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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 DLARZT( DIRECT, STOREV, N, K, V, LDV, TAU, T, LDT ) * * -- 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_LARZT_TCC #define FLENS_LAPACK_LA_LARZT_TCC 1 #include <flens/blas/blas.h> #include <flens/lapack/lapack.h> namespace flens { namespace lapack { //== generic lapack implementation ============================================= namespace generic { //-- larzt [real variant] ------------------------------------------------------ template <typename MV, typename VTAU, typename MT> void larzt_impl(Direction direction, StoreVectors storeVectors, GeMatrix<MV> &V, const DenseVector<VTAU> &tau, TrMatrix<MT> &T) { typedef typename GeMatrix<MV>::ElementType ElementType; typedef typename GeMatrix<MV>::IndexType IndexType; const Underscore<IndexType> _; const ElementType Zero(0); // // Check for currently supported options // ASSERT(storeVectors==RowWise); ASSERT(direction==Backward); const IndexType k = T.dim(); for (IndexType i=k; i>=1; --i) { if (tau(i)==Zero) { // // H(i) = I // T(_(i,k),i) = Zero; } else { // // general case // if (i<k) { // // T(i+1:k,i) = - tau(i) * V(i+1:k,1:n)**T * V(i,1:n) // const auto rows = _(i+1,k); blas::mv(NoTrans, -tau(i), V(rows,_), V(i,_), Zero, T(rows,i)); // // T(i+1:k,i) = T(i+1:k,i+1:k) * T(i+1:k,i) // blas::mv(NoTrans, T(rows,rows).lower(), T(rows,i)); } T(i,i) = tau(i); } } } } // namespace generic //== interface for native lapack =============================================== #ifdef USE_CXXLAPACK namespace external { //-- larzt [real variant] ------------------------------------------------------ template <typename MV, typename VTAU, typename MT> void larzt_impl(Direction direction, StoreVectors storeVectors, GeMatrix<MV> &V, const DenseVector<VTAU> &tau, TrMatrix<MT> &T) { typedef typename GeMatrix<MV>::IndexType IndexType; const IndexType n = (storeVectors==RowWise) ? V.numCols() : V.numRows(); cxxlapack::larzt(getF77Char(direction), getF77Char(storeVectors), n, T.dim(), V.data(), V.leadingDimension(), tau.data(), T.data(), T.leadingDimension()); } } // namespace external #endif // USE_CXXLAPACK //== public interface ========================================================== //-- larzt[real variant] ------------------------------------------------------ template <typename MV, typename VTAU, typename MT> typename RestrictTo<IsRealGeMatrix<MV>::value && IsRealDenseVector<VTAU>::value && IsRealTrMatrix<MT>::value, void>::Type larzt(Direction direction, StoreVectors storeVectors, MV &&V, const VTAU &tau, MT &&T) { // // Remove references from rvalue types // typedef typename RemoveRef<MV>::Type MatrixV; typedef typename RemoveRef<MT>::Type MatrixT; typedef typename MatrixV::IndexType IndexType; // // Test the input parameters // # ifndef NDEBUG // From LAPACK: Currently, only STOREV = 'R' and DIRECT = 'B' are supported. ASSERT(storeVectors==RowWise); ASSERT(direction==Backward); const IndexType k = T.dim(); const IndexType n = (storeVectors==RowWise) ? V.numCols() : V.numRows(); ASSERT(tau.length()==k); if (storeVectors==RowWise) { ASSERT(V.numRows()==k); } else { ASSERT(V.numRows()==n); } ASSERT(T.upLo()==Lower); # endif // // Make copies of output arguments // # ifdef CHECK_CXXLAPACK typename MatrixV::NoView V_org = V; typename MatrixT::NoView T_org = T; # endif // // Call implementation // LAPACK_SELECT::larzt_impl(direction, storeVectors, V, tau, T); # ifdef CHECK_CXXLAPACK // // Make copies of results computed by the generic implementation // typename MatrixV::NoView V_generic = V; typename MatrixT::NoView T_generic = T; // // restore output arguments // V = V_org; T = T_org; // // Compare generic results with results from the native implementation // external::larzt_impl(direction, storeVectors, V, tau, T); bool failed = false; if (! isIdentical(V_generic, V, "V_generic", "V")) { std::cerr << "CXXLAPACK: V_generic = " << V_generic << std::endl; std::cerr << "F77LAPACK: V = " << V << std::endl; failed = true; } if (! isIdentical(T_generic, T, "T_generic", "T")) { std::cerr << "CXXLAPACK: T_generic = " << T_generic << std::endl; std::cerr << "F77LAPACK: T = " << T << std::endl; failed = true; } if (failed) { std::cerr << "error in: larzt.tcc" << std::endl; ASSERT(0); } else { // std::cerr << "passed: larzt.tcc" << std::endl; } # endif } } } // namespace lapack, flens #endif // FLENS_LAPACK_LA_LARZT_TCC |