Mercurial > octave
annotate liboctave/CMatrix.cc @ 7488:6470f946a425
another small xGELSD workspace fix
| author | John W. Eaton <jwe@octave.org> |
|---|---|
| date | Fri, 15 Feb 2008 19:54:25 -0500 |
| parents | 6a6d2abe51ff |
| children | 8c32f95c2639 |
| rev | line source |
|---|---|
| 1993 | 1 // Matrix manipulations. |
| 458 | 2 /* |
| 3 | |
| 7017 | 4 Copyright (C) 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002, |
| 5 2003, 2004, 2005, 2006, 2007 John W. Eaton | |
| 458 | 6 |
| 7 This file is part of Octave. | |
| 8 | |
| 9 Octave is free software; you can redistribute it and/or modify it | |
| 10 under the terms of the GNU General Public License as published by the | |
| 7016 | 11 Free Software Foundation; either version 3 of the License, or (at your |
| 12 option) any later version. | |
| 458 | 13 |
| 14 Octave is distributed in the hope that it will be useful, but WITHOUT | |
| 15 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or | |
| 16 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License | |
| 17 for more details. | |
| 18 | |
| 19 You should have received a copy of the GNU General Public License | |
| 7016 | 20 along with Octave; see the file COPYING. If not, see |
| 21 <http://www.gnu.org/licenses/>. | |
| 458 | 22 |
| 23 */ | |
| 24 | |
| 25 #ifdef HAVE_CONFIG_H | |
| 1192 | 26 #include <config.h> |
| 458 | 27 #endif |
| 28 | |
| 1367 | 29 #include <cfloat> |
| 30 | |
| 3503 | 31 #include <iostream> |
| 6209 | 32 #include <vector> |
| 1367 | 33 |
| 5775 | 34 // FIXME |
| 2443 | 35 #ifdef HAVE_SYS_TYPES_H |
| 36 #include <sys/types.h> | |
| 37 #endif | |
| 458 | 38 |
| 4669 | 39 #include "Array-util.h" |
| 2828 | 40 #include "CMatrix.h" |
| 1819 | 41 #include "CmplxAEPBAL.h" |
| 458 | 42 #include "CmplxDET.h" |
| 1819 | 43 #include "CmplxSCHUR.h" |
| 740 | 44 #include "CmplxSVD.h" |
| 6207 | 45 #include "CmplxCHOL.h" |
| 1847 | 46 #include "f77-fcn.h" |
| 458 | 47 #include "lo-error.h" |
| 2354 | 48 #include "lo-ieee.h" |
| 49 #include "lo-mappers.h" | |
| 1968 | 50 #include "lo-utils.h" |
| 1367 | 51 #include "mx-base.h" |
| 2828 | 52 #include "mx-cm-dm.h" |
| 3176 | 53 #include "mx-dm-cm.h" |
| 2828 | 54 #include "mx-cm-s.h" |
| 1367 | 55 #include "mx-inlines.cc" |
| 1650 | 56 #include "oct-cmplx.h" |
| 458 | 57 |
| 4773 | 58 #if defined (HAVE_FFTW3) |
| 3827 | 59 #include "oct-fftw.h" |
| 60 #endif | |
| 61 | |
| 458 | 62 // Fortran functions we call. |
| 63 | |
| 64 extern "C" | |
| 65 { | |
| 7477 | 66 F77_RET_T |
| 67 F77_FUNC (xilaenv, XILAENV) (const octave_idx_type&, F77_CONST_CHAR_ARG_DECL, | |
| 68 F77_CONST_CHAR_ARG_DECL, | |
| 69 const octave_idx_type&, const octave_idx_type&, | |
| 7478 | 70 const octave_idx_type&, const octave_idx_type&, |
| 71 octave_idx_type& | |
| 72 F77_CHAR_ARG_LEN_DECL F77_CHAR_ARG_LEN_DECL); | |
| 7476 | 73 |
| 4552 | 74 F77_RET_T |
| 75 F77_FUNC (zgebal, ZGEBAL) (F77_CONST_CHAR_ARG_DECL, | |
| 5275 | 76 const octave_idx_type&, Complex*, const octave_idx_type&, octave_idx_type&, |
| 77 octave_idx_type&, double*, octave_idx_type& | |
| 4552 | 78 F77_CHAR_ARG_LEN_DECL); |
| 79 | |
| 80 F77_RET_T | |
| 81 F77_FUNC (dgebak, DGEBAK) (F77_CONST_CHAR_ARG_DECL, | |
| 82 F77_CONST_CHAR_ARG_DECL, | |
| 5275 | 83 const octave_idx_type&, const octave_idx_type&, const octave_idx_type&, double*, |
| 84 const octave_idx_type&, double*, const octave_idx_type&, octave_idx_type& | |
| 4552 | 85 F77_CHAR_ARG_LEN_DECL |
| 86 F77_CHAR_ARG_LEN_DECL); | |
| 87 | |
| 88 F77_RET_T | |
| 89 F77_FUNC (zgemm, ZGEMM) (F77_CONST_CHAR_ARG_DECL, | |
| 90 F77_CONST_CHAR_ARG_DECL, | |
| 5275 | 91 const octave_idx_type&, const octave_idx_type&, const octave_idx_type&, |
| 92 const Complex&, const Complex*, const octave_idx_type&, | |
| 93 const Complex*, const octave_idx_type&, const Complex&, | |
| 94 Complex*, const octave_idx_type& | |
| 4552 | 95 F77_CHAR_ARG_LEN_DECL |
| 96 F77_CHAR_ARG_LEN_DECL); | |
| 97 | |
| 98 F77_RET_T | |
| 5983 | 99 F77_FUNC (zgemv, ZGEMV) (F77_CONST_CHAR_ARG_DECL, |
| 100 const octave_idx_type&, const octave_idx_type&, const Complex&, | |
| 101 const Complex*, const octave_idx_type&, const Complex*, | |
| 102 const octave_idx_type&, const Complex&, Complex*, const octave_idx_type& | |
| 103 F77_CHAR_ARG_LEN_DECL); | |
| 104 | |
| 105 F77_RET_T | |
| 106 F77_FUNC (xzdotu, XZDOTU) (const octave_idx_type&, const Complex*, const octave_idx_type&, | |
| 107 const Complex*, const octave_idx_type&, Complex&); | |
| 108 | |
| 109 F77_RET_T | |
| 5275 | 110 F77_FUNC (zgetrf, ZGETRF) (const octave_idx_type&, const octave_idx_type&, Complex*, const octave_idx_type&, |
| 111 octave_idx_type*, octave_idx_type&); | |
| 4552 | 112 |
| 113 F77_RET_T | |
| 114 F77_FUNC (zgetrs, ZGETRS) (F77_CONST_CHAR_ARG_DECL, | |
| 5275 | 115 const octave_idx_type&, const octave_idx_type&, Complex*, const octave_idx_type&, |
| 116 const octave_idx_type*, Complex*, const octave_idx_type&, octave_idx_type& | |
| 4552 | 117 F77_CHAR_ARG_LEN_DECL); |
| 118 | |
| 119 F77_RET_T | |
| 5275 | 120 F77_FUNC (zgetri, ZGETRI) (const octave_idx_type&, Complex*, const octave_idx_type&, const octave_idx_type*, |
| 121 Complex*, const octave_idx_type&, octave_idx_type&); | |
| 4552 | 122 |
| 123 F77_RET_T | |
| 124 F77_FUNC (zgecon, ZGECON) (F77_CONST_CHAR_ARG_DECL, | |
| 5275 | 125 const octave_idx_type&, Complex*, |
| 126 const octave_idx_type&, const double&, double&, | |
| 127 Complex*, double*, octave_idx_type& | |
| 4552 | 128 F77_CHAR_ARG_LEN_DECL); |
| 129 | |
| 130 F77_RET_T | |
| 7072 | 131 F77_FUNC (zgelsy, ZGELSY) (const octave_idx_type&, const octave_idx_type&, const octave_idx_type&, |
| 132 Complex*, const octave_idx_type&, Complex*, | |
| 133 const octave_idx_type&, octave_idx_type*, double&, octave_idx_type&, | |
| 134 Complex*, const octave_idx_type&, double*, octave_idx_type&); | |
| 135 | |
| 136 F77_RET_T | |
| 137 F77_FUNC (zgelsd, ZGELSD) (const octave_idx_type&, const octave_idx_type&, const octave_idx_type&, | |
| 5275 | 138 Complex*, const octave_idx_type&, Complex*, |
| 7071 | 139 const octave_idx_type&, double*, double&, octave_idx_type&, |
| 7072 | 140 Complex*, const octave_idx_type&, double*, |
| 141 octave_idx_type*, octave_idx_type&); | |
| 458 | 142 |
| 5785 | 143 F77_RET_T |
| 144 F77_FUNC (zpotrf, ZPOTRF) (F77_CONST_CHAR_ARG_DECL, const octave_idx_type&, | |
| 145 Complex*, const octave_idx_type&, | |
| 146 octave_idx_type& F77_CHAR_ARG_LEN_DECL); | |
| 147 | |
| 148 F77_RET_T | |
| 149 F77_FUNC (zpocon, ZPOCON) (F77_CONST_CHAR_ARG_DECL, const octave_idx_type&, | |
| 150 Complex*, const octave_idx_type&, const double&, | |
| 151 double&, Complex*, double*, | |
| 152 octave_idx_type& F77_CHAR_ARG_LEN_DECL); | |
| 153 | |
| 154 F77_RET_T | |
| 155 F77_FUNC (zpotrs, ZPOTRS) (F77_CONST_CHAR_ARG_DECL, const octave_idx_type&, | |
| 156 const octave_idx_type&, const Complex*, | |
| 157 const octave_idx_type&, Complex*, | |
| 158 const octave_idx_type&, octave_idx_type& | |
| 159 F77_CHAR_ARG_LEN_DECL); | |
| 160 | |
| 161 F77_RET_T | |
| 6207 | 162 F77_FUNC (ztrtri, ZTRTRI) (F77_CONST_CHAR_ARG_DECL, F77_CONST_CHAR_ARG_DECL, |
| 163 const octave_idx_type&, const Complex*, | |
| 164 const octave_idx_type&, octave_idx_type& | |
| 165 F77_CHAR_ARG_LEN_DECL | |
| 166 F77_CHAR_ARG_LEN_DECL); | |
| 167 | |
| 168 F77_RET_T | |
| 5785 | 169 F77_FUNC (ztrcon, ZTRCON) (F77_CONST_CHAR_ARG_DECL, F77_CONST_CHAR_ARG_DECL, |
| 170 F77_CONST_CHAR_ARG_DECL, const octave_idx_type&, | |
| 171 const Complex*, const octave_idx_type&, double&, | |
| 172 Complex*, double*, octave_idx_type& | |
| 173 F77_CHAR_ARG_LEN_DECL | |
| 174 F77_CHAR_ARG_LEN_DECL | |
| 175 F77_CHAR_ARG_LEN_DECL); | |
| 176 | |
| 177 F77_RET_T | |
| 178 F77_FUNC (ztrtrs, ZTRTRS) (F77_CONST_CHAR_ARG_DECL, F77_CONST_CHAR_ARG_DECL, | |
| 179 F77_CONST_CHAR_ARG_DECL, const octave_idx_type&, | |
| 180 const octave_idx_type&, const Complex*, | |
| 181 const octave_idx_type&, Complex*, | |
| 182 const octave_idx_type&, octave_idx_type& | |
| 183 F77_CHAR_ARG_LEN_DECL | |
| 184 F77_CHAR_ARG_LEN_DECL | |
| 185 F77_CHAR_ARG_LEN_DECL); | |
| 186 | |
| 1360 | 187 // Note that the original complex fft routines were not written for |
| 188 // double complex arguments. They have been modified by adding an | |
| 189 // implicit double precision (a-h,o-z) statement at the beginning of | |
| 190 // each subroutine. | |
| 458 | 191 |
| 4552 | 192 F77_RET_T |
| 5275 | 193 F77_FUNC (cffti, CFFTI) (const octave_idx_type&, Complex*); |
| 4552 | 194 |
| 195 F77_RET_T | |
| 5275 | 196 F77_FUNC (cfftf, CFFTF) (const octave_idx_type&, Complex*, Complex*); |
| 4552 | 197 |
| 198 F77_RET_T | |
| 5275 | 199 F77_FUNC (cfftb, CFFTB) (const octave_idx_type&, Complex*, Complex*); |
| 4552 | 200 |
| 201 F77_RET_T | |
| 202 F77_FUNC (zlartg, ZLARTG) (const Complex&, const Complex&, | |
| 203 double&, Complex&, Complex&); | |
| 204 | |
| 205 F77_RET_T | |
| 206 F77_FUNC (ztrsyl, ZTRSYL) (F77_CONST_CHAR_ARG_DECL, | |
| 207 F77_CONST_CHAR_ARG_DECL, | |
| 5275 | 208 const octave_idx_type&, const octave_idx_type&, const octave_idx_type&, |
| 209 const Complex*, const octave_idx_type&, | |
| 210 const Complex*, const octave_idx_type&, | |
| 211 const Complex*, const octave_idx_type&, double&, octave_idx_type& | |
| 4552 | 212 F77_CHAR_ARG_LEN_DECL |
| 213 F77_CHAR_ARG_LEN_DECL); | |
| 214 | |
| 215 F77_RET_T | |
| 216 F77_FUNC (xzlange, XZLANGE) (F77_CONST_CHAR_ARG_DECL, | |
| 5275 | 217 const octave_idx_type&, const octave_idx_type&, const Complex*, |
| 218 const octave_idx_type&, double*, double& | |
| 4552 | 219 F77_CHAR_ARG_LEN_DECL); |
| 458 | 220 } |
| 221 | |
| 2354 | 222 static const Complex Complex_NaN_result (octave_NaN, octave_NaN); |
| 223 | |
| 1360 | 224 // Complex Matrix class |
| 458 | 225 |
| 226 ComplexMatrix::ComplexMatrix (const Matrix& a) | |
| 1214 | 227 : MArray2<Complex> (a.rows (), a.cols ()) |
| 458 | 228 { |
| 5275 | 229 for (octave_idx_type j = 0; j < cols (); j++) |
| 230 for (octave_idx_type i = 0; i < rows (); i++) | |
| 458 | 231 elem (i, j) = a.elem (i, j); |
| 232 } | |
| 233 | |
| 2349 | 234 ComplexMatrix::ComplexMatrix (const RowVector& rv) |
| 235 : MArray2<Complex> (1, rv.length (), 0.0) | |
| 236 { | |
| 5275 | 237 for (octave_idx_type i = 0; i < rv.length (); i++) |
| 2349 | 238 elem (0, i) = rv.elem (i); |
| 239 } | |
| 240 | |
| 241 ComplexMatrix::ComplexMatrix (const ColumnVector& cv) | |
| 242 : MArray2<Complex> (cv.length (), 1, 0.0) | |
| 243 { | |
| 5275 | 244 for (octave_idx_type i = 0; i < cv.length (); i++) |
| 2349 | 245 elem (i, 0) = cv.elem (i); |
| 246 } | |
| 247 | |
| 458 | 248 ComplexMatrix::ComplexMatrix (const DiagMatrix& a) |
| 1214 | 249 : MArray2<Complex> (a.rows (), a.cols (), 0.0) |
| 458 | 250 { |
| 5275 | 251 for (octave_idx_type i = 0; i < a.length (); i++) |
| 458 | 252 elem (i, i) = a.elem (i, i); |
| 253 } | |
| 254 | |
| 2349 | 255 ComplexMatrix::ComplexMatrix (const ComplexRowVector& rv) |
| 256 : MArray2<Complex> (1, rv.length (), 0.0) | |
| 257 { | |
| 5275 | 258 for (octave_idx_type i = 0; i < rv.length (); i++) |
| 2349 | 259 elem (0, i) = rv.elem (i); |
| 260 } | |
| 261 | |
| 262 ComplexMatrix::ComplexMatrix (const ComplexColumnVector& cv) | |
| 263 : MArray2<Complex> (cv.length (), 1, 0.0) | |
| 264 { | |
| 5275 | 265 for (octave_idx_type i = 0; i < cv.length (); i++) |
| 2349 | 266 elem (i, 0) = cv.elem (i); |
| 267 } | |
| 268 | |
| 458 | 269 ComplexMatrix::ComplexMatrix (const ComplexDiagMatrix& a) |
| 1214 | 270 : MArray2<Complex> (a.rows (), a.cols (), 0.0) |
| 458 | 271 { |
| 5275 | 272 for (octave_idx_type i = 0; i < a.length (); i++) |
| 458 | 273 elem (i, i) = a.elem (i, i); |
| 274 } | |
| 275 | |
| 5775 | 276 // FIXME -- could we use a templated mixed-type copy function |
| 1574 | 277 // here? |
| 278 | |
| 2828 | 279 ComplexMatrix::ComplexMatrix (const boolMatrix& a) |
| 3180 | 280 : MArray2<Complex> (a.rows (), a.cols (), 0.0) |
| 2828 | 281 { |
| 5275 | 282 for (octave_idx_type i = 0; i < a.rows (); i++) |
| 283 for (octave_idx_type j = 0; j < a.cols (); j++) | |
| 2828 | 284 elem (i, j) = a.elem (i, j); |
| 285 } | |
| 286 | |
| 1574 | 287 ComplexMatrix::ComplexMatrix (const charMatrix& a) |
| 3180 | 288 : MArray2<Complex> (a.rows (), a.cols (), 0.0) |
| 1574 | 289 { |
| 5275 | 290 for (octave_idx_type i = 0; i < a.rows (); i++) |
| 291 for (octave_idx_type j = 0; j < a.cols (); j++) | |
| 1574 | 292 elem (i, j) = a.elem (i, j); |
| 293 } | |
| 294 | |
| 2384 | 295 bool |
| 458 | 296 ComplexMatrix::operator == (const ComplexMatrix& a) const |
| 297 { | |
| 298 if (rows () != a.rows () || cols () != a.cols ()) | |
| 2384 | 299 return false; |
| 458 | 300 |
| 3769 | 301 return mx_inline_equal (data (), a.data (), length ()); |
| 458 | 302 } |
| 303 | |
| 2384 | 304 bool |
| 458 | 305 ComplexMatrix::operator != (const ComplexMatrix& a) const |
| 306 { | |
| 307 return !(*this == a); | |
| 308 } | |
| 309 | |
| 2815 | 310 bool |
| 311 ComplexMatrix::is_hermitian (void) const | |
| 312 { | |
| 5275 | 313 octave_idx_type nr = rows (); |
| 314 octave_idx_type nc = cols (); | |
| 2815 | 315 |
| 316 if (is_square () && nr > 0) | |
| 317 { | |
| 5275 | 318 for (octave_idx_type i = 0; i < nr; i++) |
| 319 for (octave_idx_type j = i; j < nc; j++) | |
| 2815 | 320 if (elem (i, j) != conj (elem (j, i))) |
| 321 return false; | |
| 322 | |
| 323 return true; | |
| 324 } | |
| 325 | |
| 326 return false; | |
| 327 } | |
| 328 | |
| 458 | 329 // destructive insert/delete/reorder operations |
| 330 | |
| 331 ComplexMatrix& | |
| 5275 | 332 ComplexMatrix::insert (const Matrix& a, octave_idx_type r, octave_idx_type c) |
| 458 | 333 { |
| 5275 | 334 octave_idx_type a_nr = a.rows (); |
| 335 octave_idx_type a_nc = a.cols (); | |
| 1699 | 336 |
| 337 if (r < 0 || r + a_nr > rows () || c < 0 || c + a_nc > cols ()) | |
| 458 | 338 { |
| 339 (*current_liboctave_error_handler) ("range error for insert"); | |
| 340 return *this; | |
| 341 } | |
| 342 | |
| 4316 | 343 if (a_nr >0 && a_nc > 0) |
| 344 { | |
| 345 make_unique (); | |
| 346 | |
| 5275 | 347 for (octave_idx_type j = 0; j < a_nc; j++) |
| 348 for (octave_idx_type i = 0; i < a_nr; i++) | |
| 4316 | 349 xelem (r+i, c+j) = a.elem (i, j); |
| 350 } | |
| 458 | 351 |
| 352 return *this; | |
| 353 } | |
| 354 | |
| 355 ComplexMatrix& | |
| 5275 | 356 ComplexMatrix::insert (const RowVector& a, octave_idx_type r, octave_idx_type c) |
| 458 | 357 { |
| 5275 | 358 octave_idx_type a_len = a.length (); |
| 4316 | 359 |
| 1699 | 360 if (r < 0 || r >= rows () || c < 0 || c + a_len > cols ()) |
| 458 | 361 { |
| 362 (*current_liboctave_error_handler) ("range error for insert"); | |
| 363 return *this; | |
| 364 } | |
| 365 | |
| 4316 | 366 if (a_len > 0) |
| 367 { | |
| 368 make_unique (); | |
| 369 | |
| 5275 | 370 for (octave_idx_type i = 0; i < a_len; i++) |
| 4316 | 371 xelem (r, c+i) = a.elem (i); |
| 372 } | |
| 458 | 373 |
| 374 return *this; | |
| 375 } | |
| 376 | |
| 377 ComplexMatrix& | |
| 5275 | 378 ComplexMatrix::insert (const ColumnVector& a, octave_idx_type r, octave_idx_type c) |
| 458 | 379 { |
| 5275 | 380 octave_idx_type a_len = a.length (); |
| 4316 | 381 |
| 1699 | 382 if (r < 0 || r + a_len > rows () || c < 0 || c >= cols ()) |
| 458 | 383 { |
| 384 (*current_liboctave_error_handler) ("range error for insert"); | |
| 385 return *this; | |
| 386 } | |
| 387 | |
| 4316 | 388 if (a_len > 0) |
| 389 { | |
| 390 make_unique (); | |
| 391 | |
| 5275 | 392 for (octave_idx_type i = 0; i < a_len; i++) |
| 4316 | 393 xelem (r+i, c) = a.elem (i); |
| 394 } | |
| 458 | 395 |
| 396 return *this; | |
| 397 } | |
| 398 | |
| 399 ComplexMatrix& | |
| 5275 | 400 ComplexMatrix::insert (const DiagMatrix& a, octave_idx_type r, octave_idx_type c) |
| 458 | 401 { |
| 5275 | 402 octave_idx_type a_nr = a.rows (); |
| 403 octave_idx_type a_nc = a.cols (); | |
| 1699 | 404 |
| 405 if (r < 0 || r + a_nr > rows () || c < 0 || c + a_nc > cols ()) | |
| 458 | 406 { |
| 407 (*current_liboctave_error_handler) ("range error for insert"); | |
| 408 return *this; | |
| 409 } | |
| 410 | |
| 1699 | 411 fill (0.0, r, c, r + a_nr - 1, c + a_nc - 1); |
| 412 | |
| 5275 | 413 octave_idx_type a_len = a.length (); |
| 4316 | 414 |
| 415 if (a_len > 0) | |
| 416 { | |
| 417 make_unique (); | |
| 418 | |
| 5275 | 419 for (octave_idx_type i = 0; i < a_len; i++) |
| 4316 | 420 xelem (r+i, c+i) = a.elem (i, i); |
| 421 } | |
| 458 | 422 |
| 423 return *this; | |
| 424 } | |
| 425 | |
| 426 ComplexMatrix& | |
| 5275 | 427 ComplexMatrix::insert (const ComplexMatrix& a, octave_idx_type r, octave_idx_type c) |
| 458 | 428 { |
| 1561 | 429 Array2<Complex>::insert (a, r, c); |
| 458 | 430 return *this; |
| 431 } | |
| 432 | |
| 433 ComplexMatrix& | |
| 5275 | 434 ComplexMatrix::insert (const ComplexRowVector& a, octave_idx_type r, octave_idx_type c) |
| 458 | 435 { |
| 5275 | 436 octave_idx_type a_len = a.length (); |
| 1699 | 437 if (r < 0 || r >= rows () || c < 0 || c + a_len > cols ()) |
| 458 | 438 { |
| 439 (*current_liboctave_error_handler) ("range error for insert"); | |
| 440 return *this; | |
| 441 } | |
| 442 | |
| 5275 | 443 for (octave_idx_type i = 0; i < a_len; i++) |
| 458 | 444 elem (r, c+i) = a.elem (i); |
| 445 | |
| 446 return *this; | |
| 447 } | |
| 448 | |
| 449 ComplexMatrix& | |
| 5275 | 450 ComplexMatrix::insert (const ComplexColumnVector& a, octave_idx_type r, octave_idx_type c) |
| 458 | 451 { |
| 5275 | 452 octave_idx_type a_len = a.length (); |
| 4316 | 453 |
| 1699 | 454 if (r < 0 || r + a_len > rows () || c < 0 || c >= cols ()) |
| 458 | 455 { |
| 456 (*current_liboctave_error_handler) ("range error for insert"); | |
| 457 return *this; | |
| 458 } | |
| 459 | |
| 4316 | 460 if (a_len > 0) |
| 461 { | |
| 462 make_unique (); | |
| 463 | |
| 5275 | 464 for (octave_idx_type i = 0; i < a_len; i++) |
| 4316 | 465 xelem (r+i, c) = a.elem (i); |
| 466 } | |
| 458 | 467 |
| 468 return *this; | |
| 469 } | |
| 470 | |
| 471 ComplexMatrix& | |
| 5275 | 472 ComplexMatrix::insert (const ComplexDiagMatrix& a, octave_idx_type r, octave_idx_type c) |
| 458 | 473 { |
| 5275 | 474 octave_idx_type a_nr = a.rows (); |
| 475 octave_idx_type a_nc = a.cols (); | |
| 1699 | 476 |
| 477 if (r < 0 || r + a_nr > rows () || c < 0 || c + a_nc > cols ()) | |
| 458 | 478 { |
| 479 (*current_liboctave_error_handler) ("range error for insert"); | |
| 480 return *this; | |
| 481 } | |
| 482 | |
