From 487de131311953460b0a5c3d96137a3c5dc8361b Mon Sep 17 00:00:00 2001 From: Holger Nahrstaedt Date: Thu, 18 Feb 2016 15:24:00 +0100 Subject: [PATCH 1/5] fix warning C4200: nonstandard extension used : zero-sized array in struct/union --- header/wavelib.h | 8 ++++---- src/wavelib.c | 25 ++++++++++++++++++------- src/wavelib.h | 8 ++++---- 3 files changed, 26 insertions(+), 15 deletions(-) diff --git a/header/wavelib.h b/header/wavelib.h index 1e80b30..a6a8645 100644 --- a/header/wavelib.h +++ b/header/wavelib.h @@ -24,7 +24,7 @@ struct wave_set{ double *hpd; double *lpr; double *hpr; - double params[0]; + double *params; }; typedef struct fft_t { @@ -88,7 +88,7 @@ struct wt_set{ int zpad; int length[102]; double *output; - double params[0]; + double *params; }; typedef struct wtree_set* wtree_object; @@ -115,7 +115,7 @@ struct wtree_set{ double *output; int *nodelength; int *coeflength; - double params[0]; + double *params; }; typedef struct wpt_set* wpt_object; @@ -144,7 +144,7 @@ struct wpt_set{ int *nodeindex; int *numnodeslevel; int *coeflength; - double params[0]; + double *params; }; diff --git a/src/wavelib.c b/src/wavelib.c index dc4f358..77c48f7 100644 --- a/src/wavelib.c +++ b/src/wavelib.c @@ -15,7 +15,8 @@ wave_object wave_init(char* wname) { //strcopy(obj->wname, wname); } - obj = (wave_object)malloc(sizeof(struct wave_set) + sizeof(double)* 4 * retval); + obj = (wave_object)malloc(sizeof(struct wave_set)); + obj->params = (double*)malloc(sizeof(double) * 4 * retval); obj->filtlength = retval; obj->lpd_len = obj->hpd_len = obj->lpr_len = obj->hpr_len = obj->filtlength; @@ -49,12 +50,14 @@ wt_object wt_init(wave_object wave,char* method, int siglength,int J) { } if (method == NULL) { - obj = (wt_object)malloc(sizeof(struct wt_set) + sizeof(double)* (siglength + 2 * J * (size+1))); + obj = (wt_object)malloc(sizeof(struct wt_set)); + obj->params = (double*)malloc(sizeof(double)* (siglength + 2 * J * (size + 1))); obj->outlength = siglength + 2 * J * (size + 1); // Default strcpy(obj->ext, "sym"); // Default } else if (!strcmp(method, "dwt") || !strcmp(method, "DWT")) { - obj = (wt_object)malloc(sizeof(struct wt_set) + sizeof(double)* (siglength + 2 * J * (size + 1))); + obj = (wt_object)malloc(sizeof(struct wt_set)); + obj->params = (double*)malloc(sizeof(double)* (siglength + 2 * J * (size + 1))); obj->outlength = siglength + 2 * J * (size + 1); // Default strcpy(obj->ext, "sym"); // Default } @@ -64,7 +67,8 @@ wt_object wt_init(wave_object wave,char* method, int siglength,int J) { exit(-1); } - obj = (wt_object)malloc(sizeof(struct wt_set) + sizeof(double)* (siglength * (J + 1))); + obj = (wt_object)malloc(sizeof(struct wt_set)); + obj->params = (double*)malloc(sizeof(double)* (siglength * (J + 1))); obj->outlength = siglength * (J + 1); // Default strcpy(obj->ext, "per"); // Default } @@ -79,7 +83,8 @@ wt_object wt_init(wave_object wave,char* method, int siglength,int J) { } } - obj = (wt_object)malloc(sizeof(struct wt_set) + sizeof(double)* (siglength * (J + 1))); + obj = (wt_object)malloc(sizeof(struct wt_set)); + obj->params = (double*)malloc(sizeof(double)* (siglength * (J + 1))); obj->outlength = siglength * (J + 1); // Default strcpy(obj->ext, "per"); // Default } @@ -145,7 +150,8 @@ wtree_object wtree_init(wave_object wave, int siglength,int J) { elength += temp2; } - obj = (wtree_object)malloc(sizeof(struct wtree_set) + sizeof(double)* (siglength * (J + 1) + elength + nodes + J + 1)); + obj = (wtree_object)malloc(sizeof(struct wtree_set)); + obj->params = (double*)malloc(sizeof(double)* (siglength * (J + 1) + elength + nodes + J + 1)); obj->outlength = siglength * (J + 1) + elength; strcpy(obj->ext, "sym"); @@ -218,7 +224,8 @@ wpt_object wpt_init(wave_object wave, int siglength, int J) { } //printf("elength %d", elength); - obj = (wpt_object)malloc(sizeof(struct wpt_set) + sizeof(double)* (elength + 4 * nodes + 2 * J + 6)); + obj = (wpt_object)malloc(sizeof(struct wpt_set)); + obj->params = (double*)malloc(sizeof(double)* (elength + 4 * nodes + 2 * J + 6)); obj->outlength = siglength + 2 * (J + 1) * (size + 1); strcpy(obj->ext, "sym"); strcpy(obj->entropy, "shannon"); @@ -2530,17 +2537,21 @@ void wpt_summary(wpt_object wt) { } void wave_free(wave_object object) { + free(object->params); free(object); } void wt_free(wt_object object) { + free(object->params); free(object); } void wtree_free(wtree_object object) { + free(object->params); free(object); } void wpt_free(wpt_object object) { + free(object->params); free(object); } diff --git a/src/wavelib.h b/src/wavelib.h index 6507d86..f160d57 100644 --- a/src/wavelib.h +++ b/src/wavelib.h @@ -22,7 +22,7 @@ struct wave_set{ double *hpd; double *lpr; double *hpr; - double params[0]; + double *params; }; typedef struct wt_set* wt_object; @@ -47,7 +47,7 @@ struct wt_set{ int zpad; int length[102]; double *output; - double params[0]; + double *params; }; typedef struct wtree_set* wtree_object; @@ -74,7 +74,7 @@ struct wtree_set{ double *output; int *nodelength; int *coeflength; - double params[0]; + double *params; }; typedef struct wpt_set* wpt_object; @@ -103,7 +103,7 @@ struct wpt_set{ int *nodeindex; int *numnodeslevel; int *coeflength; - double params[0]; + double *params; }; From 4ce49a05e9a2a48336a6b26759c43ff67433653c Mon Sep 17 00:00:00 2001 From: Holger Nahrstaedt Date: Thu, 25 Feb 2016 14:41:45 +0100 Subject: [PATCH 2/5] db coefficients added up to 38 db coefficients accuracy improved refactoring of wavefilt --- COPYRIGHT | 1 + src/wavefilt.c | 3032 +++++++++++++-------- src/wavefilt.h | 13 +- src/wavelib.h | 3 + src/wtmath.c | 3 + src/wtmath.h | 3 + unitTests/wavelibBoostTests/BoostTest.cpp | 5 + unitTests/wavelibBoostTests/BoostTest.h | 10 + unitTests/wavelibBoostTests/tst_dwt.cpp | 195 ++ 9 files changed, 2148 insertions(+), 1117 deletions(-) create mode 100644 unitTests/wavelibBoostTests/BoostTest.cpp create mode 100644 unitTests/wavelibBoostTests/BoostTest.h create mode 100644 unitTests/wavelibBoostTests/tst_dwt.cpp diff --git a/COPYRIGHT b/COPYRIGHT index 19c19fb..ba9dcfa 100644 --- a/COPYRIGHT +++ b/COPYRIGHT @@ -1,4 +1,5 @@ Copyright (c) 2014, Rafat Hussain +Copyright (c) 2016, Holger Nahrstaedt All rights reserved. Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met: diff --git a/src/wavefilt.c b/src/wavefilt.c index 0aaa7bf..41d46ec 100644 --- a/src/wavefilt.c +++ b/src/wavefilt.c @@ -1,55 +1,1621 @@ +/* +* Copyright (c) 2014, Rafat Hussain +* Copyright (C) 2016 Holger Nahrstaedt +* Daubechies wavelets coefficents Computed by Kazuo Hatano, Aichi Institute of Technology. http://phase.hpcc.jp/phase/wavelet/ +*/ #include "wavefilt.h" -int filtlength(char* name) { + +static const double db1[2] = { + 7.071067811865475244008443621048490392848359376884740365883398e-01, + 7.071067811865475244008443621048490392848359376884740365883398e-01 +}; + +static const double db2[4] = { + 4.829629131445341433748715998644486838169524195042022752011715e-01, + 8.365163037378079055752937809168732034593703883484392934953414e-01, + 2.241438680420133810259727622404003554678835181842717613871683e-01, + -1.294095225512603811744494188120241641745344506599652569070016e-01 +}; + + +static const double db3[6] = { + 3.326705529500826159985115891390056300129233992450683597084705e-01, + 8.068915093110925764944936040887134905192973949948236181650920e-01, + 4.598775021184915700951519421476167208081101774314923066433867e-01, + -1.350110200102545886963899066993744805622198452237811919756862e-01, + -8.544127388202666169281916918177331153619763898808662976351748e-02, + 3.522629188570953660274066471551002932775838791743161039893406e-02 +}; + + +static const double db4[8] = { + 2.303778133088965008632911830440708500016152482483092977910968e-01, + 7.148465705529156470899219552739926037076084010993081758450110e-01, + 6.308807679298589078817163383006152202032229226771951174057473e-01, + -2.798376941685985421141374718007538541198732022449175284003358e-02, + -1.870348117190930840795706727890814195845441743745800912057770e-01, + 3.084138183556076362721936253495905017031482172003403341821219e-02, + 3.288301166688519973540751354924438866454194113754971259727278e-02, + -1.059740178506903210488320852402722918109996490637641983484974e-02 +}; + + +static const double db5[10] = { + 1.601023979741929144807237480204207336505441246250578327725699e-01, + 6.038292697971896705401193065250621075074221631016986987969283e-01, + 7.243085284377729277280712441022186407687562182320073725767335e-01, + 1.384281459013207315053971463390246973141057911739561022694652e-01, + -2.422948870663820318625713794746163619914908080626185983913726e-01, + -3.224486958463837464847975506213492831356498416379847225434268e-02, + 7.757149384004571352313048938860181980623099452012527983210146e-02, + -6.241490212798274274190519112920192970763557165687607323417435e-03, + -1.258075199908199946850973993177579294920459162609785020169232e-02, + 3.335725285473771277998183415817355747636524742305315099706428e-03 +}; + + +static const double db6[12] = { + 1.115407433501094636213239172409234390425395919844216759082360e-01, + 4.946238903984530856772041768778555886377863828962743623531834e-01, + 7.511339080210953506789344984397316855802547833382612009730420e-01, + 3.152503517091976290859896548109263966495199235172945244404163e-01, + -2.262646939654398200763145006609034656705401539728969940143487e-01, + -1.297668675672619355622896058765854608452337492235814701599310e-01, + 9.750160558732304910234355253812534233983074749525514279893193e-02, + 2.752286553030572862554083950419321365738758783043454321494202e-02, + -3.158203931748602956507908069984866905747953237314842337511464e-02, + 5.538422011614961392519183980465012206110262773864964295476524e-04, + 4.777257510945510639635975246820707050230501216581434297593254e-03, + -1.077301085308479564852621609587200035235233609334419689818580e-03 +}; + + +static const double db7[14] = { + 7.785205408500917901996352195789374837918305292795568438702937e-02, + 3.965393194819173065390003909368428563587151149333287401110499e-01, + 7.291320908462351199169430703392820517179660611901363782697715e-01, + 4.697822874051931224715911609744517386817913056787359532392529e-01, + -1.439060039285649754050683622130460017952735705499084834401753e-01, + -2.240361849938749826381404202332509644757830896773246552665095e-01, + 7.130921926683026475087657050112904822711327451412314659575113e-02, + 8.061260915108307191292248035938190585823820965629489058139218e-02, + -3.802993693501441357959206160185803585446196938467869898283122e-02, + -1.657454163066688065410767489170265479204504394820713705239272e-02, + 1.255099855609984061298988603418777957289474046048710038411818e-02, + 4.295779729213665211321291228197322228235350396942409742946366e-04, + -1.801640704047490915268262912739550962585651469641090625323864e-03, + 3.537137999745202484462958363064254310959060059520040012524275e-04 +}; + +static const double db8[16] = { + 5.441584224310400995500940520299935503599554294733050397729280e-02, + 3.128715909142999706591623755057177219497319740370229185698712e-01, + 6.756307362972898068078007670471831499869115906336364227766759e-01, + 5.853546836542067127712655200450981944303266678053369055707175e-01, + -1.582910525634930566738054787646630415774471154502826559735335e-02, + -2.840155429615469265162031323741647324684350124871451793599204e-01, + 4.724845739132827703605900098258949861948011288770074644084096e-04, + 1.287474266204784588570292875097083843022601575556488795577000e-01, + -1.736930100180754616961614886809598311413086529488394316977315e-02, + -4.408825393079475150676372323896350189751839190110996472750391e-02, + 1.398102791739828164872293057263345144239559532934347169146368e-02, + 8.746094047405776716382743246475640180402147081140676742686747e-03, + -4.870352993451574310422181557109824016634978512157003764736208e-03, + -3.917403733769470462980803573237762675229350073890493724492694e-04, + 6.754494064505693663695475738792991218489630013558432103617077e-04, + -1.174767841247695337306282316988909444086693950311503927620013e-04 +}; + + +static const double db9[18] = { + 3.807794736387834658869765887955118448771714496278417476647192e-02, + 2.438346746125903537320415816492844155263611085609231361429088e-01, + 6.048231236901111119030768674342361708959562711896117565333713e-01, + 6.572880780513005380782126390451732140305858669245918854436034e-01, + 1.331973858250075761909549458997955536921780768433661136154346e-01, + -2.932737832791749088064031952421987310438961628589906825725112e-01, + -9.684078322297646051350813353769660224825458104599099679471267e-02, + 1.485407493381063801350727175060423024791258577280603060771649e-01, + 3.072568147933337921231740072037882714105805024670744781503060e-02, + -6.763282906132997367564227482971901592578790871353739900748331e-02, + 2.509471148314519575871897499885543315176271993709633321834164e-04, + 2.236166212367909720537378270269095241855646688308853754721816e-02, + -4.723204757751397277925707848242465405729514912627938018758526e-03, + -4.281503682463429834496795002314531876481181811463288374860455e-03, + 1.847646883056226476619129491125677051121081359600318160732515e-03, + 2.303857635231959672052163928245421692940662052463711972260006e-04, + -2.519631889427101369749886842878606607282181543478028214134265e-04, + 3.934732031627159948068988306589150707782477055517013507359938e-05 +}; + + +static const double db10[20] = { + 2.667005790055555358661744877130858277192498290851289932779975e-02, + 1.881768000776914890208929736790939942702546758640393484348595e-01, + 5.272011889317255864817448279595081924981402680840223445318549e-01, + 6.884590394536035657418717825492358539771364042407339537279681e-01, + 2.811723436605774607487269984455892876243888859026150413831543e-01, + -2.498464243273153794161018979207791000564669737132073715013121e-01, + -1.959462743773770435042992543190981318766776476382778474396781e-01, + 1.273693403357932600826772332014009770786177480422245995563097e-01, + 9.305736460357235116035228983545273226942917998946925868063974e-02, + -7.139414716639708714533609307605064767292611983702150917523756e-02, + -2.945753682187581285828323760141839199388200516064948779769654e-02, + 3.321267405934100173976365318215912897978337413267096043323351e-02, + 3.606553566956169655423291417133403299517350518618994762730612e-03, + -1.073317548333057504431811410651364448111548781143923213370333e-02, + 1.395351747052901165789318447957707567660542855688552426721117e-03, + 1.992405295185056117158742242640643211762555365514105280067936e-03, + -6.858566949597116265613709819265714196625043336786920516211903e-04, + -1.164668551292854509514809710258991891527461854347597362819235e-04, + 9.358867032006959133405013034222854399688456215297276443521873e-05, + -1.326420289452124481243667531226683305749240960605829756400674e-05 +}; + +static const double db11[22] = { + 1.869429776147108402543572939561975728967774455921958543286692e-02, + 1.440670211506245127951915849361001143023718967556239604318852e-01, + 4.498997643560453347688940373853603677806895378648933474599655e-01, + 6.856867749162005111209386316963097935940204964567703495051589e-01, + 4.119643689479074629259396485710667307430400410187845315697242e-01, + -1.622752450274903622405827269985511540744264324212130209649667e-01, + -2.742308468179469612021009452835266628648089521775178221905778e-01, + 6.604358819668319190061457888126302656753142168940791541113457e-02, + 1.498120124663784964066562617044193298588272420267484653796909e-01, + -4.647995511668418727161722589023744577223260966848260747450320e-02, + -6.643878569502520527899215536971203191819566896079739622858574e-02, + 3.133509021904607603094798408303144536358105680880031964936445e-02, + 2.084090436018106302294811255656491015157761832734715691126692e-02, + -1.536482090620159942619811609958822744014326495773000120205848e-02, + -3.340858873014445606090808617982406101930658359499190845656731e-03, + 4.928417656059041123170739741708273690285547729915802418397458e-03, + -3.085928588151431651754590726278953307180216605078488581921562e-04, + -8.930232506662646133900824622648653989879519878620728793133358e-04, + 2.491525235528234988712216872666801088221199302855425381971392e-04, + 5.443907469936847167357856879576832191936678525600793978043688e-05, + -3.463498418698499554128085159974043214506488048233458035943601e-05, + 4.494274277236510095415648282310130916410497987383753460571741e-06 +}; + +static const double db12[24] = { + 1.311225795722951750674609088893328065665510641931325007748280e-02, + 1.095662728211851546057045050248905426075680503066774046383657e-01, + 3.773551352142126570928212604879206149010941706057526334705839e-01, + 6.571987225793070893027611286641169834250203289988412141394281e-01, + 5.158864784278156087560326480543032700677693087036090056127647e-01, + -4.476388565377462666762747311540166529284543631505924139071704e-02, + -3.161784537527855368648029353478031098508839032547364389574203e-01, + -2.377925725606972768399754609133225784553366558331741152482612e-02, + 1.824786059275796798540436116189241710294771448096302698329011e-01, + 5.359569674352150328276276729768332288862665184192705821636342e-03, + -9.643212009650708202650320534322484127430880143045220514346402e-02, + 1.084913025582218438089010237748152188661630567603334659322512e-02, + 4.154627749508444073927094681906574864513532221388374861287078e-02, + -1.221864906974828071998798266471567712982466093116558175344811e-02, + -1.284082519830068329466034471894728496206109832314097633275225e-02, + 6.711499008795509177767027068215672450648112185856456740379455e-03, + 2.248607240995237599950865211267234018343199786146177099262010e-03, + -2.179503618627760471598903379584171187840075291860571264980942e-03, + 6.545128212509595566500430399327110729111770568897356630714552e-06, + 3.886530628209314435897288837795981791917488573420177523436096e-04, + -8.850410920820432420821645961553726598738322151471932808015443e-05, + -2.424154575703078402978915320531719580423778362664282239377532e-05, + 1.277695221937976658714046362616620887375960941439428756055353e-05, + -1.529071758068510902712239164522901223197615439660340672602696e-06 +}; + +static const double db13[26] = { + 9.202133538962367972970163475644184667534171916416562386009703e-03, + 8.286124387290277964432027131230466405208113332890135072514277e-02, + 3.119963221604380633960784112214049693946683528967180317160390e-01, + 6.110558511587876528211995136744180562073612676018239438526582e-01, + 5.888895704312189080710395347395333927665986382812836042235573e-01, + 8.698572617964723731023739838087494399231884076619701250882016e-02, + -3.149729077113886329981698255932282582876888450678789025950306e-01, + -1.245767307508152589413808336021260180792739295173634719572069e-01, + 1.794760794293398432348450072339369013581966256244133393042881e-01, + 7.294893365677716380902830610477661983325929026879873553627963e-02, + -1.058076181879343264509667304196464849478860754801236658232360e-01, + -2.648840647534369463963912248034785726419604844297697016264224e-02, + 5.613947710028342886214501998387331119988378792543100244737056e-02, + 2.379972254059078811465170958554208358094394612051934868475139e-03, + -2.383142071032364903206403067757739134252922717636226274077298e-02, + 3.923941448797416243316370220815526558824746623451404043918407e-03, + 7.255589401617566194518393300502698898973529679646683695269828e-03, + -2.761911234656862178014576266098445995350093330501818024966316e-03, + -1.315673911892298936613835370593643376060412592653652307238124e-03, + 9.323261308672633862226517802548514100918088299801952307991569e-04, + 4.925152512628946192140957387866596210103778299388823500840094e-05, + -1.651289885565054894616687709238000755898548214659776703347801e-04, + 3.067853757932549346649483228575476236600428217237900563128230e-05, + 1.044193057140813708170714991080596951670706436217328169641474e-05, + -4.700416479360868325650195165061771321650383582970958556568059e-06, + 5.220035098454864691736424354843176976747052155243557001531901e-07 +}; + +static const double db14[28] = { + 6.461153460087947818166397448622814272327159419201199218101404e-03, + 6.236475884939889832798566758434877428305333693407667164602518e-02, + 2.548502677926213536659077886778286686187042416367137443780084e-01, + 5.543056179408938359926831449851154844078269830951634609683997e-01, + 6.311878491048567795576617135358172348623952456570017289788809e-01, + 2.186706877589065214917475918217517051765774321270432059030273e-01, + -2.716885522787480414142192476181171094604882465683330814311896e-01, + -2.180335299932760447555558812702311911975240669470604752747127e-01, + 1.383952138648065910739939690021573713989900463229686119059119e-01, + 1.399890165844607012492943162271163440328221555614326181333683e-01, + -8.674841156816968904560822066727795382979149539517503657492964e-02, + -7.154895550404613073584145115173807990958069673129538099990913e-02, + 5.523712625921604411618834060533403397913833632511672157671107e-02, + 2.698140830791291697399031403215193343375766595807274233284349e-02, + -3.018535154039063518714822623489137573781575406658652624883756e-02, + -5.615049530356959133218371367691498637457297203925810387698680e-03, + 1.278949326633340896157330705784079299374903861572058313481534e-02, + -7.462189892683849371817160739181780971958187988813302900435487e-04, + -3.849638868022187445786349316095551774096818508285700493058915e-03, + 1.061691085606761843032566749388411173033941582147830863893939e-03, + 7.080211542355278586442977697617128983471863464181595371670094e-04, + -3.868319473129544821076663398057314427328902107842165379901468e-04, + -4.177724577037259735267979539839258928389726590132730131054323e-05, + 6.875504252697509603873437021628031601890370687651875279882727e-05, + -1.033720918457077394661407342594814586269272509490744850691443e-05, + -4.389704901781394115254042561367169829323085360800825718151049e-06, + 1.724994675367812769885712692741798523587894709867356576910717e-06, + -1.787139968311359076334192938470839343882990309976959446994022e-07 +}; + +static const double db15[30] = { + 4.538537361578898881459394910211696346663671243788786997916513e-03, + 4.674339489276627189170969334843575776579151700214943513113197e-02, + 2.060238639869957315398915009476307219306138505641930902702047e-01, + 4.926317717081396236067757074029946372617221565130932402160160e-01, + 6.458131403574243581764209120106917996432608287494046181071489e-01, + 3.390025354547315276912641143835773918756769491793554669336690e-01, + -1.932041396091454287063990534321471746304090039142863827937754e-01, + -2.888825965669656462484125009822332981311435630435342594971292e-01, + 6.528295284877281692283107919869574882039174285596144125965101e-02, + 1.901467140071229823484893116586020517959501258174336696878156e-01, + -3.966617655579094448384366751896200668381742820683736805449745e-02, + -1.111209360372316933656710324674058608858623762165914120505657e-01, + 3.387714392350768620854817844433523770864744687411265369463195e-02, + 5.478055058450761268913790312581879108609415997422768564244845e-02, + -2.576700732843996258594525754269826392203641634825340138396836e-02, + -2.081005016969308167788483424677000162054657951364899040996166e-02, + 1.508391802783590236329274460170322736244892823305627716233968e-02, + 5.101000360407543169708860185565314724801066527344222055526631e-03, + -6.487734560315744995181683149218690816955845639388826407928967e-03, + -2.417564907616242811667225326300179605229946995814535223329411e-04, + 1.943323980382211541764912332541087441011424865579531401452302e-03, + -3.734823541376169920098094213645414611387630968030256625740226e-04, + -3.595652443624688121649620075909808858194202454084090305627480e-04, + 1.558964899205997479471658241227108816255567059625495915228603e-04, + 2.579269915531893680925862417616855912944042368767340709160119e-05, + -2.813329626604781364755324777078478665791443876293788904267255e-05, + 3.362987181737579803124845210420177472134846655864078187186304e-06, + 1.811270407940577083768510912285841160577085925337507850590290e-06, + -6.316882325881664421201597299517657654166137915121195510416641e-07, + 6.133359913305752029056299460289788601989190450885396512173845e-08 +}; + +static const double db16[32] = { + 3.189220925347738029769547564645958687067086750131428767875878e-03, + 3.490771432367334641030147224023020009218241430503984146140054e-02, + 1.650642834888531178991252730561134811584835002342723240213592e-01, + 4.303127228460038137403925424357684620633970478036986773924646e-01, + 6.373563320837888986319852412996030536498595940814198125967751e-01, + 4.402902568863569000390869163571679288527803035135272578789884e-01, + -8.975108940248964285718718077442597430659247445582660149624718e-02, + -3.270633105279177046462905675689119641757228918228812428141723e-01, + -2.791820813302827668264519595026873204339971219174736041535479e-02, + 2.111906939471042887209680163268837900928491426167679439251042e-01, + 2.734026375271604136485245757201617965429027819507130220231500e-02, + -1.323883055638103904500474147756493375092287817706027978798549e-01, + -6.239722752474871765674503394120025865444656311678760990761458e-03, + 7.592423604427631582148498743941422461530405946100943351940313e-02, + -7.588974368857737638494890864636995796586975144990925400097160e-03, + -3.688839769173014233352666320894554314718748429706730831064068e-02, + 1.029765964095596941165000580076616900528856265803662208854147e-02, + 1.399376885982873102950451873670329726409840291727868988490100e-02, + -6.990014563413916670284249536517288338057856199646469078115759e-03, + -3.644279621498389932169000540933629387055333973353108668841215e-03, + 3.128023381206268831661202559854678767821471906193608117450360e-03, + 4.078969808497128362417470323406095782431952972310546715071397e-04, + -9.410217493595675889266453953635875407754747216734480509250273e-04, + 1.142415200387223926440228099555662945839684344936472652877091e-04, + 1.747872452253381803801758637660746874986024728615399897971953e-04, + -6.103596621410935835162369150522212811957259981965919143961722e-05, + -1.394566898820889345199078311998401982325273569198675335408707e-05, + 1.133660866127625858758848762886536997519471068203753661757843e-05, + -1.043571342311606501525454737262615404887478930635676471546032e-06, + -7.363656785451205512099695719725563646585445545841663327433569e-07, + 2.308784086857545866405412732942006121306306735866655525372544e-07, + -2.109339630100743097000572623603489906836297584591605307745349e-08 +}; + +static const double db17[34] = { + 2.241807001037312853535962677074436914062191880560370733250531e-03, + 2.598539370360604338914864591720788315473944524878241294399948e-02, + 1.312149033078244065775506231859069960144293609259978530067004e-01, + 3.703507241526411504492548190721886449477078876896803823650425e-01, + 6.109966156846228181886678867679372082737093893358726291371783e-01, + 5.183157640569378393254538528085968046216817197718416402439904e-01, + 2.731497040329363500431250719147586480350469818964563003672942e-02, + -3.283207483639617360909665340725061767581597698151558024679130e-01, + -1.265997522158827028744679110933825505053966260104086162103728e-01, + 1.973105895650109927854047044781930142551422414135646917122284e-01, + 1.011354891774702721509699856433434802196622545499664876109437e-01, + -1.268156917782863110948571128662331680384792185915017065732137e-01, + -5.709141963167692728911239478651382324161160869845347053990144e-02, + 8.110598665416088507965885748555429201024364190954499194020678e-02, + 2.231233617810379595339136059534813756232242114093689244020869e-02, + -4.692243838926973733300897059211400507138768125498030602878439e-02, + -3.270955535819293781655360222177494452069525958061609392809275e-03, + 2.273367658394627031845616244788448969906713741338339498024864e-02, + -3.042989981354637068592482637907206078633395457225096588287881e-03, + -8.602921520322854831713706413243659917926736284271730611920986e-03, + 2.967996691526094872806485060008038269959463846548378995044195e-03, + 2.301205242153545624302059869038423604241976680189447476064764e-03, + -1.436845304802976126222890402980384903503674530729935809561434e-03, + -3.281325194098379713954444017520115075812402442728749700195651e-04, + 4.394654277686436778385677527317841632289249319738892179465910e-04, + -2.561010956654845882729891210949920221664082061531909655178413e-05, + -8.204803202453391839095482576282189866136273049636764338689593e-05, + 2.318681379874595084482068205706277572106695174091895338530734e-05, + 6.990600985076751273204549700855378627762758585902057964027481e-06, + -4.505942477222988194102268206378312129713572600716499944918416e-06, + 3.016549609994557415605207594879939763476168705217646897702706e-07, + 2.957700933316856754979905258816151367870345628924317307354639e-07, + -8.423948446002680178787071296922877068410310942222799622593133e-08, + 7.267492968561608110879767441409035034158581719789791088892046e-09 +}; + +static const double db18[36] = { + 1.576310218440760431540744929939777747670753710991660363684429e-03, + 1.928853172414637705921391715829052419954667025288497572236714e-02, + 1.035884658224235962241910491937253596470696555220241672976224e-01, + 3.146789413370316990571998255652579931786706190489374509491307e-01, + 5.718268077666072234818589370900623419393673743130930561295324e-01, + 5.718016548886513352891119994065965025668047882818525060759395e-01, + 1.472231119699281415750977271081072312557864107355701387801677e-01, + -2.936540407365587442479030994981150723935710729035053239661752e-01, + -2.164809340051429711237678625668271471437937235669492408388692e-01, + 1.495339755653777893509301738913667208804816691893765610261943e-01, + 1.670813127632574045149318139950134745324205646353988083152250e-01, + -9.233188415084628060429372558659459731431848000144569612074508e-02, + -1.067522466598284855932200581614984861385266404624112083917702e-01, + 6.488721621190544281947577955141911463129382116634147846137149e-02, + 5.705124773853688412090768846499622260596226120431038524600676e-02, + -4.452614190298232471556143559744653492971477891439833592755034e-02, + -2.373321039586000103275209582665216110197519330713490233071565e-02, + 2.667070592647059029987908631672020343207895999936072813363471e-02, + 6.262167954305707485236093144497882501990325204745013190268052e-03, + -1.305148094661200177277636447600807169755191054507571666606133e-02, + 1.186300338581174657301741592161819084544899417452317405185615e-04, + 4.943343605466738130665529516802974834299638313366477765295203e-03, + -1.118732666992497072800658855238650182318060482584970145512687e-03, + -1.340596298336106629517567228251583609823044524685986640323942e-03, + 6.284656829651457125619449885420838217551022796301582874349652e-04, + 2.135815619103406884039052814341926025873200325996466522543440e-04, + -1.986485523117479485798245416362489554927797880264017876139605e-04, + -1.535917123534724675069770335876717193700472427021513236587288e-07, + 3.741237880740038181092208138035393952304292615793985030731363e-05, + -8.520602537446695203919254911655523022437596956226376512305917e-06, + -3.332634478885821888782452033341036827311505907796498439829337e-06, + 1.768712983627615455876328730755375176412501359114058815453100e-06, + -7.691632689885176146000152878539598405817397588156525116769908e-08, + -1.176098767028231698450982356561292561347579777695396953528141e-07, + 3.068835863045174800935478294933975372450179787894574492930570e-08, + -2.507934454948598267195173183147126731806317144868275819941403e-09 +}; + +static const double db19[38] = { + 1.108669763181710571099154195209715164245299677773435932135455e-03, + 1.428109845076439737439889152950199234745663442163665957870715e-02, + 8.127811326545955065296306784901624839844979971028620366497726e-02, + 2.643884317408967846748100380289426873862377807211920718417385e-01, + 5.244363774646549153360575975484064626044633641048072116393160e-01, + 6.017045491275378948867077135921802620536565639585963293313931e-01, + 2.608949526510388292872456675310528324172673101301907739925213e-01, + -2.280913942154826463746325776054637207093787237086425909534822e-01, + -2.858386317558262418545975695028984237217356095588335149922119e-01, + 7.465226970810326636763433111878819005865866149731909656365399e-02, + 2.123497433062784888090608567059824197077074200878839448416908e-01, + -3.351854190230287868169388418785731506977845075238966819814032e-02, + -1.427856950387365749779602731626112812998497706152428508627562e-01, + 2.758435062562866875014743520162198655374474596963423080762818e-02, + 8.690675555581223248847645428808443034785208002468192759640352e-02, + -2.650123625012304089901835843676387361075068017686747808171345e-02, + -4.567422627723090805645444214295796017938935732115630050880109e-02, + 2.162376740958504713032984257172372354318097067858752542571020e-02, + 1.937554988917612764637094354457999814496885095875825546406963e-02, + -1.398838867853514163250401235248662521916813867453095836808366e-02, + -5.866922281012174726584493436054373773814608340808758177372765e-03, + 7.040747367105243153014511207400620109401689897665383078229398e-03, + 7.689543592575483559749139148673955163477947086039406129546422e-04, + -2.687551800701582003957363855070398636534038920982478290170267e-03, + 3.418086534585957765651657290463808135214214848819517257794031e-04, + 7.358025205054352070260481905397281875183175792779904858189494e-04, + -2.606761356786280057318315130897522790383939362073563408613547e-04, + -1.246007917341587753449784408901653990317341413341980904757592e-04, + 8.711270467219922965416862388191128268412933893282083517729443e-05, + 5.105950487073886053049222809934231573687367992106282669389264e-06, + -1.664017629715494454620677719899198630333675608812018108739144e-05, + 3.010964316296526339695334454725943632645798938162427168851382e-06, + 1.531931476691193063931832381086636031203123032723477463624141e-06, + -6.862755657769142701883554613486732854452740752771392411758418e-07, + 1.447088298797844542078219863291615420551673574071367834316167e-08, + 4.636937775782604223430857728210948898871748291085962296649320e-08, + -1.116402067035825816390504769142472586464975799284473682246076e-08, + 8.666848838997619350323013540782124627289742190273059319122840e-10 +}; + +static const double db20[40] = { + 7.799536136668463215861994818889370970510722039232863880031127e-04, + 1.054939462495039832454480973015641498231961468733236691299796e-02, + 6.342378045908151497587346582668785136406523315729666353643372e-02, + 2.199421135513970450080335972537209392121306761010882209298252e-01, + 4.726961853109016963710241465101446230757804141171727845834637e-01, + 6.104932389385938201631515660084201906858628924695448898824748e-01, + 3.615022987393310629195602665268631744967084723079677894136358e-01, + -1.392120880114838725806970545155530518264944915437808314813582e-01, + -3.267868004340349674031122837905370666716645587480021744425550e-01, + -1.672708830907700757517174997304297054003744303620479394006890e-02, + 2.282910508199163229728429126648223086437547237250290835639880e-01, + 3.985024645777120219790581076522174181104027576954427684456660e-02, + -1.554587507072679559315307870562464374359996091752285157077477e-01, + -2.471682733861358401587992299169922262915151413349313513685587e-02, + 1.022917191744425578861013681016866083888381385233081516583444e-01, + 5.632246857307435506953246988215209861566800664402785938591145e-03, + -6.172289962468045973318658334083283558209278762007041823250642e-02, + 5.874681811811826491300679742081997167209743446956901841959711e-03, + 3.229429953076958175885440860617219117564558605035979601073235e-02, + -8.789324923901561348753650366700695916503030939283830968151332e-03, + -1.381052613715192007819606423860356590496904285724730356602106e-02, + 6.721627302259456835336850521405425560520025237915708362002910e-03, + 4.420542387045790963058229526673514088808999478115581153468068e-03, + -3.581494259609622777556169638358238375765194248623891034940330e-03, + -8.315621728225569192482585199373230956924484221135739973390038e-04, + 1.392559619323136323905254999347967283760544147397530531142397e-03, + -5.349759843997695051759716377213680036185796059087353172073952e-05, + -3.851047486992176060650288501475716463266233035937022303649838e-04, + 1.015328897367029050797488785306056522529979267572003990901472e-04, + 6.774280828377729558011184406727978221295796652200819839464354e-05, + -3.710586183394712864227221271216408416958225264980612822617745e-05, + -4.376143862183996810373095822528607606900620592585762190542483e-06, + 7.241248287673620102843105877497181565468725757387007139555885e-06, + -1.011994010018886150340475413756849103197395069431085005709201e-06, + -6.847079597000556894163334787575159759109091330092963990364192e-07, + 2.633924226270001084129057791994367121555769686616747162262697e-07, + 2.014322023550512694324757845944026047904414136633776958392681e-10, + -1.814843248299695973210605258227024081458531110762083371310917e-08, + 4.056127055551832766099146230616888024627380574113178257963252e-09, + -2.998836489619319566407767078372705385732460052685621923178375e-10 +}; + + +const double db21[42] = { + 5.488225098526837086776336675992521426750673054588245523834775e-04, + 7.776639052354783754338787398088799862510779059555623704879234e-03, + 4.924777153817727491399853378340056968104483161598320693657954e-02, + 1.813596254403815156260378722764624190931951510708050516519181e-01, + 