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/*
* Copyright (c) 2009, Michael Lehn * * All rights reserved. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions * are met: * * 1) Redistributions of source code must retain the above copyright * notice, this list of conditions and the following disclaimer. * 2) Redistributions in binary form must reproduce the above copyright * notice, this list of conditions and the following disclaimer in * the documentation and/or other materials provided with the * distribution. * 3) Neither the name of the FLENS development group nor the names of * its contributors may be used to endorse or promote products derived * from this software without specific prior written permission. * * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR * A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT * OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT * LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. */ #ifndef CXXBLAS_LEVEL1_ROT_TCC #define CXXBLAS_LEVEL1_ROT_TCC 1 #include <cmath> #include <cxxblas/cxxblas.h> namespace cxxblas { template <typename IndexType, typename X, typename Y, typename T> void rot_generic(IndexType n, X *x, IndexType incX, Y *y, IndexType incY, T c, T s) { CXXBLAS_DEBUG_OUT("rot_generic"); for (IndexType i=0, iX=0, iY=0; i<n; ++i, iX+=incX, iY+=incY) { X _x = c*x[iX] + s*y[iY]; Y _y = -s*x[iX] + c*y[iY]; x[iX] = _x; y[iY] = _y; } } template <typename IndexType, typename X, typename Y, typename T> void rot(IndexType n, X *x, IndexType incX, Y *y, IndexType incY, T c, T s) { if (incX<0) { x -= incX*(n-1); } if (incY<0) { y -= incY*(n-1); } rot_generic(n, x, incX, y, incY, c, s); } template <typename A, typename B, typename T> void rotg(A &a, B &b, T &c, T &s) { CXXBLAS_DEBUG_OUT("rotg (generic)"); using std::abs; using std::sqrt; A absA = abs(a); B absB = abs(b); T scale = absA + absB; T roe = (absA > absB) ? a : b; if (scale==0) { c = 1; s = 0; a = 0; b = 0; return; } A aScaled = absA / scale; B bScaled = absB / scale; T r = scale*sqrt(aScaled*aScaled + bScaled*bScaled); if (roe<0) { r = -r; } c = a / r; s = b / r; B z = 1; if (absA > absB) { z = s; } if ((absA < absB) && (c != 0)) { z = T(1)/c; } a = r; b = z; } template <typename TA, typename TB, typename T> void rotg(std::complex<TA> &a, std::complex<TB> &b, T &c, std::complex<T> &s) { using std::abs; using std::sqrt; using std::pow; std::complex<T> alpha; T norm, scale; if (abs(a)==TA(0)) { c = 0; s = std::complex<T>(1,0); a = b; } else { scale = abs(a) + abs(b); norm = scale*sqrt(pow(abs(a/scale),2) + pow(abs(b/scale),2)); alpha = a / abs(a); c = abs(a) / norm; s = alpha*conjugate(b)/norm; a = alpha*norm; } } #ifdef HAVE_CBLAS // srot template <typename IndexType> typename If<IndexType>::isBlasCompatibleInteger rot(IndexType n, float *x, IndexType incX, float *y, IndexType incY, float c, float s) { CXXBLAS_DEBUG_OUT("[" BLAS_IMPL "] cblas_srot"); cblas_srot(n, x, incX, y, incY, c, s); } // drot template <typename IndexType> typename If<IndexType>::isBlasCompatibleInteger rot(IndexType n, double *x, IndexType incX, double *y, IndexType incY, double c, double s) { CXXBLAS_DEBUG_OUT("[" BLAS_IMPL "] cblas_drot"); cblas_drot(n, x, incX, y, incY, c, s); } // srotg template <typename IndexType> typename If<IndexType>::isBlasCompatibleInteger rotg(float &a, float &b, float &c, float &s) { CXXBLAS_DEBUG_OUT("[" BLAS_IMPL "] cblas_srotg"); cblas_srotg(&a, &b, &c, &s); } // drotg template <typename IndexType> typename If<IndexType>::isBlasCompatibleInteger rotg(double &a, double &b, double &c, double &s) { CXXBLAS_DEBUG_OUT("[" BLAS_IMPL "] cblas_drotg"); cblas_drotg(&a, &b, &c, &s); } #endif // HAVE_CBLAS } // namespace cxxblas #endif // CXXBLAS_LEVEL1_ROT_TCC |