| 1699 | 483 fill (0.0, r, c, r + a_nr - 1, c + a_nc - 1); |
| 484 | |
| 5275 | 485 octave_idx_type a_len = a.length (); |
| 4316 | 486 |
| 487 if (a_len > 0) | |
| 488 { | |
| 489 make_unique (); | |
| 490 | |
| 5275 | 491 for (octave_idx_type i = 0; i < a_len; i++) |
| 4316 | 492 xelem (r+i, c+i) = a.elem (i, i); |
| 493 } | |
| 458 | 494 |
| 495 return *this; | |
| 496 } | |
| 497 | |
| 498 ComplexMatrix& | |
| 499 ComplexMatrix::fill (double val) | |
| 500 { | |
| 5275 | 501 octave_idx_type nr = rows (); |
| 502 octave_idx_type nc = cols (); | |
| 4316 | 503 |
| 458 | 504 if (nr > 0 && nc > 0) |
| 4316 | 505 { |
| 506 make_unique (); | |
| 507 | |
| 5275 | 508 for (octave_idx_type j = 0; j < nc; j++) |
| 509 for (octave_idx_type i = 0; i < nr; i++) | |
| 4316 | 510 xelem (i, j) = val; |
| 511 } | |
| 458 | 512 |
| 513 return *this; | |
| 514 } | |
| 515 | |
| 516 ComplexMatrix& | |
| 517 ComplexMatrix::fill (const Complex& val) | |
| 518 { | |
| 5275 | 519 octave_idx_type nr = rows (); |
| 520 octave_idx_type nc = cols (); | |
| 4316 | 521 |
| 458 | 522 if (nr > 0 && nc > 0) |
| 4316 | 523 { |
| 524 make_unique (); | |
| 525 | |
| 5275 | 526 for (octave_idx_type j = 0; j < nc; j++) |
| 527 for (octave_idx_type i = 0; i < nr; i++) | |
| 4316 | 528 xelem (i, j) = val; |
| 529 } | |
| 458 | 530 |
| 531 return *this; | |
| 532 } | |
| 533 | |
| 534 ComplexMatrix& | |
| 5275 | 535 ComplexMatrix::fill (double val, octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2) |
| 458 | 536 { |
| 5275 | 537 octave_idx_type nr = rows (); |
| 538 octave_idx_type nc = cols (); | |
| 4316 | 539 |
| 458 | 540 if (r1 < 0 || r2 < 0 || c1 < 0 || c2 < 0 |
| 541 || r1 >= nr || r2 >= nr || c1 >= nc || c2 >= nc) | |
| 542 { | |
| 543 (*current_liboctave_error_handler) ("range error for fill"); | |
| 544 return *this; | |
| 545 } | |
| 546 | |
| 5275 | 547 if (r1 > r2) { octave_idx_type tmp = r1; r1 = r2; r2 = tmp; } |
| 548 if (c1 > c2) { octave_idx_type tmp = c1; c1 = c2; c2 = tmp; } | |
| 458 | 549 |
| 4316 | 550 if (r2 >= r1 && c2 >= c1) |
| 551 { | |
| 552 make_unique (); | |
| 553 | |
| 5275 | 554 for (octave_idx_type j = c1; j <= c2; j++) |
| 555 for (octave_idx_type i = r1; i <= r2; i++) | |
| 4316 | 556 xelem (i, j) = val; |
| 557 } | |
| 458 | 558 |
| 559 return *this; | |
| 560 } | |
| 561 | |
| 562 ComplexMatrix& | |
| 5275 | 563 ComplexMatrix::fill (const Complex& val, octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2) |
| 458 | 564 { |
| 5275 | 565 octave_idx_type nr = rows (); |
| 566 octave_idx_type nc = cols (); | |
| 4316 | 567 |
| 458 | 568 if (r1 < 0 || r2 < 0 || c1 < 0 || c2 < 0 |
| 569 || r1 >= nr || r2 >= nr || c1 >= nc || c2 >= nc) | |
| 570 { | |
| 571 (*current_liboctave_error_handler) ("range error for fill"); | |
| 572 return *this; | |
| 573 } | |
| 574 | |
| 5275 | 575 if (r1 > r2) { octave_idx_type tmp = r1; r1 = r2; r2 = tmp; } |
| 576 if (c1 > c2) { octave_idx_type tmp = c1; c1 = c2; c2 = tmp; } | |
| 458 | 577 |
| 4316 | 578 if (r2 >= r1 && c2 >=c1) |
| 579 { | |
| 580 make_unique (); | |
| 581 | |
| 5275 | 582 for (octave_idx_type j = c1; j <= c2; j++) |
| 583 for (octave_idx_type i = r1; i <= r2; i++) | |
| 4316 | 584 xelem (i, j) = val; |
| 585 } | |
| 458 | 586 |
| 587 return *this; | |
| 588 } | |
| 589 | |
| 590 ComplexMatrix | |
| 591 ComplexMatrix::append (const Matrix& a) const | |
| 592 { | |
| 5275 | 593 octave_idx_type nr = rows (); |
| 594 octave_idx_type nc = cols (); | |
| 458 | 595 if (nr != a.rows ()) |
| 596 { | |
| 597 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 598 return *this; | |
| 599 } | |
| 600 | |
| 5275 | 601 octave_idx_type nc_insert = nc; |
| 458 | 602 ComplexMatrix retval (nr, nc + a.cols ()); |
| 603 retval.insert (*this, 0, 0); | |
| 604 retval.insert (a, 0, nc_insert); | |
| 605 return retval; | |
| 606 } | |
| 607 | |
| 608 ComplexMatrix | |
| 609 ComplexMatrix::append (const RowVector& a) const | |
| 610 { | |
| 5275 | 611 octave_idx_type nr = rows (); |
| 612 octave_idx_type nc = cols (); | |
| 458 | 613 if (nr != 1) |
| 614 { | |
| 615 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 616 return *this; | |
| 617 } | |
| 618 | |
| 5275 | 619 octave_idx_type nc_insert = nc; |
| 458 | 620 ComplexMatrix retval (nr, nc + a.length ()); |
| 621 retval.insert (*this, 0, 0); | |
| 622 retval.insert (a, 0, nc_insert); | |
| 623 return retval; | |
| 624 } | |
| 625 | |
| 626 ComplexMatrix | |
| 627 ComplexMatrix::append (const ColumnVector& a) const | |
| 628 { | |
| 5275 | 629 octave_idx_type nr = rows (); |
| 630 octave_idx_type nc = cols (); | |
| 458 | 631 if (nr != a.length ()) |
| 632 { | |
| 633 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 634 return *this; | |
| 635 } | |
| 636 | |
| 5275 | 637 octave_idx_type nc_insert = nc; |
| 458 | 638 ComplexMatrix retval (nr, nc + 1); |
| 639 retval.insert (*this, 0, 0); | |
| 640 retval.insert (a, 0, nc_insert); | |
| 641 return retval; | |
| 642 } | |
| 643 | |
| 644 ComplexMatrix | |
| 645 ComplexMatrix::append (const DiagMatrix& a) const | |
| 646 { | |
| 5275 | 647 octave_idx_type nr = rows (); |
| 648 octave_idx_type nc = cols (); | |
| 458 | 649 if (nr != a.rows ()) |
| 650 { | |
| 651 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 652 return *this; | |
| 653 } | |
| 654 | |
| 5275 | 655 octave_idx_type nc_insert = nc; |
| 458 | 656 ComplexMatrix retval (nr, nc + a.cols ()); |
| 657 retval.insert (*this, 0, 0); | |
| 658 retval.insert (a, 0, nc_insert); | |
| 659 return retval; | |
| 660 } | |
| 661 | |
| 662 ComplexMatrix | |
| 663 ComplexMatrix::append (const ComplexMatrix& a) const | |
| 664 { | |
| 5275 | 665 octave_idx_type nr = rows (); |
| 666 octave_idx_type nc = cols (); | |
| 458 | 667 if (nr != a.rows ()) |
| 668 { | |
| 669 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 670 return *this; | |
| 671 } | |
| 672 | |
| 5275 | 673 octave_idx_type nc_insert = nc; |
| 458 | 674 ComplexMatrix retval (nr, nc + a.cols ()); |
| 675 retval.insert (*this, 0, 0); | |
| 676 retval.insert (a, 0, nc_insert); | |
| 677 return retval; | |
| 678 } | |
| 679 | |
| 680 ComplexMatrix | |
| 681 ComplexMatrix::append (const ComplexRowVector& a) const | |
| 682 { | |
| 5275 | 683 octave_idx_type nr = rows (); |
| 684 octave_idx_type nc = cols (); | |
| 458 | 685 if (nr != 1) |
| 686 { | |
| 687 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 688 return *this; | |
| 689 } | |
| 690 | |
| 5275 | 691 octave_idx_type nc_insert = nc; |
| 458 | 692 ComplexMatrix retval (nr, nc + a.length ()); |
| 693 retval.insert (*this, 0, 0); | |
| 694 retval.insert (a, 0, nc_insert); | |
| 695 return retval; | |
| 696 } | |
| 697 | |
| 698 ComplexMatrix | |
| 699 ComplexMatrix::append (const ComplexColumnVector& a) const | |
| 700 { | |
| 5275 | 701 octave_idx_type nr = rows (); |
| 702 octave_idx_type nc = cols (); | |
| 458 | 703 if (nr != a.length ()) |
| 704 { | |
| 705 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 706 return *this; | |
| 707 } | |
| 708 | |
| 5275 | 709 octave_idx_type nc_insert = nc; |
| 458 | 710 ComplexMatrix retval (nr, nc + 1); |
| 711 retval.insert (*this, 0, 0); | |
| 712 retval.insert (a, 0, nc_insert); | |
| 713 return retval; | |
| 714 } | |
| 715 | |
| 716 ComplexMatrix | |
| 717 ComplexMatrix::append (const ComplexDiagMatrix& a) const | |
| 718 { | |
| 5275 | 719 octave_idx_type nr = rows (); |
| 720 octave_idx_type nc = cols (); | |
| 458 | 721 if (nr != a.rows ()) |
| 722 { | |
| 723 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 724 return *this; | |
| 725 } | |
| 726 | |
| 5275 | 727 octave_idx_type nc_insert = nc; |
| 458 | 728 ComplexMatrix retval (nr, nc + a.cols ()); |
| 729 retval.insert (*this, 0, 0); | |
| 730 retval.insert (a, 0, nc_insert); | |
| 731 return retval; | |
| 732 } | |
| 733 | |
| 734 ComplexMatrix | |
| 735 ComplexMatrix::stack (const Matrix& a) const | |
| 736 { | |
| 5275 | 737 octave_idx_type nr = rows (); |
| 738 octave_idx_type nc = cols (); | |
| 458 | 739 if (nc != a.cols ()) |
| 740 { | |
| 741 (*current_liboctave_error_handler) | |
| 742 ("column dimension mismatch for stack"); | |
| 743 return *this; | |
| 744 } | |
| 745 | |
| 5275 | 746 octave_idx_type nr_insert = nr; |
| 458 | 747 ComplexMatrix retval (nr + a.rows (), nc); |
| 748 retval.insert (*this, 0, 0); | |
| 749 retval.insert (a, nr_insert, 0); | |
| 750 return retval; | |
| 751 } | |
| 752 | |
| 753 ComplexMatrix | |
| 754 ComplexMatrix::stack (const RowVector& a) const | |
| 755 { | |
| 5275 | 756 octave_idx_type nr = rows (); |
| 757 octave_idx_type nc = cols (); | |
| 458 | 758 if (nc != a.length ()) |
| 759 { | |
| 760 (*current_liboctave_error_handler) | |
| 761 ("column dimension mismatch for stack"); | |
| 762 return *this; | |
| 763 } | |
| 764 | |
| 5275 | 765 octave_idx_type nr_insert = nr; |
| 458 | 766 ComplexMatrix retval (nr + 1, nc); |
| 767 retval.insert (*this, 0, 0); | |
| 768 retval.insert (a, nr_insert, 0); | |
| 769 return retval; | |
| 770 } | |
| 771 | |
| 772 ComplexMatrix | |
| 773 ComplexMatrix::stack (const ColumnVector& a) const | |
| 774 { | |
| 5275 | 775 octave_idx_type nr = rows (); |
| 776 octave_idx_type nc = cols (); | |
| 458 | 777 if (nc != 1) |
| 778 { | |
| 779 (*current_liboctave_error_handler) | |
| 780 ("column dimension mismatch for stack"); | |
| 781 return *this; | |
| 782 } | |
| 783 | |
| 5275 | 784 octave_idx_type nr_insert = nr; |
| 458 | 785 ComplexMatrix retval (nr + a.length (), nc); |
| 786 retval.insert (*this, 0, 0); | |
| 787 retval.insert (a, nr_insert, 0); | |
| 788 return retval; | |
| 789 } | |
| 790 | |
| 791 ComplexMatrix | |
| 792 ComplexMatrix::stack (const DiagMatrix& a) const | |
| 793 { | |
| 5275 | 794 octave_idx_type nr = rows (); |
| 795 octave_idx_type nc = cols (); | |
| 458 | 796 if (nc != a.cols ()) |
| 797 { | |
| 798 (*current_liboctave_error_handler) | |
| 799 ("column dimension mismatch for stack"); | |
| 800 return *this; | |
| 801 } | |
| 802 | |
| 5275 | 803 octave_idx_type nr_insert = nr; |
| 458 | 804 ComplexMatrix retval (nr + a.rows (), nc); |
| 805 retval.insert (*this, 0, 0); | |
| 806 retval.insert (a, nr_insert, 0); | |
| 807 return retval; | |
| 808 } | |
| 809 | |
| 810 ComplexMatrix | |
| 811 ComplexMatrix::stack (const ComplexMatrix& a) const | |
| 812 { | |
| 5275 | 813 octave_idx_type nr = rows (); |
| 814 octave_idx_type nc = cols (); | |
| 458 | 815 if (nc != a.cols ()) |
| 816 { | |
| 817 (*current_liboctave_error_handler) | |
| 818 ("column dimension mismatch for stack"); | |
| 819 return *this; | |
| 820 } | |
| 821 | |
| 5275 | 822 octave_idx_type nr_insert = nr; |
| 458 | 823 ComplexMatrix retval (nr + a.rows (), nc); |
| 824 retval.insert (*this, 0, 0); | |
| 825 retval.insert (a, nr_insert, 0); | |
| 826 return retval; | |
| 827 } | |
| 828 | |
| 829 ComplexMatrix | |
| 830 ComplexMatrix::stack (const ComplexRowVector& a) const | |
| 831 { | |
| 5275 | 832 octave_idx_type nr = rows (); |
| 833 octave_idx_type nc = cols (); | |
| 458 | 834 if (nc != a.length ()) |
| 835 { | |
| 836 (*current_liboctave_error_handler) | |
| 837 ("column dimension mismatch for stack"); | |
| 838 return *this; | |
| 839 } | |
| 840 | |
| 5275 | 841 octave_idx_type nr_insert = nr; |
| 458 | 842 ComplexMatrix retval (nr + 1, nc); |
| 843 retval.insert (*this, 0, 0); | |
| 844 retval.insert (a, nr_insert, 0); | |
| 845 return retval; | |
| 846 } | |
| 847 | |
| 848 ComplexMatrix | |
| 849 ComplexMatrix::stack (const ComplexColumnVector& a) const | |
| 850 { | |
| 5275 | 851 octave_idx_type nr = rows (); |
| 852 octave_idx_type nc = cols (); | |
| 458 | 853 if (nc != 1) |
| 854 { | |
| 855 (*current_liboctave_error_handler) | |
| 856 ("column dimension mismatch for stack"); | |
| 857 return *this; | |
| 858 } | |
| 859 | |
| 5275 | 860 octave_idx_type nr_insert = nr; |
| 458 | 861 ComplexMatrix retval (nr + a.length (), nc); |
| 862 retval.insert (*this, 0, 0); | |
| 863 retval.insert (a, nr_insert, 0); | |
| 864 return retval; | |
| 865 } | |
| 866 | |
| 867 ComplexMatrix | |
| 868 ComplexMatrix::stack (const ComplexDiagMatrix& a) const | |
| 869 { | |
| 5275 | 870 octave_idx_type nr = rows (); |
| 871 octave_idx_type nc = cols (); | |
| 458 | 872 if (nc != a.cols ()) |
| 873 { | |
| 874 (*current_liboctave_error_handler) | |
| 875 ("column dimension mismatch for stack"); | |
| 876 return *this; | |
| 877 } | |
| 878 | |
| 5275 | 879 octave_idx_type nr_insert = nr; |
| 458 | 880 ComplexMatrix retval (nr + a.rows (), nc); |
| 881 retval.insert (*this, 0, 0); | |
| 882 retval.insert (a, nr_insert, 0); | |
| 883 return retval; | |
| 884 } | |
| 885 | |
| 886 ComplexMatrix | |
| 887 ComplexMatrix::hermitian (void) const | |
| 888 { | |
| 5275 | 889 octave_idx_type nr = rows (); |
| 890 octave_idx_type nc = cols (); | |
| 458 | 891 ComplexMatrix result; |
| 892 if (length () > 0) | |
| 893 { | |
| 894 result.resize (nc, nr); | |
| 5275 | 895 for (octave_idx_type j = 0; j < nc; j++) |
| 896 for (octave_idx_type i = 0; i < nr; i++) | |
| 458 | 897 result.elem (j, i) = conj (elem (i, j)); |
| 898 } | |
| 899 return result; | |
| 900 } | |
| 901 | |
| 902 ComplexMatrix | |
| 903 conj (const ComplexMatrix& a) | |
| 904 { | |
| 5275 | 905 octave_idx_type a_len = a.length (); |
| 458 | 906 ComplexMatrix retval; |
| 907 if (a_len > 0) | |
| 3769 | 908 retval = ComplexMatrix (mx_inline_conj_dup (a.data (), a_len), |
| 909 a.rows (), a.cols ()); | |
| 458 | 910 return retval; |
| 911 } | |
| 912 | |
| 913 // resize is the destructive equivalent for this one | |
| 914 | |
| 915 ComplexMatrix | |
| 5275 | 916 ComplexMatrix::extract (octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2) const |
| 458 | 917 { |
| 5275 | 918 if (r1 > r2) { octave_idx_type tmp = r1; r1 = r2; r2 = tmp; } |
| 919 if (c1 > c2) { octave_idx_type tmp = c1; c1 = c2; c2 = tmp; } | |
| 920 | |
| 921 octave_idx_type new_r = r2 - r1 + 1; | |
| 922 octave_idx_type new_c = c2 - c1 + 1; | |
| 458 | 923 |
| 924 ComplexMatrix result (new_r, new_c); | |
| 925 | |
| 5275 | 926 for (octave_idx_type j = 0; j < new_c; j++) |
| 927 for (octave_idx_type i = 0; i < new_r; i++) | |
| 4316 | 928 result.xelem (i, j) = elem (r1+i, c1+j); |
| 929 | |
| 930 return result; | |
| 931 } | |
| 932 | |
| 933 ComplexMatrix | |
| 5275 | 934 ComplexMatrix::extract_n (octave_idx_type r1, octave_idx_type c1, octave_idx_type nr, octave_idx_type nc) const |
| 4316 | 935 { |
| 936 ComplexMatrix result (nr, nc); | |
| 937 | |
| 5275 | 938 for (octave_idx_type j = 0; j < nc; j++) |
| 939 for (octave_idx_type i = 0; i < nr; i++) | |
| 4316 | 940 result.xelem (i, j) = elem (r1+i, c1+j); |
| 458 | 941 |
| 942 return result; | |
| 943 } | |
| 944 | |
| 945 // extract row or column i. | |
| 946 | |
| 947 ComplexRowVector | |
| 5275 | 948 ComplexMatrix::row (octave_idx_type i) const |
| 458 | 949 { |
| 5275 | 950 octave_idx_type nc = cols (); |
| 458 | 951 if (i < 0 || i >= rows ()) |
| 952 { | |
| 953 (*current_liboctave_error_handler) ("invalid row selection"); | |
| 954 return ComplexRowVector (); | |
| 955 } | |
| 956 | |
| 957 ComplexRowVector retval (nc); | |
| 5275 | 958 for (octave_idx_type j = 0; j < cols (); j++) |
| 4316 | 959 retval.xelem (j) = elem (i, j); |
| 458 | 960 |
| 961 return retval; | |
| 962 } | |
| 963 | |
| 964 ComplexColumnVector | |
| 5275 | 965 ComplexMatrix::column (octave_idx_type i) const |
| 458 | 966 { |
| 5275 | 967 octave_idx_type nr = rows (); |
| 458 | 968 if (i < 0 || i >= cols ()) |
| 969 { | |
| 970 (*current_liboctave_error_handler) ("invalid column selection"); | |
| 971 return ComplexColumnVector (); | |
| 972 } | |
| 973 | |
| 974 ComplexColumnVector retval (nr); | |
| 5275 | 975 for (octave_idx_type j = 0; j < nr; j++) |
| 4316 | 976 retval.xelem (j) = elem (j, i); |
| 458 | 977 |
| 978 return retval; | |
| 979 } | |
| 980 | |
| 981 ComplexMatrix | |
| 982 ComplexMatrix::inverse (void) const | |
| 983 { | |
| 5275 | 984 octave_idx_type info; |
| 479 | 985 double rcond; |
| 6207 | 986 MatrixType mattype (*this); |
| 987 return inverse (mattype, info, rcond, 0, 0); | |
| 988 } | |
| 989 | |
| 990 ComplexMatrix | |
| 6479 | 991 ComplexMatrix::inverse (octave_idx_type& info) const |
| 992 { | |
| 993 double rcond; | |
| 994 MatrixType mattype (*this); | |
| 995 return inverse (mattype, info, rcond, 0, 0); | |
| 996 } | |
| 997 | |
| 998 ComplexMatrix | |
| 999 ComplexMatrix::inverse (octave_idx_type& info, double& rcond, int force, | |
| 1000 int calc_cond) const | |
| 1001 { | |
| 1002 MatrixType mattype (*this); | |
| 6482 | 1003 return inverse (mattype, info, rcond, force, calc_cond); |
| 6479 | 1004 } |
| 1005 | |
| 1006 ComplexMatrix | |
| 6207 | 1007 ComplexMatrix::inverse (MatrixType &mattype) const |
| 1008 { | |
| 1009 octave_idx_type info; | |
| 1010 double rcond; | |
| 1011 return inverse (mattype, info, rcond, 0, 0); | |
| 1012 } | |
| 1013 | |
| 1014 ComplexMatrix | |
| 1015 ComplexMatrix::inverse (MatrixType &mattype, octave_idx_type& info) const | |
| 1016 { | |
| 1017 double rcond; | |
| 1018 return inverse (mattype, info, rcond, 0, 0); | |
| 458 | 1019 } |
| 1020 | |
| 1021 ComplexMatrix | |
| 6207 | 1022 ComplexMatrix::tinverse (MatrixType &mattype, octave_idx_type& info, |
| 1023 double& rcond, int force, int calc_cond) const | |
| 458 | 1024 { |
| 6207 | 1025 ComplexMatrix retval; |
| 1026 | |
| 1027 octave_idx_type nr = rows (); | |
| 1028 octave_idx_type nc = cols (); | |
| 1029 | |
| 1030 if (nr != nc || nr == 0 || nc == 0) | |
| 1031 (*current_liboctave_error_handler) ("inverse requires square matrix"); | |
| 1032 else | |
| 1033 { | |
| 1034 int typ = mattype.type (); | |
| 1035 char uplo = (typ == MatrixType::Lower ? 'L' : 'U'); | |
| 1036 char udiag = 'N'; | |
| 1037 retval = *this; | |
| 1038 Complex *tmp_data = retval.fortran_vec (); | |
| 1039 | |
| 1040 F77_XFCN (ztrtri, ZTRTRI, (F77_CONST_CHAR_ARG2 (&uplo, 1), | |
| 1041 F77_CONST_CHAR_ARG2 (&udiag, 1), | |
| 1042 nr, tmp_data, nr, info | |
| 1043 F77_CHAR_ARG_LEN (1) | |
| 1044 F77_CHAR_ARG_LEN (1))); | |
| 1045 | |
|
7482
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
1046 // Throw-away extra info LAPACK gives so as to not change output. |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
1047 rcond = 0.0; |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
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1048 if (info != 0) |
