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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 DLAQR1( N, H, LDH, SR1, SI1, SR2, SI2, V ) * * -- LAPACK auxiliary routine (version 3.2) -- * Univ. of Tennessee, Univ. of California Berkeley, * Univ. of Colorado Denver and NAG Ltd.. * November 2006 */ #ifndef FLENS_LAPACK_LA_LAQR1_TCC #define FLENS_LAPACK_LA_LAQR1_TCC 1 #include <flens/blas/blas.h> #include <flens/lapack/lapack.h> namespace flens { namespace lapack { //== generic lapack implementation ============================================= namespace generic { template <typename MH, typename T, typename VV> void laqr1_impl(GeMatrix<MH> &H, const T &sr1, const T &si1, const T &sr2, const T &si2, DenseVector<VV> &v) { using std::abs; typedef typename GeMatrix<MH>::IndexType IndexType; const IndexType n = H.numRows(); const T Zero(0); if (n==2) { const T s = abs(H(1,1)-sr2) + abs(si2) + abs(H(2,1)); if (s==Zero) { v(1) = Zero; v(2) = Zero; } else { const T H21s = H(2,1)/s; v(1) = H21s*H(1,2) + (H(1,1)-sr1)*((H(1,1)-sr2)/s) - si1*(si2/s); v(2) = H21s*(H(1,1) + H(2,2)-sr1-sr2); } } else { const T s = abs(H(1,1)-sr2) + abs(si2) + abs(H(2,1)) + abs(H(3,1)); if (s==Zero) { v(1) = Zero; v(2) = Zero; v(3) = Zero; } else { const T H21s = H(2,1) / s; const T H31s = H(3,1) / s; v(1) = (H(1,1)-sr1)*((H(1,1)-sr2)/s) - si1*(si2/s) + H(1,2)*H21s + H(1,3)*H31s; v(2) = H21s*(H(1,1) + H(2,2)-sr1-sr2) + H(2,3 )*H31s; v(3) = H31s*(H(1,1) + H(3,3)-sr1-sr2) + H21s*H(3,2); } } } } // namespace generic //== interface for native lapack =============================================== #ifdef USE_CXXLAPACK namespace external { template <typename MH, typename T, typename VV> void laqr1_impl(GeMatrix<MH> &H, const T &sr1, const T &si1, const T &sr2, const T &si2, DenseVector<VV> &v) { typedef typename GeMatrix<MH>::IndexType IndexType; cxxlapack::laqr1<IndexType>(H.numRows(), H.data(), H.leadingDimension(), sr1, si1, sr2, si2, v.data()); } } // namespace external #endif // USE_CXXLAPACK //== public interface ========================================================== template <typename MH, typename T, typename VV> void laqr1(GeMatrix<MH> &H, const T &sr1, const T &si1, const T &sr2, const T &si2, DenseVector<VV> &v) { LAPACK_DEBUG_OUT("laqr1"); // // Test the input parameters // # ifndef NDEBUG typedef typename GeMatrix<MH>::IndexType IndexType; ASSERT(H.firstRow()==1); ASSERT(H.firstCol()==1); ASSERT(H.numRows()==H.numCols()); const IndexType n = H.numRows(); ASSERT(n==2 || n==3); ASSERT(v.length()==n); # endif // // Make copies of output arguments // # ifdef CHECK_CXXLAPACK typename GeMatrix<MH>::NoView H_org = H; typename DenseVector<VV>::NoView v_org = v; # endif // // Call implementation // LAPACK_SELECT::laqr1_impl(H, sr1, si1, sr2, si2, v); # ifdef CHECK_CXXLAPACK // // Make copies of results computed by the generic implementation // typename GeMatrix<MH>::NoView H_generic = H; typename DenseVector<VV>::NoView v_generic = v; // // restore output arguments // H = H_org; v = v_org; // // Compare results // external::laqr1_impl(H, sr1, si1, sr2, si2, v); bool failed = false; if (! isIdentical(H_generic, H, "H_generic", "H")) { std::cerr << "CXXLAPACK: H_generic = " << H_generic << std::endl; std::cerr << "F77LAPACK: H = " << H << std::endl; failed = true; } if (! isIdentical(v_generic, v, "v_generic", "v")) { std::cerr << "CXXLAPACK: v_generic = " << v_generic << std::endl; std::cerr << "F77LAPACK: v = " << v << std::endl; failed = true; } if (failed) { std::cerr << "error in: laqr1.tcc" << std::endl; ASSERT(0); } else { // std::cerr << "passed: laqr1.tcc" << std::endl; } # endif } //-- forwarding ---------------------------------------------------------------- template <typename MH, typename T, typename VV> void laqr1(MH &&H, const T &sr1, const T &si1, const T &sr2, const T &si2, VV &&v) { CHECKPOINT_ENTER; laqr1(H, sr1, si1, sr2, si2, v); CHECKPOINT_LEAVE; } } } // namespace lapack, flens #endif // FLENS_LAPACK_LA_LAQR1_TCC |