4.196879449393627730946850609089266339973601543036294871772653e-01, + 6.015060949350038975629880664020955953066542593896126705346122e-01, + 4.445904519276003403643290994523601016151342743089878478478962e-01, + -3.572291961725529045922914178005307189036762547143966578066838e-02, + -3.356640895305295094832978867114363069987575282256098351499731e-01, + -1.123970715684509813515004981340306901641824212464197973490295e-01, + 2.115645276808723923846781645238468659430862736248896128529373e-01, + 1.152332984396871041993434411681730428103160016594558944687967e-01, + -1.399404249325472249247758764839776903226503657502071670245304e-01, + -8.177594298086382887387303634193790542522570670234556157566786e-02, + 9.660039032372422070232189700372539681627783322249829842275517e-02, + 4.572340574922879239251202944731235421034828710753381191345186e-02, + -6.497750489373232063332311106008616685748929419452249544690967e-02, + -1.865385920211851534093244412008141266131208093007217139232170e-02, + 3.972683542785044175197464400756126818299918992482587866999707e-02, + 3.357756390338110842532604766376200760791669954106679933144723e-03, + -2.089205367797907948785235479746212371728219866525211135343707e-02, + 2.403470920805434762380632169785689545910525667396313550679652e-03, + 8.988824381971911875349463398395464114417817949738911101372312e-03, + -2.891334348588901247375268718015882610844675931117463495551958e-03, + -2.958374038932831280750770228215510959830170264176955719827510e-03, + 1.716607040630624138494506282569230126333308533535502799235333e-03, + 6.394185005120302146432543767052865436099994387647359452249347e-04, + -6.906711170821016507268939228893784790518270744313525548714065e-04, + -3.196406277680437193708834220804640347636984901270948088339102e-05, + 1.936646504165080615323696689856004910579777568504218782029027e-04, + -3.635520250086338309442855006186370752206331429871136596927137e-05, + -3.499665984987447953974079490046597240276268044409625722689849e-05, + 1.535482509276049283124233498646050472096482329299719141107128e-05, + 2.790330539814487046106169582691767916283793946025922387556917e-06, + -3.090017164545699197158555936852697325985864588418167982685400e-06, + 3.166095442367030556603889009833954440058545355777781782000278e-07, + 2.992136630464852794401294607536813682771292352506328096125857e-07, + -1.000400879030597332045460600516621971679363965166249211063755e-07, + -2.254014974673330131563184851456825991617915549643308754828159e-09, + 7.058033541231121859020947976903904685464512825731230495144226e-09, + -1.471954197650365265189549600816698778213247061389470277337173e-09, + 1.038805571023706553035373138760372703492942617518816122570050e-10 }; + +const double db22[44] = { + 3.862632314910982158524358900615460368877852009576899680767316e-04, + 5.721854631334539120809783403484493333555361591386208129183833e-03, + 3.806993723641108494769873046391825574447727068953448390456335e-02, + 1.483675408901114285014404448710249837385836373168215616427030e-01, + 3.677286834460374788614690818452372827430535649696462720334897e-01, + 5.784327310095244271421181831735444106385099957908657145590104e-01, + 5.079010906221639018391523325390716836568713192498711562711282e-01, + 7.372450118363015165570139016530653113725172412104955350368114e-02, + -3.127265804282961918033226222621788537078452535993545440716988e-01, + -2.005684061048870939324361244042200174132905844868237447130382e-01, + 1.640931881067664818606223226286885712554385317412228836705888e-01, + 1.799731879928913037252154295313083168387840791424988422757762e-01, + -9.711079840911470969274209179691733251456735137994201552926799e-02, + -1.317681376866834107513648518146838345477875022352088357523838e-01, + 6.807631439273221556739202147004580559367442550641388181886023e-02, + 8.455737636682607503362813659356786494357635805197410905877078e-02, + -5.136425429744413245727949984018884707909441768477091944584584e-02, + -4.653081182750671347875833607846979997825771277976548080904423e-02, + 3.697084662069802057615318892988581825637896696876361343354380e-02, + 2.058670762756536044060249710676656807281671451609632981487139e-02, + -2.348000134449318868560142854519364987363882333754753819791381e-02, + -6.213782849364658499069336123807608293122900450508440420104462e-03, + 1.256472521834337406887017835495604463815382993214296088172221e-02, + 3.001373985076435951229129255588255746904937042979316054485183e-04, + -5.455691986156717076595353163071679107868762395367234726592273e-03, + 1.044260739186025323350755659184734060807432172611689413745029e-03, + 1.827010495657279080112597436850157110235336772062961041154607e-03, + -7.706909881231196232880372722955519781655769913634565757339739e-04, + -4.237873998391800799531947768003976978197438302533528661825758e-04, + 3.286094142136787341983758471405935405823323072829619248523697e-04, + 4.345899904532003379046992625575076092823809665933575578710696e-05, + -9.405223634815760421845190098352673647881298980040512091599943e-05, + 1.137434966212593172736144274866639210339820203135670505287250e-05, + 1.737375695756189356163565074505405906859746605867772002320509e-05, + -6.166729316467578372152251668422979152169587307212708981768966e-06, + -1.565179131995160159307426993578204733378112742579926503832095e-06, + 1.295182057318877573889711232345068147800395721925682566394936e-06, + -8.779879873361286276888117046153049053917243760475816789226764e-08, + -1.283336228751754417819693932114064887075096030264748079976736e-07, + 3.761228749337362366156711648187743399164239397803629022612862e-08, + 1.680171404922988885554331183691280245962290247654438114807112e-09, + -2.729623146632976083449327361739104754443221903317745768938846e-09, + 5.335938821667489905169783227036804533253011117886586305435615e-10, + -3.602113484339554703794807810939301847299106970237814334104274e-11 }; + +const double db23[46] = { + 2.719041941282888414192673609703302357098336003920923958924757e-04, + 4.202748893183833538390034372523511472345215563611003407984701e-03, + 2.931000365788411514736204018929480427874317460676079959515131e-02, + 1.205155317839719336306053895611899089004274336891709067958035e-01, + 3.184508138528652363416527748460472152790575031409830417259640e-01, + 5.449311478735204282674240672421984387504149924834544495466793e-01, + 5.510185172419193913452724227212507720514144116478727269717859e-01, + 1.813926253638400136259098302138614937264260737638175539416540e-01, + -2.613921480306441118856795735210118413900307577511142987337375e-01, + -2.714020986078430556604069575184718123763697177381058877113471e-01, + 9.212540708241805260646030910734894258577648089100630012130261e-02, + 2.235736582420402317149513960822561717689875252792817094811874e-01, + -3.303744709428937875006612792463031409461636228731285046551636e-02, + -1.640113215318759250156057837165276039181451149292112929401186e-01, + 2.028307457564929974897286607551313323418860610791382310375731e-02, + 1.122970436181072886950734465075645977754665593869789965874572e-01, + -2.112621235622724100704783293549467048999443844657058425212982e-02, + -7.020739157490110946204219011957565343899895499962369353294028e-02, + 2.176585683449997560776882472168730165799461445156766923497545e-02, + 3.849533252256919901057154320407596073180564628069920893870768e-02, + -1.852351365015615979794689960740674782817814176166333519597796e-02, + -1.753710100303584537915846117408613551147985251726558719415169e-02, + 1.275194393152828646243157404474947115052750581861997731041018e-02, + 6.031840650024162816289878206037841640814102314209075233751820e-03, + -7.075319273706152814194039481466556204493276773483821748740018e-03, + -1.134865473356251691289337120013286756337393784110786907825400e-03, + 3.122876449818144997419144765125750522437659393621577492535411e-03, + -2.465014005163512031940473100375377210862560761576109755841161e-04, + -1.061231228886651321139357625683805642193648671030425010215075e-03, + 3.194204927099011503676530359692366990929679170022583007683112e-04, + 2.567624520078737205563856675376636092314813400664190770435450e-04, + -1.500218503490340967673163290447832236259277810659068637402668e-04, + -3.378894834120903434270962452674534330903724108906662510305045e-05, + 4.426071203109246077621875303440935335701832843654692827539837e-05, + -2.635207889249186237209225933170897825432335273771458456888097e-06, + -8.347875567854625544366043748844183086765894974439245409223337e-06, + 2.397569546840240057403739507525641239509517148980849889986407e-06, + 8.147574834779447778085443041422881439860288287528356019216814e-07, + -5.339005405209421154584783682848780965053642859373536945701365e-07, + 1.853091785633965019353699857864654181728710556702529908304185e-08, + 5.417549179539278736503176166323685597634496102979977037271945e-08, + -1.399935495437998845130909687361847103274208993447892120341999e-08, + -9.472885901812050535221582074673490573092096712822067564903012e-10, + 1.050446453696543404071105111096438573423068913105255997908040e-09, + -1.932405111313417542192651899622541612314066389643607507706887e-10, + 1.250203302351040941433216718217504240541423430995137507404787e-11 }; + +const double db24[48] = { + 1.914358009475513695026138336474115599435172088053846745168462e-04, + 3.082081714905494436206199424544404720984720556128685270556458e-03, + 2.248233994971641072358415157184825628226776692231940577581580e-02, + 9.726223583362519663806545734008355914527504417674578571164300e-02, + 2.729089160677263268706137134412557268751671263458895098625356e-01, + 5.043710408399249919771876890402814109246866444441814540282099e-01, + 5.749392210955419968460807901923407033144945935105622912839838e-01, + 2.809855532337118833442626085115402941842959475929278883281409e-01, + -1.872714068851562376981887159775791469060265778441667840307934e-01, + -3.179430789993627375453948489797707550898087789160025182664299e-01, + 4.776613684344728187950198323031360866349104994035553200788631e-03, + 2.392373887803108551973268291945824822214858134512317715815616e-01, + 4.252872964148383258147364472170645232684343235486951540533893e-02, + -1.711753513703468896897638515080572393949165942335556397917666e-01, + -3.877717357792001620177594726199572688446488033750771020190283e-02, + 1.210163034692242362312637311149062286659377039046006801523826e-01, + 2.098011370914481534980883827326017063121637262728447783605518e-02, + -8.216165420800166702291466006164189460916816748629968198028898e-02, + -4.578436241819221637997516339765068825260159169893967894877272e-03, + 5.130162003998087915555334881398688958843078494595140394873884e-02, + -4.944709428125628299815920032649550811877887219282751174798211e-03, + -2.821310709490189098113895361900699228886900995412759197674058e-02, + 7.661721881646585897329899904308764405384658404613669817843430e-03, + 1.304997087108573583052494067883717533043101857128653233783396e-02, + -6.291435370018187780721843581169343900864298634085743861509767e-03, + -4.746568786323113800477796959513558401732252800905982385017245e-03, + 3.736046178282523345179052160810332868725126356493155728625572e-03, + 1.153764936839481504858282495202271984454410046682805375157566e-03, + -1.696456818974824394274534636412116243080312601322325642741589e-03, + -4.416184856141520063365958900079406737636243682138363561877750e-05, + 5.861270593183109933716735450272894035425792347806515678695765e-04, + -1.181233237969554740613021227756568966806892308457221016257961e-04, + -1.460079817762616838924301818082729036314539476811023255670666e-04, + 6.559388639305634085303738560455061974369354538271316071502698e-05, + 2.183241460466558363365044032984257709791187640963509380549307e-05, + -2.022888292612697682860859987200455702614855595412267510558659e-05, + 1.341157750809114719319937553186023660581084151828593222893663e-08, + 3.901100338597702610409014129024223853127911530009766793352492e-06, + -8.980253143938407724149926669980791166378388013293887718404796e-07, + -4.032507756879971624098983247358983425236092110387724315244646e-07, + 2.166339653278574639176393978510246335478946697396400359281412e-07, + -5.057645419792500308492508924343248979317507866520688417567606e-10, + -2.255740388176086107368821674947175804005323153443170526520277e-08, + 5.157776789671999638950774266313208715015419699643333784626363e-09, + 4.748375824256231118094453549799175824526559994333227456737433e-10, + -4.024658644584379774251499574468195118601698713554294941756559e-10, + 6.991801157638230974132696433509625934021677793453732225542951e-11, + -4.342782503803710247259037552886749457951053124203814185811297e-12 }; + +const double db25[50] = { + 1.348029793470188994578489247159356055370460656508881471268611e-04, + 2.256959591854779520121391049628056149270016860666661928130747e-03, + 1.718674125404015533817186914954848902241194002444696221013131e-02, + 7.803586287213267559750659320481403668422052199257139168386084e-02, + 2.316935078860218199900621518057089104946216881512075361624214e-01, + 4.596834151460945937896973864539659944010260858049947396093277e-01, + 5.816368967460577833534892038757085635755639698734580573323031e-01, + 3.678850748029466984371319740855532278670733841012809062966976e-01, + -9.717464096463814276130048169040892607068486428294030952842447e-02, + -3.364730796417461309562110148848845218930261030262170601615289e-01, + -8.758761458765466140226687673880006154266689569025041229545538e-02, + 2.245378197451017129525176510409543155930843160711989062118482e-01, + 1.181552867199598604563067876819931882639429216001523151773895e-01, + -1.505602137505796309518094206831433270850173484773520730186277e-01, + -9.850861528996022153725952822686729410420350758543226219234795e-02, + 1.066338050184779528831274540522414711301747903916268438037723e-01, + 6.675216449401860666895983072443984697329752470942906490126865e-02, + -7.708411105657419356208567671699032054872853174701595359329826e-02, + -3.717396286112250887598137324046870459877639250821705817221557e-02, + 5.361790939877949960629041419546536897037332284703545849594129e-02, + 1.554260592910229163981295854603203625062268043511894295387375e-02, + -3.404232046065334099320628584033729153497903561399447916116575e-02, + -3.079836794847036661636693963570288706232460663070983852354326e-03, + 1.892280447662762841086581178691039363674755753459524525886478e-02, + -1.989425782202736494289461896386235348901617760816745484282494e-03, + -8.860702618046368399013064252456556969199612331833605310278698e-03, + 2.726936258738495739871469244610042793734119359765762028996059e-03, + 3.322707773973191780118197357194829286271392998979276105842863e-03, + -1.842484290203331280837780430014195744813667655929909114672154e-03, + -8.999774237462950491085382524008429604309720852269895692000702e-04, + 8.772581936748274843488806190175921376284150686011179612908221e-04, + 1.153212440466300456460181455345639872216326644527860903202733e-04, + -3.098800990984697989530544245356271119416614147098459162436317e-04, + 3.543714523276059005284289830559259809540337561365927850248007e-05, + 7.904640003965528255137496303166001735463107762646364003487560e-05, + -2.733048119960041746353244004225286857636045649642652816856524e-05, + -1.277195293199783804144903848434605690990373526086311486716394e-05, + 8.990661393062588905369930197413951232059323587543226269327396e-06, + 5.232827708153076417963912065899772684403904504491727061662335e-07, + -1.779201332653634562565948556039009149458987774189389221295909e-06, + 3.212037518862519094895005816661093988294166712919881121802831e-07, + 1.922806790142371601278104244711267420759978799176017569693322e-07, + -8.656941732278507163388031517930974947984281611717187862530250e-08, + -2.611598556111770864259843089151782206922842627174274274741722e-09, + 9.279224480081372372250073354726511359667401736947170444723772e-09, + -1.880415755062155537197782595740975189878162661203102565611681e-09, + -2.228474910228168899314793352064795957306403503495743572518755e-10, + 1.535901570162657197021927739530721955859277615795931442682785e-10, + -2.527625163465644811048864286169758128142169484216932624854015e-11, + 1.509692082823910867903367712096001664979004526477422347957324e-12 }; + +const double db26[52] = { + 9.493795750710592117802731381148054398461637804818126397577999e-05, + 1.650520233532988247022384885622071050555268137055829216839523e-03, + 1.309755429255850082057770240106799154079932963479202407364818e-02, + 6.227474402514960484193581705107415937690538641013309745983962e-02, + 1.950394387167700994245891508369324694703820522489789125908612e-01, + 4.132929622783563686116108686666547082846741228042232731476147e-01, + 5.736690430342222603195557147853022060758392664086633396520345e-01, + 4.391583117891662321931477565794105633815363384084590559889493e-01, + 1.774076780986685727823533562031556893226571319881417676492595e-03, + -3.263845936917800216385340830055349953447745005769416287177497e-01, + -1.748399612893925042664835683606584215248582345438816346170042e-01, + 1.812918323111226960705459766025430918716233584167982942044424e-01, + 1.827554095896723746537533832033286839689931924709760567945595e-01, + -1.043239002859270439148009137202747658420968144330108510179290e-01, + -1.479771932752544935782314546369458188243947772922980064071205e-01, + 6.982318611329236513756591683950208955110603212379412334701145e-02, + 1.064824052498086303236593797715344405836015002929319291715777e-01, + -5.344856168148319149493577269390074213960237013099439431132086e-02, + -6.865475960403591525454725258715351280947435823354011140858001e-02, + 4.223218579637203541206570902753288247790857760067894456114927e-02, + 3.853571597111186425832144567362328142994885395255438867968781e-02, + -3.137811036306775484244644776337594435094096964336402798072360e-02, + -1.776090356835818354094298625884058170354129044259951019182732e-02, + 2.073492017996382475887790073068984224515077665517103399898854e-02, + 5.829580555318887971939315747596613038479561943085291072787359e-03, + -1.178549790619302893728624468402138072504226527540325463847390e-02, + -5.287383992626814439198630765217969804966319971038003993984480e-04, + 5.601947239423804853206514239940474788977188460452053462770324e-03, + -9.390582504738289646165698675070641765810790863514339205205998e-04, + -2.145530281567620980305401403432221668847980295600748913748902e-03, + 8.383488056543616046381924054554052104937784379435436426690560e-04, + 6.161382204574344193703789012696411561214682388271673214197731e-04, + -4.319557074261807466712901913481943478521991611607433971794602e-04, + -1.060574748283803889966150803551837402553866816191659959347053e-04, + 1.574795238607493590547765666590811258087715699737771458390360e-04, + -5.277795493037868976293566636015627609248847457646525246271036e-06, + -4.109673996391477816326502438997466532822639385119090230965252e-05, + 1.074221540872195031273584409245060623104931330938273936484593e-05, + 7.000078682964986734859102495210684809643657474253921074934684e-06, + -3.887400161856795187587790410706550576033603097954065074023128e-06, + -4.650463220640262639231145944536092973446596027469833860001618e-07, + 7.939210633709952088373459255067360793370284788682979065122810e-07, + -1.079004237578671411922961583845716126060658213943840375162654e-07, + -8.904466370168590769052983362721567202750591914741016835071257e-08, + 3.407795621290730008673832107214820587991557116806912418558069e-08, + 2.169328259850323106986222296525930099935873861026310788086221e-09, + -3.776010478532324328184043667556576385639846460337894963138621e-09, + 6.780047245828636668305808192607091517605349478677442468580825e-10, + 1.002303191046526913509281844136258004034177309673269533418644e-10, + -5.840408185341171468465492447799819262905317576847426970757700e-11, + 9.130510016371796243923232926650252570239054815939483900056681e-12, + -5.251871224244435037810503452564279828539007071678724285717464e-13 }; + +const double db27[54] = { + 6.687131385431931734918880680779563307675740731544063787599480e-05, + 1.205531231673213234251999812212394463872002561229330125152073e-03, + 9.952588780876619771874091297340545740163119816300838847749336e-03, + 4.945259998290488004302995584228917712171023349013386944893643e-02, + 1.629220275023933206396286389387812803673796872000118325233533e-01, + 3.671102141253898226423388094379126394383458407087000700420400e-01, + 5.538498609904800487605460395549044755068663194750017660900436e-01, + 4.934061226779989979265447084358038959373468583404767251300717e-01, + 1.028408550618229112710739475157388764479351682549490307668477e-01, + -2.897168033145948463175311101489473923261698802610323264603418e-01, + -2.482645819032605667810198368127693701263349361209208170092197e-01, + 1.148230195177853576326445213787661879970642975306605349249036e-01, + 2.272732884141708265275037216925482827043581894357907763081103e-01, + -3.878641863180231062443346843661817078060143110529946543683356e-02, + -1.780317409590085821070366277249759321269342801053489323888575e-01, + 1.579939746024048431173907799261019471878724997312653292884660e-02, + 1.311979717171553289711406975836688896451835867594492827800969e-01, + -1.406275155580876537026622167053147161846397735962817855782362e-02, + -9.102290652956591798241345515773322449830692586525337562864481e-02, + 1.731101826549371089085675445961947677452358872325373949295769e-02, + 5.796940573471798814748840657698008349462526768238833307489106e-02, + -1.851249356199807710545837861298826718763077900221574749342712e-02, + -3.273906663102087145481936428049519742538150452785563039743756e-02, + 1.614696692239566682272152627542980896527822528487665111124260e-02, + 1.566559564892457873003263983940819950829497022298967052103291e-02, + -1.157718645897628140054089958116866381056430680879332334217267e-02, + -5.862096345462925972966025215266179082657169806555503857975278e-03, + 6.856635609684880675273184141746359000591385833807880272568038e-03, + 1.342626877303679609082208800217479591902967766971379107017011e-03, + -3.332854469520006162763300141047111065412307706449049389557931e-03, + 1.457529625931728587128588244152604734177322144376309490881599e-04, + 1.301177450244135139135787970279897042994109161268159963884641e-03, + -3.418351226915427611946547437228006377896519777431057005796358e-04, + -3.879018574101327604369144470124819695479087900682219330965466e-04, + 2.019719879690326857104208791272390315160018069955787875123234e-04, + 7.660058387068576876674274961751262847965101108848090019821555e-05, + -7.711145517797584208411720507329584053382646435270054267102827e-05, + -3.517483614907445391752737841583832374184046409747387149129674e-06, + 2.063442647736885318487206413360228908558806028468062177953960e-05, + -3.901164070638425528170558032557368703418425915665413541985623e-06, + -3.657500908187104997045760131046655906827644494899206692043298e-06, + 1.634369624725637835424610743915128591988676092276368687669255e-06, + 3.050880686251999094242671997731089918322345713516567387655763e-07, + -3.472468147394389269364673179891460601330730511237974736379548e-07, + 3.286558968055159530983261866450459360074591641809187825408848e-08, + 4.026255052866908637178682747490340533992340623231336911661711e-08, + -1.321332273990056558848617809101876846857728483295631388083263e-08, + -1.309465606856955151282041809232358209226373823424148862843577e-09, + 1.521614984778521740775073159445241799352681846880808663329946e-09, + -2.415526928011130660506395791946234018673860470542996426005750e-10, + -4.374986224293654395069947682013996351823060759948583134078918e-11, + 2.213662088067662485181472969374945928903854605356443772873438e-11, + -3.295790122476585807069953975043096139541415768606924980926275e-12, + 1.828188352882424933624530026056448539377272017834175009418822e-13 }; + +const double db28[56] = { + 4.710807775014051101066545468288837625869263629358873937759173e-05, + 8.794985159843870273564636742144073059158975665525081816488582e-04, + 7.542650377646859177160195786201116927568410621050693986450538e-03, + 3.909260811540534426092083794403768111329778710541126982205076e-02, + 1.351379142536410450770749411679708279921694061092200363031937e-01, + 3.225633612855224257318486139030596702170126503618082416187649e-01, + 5.249982316303355562348293243640252929543774162151269406404636e-01, + 5.305162934414858075256978195354516449402692654391295761050628e-01, + 2.001761440459844380384404537971725815970574972480152145882083e-01, + -2.304989540475825257279397658067038304888129374484095837624889e-01, + -3.013278095326417816909366061441334075444383937588485826752087e-01, + 3.285787916338710468450547883547348694255260871071954509422161e-02, + 2.458081513737595535752949960866466132239832334168533456626848e-01, + 3.690688531571127205290633425993077868843846977265847006108551e-02, + -1.828773307329849166920408764650763092868965221608724574218473e-01, + -4.683823374455167616514752420549419665215987106243491879971921e-02, + 1.346275679102260877490923315484152662987698625205479167761416e-01, + 3.447863127509970524678534595639646616244376966117385829345554e-02, + -9.768535580565244174963692133038973587005628990493154911133358e-02, + -1.734192283130589908795581592406238282930530566316914040035812e-02, + 6.774789550190933956165341752699717255041141690153626336867769e-02, + 3.448018955540951137600471926079622335842207388713342609755316e-03, + -4.333336861608628393863254980828284403766309203453808666888800e-02, + 4.431732910062988320487418656322338284504389482966303454010563e-03, + 2.468806001015186586264188361362046240243934625858343309818244e-02, + -6.815549764552309639259447104811254179605050667281644254737890e-03, + -1.206359196821849005842466619530619474644989878503490321948471e-02, + 5.838816627748944864497370576838809711476027837762897602935327e-03, + 4.784863112454241718009916669120329848973107781600157214960003e-03, + -3.725461247074254799171427871442937099025589672466088044410521e-03, + -1.360373845639692436577650137133777929659265166644839235882291e-03, + 1.875998668202795626152766912508562385106168761893900192731562e-03, + 1.415672393140464257573780581396205840941849282748250523509874e-04, + -7.486749559114629991320679819683227355746847370960399216568306e-04, + 1.154656063658921251969297916771881248142872975490882572741198e-04, + 2.295790982233456202366621544054366855729175050420515776344878e-04, + -8.903901490044488099517361247378396756893227855233897357882978e-05, + -4.907713416190250858324783990436748073854807494400738311968278e-05, + 3.641401211050802781223450761733180188911730291497201507086247e-05, + 4.638664981394294654002871426476885751050837817671843706915388e-06, + -1.004326041333422601781848560432120920634648692782357855473103e-05, + 1.247900317574834146052381692752796047052443265982232422642017e-06, + 1.840363734517769191684379309039277810350620305330900536404818e-06, + -6.670215479954892588747450458085225880096882699397256774967304e-07, + -1.757461173209842779903676264971918635870906983281392939812547e-07, + 1.490660013535362170989340065033061951960933954388633507264360e-07, + -8.262387315626556965966429243600984899650039704831080988658278e-09, + -1.784138690875710077191713941441263246560738410213624546116655e-08, + 5.044047056383436444631252840057862002264087720676808580373667e-09, + 6.944540328946226952976704718677697525410051405055662575530111e-10, + -6.077041247229010224760245305596307803830053533836849384680534e-10, + 8.492220011056382105461206077240377024404404638947591299761197e-11, + 1.867367263783390418963879146175452376940453585791428841004699e-11, + -8.365490471258800799349289794397908900767054085216008197372193e-12, + 1.188850533405901520842321749021089497203940688882364518455403e-12, + -6.367772354714857335632692092267254266368934590973693820942617e-14 }; + +const double db29[58] = { + 3.318966279841524761813546359818075441349169975922439988843475e-05, + 6.409516803044434540833706729120596322083061716935004987374676e-04, + 5.702126517773375434760843998623507494914551464968126455168657e-03, + 3.077358022140837676716707336516751814713312018344719150923618e-02, + 1.113701169517405304762186166370327770191325772342190715118617e-01, + 2.806534559709829376968881262770480606500920092398534229615289e-01, + 4.897588047621993143592705932993573539235839610055331620240518e-01, + 5.513744327583751951223746071670135992466984391233429663886536e-01, + 2.891052383358291634605691113586264061513180158354460952469246e-01, + -1.540287344599000542466293779503370141731339982919280951230240e-01, + -3.300409489175880520295083779487012611959310539629627124613719e-01, + -5.570680007294085781514541931715795784309410235726214400350351e-02, + 2.361052361530259415983110734054626770649468357328362426830433e-01, + 1.124191748731883764769740670535880543076817816861518667898467e-01, + -1.608779885941877360771615465531852333085159940159968393590303e-01, + -1.078459499387214201077881957354707913786241153934264316589273e-01, + 1.144722958938182579734135930060053286267822797640393386903440e-01, + 8.322074716244975790297348835032537357891920536002627784941129e-02, + -8.512549261563550232832311331420804581881235448862834507281486e-02, + -5.502748952532572320924541450626650067707344725344841099873446e-02, + 6.347916458421186633577789314698972361081611994794140119302163e-02, + 3.053154327270413646637328212093941030592133225231728964047047e-02, + -4.518798127778834515979704475304405691390090327474972089790857e-02, + -1.291714255426679462966473962555410660387671182428076570686472e-02, + 2.947043187174764111028122319949903667638786379520519899154373e-02, + 2.648327307678167915542397563479749119673768286990136051577167e-03, + -1.704122457360668969234196743407615179099529206118693044741086e-02, + 1.737880332720511164430027824345354801611373419264590068097416e-03, + 8.469725493560752287772961661104710791306496373354237126998903e-03, + -2.550807127789472659145072247724735637183590942511858255354005e-03, + -3.473798989681100630649790255076233970957721666820195620598374e-03, + 1.877120925723650133179338154344873477230567340668548016358682e-03, + 1.087053942226062966738944397844498417945523630053411148182206e-03, + -1.000778327085680541055696707760062870925897014530348262794137e-03, + -2.000711363076779808296301110796026470163110202848894744316755e-04, + 4.111283454742767033424740543004041500054889660665367490129376e-04, + -2.292018041214499897382298271438084577065170236103859181134525e-05, + -1.293044840080720609161466939678226852440475312744714379499074e-04, + 3.645026068562774967665464216602750761690984830805534178557146e-05, + 2.913344750169041218495787251929571015775436967652945386217480e-05, + -1.657328395306616289863396387854880512976861409870690029695161e-05, + -3.593644804025187638066915189731950450034629392522542962477168e-06, + 4.750609246452552850197117564759363194953518317428400241629683e-06, + -3.029054592052818286474228294307141792053791695855058563299597e-07, + -8.975701750636280734511651941681818767895052287332471537510510e-07, + 2.633898386997696553900967704111473475368019612368922599394214e-07, + 9.387197411095863026484410601284876812292554863800653292318725e-08, + -6.286156922010786166768503252870590953166867739448102804392389e-08, + 1.076591906619196137385201975028785139607670319821266803566785e-09, + 7.768978854770062238895964639391324551611701293594055935346266e-09, + -1.893995386171984147774611076618946011337498790609031626697228e-09, + -3.426800863263089001811012278889864200550342566386405676893537e-10, + 2.407099453509342962399811991929330725186626582891090462239366e-10, + -2.940589250764532582888473974638273664244682541297835986306504e-11, + -7.832509733627817032356556582819494794884131433810848844709881e-12, + 3.152762413370310423797539876893861621418382024668704492620948e-12, + -4.285654870068344101898185073376307686875386259541180967347399e-13, + 2.219191311588302960934661700068023727737812918006011019184982e-14 }; + +const double db30[60] = { + 2.338616172731421471474407279894891960011661146356580425400538e-05, + 4.666379504285509336662000111055365140848987563882199035322085e-04, + 4.300797165048069510045016757402827408493482974782286966500398e-03, + 2.413083267158837895194919987958311943976725005113561262334092e-02, + 9.123830406701570679321575555085899708564500191080751595642650e-02, + 2.420206709402140994467599658342919512318194032687898436229538e-01, + 4.504878218533178366981351802898336415314944375740699506554771e-01, + 5.575722329128364304078082520999850413492571645754785374629734e-01, + 3.662426833716279793144871151369089533016299234992584741629624e-01, + -6.618367077593731501909741041813726474911212544474895441395148e-02, + -3.329669750208556069196849320598850505877494561268613506392514e-01, + -1.419685133300829310219026267403758254954270602825020111483505e-01, + 1.994621215806643032428990062111230223523226088131364328774921e-01, + 1.778298732448367361280250921330425046260289700971176750362566e-01, + -1.145582194327077814891518778613672243404957549114393749173137e-01, + -1.572368179599938126878197378886501553251711910617673398124611e-01, + 7.277865897036442699893544326605244235248713804556715604416632e-02, + 1.227477460450093778691578797698150091624353365248212907325446e-01, + -5.380646545825707676022015051837304300338645984615639237930800e-02, + -8.765869003638366048026572053699028353846982304851342479893827e-02, + 4.380166467141773250305407710250135373016604593736480428415303e-02, + 5.671236574473569492590636983030617493807140224924978946302257e-02, + -3.567339749675960965780819743176056734137251336781389369397564e-02, + -3.226375891935220815954913483392725682165778426411705216010280e-02, + 2.707861959529418272206848318420006522973840949600186710327776e-02, + 1.528796076985739546052896626042375110302102640936712142026221e-02, + -1.839974386811734118728169880549148389603890445324127330811811e-02, + -5.296859666131086629169938675330494864053932988161015674773617e-03, + 1.091563165830488927536881480211929049886878831313700460017968e-02, + 6.196717564977244383592534999284255315694546230739551683085460e-04, + -5.530730148192003288871383856487027893918513053091795443517653e-03, + 8.433845866620933982126003584365932145598126087481400294999080e-04, + 2.324520094060099304385756339638431339131122661576649123053845e-03, + -8.609276968110423879660725173525347077801305237644122054954659e-04, + -7.678782504380918697963922441514742758516706160788123977340073e-04, + 5.050948239033467796256544554086554367969638627715114003635557e-04, + 1.724825842351709725545759714374272164367933578194910678479473e-04, + -2.161718301169633804271038862087964094429005266172702380483361e-04, + -8.548305467584070994787824796256108217987765582429940610377190e-06, + 6.982008370808327851082027193100914402221658444151889697045071e-05, + -1.339716863293971629296314599448901465078920406443516550195793e-05, + -1.636152478725426488654528710478856195004608401773950511915162e-05, + 7.252145535890469015723401169934327900622894130695550273452916e-06, + 2.327549098493686509557358103785598216688723737824121617676858e-06, + -2.187267676996166416699555236143059249832615777542412142603694e-06, + 1.099474338526203304286307383463498542376432972308342428764576e-08, + 4.261662326011572446469849114416378817419458434583398455985144e-07, + -1.000414682354500898864979332965559934104686157639553850670490e-07, + -4.764379965139453357729154748688006975561934425368712852985388e-08, + 2.605442754977625431940885841950955928085338672381046225838880e-08, + 5.553397861397053982967618072672572206490972606026556946910028e-10, + -3.331105680467578245901976412732595596538702049437802824373020e-09, + 6.984862691832182584221096665570313611280449991512869846064780e-10, + 1.613622978270904360610418704685783656905979134344922647926295e-10, + -9.461387997276802120884525814092001871993910062127702293573920e-11, + 1.000105131393171192746337860330428369495110180346654025287492e-11, + 3.239428638532286114355931428908079297696045600279108835760520e-12, + -1.185237592101582328254231496310584611948560976394420324137742e-12, + 1.543997570847620046003616417646988780670333040868954794039905e-13, + -7.737942630954405708679963277418806436871098329050829841696327e-15 }; + +const double db31[62] = { + 1.648013386456140748122177817418358316441195236228590958603489e-05, + 3.394122037769956699157160165352942212213928231154233571163033e-04, + 3.236884068627721221829662672296912258338131668810067169630813e-03, + 1.885369161298591269159568944275763468999829139547989648553486e-02, + 7.433609301164788697908776495388047669378919816041031344650271e-02, + 2.070128744852353286198055444111916450619762837756134323019573e-01, + 4.091922000374278563928213235836188963704298775635493549519369e-01, + 5.511398409142754983590484577074663132074992263886810324421617e-01, + 4.294688082061372955430413148799008354573408538414331312236645e-01, + 2.716921249736946422305354732634261873401679092095992827198308e-02, + -3.109551183195075186926560285811004715398678229333522634202008e-01, + -2.179784855235633521693544507220105631639547435903112747133934e-01, + 1.401782887652732681656253206993073895422881511380152633441096e-01, + 2.249667114737370933697297905066886078307490136415302624018330e-01, + -4.992634916046823977000579399730138693074543903234092797936484e-02, + -1.869623608957154494374577196258383009208655076187653847079167e-01, + 1.543698842948893409652995335281236231845293548571166883219023e-02, + 1.450895009319931981518942907854879059128872873116921504156674e-01, + -8.139832273469236863527708715566588550006680549152344840146851e-03, + -1.076127733234956326668605511648013952380301953590447106075614e-01, + 