diff options
Diffstat (limited to 'libs/qm-dsp/dsp/wavelet/Wavelet.cpp')
| -rw-r--r-- | libs/qm-dsp/dsp/wavelet/Wavelet.cpp | 1849 |
1 files changed, 1849 insertions, 0 deletions
diff --git a/libs/qm-dsp/dsp/wavelet/Wavelet.cpp b/libs/qm-dsp/dsp/wavelet/Wavelet.cpp new file mode 100644 index 0000000000..764c84b24a --- /dev/null +++ b/libs/qm-dsp/dsp/wavelet/Wavelet.cpp @@ -0,0 +1,1849 @@ +/* -*- 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<float> &lpd, + std::vector<float> &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; + } + + assert(flength == lpd.size()); + assert(flength == hpd.size()); +} + |