Mercurial > hg > qm-dsp
view dsp/wavelet/Wavelet.cpp @ 489:701233f8ed41
Make include-guards consistent
| author | Chris Cannam <cannam@all-day-breakfast.com> |
|---|---|
| date | Fri, 31 May 2019 16:48:37 +0100 |
| parents | fdaa63607c15 |
| children |
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/* -*- c-basic-offset: 4 indent-tabs-mode: nil -*- vi:set ts=8 sts=4 sw=4: */ /* QM DSP Library Centre for Digital Music, Queen Mary, University of London. This file copyright 2009 Thomas Wilmering. This program is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 2 of the License, or (at your option) any later version. See the file COPYING included with this distribution for more information. */ #include "Wavelet.h" #include <cassert> std::string Wavelet::getWaveletName(Type wavelet) { switch (wavelet) { case Haar: return "Haar"; case Daubechies_2: return "Daubechies 2"; case Daubechies_3: return "Daubechies 3"; case Daubechies_4: return "Daubechies 4"; case Daubechies_5: return "Daubechies 5"; case Daubechies_6: return "Daubechies 6"; case Daubechies_7: return "Daubechies 7"; case Daubechies_8: return "Daubechies 8"; case Daubechies_9: return "Daubechies 9"; case Daubechies_10: return "Daubechies 10"; case Daubechies_20: return "Daubechies 20"; case Daubechies_40: return "Daubechies 40"; case Symlet_2: return "Symlet 2"; case Symlet_3: return "Symlet 3"; case Symlet_4: return "Symlet 4"; case Symlet_5: return "Symlet 5"; case Symlet_6: return "Symlet 6"; case Symlet_7: return "Symlet 7"; case Symlet_8: return "Symlet 8"; case Symlet_9: return "Symlet 9"; case Symlet_10: return "Symlet 10"; case Symlet_20: return "Symlet 20"; case Symlet_30: return "Symlet 30"; case Coiflet_1: return "Coiflet 1"; case Coiflet_2: return "Coiflet 2"; case Coiflet_3: return "Coiflet 3"; case Coiflet_4: return "Coiflet 4"; case Coiflet_5: return "Coiflet 5"; case Biorthogonal_1_3: return "Biorthogonal 1.3"; case Biorthogonal_1_5: return "Biorthogonal 1.5"; case Biorthogonal_2_2: return "Biorthogonal 2.2"; case Biorthogonal_2_4: return "Biorthogonal 2.4"; case Biorthogonal_2_6: return "Biorthogonal 2.6"; case Biorthogonal_2_8: return "Biorthogonal 2.8"; case Biorthogonal_3_1: return "Biorthogonal 3.1"; case Biorthogonal_3_3: return "Biorthogonal 3.3"; case Biorthogonal_3_5: return "Biorthogonal 3.5"; case Biorthogonal_3_7: return "Biorthogonal 3.7"; case Biorthogonal_3_9: return "Biorthogonal 3.9"; case Biorthogonal_4_4: return "Biorthogonal 4.4"; case Biorthogonal_5_5: return "Biorthogonal 5.5"; case Biorthogonal_6_8: return "Biorthogonal 6.8"; case Meyer: return "Meyer"; } return "(unknown)"; } void Wavelet::createDecompositionFilters(Type wavelet, std::vector<double> &lpd, std::vector<double> &hpd) { lpd.clear(); hpd.clear(); int flength = 0; switch (wavelet) { case Haar: lpd.push_back(0.70710678118655); lpd.push_back(0.70710678118655); hpd.push_back(-0.70710678118655); hpd.push_back(0.70710678118655); flength = 2; break; case Daubechies_2: lpd.push_back(-0.12940952255092); lpd.push_back(0.22414386804186); lpd.push_back(0.83651630373747); lpd.push_back(0.48296291314469); hpd.push_back(-0.48296291314469); hpd.push_back(0.83651630373747); hpd.push_back(-0.22414386804186); hpd.push_back(-0.12940952255092); flength = 4; break; case Daubechies_3: lpd.push_back(0.03522629188210); lpd.push_back(-0.08544127388224); lpd.push_back(-0.13501102001039); lpd.push_back(0.45987750211933); lpd.push_back(0.80689150931334); lpd.push_back(0.33267055295096); hpd.push_back(-0.33267055295096); hpd.push_back(0.80689150931334); hpd.push_back(-0.45987750211933); hpd.push_back(-0.13501102001039); hpd.push_back(0.08544127388224); hpd.push_back(0.03522629188210); flength = 6; break; case Daubechies_4: lpd.push_back(-0.01059740178500); lpd.push_back(0.03288301166698); lpd.push_back(0.03084138183599); lpd.push_back(-0.18703481171888); lpd.push_back(-0.02798376941698); lpd.push_back(0.63088076792959); lpd.push_back(0.71484657055254); lpd.push_back(0.23037781330886); hpd.push_back(-0.23037781330886); hpd.push_back(0.71484657055254); hpd.push_back(-0.63088076792959); hpd.push_back(-0.02798376941698); hpd.push_back(0.18703481171888); hpd.push_back(0.03084138183599); hpd.push_back(-0.03288301166698); hpd.push_back(-0.01059740178500); flength = 8; break; case Daubechies_5: lpd.push_back(0.00333572528500); lpd.push_back(-0.01258075199902); lpd.push_back(-0.00624149021301); lpd.push_back(0.07757149384007); lpd.push_back(-0.03224486958503); lpd.push_back(-0.24229488706619); lpd.push_back(0.13842814590110); lpd.push_back(0.72430852843857); lpd.push_back(0.60382926979747); lpd.push_back(0.16010239797413); hpd.push_back(-0.16010239797413); hpd.push_back(0.60382926979747); hpd.push_back(-0.72430852843857); hpd.push_back(0.13842814590110); hpd.push_back(0.24229488706619); hpd.push_back(-0.03224486958503); hpd.push_back(-0.07757149384007); hpd.push_back(-0.00624149021301); hpd.push_back(0.01258075199902); hpd.push_back(0.00333572528500); flength = 10; break; case Daubechies_6: lpd.push_back(-0.00107730108500); lpd.push_back(0.00477725751101); lpd.push_back(0.00055384220099); lpd.push_back(-0.03158203931803); lpd.push_back(0.02752286553002); lpd.push_back(0.09750160558708); lpd.push_back(-0.12976686756710); lpd.push_back(-0.22626469396517); lpd.push_back(0.31525035170924); lpd.push_back(0.75113390802158); lpd.push_back(0.49462389039839); lpd.push_back(0.11154074335008); hpd.push_back(-0.11154074335008); hpd.push_back(0.49462389039839); hpd.push_back(-0.75113390802158); hpd.push_back(0.31525035170924); hpd.push_back(0.22626469396517); hpd.push_back(-0.12976686756710); hpd.push_back(-0.09750160558708); hpd.push_back(0.02752286553002); hpd.push_back(0.03158203931803); hpd.push_back(0.00055384220099); hpd.push_back(-0.00477725751101); hpd.push_back(-0.00107730108500); flength = 12; break; case Daubechies_7: lpd.push_back(0.00035371380000); lpd.push_back(-0.00180164070400); lpd.push_back(0.00042957797300); lpd.push_back(0.01255099855601); lpd.push_back(-0.01657454163102); lpd.push_back(-0.03802993693503); lpd.push_back(0.08061260915107); lpd.push_back(0.07130921926705); lpd.push_back(-0.22403618499417); lpd.push_back(-0.14390600392911); lpd.push_back(0.46978228740536); lpd.push_back(0.72913209084656); lpd.push_back(0.39653931948231); lpd.push_back(0.07785205408506); hpd.push_back(-0.07785205408506); hpd.push_back(0.39653931948231); hpd.push_back(-0.72913209084656); hpd.push_back(0.46978228740536); hpd.push_back(0.14390600392911); hpd.push_back(-0.22403618499417); hpd.push_back(-0.07130921926705); hpd.push_back(0.08061260915107); hpd.push_back(0.03802993693503); hpd.push_back(-0.01657454163102); hpd.push_back(-0.01255099855601); hpd.push_back(0.00042957797300); hpd.push_back(0.00180164070400); hpd.push_back(0.00035371380000); flength = 14; break; case Daubechies_8: lpd.push_back(-0.00011747678400); lpd.push_back(0.00067544940600); lpd.push_back(-0.00039174037300); lpd.push_back(-0.00487035299301); lpd.push_back(0.00874609404702); lpd.push_back(0.01398102791702); lpd.push_back(-0.04408825393106); lpd.push_back(-0.01736930100202); lpd.push_back(0.12874742662019); lpd.push_back(0.00047248457400); lpd.push_back(-0.28401554296243); lpd.push_back(-0.01582910525602); lpd.push_back(0.58535468365487); lpd.push_back(0.67563073629801); lpd.push_back(0.31287159091447); lpd.push_back(0.05441584224308); hpd.push_back(-0.05441584224308); hpd.push_back(0.31287159091447); hpd.push_back(-0.67563073629801); hpd.push_back(0.58535468365487); hpd.push_back(0.01582910525602); hpd.push_back(-0.28401554296243); hpd.push_back(-0.00047248457400); hpd.push_back(0.12874742662019); hpd.push_back(0.01736930100202); hpd.push_back(-0.04408825393106); hpd.push_back(-0.01398102791702); hpd.push_back(0.00874609404702); hpd.push_back(0.00487035299301); hpd.push_back(-0.00039174037300); hpd.push_back(-0.00067544940600); hpd.push_back(-0.00011747678400); flength = 16; break; case Daubechies_9: lpd.push_back(0.00003934732000); lpd.push_back(-0.00025196318900); lpd.push_back(0.00023038576400); lpd.push_back(0.00184764688296); lpd.push_back(-0.00428150368190); lpd.push_back(-0.00472320475789); lpd.push_back(0.02236166212352); lpd.push_back(0.00025094711499); lpd.push_back(-0.06763282905952); lpd.push_back(0.03072568147832); lpd.push_back(0.14854074933476); lpd.push_back(-0.09684078322088); lpd.push_back(-0.29327378327259); lpd.push_back(0.13319738582209); lpd.push_back(0.65728807803664); lpd.push_back(0.60482312367678); lpd.push_back(0.24383467463767); lpd.push_back(0.03807794736317); hpd.push_back(-0.03807794736317); hpd.push_back(0.24383467463767); hpd.push_back(-0.60482312367678); hpd.push_back(0.65728807803664); hpd.push_back(-0.13319738582209); hpd.push_back(-0.29327378327259); hpd.push_back(0.09684078322088); hpd.push_back(0.14854074933476); hpd.push_back(-0.03072568147832); hpd.push_back(-0.06763282905952); hpd.push_back(-0.00025094711499); hpd.push_back(0.02236166212352); hpd.push_back(0.00472320475789); hpd.push_back(-0.00428150368190); hpd.push_back(-0.00184764688296); hpd.push_back(0.00023038576400); hpd.push_back(0.00025196318900); hpd.push_back(0.00003934732000); flength = 18; break; case Daubechies_10: lpd.push_back(-0.00001326420300); lpd.push_back(0.00009358867000); lpd.push_back(-0.00011646685499); lpd.push_back(-0.00068585669500); lpd.push_back(0.00199240529499); lpd.push_back(0.00139535174699); lpd.push_back(-0.01073317548298); lpd.push_back(0.00360655356699); lpd.push_back(0.03321267405893); lpd.push_back(-0.02945753682195); lpd.push_back(-0.07139414716586); lpd.push_back(0.09305736460381); lpd.push_back(0.12736934033574); lpd.push_back(-0.19594627437660); lpd.push_back(-0.24984642432649); lpd.push_back(0.28117234366043); lpd.push_back(0.68845903945259); lpd.push_back(0.52720118893092); lpd.push_back(0.18817680007762); lpd.push_back(0.02667005790095); hpd.push_back(-0.02667005790095); hpd.push_back(0.18817680007762); hpd.push_back(-0.52720118893092); hpd.push_back(0.68845903945259); hpd.push_back(-0.28117234366043); hpd.push_back(-0.24984642432649); hpd.push_back(0.19594627437660); hpd.push_back(0.12736934033574); hpd.push_back(-0.09305736460381); hpd.push_back(-0.07139414716586); hpd.push_back(0.02945753682195); hpd.push_back(0.03321267405893); hpd.push_back(-0.00360655356699); hpd.push_back(-0.01073317548298); hpd.push_back(-0.00139535174699); hpd.push_back(0.00199240529499); hpd.push_back(0.00068585669500); hpd.push_back(-0.00011646685499); hpd.push_back(-0.00009358867000); hpd.push_back(-0.00001326420300); flength = 20; break; case Daubechies_20: lpd.push_back(-0.00000000029988); lpd.push_back(0.00000000405613); lpd.push_back(-0.00000001814843); lpd.push_back(0.00000000020143); lpd.push_back(0.00000026339242); lpd.push_back(-0.00000068470796); lpd.push_back(-0.00000101199401); lpd.push_back(0.00000724124829); lpd.push_back(-0.00000437614386); lpd.push_back(-0.00003710586183); lpd.push_back(0.00006774280828); lpd.push_back(0.00010153288973); lpd.push_back(-0.00038510474870); lpd.push_back(-0.00005349759845); lpd.push_back(0.00139255961930); lpd.push_back(-0.00083156217284); lpd.push_back(-0.00358149425960); lpd.push_back(0.00442054238705); lpd.push_back(0.00672162730228); lpd.push_back(-0.01381052613705); lpd.push_back(-0.00878932492387); lpd.push_back(0.03229429953057); lpd.push_back(0.00587468181179); lpd.push_back(-0.06172289962416); lpd.push_back(0.00563224685793); lpd.push_back(0.10229171917503); lpd.push_back(-0.02471682733721); lpd.push_back(-0.15545875070532); lpd.push_back(0.03985024645854); lpd.push_back(0.22829105081947); lpd.push_back(-0.01672708830868); lpd.push_back(-0.32678680043239); lpd.push_back(-0.13921208801080); lpd.push_back(0.36150229873767); lpd.push_back(0.61049323893578); lpd.push_back(0.47269618530872); lpd.push_back(0.21994211355038); lpd.push_back(0.06342378045879); lpd.push_back(0.01054939462490); lpd.push_back(0.00077995361366); hpd.push_back(-0.00077995361366); hpd.push_back(0.01054939462490); hpd.push_back(-0.06342378045879); hpd.push_back(0.21994211355038); hpd.push_back(-0.47269618530872); hpd.push_back(0.61049323893578); hpd.push_back(-0.36150229873767); hpd.push_back(-0.13921208801080); hpd.push_back(0.32678680043239); hpd.push_back(-0.01672708830868); hpd.push_back(-0.22829105081947); hpd.push_back(0.03985024645854); hpd.push_back(0.15545875070532); hpd.push_back(-0.02471682733721); hpd.push_back(-0.10229171917503); hpd.push_back(0.00563224685793); hpd.push_back(0.06172289962416); hpd.push_back(0.00587468181179); hpd.push_back(-0.03229429953057); hpd.push_back(-0.00878932492387); hpd.push_back(0.01381052613705); hpd.push_back(0.00672162730228); hpd.push_back(-0.00442054238705); hpd.push_back(-0.00358149425960); hpd.push_back(0.00083156217284); hpd.push_back(0.00139255961930); hpd.push_back(0.00005349759845); hpd.push_back(-0.00038510474870); hpd.push_back(-0.00010153288973); hpd.push_back(0.00006774280828); hpd.push_back(0.00003710586183); hpd.push_back(-0.00000437614386); hpd.push_back(-0.00000724124829); hpd.push_back(-0.00000101199401); hpd.push_back(0.00000068470796); hpd.push_back(0.00000026339242); hpd.push_back(-0.00000000020143); hpd.push_back(-0.00000001814843); hpd.push_back(-0.00000000405613); hpd.push_back(-0.00000000029988); flength = 40; break; case Daubechies_40: lpd.push_back(-0.00000000000000); lpd.push_back(0.00000000000000); lpd.push_back(-0.00000000000000); lpd.push_back(0.00000000000000); lpd.push_back(-0.00000000000000); lpd.push_back(-0.00000000000001); lpd.push_back(0.00000000000003); lpd.push_back(-0.00000000000001); lpd.push_back(-0.00000000000037); lpd.push_back(0.00000000000121); lpd.push_back(0.00000000000108); lpd.push_back(-0.00000000001441); lpd.push_back(0.00000000001995); lpd.push_back(0.00000000008134); lpd.push_back(-0.00000000029288); lpd.push_back(-0.00000000009963); lpd.push_back(0.00000000205938); lpd.push_back(-0.00000000227332); lpd.push_back(-0.00000000873967); lpd.push_back(0.00000002288390); lpd.push_back(0.00000001741059); lpd.push_back(-0.00000012745008); lpd.push_back(0.00000005361186); lpd.push_back(0.00000048834273); lpd.push_back(-0.00000066863337); lpd.push_back(-0.00000128043283); lpd.push_back(0.00000350778202); lpd.push_back(0.00000165493877); lpd.push_back(-0.00001288842174); lpd.push_back(0.00000406557792); lpd.push_back(0.00003629399945); lpd.push_back(-0.00003566632371); lpd.push_back(-0.00007878802614); lpd.push_back(0.00014251943335); lpd.push_back(0.00012109867