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1049 info = -1; |
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1050 else if (calc_cond) |
| 6207 | 1051 { |
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1052 octave_idx_type ztrcon_info = 0; |
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1053 char job = '1'; |
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1054 |
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1055 OCTAVE_LOCAL_BUFFER (Complex, cwork, 2*nr); |
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1056 OCTAVE_LOCAL_BUFFER (double, rwork, nr); |
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1057 |
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1058 F77_XFCN (ztrcon, ZTRCON, (F77_CONST_CHAR_ARG2 (&job, 1), |
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1059 F77_CONST_CHAR_ARG2 (&uplo, 1), |
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1060 F77_CONST_CHAR_ARG2 (&udiag, 1), |
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1061 nr, tmp_data, nr, rcond, |
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1062 cwork, rwork, ztrcon_info |
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1063 F77_CHAR_ARG_LEN (1) |
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1064 F77_CHAR_ARG_LEN (1) |
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1065 F77_CHAR_ARG_LEN (1))); |
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1066 |
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1067 if (ztrcon_info != 0) |
| 6207 | 1068 info = -1; |
| 1069 } | |
| 1070 | |
| 1071 if (info == -1 && ! force) | |
| 1072 retval = *this; // Restore matrix contents. | |
| 1073 } | |
| 1074 | |
| 1075 return retval; | |
| 458 | 1076 } |
| 1077 | |
| 1078 ComplexMatrix | |
| 6207 | 1079 ComplexMatrix::finverse (MatrixType &mattype, octave_idx_type& info, |
| 1080 double& rcond, int force, int calc_cond) const | |
| 458 | 1081 { |
| 1948 | 1082 ComplexMatrix retval; |
| 1083 | |
| 5275 | 1084 octave_idx_type nr = rows (); |
| 1085 octave_idx_type nc = cols (); | |
| 1948 | 1086 |
| 458 | 1087 if (nr != nc) |
| 1948 | 1088 (*current_liboctave_error_handler) ("inverse requires square matrix"); |
| 458 | 1089 else |
| 1090 { | |
| 5275 | 1091 Array<octave_idx_type> ipvt (nr); |
| 1092 octave_idx_type *pipvt = ipvt.fortran_vec (); | |
| 1948 | 1093 |
| 1094 retval = *this; | |
| 1095 Complex *tmp_data = retval.fortran_vec (); | |
| 1096 | |
| 4329 | 1097 Array<Complex> z(1); |
| 5275 | 1098 octave_idx_type lwork = -1; |
| 4330 | 1099 |
| 1100 // Query the optimum work array size. | |
| 4329 | 1101 |
| 1102 F77_XFCN (zgetri, ZGETRI, (nc, tmp_data, nr, pipvt, | |
| 1103 z.fortran_vec (), lwork, info)); | |
| 1104 | |
| 5315 | 1105 lwork = static_cast<octave_idx_type> (std::real(z(0))); |
| 4329 | 1106 lwork = (lwork < 2 *nc ? 2*nc : lwork); |
| 1107 z.resize (lwork); | |
| 1108 Complex *pz = z.fortran_vec (); | |
| 1109 | |
| 1110 info = 0; | |
| 1111 | |
| 4330 | 1112 // Calculate the norm of the matrix, for later use. |
| 4329 | 1113 double anorm; |
| 1114 if (calc_cond) | |
| 5275 | 1115 anorm = retval.abs().sum().row(static_cast<octave_idx_type>(0)).max(); |
| 4329 | 1116 |
| 1117 F77_XFCN (zgetrf, ZGETRF, (nc, nc, tmp_data, nr, pipvt, info)); | |
| 1948 | 1118 |
|
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1119 // Throw-away extra info LAPACK gives so as to not change output. |
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1120 rcond = 0.0; |
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1121 if (info != 0) |
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1122 info = -1; |
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1123 else if (calc_cond) |
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1124 { |
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1125 // Now calculate the condition number for non-singular matrix. |
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1126 octave_idx_type zgecon_info = 0; |
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1127 char job = '1'; |
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1128 Array<double> rz (2 * nc); |
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1129 double *prz = rz.fortran_vec (); |
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1130 F77_XFCN (zgecon, ZGECON, (F77_CONST_CHAR_ARG2 (&job, 1), |
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1131 nc, tmp_data, nr, anorm, |
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1132 rcond, pz, prz, zgecon_info |
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1133 F77_CHAR_ARG_LEN (1))); |
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1134 |
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1135 if (zgecon_info != 0) |
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1136 info = -1; |
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1137 } |
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1138 |
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1139 if (info == -1 && ! force) |
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1140 retval = *this; // Restore contents. |
| 1948 | 1141 else |
| 1142 { | |
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1143 octave_idx_type zgetri_info = 0; |
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1144 |
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1145 F77_XFCN (zgetri, ZGETRI, (nc, tmp_data, nr, pipvt, |
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1146 pz, lwork, zgetri_info)); |
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1147 |
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1148 if (zgetri_info != 0) |
| 1948 | 1149 info = -1; |
| 1150 } | |
| 6207 | 1151 |
| 1152 if (info != 0) | |
| 1153 mattype.mark_as_rectangular(); | |
| 458 | 1154 } |
| 4329 | 1155 |
| 1948 | 1156 return retval; |
| 458 | 1157 } |
| 1158 | |
| 1159 ComplexMatrix | |
| 6207 | 1160 ComplexMatrix::inverse (MatrixType &mattype, octave_idx_type& info, |
| 1161 double& rcond, int force, int calc_cond) const | |
| 1162 { | |
| 1163 int typ = mattype.type (false); | |
| 1164 ComplexMatrix ret; | |
| 1165 | |
| 1166 if (typ == MatrixType::Unknown) | |
| 1167 typ = mattype.type (*this); | |
| 1168 | |
| 1169 if (typ == MatrixType::Upper || typ == MatrixType::Lower) | |
| 1170 ret = tinverse (mattype, info, rcond, force, calc_cond); | |
| 6840 | 1171 else |
| 6207 | 1172 { |
| 1173 if (mattype.is_hermitian ()) | |
| 1174 { | |
| 6486 | 1175 ComplexCHOL chol (*this, info, calc_cond); |
| 6207 | 1176 if (info == 0) |
| 6486 | 1177 { |
| 1178 if (calc_cond) | |
| 1179 rcond = chol.rcond(); | |
| 1180 else | |
| 1181 rcond = 1.0; | |
| 1182 ret = chol.inverse (); | |
| 1183 } | |
| 6207 | 1184 else |
| 1185 mattype.mark_as_unsymmetric (); | |
| 1186 } | |
| 1187 | |
| 1188 if (!mattype.is_hermitian ()) | |
| 1189 ret = finverse(mattype, info, rcond, force, calc_cond); | |
| 6840 | 1190 |
| 7033 | 1191 if ((mattype.is_hermitian () || calc_cond) && rcond == 0.) |
| 6840 | 1192 ret = ComplexMatrix (rows (), columns (), Complex (octave_Inf, 0.)); |
| 6207 | 1193 } |
| 1194 | |
| 1195 return ret; | |
| 1196 } | |
| 1197 | |
| 1198 ComplexMatrix | |
| 4384 | 1199 ComplexMatrix::pseudo_inverse (double tol) const |
| 740 | 1200 { |
| 1549 | 1201 ComplexMatrix retval; |
| 1202 | |
| 3480 | 1203 ComplexSVD result (*this, SVD::economy); |
| 740 | 1204 |
| 1205 DiagMatrix S = result.singular_values (); | |
| 1206 ComplexMatrix U = result.left_singular_matrix (); | |
| 1207 ComplexMatrix V = result.right_singular_matrix (); | |
| 1208 | |
| 1209 ColumnVector sigma = S.diag (); | |
| 1210 | |
| 5275 | 1211 octave_idx_type r = sigma.length () - 1; |
| 1212 octave_idx_type nr = rows (); | |
| 1213 octave_idx_type nc = cols (); | |
| 740 | 1214 |
| 1215 if (tol <= 0.0) | |
| 1216 { | |
| 1217 if (nr > nc) | |
| 1218 tol = nr * sigma.elem (0) * DBL_EPSILON; | |
| 1219 else | |
| 1220 tol = nc * sigma.elem (0) * DBL_EPSILON; | |
| 1221 } | |
| 1222 | |
| 1223 while (r >= 0 && sigma.elem (r) < tol) | |
| 1224 r--; | |
| 1225 | |
| 1226 if (r < 0) | |
| 1549 | 1227 retval = ComplexMatrix (nc, nr, 0.0); |
| 740 | 1228 else |
| 1229 { | |
| 1230 ComplexMatrix Ur = U.extract (0, 0, nr-1, r); | |
| 1231 DiagMatrix D = DiagMatrix (sigma.extract (0, r)) . inverse (); | |
| 1232 ComplexMatrix Vr = V.extract (0, 0, nc-1, r); | |
| 1549 | 1233 retval = Vr * D * Ur.hermitian (); |
| 740 | 1234 } |
| 1549 | 1235 |
| 1236 return retval; | |
| 740 | 1237 } |
| 1238 | |
| 4773 | 1239 #if defined (HAVE_FFTW3) |
| 3827 | 1240 |
| 1241 ComplexMatrix | |
| 1242 ComplexMatrix::fourier (void) const | |
| 1243 { | |
| 1244 size_t nr = rows (); | |
| 1245 size_t nc = cols (); | |
| 1246 | |
| 1247 ComplexMatrix retval (nr, nc); | |
| 1248 | |
| 1249 size_t npts, nsamples; | |
| 1250 | |
| 1251 if (nr == 1 || nc == 1) | |
| 1252 { | |
| 1253 npts = nr > nc ? nr : nc; | |
| 1254 nsamples = 1; | |
| 1255 } | |
| 1256 else | |
| 1257 { | |
| 1258 npts = nr; | |
| 1259 nsamples = nc; | |
| 1260 } | |
| 1261 | |
| 1262 const Complex *in (data ()); | |
| 1263 Complex *out (retval.fortran_vec ()); | |
| 1264 | |
| 4773 | 1265 octave_fftw::fft (in, out, npts, nsamples); |
| 3827 | 1266 |
| 1267 return retval; | |
| 1268 } | |
| 1269 | |
| 1270 ComplexMatrix | |
| 1271 ComplexMatrix::ifourier (void) const | |
| 1272 { | |
| 1273 size_t nr = rows (); | |
| 1274 size_t nc = cols (); | |
| 1275 | |
| 1276 ComplexMatrix retval (nr, nc); | |
| 1277 | |
| 1278 size_t npts, nsamples; | |
| 1279 | |
| 1280 if (nr == 1 || nc == 1) | |
| 1281 { | |
| 1282 npts = nr > nc ? nr : nc; | |
| 1283 nsamples = 1; | |
| 1284 } | |
| 1285 else | |
| 1286 { | |
| 1287 npts = nr; | |
| 1288 nsamples = nc; | |
| 1289 } | |
| 1290 | |
| 1291 const Complex *in (data ()); | |
| 1292 Complex *out (retval.fortran_vec ()); | |
| 1293 | |
| 4773 | 1294 octave_fftw::ifft (in, out, npts, nsamples); |
| 3827 | 1295 |
| 1296 return retval; | |
| 1297 } | |
| 1298 | |
| 1299 ComplexMatrix | |
| 1300 ComplexMatrix::fourier2d (void) const | |
| 1301 { | |
| 4773 | 1302 dim_vector dv(rows (), cols ()); |
| 1303 | |
| 1304 ComplexMatrix retval (rows (), cols ()); | |
| 1305 const Complex *in (data ()); | |
| 1306 Complex *out (retval.fortran_vec ()); | |
| 1307 | |
| 1308 octave_fftw::fftNd (in, out, 2, dv); | |
| 3827 | 1309 |
| 1310 return retval; | |
| 1311 } | |
| 1312 | |
| 1313 ComplexMatrix | |
| 1314 ComplexMatrix::ifourier2d (void) const | |
| 1315 { | |
| 4773 | 1316 dim_vector dv(rows (), cols ()); |
| 1317 | |
| 1318 ComplexMatrix retval (rows (), cols ()); | |
| 1319 const Complex *in (data ()); | |
| 1320 Complex *out (retval.fortran_vec ()); | |
| 1321 | |
| 1322 octave_fftw::ifftNd (in, out, 2, dv); | |
| 3827 | 1323 |
| 1324 return retval; | |
| 1325 } | |
| 1326 | |
| 1327 #else | |
| 1328 | |
| 740 | 1329 ComplexMatrix |
| 458 | 1330 ComplexMatrix::fourier (void) const |
| 1331 { | |
| 1948 | 1332 ComplexMatrix retval; |
| 1333 | |
| 5275 | 1334 octave_idx_type nr = rows (); |
| 1335 octave_idx_type nc = cols (); | |
| 1336 | |
| 1337 octave_idx_type npts, nsamples; | |
| 1948 | 1338 |
| 458 | 1339 if (nr == 1 || nc == 1) |
| 1340 { | |
| 1341 npts = nr > nc ? nr : nc; | |
| 1342 nsamples = 1; | |
| 1343 } | |
| 1344 else | |
| 1345 { | |
| 1346 npts = nr; | |
| 1347 nsamples = nc; | |
| 1348 } | |
| 1349 | |
| 5275 | 1350 octave_idx_type nn = 4*npts+15; |
| 1948 | 1351 |
| 1352 Array<Complex> wsave (nn); | |
| 1353 Complex *pwsave = wsave.fortran_vec (); | |
| 1354 | |
| 1355 retval = *this; | |
| 1356 Complex *tmp_data = retval.fortran_vec (); | |
| 1357 | |
| 3887 | 1358 F77_FUNC (cffti, CFFTI) (npts, pwsave); |
| 458 | 1359 |
| 5275 | 1360 for (octave_idx_type j = 0; j < nsamples; j++) |
| 4153 | 1361 { |
| 1362 OCTAVE_QUIT; | |
| 1363 | |
| 1364 F77_FUNC (cfftf, CFFTF) (npts, &tmp_data[npts*j], pwsave); | |
| 1365 } | |
| 1948 | 1366 |
| 1367 return retval; | |
| 458 | 1368 } |
| 1369 | |
| 1370 ComplexMatrix | |
| 1371 ComplexMatrix::ifourier (void) const | |
| 1372 { | |
| 1948 | 1373 ComplexMatrix retval; |
| 1374 | |
| 5275 | 1375 octave_idx_type nr = rows (); |
| 1376 octave_idx_type nc = cols (); | |
| 1377 | |
| 1378 octave_idx_type npts, nsamples; | |
| 1948 | 1379 |
| 458 | 1380 if (nr == 1 || nc == 1) |
| 1381 { | |
| 1382 npts = nr > nc ? nr : nc; | |
| 1383 nsamples = 1; | |
| 1384 } | |
| 1385 else | |
| 1386 { | |
| 1387 npts = nr; | |
| 1388 nsamples = nc; | |
| 1389 } | |
| 1390 | |
| 5275 | 1391 octave_idx_type nn = 4*npts+15; |
| 1948 | 1392 |
| 1393 Array<Complex> wsave (nn); | |
| 1394 Complex *pwsave = wsave.fortran_vec (); | |
| 1395 | |
| 1396 retval = *this; | |
| 1397 Complex *tmp_data = retval.fortran_vec (); | |
| 1398 | |
| 3887 | 1399 F77_FUNC (cffti, CFFTI) (npts, pwsave); |
| 458 | 1400 |
| 5275 | 1401 for (octave_idx_type j = 0; j < nsamples; j++) |
| 4153 | 1402 { |
| 1403 OCTAVE_QUIT; | |
| 1404 | |
| 1405 F77_FUNC (cfftb, CFFTB) (npts, &tmp_data[npts*j], pwsave); | |
| 1406 } | |
| 458 | 1407 |
| 5275 | 1408 for (octave_idx_type j = 0; j < npts*nsamples; j++) |
| 3572 | 1409 tmp_data[j] = tmp_data[j] / static_cast<double> (npts); |
| 458 | 1410 |
| 1948 | 1411 return retval; |
| 458 | 1412 } |
| 1413 | |
| 677 | 1414 ComplexMatrix |
| 1415 ComplexMatrix::fourier2d (void) const | |
| 1416 { | |
| 1948 | 1417 ComplexMatrix retval; |
| 1418 | |
| 5275 | 1419 octave_idx_type nr = rows (); |
| 1420 octave_idx_type nc = cols (); | |
| 1421 | |
| 1422 octave_idx_type npts, nsamples; | |
| 1948 | 1423 |
| 677 | 1424 if (nr == 1 || nc == 1) |
| 1425 { | |
| 1426 npts = nr > nc ? nr : nc; | |
| 1427 nsamples = 1; | |
| 1428 } | |
| 1429 else | |
| 1430 { | |
| 1431 npts = nr; | |
| 1432 nsamples = nc; | |
| 1433 } | |
| 1434 | |
| 5275 | 1435 octave_idx_type nn = 4*npts+15; |
| 1948 | 1436 |
| 1437 Array<Complex> wsave (nn); | |
| 1438 Complex *pwsave = wsave.fortran_vec (); | |
| 1439 | |
| 1440 retval = *this; | |
| 1441 Complex *tmp_data = retval.fortran_vec (); | |
| 1442 | |
| 3887 | 1443 F77_FUNC (cffti, CFFTI) (npts, pwsave); |
| 677 | 1444 |
| 5275 | 1445 for (octave_idx_type j = 0; j < nsamples; j++) |
| 4153 | 1446 { |
| 1447 OCTAVE_QUIT; | |
| 1448 | |
| 1449 F77_FUNC (cfftf, CFFTF) (npts, &tmp_data[npts*j], pwsave); | |
| 1450 } | |
| 677 | 1451 |
| 1452 npts = nc; | |
| 1453 nsamples = nr; | |
| 1454 nn = 4*npts+15; | |
| 1948 | 1455 |
| 1456 wsave.resize (nn); | |
| 1457 pwsave = wsave.fortran_vec (); | |
| 1458 | |
| 4773 | 1459 Array<Complex> tmp (npts); |
| 1460 Complex *prow = tmp.fortran_vec (); | |
| 1948 | 1461 |
| 3887 | 1462 F77_FUNC (cffti, CFFTI) (npts, pwsave); |
| 677 | 1463 |
| 5275 | 1464 for (octave_idx_type j = 0; j < nsamples; j++) |
| 677 | 1465 { |
| 4153 | 1466 OCTAVE_QUIT; |
| 1467 | |
| 5275 | 1468 for (octave_idx_type i = 0; i < npts; i++) |
| 1948 | 1469 prow[i] = tmp_data[i*nr + j]; |
| 1470 | |
| 3887 | 1471 F77_FUNC (cfftf, CFFTF) (npts, prow, pwsave); |
| 677 | 1472 |
| 5275 | 1473 for (octave_idx_type i = 0; i < npts; i++) |
| 1948 | 1474 tmp_data[i*nr + j] = prow[i]; |
| 677 | 1475 } |
| 1476 | |
| 1948 | 1477 return retval; |
| 677 | 1478 } |
| 1479 | |
| 1480 ComplexMatrix | |
| 1481 ComplexMatrix::ifourier2d (void) const | |
| 1482 { | |
| 1948 | 1483 ComplexMatrix retval; |
| 1484 | |
| 5275 | 1485 octave_idx_type nr = rows (); |
| 1486 octave_idx_type nc = cols (); | |
| 1487 | |
| 1488 octave_idx_type npts, nsamples; | |
| 1948 | 1489 |
| 677 | 1490 if (nr == 1 || nc == 1) |
| 1491 { | |
| 1492 npts = nr > nc ? nr : nc; | |
| 1493 nsamples = 1; | |
| 1494 } | |
| 1495 else | |
| 1496 { | |
| 1497 npts = nr; | |
| 1498 nsamples = nc; | |
| 1499 } | |
| 1500 | |
| 5275 | 1501 octave_idx_type nn = 4*npts+15; |
| 1948 | 1502 |
| 1503 Array<Complex> wsave (nn); | |
| 1504 Complex *pwsave = wsave.fortran_vec (); | |
| 1505 | |
| 1506 retval = *this; | |
| 1507 Complex *tmp_data = retval.fortran_vec (); | |
| 1508 | |
| 3887 | 1509 F77_FUNC (cffti, CFFTI) (npts, pwsave); |
| 677 | 1510 |
| 5275 | 1511 for (octave_idx_type j = 0; j < nsamples; j++) |
| 4153 | 1512 { |
| 1513 OCTAVE_QUIT; | |
| 1514 | |
| 1515 F77_FUNC (cfftb, CFFTB) (npts, &tmp_data[npts*j], pwsave); | |
| 1516 } | |
| 677 | 1517 |
| 5275 | 1518 for (octave_idx_type j = 0; j < npts*nsamples; j++) |
| 3572 | 1519 tmp_data[j] = tmp_data[j] / static_cast<double> (npts); |
| 677 | 1520 |
| 1521 npts = nc; | |
| 1522 nsamples = nr; | |
| 1523 nn = 4*npts+15; | |
| 1948 | 1524 |
| 1525 wsave.resize (nn); | |
| 1526 pwsave = wsave.fortran_vec (); | |
| 1527 | |
| 4773 | 1528 Array<Complex> tmp (npts); |
| 1529 Complex *prow = tmp.fortran_vec (); | |
| 1948 | 1530 |
| 3887 | 1531 F77_FUNC (cffti, CFFTI) (npts, pwsave); |
| 677 | 1532 |
| 5275 | 1533 for (octave_idx_type j = 0; j < nsamples; j++) |
| 677 | 1534 { |
| 4153 | 1535 OCTAVE_QUIT; |
| 1536 | |
| 5275 | 1537 for (octave_idx_type i = 0; i < npts; i++) |
| 1948 | 1538 prow[i] = tmp_data[i*nr + j]; |
| 1539 | |
| 3887 | 1540 F77_FUNC (cfftb, CFFTB) (npts, prow, pwsave); |
| 677 | 1541 |
| 5275 | 1542 for (octave_idx_type i = 0; i < npts; i++) |
| 3572 | 1543 tmp_data[i*nr + j] = prow[i] / static_cast<double> (npts); |
| 677 | 1544 } |
| 1545 | |
| 1948 | 1546 return retval; |
| 677 | 1547 } |
| 1548 | |
| 3827 | 1549 #endif |
| 1550 | |
| 458 | 1551 ComplexDET |
| 1552 ComplexMatrix::determinant (void) const | |
| 1553 { | |
| 5275 | 1554 octave_idx_type info; |
| 458 | 1555 double rcond; |
| 4329 | 1556 return determinant (info, rcond, 0); |
| 458 | 1557 } |
| 1558 | |
| 1559 ComplexDET | |
| 5275 | 1560 ComplexMatrix::determinant (octave_idx_type& info) const |
| 458 | 1561 { |
| 1562 double rcond; | |
| 4329 | 1563 return determinant (info, rcond, 0); |
| 458 | 1564 } |
| 1565 | |
| 1566 ComplexDET | |
| 5275 | 1567 ComplexMatrix::determinant (octave_idx_type& info, double& rcond, int calc_cond) const |
| 458 | 1568 { |
| 1569 ComplexDET retval; | |
| 1570 | |
| 5275 | 1571 octave_idx_type nr = rows (); |
| 1572 octave_idx_type nc = cols (); | |
| 458 | 1573 |
| 1574 if (nr == 0 || nc == 0) | |
| 1575 { | |
| 5634 | 1576 retval = ComplexDET (1.0, 0); |
| 458 | 1577 } |
| 1578 else | |
| 1579 { | |
| 5275 | 1580 Array<octave_idx_type> ipvt (nr); |
| 1581 octave_idx_type *pipvt = ipvt.fortran_vec (); | |
| 1948 | 1582 |
| 1583 ComplexMatrix atmp = *this; | |
| 1584 Complex *tmp_data = atmp.fortran_vec (); | |
| 1585 | |
