Mercurial > octave-nkf
annotate liboctave/CMatrix.cc @ 8336:9813c07ca946
make det take advantage of matrix type
| author | Jaroslav Hajek <highegg@gmail.com> |
|---|---|
| date | Wed, 19 Nov 2008 15:26:39 +0100 |
| parents | 64cf956a109c |
| children | e02242c54c49 |
| 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 | |
| 7803 | 6 Copyright (C) 2008 Jaroslav Hajek |
| 458 | 7 |
| 8 This file is part of Octave. | |
| 9 | |
| 10 Octave is free software; you can redistribute it and/or modify it | |
| 11 under the terms of the GNU General Public License as published by the | |
| 7016 | 12 Free Software Foundation; either version 3 of the License, or (at your |
| 13 option) any later version. | |
| 458 | 14 |
| 15 Octave is distributed in the hope that it will be useful, but WITHOUT | |
| 16 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or | |
| 17 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License | |
| 18 for more details. | |
| 19 | |
| 20 You should have received a copy of the GNU General Public License | |
| 7016 | 21 along with Octave; see the file COPYING. If not, see |
| 22 <http://www.gnu.org/licenses/>. | |
| 458 | 23 |
| 24 */ | |
| 25 | |
| 26 #ifdef HAVE_CONFIG_H | |
| 1192 | 27 #include <config.h> |
| 458 | 28 #endif |
| 29 | |
| 1367 | 30 #include <cfloat> |
| 31 | |
| 3503 | 32 #include <iostream> |
| 6209 | 33 #include <vector> |
| 1367 | 34 |
| 5775 | 35 // FIXME |
| 2443 | 36 #ifdef HAVE_SYS_TYPES_H |
| 37 #include <sys/types.h> | |
| 38 #endif | |
| 458 | 39 |
| 4669 | 40 #include "Array-util.h" |
| 2828 | 41 #include "CMatrix.h" |
| 1819 | 42 #include "CmplxAEPBAL.h" |
| 8335 | 43 #include "DET.h" |
| 1819 | 44 #include "CmplxSCHUR.h" |
| 740 | 45 #include "CmplxSVD.h" |
| 6207 | 46 #include "CmplxCHOL.h" |
| 1847 | 47 #include "f77-fcn.h" |
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48 #include "functor.h" |
| 458 | 49 #include "lo-error.h" |
| 2354 | 50 #include "lo-ieee.h" |
| 51 #include "lo-mappers.h" | |
| 1968 | 52 #include "lo-utils.h" |
| 1367 | 53 #include "mx-base.h" |
| 2828 | 54 #include "mx-cm-dm.h" |
| 3176 | 55 #include "mx-dm-cm.h" |
| 2828 | 56 #include "mx-cm-s.h" |
| 1367 | 57 #include "mx-inlines.cc" |
| 1650 | 58 #include "oct-cmplx.h" |
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59 #include "oct-norm.h" |
| 458 | 60 |
| 4773 | 61 #if defined (HAVE_FFTW3) |
| 3827 | 62 #include "oct-fftw.h" |
| 63 #endif | |
| 64 | |
| 458 | 65 // Fortran functions we call. |
| 66 | |
| 67 extern "C" | |
| 68 { | |
| 7477 | 69 F77_RET_T |
| 70 F77_FUNC (xilaenv, XILAENV) (const octave_idx_type&, F77_CONST_CHAR_ARG_DECL, | |
| 71 F77_CONST_CHAR_ARG_DECL, | |
| 72 const octave_idx_type&, const octave_idx_type&, | |
| 7478 | 73 const octave_idx_type&, const octave_idx_type&, |
| 74 octave_idx_type& | |
| 75 F77_CHAR_ARG_LEN_DECL F77_CHAR_ARG_LEN_DECL); | |
| 7476 | 76 |
| 4552 | 77 F77_RET_T |
| 78 F77_FUNC (zgebal, ZGEBAL) (F77_CONST_CHAR_ARG_DECL, | |
| 5275 | 79 const octave_idx_type&, Complex*, const octave_idx_type&, octave_idx_type&, |
