|
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 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 |
/*
* 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 DORGHR( N, ILO, IHI, A, LDA, TAU, WORK, LWORK, 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_ORGHR_TCC #define FLENS_LAPACK_IMPL_ORGHR_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> IndexType orghr_wsq_impl(IndexType iLo, IndexType iHi, const GeMatrix<MA> &A, const DenseVector<VTAU> &) { using std::max; typedef typename GeMatrix<MA>::ElementType T; const Underscore<IndexType> _; const IndexType n = A.numRows(); const IndexType nh = iHi - iLo; const IndexType nb = ilaenv<T>(1, "ORGQR", "", nh, nh, nh); return max(IndexType(1), nh)*nb; } template <typename IndexType, typename MA, typename VTAU, typename VW> void orghr_impl(IndexType iLo, IndexType iHi, GeMatrix<MA> &A, const DenseVector<VTAU> &tau, DenseVector<VW> &work) { using std::max; typedef typename GeMatrix<MA>::ElementType T; const Underscore<IndexType> _; const IndexType n = A.numRows(); const IndexType nh = iHi - iLo; const IndexType nb = ilaenv<T>(1, "ORGQR", "", nh, nh, nh); const IndexType lWorkOpt = max(IndexType(1), nh)*nb; // // Apply workspace query if needed // if (work.length()==0) { work.resize(lWorkOpt); } // // Quick return if possible // if (n==0) { work(1) = 1; } // // Shift the vectors which define the elementary reflectors one // column to the right, and set the first ilo and the last n-ihi // rows and columns to those of the unit matrix // for (IndexType j=iHi; j>iLo; --j) { for (IndexType i=1; i<=j-1; ++i) { A(i,j) = T(0); } for (IndexType i=j+1; i<=iHi; ++i) { A(i,j) = A(i,j-1); } for (IndexType i=iHi+1; i<=n; ++i) { A(i,j) = T(0); } } for (IndexType j=1; j<=iLo; ++j) { for (IndexType i=1; i<=n; ++i) { A(i,j) = T(0); } A(j,j) = 1; } for (IndexType j=iHi+1; j<=n; ++j) { for (IndexType i=1; i<=n; ++i) { A(i,j) = T(0); } A(j,j) = T(1); } if (nh>0) { // // Generate Q(ilo+1:ihi,ilo+1:ihi) // orgqr(A(_(iLo+1,iHi),_(iLo+1,iHi)), tau(_(iLo,iHi-1)), work); } work(1) = lWorkOpt; } } // namespace generic //== interface for native lapack =============================================== #ifdef USE_CXXLAPACK namespace external { template <typename IndexType, typename MA, typename VTAU> IndexType orghr_wsq_impl(IndexType iLo, IndexType iHi, const GeMatrix<MA> &A, const DenseVector<VTAU> &tau) { typedef typename GeMatrix<MA>::ElementType ElementType; ElementType WORK; ElementType DUMMY; const IndexType LWORK = -1; cxxlapack::orghr<IndexType>(A.numRows(), iLo, iHi, &DUMMY, A.leadingDimension(), tau.data(), &WORK, LWORK); return WORK; } template <typename IndexType, typename MA, typename VTAU, typename VW> void orghr_impl(IndexType iLo, IndexType iHi, GeMatrix<MA> &A, const DenseVector<VTAU> &tau, DenseVector<VW> &work) { cxxlapack::orghr<IndexType>(A.numRows(), iLo, iHi, A.data(), A.leadingDimension(), tau.data(), work.data(), work.length()); } } // namespace external #endif // USE_CXXLAPACK //== public interface ========================================================== template <typename IndexType, typename MA, typename VTAU> IndexType orghr_wsq(IndexType iLo, IndexType iHi, const GeMatrix<MA> &A, const DenseVector<VTAU> &tau) { // // Test the input parameters // # ifndef NDEBUG ASSERT(A.numRows()==A.numCols()); const IndexType n = A.numCols(); if (n==0) { ASSERT(iLo==1); ASSERT(iHi==0); } else { ASSERT(1<=iLo); ASSERT(iLo<=iHi); ASSERT(iHi<=n); } ASSERT(tau.length()==(n-1)); # endif // // Call implementation // IndexType ws = LAPACK_SELECT::orghr_wsq_impl(iLo, iHi, A, tau); # ifdef CHECK_CXXLAPACK // // Compare results // IndexType _ws = external::orghr_wsq_impl(iLo, iHi, A, tau); if (ws!=_ws) { std::cerr << "CXXLAPACK: ws = " << ws << std::endl; std::cerr << "F77LAPACK: _ws = " << _ws << std::endl; ASSERT(0); } # endif return ws; } template <typename IndexType, typename MA, typename VTAU, typename VW> void orghr(IndexType iLo, IndexType iHi, GeMatrix<MA> &A, const DenseVector<VTAU> &tau, DenseVector<VW> &work) { LAPACK_DEBUG_OUT("orghr"); // // Test the input parameters // # ifndef NDEBUG ASSERT(A.numRows()==A.numCols()); const IndexType n = A.numCols(); if (n==0) { ASSERT(iLo==1); ASSERT(iHi==0); } else { ASSERT(1<=iLo); ASSERT(iLo<=iHi); ASSERT(iHi<=n); } ASSERT(tau.length()==(n-1)); ASSERT(work.length()>=iHi-iLo); # endif // // Make copies of output arguments // # ifdef CHECK_CXXLAPACK typename GeMatrix<MA>::NoView _A = A; typename DenseVector<VW>::NoView _work = work; # endif // // Call implementation // LAPACK_SELECT::orghr_impl(iLo, iHi, A, tau, work); # ifdef CHECK_CXXLAPACK // // Compare results // if (_work.length()==0) { _work.resize(work.length()); } external::orghr_impl(iLo, iHi, _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: hrd.tcc" << std::endl; ASSERT(0); } else { // std::cerr << "passed: hrd.tcc" << std::endl; } # endif } //-- forwarding ---------------------------------------------------------------- template <typename IndexType, typename MA, typename VTAU> IndexType orghr_wsq(IndexType iLo, IndexType iHi, const MA &&A, const VTAU &tau) { return orghr_wsq(iLo, iHi, A, tau); } template <typename IndexType, typename MA, typename VTAU, typename VW> void orghr(IndexType iLo, IndexType iHi, MA &&A, const VTAU &tau, VW &&work) { orghr(iLo, iHi, A, tau, work); } } } // namespace lapack, flens #endif // FLENS_LAPACK_IMPL_ORGHR_TCC |