788804241622082f, 0.041022471623063397f, 0.040256114872041358f, 0.039489734439384118f, 0.038723330775933762f, 0.037956904332545366f, 0.037190455560088091f, 0.036423984909444228f, 0.035657492831508264f, 0.034890979777187955f, 0.034124446197403423f, 0.033357892543086159f, 0.032591319265180385f, 0.031824726814640963f, 0.031058115642434700f, 0.030291486199539423f, 0.029524838936943035f, 0.028758174305644590f, 0.027991492756653365f, 0.027224794740987910f, 0.026458080709677145f, 0.025691351113759395f, 0.024924606404281485f, 0.024157847032300020f, 0.023391073448879338f, 0.022624286105092803f, 0.021857485452021874f, 0.021090671940755180f, 0.020323846022389572f, 0.019557008148029204f, 0.018790158768784596f, 0.018023298335773701f, 0.017256427300120978f, 0.016489546112956454f, 0.015722655225417017f, 0.014955755088644378f, 0.014188846153786343f, 0.013421928871995907f, 0.012655003694430301f, 0.011888071072252072f, 0.011121131456628141f, 0.010354185298728884f, 0.009587233049729183f, 0.008820275160807512f, 0.008053312083144991f, 0.007286344267926684f, 0.006519372166339549f, 0.005752396229573737f, 0.004985416908821652f, 0.004218434655277024f, 0.003451449920135975f, 0.002684463154596083f, 0.001917474809855460f, 0.001150485337113809f, 0.000383495187571497f }; static const float32_t cos_factors_8192[8192] = { 1.999999990808214700f, 1.999999917273932200f, 1.999999770205369800f, 1.999999549602533100f, 1.999999255465430200f, 1.999998887794072000f, 1.999998446588471700f, 1.999997931848645600f, 1.999997343574612800f, 1.999996681766395000f, 1.999995946424016200f, 1.999995137547503600f, 1.999994255136887000f, 1.999993299192198700f, 1.999992269713474200f, 1.999991166700750800f, 1.999989990154069600f, 1.999988740073473500f, 1.999987416459008600f, 1.999986019310723500f, 1.999984548628669600f, 1.999983004412901000f, 1.999981386663474400f, 1.999979695380449400f, 1.999977930563888100f, 1.999976092213855400f, 1.999974180330418700f, 1.999972194913648900f, 1.999970135963618400f, 1.999968003480403000f, 1.999965797464081200f, 1.999963517914734100f, 1.999961164832445800f, 1.999958738217302300f, 1.999956238069392900f, 1.999953664388809800f, 1.999951017175647600f, 1.999948296430003500f, 1.999945502151977600f, 1.999942634341672600f, 1.999939692999193900f, 1.999936678124649700f, 1.999933589718150700f, 1.999930427779810900f, 1.999927192309745900f, 1.999923883308075200f, 1.999920500774920300f, 1.999917044710405500f, 1.999913515114657900f, 1.999909911987807200f, 1.999906235329986100f, 1.999902485141329400f, 1.999898661421975400f, 1.999894764172064600f, 1.999890793391740000f, 1.999886749081147800f, 1.999882631240436700f, 1.999878439869758200f, 1.999874174969266300f, 1.999869836539117700f, 1.999865424579472000f, 1.999860939090491600f, 1.999856380072341000f, 1.999851747525188200f, 1.999847041449203300f, 1.999842261844559700f, 1.999837408711432600f, 1.999832482050000900f, 1.999827481860445300f, 1.999822408142949900f, 1.999817260897701400f, 1.999812040124888700f, 1.999806745824704000f, 1.999801377997341800f, 1.999795936642999600f, 1.999790421761877400f, 1.999784833354177900f, 1.999779171420106700f, 1.999773435959872000f, 1.999767626973684400f, 1.999761744461757700f, 1.999755788424308200f, 1.999749758861554900f, 1.999743655773719400f, 1.999737479161026100f, 1.999731229023702200f, 1.999724905361977200f, 