| 80 octave_idx_type&, double*, octave_idx_type& | |
| 4552 | 81 F77_CHAR_ARG_LEN_DECL); |
| 82 | |
| 83 F77_RET_T | |
| 84 F77_FUNC (dgebak, DGEBAK) (F77_CONST_CHAR_ARG_DECL, | |
| 85 F77_CONST_CHAR_ARG_DECL, | |
| 5275 | 86 const octave_idx_type&, const octave_idx_type&, const octave_idx_type&, double*, |
| 87 const octave_idx_type&, double*, const octave_idx_type&, octave_idx_type& | |
| 4552 | 88 F77_CHAR_ARG_LEN_DECL |
| 89 F77_CHAR_ARG_LEN_DECL); | |
| 90 | |
| 91 F77_RET_T | |
| 92 F77_FUNC (zgemm, ZGEMM) (F77_CONST_CHAR_ARG_DECL, | |
| 93 F77_CONST_CHAR_ARG_DECL, | |
| 5275 | 94 const octave_idx_type&, const octave_idx_type&, const octave_idx_type&, |
| 95 const Complex&, const Complex*, const octave_idx_type&, | |
| 96 const Complex*, const octave_idx_type&, const Complex&, | |
| 97 Complex*, const octave_idx_type& | |
| 4552 | 98 F77_CHAR_ARG_LEN_DECL |
| 99 F77_CHAR_ARG_LEN_DECL); | |
| 100 | |
| 101 F77_RET_T | |
| 5983 | 102 F77_FUNC (zgemv, ZGEMV) (F77_CONST_CHAR_ARG_DECL, |
| 103 const octave_idx_type&, const octave_idx_type&, const Complex&, | |
| 104 const Complex*, const octave_idx_type&, const Complex*, | |
| 105 const octave_idx_type&, const Complex&, Complex*, const octave_idx_type& | |
| 106 F77_CHAR_ARG_LEN_DECL); | |
| 107 | |
| 108 F77_RET_T | |
| 109 F77_FUNC (xzdotu, XZDOTU) (const octave_idx_type&, const Complex*, const octave_idx_type&, | |
| 110 const Complex*, const octave_idx_type&, Complex&); | |
| 111 | |
| 112 F77_RET_T | |
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113 F77_FUNC (xzdotc, XZDOTC) (const octave_idx_type&, const Complex*, const octave_idx_type&, |
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114 const Complex*, const octave_idx_type&, Complex&); |
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115 |
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116 F77_RET_T |
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117 F77_FUNC (zsyrk, ZSYRK) (F77_CONST_CHAR_ARG_DECL, |
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118 F77_CONST_CHAR_ARG_DECL, |
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119 const octave_idx_type&, const octave_idx_type&, |
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120 const Complex&, const Complex*, const octave_idx_type&, |
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121 const Complex&, Complex*, const octave_idx_type& |
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122 F77_CHAR_ARG_LEN_DECL |
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123 F77_CHAR_ARG_LEN_DECL); |
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124 |
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125 F77_RET_T |
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126 F77_FUNC (zherk, ZHERK) (F77_CONST_CHAR_ARG_DECL, |
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127 F77_CONST_CHAR_ARG_DECL, |
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128 const octave_idx_type&, const octave_idx_type&, |
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129 const Complex&, const Complex*, const octave_idx_type&, |