291); lpd.push_back(-0.00041818330353); lpd.push_back(-0.00007088554491); lpd.push_back(0.00099285797789); lpd.push_back(-0.00031193527356); lpd.push_back(-0.00197480748041); lpd.push_back(0.00148388984367); lpd.push_back(0.00332132500594); lpd.push_back(-0.00412431015737); lpd.push_back(-0.00467322831674); lpd.push_back(0.00901902126682); lpd.push_back(0.00524573780794); lpd.push_back(-0.01682072694998); lpd.push_back(-0.00388701203892); lpd.push_back(0.02781129406516); lpd.push_back(-0.00059370667303); lpd.push_back(-0.04179364874023); lpd.push_back(0.00895082555981); lpd.push_back(0.05834125954654); lpd.push_back(-0.02094317414735); lpd.push_back(-0.07729538082012); lpd.push_back(0.03492832601473); lpd.push_back(0.09941959711973); lpd.push_back(-0.04741061635274); lpd.push_back(-0.12673146574763); lpd.push_back(0.05216571236437); lpd.push_back(0.16185493481917); lpd.push_back(-0.03814703831047); lpd.push_back(-0.20452405393126); lpd.push_back(-0.01395065907035); lpd.push_back(0.24017584511066); lpd.push_back(0.13119716231525); lpd.push_back(-0.21027451192673); lpd.push_back(-0.31275608334174); lpd.push_back(-0.02817037418845); lpd.push_back(0.35209361261033); lpd.push_back(0.51902874766301); lpd.push_back(0.43815806016110); lpd.push_back(0.25977619424035); lpd.push_back(0.11476477757177); lpd.push_back(0.03842788992792); lpd.push_back(0.00969841552091); lpd.push_back(0.00179808920458); lpd.push_back(0.00023209364055); lpd.push_back(0.00001869221611); lpd.push_back(0.00000070900603); hpd.push_back(-0.00000070900603); hpd.push_back(0.00001869221611); hpd.push_back(-0.00023209364055); hpd.push_back(0.00179808920458); hpd.push_back(-0.00969841552091); hpd.push_back(0.03842788992792); hpd.push_back(-0.11476477757177); hpd.push_back(0.25977619424035); hpd.push_back(-0.43815806016110); hpd.push_back(0.51902874766301); hpd.push_back(-0.35209361261033); hpd.push_back(-0.02817037418845); hpd.push_back(0.31275608334174); hpd.push_back(-0.21027451192673); hpd.push_back(-0.13119716231525); hpd.push_back(0.24017584511066); hpd.push_back(0.01395065907035); hpd.push_back(-0.20452405393126); hpd.push_back(0.03814703831047); hpd.push_back(0.16185493481917); hpd.push_back(-0.05216571236437); hpd.push_back(-0.12673146574763); hpd.push_back(0.04741061635274); hpd.push_back(0.09941959711973); hpd.push_back(-0.03492832601473); hpd.push_back(-0.07729538082012); hpd.push_back(0.02094317414735); hpd.push_back(0.05834125954654); hpd.push_back(-0.00895082555981); hpd.push_back(-0.04179364874023); hpd.push_back(0.00059370667303); hpd.push_back(0.02781129406516); hpd.push_back(0.00388701203892); hpd.push_back(-0.01682072694998); hpd.push_back(-0.00524573780794); hpd.push_back(0.00901902126682); hpd.push_back(0.00467322831674); hpd.push_back(-0.00412431015737); hpd.push_back(-0.00332132500594); hpd.push_back(0.00148388984367); hpd.push_back(0.00197480748041); hpd.push_back(-0.00031193527356); hpd.push_back(-0.00099285797789); hpd.push_back(-0.00007088554491); hpd.push_back(0.00041818330353); hpd.push_back(0.00012109867291); hpd.push_back(-0.00014251943335); hpd.push_back(-0.00007878802614); hpd.push_back(0.00003566632371); hpd.push_back(0.00003629399945); hpd.push_back(-0.00000406557792); hpd.push_back(-0.00001288842174); hpd.push_back(-0.00000165493877); hpd.push_back(0.00000350778202); hpd.push_back(0.00000128043283); hpd.push_back(-0.00000066863337); hpd.push_back(-0.00000048834273); hpd.push_back(0.00000005361186); hpd.push_back(0.00000012745008); hpd.push_back(0.00000001741059); hpd.push_back(-0.00000002288390); hpd.push_back(-0.00000000873967); hpd.push_back(0.00000000227332); hpd.push_back(0.00000000205938); hpd.push_back(0.00000000009963); hpd.push_back(-0.00000000029288); hpd.push_back(-0.00000000008134); hpd.push_back(0.00000000001995); hpd.push_back(0.00000000001441); hpd.push_back(0.00000000000108); hpd.push_back(-0.00000000000121); hpd.push_back(-0.00000000000037); hpd.push_back(0.00000000000001); hpd.push_back(0.00000000000003); hpd.push_back(0.00000000000001); hpd.push_back(-0.00000000000000); hpd.push_back(-0.00000000000000); hpd.push_back(-0.00000000000000); hpd.push_back(-0.00000000000000); hpd.push_back(-0.00000000000000); flength = 80; break; case Symlet_2: lpd.push_back(-0.12940952255092); lpd.push_back(0.22414386804186); lpd.push_back(0.83651630373747); lpd.push_back(0.48296291314469); hpd.push_back(-0.48296291314469); hpd.push_back(0.83651630373747); hpd.push_back(-0.22414386804186); hpd.push_back(-0.12940952255092); flength = 4; break; case Symlet_3: lpd.push_back(0.03522629188210); lpd.push_back(-0.08544127388224); lpd.push_back(-0.13501102001039); lpd.push_back(0.45987750211933); lpd.push_back(0.80689150931334); lpd.push_back(0.33267055295096); hpd.push_back(-0.33267055295096); hpd.push_back(0.80689150931334); hpd.push_back(-0.45987750211933); hpd.push_back(-0.13501102001039); hpd.push_back(0.08544127388224); hpd.push_back(0.03522629188210); flength = 6; break; case Symlet_4: lpd.push_back(-0.07576571478927); lpd.push_back(-0.02963552764600); lpd.push_back(0.49761866763202); lpd.push_back(0.80373875180592); lpd.push_back(0.29785779560528); lpd.push_back(-0.09921954357685); lpd.push_back(-0.01260396726204); lpd.push_back(0.03222310060404); hpd.push_back(-0.03222310060404); hpd.push_back(-0.01260396726204); hpd.push_back(0.09921954357685); hpd.push_back(0.29785779560528); hpd.push_back(-0.80373875180592); hpd.push_back(0.49761866763202); hpd.push_back(0.02963552764600); hpd.push_back(-0.07576571478927); flength = 8; break; case Symlet_5: lpd.push_back(0.02733306834508); lpd.push_back(0.02951949092577); lpd.push_back(-0.03913424930238); lpd.push_back(0.19939753397739); lpd.push_back(0.72340769040242); lpd.push_back(0.63397896345821); lpd.push_back(0.01660210576452); lpd.push_back(-0.17532808990845); lpd.push_back(-0.02110183402476); lpd.push_back(0.01953888273529); hpd.push_back(-0.01953888273529); hpd.push_back(-0.02110183402476); hpd.push_back(0.17532808990845); hpd.push_back(0.01660210576452); hpd.push_back(-0.63397896345821); hpd.push_back(0.72340769040242); hpd.push_back(-0.19939753397739); hpd.push_back(-0.03913424930238); hpd.push_back(-0.02951949092577); hpd.push_back(0.02733306834508); flength = 10; break; case Symlet_6: lpd.push_back(0.01540410932703); lpd.push_back(0.00349071208422); lpd.push_back(-0.11799011114819); lpd.push_back(-0.04831174258563); lpd.push_back(0.49105594192675); lpd.push_back(0.78764114103019); lpd.push_back(0.33792942172762); lpd.push_back(-0.07263752278646); lpd.push_back(-0.02106029251230); lpd.push_back(0.04472490177067); lpd.push_back(0.00176771186424); lpd.push_back(-0.00780070832503); hpd.push_back(0.00780070832503); hpd.push_back(0.00176771186424); hpd.push_back(-0.04472490177067); hpd.push_back(-0.02106029251230); hpd.push_back(0.07263752278646); hpd.push_back(0.33792942172762); hpd.push_back(-0.78764114103019); hpd.push_back(0.49105594192675); hpd.push_back(0.04831174258563); hpd.push_back(-0.11799011114819); hpd.push_back(-0.00349071208422); hpd.push_back(0.01540410932703); flength = 12; break; case Symlet_7: lpd.push_back(0.00268181456826); lpd.push_back(-0.00104738488868); lpd.push_back(-0.01263630340325); lpd.push_back(0.03051551316596); lpd.push_back(0.06789269350137); lpd.push_back(-0.04955283493713); lpd.push_back(0.01744125508686); lpd.push_back(0.53610191709176); lpd.push_back(0.76776431700316); lpd.push_back(0.28862963175151); lpd.push_back(-0.14004724044296); lpd.push_back(-0.10780823770382); lpd.push_back(0.00401024487153); lpd.push_back(0.01026817670851); hpd.push_back(-0.01026817670851); hpd.push_back(0.00401024487153); hpd.push_back(0.10780823770382); hpd.push_back(-0.14004724044296); hpd.push_back(-0.28862963175151); hpd.push_back(0.76776431700316); hpd.push_back(-0.53610191709176); hpd.push_back(0.01744125508686); hpd.push_back(0.04955283493713); hpd.push_back(0.06789269350137); hpd.push_back(-0.03051551316596); hpd.push_back(-0.01263630340325); hpd.push_back(0.00104738488868); hpd.push_back(0.00268181456826); flength = 14; break; case Symlet_8: lpd.push_back(-0.00338241595101); lpd.push_back(-0.00054213233179); lpd.push_back(0.03169508781149); lpd.push_back(0.00760748732492); lpd.push_back(-0.14329423835081); lpd.push_back(-0.06127335906766); lpd.push_back(0.48135965125837); lpd.push_back(0.77718575170052); lpd.push_back(0.36444189483533); lpd.push_back(-0.05194583810771); lpd.push_back(-0.02721902991706); lpd.push_back(0.04913717967361); lpd.push_back(0.00380875201389); lpd.push_back(-0.01495225833705); lpd.push_back(-0.00030292051472); lpd.push_back(0.00188995033276); hpd.push_back(-0.00188995033276); hpd.push_back(-0.00030292051472); hpd.push_back(0.01495225833705); hpd.push_back(0.00380875201389); hpd.push_back(-0.04913717967361); hpd.push_back(-0.02721902991706); hpd.push_back(0.05194583810771); hpd.push_back(0.36444189483533); hpd.push_back(-0.77718575170052); hpd.push_back(0.48135965125837); hpd.push_back(0.06127335906766); hpd.push_back(-0.14329423835081); hpd.push_back(-0.00760748732492); hpd.push_back(0.03169508781149); hpd.push_back(0.00054213233179); hpd.push_back(-0.00338241595101); flength = 16; break; case Symlet_9: lpd.push_back(0.00140091552591); lpd.push_back(0.00061978088899); lpd.push_back(-0.01327196778182); lpd.push_back(-0.01152821020768); lpd.push_back(0.03022487885828); lpd.push_back(0.00058346274612); lpd.push_back(-0.05456895843083); lpd.push_back(0.23876091460730); lpd.push_back(0.71789708276441); lpd.push_back(0.61733844914094); lpd.push_back(0.03527248803527); lpd.push_back(-0.19155083129728); lpd.push_back(-0.01823377077940); lpd.push_back(0.06207778930289); lpd.push_back(0.00885926749340); lpd.push_back(-0.01026406402763); lpd.push_back(-0.00047315449868); lpd.push_back(0.00106949003291); hpd.push_back(-0.00106949003291); hpd.push_back(-0.00047315449868); hpd.push_back(0.01026406402763); hpd.push_back(0.00885926749340); hpd.push_back(-0.06207778930289); hpd.push_back(-0.01823377077940); hpd.push_back(0.19155083129728); hpd.push_back(0.03527248803527); hpd.push_back(-0.61733844914094); hpd.push_back(0.71789708276441); hpd.push_back(-0.23876091460730); hpd.push_back(-0.05456895843083); hpd.push_back(-0.00058346274612); hpd.push_back(0.03022487885828); hpd.push_back(0.01152821020768); hpd.push_back(-0.01327196778182); hpd.push_back(-0.00061978088899); hpd.push_back(0.00140091552591); flength = 18; break; case Symlet_10: lpd.push_back(0.00077015980911); lpd.push_back(0.00009563267072); lpd.push_back(-0.00864129927702); lpd.push_back(-0.00146538258130); lpd.push_back(0.04592723923109); lpd.push_back(0.01160989390371); lpd.push_back(-0.15949427888491); lpd.push_back(-0.07088053578323); lpd.push_back(0.47169066693845); lpd.push_back(0.76951003702110); lpd.push_back(0.38382676106707); lpd.push_back(-0.03553674047383); lpd.push_back(-0.03199005688243); lpd.push_back(0.04999497207737); lpd.push_back(0.00576491203358); lpd.push_back(-0.02035493981231); lpd.push_back(-0.00080435893202); lpd.push_back(0.00459317358531); lpd.push_back(0.00005703608362); lpd.push_back(-0.00045932942100); hpd.push_back(0.00045932942100); hpd.push_back(0.00005703608362); hpd.push_back(-0.00459317358531); hpd.push_back(-0.00080435893202); hpd.push_back(0.02035493981231); hpd.push_back(0.00576491203358); hpd.push_back(-0.04999497207737); hpd.push_back(-0.03199005688243); hpd.push_back(0.03553674047383); hpd.push_back(0.38382676106707); hpd.push_back(-0.76951003702110); hpd.push_back(0.47169066693845); hpd.push_back(0.07088053578323); hpd.push_back(-0.15949427888491); hpd.push_back(-0.01160989390371); hpd.push_back(0.04592723923109); hpd.push_back(0.00146538258130); hpd.push_back(-0.00864129927702); hpd.push_back(-0.00009563267072); hpd.push_back(0.00077015980911); flength = 20; break; case Symlet_20: lpd.push_back(0.00000036955375); lpd.push_back(-0.00000019015676); lpd.push_back(-0.00000791936141); lpd.push_back(0.00000302566606); lpd.push_back(0.00007992967836); lpd.push_back(-0.00001928412301); lpd.push_back(-0.00049473109157); lpd.push_back(0.00007215991188); lpd.push_back(0.00208899470819); lpd.push_back(-0.00030526283181); lpd.push_back(-0.00660658579912); lpd.push_back(0.00142308735944); lpd.push_back(0.01700404902335); lpd.push_back(-0.00331385738375); lpd.push_back(-0.03162943714501); lpd.push_back(0.00812322835637); lpd.push_back(0.02557934951027); lpd.push_back(-0.07899434492693); lpd.push_back(-0.02981936887758); lpd.push_back(0.40583144435233); lpd.push_back(0.75116272842520); lpd.push_back(0.47199147510012); lpd.push_back(-0.05108834292497); lpd.push_back(-0.16057829841831); lpd.push_back(0.03625095165278); lpd.push_back(0.08891966802764); lpd.push_back(-0.00684370196580); lpd.push_back(-0.03537333675714); lpd.push_back(0.00193859706711); lpd.push_back(0.01215704094879); lpd.push_back(-0.00061112638583); lpd.push_back(-0.00347164780287); lpd.push_back(0.00012544091723); lpd.push_back(0.00074761085979); lpd.push_back(-0.00002661555034); lpd.push_back(-0.00011739133516); lpd.push_back(0.00000452542221); lpd.push_back(0.00001228725278); lpd.push_back(-0.00000032567026); lpd.push_back(-0.00000063291290); hpd.push_back(0.00000063291290); hpd.push_back(-0.00000032567026); hpd.push_back(-0.00001228725278); hpd.push_back(0.00000452542221); hpd.push_back(0.00011739133516); hpd.push_back(-0.00002661555034); hpd.push_back(-0.00074761085979); hpd.push_back(0.00012544091723); hpd.push_back(0.00347164780287); hpd.push_back(-0.00061112638583); hpd.push_back(-0.01215704094879); hpd.push_back(0.00193859706711); hpd.push_back(0.03537333675714); hpd.push_back(-0.00684370196580); hpd.push_back(-0.08891966802764); hpd.push_back(0.03625095165278); hpd.push_back(0.16057829841831); hpd.push_back(-0.05108834292497); hpd.push_back(-0.47199147510012); hpd.push_back(0.75116272842520); hpd.push_back(-0.40583144435233); hpd.push_back(-0.02981936887758); hpd.push_back(0.07899434492693); hpd.push_back(0.02557934951027); hpd.push_back(-0.00812322835637); hpd.push_back(-0.03162943714501); hpd.push_back(0.00331385738375); hpd.push_back(0.01700404902335); hpd.push_back(-0.00142308735944); hpd.push_back(-0.00660658579912); hpd.push_back(0.00030526283181); hpd.push_back(0.00208899470819); hpd.push_back(-0.00007215991188); hpd.push_back(-0.00049473109157); hpd.push_back(0.00001928412301); hpd.push_back(0.00007992967836); hpd.push_back(-0.00000302566606); hpd.push_back(-0.00000791936141); hpd.push_back(0.00000019015676); hpd.push_back(0.00000036955375); flength = 40; break; case Symlet_30: lpd.push_back(-0.00000000032641); lpd.push_back(0.00000000014934); lpd.push_back(0.00000001014810); lpd.push_back(-0.00000000380480); lpd.push_back(-0.00000014986093); lpd.push_back(0.00000005465704); lpd.push_back(0.00000142300535); lpd.push_back(-0.00000055432777); lpd.push_back(-0.00000989667666); lpd.push_back(0.00000402586608); lpd.push_back(0.00005384705071); lpd.push_back(-0.00002120203482); lpd.push_back(-0.00023724381672); lpd.push_back(0.00008209438737); lpd.push_back(0.00086145325795); lpd.push_back(-0.00023156681831); lpd.push_back(-0.00258964866287); lpd.push_back(0.00046642571155); lpd.push_back(0.00645416706920); lpd.push_back(-0.00051919282891); lpd.push_back(-0.01284118837655); lpd.push_back(0.00037212345706); lpd.push_back(0.01829725025850); lpd.push_back(-0.00795200356952); lpd.push_back(-0.02521794435506); lpd.push_back(0.02965858822312); lpd.push_back(0.02927100294045); lpd.push_back(-0.09630227559219); lpd.push_back(-0.03849155121162); lpd.push_back(0.40072250790936); lpd.push_back(0.74269376814242); lpd.push_back(0.48469805553706); lpd.push_back(-0.02843778080778); lpd.push_back(-0.16204679936904); lpd.push_back(0.02619852204894); lpd.push_back(0.08910160832786); lpd.push_back(-0.01523693234758); lpd.push_back(-0.04889669606591); lpd.push_back(0.00760939409040); lpd.push_back(0.02556854558808); lpd.push_back(-0.00162932098036); lpd.push_back(-0.01038876672659); lpd.push_back(0.00054379809563); lpd.push_back(0.00371380689803); lpd.push_back(-0.00027628401612); lpd.push_back(-0.00119692132405); lpd.push_back(0.00011735865251); lpd.push_back(0.00034385220669); lpd.push_back(-0.00003293175202); lpd.push_back(-0.00008272690387); lpd.push_back(0.00000647382532); lpd.push_back(0.00001589700426); lpd.push_back(-0.00000089828423); lpd.push_back(-0.00000232354967); lpd.push_back(0.00000008995011); lpd.push_back(0.00000024412960); lpd.push_back(-0.00000000612778); lpd.push_back(-0.00000001650488); lpd.push_back(0.00000000025363); lpd.push_back(0.00000000055439); hpd.push_back(-0.00000000055439); hpd.push_back(0.00000000025363); hpd.push_back(0.00000001650488); hpd.push_back(-0.00000000612778); hpd.push_back(-0.00000024412960); hpd.push_back(0.00000008995011); hpd.push_back(0.00000232354967); hpd.push_back(-0.00000089828423); hpd.push_back(-0.00001589700426); hpd.push_back(0.00000647382532); hpd.push_back(0.00008272690387); hpd.push_back(-0.00003293175202); hpd.push_back(-0.00034385220669); hpd.push_back(0.00011735865251); hpd.push_back(0.00119692132405); hpd.push_back(-0.00027628401612); hpd.push_back(-0.00371380689803); hpd.push_back(0.00054379809563); hpd.push_back(0.01038876672659); hpd.push_back(-0.00162932098036); hpd.push_back(-0.02556854558808); hpd.push_back(0.00760939409040); hpd.push_back(0.04889669606591); hpd.push_back(-0.01523693234758); hpd.push_back(-0.08910160832786); hpd.push_back(0.02619852204894); hpd.push_back(0.16204679936904); hpd.push_back(-0.02843778080778); hpd.push_back(-0.48469805553706); hpd.push_back(0.74269376814242); hpd.push_back(-0.40072250790936); hpd.push_back(-0.03849155121162); hpd.push_back(0.09630227559219); hpd.push_back(0.02927100294045); hpd.push_back(-0.02965858822312); hpd.push_back(-0.02521794435506); hpd.push_back(0.00795200356952); hpd.push_back(0.01829725025850); hpd.push_back(-0.00037212345706); hpd.push_back(-0.01284118837655); hpd.push_back(0.00051919282891); hpd.push_back(0.00645416706920); hpd.push_back(-0.00046642571155); hpd.push_back(-0.00258964866287); hpd.push_back(0.00023156681831); hpd.push_back(0.00086145325795); hpd.push_back(-0.00008209438737); hpd.push_back(-0.00023724381672); hpd.push_back(0.00002120203482); hpd.push_back(0.00005384705071); hpd.push_back(-0.00000402586608); hpd.push_back(-0.00000989667666); hpd.push_back(0.00000055432777); hpd.push_back(0.00000142300535); hpd.push_back(-0.00000005465704); hpd.push_back(-0.00000014986093); hpd.push_back(0.00000000380480); hpd.push_back(0.00000001014810); hpd.push_back(-0.00000000014934); hpd.push_back(-0.00000000032641); flength = 60; break; case Coiflet_1: lpd.push_back(-0.01565572813546); lpd.push_back(-0.07273261951285); lpd.push_back(0.38486484686420); lpd.push_back(0.85257202021226); lpd.push_back(0.33789766245781); lpd.push_back(-0.07273261951285); hpd.push_back(0.07273261951285); hpd.push_back(0.33789766245781); hpd.push_back(-0.85257202021226); hpd.push_back(0.38486484686420); hpd.push_back(0.07273261951285); hpd.push_back(-0.01565572813546); flength = 6; break; case Coiflet_2: lpd.push_back(-0.00072054944536); lpd.push_back(-0.00182320887070); lpd.push_back(0.00561143481939); lpd.push_back(0.02368017194633); lpd.push_back(-0.05943441864646); lpd.push_back(-0.07648859907831); lpd.push_back(0.41700518442169); lpd.push_back(0.81272363544554); lpd.push_back(0.38611006682116); lpd.push_back(-0.06737255472196); lpd.push_back(-0.04146493678176); lpd.push_back(0.01638733646352); hpd.push_back(-0.01638733646352); hpd.push_back(-0.04146493678176); hpd.push_back(0.06737255472196); hpd.push_back(0.38611006682116); hpd.push_back(-0.81272363544554); hpd.push_back(0.41700518442169); hpd.push_back(0.07648859907831); hpd.push_back(-0.05943441864646); hpd.push_back(-0.02368017194633); hpd.push_back(0.00561143481939); hpd.push_back(0.00182320887070); hpd.push_back(-0.00072054944536); flength = 12; break; case Coiflet_3: lpd.push_back(-0.00003459977284); lpd.push_back(-0.00007098330314); lpd.push_back(0.00046621696011); lpd.push_back(0.00111751877089); lpd.push_back(-0.00257451768875); lpd.push_back(-0.00900797613666); lpd.push_back(0.01588054486362); lpd.push_back(0.03455502757306); lpd.push_back(-0.08230192710689); lpd.push_back(-0.07179982161931); lpd.push_back(0.42848347637762); lpd.push_back(0.79377722262562); lpd.push_back(0.40517690240962); lpd.push_back(-0.06112339000267); lpd.push_back(-0.06577191128186); lpd.push_back(0.02345269614184); lpd.push_back(0.00778259642733); lpd.push_back(-0.00379351286449); hpd.push_back(0.00379351286449); hpd.push_back(0.00778259642733); hpd.push_back(-0.02345269614184); hpd.push_back(-0.06577191128186); hpd.push_back(0.06112339000267); hpd.push_back(0.40517690240962); hpd.push_back(-0.79377722262562); hpd.push_back(0.42848347637762); hpd.push_back(0.07179982161931); hpd.push_back(-0.08230192710689); hpd.push_back(-0.03455502757306); hpd.push_back(0.01588054486362); hpd.push_back(0.00900797613666); hpd.push_back(-0.00257451768875); hpd.push_back(-0.00111751877089); hpd.push_back(0.00046621696011); hpd.push_back(0.00007098330314); hpd.push_back(-0.00003459977284); flength = 18; break; case Coiflet_4: