//============================================================================ // Name : 1D/2D Wavelet Transform // Author : Rafat Hussain // Version : // Copyright : GNU Lesser GPL License // Description : Wavelet Library //============================================================================ /*Copyright (C) 2011 Rafat Hussain * 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; version 2 or any later version. * * This program 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 this program; if not, write to the Free Software *Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA. * */ #if defined(TARGET_HAS_ThirdPartyFFTW3) #include "wavelet2s.h" #include #include #include #include #include #include #include #include #include "fftw3.h" // extern "C" int _get_output_format( void ){ return 0; } fftw_plan plan_forward_inp, plan_forward_filt, plan_backward; static std::size_t fftTransientSize = 0; void* per_ext2d(std::vector>& signal, std::vector>& temp2, const int a) { const std::size_t rows = signal.size(); const std::size_t cols = signal[0].size(); const std::size_t cols2 = (cols % 2) != 0 ? cols + 1 : cols; std::vector> tempVec(rows, std::vector(cols2 + 2 * a)); for (std::size_t i = 0; i < rows; ++i) { std::vector sig; for (std::size_t j = 0; j < cols; ++j) { double temp = signal[i][j]; sig.push_back(temp); } per_ext(sig, a); for (std::size_t j = 0; j < sig.size(); ++j) { tempVec[i][j] = sig[j]; } } for (std::size_t j = 0; j < tempVec[0].size(); ++j) { std::vector sig; for (std::size_t i = 0; i < rows; ++i) { double temp = tempVec[i][j]; sig.push_back(temp); } per_ext(sig, a); for (std::size_t i = 0; i < sig.size(); ++i) { temp2[i][j] = sig[i]; } } return nullptr; } void* swt_2d(std::vector>& sig, int J, const std::string& nm, std::vector& swtOutput) { std::size_t m = sig.size(); // No. of rows std::size_t n = sig[0].size(); //No. of columns //std::vector> sig2 = sig; std::size_t nRows = m; std::size_t nCols = n; std::vector lp1, hp1, lp2, hp2; filtcoef(nm, lp1, hp1, lp2, hp2); for (std::size_t it = 0; it < std::size_t(J); ++it) { int U = int(pow(2.0, double(it))); std::vector lowPass, highPass; if (it > 0) { upsamp(lp1, U, lowPass); upsamp(hp1, U, highPass); } else { lowPass = lp1; highPass = hp1; } int lf = lowPass.size(); if ((sig.size() % 2) == 0) { nRows = sig.size(); } else { nRows = sig.size() + 1; } if ((sig[0].size() % 2) == 0) { nCols = sig[0].size(); } else { nCols = sig[0].size() + 1; } std::vector> signal(nRows + lf, std::vector(nCols + lf)); // per_ext2d(sig,signal,lf/2); Edit per_ext if you want to use per_ext2d. Remove // the even indexing. per_ext2d(sig, signal, lf / 2); std::size_t lenX = signal.size(); std::size_t lenY = signal[0].size(); std::vector> sigL(nRows + lf, std::vector(nCols)); std::vector> sigH(nRows + lf, std::vector(nCols)); std::vector> cA(nRows, std::vector(nCols)); std::vector> cH(nRows, std::vector(nCols)); std::vector> cV(nRows, std::vector(nCols)); std::vector> cD(nRows, std::vector(nCols)); for (std::size_t i = 0; i < lenX; ++i) { std::vector tempRow; for (std::size_t j = 0; j < lenY; ++j) { tempRow.push_back(signal[i][j]); } // ------------------Low Pass Branch-------------------------- std::vector oup; convfftm(tempRow, lowPass, oup); oup.erase(oup.begin(), oup.begin() + lf); oup.erase(oup.begin() + nCols, oup.end()); // ------------------High Pass Branch-------------------------- std::vector oup2; convfftm(tempRow, highPass, oup2); oup2.erase(oup2.begin(), oup2.begin() + lf); oup2.erase(oup2.begin() + nCols, oup2.end()); tempRow.clear(); for (std::size_t j = 0; j < oup.size(); ++j) { sigL[i][j] = oup[j]; sigH[i][j] = oup2[j]; } } for (std::size_t j = 0; j < nCols; ++j) { std::vector tempRow; for (std::size_t i = 0; i < lenX; ++i) { tempRow.push_back(sigL[i][j]); } // ------------------Low Pass Branch-------------------------- std::vector oup; convfftm(tempRow, lowPass, oup); oup.erase(oup.begin(), oup.begin() + lf); oup.erase(oup.begin() + nRows, oup.end()); // ------------------High Pass Branch-------------------------- std::vector oup2; convfftm(tempRow, highPass, oup2); oup2.erase(oup2.begin(), oup2.begin() + lf); oup2.erase(oup2.begin() + nRows, oup2.end()); tempRow.clear(); for (std::size_t i = 0; i < oup.size(); ++i) { cA[i][j] = oup[i]; } for (std::size_t i = 0; i < oup2.size(); ++i) { cH[i][j] = oup2[i]; } } for (std::size_t j = 0; j < nCols; ++j) { std::vector tempRow; for (std::size_t i = 0; i < lenX; ++i) { tempRow.push_back(sigH[i][j]); } // ------------------Low Pass Branch-------------------------- std::vector oup; convfftm(tempRow, lowPass, oup); oup.erase(oup.begin(), oup.begin() + lf); oup.erase(oup.begin() + nRows, oup.end()); // ------------------High Pass Branch-------------------------- std::vector oup2; convfftm(tempRow, highPass, oup2); oup2.erase(oup2.begin(), oup2.begin() + lf); oup2.erase(oup2.begin() + nRows, oup2.end()); tempRow.clear(); for (std::size_t i = 0; i < oup.size(); ++i) { cV[i][j] = oup[i]; } for (std::size_t i = 0; i < oup2.size(); ++i) { cD[i][j] = oup2[i]; } } sig = cA; std::vector tempSig2; if (it == std::size_t(J - 1)) { for (std::size_t i = 0; i < nRows; ++i) { for (std::size_t j = 0; j < nCols; ++j) { tempSig2.push_back(cA[i][j]); } } } for (std::size_t i = 0; i < nRows; ++i) { for (std::size_t j = nCols; j < nCols * 2; ++j) { tempSig2.push_back(cH[i][j - nCols]); } } for (std::size_t i = nRows; i < nRows * 2; ++i) { for (std::size_t j = 0; j < nCols; ++j) { tempSig2.push_back(cV[i - nRows][j]); } } for (std::size_t i = nRows; i < nRows * 2; ++i) { for (std::size_t j = nCols; j < nCols * 2; ++j) { tempSig2.push_back(cD[i - nRows][j - nCols]); } } swtOutput.insert(swtOutput.begin(), tempSig2.begin(), tempSig2.end()); } return nullptr; } void* per_ext(std::vector& sig, const int a) { std::size_t len = sig.size(); if ((len % 2) != 0) { sig.push_back(sig[len - 1]); len = sig.size(); } for (std::size_t i = 0; i < std::size_t(a); ++i) { double temp1 = sig[2 * i]; double temp2 = sig[len - 1]; sig.insert(sig.begin(), temp2); sig.insert(sig.end(), temp1); } return nullptr; } void* iswt(std::vector& swtop, int J, const std::string& nm, std::vector& iswtOutput) { std::size_t n = swtop.size() / (J + 1); std::vector lpd, hpd, lpr, hpr; filtcoef(nm, lpd, hpd, lpr, hpr); std::vector appxSig; std::vector lowPass = lpr; std::vector highPass = hpr; int lf = lowPass.size(); for (std::size_t iter = 0; iter < std::size_t(J); ++iter) { std::vector detSig; if (iter == 0) { for (std::size_t i = 0; i < n; ++i) { double temp = swtop[i]; appxSig.push_back(temp); double temp1 = swtop[(iter + 1) * n + i]; detSig.push_back(temp1); } } else { for (std::size_t i = 0; i < n; ++i) { double temp1 = swtop[(iter + 1) * n + i]; detSig.push_back(temp1); } } std::size_t value = std::size_t(pow(2.0, double(J - 1 - iter))); iswtOutput.assign(n, 0.0); for (std::size_t count = 0; count < value; ++count) { std::vector appx1, det1; for (std::size_t index = count; index < n; index += value) { double temp = appxSig[index]; appx1.push_back(temp); double temp1 = detSig[index]; det1.push_back(temp1); } std::size_t len = appx1.size(); // Shift = 0 std::vector appx2, det2; for (std::size_t i = 0; i < len; i += 2) { double temp = appx1[i]; appx2.push_back(temp); double temp1 = det1[i]; det2.push_back(temp1); } int U = 2; // Upsampling Factor std::vector cL0, cH0; upsamp(appx2, U, cL0); upsamp(det2, U, cH0); per_ext(cL0, lf / 2); per_ext(cH0, lf / 2); std::vector oup00L, oup00H, oup00; convfft(cL0, lowPass, oup00L); convfft(cH0, highPass, oup00H); oup00L.erase(oup00L.begin(), oup00L.begin() + lf - 1); oup00L.erase(oup00L.begin() + len, oup00L.end()); oup00H.erase(oup00H.begin(), oup00H.begin() + lf - 1); oup00H.erase(oup00H.begin() + len, oup00H.end()); vecsum(oup00L, oup00H, oup00); // Shift = 1 std::vector appx3, det3; for (std::size_t i = 1; i < len; i += 2) { double temp = appx1[i]; appx3.push_back(temp); double temp1 = det1[i]; det3.push_back(temp1); } std::vector cL1, cH1; upsamp(appx3, U, cL1); upsamp(det3, U, cH1); per_ext(cL1, lf / 2); per_ext(cH1, lf / 2); std::vector oup01L, oup01H, oup01; convfft(cL1, lowPass, oup01L); convfft(cH1, highPass, oup01H); oup01L.erase(oup01L.begin(), oup01L.begin() + lf - 1); oup01L.erase(oup01L.begin() + len, oup01L.end()); oup01H.erase(oup01H.begin(), oup01H.begin() + lf - 1); oup01H.erase(oup01H.begin() + len, oup01H.end()); vecsum(oup01L, oup01H, oup01); circshift(oup01, -1); // Continue std::size_t index2 = 0; for (std::size_t index = count; index < n; index += value) { double temp = oup00[index2] + oup01[index2]; iswtOutput.at(index) = temp / 2; index2++; } } appxSig = iswtOutput; } return nullptr; } void* swt(std::vector& signal1, const int J, const std::string& nm, std::vector& swtOutput, int& length) { std::vector lpd, hpd, lpr, hpr; std::vector sig = signal1; const std::size_t n = sig.size(); length = int(n); filtcoef(nm, lpd, hpd, lpr, hpr); for (std::size_t iter = 0; iter < std::size_t(J); ++iter) { std::vector lowPass; std::vector highPass; if (iter > 0) { const int m = int(pow(2.0, iter)); upsamp(lpd, m, lowPass); upsamp(hpd, m, highPass); } else { lowPass = lpd; highPass = hpd; } const std::size_t lenFilt = lowPass.size(); per_ext(sig, int(lenFilt / 2)); std::vector cA; convfft(sig, lowPass, cA); std::vector cD; convfft(sig, highPass, cD); // Resize cA and cD cA.erase(cA.begin(), cA.begin() + lenFilt); cA.erase(cA.begin() + n, cA.end()); cD.erase(cD.begin(), cD.begin() + lenFilt); cD.erase(cD.begin() + n, cD.end()); // Reset signal value; sig = cA; if (iter == std::size_t(J - 1)) { swtOutput.insert(swtOutput.begin(), cD.begin(), cD.end()); swtOutput.insert(swtOutput.begin(), cA.begin(), cA.end()); } else { swtOutput.insert(swtOutput.begin(), cD.begin(), cD.end()); } } return nullptr; } void* DwtOutputDimSym(std::vector& length, std::vector& length2, const int J) { const std::size_t sz = length.size(); std::size_t rows = length[sz - 2]; std::size_t cols = length[sz - 1]; for (std::size_t i = 0; i < std::size_t(J); ++i) { rows = std::size_t(ceil(double(rows) / 2.0)); cols = std::size_t(ceil(double(cols) / 2.0)); } for (std::size_t i = 0; i < std::size_t(J + 1); ++i) { length2.push_back(rows); length2.push_back(cols); rows = rows * 2; cols = cols * 2; } return nullptr; } void* dwt_output_dim2(std::vector& length, std::vector& length2, const int j) { std::size_t row = length[0]; std::size_t col = length[1]; for (std::size_t i = 0; i < std::size_t(j + 1); ++i) { length2.push_back(row); length2.push_back(col); row = row * 2; col = col * 2; } return nullptr; } void* dispDWT(std::vector& output, std::vector>& dwtdisp, std::vector& length, std::vector& length2, const int J) { std::size_t sum = 0; for (std::size_t it = 0; it < std::size_t(J); ++it) { const int dRows = int(length[2 * it] - length2[2 * it]); const int dCols = int(length[2 * it + 1] - length2[2 * it + 1]); const std::size_t nRows = length[2 * it]; const std::size_t nCols = length[2 * it + 1]; std::vector> oDwt(2 * nRows, std::vector(2 * nCols)); if (it == 0) { for (std::size_t i = 0; i < nRows; ++i) { for (std::size_t j = 0; j < nCols; ++j) { oDwt[i][j] = output[i * nCols + j]; } } for (std::size_t i = 0; i < nRows; ++i) { for (std::size_t j = nCols; j < nCols * 2; ++j) { oDwt[i][j] = output[nRows * nCols + i * nCols + (j - nCols)]; } } for (std::size_t i = nRows; i < nRows * 2; ++i) { for (std::size_t j = 0; j < nCols; ++j) { oDwt[i][j] = output[2 * nRows * nCols + (i - nRows) * nCols + j]; } } for (std::size_t i = nRows; i < nRows * 2; ++i) { for (std::size_t j = nCols; j < nCols * 2; ++j) { oDwt[i][j] = output[3 * nRows * nCols + (i - nRows) * nCols + (j - nCols)]; } } } else { for (std::size_t i = 0; i < nRows; ++i) { for (std::size_t j = nCols; j < nCols * 2; ++j) { oDwt[i][j] = output[sum + i * nCols + (j - nCols)]; } } for (std::size_t i = nRows; i < nRows * 2; ++i) { for (std::size_t j = 0; j < nCols; ++j) { oDwt[i][j] = output[sum + nRows * nCols + (i - nRows) * nCols + j]; } } for (std::size_t i = nRows; i < nRows * 2; ++i) { for (std::size_t j = nCols; j < nCols * 2; ++j) { oDwt[i][j] = output[sum + 2 * nRows * nCols + (i - nRows) * nCols + (j - nCols)]; } } } const std::size_t rowsX = length2[2 * it]; const std::size_t colsX = length2[2 * it + 1]; const int dCols2 = int(ceil(double(dCols - 1) / 2.0)); const int dRows2 = int(ceil(double(dRows - 1) / 2.0)); if (it == 0) { for (std::size_t i = 0; i < rowsX; ++i) { for (std::size_t j = 0; j < colsX; ++j) { if (i + dRows - 1 < 0) { dwtdisp[i][j] = 0; } else if (j + dCols - 1 < 0) { dwtdisp[i][j] = 0; } else { dwtdisp[i][j] = oDwt[i + dRows - 1][j + dCols - 1]; } } } } for (std::size_t i = 0; i < rowsX; ++i) { for (std::size_t j = colsX; j < colsX * 2; ++j) { if (i + dRows2 < 0) { dwtdisp[i][j] = 0; } else if (int(j + 2 * (dCols - 1) + 1) > signed(oDwt[0].size()) - 1) { dwtdisp[i][j] = 0; } else { dwtdisp[i][j] = oDwt[i + dRows2][j + 2 * (dCols - 1) + 1]; } } } for (std::size_t i = rowsX; i < rowsX * 2; ++i) { for (std::size_t j = 0; j < colsX; ++j) { if (int(i + 2 * (dRows - 1) + 1) > signed(oDwt.size()) - 1) { dwtdisp[i][j] = 0; } else if (j + dCols2 < 0) { dwtdisp[i][j] = 0; } else { dwtdisp[i][j] = oDwt[i + 2 * (dRows - 1) + 1][j + dCols2]; } } } for (std::size_t i = rowsX; i < rowsX * 2; ++i) { for (std::size_t j = colsX; j < colsX * 2; ++j) { if (int(i + (dRows - 1) + 1 + dRows2) > signed(oDwt.size()) - 1) { dwtdisp[i][j] = 0; } else if (int(j + (dCols - 1) + 1 + dCols2) > signed(oDwt[0].size()) - 1) { dwtdisp[i][j] = 0; } else { dwtdisp[i][j] = oDwt[i + (dRows - 1) + 1 + dRows2][j + (dCols - 1) + 1 + dCols2]; } } } if (it == 0) { sum += 4 * nRows * nCols; } else { sum += 3 * nRows * nCols; } } return nullptr; } void symm_ext2d(std::vector>& signal, std::vector>& temp2, const int a) { const std::size_t rows = signal.size(); const std::size_t cols = signal[0].size(); std::vector> tempVec(rows, std::vector(cols + 2 * a)); for (std::size_t i = 0; i < rows; ++i) { std::vector sig; for (std::size_t j = 0; j < cols; ++j) { double temp = signal[i][j]; sig.push_back(temp); } symm_ext(sig, a); for (std::size_t j = 0; j < sig.size(); ++j) { tempVec[i][j] = sig[j]; } } for (std::size_t j = 0; j < tempVec[0].size(); ++j) { std::vector sig; for (std::size_t i = 0; i < rows; ++i) { double temp = tempVec[i][j]; sig.push_back(temp); } symm_ext(sig, a); for (std::size_t i = 0; i < sig.size(); ++i) { temp2[i][j] = sig[i]; } } } void* circshift2d(std::vector>& signal, const int x, const int y) { const std::size_t rows = signal.size(); const std::size_t cols = signal[0].size(); std::vector> tempVec(rows, std::vector(cols)); for (std::size_t i = 0; i < rows; ++i) { std::vector sig; for (std::size_t j = 0; j < cols; ++j) { double temp = signal[i][j]; sig.push_back(temp); } circshift(sig, x); for (std::size_t j = 0; j < cols; ++j) { tempVec[i][j] = sig[j]; } } for (std::size_t j = 0; j < cols; ++j) { std::vector sig; for (std::size_t i = 0; i < rows; ++i) { double temp = tempVec[i][j]; sig.push_back(temp); } circshift(sig, y); for (std::size_t i = 0; i < rows; ++i) { signal[i][j] = sig[i]; } } return nullptr; } void* idwt_2d_sym(std::vector& dwtop, std::vector& flag, const std::string& nm, std::vector>& idwtOutput, std::vector& length) { int J = int(flag[0]); std::size_t rows = length[0]; std::size_t cols = length[1]; std::size_t sumCoef = 0; std::vector lp1, hp1, lp2, hp2; filtcoef(nm, lp1, hp1, lp2, hp2); std::size_t lf = lp1.size(); std::vector> cLL(rows, std::vector(cols)); for (std::size_t it = 0; it < std::size_t(J); ++it) { std::size_t nRows = length[2 * it]; std::size_t nCols = length[2 * it + 1]; std::vector> cLH(nRows, std::vector(nCols)); std::vector> cHL(nRows, std::vector(nCols)); std::vector> cHH(nRows, std::vector(nCols)); for (std::size_t i = 0; i < nRows; ++i) { for (std::size_t j = 0; j < nCols; ++j) { if (it == 0) { cLL[i][j] = dwtop[sumCoef + i * nCols + j]; cLH[i][j] = dwtop[sumCoef + nRows * nCols + i * nCols + j]; cHL[i][j] = dwtop[sumCoef + 2 * nRows * nCols + i * nCols + j]; cHH[i][j] = dwtop[sumCoef + 3 * nRows * nCols + i * nCols + j]; } else { cLH[i][j] = dwtop[sumCoef + i * nCols + j]; cHL[i][j] = dwtop[sumCoef + nRows * nCols + i * nCols + j]; cHH[i][j] = dwtop[sumCoef + 2 * nRows * nCols + i * nCols + j]; } } } // temp_A = cLL; // idwt2_sym(nm,idwtOutput2, cA, cH,cV,cD); std::size_t lenX = cLH.size(); std::size_t lenY = cLH[0].size(); // Row Upsampling and Column Filtering at the first LP Stage std::vector> cL(2 * lenX - lf + 2, std::vector(lenY)); std::vector> cH(2 * lenX - lf + 2, std::vector(lenY)); if (it == 0) { for (std::size_t j = 0; j < lenY; ++j) { std::vector sigLL, sigLH, oup; for (std::size_t i = 0; i < lenX; ++i) { double temp1 = cLL[i][j]; double temp2 = cLH[i][j]; sigLL.push_back(temp1); sigLH.push_back(temp2); } idwt1_sym_m(nm, oup, sigLL, sigLH); for (std::size_t i = 0; i < oup.size(); ++i) { cL[i][j] = oup[i]; } } } else { std::size_t rows1 = cLH.size(); std::size_t cols1 = cLH[0].size(); for (std::size_t j = 0; j < cols1; ++j) { std::vector tempL1, tempL2, oup; for (std::size_t i = 0; i < rows1; ++i) { double temp = cLL[i][j]; tempL1.push_back(temp); double temp2 = cLH[i][j]; tempL2.push_back(temp2); } idwt1_sym_m(nm, oup, tempL1, tempL2); for (std::size_t i = 0; i < oup.size(); ++i) { cL[i][j] = oup[i]; } } } for (std::size_t j = 0; j < lenY; ++j) { std::vector sigHL, sigHH, oup2; for (std::size_t i = 0; i < lenX; ++i) { double temp3 = cHL[i][j]; double temp4 = cHH[i][j]; sigHL.push_back(temp3); sigHH.push_back(temp4); } idwt1_sym_m(nm, oup2, sigHL, sigHH); for (std::size_t i = 0; i < oup2.size(); ++i) { cH[i][j] = oup2[i]; } } std::vector> signal(2 * lenX - lf + 2, std::vector(2 * lenY - lf + 2)); for (std::size_t i = 0; i < 2 * lenX - lf + 2; ++i) { std::vector sigL, sigH, oup; for (std::size_t j = 0; j < lenY; ++j) { double temp5 = cL[i][j]; double temp6 = cH[i][j]; sigL.push_back(temp5); sigH.push_back(temp6); } idwt1_sym_m(nm, oup, sigL, sigH); for (std::size_t j = 0; j < oup.size(); ++j) { signal[i][j] = oup[j]; } } idwtOutput = signal; if (it == 0) { sumCoef += 4 * nRows * nCols; } else { sumCoef += 3 * nRows * nCols; } cLL = signal; } return nullptr; } void* dwt2_sym(const std::string& name, std::vector>& signal, std::vector>& cLL, std::vector>& cLH, std::vector>& cHL, std::vector>& cHH) { //Analysis const std::size_t rows = signal.size(); std::size_t cols = signal[0].size(); const std::size_t colsLp1 = cLL[0].size(); const std::size_t colsHp1 = cLL[0].size(); std::vector lp1, hp1, lp2, hp2; filtcoef(name, lp1, hp1, lp2, hp2); std::vector> lpDn1(rows, std::vector(colsLp1)); std::vector> hpDn1(rows, std::vector(colsHp1)); // Implementing row filtering and column downsampling in each branch. for (std::size_t i = 0; i < rows; ++i) { std::vector tempRow, oupLp, oupHp; for (std::size_t j = 0; j < cols; ++j) { double temp = signal[i][j]; tempRow.push_back(temp); } dwt1_sym_m(name, tempRow, oupLp, oupHp); for (std::size_t j = 0; j < oupLp.size(); ++j) { lpDn1[i][j] = oupLp[j]; hpDn1[i][j] = oupHp[j]; } } cols = colsLp1; // Implementing column filtering and row downsampling in Low Pass branch. for (std::size_t j = 0; j < cols; ++j) { std::vector tempRow3, oupLp, oupHp; for (std::size_t i = 0; i < rows; ++i) { double temp = lpDn1[i][j]; tempRow3.push_back(temp); } dwt1_sym_m(name, tempRow3, oupLp, oupHp); for (std::size_t i = 0; i < oupLp.size(); ++i) { cLL[i][j] = oupLp[i]; cLH[i][j] = oupHp[i]; } } // Implementing column filtering and row downsampling in High Pass branch. for (std::size_t j = 0; j < cols; ++j) { std::vector tempRow5, oupLp, oupHp; for (std::size_t i = 0; i < rows; ++i) { double temp = hpDn1[i][j]; tempRow5.push_back(temp); } dwt1_sym_m(name, tempRow5, oupLp, oupHp); for (std::size_t i = 0; i < oupLp.size(); ++i) { cHL[i][j] = oupLp[i]; cHH[i][j] = oupHp[i]; } } return nullptr; } void* dwt_2d_sym(std::vector>& origsig, const int J, const std::string& nm, std::vector& dwtOutput, std::vector& flag, std::vector& length) { // flag will contain std::vector> sig = origsig; std::size_t nRows = sig.size(); // No. of rows std::size_t nCols = sig[0].size(); //No. of columns std::vector> originalCopy = sig; const int maxIter = std::min(int(ceil(log(double(sig.size())) / log(2.0))), int(ceil(log(double(sig[0].size())) / log(2.0)))); if (maxIter < J) { std::cout << J << " Iterations are not possible with signals of this dimension " << std::endl; exit(1); } std::vector lp1, hp1, lp2, hp2; flag.push_back(double(J)); length.insert(length.begin(), nCols); length.insert(length.begin(), nRows); // Flag Values /* double temp = (double) (sig2.size() - sig.size()); // Number of zeropad rows flag.push_back(temp); double temp2 = (double) (sig2[0].size() - sig[0].size());// Number of zpad cols flag.push_back(temp2); flag.push_back((double) J); // Number of Iterations */ std::size_t sumCoef = 0; for (std::size_t iter = 0; iter < std::size_t(J); ++iter) { filtcoef(nm, lp1, hp1, lp2, hp2); const std::size_t lf = lp1.size(); nRows = std::size_t(floor(double(nRows + lf - 1) / 2)); nCols = std::size_t(floor(double(nCols + lf - 1) / 2)); length.insert(length.begin(), nCols); length.insert(length.begin(), nRows); std::vector> cA(nRows, std::vector(nCols)); std::vector> cH(nRows, std::vector(nCols)); std::vector> cV(nRows, std::vector(nCols)); std::vector> cD(nRows, std::vector(nCols)); if (iter == 0) { dwt2_sym(nm, originalCopy, cA, cH, cV, cD); } else { dwt2_sym(nm, originalCopy, cA, cH, cV, cD); } std::vector tempSig2; originalCopy = cA; if (iter == std::size_t(J - 1)) { for (std::size_t i = 0; i < nRows; ++i) { for (std::size_t j = 0; j < nCols; ++j) { double temp = cA[i][j]; tempSig2.push_back(temp); } } } for (std::size_t i = 0; i < nRows; ++i) { for (std::size_t j = nCols; j < nCols * 2; ++j) { double temp = cH[i][j - nCols]; tempSig2.push_back(temp); } } for (std::size_t i = nRows; i < nRows * 2; ++i) { for (std::size_t j = 0; j < nCols; ++j) { double temp = cV[i - nRows][j]; tempSig2.push_back(temp); } } for (std::size_t i = nRows; i < nRows * 2; ++i) { for (std::size_t j = nCols; j < nCols * 2; ++j) { double temp = cD[i - nRows][j - nCols]; tempSig2.push_back(temp); } } dwtOutput.insert(dwtOutput.begin(), tempSig2.begin(), tempSig2.end()); sumCoef += 4 * nRows * nCols; } /* ofstream dwt2out("dwt2out.dat"); for (std::size_t i= 0; i < dwtOutput.size(); ++i){ dwt2out << dwtOutput[i] <& x, std::vector& app, std::vector& detail) { std::vector flag; std::vector idwtOutput; std::vector length; length[0] = app.size(); length[1] = detail.size(); std::vector dwtop = app; dwtop.insert(dwtop.end(), detail.begin(), detail.end()); flag.push_back(1); flag.push_back(0); idwt_sym(dwtop, flag, wname, idwtOutput, length); x = idwtOutput; return nullptr; } void* idwt1_sym_m(const std::string& wname, std::vector& x, std::vector& app, std::vector& detail) { const int U = 2; // Upsampling Factor std::vector lpd1, hpd1, lpr1, hpr1; filtcoef(wname, lpd1, hpd1, lpr1, hpr1); const std::size_t lf = lpr1.size(); // Operations in the Low Frequency branch of the Synthesis Filter Bank std::vector xLp, cAUp; upsamp(app, U, cAUp); cAUp.pop_back(); convfftm(cAUp, lpr1, xLp); // Operations in the High Frequency branch of the Synthesis Filter Bank std::vector xHp, cDUp; upsamp(detail, U, cDUp); cDUp.pop_back(); convfftm(cDUp, hpr1, xHp); vecsum(xLp, xHp, x); x.erase(x.begin(), x.begin() + lf - 2); x.erase(x.end() - (lf - 2), x.end()); return nullptr; } void* symm_ext(std::vector& sig, const int a) { const std::size_t len = sig.size(); for (std::size_t i = 0; i < std::size_t(a); ++i) { double temp1 = sig[i * 2]; double temp2 = sig[len - 1]; sig.insert(sig.begin(), temp1); sig.insert(sig.end(), temp2); } return nullptr; } void* idwt_sym(std::vector& dwtop, std::vector& flag, const std::string& nm, std::vector& idwtOutput, std::vector& length) { const int J = int(flag[1]); std::vector app, detail; std::size_t appLen = length[0], detLen = length[1]; const auto dwt = dwtop.begin(); app.assign(dwt, dwtop.begin() + appLen); detail.assign(dwtop.begin() + appLen, dwtop.begin() + 2 * appLen); for (std::size_t i = 0; i < std::size_t(J); ++i) { const int U = 2; // Upsampling Factor std::vector lpd1, hpd1, lpr1, hpr1; filtcoef(nm, lpd1, hpd1, lpr1, hpr1); const std::size_t lf = lpr1.size(); // Operations in the Low Frequency branch of the Synthesis Filter Bank std::vector xLp, cAUp; upsamp(app, U, cAUp); cAUp.pop_back(); convfft(cAUp, lpr1, xLp); // Operations in the High Frequency branch of the Synthesis Filter Bank std::vector xHp; std::vector cDUp; upsamp(detail, U, cDUp); cDUp.pop_back(); convfft(cDUp, hpr1, xHp); appLen += detLen; vecsum(xLp, xHp, idwtOutput); idwtOutput.erase(idwtOutput.begin(), idwtOutput.begin() + lf - 2); idwtOutput.erase(idwtOutput.end() - (lf - 2), idwtOutput.end()); app.clear(); detail.clear(); if (i < std::size_t(J - 1)) { detLen = length[i + 2]; // detail.assign(dwtop.begin()+app_len, dwtop.begin()+ det_len); for (std::size_t l = 0; l < detLen; ++l) { double temp = dwtop[appLen + l]; detail.push_back(temp); } } app = idwtOutput; for (std::size_t iter1 = 0; iter1 < app.size() - detLen; iter1++) { app.pop_back(); } } // Remove ZeroPadding const int zerop = int(flag[0]); idwtOutput.erase(idwtOutput.end() - zerop, idwtOutput.end()); return nullptr; } void* dwt1_sym(const std::string& wname, std::vector& signal, std::vector& cA, std::vector& cD) { std::vector lp1, hp1, lp2, hp2; filtcoef(wname, lp1, hp1, lp2, hp2); const int d = 2; // Downsampling Factor is 2 const int lf = int(lp1.size()); symm_ext(signal, lf - 1); std::vector cAUndec; //sig value convfft(signal, lp1, cAUndec); cAUndec.erase(cAUndec.begin(), cAUndec.begin() + lf); cAUndec.erase(cAUndec.end() - lf + 1, cAUndec.end()); downsamp(cAUndec, d, cA); // cA.erase(cA.begin(),cA.begin()+(int) ceil(((double)lf-1.0)/2.0)); // cA.erase(cA.end()-(int) ceil(((double)lf-1.0)/2.0),cA.end()); //High Pass Branch Computation std::vector cDUndec; convfft(signal, hp1, cDUndec); cDUndec.erase(cDUndec.begin(), cDUndec.begin() + lf); cDUndec.erase(cDUndec.end() - lf + 1, cDUndec.end()); downsamp(cDUndec, d, cD); // cD.erase(cD.begin(),cD.begin()+(int) ceil(((double)lf-1.0)/2.0)); // cD.erase(cD.end()-(int) ceil(((double)lf-1.0)/2.0),cD.end()); filtcoef(wname, lp1, hp1, lp2, hp2); return nullptr; } void* dwt1_sym_m(const std::string& wname, std::vector& signal, std::vector& cA, std::vector& cD) { std::vector lp1, hp1, lp2, hp2; filtcoef(wname, lp1, hp1, lp2, hp2); const int d = 2; // Downsampling Factor is 2 const int lf = int(lp1.size()); symm_ext(signal, lf - 1); std::vector cAUndec; //sig value convfftm(signal, lp1, cAUndec); cAUndec.erase(cAUndec.begin(), cAUndec.begin() + lf); cAUndec.erase(cAUndec.end() - lf + 1, cAUndec.end()); downsamp(cAUndec, d, cA); // cA.erase(cA.begin(),cA.begin()+(int) ceil(((double)lf-1.0)/2.0)); // cA.erase(cA.end()-(int) ceil(((double)lf-1.0)/2.0),cA.end()); //High Pass Branch Computation std::vector cDUndec; convfftm(signal, hp1, cDUndec); cDUndec.erase(cDUndec.begin(), cDUndec.begin() + lf); cDUndec.erase(cDUndec.end() - lf + 1, cDUndec.end()); downsamp(cDUndec, d, cD); // cD.erase(cD.begin(),cD.begin()+(int) ceil(((double)lf-1.0)/2.0)); // cD.erase(cD.end()-(int) ceil(((double)lf-1.0)/2.0),cD.end()); filtcoef(wname, lp1, hp1, lp2, hp2); return nullptr; } void* dwt_sym(std::vector& signal, const int J, const std::string& nm, std::vector& dwtOutput, std::vector& flag, std::vector& length) { std::size_t tempLen = signal.size(); if ((tempLen % 2) != 0) { const double temp = signal[tempLen - 1]; signal.push_back(temp); flag.push_back(1); tempLen++; } else { flag.push_back(0); } length.push_back(tempLen); flag.push_back(double(J)); // flag[2] contains symmetric extension length std::vector appxSig, detSig; const std::vector originalCopy = signal; // Storing Filter Values for GnuPlot std::vector lp1, hp1, lp2, hp2; filtcoef(nm, lp1, hp1, lp2, hp2); for (std::size_t iter = 0; iter < std::size_t(J); ++iter) { dwt1_sym(nm, signal, appxSig, detSig); dwtOutput.insert(dwtOutput.begin(), detSig.begin(), detSig.end()); std::size_t temp = detSig.size(); length.insert(length.begin(), temp); if (iter == std::size_t(J - 1)) { dwtOutput.insert(dwtOutput.begin(), appxSig.begin(), appxSig.end()); length.insert(length.begin(), appxSig.size()); } signal.clear(); signal = appxSig; appxSig.clear(); detSig.clear(); } signal = originalCopy; return nullptr; } void* freq(std::vector& sig, std::vector& freqResp) { const std::size_t k = sig.size(); const std::size_t n = std::size_t(pow(2.0, ceil(log10(double(k)) / log10(2.0)))); std::vector> fftOup; for (std::size_t i = 0; i < sig.size(); ++i) { double temp = sig[i]; fftOup.push_back(std::complex(temp, 0)); } fft(fftOup, 1, n); for (std::size_t i = 0; i < n; ++i) { double temp = abs(fftOup[i]); freqResp.push_back(temp); } circshift(freqResp, int(n) / 2); return nullptr; } double convfft(std::vector& a, std::vector& b, std::vector& c) { const std::size_t sz = a.size() + b.size() - 1; fftw_complex* inpData = static_cast(fftw_malloc(sizeof(fftw_complex) * sz)); fftw_complex* filtData = static_cast(fftw_malloc(sizeof(fftw_complex) * sz)); fftw_complex* inpFFT = static_cast(fftw_malloc(sizeof(fftw_complex) * sz)); fftw_complex* filtFFT = static_cast(fftw_malloc(sizeof(fftw_complex) * sz)); fftw_complex* tempData = static_cast(fftw_malloc(sizeof(fftw_complex) * sz)); fftw_complex* tempIfft = static_cast(fftw_malloc(sizeof(fftw_complex) * sz)); fftw_plan plan_forward_inp = fftw_plan_dft_1d(int(sz), inpData, inpFFT, FFTW_FORWARD, FFTW_ESTIMATE); fftw_plan plan_forward_filt = fftw_plan_dft_1d(int(sz), filtData, filtFFT, FFTW_FORWARD, FFTW_ESTIMATE); fftw_plan plan_backward = fftw_plan_dft_1d(int(sz), tempData, tempIfft, FFTW_BACKWARD, FFTW_ESTIMATE); for (std::size_t i = 0; i < sz; ++i) { if (i < a.size()) { inpData[i][0] = a[i]; } else { inpData[i][0] = 0.0; } inpData[i][1] = 0.0; if (i < b.size()) { filtData[i][0] = b[i]; } else { filtData[i][0] = 0.0; } filtData[i][1] = 0.0; } fftw_execute(plan_forward_inp); fftw_execute(plan_forward_filt); for (std::size_t i = 0; i < sz; ++i) { tempData[i][0] = inpFFT[i][0] * filtFFT[i][0] - inpFFT[i][1] * filtFFT[i][1]; tempData[i][1] = inpFFT[i][0] * filtFFT[i][1] + inpFFT[i][1] * filtFFT[i][0]; } fftw_execute(plan_backward); for (std::size_t i = 0; i < sz; ++i) { double temp1; temp1 = tempIfft[i][0] / double(sz); c.push_back(temp1); } fftw_free(inpData); fftw_free(filtData); fftw_free(inpFFT); fftw_free(filtFFT); fftw_free(tempData); fftw_free(tempIfft); fftw_destroy_plan(plan_forward_inp); fftw_destroy_plan(plan_forward_filt); fftw_destroy_plan(plan_backward); return 0; } double convfftm(std::vector& a, std::vector& b, std::vector& c) { const std::size_t sz = a.size() + b.size() - 1; fftw_complex* inpData = static_cast(fftw_malloc(sizeof(fftw_complex) * sz)); fftw_complex* filtData = static_cast(fftw_malloc(sizeof(fftw_complex) * sz)); fftw_complex* inpFFT = static_cast(fftw_malloc(sizeof(fftw_complex) * sz)); fftw_complex* filtFFT = static_cast(fftw_malloc(sizeof(fftw_complex) * sz)); fftw_complex* tempData = static_cast(fftw_malloc(sizeof(fftw_complex) * sz)); fftw_complex* tempIfft = static_cast(fftw_malloc(sizeof(fftw_complex) * sz)); if (sz != fftTransientSize) { if (fftTransientSize != 0) { fftw_destroy_plan(plan_forward_inp); fftw_destroy_plan(plan_forward_filt); fftw_destroy_plan(plan_backward); } plan_forward_inp = fftw_plan_dft_1d(int(sz), inpData, inpFFT, FFTW_FORWARD, FFTW_MEASURE); plan_forward_filt = fftw_plan_dft_1d(int(sz), filtData, filtFFT, FFTW_FORWARD, FFTW_MEASURE); plan_backward = fftw_plan_dft_1d(int(sz), tempData, tempIfft, FFTW_BACKWARD, FFTW_MEASURE); fftTransientSize = sz; } for (std::size_t i = 0; i < sz; ++i) { if (i < a.size()) { inpData[i][0] = a[i]; } else { inpData[i][0] = 0.0; } inpData[i][1] = 0.0; if (i < b.size()) { filtData[i][0] = b[i]; } else { filtData[i][0] = 0.0; } filtData[i][1] = 0.0; } fftw_execute_dft(plan_forward_inp, inpData, inpFFT); fftw_execute_dft(plan_forward_filt, filtData, filtFFT); for (std::size_t i = 0; i < sz; ++i) { tempData[i][0] = inpFFT[i][0] * filtFFT[i][0] - inpFFT[i][1] * filtFFT[i][1]; tempData[i][1] = inpFFT[i][0] * filtFFT[i][1] + inpFFT[i][1] * filtFFT[i][0]; } fftw_execute_dft(plan_backward, tempData, tempIfft); for (std::size_t i = 0; i < sz; ++i) { double temp1; temp1 = tempIfft[i][0] / double(sz); c.push_back(temp1); } fftw_free(inpData); fftw_free(filtData); fftw_free(inpFFT); fftw_free(filtFFT); fftw_free(tempData); fftw_free(tempIfft); return 0; } void* fft(std::vector>& data, const int sign, std::size_t n) { double pi = - 3.14159265358979; if (sign == 1 || sign == -1) { pi = sign * pi; } else { std::cout << "Format fft(data, num), num = +1(fft) and num = -1 (Ifft)" << std::endl; exit(1); } const std::size_t len = data.size(); const auto it = data.end(); if (len != n) { const std::size_t al = n - len; data.insert(it, al, std::complex(0, 0)); } const std::size_t k = std::size_t(pow(2.0, ceil(log10(double(n)) / log10(2.0)))); const auto it1 = data.end(); if (n < k) { const std::size_t al = k - n; data.insert(it1, al, std::complex(0, 0)); n = k; } bitreverse(data); // radix2(data); for (std::size_t iter = 1; iter < n; iter <<= 1) { const std::size_t step = iter << 1; const double theta = pi / double(iter); double wtemp = sin(theta * .5); // Multipliers const double wreal = -2 * wtemp * wtemp; const double wimag = sin(theta); // Factors double wr = 1.0; double wi = 0.0; // Iteration through two loops for (std::size_t m = 0; m < iter; ++m) { // Iteration within m for (std::size_t i = m; i < n; i += step) { // jth position const std::size_t j = i + iter; double tempr = wr * std::real(data[j]) - wi * std::imag(data[j]); double tempi = wr * std::imag(data[j]) + wi * std::real(data[j]); std::complex temp(tempr, tempi); data[j] = data[i] - temp; data[i] += temp; } // Twiddle Factors updated wtemp = wr; wr += wr * wreal - wi * wimag; wi += wi * wreal + wtemp * wimag; } } if (sign == -1) { const double scale = 1.0 / double(n); for (std::size_t i = 0; i < n; ++i) { data[i] *= scale; } } // Place holder return nullptr; } void* bitreverse(std::vector>& sig) { const std::size_t len = sig.size(); const std::size_t n = std::size_t(pow(2.0, ceil(log10(double(len)) / log10(2.0)))); std::size_t rev = 0; // Processing Input Data for (std::size_t iter = 0; iter < n; ++iter) { if (rev > iter) { // Replacing current values with reversed values double tempr = std::real(sig[rev]); double tempi = std::imag(sig[rev]); const std::complex temp(tempr, tempi); sig[rev] = sig[iter]; sig[iter] = temp; } // Using filter "filt" such that the value of reverse changes with each iteration std::size_t filt = n; while (rev & (filt >>= 1)) { rev &= ~filt; } rev |= filt; } return nullptr; } void* dwt(std::vector& sig, int j, const std::string& nm, std::vector& dwtOutput, std::vector& flag, std::vector& length) { const int maxIter = int(ceil(log(double(sig.size())) / log(2.0))) - 2; if (maxIter < j) { j = maxIter; } std::vector appxSig, detSig; const std::vector originalCopy = sig; // Zero Pad the Signal to nearest 2^ M value ,where M is an integer. std::size_t tempLen = sig.size(); if ((tempLen % 2) != 0) { const double temp = sig[tempLen - 1]; sig.push_back(temp); flag.push_back(1); tempLen++; } else { flag.push_back(0); } length.push_back(tempLen); flag.push_back(double(j)); std::vector orig = sig; // Storing Filter Values for GnuPlot std::vector lp1, hp1, lp2, hp2; filtcoef(nm, lp1, hp1, lp2, hp2); for (std::size_t iter = 0; iter < std::size_t(j); ++iter) { dwt1(nm, orig, appxSig, detSig); dwtOutput.insert(dwtOutput.begin(), detSig.begin(), detSig.end()); const int temp = detSig.size(); length.insert(length.begin(), temp); if (iter == std::size_t(j - 1)) { dwtOutput.insert(dwtOutput.begin(), appxSig.begin(), appxSig.end()); std::size_t temp2 = appxSig.size(); length.insert(length.begin(), temp2); } orig = appxSig; appxSig.clear(); detSig.clear(); } sig = originalCopy; return nullptr; } void circshift(std::vector& sigCir, int l) { if (abs(l) > int(sigCir.size())) { l = sign(l) * int(abs(l) % sigCir.size()); } if (l < 0) { l = int((sigCir.size() + l) % sigCir.size()); // std::cout << "L" << L << std::endl; } for (std::size_t i = 0; i < std::size_t(l); ++i) { sigCir.push_back(sigCir[0]); sigCir.erase(sigCir.begin()); } } double convol(std::vector& a1, std::vector& b1, std::vector& c) { const std::size_t lenC = a1.size() + b1.size() - 1; std::vector a = a1; std::vector b = b1; std::vector oup(lenC); const auto itA = a.end(); const double al = double(lenC - a.size()); a.insert(itA, al, 0); const auto itB = b.end(); const double bl = double(lenC - b.size()); b.insert(itB, bl, 0); for (std::size_t ini = 0; ini < lenC; ++ini) { oup[ini] = 0; double temp = 0; for (std::size_t jni = 0; jni <= ini; ++jni) { const double ou1 = a[jni] * b[ini - jni]; oup[ini] += ou1; } temp = oup[ini]; c.push_back(temp); } oup.clear(); return 0; } void downsamp(std::vector& sig, const int m, std::vector& sigD) { const std::size_t len = sig.size(); const std::size_t n = std::size_t(ceil(double(len) / double(m))); for (std::size_t i = 0; i < n; ++i) { double temp = sig[i * m]; sigD.push_back(temp); } } void* dwt1(const std::string& wname, std::vector& signal, std::vector& cA, std::vector& cD) { std::vector lpd, hpd, lpr, hpr; filtcoef(wname, lpd, hpd, lpr, hpr); const std::size_t lenLpfilt = lpd.size(); const std::size_t lenHpfilt = hpd.size(); const std::size_t lenAvg = (lenLpfilt + lenHpfilt) / 2; const std::size_t lenSig = 2 * std::size_t(ceil(double(signal.size()) / 2.0)); // std::cout << lenLpfilt << "Filter" << std::endl; per_ext(signal, int(lenAvg / 2)); // Periodic Extension // computations designed to deal with boundary distortions // Low Pass Filtering Operations in the Analysis Filter Bank Section // int len_cA =(int) floor(double (len_sig + lenLpfilt -1) / double (2)); std::vector cAUndec; // convolving signal with lpd, Low Pass Filter, and O/P is stored in cA_undec convfft(signal, lpd, cAUndec); const int d = 2; // Downsampling Factor is 2 cAUndec.erase(cAUndec.begin(), cAUndec.begin() + lenAvg - 1); cAUndec.erase(cAUndec.end() - lenAvg + 1, cAUndec.end()); cAUndec.erase(cAUndec.begin() + lenSig, cAUndec.end()); cAUndec.erase(cAUndec.begin()); // Downsampling by 2 gives cA downsamp(cAUndec, d, cA); // cA.erase(cA.begin(),cA.begin()+len_avg/2); // cA.erase(cA.end()-len_avg/2,cA.end()); // High Pass Filtering Operations in the Analysis Filter Bank Section // int len_cA =(int) floor(double (len_sig + lenLpfilt -1) / double (2)); std::vector cDUndec; // convolving signal with lpd, Low Pass Filter, and O/P is stored in cA_undec convfft(signal, hpd, cDUndec); cDUndec.erase(cDUndec.begin(), cDUndec.begin() + lenAvg - 1); cDUndec.erase(cDUndec.end() - lenAvg + 1, cDUndec.end()); cDUndec.erase(cDUndec.begin() + lenSig, cDUndec.end()); cDUndec.erase(cDUndec.begin()); // Downsampling Factor is 2 // Downsampling by 2 gives cA downsamp(cDUndec, d, cD); // cD.erase(cD.begin(),cD.begin()+len_avg/2); // cD.erase(cD.end()-len_avg/2,cD.end()); filtcoef(wname, lpd, hpd, lpr, hpr); return nullptr; } void* dwt1_m(const std::string& wname, std::vector& signal, std::vector& cA, std::vector& cD) { std::vector lpd, hpd, lpr, hpr; filtcoef(wname, lpd, hpd, lpr, hpr); const std::size_t lenLpfilt = lpd.size(); const std::size_t lenHpfilt = hpd.size(); const std::size_t lenAvg = (lenLpfilt + lenHpfilt) / 2; const std::size_t lenSig = 2 * std::size_t(ceil(double(signal.size()) / 2.0)); // std::cout << lenLpfilt << "Filter" << std::endl; per_ext(signal, int(lenAvg / 2)); // Periodic Extension // computations designed to deal with boundary distortions // Low Pass Filtering Operations in the Analysis Filter Bank Section // int len_cA =(int) floor(double (len_sig + lenLpfilt -1) / double (2)); std::vector cAUndec; // convolving signal with lpd, Low Pass Filter, and O/P is stored in cA_undec convfftm(signal, lpd, cAUndec); const int d = 2; // Downsampling Factor is 2 cAUndec.erase(cAUndec.begin(), cAUndec.begin() + lenAvg - 1); cAUndec.erase(cAUndec.end() - lenAvg + 1, cAUndec.end()); cAUndec.erase(cAUndec.begin() + lenSig, cAUndec.end()); cAUndec.erase(cAUndec.begin()); // Downsampling by 2 gives cA downsamp(cAUndec, d, cA); // cA.erase(cA.begin(),cA.begin()+len_avg/2); // cA.erase(cA.end()-len_avg/2,cA.end()); // High Pass Filtering Operations in the Analysis Filter Bank Section // int len_cA =(int) floor(double (len_sig + lenLpfilt -1) / double (2)); std::vector cDUndec; // convolving signal with lpd, Low Pass Filter, and O/P is stored in cA_undec convfftm(signal, hpd, cDUndec); cDUndec.erase(cDUndec.begin(), cDUndec.begin() + lenAvg - 1); cDUndec.erase(cDUndec.end() - lenAvg + 1, cDUndec.end()); cDUndec.erase(cDUndec.begin() + lenSig, cDUndec.end()); cDUndec.erase(cDUndec.begin()); // Downsampling Factor is 2 // Downsampling by 2 gives cA downsamp(cDUndec, d, cD); // cD.erase(cD.begin(),cD.begin()+len_avg/2); // cD.erase(cD.end()-len_avg/2,cD.end()); filtcoef(wname, lpd, hpd, lpr, hpr); return nullptr; } void* dyadic_zpad_1d(std::vector& signal) { const std::size_t n = signal.size(); const double m = log10(double(n)) / log10(2.0); const int d = int(ceil(m)); const double intVal = pow(2.0, double(d)) - pow(2.0, m); const int z = int(intVal); const auto itA = signal.end(); const double val = signal[n - 1]; // double val = 0; signal.insert(itA, z, val); return nullptr; } void* idwt(std::vector& dwtop, std::vector& flag, const std::string& nm, std::vector& idwtOutput, std::vector& length) { const std::size_t j = std::size_t(flag[1]); // int zpad =(int) flag[0]; std::vector app; std::vector detail; std::size_t appLen = length[0]; std::size_t detLen = length[1]; const auto dwt = dwtop.begin(); app.assign(dwt, dwtop.begin() + appLen); detail.assign(dwtop.begin() + appLen, dwtop.begin() + 2 * appLen); for (std::size_t i = 0; i < j; ++i) { idwt1(nm, idwtOutput, app, detail); appLen += detLen; app.clear(); detail.clear(); if (i < j - 1) { detLen = length[i + 2]; for (std::size_t l = 0; l < detLen; ++l) { double temp = dwtop[appLen + l]; detail.push_back(temp); } app = idwtOutput; if (app.size() >= detail.size()) { const std::size_t t = app.size() - detail.size(); const std::size_t lent = std::size_t(floor(double(t) / 2.0)); app.erase(app.begin() + detail.size() + lent, app.end()); app.erase(app.begin(), app.begin() + lent); } } //int value1 = (int) ceil(double(app.size() - det_len)/2.0); //int value2 = (int) floor(double(app.size() - det_len)/2.0); //app.erase(app.end() -value2,app.end()); //app.erase(app.begin(),app.begin()+value1); } // Remove ZeroPadding const int zerop = int(flag[0]); idwtOutput.erase(idwtOutput.end() - zerop, idwtOutput.end()); return nullptr; } void* idwt1_m(const std::string& wname, std::vector& x, std::vector& cA, std::vector& cD) { std::vector lpd1, hpd1, lpr1, hpr1; filtcoef(wname, lpd1, hpd1, lpr1, hpr1); const std::size_t lenLpfilt = lpr1.size(); const std::size_t lenHpfilt = hpr1.size(); const std::size_t lenAvg = (lenLpfilt + lenHpfilt) / 2; const std::size_t n = 2 * cD.size(); const int U = 2; // Upsampling Factor // Operations in the Low Frequency branch of the