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130 const Complex&, Complex*, const octave_idx_type& |
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131 F77_CHAR_ARG_LEN_DECL |
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132 F77_CHAR_ARG_LEN_DECL); |
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133 |
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134 F77_RET_T |
| 5275 | 135 F77_FUNC (zgetrf, ZGETRF) (const octave_idx_type&, const octave_idx_type&, Complex*, const octave_idx_type&, |
| 136 octave_idx_type*, octave_idx_type&); | |
| 4552 | 137 |
| 138 F77_RET_T | |
| 139 F77_FUNC (zgetrs, ZGETRS) (F77_CONST_CHAR_ARG_DECL, | |
| 5275 | 140 const octave_idx_type&, const octave_idx_type&, Complex*, const octave_idx_type&, |
| 141 const octave_idx_type*, Complex*, const octave_idx_type&, octave_idx_type& | |
| 4552 | 142 F77_CHAR_ARG_LEN_DECL); |
| 143 | |
| 144 F77_RET_T | |
| 5275 | 145 F77_FUNC (zgetri, ZGETRI) (const octave_idx_type&, Complex*, const octave_idx_type&, const octave_idx_type*, |
| 146 Complex*, const octave_idx_type&, octave_idx_type&); | |
| 4552 | 147 |
| 148 F77_RET_T | |
| 149 F77_FUNC (zgecon, ZGECON) (F77_CONST_CHAR_ARG_DECL, | |
| 5275 | 150 const octave_idx_type&, Complex*, |
| 151 const octave_idx_type&, const double&, double&, | |
| 152 Complex*, double*, octave_idx_type& | |
| 4552 | 153 F77_CHAR_ARG_LEN_DECL); |
| 154 | |
| 155 F77_RET_T | |
| 7072 | 156 F77_FUNC (zgelsy, ZGELSY) (const octave_idx_type&, const octave_idx_type&, const octave_idx_type&, |
| 157 Complex*, const octave_idx_type&, Complex*, | |
| 158 const octave_idx_type&, octave_idx_type*, double&, octave_idx_type&, | |
| 159 Complex*, const octave_idx_type&, double*, octave_idx_type&); | |
| 160 | |
| 161 F77_RET_T | |
| 162 F77_FUNC (zgelsd, ZGELSD) (const octave_idx_type&, const octave_idx_type&, const octave_idx_type&, | |
| 5275 | 163 Complex*, const octave_idx_type&, Complex*, |
| 7071 | 164 const octave_idx_type&, double*, double&, octave_idx_type&, |
| 7072 | 165 Complex*, const octave_idx_type&, double*, |
| 166 octave_idx_type*, octave_idx_type&); | |
| 458 | 167 |
| 5785 | 168 F77_RET_T |
| 169 F77_FUNC (zpotrf, ZPOTRF) (F77_CONST_CHAR_ARG_DECL, const octave_idx_type&, | |
| 170 Complex*, const octave_idx_type&, | |
| 171 octave_idx_type& F77_CHAR_ARG_LEN_DECL); | |
| 172 | |
| 173 F77_RET_T | |
| 174 F77_FUNC (zpocon, ZPOCON) (F77_CONST_CHAR_ARG_DECL, const octave_idx_type&, | |
| 175 Complex*, const octave_idx_type&, const double&, | |
| 176 double&, Complex*, double*, | |
| 177 octave_idx_type& F77_CHAR_ARG_LEN_DECL); | |
| 178 | |
| 179 F77_RET_T | |
| 180 F77_FUNC (zpotrs, ZPOTRS) (F77_CONST_CHAR_ARG_DECL, const octave_idx_type&, | |
| 181 const octave_idx_type&, const Complex*, | |
| 182 const octave_idx_type&, Complex*, | |
| 183 const octave_idx_type&, octave_idx_type& | |
| 184 F77_CHAR_ARG_LEN_DECL); | |
| 185 | |
| 186 F77_RET_T | |
| 6207 | 187 F77_FUNC (ztrtri, ZTRTRI) (F77_CONST_CHAR_ARG_DECL, F77_CONST_CHAR_ARG_DECL, |
