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 |
/*
* Copyright (c) 2012, Klaus Pototzky * * 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 DSYEV( JOBZ, UPLO, N, A, LDA, W, WORK, LWORK, INFO ) * * -- LAPACK driver 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_SY_EV_TCC #define FLENS_LAPACK_SY_EV_TCC 1 #include <flens/blas/blas.h> #include <flens/lapack/lapack.h> namespace flens { namespace lapack { //== interface for native lapack =============================================== #ifdef USE_CXXLAPACK namespace external { //-- (sy)ev [real variant] ----------------------------------------------------- template <typename MA> typename RestrictTo<IsReal<typename MA::ElementType>::value, Pair<typename MA::IndexType> >::Type ev_wsq_impl(bool computeV, SyMatrix<MA> &A) { using std::max; typedef typename SyMatrix<MA>::ElementType T; typedef typename SyMatrix<MA>::IndexType IndexType; // // Compute minimal workspace // IndexType n = A.dim(); IndexType minWork; if (n==0) { minWork = 1; } else { minWork = max(1,3*n-1); } // // Get optimal workspace from external LAPACK // T DUMMY, WORK; IndexType LWORK = -1; cxxlapack::syev(computeV ? 'V' : 'N', getF77Char(A.upLo()), A.dim(), &DUMMY, A.leadingDimension(), &DUMMY, &WORK, LWORK); return Pair<IndexType>(minWork, WORK); } //-- (sy)ev [real variant] ----------------------------------------------------- template <typename MA, typename VW, typename VWORK> typename SyMatrix<MA>::IndexType ev_impl(bool computeV, SyMatrix<MA> &A, DenseVector<VW> &w, DenseVector<VWORK> &work) { typedef typename SyMatrix<MA>::IndexType IndexType; if (work.length()==0) { const auto ws = ev_wsq_impl(computeV, A); work.resize(ws.second, 1); } IndexType info; info = cxxlapack::syev(computeV ? 'V' : 'N', getF77Char(A.upLo()), A.dim(), A.data(), A.leadingDimension(), w.data(), work.data(), work.length()); ASSERT(info>=0); return info; } } // namespace external #endif // USE_CXXLAPACK //== public interface ========================================================== #ifdef USE_CXXLAPACK //-- (sy)ev [complex variant] ----------------------------------------------------- template <typename MA, typename VW, typename VWORK> typename RestrictTo<IsRealSyMatrix<MA>::value && IsRealDenseVector<VW>::value && IsRealDenseVector<VWORK>::value, typename RemoveRef<MA>::Type::IndexType>::Type ev(bool computeV, MA &&A, VW &&w, VWORK &&work) { LAPACK_DEBUG_OUT("(he)ev [complex]"); // // Remove references from rvalue types // typedef typename RemoveRef<MA>::Type MatrixA; typedef typename MatrixA::IndexType IndexType; typedef typename RemoveRef<VW>::Type VectorW; typedef typename RemoveRef<VWORK>::Type VectorWork; const IndexType n = A.dim(); // // Test the input parameters // # ifndef NDEBUG ASSERT(A.firstRow()==1); ASSERT(A.firstCol()==1); ASSERT(work.firstIndex()==1); ASSERT(w.firstIndex()==1); ASSERT(w.length()==0 || w.length()==n); # endif // // Resize output arguments if they are empty and needed // if (w.length()==0) { w.resize(n, 1); } // // Call external implementation // IndexType result = external::ev_impl(computeV, A, w, work); return result; } //-- (sy)ev [real variant with temporary workspace] ---------------------------- template <typename MA, typename VW> typename RestrictTo<IsRealSyMatrix<MA>::value && IsRealDenseVector<VW>::value, typename RemoveRef<MA>::Type::IndexType>::Type ev(bool computeV, MA &&A, VW &&w) { // // Remove references from rvalue types // typedef typename RemoveRef<MA>::Type::Vector WorkVector; WorkVector work; return ev(computeV, A, w, work); } #endif // USE_CXXLAPACK } } // namespace lapack, flens #endif // FLENS_LAPACK_SY_EV_TCC |