| 4329 | 1586 info = 0; |
| 1587 | |
| 4330 | 1588 // Calculate the norm of the matrix, for later use. |
| 4329 | 1589 double anorm = 0; |
| 1590 if (calc_cond) | |
| 5275 | 1591 anorm = atmp.abs().sum().row(static_cast<octave_idx_type>(0)).max(); |
| 4329 | 1592 |
| 1593 F77_XFCN (zgetrf, ZGETRF, (nr, nc, tmp_data, nr, pipvt, info)); | |
| 1948 | 1594 |
|
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|
1595 // Throw-away extra info LAPACK gives so as to not change output. |
|
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1596 rcond = 0.0; |
|
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1597 if (info != 0) |
|
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|
1598 { |
|
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1599 info = -1; |
|
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1600 retval = ComplexDET (); |
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1601 } |
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1602 else |
| 458 | 1603 { |
|
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1604 if (calc_cond) |
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1605 { |
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1606 // Now calc the condition number for non-singular matrix. |
|
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1607 char job = '1'; |
|
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1608 Array<Complex> z (2*nr); |
|
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1609 Complex *pz = z.fortran_vec (); |
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1610 Array<double> rz (2*nr); |
|
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1611 double *prz = rz.fortran_vec (); |
|
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|
1612 |
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|
1613 F77_XFCN (zgecon, ZGECON, (F77_CONST_CHAR_ARG2 (&job, 1), |
|
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|
1614 nc, tmp_data, nr, anorm, |
|
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1615 rcond, pz, prz, info |
|
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|
1616 F77_CHAR_ARG_LEN (1))); |
|
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|
1617 } |
|
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|
1618 |
| 4509 | 1619 if (info != 0) |
| 1948 | 1620 { |
| 1621 info = -1; | |
| 1622 retval = ComplexDET (); | |
| 4329 | 1623 } |
| 1624 else | |
| 1948 | 1625 { |
|
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|
1626 Complex c = 1.0; |
|
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1627 int e = 0; |
|
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|
1628 |
|
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|
1629 for (octave_idx_type i = 0; i < nc; i++) |
| 4329 | 1630 { |
|
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1631 if (ipvt(i) != (i+1)) |
|
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1632 c = -c; |
|
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|
1633 |
|
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|
1634 c *= atmp(i,i); |
|
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|
1635 |
|
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|
1636 if (c == 0.0) |
|
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|
1637 break; |
|
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|
1638 |
|
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|
1639 while (std::abs(c) < 0.5) |
| 4329 | 1640 { |
|
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|
1641 c *= 2.0; |
|
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|
1642 e--; |
| 4329 | 1643 } |
| 5634 | 1644 |
|
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|
1645 while (std::abs(c) >= 2.0) |
|
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|
1646 { |
|
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|
1647 c /= 2.0; |
|
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1648 e++; |
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|
1649 } |
| 4329 | 1650 } |
|
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|
1651 |
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|
1652 retval = ComplexDET (c, e); |
| 1948 | 1653 } |
| 458 | 1654 } |
| 1655 } | |
| 4329 | 1656 |
| 458 | 1657 return retval; |
| 1658 } | |
| 1659 | |
| 1660 ComplexMatrix | |
| 5785 | 1661 ComplexMatrix::utsolve (MatrixType &mattype, const ComplexMatrix& b, |
| 1662 octave_idx_type& info, double& rcond, | |
| 1663 solve_singularity_handler sing_handler, | |
| 1664 bool calc_cond) const | |
| 1665 { | |
| 1666 ComplexMatrix retval; | |
| 1667 | |
| 1668 octave_idx_type nr = rows (); | |
| 1669 octave_idx_type nc = cols (); | |
| 1670 | |
| 6924 | 1671 if (nr != b.rows ()) |
| 5785 | 1672 (*current_liboctave_error_handler) |
| 1673 ("matrix dimension mismatch solution of linear equations"); | |
| 6924 | 1674 else if (nr == 0 || nc == 0 || b.cols () == 0) |
| 1675 retval = ComplexMatrix (nc, b.cols (), Complex (0.0, 0.0)); | |
| 5785 | 1676 else |
| 1677 { | |
| 1678 volatile int typ = mattype.type (); | |
| 1679 | |
| 1680 if (typ == MatrixType::Permuted_Upper || | |
| 1681 typ == MatrixType::Upper) | |
| 1682 { | |
| 1683 octave_idx_type b_nc = b.cols (); | |
| 1684 rcond = 1.; | |
| 1685 info = 0; | |
| 1686 | |
| 1687 if (typ == MatrixType::Permuted_Upper) | |
| 1688 { | |
| 1689 (*current_liboctave_error_handler) | |
| 6390 | 1690 ("permuted triangular matrix not implemented"); |
| 5785 | 1691 } |
| 1692 else | |
| 1693 { | |
| 1694 const Complex *tmp_data = fortran_vec (); | |
| 1695 | |
| 1696 if (calc_cond) | |
| 1697 { | |
| 1698 char norm = '1'; | |
| 1699 char uplo = 'U'; | |
| 1700 char dia = 'N'; | |
| 1701 | |
| 1702 Array<Complex> z (2 * nc); | |
| 1703 Complex *pz = z.fortran_vec (); | |
| 1704 Array<double> rz (nc); | |
| 1705 double *prz = rz.fortran_vec (); | |
| 1706 | |
| 1707 F77_XFCN (ztrcon, ZTRCON, (F77_CONST_CHAR_ARG2 (&norm, 1), | |
| 1708 F77_CONST_CHAR_ARG2 (&uplo, 1), | |
| 1709 F77_CONST_CHAR_ARG2 (&dia, 1), | |
| 1710 nr, tmp_data, nr, rcond, | |
| 1711 pz, prz, info | |
| 1712 F77_CHAR_ARG_LEN (1) | |
| 1713 F77_CHAR_ARG_LEN (1) | |
| 1714 F77_CHAR_ARG_LEN (1))); | |
| 1715 | |
| 1716 if (info != 0) | |
| 1717 info = -2; | |
| 1718 | |
| 1719 volatile double rcond_plus_one = rcond + 1.0; | |
| 1720 | |
| 1721 if (rcond_plus_one == 1.0 || xisnan (rcond)) | |
| 1722 { | |
| 1723 info = -2; | |
| 1724 | |
| 1725 if (sing_handler) | |
| 1726 sing_handler (rcond); | |
| 1727 else | |
| 1728 (*current_liboctave_error_handler) | |
| 1729 ("matrix singular to machine precision, rcond = %g", | |
| 1730 rcond); | |
| 1731 } | |
| 1732 } | |
| 1733 | |
| 1734 if (info == 0) | |
| 1735 { | |
| 1736 retval = b; | |
| 1737 Complex *result = retval.fortran_vec (); | |
| 1738 | |
| 1739 char uplo = 'U'; | |
| 1740 char trans = 'N'; | |
| 1741 char dia = 'N'; | |
| 1742 | |
| 1743 F77_XFCN (ztrtrs, ZTRTRS, (F77_CONST_CHAR_ARG2 (&uplo, 1), | |
| 1744 F77_CONST_CHAR_ARG2 (&trans, 1), | |
| 1745 F77_CONST_CHAR_ARG2 (&dia, 1), | |
| 1746 nr, b_nc, tmp_data, nr, | |
| 1747 result, nr, info | |
| 1748 F77_CHAR_ARG_LEN (1) | |
| 1749 F77_CHAR_ARG_LEN (1) | |
| 1750 F77_CHAR_ARG_LEN (1))); | |
| 1751 } | |
| 1752 } | |
| 1753 } | |
| 1754 else | |
| 1755 (*current_liboctave_error_handler) ("incorrect matrix type"); | |
| 1756 } | |
| 1757 | |
| 1758 return retval; | |
| 1759 } | |
| 1760 | |
| 1761 ComplexMatrix | |
| 1762 ComplexMatrix::ltsolve (MatrixType &mattype, const ComplexMatrix& b, | |
| 1763 octave_idx_type& info, double& rcond, | |
| 1764 solve_singularity_handler sing_handler, | |
| 1765 bool calc_cond) const | |
| 1766 { | |
| 1767 ComplexMatrix retval; | |
| 1768 | |
| 1769 octave_idx_type nr = rows (); | |
| 1770 octave_idx_type nc = cols (); | |
| 1771 | |
| 6924 | 1772 if (nr != b.rows ()) |
| 5785 | 1773 (*current_liboctave_error_handler) |
| 1774 ("matrix dimension mismatch solution of linear equations"); | |
| 6924 | 1775 else if (nr == 0 || nc == 0 || b.cols () == 0) |
| 1776 retval = ComplexMatrix (nc, b.cols (), Complex (0.0, 0.0)); | |
| 5785 | 1777 else |
| 1778 { | |
| 1779 volatile int typ = mattype.type (); | |
| 1780 | |
| 1781 if (typ == MatrixType::Permuted_Lower || | |
| 1782 typ == MatrixType::Lower) | |
| 1783 { | |
| 1784 octave_idx_type b_nc = b.cols (); | |
| 1785 rcond = 1.; | |
| 1786 info = 0; | |
| 1787 | |
| 1788 if (typ == MatrixType::Permuted_Lower) | |
| 1789 { | |
| 1790 (*current_liboctave_error_handler) | |
| 6390 | 1791 ("permuted triangular matrix not implemented"); |
| 5785 | 1792 } |
| 1793 else | |
| 1794 { | |
| 1795 const Complex *tmp_data = fortran_vec (); | |
| 1796 | |
| 1797 if (calc_cond) | |
| 1798 { | |
| 1799 char norm = '1'; | |
| 1800 char uplo = 'L'; | |
| 1801 char dia = 'N'; | |
| 1802 | |
| 1803 Array<Complex> z (2 * nc); | |
| 1804 Complex *pz = z.fortran_vec (); | |
| 1805 Array<double> rz (nc); | |
| 1806 double *prz = rz.fortran_vec (); | |
| 1807 | |
| 1808 F77_XFCN (ztrcon, ZTRCON, (F77_CONST_CHAR_ARG2 (&norm, 1), | |
| 1809 F77_CONST_CHAR_ARG2 (&uplo, 1), | |
| 1810 F77_CONST_CHAR_ARG2 (&dia, 1), | |
| 1811 nr, tmp_data, nr, rcond, | |
| 1812 pz, prz, info | |
| 1813 F77_CHAR_ARG_LEN (1) | |
| 1814 F77_CHAR_ARG_LEN (1) | |
| 1815 F77_CHAR_ARG_LEN (1))); | |
| 1816 | |
| 1817 if (info != 0) | |
| 1818 info = -2; | |
| 1819 | |
| 1820 volatile double rcond_plus_one = rcond + 1.0; | |
| 1821 | |
| 1822 if (rcond_plus_one == 1.0 || xisnan (rcond)) | |
| 1823 { | |
| 1824 info = -2; | |
| 1825 | |
| 1826 if (sing_handler) | |
| 1827 sing_handler (rcond); | |
| 1828 else | |
| 1829 (*current_liboctave_error_handler) | |
| 1830 ("matrix singular to machine precision, rcond = %g", | |
| 1831 rcond); | |
| 1832 } | |
| 1833 } | |
| 1834 | |
| 1835 if (info == 0) | |
| 1836 { | |
| 1837 retval = b; | |
| 1838 Complex *result = retval.fortran_vec (); | |
| 1839 | |
| 1840 char uplo = 'L'; | |
| 1841 char trans = 'N'; | |
| 1842 char dia = 'N'; | |
| 1843 | |
| 1844 F77_XFCN (ztrtrs, ZTRTRS, (F77_CONST_CHAR_ARG2 (&uplo, 1), | |
| 1845 F77_CONST_CHAR_ARG2 (&trans, 1), | |
| 1846 F77_CONST_CHAR_ARG2 (&dia, 1), | |
| 1847 nr, b_nc, tmp_data, nr, | |
| 1848 result, nr, info | |
| 1849 F77_CHAR_ARG_LEN (1) | |
| 1850 F77_CHAR_ARG_LEN (1) | |
| 1851 F77_CHAR_ARG_LEN (1))); | |
| 1852 } | |
| 1853 } | |
| 1854 } | |
| 1855 else | |
| 1856 (*current_liboctave_error_handler) ("incorrect matrix type"); | |
| 1857 } | |
| 1858 | |
| 1859 return retval; | |
| 1860 } | |
| 1861 | |
| 1862 ComplexMatrix | |
| 1863 ComplexMatrix::fsolve (MatrixType &mattype, const ComplexMatrix& b, | |
| 1864 octave_idx_type& info, double& rcond, | |
| 1865 solve_singularity_handler sing_handler, | |
| 1866 bool calc_cond) const | |
| 1867 { | |
| 1868 ComplexMatrix retval; | |
| 1869 | |
| 1870 octave_idx_type nr = rows (); | |
| 1871 octave_idx_type nc = cols (); | |
| 1872 | |
| 6924 | 1873 |
| 1874 if (nr != nc || nr != b.rows ()) | |
| 5785 | 1875 (*current_liboctave_error_handler) |
| 6924 | 1876 ("matrix dimension mismatch solution of linear equations"); |
| 1877 else if (nr == 0 || b.cols () == 0) | |
| 1878 retval = ComplexMatrix (nc, b.cols (), Complex (0.0, 0.0)); | |
| 5785 | 1879 else |
| 1880 { | |
| 1881 volatile int typ = mattype.type (); | |
| 1882 | |
| 1883 // Calculate the norm of the matrix, for later use. | |
| 1884 double anorm = -1.; | |
| 1885 | |
| 1886 if (typ == MatrixType::Hermitian) | |
| 1887 { | |
| 1888 info = 0; | |
| 1889 char job = 'L'; | |
| 1890 ComplexMatrix atmp = *this; | |
| 1891 Complex *tmp_data = atmp.fortran_vec (); | |
| 1892 anorm = atmp.abs().sum().row(static_cast<octave_idx_type>(0)).max(); | |
| 1893 | |
| 1894 F77_XFCN (zpotrf, ZPOTRF, (F77_CONST_CHAR_ARG2 (&job, 1), nr, | |
| 1895 tmp_data, nr, info | |
| 1896 F77_CHAR_ARG_LEN (1))); | |
| 1897 | |
|
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1898 // Throw-away extra info LAPACK gives so as to not change output. |
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1899 rcond = 0.0; |
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1900 if (info != 0) |
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|
1901 { |
|
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1902 info = -2; |
|
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|
1903 |
|
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|
1904 mattype.mark_as_unsymmetric (); |
|
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|
1905 typ = MatrixType::Full; |
|
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1906 } |
|
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|
1907 else |
| 5785 | 1908 { |
|
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|
1909 if (calc_cond) |
| 5785 | 1910 { |
|
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1911 Array<Complex> z (2 * nc); |
|
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1912 Complex *pz = z.fortran_vec (); |
|
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1913 Array<double> rz (nc); |
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1914 double *prz = rz.fortran_vec (); |
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|
1915 |
|
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|
1916 F77_XFCN (zpocon, ZPOCON, (F77_CONST_CHAR_ARG2 (&job, 1), |
|
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1917 nr, tmp_data, nr, anorm, |
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1918 rcond, pz, prz, info |
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|
1919 F77_CHAR_ARG_LEN (1))); |
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1920 |
|
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|
1921 if (info != 0) |
|
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1922 info = -2; |
|
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|
1923 |
|
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|
1924 volatile double rcond_plus_one = rcond + 1.0; |
|
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|
1925 |
|
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|
1926 if (rcond_plus_one == 1.0 || xisnan (rcond)) |
|
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1927 { |
|
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1928 info = -2; |
|
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|
1929 |
|
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|
1930 if (sing_handler) |
|
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1931 sing_handler (rcond); |
|
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|
1932 else |
|
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|
1933 (*current_liboctave_error_handler) |
|
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|
1934 ("matrix singular to machine precision, rcond = %g", |
|
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|
1935 rcond); |
|
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|
1936 } |
|
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changeset
|
1937 } |
|
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|
1938 |
|
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|
1939 if (info == 0) |
|
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|
1940 { |
|
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|
1941 retval = b; |
|
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|
1942 Complex *result = retval.fortran_vec (); |
|
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|
1943 |
|
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|
1944 octave_idx_type b_nc = b.cols (); |
|
29980c6b8604
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|
1945 |
|
29980c6b8604
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changeset
|
1946 F77_XFCN (zpotrs, ZPOTRS, (F77_CONST_CHAR_ARG2 (&job, 1), |
|
29980c6b8604
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|
1947 nr, b_nc, tmp_data, nr, |
|
29980c6b8604
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|
1948 result, b.rows(), info |
|
29980c6b8604
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|
1949 F77_CHAR_ARG_LEN (1))); |
|
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changeset
|
1950 } |
|
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changeset
|
1951 else |
|
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|
1952 { |
| 5785 | 1953 mattype.mark_as_unsymmetric (); |
| 1954 typ = MatrixType::Full; | |
| 1955 } | |
| 1956 } | |
| 1957 } | |
| 1958 | |
| 1959 if (typ == MatrixType::Full) | |
| 1960 { | |
| 1961 info = 0; | |
| 1962 | |
| 1963 Array<octave_idx_type> ipvt (nr); | |
| 1964 octave_idx_type *pipvt = ipvt.fortran_vec (); | |
| 1965 | |
| 1966 ComplexMatrix atmp = *this; | |
| 1967 Complex *tmp_data = atmp.fortran_vec (); | |
| 1968 | |
| 1969 Array<Complex> z (2 * nc); | |
| 1970 Complex *pz = z.fortran_vec (); | |
| 1971 Array<double> rz (2 * nc); | |
| 1972 double *prz = rz.fortran_vec (); | |
| 1973 | |
| 1974 // Calculate the norm of the matrix, for later use. | |
| 1975 if (anorm < 0.) | |
| 1976 anorm = atmp.abs().sum().row(static_cast<octave_idx_type>(0)).max(); | |
| 1977 | |
| 1978 F77_XFCN (zgetrf, ZGETRF, (nr, nr, tmp_data, nr, pipvt, info)); | |
| 1979 | |
|
7482
29980c6b8604
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|
1980 // Throw-away extra info LAPACK gives so as to not change output. |
|
29980c6b8604
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parents:
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diff
changeset
|
1981 rcond = 0.0; |
|
29980c6b8604
don't check f77_exception_encountered
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parents:
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changeset
|
1982 if (info != 0) |
|
29980c6b8604
don't check f77_exception_encountered
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parents:
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diff
changeset
|
1983 { |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
1984 info = -2; |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
1985 |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
1986 if (sing_handler) |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
1987 sing_handler (rcond); |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
1988 else |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
1989 (*current_liboctave_error_handler) |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
1990 ("matrix singular to machine precision"); |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