| 188 const octave_idx_type&, const Complex*, | |
| 189 const octave_idx_type&, octave_idx_type& | |
| 190 F77_CHAR_ARG_LEN_DECL | |
| 191 F77_CHAR_ARG_LEN_DECL); | |
| 192 | |
| 193 F77_RET_T | |
| 5785 | 194 F77_FUNC (ztrcon, ZTRCON) (F77_CONST_CHAR_ARG_DECL, F77_CONST_CHAR_ARG_DECL, |
| 195 F77_CONST_CHAR_ARG_DECL, const octave_idx_type&, | |
| 196 const Complex*, const octave_idx_type&, double&, | |
| 197 Complex*, double*, octave_idx_type& | |
| 198 F77_CHAR_ARG_LEN_DECL | |
| 199 F77_CHAR_ARG_LEN_DECL | |
| 200 F77_CHAR_ARG_LEN_DECL); | |
| 201 | |
| 202 F77_RET_T | |
| 203 F77_FUNC (ztrtrs, ZTRTRS) (F77_CONST_CHAR_ARG_DECL, F77_CONST_CHAR_ARG_DECL, | |
| 204 F77_CONST_CHAR_ARG_DECL, const octave_idx_type&, | |
| 205 const octave_idx_type&, const Complex*, | |
| 206 const octave_idx_type&, Complex*, | |
| 207 const octave_idx_type&, octave_idx_type& | |
| 208 F77_CHAR_ARG_LEN_DECL | |
| 209 F77_CHAR_ARG_LEN_DECL | |
| 210 F77_CHAR_ARG_LEN_DECL); | |
| 211 | |
| 1360 | 212 // Note that the original complex fft routines were not written for |
| 213 // double complex arguments. They have been modified by adding an | |
| 214 // implicit double precision (a-h,o-z) statement at the beginning of | |
| 215 // each subroutine. | |
| 458 | 216 |
| 4552 | 217 F77_RET_T |
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218 F77_FUNC (zffti, ZFFTI) (const octave_idx_type&, Complex*); |
| 4552 | 219 |
| 220 F77_RET_T | |
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221 F77_FUNC (zfftf, ZFFTF) (const octave_idx_type&, Complex*, Complex*); |
| 4552 | 222 |
| 223 F77_RET_T | |
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224 F77_FUNC (zfftb, ZFFTB) (const octave_idx_type&, Complex*, Complex*); |
| 4552 | 225 |
| 226 F77_RET_T | |
| 227 F77_FUNC (zlartg, ZLARTG) (const Complex&, const Complex&, | |
| 228 double&, Complex&, Complex&); | |
| 229 | |
| 230 F77_RET_T | |
| 231 F77_FUNC (ztrsyl, ZTRSYL) (F77_CONST_CHAR_ARG_DECL, | |
| 232 F77_CONST_CHAR_ARG_DECL, | |
| 5275 | 233 const octave_idx_type&, const octave_idx_type&, const octave_idx_type&, |
| 234 const Complex*, const octave_idx_type&, | |
| 235 const Complex*, const octave_idx_type&, | |
| 236 const Complex*, const octave_idx_type&, double&, octave_idx_type& | |
| 4552 | 237 F77_CHAR_ARG_LEN_DECL |
| 238 F77_CHAR_ARG_LEN_DECL); | |
| 239 | |
| 240 F77_RET_T | |
| 241 F77_FUNC (xzlange, XZLANGE) (F77_CONST_CHAR_ARG_DECL, | |
| 5275 | 242 const octave_idx_type&, const octave_idx_type&, const Complex*, |
| 243 const octave_idx_type&, double*, double& | |
| 4552 | 244 F77_CHAR_ARG_LEN_DECL); |
| 458 | 245 } |
| 246 | |
| 2354 | 247 static const Complex Complex_NaN_result (octave_NaN, octave_NaN); |
| 248 | |
| 1360 | 249 // Complex Matrix class |
| 458 | 250 |
| 251 ComplexMatrix::ComplexMatrix (const Matrix& a) | |
| 1214 | 252 : MArray2<Complex> (a.rows (), a.cols ()) |
| 458 | 253 { |
| 5275 | 254 for (octave_idx_type j = 0; j < cols (); j++) |
| 255 for (octave_idx_type i = 0; i < rows (); i++) | |
| 458 | 256 elem (i, j) = a.elem (i, j); |
| 257 } | |
| 258 | |
