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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 DPOTRI( UPLO, N, A, LDA, INFO ) SUBROUTINE ZPOTRI( UPLO, N, A, LDA, 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_PO_POTRI_TCC #define FLENS_LAPACK_PO_POTRI_TCC 1 #include <algorithm> #include <flens/blas/blas.h> #include <flens/lapack/lapack.h> namespace flens { namespace lapack { //== generic lapack implementation ============================================= namespace generic { //-- potri [real variant] ------------------------------------------------------ template <typename MA> typename SyMatrix<MA>::IndexType potri_impl(SyMatrix<MA> &A) { typedef typename SyMatrix<MA>::IndexType IndexType; const IndexType n = A.dim(); IndexType info = 0; // // Quick return if possible // if (n==0) { return 0; } // // Invert the triangular Cholesky factor U or L. // auto T = A.triangular(); info = tri(T); if (info==0) { // // Form inv(U) * inv(U)**T or inv(L)**T * inv(L). // lauum(T); } return info; } } // namespace generic //== interface for native lapack =============================================== #ifdef USE_CXXLAPACK namespace external { //-- potri [real variant] ------------------------------------------------------ template <typename MA> typename SyMatrix<MA>::IndexType potri_impl(SyMatrix<MA> &A) { typedef typename SyMatrix<MA>::IndexType IndexType; IndexType info = cxxlapack::potri<IndexType>(getF77Char(A.upLo()), A.dim(), A.data(), A.leadingDimension()); ASSERT(info>=0); return info; } //-- potri [complex variant] --------------------------------------------------- template <typename MA> typename HeMatrix<MA>::IndexType potri_impl(HeMatrix<MA> &A) { typedef typename HeMatrix<MA>::IndexType IndexType; IndexType info = cxxlapack::potri<IndexType>(getF77Char(A.upLo()), A.dim(), A.data(), A.leadingDimension()); ASSERT(info>=0); return info; } } // namespace external #endif // USE_CXXLAPACK //== public interface ========================================================== //-- potri [real variant] ------------------------------------------------------ template <typename MA> typename RestrictTo<IsRealSyMatrix<MA>::value, typename RemoveRef<MA>::Type::IndexType>::Type potri(MA &&A) { // // Remove references from rvalue types // typedef typename RemoveRef<MA>::Type MatrixA; typedef typename MatrixA::IndexType IndexType; // // Test the input parameters // # ifndef NDEBUG ASSERT(A.firstRow()==1); ASSERT(A.firstCol()==1); # endif # ifdef CHECK_CXXLAPACK // // Make copies of output arguments // typename MatrixA::NoView A_org = A; # endif // // Call implementation // const IndexType info = LAPACK_SELECT::potri_impl(A); # ifdef CHECK_CXXLAPACK // // Make copies of generic results // typename MatrixA::NoView A_generic = A; // // restore output parameters // A = A_org; // // Compare results // const IndexType _info = external::potri_impl(A); 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(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; } //-- potri [complex variant] ------------------------------------------------------ #ifdef USE_CXXLAPACK template <typename MA> typename RestrictTo<IsHeMatrix<MA>::value, typename RemoveRef<MA>::Type::IndexType>::Type potri(MA &&A) { // // Remove references from rvalue types // typedef typename RemoveRef<MA>::Type MatrixA; typedef typename MatrixA::IndexType IndexType; // // Test the input parameters // # ifndef NDEBUG ASSERT(A.firstRow()==1); ASSERT(A.firstCol()==1); # endif // // Call implementation // const IndexType info = external::potri_impl(A); return info; } #endif // USE_CXXLAPACK } } // namespace lapack, flens #endif // FLENS_LAPACK_PO_POTRI_TCC |