Synthesis Filter Bank std::vector cAUp; std::vector xLp; // int len1 = cAUp.size(); upsamp(cA, U, cAUp); per_ext(cAUp, int(lenAvg / 2)); convfftm(cAUp, lpr1, xLp); // Operations in the High Frequency branch of the Synthesis Filter Bank std::vector cDUp, xHp; upsamp(cD, U, cDUp); per_ext(cDUp, int(lenAvg / 2)); convfftm(cDUp, hpr1, xHp); // Remove periodic extension // X.erase(X.begin(),X.begin()+len_avg+len_avg/2-1); // X.erase(X.end()-len_avg-len_avg/2,X.end()); xLp.erase(xLp.begin() + n + lenAvg - 1, xLp.end()); xLp.erase(xLp.begin(), xLp.begin() + lenAvg - 1); xHp.erase(xHp.begin() + n + lenAvg - 1, xHp.end()); xHp.erase(xHp.begin(), xHp.begin() + lenAvg - 1); vecsum(xLp, xHp, x); return nullptr; } void* idwt1(const std::string& wname, std::vector& X, std::vector& cA, std::vector& cD) { std::vector lpd1, hpd1, lpr1, hpr1; filtcoef(wname, lpd1, hpd1, lpr1, hpr1); const std::size_t lenLpfilt = lpr1.size(); const std::size_t lenHpfilt = hpr1.size(); const std::size_t lenAvg = (lenLpfilt + lenHpfilt) / 2; const std::size_t n = 2 * cD.size(); const int U = 2; // Upsampling Factor // Operations in the Low Frequency branch of the Synthesis Filter Bank std::vector cAUp, xLp; // int len1 = cAUp.size(); upsamp(cA, U, cAUp); per_ext(cAUp, int(lenAvg / 2)); convfft(cAUp, lpr1, xLp); // Operations in the High Frequency branch of the Synthesis Filter Bank std::vector cDUp, xHp; upsamp(cD, U, cDUp); per_ext(cDUp, int(lenAvg / 2)); convfft(cDUp, hpr1, xHp); // Remove periodic extension // X.erase(X.begin(),X.begin()+len_avg+len_avg/2-1); // X.erase(X.end()-len_avg-len_avg/2,X.end()); xLp.erase(xLp.begin() + n + lenAvg - 1, xLp.end()); xLp.erase(xLp.begin(), xLp.begin() + lenAvg - 1); xHp.erase(xHp.begin() + n + lenAvg - 1, xHp.end()); xHp.erase(xHp.begin(), xHp.begin() + lenAvg - 1); vecsum(xLp, xHp, X); return nullptr; } int sign(const int x) { if (x >= 0) { return 1; } return -1; } void upsamp(std::vector& sig, const int m, std::vector& sigU) { const std::size_t len = sig.size(); const std::size_t n = std::size_t(ceil(double(len) * double(m))); for (std::size_t i = 0; i < n; ++i) { if (i % m == 0) { double temp = sig[i / m]; sigU.push_back(temp); } else { sigU.push_back(0); } } } double OPSum(const double i, const double j) { return (i + j); } int vecsum(std::vector& a, std::vector& b, std::vector& c) { c.resize(a.size()); transform(a.begin(), a.end(), b.begin(), b.begin(), OPSum); c = b; return 0; } void* getcoeff2d(std::vector>& dwtoutput, std::vector>& cH, std::vector>& cV, std::vector>& cD, std::vector& flag, int& n) { if (n > flag[2]) { std::cout << "Signal is decimated only up to " << flag[2] << " levels" << std::endl; exit(1); } const std::size_t rows = dwtoutput.size(); const std::size_t cols = dwtoutput[0].size(); // Getting Horizontal Coefficients const std::size_t r = std::size_t(ceil(double(rows) / pow(2.0, n))); const std::size_t c = std::size_t(ceil(double(cols) / pow(2.0, n))); for (std::size_t i = 0; i < std::size_t(ceil(double(rows) / pow(2.0, n))); ++i) { for (std::size_t j = 0; j < std::size_t(ceil(double(cols) / pow(2.0, n))); ++j) { cH[i][j] = dwtoutput[i][c + j]; } } for (std::size_t i = 0; i < std::size_t(ceil(double(rows) / pow(2.0, n))); ++i) { for (std::size_t j = 0; j < std::size_t(ceil(double(cols) / pow(2.0, n))); ++j) { cV[i][j] = dwtoutput[i + r][j]; } } for (std::size_t i = 0; i < std::size_t(ceil(double(rows) / pow(2.0, n))); ++i) { for (std::size_t j = 0; j < std::size_t(ceil(double(cols) / pow(2.0, n))); ++j) { cD[i][j] = dwtoutput[i + r][c + j]; } } return nullptr; } void* zero_remove(std::vector>& input, std::vector>& output) { const int zeroRows = int(output.size() - input.size()); const int zeroCols = int(output[0].size() - input[0].size()); auto row = output.end() - zeroRows; const std::size_t ousize = output.size(); for (std::size_t i = input.size(); i < ousize; ++i) { output.erase(row); ++row; } // std::size_t ousize2 = output[0].size(); for (std::size_t i = 0; i < ousize; ++i) { const auto col = output[i].end() - zeroCols; output[i].erase(col, output[i].end()); } return nullptr; } void* dwt_output_dim(std::vector>& signal, int& r, int& c) { const std::size_t rows = signal.size(); const std::size_t cols = signal[0].size(); const double mr = log10(double(rows)) / log10(2.0); const int dr = int(ceil(mr)); const double intValRow = pow(2.0, double(dr)); const int r1 = int(intValRow); const double mc = log10(double(cols)) / log10(2.0); const int dc = int(ceil(mc)); const double intValCols = pow(2.0, double(dc)); const int c1 = int(intValCols); r = std::max(r1, c1); c = std::max(r1, c1); return nullptr; } void* dyadic_zpad_2d(std::vector>& signal, std::vector>& mod) { const std::size_t rows = signal.size(); const std::size_t cols = signal[0].size(); for (std::size_t i = 0; i < rows; ++i) { for (std::size_t j = 0; j < cols; ++j) { mod[i][j] = signal[i][j]; } } // Zeropadding the columns const double mr = log10(double(rows)) / log10(2.0); const int dr = int(ceil(mr)); const double intValRow = pow(2.0, double(dr)) - pow(2.0, mr); const int zerosRow = int(intValRow); const double mc = log10(double(cols)) / log10(2.0); const int dc = int(ceil(mc)); const double intValCols = pow(2.0, double(dc)) - pow(2.0, mc); const int zerosCols = int(intValCols); for (std::size_t i = 0; i < rows + zerosRow; ++i) { for (std::size_t j = cols; j < cols + zerosCols; ++j) { mod[i][j] = 0; } } for (std::size_t i = rows; i < rows + zerosRow; ++i) { for (std::size_t j = 0; j < cols + zerosCols; ++j) { mod[i][j] = 0; } } return nullptr; } void* idwt_2d(std::vector& dwtop, std::vector& flag, const std::string& nm, std::vector>& idwtOutput, std::vector& length) { std::size_t J = std::size_t(flag[0]); std::size_t rows = length[0]; std::size_t cols = length[1]; std::size_t sumCoef = 0; std::vector lp1, hp1, lp2, hp2; filtcoef(nm, lp1, hp1, lp2, hp2); std::vector> cLL(rows, std::vector(cols)); for (std::size_t iter = 0; iter < J; ++iter) { std::size_t nRows = length[2 * iter]; std::size_t nCols = length[2 * iter + 1]; std::vector> cLH(nRows, std::vector(nCols)); std::vector> cHL(nRows, std::vector(nCols)); std::vector> cHH(nRows, std::vector(nCols)); for (std::size_t i = 0; i < nRows; ++i) { for (std::size_t j = 0; j < nCols; ++j) { if (iter == 0) { cLL[i][j] = dwtop[sumCoef + i * nCols + j]; cLH[i][j] = dwtop[sumCoef + nRows * nCols + i * nCols + j]; cHL[i][j] = dwtop[sumCoef + 2 * nRows * nCols + i * nCols + j]; cHH[i][j] = dwtop[sumCoef + 3 * nRows * nCols + i * nCols + j]; } else { cLH[i][j] = dwtop[sumCoef + i * nCols + j]; cHL[i][j] = dwtop[sumCoef + nRows * nCols + i * nCols + j]; cHH[i][j] = dwtop[sumCoef + 2 * nRows * nCols + i * nCols + j]; } } } // temp_A = cLL; // idwt2_sym(nm,idwtOutput2, cA, cH,cV,cD); std::size_t lenX = cLH.size(); std::size_t lenY = cLH[0].size(); // Row Upsampling and Column Filtering at the first LP Stage std::vector> cL(2 * lenX, std::vector(lenY)); std::vector> cH(2 * lenX, std::vector(lenY)); if (iter == 0) { for (std::size_t j = 0; j < lenY; ++j) { std::vector sigLL, sigLH, oup; for (std::size_t i = 0; i < lenX; ++i) { double temp1 = cLL[i][j]; double temp2 = cLH[i][j]; sigLL.push_back(temp1); sigLH.push_back(temp2); } idwt1_m(nm, oup, sigLL, sigLH); for (std::size_t i = 0; i < oup.size(); ++i) { cL[i][j] = oup[i]; } } } else { std::size_t rows1 = cLH.size(); std::size_t cols1 = cLH[0].size(); for (std::size_t j = 0; j < cols1; ++j) { std::vector tempL1, tempL2, oup; for (std::size_t i = 0; i < rows1; ++i) { double temp = cLL[i][j]; tempL1.push_back(temp); double temp2 = cLH[i][j]; tempL2.push_back(temp2); } idwt1_m(nm, oup, tempL1, tempL2); for (std::size_t i = 0; i < oup.size(); ++i) { cL[i][j] = oup[i]; } } } for (std::size_t j = 0; j < lenY; ++j) { std::vector sigHL, sigHH, oup2; for (std::size_t i = 0; i < lenX; ++i) { double temp3 = cHL[i][j]; double temp4 = cHH[i][j]; sigHL.push_back(temp3); sigHH.push_back(temp4); } idwt1_m(nm, oup2, sigHL, sigHH); for (std::size_t i = 0; i < oup2.size(); ++i) { cH[i][j] = oup2[i]; } } std::vector> signal(2 * lenX, std::vector(2 * lenY)); for (std::size_t i = 0; i < 2 * lenX; ++i) { std::vector sigL, sigH, oup; for (std::size_t j = 0; j < lenY; ++j) { double temp5 = cL[i][j]; double temp6 = cH[i][j]; sigL.push_back(temp5); sigH.push_back(temp6); } idwt1_m(nm, oup, sigL, sigH); for (std::size_t j = 0; j < oup.size(); ++j) { signal[i][j] = oup[j]; } } idwtOutput = signal; if (iter == 0) { sumCoef += 4 * nRows * nCols; } else { sumCoef += 3 * nRows * nCols; } cLL = signal; } return nullptr; } void* dwt_2d(std::vector>& origsig, const int J, const std::string& nm, std::vector& dwtOutput, std::vector& flag, std::vector& length) { // flag will contain std::vector> sig = origsig; std::size_t nRows = sig.size(); // No. of rows std::size_t nCols = sig[0].size(); //No. of columns std::vector> originalCopy = sig; const int maxIter = std::min(int(ceil(log(double(sig.size())) / log(2.0))), int(ceil(log(double(sig[0].size())) / log(2.0)))); if (maxIter < J) { std::cout << J << " Iterations are not possible with signals of this dimension " << std::endl; exit(1); } std::vector lp1, hp1, lp2, hp2; flag.push_back(double(J)); flag.push_back(0); length.insert(length.begin(), nCols); length.insert(length.begin(), nRows); std::size_t sumCoef = 0; for (std::size_t iter = 0; iter < std::size_t(J); ++iter) { filtcoef(nm, lp1, hp1, lp2, hp2); nRows = int(ceil(double(nRows) / 2.0)); nCols = int(ceil(double(nCols) / 2.0)); length.insert(length.begin(), nCols); length.insert(length.begin(), nRows); std::vector> cA(nRows, std::vector(nCols)); std::vector> cH(nRows, std::vector(nCols)); std::vector> cV(nRows, std::vector(nCols)); std::vector> cD(nRows, std::vector(nCols)); if (iter == 0) { dwt2(nm, originalCopy, cA, cH, cV, cD); } else { dwt2(nm, originalCopy, cA, cH, cV, cD); } std::vector tempSig2; originalCopy = cA; if (iter == std::size_t(J - 1)) { for (std::size_t i = 0; i < nRows; ++i) { for (std::size_t j = 0; j < nCols; ++j) { double temp = cA[i][j]; tempSig2.push_back(temp); } } } for (std::size_t i = 0; i < nRows; ++i) { for (std::size_t j = nCols; j < nCols * 2; ++j) { double temp = cH[i][j - nCols]; tempSig2.push_back(temp); } } for (std::size_t i = nRows; i < nRows * 2; ++i) { for (std::size_t j = 0; j < nCols; ++j) { double temp = cV[i - nRows][j]; tempSig2.push_back(temp); } } for (std::size_t i = nRows; i < nRows * 2; ++i) { for (std::size_t j = nCols; j < nCols * 2; ++j) { double temp = cD[i - nRows][j - nCols]; tempSig2.push_back(temp); } } dwtOutput.insert(dwtOutput.begin(), tempSig2.begin(), tempSig2.end()); sumCoef += 4 * nRows * nCols; } /* ofstream dwt2out("dwt2out.dat"); for (std::size_t i= 0; i < dwtOutput.size(); ++i){ dwt2out << dwtOutput[i] <& cA, std::vector& cD, std::vector& x) { std::vector lpd1, hpd1, lpr1, hpr1; filtcoef(wname, lpd1, hpd1, lpr1, hpr1); const std::size_t lenLpfilt = lpr1.size(); const std::size_t lenHpfilt = hpr1.size(); const std::size_t lenAvg = (lenLpfilt + lenHpfilt) / 2; //std::size_t N = 2 * cA.size(); const int U = 2; // Upsampling Factor // Operations in the Low Frequency branch of the Synthesis Filter Bank std::vector cAUp; std::vector xLp; per_ext(cA, int(lenAvg / 2)); upsamp(cA, U, cAUp); convfftm(cAUp, lpr1, xLp); // Operations in the High Frequency branch of the Synthesis Filter Bank std::vector cDUp; std::vector xHp; per_ext(cD, int(lenAvg / 2)); upsamp(cD, U, cDUp); convfftm(cDUp, hpr1, xHp); vecsum(xLp, xHp, x); // Remove periodic extension x.erase(x.begin(), x.begin() + lenAvg + lenAvg / 2 - 1); x.erase(x.end() - lenAvg - lenAvg / 2, x.end()); return nullptr; } void* branch_hp_dn(const std::string& wname, std::vector& signal, std::vector& sigop) { std::vector lpd, hpd, lpr, hpr; filtcoef(wname, lpd, hpd, lpr, hpr); //for (std::size_t i = 0; i < signal.size(); ++i) { // std::cout << signal[i] << std::endl; // out2 << signal[i] << std::endl; //} const std::size_t tempLen = signal.size(); if ((tempLen % 2) != 0) { const double temp = signal[tempLen - 1]; signal.push_back(temp); } const std::size_t lenLpfilt = lpd.size(); const std::size_t lenHpfilt = hpd.size(); const std::size_t lenAvg = (lenLpfilt + lenHpfilt) / 2; // std::cout << lenLpfilt << "Filter" << std::endl; per_ext(signal, int(lenAvg / 2)); // Periodic Extension // computations designed to deal with boundary distortions // Low Pass Filtering Operations in the Analysis Filter Bank Section // int len_cA =(int) floor(double (len_sig + lenLpfilt -1) / double (2)); std::vector cAUndec; // convolving signal with lpd, Low Pass Filter, and O/P is stored in cA_undec convfftm(signal, hpd, cAUndec); const int d = 2; // Downsampling Factor is 2 // Downsampling by 2 gives cA downsamp(cAUndec, d, sigop); sigop.erase(sigop.begin(), sigop.begin() + lenAvg / 2); sigop.erase(sigop.end() - lenAvg / 2, sigop.end()); return nullptr; } void* branch_lp_dn(const std::string& wname, std::vector& signal, std::vector& sigop) { std::vector lpd, hpd, lpr, hpr; filtcoef(wname, lpd, hpd, lpr, hpr); // for (std::size_t i = 0; i < signal.size(); ++i) { // std::cout << signal[i] << endl; // out2 << signal[i] < cAUndec; // convolving signal with lpd, Low Pass Filter, and O/P is stored in cA_undec convfftm(signal, lpd, cAUndec); const int d = 2; // Downsampling Factor is 2 // Downsampling by 2 gives cA downsamp(cAUndec, d, sigop); sigop.erase(sigop.begin(), sigop.begin() + lenAvg / 2); sigop.erase(sigop.end() - lenAvg / 2, sigop.end()); return nullptr; } void* idwt2(const std::string& name, std::vector>& signal, std::vector>& cLL, std::vector>& cLH, std::vector>& cHL, std::vector>& cHH) { // Synthesis const std::size_t rows = cLL.size(); const std::size_t cols = cLL[0].size(); const std::size_t nRows = 2 * rows; // Row Upsampling and Column Filtering at the first LP Stage std::vector> cL(nRows, std::vector(cols)); std::vector> cH(nRows, std::vector(cols)); for (std::size_t j = 0; j < cols; ++j) { std::vector sigLL; std::vector sigLH; for (std::size_t i = 0; i < rows; ++i) { double temp1 = cLL[i][j]; double temp2 = cLH[i][j]; sigLL.push_back(temp1); sigLH.push_back(temp2); } std::vector oup; branch_lp_hp_up(name, sigLL, sigLH, oup); sigLL.clear(); sigLH.clear(); for (std::size_t i = 0; i < oup.size(); ++i) { cL[i][j] = oup[i]; } } for (std::size_t j = 0; j < cols; ++j) { std::vector sigHL; std::vector sigHH; for (std::size_t i = 0; i < rows; ++i) { double temp3 = cHL[i][j]; double temp4 = cHH[i][j]; sigHL.push_back(temp3); sigHH.push_back(temp4); } std::vector oup2; branch_lp_hp_up(name, sigHL, sigHH, oup2); sigHL.clear(); sigHH.clear(); for (std::size_t i = 0; i < oup2.size(); ++i) { cH[i][j] = oup2[i]; } } for (std::size_t i = 0; i < nRows; ++i) { std::vector sigL; std::vector sigH; for (std::size_t j = 0; j < cols; ++j) { double temp5 = cL[i][j]; double temp6 = cH[i][j]; sigL.push_back(temp5); sigH.push_back(temp6); } std::vector oup3; branch_lp_hp_up(name, sigL, sigH, oup3); sigL.clear(); sigH.clear(); for (std::size_t j = 0; j < oup3.size(); ++j) { signal[i][j] = oup3[j]; } } return nullptr; } void* dwt2(const std::string& name, std::vector>& signal, std::vector>& cLL, std::vector>& cLH, std::vector>& cHL, std::vector>& cHH) { //Analysis const std::size_t rows = signal.size(); std::size_t cols = signal[0].size(); const std::size_t colsLp1 = cLL[0].size(); const std::size_t colsHp1 = cLL[0].size(); std::vector lp1, hp1, lp2, hp2; filtcoef(name, lp1, hp1, lp2, hp2); std::vector> lpDn1(rows, std::vector(colsLp1)); std::vector> hpDn1(rows, std::vector(colsHp1)); // Implementing row filtering and column downsampling in each branch. for (std::size_t i = 0; i < rows; ++i) { std::vector tempRow, oupLp, oupHp; for (std::size_t j = 0; j < cols; ++j) { double temp = signal[i][j]; tempRow.push_back(temp); } dwt1_m(name, tempRow, oupLp, oupHp); for (std::size_t j = 0; j < oupLp.size(); ++j) { lpDn1[i][j] = oupLp[j]; hpDn1[i][j] = oupHp[j]; } } cols = colsLp1; // Implementing column filtering and row downsampling in Low Pass branch. for (std::size_t j = 0; j < cols; ++j) { std::vector tempRow3, oupLp, oupHp; for (std::size_t i = 0; i < rows; ++i) { double temp = lpDn1[i][j]; tempRow3.push_back(temp); } dwt1_m(name, tempRow3, oupLp, oupHp); for (std::size_t i = 0; i < oupLp.size(); ++i) { cLL[i][j] = oupLp[i]; cLH[i][j] = oupHp[i]; } } // Implementing column filtering and row downsampling in High Pass branch. for (std::size_t j = 0; j < cols; ++j) { std::vector tempRow5, oupLp, oupHp; for (std::size_t i = 0; i < rows; ++i) { double temp = hpDn1[i][j]; tempRow5.push_back(temp); } dwt1_m(name, tempRow5, oupLp, oupHp); for (std::size_t i = 0; i < oupLp.size(); ++i) { cHL[i][j] = oupLp[i]; cHH[i][j] = oupHp[i]; } } return nullptr; } void* downsamp2(std::vector>& vec1, std::vector>& vec2, const int rowsDn, const int colsDn) { const std::size_t rows = vec1.size(); const std::size_t cols = vec1[0].size(); const std::size_t nRows = std::size_t(ceil(double(rows) / double(rowsDn))); const std::size_t nCols = std::size_t(ceil(double(cols) / double(colsDn))); for (std::size_t i = 0; i < nRows; ++i) { for (std::size_t j = 0; j < nCols; ++j) { vec2[i][j] = vec1[i * rowsDn][j * colsDn]; } } return nullptr; } void* upsamp2(std::vector>& vec1, std::vector>& vec2, const int rowsUp, const int colsUp) { const std::size_t rows = vec1.size(); const std::size_t cols = vec1[0].size(); const std::size_t nRows = rows * rowsUp; const std::size_t nCols = cols * colsUp; for (std::size_t i = 0; i < nRows; ++i) { for (std::size_t j = 0; j < nCols; ++j) { if (i % rowsUp == 0 && j % colsUp == 0) { vec2[i][j] = vec1[i / rowsUp][j / colsUp]; } else { vec2[i][j] = 0; } } } return nullptr; } int filtcoef(const std::string& name, std::vector& lp1, std::vector& hp1, std::vector& lp2, std::vector& hp2) { if (name == "haar" || name == "db1") { lp1.push_back(0.7071); lp1.push_back(0.7071); hp1.push_back(-0.7071); hp1.push_back(0.7071); lp2.push_back(0.7071); lp2.push_back(0.7071); hp2.push_back(0.7071); hp2.push_back(-0.7071); // std::cout << lp2[1] << std::endl; // hpd = {-0.7071, 0.7071}; // lpr = {0.7071, 0.7071}; // hpr = {0.7071, -0.7071}; return 0; } if (name == "db2") { lp1 = { -0.12940952255092145, 0.22414386804185735, 0.83651630373746899, 0.48296291314469025 }; hp1 = { -0.48296291314469025, 0.83651630373746899, -0.22414386804185735, -0.12940952255092145 }; lp2 = { 0.48296291314469025, 0.83651630373746899, 0.22414386804185735, -0.12940952255092145 }; hp2 = { -0.12940952255092145, -0.22414386804185735, 0.83651630373746899, -0.48296291314469025 }; return 0; } if (name == "db3") { lp1 = { 0.035226291882100656, -0.085441273882241486, -0.13501102001039084, 0.45987750211933132, 0.80689150931333875, 0.33267055295095688 }; hp1 = { -0.33267055295095688, 0.80689150931333875, -0.45987750211933132, -0.13501102001039084, 0.085441273882241486, 0.035226291882100656 }; lp2 = { 0.33267055295095688, 0.80689150931333875, 0.45987750211933132, -0.13501102001039084, -0.085441273882241486, 0.035226291882100656 }; hp2 = { 0.035226291882100656, 0.085441273882241486, -0.13501102001039084, -0.45987750211933132, 0.80689150931333875, -0.33267055295095688 }; return 0; } if (name == "db4") { lp1 = { -0.010597401784997278, 0.032883011666982945, 0.030841381835986965, -0.18703481171888114, -0.027983769416983849, 0.63088076792959036, 0.71484657055254153, 0.23037781330885523 }; hp1 = { -0.23037781330885523, 0.71484657055254153, -0.63088076792959036, -0.027983769416983849, 0.18703481171888114, 0.030841381835986965, -0.032883011666982945, -0.010597401784997278 }; lp2 = { 0.23037781330885523, 0.71484657055254153, 0.63088076792959036, -0.027983769416983849, -0.18703481171888114, 0.030841381835986965, 0.032883011666982945, -0.010597401784997278 }; hp2 = { -0.010597401784997278, -0.032883011666982945, 0.030841381835986965, 0.18703481171888114, -0.027983769416983849, -0.63088076792959036, 0.71484657055254153, -0.23037781330885523 }; return 0; } if (name == "db5") { lp1 = { 0.0033357252850015492, -0.012580751999015526, -0.0062414902130117052, 0.077571493840065148, -0.03224486958502952, -0.24229488706619015, 0.13842814590110342, 0.72430852843857441, 0.60382926979747287, 0.16010239797412501 }; hp1 = { -0.16010239797412501, 0.60382926979747287, -0.72430852843857441, 0.13842814590110342, 0.24229488706619015, -0.03224486958502952, -0.077571493840065148, -0.0062414902130117052, 0.012580751999015526, 0.0033357252850015492 }; lp2 = { 0.16010239797412501, 0.60382926979747287, 0.72430852843857441, 0.13842814590110342, -0.24229488706619015, -0.03224486958502952, 0.077571493840065148, -0.0062414902130117052, -0.012580751999015526, 0.0033357252850015492 }; hp2 = { 0.0033357252850015492, 0.012580751999015526, -0.0062414902130117052, -0.077571493840065148, -0.03224486958502952, 0.24229488706619015, 0.13842814590110342, -0.72430852843857441, 0.60382926979747287, -0.16010239797412501 }; return 0; } if (name == "db6") { lp1 = { -0.0010773010849955799, 0.0047772575110106514, 0.0005538422009938016, -0.031582039318031156, 0.027522865530016288, 0.097501605587079362, -0.12976686756709563, -0.22626469396516913, 0.3152503517092432, 0.75113390802157753, 0.49462389039838539, 0.11154074335008017 }; hp1 = { -0.11154074335008017, 0.49462389039838539, -0.75113390802157753, 0.3152503517092432, 0.22626469396516913, -0.12976686756709563, -0.097501605587079362, 0.027522865530016288, 0.031582039318031156, 0.0005538422009938016, -0.0047772575110106514, -0.0010773010849955799 }; lp2 = { 0.11154074335008017, 0.49462389039838539, 0.75113390802157753, 0.3152503517092432, -0.22626469396516913, -0.12976686756709563, 0.097501605587079362, 0.027522865530016288, -0.031582039318031156, 0.0005538422009938016, 0.0047772575110106514, -0.0010773010849955799 }; hp2 = { -0.0010773010849955799, -0.0047772575110106514, 0.0005538422009938016, 0.031582039318031156, 0.027522865530016288, -0.097501605587079362, -0.12976686756709563, 0.22626469396516913, 0.3152503517092432, -0.75113390802157753, 0.49462389039838539, -0.11154074335008017 }; return 0; } if (name == "db7") { lp1 = { 0.00035371380000103988, -0.0018016407039998328, 0.00042957797300470274, 0.012550998556013784, -0.01657454163101562, -0.038029936935034633, 0.080612609151065898, 0.071309219267050042, -0.22403618499416572, -0.14390600392910627, 0.4697822874053586, 0.72913209084655506, 0.39653931948230575, 0.077852054085062364 }; hp1 = { -0.077852054085062364, 0.39653931948230575, -0.72913209084655506, 0.4697822874053586, 0.14390600392910627, -0.22403618499416572, -0.071309219267050042, 0.080612609151065898, 0.038029936935034633, -0.01657454163101562, -0.012550998556013784, 0.0004295779730047027, 0.0018016407039998328, 0.00035371380000103988 }; lp2 = { 0.077852054085062364, 0.39653931948230575, 0.72913209084655506, 0.4697822874053586, -0.14390600392910627, -0.22403618499416572, 0.071309219267050042, 0.080612609151065898, -0.038029936935034633, -0.01657454163101562, 0.012550998556013784, 0.00042957797300470274, -0.0018016407039998328, 0.00035371380000103988 }; hp2 = { 0.00035371380000103988, 0.0018016407039998328, 0.00042957797300470274, -0.01255099855601378, -0.01657454163101562, 0.038029936935034633, 0.080612609151065898, -0.071309219267050042, -0.22403618499416572, 0.14390600392910627, 0.4697822874053586, -0.72913209084655506, 0.39653931948230575, -0.077852054085062364 }; return 0; } if (name == "db8") { lp1 = { -0.00011747678400228192, 0.00067544940599855677, -0.00039174037299597711, -0.0048703529930106603, 0.0087460940470156547, 0.013981027917015516, -0.044088253931064719, -0.017369301002022108, 0.12874742662018601, 0.00047248457399797254, -0.28401554296242809, -0.015829105256023893, 0.58535468365486909, 0.67563073629801285, 0.31287159091446592, 0.054415842243081609 }; hp1 = { -0.054415842243081609, 0.31287159091446592, -0.67563073629801285, 0.58535468365486909, 0.015829105256023893, -0.28401554296242809, -0.00047248457399797254, 0.12874742662018601, 0.017369301002022108, -0.044088253931064719, -0.013981027917015516, 0.0087460940470156547, 0.0048703529930106603, -0.00039174037299597711, -0.00067544940599855677, -0.00011747678400228192 }; lp2 = { 0.054415842243081609, 0.31287159091446592, 0.67563073629801285, 0.58535468365486909, -0.015829105256023893, -0.28401554296242809, 0.00047248457399797254, 0.12874742662018601, -0.017369301002022108, -0.044088253931064719, 0.013981027917015516, 0.0087460940470156547, -0.0048703529930106603, -0.00039174037299597711, 0.00067544940599855677, -0.00011747678400228192 }; hp2 = { -0.00011747678400228192, -0.00067544940599855677, -0.00039174037299597711, 0.0048703529930106603, 0.0087460940470156547, -0.013981027917015516, -0.044088253931064719, 0.017369301002022108, 0.12874742662018601, -0.00047248457399797254, -0.28401554296242809, 0.015829105256023893, 0.58535468365486909, -0.67563073629801285, 0.31287159091446592, -0.054415842243081609 }; return 0; } if (name == "db9") { lp1 = { 3.9347319995026124e-05, -0.00025196318899817888, 0.00023038576399541288, 0.0018476468829611268, -0.0042815036819047227, -0.004723204757894831, 0.022361662123515244, 0.00025094711499193845, -0.067632829059523988, 0.030725681478322865, 0.14854074933476008, -0.096840783220879037, -0.29327378327258685, 0.13319738582208895, 0.65728807803663891, 0.6048231236767786, 0.24383467463766728, 0.038077947363167282 }; hp1 = { -0.038077947363167282, 0.24383467463766728, -0.6048231236767786, 0.65728807803663891, -0.13319738582208895, -0.29327378327258685, 0.096840783220879037, 0.14854074933476008, -0.030725681478322865, -0.067632829059523988, -0.00025094711499193845, 0.022361662123515244, 0.004723204757894831, -0.0042815036819047227, -0.0018476468829611268, 0.00023038576399541288, 0.00025196318899817888, 3.9347319995026124e-05 }; lp2 = { 0.038077947363167282, 0.24383467463766728, 0.6048231236767786, 0.65728807803663891, 0.13319738582208895, -0.29327378327258685, -0.096840783220879037, 0.14854074933476008, 0.030725681478322865, -0.067632829059523988, 0.00025094711499193845, 0.022361662123515244, -0.004723204757894831, -0.0042815036819047227, 0.0018476468829611268, 0.00023038576399541288, -0.00025196318899817888, 3.9347319995026124e-05 }; hp2 = { 3.9347319995026124e-05, 0.00025196318899817888, 0.00023038576399541288, -0.0018476468829611268, -0.0042815036819047227, 0.004723204757894831, 0.022361662123515244, -0.00025094711499193845, -0.067632829059523988, -0.030725681478322865, 0.14854074933476008, 0.096840783220879037, -0.29327378327258685, -0.13319738582208895, 0.65728807803663891, -0.6048231236767786, 0.24383467463766728, -0.038077947363167282 }; return 0; } if (name == "db10") { lp1 = { -1.3264203002354869e-05, 9.3588670001089845e-05, -0.0001164668549943862, -0.00068585669500468248, 0.0019924052949908499, 0.0013953517469940798, -0.010733175482979604, 0.0036065535669883944, 0.033212674058933238, -0.029457536821945671, -0.071394147165860775, 0.093057364603806592, 0.12736934033574265, -0.19594627437659665, -0.24984642432648865, 0.28117234366042648, 0.68845903945259213, 0.52720118893091983, 0.18817680007762133, 0.026670057900950818 }; hp1 = { -0.026670057900950818, 0.18817680007762133, -0.52720118893091983, 0.68845903945259213, -0.28117234366042648, -0.24984642432648865, 0.19594627437659665, 0.12736934033574265, -0.093057364603806592, -0.071394147165860775, 0.029457536821945671, 0.033212674058933238, -0.0036065535669883944, -0.010733175482979604, -0.0013953517469940798, 0.0019924052949908499, 0.00068585669500468248, -0.0001164668549943862, -9.3588670001089845e-05, -1.3264203002354869e-05 }; lp2 = { 0.026670057900950818, 0.18817680007762133, 0.52720118893091983, 0.68845903945259213, 0.28117234366042648, -0.24984642432648865, -0.19594627437659665, 0.12736934033574265, 0.093057364603806592, -0.071394147165860775, -0.029457536821945671, 0.033212674058933238, 0.0036065535669883944, -0.010733175482979604, 0.0013953517469940798, 0.0019924052949908499, -0.00068585669500468248, -0.0001164668549943862, 9.3588670001089845e-05, -1.3264203002354869e-05 }; hp2 = { -1.3264203002354869e-05, -9.3588670001089845e-05, -0.0001164668549943862, 0.00068585669500468248, 0.0019924052949908499, -0.0013953517469940798, -0.010733175482979604, -0.0036065535669883944, 0.033212674058933238, 0.029457536821945671, -0.071394147165860775, -0.093057364603806592, 0.12736934033574265, 0.19594627437659665, -0.24984642432648865, -0.28117234366042648, 0.68845903945259213, -0.52720118893091983, 0.18817680007762133, -0.026670057900950818 }; return 0; } if (name == "db12") { lp1 = { -1.5290717580684923e-06, 1.2776952219379579e-05, -2.4241545757030318e-05, -8.8504109208203182e-05, 0.00038865306282092672, 6.5451282125215034e-06, -0.0021795036186277044, 0.0022486072409952287, 0.0067114990087955486, -0.012840825198299882, -0.01221864906974642, 0.041546277495087637, 0.010849130255828966, -0.09643212009649671, 0.0053595696743599965, 