| 2349 | 259 ComplexMatrix::ComplexMatrix (const RowVector& rv) |
| 260 : MArray2<Complex> (1, rv.length (), 0.0) | |
| 261 { | |
| 5275 | 262 for (octave_idx_type i = 0; i < rv.length (); i++) |
| 2349 | 263 elem (0, i) = rv.elem (i); |
| 264 } | |
| 265 | |
| 266 ComplexMatrix::ComplexMatrix (const ColumnVector& cv) | |
| 267 : MArray2<Complex> (cv.length (), 1, 0.0) | |
| 268 { | |
| 5275 | 269 for (octave_idx_type i = 0; i < cv.length (); i++) |
| 2349 | 270 elem (i, 0) = cv.elem (i); |
| 271 } | |
| 272 | |
| 458 | 273 ComplexMatrix::ComplexMatrix (const DiagMatrix& a) |
| 1214 | 274 : MArray2<Complex> (a.rows (), a.cols (), 0.0) |
| 458 | 275 { |
| 5275 | 276 for (octave_idx_type i = 0; i < a.length (); i++) |
| 458 | 277 elem (i, i) = a.elem (i, i); |
| 278 } | |
| 279 | |
| 2349 | 280 ComplexMatrix::ComplexMatrix (const ComplexRowVector& rv) |
| 281 : MArray2<Complex> (1, rv.length (), 0.0) | |
| 282 { | |
| 5275 | 283 for (octave_idx_type i = 0; i < rv.length (); i++) |
| 2349 | 284 elem (0, i) = rv.elem (i); |
| 285 } | |
| 286 | |
| 287 ComplexMatrix::ComplexMatrix (const ComplexColumnVector& cv) | |
| 288 : MArray2<Complex> (cv.length (), 1, 0.0) | |
| 289 { | |
| 5275 | 290 for (octave_idx_type i = 0; i < cv.length (); i++) |
| 2349 | 291 elem (i, 0) = cv.elem (i); |
| 292 } | |
| 293 | |
| 458 | 294 ComplexMatrix::ComplexMatrix (const ComplexDiagMatrix& a) |
| 1214 | 295 : MArray2<Complex> (a.rows (), a.cols (), 0.0) |
| 458 | 296 { |
| 5275 | 297 for (octave_idx_type i = 0; i < a.length (); i++) |
| 458 | 298 elem (i, i) = a.elem (i, i); |
| 299 } | |
| 300 | |
| 5775 | 301 // FIXME -- could we use a templated mixed-type copy function |
| 1574 | 302 // here? |
| 303 | |
| 2828 | 304 ComplexMatrix::ComplexMatrix (const boolMatrix& a) |
| 3180 | 305 : MArray2<Complex> (a.rows (), a.cols (), 0.0) |
| 2828 | 306 { |
| 5275 | 307 for (octave_idx_type i = 0; i < a.rows (); i++) |
| 308 for (octave_idx_type j = 0; j < a.cols (); j++) | |
| 2828 | 309 elem (i, j) = a.elem (i, j); |
| 310 } | |
| 311 | |
| 1574 | 312 ComplexMatrix::ComplexMatrix (const charMatrix& a) |
| 3180 | 313 : MArray2<Complex> (a.rows (), a.cols (), 0.0) |
| 1574 | 314 { |
| 5275 | 315 for (octave_idx_type i = 0; i < a.rows (); i++) |
| 316 for (octave_idx_type j = 0; j < a.cols (); j++) | |
| 1574 | 317 elem (i, j) = a.elem (i, j); |
| 318 } | |
| 319 | |
| 2384 | 320 bool |
| 458 | 321 ComplexMatrix::operator == (const ComplexMatrix& a) const |
| 322 { | |
| 323 if (rows () != a.rows () || cols () != a.cols ()) | |
| 2384 | 324 return false; |
| 458 | 325 |
| 3769 | 326 return mx_inline_equal (data (), a.data (), length ()); |
| 458 | 327 } |
| 328 | |
| 2384 | 329 bool |
| 458 | 330 ComplexMatrix::operator != (const ComplexMatrix& a) const |
| 331 { | |
| 332 return !(*this == a); | |
| 333 } | |
| 334 | |
| 2815 | 335 bool |
| 336 ComplexMatrix::is_hermitian (void) const | |
| 337 { | |
| 5275 | 338 octave_idx_type nr = rows (); |
| 339 octave_idx_type nc = cols (); | |
| 2815 | 340 |
| 341 if (is_square () && nr > 0) | |
