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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 DORGLQ( M, N, K, A, LDA, TAU, WORK, LWORK, 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_ORGLQ_TCC #define FLENS_LAPACK_IMPL_ORGLQ_TCC 1 #include <flens/blas/blas.h> #include <flens/lapack/lapack.h> namespace flens { namespace lapack { //== generic lapack implementation ============================================= namespace generic { //-- orglq --------------------------------------------------------------------- template <typename MA, typename VTAU, typename VWORK> void orglq_impl(GeMatrix<MA> &A, const DenseVector<VTAU> &tau, DenseVector<VWORK> &work) { using std::max; using std::min; 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 k = tau.length(); const T Zero(0); // // Perform and apply workspace query // IndexType nb = ilaenv<T>(1, "ORGLQ", "", m, n, k); const IndexType lWorkOpt = max(IndexType(1), m) * nb; if (work.length()==0) { work.resize(max(lWorkOpt,IndexType(1))); work(1)=lWorkOpt; } // // Quick return if possible // if (m<=0) { work(1) = 1; return; } IndexType nbMin = 2; IndexType nx = 0; IndexType iws = m; if ((nb>1) && (nb<k)) { // // Determine when to cross over from blocked to unblocked code. // nx = max(IndexType(0), IndexType(ilaenv<T>(3, "ORGLQ", "", m, n, k))); if (nx<k) { // // Determine if workspace is large enough for blocked code. // IndexType ldWork = m; iws = ldWork *nb; if (work.length()<iws) { // // Not enough workspace to use optimal NB: reduce NB and // determine the minimum value of NB. // nb = work.length() / ldWork; nbMin = max(IndexType(2), IndexType(ilaenv<T>(2, "ORGLQ", "", m, n, k))); } } } IndexType ki = -1, kk = -1; if ((nb>=nbMin) && (nb<k) && (nx<k)) { // // Use blocked code after the last block. // The first kk columns are handled by the block method. // ki = ((k-nx-1)/nb)*nb; kk = min(k, ki+nb); // // Set A(kk+1:m,1:kk) to zero. // A(_(kk+1,m),_(1,kk)) = Zero; } else { kk = 0; } // // Use unblocked code for the last or only block. // if (kk<n) { orgl2(k-kk, A(_(kk+1,m),_(kk+1,n)), tau(_(kk+1, k)), work(_(1,m-kk))); } if (kk>0) { typename GeMatrix<MA>::View Work(m, nb, work); // // Use blocked code // for (IndexType i=ki+1; i>=1; i-=nb) { const IndexType ib = min(nb, k-i+1); if (i+ib<=m) { // // Form the triangular factor of the block reflector // H = H(i) H(i+1) . . . H(i+ib-1) // auto Tr = Work(_(1,ib),_(1,ib)).upper(); larft(Forward, RowWise, n-i+1, A(_(i,i+ib-1),_(i,n)), tau(_(i,i+ib-1)), Tr); // // Apply H to A(i:m,i+ib:n) from the left // larfb(Right, Trans, Forward, RowWise, A(_(i,i+ib-1),_(i,n)), Tr, A(_(i+ib,m),_(i,n)), Work(_(ib+1,m),_(1,ib))); } // // Apply H to rows i:m of current block // orgl2(ib, A(_(i,i+ib-1),_(i,n)), tau(_(i,i+ib-1)), work(_(1,ib))); // // Set columns 1:i-1 of current block to zero // A(_(i,i+ib-1),_(1,i-1)) = Zero; } } work(1) = iws; } } // namespace generic //== interface for native lapack =============================================== #ifdef USE_CXXLAPACK namespace external { //-- orglq --------------------------------------------------------------------- template <typename MA, typename VTAU, typename VWORK> void orglq_impl(GeMatrix<MA> &A, const DenseVector<VTAU> &tau, DenseVector<VWORK> &work) { typedef typename GeMatrix<MA>::ElementType ElementType; typedef typename GeMatrix<MA>::IndexType IndexType; if (work.length()==0) { ElementType WORK; IndexType LWORK = -1; cxxlapack::orglq<IndexType>(A.numRows(), A.numCols(), tau.length(), A.data(), A.leadingDimension(), tau.data(), &WORK, LWORK); work.resize(IndexType(WORK)); } cxxlapack::orglq<IndexType>(A.numRows(), A.numCols(), tau.length(), A.data(), A.leadingDimension(), tau.data(), work.data(), work.length()); } } // namespace external #endif // USE_CXXLAPACK //== public interface ========================================================== //-- orglq --------------------------------------------------------------------- template <typename MA, typename VTAU, typename VWORK> typename RestrictTo<IsRealGeMatrix<MA>::value && IsRealDenseVector<VTAU>::value && IsRealDenseVector<VWORK>::value, void>::Type orglq(MA &&A, const VTAU &tau, VWORK &&work) { // // Remove references from rvalue types // typedef typename RemoveRef<MA>::Type MatrixA; typedef typename MatrixA::ElementType ElementType; typedef typename MatrixA::IndexType IndexType; typedef typename RemoveRef<VWORK>::Type VectorWork; // // Test the input parameters // # ifndef NDEBUG ASSERT(A.firstRow()==IndexType(1)); ASSERT(A.firstCol()==IndexType(1)); ASSERT(tau.firstIndex()==IndexType(1)); ASSERT((work.length()==0) || (work.length()>=A.numRows())); const IndexType m = A.numRows(); const IndexType n = A.numCols(); const IndexType k = tau.length(); ASSERT(n>=m); ASSERT(m>=k); ASSERT(k>=0); # endif // // Make copies of output arguments // # ifdef CHECK_CXXLAPACK typename MatrixA::NoView A_org = A; typename VectorWork::NoView work_org = work; # endif // // Call implementation // LAPACK_SELECT::orglq_impl(A, tau, work); # ifdef CHECK_CXXLAPACK // // Restore output arguments // typename MatrixA::NoView A_generic = A; typename VectorWork::NoView work_generic = work; A = A_org; if (work_org.length()!=0) { work = work_org; } else { work = ElementType(0); } // // Compare results // external::orglq_impl(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(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: orglq.tcc" << std::endl; ASSERT(0); } else { // std::cerr << "passed: orglq.tcc" << std::endl; } # endif } //-- orglq [Variant with temporary workspace] ---------------------------------- template <typename MA, typename VTAU> typename RestrictTo<IsRealGeMatrix<MA>::value && IsRealDenseVector<VTAU>::value, void>::Type orglq(MA &&A, const VTAU &tau) { typedef typename RemoveRef<MA>::Type::Vector WorkVector; WorkVector work; orglq(A, tau, work); } } } // namespace lapack, flens #endif // FLENS_LAPACK_IMPL_ORGLQ_TCC |