0.18247860592758275, -0.023779257256064865, -0.31617845375277914, -0.044763885653777619, 0.51588647842780067, 0.65719872257929113, 0.37735513521420411, 0.10956627282118277, 0.013112257957229239 }; hp1 = { -0.013112257957229239, 0.10956627282118277, -0.37735513521420411, 0.65719872257929113, -0.51588647842780067, -0.044763885653777619, 0.31617845375277914, -0.023779257256064865, -0.18247860592758275, 0.0053595696743599965, 0.09643212009649671, 0.010849130255828966, -0.041546277495087637, -0.01221864906974642, 0.012840825198299882, 0.0067114990087955486, -0.0022486072409952287, -0.0021795036186277044, -6.5451282125215034e-06, 0.00038865306282092672, 8.8504109208203182e-05, -2.4241545757030318e-05, -1.2776952219379579e-05, -1.5290717580684923e-06 }; lp2 = { 0.013112257957229239, 0.10956627282118277, 0.37735513521420411, 0.65719872257929113, 0.51588647842780067, -0.044763885653777619, -0.31617845375277914, -0.023779257256064865, 0.18247860592758275, 0.0053595696743599965, -0.09643212009649671, 0.010849130255828966, 0.041546277495087637, -0.01221864906974642, -0.012840825198299882, 0.0067114990087955486, 0.0022486072409952287, -0.0021795036186277044, 6.5451282125215034e-06, 0.00038865306282092672, -8.8504109208203182e-05, -2.4241545757030318e-05, 1.2776952219379579e-05, -1.5290717580684923e-06 }; hp2 = { -1.5290717580684923e-06, -1.2776952219379579e-05, -2.4241545757030318e-05, 8.8504109208203182e-05, 0.00038865306282092672, -6.5451282125215034e-06, -0.0021795036186277044, -0.0022486072409952287, 0.0067114990087955486, 0.012840825198299882, -0.01221864906974642, -0.041546277495087637, 0.010849130255828966, 0.09643212009649671, 0.0053595696743599965, -0.18247860592758275, -0.023779257256064865, 0.31617845375277914, -0.044763885653777619, -0.51588647842780067, 0.65719872257929113, -0.37735513521420411, 0.10956627282118277, -0.013112257957229239 }; return 0; } if (name == "db13") { lp1 = { 5.2200350984547998e-07, -4.7004164793608082e-06, 1.0441930571407941e-05, 3.0678537579324358e-05, -0.00016512898855650571, 4.9251525126285676e-05, 0.00093232613086724904, -0.0013156739118922766, -0.002761911234656831, 0.0072555894016171187, 0.0039239414487955773, -0.023831420710327809, 0.0023799722540522269, 0.056139477100276156, -0.026488406475345658, -0.10580761818792761, 0.072948933656788742, 0.17947607942935084, -0.12457673075080665, -0.31497290771138414, 0.086985726179645007, 0.58888957043121193, 0.61105585115878114, 0.31199632216043488, 0.082861243872901946, 0.0092021335389622788 }; hp1 = { -0.0092021335389622788, 0.082861243872901946, -0.31199632216043488, 0.61105585115878114, -0.58888957043121193, 0.086985726179645007, 0.31497290771138414, -0.12457673075080665, -0.17947607942935084, 0.072948933656788742, 0.10580761818792761, -0.026488406475345658, -0.056139477100276156, 0.0023799722540522269, 0.023831420710327809, 0.0039239414487955773, -0.0072555894016171187, -0.002761911234656831, 0.0013156739118922766, 0.00093232613086724904, -4.9251525126285676e-05, -0.00016512898855650571, -3.0678537579324358e-05, 1.0441930571407941e-05, 4.7004164793608082e-06, 5.2200350984547998e-07 }; lp2 = { 0.0092021335389622788, 0.082861243872901946, 0.31199632216043488, 0.61105585115878114, 0.58888957043121193, 0.086985726179645007, -0.31497290771138414, -0.12457673075080665, 0.17947607942935084, 0.072948933656788742, -0.10580761818792761, -0.026488406475345658, 0.056139477100276156, 0.0023799722540522269, -0.023831420710327809, 0.0039239414487955773, 0.0072555894016171187, -0.002761911234656831, -0.0013156739118922766, 0.00093232613086724904, 4.9251525126285676e-05, -0.00016512898855650571, 3.0678537579324358e-05, 1.0441930571407941e-05, -4.7004164793608082e-06, 5.2200350984547998e-07 }; hp2 = { 5.2200350984547998e-07, 4.7004164793608082e-06, 1.0441930571407941e-05, -3.0678537579324358e-05, -0.00016512898855650571, -4.9251525126285676e-05, 0.00093232613086724904, 0.0013156739118922766, -0.002761911234656831, -0.0072555894016171187, 0.0039239414487955773, 0.023831420710327809, 0.0023799722540522269, -0.056139477100276156, -0.026488406475345658, 0.10580761818792761, 0.072948933656788742, -0.17947607942935084, -0.12457673075080665, 0.31497290771138414, 0.086985726179645007, -0.58888957043121193, 0.61105585115878114, -0.31199632216043488, 0.082861243872901946, -0.0092021335389622788 }; return 0; } if (name == "db11") { lp1 = { 4.4942742772363519e-06, -3.4634984186983789e-05, 5.4439074699366381e-05, 0.00024915252355281426, -0.00089302325066623663, -0.00030859285881515924, 0.0049284176560587777, -0.0033408588730145018, -0.015364820906201324, 0.020840904360180039, 0.031335090219045313, -0.066438785695020222, -0.04647995511667613, 0.14981201246638268, 0.066043588196690886, -0.27423084681792875, -0.16227524502747828, 0.41196436894789695, 0.68568677491617847, 0.44989976435603013, 0.14406702115061959, 0.018694297761470441 }; hp1 = { -0.018694297761470441, 0.14406702115061959, -0.44989976435603013, 0.68568677491617847, -0.41196436894789695, -0.16227524502747828, 0.27423084681792875, 0.066043588196690886, -0.14981201246638268, -0.04647995511667613, 0.066438785695020222, 0.031335090219045313, -0.020840904360180039, -0.015364820906201324, 0.0033408588730145018, 0.0049284176560587777, 0.00030859285881515924, -0.00089302325066623663, -0.00024915252355281426, 5.4439074699366381e-05, 3.4634984186983789e-05, 4.4942742772363519e-06 }; lp2 = { 0.018694297761470441, 0.14406702115061959, 0.44989976435603013, 0.68568677491617847, 0.41196436894789695, -0.16227524502747828, -0.27423084681792875, 0.066043588196690886, 0.14981201246638268, -0.04647995511667613, -0.066438785695020222, 0.031335090219045313, 0.020840904360180039, -0.015364820906201324, -0.0033408588730145018, 0.0049284176560587777, -0.00030859285881515924, -0.00089302325066623663, 0.00024915252355281426, 5.4439074699366381e-05, -3.4634984186983789e-05, 4.4942742772363519e-06 }; hp2 = { 4.4942742772363519e-06, 3.4634984186983789e-05, 5.4439074699366381e-05, -0.00024915252355281426, -0.00089302325066623663, 0.00030859285881515924, 0.0049284176560587777, 0.0033408588730145018, -0.015364820906201324, -0.020840904360180039, 0.031335090219045313, 0.066438785695020222, -0.04647995511667613, -0.14981201246638268, 0.066043588196690886, 0.27423084681792875, -0.16227524502747828, -0.41196436894789695, 0.68568677491617847, -0.44989976435603013, 0.14406702115061959, -0.018694297761470441 }; return 0; } if (name == "db14") { lp1 = { -1.7871399683109222e-07, 1.7249946753674012e-06, -4.3897049017804176e-06, -1.0337209184568496e-05, 6.875504252695734e-05, -4.1777245770370672e-05, -0.00038683194731287514, 0.00070802115423540481, 0.001061691085606874, -0.003849638868019787, -0.00074621898926387534, 0.012789493266340071, -0.0056150495303375755, -0.030185351540353976, 0.026981408307947971, 0.05523712625925082, -0.071548955503983505, -0.086748411568110598, 0.13998901658445695, 0.13839521386479153, -0.21803352999321651, -0.27168855227867705, 0.21867068775886594, 0.63118784910471981, 0.55430561794077093, 0.25485026779256437, 0.062364758849384874, 0.0064611534600864905 }; hp1 = { -0.0064611534600864905, 0.062364758849384874, -0.25485026779256437, 0.55430561794077093, -0.63118784910471981, 0.21867068775886594, 0.27168855227867705, -0.21803352999321651, -0.13839521386479153, 0.13998901658445695, 0.086748411568110598, -0.071548955503983505, -0.05523712625925082, 0.026981408307947971, 0.030185351540353976, -0.0056150495303375755, -0.012789493266340071, -0.00074621898926387534, 0.003849638868019787, 0.001061691085606874, -0.00070802115423540481, -0.00038683194731287514, 4.1777245770370672e-05, 6.875504252695734e-05, 1.0337209184568496e-05, -4.3897049017804176e-06, -1.7249946753674012e-06, -1.7871399683109222e-07 }; lp2 = { 0.0064611534600864905, 0.062364758849384874, 0.25485026779256437, 0.55430561794077093, 0.63118784910471981, 0.21867068775886594, -0.27168855227867705, -0.21803352999321651, 0.13839521386479153, 0.13998901658445695, -0.086748411568110598, -0.071548955503983505, 0.05523712625925082, 0.026981408307947971, -0.030185351540353976, -0.0056150495303375755, 0.012789493266340071, -0.00074621898926387534, -0.003849638868019787, 0.001061691085606874, 0.00070802115423540481, -0.00038683194731287514, -4.1777245770370672e-05, 6.875504252695734e-05, -1.0337209184568496e-05, -4.3897049017804176e-06, 1.7249946753674012e-06, -1.7871399683109222e-07 }; hp2 = { -1.7871399683109222e-07, -1.7249946753674012e-06, -4.3897049017804176e-06, 1.0337209184568496e-05, 6.875504252695734e-05, 4.1777245770370672e-05, -0.00038683194731287514, -0.00070802115423540481, 0.001061691085606874, 0.003849638868019787, -0.00074621898926387534, -0.012789493266340071, -0.0056150495303375755, 0.030185351540353976, 0.026981408307947971, -0.05523712625925082, -0.071548955503983505, 0.086748411568110598, 0.13998901658445695, -0.13839521386479153, -0.21803352999321651, 0.27168855227867705, 0.21867068775886594, -0.63118784910471981, 0.55430561794077093, -0.25485026779256437, 0.062364758849384874, -0.0064611534600864905 }; return 0; } if (name == "db15") { lp1 = { 6.1333599133037138e-08, -6.3168823258794506e-07, 1.8112704079399406e-06, 3.3629871817363823e-06, -2.8133296266037558e-05, 2.579269915531323e-05, 0.00015589648992055726, -0.00035956524436229364, -0.00037348235413726472, 0.0019433239803823459, -0.00024175649075894543, -0.0064877345603061454, 0.0051010003604228726, 0.015083918027862582, -0.020810050169636805, -0.025767007328366939, 0.054780550584559995, 0.033877143923563204, -0.11112093603713753, -0.039666176555733602, 0.19014671400708816, 0.065282952848765688, -0.28888259656686216, -0.19320413960907623, 0.33900253545462167, 0.64581314035721027, 0.49263177170797529, 0.20602386398692688, 0.046743394892750617, 0.0045385373615773762 }; hp1 = { -0.0045385373615773762, 0.046743394892750617, -0.20602386398692688, 0.49263177170797529, -0.64581314035721027, 0.33900253545462167, 0.19320413960907623, -0.28888259656686216, -0.065282952848765688, 0.19014671400708816, 0.039666176555733602, -0.11112093603713753, -0.033877143923563204, 0.054780550584559995, 0.025767007328366939, -0.020810050169636805, -0.015083918027862582, 0.0051010003604228726, 0.0064877345603061454, -0.00024175649075894543, -0.0019433239803823459, -0.00037348235413726472, 0.00035956524436229364, 0.00015589648992055726, -2.579269915531323e-05, -2.8133296266037558e-05, -3.3629871817363823e-06, 1.8112704079399406e-06, 6.3168823258794506e-07, 6.1333599133037138e-08 }; lp2 = { 0.0045385373615773762, 0.046743394892750617, 0.20602386398692688, 0.49263177170797529, 0.64581314035721027, 0.33900253545462167, -0.19320413960907623, -0.28888259656686216, 0.065282952848765688, 0.19014671400708816, -0.039666176555733602, -0.11112093603713753, 0.033877143923563204, 0.054780550584559995, -0.025767007328366939, -0.020810050169636805, 0.015083918027862582, 0.0051010003604228726, -0.0064877345603061454, -0.00024175649075894543, 0.0019433239803823459, -0.00037348235413726472, -0.00035956524436229364, 0.00015589648992055726, 2.579269915531323e-05, -2.8133296266037558e-05, 3.3629871817363823e-06, 1.8112704079399406e-06, -6.3168823258794506e-07, 6.1333599133037138e-08 }; hp2 = { 6.1333599133037138e-08, 6.3168823258794506e-07, 1.8112704079399406e-06, -3.3629871817363823e-06, -2.8133296266037558e-05, -2.579269915531323e-05, 0.00015589648992055726, 0.00035956524436229364, -0.00037348235413726472, -0.0019433239803823459, -0.00024175649075894543, 0.0064877345603061454, 0.0051010003604228726, -0.015083918027862582, -0.020810050169636805, 0.025767007328366939, 0.054780550584559995, -0.033877143923563204, -0.11112093603713753, 0.039666176555733602, 0.19014671400708816, -0.065282952848765688, -0.28888259656686216, 0.19320413960907623, 0.33900253545462167, -0.64581314035721027, 0.49263177170797529, -0.20602386398692688, 0.046743394892750617, -0.0045385373615773762 }; return 0; } if (name == "bior1.1") { lp1 = { 0.70710678118654757, 0.70710678118654757 }; hp1 = { -0.70710678118654757, 0.70710678118654757 }; lp2 = { 0.70710678118654757, 0.70710678118654757 }; hp2 = { 0.70710678118654757, -0.70710678118654757 }; return 0; } if (name == "bior1.3") { lp1 = { -0.088388347648318447, 0.088388347648318447, 0.70710678118654757, 0.70710678118654757, 0.088388347648318447, -0.088388347648318447, }; hp1 = { 0.0, 0.0, -0.70710678118654757, 0.70710678118654757, 0.0, 0.0 }; lp2 = { 0.0, 0.0, 0.70710678118654757, 0.70710678118654757, 0.0, 0.0 }; hp2 = { -0.088388347648318447, -0.088388347648318447, 0.70710678118654757, -0.70710678118654757, 0.088388347648318447, 0.088388347648318447 }; return 0; } if (name == "bior1.5") { lp1 = { 0.01657281518405971, -0.01657281518405971, -0.12153397801643787, 0.12153397801643787, 0.70710678118654757, 0.70710678118654757, 0.12153397801643787, -0.12153397801643787, -0.01657281518405971, 0.01657281518405971 }; hp1 = { 0.0, 0.0, 0.0, 0.0, -0.70710678118654757, 0.70710678118654757, 0.0, 0.0, 0.0, 0.0 }; lp2 = { 0.0, 0.0, 0.0, 0.0, 0.70710678118654757, 0.70710678118654757, 0.0, 0.0, 0.0, 0.0 }; hp2 = { 0.01657281518405971, 0.01657281518405971, -0.12153397801643787, -0.12153397801643787, 0.70710678118654757, -0.70710678118654757, 0.12153397801643787, 0.12153397801643787, -0.01657281518405971, -0.01657281518405971 }; return 0; } if (name == "bior2.2") { lp1 = { 0.0, -0.17677669529663689, 0.35355339059327379, 1.0606601717798214, 0.35355339059327379, -0.17677669529663689 }; hp1 = { 0.0, 0.35355339059327379, -0.70710678118654757, 0.35355339059327379, 0.0, 0.0 }; lp2 = { 0.0, 0.35355339059327379, 0.70710678118654757, 0.35355339059327379, 0.0, 0.0 }; hp2 = { 0.0, 0.17677669529663689, 0.35355339059327379, -1.0606601717798214, 0.35355339059327379, 0.17677669529663689 }; return 0; } if (name == "bior2.4") { lp1 = { 0.0, 0.033145630368119419, -0.066291260736238838, -0.17677669529663689, 0.4198446513295126, 0.99436891104358249, 0.4198446513295126, -0.17677669529663689, -0.066291260736238838, 0.033145630368119419 }; hp1 = { 0.0, 0.0, 0.0, 0.35355339059327379, -0.70710678118654757, 0.35355339059327379, 0.0, 0.0, 0.0, 0.0 }; lp2 = { 0.0, 0.0, 0.0, 0.35355339059327379, 0.70710678118654757, 0.35355339059327379, 0.0, 0.0, 0.0, 0.0 }; hp2 = { 0.0, -0.033145630368119419, -0.066291260736238838, 0.17677669529663689, 0.4198446513295126, -0.99436891104358249, 0.4198446513295126, 0.17677669529663689, -0.066291260736238838, -0.033145630368119419 }; return 0; } if (name == "bior2.6") { lp1 = { 0.0, -0.0069053396600248784, 0.013810679320049757, 0.046956309688169176, -0.10772329869638811, -0.16987135563661201, 0.44746600996961211, 0.96674755240348298, 0.44746600996961211, -0.16987135563661201, -0.10772329869638811, 0.046956309688169176, 0.013810679320049757, -0.0069053396600248784 }; hp1 = { 0.0, 0.0, 0.0, 0.0, 0.0, 0.35355339059327379, -0.70710678118654757, 0.35355339059327379, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 }; lp2 = { 0.0, 0.0, 0.0, 0.0, 0.0, 0.35355339059327379, 0.70710678118654757, 0.35355339059327379, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 }; hp2 = { 0.0, 0.0069053396600248784, 0.013810679320049757, -0.046956309688169176, -0.10772329869638811, 0.16987135563661201, 0.44746600996961211, -0.96674755240348298, 0.44746600996961211, 0.16987135563661201, -0.10772329869638811, -0.046956309688169176, 0.013810679320049757, 0.0069053396600248784 }; return 0; } if (name == "bior2.8") { lp1 = { 0.0, 0.0015105430506304422, -0.0030210861012608843, -0.012947511862546647, 0.028916109826354178, 0.052998481890690945, -0.13491307360773608, -0.16382918343409025, 0.46257144047591658, 0.95164212189717856, 0.46257144047591658, -0.16382918343409025, -0.13491307360773608, 0.052998481890690945, 0.028916109826354178, -0.012947511862546647, -0.0030210861012608843, 0.0015105430506304422 }; hp1 = { 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.35355339059327379, -0.70710678118654757, 0.35355339059327379, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 }; lp2 = { 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.35355339059327379, 0.70710678118654757, 0.35355339059327379, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 }; hp2 = { 0.0, -0.0015105430506304422, -0.0030210861012608843, 0.012947511862546647, 0.028916109826354178, -0.052998481890690945, -0.13491307360773608, 0.16382918343409025, 0.46257144047591658, -0.95164212189717856, 0.46257144047591658, 0.16382918343409025, -0.13491307360773608, -0.052998481890690945, 0.028916109826354178, 0.012947511862546647, -0.0030210861012608843, -0.0015105430506304422 }; return 0; } if (name == "bior3.1") { lp1 = { -0.35355339059327379, 1.0606601717798214, 1.0606601717798214, -0.35355339059327379 }; hp1 = { -0.17677669529663689, 0.53033008588991071, -0.53033008588991071, 0.17677669529663689 }; lp2 = { 0.17677669529663689, 0.53033008588991071, 0.53033008588991071, 0.17677669529663689 }; hp2 = { -0.35355339059327379, -1.0606601717798214, 1.0606601717798214, 0.35355339059327379 }; return 0; } if (name == "bior3.3") { lp1 = { 0.066291260736238838, -0.19887378220871652, -0.15467960838455727, 0.99436891104358249, 0.99436891104358249, -0.15467960838455727, -0.19887378220871652, 0.066291260736238838 }; hp1 = { 0.0, 0.0, -0.17677669529663689, 0.53033008588991071, -0.53033008588991071, 0.17677669529663689, 0.0, 0.0 }; lp2 = { 0.0, 0.0, 0.17677669529663689, 0.53033008588991071, 0.53033008588991071, 0.17677669529663689, 0.0, 0.0 }; hp2 = { 0.066291260736238838, 0.19887378220871652, -0.15467960838455727, -0.99436891104358249, 0.99436891104358249, 0.15467960838455727, -0.19887378220871652, -0.066291260736238838 }; return 0; } if (name == "bior3.5") { lp1 = { -0.013810679320049757, 0.041432037960149271, 0.052480581416189075, -0.26792717880896527, -0.071815532464258744, 0.96674755240348298, 0.96674755240348298, -0.071815532464258744, -0.26792717880896527, 0.052480581416189075, 0.041432037960149271, -0.013810679320049757 }; hp1 = { 0.0, 0.0, 0.0, 0.0, -0.17677669529663689, 0.53033008588991071, -0.53033008588991071, 0.17677669529663689, 0.0, 0.0, 0.0, 0.0 }; lp2 = { 0.0, 0.0, 0.0, 0.0, 0.17677669529663689, 0.53033008588991071, 0.53033008588991071, 0.17677669529663689, 0.0, 0.0, 0.0, 0.0 }; hp2 = { -0.013810679320049757, -0.041432037960149271, 0.052480581416189075, 0.26792717880896527, -0.071815532464258744, -0.96674755240348298, 0.96674755240348298, 0.071815532464258744, -0.26792717880896527, -0.052480581416189075, 0.041432037960149271, 0.013810679320049757 }; return 0; } if (name == "bior3.7") { lp1 = { 0.0030210861012608843, -0.0090632583037826529, -0.016831765421310641, 0.074663985074019001, 0.031332978707362888, -0.301159125922835, -0.026499240945345472, 0.95164212189717856, 0.95164212189717856, -0.026499240945345472, -0.301159125922835, 0.031332978707362888, 0.074663985074019001, -0.016831765421310641, -0.0090632583037826529, 0.0030210861012608843 }; hp1 = { 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, -0.17677669529663689, 0.53033008588991071, -0.53033008588991071, 0.17677669529663689, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 }; lp2 = { 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.17677669529663689, 0.53033008588991071, 0.53033008588991071, 0.17677669529663689, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 }; hp2 = { 0.0030210861012608843, 0.0090632583037826529, -0.016831765421310641, -0.074663985074019001, 0.031332978707362888, 0.301159125922835, -0.026499240945345472, -0.95164212189717856, 0.95164212189717856, 0.026499240945345472, -0.301159125922835, -0.031332978707362888, 0.074663985074019001, 0.016831765421310641, -0.0090632583037826529, -0.0030210861012608843 }; return 0; } if (name == "bior3.9") { lp1 = { -0.00067974437278369901, 0.0020392331183510968, 0.0050603192196119811, -0.020618912641105536, -0.014112787930175846, 0.09913478249423216, 0.012300136269419315, -0.32019196836077857, 0.0020500227115698858, 0.94212570067820678, 0.94212570067820678, 0.0020500227115698858, -0.32019196836077857, 0.012300136269419315, 0.09913478249423216, -0.014112787930175846, -0.020618912641105536, 0.0050603192196119811, 0.0020392331183510968, -0.00067974437278369901 }; hp1 = { 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, -0.17677669529663689, 0.53033008588991071, -0.53033008588991071, 0.17677669529663689, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 }; lp2 = { 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.17677669529663689, 0.53033008588991071, 0.53033008588991071, 0.17677669529663689, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 }; hp2 = { -0.00067974437278369901, -0.0020392331183510968, 0.0050603192196119811, 0.020618912641105536, -0.014112787930175846, -0.09913478249423216, 0.012300136269419315, 0.32019196836077857, 0.0020500227115698858, -0.94212570067820678, 0.94212570067820678, -0.0020500227115698858, -0.32019196836077857, -0.012300136269419315, 0.09913478249423216, 0.014112787930175846, -0.020618912641105536, -0.0050603192196119811, 0.0020392331183510968, 0.00067974437278369901 }; return 0; } if (name == "bior4.4") { lp1 = { 0.0, 0.03782845550726404, -0.023849465019556843, -0.11062440441843718, 0.37740285561283066, 0.85269867900889385, 0.37740285561283066, -0.11062440441843718, -0.023849465019556843, 0.03782845550726404 }; hp1 = { 0.0, -0.064538882628697058, 0.040689417609164058, 0.41809227322161724, -0.7884856164055829, 0.41809227322161724, 0.040689417609164058, -0.064538882628697058, 0.0, 0.0 }; lp2 = { 0.0, -0.064538882628697058, -0.040689417609164058, 0.41809227322161724, 0.7884856164055829, 0.41809227322161724, -0.040689417609164058, -0.064538882628697058, 0.0, 0.0 }; hp2 = { 0.0, -0.03782845550726404, -0.023849465019556843, 0.11062440441843718, 0.37740285561283066, -0.85269867900889385, 0.37740285561283066, 0.11062440441843718, -0.023849465019556843, -0.03782845550726404 }; return 0; } if (name == "bior5.5") { lp1 = { 0.0, 0.0, 0.03968708834740544, 0.0079481086372403219, -0.054463788468236907, 0.34560528195603346, 0.73666018142821055, 0.34560528195603346, -0.054463788468236907, 0.0079481086372403219, 0.03968708834740544, 0.0 }; hp1 = { -0.013456709459118716, -0.0026949668801115071, 0.13670658466432914, -0.093504697400938863, -0.47680326579848425, 0.89950610974864842, -0.47680326579848425, -0.093504697400938863, 0.13670658466432914, -0.0026949668801115071, -0.013456709459118716, 0.0 }; lp2 = { 0.013456709459118716, -0.0026949668801115071, -0.13670658466432914, -0.093504697400938863, 0.47680326579848425, 0.89950610974864842, 0.47680326579848425, -0.093504697400938863, -0.13670658466432914, -0.0026949668801115071, 0.013456709459118716, 0.0 }; hp2 = { 0.0, 0.0, 0.03968708834740544, -0.0079481086372403219, -0.054463788468236907, -0.34560528195603346, 0.73666018142821055, -0.34560528195603346, -0.054463788468236907, -0.0079481086372403219, 0.03968708834740544, 0.0 }; return 0; } if (name == "bior6.8") { lp1 = { 0.0, 0.0019088317364812906, -0.0019142861290887667, -0.016990639867602342, 0.01193456527972926, 0.04973290349094079, -0.077263173167204144, -0.09405920349573646, 0.42079628460982682, 0.82592299745840225, 0.42079628460982682, -0.09405920349573646, -0.077263173167204144, 0.04973290349094079, 0.01193456527972926, -0.016990639867602342, -0.0019142861290887667, 0.0019088317364812906 }; hp1 = { 0.0, 0.0, 0.0, 0.014426282505624435, -0.014467504896790148, -0.078722001062628819, 0.040367979030339923, 0.41784910915027457, -0.75890772945365415, 0.41784910915027457, 0.040367979030339923, -0.078722001062628819, -0.014467504896790148, 0.014426282505624435, 0.0, 0.0, 0.0, 0.0 }; lp2 = { 0.0, 0.0, 0.0, 0.014426282505624435, 0.014467504896790148, -0.078722001062628819, -0.040367979030339923, 0.41784910915027457, 0.75890772945365415, 0.41784910915027457, -0.040367979030339923, -0.078722001062628819, 0.014467504896790148, 0.014426282505624435, 0.0, 0.0, 0.0, 0.0 }; hp2 = { 0.0, -0.0019088317364812906, -0.0019142861290887667, 0.016990639867602342, 0.01193456527972926, -0.04973290349094079, -0.077263173167204144, 0.09405920349573646, 0.42079628460982682, -0.82592299745840225, 0.42079628460982682, 0.09405920349573646, -0.077263173167204144, -0.04973290349094079, 0.01193456527972926, 0.016990639867602342, -0.0019142861290887667, -0.0019088317364812906 }; return 0; } if (name == "coif1") { lp1 = { -0.01565572813546454, -0.072732619512853897, 0.38486484686420286, 0.85257202021225542, 0.33789766245780922, -0.072732619512853897 }; hp1 = { 0.072732619512853897, 0.33789766245780922, -0.85257202021225542, 0.38486484686420286, 0.072732619512853897, -0.01565572813546454 }; lp2 = { -0.072732619512853897, 0.33789766245780922, 0.85257202021225542, 0.38486484686420286, -0.072732619512853897, -0.01565572813546454 }; hp2 = { -0.01565572813546454, 0.072732619512853897, 0.38486484686420286, -0.85257202021225542, 0.33789766245780922, 0.072732619512853897 }; return 0; } if (name == "coif2") { lp1 = { -0.00072054944536451221, -0.0018232088707029932, 0.0056114348193944995, 0.023680171946334084, -0.059434418646456898, -0.076488599078306393, 0.41700518442169254, 0.81272363544554227, 0.38611006682116222, -0.067372554721963018, -0.041464936781759151, 0.016387336463522112 }; hp1 = { -0.016387336463522112, -0.041464936781759151, 0.067372554721963018, 0.38611006682116222, -0.81272363544554227, 0.41700518442169254, 0.076488599078306393, -0.059434418646456898, -0.023680171946334084, 0.0056114348193944995, 0.0018232088707029932, -0.00072054944536451221 }; lp2 = { 0.016387336463522112, -0.041464936781759151, -0.067372554721963018, 0.38611006682116222, 0.81272363544554227, 0.41700518442169254, -0.076488599078306393, -0.059434418646456898, 0.023680171946334084, 0.0056114348193944995, -0.0018232088707029932, -0.00072054944536451221 }; hp2 = { -0.00072054944536451221, 0.0018232088707029932, 0.0056114348193944995, -0.023680171946334084, -0.059434418646456898, 0.076488599078306393, 0.41700518442169254, -0.81272363544554227, 0.38611006682116222, 0.067372554721963018, -0.041464936781759151, -0.016387336463522112 }; return 0; } if (name == "coif3") { lp1 = { -3.4599772836212559e-05, -7.0983303138141252e-05, 0.00046621696011288631, 0.0011175187708906016, -0.0025745176887502236, -0.0090079761366615805, 0.015880544863615904, 0.034555027573061628, -0.082301927106885983, -0.071799821619312018, 0.42848347637761874, 0.79377722262562056, 0.4051769024096169, -0.061123390002672869, -0.0657719112818555, 0.023452696141836267, 0.0077825964273254182, -0.0037935128644910141 }; hp1 = { 0.0037935128644910141, 0.0077825964273254182, -0.023452696141836267, -0.0657719112818555, 0.061123390002672869, 0.4051769024096169, -0.79377722262562056, 0.42848347637761874, 0.071799821619312018, -0.082301927106885983, -0.034555027573061628, 0.015880544863615904, 0.0090079761366615805, -0.0025745176887502236, -0.0011175187708906016, 0.00046621696011288631, 7.0983303138141252e-05, -3.4599772836212559e-05 }; lp2 = { -0.0037935128644910141, 0.0077825964273254182, 0.023452696141836267, -0.0657719112818555, -0.061123390002672869, 0.4051769024096169, 0.79377722262562056, 0.42848347637761874, -0.071799821619312018, -0.082301927106885983, 0.034555027573061628, 0.015880544863615904, -0.0090079761366615805, -0.0025745176887502236, 0.0011175187708906016, 0.00046621696011288631, -7.0983303138141252e-05, -3.4599772836212559e-05 }; hp2 = { -3.4599772836212559e-05, 7.0983303138141252e-05, 0.00046621696011288631, -0.0011175187708906016, -0.0025745176887502236, 0.0090079761366615805, 0.015880544863615904, -0.034555027573061628, -0.082301927106885983, 0.071799821619312018, 0.42848347637761874, -0.79377722262562056, 0.4051769024096169, 0.061123390002672869, -0.0657719112818555, -0.023452696141836267, 0.0077825964273254182, 0.0037935128644910141 }; return 0; } if (name == "coif4") { lp1 = { -1.7849850030882614e-06, -3.2596802368833675e-06, 3.1229875865345646e-05, 6.2339034461007128e-05, -0.00025997455248771324, -0.00058902075624433831, 0.0012665619292989445, 0.0037514361572784571, -0.0056582866866107199, -0.015211731527946259, 0.025082261844864097, 0.039334427123337491, -0.096220442033987982, -0.066627474263425038, 0.4343860564914685, 0.78223893092049901, 0.41530840703043026, -0.056077313316754807, -0.081266699680878754, 0.026682300156053072, 0.016068943964776348, -0.0073461663276420935, -0.0016294920126017326, 0.00089231366858231456 }; hp1 = { -0.00089231366858231456, -0.0016294920126017326, 0.0073461663276420935, 0.016068943964776348, -0.026682300156053072, -0.081266699680878754, 0.056077313316754807, 0.41530840703043026, -0.78223893092049901, 0.4343860564914685, 0.066627474263425038, -0.096220442033987982, -0.039334427123337491, 0.025082261844864097, 0.015211731527946259, -0.0056582866866107199, -0.0037514361572784571, 0.0012665619292989445, 0.00058902075624433831, -0.00025997455248771324, -6.2339034461007128e-05, 3.1229875865345646e-05, 