lpd.push_back(-0.00000178498500); lpd.push_back(-0.00000325968024); lpd.push_back(0.00003122987587); lpd.push_back(0.00006233903446); lpd.push_back(-0.00025997455249); lpd.push_back(-0.00058902075624); lpd.push_back(0.00126656192930); lpd.push_back(0.00375143615728); lpd.push_back(-0.00565828668661); lpd.push_back(-0.01521173152795); lpd.push_back(0.02508226184486); lpd.push_back(0.03933442712334); lpd.push_back(-0.09622044203399); lpd.push_back(-0.06662747426343); lpd.push_back(0.43438605649147); lpd.push_back(0.78223893092050); lpd.push_back(0.41530840703043); lpd.push_back(-0.05607731331675); lpd.push_back(-0.08126669968088); lpd.push_back(0.02668230015605); lpd.push_back(0.01606894396478); lpd.push_back(-0.00734616632764); lpd.push_back(-0.00162949201260); lpd.push_back(0.00089231366858); hpd.push_back(-0.00089231366858); hpd.push_back(-0.00162949201260); hpd.push_back(0.00734616632764); hpd.push_back(0.01606894396478); hpd.push_back(-0.02668230015605); hpd.push_back(-0.08126669968088); hpd.push_back(0.05607731331675); hpd.push_back(0.41530840703043); hpd.push_back(-0.78223893092050); hpd.push_back(0.43438605649147); hpd.push_back(0.06662747426343); hpd.push_back(-0.09622044203399); hpd.push_back(-0.03933442712334); hpd.push_back(0.02508226184486); hpd.push_back(0.01521173152795); hpd.push_back(-0.00565828668661); hpd.push_back(-0.00375143615728); hpd.push_back(0.00126656192930); hpd.push_back(0.00058902075624); hpd.push_back(-0.00025997455249); hpd.push_back(-0.00006233903446); hpd.push_back(0.00003122987587); hpd.push_back(0.00000325968024); hpd.push_back(-0.00000178498500); flength = 24; break; case Coiflet_5: lpd.push_back(-0.00000009517657); lpd.push_back(-0.00000016744289); lpd.push_back(0.00000206376185); lpd.push_back(0.00000373465518); lpd.push_back(-0.00002131502681); lpd.push_back(-0.00004134043227); lpd.push_back(0.00014054114970); lpd.push_back(0.00030225958181); lpd.push_back(-0.00063813134305); lpd.push_back(-0.00166286370201); lpd.push_back(0.00243337321266); lpd.push_back(0.00676418544805); lpd.push_back(-0.00916423116248); lpd.push_back(-0.01976177894257); lpd.push_back(0.03268357426711); lpd.push_back(0.04128920875018); lpd.push_back(-0.10557420870334); lpd.push_back(-0.06203596396290); lpd.push_back(0.43799162617184); lpd.push_back(0.77428960365296); lpd.push_back(0.42156620669085); lpd.push_back(-0.05204316317624); lpd.push_back(-0.09192001055970); lpd.push_back(0.02816802897094); lpd.push_back(0.02340815678584); lpd.push_back(-0.01013111751985); lpd.push_back(-0.00415935878139); lpd.push_back(0.00217823635811); lpd.push_back(0.00035858968790); lpd.push_back(-0.00021208083980); hpd.push_back(0.00021208083980); hpd.push_back(0.00035858968790); hpd.push_back(-0.00217823635811); hpd.push_back(-0.00415935878139); hpd.push_back(0.01013111751985); hpd.push_back(0.02340815678584); hpd.push_back(-0.02816802897094); hpd.push_back(-0.09192001055970); hpd.push_back(0.05204316317624); hpd.push_back(0.42156620669085); hpd.push_back(-0.77428960365296); hpd.push_back(0.43799162617184); hpd.push_back(0.06203596396290); hpd.push_back(-0.10557420870334); hpd.push_back(-0.04128920875018); hpd.push_back(0.03268357426711); hpd.push_back(0.01976177894257); hpd.push_back(-0.00916423116248); hpd.push_back(-0.00676418544805); hpd.push_back(0.00243337321266); hpd.push_back(0.00166286370201); hpd.push_back(-0.00063813134305); hpd.push_back(-0.00030225958181); hpd.push_back(0.00014054114970); hpd.push_back(0.00004134043227); hpd.push_back(-0.00002131502681); hpd.push_back(-0.00000373465518); hpd.push_back(0.00000206376185); hpd.push_back(0.00000016744289); hpd.push_back(-0.00000009517657); flength = 30; break; case Biorthogonal_1_3: lpd.push_back(-0.08838834764832); lpd.push_back(0.08838834764832); lpd.push_back(0.70710678118655); lpd.push_back(0.70710678118655); lpd.push_back(0.08838834764832); lpd.push_back(-0.08838834764832); hpd.push_back(-0.00000000000000); hpd.push_back(0.00000000000000); hpd.push_back(-0.70710678118655); hpd.push_back(0.70710678118655); hpd.push_back(-0.00000000000000); hpd.push_back(0.00000000000000); flength = 6; break; case Biorthogonal_1_5: lpd.push_back(0.01657281518406); lpd.push_back(-0.01657281518406); lpd.push_back(-0.12153397801644); lpd.push_back(0.12153397801644); lpd.push_back(0.70710678118655); lpd.push_back(0.70710678118655); lpd.push_back(0.12153397801644); lpd.push_back(-0.12153397801644); lpd.push_back(-0.01657281518406); lpd.push_back(0.01657281518406); hpd.push_back(-0.00000000000000); hpd.push_back(0.00000000000000); hpd.push_back(-0.00000000000000); hpd.push_back(0.00000000000000); hpd.push_back(-0.70710678118655); hpd.push_back(0.70710678118655); hpd.push_back(-0.00000000000000); hpd.push_back(0.00000000000000); hpd.push_back(-0.00000000000000); hpd.push_back(0.00000000000000); flength = 10; break; case Biorthogonal_2_2: lpd.push_back(0.00000000000000); lpd.push_back(-0.17677669529664); lpd.push_back(0.35355339059327); lpd.push_back(1.06066017177982); lpd.push_back(0.35355339059327); lpd.push_back(-0.17677669529664); hpd.push_back(-0.00000000000000); hpd.push_back(0.35355339059327); hpd.push_back(-0.70710678118655); hpd.push_back(0.35355339059327); hpd.push_back(-0.00000000000000); hpd.push_back(0.00000000000000); flength = 6; break; case Biorthogonal_2_4: lpd.push_back(0.00000000000000); lpd.push_back(0.03314563036812); lpd.push_back(-0.06629126073624); lpd.push_back(-0.17677669529664); lpd.push_back(0.41984465132951); lpd.push_back(0.99436891104358); lpd.push_back(0.41984465132951); lpd.push_back(-0.17677669529664); lpd.push_back(-0.06629126073624); lpd.push_back(0.03314563036812); hpd.push_back(-0.00000000000000); hpd.push_back(0.00000000000000); hpd.push_back(-0.00000000000000); hpd.push_back(0.35355339059327); hpd.push_back(-0.70710678118655); hpd.push_back(0.35355339059327); hpd.push_back(-0.00000000000000); hpd.push_back(0.00000000000000); hpd.push_back(-0.00000000000000); hpd.push_back(0.00000000000000); flength = 10; break; case Biorthogonal_2_6: lpd.push_back(0.00000000000000); lpd.push_back(-0.00690533966002); lpd.push_back(0.01381067932005); lpd.push_back(0.04695630968817); lpd.push_back(-0.10772329869639); lpd.push_back(-0.16987135563661); lpd.push_back(0.44746600996961); lpd.push_back(0.96674755240348); lpd.push_back(0.44746600996961); lpd.push_back(-0.16987135563661); lpd.push_back(-0.10772329869639); lpd.push_back(0.04695630968817); lpd.push_back(0.01381067932005); lpd.push_back(-0.00690533966002); hpd.push_back(-0.00000000000000); hpd.push_back(0.00000000000000); hpd.push_back(-0.00000000000000); hpd.push_back(0.00000000000000); hpd.push_back(-0.00000000000000); hpd.push_back(0.35355339059327); hpd.push_back(-0.70710678118655); hpd.push_back(0.35355339059327); hpd.push_back(-0.00000000000000); hpd.push_back(0.00000000000000); hpd.push_back(-0.00000000000000); hpd.push_back(0.00000000000000); hpd.push_back(-0.00000000000000); hpd.push_back(0.00000000000000); flength = 14; break; case Biorthogonal_2_8: lpd.push_back(0.00000000000000); lpd.push_back(0.00151054305063); lpd.push_back(-0.00302108610126); lpd.push_back(-0.01294751186255); lpd.push_back(0.02891610982635); lpd.push_back(0.05299848189069); lpd.push_back(-0.13491307360774); lpd.push_back(-0.16382918343409); lpd.push_back(0.46257144047592); lpd.push_back(0.95164212189718); lpd.push_back(0.46257144047592); lpd.push_back(-0.16382918343409); lpd.push_back(-0.13491307360774); lpd.push_back(0.05299848189069); lpd.push_back(0.02891610982635); lpd.push_back(-0.01294751186255); lpd.push_back(-0.00302108610126); lpd.push_back(0.00151054305063); hpd.push_back(-0.00000000000000); hpd.push_back(0.00000000000000); hpd.push_back(-0.00000000000000); hpd.push_back(0.00000000000000); hpd.push_back(-0.00000000000000); hpd.push_back(0.00000000000000); hpd.push_back(-0.00000000000000); hpd.push_back(0.35355339059327); hpd.push_back(-0.70710678118655); hpd.push_back(0.35355339059327); hpd.push_back(-0.00000000000000); hpd.push_back(0.00000000000000); hpd.push_back(-0.00000000000000); hpd.push_back(0.00000000000000); hpd.push_back(-0.00000000000000); hpd.push_back(0.00000000000000); hpd.push_back(-0.00000000000000); hpd.push_back(0.00000000000000); flength = 18; break; case Biorthogonal_3_1: lpd.push_back(-0.35355339059327); lpd.push_back(1.06066017177982); lpd.push_back(1.06066017177982); lpd.push_back(-0.35355339059327); hpd.push_back(-0.17677669529664); hpd.push_back(0.53033008588991); hpd.push_back(-0.53033008588991); hpd.push_back(0.17677669529664); flength = 4; break; case Biorthogonal_3_3: lpd.push_back(0.06629126073624); lpd.push_back(-0.19887378220872); lpd.push_back(-0.15467960838456); lpd.push_back(0.99436891104358); lpd.push_back(0.99436891104358); lpd.push_back(-0.15467960838456); lpd.push_back(-0.19887378220872); lpd.push_back(0.06629126073624); hpd.push_back(-0.00000000000000); hpd.push_back(0.00000000000000); hpd.push_back(-0.17677669529664); hpd.push_back(0.53033008588991); hpd.push_back(-0.53033008588991); hpd.push_back(0.17677669529664); hpd.push_back(-0.00000000000000); hpd.push_back(0.00000000000000); flength = 8; break; case Biorthogonal_3_5: lpd.push_back(-0.01381067932005); lpd.push_back(0.04143203796015); lpd.push_back(0.05248058141619); lpd.push_back(-0.26792717880897); lpd.push_back(-0.07181553246426); lpd.push_back(0.96674755240348); lpd.push_back(0.96674755240348); lpd.push_back(-0.07181553246426); lpd.push_back(-0.26792717880897); lpd.push_back(0.05248058141619); lpd.push_back(0.04143203796015); lpd.push_back(-0.01381067932005); hpd.push_back(-0.00000000000000); hpd.push_back(0.00000000000000); hpd.push_back(-0.00000000000000); hpd.push_back(0.00000000000000); hpd.push_back(-0.17677669529664); hpd.push_back(0.53033008588991); hpd.push_back(-0.53033008588991); hpd.push_back(0.17677669529664); hpd.push_back(-0.00000000000000); hpd.push_back(0.00000000000000); hpd.push_back(-0.00000000000000); hpd.push_back(0.00000000000000); flength = 12; break; case Biorthogonal_3_7: lpd.push_back(0.00302108610126); lpd.push_back(-0.00906325830378); lpd.push_back(-0.01683176542131); lpd.push_back(0.07466398507402); lpd.push_back(0.03133297870736); lpd.push_back(-0.30115912592284); lpd.push_back(-0.02649924094535); lpd.push_back(0.95164212189718); lpd.push_back(0.95164212189718); lpd.push_back(-0.02649924094535); lpd.push_back(-0.30115912592284); lpd.push_back(0.03133297870736); lpd.push_back(0.07466398507402); lpd.push_back(-0.01683176542131); lpd.push_back(-0.00906325830378); lpd.push_back(0.00302108610126); hpd.push_back(-0.00000000000000); hpd.push_back(0.00000000000000); hpd.push_back(-0.00000000000000); hpd.push_back(0.00000000000000); hpd.push_back(-0.00000000000000); hpd.push_back(0.00000000000000); hpd.push_back(-0.17677669529664); hpd.push_back(0.53033008588991); hpd.push_back(-0.53033008588991); hpd.push_back(0.17677669529664); hpd.push_back(-0.00000000000000); hpd.push_back(0.00000000000000); hpd.push_back(-0.00000000000000); hpd.push_back(0.00000000000000); hpd.push_back(-0.00000000000000); hpd.push_back(0.00000000000000); flength = 16; break; case Biorthogonal_3_9: lpd.push_back(-0.00067974437278); lpd.push_back(0.00203923311835); lpd.push_back(0.00506031921961); lpd.push_back(-0.02061891264111); lpd.push_back(-0.01411278793018); lpd.push_back(0.09913478249423); lpd.push_back(0.01230013626942); lpd.push_back(-0.32019196836078); lpd.push_back(0.00205002271157); lpd.push_back(0.94212570067821); lpd.push_back(0.94212570067821); lpd.push_back(0.00205002271157); lpd.push_back(-0.32019196836078); lpd.push_back(0.01230013626942); lpd.push_back(0.09913478249423); lpd.push_back(-0.01411278793018); lpd.push_back(-0.02061891264111); lpd.push_back(0.00506031921961); lpd.push_back(0.00203923311835); lpd.push_back(-0.00067974437278); hpd.push_back(-0.00000000000000); hpd.push_back(0.00000000000000); hpd.push_back(-0.00000000000000); hpd.push_back(0.00000000000000); hpd.push_back(-0.00000000000000); hpd.push_back(0.00000000000000); hpd.push_back(-0.00000000000000); hpd.push_back(0.00000000000000); hpd.push_back(-0.17677669529664); hpd.push_back(0.53033008588991); hpd.push_back(-0.53033008588991); hpd.push_back(0.17677669529664); hpd.push_back(-0.00000000000000); hpd.push_back(0.00000000000000); hpd.push_back(-0.00000000000000); hpd.push_back(0.00000000000000); hpd.push_back(-0.00000000000000); hpd.push_back(0.00000000000000); hpd.push_back(-0.00000000000000); hpd.push_back(0.00000000000000); flength = 20; break; case Biorthogonal_4_4: lpd.push_back(0.00000000000000); lpd.push_back(0.03782845550726); lpd.push_back(-0.02384946501956); lpd.push_back(-0.11062440441844); lpd.push_back(0.37740285561283); lpd.push_back(0.85269867900889); lpd.push_back(0.37740285561283); lpd.push_back(-0.11062440441844); lpd.push_back(-0.02384946501956); lpd.push_back(0.03782845550726); hpd.push_back(-0.00000000000000); hpd.push_back(-0.06453888262870); hpd.push_back(0.04068941760916); hpd.push_back(0.41809227322162); hpd.push_back(-0.78848561640558); hpd.push_back(0.41809227322162); hpd.push_back(0.04068941760916); hpd.push_back(-0.06453888262870); hpd.push_back(-0.00000000000000); hpd.push_back(0.00000000000000); flength = 10; break; case Biorthogonal_5_5: lpd.push_back(0.00000000000000); lpd.push_back(0.00000000000000); lpd.push_back(0.03968708834741); lpd.push_back(0.00794810863724); lpd.push_back(-0.05446378846824); lpd.push_back(0.34560528195603); lpd.push_back(0.73666018142821); lpd.push_back(0.34560528195603); lpd.push_back(-0.05446378846824); lpd.push_back(0.00794810863724); lpd.push_back(0.03968708834741); lpd.push_back(0.00000000000000); hpd.push_back(-0.01345670945912); hpd.push_back(-0.00269496688011); hpd.push_back(0.13670658466433); hpd.push_back(-0.09350469740094); hpd.push_back(-0.47680326579848); hpd.push_back(0.89950610974865); hpd.push_back(-0.47680326579848); hpd.push_back(-0.09350469740094); hpd.push_back(0.13670658466433); hpd.push_back(-0.00269496688011); hpd.push_back(-0.01345670945912); hpd.push_back(0.00000000000000); flength = 12; break; case Biorthogonal_6_8: lpd.push_back(0.00000000000000); lpd.push_back(0.00190883173648); lpd.push_back(-0.00191428612909); lpd.push_back(-0.01699063986760); lpd.push_back(0.01193456527973); lpd.push_back(0.04973290349094); lpd.push_back(-0.07726317316720); lpd.push_back(-0.09405920349574); lpd.push_back(0.42079628460983); lpd.push_back(0.82592299745840); lpd.push_back(0.42079628460983); lpd.push_back(-0.09405920349574); lpd.push_back(-0.07726317316720); lpd.push_back(0.04973290349094); lpd.push_back(0.01193456527973); lpd.push_back(-0.01699063986760); lpd.push_back(-0.00191428612909); lpd.push_back(0.00190883173648); hpd.push_back(0.00000000000000); hpd.push_back(-0.00000000000000); hpd.push_back(0.00000000000000); hpd.push_back(0.01442628250562); hpd.push_back(-0.01446750489679); hpd.push_back(-0.07872200106263); hpd.push_back(0.04036797903034); hpd.push_back(0.41784910915027); hpd.push_back(-0.75890772945365); hpd.push_back(0.41784910915027); hpd.push_back(0.04036797903034); hpd.push_back(-0.07872200106263); hpd.push_back(-0.01446750489679); hpd.push_back(0.01442628250562); hpd.push_back(0.00000000000000); hpd.push_back(-0.00000000000000); hpd.push_back(0.00000000000000); hpd.push_back(-0.00000000000000); flength = 18; break; case Meyer: lpd.push_back(0.00000000000000); lpd.push_back(-0.00000150974086); lpd.push_back(0.00000127876676); lpd.push_back(0.00000044958556); lpd.push_back(-0.00000209656887); lpd.push_back(0.00000172322355); lpd.push_back(0.00000069808228); lpd.push_back(-0.00000287940803); lpd.push_back(0.00000238314839); lpd.push_back(0.00000098251560); lpd.push_back(-0.00000421778919); lpd.push_back(0.00000335350154); lpd.push_back(0.00000167472186); lpd.push_back(-0.00000603450134); lpd.push_back(0.00000483755580); lpd.push_back(0.00000240228802); lpd.push_back(-0.00000955630985); lpd.push_back(0.00000721652769); lpd.push_back(0.00000484907830); lpd.push_back(-0.00001420692858); lpd.push_back(0.00001050391427); lpd.push_back(0.00000618758030); lpd.push_back(-0.00002443800585); lpd.push_back(0.00002010638769); lpd.push_back(0.00001499352360); lpd.push_back(-0.00004642876428); lpd.push_back(0.00003234131191); lpd.push_back(0.00003740966576); lpd.push_back(-0.00010277900508); lpd.push_back(0.00002446195684); lpd.push_back(0.00014971351539); lpd.push_back(-0.00007559287026); lpd.push_back(-0.00013991314822); lpd.push_back(-0.00009351289388); lpd.push_back(0.00016118981973); lpd.push_back(0.00085950021376); lpd.push_back(-0.00057818579527); lpd.push_back(-0.00270216873394); lpd.push_back(0.00219477533646); lpd.push_back(0.00604551059646); lpd.push_back(-0.00638672861855); lpd.push_back(-0.01104464190054); lpd.push_back(0.01525091315859); lpd.push_back(0.01740388821018); lpd.push_back(-0.03209406335451); lpd.push_back(-0.02432178395952); lpd.push_back(0.06366730088447); lpd.push_back(0.03062124394342); lpd.push_back(-0.13269661535886); lpd.push_back(-0.03504828739060); lpd.push_back(0.44409503076653); lpd.push_back(0.74375100490379); lpd.push_back(0.44409503076653); lpd.push_back(-0.03504828739060); lpd.push_back(-0.13269661535886); lpd.push_back(0.03062124394342); lpd.push_back(0.06366730088447); lpd.push_back(-0.02432178395952); lpd.push_back(-0.03209406335451); lpd.push_back(0.01740388821018); lpd.push_back(0.01525091315859); lpd.push_back(-0.01104464190054); lpd.push_back(-0.00638672861855); lpd.push_back(0.00604551059646); lpd.push_back(0.00219477533646); lpd.push_back(-0.00270216873394); lpd.push_back(-0.00057818579527); lpd.push_back(0.00085950021376); lpd.push_back(0.00016118981973); lpd.push_back(-0.00009351289388); lpd.push_back(-0.00013991314822); lpd.push_back(-0.00007559287026); lpd.push_back(0.00014971351539); lpd.push_back(0.00002446195684); lpd.push_back(-0.00010277900508); lpd.push_back(0.00003740966576); lpd.push_back(0.00003234131191); lpd.push_back(-0.00004642876428); lpd.push_back(0.00001499352360); lpd.push_back(0.00002010638769); lpd.push_back(-0.00002443800585); lpd.push_back(0.00000618758030); lpd.push_back(0.00001050391427); lpd.push_back(-0.00001420692858); lpd.push_back(0.00000484907830); lpd.push_back(0.00000721652769); lpd.push_back(-0.00000955630985); lpd.push_back(0.00000240228802); lpd.push_back(0.00000483755580); lpd.push_back(-0.00000603450134); lpd.push_back(0.00000167472186); lpd.push_back(0.00000335350154); lpd.push_back(-0.00000421778919); lpd.push_back(0.00000098251560); lpd.push_back(0.00000238314839); lpd.push_back(-0.00000287940803); lpd.push_back(0.00000069808228); lpd.push_back(0.00000172322355); lpd.push_back(-0.00000209656887); lpd.push_back(0.00000044958556); lpd.push_back(0.00000127876676); lpd.push_back(-0.00000150974086); hpd.push_back(0.00000150974086); hpd.push_back(0.00000127876676); hpd.push_back(-0.00000044958556); hpd.push_back(-0.00000209656887); hpd.push_back(-0.00000172322355); hpd.push_back(0.00000069808228); hpd.push_back(0.00000287940803); hpd.push_back(0.00000238314839); hpd.push_back(-0.00000098251560); hpd.push_back(-0.00000421778919); hpd.push_back(-0.00000335350154); hpd.push_back(0.00000167472186); hpd.push_back(0.00000603450134); hpd.push_back(0.00000483755580); hpd.push_back(-0.00000240228802); hpd.push_back(-0.00000955630985); hpd.push_back(-0.00000721652769); hpd.push_back(0.00000484907830); hpd.push_back(0.00001420692858); hpd.push_back(0.00001050391427); hpd.push_back(-0.00000618758030); hpd.push_back(-0.00002443800585); hpd.push_back(-0.00002010638769); hpd.push_back(0.00001499352360); hpd.push_back(0.00004642876428); hpd.push_back(0.00003234131191); hpd.push_back(-0.00003740966576); hpd.push_back(-0.00010277900508); hpd.push_back(-0.00002446195684); hpd.push_back(0.00014971351539); hpd.push_back(0.00007559287026); hpd.push_back(-0.00013991314822); hpd.push_back(0.00009351289388); hpd.push_back(0.00016118981973); hpd.push_back(-0.00085950021376); hpd.push_back(-0.00057818579527); hpd.push_back(0.00270216873394); hpd.push_back(0.00219477533646); hpd.push_back(-0.00604551059646); hpd.push_back(-0.00638672861855); hpd.push_back(0.01104464190054); hpd.push_back(0.01525091315859); hpd.push_back(-0.01740388821018); hpd.push_back(-0.03209406335451); hpd.push_back(0.02432178395952); hpd.push_back(0.06366730088447); hpd.push_back(-0.03062124394342); hpd.push_back(-0.13269661535886); hpd.push_back(0.03504828739060); hpd.push_back(0.44409503076653); hpd.push_back(-0.74375100490379); hpd.push_back(0.44409503076653); hpd.push_back(0.03504828739060); hpd.push_back(-0.13269661535886); hpd.push_back(-0.03062124394342); hpd.push_back(0.06366730088447); hpd.push_back(0.02432178395952); hpd.push_back(-0.03209406335451); hpd.push_back(-0.01740388821018); hpd.push_back(0.01525091315859); hpd.push_back(0.01104464190054); hpd.push_back(-0.00638672861855); hpd.push_back(-0.00604551059646); hpd.push_back(0.00219477533646); hpd.push_back(0.00270216873394); hpd.push_back(-0.00057818579527); hpd.push_back(-0.00085950021376); hpd.push_back(0.00016118981973); hpd.push_back(0.00009351289388); hpd.push_back(-0.00013991314822); hpd.push_back(0.00007559287026); hpd.push_back(0.00014971351539); hpd.push_back(-0.00002446195684); hpd.push_back(-0.00010277900508); hpd.push_back(-0.00003740966576); hpd.push_back(0.00003234131191); hpd.push_back(0.00004642876428); hpd.push_back(0.00001499352360); hpd.push_back(-0.00002010638769); hpd.push_back(-0.00002443800585); hpd.push_back(-0.00000618758030); hpd.push_back(0.00001050391427); hpd.push_back(0.00001420692858); hpd.push_back(0.00000484907830); hpd.push_back(-0.00000721652769); hpd.push_back(-0.00000955630985); hpd.push_back(-0.00000240228802); hpd.push_back(0.00000483755580); hpd.push_back(0.00000603450134); hpd.push_back(0.00000167472186); hpd.push_back(-0.00000335350154); hpd.push_back(-0.00000421778919); hpd.push_back(-0.00000098251560); hpd.push_back(0.00000238314839); hpd.push_back(0.00000287940803); hpd.push_back(0.00000069808228); hpd.push_back(-0.00000172322355); hpd.push_back(-0.00000209656887); hpd.push_back(-0.00000044958556); hpd.push_back(0.00000127876676); hpd.push_back(0.00000150974086); hpd.push_back(0.00000000000000); flength = 102; break; } // avoid compiler warning for unused value if assert is not compiled in: (void)flength; assert(flength == int(lpd.size())); assert(flength == int(hpd.size())); }