1.999718508176084000f, 1.999712037466257600f, 1.999705493232735800f, 1.999698875475759600f, 1.999692184195571900f, 1.999685419392419000f, 1.999678581066549400f, 1.999671669218214600f, 1.999664683847668800f, 1.999657624955168700f, 1.999650492540973900f, 1.999643286605346800f, 1.999636007148552400f, 1.999628654170857900f, 1.999621227672533800f, 1.999613727653853500f, 1.999606154115092500f, 1.999598507056529000f, 1.999590786478444600f, 1.999582992381123000f, 1.999575124764850800f, 1.999567183629917100f, 1.999559168976613900f, 1.999551080805236100f, 1.999542919116081000f, 1.999534683909448600f, 1.999526375185641800f, 1.999517992944965800f, 1.999509537187729200f, 1.999501007914242600f, 1.999492405124819700f, 1.999483728819776900f, 1.999474978999432800f, 1.999466155664109600f, 1.999457258814131500f, 1.999448288449825500f, 1.999439244571521700f, 1.999430127179552500f, 1.999420936274252800f, 1.999411671855960900f, 1.999402333925017300f, 1.999392922481765500f, 1.999383437526551300f, 1.999373879059723500f, 1.999364247081633500f, 1.999354541592635500f, 1.999344762593086500f, 1.999334910083345700f, 1.999324984063775700f, 1.999314984534741100f, 1.999304911496609700f, 1.999294764949752100f, 1.999284544894541100f, 1.999274251331352400f, 1.999263884260564600f, 1.999253443682558900f, 1.999242929597719200f, 1.999232342006432000f, 1.999221680909086400f, 1.999210946306074500f, 1.999200138197791100f, 1.999189256584633600f, 1.999178301467001900f, 1.999167272845298900f, 1.999156170719930100f, 1.999144995091303600f, 1.999133745959830600f, 1.999122423325924200f, 1.999111027190001000f, 1.999099557552479900f, 1.999088014413782800f, 1.999076397774334000f, 1.999064707634560700f, 1.999052943994892300f, 1.999041106855761900f, 1.999029196217604100f, 1.999017212080857400f, 1.999005154445962200f, 1.998993023313361700f, 1.998980818683502100f, 1.998968540556831800f, 1.998956188933802800f, 1.998943763814868800f, 1.998931265200486900f, 1.998918693091116200f, 1.998906047487219600f, 1.998893328389261400f, 1.998880535797709700f, 1.998867669713034500f, 1.998854730135709400f, 1.998841717066209400f, 1.998828630505013400f, 1.998815470452602400f, 1.998802236909460500f, 1.998788929876074100f, 1.998775549352932400f, 1.998762095340527400f, 1.998748567839354000f, 1.998734966849909000f, 1.998721292372693100f, 1.998707544408208700f, 1.998693722956961500f, 1.998679828019459300f, 1.998665859596213500f, 1.998651817687737300f, 1.998637702294547000f, 1.998623513417161700f, 1.998609251056103100f, 1.998594915211895600f, 1.998580505885066100f, 1.998566023076144600f, 1.998551466785663400f, 1.998536837014157900f, 1.998522133762165900f, 1.998507357030227900f, 1.998492506818887200f, 1.998477583128690100f, 1.998462585960185000f, 1.998447515313923400f, 1.998432371190459500f, 1.998417153590349900f, 1.998401862514154200f, 1.998386497962434800f, 1.998371059935756300f, 1.998355548434686400f, 1.998339963459795400f, 1.998324305011656600f, 1.998308573090845200f, 1.998292767697940100f, 1.998276888833522300f, 1.998260936498175400f, 1.998244910692486000f, 1.998228811417043700f, 1.998212638672439900f, 1.998196392459269400f, 1.998180072778129600f, 1.998163679629620500f, 1.998147213014344900f, 1.998130672932908000f, 1.998114059385918400f, 1.998097372373986300f, 1.998080611897725700f, 1.998063777957752600f, 1.998046870554686100f, 