1.094129745236496925725237900637802669504835743555466811796369e-02, + 7.535361174328140695528289751109133941376701984419452638686226e-02, + -1.488002661810482202699555987503429289100801979910046913257306e-02, + -4.861907546485433003537603385831190109391263542044516048871113e-02, + 1.615417156598591113619453864586701665635869166193865651960591e-02, + 2.804761936675616906861927211659154977049392281479113764697785e-02, + -1.427627527776351943309800140756746087215016194775579070599004e-02, + -1.390055293926652880755898888934447671732373519028670201124816e-02, + 1.051763948737184089128633441244991643331033825102031908858652e-02, + 5.516163573310992566561289762241160214476622662764637181816550e-03, + -6.520852375874612553325469682628530079210293774541131381751695e-03, + -1.428264223218909891400516038687842292177211292295049238921068e-03, + 3.393066776715931928419358796960612411097347419792355896915546e-03, + -6.397901106014600492881202314307290077992972755016494062875201e-05, + -1.459041741985160943114515221598080223845239255190055621901681e-03, + 3.431398296904734438118401084929505912208229684629857530009147e-04, + 4.998816175637222614896912406679513231966722440032799024979502e-04, + -2.396583469402949615285646688069476140260781708006174912535660e-04, + -1.243411617250228669409179807383399199879641177993453588807726e-04, + 1.089584350416766882738651833752634206358441308880869184416670e-04, + 1.501335727444532997071651937630983442758297688087711521441229e-05, + -3.631255157860086164261313773172162991107348698083164489165837e-05, + 4.034520235184278839752741499546098778993926344831736074409765e-06, + 8.795301342692987765440618030678349427367022581211855857458220e-06, + -3.035142365891509630069007852947057220760887215249503512783023e-06, + -1.369060230942940782050489751987123955074404782177163471279285e-06, + 9.810015422044371573950976088058064384946146188110905321673802e-07, + 5.327250656974915426977440959783080593776012130063170688309127e-08, + -1.975925129170206248152121156696590501303803187231928513867046e-07, + 3.616826517331004805247567218405798591329788122337274956172315e-08, + 2.328309713821409644308538888589329921141948539678106680777082e-08, + -1.061529602150252306500404266150823962402673780484965538270541e-08, + -6.474311687959861398702581539341954438747926255671605657095807e-10, + 1.408568151025177427076547804944585301332087108125727813194374e-09, + -2.524043954153353306183643702933218308617979467184848456565837e-10, + -7.348930032486263904766913919653624379586487437915175106407348e-11, + 3.692108808871129411604189196259677640440919369478263728899602e-11, + -3.327008967125979929910636246337150851642079794871116041187279e-12, + -1.324334917243963163878274345609465717294426628053460151843705e-12, + 4.445467096291932163298411852093011459626037560439178917611592e-13, + -5.559442050579014337641375730083534521513818164827556763756543e-14, + 2.699382879762665647295493928801387173921314576598505507855504e-15 }; + +const double db32[64] = { + 1.161463302135014885567464100760659332951431420121048996305591e-05, + 2.466566906380903352739104211274667134470169443886449124673996e-04, + 2.431261919572266100780423071905958127811969678055971488060574e-03, + 1.468104638141913563547809006402194831107662001343421893488086e-02, + 6.025749912033537081745451975527967031851677384078997261920024e-02, + 1.757507836394388988189299915753348505208376399651864661397588e-01, + 3.675096285973496361995340339143234125206079560406868595968025e-01, + 5.343179193409538322901117858552186425529774700290587495921679e-01, + 4.778091637339484033555130814414794130354053753675509287934741e-01, + 1.206305382656178269538098710665261299391507308342013788891222e-01, + -2.666981814766755535489784087869865024226542605534080371507405e-01, + -2.774215815584272153338153320303401666681294506143291967655666e-01, + 6.471335480551623831000090095167664918448659157720155321560811e-02, + 2.483106423568801736064852157222867588791898170114101300999760e-01, + 2.466244483969740441701479334808723214802614938081258920635302e-02, + -1.921023447085468984341365278247990525863123891147783426068990e-01, + -4.899511718467173853355943225576377418394280156945986899417475e-02, + 1.452320794752866460838830744051944832326998342053148426312341e-01, + 4.440490819993974022640619534046603571086531544468421519143629e-02, + -1.094561131160893831027722774343269232755171130623890041619420e-01, + -2.962787250844770491204452379051215505049068645551070779367843e-02, + 8.087414063848395744090831590426327690818854671836423275412813e-02, + 1.410615151610660772869738802931740150275269382463799031013905e-02, + -5.692631406247843550478416271158537960555270097953330567652364e-02, + -2.380264464932573834443178362086503847328134994591954135879789e-03, + 3.705145792354468010437633458013030898015496905609424004450953e-02, + -4.145907660827218781460700428862611061267328108653649653634276e-03, + -2.166282283639119347634778516947485598599029367518033869601702e-02, + 6.167527310685675112579059689520105004744367282412921739811164e-03, + 1.101740071540688116532806119564345712473051769079712407908648e-02, + -5.411568257275791208581502410752383050600045942275647685361370e-03, + -4.649216751184411528658094984504900172989190128905887602541396e-03, + 3.627224640687864960122122984391704782343548385375321260251988e-03, + 1.468955100468467772528811782840480639166582822577191079260543e-03, + -1.964740555821778254183647540656746450092725858126595984907304e-03, + -2.211678729579097916278097586914956834196749138610403102772710e-04, + 8.673058518450555343925662389563539890596549655683386287799624e-04, + -1.024537310607396186949656796812972062290796122915930356634122e-04, + -3.059654423826911750479261161552574500739091332121504634422577e-04, + 1.053915461739828114700905192091104141076083602686374410146603e-04, + 8.103678329134838389828091896334156224227821362491626044950428e-05, + -5.259809282684322782648914338377962890245975842272425408122506e-05, + -1.294045779405512723950480259110995722517019870286295908085366e-05, + 1.824268401980691220603850117995712615809177092802967489081228e-05, + -6.361781532260254953363913076575914206506177493714496098327288e-07, + -4.558309576264423135123964145585288808181431652781253437738445e-06, + 1.202889036321620990296134494079846952404216422923750605507047e-06, + 7.560047625595947819392627283726711361273296630256477108501994e-07, + -4.285970693151457255418342315045357407199066350632593899896712e-07, + -5.003361868748230293692887222336390314786090450819216035110269e-08, + 8.965966311957728376981484572655177545054433542721057470726361e-08, + -1.219924359483373093110396748985081720383992859961285213840740e-08, + -1.104383021722648979552131128575075255513372249283096583736746e-08, + 4.250422311980592983740943309197245384991941251563471671065543e-09, + 4.384387799940474369553236949848427579687147486892033587998023e-10, + -5.881091462634605628881794361152305108432139465417759716875076e-10, + 8.904723796221605490455387579189371137903330749397374037644960e-11, + 3.263270741332907875981844980104948375955551273115386408552080e-11, + -1.430918765169202320188022211739750594608742928641485026836608e-11, + 1.075610653501062115165734990153347111902874668945095034791947e-12, + 5.361482229611801638107331379599434078296259332654994508124989e-13, + -1.663800489433402369889818192962259823988673359967722467427927e-13, + 2.000715303810524954375796020597627467104635766752154321244151e-14, + -9.421019139535078421314655362291088223782497046057523323473331e-16 }; + +const double db33[66] = { + 8.186358314175091939858945975190102731733968885547217619434602e-06, + 1.791016153702791479424389068736094134247294413108336017758506e-04, + 1.822709435164084208084617771787691709255513374281497713580568e-03, + 1.139594337458160925830840619716397130445853638888472948832932e-02, + 4.861466653171619508385707681587366397164931431125053574327899e-02, + 1.481863131800528081784673514426737436792606299953305691300616e-01, + 3.267181301177075783930752787756046348844272437670999719562429e-01, + 5.093761725149396552227892926384090200953139820961482931291482e-01, + 5.112547705832674655425831875568453973369927971748064975152374e-01, + 2.095823507130554216526494469993023406452629154801126958766008e-01, + -2.042026223985421049629055102642279430174095014493415546881477e-01, + -3.159974107665602561905181464284910961862968513875028980451424e-01, + -1.927833943695275915600583425408664108893845271616240406358226e-02, + 2.454206121192791114179964351253140999836791489738418857473689e-01, + 9.985155868033815698139640215477639365289384281516885362929979e-02, + -1.714280990518593279308738113273443832545615219650436927029674e-01, + -1.108441331167107910806084983056783194189909198734302929909672e-01, + 1.219678564037346149389134584371009777591763921148126952722200e-01, + 9.478808805061595889263191779090571160237408179346345390888721e-02, + -9.114696835133148913093153757138373418923462847746880902676089e-02, + -7.030248505405615921453280814171665167171986608963193275084895e-02, + 7.019114394099653254998935842432841393915841096633514680190145e-02, + 4.573456189389667743139040427641638967843459421665709740086516e-02, + -5.347125133582228919431110824663168583260050383336359554980188e-02, + -2.524858297747649929258392207837724793937727346177294684700378e-02, + 3.868706076024496481748675031852528047303323816250150793091832e-02, + 1.070326582001954942654534968137727769698168853186071888736311e-02, + -2.572876175473297336123211392278301875687760837710204579628265e-02, + -2.167758617353607324783298657172830203896433848418061622436727e-03, + 1.531695411585766548347442266431874060229304787191589430967538e-02, + -1.594288782414604768637856446111392724059836934455189837500244e-03, + -7.953540387057939240459305406538116220678495240302592677582773e-03, + 2.389062408165908575935815973439728988151836094753689966108405e-03, + 3.480800953405711999411461002429227385937942254778524257436278e-03, + -1.860718214455795912074482150710567824317228203897000129729967e-03, + -1.204309257604658876916644980097327372892008586047095719636829e-03, + 1.074380696351291355073899234941719080473877020595209197706651e-03, + 2.727305847336937211749282358350196461733595290569540045817329e-04, + -4.908329007590351474487792254066540683724948757382104652497458e-04, + 4.393166251766185755059005296958129844094063524324718175254673e-06, + 1.780431898251245351831728023200069586928513661382622116969992e-04, + -4.160438516273709306234368807933932360567787692918883118883736e-05, + -4.929564423417301834310231482621574127409950921583062559483686e-05, + 2.423335398816890365621188379922041046073808819182024026589770e-05, + 9.070805757828453800203677464921508178468256685438211818575040e-06, + -8.866121366757736169176034432364298134186929098274651022820760e-06, + -3.607516102879771631230351118595069330196155459105589342866625e-07, + 2.288371276141527305481395545993763010565968667577768164201792e-06, + -4.426923407952870147984002129341809185622768353983550670755106e-07, + -3.985791291985944076942626511739220753169387460984290019185514e-07, + 1.822443332571053437467128998002798233969112236553215291639303e-07, + 3.377972703730854377516206663481869099376154259897212784144779e-08, + -3.987838198518880722819502850814936369197384392561970319349663e-08, + 3.672863576838181340505563759379169099717712645283448779390320e-09, + 5.111211857347453839549366593998758891130921028374576213256027e-09, + -1.671392677251932495173219614104411841891545601521784559793012e-09, + -2.496402105246193648073519269370197331176405371538404298745013e-10, + 2.426833102305682309891302883361232297664099485514601790344279e-10, + -3.049574453945863430361296931455141500128170151643206937547928e-11, + -1.420236859889936792437077844940412749343225644487770840543290e-11, + 5.509414720765524548752673631197714447818740985929081064907524e-12, + -3.343481218953278765982532722689984725170758193566174566492199e-13, + -2.152488386833302618520603545685994753329478275805993737095214e-13, + 6.214740247174398315576214699577230693021307854673557214652751e-14, + -7.196510545363322414033654470779070592316600780697558361083151e-15, + 3.289373678416306368625564108782095644036415401902518812978798e-16 }; + +const double db34[68] = { + 5.770510632730285627466067796809329117324708919047900817738025e-06, + 1.299476200679530037833484815390569400369432658207722720405084e-04, + 1.364061390059049998200014449396877439591680435610837369411339e-03, + 8.819889403884978803182764563095879335330977939541630862804757e-03, + 3.904884135178594138905026219591569204043816577941517019631916e-02, + 1.241524821113768081954449898210969172708199672428635378051285e-01, + 2.877650592337145629334256618087718872558560120999651277991839e-01, + 4.784787462793710621468610706120519466268010329031345843336104e-01, + 5.305550996564631773133260223990794445605699030503652382795600e-01, + 2.903663295072749510455945186199530115755664977934564128822650e-01, + -1.282468421744371672912377747048558427612774932943748628650824e-01, + -3.315253015083869417715548463087537345035828886426345397256876e-01, + -1.038919155156404718287260506925867970596448618647006698388596e-01, + 2.169072201874275950610018667099322465619408030256534197819784e-01, + 1.666017504122074437311574334509261366682993700573488534577890e-01, + -1.273373582238011562843862636988693890108793629966541695807247e-01, + -1.609249271778668063014799490429649196614628857267382976958607e-01, + 7.799184693794810738265349531832015087096882277333968473726399e-02, + 1.341259602711361284802399913977387999358280900708582462625539e-01, + -5.448296806413904636632671383140642554265865948686157271017286e-02, + -1.029475969928140852342073823689090498245496056845473569066667e-01, + 4.357609464963129726428486610925800727137724136370669421246609e-02, + 7.318523543679560555546221335452045680757998947493883124934567e-02, + -3.701283841786244960356402125554190040750079009127461655784927e-02, + -4.743855964527776247220681410983851377889756018716427358008296e-02, + 3.073974657395934459931226513844134346305562928466993208164603e-02, + 2.722835075635419610095839895805858855202745897718117731496534e-02, + -2.367173792282636485046786438094940427456079528043555566867110e-02, + -1.314398001665716086105827506126287041342680578404007359439612e-02, + 1.640937419986519252112261495537409592363156309874473310057471e-02, + 4.713649260999809905918876125437488856235874027077755004539205e-03, + -1.004550670836151917439146861146431000364858401181337134891421e-02, + -6.194748845153872839014356621835501857322345445234809347431098e-04, + 5.334950768759936032170270195983921511565539100791906952901398e-03, + -7.692127975067836975989490900561029844887285335804349474993607e-04, + -2.399453943537055863933124827688081952701780599883067560501870e-03, + 8.589959874363661955444898475746536583497522107459291718900058e-04, + 8.751999064078688732610570055224339733760304773327228476255647e-04, + -5.527355762144197975516415296735124460550632283763688359649888e-04, + -2.326732140233531635428863212833942245597361085708567528230733e-04, + 2.650772397558057819755811309071002543822145660933016957735937e-04, + 2.660050018453441903046828468025589086403126180798464347801678e-05, + -9.914697770780134603580350758869378471802751837608461971022567e-05, + 1.353117227249649581251887376414486225127346352042209141315562e-05, + 2.844951419697807376503080001943765930601242225183893658540032e-05, + -1.057657494257950623848316304755218120233253479317574337409622e-05, + -5.710826510998303938275050074333400305512451419983646591762318e-06, + 4.169871758547028398316761659984928804362023643629741358799744e-06, + 4.979718101421307748081857636471761057429219265531618602960147e-07, + -1.116306534817008428597995070751765080383261658112656948526954e-06, + 1.448195708333185127061180618150009526758658641231104901703561e-07, + 2.025990666667859216690536885693725545344933235432307649205497e-07, + -7.526701740412589411177481797841044281662555785969415398369019e-08, + -1.990346501531736915866180448337614967570744211158241514589121e-08, + 1.740423332936068076497051274445147160190783847854409836489662e-08, + -8.665744261368722215864741166245385888818567571145958531936939e-10, + -2.316501946995482751582294240136010067415084499025753117941001e-09, + 6.446378210323402313101214894500231181606520211579581132442548e-10, + 1.300410318609415248880403259300467720631189120978928377152233e-10, + -9.904774537632409015479530333979124540183199174591377762845227e-11, + 1.004208735461769864836516428998306778031143650101842361622330e-11, + 6.080125354000167254059025929915591291115751734288584563131636e-12, + -2.107879108915301546285370395443778864676275235126044599683271e-12, + 9.799451158211597727901178520526388692140586041163624252991805e-14, + 8.579194051799733179793112298652600511486581216528683482143106e-14, + -2.317083703906408481078257081903089523234020423092175261925515e-14, + 2.587338381935699555813538163144986688834142571207152879144731e-15, + -1.148944754480590128244815794312606245147888158018823490936280e-16 }; + +const double db35[70] = { + 4.067934061148559026665247110206084571051201477121972612218005e-06, + 9.421469475576740631603027533116630224451049736050903361458759e-05, + 1.019122680375098109319314672751485080202557607467199213778085e-03, + 6.807292884319132011971333979015625113494050642797397817625326e-03, + 3.123628851149071453063391210769353068187088999495893257051179e-02, + 1.034044558614783789938787754929279183985553322796063517049140e-01, + 2.513073789944933128513251971488905042866779761014740192816902e-01, + 4.435927392240354378183910489448494594782039032807956294826105e-01, + 5.370084275091661028670690231716974547580034932361053607723887e-01, + 3.603456405180473278744458573988718422538114217890792270621563e-01, + -4.388388187393404111343479394097224312100349011932028865098625e-02, + -3.238228649121161212147302807993176715625480327235512530593160e-01, + -1.817869767667278325788350264528191676841493369460849123538616e-01, + 1.660413574907809195438433327470947940538097914525298064477785e-01, + 2.172992893210892977675493456199559114036326358517672106972956e-01, + -6.526287131067753892154895911331108284007380738865652420304233e-02, + -1.919195892985939528760786800798636198516495957924798820500876e-01, + 1.930954466601835091947734585938109944647435243484967057775110e-02, + 1.552924803962371144206753760712566993987319378965231186477630e-01, + -4.752680834111350445288110998030979143710864689041902167119118e-03, + -1.205855226433935545076589480704957722635324456812322150437989e-01, + 4.734229172641948763293980314992213293971770695480616789828384e-03, + 8.991354757072954417865374195261962983644048998218233900481856e-02, + -9.318558949903924837875002823617504227246562152671894579504378e-03, + -6.335603744044346612098887534020545705731671718057964802006671e-02, + 1.322854958503655524455929847605110719648746890497356808289302e-02, + 4.125469306470509212749750814299126656151504805845417994651417e-02, + -1.436683978422007182104025173214012797788904894291716373493525e-02, + -2.416949780166026740294880681731084091264533168816746227537030e-02, + 1.276645671565674419403918018742432714973656598227939824940035e-02, + 1.228943600811871086161967625814297050611100200023898377949151e-02, + -9.577797899235709998147309703713518608283233882793489733491642e-03, + -5.085991649233429881797636583578921194675393807761154549733547e-03, + 6.137754586740521089596801883631921221145712545042519987641234e-03, + 1.428088794070762107355585870669842132609159040625895090070111e-03, + -3.357644380922383229567732565298665639037348585961127075507937e-03, + 7.615969435172736546769649923895317451534703066016116257300160e-06, + 1.549637469702362975561719246539787717204438637997824935787688e-03, + -3.346692164250854961608526121524596908041109918361306282201310e-04, + -5.864810318991817532175809224131456738367101035694188223408841e-04, + 2.648328819961289039302810122699710966048565368047575218693134e-04, + 1.700012283661249043584690194716767771204207742625746308522935e-04, + -1.365883072261161602559926714744746422567509177443594045709653e-04, + -2.976995962848509743944225866488519668585242655980656646544319e-05, + 5.304143122913310222538317980686374696005605533475685587486683e-05, + -2.437001526827789860990429478540556752694389693432668831073769e-06, + -1.572442077270281693663288966405861215692805972737981986121447e-05, + 4.308047861716731191350493437937513220737450410132878032163179e-06, + 3.353345862871309889390877168046133657377105681618708355266688e-06, + -1.895929617693153288493891051875444439753318548105998166574535e-06, + -3.903931733287306166657519468494511920760767388397825775326745e-07, + 5.302368616904760917074352633915743250769600635829229600812520e-07, + -3.700308378205124537986402644918879149894035910106489082512364e-08, + -9.990396944534900755781728477561240762191443422318249128866740e-08, + 3.008188650719066928230268918661718274504955045022550217051301e-08, + 1.084902733789934825266560240100449884702749303326571747323086e-08, + -7.458116552893037631192407611262788593505988638365840409367117e-09, + 5.897951310384361575470355861162022501172491937837712969865619e-11, + 1.030823345485433383811700481488557422005210168069163779730908e-09, + -2.433545573751672936168877250405940817227367937230289801251648e-10, + -6.407938256501889018430608323235974406219193176918284664973727e-11, + 4.000536627253744510742788201354093006471710416671002244302586e-11, + -3.125639357108557540598098228678150768528121565391376265627294e-12, + -2.567065476155081449204643852428401530283519685638256074752850e-12, + 8.015088533687900921948605418789324826115616416343391081288979e-13, + -2.597954328893848084315198205094389145706680129208998638802995e-14, + -3.397720856796267431956783825659069596940335130100871912329556e-14, + 8.624037434720089202680337663692777682810714650060805832406135e-15, + -9.298012529324185420921555664719863501848315099116725184370339e-16, + 4.014628712333488654318569164614220308046021091178184654250982e-17 }; + +const double db36[72] = { + 2.867925182755946334630479473029238615535511775894262711054705e-06, + 6.826028678546358691748629102209605362240344266505035981791715e-05, + 7.602151099668488285869792677106082100141275054892389379198545e-04, + 5.240297377409884366201603524392995696042174937194435235003941e-03, + 2.489056564482796484885927333959115579403023347044729739255255e-02, + 8.565209259526409083864716995521111486437594750377856524772704e-02, + 2.177569530979008149637945915719999746248969705650625533415876e-01, + 4.064336977082553467407793990250384445903151630768558142125382e-01, + 5.322668952607286914777444748641462027213554723153906901129337e-01, + 4.178753356009697863620634559374236455222275302996931178265919e-01, + 4.397519752934862993862182898358763783110745559238982179690132e-02, + -2.944210395891145711100715969898758940722458887377844633443675e-01, + -2.468070369781255270524798278622698446566520718230313889086016e-01, + 9.811420416311477050518401371401568038943437322299913514049728e-02, + 2.465372776089742110529709111809595434656418762898152706621356e-01, + 7.278515095792229009687682299460382878643139026668958884429641e-03, + -1.993372056086496198603363400094784142714162256792182570541036e-01, + -4.586140074639271639145126228774831743002971373998329604574394e-02, + 1.541062366276428841776316300420654875883842819413623395358262e-01, + 5.027618007353842862036816972809884096761706036019748316890913e-02, + -1.188037543101356316801816931383547446073152951044444224449501e-01, + -3.988085357551317584091699967924044034100374257075864260934102e-02, + 9.115678225801654406336059281306715151058903055370522031843771e-02, + 2.503872144956848989919484296709846860569180993040383621980546e-02, + -6.820901663681751124880436344265538690580358108714540763125119e-02, + -1.131910031681742794381808082173695022123056280821611354577883e-02, + 4.851308354780908538616267662315735632292989749013261207046367e-02, + 1.424972661765391603147802607378542396323429657660009755652404e-03, + -3.198072067763969654470293513742344601172739688274251641873778e-02, + 3.984040198717004857397179486790082321314291366656151213429068e-03, + 1.906359478062535932877576164368198274858108513696832728889209e-02, + -5.657813245058818380424016973516714570499161434975761798379020e-03, + -9.990263473281372348001743806489172665465685056975652497503772e-03, + 5.022989106665829004699819220796538830393945994687289792465541e-03, + 4.413484835350575251918616780287775585471012556848037301025999e-03, + -3.484541445404883311209541395428535732697661971818727286003028e-03, + -1.503074066296643749549363655363411879858070202740814054964603e-03, + 1.990793771851737270404293245701878186600899439513475823305914e-03, + 2.776812795712026068152384207605140383490242756921936501940389e-04, + -9.463403823261101964604918059447913047725482130063492242779878e-04, + 8.614565758992702032613879159402330909634737204578606399403107e-05, + 3.693507284967510502620040341882236687749563414433432842567511e-04, + -1.155118895843527096848376999413102395191976350936666573818799e-04, + -1.131899468084665671727391922924411467938450743565106978099456e-04, + 6.694741196930590257104231749283786251555566773398199990337698e-05, + 2.375106683660860777161950832380341362257503761490580896617678e-05, + -2.731390824654337912922346414722045404779935825834384250023192e-05, + -1.183471059985615942783182762352360917304348034947412986608322e-06, + 8.372218198160788432628056043217491552198857358432112275253310e-06, + -1.586145782434577495502614631566211839722879492827911790709498e-06, + -1.870811602859180713762972281154953528056257451900381097476968e-06, + 8.311421279707778528163597405935375886855029592150424544500718e-07, + 2.548423522556577831218519052844387478819866531902854523544709e-07, + -2.455377658434232699135878286794578515387138194247693201846263e-07, + 2.753249073339512254085076456700241929492720457889076058451072e-09, + 4.799043465450992009934526867650497683545716858606119786327559e-08, + -1.156093688817008406756913949175208452083765368825442482226093e-08, + -5.612784343327791397474114357094368557982413895802980814813369e-09, + 3.138841695782424018351567952158415003571380699236147752239001e-09, + 1.090815553713751810964713058800448676068475673611349566405716e-10, + -4.512545778563249634425200856088490195004077806062978067796020e-10, + 8.962418203859611987065968320295929679774693465791367610044773e-11, + 3.037429098112535221800013609576297196061786927734556635696416e-11, + -1.599716689261357143200396922409448515398648489795044468046420e-11, + 8.876846287217374213524399682895564055949886050748321818411161e-13, + 1.070969357114017002424433471621197579059927261727846375968378e-12, + -3.029285026974877268896134589769473854669758797446795757329862e-13, + 5.542263182639804235231685861028995158694397223907295269180336e-15, + 1.338071386299105896025578761458472955294763310766371178363783e-14, + -3.204628543401749860439316638848579711789176444320134355253750e-15, + 3.339971984818693213132578777712503670014459411167839211495237e-16, + -1.403274175373190617489823209168013922564353495443487431242610e-17 }; + +const double db37[74] = { + 2.022060862498392121815038335333633351464174415618614893795880e-06, + 4.942343750628132004714286117434454499485737947791397867195910e-05, + 5.662418377066724013768394373249439163518654840493603575144737e-04, + 4.024140368257286770702140124893772447952256842478891548092703e-03, + 1.976228615387959153244055502205017461538589475705618414896893e-02, + 7.058482597718160832030361890793007659963483925312132741868671e-02, + 1.873263318620649448028843491747601576761901656888288838192023e-01, + 3.684409724003061409445838616964941132670287724754729425204047e-01, + 5.181670408556228873104519667534437205387109579265718071174178e-01, + 4.622075536616057145505448401528172070050768534504278694229363e-01, + 1.308789632330201726057701201017649601034381070893275586898075e-01, + -2.461804297610834132869018581145720710365433914584680691693717e-01, + -2.943759152626617722808219575932673733674290772235644691367427e-01, + 1.967150045235938977077768648740052380288156507222647187301894e-02, + 2.515232543602686933435224095078166291442923992611593827552710e-01, + 8.180602838721862339029076982652411696000045533716726027662147e-02, + -1.819622917786080007408824256525225216444443143868752611284260e-01, + -1.084517138233017845554078812341876568514835176341639783558543e-01, + 1.299296469598537527842528895259188653120602318620944502979726e-01, + 1.017802968388141797470948228505865617480048287983176581607964e-01, + -9.660754061668439030915405045955772715988585374771282291315496e-02, + -8.233021190655740867404073660920379414988302492018783774702028e-02, + 7.504761994836017933579005072594245435071674452882148228583865e-02, + 5.956741087152995245435589042520108066877114768216272503684398e-02, + -5.925681563265897095153806724965924334077555174281436189512239e-02, + -3.825382947938424882011108885090442116802994193611884738133373e-02, + 4.580794415126833246633256156110381805848138158784734496981778e-02, + 2.097280059259754883313769469036393294461497749083921162354229e-02, + -3.352358406410096994358662875913243067234786296009238949920582e-02, + -8.833493890410232394064187990625563257107429109130726291528648e-03, + 2.261865154459947356571431658958802912061105608212828675323452e-02, + 1.690472383484423743663952859090705636512807161536954018400081e-03, + -1.376398196289478433857985486097070339786225136728067000591187e-02, + 1.519305778833399218481261844599507408563295102235964076544334e-03, + 7.387757452855583640107787619408806919082115520707105052944171e-03, + -2.248053187003824706127276829147166466869908326245810952521710e-03, + -3.394523276408398601988475786247462646314228994098320665709345e-03, + 1.816871343801423525477184531347879515909226877688306010517914e-03, + 1.263934258117477182626760951047019242187910977671449470318766e-03, + -1.111484865318630197259018233162929628309920117691177260742614e-03, + -3.280788470880198419407186455190899535706232295554613820907245e-04, + 5.490532773373631230219769273898345809368332716288071475378651e-04, + 1.534439023195503211083338679106161291342621676983096723309776e-05, + -2.208944032455493852493630802748509781675182699536797043565515e-04, + 4.336726125945695214852398433524024058216834313839357806404424e-05, + 7.055138782065465075838703109997365141906130284669094131032488e-05, + -3.098662927619930052417611453170793938796310141219293329658062e-05, + -1.639162496160583099236044020495877311072716199713679670940295e-05, + 1.354327718416781810683349121150634031343717637827354228989989e-05, + 1.849945003115590390789683032647334516600314304175482456338006e-06, + -4.309941556597092389020622638271988877959028012481278949268461e-06, + 4.854731396996411681769911684430785681028852413859386141424939e-07, + 1.002121399297177629772998172241869405763288457224082581829033e-06, + -3.494948603445727645895194867933547164628229076947330682199174e-07, + -1.509885388671583553484927666148474078148724554849968758642331e-07, + 1.109031232216439389999036327867142640916239658806376290861690e-07, + 5.350657515461434290618742656970344024396382191417247602674540e-09, + -2.252193836724805775389816424695618411834716065179297102428180e-08, + 4.224485706362419268050011630338101126995607958955688879525896e-09, + 2.793974465953982659829387370821677112004867350709951380622807e-09, + -1.297205001469435139867686007585972538983682739297235604327668e-09, + -1.031411129096974965677950646498153071722880698222864687038596e-10, + 1.946164894082315021308714557636277980079559327508927751052218e-10, + -3.203398244123241367987902201268363088933939831689591684670080e-11, + -1.398415715537641487959551682557483348661602836709278513081908e-11, + 6.334955440973913249611879065201632922100533284261000819747915e-12, + -2.096363194234800541614775742755555713279549381264881030843258e-13, + -4.421612409872105367333572734854401373201808896976552663098518e-13, + 1.138052830921439682522395208295427884729893377395129205716662e-13, + -4.518889607463726394454509623712773172513778367070839294449849e-16, + -5.243025691884205832260354503748325334301994904062750850180233e-15, + 1.189012387508252879928637969242590755033933791160383262132698e-15, + -1.199280335852879554967035114674445327319437557227036460257649e-16, + 4.906615064935203694857690087429901193139905690549533773201453e-18 }; + +const double db38[76] = { + 1.425776641674131672055420247567865803211784397464191115245081e-06, + 3.576251994264023012742569014888876217958307227940126418281357e-05, + 4.211702664727116432247014444906469155300573201130549739553848e-04, + 3.083088119253751774288740090262741910177322520624582862578292e-03, + 1.563724934757215617277490102724080070486270026632620664785632e-02, + 5.788994361285925649727664279317241952513246287766481213301801e-02, + 1.600719935641106973482800861166599685169395465055048951307626e-01, + 3.307757814110146511493637534404611754800768677041577030757306e-01, + 4.965911753117180976599171147718708939352414838951726087564419e-01, + 4.933560785171007975728485346997317064969513623594359091115804e-01, + 2.130505713555785138286743353458562451255624665951160445122307e-01, + -1.828676677083358907975548507946239135218223185041410632924815e-01, + -3.216756378089978628483471725406916361929841940528189059002548e-01, + -6.226650604782432226643360160478765847565862101045597180310490e-02, + 2.321259638353531085028708104285994998671615563662858079262996e-01, + 1.499851196187170199586403453788927307298226028262603028635758e-01, + -1.417956859730596216710053144522330276392591055375830654519080e-01, + -1.599125651582443618288533214523534937804208844386102639177693e-01, + 8.563812155615105741612217814369165313487129645536001850276987e-02, + 1.414147340733826800884683119379170594092606174915755283496153e-01, + -5.658645863072738145681787657843320646815509410635114234947902e-02, + -1.147311707107443752394144019458942779715665489230169950201022e-01, + 4.309589543304764288137871223616030624246568683595408792078602e-02, + 8.720439826203975011910714164154456762073786124233088471855868e-02, + -3.660510340287429567372071039506772372567938710943432838908247e-02, + -6.176620870841315993604736705613246241897497782373337911398117e-02, + 3.198987753153780630818381136366859026137035450576631134176875e-02, + 4.005498110511594820952087086241114309038577379366732959648548e-02, + -2.689149388089451438550851767715967313417890393287236700072071e-02, + -2.311413402054931680856913553585621248925303865540203357180768e-02, + 2.090464525565524340215982365351342094670261491526831672682244e-02, + 1.129049727868596484270081487761544232851115891449843967151657e-02, + -1.470188206539868213708986402816605045648481224662435114088245e-02, + -4.131306656031089274123231103326745723188134548520938157995702e-03, + 9.214785032197180512031534870181734003522861645903894504302286e-03, + 5.625715748403532005741565594881148757066703437214522101740941e-04, + -5.071314509218348093935061417505663002006821323958752649640329e-03, + 7.169821821064019257784165364894915621888541496773370435889585e-04, + 2.400697781890973183892306914082592143984140550210130139535193e-03, + -8.448626665537775009068937851465856973251363010924003314643612e-04, + -9.424614077227377964015942271780098283910230639908018778588910e-04, + 5.810759750532863662020321063678196633409555706981476723988312e-04, + 2.817639250380670746018048967535608190123523180612961062603672e-04, + -3.031020460726611993600629020329784682496477106470427787747855e-04, + -4.555682696668420274688683005987764360677217149927938344795290e-05, + 1.262043350166170705382346537131817701361522387904917335958705e-04, + -1.155409103833717192628479047983460953381959342642374175822863e-05, + -4.175141648540397797296325065775711309197411926289412468280801e-05, + 1.334176149921350382547503457286060922218070031330137601427324e-05, + 1.037359184045599795632258335010065103524959844966094870217687e-05, + -6.456730428469619160379910439617575420986972394137121953806236e-06, + -1.550844350118602575853380148525912999401292473185534395740371e-06, + 2.149960269939665207789548199790770596890252405076394885606038e-06, + -8.487087586072593071869805266089426629606479876982221840833098e-08, + -5.187733738874144426008474683378542368066310000602823096009187e-07, + 1.396377545508355481227961581059961184519872502493462010264633e-07, + 8.400351046895965526933587176781279507953080669259318722910523e-08, + -4.884757937459286762082185411608763964041010392101914854918157e-08, + -5.424274800287298511126684174854414928447521710664476410973981e-09, + 1.034704539274858480924046490952803937328239537222908159451039e-08, + -1.436329487795135706854539856979275911183628476521636251660849e-09, + -1.349197753983448821850381770889786301246741304307934955997111e-09, + 5.261132557357598494535766638772624572100332209198979659077082e-10, + 6.732336490189308685740626964182623159759767536724844030164551e-11, + -8.278256522538134727330692938158991115335384611795874767521731e-11, + 1.101692934599454551150832622160224231280195362919498540913658e-11, + 6.291537317039508581580913620859140835852886308989584198166174e-12, + -2.484789237563642857043361214502760723611468591833262675852242e-12, + 2.626496504065252070488282876470525379851429538389481576454618e-14, + 1.808661236274530582267084846343959377085922019067808145635263e-13, + -4.249817819571463006966616371554206572863122562744916796556474e-14, + -4.563397162127373109101691643047923747796563449194075621854491e-16, + 