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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 DGESV( N, NRHS, A, LDA, IPIV, B, LDB, INFO ) SUBROUTINE ZGESV( N, NRHS, A, LDA, IPIV, B, LDB, INFO ) * * -- LAPACK driver routine (version 3.2) -- * -- LAPACK is a software package provided by Univ. of Tennessee, -- * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- * November 2006 */ #ifndef FLENS_LAPACK_GE_SV_TCC #define FLENS_LAPACK_GE_SV_TCC 1 #include <flens/blas/blas.h> #include <flens/lapack/lapack.h> namespace flens { namespace lapack { //== generic lapack implementation ============================================= namespace generic { //-- (ge)sv [real and compelx variant] ----------------------------------------- template <typename MA, typename VPIV, typename MB> typename GeMatrix<MA>::IndexType sv_impl(GeMatrix<MA> &A, DenseVector<VPIV> &piv, GeMatrix<MB> &B) { typedef typename GeMatrix<MA>::IndexType IndexType; IndexType info = 0; // // Compute the LU factorization of A. // info = trf(A, piv); if (info==0) { // // Solve the system A*X = B, overwriting B with X. // trs(NoTrans, A, piv, B); } return info; } } // namespace generic //== interface for native lapack =============================================== #ifdef USE_CXXLAPACK namespace external { //-- (ge)sv [real and complex variant] ----------------------------------------- template <typename MA, typename VPIV, typename MB> typename GeMatrix<MA>::IndexType sv_impl(GeMatrix<MA> &A, DenseVector<VPIV> &piv, GeMatrix<MB> &B) { typedef typename GeMatrix<MA>::IndexType IndexType; IndexType info = cxxlapack::gesv<IndexType>(A.numRows(), B.numCols(), A.data(), A.leadingDimension(), piv.data(), B.data(), B.leadingDimension()); ASSERT(info>=0); return info; } } // namespace external #endif // USE_CXXLAPACK //== public interface ========================================================== //-- (ge)sv [real and complex variant] ----------------------------------------- template <typename MA, typename VPIV, typename MB> typename RestrictTo<IsGeMatrix<MA>::value && IsIntegerDenseVector<VPIV>::value && IsGeMatrix<MB>::value, typename RemoveRef<MA>::Type::IndexType>::Type sv(MA &&A, VPIV &&piv, MB &&B) { LAPACK_DEBUG_OUT("(ge)sv [real/complex]"); // // Remove references from rvalue types // typedef typename RemoveRef<MA>::Type MatrixA; typedef typename MatrixA::IndexType IndexType; typedef typename RemoveRef<VPIV>::Type VectorPiv; typedef typename RemoveRef<MB>::Type MatrixB; if (piv.length()==0) { piv.resize(A.numRows()); } ASSERT(piv.length()==A.numRows()); // // Test the input parameters // # ifndef NDEBUG ASSERT(A.firstRow()==1); ASSERT(A.firstCol()==1); ASSERT(A.numRows()==A.numCols()); ASSERT((piv.inc()>0 && piv.firstIndex()==1) || (piv.inc()<0 && piv.firstIndex()==A.numRows())); ASSERT(B.firstRow()==1); ASSERT(B.firstCol()==1); ASSERT(B.numRows()==A.numRows()); # endif // // Resize output arguments if they are empty // if (piv.length()==0) { piv.resize(A.numRows(), 1); } ASSERT(piv.length()==A.numRows()); # ifdef CHECK_CXXLAPACK // // Make copies of output arguments // typename MatrixA::NoView A_org = A; typename VectorPiv::NoView piv_org = piv; typename MatrixB::NoView B_org = B; # endif // // Call implementation // IndexType info = LAPACK_SELECT::sv_impl(A, piv, B); # ifdef CHECK_CXXLAPACK // // Compare results // typename MatrixA::NoView A_generic = A; typename VectorPiv::NoView piv_generic = piv; typename MatrixB::NoView B_generic = B; A = A_org; piv = piv_org; B = B_org; IndexType _info = external::sv_impl(A, piv, B); bool failed = false; if (! isIdentical(A_generic, A, "A_generic", "A")) { std::cerr << "A_org = " << A_org << std::endl; std::cerr << "CXXLAPACK: A_generic = " << A_generic << std::endl; std::cerr << "F77LAPACK: A = " << A << std::endl; failed = true; } if (! isIdentical(piv_generic, piv, "piv_generic", "piv")) { std::cerr << "piv_org = " << piv_org << std::endl; std::cerr << "CXXLAPACK: piv_generic = " << piv_generic << std::endl; std::cerr << "F77LAPACK: piv = " << piv << std::endl; failed = true; } if (! isIdentical(B_generic, B, "B_generic", "B")) { std::cerr << "B_org = " << B_org << std::endl; std::cerr << "CXXLAPACK: B_generic = " << B_generic << std::endl; std::cerr << "F77LAPACK: B = " << B << std::endl; failed = true; } if (! isIdentical(info, _info, " info", "_info")) { std::cerr << "CXXLAPACK: info = " << info << std::endl; std::cerr << "F77LAPACK: _info = " << _info << std::endl; failed = true; } if (failed) { ASSERT(0); } # endif return info; } //-- (ge)sv [variant if rhs is vector] ----------------------------------------- template <typename MA, typename VPIV, typename VB> typename RestrictTo<(IsGeMatrix<MA>::value) && IsIntegerDenseVector<VPIV>::value && IsDenseVector<VB>::value, typename RemoveRef<MA>::Type::IndexType>::Type sv(MA &&A, VPIV &&piv, VB &&b) { // // Remove references from rvalue types // typedef typename RemoveRef<MA>::Type MatrixA; typedef typename RemoveRef<VB>::Type VectorB; typedef typename VectorB::ElementType ElementType; typedef typename VectorB::IndexType IndexType; const IndexType n = b.length(); const StorageOrder order = MatrixA::Engine::order; GeMatrix<FullStorageView<ElementType, order> > B(n, 1, b, n); return sv(A, piv, B); } } } // namespace lapack, flens #endif // FLENS_LAPACK_GE_SV_TCC |