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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 DLAUU2( UPLO, N, A, LDA, INFO ) * * -- LAPACK auxiliary 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_LAUU2_TCC #define FLENS_LAPACK_LA_LAUU2_TCC 1 #include <algorithm> #include <flens/blas/blas.h> #include <flens/lapack/lapack.h> namespace flens { namespace lapack { //== generic lapack implementation ============================================= namespace generic { template <typename MA> void lauu2_impl(TrMatrix<MA> &A) { typedef typename TrMatrix<MA>::ElementType ElementType; typedef typename TrMatrix<MA>::IndexType IndexType; const ElementType One(1); const IndexType n = A.dim(); const Underscore<IndexType> _; // // Quick return if possible // if (n==0) { return; } if (A.upLo()==Upper) { // // Compute the product U * U**T. // for (IndexType i=1; i<=n; ++i) { const ElementType a22 = A(i,i); if (i<n) { A(i,i) = A(i,_(i,n)) * A(i,_(i,n)); const auto range1 = _(1,i-1); const auto range2 = i; const auto range3 = _(i+1,n); auto a12 = A(range1,range2); const auto A13 = A(range1,range3); const auto a23 = A(range2,range3); blas::mv(NoTrans, One, A13, a23, a22, a12); } else { A(_,n) *= a22; } } } else { // // Compute the product L**T * L. // for (IndexType i=1; i<=n; ++i) { const ElementType a22 = A(i,i); if (i<n) { A(i,i) = A(_(i,n),i) * A(_(i,n),i); const auto range1 = _(1,i-1); const auto range2 = i; const auto range3 = _(i+1,n); auto a21 = A(range2,range1); const auto A31 = A(range3,range1); const auto a32 = A(range3,range2); blas::mv(Trans, One, A31, a32, a22, a21); } else { A(n,_) *= a22; } } } } } // namespace generic //== interface for native lapack =============================================== #ifdef USE_CXXLAPACK namespace external { template <typename MA> void lauu2_impl(TrMatrix<MA> &A) { typedef typename TrMatrix<MA>::IndexType IndexType; IndexType info = cxxlapack::lauu2<IndexType>(getF77Char(A.upLo()), A.dim(), A.data(), A.leadingDimension()); ASSERT(info==0); } } // namespace external #endif // USE_CXXLAPACK //== public interface ========================================================== template <typename MA> void lauu2(TrMatrix<MA> &A) { typedef typename TrMatrix<MA>::IndexType IndexType; // // Test the input parameters // ASSERT(A.firstRow()==1); ASSERT(A.firstCol()==1); # ifdef CHECK_CXXLAPACK // // Make copies of output arguments // typename TrMatrix<MA>::NoView A_org = A; # endif // // Call implementation // LAPACK_SELECT::lauu2_impl(A); # ifdef CHECK_CXXLAPACK // // Make copies of generic results // typename TrMatrix<MA>::NoView A_generic = A; // // Restore output arguments // A = A_org; // // Compare results // external::lauu2_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 (failed) { ASSERT(0); } # endif } //-- forwarding ---------------------------------------------------------------- template <typename MA> void lauu2(MA &&A) { lauu2(A); } } } // namespace lapack, flens #endif // FLENS_LAPACK_LA_LAUU2_TCC |