1991 |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
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diff
changeset
|
1992 mattype.mark_as_rectangular (); |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
1993 } |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
1994 else |
| 5785 | 1995 { |
|
7482
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
1996 if (calc_cond) |
| 5785 | 1997 { |
|
7482
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
1998 // Now calculate the condition number for |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
1999 // non-singular matrix. |
|
29980c6b8604
don't check f77_exception_encountered
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parents:
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diff
changeset
|
2000 char job = '1'; |
|
29980c6b8604
don't check f77_exception_encountered
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parents:
7478
diff
changeset
|
2001 F77_XFCN (zgecon, ZGECON, (F77_CONST_CHAR_ARG2 (&job, 1), |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2002 nc, tmp_data, nr, anorm, |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2003 rcond, pz, prz, info |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
2004 F77_CHAR_ARG_LEN (1))); |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2005 |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2006 if (info != 0) |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2007 info = -2; |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2008 |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2009 volatile double rcond_plus_one = rcond + 1.0; |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2010 |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2011 if (rcond_plus_one == 1.0 || xisnan (rcond)) |
| 5785 | 2012 { |
|
7482
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2013 info = -2; |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2014 |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2015 if (sing_handler) |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2016 sing_handler (rcond); |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2017 else |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2018 (*current_liboctave_error_handler) |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2019 ("matrix singular to machine precision, rcond = %g", |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2020 rcond); |
| 5785 | 2021 } |
| 2022 } | |
|
7482
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2023 |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2024 if (info == 0) |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2025 { |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2026 retval = b; |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2027 Complex *result = retval.fortran_vec (); |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2028 |
|
29980c6b8604
don't check f77_exception_encountered
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parents:
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2029 octave_idx_type b_nc = b.cols (); |
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2030 |
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|
2031 char job = 'N'; |
|
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2032 F77_XFCN (zgetrs, ZGETRS, (F77_CONST_CHAR_ARG2 (&job, 1), |
|
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2033 nr, b_nc, tmp_data, nr, |
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|
2034 pipvt, result, b.rows(), info |
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2035 F77_CHAR_ARG_LEN (1))); |
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2036 } |
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2037 else |
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|
2038 mattype.mark_as_rectangular (); |
| 5785 | 2039 } |
| 2040 } | |
| 2041 } | |
| 2042 | |
| 2043 return retval; | |
| 2044 } | |
| 2045 | |
| 2046 ComplexMatrix | |
| 2047 ComplexMatrix::solve (MatrixType &typ, const Matrix& b) const | |
| 2048 { | |
| 2049 octave_idx_type info; | |
| 2050 double rcond; | |
| 2051 return solve (typ, b, info, rcond, 0); | |
| 2052 } | |
| 2053 | |
| 2054 ComplexMatrix | |
| 2055 ComplexMatrix::solve (MatrixType &typ, const Matrix& b, | |
| 2056 octave_idx_type& info) const | |
| 2057 { | |
| 2058 double rcond; | |
| 2059 return solve (typ, b, info, rcond, 0); | |
| 2060 } | |
| 2061 | |
| 2062 ComplexMatrix | |
| 2063 ComplexMatrix::solve (MatrixType &typ, const Matrix& b, octave_idx_type& info, | |
| 2064 double& rcond) const | |
| 2065 { | |
| 2066 return solve (typ, b, info, rcond, 0); | |
| 2067 } | |
| 2068 | |
| 2069 ComplexMatrix | |
| 2070 ComplexMatrix::solve (MatrixType &typ, const Matrix& b, octave_idx_type& info, | |
| 2071 double& rcond, solve_singularity_handler sing_handler, | |
| 2072 bool singular_fallback) const | |
| 2073 { | |
| 2074 ComplexMatrix tmp (b); | |
| 2075 return solve (typ, tmp, info, rcond, sing_handler, singular_fallback); | |
| 2076 } | |
| 2077 | |
| 2078 ComplexMatrix | |
| 2079 ComplexMatrix::solve (MatrixType &typ, const ComplexMatrix& b) const | |
| 2080 { | |
| 2081 octave_idx_type info; | |
| 2082 double rcond; | |
| 2083 return solve (typ, b, info, rcond, 0); | |
| 2084 } | |
| 2085 | |
| 2086 ComplexMatrix | |
| 2087 ComplexMatrix::solve (MatrixType &typ, const ComplexMatrix& b, | |
| 2088 octave_idx_type& info) const | |
| 2089 { | |
| 2090 double rcond; | |
| 2091 return solve (typ, b, info, rcond, 0); | |
| 2092 } | |
| 2093 | |
| 2094 ComplexMatrix | |
| 2095 ComplexMatrix::solve (MatrixType &typ, const ComplexMatrix& b, | |
| 2096 octave_idx_type& info, double& rcond) const | |
| 2097 { | |
| 2098 return solve (typ, b, info, rcond, 0); | |
| 2099 } | |
| 2100 | |
| 2101 ComplexMatrix | |
| 2102 ComplexMatrix::solve (MatrixType &mattype, const ComplexMatrix& b, | |
| 2103 octave_idx_type& info, double& rcond, | |
| 2104 solve_singularity_handler sing_handler, | |
| 2105 bool singular_fallback) const | |
| 2106 { | |
| 2107 ComplexMatrix retval; | |
| 2108 int typ = mattype.type (); | |
| 2109 | |
| 2110 if (typ == MatrixType::Unknown) | |
| 2111 typ = mattype.type (*this); | |
| 2112 | |
| 2113 // Only calculate the condition number for LU/Cholesky | |
| 2114 if (typ == MatrixType::Upper || typ == MatrixType::Permuted_Upper) | |
| 2115 retval = utsolve (mattype, b, info, rcond, sing_handler, false); | |
| 2116 else if (typ == MatrixType::Lower || typ == MatrixType::Permuted_Lower) | |
| 2117 retval = ltsolve (mattype, b, info, rcond, sing_handler, false); | |
| 2118 else if (typ == MatrixType::Full || typ == MatrixType::Hermitian) | |
| 2119 retval = fsolve (mattype, b, info, rcond, sing_handler, true); | |
| 2120 else if (typ != MatrixType::Rectangular) | |
| 2121 { | |
| 2122 (*current_liboctave_error_handler) ("unknown matrix type"); | |
| 2123 return ComplexMatrix (); | |
| 2124 } | |
| 2125 | |
| 2126 // Rectangular or one of the above solvers flags a singular matrix | |
| 2127 if (singular_fallback && mattype.type () == MatrixType::Rectangular) | |
| 2128 { | |
| 2129 octave_idx_type rank; | |
| 7076 | 2130 retval = lssolve (b, info, rank, rcond); |
| 5785 | 2131 } |
| 2132 | |
| 2133 return retval; | |
| 2134 } | |
| 2135 | |
| 2136 ComplexColumnVector | |
| 2137 ComplexMatrix::solve (MatrixType &typ, const ColumnVector& b) const | |
| 2138 { | |
| 2139 octave_idx_type info; | |
| 2140 double rcond; | |
| 2141 return solve (typ, ComplexColumnVector (b), info, rcond, 0); | |
| 2142 } | |
| 2143 | |
| 2144 ComplexColumnVector | |
| 2145 ComplexMatrix::solve (MatrixType &typ, const ColumnVector& b, | |
| 2146 octave_idx_type& info) const | |
| 2147 { | |
| 2148 double rcond; | |
| 2149 return solve (typ, ComplexColumnVector (b), info, rcond, 0); | |
| 2150 } | |
| 2151 | |
| 2152 ComplexColumnVector | |
| 2153 ComplexMatrix::solve (MatrixType &typ, const ColumnVector& b, | |
| 2154 octave_idx_type& info, double& rcond) const | |
| 2155 { | |
| 2156 return solve (typ, ComplexColumnVector (b), info, rcond, 0); | |
| 2157 } | |
| 2158 | |
| 2159 ComplexColumnVector | |
| 2160 ComplexMatrix::solve (MatrixType &typ, const ColumnVector& b, | |
| 2161 octave_idx_type& info, double& rcond, | |
| 2162 solve_singularity_handler sing_handler) const | |
| 2163 { | |
| 2164 return solve (typ, ComplexColumnVector (b), info, rcond, sing_handler); | |
| 2165 } | |
| 2166 | |
| 2167 ComplexColumnVector | |
| 2168 ComplexMatrix::solve (MatrixType &typ, const ComplexColumnVector& b) const | |
| 2169 { | |
| 2170 octave_idx_type info; | |
| 2171 double rcond; | |
| 2172 return solve (typ, b, info, rcond, 0); | |
| 2173 } | |
| 2174 | |
| 2175 ComplexColumnVector | |
| 2176 ComplexMatrix::solve (MatrixType &typ, const ComplexColumnVector& b, | |
| 2177 octave_idx_type& info) const | |
| 2178 { | |
| 2179 double rcond; | |
| 2180 return solve (typ, b, info, rcond, 0); | |
| 2181 } | |
| 2182 | |
| 2183 ComplexColumnVector | |
| 2184 ComplexMatrix::solve (MatrixType &typ, const ComplexColumnVector& b, | |
| 2185 octave_idx_type& info, double& rcond) const | |
| 2186 { | |
| 2187 return solve (typ, b, info, rcond, 0); | |
| 2188 } | |
| 2189 | |
| 2190 ComplexColumnVector | |
| 2191 ComplexMatrix::solve (MatrixType &typ, const ComplexColumnVector& b, | |
| 2192 octave_idx_type& info, double& rcond, | |
| 2193 solve_singularity_handler sing_handler) const | |
| 2194 { | |
| 2195 | |
| 2196 ComplexMatrix tmp (b); | |
| 2197 return solve (typ, tmp, info, rcond, sing_handler).column(static_cast<octave_idx_type> (0)); | |
| 2198 } | |
| 2199 | |
| 2200 ComplexMatrix | |
| 458 | 2201 ComplexMatrix::solve (const Matrix& b) const |
| 2202 { | |
| 5275 | 2203 octave_idx_type info; |
| 458 | 2204 double rcond; |
| 3480 | 2205 return solve (b, info, rcond, 0); |
| 458 | 2206 } |
| 2207 | |
| 2208 ComplexMatrix | |
| 5275 | 2209 ComplexMatrix::solve (const Matrix& b, octave_idx_type& info) const |
| 458 | 2210 { |
| 2211 double rcond; | |
| 3480 | 2212 return solve (b, info, rcond, 0); |
| 458 | 2213 } |
| 2214 | |
| 2215 ComplexMatrix | |
| 5275 | 2216 ComplexMatrix::solve (const Matrix& b, octave_idx_type& info, double& rcond) const |
| 458 | 2217 { |
| 3480 | 2218 return solve (b, info, rcond, 0); |
| 2219 } | |
| 2220 | |
| 2221 ComplexMatrix | |
| 5275 | 2222 ComplexMatrix::solve (const Matrix& b, octave_idx_type& info, double& rcond, |
| 3480 | 2223 solve_singularity_handler sing_handler) const |
| 2224 { | |
| 458 | 2225 ComplexMatrix tmp (b); |
| 3480 | 2226 return solve (tmp, info, rcond, sing_handler); |
| 458 | 2227 } |
| 2228 | |
| 2229 ComplexMatrix | |
| 2230 ComplexMatrix::solve (const ComplexMatrix& b) const | |
| 2231 { | |
| 5275 | 2232 octave_idx_type info; |
| 458 | 2233 double rcond; |
| 3480 | 2234 return solve (b, info, rcond, 0); |
| 458 | 2235 } |
| 2236 | |
| 2237 ComplexMatrix | |
| 5275 | 2238 ComplexMatrix::solve (const ComplexMatrix& b, octave_idx_type& info) const |
| 458 | 2239 { |
| 2240 double rcond; | |
| 3480 | 2241 return solve (b, info, rcond, 0); |
| 458 | 2242 } |
| 3480 | 2243 |
| 458 | 2244 ComplexMatrix |
| 5275 | 2245 ComplexMatrix::solve (const ComplexMatrix& b, octave_idx_type& info, double& rcond) const |
| 458 | 2246 { |
| 3480 | 2247 return solve (b, info, rcond, 0); |
| 2248 } | |
| 2249 | |
| 2250 ComplexMatrix | |
| 5275 | 2251 ComplexMatrix::solve (const ComplexMatrix& b, octave_idx_type& info, double& rcond, |
| 3480 | 2252 solve_singularity_handler sing_handler) const |
| 2253 { | |
| 5785 | 2254 MatrixType mattype (*this); |
| 6060 | 2255 return solve (mattype, b, info, rcond, sing_handler); |
| 458 | 2256 } |
| 2257 | |
| 2258 ComplexColumnVector | |
| 3585 | 2259 ComplexMatrix::solve (const ColumnVector& b) const |
| 2260 { | |
| 5275 | 2261 octave_idx_type info; |
| 3585 | 2262 double rcond; |
| 2263 return solve (ComplexColumnVector (b), info, rcond, 0); | |
| 2264 } | |
| 2265 | |
| 2266 ComplexColumnVector | |
| 5275 | 2267 ComplexMatrix::solve (const ColumnVector& b, octave_idx_type& info) const |
| 3585 | 2268 { |
| 2269 double rcond; | |
| 2270 return solve (ComplexColumnVector (b), info, rcond, 0); | |
| 2271 } | |
| 2272 | |
| 2273 ComplexColumnVector | |
| 5785 | 2274 ComplexMatrix::solve (const ColumnVector& b, octave_idx_type& info, |
| 2275 double& rcond) const | |
| 3585 | 2276 { |
| 2277 return solve (ComplexColumnVector (b), info, rcond, 0); | |
| 2278 } | |
| 2279 | |
| 2280 ComplexColumnVector | |
| 5785 | 2281 ComplexMatrix::solve (const ColumnVector& b, octave_idx_type& info, |
| 2282 double& rcond, | |
| 3585 | 2283 solve_singularity_handler sing_handler) const |
| 2284 { | |
| 2285 return solve (ComplexColumnVector (b), info, rcond, sing_handler); | |
| 2286 } | |
| 2287 | |
| 2288 ComplexColumnVector | |
| 458 | 2289 ComplexMatrix::solve (const ComplexColumnVector& b) const |
| 2290 { | |
| 5275 | 2291 octave_idx_type info; |
| 458 | 2292 double rcond; |
| 3480 | 2293 return solve (b, info, rcond, 0); |
| 458 | 2294 } |
| 2295 | |
| 2296 ComplexColumnVector | |
| 5275 | 2297 ComplexMatrix::solve (const ComplexColumnVector& b, octave_idx_type& info) const |
| 458 | 2298 { |
| 2299 double rcond; | |
| 3480 | 2300 return solve (b, info, rcond, 0); |
| 458 | 2301 } |
| 2302 | |
| 2303 ComplexColumnVector | |
| 5275 | 2304 ComplexMatrix::solve (const ComplexColumnVector& b, octave_idx_type& info, |
| 532 | 2305 double& rcond) const |
| 458 | 2306 { |
| 3480 | 2307 return solve (b, info, rcond, 0); |
| 2308 } | |
| 2309 | |
| 2310 ComplexColumnVector | |
| 5275 | 2311 ComplexMatrix::solve (const ComplexColumnVector& b, octave_idx_type& info, |
| 3480 | 2312 double& rcond, |
| 2313 solve_singularity_handler sing_handler) const | |
| 2314 { | |
| 5785 | 2315 MatrixType mattype (*this); |
| 2316 return solve (mattype, b, info, rcond, sing_handler); | |
| 458 | 2317 } |
| 2318 | |
| 2319 ComplexMatrix | |
| 3585 | 2320 ComplexMatrix::lssolve (const Matrix& b) const |
| 2321 { | |
| 5275 | 2322 octave_idx_type info; |
| 2323 octave_idx_type rank; | |
| 7076 | 2324 double rcond; |
| 2325 return lssolve (ComplexMatrix (b), info, rank, rcond); | |
| 3585 | 2326 } |
| 2327 | |
| 2328 ComplexMatrix | |
| 5275 | 2329 ComplexMatrix::lssolve (const Matrix& b, octave_idx_type& info) const |
| 3585 | 2330 { |
| 5275 | 2331 octave_idx_type rank; |
| 7076 | 2332 double rcond; |
| 2333 return lssolve (ComplexMatrix (b), info, rank, rcond); | |
| 3585 | 2334 } |
| 2335 | |
| 2336 ComplexMatrix | |
| 7076 | 2337 ComplexMatrix::lssolve (const Matrix& b, octave_idx_type& info, |
| 2338 octave_idx_type& rank) const | |
| 3585 | 2339 { |
| 7076 | 2340 double rcond; |
| 2341 return lssolve (ComplexMatrix (b), info, rank, rcond); | |
| 2342 } | |
| 2343 | |
| 2344 ComplexMatrix | |
| 2345 ComplexMatrix::lssolve (const Matrix& b, octave_idx_type& info, | |
| 2346 octave_idx_type& rank, double& rcond) const | |
| 2347 { | |
| 2348 return lssolve (ComplexMatrix (b), info, rank, rcond); | |
| 3585 | 2349 } |
| 2350 | |
| 2351 ComplexMatrix | |
| 458 | 2352 ComplexMatrix::lssolve (const ComplexMatrix& b) const |
| 2353 { | |
| 5275 | 2354 octave_idx_type info; |
| 2355 octave_idx_type rank; | |
| 7076 | 2356 double rcond; |
| 2357 return lssolve (b, info, rank, rcond); | |
| 458 | 2358 } |
| 2359 | |
| 2360 ComplexMatrix | |
| 5275 | 2361 ComplexMatrix::lssolve (const ComplexMatrix& b, octave_idx_type& info) const |
| 458 | 2362 { |
| 5275 | 2363 octave_idx_type rank; |
| 7076 | 2364 double rcond; |
| 2365 return lssolve (b, info, rank, rcond); | |
| 458 | 2366 } |
| 2367 | |
| 2368 ComplexMatrix | |
| 7076 | 2369 ComplexMatrix::lssolve (const ComplexMatrix& b, octave_idx_type& info, |
| 2370 octave_idx_type& rank) const | |
| 2371 { | |
| 2372 double rcond; | |
| 2373 return lssolve (b, info, rank, rcond); | |
| 2374 } | |
| 2375 | |
| 2376 ComplexMatrix | |
| 2377 ComplexMatrix::lssolve (const ComplexMatrix& b, octave_idx_type& info, | |
| 2378 octave_idx_type& rank, double& rcond) const | |
| 458 | 2379 { |
| 1948 | 2380 ComplexMatrix retval; |
| 2381 | |
| 5275 | 2382 octave_idx_type nrhs = b.cols (); |
| 2383 | |
| 2384 octave_idx_type m = rows (); | |
| 2385 octave_idx_type n = cols (); | |
| 458 | 2386 |
| 6924 | 2387 if (m != b.rows ()) |
| 1948 | 2388 (*current_liboctave_error_handler) |
| 2389 ("matrix dimension mismatch solution of linear equations"); | |
| 6924 | 2390 else if (m== 0 || n == 0 || b.cols () == 0) |
| 2391 retval = ComplexMatrix (n, b.cols (), Complex (0.0, 0.0)); | |
| 1948 | 2392 else |
| 458 | 2393 { |
| 7072 | 2394 volatile octave_idx_type minmn = (m < n ? m : n); |
| 2395 octave_idx_type maxmn = m > n ? m : n; | |
| 7076 | 2396 rcond = -1.0; |
| 7072 | 2397 |
| 2398 if (m != n) | |
| 2399 { | |
| 2400 retval = ComplexMatrix (maxmn, nrhs); | |
| 2401 | |
| 2402 for (octave_idx_type j = 0; j < nrhs; j++) | |
| 2403 for (octave_idx_type i = 0; i < m; i++) | |
| 2404 retval.elem (i, j) = b.elem (i, j); | |
| 2405 } | |
| 2406 else | |
| 2407 retval = b; | |
| 2408 | |
| 1948 | 2409 ComplexMatrix atmp = *this; |
| 2410 Complex *tmp_data = atmp.fortran_vec (); | |
| 2411 | |
| 7072 | 2412 Complex *pretval = retval.fortran_vec (); |
| 2413 Array<double> s (minmn); | |
| 7071 | 2414 double *ps = s.fortran_vec (); |
| 2563 | 2415 |
| 7072 | 2416 // Ask ZGELSD what the dimension of WORK should be. |
| 5275 | 2417 octave_idx_type lwork = -1; |
| 3752 | 2418 |
| 2419 Array<Complex> work (1); | |
| 7079 | 2420 |
| 7477 | 2421 octave_idx_type smlsiz; |
| 2422 F77_FUNC (xilaenv, XILAENV) (9, F77_CONST_CHAR_ARG2 ("ZGELSD", 6), | |
| 2423 F77_CONST_CHAR_ARG2 (" ", 1), | |
| 7478 | 2424 0, 0, 0, 0, smlsiz |
| 7477 | 2425 F77_CHAR_ARG_LEN (6) |
| 7478 | 2426 F77_CHAR_ARG_LEN (1)); |
| 7079 | 2427 |
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2428 octave_idx_type mnthr; |
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2429 F77_FUNC (xilaenv, XILAENV) (6, F77_CONST_CHAR_ARG2 ("ZGELSD", 6), |
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2430 F77_CONST_CHAR_ARG2 (" ", 1), |
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2431 m, n, nrhs, -1, mnthr |
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2432 F77_CHAR_ARG_LEN (6) |
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2433 F77_CHAR_ARG_LEN (1)); |
