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livetrax/libs/qm-dsp/dsp/wavelet/Wavelet.cpp

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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.
*/
#ifdef COMPILER_MSVC
#pragma warning(disable:4305)
#endif
#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();
unsigned 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());
}