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/*
* 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 DORM2R( SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, $ WORK, INFO ) * * -- 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_IMPL_ORM2R_TCC #define FLENS_LAPACK_IMPL_ORM2R_TCC 1 #include <flens/blas/blas.h> #include <flens/lapack/lapack.h> namespace flens { namespace lapack { //== generic lapack implementation ============================================= namespace generic { template <typename MA, typename VTAU, typename MC, typename VWORK> void orm2r_impl(Side side, Transpose trans, GeMatrix<MA> &A, const DenseVector<VTAU> &tau, GeMatrix<MC> &C, DenseVector<VWORK> &work) { typedef typename GeMatrix<MC>::IndexType IndexType; typedef typename GeMatrix<MC>::ElementType T; typedef Range<IndexType> Range; const Underscore<IndexType> _; const IndexType m = C.numRows(); const IndexType n = C.numCols(); const IndexType k = A.numCols(); const bool noTrans = ((trans==Trans) || (trans==ConjTrans)) ? false : true; // // nq is the order of Q // const IndexType nq = (side==Left) ? m : n; ASSERT(A.numRows()==nq); ASSERT(k<=nq); // // Quick return if possible // if ((m==0) || (n==0) || (k==0)) { return; } IndexType iBeg, iEnd, iInc; if ((side==Left && !noTrans) || (side==Right && noTrans)) { iBeg = 1; iEnd = k; iInc = 1; } else { iBeg = k; iEnd = 1; iInc = -1; } iEnd += iInc; Range rows = _(1,m); Range cols = _(1,n); for (IndexType i=iBeg; i!=iEnd; i+=iInc) { if (side==Left) { // // H(i) is applied to C(i:m,1:n) // rows = _(i,m); } else { // // H(i) is applied to C(1:m,i:n) // cols = _(i,n); } // // Apply H(i) // const T Aii = A(i,i); A(i,i) = T(1); larf(side, A(_(i,nq), i), tau(i), C(rows, cols), work); A(i,i) = Aii; } } } // namespace generic //== interface for native lapack =============================================== #ifdef USE_CXXLAPACK namespace external { template <typename MA, typename VTAU, typename MC, typename VWORK> void orm2r_impl(Side side, Transpose trans, GeMatrix<MA> &A, const DenseVector<VTAU> &tau, GeMatrix<MC> &C, DenseVector<VWORK> &work) { typedef typename GeMatrix<MC>::IndexType IndexType; cxxlapack::orm2r<IndexType>(getF77Char(side), getF77Char(trans), C.numRows(), C.numCols(), A.numCols(), A.data(), A.leadingDimension(), tau.data(), C.data(), C.leadingDimension(), work.data()); } } // namespace external #endif // USE_CXXLAPACK //== public interface ========================================================== template <typename MA, typename VTAU, typename MC, typename VWORK> void orm2r(Side side, Transpose trans, GeMatrix<MA> &A, const DenseVector<VTAU> &tau, GeMatrix<MC> &C, DenseVector<VWORK> &work) { typedef typename GeMatrix<MC>::IndexType IndexType; // // Test the input parameters // # ifndef NDEBUG const IndexType m = C.numRows(); const IndexType n = C.numCols(); const IndexType k = A.numCols(); ASSERT(tau.length()==k); if (side==Left) { ASSERT(A.numRows()==m); } else { ASSERT(A.numRows()==n); } if (work.length()>0) { if (side==Left) { ASSERT(work.length()==n); } else { ASSERT(work.length()==m); } } # endif // // Make copies of output arguments // # ifdef CHECK_CXXLAPACK typename GeMatrix<MA>::NoView A_org = A; typename GeMatrix<MC>::NoView C_org = C; typename DenseVector<VWORK>::NoView work_org = work; # endif // // Call implementation // LAPACK_SELECT::orm2r_impl(side, trans, A, tau, C, work); # ifdef CHECK_CXXLAPACK // // Make copies of results computed by the generic implementation // typename GeMatrix<MA>::NoView A_generic = A; typename GeMatrix<MC>::NoView C_generic = C; typename DenseVector<VWORK>::NoView work_generic = work; // // restore output arguments // A = A_org; C = C_org; work = work_org; // // Compare generic results with results from the native implementation // external::orm2r_impl(side, trans, A, tau, C, 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(C_generic, C, "C_generic", "C")) { std::cerr << "CXXLAPACK: C_generic = " << C_generic << std::endl; std::cerr << "F77LAPACK: C = " << C << 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: orm2r.tcc" << std::endl; ASSERT(0); } else { // std::cerr << "passed: orm2r.tcc" << std::endl; } # endif } //-- forwarding ---------------------------------------------------------------- template <typename MA, typename VTAU, typename MC, typename VWORK> void orm2r(Side side, Transpose trans, MA &&A, const VTAU &tau, MC &&C, VWORK &&work) { CHECKPOINT_ENTER; orm2r(side, trans, A, tau, C, work); CHECKPOINT_LEAVE; } } } // namespace lapack, flens #endif // FLENS_LAPACK_IMPL_ORM2R_TCC |