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2434 |
| 7079 | 2435 // We compute the size of rwork and iwork because ZGELSD in |
| 2436 // older versions of LAPACK does not return them on a query | |
| 2437 // call. | |
| 7124 | 2438 double dminmn = static_cast<double> (minmn); |
| 2439 double dsmlsizp1 = static_cast<double> (smlsiz+1); | |
| 7079 | 2440 #if defined (HAVE_LOG2) |
| 7124 | 2441 double tmp = log2 (dminmn) / dsmlsizp1 + 1; |
| 7079 | 2442 #else |
| 7124 | 2443 double tmp = log (dminmn) / dsmlsizp1 / log (2.0) + 1; |
| 7079 | 2444 #endif |
| 2445 octave_idx_type nlvl = static_cast<int> (tmp); | |
| 2446 if (nlvl < 0) | |
| 2447 nlvl = 0; | |
| 2448 | |
| 2449 octave_idx_type lrwork = minmn*(10 + 2*smlsiz + 8*nlvl) | |
| 2450 + 3*smlsiz*nrhs + (smlsiz+1)*(smlsiz+1); | |
| 2451 if (lrwork < 1) | |
| 2452 lrwork = 1; | |
| 2453 Array<double> rwork (lrwork); | |
| 2454 double *prwork = rwork.fortran_vec (); | |
| 2455 | |
| 2456 octave_idx_type liwork = 3 * minmn * nlvl + 11 * minmn; | |
| 2457 if (liwork < 1) | |
| 2458 liwork = 1; | |
| 2459 Array<octave_idx_type> iwork (liwork); | |
| 2460 octave_idx_type* piwork = iwork.fortran_vec (); | |
| 7072 | 2461 |
| 2462 F77_XFCN (zgelsd, ZGELSD, (m, n, nrhs, tmp_data, m, pretval, maxmn, | |
| 2463 ps, rcond, rank, work.fortran_vec (), | |
| 7079 | 2464 lwork, prwork, piwork, info)); |
| 1948 | 2465 |
| 7476 | 2466 // The workspace query is broken in at least LAPACK 3.0.0 |
|
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2467 // through 3.1.1 when n >= mnthr. The obtuse formula below |
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2468 // should provide sufficient workspace for ZGELSD to operate |
| 7476 | 2469 // efficiently. |
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|
2470 if (n >= mnthr) |
| 7476 | 2471 { |
| 2472 octave_idx_type addend = m; | |
| 2473 | |
| 2474 if (2*m-4 > addend) | |
| 2475 addend = 2*m-4; | |
| 2476 | |
| 2477 if (nrhs > addend) | |
| 2478 addend = nrhs; | |
| 2479 | |
| 2480 if (n-3*m > addend) | |
| 2481 addend = n-3*m; | |
| 2482 | |
| 2483 const octave_idx_type lworkaround = 4*m + m*m + addend; | |
| 2484 | |
| 2485 if (std::real (work(0)) < lworkaround) | |
| 2486 work(0) = lworkaround; | |
| 2487 } | |
| 2488 | |
|
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2489 lwork = static_cast<octave_idx_type> (std::real (work(0))); |
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2490 work.resize (lwork); |
|
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2491 |
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2492 F77_XFCN (zgelsd, ZGELSD, (m, n, nrhs, tmp_data, m, pretval, |
|
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2493 maxmn, ps, rcond, rank, |
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2494 work.fortran_vec (), lwork, |
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2495 prwork, piwork, info)); |
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2496 |
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2497 if (rank < minmn) |
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2498 (*current_liboctave_warning_handler) |
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2499 ("zgelsd: rank deficient %dx%d matrix, rank = %d, tol = %e", |
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2500 m, n, rank, rcond); |
|
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2501 |
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2502 if (s.elem (0) == 0.0) |
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2503 rcond = 0.0; |
| 1948 | 2504 else |
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2505 rcond = s.elem (minmn - 1) / s.elem (0); |
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|
2506 |
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|
2507 retval.resize (n, nrhs); |
| 458 | 2508 } |
| 2509 | |
| 2510 return retval; | |
| 2511 } | |
| 2512 | |
| 2513 ComplexColumnVector | |
| 3585 | 2514 ComplexMatrix::lssolve (const ColumnVector& b) const |
| 2515 { | |
| 5275 | 2516 octave_idx_type info; |
| 2517 octave_idx_type rank; | |
| 7076 | 2518 double rcond; |
| 2519 return lssolve (ComplexColumnVector (b), info, rank, rcond); | |
| 3585 | 2520 } |
| 2521 | |
| 2522 ComplexColumnVector | |
| 5275 | 2523 ComplexMatrix::lssolve (const ColumnVector& b, octave_idx_type& info) const |
| 3585 | 2524 { |
| 5275 | 2525 octave_idx_type rank; |
| 7076 | 2526 double rcond; |
| 2527 return lssolve (ComplexColumnVector (b), info, rank, rcond); | |
| 3585 | 2528 } |
| 2529 | |
| 2530 ComplexColumnVector | |
| 7076 | 2531 ComplexMatrix::lssolve (const ColumnVector& b, octave_idx_type& info, |
| 2532 octave_idx_type& rank) const | |
| 3585 | 2533 { |
| 7076 | 2534 double rcond; |
| 2535 return lssolve (ComplexColumnVector (b), info, rank, rcond); | |
| 2536 } | |
| 2537 | |
| 2538 ComplexColumnVector | |
| 2539 ComplexMatrix::lssolve (const ColumnVector& b, octave_idx_type& info, | |
| 2540 octave_idx_type& rank, double& rcond) const | |
| 2541 { | |
| 2542 return lssolve (ComplexColumnVector (b), info, rank, rcond); | |
| 3585 | 2543 } |
| 2544 | |
| 2545 ComplexColumnVector | |
| 458 | 2546 ComplexMatrix::lssolve (const ComplexColumnVector& b) const |
| 2547 { | |
| 5275 | 2548 octave_idx_type info; |
| 2549 octave_idx_type rank; | |
| 7076 | 2550 double rcond; |
| 2551 return lssolve (b, info, rank, rcond); | |
| 458 | 2552 } |
| 2553 | |
| 2554 ComplexColumnVector | |
| 5275 | 2555 ComplexMatrix::lssolve (const ComplexColumnVector& b, octave_idx_type& info) const |
| 458 | 2556 { |
| 5275 | 2557 octave_idx_type rank; |
| 7076 | 2558 double rcond; |
| 2559 return lssolve (b, info, rank, rcond); | |
| 458 | 2560 } |
| 2561 | |
| 2562 ComplexColumnVector | |
| 5275 | 2563 ComplexMatrix::lssolve (const ComplexColumnVector& b, octave_idx_type& info, |
| 2564 octave_idx_type& rank) const | |
| 458 | 2565 { |
| 7076 | 2566 double rcond; |
| 2567 return lssolve (b, info, rank, rcond); | |
| 2568 | |
| 2569 } | |
| 2570 | |
| 2571 ComplexColumnVector | |
| 2572 ComplexMatrix::lssolve (const ComplexColumnVector& b, octave_idx_type& info, | |
| 2573 octave_idx_type& rank, double& rcond) const | |
| 2574 { | |
| 1948 | 2575 ComplexColumnVector retval; |
| 2576 | |
| 5275 | 2577 octave_idx_type nrhs = 1; |
| 2578 | |
| 2579 octave_idx_type m = rows (); | |
| 2580 octave_idx_type n = cols (); | |
| 458 | 2581 |
| 6924 | 2582 if (m != b.length ()) |
| 1948 | 2583 (*current_liboctave_error_handler) |
| 6924 | 2584 ("matrix dimension mismatch solution of linear equations"); |
| 2585 else if (m == 0 || n == 0 || b.cols () == 0) | |
| 2586 retval = ComplexColumnVector (n, Complex (0.0, 0.0)); | |
| 1948 | 2587 else |
| 458 | 2588 { |
| 7072 | 2589 volatile octave_idx_type minmn = (m < n ? m : n); |
| 2590 octave_idx_type maxmn = m > n ? m : n; | |
| 7076 | 2591 rcond = -1.0; |
| 7072 | 2592 |
| 2593 if (m != n) | |
| 2594 { | |
| 2595 retval = ComplexColumnVector (maxmn); | |
| 2596 | |
| 2597 for (octave_idx_type i = 0; i < m; i++) | |
| 2598 retval.elem (i) = b.elem (i); | |
| 2599 } | |
| 2600 else | |
| 2601 retval = b; | |
| 2602 | |
| 1948 | 2603 ComplexMatrix atmp = *this; |
| 2604 Complex *tmp_data = atmp.fortran_vec (); | |
| 2605 | |
| 7072 | 2606 Complex *pretval = retval.fortran_vec (); |
| 2607 Array<double> s (minmn); | |
| 7071 | 2608 double *ps = s.fortran_vec (); |
| 1948 | 2609 |
| 7072 | 2610 // Ask ZGELSD what the dimension of WORK should be. |
| 5275 | 2611 octave_idx_type lwork = -1; |
| 3752 | 2612 |
| 2613 Array<Complex> work (1); | |
| 7079 | 2614 |
| 2615 // FIXME: Can SMLSIZ be other than 25? | |
| 2616 octave_idx_type smlsiz = 25; | |
| 2617 | |
| 2618 // We compute the size of rwork and iwork because ZGELSD in | |
| 2619 // older versions of LAPACK does not return them on a query | |
| 2620 // call. | |
| 7124 | 2621 double dminmn = static_cast<double> (minmn); |
| 2622 double dsmlsizp1 = static_cast<double> (smlsiz+1); | |
| 7079 | 2623 #if defined (HAVE_LOG2) |
| 7124 | 2624 double tmp = log2 (dminmn) / dsmlsizp1 + 1; |
| 7079 | 2625 #else |
| 7124 | 2626 double tmp = log (dminmn) / dsmlsizp1 / log (2.0) + 1; |
| 7079 | 2627 #endif |
| 2628 octave_idx_type nlvl = static_cast<int> (tmp); | |
| 2629 if (nlvl < 0) | |
| 2630 nlvl = 0; | |
| 2631 | |
| 2632 octave_idx_type lrwork = minmn*(10 + 2*smlsiz + 8*nlvl) | |
| 2633 + 3*smlsiz*nrhs + (smlsiz+1)*(smlsiz+1); | |
| 2634 if (lrwork < 1) | |
| 2635 lrwork = 1; | |
| 2636 Array<double> rwork (lrwork); | |
| 2637 double *prwork = rwork.fortran_vec (); | |
| 2638 | |
| 2639 octave_idx_type liwork = 3 * minmn * nlvl + 11 * minmn; | |
| 2640 if (liwork < 1) | |
| 2641 liwork = 1; | |
| 2642 Array<octave_idx_type> iwork (liwork); | |
| 2643 octave_idx_type* piwork = iwork.fortran_vec (); | |
| 7072 | 2644 |
| 2645 F77_XFCN (zgelsd, ZGELSD, (m, n, nrhs, tmp_data, m, pretval, maxmn, | |
| 2646 ps, rcond, rank, work.fortran_vec (), | |
| 7079 | 2647 lwork, prwork, piwork, info)); |
| 1948 | 2648 |
|
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|
2649 lwork = static_cast<octave_idx_type> (std::real (work(0))); |
|
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2650 work.resize (lwork); |
|
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|
2651 rwork.resize (static_cast<octave_idx_type> (rwork(0))); |
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2652 iwork.resize (iwork(0)); |
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|
2653 |
|
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|
2654 F77_XFCN (zgelsd, ZGELSD, (m, n, nrhs, tmp_data, m, pretval, |
|
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|
2655 maxmn, ps, rcond, rank, |
|
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|
2656 work.fortran_vec (), lwork, |
|
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|
2657 prwork, piwork, info)); |
|
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|
2658 |
|
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|
2659 if (rank < minmn) |
| 1948 | 2660 { |
|
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|
2661 if (rank < minmn) |
|
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|
2662 (*current_liboctave_warning_handler) |
|
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|
2663 ("zgelsd: rank deficient %dx%d matrix, rank = %d, tol = %e", |
|
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|
2664 m, n, rank, rcond); |
|
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|
2665 |
|
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|
2666 if (s.elem (0) == 0.0) |
|
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|
2667 rcond = 0.0; |
|
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|
2668 else |
|
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changeset
|
2669 rcond = s.elem (minmn - 1) / s.elem (0); |
|
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changeset
|
2670 |
|
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|
2671 retval.resize (n, nrhs); |
| 1948 | 2672 } |
| 458 | 2673 } |
| 2674 | |
| 2675 return retval; | |
| 2676 } | |
| 2677 | |
| 1819 | 2678 // Constants for matrix exponential calculation. |
| 2679 | |
| 2680 static double padec [] = | |
| 2681 { | |
| 2682 5.0000000000000000e-1, | |
| 2683 1.1666666666666667e-1, | |
| 2684 1.6666666666666667e-2, | |
| 2685 1.6025641025641026e-3, | |
| 2686 1.0683760683760684e-4, | |
| 2687 4.8562548562548563e-6, | |
| 2688 1.3875013875013875e-7, | |
| 2689 1.9270852604185938e-9, | |
| 2690 }; | |
| 2691 | |
| 7400 | 2692 static void |
| 2693 solve_singularity_warning (double rcond) | |
| 2694 { | |
| 2695 (*current_liboctave_warning_handler) | |
| 2696 ("singular matrix encountered in expm calculation, rcond = %g", | |
| 2697 rcond); | |
| 2698 } | |
| 2699 | |
| 1819 | 2700 ComplexMatrix |
| 2701 ComplexMatrix::expm (void) const | |
| 2702 { | |
| 2703 ComplexMatrix retval; | |
| 2704 | |
| 2705 ComplexMatrix m = *this; | |
| 2706 | |
| 5275 | 2707 octave_idx_type nc = columns (); |
| 1819 | 2708 |
| 3130 | 2709 // Preconditioning step 1: trace normalization to reduce dynamic |
| 2710 // range of poles, but avoid making stable eigenvalues unstable. | |
| 2711 | |
| 1819 | 2712 // trace shift value |
| 2713 Complex trshift = 0.0; | |
| 2714 | |
| 5275 | 2715 for (octave_idx_type i = 0; i < nc; i++) |
| 1819 | 2716 trshift += m.elem (i, i); |
| 2717 | |
| 2718 trshift /= nc; | |
| 2719 | |
| 3130 | 2720 if (trshift.real () < 0.0) |
| 6958 | 2721 { |
| 2722 trshift = trshift.imag (); | |
| 2723 if (trshift.real () > 709.0) | |
| 2724 trshift = 709.0; | |
| 2725 } | |
| 3130 | 2726 |
| 5275 | 2727 for (octave_idx_type i = 0; i < nc; i++) |
| 1819 | 2728 m.elem (i, i) -= trshift; |
| 2729 | |
| 2730 // Preconditioning step 2: eigenvalue balancing. | |
| 3331 | 2731 // code follows development in AEPBAL |
| 2732 | |
| 2733 Complex *mp = m.fortran_vec (); | |
| 3467 | 2734 |
| 5275 | 2735 octave_idx_type info, ilo, ihi,ilos,ihis; |
| 3468 | 2736 Array<double> dpermute (nc); |
| 2737 Array<double> dscale (nc); | |
| 2738 | |
| 5775 | 2739 // FIXME -- should pass job as a parameter in expm |
| 3468 | 2740 |
| 2741 // Permute first | |
| 2742 char job = 'P'; | |
| 4552 | 2743 F77_XFCN (zgebal, ZGEBAL, (F77_CONST_CHAR_ARG2 (&job, 1), |
| 2744 nc, mp, nc, ilo, ihi, | |
| 2745 dpermute.fortran_vec (), info | |
| 2746 F77_CHAR_ARG_LEN (1))); | |
| 3331 | 2747 |
| 3468 | 2748 // then scale |
| 2749 job = 'S'; | |
| 4552 | 2750 F77_XFCN (zgebal, ZGEBAL, (F77_CONST_CHAR_ARG2 (&job, 1), |
| 2751 nc, mp, nc, ilos, ihis, | |
| 2752 dscale.fortran_vec (), info | |
| 2753 F77_CHAR_ARG_LEN (1))); | |
| 3331 | 2754 |
| 1819 | 2755 // Preconditioning step 3: scaling. |
| 2756 | |
| 2757 ColumnVector work (nc); | |
| 3130 | 2758 double inf_norm; |
| 2759 | |
| 4552 | 2760 F77_XFCN (xzlange, XZLANGE, (F77_CONST_CHAR_ARG2 ("I", 1), |
| 2761 nc, nc, m.fortran_vec (), nc, | |
| 2762 work.fortran_vec (), inf_norm | |
| 2763 F77_CHAR_ARG_LEN (1))); | |
| 3331 | 2764 |
| 2800 | 2765 int sqpow = (inf_norm > 0.0 |
| 2766 ? static_cast<int> (1.0 + log (inf_norm) / log (2.0)) : 0); | |
| 1819 | 2767 |
| 2768 // Check whether we need to square at all. | |
| 2769 | |
| 2770 if (sqpow < 0) | |
| 2771 sqpow = 0; | |
| 2772 | |
| 2773 if (sqpow > 0) | |
| 2774 { | |
| 7400 | 2775 if (sqpow > 1023) |
| 2776 sqpow = 1023; | |
| 2777 | |
| 1819 | 2778 double scale_factor = 1.0; |
| 5275 | 2779 for (octave_idx_type i = 0; i < sqpow; i++) |
| 1819 | 2780 scale_factor *= 2.0; |
| 2781 | |
| 2782 m = m / scale_factor; | |
| 2783 } | |
| 2784 | |
| 2785 // npp, dpp: pade' approx polynomial matrices. | |
| 2786 | |
| 2787 ComplexMatrix npp (nc, nc, 0.0); | |
| 6958 | 2788 Complex *pnpp = npp.fortran_vec (); |
| 1819 | 2789 ComplexMatrix dpp = npp; |
| 6958 | 2790 Complex *pdpp = dpp.fortran_vec (); |
| 1819 | 2791 |
| 2792 // Now powers a^8 ... a^1. | |
| 2793 | |
| 2794 int minus_one_j = -1; | |
| 5275 | 2795 for (octave_idx_type j = 7; j >= 0; j--) |
| 1819 | 2796 { |
| 6958 | 2797 for (octave_idx_type i = 0; i < nc; i++) |
| 2798 { | |
| 2799 octave_idx_type k = i * nc + i; | |
| 7265 | 2800 pnpp[k] += padec[j]; |
| 2801 pdpp[k] += minus_one_j * padec[j]; | |
| 6958 | 2802 } |
| 7265 | 2803 |
| 6958 | 2804 npp = m * npp; |
| 7265 | 2805 pnpp = npp.fortran_vec (); |
| 2806 | |
| 6958 | 2807 dpp = m * dpp; |
| 7265 | 2808 pdpp = dpp.fortran_vec (); |
| 2809 | |
| 1819 | 2810 minus_one_j *= -1; |
| 2811 } | |
| 2812 | |
| 2813 // Zero power. | |
| 2814 | |
| 2815 dpp = -dpp; | |
| 5275 | 2816 for (octave_idx_type j = 0; j < nc; j++) |
| 1819 | 2817 { |
| 2818 npp.elem (j, j) += 1.0; | |
| 2819 dpp.elem (j, j) += 1.0; | |
| 2820 } | |
| 2821 | |
| 2822 // Compute pade approximation = inverse (dpp) * npp. | |
| 2823 | |
| 7400 | 2824 double rcond; |
| 2825 retval = dpp.solve (npp, info, rcond, solve_singularity_warning); | |
| 2826 | |
| 2827 if (info < 0) | |
| 2828 return retval; | |
| 2829 | |
| 1819 | 2830 // Reverse preconditioning step 3: repeated squaring. |
| 2831 | |
| 2832 while (sqpow) | |
| 2833 { | |
| 2834 retval = retval * retval; | |
| 2835 sqpow--; | |
| 2836 } | |
| 2837 | |
| 2838 // Reverse preconditioning step 2: inverse balancing. | |
| 3467 | 2839 // Done in two steps: inverse scaling, then inverse permutation |
| 2840 | |
| 2841 // inverse scaling (diagonal transformation) | |
| 5275 | 2842 for (octave_idx_type i = 0; i < nc; i++) |
| 2843 for (octave_idx_type j = 0; j < nc; j++) | |
| 3468 | 2844 retval(i,j) *= dscale(i) / dscale(j); |
| 3467 | 2845 |
| 4153 | 2846 OCTAVE_QUIT; |
| 2847 | |
| 3467 | 2848 // construct balancing permutation vector |
| 6867 | 2849 Array<octave_idx_type> iperm (nc); |
| 5275 | 2850 for (octave_idx_type i = 0; i < nc; i++) |
| 4593 | 2851 iperm(i) = i; // initialize to identity permutation |
| 3467 | 2852 |
| 2853 // leading permutations in forward order | |
| 5275 | 2854 for (octave_idx_type i = 0; i < (ilo-1); i++) |
| 3468 | 2855 { |
| 6867 | 2856 octave_idx_type swapidx = static_cast<octave_idx_type> (dpermute(i)) - 1; |
| 5275 | 2857 octave_idx_type tmp = iperm(i); |
| 4593 | 2858 iperm(i) = iperm(swapidx); |
| 2859 iperm(swapidx) = tmp; | |
| 3468 | 2860 } |
| 3467 | 2861 |
| 7416 | 2862 // construct inverse balancing permutation vector |
| 2863 Array<octave_idx_type> invpvec (nc); | |
| 2864 for (octave_idx_type i = 0; i < nc; i++) | |
| 2865 invpvec(iperm(i)) = i; // Thanks to R. A. Lippert for this method | |
| 2866 | |
| 2867 OCTAVE_QUIT; | |
| 2868 | |
| 2869 ComplexMatrix tmpMat = retval; | |
| 2870 for (octave_idx_type i = 0; i < nc; i++) | |
| 2871 for (octave_idx_type j = 0; j < nc; j++) | |
| 2872 retval(i,j) = tmpMat(invpvec(i),invpvec(j)); | |
| 2873 | |
| 2874 OCTAVE_QUIT; | |
| 2875 | |
| 2876 for (octave_idx_type i = 0; i < nc; i++) | |
| 2877 iperm(i) = i; // initialize to identity permutation | |
| 2878 | |
| 3467 | 2879 // trailing permutations must be done in reverse order |
| 5275 | 2880 for (octave_idx_type i = nc - 1; i >= ihi; i--) |
| 3468 | 2881 { |
| 6867 | 2882 octave_idx_type swapidx = static_cast<octave_idx_type> (dpermute(i)) - 1; |
| 5275 | 2883 octave_idx_type tmp = iperm(i); |
| 4593 | 2884 iperm(i) = iperm(swapidx); |
| 2885 iperm(swapidx) = tmp; | |
| 3468 | 2886 } |
| 3467 | 2887 |
| 2888 // construct inverse balancing permutation vector | |
| 5275 | 2889 for (octave_idx_type i = 0; i < nc; i++) |