3.2596802368833675e-06, -1.7849850030882614e-06 }; lp2 = { 0.00089231366858231456, -0.0016294920126017326, -0.0073461663276420935, 0.016068943964776348, 0.026682300156053072, -0.081266699680878754, -0.056077313316754807, 0.41530840703043026, 0.78223893092049901, 0.4343860564914685, -0.066627474263425038, -0.096220442033987982, 0.039334427123337491, 0.025082261844864097, -0.015211731527946259, -0.0056582866866107199, 0.0037514361572784571, 0.0012665619292989445, -0.00058902075624433831, -0.00025997455248771324, 6.2339034461007128e-05, 3.1229875865345646e-05, -3.2596802368833675e-06, -1.7849850030882614e-06 }; hp2 = { -1.7849850030882614e-06, 3.2596802368833675e-06, 3.1229875865345646e-05, -6.2339034461007128e-05, -0.00025997455248771324, 0.00058902075624433831, 0.0012665619292989445, -0.0037514361572784571, -0.0056582866866107199, 0.015211731527946259, 0.025082261844864097, -0.039334427123337491, -0.096220442033987982, 0.066627474263425038, 0.4343860564914685, -0.78223893092049901, 0.41530840703043026, 0.056077313316754807, -0.081266699680878754, -0.026682300156053072, 0.016068943964776348, 0.0073461663276420935, -0.0016294920126017326, -0.00089231366858231456 }; return 0; } if (name == "coif5") { lp1 = { -9.517657273819165e-08, -1.6744288576823017e-07, 2.0637618513646814e-06, 3.7346551751414047e-06, -2.1315026809955787e-05, -4.1340432272512511e-05, 0.00014054114970203437, 0.00030225958181306315, -0.00063813134304511142, -0.0016628637020130838, 0.0024333732126576722, 0.0067641854480530832, -0.0091642311624818458, -0.019761778942572639, 0.032683574267111833, 0.041289208750181702, -0.10557420870333893, -0.062035963962903569, 0.43799162617183712, 0.77428960365295618, 0.42156620669085149, -0.052043163176243773, -0.091920010559696244, 0.02816802897093635, 0.023408156785839195, -0.010131117519849788, -0.004159358781386048, 0.0021782363581090178, 0.00035858968789573785, -0.00021208083980379827 }; hp1 = { 0.00021208083980379827, 0.00035858968789573785, -0.0021782363581090178, -0.004159358781386048, 0.010131117519849788, 0.023408156785839195, -0.02816802897093635, -0.091920010559696244, 0.052043163176243773, 0.42156620669085149, -0.77428960365295618, 0.43799162617183712, 0.062035963962903569, -0.10557420870333893, -0.041289208750181702, 0.032683574267111833, 0.019761778942572639, -0.0091642311624818458, -0.0067641854480530832, 0.0024333732126576722, 0.0016628637020130838, -0.00063813134304511142, -0.00030225958181306315, 0.00014054114970203437, 4.1340432272512511e-05, -2.1315026809955787e-05, -3.7346551751414047e-06, 2.0637618513646814e-06, 1.6744288576823017e-07, -9.517657273819165e-08 }; lp2 = { -0.00021208083980379827, 0.00035858968789573785, 0.0021782363581090178, -0.004159358781386048, -0.010131117519849788, 0.023408156785839195, 0.02816802897093635, -0.091920010559696244, -0.052043163176243773, 0.42156620669085149, 0.77428960365295618, 0.43799162617183712, -0.062035963962903569, -0.10557420870333893, 0.041289208750181702, 0.032683574267111833, -0.019761778942572639, -0.0091642311624818458, 0.0067641854480530832, 0.0024333732126576722, -0.0016628637020130838, -0.00063813134304511142, 0.00030225958181306315, 0.00014054114970203437, -4.1340432272512511e-05, -2.1315026809955787e-05, 3.7346551751414047e-06, 2.0637618513646814e-06, -1.6744288576823017e-07, -9.517657273819165e-08 }; hp2 = { -9.517657273819165e-08, 1.6744288576823017e-07, 2.0637618513646814e-06, -3.7346551751414047e-06, -2.1315026809955787e-05, 4.1340432272512511e-05, 0.00014054114970203437, -0.00030225958181306315, -0.00063813134304511142, 0.0016628637020130838, 0.0024333732126576722, -0.0067641854480530832, -0.0091642311624818458, 0.019761778942572639, 0.032683574267111833, -0.041289208750181702, -0.10557420870333893, 0.062035963962903569, 0.43799162617183712, -0.77428960365295618, 0.42156620669085149, 0.052043163176243773, -0.091920010559696244, -0.02816802897093635, 0.023408156785839195, 0.010131117519849788, -0.004159358781386048, -0.0021782363581090178, 0.00035858968789573785, 0.00021208083980379827 }; return 0; } if (name == "sym2") { lp1 = { -0.12940952255092145, 0.22414386804185735, 0.83651630373746899, 0.48296291314469025 }; hp1 = { -0.48296291314469025, 0.83651630373746899, -0.22414386804185735, -0.12940952255092145 }; lp2 = { 0.48296291314469025, 0.83651630373746899, 0.22414386804185735, -0.12940952255092145 }; hp2 = { -0.12940952255092145, -0.22414386804185735, 0.83651630373746899, -0.48296291314469025 }; return 0; } if (name == "sym3") { lp1 = { 0.035226291882100656, -0.085441273882241486, -0.13501102001039084, 0.45987750211933132, 0.80689150931333875, 0.33267055295095688 }; hp1 = { -0.33267055295095688, 0.80689150931333875, -0.45987750211933132, -0.13501102001039084, 0.085441273882241486, 0.035226291882100656 }; lp2 = { 0.33267055295095688, 0.80689150931333875, 0.45987750211933132, -0.13501102001039084, -0.085441273882241486, 0.035226291882100656 }; hp2 = { 0.035226291882100656, 0.085441273882241486, -0.13501102001039084, -0.45987750211933132, 0.80689150931333875, -0.33267055295095688 }; return 0; } if (name == "sym4") { lp1 = { -0.075765714789273325, -0.02963552764599851, 0.49761866763201545, 0.80373875180591614, 0.29785779560527736, -0.099219543576847216, -0.012603967262037833, 0.032223100604042702 }; hp1 = { -0.032223100604042702, -0.012603967262037833, 0.099219543576847216, 0.29785779560527736, -0.80373875180591614, 0.49761866763201545, 0.02963552764599851, -0.075765714789273325 }; lp2 = { 0.032223100604042702, -0.012603967262037833, -0.099219543576847216, 0.29785779560527736, 0.80373875180591614, 0.49761866763201545, -0.02963552764599851, -0.075765714789273325 }; hp2 = { -0.075765714789273325, 0.02963552764599851, 0.49761866763201545, -0.80373875180591614, 0.29785779560527736, 0.099219543576847216, -0.012603967262037833, -0.032223100604042702 }; return 0; } if (name == "sym5") { lp1 = { 0.027333068345077982, 0.029519490925774643, -0.039134249302383094, 0.1993975339773936, 0.72340769040242059, 0.63397896345821192, 0.016602105764522319, -0.17532808990845047, -0.021101834024758855, 0.019538882735286728 }; hp1 = { -0.019538882735286728, -0.021101834024758855, 0.17532808990845047, 0.016602105764522319, -0.63397896345821192, 0.72340769040242059, -0.1993975339773936, -0.039134249302383094, -0.029519490925774643, 0.027333068345077982 }; lp2 = { 0.019538882735286728, -0.021101834024758855, -0.17532808990845047, 0.016602105764522319, 0.63397896345821192, 0.72340769040242059, 0.1993975339773936, -0.039134249302383094, 0.029519490925774643, 0.027333068345077982 }; hp2 = { 0.027333068345077982, -0.029519490925774643, -0.039134249302383094, -0.1993975339773936, 0.72340769040242059, -0.63397896345821192, 0.016602105764522319, 0.17532808990845047, -0.021101834024758855, -0.019538882735286728 }; return 0; } if (name == "sym6") { lp1 = { 0.015404109327027373, 0.0034907120842174702, -0.11799011114819057, -0.048311742585632998, 0.49105594192674662, 0.787641141030194, 0.3379294217276218, -0.072637522786462516, -0.021060292512300564, 0.044724901770665779, 0.0017677118642428036, -0.007800708325034148 }; hp1 = { 0.007800708325034148, 0.0017677118642428036, -0.044724901770665779, -0.021060292512300564, 0.072637522786462516, 0.3379294217276218, -0.787641141030194, 0.49105594192674662, 0.048311742585632998, -0.11799011114819057, -0.0034907120842174702, 0.015404109327027373 }; lp2 = { -0.007800708325034148, 0.0017677118642428036, 0.044724901770665779, -0.021060292512300564, -0.072637522786462516, 0.3379294217276218, 0.787641141030194, 0.49105594192674662, -0.048311742585632998, -0.11799011114819057, 0.0034907120842174702, 0.015404109327027373 }; hp2 = { 0.015404109327027373, -0.0034907120842174702, -0.11799011114819057, 0.048311742585632998, 0.49105594192674662, -0.787641141030194, 0.3379294217276218, 0.072637522786462516, -0.021060292512300564, -0.044724901770665779, 0.0017677118642428036, 0.007800708325034148 }; return 0; } if (name == "sym7") { lp1 = { 0.0026818145682578781, -0.0010473848886829163, -0.01263630340325193, 0.03051551316596357, 0.067892693501372697, -0.049552834937127255, 0.017441255086855827, 0.5361019170917628, 0.76776431700316405, 0.28862963175151463, -0.14004724044296152, -0.10780823770381774, 0.0040102448715336634, 0.010268176708511255 }; hp1 = { -0.010268176708511255, 0.0040102448715336634, 0.10780823770381774, -0.14004724044296152, -0.28862963175151463, 0.76776431700316405, -0.5361019170917628, 0.017441255086855827, 0.049552834937127255, 0.067892693501372697, -0.03051551316596357, -0.01263630340325193, 0.0010473848886829163, 0.0026818145682578781 }; lp2 = { 0.010268176708511255, 0.0040102448715336634, -0.10780823770381774, -0.14004724044296152, 0.28862963175151463, 0.76776431700316405, 0.5361019170917628, 0.017441255086855827, -0.049552834937127255, 0.067892693501372697, 0.03051551316596357, -0.01263630340325193, -0.0010473848886829163, 0.0026818145682578781 }; hp2 = { 0.0026818145682578781, 0.0010473848886829163, -0.01263630340325193, -0.03051551316596357, 0.067892693501372697, 0.049552834937127255, 0.017441255086855827, -0.5361019170917628, 0.76776431700316405, -0.28862963175151463, -0.14004724044296152, 0.10780823770381774, 0.0040102448715336634, -0.010268176708511255 }; return 0; } if (name == "sym8") { lp1 = { -0.0033824159510061256, -0.00054213233179114812, 0.031695087811492981, 0.0076074873249176054, -0.14329423835080971, -0.061273359067658524, 0.48135965125837221, 0.77718575170052351, 0.3644418948353314, -0.051945838107709037, -0.027219029917056003, 0.049137179673607506, 0.0038087520138906151, -0.014952258337048231, -0.0003029205147213668, 0.0018899503327594609 }; hp1 = { -0.0018899503327594609, -0.0003029205147213668, 0.014952258337048231, 0.0038087520138906151, -0.049137179673607506, -0.027219029917056003, 0.051945838107709037, 0.3644418948353314, -0.77718575170052351, 0.48135965125837221, 0.061273359067658524, -0.14329423835080971, -0.0076074873249176054, 0.031695087811492981, 0.00054213233179114812, -0.0033824159510061256 }; lp2 = { 0.0018899503327594609, -0.0003029205147213668, -0.014952258337048231, 0.0038087520138906151, 0.049137179673607506, -0.027219029917056003, -0.051945838107709037, 0.3644418948353314, 0.77718575170052351, 0.48135965125837221, -0.061273359067658524, -0.14329423835080971, 0.0076074873249176054, 0.031695087811492981, -0.00054213233179114812, -0.0033824159510061256 }; hp2 = { -0.0033824159510061256, 0.00054213233179114812, 0.031695087811492981, -0.0076074873249176054, -0.14329423835080971, 0.061273359067658524, 0.48135965125837221, -0.77718575170052351, 0.3644418948353314, 0.051945838107709037, -0.027219029917056003, -0.049137179673607506, 0.0038087520138906151, 0.014952258337048231, -0.0003029205147213668, -0.0018899503327594609 }; return 0; } if (name == "sym9") { lp1 = { 0.0014009155259146807, 0.00061978088898558676, -0.013271967781817119, -0.01152821020767923, 0.03022487885827568, 0.00058346274612580684, -0.054568958430834071, 0.238760914607303, 0.717897082764412, 0.61733844914093583, 0.035272488035271894, -0.19155083129728512, -0.018233770779395985, 0.06207778930288603, 0.0088592674934004842, -0.010264064027633142, -0.00047315449868008311, 0.0010694900329086053 }; hp1 = { -0.0010694900329086053, -0.00047315449868008311, 0.010264064027633142, 0.0088592674934004842, -0.06207778930288603, -0.018233770779395985, 0.19155083129728512, 0.035272488035271894, -0.61733844914093583, 0.717897082764412, -0.238760914607303, -0.054568958430834071, -0.00058346274612580684, 0.03022487885827568, 0.01152821020767923, -0.013271967781817119, -0.00061978088898558676, 0.0014009155259146807 }; lp2 = { 0.0010694900329086053, -0.00047315449868008311, -0.010264064027633142, 0.0088592674934004842, 0.06207778930288603, -0.018233770779395985, -0.19155083129728512, 0.035272488035271894, 0.61733844914093583, 0.717897082764412, 0.238760914607303, -0.054568958430834071, 0.00058346274612580684, 0.03022487885827568, -0.01152821020767923, -0.013271967781817119, 0.00061978088898558676, 0.0014009155259146807 }; hp2 = { 0.0014009155259146807, -0.00061978088898558676, -0.013271967781817119, 0.01152821020767923, 0.03022487885827568, -0.00058346274612580684, -0.054568958430834071, -0.238760914607303, 0.717897082764412, -0.61733844914093583, 0.035272488035271894, 0.19155083129728512, -0.018233770779395985, -0.06207778930288603, 0.0088592674934004842, 0.010264064027633142, -0.00047315449868008311, -0.0010694900329086053 }; return 0; } if (name == "sym10") { lp1 = { 0.00077015980911449011, 9.5632670722894754e-05, -0.0086412992770224222, -0.0014653825813050513, 0.045927239231092203, 0.011609893903711381, -0.15949427888491757, -0.070880535783243853, 0.47169066693843925, 0.7695100370211071, 0.38382676106708546, -0.035536740473817552, -0.0319900568824278, 0.049994972077376687, 0.0057649120335819086, -0.02035493981231129, -0.00080435893201654491, 0.0045931735853118284, 5.7036083618494284e-05, -0.00045932942100465878 }; hp1 = { 0.00045932942100465878, 5.7036083618494284e-05, -0.0045931735853118284, -0.00080435893201654491, 0.02035493981231129, 0.0057649120335819086, -0.049994972077376687, -0.0319900568824278, 0.035536740473817552, 0.38382676106708546, -0.7695100370211071, 0.47169066693843925, 0.070880535783243853, -0.15949427888491757, -0.011609893903711381, 0.045927239231092203, 0.0014653825813050513, -0.0086412992770224222, -9.5632670722894754e-05, 0.00077015980911449011 }; lp2 = { -0.00045932942100465878, 5.7036083618494284e-05, 0.0045931735853118284, -0.00080435893201654491, -0.02035493981231129, 0.0057649120335819086, 0.049994972077376687, -0.0319900568824278, -0.035536740473817552, 0.38382676106708546, 0.7695100370211071, 0.47169066693843925, -0.070880535783243853, -0.15949427888491757, 0.011609893903711381, 0.045927239231092203, -0.0014653825813050513, -0.0086412992770224222, 9.5632670722894754e-05, 0.00077015980911449011 }; hp2 = { 0.00077015980911449011, -9.5632670722894754e-05, -0.0086412992770224222, 0.0014653825813050513, 0.045927239231092203, -0.011609893903711381, -0.15949427888491757, 0.070880535783243853, 0.47169066693843925, -0.7695100370211071, 0.38382676106708546, 0.035536740473817552, -0.0319900568824278, -0.049994972077376687, 0.0057649120335819086, 0.02035493981231129, -0.00080435893201654491, -0.0045931735853118284, 5.7036083618494284e-05, 0.00045932942100465878 }; return 0; } std::cout << "Filter Not in Database" << std::endl; return -1; } #endif