2.045099676788988907802272564402310095398641092819367167252952e-15, + -4.405307042483461342449027139838301611006835285455050155842865e-16, + 4.304596839558790016251867477122791508849697688058169053134463e-17, + -1.716152451088744188732404281737964277713026087224248235541071e-18 }; + +int filtlength(const char* name) { + int len = strlen(name); + int i = 0; + char *new_str = NULL; + int N = 0; if (!strcmp(name,"haar") || !strcmp(name,"db1")) { return 2; } - else if (!strcmp(name,"db2")){ - return 4; - } - else if (!strcmp(name,"db3")){ - return 6; - } - else if (!strcmp(name,"db4")){ - return 8; - } - else if (!strcmp(name,"db5")){ - return 10; - } - else if (!strcmp(name,"db6")){ - return 12; - } - else if (!strcmp(name,"db7")){ - return 14; - } - else if (!strcmp(name,"db8")){ - return 16; - } - else if (!strcmp(name,"db9")){ - return 18; - } + else if (len > 2 && strstr(name, "db") != NULL) + { + new_str = malloc(sizeof(char)*(len-2 + 1)); + for (i = 2; i < len + 1; i++) + new_str[i - 2] = name[i]; - else if (!strcmp(name,"db10")){ - return 20; - } + N = atoi(new_str); + free(new_str); + if (N>38) + { + printf("\n Filter Not in Database \n"); + return -1; + } - else if (!strcmp(name,"db12")){ - return 24; - } - else if (!strcmp(name,"db13")){ - return 26; - } - - else if (!strcmp(name,"db11")){ - return 22; - } - - else if (!strcmp(name,"db14")){ - return 28; - } - else if (!strcmp(name,"db15")){ - return 30; - } + return N * 2; + } else if (!strcmp(name,"bior1.1")){ return 2; } @@ -159,1120 +1725,358 @@ int filtlength(char* name) { return -1; } - return 0; } -int filtcoef(char* name, double *lp1, double *hp1, double *lp2, double *hp2) { - int i; +void copy_reverse(const double *in, int N,double *out) +{ + int count = 0; + for (count = 0; count < N; count++) + out[count] = in[N - count - 1]; +} + +void qmf_wrev(const double *in, int N, double *out) +{ + int count = 0; + double *sigOutTemp; + sigOutTemp = malloc(N*sizeof(double)); + + qmf_even(in, N, sigOutTemp); + copy_reverse(sigOutTemp, N, out); + + free(sigOutTemp); + return; +} + +void qmf_even(const double *in, int N,double *out) +{ + int count = 0; + for (count = 0; count < N; count++) + { + out[count] = in[N - count - 1]; + if (count % 2 != 0) + { + out[count] = -1 * out[count]; + } + } +} +void copy(const double *in, int N, double *out) +{ + int count = 0; + for (count = 0; count < N; count++) + out[count] = in[count]; +} + +int filtcoef(const char* name, double *lp1, double *hp1, double *lp2, double *hp2) { + int i = 0; + int N = filtlength(name); if (!strcmp(name,"haar") || !strcmp(name,"db1")) { - double lp1_a[] = { 0.7071067811865475, 0.7071067811865475 }; - double hp1_a[] = { -0.7071067811865475, 0.7071067811865475 }; - double lp2_a[] = { 0.7071067811865475, 0.7071067811865475 }; - double hp2_a[] = { 0.7071067811865475, -0.7071067811865475 }; - for (i = 0; i < 2; ++i) { - lp1[i] = lp1_a[i]; - hp1[i] = hp1_a[i]; - lp2[i] = lp2_a[i]; - hp2[i] = hp2_a[i]; - } - return 2; + copy_reverse(db1, N, lp1); + qmf_wrev(db1, N, hp1); + copy(db1, N, lp2); + qmf_even(db1, N, hp2); + + return N; } else if (!strcmp(name,"db2")){ - double lp1_a[] = { -0.12940952255092145, 0.22414386804185735, 0.83651630373746899, - 0.48296291314469025 }; + copy_reverse(db2, N, lp1); + qmf_wrev(db2, N, hp1); + copy(db2, N, lp2); + qmf_even(db2, N, hp2); - double hp1_a[] = { -0.48296291314469025, 0.83651630373746899, -0.22414386804185735, - -0.12940952255092145 }; - - double lp2_a[] = { 0.48296291314469025, 0.83651630373746899, 0.22414386804185735, - -0.12940952255092145 }; - - double hp2_a[] = { -0.12940952255092145, -0.22414386804185735, 0.83651630373746899, - -0.48296291314469025 }; - for (i = 0; i < 4; ++i) { - lp1[i] = lp1_a[i]; - hp1[i] = hp1_a[i]; - lp2[i] = lp2_a[i]; - hp2[i] = hp2_a[i]; - } - return 4; + return N; } else if (!strcmp(name,"db3")){ - double lp1_a[] = { 0.035226291882100656, -0.085441273882241486, -0.13501102001039084, - 0.45987750211933132, 0.80689150931333875, 0.33267055295095688 }; + copy_reverse(db3, N, lp1); + qmf_wrev(db3, N, hp1); + copy(db3, N, lp2); + qmf_even(db3, N, hp2); - double hp1_a[] = { -0.33267055295095688, 0.80689150931333875, -0.45987750211933132, - -0.13501102001039084, 0.085441273882241486, 0.035226291882100656 }; - - double lp2_a[] = { 0.33267055295095688, 0.80689150931333875, 0.45987750211933132, - -0.13501102001039084, -0.085441273882241486, 0.035226291882100656 }; - - double hp2_a[] = { 0.035226291882100656, 0.085441273882241486, -0.13501102001039084, - -0.45987750211933132, 0.80689150931333875, -0.33267055295095688 }; - for (i = 0; i < 6; ++i) { - lp1[i] = lp1_a[i]; - hp1[i] = hp1_a[i]; - lp2[i] = lp2_a[i]; - hp2[i] = hp2_a[i]; - } - return 6; + return N; } else if (!strcmp(name,"db4")){ - double lp1_a[] = { -0.010597401784997278, 0.032883011666982945, 0.030841381835986965, - -0.18703481171888114, -0.027983769416983849, 0.63088076792959036, - 0.71484657055254153, 0.23037781330885523 }; + copy_reverse(db4, N, lp1); + qmf_wrev(db4, N, hp1); + copy(db4, N, lp2); + qmf_even(db4, N, hp2); - double hp1_a[] = { -0.23037781330885523, 0.71484657055254153, -0.63088076792959036, - -0.027983769416983849, 0.18703481171888114, 0.030841381835986965, - -0.032883011666982945, -0.010597401784997278 }; - - double lp2_a[] = { 0.23037781330885523, 0.71484657055254153, 0.63088076792959036, - -0.027983769416983849, -0.18703481171888114, 0.030841381835986965, - 0.032883011666982945, -0.010597401784997278 }; - - double hp2_a[] = { -0.010597401784997278, -0.032883011666982945, 0.030841381835986965, - 0.18703481171888114, -0.027983769416983849, -0.63088076792959036, - 0.71484657055254153, -0.23037781330885523 }; - for (i = 0; i < 8; ++i) { - lp1[i] = lp1_a[i]; - hp1[i] = hp1_a[i]; - lp2[i] = lp2_a[i]; - hp2[i] = hp2_a[i]; - } - return 8; + return N; } else if (!strcmp(name,"db5")){ - double lp1_a[] = { 0.0033357252850015492, -0.012580751999015526, -0.0062414902130117052, - 0.077571493840065148, -0.03224486958502952, -0.24229488706619015, - 0.13842814590110342, 0.72430852843857441, 0.60382926979747287, - 0.16010239797412501 }; + copy_reverse(db5, N, lp1); + qmf_wrev(db5, N, hp1); + copy(db5, N, lp2); + qmf_even(db5, N, hp2); - double hp1_a[] = { -0.16010239797412501, 0.60382926979747287, -0.72430852843857441, - 0.13842814590110342, 0.24229488706619015, -0.03224486958502952, - -0.077571493840065148, -0.0062414902130117052, 0.012580751999015526, - 0.0033357252850015492 }; - - double lp2_a[] = { 0.16010239797412501, 0.60382926979747287, 0.72430852843857441, - 0.13842814590110342, -0.24229488706619015, -0.03224486958502952, - 0.077571493840065148, -0.0062414902130117052, -0.012580751999015526, - 0.0033357252850015492 }; - - double hp2_a[] = { 0.0033357252850015492, 0.012580751999015526, -0.0062414902130117052, - -0.077571493840065148, -0.03224486958502952, 0.24229488706619015, - 0.13842814590110342, -0.72430852843857441, 0.60382926979747287, - -0.16010239797412501 }; - for (i = 0; i < 10; ++i) { - lp1[i] = lp1_a[i]; - hp1[i] = hp1_a[i]; - lp2[i] = lp2_a[i]; - hp2[i] = hp2_a[i]; - } - return 10; + return N; } else if (!strcmp(name,"db6")){ - double lp1_a[] = { -0.0010773010849955799, - 0.0047772575110106514, - 0.0005538422009938016, - -0.031582039318031156, - 0.027522865530016288, - 0.097501605587079362, - -0.12976686756709563, - -0.22626469396516913, - 0.3152503517092432, - 0.75113390802157753, - 0.49462389039838539, - 0.11154074335008017 - }; + copy_reverse(db6, N, lp1); + qmf_wrev(db6, N, hp1); + copy(db6, N, lp2); + qmf_even(db6, N, hp2); - double hp1_a[] = { -0.11154074335008017, - 0.49462389039838539, - -0.75113390802157753, - 0.3152503517092432, - 0.22626469396516913, - -0.12976686756709563, - -0.097501605587079362, - 0.027522865530016288, - 0.031582039318031156, - 0.0005538422009938016, - -0.0047772575110106514, - -0.0010773010849955799 - }; - - double lp2_a[] = { 0.11154074335008017, - 0.49462389039838539, - 0.75113390802157753, - 0.3152503517092432, - -0.22626469396516913, - -0.12976686756709563, - 0.097501605587079362, - 0.027522865530016288, - -0.031582039318031156, - 0.0005538422009938016, - 0.0047772575110106514, - -0.0010773010849955799 - }; - - double hp2_a[] = { -0.0010773010849955799, - -0.0047772575110106514, - 0.0005538422009938016, - 0.031582039318031156, - 0.027522865530016288, - -0.097501605587079362, - -0.12976686756709563, - 0.22626469396516913, - 0.3152503517092432, - -0.75113390802157753, - 0.49462389039838539, - -0.11154074335008017 - }; - for (i = 0; i < 12; ++i) { - lp1[i] = lp1_a[i]; - hp1[i] = hp1_a[i]; - lp2[i] = lp2_a[i]; - hp2[i] = hp2_a[i]; - } - return 12; + return N; } else if (!strcmp(name,"db7")){ - double lp1_a[] = { 0.00035371380000103988, - -0.0018016407039998328, - 0.00042957797300470274, - 0.012550998556013784, - -0.01657454163101562, - -0.038029936935034633, - 0.080612609151065898, - 0.071309219267050042, - -0.22403618499416572, - -0.14390600392910627, - 0.4697822874053586, - 0.72913209084655506, - 0.39653931948230575, - 0.077852054085062364 - }; + copy_reverse(db7, N, lp1); + qmf_wrev(db7, N, hp1); + copy(db7, N, lp2); + qmf_even(db7, N, hp2); - double hp1_a[] = { -0.077852054085062364, - 0.39653931948230575, - -0.72913209084655506, - 0.4697822874053586, - 0.14390600392910627, - -0.22403618499416572, - -0.071309219267050042, - 0.080612609151065898, - 0.038029936935034633, - -0.01657454163101562, - -0.012550998556013784, - 0.0004295779730047027, - 0.0018016407039998328, - 0.00035371380000103988 - }; - - double lp2_a[] = { 0.077852054085062364, - 0.39653931948230575, - 0.72913209084655506, - 0.4697822874053586, - -0.14390600392910627, - -0.22403618499416572, - 0.071309219267050042, - 0.080612609151065898, - -0.038029936935034633, - -0.01657454163101562, - 0.012550998556013784, - 0.00042957797300470274, - -0.0018016407039998328, - 0.00035371380000103988 - }; - - double hp2_a[] = { 0.00035371380000103988, - 0.0018016407039998328, - 0.00042957797300470274, - -0.01255099855601378, - -0.01657454163101562, - 0.038029936935034633, - 0.080612609151065898, - -0.071309219267050042, - -0.22403618499416572, - 0.14390600392910627, - 0.4697822874053586, - -0.72913209084655506, - 0.39653931948230575, - -0.077852054085062364 - }; - for (i = 0; i < 14; ++i) { - lp1[i] = lp1_a[i]; - hp1[i] = hp1_a[i]; - lp2[i] = lp2_a[i]; - hp2[i] = hp2_a[i]; - } - return 14; + return N; } else if (!strcmp(name,"db8")){ - double lp1_a[] = { -0.00011747678400228192, - 0.00067544940599855677, - -0.00039174037299597711, - -0.0048703529930106603, - 0.0087460940470156547, - 0.013981027917015516, - -0.044088253931064719, - -0.017369301002022108, - 0.12874742662018601, - 0.00047248457399797254, - -0.28401554296242809, - -0.015829105256023893, - 0.58535468365486909, - 0.67563073629801285, - 0.31287159091446592, - 0.054415842243081609 - }; + copy_reverse(db8, N, lp1); + qmf_wrev(db8, N, hp1); + copy(db8, N, lp2); + qmf_even(db8, N, hp2); - double hp1_a[] = { -0.054415842243081609, - 0.31287159091446592, - -0.67563073629801285, - 0.58535468365486909, - 0.015829105256023893, - -0.28401554296242809, - -0.00047248457399797254, - 0.12874742662018601, - 0.017369301002022108, - -0.044088253931064719, - -0.013981027917015516, - 0.0087460940470156547, - 0.0048703529930106603, - -0.00039174037299597711, - -0.00067544940599855677, - -0.00011747678400228192 - }; - - double lp2_a[] = { 0.054415842243081609, - 0.31287159091446592, - 0.67563073629801285, - 0.58535468365486909, - -0.015829105256023893, - -0.28401554296242809, - 0.00047248457399797254, - 0.12874742662018601, - -0.017369301002022108, - -0.044088253931064719, - 0.013981027917015516, - 0.0087460940470156547, - -0.0048703529930106603, - -0.00039174037299597711, - 0.00067544940599855677, - -0.00011747678400228192 - }; - - double hp2_a[] = { -0.00011747678400228192, - -0.00067544940599855677, - -0.00039174037299597711, - 0.0048703529930106603, - 0.0087460940470156547, - -0.013981027917015516, - -0.044088253931064719, - 0.017369301002022108, - 0.12874742662018601, - -0.00047248457399797254, - -0.28401554296242809, - 0.015829105256023893, - 0.58535468365486909, - -0.67563073629801285, - 0.31287159091446592, - -0.054415842243081609 - }; - for (i = 0; i < 16; ++i) { - lp1[i] = lp1_a[i]; - hp1[i] = hp1_a[i]; - lp2[i] = lp2_a[i]; - hp2[i] = hp2_a[i]; - } - return 16; + return N; } else if (!strcmp(name,"db9")){ - double lp1_a[] = { 3.9347319995026124e-05, - -0.00025196318899817888, - 0.00023038576399541288, - 0.0018476468829611268, - -0.0042815036819047227, - -0.004723204757894831, - 0.022361662123515244, - 0.00025094711499193845, - -0.067632829059523988, - 0.030725681478322865, - 0.14854074933476008, - -0.096840783220879037, - -0.29327378327258685, - 0.13319738582208895, - 0.65728807803663891, - 0.6048231236767786, - 0.24383467463766728, - 0.038077947363167282 - }; + copy_reverse(db9, N, lp1); + qmf_wrev(db9, N, hp1); + copy(db9, N, lp2); + qmf_even(db9, N, hp2); - double hp1_a[] = { -0.038077947363167282, - 0.24383467463766728, - -0.6048231236767786, - 0.65728807803663891, - -0.13319738582208895, - -0.29327378327258685, - 0.096840783220879037, - 0.14854074933476008, - -0.030725681478322865, - -0.067632829059523988, - -0.00025094711499193845, - 0.022361662123515244, - 0.004723204757894831, - -0.0042815036819047227, - -0.0018476468829611268, - 0.00023038576399541288, - 0.00025196318899817888, - 3.9347319995026124e-05 - }; - - double lp2_a[] = { 0.038077947363167282, - 0.24383467463766728, - 0.6048231236767786, - 0.65728807803663891, - 0.13319738582208895, - -0.29327378327258685, - -0.096840783220879037, - 0.14854074933476008, - 0.030725681478322865, - -0.067632829059523988, - 0.00025094711499193845, - 0.022361662123515244, - -0.004723204757894831, - -0.0042815036819047227, - 0.0018476468829611268, - 0.00023038576399541288, - -0.00025196318899817888, - 3.9347319995026124e-05 - }; - - double hp2_a[] = { 3.9347319995026124e-05, - 0.00025196318899817888, - 0.00023038576399541288, - -0.0018476468829611268, - -0.0042815036819047227, - 0.004723204757894831, - 0.022361662123515244, - -0.00025094711499193845, - -0.067632829059523988, - -0.030725681478322865, - 0.14854074933476008, - 0.096840783220879037, - -0.29327378327258685, - -0.13319738582208895, - 0.65728807803663891, - -0.6048231236767786, - 0.24383467463766728, - -0.038077947363167282 - }; - for (i = 0; i < 18; ++i) { - lp1[i] = lp1_a[i]; - hp1[i] = hp1_a[i]; - lp2[i] = lp2_a[i]; - hp2[i] = hp2_a[i]; - } - return 18; + return N; } else if (!strcmp(name,"db10")){ - double lp1_a[] = { -1.3264203002354869e-05, - 9.3588670001089845e-05, - -0.0001164668549943862, - -0.00068585669500468248, - 0.0019924052949908499, - 0.0013953517469940798, - -0.010733175482979604, - 0.0036065535669883944, - 0.033212674058933238, - -0.029457536821945671, - -0.071394147165860775, - 0.093057364603806592, - 0.12736934033574265, - -0.19594627437659665, - -0.24984642432648865, - 0.28117234366042648, - 0.68845903945259213, - 0.52720118893091983, - 0.18817680007762133, - 0.026670057900950818 - }; + copy_reverse(db10, N, lp1); + qmf_wrev(db10, N, hp1); + copy(db10, N, lp2); + qmf_even(db10, N, hp2); - double hp1_a[] = { -0.026670057900950818, - 0.18817680007762133, - -0.52720118893091983, - 0.68845903945259213, - -0.28117234366042648, - -0.24984642432648865, - 0.19594627437659665, - 0.12736934033574265, - -0.093057364603806592, - -0.071394147165860775, - 0.029457536821945671, - 0.033212674058933238, - -0.0036065535669883944, - -0.010733175482979604, - -0.0013953517469940798, - 0.0019924052949908499, - 0.00068585669500468248, - -0.0001164668549943862, - -9.3588670001089845e-05, - -1.3264203002354869e-05 - }; - - double lp2_a[] = { 0.026670057900950818, - 0.18817680007762133, - 0.52720118893091983, - 0.68845903945259213, - 0.28117234366042648, - -0.24984642432648865, - -0.19594627437659665, - 0.12736934033574265, - 0.093057364603806592, - -0.071394147165860775, - -0.029457536821945671, - 0.033212674058933238, - 0.0036065535669883944, - -0.010733175482979604, - 0.0013953517469940798, - 0.0019924052949908499, - -0.00068585669500468248, - -0.0001164668549943862, - 9.3588670001089845e-05, - -1.3264203002354869e-05 - }; - - double hp2_a[] = { -1.3264203002354869e-05, - -9.3588670001089845e-05, - -0.0001164668549943862, - 0.00068585669500468248, - 0.0019924052949908499, - -0.0013953517469940798, - -0.010733175482979604, - -0.0036065535669883944, - 0.033212674058933238, - 0.029457536821945671, - -0.071394147165860775, - -0.093057364603806592, - 0.12736934033574265, - 0.19594627437659665, - -0.24984642432648865, - -0.28117234366042648, - 0.68845903945259213, - -0.52720118893091983, - 0.18817680007762133, - -0.026670057900950818 - }; - for (i = 0; i < 20; ++i) { - lp1[i] = lp1_a[i]; - hp1[i] = hp1_a[i]; - lp2[i] = lp2_a[i]; - hp2[i] = hp2_a[i]; - } - return 20; - } - - else if (!strcmp(name,"db12")){ - double lp1_a[] = { -1.5290717580684923e-06, - 1.2776952219379579e-05, - -2.4241545757030318e-05, - -8.8504109208203182e-05, - 0.00038865306282092672, - 6.5451282125215034e-06, - -0.0021795036186277044, - 0.0022486072409952287, - 0.0067114990087955486, - -0.012840825198299882, - -0.01221864906974642, - 0.041546277495087637, - 0.010849130255828966, - -0.09643212009649671, - 0.0053595696743599965, - 0.18247860592758275, - -0.023779257256064865, - -0.31617845375277914, - -0.044763885653777619, - 0.51588647842780067, - 0.65719872257929113, - 0.37735513521420411, - 0.10956627282118277, - 0.013112257957229239 - }; - - double hp1_a[] = { -0.013112257957229239, - 0.10956627282118277, - -0.37735513521420411, - 0.65719872257929113, - -0.51588647842780067, - -0.044763885653777619, - 0.31617845375277914, - -0.023779257256064865, - -0.18247860592758275, - 0.0053595696743599965, - 0.09643212009649671, - 0.010849130255828966, - -0.041546277495087637, - -0.01221864906974642, - 0.012840825198299882, - 0.0067114990087955486, - -0.0022486072409952287, - -0.0021795036186277044, - -6.5451282125215034e-06, - 0.00038865306282092672, - 8.8504109208203182e-05, - -2.4241545757030318e-05, - -1.2776952219379579e-05, - -1.5290717580684923e-06 - }; - - double lp2_a[] = { 0.013112257957229239, - 0.10956627282118277, - 0.37735513521420411, - 0.65719872257929113, - 0.51588647842780067, - -0.044763885653777619, - -0.31617845375277914, - -0.023779257256064865, - 0.18247860592758275, - 0.0053595696743599965, - -0.09643212009649671, - 0.010849130255828966, - 0.041546277495087637, - -0.01221864906974642, - -0.012840825198299882, - 0.0067114990087955486, - 0.0022486072409952287, - -0.0021795036186277044, - 6.5451282125215034e-06, - 0.00038865306282092672, - -8.8504109208203182e-05, - -2.4241545757030318e-05, - 1.2776952219379579e-05, - -1.5290717580684923e-06 - }; - - double hp2_a[] = { -1.5290717580684923e-06, - -1.2776952219379579e-05, - -2.4241545757030318e-05, - 8.8504109208203182e-05, - 0.00038865306282092672, - -6.5451282125215034e-06, - -0.0021795036186277044, - -0.0022486072409952287, - 0.0067114990087955486, - 0.012840825198299882, - -0.01221864906974642, - -0.041546277495087637, - 0.010849130255828966, - 0.09643212009649671, - 0.0053595696743599965, - -0.18247860592758275, - -0.023779257256064865, - 0.31617845375277914, - -0.044763885653777619, - -0.51588647842780067, - 0.65719872257929113, - -0.37735513521420411, - 0.10956627282118277, - -0.013112257957229239 - }; - for (i = 0; i < 24; ++i) { - lp1[i] = lp1_a[i]; - hp1[i] = hp1_a[i]; - lp2[i] = lp2_a[i]; - hp2[i] = hp2_a[i]; - } - return 24; - } - else if (!strcmp(name,"db13")){ - double lp1_a[] = { 5.2200350984547998e-07, - -4.7004164793608082e-06, - 1.0441930571407941e-05, - 3.0678537579324358e-05, - -0.00016512898855650571, - 4.9251525126285676e-05, - 0.00093232613086724904, - -0.0013156739118922766, - -0.002761911234656831, - 0.0072555894016171187, - 0.0039239414487955773, - -0.023831420710327809, - 0.0023799722540522269, - 0.056139477100276156, - -0.026488406475345658, - -0.10580761818792761, - 0.072948933656788742, - 0.17947607942935084, - -0.12457673075080665, - -0.31497290771138414, - 0.086985726179645007, - 0.58888957043121193, - 0.61105585115878114, - 0.31199632216043488, - 0.082861243872901946, - 0.0092021335389622788 - }; - - double hp1_a[] = { -0.0092021335389622788, - 0.082861243872901946, - -0.31199632216043488, - 0.61105585115878114, - -0.58888957043121193, - 0.086985726179645007, - 0.31497290771138414, - -0.12457673075080665, - -0.17947607942935084, - 0.072948933656788742, - 0.10580761818792761, - -0.026488406475345658, - -0.056139477100276156, - 0.0023799722540522269, - 0.023831420710327809, - 0.0039239414487955773, - -0.0072555894016171187, - -0.002761911234656831, - 0.0013156739118922766, - 0.00093232613086724904, - -4.9251525126285676e-05, - -0.00016512898855650571, - -3.0678537579324358e-05, - 1.0441930571407941e-05, - 4.7004164793608082e-06, - 5.2200350984547998e-07 - }; - - double lp2_a[] = { 0.0092021335389622788, - 0.082861243872901946, - 0.31199632216043488, - 0.61105585115878114, - 0.58888957043121193, - 0.086985726179645007, - -0.31497290771138414, - -0.12457673075080665, - 0.17947607942935084, - 0.072948933656788742, - -0.10580761818792761, - -0.026488406475345658, - 0.056139477100276156, - 0.0023799722540522269, - -0.023831420710327809, - 0.0039239414487955773, - 0.0072555894016171187, - -0.002761911234656831, - -0.0013156739118922766, - 0.00093232613086724904, - 4.9251525126285676e-05, - -0.00016512898855650571, - 3.0678537579324358e-05, - 1.0441930571407941e-05, - -4.7004164793608082e-06, - 5.2200350984547998e-07 - }; - - double hp2_a[] = { 5.2200350984547998e-07, - 4.7004164793608082e-06, - 1.0441930571407941e-05, - -3.0678537579324358e-05, - -0.00016512898855650571, - -4.9251525126285676e-05, - 0.00093232613086724904, - 0.0013156739118922766, - -0.002761911234656831, - -0.0072555894016171187, - 0.0039239414487955773, - 0.023831420710327809, - 0.0023799722540522269, - -0.056139477100276156, - -0.026488406475345658, - 0.10580761818792761, - 0.072948933656788742, - -0.17947607942935084, - -0.12457673075080665, - 0.31497290771138414, - 0.086985726179645007, - -0.58888957043121193, - 0.61105585115878114, - -0.31199632216043488, - 0.082861243872901946, - -0.0092021335389622788 - }; - for (i = 0; i < 26; ++i) { - lp1[i] = lp1_a[i]; - hp1[i] = hp1_a[i]; - lp2[i] = lp2_a[i]; - hp2[i] = hp2_a[i]; - } - return 26; + return N; } else if (!strcmp(name,"db11")){ - double lp1_a[] = { 4.4942742772363519e-06, - -3.4634984186983789e-05, - 5.4439074699366381e-05, - 0.00024915252355281426, - -0.00089302325066623663, - -0.00030859285881515924, - 0.0049284176560587777, - -0.0033408588730145018, - -0.015364820906201324, - 0.020840904360180039, - 0.031335090219045313, - -0.066438785695020222, - -0.04647995511667613, - 0.14981201246638268, - 0.066043588196690886, - -0.27423084681792875, - -0.16227524502747828, - 0.41196436894789695, - 0.68568677491617847, - 0.44989976435603013, - 0.14406702115061959, - 0.018694297761470441 - }; + copy_reverse(db11, N, lp1); + qmf_wrev(db11, N, hp1); + copy(db11, N, lp2); + qmf_even(db11, N, hp2); - double hp1_a[] = { -0.018694297761470441, - 0.14406702115061959, - -0.44989976435603013, - 0.68568677491617847, - -0.41196436894789695, - -0.16227524502747828, - 0.27423084681792875, - 0.066043588196690886, - -0.14981201246638268, - -0.04647995511667613, - 0.066438785695020222, - 0.031335090219045313, - -0.020840904360180039, - -0.015364820906201324, - 0.0033408588730145018, - 0.0049284176560587777, - 0.00030859285881515924, - -0.00089302325066623663, - -0.00024915252355281426, - 5.4439074699366381e-05, - 3.4634984186983789e-05, - 4.4942742772363519e-06 - }; + return N; + } + else if (!strcmp(name,"db12")){ + copy_reverse(db12, N, lp1); + qmf_wrev(db12, N, hp1); + copy(db12, N, lp2); + qmf_even(db12, N, hp2); - double lp2_a[] = { 0.018694297761470441, - 0.14406702115061959, - 0.44989976435603013, - 0.68568677491617847, - 0.41196436894789695, - -0.16227524502747828, - -0.27423084681792875, - 0.066043588196690886, - 0.14981201246638268, - -0.04647995511667613, - -0.066438785695020222, - 0.031335090219045313, - 0.020840904360180039, - -0.015364820906201324, - -0.0033408588730145018, - 0.0049284176560587777, - -0.00030859285881515924, - -0.00089302325066623663, - 0.00024915252355281426, - 5.4439074699366381e-05, - -3.4634984186983789e-05, - 4.4942742772363519e-06 - }; + return N; + } - double hp2_a[] = { 4.4942742772363519e-06, - 3.4634984186983789e-05, - 5.4439074699366381e-05, - -0.00024915252355281426, - -0.00089302325066623663, - 0.00030859285881515924, - 0.0049284176560587777, - 0.0033408588730145018, - -0.015364820906201324, - -0.020840904360180039, - 0.031335090219045313, - 0.066438785695020222, - -0.04647995511667613, - -0.14981201246638268, - 0.066043588196690886, - 0.27423084681792875, - -0.16227524502747828, - -0.41196436894789695, - 0.68568677491617847, - -0.44989976435603013, - 0.14406702115061959, - -0.018694297761470441 - }; - for (i = 0; i < 22; ++i) { - lp1[i] = lp1_a[i]; - hp1[i] = hp1_a[i]; - lp2[i] = lp2_a[i]; - hp2[i] = hp2_a[i]; - } - return 22; + else if (!strcmp(name,"db13")){ + copy_reverse(db13, N, lp1); + qmf_wrev(db13, N, hp1); + copy(db13, N, lp2); + qmf_even(db13, N, hp2); + + return N; } else if (!strcmp(name,"db14")){ - double lp1_a[] = { -1.7871399683109222e-07, - 1.7249946753674012e-06, - -4.3897049017804176e-06, - -1.0337209184568496e-05, - 6.875504252695734e-05, - -4.1777245770370672e-05, - -0.00038683194731287514, - 0.00070802115423540481, - 0.001061691085606874, - -0.003849638868019787, - -0.00074621898926387534, - 0.012789493266340071, - -0.0056150495303375755, - -0.030185351540353976, - 0.026981408307947971, - 0.05523712625925082, - -0.071548955503983505, - -0.086748411568110598, - 0.13998901658445695, - 0.13839521386479153, - -0.21803352999321651, - -0.27168855227867705, - 0.21867068775886594, - 0.63118784910471981, - 0.55430561794077093, - 0.25485026779256437, - 0.062364758849384874, - 0.0064611534600864905 - }; + copy_reverse(db14, N, lp1); + qmf_wrev(db14, N, hp1); + copy(db14, N, lp2); + qmf_even(db14, N, hp2); - double hp1_a[] = { -0.0064611534600864905, - 0.062364758849384874, - -0.25485026779256437, - 0.55430561794077093, - -0.63118784910471981, - 0.21867068775886594, - 0.27168855227867705, - -0.21803352999321651, - -0.13839521386479153, - 0.13998901658445695, - 0.086748411568110598, - -0.071548955503983505, - -0.05523712625925082, - 0.026981408307947971, - 0.030185351540353976, - -0.0056150495303375755, - -0.012789493266340071, - -0.00074621898926387534, - 0.003849638868019787, - 0.001061691085606874, - -0.00070802115423540481, - -0.00038683194731287514, - 4.1777245770370672e-05, - 6.875504252695734e-05, - 1.0337209184568496e-05, - -4.3897049017804176e-06, - -1.7249946753674012e-06, - -1.7871399683109222e-07 - }; - - double lp2_a[] = { 0.0064611534600864905, - 0.062364758849384874, - 0.25485026779256437, - 0.55430561794077093, - 0.63118784910471981, - 0.21867068775886594, - -0.27168855227867705, - -0.21803352999321651, - 0.13839521386479153, - 0.13998901658445695, - -0.086748411568110598, - -0.071548955503983505, - 0.05523712625925082, - 0.026981408307947971, - -0.030185351540353976, - -0.0056150495303375755, - 0.012789493266340071, - -0.00074621898926387534, - -0.003849638868019787, - 0.001061691085606874, - 0.00070802115423540481, - -0.00038683194731287514, - -4.1777245770370672e-05, - 6.875504252695734e-05, - -1.0337209184568496e-05, - -4.3897049017804176e-06, - 1.7249946753674012e-06, - -1.7871399683109222e-07 - }; - - double hp2_a[] = { -1.7871399683109222e-07, - -1.7249946753674012e-06, - -4.3897049017804176e-06, - 1.0337209184568496e-05, - 6.875504252695734e-05, - 4.1777245770370672e-05, - -0.00038683194731287514, - -0.00070802115423540481, - 0.001061691085606874, - 0.003849638868019787, - -0.00074621898926387534, - -0.012789493266340071, - -0.0056150495303375755, - 0.030185351540353976, - 0.026981408307947971, - -0.05523712625925082, - -0.071548955503983505, - 0.086748411568110598, - 0.13998901658445695, - -0.13839521386479153, - -0.21803352999321651, - 0.27168855227867705, - 0.21867068775886594, - -0.63118784910471981, - 0.55430561794077093, - -0.25485026779256437, - 0.062364758849384874, - -0.0064611534600864905 - }; - for (i = 0; i < 28; ++i) { - lp1[i] = lp1_a[i]; - hp1[i] = hp1_a[i]; - lp2[i] = lp2_a[i]; - hp2[i] = hp2_a[i]; - } - return 28; + return N; } else if (!strcmp(name,"db15")){ - double lp1_a[] = { 6.1333599133037138e-08, - -6.3168823258794506e-07, - 1.8112704079399406e-06, - 3.3629871817363823e-06, - -2.8133296266037558e-05, - 2.579269915531323e-05, - 0.00015589648992055726, - -0.00035956524436229364, - -0.00037348235413726472, - 0.0019433239803823459, - -0.00024175649075894543, - -0.0064877345603061454, - 0.0051010003604228726, - 0.015083918027862582, - -0.020810050169636805, - -0.025767007328366939, - 0.054780550584559995, - 0.033877143923563204, - -0.11112093603713753, - -0.039666176555733602, - 0.19014671400708816, - 0.065282952848765688, - -0.28888259656686216, - -0.19320413960907623, - 0.33900253545462167, - 0.64581314035721027, - 0.49263177170797529, - 0.20602386398692688, - 0.046743394892750617, - 0.0045385373615773762 - }; + copy_reverse(db15, N, lp1); + qmf_wrev(db15, N, hp1); + copy(db15, N, lp2); + qmf_even(db15, N, hp2); - double hp1_a[] = { -0.0045385373615773762, - 0.046743394892750617, - -0.20602386398692688, - 0.49263177170797529, - -0.64581314035721027, - 0.33900253545462167, - 0.19320413960907623, - -0.28888259656686216, - -0.065282952848765688, - 0.19014671400708816, - 0.039666176555733602, - -0.11112093603713753, - -0.033877143923563204, - 0.054780550584559995, - 0.025767007328366939, - -0.020810050169636805, - -0.015083918027862582, - 0.0051010003604228726, - 0.0064877345603061454, - -0.00024175649075894543, - -0.0019433239803823459, - -0.00037348235413726472, - 0.00035956524436229364, - 0.00015589648992055726, - -2.579269915531323e-05, - -2.8133296266037558e-05, - -3.3629871817363823e-06, - 1.8112704079399406e-06, - 6.3168823258794506e-07, - 6.1333599133037138e-08 - }; - - double lp2_a[] = { 0.0045385373615773762, - 0.046743394892750617, - 0.20602386398692688, - 0.49263177170797529, - 0.64581314035721027, - 0.33900253545462167, - -0.19320413960907623, - -0.28888259656686216, - 0.065282952848765688, - 0.19014671400708816, - -0.039666176555733602, - -0.11112093603713753, - 0.033877143923563204, - 0.054780550584559995, - -0.025767007328366939, - -0.020810050169636805, - 0.015083918027862582, - 0.0051010003604228726, - -0.0064877345603061454, - -0.00024175649075894543, - 0.0019433239803823459, - -0.00037348235413726472, - -0.00035956524436229364, - 0.00015589648992055726, - 2.579269915531323e-05, - -2.8133296266037558e-05, - 3.3629871817363823e-06, - 1.8112704079399406e-06, - -6.3168823258794506e-07, - 6.1333599133037138e-08 - }; - - double hp2_a[] = { 6.1333599133037138e-08, - 6.3168823258794506e-07, - 1.8112704079399406e-06, - -3.3629871817363823e-06, - -2.8133296266037558e-05, - -2.579269915531323e-05, - 0.00015589648992055726, - 0.00035956524436229364, - -0.00037348235413726472, - -0.0019433239803823459, - -0.00024175649075894543, - 0.0064877345603061454, - 0.0051010003604228726, - -0.015083918027862582, - -0.020810050169636805, - 0.025767007328366939, - 0.054780550584559995, - -0.033877143923563204, - -0.11112093603713753, - 0.039666176555733602, - 0.19014671400708816, - -0.065282952848765688, - -0.28888259656686216, - 0.19320413960907623, - 0.33900253545462167, - -0.64581314035721027, - 0.49263177170797529, - -0.20602386398692688, - 0.046743394892750617, - -0.0045385373615773762 - }; - for (i = 0; i < 30; ++i) { - lp1[i] = lp1_a[i]; - hp1[i] = hp1_a[i]; - lp2[i] = lp2_a[i]; - hp2[i] = hp2_a[i]; - } - return 30; + return N; } + else if (!strcmp(name, "db16")){ + copy_reverse(db16, N, lp1); + qmf_wrev(db16, N, hp1); + copy(db16, N, lp2); + qmf_even(db16, N, hp2); + + return N; + } + else if (!strcmp(name, "db17")){ + copy_reverse(db17, N, lp1); + qmf_wrev(db17, N, hp1); + copy(db17, N, lp2); + qmf_even(db17, N, hp2); + + return N; + } + else if (!strcmp(name, "db18")){ + copy_reverse(db18, N, lp1); + qmf_wrev(db18, N, hp1); + copy(db18, N, lp2); + qmf_even(db18, N, hp2); + + return N; + } + else if (!strcmp(name, "db19")){ + copy_reverse(db19, N, lp1); + qmf_wrev(db19, N, hp1); + copy(db19, N, lp2); + qmf_even(db19, N, hp2); + + return N; + } + else if (!strcmp(name, "db20")){ + copy_reverse(db20, N, lp1); + qmf_wrev(db20, N, hp1); + copy(db20, N, lp2); + qmf_even(db20, N, hp2); + + return N; + } + else if (!strcmp(name, "db21")){ + copy_reverse(db21, N, lp1); + qmf_wrev(db21, N, hp1); + copy(db21, N, lp2); + qmf_even(db21, N, hp2); + + return N; + } + else if (!strcmp(name, "db22")){ + copy_reverse(db22, N, lp1); + qmf_wrev(db22, N, hp1); + copy(db22, N, lp2); + qmf_even(db22, N, hp2); + + return N; + } + else if (!strcmp(name, "db23")){ + copy_reverse(db23, N, lp1); + qmf_wrev(db23, N, hp1); + copy(db23, N, lp2); + qmf_even(db23, N, hp2); + + return N; + } + else if (!strcmp(name, "db24")){ + copy_reverse(db24, N, lp1); + qmf_wrev(db24, N, hp1); + copy(db24, N, lp2); + qmf_even(db24, N, hp2); + + return N; + } + else if (!strcmp(name, "db25")){ + copy_reverse(db25, N, lp1); + qmf_wrev(db25, N, hp1); + copy(db25, N, lp2); + qmf_even(db25, N, hp2); + + return N; + } + else if (!strcmp(name, "db26")){ + copy_reverse(db26, N, lp1); + qmf_wrev(db26, N, hp1); + copy(db26, N, lp2); + qmf_even(db26, N, hp2); + + return N; + } + else if (!strcmp(name, "db27")){ + copy_reverse(db27, N, lp1); + qmf_wrev(db27, N, hp1); + copy(db27, N, lp2); + qmf_even(db27, N, hp2); + + return N; + } + else if (!strcmp(name, "db28")){ + copy_reverse(db28, N, lp1); + qmf_wrev(db28, N, hp1); + copy(db28, N, lp2); + qmf_even(db28, N, hp2); + + return N; + } + else if (!strcmp(name, "db29")){ + copy_reverse(db29, N, lp1); + qmf_wrev(db29, N, hp1); + copy(db29, N, lp2); + qmf_even(db29, N, hp2); + + return N; + } + else if (!strcmp(name, "db30")){ + copy_reverse(db30, N, lp1); + qmf_wrev(db30, N, hp1); + copy(db30, N, lp2); + qmf_even(db30, N, hp2); + + return N; + } + else if (!strcmp(name, "db31")){ + copy_reverse(db31, N, lp1); + qmf_wrev(db31, N, hp1); + copy(db31, N, lp2); + qmf_even(db31, N, hp2); + + return N; + } + else if (!strcmp(name, "db32")){ + copy_reverse(db32, N, lp1); + qmf_wrev(db32, N, hp1); + copy(db32, N, lp2); + qmf_even(db32, N, hp2); + + return N; + } + else if (!strcmp(name, "db33")){ + copy_reverse(db33, N, lp1); + qmf_wrev(db33, N, hp1); + copy(db33, N, lp2); + qmf_even(db33, N, hp2); + + return N; + } + else if (!strcmp(name, "db34")){ + copy_reverse(db34, N, lp1); + qmf_wrev(db34, N, hp1); + copy(db34, N, lp2); + qmf_even(db34, N, hp2); + + return N; + } + else if (!strcmp(name, "db35")){ + copy_reverse(db35, N, lp1); + qmf_wrev(db35, N, hp1); + copy(db35, N, lp2); + qmf_even(db35, N, hp2); + + return N; + } + else if (!strcmp(name, "db36")){ + copy_reverse(db36, N, lp1); + qmf_wrev(db36, N, hp1); + copy(db36, N, lp2); + qmf_even(db36, N, hp2); + + return N; + } + else if (!strcmp(name, "db37")){ + copy_reverse(db37, N, lp1); + qmf_wrev(db37, N, hp1); + copy(db37, N, lp2); + qmf_even(db37, N, hp2); + + return N; + } + else if (!strcmp(name, "db38")){ + copy_reverse(db38, N, lp1); + qmf_wrev(db38, N, hp1); + copy(db38, N, lp2); + qmf_even(db38, N, hp2); + + return N; + } else if (!strcmp(name,"bior1.1")){ double lp1_a[] = { 0.70710678118654757, 0.70710678118654757 diff --git a/src/wavefilt.h b/src/wavefilt.h index 24f16e5..999e29f 100644 --- a/src/wavefilt.h +++ b/src/wavefilt.h @@ -1,3 +1,7 @@ +/* +Copyright (c) 2014, Rafat Hussain +Copyright (c) 2016, Holger Nahrstaedt +*/ #ifndef WAVEFILT_H_ #define WAVEFILT_H_ @@ -9,11 +13,14 @@ extern "C" { #endif -int filtlength(char* name); - -int filtcoef(char* name, double *lp1, double *hp1, double *lp2, double *hp2); +int filtlength(const char* name); +int filtcoef(const char* name, double *lp1, double *hp1, double *lp2, double *hp2); +void copy_reverse(const double *in, int N, double *out); +void qmf_even(const double *in, int N, double *out); +void qmf_wrev(const double *in, int N, double *out); +void copy(const double *in, int N, double *out); #ifdef __cplusplus } #endif diff --git a/src/wavelib.h b/src/wavelib.h index f160d57..da34a5f 100644 --- a/src/wavelib.h +++ b/src/wavelib.h @@ -1,3 +1,6 @@ +/* +Copyright (c) 2014, Rafat Hussain +*/ #ifndef WAVELIB_H_ #define WAVELIB_H_ diff --git a/src/wtmath.c b/src/wtmath.c index dc1700e..239f43a 100644 --- a/src/wtmath.c +++ b/src/wtmath.c @@ -1,3 +1,6 @@ +/* +Copyright (c) 2014, Rafat Hussain +*/ #include "wtmath.h" int upsamp(double *x, int lenx, int M, double *y) { diff --git a/src/wtmath.h b/src/wtmath.h index c7c7a52..398a1bf 100644 --- a/src/wtmath.h +++ b/src/wtmath.h @@ -1,3 +1,6 @@ +/* +Copyright (c) 2014, Rafat Hussain +*/ #ifndef WTMATH_H_ #define WTMATH_H_ diff --git a/unitTests/wavelibBoostTests/BoostTest.cpp b/unitTests/wavelibBoostTests/BoostTest.cpp new file mode 100644 index 0000000..89da5c3 --- /dev/null +++ b/unitTests/wavelibBoostTests/BoostTest.cpp @@ -0,0 +1,5 @@ + + +#define BOOST_TEST_MODULE WaveLibTests + +#include diff --git a/unitTests/wavelibBoostTests/BoostTest.h b/unitTests/wavelibBoostTests/BoostTest.h new file mode 100644 index 0000000..53c4da1 --- /dev/null +++ b/unitTests/wavelibBoostTests/BoostTest.h @@ -0,0 +1,10 @@ + + +#ifndef SWALLOWING_BOOSTTEST_H_ +#define SWALLOWING_BOOSTTEST_H_ + +// we use the header only version of boost unit test +#define BOOST_TEST_NO_LIB +#include + +#endif // SWALLOWING_BOOSTTEST_H_ diff --git a/unitTests/wavelibBoostTests/tst_dwt.cpp b/unitTests/wavelibBoostTests/tst_dwt.cpp new file mode 100644 index 0000000..e26a607 --- /dev/null +++ b/unitTests/wavelibBoostTests/tst_dwt.cpp @@ -0,0 +1,195 @@ +/* + * Copyright (c) 2016 Holger Nahrstaedt (TU Berlin) + */ + +#include "BoostTest.h" +#include +#include +#include +#include +#include "../../src/wavelib.h" +#include + + +double absmax(double *array, int N) { + double max; + int i; + + max = 0.0; + for (i = 0; i < N; ++i) { + if (fabs(array[i]) >= max) { + max = fabs(array[i]); + } + } + + return max; +} + +double sum1(double *array, int N) { + double sum; + int i; + + sum = 0.0; + for (i = 0; i < N; ++i) { + sum += array[i]; + } + return sum; +} +double sum2(double *array, int N) { + double sum; + int i; + + sum = 0.0; + for (i = 0; i < N; i+=2) { + sum += array[i]; + } + return sum; +} +double sum3(double *array, int N) { + double sum; + int i; + + sum = 0.0; + for (i = 1; i < N; i += 2) { + sum += array[i]; + } + return sum; +} +//np.sum(w[2*m:(2*N+2*m)]*w[0:2*N]) +double sum4(double *array, int N) { + double sum; + int i; + + sum = 0.0; + for (i = 0; i < N; i += 1) { + sum += array[i] * array[i]; + } + return sum; +} +//np.sum(w[2 * m:(2 * N)] * w[0:2 * N - 2 * m]) +double sum5(double *array, int N,int m) { + double sum; + int i; + + sum = 0.0; + for (i = 2*m; i < N; i += 1) { + sum += array[i] * array[i-2*m]; + } + return sum; +} + +BOOST_AUTO_TEST_SUITE(DWTTests) + +BOOST_AUTO_TEST_CASE(ReconstructionTest) +{ + + wave_object obj; + wt_object wt; + double *inp,*out,*diff; + int N, i,J; + + FILE *ifp; + double temp[79926]; + + + //ifp = fopen("s1.txt", "r"); + ifp = fopen("signal.txt", "r"); + i = 0; + BOOST_REQUIRE(ifp); + + while (!feof(ifp)) { + fscanf(ifp, "%lf \n", &temp[i]); + i++; + } + //N = 79926; + + N = 256; + + inp = (double*)malloc(sizeof(double)* N); + out = (double*)malloc(sizeof(double)* N); + diff = (double*)malloc(sizeof(double)* N); + //wmean = mean(temp, N); + + for (i = 0; i < N; ++i) { + inp[i] = temp[i]; + } + std::vector waveletNames; + waveletNames.resize(15); + for (unsigned int j = 0; j < waveletNames.size(); j++) + { + waveletNames[j] = std::string("db") + std::to_string(j+1); + } + for (unsigned int direct_fft = 0; direct_fft < 2; direct_fft++) + { + for (unsigned int sym_per = 0; sym_per < 2; sym_per++) + { + for (unsigned int j = 0; j < waveletNames.size(); j++) + { + char * name = new char[waveletNames[j].size() + 1]; + memcpy(name, waveletNames[j].c_str(), waveletNames[j].size() + 1); + obj = wave_init(name);// Initialize the wavelet + for (J = 1; J < 4; J++) + { + //J = 3; + + wt = wt_init(obj, "dwt", N, J);// Initialize the wavelet transform object + if (sym_per == 0) + setDWTExtension(wt, "sym");// Options are "per" and "sym". Symmetric is the default option + else + setDWTExtension(wt, "per"); + if (direct_fft == 0) + setWTConv(wt, "direct"); + else + setWTConv(wt, "fft"); + + dwt(wt, inp);// Perform DWT + + idwt(wt, out);// Perform IDWT (if needed) + // Test Reconstruction + for (i = 0; i < wt->siglength; ++i) { + diff[i] = out[i] - inp[i]; + } + if (direct_fft == 0) + BOOST_CHECK_SMALL(absmax(diff, wt->siglength), 1e-12); // If Reconstruction succeeded then the output should be a small value. + else + BOOST_CHECK_SMALL(absmax(diff, wt->siglength), 1e-8); + + wt_free(wt); + } + wave_free(obj); + } + } + } + + free(out); + free(diff); + free(inp); +} + +BOOST_AUTO_TEST_CASE(DBCoefTests) +{ + wave_object obj; + double epsilon = 1e-15; + std::vector waveletNames; + waveletNames.resize(38); + for (unsigned int i = 0; i < waveletNames.size();i++) + { + waveletNames[i] = std::string("db") + std::to_string(i+1); + } + + for (unsigned int j = 0; j < waveletNames.size(); j++) + { + char * name = new char[waveletNames[j].size() + 1]; + memcpy(name, waveletNames[j].c_str(), waveletNames[j].size() + 1); + obj = wave_init(name);// Initialize the wavelet + BOOST_CHECK_SMALL(sum1(obj->lpr, obj->lpr_len) - std::sqrt(2.0), epsilon); + BOOST_CHECK_SMALL(sum2(obj->lpr, obj->lpr_len) - 1. / std::sqrt(2.0), epsilon); + BOOST_CHECK_SMALL(sum3(obj->lpr, obj->lpr_len) - 1. / std::sqrt(2.0), epsilon); + BOOST_CHECK_SMALL(sum4(obj->lpr, obj->lpr_len) - 1., epsilon); + for (int m = 1; m < (obj->lpr_len / 2) - 1;m++) + BOOST_CHECK_SMALL(sum5(obj->lpr, obj->lpr_len, m), epsilon); + wave_free(obj); + } +} + +BOOST_AUTO_TEST_SUITE_END() From ebcc2f986007bc3f14e443e18b3bd342143299f9 Mon Sep 17 00:00:00 2001 From: Holger Nahrstaedt Date: Sun, 28 Feb 2016 10:01:21 +0100 Subject: [PATCH 3/5] * coif1 - coif 17 added * missing bior wavelet added * rbior added * sym2 - sym20 added --- src/wavefilt.c | 3988 +- src/wavefilt.h | 2 + test/s1.txt | 79926 ++++++++++++++++++++++ unitTests/wavelibBoostTests/tst_dwt.cpp | 207 +- 4 files changed, 82198 insertions(+), 1925 deletions(-) create mode 100644 test/s1.txt diff --git a/src/wavefilt.c b/src/wavefilt.c index 41d46ec..d8fe144 100644 --- a/src/wavefilt.c +++ b/src/wavefilt.c @@ -1592,6 +1592,1442 @@ const double db38[76] = { 4.304596839558790016251867477122791508849697688058169053134463e-17, -1.716152451088744188732404281737964277713026087224248235541071e-18 }; +// All coif coefficents have to be multiplied by sqrt(2) +static const double coif1[6] = { + -5.142972847076845595317549230122688830344559947132656813651045e-02, + 2.389297284707684559531754923012268883034455994713265681365104e-01, + 6.028594569415369119063509846024537766068911989426531362730209e-01, + 2.721405430584630880936490153975462233931088010573468637269790e-01, + -5.142972847076845595317549230122688830344559947132656813651045e-02, + -1.107027152923154404682450769877311169655440052867343186348954e-02 +}; + + +static const double coif2[12] = { + 1.158759673871686817889714882853120395708315073355502818875931e-02, + -2.932013798346856448679594524397843054053420947418409889774786e-02, + -4.763959031100813225872995081511549408622753909592460525840745e-02, + 2.730210465347666137982239328923516270034828327990699588033501e-01, + 5.746823938568638472459483149751499367740786490481481391460366e-01, + 2.948671936956191896750637208703777973914107635455611537640778e-01, + -5.408560709171142997443672832006888537570221990444706777525838e-02, + -4.202648046077160694657530752545884878978719268926222513485613e-02, + 1.674441016327950635146257083249391698866289538037299820224006e-02, + 3.967883612962012109043447090269950094081810916481648252817197e-03, + -1.289203356140659543141355500990678257894936161704492503370186e-03, + -5.095053991076441489598480835620951586540050976664367876412655e-04 +}; + +static const double coif3[18] = { + -2.682418670922068664584689955153722375535836177157637134187840e-03, + 5.503126707831385107969640263617469178794666057252906037981936e-03, + 1.658356047917034608134280439996549525220639437145367606178002e-02, + -4.650776447872697640390293095170192691113917841041002855534619e-02, + -4.322076356021191118175840907244577856782537221435748296465882e-02, + 2.865033352736474630249006862976158896891076238443844211133873e-01, + 5.612852568703300445990941995240077241406247774064453800050914e-01, + 3.029835717728241602862575774374668529867757043461413348549577e-01, + -5.077014075488886159516471867138370972545857441670871832472707e-02, + -5.819625076158553022607041679522801089624825903982541419721721e-02, + 2.443409432116695639462954438418928805487699080947974989338820e-02, + 1.122924096203786563399489540091488781245346096838814728167341e-02, + -6.369601011048822977293753932627342482077585617391852852955559e-03, + -1.820458915566242322836631665832145136570132777862391313328351e-03, + 7.902051009575939937150950543290226440287715441826917281929124e-04, + 3.296651737931830308416338897758022998655744276957481989605186e-04, + -5.019277455327664998007173088097694083956570594580641192332170e-05, + -2.446573425530813115445387662881902303945941576472342106918209e-05 +}; + + +static const double coif4[24] = { + 6.309612114309468490753696608619526520153127603444406835368201e-04, + -1.152225143769973488683007937016166047881572156705066038094891e-03, + -5.194525163470323267558201363327294331811309729430512113592118e-03, + 1.136246148326482276463392678363118465908960082105224676102131e-02, + 1.886723856956305960822813160712701905823879297781452350370094e-02, + -5.746424190192718517290527411385172124443396690932404284859269e-02, + -3.965265296244913762718094206756579981738035770770645437919302e-02, + 2.936674050161006858761278962798582650835466243678172528509866e-01, + 5.531264550395492870333469741987846570947502710783248169642137e-01, + 3.071573096678856987248881030393884808414165269795297009902001e-01, + -4.711273752389572084912399351781012121935994396763702238263689e-02, + -6.803811467802056988332974920928626798429778679560269769187728e-02, + 2.781363695846951303169163645831936314699164412528991864702607e-02, + 1.773583142270308388403079552822372238681544967313003044695583e-02, + -1.075631615508724933047071603601897536695959225169888787867102e-02, + -4.001010844950535391911552472397083276670126595827549403173754e-03, + 2.652664913530499860820143301690017184933302935238430721089152e-03, + 8.955939276952843603555618778866181384528643960440369133096025e-04, + -4.165001950941708741516836418852536615951250588002878691463468e-04, + -1.838296167136253805617482342622910940008368723403836355183423e-04, + 4.408022661597206973006038672236031501663774161685451815597956e-05, + 2.208284691230832960893331999804142845136324572860276715790883e-05, + -2.304919162676504406778986897925054839632903355820414483306851e-06, + -1.262179179994622253884862172782890488140153502131112374520603e-06 +}; + + + +static const double coif5[30] = { + -1.499645228345950331670593167919531667975440598691604525531231e-04, + 2.535527523580334712936363872191554706055603482812691726895588e-04, + 1.540286725995222360335148244676269541414659303531250711822333e-03, + -2.941078164035693185044038586065593320891475311414770624555173e-03, + -7.164112349410053294382279572472252500899544810929605832362178e-03, + 1.655218330649288840540841623080651353621667424921282557975513e-02, + 1.991901719798432056056857854066125809443504706772520641876273e-02, + -6.499837825472324963374262221660858232544804226063450042795603e-02, + -3.680255347446873527191823500872992242220223547780834450868002e-02, + 2.980959014587191795511466861338063554509597132272839414668911e-01, + 5.475082713540367154128337935687830970431964302909253422329131e-01, + 3.097002590784203529311533316221254677074498876376965941549923e-01, + -4.386731482823615640442730013366750193381707273908757638050452e-02, + -7.464442013283971243472663968192859562973186442054433655531762e-02, + 2.919469277528073666095772398605275751022315529465178441510318e-02, + 2.310457227706684192610065243663928370022983285246219996141160e-02, + -1.397129268638200558584119246355879336305763752871371182932059e-02, + -6.476749751505861835547590642967453082384538848552165075614441e-03, + 4.781116799130657606400088024549264921093190305150784065791191e-03, + 1.719383484385504023022397097446276782318002683055773803854075e-03, + -1.174947934413537690027670037110105795928147523549002426409332e-03, + -4.508222400696236312231932151038336110220594834213702970043431e-04, + 2.134457975086291667348984871136041914777578046177470626552867e-04, + 9.924691139873533169989496559631669037970741600337089424730635e-05, + -2.914684388622130824599478843558087403539428940986384077972155e-05, + -1.504031798197685905639227292876711236513927746903476131955063e-05, + 2.616809660013118152124234488302931243021794024318439103773996e-06, + 1.457502921355163070577152619048168436286350537937563166257584e-06, + -1.148199649902979726237655584441763456854312591680755421569962e-07, + -6.791060677322355511541065559242475254516249773485524025251102e-08 +}; + +static const double coif6[36] = { + 3.590369176713147297619137585162985487882983106558813483919654e-05, + -5.739587600308579302553116112640931312834124316491419262693257e-05, + -4.416681189774217015420887950711066328841194295133755225305844e-04, + 7.718952365964601416123598337617069164684563206275891099236221e-04, + 2.502464949920583984721024494943552146200854870661622211002418e-03, + -4.970540926794084916072709193212250530229884674851059194676904e-03, + -8.649031599946572670088689962363342931064457587276457635862837e-03, + 2.096272704497140779792663941456374769474253019820508756967019e-02, + 2.035485665853858604541136567848434116598037957308057353920592e-02, + -7.047945564795552885905434147081164203757922879137146339823510e-02, + -3.448140611368923447131875491841937617457159299006945091335206e-02, + 3.010998878403483951866118786441379902683440623823004392113350e-01, + 5.433431541205752976643226361323847389491208513427704619816300e-01, + 3.114106686884303879320332890564758567306967030720816157048784e-01, + -4.108920994584877203854246950993119698209208008049962179892675e-02, + -7.938037857340304740867638342147592451705918503253249849143539e-02, + 2.959417996664270964779250587338231669479158250990737014414477e-02, + 2.749324945396978289421721884832761949259069726774638450310483e-02, + -1.622820901345195945858655272139343256940218447777075044002063e-02, + -8.944948800734973559175903045029991278019908264185511730556261e-03, + 6.781924902353432370456282863377674743820538634665380239602198e-03, + 2.727776322637165251200756406544564359327985321401403409245472e-03, + -2.173603470504406274543289770274934991733554729244606459300157e-03, + -8.184301467772110627838702680469158860544118224504527036324346e-04, + 5.443695006423825218320707989235387077885356717678678221237514e-04, + 2.299669354496271337796680394777537358902688275513954507765924e-04, + -1.093025858275705388257100771765109469841731265349469854748449e-04, + -5.323102894235956524250869703703947941287269765076967124254140e-05, + 1.749138884456354646795465632327170008020712055425505484223307e-05, + 9.291277996211799255766657547295162218792966588358292566578482e-06, + -2.067852860108562040355056354764683583070734740977224663511355e-06, + -1.173528057754959701015486666538811237336231287996985858558749e-06, + 1.595231380068613024221709499993144713297922814623646799204434e-07, + 9.548236102970597211555688470325396069418862428946106509526618e-08, + -6.001316648399794543233636397364817876191104394511939069108879e-09, + -3.754092421718877429714314525761519021787631896344301745834088e-09 +}; + +static const double coif7[42] = { + -8.642436297638419945610948131417508321449359042880382837616795e-06, + 1.323092600668737320653618189565188176193563004626002735569108e-05, + 1.238159302411191700694316904823586790698547751438666389964909e-04, + -2.030827471878621660379666662315021490193874834607822591973651e-04, + -8.268301617880235510290843066205662542616488856061409195612586e-04, + 1.489005690114437686460337716452079526238674405271430102926760e-03, + 3.414934412450460679215304700817226231104673750197184931650456e-03, + -7.027860242269773782347401141338545341343547479199220829531083e-03, + -9.759879698174635975799287457121964575077621800626382384905922e-03, + 2.468545489421116360102434627504896094772630565645374342185378e-02, + 2.046157861402903980087467083352777920759194756736646791948754e-02, + -7.463948234553393791576174267216063661913646014250615692345955e-02, + -3.255052720695225444262327386510843067531614239181091226317606e-02, + 3.032701839810768064176188260727440638632962820833222425246103e-01, + 5.400990244606528900971955967395441757408783874674606654776292e-01, + 3.126383971738483006163784309975347847899010543829381537178238e-01, + -3.871497424779051301839419764560067767205245057921330411662831e-02, + -8.293907947422769053048964127950429060647696494556080282464817e-02, + 2.949014117259198370970425259971349135137714379653805589390139e-02, + 3.110778126696628039496809790347026077516532785378620954115443e-02, + -1.778674610242698080195492177636195380628008680534327644027865e-02, + -1.127612352465961805417517163375322309389029593356595515710364e-02, + 8.522290099960163136478259451975210336102817817562221392657719e-03, + 3.840520687530513060929693850444023135936063807811968697808645e-03, + -3.265307484878191553686608663193259573061021023330761877609170e-03, + -1.273879229605184944648413513123685328329522201334094650099164e-03, + 1.014515696091098223010746848382433126910091720031207326903328e-03, + 4.097679895401914370060120309164154094898913488243766819496226e-04, + -2.609696573094586622328219462237882874111293043254082981395787e-04, + -1.186646887145157446962850804940522053646675640116219334763007e-04, + 5.636383526557468584243108976415315613118268111676116113791335e-05, + 2.858866828380331402146557751682881290895951013741692838961144e-05, + -1.006611544197303027244467426357681984010120261232862556289963e-05, + -5.495099010556417822017774697665452170235386110376505191968507e-06, + 1.415682965517504934011008339473818198664994789606034408294717e-06, + 8.188133233610314217903522752009348948778608588070621911086501e-07, + -1.463230575247395655425908281663831406004216665367756779712751e-07, + -8.874835827294529368648499409085591173735229589713890206258021e-08, + 9.853606453775557692052504971290731996468795418172901924493247e-09, + 6.220130833773100584817683046405291459615130548784852993590582e-09, + -3.237371065873786031415974713833345092654235228652968924822315e-10, + -2.114649662048637955296836248309680136665362492693075345297952e-10 +}; + +static const double coif8[48] = { + 2.089031388199542217649735304633077946477575993553137874997499e-06, + -3.088829676466960594403785936495123295795735325141186563064826e-06, + -3.415065199420814308581377665735877442810613593316182887801764e-05, + 5.336794978475752885866749586223668039582360880077534324830961e-05, + 2.625452092146307108027768728326461036005400582791844219135485e-04, + -4.409238208772274245312366838988697089610792049225817119782188e-04, + -1.260955244697859087126122671343741939804055800993471565939717e-03, + 2.334035748516809401796699851512493931521487402803856088184519e-03, + 4.238998515964122916906367014472885263525332429616686168386780e-03, + -9.010216682788485374574179959374952745626145790175446525921665e-03, + -1.059137210972160452062877264732854070957273640727973500291258e-02, + 2.784023497265315551670806338623371354680279388669611745037381e-02, + 2.038491393825460625255433218588522954822776999829791972608492e-02, + -7.790193780817760648856650048481215968473342802126754335290911e-02, + -3.091398960464199635355286295557605183007519885588326376800431e-02, + 3.049113846932028296232414935045248095543039057351616871735909e-01, + 5.374812703269839615372906413514102630694929400948606989937313e-01, + 3.135612340595966380418077448086007870950549040456326333016594e-01, + -3.667108316665038246204915903550010028035229188747930760164446e-02, + -8.570923901203457457230067054960180625904745972345544735005669e-02, + 2.912276318941918093502808667205448538832711003842651923199100e-02, + 3.411957880301561499047582538207723820508873324357307771206279e-02, + -1.884914078883376071043287013172570992844993887415459298291641e-02, + -1.342459526650064517082192966318056581890805569912583356614454e-02, + 9.982558825082415904373108133470460186315362848702191453854950e-03, + 4.996294194193990739772329108378853011245087219628720892888460e-03, + -4.353415716030435524873558659254500246467092155734985247834619e-03, + -1.798882274878169625580021134613003566863070625422298385086326e-03, + 1.580842866685999532270584538283553531040029730619088591607990e-03, + 6.341164354094166487421798386547881496331208497274921165613427e-04, + -4.859037288504776883185923185674204816335250660367189593401172e-04, + -2.105615022500261821665621601578029342187313061309595147668812e-04, + 1.284762650553455535249206074613997094898698286922036784576671e-04, + 6.190332439714985153834932259246488292329875513962818749340013e-05, + -2.932710247776567240870160300128192249260665410455632214571613e-05, + -1.541634258578732960762233596163970199686495285352470015267722e-05, + 5.679130231196248852811714735791066544261806333156564637706958e-06, + 3.179814253819903951090335509892218398493686680727385157906016e-06, + -9.018823843695175549580166675906964282301328192772638509290562e-07, + -5.313922705051620291263120753790527283196870682052587236468039e-07, + 1.123841380424949688574412705744289982140965409566073018148117e-07, + 6.910143395859795983361485345968765950977315740669289349714194e-08, + -1.028133863272738862101812736488937814136249072478179304322756e-08, + -6.555732343557023119114074649273108865362704549509543350446188e-09, + 6.130612315575721972473587395696526436552798806104270539014282e-10, + 4.033910072490666571003953018881489938766267669840899254802129e-10, + -1.785744077894230068079099924407862882873224386100989050429950e-11, + -1.207731024612356156550871498168833597517735826635815624658975e-11 +}; + +static const double coif9[54] = { + -5.066363823597422392806056574334164019913184490360944548316318e-07, + 7.278391993125473027029583168671424388748658656372670262448419e-07, + 9.304737272738569335426840667700605845237073216830127313873309e-06, + -1.399166643491873035927397151326087921115765448962913723958371e-05, + -8.091702401289310224621206748421921014290936300934460833068239e-05, + 1.288948603756442891955388200793566964011433484841725529675464e-04, + 4.429833292564910878782752821721584532350914860569614883397891e-04, + -7.604638375385009047720991576053046852032649468701121074994496e-04, + -1.712076406330546261864476465012314688415071394908910205115863e-03, + 3.250609771558499559986242897495101339387218580957593472948506e-03, + 4.965544559205420047336110923957506351279457718709199656899118e-03, + -1.087293322510375296786682178855708097994536728252120886318829e-02, + -1.121487186714498120022344911296954171366809171629939577546416e-02, + 3.053409241514424830665032185876170313664500941851818086027391e-02, + 2.020392698610770380447570514810463753302939216061746963067828e-02, + -8.052780090649459945830240285306098489931000767407230573519424e-02, + -2.950481547909572113527928936790826747949471856175409844500779e-02, + 3.061961521402196297060170641420108731472017553153312985302650e-01, + 5.353120232520133713115706737209774227378476257207779817606799e-01, + 3.142791902169524902984239510600746503211251765067043225338625e-01, + -3.489491800009343033063601189229669581774254383120018514658627e-02, + -8.792560957387142697108395104950963599558244039650648988222216e-02, + 2.861927542811334614253853950282153483993260752259557922334958e-02, + 3.665967931975593019562623910949450882200844831012366323592970e-02, + -1.955945002554213167931774103463762372167104971118382178710488e-02, + -1.538279230927754406350075858557526842247910581873511998413085e-02, + 1.118552122310349928798438523781104471338643824158961043502858e-02, + 6.153778805250375760539535917130018322120240439861388830004320e-03, + -5.383941047406102653501165062580070636876629329655105558566173e-03, + -2.374234426766700376811893833905319565227030464607844605997432e-03, + 2.201384480544939153490212385667343932208692420769790727070706e-03, + 8.978070631742198872611262172632408686645841161925814232909679e-04, + -7.748091639808001244045755147010278445955718484470643940080615e-04, + -3.271988742130504187500457463514277973862371006416232573352337e-04, + 2.382340816470993068532708118584131071285832153866665367058914e-04, + 1.098939547757907591024137319089517624469653929668339354098746e-04, + -6.459841534412000641464605011582059745094736001136249665670393e-05, + -3.262384353548798509572707535297893969508001470867657290979350e-05, + 1.539823757133791368834354345267796411124232848770592546980638e-05, + 8.354049038925734685227308673812966075026848925201707946720101e-06, + -3.173574058801678589943416130953277710277471261605337088707621e-06, + -1.818949869332426905097083388417804018910760658657704860329107e-06, + 5.517186750972799125927280958782447793255276643806997727626076e-07, + 3.308966123618421063439933908570170555222439095610467058151640e-07, + -7.846530733490392810972396794430929632826504340137889923489193e-08, + -4.890737315241025544677728915264690823141541323355311455146920e-08, + 8.750627874791451325430828577550291173132606932489491650978024e-09, + 5.638473635810843029376963642806188780738425364694324846641801e-09, + -7.167429275081674956250392820907257304489315331347262926580420e-10, + -4.754207280832321963819557935464843642627576884386666887645887e-10, + 3.830468826216721628160165172614737318957786647293037946018968e-11, + 2.606522688312826422093936510197703125780060151935658173250167e-11, + -1.001456631869681899515352955030379117902110811720682559024841e-12, + -6.970967839322873084383232882845795920838117679540306239345441e-13 +}; + +static const double coif10[60] = { + 1.232039860648044172279299405224082875252688628145893763395790e-07, + -1.727295600804314762711191670132331791341141012661151334481794e-07, + -2.511081517709769407961552319066117068245327429766666733928049e-06, + 3.658544046042552874351627900962366978528997860123373895778793e-06, + 2.436668276348995654567141715803151760606013118025710110377401e-05, + -3.722543982033220274394394471108112000512191070987312940916252e-05, + -1.497469279949762172542844959871018020917187701428092381975699e-04, + 2.428593780445920993243261353647084659003272232610773863151794e-04, + 6.540313182060373357098490399551418144208877502266803289923939e-04, + -1.146063191568871560182378726825944083414392177714466101235875e-03, + -2.159498802066973425125604747126061872540389369353813104148470e-03, + 4.198356898750693446005403941056755251392636143022056890090725e-03, + 5.598275450294209413911534747591226887261098750954757306041384e-03, + -1.260095805571421166223679712763560488266840720081803933722030e-02, + -1.168247265355164122837179014169010489974316491167398434017964e-02, + 3.285412351493396730558710291243592888780292689130164184828513e-02, + 1.996368405025267515773975348713442321055648689376329104127913e-02, + -8.268628841732119164746367518414478774806468603519900610269584e-02, + -2.827515877359611439071634624194631537427006948348240041241060e-02, + 3.072295399526691328155262418641709088201200529352508961256835e-01, + 5.334767884906935739862412544069281108017755758434730066259645e-01, + 3.148528691610333337017175073118974445216093370484743945217914e-01, + -3.333673484145423901496513466029874130150784824285513273324710e-02, + -8.973828824876461620729131462736908322846203417126514244115363e-02, + 2.804975877403786393498709022507676088711706121355859697479949e-02, + 3.882650078944377967276663169043218713908993336081868910959595e-02, + -2.001823819093022389853947550669865247947997489243455484715571e-02, + -1.715959267288721579873571730849821259719260958329570391883719e-02, + 1.216641740406415476398704875951061876471553491032831272757748e-02, + 7.287002668222967317616933795891484580054714258414483676611073e-03, + -6.330873585683910945116572500327893678512281593087324528956428e-03, + -2.982656931766638403179439090660944850553111019029093184942893e-03, + 2.842726797184870190904247769487845255184476983143715832751782e-03, + 1.194989100375986838359310533134452087293580850721847113981799e-03, + -1.113592929026716220582486976294877082540073971334172516478939e-03, + -4.665959023435428623124863826904417915798780109069842899171733e-04, + 3.854915448171689185378413676726041277985033697385268395398737e-04, + 1.722736489049248280735630694200218710841097211364504157426810e-04, + -1.192039440276314665828270011182318354192262701354872993867613e-04, + -5.799804551608036312810594836126727444524814767625101691871260e-05, + 3.303955116680311017462087431863046046226866796792060186027460e-05, + 1.735375106985050789058251093166552848987592399630060085283037e-05, + -8.153689583347474492592925111165323709051679031024702923650800e-06, + -4.549758014112714450559595397423919633198378184124113284457878e-06, + 1.765789027517910443710091424096930382691903616281733579514694e-06, + 1.034104799224371158938634470768393243015388383126290286799001e-06, + -3.293437798170512614804826256037338836342628817269828495710584e-07, + -2.008825017273243555706624872035287742407494975566457013532182e-07, + 5.172869892752758054467150354777867503503057315845912340980461e-08, + 3.267471887025676044777185234904542674259187212800749921513620e-08, + -6.644210603985367626472026676249006537350458801953377329083388e-09, + -4.326722848192605397244652678298064482622875881609332553562911e-09, + 6.694767246505386091091135023442214060965867621406459703646360e-10, + 4.478193476940001390457010880530025539995676698350272513506529e-10, + -4.958883523601264332798684165341380344606385498242825617652400e-11, + -3.396977896617646756144544675014526730130390520604930211664642e-11, + 2.399541927897950965447863495074910322552410081226759270966602e-12, + 1.679108441896732974456456195021048198285552771033686283521003e-12, + -5.688326582012783070559328035350356616163807538811872116072541e-14, + -4.057351322008929507004790032757210978914475486123608161502457e-14 +}; + +static const double coif11[66] = { + -3.002841270578181341151286551992204393218350582050331595402947e-08, + 4.122272295217427667266356780879156258114498741519631516920331e-08, + 6.724990810124306151562398023851821394904913501570357570065506e-07, + -9.541360761072246280269422180608056185383175100955611359233360e-07, + -7.202532561401011173077639437360684947826378373817567768549254e-06, + 1.063453162485789261522879856606560854907350313528134680849924e-05, + 4.909272375475312318494348591512780526373439988508822238418822e-05, + -7.613184050961339338779773068101736230733664198546980476770618e-05, + -2.390784892821873979161511417107775995428809136314600188678204e-04, + 3.943679383279311167583246559267867071442290440944189999981643e-04, + 8.853493370435959653823385085809947651235906281219659248568656e-04, + -1.581686514051756535736270395427784669332587895176156014356356e-03, + -2.590742746810224935563114329456904019725483278674143464295211e-03, + 5.149870818465970012295826228755714553228583889769273657074563e-03, + 6.145845672897527026066671647152239861924038000733917998375367e-03, + -1.419393259281191647250120633508339618223543447429480888885451e-02, + -1.203207413449444640173778009728050814154121296076212013667261e-02, + 3.486923068039100484429764121043168480751638068774959794674373e-02, + 1.969083876878412756398286849757105734674338626918970666727437e-02, + -8.449176235282616008524865397153001199569198030863676330987291e-02, + -2.718999570426944985720147291173682797300682913513030026037261e-02, + 3.080790765578655262603080397883700945436205022547475195838858e-01, + 5.318981263183423043747894675482113686160804211740980090048888e-01, + 3.153211471627422880186647707469009438784368258990685746892257e-01, + -3.195766007061928848761664009258043321006644364041143491101353e-02, + -9.124769812610534134560255473252823728312230005712995741316249e-02, + 2.745384767698916118757918507086581985709771313695467894960792e-02, + 4.069416828919323054368101934164054080633716017333800953161065e-02, + -2.029580028320762422710091483209306643651315777764043153811346e-02, + -1.877019961372162622019431440913198179510661354819964912645659e-02, + 1.296101510005597271938818874849814161448679262503765364267420e-02, + 8.380611488139723458203988762791929393262625838897962724368728e-03, + -7.184830591966413369120495146871921423473823635538498945128881e-03, + -3.609859908793898337842135309705990038242466823111355909651691e-03, + 3.480855644490575075872348257576088455972056599653664736521251e-03, + 1.519587122349825377958385405834371021723021014013798688930949e-03, + -1.487476950041717485556524898256248562236771186568035610613046e-03, + -6.266221323526552965740711288191177473318091288369663188353385e-04, + 5.669194750141824007727306877180277155664136228075876060283768e-04, + 2.483548169561553353815465009266736653140504966736322870003302e-04, + -1.947562130464613262021359493483333444690328898219310892360572e-04, + -9.182970970440133704016563635061723131880458403925476794220964e-05, + 6.068684153958316426511545635539425250648039719186543457181453e-05, + 3.088900022390199858477343797815906237906306891829977141838519e-05, + -1.713715146668224571508596341585374794778243270230714316209873e-05, + -9.308177549019247529116617185853630140339620355105237169582950e-06, + 4.350944607244218897315593155029012286145084684860699651446177e-06, + 2.489826198091695152209251895295085602387717821947484457226637e-06, + -9.810226131982706356161587985205307909654994261025367440308819e-07, + -5.860477917929613862778466907321520994203794368308376828863000e-07, + 1.935841542281693216091905456706113598339749921662496254592563e-07, + 1.199713894157469549665332933845486904444785619477457333399722e-07, + -3.286315290852867745345772422742964814900623793534583508718160e-08, + -2.102733655956564692974301994118024161699559390143901211493212e-08, + 4.697313377266824850774441291113868308618121213665395500265262e-09, + 3.091127346541495169376181275469205804231142302008934448079057e-09, + -5.492931291038498819123339772152269159856609319161416280911575e-10, + -3.705832674015332129353734352375876066802108394411578196121359e-10, + 5.043003455436262175385618694799102815016439527671656113021805e-11, + 3.478819684783597645372027295624442362976569795450758846730982e-11, + -3.407139658961008818238265022607619145960800136177153397899540e-12, + -2.397817050423233350570935216927526718398777501751418933159848e-12, + 1.505627237721835119751916336971964703936303188134672123458877e-13, + 1.078921592982513510792367677790040203074764526102391850430293e-13, + -3.263876236830110071269528317803593334490309684938793753165837e-15, + -2.377548488823423543125139291778920077224497814021891145988281e-15, +}; + +static const double coif12[72] = { + + 7.332768095940030936479170284005726526900547838823690875511772e-09, + -9.882788960094173321966534093367099204293628590516819427395258e-09, + -1.789770690933674811780047200109598433010386971973430500672055e-07, + 2.482235718295242398333562594286195512316082783324858732252918e-07, + 2.096862898770904613564680054212556937787154121601629543533841e-06, + -3.008997523302885197296541933722942006923516241629763269568385e-06, + -1.569727511606401439531655092040058072751445499110659438977086e-05, + 2.347282446659006948884988502182500910534796840878776320306027e-05, + 8.432620671960839513456175441990492843161437159914478159180496e-05, + -1.326465700910231806666155456982630828426491024439193157580022e-04, + -3.461069031961523260598540665989975463806418435597964924450827e-04, + 5.801724592109383434087721189210231779950668973412340708531782e-04, + 1.128329952931538448642997807830809340563912699376148776100497e-03, + -2.052978207989856468257756671236218003175082899217794093393105e-03, + -2.998854718805581165102352821152213608341151163107294684246684e-03, + 6.087234661002692098937246236052456417362244403536977448648695e-03, + 6.618258248500649305698119745808151708404790949797235636697129e-03, + -1.565844764466259880161945578291943699894979290174981301878469e-02, + -1.229143532595011743051583354556862863433008454113067034110364e-02, + 3.663359030520896940491446552702346213307676159344592871561174e-02, + 1.940158311172772932244832520273815443263367988550797208188773e-02, + -8.602421369693663560157681223178103065887873009243441444273671e-02, + -2.622309610147498279896640360042796723325043337619084753451538e-02, + 3.087901191936800440665016928578559620370136549385877375418705e-01, + 5.305215546028922252760737677862501004955798466743925981589890e-01, + 3.157101125097144187884255713018906584467729236429617965600542e-01, + -3.072728270411850832025519617026920233823691270616686168610683e-02, + -9.252355517407954901591096183036942267909813631619741203079509e-02, + 2.685426980489526041311526911968158600872135457665305597171601e-02, + 4.231906584194910461336004572125137067789978502941750699346161e-02, + -2.044171277278771763990740324636394218858904394719947562326197e-02, + -2.023145788215137568397333973747514178822985181848891022548418e-02, + 1.360136074289957261858358098198061002684141161420690992513613e-02, + 9.426267566785124441978318969535742805562416304113067761168412e-03, + -7.945708281838580982329878679291156067815423974682242221896984e-03, + -4.244616137562462768873148640133872748101997290450405726506771e-03, + 4.099701294107222470709340142349077619300436310693220618061200e-03, + 1.865723923369076273507077887878603520484228647302554964863350e-03, + -1.883095146836284131126558963690882906898471660722337699052360e-03, + -8.050306441934266570411103136671969129999167330943811990532568e-04, + 7.774244768363498320173652454360791629397769478205798411568457e-04, + 3.372847962851042846971724663631080138529114657505401824166820e-04, + -2.913208318185371820345028586920081498099751816901944041981459e-04, + -1.340525559954698716569234001877227886256687091468901002407760e-04, + 9.982127673611594435680485331533411291981760920599082733502195e-05, + 4.937348728732130704294498684307923950522584256106944886949448e-05, + -3.135036716312241024722693180559594774556478340860978546951440e-05, + -1.658147773498940772484726369548058692747045913396859511266770e-05, + 8.993369381780249884815177697768622600696214964193331328463550e-06, + 