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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 DLAQGE( M, N, A, LDA, R, C, ROWCND, COLCND, AMAX, $ EQUED ) * * -- LAPACK auxiliary 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_LA_LAQ_TCC #define FLENS_LAPACK_LA_LAQ_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 VR, typename VC, typename ROWCOND, typename COLCOND, typename AMAX> LAQ::Equilibration laq_impl(GeMatrix<MA> &A, const DenseVector<VR> &r, const DenseVector<VC> &c, const ROWCOND &rowCond, const COLCOND &colCond, const AMAX &amax) { using namespace LAQ; typedef typename GeMatrix<MA>::ElementType T; typedef typename GeMatrix<MA>::IndexType IndexType; const T One(1), Thresh(0.1); const Underscore<IndexType> _; const IndexType m = A.numRows(); const IndexType n = A.numCols(); // // Quick return if possible // if (m==0 || n==0) { return None; } // // Initialize LARGE and SMALL. // const T small = lamch<T>(SafeMin) / lamch<T>(Precision); const T large = One / small; Equilibration equed; if (rowCond>=Thresh && amax>=small && amax<=large) { // // No row scaling // if (colCond>=Thresh) { // // No column scaling // equed = None; } else { // // Column scaling // for (IndexType j=1; j<=n; ++j) { A(_,j) *= c(j); } equed = Column; } } else if (colCond>=Thresh) { // // Row scaling, no column scaling // for (IndexType j=1; j<=n; ++j) { for (IndexType i=1; i<=m; ++i) { A(i,j) *= r(i); } } equed = Row; } else { // // Row and column scaling // for (IndexType j=1; j<=n; ++j) { const T cj = c(j); for (IndexType i=1; i<=m; ++i) { A(i,j) *= cj*r(i); } } equed = Both; } return equed; } } // namespace generic //== interface for native lapack =============================================== #ifdef USE_CXXLAPACK namespace external { template <typename MA, typename VR, typename VC, typename ROWCOND, typename COLCOND, typename AMAX> LAQ::Equilibration laq_impl(GeMatrix<MA> &A, const DenseVector<VR> &r, const DenseVector<VC> &c, const ROWCOND &rowCond, const COLCOND &colCond, const AMAX &amax) { typedef typename GeMatrix<MA>::IndexType IndexType; char equed; cxxlapack::laqge<IndexType>(A.numRows(), A.numCols(), A.data(), A.leadingDimension(), r.data(), c.data(), rowCond, colCond, amax, equed); return LAQ::Equilibration(equed); } } // namespace external #endif // USE_CXXLAPACK //== public interface ========================================================== template <typename MA, typename VR, typename VC, typename ROWCOND, typename COLCOND, typename AMAX> LAQ::Equilibration laq(GeMatrix<MA> &A, const DenseVector<VR> &r, const DenseVector<VC> &c, const ROWCOND &rowCond, const COLCOND &colCond, const AMAX &amax) { typedef typename GeMatrix<MA>::IndexType IndexType; // // Test the input parameters // # ifndef NDEBUG ASSERT(A.firstRow()==1); ASSERT(A.firstCol()==1); const IndexType m = A.numRows(); const IndexType n = A.numCols(); ASSERT(r.firstIndex()==1); ASSERT(r.length()==m); ASSERT(c.firstIndex()==1); ASSERT(c.length()==n); # endif # ifdef CHECK_CXXLAPACK // // Make copies of output arguments // typename GeMatrix<MA>::NoView A_org = A; # endif // // Call implementation // const auto equed = LAPACK_SELECT::laq_impl(A, r, c, rowCond, colCond, amax); # ifdef CHECK_CXXLAPACK // // Make copies of results computed by the generic implementation // typename GeMatrix<MA>::NoView A_generic = A; // // restore output arguments // A = A_org; // // Compare generic results with results from the native implementation // const auto equed_ = external::laq_impl(A, r, c, rowCond, colCond, amax); 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 (equed!=equed_) { std::cerr << "CXXLAPACK: equed = " << equed << std::endl; std::cerr << "F77LAPACK: equed_ = " << equed_ << std::endl; failed = true; } if (failed) { ASSERT(0); } else { // std::cerr << "passed: laq.tcc" << std::endl; } # endif return equed; } //-- forwarding ---------------------------------------------------------------- template <typename MA, typename VR, typename VC, typename ROWCOND, typename COLCOND, typename AMAX> LAQ::Equilibration laq(MA &&A, const VR &r, const VC &c, const ROWCOND &rowCond, const COLCOND &colCond, const AMAX &amax) { CHECKPOINT_ENTER; const auto equed = laq(A, r, c, rowCond, colCond, amax); CHECKPOINT_LEAVE; return equed; } } } // namespace lapack, flens #endif // FLENS_LAPACK_LA_LAQ_TCC |