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/*
* Copyright (c) 2012, 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. */ /* Based on * SUBROUTINE DLATRZ( M, N, L, A, LDA, TAU, WORK ) * * -- LAPACK routine (version 3.3.1) -- * -- LAPACK is a software package provided by Univ. of Tennessee, -- * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- * -- April 2011 -- */ #ifndef FLENS_LAPACK_LA_LATRZ_TCC #define FLENS_LAPACK_LA_LATRZ_TCC 1 #include <flens/lapack/lapack.h> #include <flens/matrixtypes/matrixtypes.h> #include <flens/vectortypes/vectortypes.h> namespace flens { namespace lapack { //== generic lapack implementation ============================================= namespace generic { //-- latrz [real variant] ------------------------------------------------------ template <typename IndexType, typename MA, typename VTAU, typename VWORK> void latrz_impl(IndexType l, GeMatrix<MA> &A, DenseVector<VTAU> &tau, DenseVector<VWORK> &work) { typedef typename GeMatrix<MA>::ElementType ElementType; const Underscore<IndexType> _; const ElementType Zero(0); const IndexType m = A.numRows(); const IndexType n = A.numCols(); // // Quick return if possible // if (m==0) { return; } else if (m==n) { tau = Zero; return; } for (IndexType i=m; i>=1; --i) { // // Generate elementary reflector H(i) to annihilate // [ A(i,i) A(i,n-l+1:n) ] // larfg(l+1, A(i,i), A(i,_(n-l+1,n)), tau(i)); // // Apply H(i) to A(1:i-1,i:n) from the right // auto _work = work(_(1,i-1)); larz(Right, A(i,_(n-l+1,n)), tau(i), A(_(1,i-1),_(i,n)), _work); } } } // namespace generic //== interface for native lapack =============================================== #ifdef USE_CXXLAPACK namespace external { //-- latrz [real variant] ------------------------------------------------------ template <typename IndexType, typename MA, typename VTAU, typename VWORK> void latrz_impl(IndexType l, GeMatrix<MA> &A, DenseVector<VTAU> &tau, DenseVector<VWORK> &work) { cxxlapack::latrz(A.numRows(), A.numCols(), l, A.data(), A.leadingDimension(), tau.data(), work.data()); } } // namespace external #endif // USE_CXXLAPACK //== public interface ========================================================== //-- latrz[real variant] ------------------------------------------------------ template <typename IndexType, typename MA, typename VTAU, typename VWORK> typename RestrictTo<IsInteger<IndexType>::value && IsRealGeMatrix<MA>::value && IsRealDenseVector<VTAU>::value && IsRealDenseVector<VWORK>::value, void>::Type latrz(IndexType l, MA &&A, VTAU &&tau, VWORK &&work) { // // Remove references from rvalue types // typedef typename RemoveRef<MA>::Type MatrixA; typedef typename RemoveRef<VTAU>::Type VectorTau; typedef typename RemoveRef<VWORK>::Type VectorWork; // // Test the input parameters // # ifndef NDEBUG const IndexType m = A.numRows(); const IndexType n = A.numCols(); ASSERT(n-m>=l); ASSERT(tau.length()==m); ASSERT(work.length()==m); # endif // // Make copies of output arguments // # ifdef CHECK_CXXLAPACK typename MatrixA::NoView A_org = A; typename VectorTau::NoView tau_org = tau; typename VectorWork::NoView work_org = work; # endif // // Call implementation // LAPACK_SELECT::latrz_impl(l, A, tau, work); # ifdef CHECK_CXXLAPACK // // Make copies of results computed by the generic implementation // typename MatrixA::NoView A_generic = A; typename VectorTau::NoView tau_generic = tau; typename VectorWork::NoView work_generic = work; // // restore output arguments // A = A_org; tau = tau_org; work = work_org; // // Compare generic results with results from the native implementation // external::latrz_impl(l, A, tau, work); bool failed = false; if (! isIdentical(A_generic, A, "A_generic", "A")) { std::cerr << "CXXLAPACK: A_generic = " << A_generic << std::endl; std::cerr << "F77LAPACK: A = " << A << std::endl; failed = true; } if (! isIdentical(tau_generic, tau, "tau_generic", "tau")) { std::cerr << "CXXLAPACK: tau_generic = " << tau_generic << std::endl; std::cerr << "F77LAPACK: tau = " << tau << std::endl; failed = true; } if (! isIdentical(work_generic, work, "work_generic", "work")) { std::cerr << "CXXLAPACK: work_generic = " << work_generic << std::endl; std::cerr << "F77LAPACK: work = " << work << std::endl; failed = true; } if (failed) { std::cerr << "error in: latrz.tcc" << std::endl; ASSERT(0); } else { // std::cerr << "passed: latrz.tcc" << std::endl; } # endif } } } // namespace lapack, flens #endif // FLENS_LAPACK_LA_LATRZ_TCC |