| 4593 | 2890 invpvec(iperm(i)) = i; // Thanks to R. A. Lippert for this method |
| 3467 | 2891 |
| 4153 | 2892 OCTAVE_QUIT; |
| 2893 | |
| 7416 | 2894 tmpMat = retval; |
| 5275 | 2895 for (octave_idx_type i = 0; i < nc; i++) |
| 2896 for (octave_idx_type j = 0; j < nc; j++) | |
| 3468 | 2897 retval(i,j) = tmpMat(invpvec(i),invpvec(j)); |
| 1819 | 2898 |
| 2899 // Reverse preconditioning step 1: fix trace normalization. | |
| 2900 | |
| 3130 | 2901 return exp (trshift) * retval; |
| 1819 | 2902 } |
| 2903 | |
| 1205 | 2904 // column vector by row vector -> matrix operations |
| 2905 | |
| 2906 ComplexMatrix | |
| 2907 operator * (const ColumnVector& v, const ComplexRowVector& a) | |
| 2908 { | |
| 2909 ComplexColumnVector tmp (v); | |
| 2910 return tmp * a; | |
| 2911 } | |
| 2912 | |
| 2913 ComplexMatrix | |
| 2914 operator * (const ComplexColumnVector& a, const RowVector& b) | |
| 2915 { | |
| 2916 ComplexRowVector tmp (b); | |
| 2917 return a * tmp; | |
| 2918 } | |
| 2919 | |
| 2920 ComplexMatrix | |
| 2921 operator * (const ComplexColumnVector& v, const ComplexRowVector& a) | |
| 2922 { | |
| 1948 | 2923 ComplexMatrix retval; |
| 2924 | |
| 5275 | 2925 octave_idx_type len = v.length (); |
| 3233 | 2926 |
| 2927 if (len != 0) | |
| 1205 | 2928 { |
| 5275 | 2929 octave_idx_type a_len = a.length (); |
| 3233 | 2930 |
| 2931 retval.resize (len, a_len); | |
| 2932 Complex *c = retval.fortran_vec (); | |
| 2933 | |
| 4552 | 2934 F77_XFCN (zgemm, ZGEMM, (F77_CONST_CHAR_ARG2 ("N", 1), |
| 2935 F77_CONST_CHAR_ARG2 ("N", 1), | |
| 2936 len, a_len, 1, 1.0, v.data (), len, | |
| 2937 a.data (), 1, 0.0, c, len | |
| 2938 F77_CHAR_ARG_LEN (1) | |
| 2939 F77_CHAR_ARG_LEN (1))); | |
| 1205 | 2940 } |
| 2941 | |
| 1948 | 2942 return retval; |
| 1205 | 2943 } |
| 2944 | |
| 458 | 2945 // matrix by diagonal matrix -> matrix operations |
| 2946 | |
| 2947 ComplexMatrix& | |
| 2948 ComplexMatrix::operator += (const DiagMatrix& a) | |
| 2949 { | |
| 5275 | 2950 octave_idx_type nr = rows (); |
| 2951 octave_idx_type nc = cols (); | |
| 2952 | |
| 2953 octave_idx_type a_nr = rows (); | |
| 2954 octave_idx_type a_nc = cols (); | |
| 2384 | 2955 |
| 2956 if (nr != a_nr || nc != a_nc) | |
| 458 | 2957 { |
| 2384 | 2958 gripe_nonconformant ("operator +=", nr, nc, a_nr, a_nc); |
| 889 | 2959 return *this; |
| 458 | 2960 } |
| 2961 | |
| 5275 | 2962 for (octave_idx_type i = 0; i < a.length (); i++) |
| 458 | 2963 elem (i, i) += a.elem (i, i); |
| 2964 | |
| 2965 return *this; | |
| 2966 } | |
| 2967 | |
| 2968 ComplexMatrix& | |
| 2969 ComplexMatrix::operator -= (const DiagMatrix& a) | |
| 2970 { | |
| 5275 | 2971 octave_idx_type nr = rows (); |
| 2972 octave_idx_type nc = cols (); | |
| 2973 | |
| 2974 octave_idx_type a_nr = rows (); | |
| 2975 octave_idx_type a_nc = cols (); | |
| 2384 | 2976 |
| 2977 if (nr != a_nr || nc != a_nc) | |
| 458 | 2978 { |
| 2384 | 2979 gripe_nonconformant ("operator -=", nr, nc, a_nr, a_nc); |
| 889 | 2980 return *this; |
| 458 | 2981 } |
| 2982 | |
| 5275 | 2983 for (octave_idx_type i = 0; i < a.length (); i++) |
| 458 | 2984 elem (i, i) -= a.elem (i, i); |
| 2985 | |
| 2986 return *this; | |
| 2987 } | |
| 2988 | |
| 2989 ComplexMatrix& | |
| 2990 ComplexMatrix::operator += (const ComplexDiagMatrix& a) | |
| 2991 { | |
| 5275 | 2992 octave_idx_type nr = rows (); |
| 2993 octave_idx_type nc = cols (); | |
| 2994 | |
| 2995 octave_idx_type a_nr = rows (); | |
| 2996 octave_idx_type a_nc = cols (); | |
| 2384 | 2997 |
| 2998 if (nr != a_nr || nc != a_nc) | |
| 458 | 2999 { |
| 2384 | 3000 gripe_nonconformant ("operator +=", nr, nc, a_nr, a_nc); |
| 889 | 3001 return *this; |
| 458 | 3002 } |
| 3003 | |
| 5275 | 3004 for (octave_idx_type i = 0; i < a.length (); i++) |
| 458 | 3005 elem (i, i) += a.elem (i, i); |
| 3006 | |
| 3007 return *this; | |
| 3008 } | |
| 3009 | |
| 3010 ComplexMatrix& | |
| 3011 ComplexMatrix::operator -= (const ComplexDiagMatrix& a) | |
| 3012 { | |
| 5275 | 3013 octave_idx_type nr = rows (); |
| 3014 octave_idx_type nc = cols (); | |
| 3015 | |
| 3016 octave_idx_type a_nr = rows (); | |
| 3017 octave_idx_type a_nc = cols (); | |
| 2384 | 3018 |
| 3019 if (nr != a_nr || nc != a_nc) | |
| 458 | 3020 { |
| 2384 | 3021 gripe_nonconformant ("operator -=", nr, nc, a_nr, a_nc); |
| 889 | 3022 return *this; |
| 458 | 3023 } |
| 3024 | |
| 5275 | 3025 for (octave_idx_type i = 0; i < a.length (); i++) |
| 458 | 3026 elem (i, i) -= a.elem (i, i); |
| 3027 | |
| 3028 return *this; | |
| 3029 } | |
| 3030 | |
| 3031 // matrix by matrix -> matrix operations | |
| 3032 | |
| 3033 ComplexMatrix& | |
| 3034 ComplexMatrix::operator += (const Matrix& a) | |
| 3035 { | |
| 5275 | 3036 octave_idx_type nr = rows (); |
| 3037 octave_idx_type nc = cols (); | |
| 3038 | |
| 3039 octave_idx_type a_nr = a.rows (); | |
| 3040 octave_idx_type a_nc = a.cols (); | |
| 2384 | 3041 |
| 3042 if (nr != a_nr || nc != a_nc) | |
| 458 | 3043 { |
| 2384 | 3044 gripe_nonconformant ("operator +=", nr, nc, a_nr, a_nc); |
| 458 | 3045 return *this; |
| 3046 } | |
| 3047 | |
| 3048 if (nr == 0 || nc == 0) | |
| 3049 return *this; | |
| 3050 | |
| 3051 Complex *d = fortran_vec (); // Ensures only one reference to my privates! | |
| 3052 | |
| 3769 | 3053 mx_inline_add2 (d, a.data (), length ()); |
| 458 | 3054 return *this; |
| 3055 } | |
| 3056 | |
| 3057 ComplexMatrix& | |
| 3058 ComplexMatrix::operator -= (const Matrix& a) | |
| 3059 { | |
| 5275 | 3060 octave_idx_type nr = rows (); |
| 3061 octave_idx_type nc = cols (); | |
| 3062 | |
| 3063 octave_idx_type a_nr = a.rows (); | |
| 3064 octave_idx_type a_nc = a.cols (); | |
| 2384 | 3065 |
| 3066 if (nr != a_nr || nc != a_nc) | |
| 458 | 3067 { |
| 2384 | 3068 gripe_nonconformant ("operator -=", nr, nc, a_nr, a_nc); |
| 458 | 3069 return *this; |
| 3070 } | |
| 3071 | |
| 3072 if (nr == 0 || nc == 0) | |
| 3073 return *this; | |
| 3074 | |
| 3075 Complex *d = fortran_vec (); // Ensures only one reference to my privates! | |
| 3076 | |
| 3769 | 3077 mx_inline_subtract2 (d, a.data (), length ()); |
| 458 | 3078 return *this; |
| 3079 } | |
| 3080 | |
| 3081 // unary operations | |
| 3082 | |
| 2964 | 3083 boolMatrix |
| 458 | 3084 ComplexMatrix::operator ! (void) const |
| 3085 { | |
| 5275 | 3086 octave_idx_type nr = rows (); |
| 3087 octave_idx_type nc = cols (); | |
| 2964 | 3088 |
| 3089 boolMatrix b (nr, nc); | |
| 3090 | |
| 5275 | 3091 for (octave_idx_type j = 0; j < nc; j++) |
| 3092 for (octave_idx_type i = 0; i < nr; i++) | |
| 5139 | 3093 b.elem (i, j) = elem (i, j) == 0.0; |
| 2964 | 3094 |
| 3095 return b; | |
| 458 | 3096 } |
| 3097 | |
| 3098 // other operations | |
| 3099 | |
| 3100 ComplexMatrix | |
| 2676 | 3101 ComplexMatrix::map (c_c_Mapper f) const |
| 458 | 3102 { |
| 2676 | 3103 ComplexMatrix b (*this); |
| 3104 return b.apply (f); | |
| 458 | 3105 } |
| 3106 | |
| 2676 | 3107 Matrix |
| 3108 ComplexMatrix::map (d_c_Mapper f) const | |
| 458 | 3109 { |
| 5275 | 3110 octave_idx_type nr = rows (); |
| 3111 octave_idx_type nc = cols (); | |
| 3248 | 3112 |
| 3113 Matrix retval (nr, nc); | |
| 3114 | |
| 5275 | 3115 for (octave_idx_type j = 0; j < nc; j++) |
| 3116 for (octave_idx_type i = 0; i < nr; i++) | |
| 3248 | 3117 retval(i,j) = f (elem(i,j)); |
| 3118 | |
| 3119 return retval; | |
| 3120 } | |
| 3121 | |
| 3122 boolMatrix | |
| 3123 ComplexMatrix::map (b_c_Mapper f) const | |
| 3124 { | |
| 5275 | 3125 octave_idx_type nr = rows (); |
| 3126 octave_idx_type nc = cols (); | |
| 3248 | 3127 |
| 3128 boolMatrix retval (nr, nc); | |
| 3129 | |
| 5275 | 3130 for (octave_idx_type j = 0; j < nc; j++) |
| 3131 for (octave_idx_type i = 0; i < nr; i++) | |
| 3248 | 3132 retval(i,j) = f (elem(i,j)); |
| 2676 | 3133 |
| 3134 return retval; | |
| 3135 } | |
| 3136 | |
| 3137 ComplexMatrix& | |
| 3138 ComplexMatrix::apply (c_c_Mapper f) | |
| 3139 { | |
| 3140 Complex *d = fortran_vec (); // Ensures only one reference to my privates! | |
| 3141 | |
| 5275 | 3142 for (octave_idx_type i = 0; i < length (); i++) |
| 2676 | 3143 d[i] = f (d[i]); |
| 3144 | |
| 3145 return *this; | |
| 458 | 3146 } |
| 3147 | |
| 2384 | 3148 bool |
| 3149 ComplexMatrix::any_element_is_inf_or_nan (void) const | |
| 3150 { | |
| 5275 | 3151 octave_idx_type nr = rows (); |
| 3152 octave_idx_type nc = cols (); | |
| 3153 | |
| 3154 for (octave_idx_type j = 0; j < nc; j++) | |
| 3155 for (octave_idx_type i = 0; i < nr; i++) | |
| 2384 | 3156 { |
| 3157 Complex val = elem (i, j); | |
| 3158 if (xisinf (val) || xisnan (val)) | |
| 3159 return true; | |
| 3160 } | |
| 3161 | |
| 3162 return false; | |
| 3163 } | |
| 3164 | |
| 2408 | 3165 // Return true if no elements have imaginary components. |
| 3166 | |
| 3167 bool | |
| 3168 ComplexMatrix::all_elements_are_real (void) const | |
| 3169 { | |
| 5275 | 3170 octave_idx_type nr = rows (); |
| 3171 octave_idx_type nc = cols (); | |
| 3172 | |
| 3173 for (octave_idx_type j = 0; j < nc; j++) | |
| 4349 | 3174 { |
| 5275 | 3175 for (octave_idx_type i = 0; i < nr; i++) |
| 4349 | 3176 { |
| 5315 | 3177 double ip = std::imag (elem (i, j)); |
| 4349 | 3178 |
| 3179 if (ip != 0.0 || lo_ieee_signbit (ip)) | |
| 3180 return false; | |
| 3181 } | |
| 3182 } | |
| 2408 | 3183 |
| 3184 return true; | |
| 3185 } | |
| 3186 | |
| 1968 | 3187 // Return nonzero if any element of CM has a non-integer real or |
| 3188 // imaginary part. Also extract the largest and smallest (real or | |
| 3189 // imaginary) values and return them in MAX_VAL and MIN_VAL. | |
| 3190 | |
| 2384 | 3191 bool |
| 1968 | 3192 ComplexMatrix::all_integers (double& max_val, double& min_val) const |
| 3193 { | |
| 5275 | 3194 octave_idx_type nr = rows (); |
| 3195 octave_idx_type nc = cols (); | |
| 1968 | 3196 |
| 3197 if (nr > 0 && nc > 0) | |
| 3198 { | |
| 3199 Complex val = elem (0, 0); | |
| 3200 | |
| 5315 | 3201 double r_val = std::real (val); |
| 3202 double i_val = std::imag (val); | |
| 1968 | 3203 |
| 3204 max_val = r_val; | |
| 3205 min_val = r_val; | |
| 3206 | |
| 3207 if (i_val > max_val) | |
| 3208 max_val = i_val; | |
| 3209 | |
| 3210 if (i_val < max_val) | |
| 3211 min_val = i_val; | |
| 3212 } | |
| 3213 else | |
| 2384 | 3214 return false; |
| 1968 | 3215 |
| 5275 | 3216 for (octave_idx_type j = 0; j < nc; j++) |
| 3217 for (octave_idx_type i = 0; i < nr; i++) | |
| 1968 | 3218 { |
| 3219 Complex val = elem (i, j); | |
| 3220 | |
| 5315 | 3221 double r_val = std::real (val); |
| 3222 double i_val = std::imag (val); | |
| 1968 | 3223 |
| 3224 if (r_val > max_val) | |
| 3225 max_val = r_val; | |
| 3226 | |
| 3227 if (i_val > max_val) | |
| 3228 max_val = i_val; | |
| 3229 | |
| 3230 if (r_val < min_val) | |
| 3231 min_val = r_val; | |
| 3232 | |
| 3233 if (i_val < min_val) | |
| 3234 min_val = i_val; | |
| 3235 | |
| 3236 if (D_NINT (r_val) != r_val || D_NINT (i_val) != i_val) | |
| 2384 | 3237 return false; |
| 1968 | 3238 } |
| 2384 | 3239 |
| 3240 return true; | |
| 1968 | 3241 } |
| 3242 | |
| 2384 | 3243 bool |
| 1968 | 3244 ComplexMatrix::too_large_for_float (void) const |
| 3245 { | |
| 5275 | 3246 octave_idx_type nr = rows (); |
| 3247 octave_idx_type nc = cols (); | |
| 3248 | |
| 3249 for (octave_idx_type j = 0; j < nc; j++) | |
| 3250 for (octave_idx_type i = 0; i < nr; i++) | |
| 1968 | 3251 { |
| 3252 Complex val = elem (i, j); | |
| 3253 | |
| 5315 | 3254 double r_val = std::real (val); |
| 3255 double i_val = std::imag (val); | |
| 1968 | 3256 |
| 5389 | 3257 if ((! (xisnan (r_val) || xisinf (r_val)) |
| 5387 | 3258 && fabs (r_val) > FLT_MAX) |
| 5389 | 3259 || (! (xisnan (i_val) || xisinf (i_val)) |
| 5387 | 3260 && fabs (i_val) > FLT_MAX)) |
| 2384 | 3261 return true; |
| 1968 | 3262 } |
| 3263 | |
| 2384 | 3264 return false; |
| 1968 | 3265 } |
| 3266 | |
| 5775 | 3267 // FIXME Do these really belong here? Maybe they should be |
| 4015 | 3268 // in a base class? |
| 3269 | |
| 2832 | 3270 boolMatrix |
| 4015 | 3271 ComplexMatrix::all (int dim) const |
| 458 | 3272 { |
| 4015 | 3273 MX_ALL_OP (dim); |
| 458 | 3274 } |
| 3275 | |
| 2832 | 3276 boolMatrix |
| 4015 | 3277 ComplexMatrix::any (int dim) const |
| 458 | 3278 { |
| 4015 | 3279 MX_ANY_OP (dim); |
| 458 | 3280 } |
| 3281 | |
| 3282 ComplexMatrix | |
| 3723 | 3283 ComplexMatrix::cumprod (int dim) const |
| 458 | 3284 { |
| 4015 | 3285 MX_CUMULATIVE_OP (ComplexMatrix, Complex, *=); |
| 458 | 3286 } |
| 3287 | |
| 3288 ComplexMatrix | |
| 3723 | 3289 ComplexMatrix::cumsum (int dim) const |
| 458 | 3290 { |
| 4015 | 3291 MX_CUMULATIVE_OP (ComplexMatrix, Complex, +=); |
| 458 | 3292 } |
| 3293 | |
| 3294 ComplexMatrix | |
| 3723 | 3295 ComplexMatrix::prod (int dim) const |
| 458 | 3296 { |
| 3864 | 3297 MX_REDUCTION_OP (ComplexMatrix, *=, 1.0, 1.0); |
| 458 | 3298 } |
| 3299 | |
| 3300 ComplexMatrix | |
| 3723 | 3301 ComplexMatrix::sum (int dim) const |
| 458 | 3302 { |
| 3864 | 3303 MX_REDUCTION_OP (ComplexMatrix, +=, 0.0, 0.0); |
| 458 | 3304 } |
| 3305 | |
| 3306 ComplexMatrix | |
| 3723 | 3307 ComplexMatrix::sumsq (int dim) const |
| 458 | 3308 { |
| 3864 | 3309 #define ROW_EXPR \ |
| 3310 Complex d = elem (i, j); \ | |
| 3311 retval.elem (i, 0) += d * conj (d) | |
| 3312 | |
| 3313 #define COL_EXPR \ | |
| 3314 Complex d = elem (i, j); \ | |
| 3315 retval.elem (0, j) += d * conj (d) | |
| 3316 | |
| 3317 MX_BASE_REDUCTION_OP (ComplexMatrix, ROW_EXPR, COL_EXPR, 0.0, 0.0); | |
| 3318 | |
| 3319 #undef ROW_EXPR | |
| 3320 #undef COL_EXPR | |
| 458 | 3321 } |
| 3322 | |
| 4329 | 3323 Matrix ComplexMatrix::abs (void) const |
| 3324 { | |
| 5275 | 3325 octave_idx_type nr = rows (); |
| 3326 octave_idx_type nc = cols (); | |
| 4329 | 3327 |
| 3328 Matrix retval (nr, nc); | |
| 3329 | |
| 5275 | 3330 for (octave_idx_type j = 0; j < nc; j++) |
| 3331 for (octave_idx_type i = 0; i < nr; i++) | |
| 5315 | 3332 retval (i, j) = std::abs (elem (i, j)); |
| 4329 | 3333 |
| 3334 return retval; | |
| 3335 } | |
| 3336 | |
| 458 | 3337 ComplexColumnVector |
| 3338 ComplexMatrix::diag (void) const | |
| 3339 { | |
| 3340 return diag (0); | |
| 3341 } | |
| 3342 | |
| 3343 ComplexColumnVector | |
| 5275 | 3344 ComplexMatrix::diag (octave_idx_type k) const |
| 458 | 3345 { |
| 5275 | 3346 octave_idx_type nnr = rows (); |
| 3347 octave_idx_type nnc = cols (); | |
| 458 | 3348 if (k > 0) |
| 3349 nnc -= k; | |
| 3350 else if (k < 0) | |
| 3351 nnr += k; | |
| 3352 | |
| 3353 ComplexColumnVector d; | |
| 3354 | |
| 3355 if (nnr > 0 && nnc > 0) | |
| 3356 { | |
| 5275 | 3357 octave_idx_type ndiag = (nnr < nnc) ? nnr : nnc; |
| 458 | 3358 |
| 3359 d.resize (ndiag); | |
| 3360 | |
| 3361 if (k > 0) | |
| 3362 { | |
| 5275 | 3363 for (octave_idx_type i = 0; i < ndiag; i++) |
| 458 | 3364 d.elem (i) = elem (i, i+k); |
| 3365 } | |
| 4509 | 3366 else if (k < 0) |
| 458 | 3367 { |
| 5275 | 3368 for (octave_idx_type i = 0; i < ndiag; i++) |
| 458 | 3369 d.elem (i) = elem (i-k, i); |
| 3370 } | |
| 3371 else | |
| 3372 { | |
| 5275 | 3373 for (octave_idx_type i = 0; i < ndiag; i++) |
| 458 | 3374 d.elem (i) = elem (i, i); |
| 3375 } | |
| 3376 } | |
| 3377 else | |
| 4513 | 3378 (*current_liboctave_error_handler) |
| 3379 ("diag: requested diagonal out of range"); | |
| 458 | 3380 |
| 3381 return d; | |
| 3382 } | |
| 3383 | |
| 2354 | 3384 bool |
| 5275 | 3385 ComplexMatrix::row_is_real_only (octave_idx_type i) const |
| 2354 | 3386 { |
| 3387 bool retval = true; | |
| 3388 | |
| 5275 | 3389 octave_idx_type nc = columns (); |
| 3390 | |
| 3391 for (octave_idx_type j = 0; j < nc; j++) | |
| 2354 | 3392 { |
| 5315 | 3393 if (std::imag (elem (i, j)) != 0.0) |
| 2354 | 3394 { |
| 3395 retval = false; | |
| 3396 break; | |
| 3397 } | |
| 3398 } | |
| 3399 | |
| 3400 return retval; | |
| 3401 } | |
| 3402 | |
| 3403 bool | |
| 5275 | 3404 ComplexMatrix::column_is_real_only (octave_idx_type j) const |
| 2354 | 3405 { |
| 3406 bool retval = true; | |
| 3407 | |
| 5275 | 3408 octave_idx_type nr = rows (); |
| 3409 | |
| 3410 for (octave_idx_type i = 0; i < nr; i++) | |
| 2354 | 3411 { |
| 5315 | 3412 if (std::imag (elem (i, j)) != 0.0) |
| 2354 | 3413 { |
| 3414 retval = false; | |
| 3415 break; | |
| 3416 } | |
| 3417 } | |
| 3418 | |
| 3419 return retval; | |
| 3420 } | |
| 891 | 3421 |
| 458 | 3422 ComplexColumnVector |
| 3423 ComplexMatrix::row_min (void) const | |
| 3424 { | |
| 5275 | 3425 Array<octave_idx_type> dummy_idx; |
| 4587 | 3426 return row_min (dummy_idx); |
| 458 | 3427 } |
| 3428 | |
| 3429 ComplexColumnVector | |
| 5275 | 3430 ComplexMatrix::row_min (Array<octave_idx_type>& idx_arg) const |
| 458 | 3431 { |
| 3432 ComplexColumnVector result; | |
| 3433 | |
| 5275 | 3434 octave_idx_type nr = rows (); |
| 3435 octave_idx_type nc = cols (); | |
| 458 | 3436 |
| 3437 if (nr > 0 && nc > 0) | |
| 3438 { | |
| 3439 result.resize (nr); | |
| 4587 | 3440 idx_arg.resize (nr); |
| 458 | 3441 |
| 5275 | 3442 for (octave_idx_type i = 0; i < nr; i++) |
| 458 | 3443 { |
| 2354 | 3444 bool real_only = row_is_real_only (i); |
| 3445 | |
| 5275 | 3446 octave_idx_type idx_j; |
| 4469 | 3447 |
| 3448 Complex tmp_min; | |
| 3449 | |
| 3450 double abs_min = octave_NaN; | |
| 3451 | |
| 3452 for (idx_j = 0; idx_j < nc; idx_j++) | |
| 3453 { | |
| 3454 tmp_min = elem (i, idx_j); | |
| 3455 | |
| 5389 | 3456 if (! xisnan (tmp_min)) |
| 4469 | 3457 { |
| 5315 | 3458 abs_min = real_only ? std::real (tmp_min) : std::abs (tmp_min); |
| 4469 | 3459 break; |
| 3460 } | |
| 3461 } | |
| 3462 | |
| 5275 | 3463 for (octave_idx_type j = idx_j+1; j < nc; j++) |
| 4469 | 3464 { |
| 3465 Complex tmp = elem (i, j); | |
| 3466 | |
| 5389 | 3467 if (xisnan (tmp)) |
| 4469 | 3468 continue; |
| 3469 | |
| 5315 | 3470 double abs_tmp = real_only ? std::real (tmp) : std::abs (tmp); |
| 4469 | 3471 |
| 3472 if (abs_tmp < abs_min) | |
| 3473 { | |
| 3474 idx_j = j; | |
| 3475 tmp_min = tmp; | |
| 3476 abs_min = abs_tmp; | |
| 3477 } | |
| 3478 } | |
| 3479 | |
| 5389 | 3480 if (xisnan (tmp_min)) |
| 4469 | 3481 { |
| 3482 result.elem (i) = Complex_NaN_result; | |
| 4587 | 3483 idx_arg.elem (i) = 0; |
| 4469 | 3484 } |
| 891 | 3485 else |
| 3486 { | |
| 4469 | 3487 result.elem (i) = tmp_min; |
| 4587 | 3488 idx_arg.elem (i) = idx_j; |
| 891 | 3489 } |
| 458 | 3490 } |
| 3491 } | |
| 3492 | |
| 3493 return result; | |
| 3494 } | |
| 3495 | |
| 3496 ComplexColumnVector | |
| 3497 ComplexMatrix::row_max (void) const | |
| 3498 { | |
| 5275 | 3499 Array<octave_idx_type> dummy_idx; |
| 4587 | 3500 return row_max (dummy_idx); |
