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first skeleton for DWT
This commit is contained in:
parent
47d0b3f040
commit
65a656f257
@ -48,6 +48,8 @@ libLatAnalyze_la_SOURCES = \
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Io/XmlReader.cpp \
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Io/Xml/tinyxml2.cpp \
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Numerical/Derivative.cpp \
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Numerical/DWT.cpp \
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Numerical/DWTFilters.cpp \
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Numerical/GslFFT.cpp \
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Numerical/GslHybridRootFinder.cpp\
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Numerical/GslMinimizer.cpp \
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@ -92,6 +94,8 @@ HPPFILES = \
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Io/IoObject.hpp \
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Io/XmlReader.hpp \
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Numerical/Derivative.hpp \
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Numerical/DWT.hpp \
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Numerical/DWTFilters.hpp \
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Numerical/FFT.hpp \
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Numerical/GslFFT.hpp \
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Numerical/GslHybridRootFinder.hpp\
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57
lib/Numerical/DWT.cpp
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57
lib/Numerical/DWT.cpp
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@ -0,0 +1,57 @@
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/*
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* DWT.cpp, part of LatAnalyze
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*
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* Copyright (C) 2013 - 2020 Antonin Portelli
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*
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* LatAnalyze is free software: you can redistribute it and/or modify
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* it under the terms of the GNU General Public License as published by
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* the Free Software Foundation, either version 3 of the License, or
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* (at your option) any later version.
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*
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* LatAnalyze is distributed in the hope that it will be useful,
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* but WITHOUT ANY WARRANTY; without even the implied warranty of
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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* GNU General Public License for more details.
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*
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* You should have received a copy of the GNU General Public License
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* along with LatAnalyze. If not, see <http://www.gnu.org/licenses/>.
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*/
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#include <LatAnalyze/Numerical/DWT.hpp>
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#include <LatAnalyze/includes.hpp>
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using namespace std;
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using namespace Latan;
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/******************************************************************************
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* DWT implementation *
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******************************************************************************/
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// constructor /////////////////////////////////////////////////////////////////
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DWT::DWT(const DWTFilter &filter)
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: filter_(filter)
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{}
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// convolution primitive ///////////////////////////////////////////////////////
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DVec DWT::filterConvolution(const DVec &data, const DWTFilter &filter,
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const Index offset)
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{
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DVec res(data.size());
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return res;
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}
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// DWT /////////////////////////////////////////////////////////////////////////
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std::vector<DWT::DWTLevel>
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DWT::forward(const DVec &data, const unsigned int level) const
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{
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std::vector<DWT::DWTLevel> dwt(level);
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return dwt;
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}
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DVec DWT::backward(const std::vector<DWTLevel>& dwt) const
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{
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DVec res;
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return res;
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}
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52
lib/Numerical/DWT.hpp
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52
lib/Numerical/DWT.hpp
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@ -0,0 +1,52 @@
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/*
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* DWT.hpp, part of LatAnalyze
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*
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* Copyright (C) 2013 - 2020 Antonin Portelli
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*
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* LatAnalyze is free software: you can redistribute it and/or modify
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* it under the terms of the GNU General Public License as published by
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* the Free Software Foundation, either version 3 of the License, or
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* (at your option) any later version.
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*
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* LatAnalyze is distributed in the hope that it will be useful,
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* but WITHOUT ANY WARRANTY; without even the implied warranty of
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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* GNU General Public License for more details.
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*
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* You should have received a copy of the GNU General Public License
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* along with LatAnalyze. If not, see <http://www.gnu.org/licenses/>.
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*/
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#ifndef Latan_DWT_hpp_
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#define Latan_DWT_hpp_
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#include <LatAnalyze/Global.hpp>
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#include <LatAnalyze/Numerical/DWTFilters.hpp>
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BEGIN_LATAN_NAMESPACE
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/******************************************************************************
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* Discrete wavelet transform class *
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******************************************************************************/
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class DWT
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{
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public:
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typedef std::pair<DVec, DVec> DWTLevel;
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public:
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// constructor
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DWT(const DWTFilter &filter);
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// destructor
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virtual ~DWT(void) = default;
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// convolution primitive
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static DVec filterConvolution(const DVec &data, const DWTFilter &filter,
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const Index offset);
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// DWT
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std::vector<DWTLevel> forward(const DVec &data, const unsigned int level) const;
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DVec backward(const std::vector<DWTLevel>& dwt) const;
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private:
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DWTFilter filter_;
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};
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END_LATAN_NAMESPACE
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#endif // Latan_DWT_hpp_
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528
lib/Numerical/DWTFilters.cpp
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528
lib/Numerical/DWTFilters.cpp
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@ -0,0 +1,528 @@
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/*
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* DWTFilters.cpp, part of LatAnalyze
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*
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* Copyright (C) 2013 - 2020 Antonin Portelli
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*
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* LatAnalyze is free software: you can redistribute it and/or modify
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* it under the terms of the GNU General Public License as published by
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* the Free Software Foundation, either version 3 of the License, or
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* (at your option) any later version.