5.029634518357754652723486937747064581822127275361432214835696e-06, + -2.337864167664466494570925080931611944904459384149351585277512e-06, + -1.368676631106717262348517888568825801321041470548296848624890e-06, + 5.450688318062644286926839313049161286349015828217309026636711e-07, + 3.316523922200394953147539061914190708715734274178414348860243e-07, + -1.126508114108817402586366374763002332801656314726353024056859e-07, + -7.087035083421007145362900821929976013240319835720189106840565e-08, + 2.036136552214949970328712725606531020556011014972233106738542e-08, + 1.319046726965912968164902682289037946241823978447803297147618e-08, + -3.166087228464481990319888550523695148079523238750557992010525e-09, + -2.104991149449598511738256933418413456831105806964526595267674e-09, + 4.146945431639040971236501326093312709747378328969720686955287e-10, + 2.821776098897944456514363403112985675647966425504805181915693e-10, + -4.446983453406239471384232757602885317329111550023751533862821e-11, + -3.089624808780293616300620576734718588630028421505260673719541e-11, + 3.747462360879854551489729939613548244791307999347455031364712e-12, + 2.653081274384644726529610503659130177381947905208003616541403e-12, + -2.326413554174593468421370682954805683688973923244290583476656e-13, + -1.675405289088832668656302656638525011959950143853262083260676e-13, + 9.457233677790636292829124094363707169383163229929980763002159e-15, + 6.917698090475727804437168736067302147625040054118083556555473e-15, + -1.888230812078774308964339134901795324778762733781901178118498e-16, + -1.401017335540698807093219863467094751924636611380629198255055e-16 +}; + +static const double coif13[78] = { + -1.793548393002850396214718676857202286659666424187461477734916e-09, + 2.378211185014311786110879108757436954350720046766491611553072e-09, + 4.738378239463632066007380653022285879027956504083662158044852e-08, + -6.443042549205366017018471056937057609502890297774359019447097e-08, + -6.027665210865901726655682284996751140817763415224888556619716e-07, + 8.442063562432018658923481573987170154629168292318465207460091e-07, + 4.916019713173742217516567081751095460187255617230097133575212e-06, + -7.131597545851986841244858233956149652674565400158665885083228e-06, + -2.887621717983862897214028125602451735414281976333647039362767e-05, + 4.370659106170444884665034460659021177081728764017693131624860e-05, + 1.301010589502334343162340998315752253281092458614582842230339e-04, + -2.074517436437432445981843921824038136707694799228389255014386e-04, + -4.675659350970496983228743630930465551287595323790670572391233e-04, + 7.958726623965077575159821003474228536032266651825968350366428e-04, + 1.376238684291389421260151294679793034786767219476646917508650e-03, + -2.547925839943045924066603828685111513038130582703762656864035e-03, + -3.380448382429659921946074764411430359936216225160144993981999e-03, + 6.999176747558747594441502446219623982632259493449887383625331e-03, + 7.025277873701559172377638256697086265819697238858476588169332e-03, + -1.700403721911182477272019360628329604078467241211115244215388e-02, + -1.248110041093927898560561468789729670710805348798639274049645e-02, + 3.818992191138900815386778979798299217649095657811074673392633e-02, + 1.910593122449920408487253901211150453954067290839567103918095e-02, + -8.734123305433746527793626123316474698117075663794485992246041e-02, + -2.535440772516182914289995632242460491764482405133781896194027e-02, + 3.093942491825020619708297996329932122162946840728332042771585e-01, + 5.293074910143676049377270336094486347453907972435992671221709e-01, + 3.160379244009616024122892848920228469630372079810266391126280e-01, + -2.962163220306191371882270857478632946112548274231313092509283e-02, + -9.361576444399936039733984609999327008143196158286264947803189e-02, + 2.626405247194866459650693584890446232517026215635389354877327e-02, + 4.374461075475828517065334688194008307695911637366798984389094e-02, + -2.049134157245617651216272008653608168147661681048849172375451e-02, + -2.155975349513035485872319905355436164781967949252709342828195e-02, + 1.411469715539851095863611028564527062867149436850684547048665e-02, + 1.042015012705080744964255765999888273943255976544095301354753e-02, + -8.618241965220092705853657584595597150491673418403411002408392e-03, + -4.878411229018901327291501121500987653856731550945133361152065e-03, + 4.689231319014487945639277139124902021493524893685817080310457e-03, + 2.228006944652422042461995816835639158465376266146249271470082e-03, + -2.289300216009735975701956488620738834491684014507704186201093e-03, + -9.995141996257751415873914459680403989351818715310372734784204e-04, + 1.011237075436018016549433779140494575127827962961245293854167e-03, + 4.381342083712223181655422780539654899256457840343499415845070e-04, + -4.077800844935014982451276827385817092870017635124843071185474e-04, + -1.844040745436007917646038575655224990196066190810660605304526e-04, + 1.512620828188999164176721097533404532449113024454664717717400e-04, + 7.298889914269074881614764112188558106800789316340412477261329e-05, + -5.182922229726125421401881179344203187294861819954288822285889e-05, + -2.672839739746518397507211250706440905085295052637683361350922e-05, + 1.639620996879063097510387977200493175731056979428359020893174e-05, + 8.963666558523048764112718546851367368030517279319460108445549e-06, + -4.766464838000155192746436553819324857933144402808057358218020e-06, + -2.735466156072759824467664346873929524570661158335396527180534e-06, + 1.263996241706422344627321843525682342021921638088785036829943e-06, + 7.554924136965026151745000640360811330632516737592082697244460e-07, + -3.031372027194064857797292192738025195545051465615020648049694e-07, + -1.876153353569459383609680347900216851365226014600160596860682e-07, + 6.512178154867684103162618794588474859582328666119453018835115e-08, + 4.155335593309412282776259416691605536103007067016402041304343e-08, + -1.239596814755558143100692869308986827004606690663547726503092e-08, + -8.126161332398177051328184604237057975154642800593274318357692e-09, + 2.063790114950702612059895249532033343340137201326403800942906e-09, + 1.385901944573589656765876273409079665095347609123824623959651e-09, + -2.957224178853409095488876110988057035662351440629962056952036e-10, + -2.029311934113340193298299122766339237347606272015477168851847e-10, + 3.571772829282367453820656456837216050596922160503361259637188e-11, + 2.499410377682389724091314347623318996671569127462013112818877e-11, + -3.534890218851825710748828088218388133415831376956616696797412e-12, + -2.517884527624136958659745558559312992706644927689162729125510e-12, + 2.751761925220381284379520354168022844435052022760463778480642e-13, + 1.992032170370043447922955009924406643179442598661368210363579e-13, + -1.579660989452381199649841550208895174521301273998672860864606e-14, + -1.160591617584672995112625842000957667465588057411636690187883e-14, + 5.944365969270122882900608066221185975352672745351687370149379e-16, + 4.427175531427877551269875594300908130209116956704562714053338e-16, + -1.099853008896742180355036418837212161914020836623592509294684e-17, + -8.294635939298345162821665414627459859677158780165562383375210e-18 +}; + +static const double coif14[84] = { + 4.393123283287643046743977676392679809833123671791969857529554e-10, + -5.740995333980705032482946798804467194492616738218164095035288e-10, + -1.248927009234748737577807595315202881486499763243765085950971e-08, + 1.668938708534669081372944925855130859570883667030296283192275e-08, + 1.714224718466457012729254240886670886351889068326223437908249e-07, + -2.350888489707823711598280869672645467891128086655653747378426e-07, + -1.512829449512444398231569819651340325454203862764615475827846e-06, + 2.138843028494803759906484297432258680083063727505990520765838e-06, + 9.645189410175859129875925155219070194081512175741287765540858e-06, + -1.413900766434184664705667161036292966126778120705989526301092e-05, + -4.732386374886606069931596084808261069441902397080602834581236e-05, + 7.246665915416318653041426061722482786676878913517175624718883e-05, + 1.858717516638060924675018895058421783537325657288962327083514e-04, + -3.002639346667087045056450058456524356780635529605230858304448e-04, + -6.001981648119978322839905692747076742955350870879313864711891e-04, + 1.036704424281183769332139455241059670502046121189437350622494e-03, + 1.624019729102622430009407806264396637075700567293622239292888e-03, + -3.056866654227471285910973139305702040302592610826831936007958e-03, + -3.734374338375411359548223317593068662165508326760318658468879e-03, + 7.878974156362307531137246310651783340668870035859860685992973e-03, + 7.375794892775370758210034597418329565084392014608514718594919e-03, + -1.824112316356241062692741179162085194558935295694349102012547e-02, + 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-7.935125388684553688655161870002244461407761128159434896618062e-05, + -3.998277597219932662226493843559158394980004861650575475073792e-05, + 2.721796546580936689236981518793293817082739932936290854597108e-05, + 1.455457611510765292828084081835640403374221862390765492386559e-05, + -8.665251169633984802148726995857663363842070697439942022312573e-06, + -4.876002876304524386897822246961544519628259634511055566637692e-06, + 2.547630497377554690874245620888763103208548188356120375663417e-06, + 1.496291521165122830795751824395745883743697658779928306182602e-06, + -6.871963182955767930114979093149987762546939511820085867823395e-07, + -4.186054213338905216716743937485713975287167010801084873077525e-07, + 1.688323085510447043387946782295494719025294305992339556134599e-07, + 1.061608664532340347260400721455574451686604605297267706650340e-07, + -3.748126052504886126462262044258726754387739289902914735975186e-08, + -2.423790421295234792457591882318039900764790491363232906013318e-08, + 7.451944128021296384873848910815562162615603046168848323657834e-09, + 4.940829113027976152032509192714512864500880531926251999539656e-09, + -1.313004290651891746787587770064129324937346786322188934177725e-09, + -8.903006190166202390134120838864396696475015840820998020804486e-10, + 2.024339408983577773846670331538285833569817328592031229378977e-10, + 1.400716332649913272902011493738096845560270049348128272163217e-10, + -2.687843639588594104182180535839092397502172743578767496300069e-11, + -1.894326416951989057103502558801200560928286148276804817046860e-11, + 3.010449065125004813763195657162392547592377042598795440577733e-12, + 2.157549110009031291962129877779262524544188824969196959112637e-12, + -2.765131213310687469788780767616475716770096486689988092675382e-13, + -2.012365100006663638325338350119352463903184738855668161185981e-13, + 1.999559651890099694974046277400337493312467655228527142562129e-14, + 1.475855904098499257323658940826580143845487753742438097885182e-14, + -1.067284385873308952698526062594338734883390319779112369515680e-15, + -7.980454732861187078908378609623987154745352892645906516335706e-16, + 3.737960558513592434172838302437103561627990707012528832920768e-17, + 2.828736827706445597408742152789813333751511825684331285246309e-17, + -6.443221017103948534696419228196665121335677484790396728190832e-19, + -4.930480277882556230626331748820167974609092329853622801401922e-19 +}; + +static const double coif15[90] = { + -1.077388305690034925568519317607342584913833777614742512289616e-10, + 1.389587596342677833974329883522061230029685955993897881938371e-10, + 3.279393998194510988634872448273529681786105568152537128188232e-09, + -4.314917428064750425742001408005222171763816486950620059656063e-09, + -4.830480955281757774084367520164529040833872636548135345926328e-08, + 6.503442589750190197880818956936279316947206899423481669747179e-08, + 4.586202226530976939526210331832939590139698224375343383858299e-07, + 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2.327460534735607792375886758810039203536663498026314128685740e-07, + -9.419176207630012538547307468277369699399418776908683708933552e-08, + -6.010901363192621272223652431192551853015388169886067903126279e-08, + 2.151040529867103646106333296464104096442766675831068812680466e-08, + 1.408663721444152455727196509866657267275259238167897249854527e-08, + -4.438471764420978016551707826632529934591397495469950610230150e-09, + -2.974872318653716789002892729632634360902192191395110942422961e-09, + 8.203736354629479986724051586473684219941281670765722417668819e-10, + 5.614906982011763291961026759329761169245818883997411717426871e-10, + -1.344369082215606926514414754427875310059984578418456061162278e-10, + -9.377858898150921640144384471918102613403240839501295781875527e-11, + 1.928845257086926701816336874687366534718638777936590534635229e-11, + 1.369011182657074022662376575505428888871791726174235399548870e-11, + -2.384934840461770473688929159579828219691317417791483110727798e-12, + -1.719778967631011393923929779685944798509748321140853638527672e-12, + 2.489379237039083598560573205355055108535626207998662168681925e-13, + 1.821429711569697474507499816102915339752696477298299745504329e-13, + -2.132622020734041001406592439010728287329439597809749096351270e-14, + -1.581480392919139876757416822279485491215786823105416373080481e-14, + 1.439584163156225165032712921349710482363055530913169445190637e-15, + 1.080870877608085873106724565550332487149959687560803170944524e-15, + -7.178988398852581130761463819471838970960348029733518906208378e-17, + -5.452456075593213060858973182314766684639894698667113525487884e-17, + 2.351146114661327422889598894161189162646924206890382575430334e-18, + 1.804873032260938513483901979969512893697634895683128101624000e-18, + -3.793093840880643734719632714511071568608235299231836638122279e-20, + -2.940897685979289093951754752537580047693528343881245635936847e-20 +}; + +static const double coif16[96] = { + 2.645128227931334401194749017856094903839224759604187535975348e-11, + -3.371203198492327805593180795398582247961552853458158404332701e-11, + -8.582602955015851169989985547605915833769704579350018283905453e-10, + 1.113682743874024896922872631560006089322116513037553196433140e-09, + 1.350357555669007302187662129540475982947984508250679168402207e-08, + -1.788542662216945768696335511240007863403120034978963421466759e-08, + -1.372399767643349435868829666738563944471884881660198607643932e-07, + 1.861142798232072777457875152815716474831537306031011659394987e-07, + 1.012632916853084889127303847166996705778109099232881893357767e-06, + -1.411391218929900871875409836854758822959995175269209988265964e-06, + -5.780354906513060544090253238716694637224354416047278875195167e-06, + 8.319552925349192408642980463945086193729912325909182155797371e-06, + 2.656172937335282438452193694808438866757101525885555802877363e-05, + -3.971488503705784806195172735954055483778562353132473949420383e-05, + 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-1.232185691522856953729451450757280208371851915642712294292861e-08, + -8.166093443152050070015881861916421702970930717440939870025784e-09, + 2.625409011502555900921203294713520941212542142978903897341494e-09, + 1.777971486566651937150629742259638331676290922471013840418127e-09, + -5.055670327267217324394512474432436609546961385665820073629149e-10, + -3.491603047784209234885018449563067499142505674739795662842523e-10, + 8.724442027269310202793317644100398216549268990858642429012803e-11, + 6.134056646089015827615754897419277972739575045939973674430929e-11, + -1.335550933533140093069772884082926341856038121300357216420744e-11, + -9.545001301055681232254913151946668780573427381542116387716243e-12, + 1.791132091052570705585609717173338686203233385162086497884597e-12, + 1.299479612944140546458425080979636378248568664374156541007765e-12, + -2.071542478174027600308270770710599707024301130761618879837078e-13, + -1.523876419589572596433135600175398293765409391592690642809664e-13, + 2.024011564013098795384504309899456379953546444981404140928647e-14, + 1.508090533430543564179721448102668377867975040540446828012097e-14, + -1.624316869855319846554453444493486257563508484962017834581348e-15, + -1.224719779181149805165600696876308523367619824015832031858679e-15, + 1.027939569018525333323110570745538777072560620646729968488678e-16, + 7.836461641294003176782800892601140107677607857155479918585838e-17, + -4.809623970748619654544928861639842603928203458148585584400867e-18, + -3.704428468500691125388142845245956973807333959654959653370468e-18, + 1.479077310414365270465857340835402997778146774718460154867300e-19, + 1.150168591577669048697174066699145993471476194503387272230234e-19, + -2.242407694525583556140058750006128491924916204038852290292985e-21, + -1.759447752651847364048938898264828071373418617420955762135442e-21 + +}; +static const double coif17[102] = { + -6.500464389707599365209386548586351053892021378458138653304423e-12, + 8.195092532207287031929315133511822259455558174314608981943899e-12, + 2.239711179183031212893330219097909418305437894719629936823048e-10, + -2.869947756536888954496920486027606890198732779175975385193469e-10, + -3.748652869247186892176371615982066497362408141014325378716294e-09, + 4.892949218890121214706505923918329440794016605904313473814529e-09, + 4.060535996907768482760233032378242455655290824022613838518523e-08, + -5.412800273268200651966255945372126329232373624996043338727765e-08, + -3.199646878369895994575449942065193991181771279589753273012370e-07, + 4.369727725871308893880916467851990680716049438182815833632030e-07, + 1.954675426993304663744299195821942913722501797065421760283585e-06, + -2.745513146733188764932399232387671708256227137296795085887882e-06, + -9.634412972188383779747780077033215938910939748761965263335434e-06, + 1.398510128440620079969365258470536422184684456048432702271769e-05, + 3.936982972446342694180294131275967364969863087882012583523302e-05, + 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4.292055861596262214973257156936151304056714777314126061614130e-02, + 1.795390690266262592020002418739607395852481356276768335967618e-02, + -9.116513012907441746922273129338011409075492893988681588200024e-02, + -2.259372514218996220695158554614204610976204851195489170219594e-02, + 3.111155431954246180810318298644662465180042749292370227009409e-01, + 5.255791920096491971882691260862499824764740619924123678110320e-01, + 3.169526419329032746356987532605638232939637480462148442295005e-01, + -2.611571666365402171510563042119336240297149649416458785911946e-02, + -9.675954853667507935197631998670465823029201914294383672129969e-02, + 2.409947009460623399471523812196780471148876929014194101062573e-02, + 4.803353218498044015416060073004473385881416575908077296603559e-02, + -2.014561229992014297122142514992242081365435497050595479226927e-02, + -2.582061660161950684110954569039206647948969052599286532681994e-02, + 1.529272640253308240084109219531756056459883643674183337274434e-02, + 1.388071397467832912373059115868453151221079623138136285750566e-02, + -1.057221105345110246802817506341466648095287774314054180322389e-02, + -7.302762653438232901227689142950547329538140829539078289487808e-03, + 6.679525479155670944534388145244600799904556867195771509687913e-03, + 3.753327910175261617061638983698597354605196849112621375976962e-03, + -3.873502044238494209221075063035775273773018743760471430473527e-03, + -1.893732606269440797293869629956889668362203362383552157238979e-03, + 2.072543024867895178559272835210161485056077281253166510139696e-03, + 9.410418747008923962829724903349867736584130840706583199324136e-04, + -1.029236208596613388068225340603899734435060101885503041426292e-03, + -4.591014336769466560134513688989777037625141817691452272446129e-04, + 4.773008760819621131157362935521176506345390013016953367673484e-04, + 2.178204082961996755621953357319268908714183698410765755733914e-04, + -2.078309675413889310430737904787028903664009273165646558840663e-04, + 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7.261651917558697862566637161896385928154192436065001744633099e-08, + -2.947980283978599533805321526934370923141985995773718687989809e-08, + -1.932361910368835906234029388933678481624943182582035193495632e-08, + 7.050321193690929766855893625237523724477327743751448148520006e-09, + 4.725540898626838453733797773219853119997567959454100093653807e-09, + -1.544890271654104814899353348226128082357337920194464818206503e-09, + -1.056616142600432792887732860128652200494175165768667682069691e-09, + 3.082594659999300699574359679210901640096775130739951087627160e-10, + 2.147504833829198392113195006888709994262573995228896673552773e-10, + -5.561286894620042086964943668161558452409502342704415471486767e-11, + -3.940143496183440249847057247704879900653366187527397859030185e-11, + 8.995643580413385770110048797179920790859544777777746910312038e-12, + 6.472787221353141291937900214024339897450801045313739690950453e-12, + -1.291529680835762905157565016413333440330657604408304192114484e-12, + -9.426669651972276882689445158605509492502686267040217113580068e-13, + 1.625527264466347733962941488626801955710436180523082414371005e-13, + 1.202192377372031845627082725619201334357843245869818759928528e-13, + -1.765518459644471564018808330096255160185888800253188548281582e-14, + -1.321779015475951542862804164493083633990380882447565336832597e-14, + 1.621075287427611093636143991429535087675201571842337901672180e-15, + 1.227498087932053340876125326218310922521150243946862677354389e-15, + -1.223432402366205698930334886661193082730379267225732134795174e-16, + -9.362464931639200345906241184043712676525956780242932081695469e-17, + 7.286307451400376946525901096753718888478670661483802452725131e-18, + 5.631244920089436674573794405513798919334447045845529038034991e-18, + -3.210669220728058803342344742726907080377349121830123276313938e-19, + -2.504389307995414770751414118526232971373346964470499339128194e-19, + 9.305380936099856808127703965979897197171695480831630403884988e-21, + 7.321457794081650002123376485818067154029026613875178979778160e-21, + -1.330546671429478643380151195298922795778536160301584472334406e-22, + -1.055408614665356789775787814731337905514088897800715301399902e-22 +}; + + +static const double sym2[4] = { + 0.48296291314469025, 0.83651630373746899, + 0.22414386804185735, -0.12940952255092145 }; + + +static const double sym3[6] = { + 0.33267055295095688, 0.80689150931333875, + 0.45987750211933132, -0.13501102001039084, + -0.085441273882241486, 0.035226291882100656 }; + +static const double sym4[8] = { + 0.032223100604042702, -0.012603967262037833, + -0.099219543576847216, 0.29785779560527736, + 0.80373875180591614, 0.49761866763201545, + -0.02963552764599851, -0.075765714789273325 }; + +static const double sym5[10] = { + 0.019538882735286728, -0.021101834024758855, + -0.17532808990845047, 0.016602105764522319, + 0.63397896345821192, 0.72340769040242059, + 0.1993975339773936, -0.039134249302383094, + 0.029519490925774643, 0.027333068345077982 }; + +static const double sym6[12] = { + -0.007800708325034148, 0.0017677118642428036, + 0.044724901770665779, -0.021060292512300564, + -0.072637522786462516, 0.3379294217276218, + 0.787641141030194, 0.49105594192674662, + -0.048311742585632998, -0.11799011114819057, + 0.0034907120842174702, 0.015404109327027373 }; + +static const double sym7[14] = { + 0.010268176708511255, 0.0040102448715336634, + -0.10780823770381774, -0.14004724044296152, + 0.28862963175151463, 0.76776431700316405, + 0.5361019170917628, 0.017441255086855827, + -0.049552834937127255, 0.067892693501372697, + 0.03051551316596357, -0.01263630340325193, + -0.0010473848886829163, 0.0026818145682578781 }; + +static const double sym8[16] = { + 0.0018899503327594609, -0.0003029205147213668, + -0.014952258337048231, 0.0038087520138906151, + 0.049137179673607506, -0.027219029917056003, + -0.051945838107709037, 0.3644418948353314, + 0.77718575170052351, 0.48135965125837221, + -0.061273359067658524, -0.14329423835080971, + 0.0076074873249176054, 0.031695087811492981, + -0.00054213233179114812, -0.0033824159510061256 }; + +static const double sym9[18] = { + 0.0010694900329086053, -0.00047315449868008311, + -0.010264064027633142, 0.0088592674934004842, + 0.06207778930288603, -0.018233770779395985, + -0.19155083129728512, 0.035272488035271894, + 0.61733844914093583, 0.717897082764412, + 0.238760914607303, -0.054568958430834071, + 0.00058346274612580684, 0.03022487885827568, + -0.01152821020767923, -0.013271967781817119, + 0.00061978088898558676, 0.0014009155259146807 }; + +static const double sym10[20] = { + -0.00045932942100465878, 5.7036083618494284e-005, + 0.0045931735853118284, -0.00080435893201654491, + -0.02035493981231129, 0.0057649120335819086, + 0.049994972077376687, -0.0319900568824278, + -0.035536740473817552, 0.38382676106708546, + 0.7695100370211071, 0.47169066693843925, + -0.070880535783243853, -0.15949427888491757, + 0.011609893903711381, 0.045927239231092203, + -0.0014653825813050513, -0.0086412992770224222, + 9.5632670722894754e-005, 0.00077015980911449011 }; + +static const double sym11[22] = { + 0.00048926361026192387, 0.00011053509764272153, + -0.0063896036664548919, -0.0020034719001093887, + 0.043000190681552281, 0.035266759564466552, + -0.14460234370531561, -0.2046547944958006, + 0.23768990904924897, 0.73034354908839572, + 0.57202297801008706, 0.097198394458909473, + -0.022832651022562687, 0.069976799610734136, + 0.0370374159788594, -0.024080841595864003, + -0.0098579348287897942, 0.0065124956747714497, + 0.00058835273539699145, -0.0017343662672978692, + -3.8795655736158566e-005, 0.00017172195069934854 }; + +static const double sym12[24] = { + -0.00017906658697508691, -1.8158078862617515e-005, + 0.0023502976141834648, 0.00030764779631059454, + -0.014589836449234145, -0.0026043910313322326, + 0.057804179445505657, 0.01530174062247884, + -0.17037069723886492, -0.07833262231634322, + 0.46274103121927235, 0.76347909778365719, + 0.39888597239022, -0.022162306170337816, + -0.035848830736954392, 0.049179318299660837, + 0.0075537806116804775, -0.024220722675013445, + -0.0014089092443297553, 0.007414965517654251, + 0.00018021409008538188, -0.0013497557555715387, + -1.1353928041541452e-005, 0.00011196719424656033 }; + +static const double sym13[26] = { + 7.0429866906944016e-005, 3.6905373423196241e-005, + -0.0007213643851362283, 0.00041326119884196064, + 0.0056748537601224395, -0.0014924472742598532, + -0.020749686325515677, 0.017618296880653084, + 0.092926030899137119, 0.0088197576704205465, + -0.14049009311363403, 0.11023022302137217, + 0.64456438390118564, 0.69573915056149638, + 0.19770481877117801, -0.12436246075153011, + -0.059750627717943698, 0.013862497435849205, + -0.017211642726299048, -0.02021676813338983, + 0.0052963597387250252, 0.0075262253899680996, + -0.00017094285853022211, -0.0011360634389281183, + -3.5738623648689009e-005, 6.8203252630753188e-005 }; + +static const double sym14[28] = { + 4.4618977991475265e-005, 1.9329016965523917e-005, + -0.00060576018246643346, -7.3214213567023991e-005, + 0.0045326774719456481, 0.0010131419871842082, + -0.019439314263626713, -0.0023650488367403851, + 0.069827616361807551, 0.025898587531046669, + -0.15999741114652205, -0.058111823317717831, + 0.47533576263420663, 0.75997624196109093, + 0.39320152196208885, -0.035318112114979733, + -0.057634498351326995, 0.037433088362853452, + 0.0042805204990193782, -0.029196217764038187, + -0.0027537747912240711, 0.010037693717672269, + 0.00036647657366011829, -0.002579441725933078, + -6.2865424814776362e-005, 0.00039843567297594335, + 1.1210865808890361e-005, -2.5879090265397886e-005 }; + +static const double sym15[30] = { + 2.8660708525318081e-005, 2.1717890150778919e-005, + -0.00040216853760293483, -0.00010815440168545525, + 0.003481028737064895, 0.0015261382781819983, + -0.017171252781638731, -0.0087447888864779517, + 0.067969829044879179, 0.068393310060480245, + -0.13405629845625389, -0.1966263587662373, + 0.2439627054321663, 0.72184302963618119, + 0.57864041521503451, 0.11153369514261872, + -0.04108266663538248, 0.040735479696810677, + 0.021937642719753955, -0.038876716876833493, + -0.019405011430934468, 0.010079977087905669, + 0.003423450736351241, -0.0035901654473726417, + -0.00026731644647180568, 0.0010705672194623959, + 5.5122547855586653e-005, -0.00016066186637495343, + -7.3596667989194696e-006, 9.7124197379633478e-006 }; + +static const double sym16[32] = { + -1.0797982104319795e-005, -5.3964831793152419e-006, + 0.00016545679579108483, 3.656592483348223e-005, + -0.0013387206066921965, -0.00022211647621176323, + 0.0069377611308027096, 0.001359844742484172, + -0.024952758046290123, -0.0035102750683740089, + 0.078037852903419913, 0.03072113906330156, + -0.15959219218520598, -0.054040601387606135, + 0.47534280601152273, 0.75652498787569711, + 0.39712293362064416, -0.034574228416972504, + -0.066983049070217779, 0.032333091610663785, + 0.0048692744049046071, -0.031051202843553064, + -0.0031265171722710075, 0.012666731659857348, + 0.00071821197883178923, -0.0038809122526038786, + -0.0001084456223089688, 0.00085235471080470952, + 2.8078582128442894e-005, -0.00010943147929529757, + -3.1135564076219692e-006, 6.2300067012207606e-006 }; + +static const double sym17[34] = { + 3.7912531943321266e-006, -2.4527163425832999e-006, + -7.6071244056051285e-005, 2.5207933140828779e-005, + 0.0007198270642148971, 5.8400428694052584e-005, + -0.0039323252797979023, -0.0019054076898526659, + 0.012396988366648726, 0.0099529825235095976, + -0.01803889724191924, -0.0072616347509287674, + 0.016158808725919346, -0.086070874720733381, + -0.15507600534974825, 0.18053958458111286, + 0.68148899534492502, 0.65071662920454565, + 0.14239835041467819, -0.11856693261143636, + 0.0172711782105185, 0.10475461484223211, + 0.017903952214341119, -0.033291383492359328, + -0.0048192128031761478, 0.010482366933031529, + 0.0008567700701915741, -0.0027416759756816018, + -0.00013864230268045499, 0.0004759963802638669, + -1.3506383399901165e-005, -6.2937025975541919e-005, + 2.7801266938414138e-006, 4.297343327345983e-006 }; + +static const double sym18[36] = { + -1.5131530692371587e-006, 7.8472980558317646e-007, + 2.9557437620930811e-005, -9.858816030140058e-006, + -0.00026583011024241041, 4.7416145183736671e-005, + 0.0014280863270832796, -0.00018877623940755607, + -0.0052397896830266083, 0.0010877847895956929, + 0.015012356344250213, -0.0032607442000749834, + -0.031712684731814537, 0.0062779445543116943, + 0.028529597039037808, -0.073799207290607169, + -0.032480573290138676, 0.40148386057061813, + 0.75362914010179283, 0.47396905989393956, + -0.052029158983952786, -0.15993814866932407, + 0.033995667103947358, 0.084219929970386548, + -0.0050770851607570529, -0.030325091089369604, + 0.0016429863972782159, 0.0095021643909623654, + -0.00041152110923597756, -0.0023138718145060992, + 7.0212734590362685e-005, 0.00039616840638254753, + -1.4020992577726755e-005, -4.5246757874949856e-005, + 1.354915761832114e-006, 2.6126125564836423e-006 }; + +static const double sym19[38] = { + 1.7509367995348687e-006, 2.0623170632395688e-006, + -2.8151138661550245e-005, -1.6821387029373716e-005, + 0.00027621877685734072, 0.00012930767650701415, + -0.0017049602611649971, -0.00061792232779831076, + 0.0082622369555282547, 0.0043193518748949689, + -0.027709896931311252, -0.016908234861345205, + 0.084072676279245043, 0.093630843415897141, + -0.11624173010739675, -0.17659686625203097, + 0.25826616923728363, 0.71955552571639425, + 0.57814494533860505, 0.10902582508127781, + -0.067525058040294086, 0.0089545911730436242, + 0.0070155738571741596, -0.046635983534938946, + -0.022651993378245951, 0.015797439295674631, + 0.0079684383206133063, -0.005122205002583014, + -0.0011607032572062486, 0.0021214250281823303, + 0.00015915804768084938, -0.00063576451500433403, + -4.6120396002105868e-005, 0.0001155392333357879, + 8.8733121737292863e-006, -1.1880518269823984e-005, + -6.4636513033459633e-007, 5.4877327682158382e-007 }; + +static const double sym20[40] = { + -6.3291290447763946e-007, -3.2567026420174407e-007, + 1.22872527779612e-005, 4.5254222091516362e-006, + -0.00011739133516291466, -2.6615550335516086e-005, + 0.00074761085978205719, 0.00012544091723067259, + -0.0034716478028440734, -0.0006111263857992088, + 0.012157040948785737, 0.0019385970672402002, + -0.035373336756604236, -0.0068437019650692274, + 0.088919668028199561, 0.036250951653933078, + -0.16057829841525254, -0.051088342921067398, + 0.47199147510148703, 0.75116272842273002, + 0.40583144434845059, -0.029819368880333728, + -0.078994344928398158, 0.025579349509413946, + 0.0081232283560096815, -0.031629437144957966, + -0.0033138573836233591, 0.017004049023390339, + 0.0014230873594621453, -0.0066065857990888609, + -0.0003052628317957281, 0.0020889947081901982, + 7.2159911880740349e-005, -0.00049473109156726548, + -1.928412300645204e-005, 7.992967835772481e-005, + 3.0256660627369661e-006, -7.919361411976999e-006, + -1.9015675890554106e-007, 3.695537474835221e-007 }; + + +static const double h1[10] = { 0.0, 0.0, 0.0, 0.0, +0.70710678118654752440084436210, +0.70710678118654752440084436210, +0.0, 0.0, 0.0, 0.0 }; + +static const double hm1_11[2] = { 0.70710678118654752440084436210, +0.70710678118654752440084436210 }; + +static const double hm1_13[6] = { -0.0883883476483184405501055452631, +0.0883883476483184405501055452631, +0.70710678118654752440084436210, +0.70710678118654752440084436210, +0.0883883476483184405501055452631, +-0.0883883476483184405501055452631 }; + +static const double hm1_15[10] = { 0.0165728151840597076031447897368, +-0.0165728151840597076031447897368, +-0.1215339780164378557563951247368, +0.1215339780164378557563951247368, +0.70710678118654752440084436210, +0.70710678118654752440084436210, +0.1215339780164378557563951247368, +-0.1215339780164378557563951247368, +-0.0165728151840597076031447897368, +0.0165728151840597076031447897368 }; + + +static const double h2[18] = { 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, +0.3535533905932737622004221810524, +0.7071067811865475244008443621048, +0.3535533905932737622004221810524, +0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, +0.0 }; + +static const double hm2_22[6] = { -0.1767766952966368811002110905262, +0.3535533905932737622004221810524, +1.0606601717798212866012665431573, +0.3535533905932737622004221810524, +-0.1767766952966368811002110905262, +0.0 }; + +static const double hm2_24[10] = { 0.0331456303681194152062895794737, +-0.0662912607362388304125791589473, +-0.1767766952966368811002110905262, +0.4198446513295125926130013399998, +0.9943689110435824561886873842099, +0.4198446513295125926130013399998, +-0.1767766952966368811002110905262, +-0.0662912607362388304125791589473, +0.0331456303681194152062895794737, +0.0 }; + +static const double hm2_26[14] = { -0.0069053396600248781679769957237, +0.0138106793200497563359539914474, +0.0469563096881691715422435709210, +-0.1077232986963880994204411332894, +-0.1698713556366120029322340948025, +0.4474660099696121052849093228945, +0.9667475524034829435167794013152, +0.4474660099696121052849093228945, +-0.1698713556366120029322340948025, +-0.1077232986963880994204411332894, +0.0469563096881691715422435709210, +0.0138106793200497563359539914474, +-0.0069053396600248781679769957237, +0.0 }; + +static const double hm2_28[18] = { 0.0015105430506304420992449678146, +-0.0030210861012608841984899356291, +-0.0129475118625466465649568669819, +0.0289161098263541773284036695929, +0.0529984818906909399392234421792, +-0.1349130736077360572068505539514, +-0.1638291834340902345352542235443, +0.4625714404759165262773590010400, +0.9516421218971785225243297231697, +0.4625714404759165262773590010400, +-0.1638291834340902345352542235443, +-0.1349130736077360572068505539514, +0.0529984818906909399392234421792, +0.0289161098263541773284036695929, +-0.0129475118625466465649568669819, +-0.0030210861012608841984899356291, +0.0015105430506304420992449678146, +0.0 }; + +static const double h3[20] = { 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, +0.1767766952966368811002110905262, +0.5303300858899106433006332715786, +0.5303300858899106433006332715786, +0.1767766952966368811002110905262, +0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 }; +static const double hm3_31[4] = { -0.3535533905932737622004221810524, +1.0606601717798212866012665431573, +1.0606601717798212866012665431573, +-0.3535533905932737622004221810524 }; + +static const double hm3_33[8] = { 0.0662912607362388304125791589473, +-0.1988737822087164912377374768420, +-0.1546796083845572709626847042104, +0.9943689110435824561886873842099, +0.9943689110435824561886873842099, +-0.1546796083845572709626847042104, +-0.1988737822087164912377374768420, +0.0662912607362388304125791589473 }; + +static const double hm3_35[12] = { -0.0138106793200497563359539914474, +0.0414320379601492690078619743421, +0.0524805814161890740766251675000, +-0.2679271788089652729175074340788, +-0.0718155324642587329469607555263, +0.9667475524034829435167794013152, +0.9667475524034829435167794013152, +-0.0718155324642587329469607555263, +-0.2679271788089652729175074340788, +0.0524805814161890740766251675000, +0.0414320379601492690078619743421, +-0.0138106793200497563359539914474 }; + +static const double hm3_37[16] = { 0.0030210861012608841984899356291, +-0.0090632583037826525954698068873, +-0.0168317654213106405344439270765, +0.0746639850740189951912512662623, +0.0313329787073628846871956180962, +-0.3011591259228349991008967259990, +-0.0264992409453454699696117210896, +0.9516421218971785225243297231697, +0.9516421218971785225243297231697, +-0.0264992409453454699696117210896, +-0.3011591259228349991008967259990, +0.0313329787073628846871956180962, +0.0746639850740189951912512662623, +-0.0168317654213106405344439270765, +-0.0090632583037826525954698068873, +0.0030210861012608841984899356291 }; + + +static const double hm3_39[20] = { -0.0006797443727836989446602355165, +0.0020392331183510968339807065496, +0.0050603192196119810324706421788, +-0.0206189126411055346546938106687, +-0.0141127879301758447558029850103, +0.0991347824942321571990197448581, +0.0123001362694193142367090236328, +-0.3201919683607785695513833204624, +0.0020500227115698857061181706055, +0.9421257006782067372990864259380, +0.9421257006782067372990864259380, +0.0020500227115698857061181706055, +-0.3201919683607785695513833204624, +0.0123001362694193142367090236328, +0.0991347824942321571990197448581, +-0.0141127879301758447558029850103, +-0.0206189126411055346546938106687, +0.0050603192196119810324706421788, +0.0020392331183510968339807065496, +-0.0006797443727836989446602355165 }; + + +static const double h4[10] = { + 0.0, -0.064538882628697058, + -0.040689417609164058, 0.41809227322161724, + 0.7884856164055829, 0.41809227322161724, + -0.040689417609164058, -0.064538882628697058, + 0.0, 0.0 }; + +static const double hm4_44[10] = { + 0.03782845550726404, -0.023849465019556843, + -0.11062440441843718, 0.37740285561283066, + 0.85269867900889385, 0.37740285561283066, + -0.11062440441843718, -0.023849465019556843, + 0.03782845550726404, 0.0 }; + +static const double h5[12] = { + 0.013456709459118716, -0.0026949668801115071, + -0.13670658466432914, -0.093504697400938863, + 0.47680326579848425, 0.89950610974864842, + 0.47680326579848425, -0.093504697400938863, + -0.13670658466432914, -0.0026949668801115071, + 0.013456709459118716, 0.0 }; + +static const double hm5_55[12] = { + 0.0, 0.03968708834740544, + 0.0079481086372403219, -0.054463788468236907, + 0.34560528195603346, 0.73666018142821055, + 0.34560528195603346, -0.054463788468236907, + 0.0079481086372403219, 0.03968708834740544, + 0.0, 0.0 }; + +static const double h6[18] = { + 0.0, 0.0, + 0.0, 0.014426282505624435, + 0.014467504896790148, -0.078722001062628819, + -0.040367979030339923, 0.41784910915027457, + 0.75890772945365415, 0.41784910915027457, + -0.040367979030339923, -0.078722001062628819, + 0.014467504896790148, 0.014426282505624435, + 0.0, 0.0, + 0.0, 0.0 }; + +static const double hm6_68[18] = { + 0.0019088317364812906, -0.0019142861290887667, + -0.016990639867602342, 0.01193456527972926, + 0.04973290349094079, -0.077263173167204144, + -0.09405920349573646, 0.42079628460982682, + 0.82592299745840225, 0.42079628460982682, + -0.09405920349573646, -0.077263173167204144, + 0.04973290349094079, 0.01193456527972926, + -0.016990639867602342, -0.0019142861290887667, + 0.0019088317364812906, 0.0 }; + int filtlength(const char* name) { int len = strlen(name); int i = 0; @@ -1668,58 +3104,90 @@ int filtlength(const char* name) { else if (!strcmp(name,"bior6.8")){ return 18; } + else if (!strcmp(name, "rbior1.1")){ + return 2; + } - else if (!strcmp(name,"coif1")){ - return 6; - } - else if (!strcmp(name,"coif2")){ - return 12; - } - else if (!strcmp(name,"coif3")){ - return 18; - } - else if (!strcmp(name,"coif4")){ - return 24; - } - else if (!strcmp(name,"coif5")){ - return 30; - } + else if (!strcmp(name, "rbior1.3")){ + return 6; + } - else if (!strcmp(name,"sym2")){ - return 4; - } + else if (!strcmp(name, "rbior1.5")){ + return 10; + } - else if (!strcmp(name,"sym3")){ - return 6; - } + else if (!strcmp(name, "rbior2.2")){ + return 6; + } - else if (!strcmp(name,"sym4")){ - return 8; - } + else if (!strcmp(name, "rbior2.4")){ + return 10; + } - else if (!strcmp(name,"sym5")){ - return 10; - } + else if (!strcmp(name, "rbior2.6")){ + return 14; + } + else if (!strcmp(name, "rbior2.8")){ + return 18; + } - else if (!strcmp(name,"sym6")){ - return 12; - } + else if (!strcmp(name, "rbior3.1")){ + return 4; + } + else if (!strcmp(name, "rbior3.3")){ + return 8; + } + else if (!strcmp(name, "rbior3.5")){ + return 12; + } - else if (!strcmp(name,"sym7")){ - return 14; - } + else if (!strcmp(name, "rbior3.7")){ + return 16; + } + else if (!strcmp(name, "rbior3.9")){ + return 20; + } + else if (!strcmp(name, "rbior4.4")){ + return 10; + } + else if (!strcmp(name, "rbior5.5")){ + return 12; + } + else if (!strcmp(name, "rbior6.8")){ + return 18; + } + else if (len > 4 && strstr(name, "coif") != NULL) + { + new_str = malloc(sizeof(char)*(len - 4 + 1)); + for (i = 4; i < len + 1; i++) + new_str[i - 4] = name[i]; - else if (!strcmp(name,"sym8")){ - return 16; - } + N = atoi(new_str); + free(new_str); + if (N>17) + { + printf("\n Filter Not in Database \n"); + return -1; + } - else if (!strcmp(name,"sym9")){ - return 18; - } + return N * 6; + } + else if (len > 3 && strstr(name, "sym") != NULL) + { + new_str = malloc(sizeof(char)*(len - 3 + 1)); + for (i = 3; i < len + 1; i++) + new_str[i - 3] = name[i]; - else if (!strcmp(name,"sym10")){ - return 20; - } + N = atoi(new_str); + free(new_str); + if (N>20 || N < 2) + { + printf("\n Filter Not in Database \n"); + return -1; + } + + return N * 2; + } else { printf("\n Filter Not in Database \n"); return -1; @@ -1978,7 +3446,6 @@ int filtcoef(const char* name, double *lp1, double *hp1, double *lp2, double *hp qmf_wrev(db26, N, hp1); copy(db26, N, lp2); qmf_even(db26, N, hp2); - return N; } else if (!strcmp(name, "db27")){ @@ -2078,1950 +3545,653 @@ int filtcoef(const char* name, double *lp1, double *hp1, double *lp2, double *hp return N; } else if (!strcmp(name,"bior1.1")){ - double lp1_a[] = { 0.70710678118654757, - 0.70710678118654757 - }; - - double hp1_a[] = { -0.70710678118654757, - 0.70710678118654757 - }; - - double lp2_a[] = { 0.70710678118654757, - 0.70710678118654757 - }; - - double hp2_a[] = { 0.70710678118654757, - -0.70710678118654757 - }; - for (i = 0; i < 2; ++i) { - lp1[i] = lp1_a[i]; - hp1[i] = hp1_a[i]; - lp2[i] = lp2_a[i]; - hp2[i] = hp2_a[i]; - } - return 2; + copy_reverse(hm1_11, N, lp1); + qmf_wrev(h1 + 4, N, hp1); + copy(h1 + 4, N, lp2); + qmf_even(hm1_11, N, hp2); + return N; } else if (!strcmp(name,"bior1.3")){ - double lp1_a[] = { -0.088388347648318447, - 0.088388347648318447, - 0.70710678118654757, - 0.70710678118654757, - 0.088388347648318447, - -0.088388347648318447, - }; - - double hp1_a[] = { 0.0, - 0.0, - -0.70710678118654757, - 0.70710678118654757, - 0.0, - 0.0 - }; - - double lp2_a[] = { 0.0, - 0.0, - 0.70710678118654757, - 0.70710678118654757, - 0.0, - 0.0 - }; - - double hp2_a[] = { -0.088388347648318447, - -0.088388347648318447, - 0.70710678118654757, - -0.70710678118654757, - 0.088388347648318447, - 0.088388347648318447 - }; - for (i = 0; i < 6; ++i) { - lp1[i] = lp1_a[i]; - hp1[i] = hp1_a[i]; - lp2[i] = lp2_a[i]; - hp2[i] = hp2_a[i]; - } - return 6; + copy_reverse(hm1_13, N, lp1); + qmf_wrev(h1 + 2, N, hp1); + copy(h1 + 2, N, lp2); + qmf_even(hm1_13, N, hp2); + return N; } else if (!strcmp(name,"bior1.5")){ - double lp1_a[] = { 0.01657281518405971, - -0.01657281518405971, - -0.12153397801643787, - 0.12153397801643787, - 0.70710678118654757, - 0.70710678118654757, - 0.12153397801643787, - -0.12153397801643787, - -0.01657281518405971, - 0.01657281518405971 - }; - - double hp1_a[] = { 0.0, - 0.0, - 0.0, - 0.0, - -0.70710678118654757, - 0.70710678118654757, - 0.0, - 0.0, - 0.0, - 0.0 - }; - - double lp2_a[] = { 0.0, - 0.0, - 0.0, - 0.0, - 0.70710678118654757, - 0.70710678118654757, - 0.0, - 0.0, - 0.0, - 0.0 - }; - - double hp2_a[] = { 0.01657281518405971, - 0.01657281518405971, - -0.12153397801643787, - -0.12153397801643787, - 0.70710678118654757, - -0.70710678118654757, - 0.12153397801643787, - 0.12153397801643787, - -0.01657281518405971, - -0.01657281518405971 - }; - for (i = 0; i < 10; ++i) { - lp1[i] = lp1_a[i]; - hp1[i] = hp1_a[i]; - lp2[i] = lp2_a[i]; - hp2[i] = hp2_a[i]; - } - return 10; + copy_reverse(hm1_15, N, lp1); + qmf_wrev(h1, N, hp1); + copy(h1, N, lp2); + qmf_even(hm1_15, N, hp2); + return N; } else if (!strcmp(name,"bior2.2")){ - double lp1_a[] = { 0.0, - -0.17677669529663689, - 0.35355339059327379, - 1.0606601717798214, - 0.35355339059327379, - -0.17677669529663689 - }; - - double hp1_a[] = { 0.0, - 0.35355339059327379, - -0.70710678118654757, - 0.35355339059327379, - 0.0, - 0.0 - }; - - double lp2_a[] = { 0.0, - 0.35355339059327379, - 0.70710678118654757, - 0.35355339059327379, - 0.0, - 0.0 - }; - - double hp2_a[] = { 0.0, - 0.17677669529663689, - 0.35355339059327379, - -1.0606601717798214, - 0.35355339059327379, - 0.17677669529663689 - - }; - for (i = 0; i < 6; ++i) { - lp1[i] = lp1_a[i]; - hp1[i] = hp1_a[i]; - lp2[i] = lp2_a[i]; - hp2[i] = hp2_a[i]; - } - return 6; + copy_reverse(hm2_22, N, lp1); + qmf_wrev(h2 + 6, N, hp1); + copy(h2 + 6, N, lp2); + qmf_even(hm2_22, N, hp2); + return N; } - - else if (!strcmp(name,"bior2.4")){ - double lp1_a[] = { 0.0, - 0.033145630368119419, - -0.066291260736238838, - -0.17677669529663689, - 0.4198446513295126, - 0.99436891104358249, - 0.4198446513295126, - -0.17677669529663689, - -0.066291260736238838, - 0.033145630368119419 - }; - - double hp1_a[] = { 0.0, - 0.0, - 0.0, - 0.35355339059327379, - -0.70710678118654757, - 0.35355339059327379, - 0.0, - 0.0, - 0.0, - 0.0 - - }; - - double lp2_a[] = { 0.0, - 0.0, - 0.0, - 0.35355339059327379, - 0.70710678118654757, - 0.35355339059327379, - 0.0, - 0.0, - 0.0, - 0.0 - - }; - - double hp2_a[] = { 0.0, - -0.033145630368119419, - -0.066291260736238838, - 0.17677669529663689, - 0.4198446513295126, - -0.99436891104358249, - 0.4198446513295126, - 0.17677669529663689, - -0.066291260736238838, - -0.033145630368119419 - }; - for (i = 0; i < 10; ++i) { - lp1[i] = lp1_a[i]; - hp1[i] = hp1_a[i]; - lp2[i] = lp2_a[i]; - hp2[i] = hp2_a[i]; - } - return 10; - } - + else if (!strcmp(name, "bior2.4")){ + copy_reverse(hm2_24, N, lp1); + qmf_wrev(h2 + 4, N, hp1); + copy(h2 + 4, N, lp2); + qmf_even(hm2_24, N, hp2); + return N; + } else if (!strcmp(name,"bior2.6")){ - double lp1_a[] = { 0.0, - -0.0069053396600248784, - 0.013810679320049757, - 0.046956309688169176, - -0.10772329869638811, - -0.16987135563661201, - 0.44746600996961211, - 0.96674755240348298, - 0.44746600996961211, - -0.16987135563661201, - -0.10772329869638811, - 0.046956309688169176, - 0.013810679320049757, - -0.0069053396600248784 - }; - - double hp1_a[] = { 0.0, - 0.0, - 0.0, - 0.0, - 0.0, - 0.35355339059327379, - -0.70710678118654757, - 0.35355339059327379, - 0.0, - 0.0, - 0.0, - 0.0, - 0.0, - 0.0 - }; - - double lp2_a[] = { 0.0, - 0.0, - 0.0, - 0.0, - 0.0, - 0.35355339059327379, - 0.70710678118654757, - 0.35355339059327379, - 0.0, - 0.0, - 0.0, - 0.0, - 0.0, - 0.0 - }; - - double hp2_a[] = { 0.0, - 0.0069053396600248784, - 0.013810679320049757, - -0.046956309688169176, - -0.10772329869638811, - 0.16987135563661201, - 0.44746600996961211, - -0.96674755240348298, - 0.44746600996961211, - 0.16987135563661201, - -0.10772329869638811, - -0.046956309688169176, - 0.013810679320049757, - 0.0069053396600248784 - }; - for (i = 0; i < 14; ++i) { - lp1[i] = lp1_a[i]; - hp1[i] = hp1_a[i]; - lp2[i] = lp2_a[i]; - hp2[i] = hp2_a[i]; - } - return 14; + copy_reverse(hm2_26, N, lp1); + qmf_wrev(h2 + 2, N, hp1); + copy(h2 + 2, N, lp2); + qmf_even(hm2_26, N, hp2); + return N; } else if (!strcmp(name,"bior2.8")){ - double lp1_a[] = { 0.0, - 0.0015105430506304422, - -0.0030210861012608843, - -0.012947511862546647, - 0.028916109826354178, - 0.052998481890690945, - -0.13491307360773608, - -0.16382918343409025, - 0.46257144047591658, - 0.95164212189717856, - 0.46257144047591658, - -0.16382918343409025, - -0.13491307360773608, - 0.052998481890690945, - 0.028916109826354178, - -0.012947511862546647, - -0.0030210861012608843, - 0.0015105430506304422 - }; - - double hp1_a[] = { 0.0, - 0.0, - 0.0, - 0.0, - 0.0, - 0.0, - 0.0, - 0.35355339059327379, - -0.70710678118654757, - 0.35355339059327379, - 0.0, - 0.0, - 0.0, - 0.0, - 0.0, - 0.0, - 0.0, - 0.0 - }; - - double lp2_a[] = { 0.0, - 0.0, - 0.0, - 0.0, - 0.0, - 0.0, - 0.0, - 0.35355339059327379, - 0.70710678118654757, - 0.35355339059327379, - 0.0, - 0.0, - 0.0, - 0.0, - 0.0, - 0.0, - 0.0, - 0.0 - }; - - double hp2_a[] = { 0.0, - -0.0015105430506304422, - -0.0030210861012608843, - 0.012947511862546647, - 0.028916109826354178, - -0.052998481890690945, - -0.13491307360773608, - 0.16382918343409025, - 0.46257144047591658, - -0.95164212189717856, - 0.46257144047591658, - 0.16382918343409025, - -0.13491307360773608, - -0.052998481890690945, - 0.028916109826354178, - 0.012947511862546647, - -0.0030210861012608843, - -0.0015105430506304422 - }; - for (i = 0; i < 18; ++i) { - lp1[i] = lp1_a[i]; - hp1[i] = hp1_a[i]; - lp2[i] = lp2_a[i]; - hp2[i] = hp2_a[i]; - } - return 18; + copy_reverse(hm2_28, N, lp1); + qmf_wrev(h2, N, hp1); + copy(h2, N, lp2); + qmf_even(hm2_28, N, hp2); + return N; } else if (!strcmp(name,"bior3.1")){ - double lp1_a[] = { -0.35355339059327379, - 1.0606601717798214, - 1.0606601717798214, - -0.35355339059327379 - }; - - double hp1_a[] = { -0.17677669529663689, - 0.53033008588991071, - -0.53033008588991071, - 0.17677669529663689 - }; - - double lp2_a[] = { 0.17677669529663689, - 0.53033008588991071, - 0.53033008588991071, - 0.17677669529663689 - }; - - double hp2_a[] = { -0.35355339059327379, - -1.0606601717798214, - 1.0606601717798214, - 0.35355339059327379 - }; - for (i = 0; i < 4; ++i) { - lp1[i] = lp1_a[i]; - hp1[i] = hp1_a[i]; - lp2[i] = lp2_a[i]; - hp2[i] = hp2_a[i]; - } - return 4; - } - else if (!strcmp(name,"bior3.3")){ - double lp1_a[] = { 0.066291260736238838, - -0.19887378220871652, - -0.15467960838455727, - 0.99436891104358249, - 0.99436891104358249, - -0.15467960838455727, - -0.19887378220871652, - 0.066291260736238838 - }; - - double hp1_a[] = { 0.0, - 0.0, - -0.17677669529663689, - 0.53033008588991071, - -0.53033008588991071, - 0.17677669529663689, - 0.0, - 0.0 - }; - - double lp2_a[] = { 0.0, - 0.0, - 0.17677669529663689, - 0.53033008588991071, - 0.53033008588991071, - 0.17677669529663689, - 0.0, - 0.0 - }; - - double hp2_a[] = { 0.066291260736238838, - 0.19887378220871652, - -0.15467960838455727, - -0.99436891104358249, - 0.99436891104358249, - 0.15467960838455727, - -0.19887378220871652, - -0.066291260736238838 - }; - for (i = 0; i < 8; ++i) { - lp1[i] = lp1_a[i]; - hp1[i] = hp1_a[i]; - lp2[i] = lp2_a[i]; - hp2[i] = hp2_a[i]; - } - return 8; + copy_reverse(hm3_31, N, lp1); + qmf_wrev(h3 + 8, N, hp1); + copy(h3 + 8, N, lp2); + qmf_even(hm3_31, N, hp2); + return N; } + else if (!strcmp(name, "bior3.3")){ + copy_reverse(hm3_33, N, lp1); + qmf_wrev(h3 + 6, N, hp1); + copy(h3 + 6, N, lp2); + qmf_even(hm3_33, N, hp2); + return N; + } else if (!strcmp(name,"bior3.5")){ - double lp1_a[] = { -0.013810679320049757, - 0.041432037960149271, - 0.052480581416189075, - -0.26792717880896527, - -0.071815532464258744, - 0.96674755240348298, - 0.96674755240348298, - -0.071815532464258744, - -0.26792717880896527, - 0.052480581416189075, - 0.041432037960149271, - -0.013810679320049757 - }; - - double hp1_a[] = { 0.0, - 0.0, - 0.0, - 0.0, - -0.17677669529663689, - 0.53033008588991071, - -0.53033008588991071, - 0.17677669529663689, - 0.0, - 0.0, - 0.0, - 0.0 - }; - - double lp2_a[] = { 0.0, - 0.0, - 0.0, - 0.0, - 0.17677669529663689, - 0.53033008588991071, - 0.53033008588991071, - 0.17677669529663689, - 0.0, - 0.0, - 0.0, - 0.0 - }; - - double hp2_a[] = { -0.013810679320049757, - -0.041432037960149271, - 0.052480581416189075, - 0.26792717880896527, - -0.071815532464258744, - -0.96674755240348298, - 0.96674755240348298, - 0.071815532464258744, - -0.26792717880896527, - -0.052480581416189075, - 0.041432037960149271, - 0.013810679320049757 - }; - for (i = 0; i < 12; ++i) { - lp1[i] = lp1_a[i]; - hp1[i] = hp1_a[i]; - lp2[i] = lp2_a[i]; - hp2[i] = hp2_a[i]; - } - return 12; - } - - else if (!strcmp(name,"bior3.7")){ - double lp1_a[] = { 0.0030210861012608843, - -0.0090632583037826529, - -0.016831765421310641, - 0.074663985074019001, - 0.031332978707362888, - -0.301159125922835, - -0.026499240945345472, - 0.95164212189717856, - 0.95164212189717856, - -0.026499240945345472, - -0.301159125922835, - 0.031332978707362888, - 0.074663985074019001, - -0.016831765421310641, - -0.0090632583037826529, - 0.0030210861012608843 - }; - - double hp1_a[] = { 0.0, - 0.0, - 0.0, - 0.0, - 0.0, - 0.0, - -0.17677669529663689, - 0.53033008588991071, - -0.53033008588991071, - 0.17677669529663689, - 0.0, - 0.0, - 0.0, - 0.0, - 0.0, - 0.0 - }; - - double lp2_a[] = { 0.0, - 0.0, - 0.0, - 0.0, - 0.0, - 0.0, - 0.17677669529663689, - 0.53033008588991071, - 0.53033008588991071, - 0.17677669529663689, - 0.0, - 0.0, - 0.0, - 0.0, - 0.0, - 0.0 - }; - - double hp2_a[] = { 0.0030210861012608843, - 0.0090632583037826529, - -0.016831765421310641, - -0.074663985074019001, - 0.031332978707362888, - 0.301159125922835, - -0.026499240945345472, - -0.95164212189717856, - 0.95164212189717856, - 0.026499240945345472, - -0.301159125922835, - -0.031332978707362888, - 0.074663985074019001, - 0.016831765421310641, - -0.0090632583037826529, - -0.0030210861012608843 - }; - for (i = 0; i < 16; ++i) { - lp1[i] = lp1_a[i]; - hp1[i] = hp1_a[i]; - lp2[i] = lp2_a[i]; - hp2[i] = hp2_a[i]; - } - return 16; + copy_reverse(hm3_35, N, lp1); + qmf_wrev(h3 + 4, N, hp1); + copy(h3 + 4, N, lp2); + qmf_even(hm3_35, N, hp2); + return N; } + else if (!strcmp(name, "bior3.7")){ + copy_reverse(hm3_37, N, lp1); + qmf_wrev(h3 + 2, N, hp1); + copy(h3 +2, N, lp2); + qmf_even(hm3_37, N, hp2); + return N; + } else if (!strcmp(name,"bior3.9")){ - double lp1_a[] = { -0.00067974437278369901, - 0.0020392331183510968, - 0.0050603192196119811, - -0.020618912641105536, - -0.014112787930175846, - 0.09913478249423216, - 0.012300136269419315, - -0.32019196836077857, - 0.0020500227115698858, - 0.94212570067820678, - 0.94212570067820678, - 0.0020500227115698858, - -0.32019196836077857, - 0.012300136269419315, - 0.09913478249423216, - -0.014112787930175846, - -0.020618912641105536, - 0.0050603192196119811, - 0.0020392331183510968, - -0.00067974437278369901 - }; - - double hp1_a[] = { 0.0, - 0.0, - 0.0, - 0.0, - 0.0, - 0.0, - 0.0, - 0.0, - -0.17677669529663689, - 0.53033008588991071, - -0.53033008588991071, - 0.17677669529663689, - 0.0, - 0.0, - 0.0, - 0.0, - 0.0, - 0.0, - 0.0, - 0.0 - }; - - double lp2_a[] = { 0.0, - 0.0, - 0.0, - 0.0, - 0.0, - 0.0, - 0.0, - 0.0, - 0.17677669529663689, - 0.53033008588991071, - 0.53033008588991071, - 0.17677669529663689, - 0.0, - 0.0, - 0.0, - 0.0, - 0.0, - 0.0, - 0.0, - 0.0 - }; - - double hp2_a[] = { -0.00067974437278369901, - -0.0020392331183510968, - 0.0050603192196119811, - 0.020618912641105536, - -0.014112787930175846, - -0.09913478249423216, - 0.012300136269419315, - 0.32019196836077857, - 0.0020500227115698858, - -0.94212570067820678, - 0.94212570067820678, - -0.0020500227115698858, - -0.32019196836077857, - -0.012300136269419315, - 0.09913478249423216, - 0.014112787930175846, - -0.020618912641105536, - -0.0050603192196119811, - 0.0020392331183510968, - 0.00067974437278369901 - }; - for (i = 0; i < 20; ++i) { - lp1[i] = lp1_a[i]; - hp1[i] = hp1_a[i]; - lp2[i] = lp2_a[i]; - hp2[i] = hp2_a[i]; - } - return 20; + copy_reverse(hm3_39, N, lp1); + qmf_wrev(h3, N, hp1); + copy(h3, N, lp2); + qmf_even(hm3_39, N, hp2); + return N; } else if (!strcmp(name,"bior4.4")){ - double lp1_a[] = { 0.0, - 0.03782845550726404, - -0.023849465019556843, - -0.11062440441843718, - 0.37740285561283066, - 0.85269867900889385, - 0.37740285561283066, - -0.11062440441843718, - -0.023849465019556843, - 0.03782845550726404 - }; - - double hp1_a[] = { 0.0, - -0.064538882628697058, - 0.040689417609164058, - 0.41809227322161724, - -0.7884856164055829, - 0.41809227322161724, - 0.040689417609164058, - -0.064538882628697058, - 0.0, - 0.0 - }; - - double lp2_a[] = { 0.0, - -0.064538882628697058, - -0.040689417609164058, - 0.41809227322161724, - 0.7884856164055829, - 0.41809227322161724, - -0.040689417609164058, - -0.064538882628697058, - 0.0, - 0.0 - }; - - double hp2_a[] = { 0.0, - -0.03782845550726404, - -0.023849465019556843, - 0.11062440441843718, - 0.37740285561283066, - -0.85269867900889385, - 0.37740285561283066, - 0.11062440441843718, - -0.023849465019556843, - -0.03782845550726404 - }; - for (i = 0; i < 10; ++i) { - lp1[i] = lp1_a[i]; - hp1[i] = hp1_a[i]; - lp2[i] = lp2_a[i]; - hp2[i] = hp2_a[i]; - } - return 10; - } - else if (!strcmp(name,"bior5.5")){ - double lp1_a[] = { 0.0, - 0.0, - 0.03968708834740544, - 0.0079481086372403219, - -0.054463788468236907, - 0.34560528195603346, - 0.73666018142821055, - 0.34560528195603346, - -0.054463788468236907, - 0.0079481086372403219, - 0.03968708834740544, - 0.0 - }; - - double hp1_a[] = { -0.013456709459118716, - -0.0026949668801115071, - 0.13670658466432914, - -0.093504697400938863, - -0.47680326579848425, - 0.89950610974864842, - -0.47680326579848425, - -0.093504697400938863, - 0.13670658466432914, - -0.0026949668801115071, - -0.013456709459118716, - 0.0 - }; - - double lp2_a[] = { 0.013456709459118716, - -0.0026949668801115071, - -0.13670658466432914, - -0.093504697400938863, - 0.47680326579848425, - 0.89950610974864842, - 0.47680326579848425, - -0.093504697400938863, - -0.13670658466432914, - -0.0026949668801115071, - 0.013456709459118716, - 0.0 - }; - - double hp2_a[] = { 0.0, - 0.0, - 0.03968708834740544, - -0.0079481086372403219, - -0.054463788468236907, - -0.34560528195603346, - 0.73666018142821055, - -0.34560528195603346, - -0.054463788468236907, - -0.0079481086372403219, - 0.03968708834740544, - 0.0 - }; - for (i = 0; i < 12; ++i) { - lp1[i] = lp1_a[i]; - hp1[i] = hp1_a[i]; - lp2[i] = lp2_a[i]; - hp2[i] = hp2_a[i]; - } - return 12; + copy_reverse(hm4_44, N, lp1); + qmf_wrev(h4, N, hp1); + copy(h4, N, lp2); + qmf_even(hm4_44, N, hp2); + return N; } + else if (!strcmp(name, "bior5.5")){ + copy_reverse(hm5_55, N, lp1); + qmf_wrev(h5, N, hp1); + copy(h5, N, lp2); + qmf_even(hm5_55, N, hp2); + return N; + } else if (!strcmp(name,"bior6.8")){ - double lp1_a[] = { 0.0, - 0.0019088317364812906, - -0.0019142861290887667, - -0.016990639867602342, - 0.01193456527972926, - 0.04973290349094079, - -0.077263173167204144, - -0.09405920349573646, - 0.42079628460982682, - 0.82592299745840225, - 0.42079628460982682, - -0.09405920349573646, - -0.077263173167204144, - 0.04973290349094079, - 0.01193456527972926, - -0.016990639867602342, - -0.0019142861290887667, - 0.0019088317364812906 - }; - - double hp1_a[] = { 0.0, - 0.0, - 0.0, - 0.014426282505624435, - -0.014467504896790148, - -0.078722001062628819, - 0.040367979030339923, - 0.41784910915027457, - -0.75890772945365415, - 0.41784910915027457, - 0.040367979030339923, - -0.078722001062628819, - -0.014467504896790148, - 0.014426282505624435, - 0.0, - 0.0, - 0.0, - 0.0 - }; - - double lp2_a[] = { 0.0, - 0.0, - 0.0, - 0.014426282505624435, - 0.014467504896790148, - -0.078722001062628819, - -0.040367979030339923, - 0.41784910915027457, - 0.75890772945365415, - 0.41784910915027457, - -0.040367979030339923, - -0.078722001062628819, - 0.014467504896790148, - 0.014426282505624435, - 0.0, - 0.0, - 0.0, - 0.0 - }; - - double hp2_a[] = { 0.0, - -0.0019088317364812906, - -0.0019142861290887667, - 0.016990639867602342, - 0.01193456527972926, - -0.04973290349094079, - -0.077263173167204144, - 0.09405920349573646, - 0.42079628460982682, - -0.82592299745840225, - 0.42079628460982682, - 0.09405920349573646, - -0.077263173167204144, - -0.04973290349094079, - 0.01193456527972926, - 0.016990639867602342, - -0.0019142861290887667, - -0.0019088317364812906 - }; - for (i = 0; i < 18; ++i) { - lp1[i] = lp1_a[i]; - hp1[i] = hp1_a[i]; - lp2[i] = lp2_a[i]; - hp2[i] = hp2_a[i]; - } - return 18; + copy_reverse(hm6_68, N, lp1); + qmf_wrev(h6, N, hp1); + copy(h6, N, lp2); + qmf_even(hm6_68, N, hp2); + return N; } + else if (!strcmp(name, "rbior1.1")){ + copy_reverse(h1 + 4, N, lp1); + qmf_wrev(hm1_11, N, hp1); + copy(hm1_11, N, lp2); + qmf_even(h1 + 4, N, hp2); + return N; + } + else if (!strcmp(name, "rbior1.3")){ + copy_reverse(h1 + 2, N, lp1); + qmf_wrev(hm1_13, N, hp1); + copy(hm1_13, N, lp2); + qmf_even(h1 + 2, N, hp2); + return N; + } + + else if (!strcmp(name, "rbior1.5")){ + copy_reverse(h1, N, lp1); + qmf_wrev(hm1_15, N, hp1); + copy(hm1_15, N, lp2); + qmf_even(h1, N, hp2); + return N; + } + + else if (!strcmp(name, "rbior2.2")){ + copy_reverse(h2 + 6, N, lp1); + qmf_wrev(hm2_22, N, hp1); + copy(hm2_22, N, lp2); + qmf_even(h2 + 6, N, hp2); + return N; + } + else if (!strcmp(name, "rbior2.4")){ + copy_reverse(h2 + 4, N, lp1); + qmf_wrev(hm2_24, N, hp1); + copy(hm2_24, N, lp2); + qmf_even(h2 + 4, N, hp2); + return N; + } + else if (!strcmp(name, "rbior2.6")){ + copy_reverse(h2 + 2, N, lp1); + qmf_wrev(hm2_26, N, hp1); + copy(hm2_26, N, lp2); + qmf_even(h2 + 2, N, hp2); + return N; + } + else if (!strcmp(name, "rbior2.8")){ + copy_reverse(h2, N, lp1); + qmf_wrev(hm2_28, N, hp1); + copy(hm2_28, N, lp2); + qmf_even(h2, N, hp2); + return N; + } + + else if (!strcmp(name, "rbior3.1")){ + copy_reverse(h3 + 8, N, lp1); + qmf_wrev(hm3_31, N, hp1); + copy(hm3_31, N, lp2); + qmf_even(h3 + 8, N, hp2); + return N; + } + else if (!strcmp(name, "rbior3.3")){ + copy_reverse(h3 + 6, N, lp1); + qmf_wrev(hm3_33, N, hp1); + copy(hm3_33, N, lp2); + qmf_even(h3 + 6, N, hp2); + return N; + } + else if (!strcmp(name, "rbior3.5")){ + copy_reverse(h3 + 4, N, lp1); + qmf_wrev(hm3_35, N, hp1); + copy(hm3_35, N, lp2); + qmf_even(h3 + 4, N, hp2); + return N; + } + else if (!strcmp(name, "rbior3.7")){ + copy_reverse(h3 + 2, N, lp1); + qmf_wrev(hm3_37, N, hp1); + copy(hm3_37, N, lp2); + qmf_even(h3 + 2, N, hp2); + return N; + } + else if (!strcmp(name, "rbior3.9")){ + copy_reverse(h3, N, lp1); + qmf_wrev(hm3_39, N, hp1); + copy(hm3_39, N, lp2); + qmf_even(h3, N, hp2); + return N; + } + else if (!strcmp(name, "rbior4.4")){ + copy_reverse(h4, N, lp1); + qmf_wrev(hm4_44, N, hp1); + copy(hm4_44, N, lp2); + qmf_even(h4, N, hp2); + return N; + } + else if (!strcmp(name, "rbior5.5")){ + copy_reverse(h5, N, lp1); + qmf_wrev(hm5_55, N, hp1); + copy(hm5_55, N, lp2); + qmf_even(h5, N, hp2); + return N; + } + else if (!strcmp(name, "rbior6.8")){ + copy_reverse(h6, N, lp1); + qmf_wrev(hm6_68, N, hp1); + copy(hm6_68, N, lp2); + qmf_even(h6, N, hp2); + return N; + } else if (!strcmp(name,"coif1")){ - double lp1_a[] = { -0.01565572813546454, - -0.072732619512853897, - 0.38486484686420286, - 0.85257202021225542, - 0.33789766245780922, - -0.072732619512853897 - }; + double *coeffTemp; + coeffTemp = malloc(N*sizeof(double)); - double hp1_a[] = { 0.072732619512853897, - 0.33789766245780922, - -0.85257202021225542, - 0.38486484686420286, - 0.072732619512853897, - -0.01565572813546454 - }; + copy(coif1, N, coeffTemp); + for (i = 0; i < N; ++i) { + coeffTemp[i] *= M_SQRT2; + } - double lp2_a[] = { -0.072732619512853897, - 0.33789766245780922, - 0.85257202021225542, - 0.38486484686420286, - -0.072732619512853897, - -0.01565572813546454 - }; + copy_reverse(coeffTemp, N, lp1); + qmf_wrev(coeffTemp, N, hp1); + copy(coeffTemp, N, lp2); + qmf_even(coeffTemp, N, hp2); + free(coeffTemp); - double hp2_a[] = { -0.01565572813546454, - 0.072732619512853897, - 0.38486484686420286, - -0.85257202021225542, - 0.33789766245780922, - 0.072732619512853897 - }; - for (i = 0; i < 6; ++i) { - lp1[i] = lp1_a[i]; - hp1[i] = hp1_a[i]; - lp2[i] = lp2_a[i]; - hp2[i] = hp2_a[i]; - } - return 6; + return N; } else if (!strcmp(name,"coif2")){ - double lp1_a[] = { -0.00072054944536451221, - -0.0018232088707029932, - 0.0056114348193944995, - 0.023680171946334084, - -0.059434418646456898, - -0.076488599078306393, - 0.41700518442169254, - 0.81272363544554227, - 0.38611006682116222, - -0.067372554721963018, - -0.041464936781759151, - 0.016387336463522112 - }; + double *coeffTemp; + coeffTemp = malloc(N*sizeof(double)); - double hp1_a[] = { -0.016387336463522112, - -0.041464936781759151, - 0.067372554721963018, - 0.38611006682116222, - -0.81272363544554227, - 0.41700518442169254, - 0.076488599078306393, - -0.059434418646456898, - -0.023680171946334084, - 0.0056114348193944995, - 0.0018232088707029932, - -0.00072054944536451221 - }; + copy(coif2, N, coeffTemp); + for (i = 0; i < N; ++i) { + coeffTemp[i] *= M_SQRT2; + } - double lp2_a[] = { 0.016387336463522112, - -0.041464936781759151, - -0.067372554721963018, - 0.38611006682116222, - 0.81272363544554227, - 0.41700518442169254, - -0.076488599078306393, - -0.059434418646456898, - 0.023680171946334084, - 0.0056114348193944995, - -0.0018232088707029932, - -0.00072054944536451221 - }; + copy_reverse(coeffTemp, N, lp1); + qmf_wrev(coeffTemp, N, hp1); + copy(coeffTemp, N, lp2); + qmf_even(coeffTemp, N, hp2); + free(coeffTemp); - double hp2_a[] = { -0.00072054944536451221, - 0.0018232088707029932, - 0.0056114348193944995, - -0.023680171946334084, - -0.059434418646456898, - 0.076488599078306393, - 0.41700518442169254, - -0.81272363544554227, - 0.38611006682116222, - 0.067372554721963018, - -0.041464936781759151, - -0.016387336463522112 - }; - for (i = 0; i < 12; ++i) { - lp1[i] = lp1_a[i]; - hp1[i] = hp1_a[i]; - lp2[i] = lp2_a[i]; - hp2[i] = hp2_a[i]; - } - return 12; + return N; } else if (!strcmp(name,"coif3")){ - double lp1_a[] = { -3.4599772836212559e-05, - -7.0983303138141252e-05, - 0.00046621696011288631, - 0.0011175187708906016, - -0.0025745176887502236, - -0.0090079761366615805, - 0.015880544863615904, - 0.034555027573061628, - -0.082301927106885983, - -0.071799821619312018, - 0.42848347637761874, - 0.79377722262562056, - 0.4051769024096169, - -0.061123390002672869, - -0.0657719112818555, - 0.023452696141836267, - 0.0077825964273254182, - -0.0037935128644910141 - }; + double *coeffTemp; + coeffTemp = malloc(N*sizeof(double)); - double hp1_a[] = { 0.0037935128644910141, - 0.0077825964273254182, - -0.023452696141836267, - -0.0657719112818555, - 0.061123390002672869, - 0.4051769024096169, - -0.79377722262562056, - 0.42848347637761874, - 0.071799821619312018, - -0.082301927106885983, - -0.034555027573061628, - 0.015880544863615904, - 0.0090079761366615805, - -0.0025745176887502236, - -0.0011175187708906016, - 0.00046621696011288631, - 7.0983303138141252e-05, - -3.4599772836212559e-05 - }; + copy(coif3, N, coeffTemp); + for (i = 0; i < N; ++i) { + coeffTemp[i] *= M_SQRT2; + } - double lp2_a[] = { -0.0037935128644910141, - 0.0077825964273254182, - 0.023452696141836267, - -0.0657719112818555, - -0.061123390002672869, - 0.4051769024096169, - 0.79377722262562056, - 0.42848347637761874, - -0.071799821619312018, - -0.082301927106885983, - 0.034555027573061628, - 0.015880544863615904, - -0.0090079761366615805, - -0.0025745176887502236, - 0.0011175187708906016, - 0.00046621696011288631, - -7.0983303138141252e-05, - -3.4599772836212559e-05 - }; + copy_reverse(coeffTemp, N, lp1); + qmf_wrev(coeffTemp, N, hp1); + copy(coeffTemp, N, lp2); + qmf_even(coeffTemp, N, hp2); + free(coeffTemp); - double hp2_a[] = { -3.4599772836212559e-05, - 7.0983303138141252e-05, - 0.00046621696011288631, - -0.0011175187708906016, - -0.0025745176887502236, - 0.0090079761366615805, - 0.015880544863615904, - -0.034555027573061628, - -0.082301927106885983, - 0.071799821619312018, - 0.42848347637761874, - -0.79377722262562056, - 0.4051769024096169, - 0.061123390002672869, - -0.0657719112818555, - -0.023452696141836267, - 0.0077825964273254182, - 0.0037935128644910141 - }; - for (i = 0; i < 18; ++i) { - lp1[i] = lp1_a[i]; - hp1[i] = hp1_a[i]; - lp2[i] = lp2_a[i]; - hp2[i] = hp2_a[i]; - } - return 18; + return N; } else if (!strcmp(name,"coif4")){ - double lp1_a[] = { -1.7849850030882614e-06, - -3.2596802368833675e-06, - 3.1229875865345646e-05, - 6.2339034461007128e-05, - -0.00025997455248771324, - -0.00058902075624433831, - 0.0012665619292989445, - 0.0037514361572784571, - -0.0056582866866107199, - -0.015211731527946259, - 0.025082261844864097, - 0.039334427123337491, - -0.096220442033987982, - -0.066627474263425038, - 0.4343860564914685, - 0.78223893092049901, - 0.41530840703043026, - -0.056077313316754807, - -0.081266699680878754, - 0.026682300156053072, - 0.016068943964776348, - -0.0073461663276420935, - -0.0016294920126017326, - 0.00089231366858231456 - }; + double *coeffTemp; + coeffTemp = malloc(N*sizeof(double)); - double hp1_a[] = { -0.00089231366858231456, - -0.0016294920126017326, - 0.0073461663276420935, - 0.016068943964776348, - -0.026682300156053072, - -0.081266699680878754, - 0.056077313316754807, - 0.41530840703043026, - -0.78223893092049901, - 0.4343860564914685, - 0.066627474263425038, - -0.096220442033987982, - -0.039334427123337491, - 0.025082261844864097, - 0.015211731527946259, - -0.0056582866866107199, - -0.0037514361572784571, - 0.0012665619292989445, - 0.00058902075624433831, - -0.00025997455248771324, - -6.2339034461007128e-05, - 3.1229875865345646e-05, - 3.2596802368833675e-06, - -1.7849850030882614e-06 - }; + copy(coif4, N, coeffTemp); + for (i = 0; i < N; ++i) { + coeffTemp[i] *= M_SQRT2; + } - double lp2_a[] = { 0.00089231366858231456, - -0.0016294920126017326, - -0.0073461663276420935, - 0.016068943964776348, - 0.026682300156053072, - -0.081266699680878754, - -0.056077313316754807, - 0.41530840703043026, - 0.78223893092049901, - 0.4343860564914685, - -0.066627474263425038, - -0.096220442033987982, - 0.039334427123337491, - 0.025082261844864097, - -0.015211731527946259, - -0.0056582866866107199, - 0.0037514361572784571, - 0.0012665619292989445, - -0.00058902075624433831, - -0.00025997455248771324, - 6.2339034461007128e-05, - 3.1229875865345646e-05, - -3.2596802368833675e-06, - -1.7849850030882614e-06 - }; + copy_reverse(coeffTemp, N, lp1); + qmf_wrev(coeffTemp, N, hp1); + copy(coeffTemp, N, lp2); + qmf_even(coeffTemp, N, hp2); + free(coeffTemp); - double hp2_a[] = { -1.7849850030882614e-06, - 3.2596802368833675e-06, - 3.1229875865345646e-05, - -6.2339034461007128e-05, - -0.00025997455248771324, - 0.00058902075624433831, - 0.0012665619292989445, - -0.0037514361572784571, - -0.0056582866866107199, - 0.015211731527946259, - 0.025082261844864097, - -0.039334427123337491, - -0.096220442033987982, - 0.066627474263425038, - 0.4343860564914685, - -0.78223893092049901, - 0.41530840703043026, - 0.056077313316754807, - -0.081266699680878754, - -0.026682300156053072, - 0.016068943964776348, - 0.0073461663276420935, - -0.0016294920126017326, - -0.00089231366858231456 - }; - for (i = 0; i < 24; ++i) { - lp1[i] = lp1_a[i]; - hp1[i] = hp1_a[i]; - lp2[i] = lp2_a[i]; - hp2[i] = hp2_a[i]; - } - return 24; + return N; } else if (!strcmp(name,"coif5")){ - double lp1_a[] = { -9.517657273819165e-08, - -1.6744288576823017e-07, - 2.0637618513646814e-06, - 3.7346551751414047e-06, - -2.1315026809955787e-05, - -4.1340432272512511e-05, - 0.00014054114970203437, - 0.00030225958181306315, - -0.00063813134304511142, - -0.0016628637020130838, - 0.0024333732126576722, - 0.0067641854480530832, - -0.0091642311624818458, - -0.019761778942572639, - 0.032683574267111833, - 0.041289208750181702, - -0.10557420870333893, - -0.062035963962903569, - 0.43799162617183712, - 0.77428960365295618, - 0.42156620669085149, - -0.052043163176243773, - -0.091920010559696244, - 0.02816802897093635, - 0.023408156785839195, - -0.010131117519849788, - -0.004159358781386048, - 0.0021782363581090178, - 0.00035858968789573785, - -0.00021208083980379827 - }; + double *coeffTemp; + coeffTemp = malloc(N*sizeof(double)); - double hp1_a[] = { 0.00021208083980379827, - 0.00035858968789573785, - -0.0021782363581090178, - -0.004159358781386048, - 0.010131117519849788, - 0.023408156785839195, - -0.02816802897093635, - -0.091920010559696244, - 0.052043163176243773, - 0.42156620669085149, - -0.77428960365295618, - 0.43799162617183712, - 0.062035963962903569, - -0.10557420870333893, - -0.041289208750181702, - 0.032683574267111833, - 0.019761778942572639, - -0.0091642311624818458, - -0.0067641854480530832, - 0.0024333732126576722, - 0.0016628637020130838, - -0.00063813134304511142, - -0.00030225958181306315, - 0.00014054114970203437, - 4.1340432272512511e-05, - -2.1315026809955787e-05, - -3.7346551751414047e-06, - 2.0637618513646814e-06, - 1.6744288576823017e-07, - -9.517657273819165e-08 - }; + copy(coif5, N, coeffTemp); + for (i = 0; i < N; ++i) { + coeffTemp[i] *= M_SQRT2; + } - double lp2_a[] = { -0.00021208083980379827, - 0.00035858968789573785, - 0.0021782363581090178, - -0.004159358781386048, - -0.010131117519849788, - 0.023408156785839195, - 0.02816802897093635, - -0.091920010559696244, - -0.052043163176243773, - 0.42156620669085149, - 0.77428960365295618, - 0.43799162617183712, - -0.062035963962903569, - -0.10557420870333893, - 0.041289208750181702, - 0.032683574267111833, - -0.019761778942572639, - -0.0091642311624818458, - 0.0067641854480530832, - 0.0024333732126576722, - -0.0016628637020130838, - -0.00063813134304511142, - 0.00030225958181306315, - 0.00014054114970203437, - -4.1340432272512511e-05, - -2.1315026809955787e-05, - 3.7346551751414047e-06, - 2.0637618513646814e-06, - -1.6744288576823017e-07, - -9.517657273819165e-08 - }; + copy_reverse(coeffTemp, N, lp1); + qmf_wrev(coeffTemp, N, hp1); + copy(coeffTemp, N, lp2); + qmf_even(coeffTemp, N, hp2); + free(coeffTemp); - double hp2_a[] = { -9.517657273819165e-08, - 1.6744288576823017e-07, - 2.0637618513646814e-06, - -3.7346551751414047e-06, - -2.1315026809955787e-05, - 4.1340432272512511e-05, - 0.00014054114970203437, - -0.00030225958181306315, - -0.00063813134304511142, - 0.0016628637020130838, - 0.0024333732126576722, - -0.0067641854480530832, - -0.0091642311624818458, - 