| 458 | 3501 } |
| 3502 | |
| 3503 ComplexColumnVector | |
| 5275 | 3504 ComplexMatrix::row_max (Array<octave_idx_type>& idx_arg) const |
| 458 | 3505 { |
| 3506 ComplexColumnVector result; | |
| 3507 | |
| 5275 | 3508 octave_idx_type nr = rows (); |
| 3509 octave_idx_type nc = cols (); | |
| 458 | 3510 |
| 3511 if (nr > 0 && nc > 0) | |
| 3512 { | |
| 3513 result.resize (nr); | |
| 4587 | 3514 idx_arg.resize (nr); |
| 458 | 3515 |
| 5275 | 3516 for (octave_idx_type i = 0; i < nr; i++) |
| 458 | 3517 { |
| 2354 | 3518 bool real_only = row_is_real_only (i); |
| 3519 | |
| 5275 | 3520 octave_idx_type idx_j; |
| 4469 | 3521 |
| 3522 Complex tmp_max; | |
| 3523 | |
| 3524 double abs_max = octave_NaN; | |
| 3525 | |
| 3526 for (idx_j = 0; idx_j < nc; idx_j++) | |
| 3527 { | |
| 3528 tmp_max = elem (i, idx_j); | |
| 3529 | |
| 5389 | 3530 if (! xisnan (tmp_max)) |
| 4469 | 3531 { |
| 5315 | 3532 abs_max = real_only ? std::real (tmp_max) : std::abs (tmp_max); |
| 4469 | 3533 break; |
| 3534 } | |
| 3535 } | |
| 3536 | |
| 5275 | 3537 for (octave_idx_type j = idx_j+1; j < nc; j++) |
| 4469 | 3538 { |
| 3539 Complex tmp = elem (i, j); | |
| 3540 | |
| 5389 | 3541 if (xisnan (tmp)) |
| 4469 | 3542 continue; |
| 3543 | |
| 5315 | 3544 double abs_tmp = real_only ? std::real (tmp) : std::abs (tmp); |
| 4469 | 3545 |
| 3546 if (abs_tmp > abs_max) | |
| 3547 { | |
| 3548 idx_j = j; | |
| 3549 tmp_max = tmp; | |
| 3550 abs_max = abs_tmp; | |
| 3551 } | |
| 3552 } | |
| 3553 | |
| 5389 | 3554 if (xisnan (tmp_max)) |
| 4469 | 3555 { |
| 3556 result.elem (i) = Complex_NaN_result; | |
| 4587 | 3557 idx_arg.elem (i) = 0; |
| 4469 | 3558 } |
| 891 | 3559 else |
| 3560 { | |
| 4469 | 3561 result.elem (i) = tmp_max; |
| 4587 | 3562 idx_arg.elem (i) = idx_j; |
| 891 | 3563 } |
| 458 | 3564 } |
| 3565 } | |
| 3566 | |
| 3567 return result; | |
| 3568 } | |
| 3569 | |
| 3570 ComplexRowVector | |
| 3571 ComplexMatrix::column_min (void) const | |
| 3572 { | |
| 5275 | 3573 Array<octave_idx_type> dummy_idx; |
| 4587 | 3574 return column_min (dummy_idx); |
| 458 | 3575 } |
| 3576 | |
| 3577 ComplexRowVector | |
| 5275 | 3578 ComplexMatrix::column_min (Array<octave_idx_type>& idx_arg) const |
| 458 | 3579 { |
| 3580 ComplexRowVector result; | |
| 3581 | |
| 5275 | 3582 octave_idx_type nr = rows (); |
| 3583 octave_idx_type nc = cols (); | |
| 458 | 3584 |
| 3585 if (nr > 0 && nc > 0) | |
| 3586 { | |
| 3587 result.resize (nc); | |
| 4587 | 3588 idx_arg.resize (nc); |
| 458 | 3589 |
| 5275 | 3590 for (octave_idx_type j = 0; j < nc; j++) |
| 458 | 3591 { |
| 2354 | 3592 bool real_only = column_is_real_only (j); |
| 3593 | |
| 5275 | 3594 octave_idx_type idx_i; |
| 4469 | 3595 |
| 3596 Complex tmp_min; | |
| 3597 | |
| 3598 double abs_min = octave_NaN; | |
| 3599 | |
| 3600 for (idx_i = 0; idx_i < nr; idx_i++) | |
| 3601 { | |
| 3602 tmp_min = elem (idx_i, j); | |
| 3603 | |
| 5389 | 3604 if (! xisnan (tmp_min)) |
| 4469 | 3605 { |
| 5315 | 3606 abs_min = real_only ? std::real (tmp_min) : std::abs (tmp_min); |
| 4469 | 3607 break; |
| 3608 } | |
| 3609 } | |
| 3610 | |
| 5275 | 3611 for (octave_idx_type i = idx_i+1; i < nr; i++) |
| 4469 | 3612 { |
| 3613 Complex tmp = elem (i, j); | |
| 3614 | |
| 5389 | 3615 if (xisnan (tmp)) |
| 4469 | 3616 continue; |
| 3617 | |
| 5315 | 3618 double abs_tmp = real_only ? std::real (tmp) : std::abs (tmp); |
| 4469 | 3619 |
| 3620 if (abs_tmp < abs_min) | |
| 3621 { | |
| 3622 idx_i = i; | |
| 3623 tmp_min = tmp; | |
| 3624 abs_min = abs_tmp; | |
| 3625 } | |
| 3626 } | |
| 3627 | |
| 5389 | 3628 if (xisnan (tmp_min)) |
| 4469 | 3629 { |
| 3630 result.elem (j) = Complex_NaN_result; | |
| 4587 | 3631 idx_arg.elem (j) = 0; |
| 4469 | 3632 } |
| 891 | 3633 else |
| 3634 { | |
| 4469 | 3635 result.elem (j) = tmp_min; |
| 4587 | 3636 idx_arg.elem (j) = idx_i; |
| 891 | 3637 } |
| 458 | 3638 } |
| 3639 } | |
| 3640 | |
| 3641 return result; | |
| 3642 } | |
| 3643 | |
| 3644 ComplexRowVector | |
| 3645 ComplexMatrix::column_max (void) const | |
| 3646 { | |
| 5275 | 3647 Array<octave_idx_type> dummy_idx; |
| 4587 | 3648 return column_max (dummy_idx); |
| 458 | 3649 } |
| 3650 | |
| 3651 ComplexRowVector | |
| 5275 | 3652 ComplexMatrix::column_max (Array<octave_idx_type>& idx_arg) const |
| 458 | 3653 { |
| 3654 ComplexRowVector result; | |
| 3655 | |
| 5275 | 3656 octave_idx_type nr = rows (); |
| 3657 octave_idx_type nc = cols (); | |
| 458 | 3658 |
| 3659 if (nr > 0 && nc > 0) | |
| 3660 { | |
| 3661 result.resize (nc); | |
| 4587 | 3662 idx_arg.resize (nc); |
| 458 | 3663 |
| 5275 | 3664 for (octave_idx_type j = 0; j < nc; j++) |
| 458 | 3665 { |
| 2354 | 3666 bool real_only = column_is_real_only (j); |
| 3667 | |
| 5275 | 3668 octave_idx_type idx_i; |
| 4469 | 3669 |
| 3670 Complex tmp_max; | |
| 3671 | |
| 3672 double abs_max = octave_NaN; | |
| 3673 | |
| 3674 for (idx_i = 0; idx_i < nr; idx_i++) | |
| 3675 { | |
| 3676 tmp_max = elem (idx_i, j); | |
| 3677 | |
| 5389 | 3678 if (! xisnan (tmp_max)) |
| 4469 | 3679 { |
| 5315 | 3680 abs_max = real_only ? std::real (tmp_max) : std::abs (tmp_max); |
| 4469 | 3681 break; |
| 3682 } | |
| 3683 } | |
| 3684 | |
| 5275 | 3685 for (octave_idx_type i = idx_i+1; i < nr; i++) |
| 4469 | 3686 { |
| 3687 Complex tmp = elem (i, j); | |
| 3688 | |
| 5389 | 3689 if (xisnan (tmp)) |
| 4469 | 3690 continue; |
| 3691 | |
| 5315 | 3692 double abs_tmp = real_only ? std::real (tmp) : std::abs (tmp); |
| 4469 | 3693 |
| 3694 if (abs_tmp > abs_max) | |
| 3695 { | |
| 3696 idx_i = i; | |
| 3697 tmp_max = tmp; | |
| 3698 abs_max = abs_tmp; | |
| 3699 } | |
| 3700 } | |
| 3701 | |
| 5389 | 3702 if (xisnan (tmp_max)) |
| 4469 | 3703 { |
| 3704 result.elem (j) = Complex_NaN_result; | |
| 4587 | 3705 idx_arg.elem (j) = 0; |
| 4469 | 3706 } |
| 891 | 3707 else |
| 3708 { | |
| 4469 | 3709 result.elem (j) = tmp_max; |
| 4587 | 3710 idx_arg.elem (j) = idx_i; |
| 891 | 3711 } |
| 458 | 3712 } |
| 3713 } | |
| 3714 | |
| 3715 return result; | |
| 3716 } | |
| 3717 | |
| 3718 // i/o | |
| 3719 | |
| 3504 | 3720 std::ostream& |
| 3721 operator << (std::ostream& os, const ComplexMatrix& a) | |
| 458 | 3722 { |
| 5275 | 3723 for (octave_idx_type i = 0; i < a.rows (); i++) |
| 458 | 3724 { |
| 5275 | 3725 for (octave_idx_type j = 0; j < a.cols (); j++) |
| 4130 | 3726 { |
| 3727 os << " "; | |
| 3728 octave_write_complex (os, a.elem (i, j)); | |
| 3729 } | |
| 458 | 3730 os << "\n"; |
| 3731 } | |
| 3732 return os; | |
| 3733 } | |
| 3734 | |
| 3504 | 3735 std::istream& |
| 3736 operator >> (std::istream& is, ComplexMatrix& a) | |
| 458 | 3737 { |
| 5275 | 3738 octave_idx_type nr = a.rows (); |
| 3739 octave_idx_type nc = a.cols (); | |
| 458 | 3740 |
| 3741 if (nr < 1 || nc < 1) | |
| 3504 | 3742 is.clear (std::ios::badbit); |
| 458 | 3743 else |
| 3744 { | |
| 3745 Complex tmp; | |
| 5275 | 3746 for (octave_idx_type i = 0; i < nr; i++) |
| 3747 for (octave_idx_type j = 0; j < nc; j++) | |
| 458 | 3748 { |
| 4130 | 3749 tmp = octave_read_complex (is); |
| 458 | 3750 if (is) |
| 3751 a.elem (i, j) = tmp; | |
| 3752 else | |
| 2993 | 3753 goto done; |
| 458 | 3754 } |
| 3755 } | |
| 3756 | |
| 2993 | 3757 done: |
| 3758 | |
| 458 | 3759 return is; |
| 3760 } | |
| 3761 | |
| 1819 | 3762 ComplexMatrix |
| 3763 Givens (const Complex& x, const Complex& y) | |
| 3764 { | |
| 3765 double cc; | |
| 3766 Complex cs, temp_r; | |
| 3767 | |
| 3887 | 3768 F77_FUNC (zlartg, ZLARTG) (x, y, cc, cs, temp_r); |
| 1819 | 3769 |
| 3770 ComplexMatrix g (2, 2); | |
| 3771 | |
| 3772 g.elem (0, 0) = cc; | |
| 3773 g.elem (1, 1) = cc; | |
| 3774 g.elem (0, 1) = cs; | |
| 3775 g.elem (1, 0) = -conj (cs); | |
| 3776 | |
| 3777 return g; | |
| 3778 } | |
| 3779 | |
| 3780 ComplexMatrix | |
| 3781 Sylvester (const ComplexMatrix& a, const ComplexMatrix& b, | |
| 3782 const ComplexMatrix& c) | |
| 3783 { | |
| 3784 ComplexMatrix retval; | |
| 3785 | |
| 5775 | 3786 // FIXME -- need to check that a, b, and c are all the same |
| 1819 | 3787 // size. |
| 3788 | |
| 3789 // Compute Schur decompositions | |
| 3790 | |
| 3791 ComplexSCHUR as (a, "U"); | |
| 3792 ComplexSCHUR bs (b, "U"); | |
| 3793 | |
| 3794 // Transform c to new coordinates. | |
| 3795 | |
| 3796 ComplexMatrix ua = as.unitary_matrix (); | |
| 3797 ComplexMatrix sch_a = as.schur_matrix (); | |
| 3798 | |
| 3799 ComplexMatrix ub = bs.unitary_matrix (); | |
| 3800 ComplexMatrix sch_b = bs.schur_matrix (); | |
| 3801 | |
| 3802 ComplexMatrix cx = ua.hermitian () * c * ub; | |
| 3803 | |
| 3804 // Solve the sylvester equation, back-transform, and return the | |
| 3805 // solution. | |
| 3806 | |
| 5275 | 3807 octave_idx_type a_nr = a.rows (); |
| 3808 octave_idx_type b_nr = b.rows (); | |
| 1819 | 3809 |
| 3810 double scale; | |
| 5275 | 3811 octave_idx_type info; |
| 1950 | 3812 |
| 3813 Complex *pa = sch_a.fortran_vec (); | |
| 3814 Complex *pb = sch_b.fortran_vec (); | |
| 3815 Complex *px = cx.fortran_vec (); | |
| 1819 | 3816 |
| 4552 | 3817 F77_XFCN (ztrsyl, ZTRSYL, (F77_CONST_CHAR_ARG2 ("N", 1), |
| 3818 F77_CONST_CHAR_ARG2 ("N", 1), | |
| 3819 1, a_nr, b_nr, pa, a_nr, pb, | |
| 3820 b_nr, px, a_nr, scale, info | |
| 3821 F77_CHAR_ARG_LEN (1) | |
| 3822 F77_CHAR_ARG_LEN (1))); | |
| 1950 | 3823 |
|
7482
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
3824 // FIXME -- check info? |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
3825 |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
3826 retval = -ua * cx * ub.hermitian (); |
| 1819 | 3827 |
| 3828 return retval; | |
| 3829 } | |
| 3830 | |
| 2828 | 3831 ComplexMatrix |
| 3832 operator * (const ComplexMatrix& m, const Matrix& a) | |
| 3833 { | |
| 3834 ComplexMatrix tmp (a); | |
| 3835 return m * tmp; | |
| 3836 } | |
| 3837 | |
| 3838 ComplexMatrix | |
| 3839 operator * (const Matrix& m, const ComplexMatrix& a) | |
| 3840 { | |
| 3841 ComplexMatrix tmp (m); | |
| 3842 return tmp * a; | |
| 3843 } | |
| 3844 | |
| 6162 | 3845 /* Simple Dot Product, Matrix-Vector and Matrix-Matrix Unit tests |
| 3846 %!assert([1+i 2+i 3+i] * [ 4+i ; 5+i ; 6+i], 29+21i, 1e-14) | |
| 3847 %!assert([1+i 2+i ; 3+i 4+i ] * [5+i ; 6+i], [15 + 14i ; 37 + 18i], 1e-14) | |
| 3848 %!assert([1+i 2+i ; 3+i 4+i ] * [5+i 6+i ; 7+i 8+i], [17 + 15i 20 + 17i; 41 + 19i 48 + 21i], 1e-14) | |
| 3849 */ | |
| 3850 | |
| 3851 /* Test some simple identities | |
| 3852 %!shared M, cv, rv | |
| 3853 %! M = randn(10,10)+i*rand(10,10); | |
| 3854 %! cv = randn(10,1)+i*rand(10,1); | |
| 3855 %! rv = randn(1,10)+i*rand(1,10); | |
| 3856 %!assert([M*cv,M*cv],M*[cv,cv],1e-14) | |
| 3857 %!assert([rv*M;rv*M],[rv;rv]*M,1e-14) | |
| 3858 %!assert(2*rv*cv,[rv,rv]*[cv;cv],1e-14) | |
| 3859 */ | |
| 3860 | |
| 2828 | 3861 ComplexMatrix |
| 3862 operator * (const ComplexMatrix& m, const ComplexMatrix& a) | |
| 3863 { | |
| 3864 ComplexMatrix retval; | |
| 3865 | |
| 5275 | 3866 octave_idx_type nr = m.rows (); |
| 3867 octave_idx_type nc = m.cols (); | |
| 3868 | |
| 3869 octave_idx_type a_nr = a.rows (); | |
| 3870 octave_idx_type a_nc = a.cols (); | |
| 2828 | 3871 |
| 3872 if (nc != a_nr) | |
| 3873 gripe_nonconformant ("operator *", nr, nc, a_nr, a_nc); | |
| 3874 else | |
| 3875 { | |
| 3876 if (nr == 0 || nc == 0 || a_nc == 0) | |
| 3760 | 3877 retval.resize (nr, a_nc, 0.0); |
| 2828 | 3878 else |
| 3879 { | |
| 5275 | 3880 octave_idx_type ld = nr; |
| 3881 octave_idx_type lda = a.rows (); | |
| 2828 | 3882 |
| 3883 retval.resize (nr, a_nc); | |
| 3884 Complex *c = retval.fortran_vec (); | |
| 3885 | |
| 5983 | 3886 if (a_nc == 1) |
| 3887 { | |
| 3888 if (nr == 1) | |
| 3889 F77_FUNC (xzdotu, XZDOTU) (nc, m.data (), 1, a.data (), 1, *c); | |
| 3890 else | |
| 6390 | 3891 { |
| 3892 F77_XFCN (zgemv, ZGEMV, (F77_CONST_CHAR_ARG2 ("N", 1), | |
| 3893 nr, nc, 1.0, m.data (), ld, | |
| 3894 a.data (), 1, 0.0, c, 1 | |
| 3895 F77_CHAR_ARG_LEN (1))); | |
| 3896 } | |
| 5983 | 3897 } |
| 3898 else | |
| 6390 | 3899 { |
| 3900 F77_XFCN (zgemm, ZGEMM, (F77_CONST_CHAR_ARG2 ("N", 1), | |
| 3901 F77_CONST_CHAR_ARG2 ("N", 1), | |
| 3902 nr, a_nc, nc, 1.0, m.data (), | |
| 3903 ld, a.data (), lda, 0.0, c, nr | |
| 3904 F77_CHAR_ARG_LEN (1) | |
| 3905 F77_CHAR_ARG_LEN (1))); | |
| 3906 } | |
| 2828 | 3907 } |
| 3908 } | |
| 3909 | |
| 3910 return retval; | |
| 3911 } | |
| 3912 | |
| 5775 | 3913 // FIXME -- it would be nice to share code among the min/max |
| 4309 | 3914 // functions below. |
| 3915 | |
| 3916 #define EMPTY_RETURN_CHECK(T) \ | |
| 3917 if (nr == 0 || nc == 0) \ | |
| 3918 return T (nr, nc); | |
| 3919 | |
| 3920 ComplexMatrix | |
| 3921 min (const Complex& c, const ComplexMatrix& m) | |
| 3922 { | |
| 5275 | 3923 octave_idx_type nr = m.rows (); |
| 3924 octave_idx_type nc = m.columns (); | |
| 4309 | 3925 |
| 3926 EMPTY_RETURN_CHECK (ComplexMatrix); | |
| 3927 | |
| 3928 ComplexMatrix result (nr, nc); | |
| 3929 | |
| 5275 | 3930 for (octave_idx_type j = 0; j < nc; j++) |
| 3931 for (octave_idx_type i = 0; i < nr; i++) | |
| 4309 | 3932 { |
| 3933 OCTAVE_QUIT; | |
| 3934 result (i, j) = xmin (c, m (i, j)); | |
| 3935 } | |
| 3936 | |
| 3937 return result; | |
| 3938 } | |
| 3939 | |
| 3940 ComplexMatrix | |
| 3941 min (const ComplexMatrix& m, const Complex& c) | |
| 3942 { | |
| 5275 | 3943 octave_idx_type nr = m.rows (); |
| 3944 octave_idx_type nc = m.columns (); | |
| 4309 | 3945 |
| 3946 EMPTY_RETURN_CHECK (ComplexMatrix); | |
| 3947 | |
| 3948 ComplexMatrix result (nr, nc); | |
| 3949 | |
| 5275 | 3950 for (octave_idx_type j = 0; j < nc; j++) |
| 3951 for (octave_idx_type i = 0; i < nr; i++) | |
| 4309 | 3952 { |
| 3953 OCTAVE_QUIT; | |
| 3954 result (i, j) = xmin (m (i, j), c); | |
| 3955 } | |
| 3956 | |
| 3957 return result; | |
| 3958 } | |
| 3959 | |
| 3960 ComplexMatrix | |
| 3961 min (const ComplexMatrix& a, const ComplexMatrix& b) | |
| 3962 { | |
| 5275 | 3963 octave_idx_type nr = a.rows (); |
| 3964 octave_idx_type nc = a.columns (); | |
| 4309 | 3965 |
| 3966 if (nr != b.rows () || nc != b.columns ()) | |
| 3967 { | |
| 3968 (*current_liboctave_error_handler) | |
| 3969 ("two-arg min expecting args of same size"); | |
| 3970 return ComplexMatrix (); | |
| 3971 } | |
| 3972 | |
| 3973 EMPTY_RETURN_CHECK (ComplexMatrix); | |
| 3974 | |
| 3975 ComplexMatrix result (nr, nc); | |
| 3976 | |
| 5275 | 3977 for (octave_idx_type j = 0; j < nc; j++) |
| 4309 | 3978 { |
| 3979 int columns_are_real_only = 1; | |
| 5275 | 3980 for (octave_idx_type i = 0; i < nr; i++) |
| 4309 | 3981 { |
| 3982 OCTAVE_QUIT; | |
| 5315 | 3983 if (std::imag (a (i, j)) != 0.0 || std::imag (b (i, j)) != 0.0) |
| 4309 | 3984 { |
| 3985 columns_are_real_only = 0; | |
| 3986 break; | |
| 3987 } | |
| 3988 } | |
| 3989 | |
| 3990 if (columns_are_real_only) | |
| 3991 { | |
| 5275 | 3992 for (octave_idx_type i = 0; i < nr; i++) |
| 5315 | 3993 result (i, j) = xmin (std::real (a (i, j)), std::real (b (i, j))); |
| 4309 | 3994 } |
| 3995 else | |
| 3996 { | |
| 5275 | 3997 for (octave_idx_type i = 0; i < nr; i++) |
| 4309 | 3998 { |
| 3999 OCTAVE_QUIT; | |
| 4000 result (i, j) = xmin (a (i, j), b (i, j)); | |
| 4001 } | |
| 4002 } | |
| 4003 } | |
| 4004 | |
| 4005 return result; | |
| 4006 } | |
| 4007 | |
| 4008 ComplexMatrix | |
| 4009 max (const Complex& c, const ComplexMatrix& m) | |
| 4010 { | |
| 5275 | 4011 octave_idx_type nr = m.rows (); |
| 4012 octave_idx_type nc = m.columns (); | |
| 4309 | 4013 |
| 4014 EMPTY_RETURN_CHECK (ComplexMatrix); | |
| 4015 | |
| 4016 ComplexMatrix result (nr, nc); | |
| 4017 | |
| 5275 | 4018 for (octave_idx_type j = 0; j < nc; j++) |
| 4019 for (octave_idx_type i = 0; i < nr; i++) | |
| 4309 | 4020 { |
| 4021 OCTAVE_QUIT; | |
| 4022 result (i, j) = xmax (c, m (i, j)); | |
| 4023 } | |
| 4024 | |
| 4025 return result; | |
| 4026 } | |
| 4027 | |
| 4028 ComplexMatrix | |
| 4029 max (const ComplexMatrix& m, const Complex& c) | |
| 4030 { | |
| 5275 | 4031 octave_idx_type nr = m.rows (); |
| 4032 octave_idx_type nc = m.columns (); | |
| 4309 | 4033 |
| 4034 EMPTY_RETURN_CHECK (ComplexMatrix); | |
| 4035 | |
| 4036 ComplexMatrix result (nr, nc); | |
| 4037 | |
| 5275 | 4038 for (octave_idx_type j = 0; j < nc; j++) |
| 4039 for (octave_idx_type i = 0; i < nr; i++) | |
| 4309 | 4040 { |
| 4041 OCTAVE_QUIT; | |
| 4042 result (i, j) = xmax (m (i, j), c); | |
| 4043 } | |
| 4044 | |
| 4045 return result; | |
| 4046 } | |
| 4047 | |
| 4048 ComplexMatrix | |
| 4049 max (const ComplexMatrix& a, const ComplexMatrix& b) | |
| 4050 { | |
| 5275 | 4051 octave_idx_type nr = a.rows (); |
| 4052 octave_idx_type nc = a.columns (); | |
| 4309 | 4053 |
| 4054 if (nr != b.rows () || nc != b.columns ()) | |
| 4055 { | |
| 4056 (*current_liboctave_error_handler) | |
| 4057 ("two-arg max expecting args of same size"); | |
| 4058 return ComplexMatrix (); | |
| 4059 } | |
| 4060 | |
| 4061 EMPTY_RETURN_CHECK (ComplexMatrix); | |
| 4062 | |
| 4063 ComplexMatrix result (nr, nc); | |
| 4064 | |
| 5275 | 4065 for (octave_idx_type j = 0; j < nc; j++) |
| 4309 | 4066 { |
| 4067 int columns_are_real_only = 1; | |
| 5275 | 4068 for (octave_idx_type i = 0; i < nr; i++) |
| 4309 | 4069 { |
| 4070 OCTAVE_QUIT; | |
| 5315 | 4071 if (std::imag (a (i, j)) != 0.0 || std::imag (b (i, j)) != 0.0) |
| 4309 | 4072 { |
| 4073 columns_are_real_only = 0; | |
| 4074 break; | |
| 4075 } | |
| 4076 } | |
| 4077 | |
| 4078 if (columns_are_real_only) | |
| 4079 { | |
| 5275 | 4080 for (octave_idx_type i = 0; i < nr; i++) |
| 4309 | 4081 { |
| 4082 OCTAVE_QUIT; | |
| 5315 | 4083 result (i, j) = xmax (std::real (a (i, j)), std::real (b (i, j))); |
| 4309 | 4084 } |
| 4085 } | |
| 4086 else | |
| 4087 { | |
| 5275 | 4088 for (octave_idx_type i = 0; i < nr; i++) |
| 4309 | 4089 { |
| 4090 OCTAVE_QUIT; | |
| 4091 result (i, j) = xmax (a (i, j), b (i, j)); | |
| 4092 } | |
| 4093 } | |
| 4094 } | |
| 4095 | |
| 4096 return result; | |
| 4097 } | |
| 4098 | |
| 5315 | 4099 MS_CMP_OPS(ComplexMatrix, std::real, Complex, std::real) |
| 3504 | 4100 MS_BOOL_OPS(ComplexMatrix, Complex, 0.0) |
| 2870 | 4101 |
| 5315 | 4102 SM_CMP_OPS(Complex, std::real, ComplexMatrix, std::real) |
| 3504 | 4103 SM_BOOL_OPS(Complex, ComplexMatrix, 0.0) |
| 2870 | 4104 |
| 5315 | 4105 MM_CMP_OPS(ComplexMatrix, std::real, ComplexMatrix, std::real) |
| 3504 | 4106 MM_BOOL_OPS(ComplexMatrix, ComplexMatrix, 0.0) |
| 2870 | 4107 |
| 458 | 4108 /* |
| 4109 ;;; Local Variables: *** | |
| 4110 ;;; mode: C++ *** | |
| 4111 ;;; End: *** | |
| 4112 */ |