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*
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* LatAnalyze is distributed in the hope that it will be useful,
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* but WITHOUT ANY WARRANTY; without even the implied warranty of
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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* GNU General Public License for more details.
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*
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* You should have received a copy of the GNU General Public License
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* along with LatAnalyze. If not, see <http://www.gnu.org/licenses/>.
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*/
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#include <LatAnalyze/Numerical/DWTFilters.hpp>
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#include <LatAnalyze/includes.hpp>
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// cf. http://wavelets.pybytes.com
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// *here we implement the reverse filters more convenient for convolutions*
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using namespace std;
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using namespace Latan;
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#define FILTDICT(x) {#x, &DWTFilters::x}
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std::map<std::string, const DWTFilter *> DWTFilters::fromName = {
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FILTDICT(haar),
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FILTDICT(db2),
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FILTDICT(db3),
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FILTDICT(db4),
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FILTDICT(db5),
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FILTDICT(db6),
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FILTDICT(bior13),
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FILTDICT(bior15),
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FILTDICT(bior22),
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FILTDICT(bior24),
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FILTDICT(bior31),
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FILTDICT(bior33),
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FILTDICT(bior35)
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};
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DWTFilter DWTFilters::haar = {
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// fwdL
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{0.7071067811865476,
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0.7071067811865476},
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// fwdH
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{0.7071067811865476,
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-0.7071067811865476},
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// bwdL
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{0.7071067811865476,
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0.7071067811865476},
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// bwdH
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{-0.7071067811865476,
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0.7071067811865476}
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};
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DWTFilter DWTFilters::db2 = {
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// fwdL
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{0.48296291314469025,
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0.836516303737469,
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0.22414386804185735,
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-0.12940952255092145},
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// fwdH
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{-0.12940952255092145,
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-0.22414386804185735,
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0.836516303737469,
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-0.48296291314469025},
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// bwdL
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{-0.12940952255092145,
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0.22414386804185735,
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0.836516303737469,
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0.48296291314469025},
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// bwdH
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{-0.48296291314469025,
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0.836516303737469,
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-0.22414386804185735,
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-0.12940952255092145}
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};
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DWTFilter DWTFilters::db3 = {
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// fwdL
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{0.3326705529509569,
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0.8068915093133388,
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0.4598775021193313,
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-0.13501102001039084,
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-0.08544127388224149,
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0.035226291882100656},
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// fwdH
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{0.035226291882100656,
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0.08544127388224149,
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-0.13501102001039084,
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-0.4598775021193313,
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0.8068915093133388,
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-0.3326705529509569},
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// bwdL
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{0.035226291882100656,
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-0.08544127388224149,
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-0.13501102001039084,
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0.4598775021193313,
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0.8068915093133388,
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0.3326705529509569},
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// bwdH
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{-0.3326705529509569,
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0.8068915093133388,
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-0.4598775021193313,
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-0.13501102001039084,
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0.08544127388224149,