1.998029889689147700f, 1.998012835361761900f, 1.997995707573155600f, 1.997978506323958600f, 1.997961231614803200f, 1.997943883446324800f, 1.997926461819161000f, 1.997908966733952500f, 1.997891398191342400f, 1.997873756191977000f, 1.997856040736504500f, 1.997838251825576400f, 1.997820389459846700f, 1.997802453639972300f, 1.997784444366612600f, 1.997766361640429800f, 1.997748205462088500f, 1.997729975832256600f, 1.997711672751604200f, 1.997693296220804000f, 1.997674846240532000f, 1.997656322811466500f, 1.997637725934288300f, 1.997619055609681600f, 1.997600311838332500f, 1.997581494620930300f, 1.997562603958166600f, 1.997543639850736200f, 1.997524602299336500f, 1.997505491304667000f, 1.997486306867430900f, 1.997467048988333000f, 1.997447717668082000f, 1.997428312907388200f, 1.997408834706965000f, 1.997389283067528800f, 1.997369657989798400f, 1.997349959474495200f, 1.997330187522343700f, 1.997310342134070800f, 1.997290423310406100f, 1.997270431052081900f, 1.997250365359833200f, 1.997230226234397900f, 1.997210013676516700f, 1.997189727686932400f, 1.997169368266390900f, 1.997148935415640600f, 1.997128429135433400f, 1.997107849426522600f, 1.997087196289665000f, 1.997066469725620200f, 1.997045669735150000f, 1.997024796319019300f, 1.997003849477995600f, 1.996982829212848900f, 1.996961735524351900f, 1.996940568413280600f, 1.996919327880412900f, 1.996898013926530000f, 1.996876626552415400f, 1.996855165758855600f, 1.996833631546639300f, 1.996812023916558800f, 1.996790342869408000f, 1.996768588405984300f, 1.996746760527087700f, 1.996724859233520500f, 1.996702884526087900f, 1.996680836405598100f, 1.996658714872861800f, 1.996636519928692000f, 1.996614251573904900f, 1.996591909809319400f, 1.996569494635756600f, 1.996547006054041100f, 1.996524444064999400f, 1.996501808669461000f, 1.996479099868258400f, 1.996456317662226300f, 1.996433462052202600f, 1.996410533039027400f, 1.996387530623543900f, 1.996364454806597500f, 1.996341305589037100f, 1.996318082971713500f, 1.996294786955480800f, 1.996271417541195300f, 1.996247974729716200f, 1.996224458521905600f, 1.996200868918628100f, 1.996177205920750800f, 1.996153469529144100f, 1.996129659744680300f, 1.996105776568235100f, 1.996081820000686500f, 1.996057790042915500f, 1.996033686695805300f, 1.996009509960242400f, 1.995985259837115500f, 1.995960936327316300f, 1.995936539431739000f, 1.995912069151280800f, 1.995887525486841300f, 1.995862908439323100f, 1.995838218009630800f, 1.995813454198672700f, 1.995788617007359100f, 1.995763706436603200f, 1.995738722487320600f, 1.995713665160430600f, 1.995688534456853800f, 1.995663330377514400f, 1.995638052923339300f, 1.995612702095257400f, 1.995587277894201400f, 1.995561780321105600f, 1.995536209376907600f, 1.995510565062547800f, 1.995484847378968600f, 1.995459056327116000f, 1.995433191907938000f, 1.995407254122385700f, 1.995381242971412600f, 1.995355158455975200f, 1.995329000577032800f, 1.995302769335546500f, 1.995276464732481200f, 1.995250086768804100f, 1.995223635445484900f, 1.995197110763496000f, 1.995170512723813100f, 1.995143841327413400f, 1.995117096575278200f, 1.995090278468390600f, 1.995063387007736600f, 1.995036422194304700f, 1.995009384029086800f, 1.994982272513076600f, 1.994955087647271000f, 1.994927829432669800f, 1.994900497870274900f, 1.994873092961091200f, 1.994845614706126400f, 