|
1
2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 |
/*
* 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 DORG2R( M, N, K, A, LDA, TAU, WORK, INFO ) * * -- LAPACK 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_IMPL_ORG2R_TCC #define FLENS_LAPACK_IMPL_ORG2R_TCC 1 #include <flens/blas/blas.h> #include <flens/lapack/lapack.h> namespace flens { namespace lapack { //== generic lapack implementation ============================================= namespace generic { template <typename IndexType, typename MA, typename VTAU, typename VWORK> void org2r_impl(IndexType k, GeMatrix<MA> &A, const DenseVector<VTAU> &tau, DenseVector<VWORK> &work) { typedef typename GeMatrix<MA>::ElementType T; const Underscore<IndexType> _; const IndexType m = A.numRows(); const IndexType n = A.numCols(); const T Zero(0), One(1); // // Quick return if possible // if (n<=0) { return; } // // Initialise columns k+1:n to columns of the unit matrix // for (IndexType j=k+1; j<=n; ++j) { A(_(1,m),j) = Zero; A(j,j) = One; } for (IndexType i=k; i>=1; --i) { // // Apply H(i) to A(i:m,i+1:n) from the left // if (i<n) { A(i,i) = One; larf(Left, A(_(i,m),i), tau(i), A(_(i,m),_(i+1,n)), work); } if (i<m) { blas::scal(-tau(i), A(_(i+1,m),i)); } A(i,i) = One - tau(i); // // Set A(1:i-1,i) to zero // A(_(1,i-1),i) = Zero; } } } // namespace generic //== interface for native lapack =============================================== #ifdef USE_CXXLAPACK namespace external { template <typename IndexType, typename MA, typename VTAU, typename VWORK> void org2r_impl(IndexType k, GeMatrix<MA> &A, const DenseVector<VTAU> &tau, DenseVector<VWORK> &work) { cxxlapack::org2r<IndexType>(A.numRows(), A.numCols(), k, A.data(), A.leadingDimension(), tau.data(), work.data()); } } // namespace external #endif // USE_CXXLAPACK //== public interface ========================================================== template <typename IndexType, typename MA, typename VTAU, typename VWORK> void org2r(IndexType k, GeMatrix<MA> &A, const DenseVector<VTAU> &tau, DenseVector<VWORK> &work) { // // Test the input parameters // # ifndef NDEBUG ASSERT(A.firstRow()==IndexType(1)); ASSERT(A.firstCol()==IndexType(1)); ASSERT(tau.firstIndex()==IndexType(1)); ASSERT(work.length()>=A.numCols()); const IndexType m = A.numRows(); const IndexType n = A.numCols(); ASSERT(n<=m); ASSERT(k<=n); ASSERT(0<=k); # endif // // Make copies of output arguments // # ifdef CHECK_CXXLAPACK typename GeMatrix<MA>::NoView _A = A; typename DenseVector<VWORK>::NoView _work = work; # endif // // Call implementation // LAPACK_SELECT::org2r_impl(k, A, tau, work); // // Compare results // # ifdef CHECK_CXXLAPACK external::org2r_impl(k, _A, tau, _work); bool failed = false; if (! isIdentical(A, _A, " A", "A_")) { std::cerr << "CXXLAPACK: A = " << A << std::endl; std::cerr << "F77LAPACK: _A = " << _A << std::endl; failed = true; } if (! isIdentical(work, _work, " work", "_work")) { std::cerr << "CXXLAPACK: work = " << work << std::endl; std::cerr << "F77LAPACK: _work = " << _work << std::endl; failed = true; } if (failed) { std::cerr << "error in: org2r.tcc" << std::endl; ASSERT(0); } else { // std::cerr << "passed: org2r.tcc" << std::endl; } # endif } //-- forwarding ---------------------------------------------------------------- template <typename IndexType, typename MA, typename VTAU, typename VWORK> void org2r(IndexType k, MA &&A, const VTAU &tau, VWORK &&work) { org2r(k, A, tau, work); } } } // namespace lapack, flens #endif // FLENS_LAPACK_IMPL_ORG2R_TCC |