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0.035226291882100656}
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};
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DWTFilter DWTFilters::db4 = {
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// fwdL
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{0.23037781330885523,
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0.7148465705525415,
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0.6308807679295904,
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-0.02798376941698385,
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-0.18703481171888114,
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0.030841381835986965,
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0.032883011666982945,
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-0.010597401784997278},
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// fwdH
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{-0.010597401784997278,
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-0.032883011666982945,
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0.030841381835986965,
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0.18703481171888114,
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-0.02798376941698385,
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-0.6308807679295904,
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0.7148465705525415,
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-0.23037781330885523},
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// bwdL
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{-0.010597401784997278,
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0.032883011666982945,
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0.030841381835986965,
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-0.18703481171888114,
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-0.02798376941698385,
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0.6308807679295904,
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0.7148465705525415,
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0.23037781330885523},
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// bwdH
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{-0.23037781330885523,
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0.7148465705525415,
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-0.6308807679295904,
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-0.02798376941698385,
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0.18703481171888114,
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0.030841381835986965,
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-0.032883011666982945,
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-0.010597401784997278}
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};
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DWTFilter DWTFilters::db5 = {
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// fwdL
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{0.160102397974125,
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0.6038292697974729,
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0.7243085284385744,
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0.13842814590110342,
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-0.24229488706619015,
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-0.03224486958502952,
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0.07757149384006515,
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-0.006241490213011705,
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-0.012580751999015526,
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0.003335725285001549},
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// fwdH
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{0.003335725285001549,
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0.012580751999015526,
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-0.006241490213011705,
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-0.07757149384006515,
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-0.03224486958502952,
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0.24229488706619015,
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0.13842814590110342,
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-0.7243085284385744,
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0.6038292697974729,
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-0.160102397974125},
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// bwdL
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{0.003335725285001549,
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-0.012580751999015526,
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-0.006241490213011705,
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0.07757149384006515,
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-0.03224486958502952,
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-0.24229488706619015,
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0.13842814590110342,
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0.7243085284385744,
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0.6038292697974729,
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0.160102397974125},
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// bwdH
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{-0.160102397974125,
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0.6038292697974729,
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-0.7243085284385744,
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0.13842814590110342,
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0.24229488706619015,
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-0.03224486958502952,
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-0.07757149384006515,
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-0.006241490213011705,
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0.012580751999015526,
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0.003335725285001549}
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};
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DWTFilter DWTFilters::db6 = {
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// fwdL
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{0.11154074335008017,
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0.4946238903983854,
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0.7511339080215775,
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0.3152503517092432,
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-0.22626469396516913,
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-0.12976686756709563,
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0.09750160558707936,
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0.02752286553001629,
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-0.031582039318031156,
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0.0005538422009938016,