0.019761778942572639, - 0.032683574267111833, - -0.041289208750181702, - -0.10557420870333893, - 0.062035963962903569, - 0.43799162617183712, - -0.77428960365295618, - 0.42156620669085149, - 0.052043163176243773, - -0.091920010559696244, - -0.02816802897093635, - 0.023408156785839195, - 0.010131117519849788, - -0.004159358781386048, - -0.0021782363581090178, - 0.00035858968789573785, - 0.00021208083980379827 - }; - for (i = 0; i < 30; ++i) { - lp1[i] = lp1_a[i]; - hp1[i] = hp1_a[i]; - lp2[i] = lp2_a[i]; - hp2[i] = hp2_a[i]; - } - return 30; + return N; } + else if (!strcmp(name, "coif6")){ + double *coeffTemp; + coeffTemp = malloc(N*sizeof(double)); + copy(coif6, N, coeffTemp); + for (i = 0; i < N; ++i) { + coeffTemp[i] *= M_SQRT2; + } + + copy_reverse(coeffTemp, N, lp1); + qmf_wrev(coeffTemp, N, hp1); + copy(coeffTemp, N, lp2); + qmf_even(coeffTemp, N, hp2); + free(coeffTemp); + + return N; + } + else if (!strcmp(name, "coif7")){ + double *coeffTemp; + coeffTemp = malloc(N*sizeof(double)); + + copy(coif7, N, coeffTemp); + for (i = 0; i < N; ++i) { + coeffTemp[i] *= M_SQRT2; + } + + copy_reverse(coeffTemp, N, lp1); + qmf_wrev(coeffTemp, N, hp1); + copy(coeffTemp, N, lp2); + qmf_even(coeffTemp, N, hp2); + free(coeffTemp); + + return N; + } + else if (!strcmp(name, "coif8")){ + double *coeffTemp; + coeffTemp = malloc(N*sizeof(double)); + + copy(coif8, N, coeffTemp); + for (i = 0; i < N; ++i) { + coeffTemp[i] *= M_SQRT2; + } + + copy_reverse(coeffTemp, N, lp1); + qmf_wrev(coeffTemp, N, hp1); + copy(coeffTemp, N, lp2); + qmf_even(coeffTemp, N, hp2); + free(coeffTemp); + + return N; + } + else if (!strcmp(name, "coif9")){ + double *coeffTemp; + coeffTemp = malloc(N*sizeof(double)); + + copy(coif9, N, coeffTemp); + for (i = 0; i < N; ++i) { + coeffTemp[i] *= M_SQRT2; + } + + copy_reverse(coeffTemp, N, lp1); + qmf_wrev(coeffTemp, N, hp1); + copy(coeffTemp, N, lp2); + qmf_even(coeffTemp, N, hp2); + free(coeffTemp); + + return N; + } + else if (!strcmp(name, "coif10")){ + double *coeffTemp; + coeffTemp = malloc(N*sizeof(double)); + + copy(coif10, N, coeffTemp); + for (i = 0; i < N; ++i) { + coeffTemp[i] *= M_SQRT2; + } + + copy_reverse(coeffTemp, N, lp1); + qmf_wrev(coeffTemp, N, hp1); + copy(coeffTemp, N, lp2); + qmf_even(coeffTemp, N, hp2); + free(coeffTemp); + + return N; + } + else if (!strcmp(name, "coif11")){ + double *coeffTemp; + coeffTemp = malloc(N*sizeof(double)); + + copy(coif11, N, coeffTemp); + for (i = 0; i < N; ++i) { + coeffTemp[i] *= M_SQRT2; + } + + copy_reverse(coeffTemp, N, lp1); + qmf_wrev(coeffTemp, N, hp1); + copy(coeffTemp, N, lp2); + qmf_even(coeffTemp, N, hp2); + free(coeffTemp); + + return N; + } + else if (!strcmp(name, "coif12")){ + double *coeffTemp; + coeffTemp = malloc(N*sizeof(double)); + + copy(coif12, N, coeffTemp); + for (i = 0; i < N; ++i) { + coeffTemp[i] *= M_SQRT2; + } + + copy_reverse(coeffTemp, N, lp1); + qmf_wrev(coeffTemp, N, hp1); + copy(coeffTemp, N, lp2); + qmf_even(coeffTemp, N, hp2); + free(coeffTemp); + + return N; + } + else if (!strcmp(name, "coif13")){ + double *coeffTemp; + coeffTemp = malloc(N*sizeof(double)); + + copy(coif13, N, coeffTemp); + for (i = 0; i < N; ++i) { + coeffTemp[i] *= M_SQRT2; + } + + copy_reverse(coeffTemp, N, lp1); + qmf_wrev(coeffTemp, N, hp1); + copy(coeffTemp, N, lp2); + qmf_even(coeffTemp, N, hp2); + free(coeffTemp); + + return N; + } + else if (!strcmp(name, "coif14")){ + double *coeffTemp; + coeffTemp = malloc(N*sizeof(double)); + + copy(coif14, N, coeffTemp); + for (i = 0; i < N; ++i) { + coeffTemp[i] *= M_SQRT2; + } + + copy_reverse(coeffTemp, N, lp1); + qmf_wrev(coeffTemp, N, hp1); + copy(coeffTemp, N, lp2); + qmf_even(coeffTemp, N, hp2); + free(coeffTemp); + + return N; + } + else if (!strcmp(name, "coif15")){ + double *coeffTemp; + coeffTemp = malloc(N*sizeof(double)); + + copy(coif15, N, coeffTemp); + for (i = 0; i < N; ++i) { + coeffTemp[i] *= M_SQRT2; + } + + copy_reverse(coeffTemp, N, lp1); + qmf_wrev(coeffTemp, N, hp1); + copy(coeffTemp, N, lp2); + qmf_even(coeffTemp, N, hp2); + free(coeffTemp); + + return N; + } + else if (!strcmp(name, "coif16")){ + double *coeffTemp; + coeffTemp = malloc(N*sizeof(double)); + + copy(coif16, N, coeffTemp); + for (i = 0; i < N; ++i) { + coeffTemp[i] *= M_SQRT2; + } + + copy_reverse(coeffTemp, N, lp1); + qmf_wrev(coeffTemp, N, hp1); + copy(coeffTemp, N, lp2); + qmf_even(coeffTemp, N, hp2); + free(coeffTemp); + + return N; + } + else if (!strcmp(name, "coif17")){ + double *coeffTemp; + coeffTemp = malloc(N*sizeof(double)); + + copy(coif17, N, coeffTemp); + for (i = 0; i < N; ++i) { + coeffTemp[i] *= M_SQRT2; + } + + copy_reverse(coeffTemp, N, lp1); + qmf_wrev(coeffTemp, N, hp1); + copy(coeffTemp, N, lp2); + qmf_even(coeffTemp, N, hp2); + free(coeffTemp); + + return N; + } else if (!strcmp(name,"sym2")){ - double lp1_a[] = { -0.12940952255092145, - 0.22414386804185735, - 0.83651630373746899, - 0.48296291314469025 - }; - - double hp1_a[] = { -0.48296291314469025, - 0.83651630373746899, - -0.22414386804185735, - -0.12940952255092145 - }; - - double lp2_a[] = { 0.48296291314469025, - 0.83651630373746899, - 0.22414386804185735, - -0.12940952255092145 - }; - - double hp2_a[] = { -0.12940952255092145, - -0.22414386804185735, - 0.83651630373746899, - -0.48296291314469025 - - }; - for (i = 0; i < 4; ++i) { - lp1[i] = lp1_a[i]; - hp1[i] = hp1_a[i]; - lp2[i] = lp2_a[i]; - hp2[i] = hp2_a[i]; - } - return 4; + copy_reverse(sym2, N, lp1); + qmf_wrev(sym2, N, hp1); + copy(sym2, N, lp2); + qmf_even(sym2, N, hp2); + return N; } else if (!strcmp(name,"sym3")){ - double lp1_a[] = { 0.035226291882100656, - -0.085441273882241486, - -0.13501102001039084, - 0.45987750211933132, - 0.80689150931333875, - 0.33267055295095688 - - }; - - double hp1_a[] = { -0.33267055295095688, - 0.80689150931333875, - -0.45987750211933132, - -0.13501102001039084, - 0.085441273882241486, - 0.035226291882100656 - }; - - double lp2_a[] = { 0.33267055295095688, - 0.80689150931333875, - 0.45987750211933132, - -0.13501102001039084, - -0.085441273882241486, - 0.035226291882100656 - }; - - double hp2_a[] = { 0.035226291882100656, - 0.085441273882241486, - -0.13501102001039084, - -0.45987750211933132, - 0.80689150931333875, - -0.33267055295095688 - }; - for (i = 0; i < 6; ++i) { - lp1[i] = lp1_a[i]; - hp1[i] = hp1_a[i]; - lp2[i] = lp2_a[i]; - hp2[i] = hp2_a[i]; - } - return 6; + copy_reverse(sym3, N, lp1); + qmf_wrev(sym3, N, hp1); + copy(sym3, N, lp2); + qmf_even(sym3, N, hp2); + return N; } else if (!strcmp(name,"sym4")){ - double lp1_a[] = { -0.075765714789273325, - -0.02963552764599851, - 0.49761866763201545, - 0.80373875180591614, - 0.29785779560527736, - -0.099219543576847216, - -0.012603967262037833, - 0.032223100604042702 - }; - - double hp1_a[] = { -0.032223100604042702, - -0.012603967262037833, - 0.099219543576847216, - 0.29785779560527736, - -0.80373875180591614, - 0.49761866763201545, - 0.02963552764599851, - -0.075765714789273325 - }; - - double lp2_a[] = { 0.032223100604042702, - -0.012603967262037833, - -0.099219543576847216, - 0.29785779560527736, - 0.80373875180591614, - 0.49761866763201545, - -0.02963552764599851, - -0.075765714789273325 - }; - - double hp2_a[] = { -0.075765714789273325, - 0.02963552764599851, - 0.49761866763201545, - -0.80373875180591614, - 0.29785779560527736, - 0.099219543576847216, - -0.012603967262037833, - -0.032223100604042702 - }; - for (i = 0; i < 8; ++i) { - lp1[i] = lp1_a[i]; - hp1[i] = hp1_a[i]; - lp2[i] = lp2_a[i]; - hp2[i] = hp2_a[i]; - } - return 8; + copy_reverse(sym4, N, lp1); + qmf_wrev(sym4, N, hp1); + copy(sym4, N, lp2); + qmf_even(sym4, N, hp2); + return N; } else if (!strcmp(name,"sym5")){ - double lp1_a[] = { 0.027333068345077982, - 0.029519490925774643, - -0.039134249302383094, - 0.1993975339773936, - 0.72340769040242059, - 0.63397896345821192, - 0.016602105764522319, - -0.17532808990845047, - -0.021101834024758855, - 0.019538882735286728 - }; - - double hp1_a[] = { -0.019538882735286728, - -0.021101834024758855, - 0.17532808990845047, - 0.016602105764522319, - -0.63397896345821192, - 0.72340769040242059, - -0.1993975339773936, - -0.039134249302383094, - -0.029519490925774643, - 0.027333068345077982 - }; - - double lp2_a[] = { 0.019538882735286728, - -0.021101834024758855, - -0.17532808990845047, - 0.016602105764522319, - 0.63397896345821192, - 0.72340769040242059, - 0.1993975339773936, - -0.039134249302383094, - 0.029519490925774643, - 0.027333068345077982 - - }; - - double hp2_a[] = { 0.027333068345077982, - -0.029519490925774643, - -0.039134249302383094, - -0.1993975339773936, - 0.72340769040242059, - -0.63397896345821192, - 0.016602105764522319, - 0.17532808990845047, - -0.021101834024758855, - -0.019538882735286728 - }; - for (i = 0; i < 10; ++i) { - lp1[i] = lp1_a[i]; - hp1[i] = hp1_a[i]; - lp2[i] = lp2_a[i]; - hp2[i] = hp2_a[i]; - } - return 10; + copy_reverse(sym5, N, lp1); + qmf_wrev(sym5, N, hp1); + copy(sym5, N, lp2); + qmf_even(sym5, N, hp2); + return N; } else if (!strcmp(name,"sym6")){ - double lp1_a[] = { 0.015404109327027373, - 0.0034907120842174702, - -0.11799011114819057, - -0.048311742585632998, - 0.49105594192674662, - 0.787641141030194, - 0.3379294217276218, - -0.072637522786462516, - -0.021060292512300564, - 0.044724901770665779, - 0.0017677118642428036, - -0.007800708325034148 - }; - - double hp1_a[] = { 0.007800708325034148, - 0.0017677118642428036, - -0.044724901770665779, - -0.021060292512300564, - 0.072637522786462516, - 0.3379294217276218, - -0.787641141030194, - 0.49105594192674662, - 0.048311742585632998, - -0.11799011114819057, - -0.0034907120842174702, - 0.015404109327027373 - }; - - double lp2_a[] = { -0.007800708325034148, - 0.0017677118642428036, - 0.044724901770665779, - -0.021060292512300564, - -0.072637522786462516, - 0.3379294217276218, - 0.787641141030194, - 0.49105594192674662, - -0.048311742585632998, - -0.11799011114819057, - 0.0034907120842174702, - 0.015404109327027373 - }; - - double hp2_a[] = { 0.015404109327027373, - -0.0034907120842174702, - -0.11799011114819057, - 0.048311742585632998, - 0.49105594192674662, - -0.787641141030194, - 0.3379294217276218, - 0.072637522786462516, - -0.021060292512300564, - -0.044724901770665779, - 0.0017677118642428036, - 0.007800708325034148 - }; - for (i = 0; i < 12; ++i) { - lp1[i] = lp1_a[i]; - hp1[i] = hp1_a[i]; - lp2[i] = lp2_a[i]; - hp2[i] = hp2_a[i]; - } - return 12; + copy_reverse(sym6, N, lp1); + qmf_wrev(sym6, N, hp1); + copy(sym6, N, lp2); + qmf_even(sym6, N, hp2); + return N; } else if (!strcmp(name,"sym7")){ - double lp1_a[] = { 0.0026818145682578781, - -0.0010473848886829163, - -0.01263630340325193, - 0.03051551316596357, - 0.067892693501372697, - -0.049552834937127255, - 0.017441255086855827, - 0.5361019170917628, - 0.76776431700316405, - 0.28862963175151463, - -0.14004724044296152, - -0.10780823770381774, - 0.0040102448715336634, - 0.010268176708511255 - }; - - double hp1_a[] = { -0.010268176708511255, - 0.0040102448715336634, - 0.10780823770381774, - -0.14004724044296152, - -0.28862963175151463, - 0.76776431700316405, - -0.5361019170917628, - 0.017441255086855827, - 0.049552834937127255, - 0.067892693501372697, - -0.03051551316596357, - -0.01263630340325193, - 0.0010473848886829163, - 0.0026818145682578781 - - }; - - double lp2_a[] = { 0.010268176708511255, - 0.0040102448715336634, - -0.10780823770381774, - -0.14004724044296152, - 0.28862963175151463, - 0.76776431700316405, - 0.5361019170917628, - 0.017441255086855827, - -0.049552834937127255, - 0.067892693501372697, - 0.03051551316596357, - -0.01263630340325193, - -0.0010473848886829163, - 0.0026818145682578781 - }; - - double hp2_a[] = { 0.0026818145682578781, - 0.0010473848886829163, - -0.01263630340325193, - -0.03051551316596357, - 0.067892693501372697, - 0.049552834937127255, - 0.017441255086855827, - -0.5361019170917628, - 0.76776431700316405, - -0.28862963175151463, - -0.14004724044296152, - 0.10780823770381774, - 0.0040102448715336634, - -0.010268176708511255 - }; - for (i = 0; i < 14; ++i) { - lp1[i] = lp1_a[i]; - hp1[i] = hp1_a[i]; - lp2[i] = lp2_a[i]; - hp2[i] = hp2_a[i]; - } - return 14; + copy_reverse(sym7, N, lp1); + qmf_wrev(sym7, N, hp1); + copy(sym7, N, lp2); + qmf_even(sym7, N, hp2); + return N; } else if (!strcmp(name,"sym8")){ - double lp1_a[] = { -0.0033824159510061256, - -0.00054213233179114812, - 0.031695087811492981, - 0.0076074873249176054, - -0.14329423835080971, - -0.061273359067658524, - 0.48135965125837221, - 0.77718575170052351, - 0.3644418948353314, - -0.051945838107709037, - -0.027219029917056003, - 0.049137179673607506, - 0.0038087520138906151, - -0.014952258337048231, - -0.0003029205147213668, - 0.0018899503327594609 - }; - - double hp1_a[] = { -0.0018899503327594609, - -0.0003029205147213668, - 0.014952258337048231, - 0.0038087520138906151, - -0.049137179673607506, - -0.027219029917056003, - 0.051945838107709037, - 0.3644418948353314, - -0.77718575170052351, - 0.48135965125837221, - 0.061273359067658524, - -0.14329423835080971, - -0.0076074873249176054, - 0.031695087811492981, - 0.00054213233179114812, - -0.0033824159510061256 - }; - - double lp2_a[] = { 0.0018899503327594609, - -0.0003029205147213668, - -0.014952258337048231, - 0.0038087520138906151, - 0.049137179673607506, - -0.027219029917056003, - -0.051945838107709037, - 0.3644418948353314, - 0.77718575170052351, - 0.48135965125837221, - -0.061273359067658524, - -0.14329423835080971, - 0.0076074873249176054, - 0.031695087811492981, - -0.00054213233179114812, - -0.0033824159510061256 - }; - - double hp2_a[] = { -0.0033824159510061256, - 0.00054213233179114812, - 0.031695087811492981, - -0.0076074873249176054, - -0.14329423835080971, - 0.061273359067658524, - 0.48135965125837221, - -0.77718575170052351, - 0.3644418948353314, - 0.051945838107709037, - -0.027219029917056003, - -0.049137179673607506, - 0.0038087520138906151, - 0.014952258337048231, - -0.0003029205147213668, - -0.0018899503327594609 - }; - for (i = 0; i < 16; ++i) { - lp1[i] = lp1_a[i]; - hp1[i] = hp1_a[i]; - lp2[i] = lp2_a[i]; - hp2[i] = hp2_a[i]; - } - return 16; + copy_reverse(sym8, N, lp1); + qmf_wrev(sym8, N, hp1); + copy(sym8, N, lp2); + qmf_even(sym8, N, hp2); + return N; } else if (!strcmp(name,"sym9")){ - double lp1_a[] = { 0.0014009155259146807, - 0.00061978088898558676, - -0.013271967781817119, - -0.01152821020767923, - 0.03022487885827568, - 0.00058346274612580684, - -0.054568958430834071, - 0.238760914607303, - 0.717897082764412, - 0.61733844914093583, - 0.035272488035271894, - -0.19155083129728512, - -0.018233770779395985, - 0.06207778930288603, - 0.0088592674934004842, - -0.010264064027633142, - -0.00047315449868008311, - 0.0010694900329086053 - }; - - double hp1_a[] = { -0.0010694900329086053, - -0.00047315449868008311, - 0.010264064027633142, - 0.0088592674934004842, - -0.06207778930288603, - -0.018233770779395985, - 0.19155083129728512, - 0.035272488035271894, - -0.61733844914093583, - 0.717897082764412, - -0.238760914607303, - -0.054568958430834071, - -0.00058346274612580684, - 0.03022487885827568, - 0.01152821020767923, - -0.013271967781817119, - -0.00061978088898558676, - 0.0014009155259146807 - }; - - double lp2_a[] = { 0.0010694900329086053, - -0.00047315449868008311, - -0.010264064027633142, - 0.0088592674934004842, - 0.06207778930288603, - -0.018233770779395985, - -0.19155083129728512, - 0.035272488035271894, - 0.61733844914093583, - 0.717897082764412, - 0.238760914607303, - -0.054568958430834071, - 0.00058346274612580684, - 0.03022487885827568, - -0.01152821020767923, - -0.013271967781817119, - 0.00061978088898558676, - 0.0014009155259146807 - }; - - double hp2_a[] = { 0.0014009155259146807, - -0.00061978088898558676, - -0.013271967781817119, - 0.01152821020767923, - 0.03022487885827568, - -0.00058346274612580684, - -0.054568958430834071, - -0.238760914607303, - 0.717897082764412, - -0.61733844914093583, - 0.035272488035271894, - 0.19155083129728512, - -0.018233770779395985, - -0.06207778930288603, - 0.0088592674934004842, - 0.010264064027633142, - -0.00047315449868008311, - -0.0010694900329086053 - }; - for (i = 0; i < 18; ++i) { - lp1[i] = lp1_a[i]; - hp1[i] = hp1_a[i]; - lp2[i] = lp2_a[i]; - hp2[i] = hp2_a[i]; - } - return 18; + copy_reverse(sym9, N, lp1); + qmf_wrev(sym9, N, hp1); + copy(sym9, N, lp2); + qmf_even(sym9, N, hp2); + return N; } else if (!strcmp(name,"sym10")){ - double lp1_a[] = { 0.00077015980911449011, - 9.5632670722894754e-05, - -0.0086412992770224222, - -0.0014653825813050513, - 0.045927239231092203, - 0.011609893903711381, - -0.15949427888491757, - -0.070880535783243853, - 0.47169066693843925, - 0.7695100370211071, - 0.38382676106708546, - -0.035536740473817552, - -0.0319900568824278, - 0.049994972077376687, - 0.0057649120335819086, - -0.02035493981231129, - -0.00080435893201654491, - 0.0045931735853118284, - 5.7036083618494284e-05, - -0.00045932942100465878 - }; - - double hp1_a[] = { 0.00045932942100465878, - 5.7036083618494284e-05, - -0.0045931735853118284, - -0.00080435893201654491, - 0.02035493981231129, - 0.0057649120335819086, - -0.049994972077376687, - -0.0319900568824278, - 0.035536740473817552, - 0.38382676106708546, - -0.7695100370211071, - 0.47169066693843925, - 0.070880535783243853, - -0.15949427888491757, - -0.011609893903711381, - 0.045927239231092203, - 0.0014653825813050513, - -0.0086412992770224222, - -9.5632670722894754e-05, - 0.00077015980911449011 - }; - - double lp2_a[] = { -0.00045932942100465878, - 5.7036083618494284e-05, - 0.0045931735853118284, - -0.00080435893201654491, - -0.02035493981231129, - 0.0057649120335819086, - 0.049994972077376687, - -0.0319900568824278, - -0.035536740473817552, - 0.38382676106708546, - 0.7695100370211071, - 0.47169066693843925, - -0.070880535783243853, - -0.15949427888491757, - 0.011609893903711381, - 0.045927239231092203, - -0.0014653825813050513, - -0.0086412992770224222, - 9.5632670722894754e-05, - 0.00077015980911449011 - }; - - double hp2_a[] = { 0.00077015980911449011, - -9.5632670722894754e-05, - -0.0086412992770224222, - 0.0014653825813050513, - 0.045927239231092203, - -0.011609893903711381, - -0.15949427888491757, - 0.070880535783243853, - 0.47169066693843925, - -0.7695100370211071, - 0.38382676106708546, - 0.035536740473817552, - -0.0319900568824278, - -0.049994972077376687, - 0.0057649120335819086, - 0.02035493981231129, - -0.00080435893201654491, - -0.0045931735853118284, - 5.7036083618494284e-05, - 0.00045932942100465878 - }; - for (i = 0; i < 20; ++i) { - lp1[i] = lp1_a[i]; - hp1[i] = hp1_a[i]; - lp2[i] = lp2_a[i]; - hp2[i] = hp2_a[i]; - } - return 20; + copy_reverse(sym10, N, lp1); + qmf_wrev(sym10, N, hp1); + copy(sym10, N, lp2); + qmf_even(sym10, N, hp2); + return N; } - + else if (!strcmp(name, "sym11")){ + copy_reverse(sym11, N, lp1); + qmf_wrev(sym11, N, hp1); + copy(sym11, N, lp2); + qmf_even(sym11, N, hp2); + return N; + } + else if (!strcmp(name, "sym12")){ + copy_reverse(sym12, N, lp1); + qmf_wrev(sym12, N, hp1); + copy(sym12, N, lp2); + qmf_even(sym12, N, hp2); + return N; + } + else if (!strcmp(name, "sym13")){ + copy_reverse(sym13, N, lp1); + qmf_wrev(sym13, N, hp1); + copy(sym13, N, lp2); + qmf_even(sym13, N, hp2); + return N; + } + else if (!strcmp(name, "sym14")){ + copy_reverse(sym14, N, lp1); + qmf_wrev(sym14, N, hp1); + copy(sym14, N, lp2); + qmf_even(sym14, N, hp2); + return N; + } + else if (!strcmp(name, "sym15")){ + copy_reverse(sym15, N, lp1); + qmf_wrev(sym15, N, hp1); + copy(sym15, N, lp2); + qmf_even(sym15, N, hp2); + return N; + } + else if (!strcmp(name, "sym16")){ + copy_reverse(sym16, N, lp1); + qmf_wrev(sym16, N, hp1); + copy(sym16, N, lp2); + qmf_even(sym16, N, hp2); + return N; + } + else if (!strcmp(name, "sym17")){ + copy_reverse(sym17, N, lp1); + qmf_wrev(sym17, N, hp1); + copy(sym17, N, lp2); + qmf_even(sym17, N, hp2); + return N; + } + else if (!strcmp(name, "sym18")){ + copy_reverse(sym18, N, lp1); + qmf_wrev(sym18, N, hp1); + copy(sym18, N, lp2); + qmf_even(sym18, N, hp2); + return N; + } + else if (!strcmp(name, "sym19")){ + copy_reverse(sym19, N, lp1); + qmf_wrev(sym19, N, hp1); + copy(sym19, N, lp2); + qmf_even(sym19, N, hp2); + return N; + } + else if (!strcmp(name, "sym20")){ + copy_reverse(sym20, N, lp1); + qmf_wrev(sym20, N, hp1); + copy(sym20, N, lp2); + qmf_even(sym20, N, hp2); + return N; + } else { printf("\n Filter Not in Database \n"); diff --git a/src/wavefilt.h b/src/wavefilt.h index 999e29f..9b52ff3 100644 --- a/src/wavefilt.h +++ b/src/wavefilt.h @@ -7,6 +7,8 @@ Copyright (c) 2016, Holger Nahrstaedt #include #include "conv.h" +#define _USE_MATH_DEFINES +#include "math.h" #ifdef __cplusplus extern "C" { diff --git a/test/s1.txt b/test/s1.txt new file mode 100644 index 0000000..0bac890 --- /dev/null +++ b/test/s1.txt @@ -0,0 +1,79926 @@ +-1.525878906250000000e-04 +-2.136230468750000000e-04 +-4.577636718750000000e-04 +-5.187988281250000000e-04 +-5.798339843750000000e-04 +-4.577636718750000000e-04 +-5.798339843750000000e-04 +-3.967285156250000000e-04 +-3.967285156250000000e-04 +-5.187988281250000000e-04 +-3.967285156250000000e-04 +-3.356933593750000000e-04 +-2.136230468750000000e-04 +-2.136230468750000000e-04 +-4.577636718750000000e-04 +-4.577636718750000000e-04 +-2.136230468750000000e-04 +-2.136230468750000000e-04 +-3.967285156250000000e-04 +-1.525878906250000000e-04 +-3.051757812500000000e-05 +-2.746582031250000000e-04 +6.103515625000000000e-05 +1.220703125000000000e-04 +5.187988281250000000e-04 +6.103515625000000000e-05 +1.220703125000000000e-04 +5.187988281250000000e-04 +0.000000000000000000e+00 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+2.441406250000000000e-04 +5.493164062500000000e-04 +3.662109375000000000e-04 +6.103515625000000000e-04 +1.831054687500000000e-04 +5.493164062500000000e-04 +5.493164062500000000e-04 +4.882812500000000000e-04 +2.441406250000000000e-04 +1.831054687500000000e-04 +4.882812500000000000e-04 +4.882812500000000000e-04 +3.662109375000000000e-04 +1.831054687500000000e-04 +4.882812500000000000e-04 diff --git a/unitTests/wavelibBoostTests/tst_dwt.cpp b/unitTests/wavelibBoostTests/tst_dwt.cpp index e26a607..7c650b3 100644 --- a/unitTests/wavelibBoostTests/tst_dwt.cpp +++ b/unitTests/wavelibBoostTests/tst_dwt.cpp @@ -78,6 +78,15 @@ double sum5(double *array, int N,int m) { return sum; } +double RMS_Error(double *data, double *rec, int N) { + int i; + double sum = 0; + for (i = 0; i < N; ++i) { + sum += (data[i] - rec[i])*(data[i] - rec[i]); + } + return sqrt(sum/((double)N-1)); +} + BOOST_AUTO_TEST_SUITE(DWTTests) BOOST_AUTO_TEST_CASE(ReconstructionTest) @@ -87,13 +96,13 @@ BOOST_AUTO_TEST_CASE(ReconstructionTest) wt_object wt; double *inp,*out,*diff; int N, i,J; - + double epsilon = 1e-15; FILE *ifp; double temp[79926]; - //ifp = fopen("s1.txt", "r"); - ifp = fopen("signal.txt", "r"); + ifp = fopen("s1.txt", "r"); + //ifp = fopen("signal.txt", "r"); i = 0; BOOST_REQUIRE(ifp); @@ -101,24 +110,64 @@ BOOST_AUTO_TEST_CASE(ReconstructionTest) fscanf(ifp, "%lf \n", &temp[i]); i++; } - //N = 79926; + N = 79926; - N = 256; + //N = 256; inp = (double*)malloc(sizeof(double)* N); out = (double*)malloc(sizeof(double)* N); - diff = (double*)malloc(sizeof(double)* N); //wmean = mean(temp, N); for (i = 0; i < N; ++i) { inp[i] = temp[i]; } std::vector waveletNames; - waveletNames.resize(15); - for (unsigned int j = 0; j < waveletNames.size(); j++) + + for (unsigned int j = 0; j < 36; j++) { - waveletNames[j] = std::string("db") + std::to_string(j+1); + waveletNames.push_back(std::string("db") + std::to_string(j + 1)); } + for (unsigned int j = 0; j < 17; j++) + { + waveletNames.push_back(std::string("coif") + std::to_string(j + 1)); + } + for (unsigned int j = 1; j < 20; j++) + { + waveletNames.push_back(std::string("sym") + std::to_string(j + 1)); + } + + waveletNames.push_back("bior1.1"); + waveletNames.push_back("bior1.3"); + waveletNames.push_back("bior1.5"); + waveletNames.push_back("bior2.2"); + waveletNames.push_back("bior2.4"); + waveletNames.push_back("bior2.6"); + waveletNames.push_back("bior2.8"); + waveletNames.push_back("bior3.1"); + waveletNames.push_back("bior3.3"); + waveletNames.push_back("bior3.5"); + waveletNames.push_back("bior3.7"); + waveletNames.push_back("bior3.9"); + waveletNames.push_back("bior4.4"); + waveletNames.push_back("bior5.5"); + waveletNames.push_back("bior6.8"); + + waveletNames.push_back("rbior1.1"); + waveletNames.push_back("rbior1.3"); + waveletNames.push_back("rbior1.5"); + waveletNames.push_back("rbior2.2"); + waveletNames.push_back("rbior2.4"); + waveletNames.push_back("rbior2.6"); + waveletNames.push_back("rbior2.8"); + waveletNames.push_back("rbior3.1"); + waveletNames.push_back("rbior3.3"); + waveletNames.push_back("rbior3.5"); + waveletNames.push_back("rbior3.7"); + waveletNames.push_back("rbior3.9"); + waveletNames.push_back("rbior4.4"); + waveletNames.push_back("rbior5.5"); + waveletNames.push_back("rbior6.8"); + for (unsigned int direct_fft = 0; direct_fft < 2; direct_fft++) { for (unsigned int sym_per = 0; sym_per < 2; sym_per++) @@ -128,7 +177,7 @@ BOOST_AUTO_TEST_CASE(ReconstructionTest) char * name = new char[waveletNames[j].size() + 1]; memcpy(name, waveletNames[j].c_str(), waveletNames[j].size() + 1); obj = wave_init(name);// Initialize the wavelet - for (J = 1; J < 4; J++) + for (J = 1; J < 2; J++) { //J = 3; @@ -146,13 +195,13 @@ BOOST_AUTO_TEST_CASE(ReconstructionTest) idwt(wt, out);// Perform IDWT (if needed) // Test Reconstruction - for (i = 0; i < wt->siglength; ++i) { - diff[i] = out[i] - inp[i]; - } + if (direct_fft == 0) - BOOST_CHECK_SMALL(absmax(diff, wt->siglength), 1e-12); // If Reconstruction succeeded then the output should be a small value. + epsilon = 1e-8; else - BOOST_CHECK_SMALL(absmax(diff, wt->siglength), 1e-8); + epsilon = 1e-10; + BOOST_CHECK_SMALL(RMS_Error(out, inp, wt->siglength), epsilon); // If Reconstruction succeeded then the output should be a small value. + wt_free(wt); } @@ -162,7 +211,6 @@ BOOST_AUTO_TEST_CASE(ReconstructionTest) } free(out); - free(diff); free(inp); } @@ -192,4 +240,131 @@ BOOST_AUTO_TEST_CASE(DBCoefTests) } } + +BOOST_AUTO_TEST_CASE(CoifCoefTests) +{ + wave_object obj; + double epsilon = 1e-15; + std::vector waveletNames; + waveletNames.resize(17); + for (unsigned int i = 0; i < waveletNames.size(); i++) + { + waveletNames[i] = std::string("coif") + std::to_string(i + 1); + } + + for (unsigned int j = 0; j < waveletNames.size(); j++) + { + char * name = new char[waveletNames[j].size() + 1]; + memcpy(name, waveletNames[j].c_str(), waveletNames[j].size() + 1); + obj = wave_init(name);// Initialize the wavelet + BOOST_CHECK_SMALL(sum1(obj->lpr, obj->lpr_len) - std::sqrt(2.0), epsilon); + BOOST_CHECK_SMALL(sum2(obj->lpr, obj->lpr_len) - 1. / std::sqrt(2.0), epsilon); + BOOST_CHECK_SMALL(sum3(obj->lpr, obj->lpr_len) - 1. / std::sqrt(2.0), epsilon); + BOOST_CHECK_SMALL(sum4(obj->lpr, obj->lpr_len) - 1., epsilon); + for (int m = 1; m < (obj->lpr_len / 2) - 1; m++) + BOOST_CHECK_SMALL(sum5(obj->lpr, obj->lpr_len, m), epsilon); + wave_free(obj); + } +} + +BOOST_AUTO_TEST_CASE(SymCoefTests) +{ + wave_object obj; + double epsilon = 1e-10; + std::vector waveletNames; + for (unsigned int i = 1; i < 20; i++) + { + waveletNames.push_back(std::string("sym") + std::to_string(i + 1)); + } + + for (unsigned int j = 0; j < waveletNames.size(); j++) + { + char * name = new char[waveletNames[j].size() + 1]; + memcpy(name, waveletNames[j].c_str(), waveletNames[j].size() + 1); + obj = wave_init(name);// Initialize the wavelet + BOOST_CHECK_SMALL(sum1(obj->lpr, obj->lpr_len) - std::sqrt(2.0), epsilon); + BOOST_CHECK_SMALL(sum2(obj->lpr, obj->lpr_len) - 1. / std::sqrt(2.0), epsilon); + BOOST_CHECK_SMALL(sum3(obj->lpr, obj->lpr_len) - 1. / std::sqrt(2.0), epsilon); + BOOST_CHECK_SMALL(sum4(obj->lpr, obj->lpr_len) - 1., epsilon); + for (int m = 1; m < (obj->lpr_len / 2) - 1; m++) + BOOST_CHECK_SMALL(sum5(obj->lpr, obj->lpr_len, m), epsilon); + wave_free(obj); + } +} + +BOOST_AUTO_TEST_CASE(BiorCoefTests) +{ + wave_object obj; + double epsilon = 1e-10; + std::vector waveletNames; + waveletNames.push_back("bior1.1"); + waveletNames.push_back("bior1.3"); + waveletNames.push_back("bior1.5"); + waveletNames.push_back("bior2.2"); + waveletNames.push_back("bior2.4"); + waveletNames.push_back("bior2.6"); + waveletNames.push_back("bior2.8"); + waveletNames.push_back("bior3.1"); + waveletNames.push_back("bior3.3"); + waveletNames.push_back("bior3.5"); + waveletNames.push_back("bior3.7"); + waveletNames.push_back("bior3.9"); + waveletNames.push_back("bior4.4"); + waveletNames.push_back("bior5.5"); + waveletNames.push_back("bior6.8"); + + for (unsigned int j = 0; j < waveletNames.size(); j++) + { + char * name = new char[waveletNames[j].size() + 1]; + memcpy(name, waveletNames[j].c_str(), waveletNames[j].size() + 1); + obj = wave_init(name);// Initialize the wavelet + BOOST_CHECK_SMALL(sum1(obj->lpr, obj->lpr_len) - std::sqrt(2.0), epsilon); + BOOST_CHECK_SMALL(sum1(obj->lpd, obj->lpd_len) - std::sqrt(2.0), epsilon); + BOOST_CHECK_SMALL(sum2(obj->lpr, obj->lpr_len) - 1. / std::sqrt(2.0), epsilon); + BOOST_CHECK_SMALL(sum2(obj->lpd, obj->lpd_len) - 1. / std::sqrt(2.0), epsilon); + + BOOST_CHECK_SMALL(sum3(obj->lpr, obj->lpr_len) - 1. / std::sqrt(2.0), epsilon); + BOOST_CHECK_SMALL(sum3(obj->lpd, obj->lpd_len) - 1. / std::sqrt(2.0), epsilon); + wave_free(obj); + } +} + +BOOST_AUTO_TEST_CASE(RBiorCoefTests) +{ + wave_object obj; + double epsilon = 1e-10; + std::vector waveletNames; + waveletNames.push_back("rbior1.1"); + waveletNames.push_back("rbior1.3"); + waveletNames.push_back("rbior1.5"); + waveletNames.push_back("rbior2.2"); + waveletNames.push_back("rbior2.4"); + waveletNames.push_back("rbior2.6"); + waveletNames.push_back("rbior2.8"); + waveletNames.push_back("rbior3.1"); + waveletNames.push_back("rbior3.3"); + waveletNames.push_back("rbior3.5"); + waveletNames.push_back("rbior3.7"); + waveletNames.push_back("rbior3.9"); + waveletNames.push_back("rbior4.4"); + waveletNames.push_back("rbior5.5"); + waveletNames.push_back("rbior6.8"); + + for (unsigned int j = 0; j < waveletNames.size(); j++) + { + char * name = new char[waveletNames[j].size() + 1]; + memcpy(name, waveletNames[j].c_str(), waveletNames[j].size() + 1); + obj = wave_init(name);// Initialize the wavelet + BOOST_CHECK_SMALL(sum1(obj->lpr, obj->lpr_len) - std::sqrt(2.0), epsilon); + BOOST_CHECK_SMALL(sum1(obj->lpd, obj->lpd_len) - std::sqrt(2.0), epsilon); + BOOST_CHECK_SMALL(sum2(obj->lpr, obj->lpr_len) - 1. / std::sqrt(2.0), epsilon); + BOOST_CHECK_SMALL(sum2(obj->lpd, obj->lpd_len) - 1. / std::sqrt(2.0), epsilon); + + BOOST_CHECK_SMALL(sum3(obj->lpr, obj->lpr_len) - 1. / std::sqrt(2.0), epsilon); + BOOST_CHECK_SMALL(sum3(obj->lpd, obj->lpd_len) - 1. / std::sqrt(2.0), epsilon); + wave_free(obj); + } +} + + BOOST_AUTO_TEST_SUITE_END() From 5e5fe8ffa8c964e2ab6920a8dcfa8b0c831c0825 Mon Sep 17 00:00:00 2001 From: Holger Nahrstaedt Date: Sun, 28 Feb 2016 10:13:06 +0100 Subject: [PATCH 4/5] Zero-sized array added again pragma added for MSVC compiler. --- src/wavelib.c | 29 +++++++++++------------------ src/wavelib.h | 8 ++++---- 2 files changed, 15 insertions(+), 22 deletions(-) diff --git a/src/wavelib.c b/src/wavelib.c index 77c48f7..3b0768d 100644 --- a/src/wavelib.c +++ b/src/wavelib.c @@ -3,6 +3,10 @@ */ #include "wavelib.h" +#if defined(_MSC_VER) +#pragma warning(disable : 4200) +#pragma warning(disable : 4996) +#endif wave_object wave_init(char* wname) { wave_object obj = NULL; @@ -15,8 +19,7 @@ wave_object wave_init(char* wname) { //strcopy(obj->wname, wname); } - obj = (wave_object)malloc(sizeof(struct wave_set)); - obj->params = (double*)malloc(sizeof(double) * 4 * retval); + obj = (wave_object)malloc(sizeof(struct wave_set) + sizeof(double) * 4 * retval); obj->filtlength = retval; obj->lpd_len = obj->hpd_len = obj->lpr_len = obj->hpr_len = obj->filtlength; @@ -50,14 +53,12 @@ wt_object wt_init(wave_object wave,char* method, int siglength,int J) { } if (method == NULL) { - obj = (wt_object)malloc(sizeof(struct wt_set)); - obj->params = (double*)malloc(sizeof(double)* (siglength + 2 * J * (size + 1))); + obj = (wt_object)malloc(sizeof(struct wt_set) + sizeof(double)* (siglength + 2 * J * (size + 1))); obj->outlength = siglength + 2 * J * (size + 1); // Default strcpy(obj->ext, "sym"); // Default } else if (!strcmp(method, "dwt") || !strcmp(method, "DWT")) { - obj = (wt_object)malloc(sizeof(struct wt_set)); - obj->params = (double*)malloc(sizeof(double)* (siglength + 2 * J * (size + 1))); + obj = (wt_object)malloc(sizeof(struct wt_set) + sizeof(double)* (siglength + 2 * J * (size + 1))); obj->outlength = siglength + 2 * J * (size + 1); // Default strcpy(obj->ext, "sym"); // Default } @@ -67,8 +68,7 @@ wt_object wt_init(wave_object wave,char* method, int siglength,int J) { exit(-1); } - obj = (wt_object)malloc(sizeof(struct wt_set)); - obj->params = (double*)malloc(sizeof(double)* (siglength * (J + 1))); + obj = (wt_object)malloc(sizeof(struct wt_set) + sizeof(double)* (siglength * (J + 1))); obj->outlength = siglength * (J + 1); // Default strcpy(obj->ext, "per"); // Default } @@ -83,8 +83,7 @@ wt_object wt_init(wave_object wave,char* method, int siglength,int J) { } } - obj = (wt_object)malloc(sizeof(struct wt_set)); - obj->params = (double*)malloc(sizeof(double)* (siglength * (J + 1))); + obj = (wt_object)malloc(sizeof(struct wt_set) + sizeof(double)* (siglength * (J + 1))); obj->outlength = siglength * (J + 1); // Default strcpy(obj->ext, "per"); // Default } @@ -150,8 +149,7 @@ wtree_object wtree_init(wave_object wave, int siglength,int J) { elength += temp2; } - obj = (wtree_object)malloc(sizeof(struct wtree_set)); - obj->params = (double*)malloc(sizeof(double)* (siglength * (J + 1) + elength + nodes + J + 1)); + obj = (wtree_object)malloc(sizeof(struct wtree_set) + sizeof(double)* (siglength * (J + 1) + elength + nodes + J + 1)); obj->outlength = siglength * (J + 1) + elength; strcpy(obj->ext, "sym"); @@ -224,8 +222,7 @@ wpt_object wpt_init(wave_object wave, int siglength, int J) { } //printf("elength %d", elength); - obj = (wpt_object)malloc(sizeof(struct wpt_set)); - obj->params = (double*)malloc(sizeof(double)* (elength + 4 * nodes + 2 * J + 6)); + obj = (wpt_object)malloc(sizeof(struct wpt_set) + sizeof(double)* (elength + 4 * nodes + 2 * J + 6)); obj->outlength = siglength + 2 * (J + 1) * (size + 1); strcpy(obj->ext, "sym"); strcpy(obj->entropy, "shannon"); @@ -2537,21 +2534,17 @@ void wpt_summary(wpt_object wt) { } void wave_free(wave_object object) { - free(object->params); free(object); } void wt_free(wt_object object) { - free(object->params); free(object); } void wtree_free(wtree_object object) { - free(object->params); free(object); } void wpt_free(wpt_object object) { - free(object->params); free(object); } diff --git a/src/wavelib.h b/src/wavelib.h index da34a5f..355c113 100644 --- a/src/wavelib.h +++ b/src/wavelib.h @@ -25,7 +25,7 @@ struct wave_set{ double *hpd; double *lpr; double *hpr; - double *params; + double params[0]; }; typedef struct wt_set* wt_object; @@ -50,7 +50,7 @@ struct wt_set{ int zpad; int length[102]; double *output; - double *params; + double params[0]; }; typedef struct wtree_set* wtree_object; @@ -77,7 +77,7 @@ struct wtree_set{ double *output; int *nodelength; int *coeflength; - double *params; + double params[0]; }; typedef struct wpt_set* wpt_object; @@ -106,7 +106,7 @@ struct wpt_set{ int *nodeindex; int *numnodeslevel; int *coeflength; - double *params; + double params[0]; }; From f7786d4dd5b3ce6a76f641a0bd834d89fa627b3d Mon Sep 17 00:00:00 2001 From: Holger Nahrstaedt Date: Sun, 28 Feb 2016 10:17:42 +0100 Subject: [PATCH 5/5] forget header/wavelib.h --- header/wavelib.h | 13 +++++++++---- src/wavelib.c | 4 ---- src/wavelib.h | 5 +++++ 3 files changed, 14 insertions(+), 8 deletions(-) diff --git a/header/wavelib.h b/header/wavelib.h index a6a8645..62a9f67 100644 --- a/header/wavelib.h +++ b/header/wavelib.h @@ -5,6 +5,11 @@ extern "C" { #endif +#if defined(_MSC_VER) +#pragma warning(disable : 4200) +#pragma warning(disable : 4996) +#endif + #ifndef fft_type #define fft_type double #endif @@ -24,7 +29,7 @@ struct wave_set{ double *hpd; double *lpr; double *hpr; - double *params; + double params[0]; }; typedef struct fft_t { @@ -88,7 +93,7 @@ struct wt_set{ int zpad; int length[102]; double *output; - double *params; + double params[0]; }; typedef struct wtree_set* wtree_object; @@ -115,7 +120,7 @@ struct wtree_set{ double *output; int *nodelength; int *coeflength; - double *params; + double params[0]; }; typedef struct wpt_set* wpt_object; @@ -144,7 +149,7 @@ struct wpt_set{ int *nodeindex; int *numnodeslevel; int *coeflength; - double *params; + double params[0]; }; diff --git a/src/wavelib.c b/src/wavelib.c index 3b0768d..5184fe1 100644 --- a/src/wavelib.c +++ b/src/wavelib.c @@ -3,10 +3,6 @@ */ #include "wavelib.h" -#if defined(_MSC_VER) -#pragma warning(disable : 4200) -#pragma warning(disable : 4996) -#endif wave_object wave_init(char* wname) { wave_object obj = NULL; diff --git a/src/wavelib.h b/src/wavelib.h index 355c113..e4e7152 100644 --- a/src/wavelib.h +++ b/src/wavelib.h @@ -10,6 +10,11 @@ Copyright (c) 2014, Rafat Hussain extern "C" { #endif +#if defined(_MSC_VER) +#pragma warning(disable : 4200) +#pragma warning(disable : 4996) +#endif + typedef struct wave_set* wave_object; wave_object wave_init(char* wname);