/*
* Copyright (c) 2011, 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 DGEQRS( M, N, NRHS, A, LDA, TAU, B, LDB, WORK, LWORK, $ INFO ) * * -- LAPACK routine (version 3.0) -- * Univ. of Tennessee, Univ. of California Berkeley, NAG Ltd., * Courant Institute, Argonne National Lab, and Rice University * February 29, 1992 */ #ifndef FLENS_LAPACK_GE_QRS_TCC #define FLENS_LAPACK_GE_QRS_TCC 1 #include <flens/blas/blas.h> #include <flens/lapack/lapack.h> namespace flens { namespace lapack { //-- qrs ----------------------------------------------------------------------- template <typename MA, typename VTAU, typename MB, typename VWORK> void qrs(GeMatrix<MA> &A, const DenseVector<VTAU> &tau, GeMatrix<MB> &B, DenseVector<VWORK> &work) { ASSERT(work.length()>=B.numCols()); typedef typename GeMatrix<MA>::IndexType IndexType; typedef typename GeMatrix<MA>::ElementType T; const Underscore<IndexType> _; const IndexType m = A.numRows(); const IndexType n = A.numCols(); const IndexType nRhs = B.numCols(); // // Quick return if possible // if ((n==0) || (nRhs==0) || (m==0)) { return; } // // B := Q' * B // ormqr(Left, Trans, A, tau, B, work); // // Solve R*X = B(1:n,:) // blas::sm(Left, NoTrans, T(1), A.upper(), B); } //-- forwarding ---------------------------------------------------------------- template <typename MA, typename VTAU, typename MB, typename VWORK> void qrs(MA &&A, const VTAU &tau, MB &&B, VWORK &&work) { qrs(A, tau, B, work); } } } // namespace lapack, flens #endif // FLENS_LAPACK_GE_QRS_TCC |