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0.004777257511010651,
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-0.00107730108499558},
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// fwdH
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{-0.00107730108499558,
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-0.004777257511010651,
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0.0005538422009938016,
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0.031582039318031156,
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0.02752286553001629,
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-0.09750160558707936,
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-0.12976686756709563,
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0.22626469396516913,
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0.3152503517092432,
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-0.7511339080215775,
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0.4946238903983854,
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-0.11154074335008017},
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// bwdL
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{-0.00107730108499558,
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0.004777257511010651,
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0.0005538422009938016,
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-0.031582039318031156,
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0.02752286553001629,
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0.09750160558707936,
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-0.12976686756709563,
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-0.22626469396516913,
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0.3152503517092432,
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0.7511339080215775,
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0.4946238903983854,
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0.11154074335008017},
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// bwdH
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{-0.11154074335008017,
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0.4946238903983854,
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-0.7511339080215775,
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0.3152503517092432,
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0.22626469396516913,
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-0.12976686756709563,
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-0.09750160558707936,
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0.02752286553001629,
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0.031582039318031156,
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0.0005538422009938016,
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-0.004777257511010651,
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-0.00107730108499558}
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};
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DWTFilter DWTFilters::bior13 = {
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// fwdL
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{-0.08838834764831845,
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0.08838834764831845,
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0.7071067811865476,
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0.7071067811865476,
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0.08838834764831845,
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-0.08838834764831845},
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// fwdH
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{0.0,
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0.0,
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0.7071067811865476,
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-0.7071067811865476,
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0.0,
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0.0},
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// bwdL
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{0.0,
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0.0,
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0.7071067811865476,
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0.7071067811865476,
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0.0,
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0.0},
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// bwdH
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{0.08838834764831845,
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0.08838834764831845,
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-0.7071067811865476,
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0.7071067811865476,
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-0.08838834764831845,
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-0.08838834764831845}
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};
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DWTFilter DWTFilters::bior15 = {
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// fwdL
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{0.01657281518405971,
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-0.01657281518405971,
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-0.12153397801643787,
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0.12153397801643787,
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0.7071067811865476,
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0.7071067811865476,
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0.12153397801643787,
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-0.12153397801643787,
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-0.01657281518405971,
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0.01657281518405971},
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// fwdH
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{0.0,
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0.0,
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0.0,
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0.0,
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0.7071067811865476,
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-0.7071067811865476,
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0.0,
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0.0,
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0.0,
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0.0},
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// bwdL
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{0.0,
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0.0,
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0.0,
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0.0,
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0.7071067811865476,
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0.7071067811865476,