1.994818063106391000f, 1.994790438162897600f, 1.994762739876662100f, 1.994734968248702800f, 1.994707123280041100f, 1.994679204971700100f, 1.994651213324707000f, 1.994623148340090700f, 1.994595010018883000f, 1.994566798362118300f, 1.994538513370834200f, 1.994510155046070700f, 1.994481723388870100f, 1.994453218400277900f, 1.994424640081342100f, 1.994395988433113700f, 1.994367263456646100f, 1.994338465152995000f, 1.994309593523219600f, 1.994280648568381500f, 1.994251630289544600f, 1.994222538687776100f, 1.994193373764145500f, 1.994164135519725000f, 1.994134823955589800f, 1.994105439072817700f, 1.994075980872488800f, 1.994046449355686200f, 1.994016844523496000f, 1.993987166377006600f, 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0.001342233088643682f, 0.000958737955710053f, 0.000575242787525925f, 0.000191747598192208f }; /** * @} end of DCT4_IDCT4_Table group */ /** * @addtogroup DCT4_IDCT4 * @{ */ /** * @brief Initialization function for the floating-point DCT4/IDCT4. * @param[in,out] *S points to an instance of floating-point DCT4/IDCT4 structure. * @param[in] *S_RFFT points to an instance of floating-point RFFT/RIFFT structure. * @param[in] *S_CFFT points to an instance of floating-point CFFT/CIFFT structure. * @param[in] N length of the DCT4. * @param[in] Nby2 half of the length of the DCT4. * @param[in] normalize normalizing factor. * @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. * \par Normalizing factor: * The normalizing factor is <code>sqrt(2/N)</code>, which depends on the size of transform <code>N</code>. * Floating-point normalizing factors are mentioned in the table below for different DCT sizes: * \image html dct4NormalizingF32Table.gif */ arm_status arm_dct4_init_f32( arm_dct4_instance_f32 * S, arm_rfft_instance_f32 * S_RFFT, arm_cfft_radix4_instance_f32 * S_CFFT, uint16_t N, uint16_t Nby2, float32_t normalize) { /* Initialize the default arm status */ arm_status status = ARM_MATH_SUCCESS; /* Initializing the pointer array with the weight table base addresses of different lengths */ float32_t *twiddlePtr[4] = { (float32_t *) Weights_128, (float32_t *) Weights_512, (float32_t *) Weights_2048, (float32_t *) Weights_8192 }; /* Initializing the pointer array with the cos factor table base addresses of different lengths */ float32_t *pCosFactor[4] = { (float32_t *) cos_factors_128, (float32_t *) cos_factors_512, (float32_t *) cos_factors_2048, (float32_t *) cos_factors_8192 }; /* Initialize the DCT4 length */ S->N = N; /* Initialize the half of DCT4 length */ S->Nby2 = Nby2; /* Initialize the DCT4 Normalizing factor */ S->normalize = normalize; /* Initialize Real FFT Instance */ S->pRfft = S_RFFT; /* Initialize Complex FFT Instance */ S->pCfft = S_CFFT; switch (N) { /* Initialize the table modifier values */ case 8192U: S->pTwiddle = twiddlePtr[3]; S->pCosFactor = pCosFactor[3]; break; case 2048U: S->pTwiddle = twiddlePtr[2]; S->pCosFactor = pCosFactor[2]; break; case 512U: S->pTwiddle = twiddlePtr[1]; S->pCosFactor = pCosFactor[1]; break; case 128U: S->pTwiddle = twiddlePtr[0]; S->pCosFactor = pCosFactor[0]; break; default: status = ARM_MATH_ARGUMENT_ERROR; } /* Initialize the RFFT/RIFFT */ arm_rfft_init_f32(S->pRfft, S->pCfft, S->N, 0U, 1U); /* return the status of DCT4 Init function */ return (status); } /** * @} end of DCT4_IDCT4 group */