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0.0,
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0.0,
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0.0,
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0.0},
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// bwdH
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{-0.01657281518405971,
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-0.01657281518405971,
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0.12153397801643787,
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0.12153397801643787,
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-0.7071067811865476,
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0.7071067811865476,
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-0.12153397801643787,
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-0.12153397801643787,
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0.01657281518405971,
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0.01657281518405971}
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};
|
||||
|
||||
DWTFilter DWTFilters::bior22 = {
|
||||
// fwdL
|
||||
{-0.1767766952966369,
|
||||
0.3535533905932738,
|
||||
1.0606601717798214,
|
||||
0.3535533905932738,
|
||||
-0.1767766952966369,
|
||||
0.0},
|
||||
// fwdH
|
||||
{0.0,
|
||||
0.0,
|
||||
0.3535533905932738,
|
||||
-0.7071067811865476,
|
||||
0.3535533905932738,
|
||||
0.0},
|
||||
// bwdL
|
||||
{0.0,
|
||||
0.0,
|
||||
0.3535533905932738,
|
||||
0.7071067811865476,
|
||||
0.3535533905932738,
|
||||
0.0},
|
||||
// bwdH
|
||||
{0.1767766952966369,
|
||||
0.3535533905932738,
|
||||
-1.0606601717798214,
|
||||
0.3535533905932738,
|
||||
0.1767766952966369,
|
||||
0.0}
|
||||
};
|
||||
|
||||
DWTFilter DWTFilters::bior24 = {
|
||||
// fwdL
|
||||
{0.03314563036811942,
|
||||
-0.06629126073623884,
|
||||
-0.1767766952966369,
|
||||
0.4198446513295126,
|
||||
0.9943689110435825,
|
||||
0.4198446513295126,
|
||||
-0.1767766952966369,
|
||||
-0.06629126073623884,
|
||||
0.03314563036811942,
|
||||
0.0},
|
||||
// fwdH
|
||||
{0.0,
|
||||
0.0,
|
||||
0.0,
|
||||
0.0,
|
||||
0.3535533905932738,
|
||||
-0.7071067811865476,
|
||||
0.3535533905932738,
|
||||
0.0,
|
||||
0.0,
|
||||
0.0},
|
||||
// bwdL
|
||||
{0.0,
|
||||
0.0,
|
||||
0.0,
|
||||
0.0,
|
||||
0.3535533905932738,
|
||||
0.7071067811865476,
|
||||
0.3535533905932738,
|
||||
0.0,
|
||||
0.0,
|
||||
0.0},
|
||||
// bwdH
|
||||
{-0.03314563036811942,
|
||||
-0.06629126073623884,
|
||||
0.1767766952966369,
|
||||
0.4198446513295126,
|
||||
-0.9943689110435825,
|
||||
0.4198446513295126,
|
||||
0.1767766952966369,
|
||||
-0.06629126073623884,
|
||||
-0.03314563036811942,
|
||||
0.0}
|
||||
};
|
||||
|
||||
DWTFilter DWTFilters::bior31 = {
|
||||
// fwdL
|
||||
{-0.3535533905932738,
|
||||
1.0606601717798214,
|
||||
1.0606601717798214,
|
||||
-0.3535533905932738},
|
||||
// fwdH
|
||||
{0.1767766952966369,
|
||||
-0.5303300858899107,
|
||||
0.5303300858899107,
|
||||
-0.1767766952966369},
|
||||
// bwdL
|
||||
{0.1767766952966369,
|
||||
0.5303300858899107,
|
||||
0.5303300858899107,
|
||||
0.1767766952966369},
|
||||
// bwdH
|
||||
{0.3535533905932738,
|
||||
1.0606601717798214,
|
||||
-1.0606601717798214,
|
||||
-0.3535533905932738}
|
||||
};
|
||||
|
||||
DWTFilter DWTFilters::bior33 = {
|
||||
// fwdL
|
||||
{0.06629126073623884,
|
||||
-0.19887378220871652,
|
||||
-0.15467960838455727,
|
||||
0.9943689110435825,
|
||||
0.9943689110435825,
|
||||
-0.15467960838455727,
|
||||
-0.19887378220871652,
|
||||
0.06629126073623884},
|
||||
// fwdH
|
||||
{0.0,
|
||||
0.0,
|
||||
0.1767766952966369,
|
||||
-0.5303300858899107,
|
||||
0.5303300858899107,
|
||||
-0.1767766952966369,
|
||||
0.0,
|
||||
0.0},
|
||||
// bwdL
|
||||
{0.0,
|
||||
0.0,
|
||||
0.1767766952966369,
|
||||
0.5303300858899107,
|
||||
0.5303300858899107,
|
||||
0.1767766952966369,
|
||||
0.0,
|
||||
0.0},
|
||||
// bwdH
|
||||
{-0.06629126073623884,
|
||||
-0.19887378220871652,
|
||||
0.15467960838455727,
|
||||
0.9943689110435825,
|
||||
-0.9943689110435825,
|
||||
-0.15467960838455727,
|
||||
0.19887378220871652,
|
||||
0.06629126073623884}
|
||||
};
|
||||
|
||||
DWTFilter DWTFilters::bior35 = {
|
||||
// fwdL
|
||||
{-0.013810679320049757,
|
||||
0.04143203796014927,
|
||||
0.052480581416189075,
|
||||
-0.26792717880896527,
|
||||
-0.07181553246425874,
|
||||
0.966747552403483,
|
||||
0.966747552403483,
|
||||
-0.07181553246425874,
|
||||
-0.26792717880896527,
|
||||
0.052480581416189075,
|
||||
0.04143203796014927,
|
||||
-0.013810679320049757},
|
||||
// fwdH
|
||||
{0.0,
|
||||
0.0,
|
||||
0.0,
|
||||
0.0,
|
||||
0.1767766952966369,
|
||||
-0.5303300858899107,
|
||||
0.5303300858899107,
|
||||
-0.1767766952966369,
|
||||
0.0,
|
||||
0.0,
|
||||
0.0,
|
||||
0.0},
|
||||
// bwdL
|
||||
{0.0,
|
||||
0.0,
|
||||
0.0,
|
||||
0.0,
|
||||
0.1767766952966369,
|
||||
0.5303300858899107,
|
||||
0.5303300858899107,
|
||||
0.1767766952966369,
|
||||
0.0,
|
||||
0.0,
|
||||
0.0,
|
||||
0.0},
|
||||
// bwdH
|
||||
{0.013810679320049757,
|
||||
0.04143203796014927,
|
||||
-0.052480581416189075,
|
||||
-0.26792717880896527,
|
||||
0.07181553246425874,
|
||||
0.966747552403483,
|
||||
-0.966747552403483,
|
||||
-0.07181553246425874,
|
||||
0.26792717880896527,
|
||||
0.052480581416189075,
|
||||
-0.04143203796014927,
|
||||
-0.013810679320049757}
|
||||
};
|
||||
53
lib/Numerical/DWTFilters.hpp
Normal file
53
lib/Numerical/DWTFilters.hpp
Normal file
@ -0,0 +1,53 @@
|
||||
/*
|
||||
* DWTFilters.hpp, part of LatAnalyze
|
||||
*
|
||||
* Copyright (C) 2013 - 2020 Antonin Portelli
|
||||
*
|
||||
* LatAnalyze 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 3 of the License, or
|
||||
* (at your option) any later version.
|
||||
*
|
||||
* LatAnalyze is distributed in the hope that it will be useful,
|
||||
* but WITHOUT ANY WARRANTY; without even the implied warranty of
|
||||
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
|
||||
* GNU General Public License for more details.
|
||||
*
|
||||
* You should have received a copy of the GNU General Public License
|
||||
* along with LatAnalyze. If not, see <http://www.gnu.org/licenses/>.
|
||||
*/
|
||||
|
||||
#ifndef Latan_DWTFilters_hpp_
|
||||
#define Latan_DWTFilters_hpp_
|
||||
|
||||
#include <LatAnalyze/Global.hpp>
|
||||
|
||||
BEGIN_LATAN_NAMESPACE
|
||||
|
||||
struct DWTFilter
|
||||
{
|
||||
const std::vector<double> fwdL, fwdH, bwdL, bwdH;
|
||||
};
|
||||
|
||||
namespace DWTFilters
|
||||
{
|
||||
extern DWTFilter haar;
|
||||
extern DWTFilter db2;
|
||||
extern DWTFilter db3;
|
||||
extern DWTFilter db4;
|
||||
extern DWTFilter db5;
|
||||
extern DWTFilter db6;
|
||||
extern DWTFilter bior13;
|
||||
extern DWTFilter bior15;
|
||||
extern DWTFilter bior22;
|
||||
extern DWTFilter bior24;
|
||||
extern DWTFilter bior31;
|
||||
extern DWTFilter bior33;
|
||||
extern DWTFilter bior35;
|
||||
|
||||
extern std::map<std::string, const DWTFilter *> fromName;
|
||||
}
|
||||
|
||||
END_LATAN_NAMESPACE
|
||||
|
||||
#endif // Latan_DWTFilters_hpp_
|
||||
Loading…
Reference in New Issue
Block a user