| 342 { | |
| 5275 | 343 for (octave_idx_type i = 0; i < nr; i++) |
| 344 for (octave_idx_type j = i; j < nc; j++) | |
| 2815 | 345 if (elem (i, j) != conj (elem (j, i))) |
| 346 return false; | |
| 347 | |
| 348 return true; | |
| 349 } | |
| 350 | |
| 351 return false; | |
| 352 } | |
| 353 | |
| 458 | 354 // destructive insert/delete/reorder operations |
| 355 | |
| 356 ComplexMatrix& | |
| 5275 | 357 ComplexMatrix::insert (const Matrix& a, octave_idx_type r, octave_idx_type c) |
| 458 | 358 { |
| 5275 | 359 octave_idx_type a_nr = a.rows (); |
| 360 octave_idx_type a_nc = a.cols (); | |
| 1699 | 361 |
| 362 if (r < 0 || r + a_nr > rows () || c < 0 || c + a_nc > cols ()) | |
| 458 | 363 { |
| 364 (*current_liboctave_error_handler) ("range error for insert"); | |
| 365 return *this; | |
| 366 } | |
| 367 | |
| 4316 | 368 if (a_nr >0 && a_nc > 0) |
| 369 { | |
| 370 make_unique (); | |
| 371 | |
| 5275 | 372 for (octave_idx_type j = 0; j < a_nc; j++) |
| 373 for (octave_idx_type i = 0; i < a_nr; i++) | |
| 4316 | 374 xelem (r+i, c+j) = a.elem (i, j); |
| 375 } | |
| 458 | 376 |
| 377 return *this; | |
| 378 } | |
| 379 | |
| 380 ComplexMatrix& | |
| 5275 | 381 ComplexMatrix::insert (const RowVector& a, octave_idx_type r, octave_idx_type c) |
| 458 | 382 { |
| 5275 | 383 octave_idx_type a_len = a.length (); |
| 4316 | 384 |
| 1699 | 385 if (r < 0 || r >= rows () || c < 0 || c + a_len > cols ()) |
| 458 | 386 { |
| 387 (*current_liboctave_error_handler) ("range error for insert"); | |
| 388 return *this; | |
| 389 } | |
| 390 | |
| 4316 | 391 if (a_len > 0) |
| 392 { | |
| 393 make_unique (); | |
| 394 | |
| 5275 | 395 for (octave_idx_type i = 0; i < a_len; i++) |
| 4316 | 396 xelem (r, c+i) = a.elem (i); |
| 397 } | |
| 458 | 398 |
| 399 return *this; | |
| 400 } | |
| 401 | |
| 402 ComplexMatrix& | |
| 5275 | 403 ComplexMatrix::insert (const ColumnVector& a, octave_idx_type r, octave_idx_type c) |
| 458 | 404 { |
| 5275 | 405 octave_idx_type a_len = a.length (); |
| 4316 | 406 |
| 1699 | 407 if (r < 0 || r + a_len > rows () || c < 0 || c >= cols ()) |
| 458 | 408 { |
| 409 (*current_liboctave_error_handler) ("range error for insert"); | |
| 410 return *this; | |
| 411 } | |
| 412 | |
| 4316 | 413 if (a_len > 0) |
| 414 { | |
| 415 make_unique (); | |
| 416 | |
| 5275 | 417 for (octave_idx_type i = 0; i < a_len; i++) |
| 4316 | 418 xelem (r+i, c) = a.elem (i); |
| 419 } | |
| 458 | 420 |
| 421 return *this; | |
| 422 } | |
| 423 | |
| 424 ComplexMatrix& | |
| 5275 | 425 ComplexMatrix::insert (const DiagMatrix& a, octave_idx_type r, octave_idx_type c) |
| 458 | 426 { |
| 5275 | 427 octave_idx_type a_nr = a.rows (); |
| 428 octave_idx_type a_nc = a.cols (); | |
| 1699 | 429 |
| 430 if (r < 0 || r + a_nr > rows () || c < 0 || c + a_nc > cols ()) | |
| 458 | 431 { |
| 432 (*current_liboctave_error_handler) ("range error for insert"); | |
| 433 return *this; | |
| 434 } | |
| 435 | |
| 1699 | 436 fill (0.0, r, c, r + a_nr - 1, c + a_nc - 1); |
| 437 | |
| 5275 | 438 octave_idx_type a_len = a.length (); |
| 4316 | 439 |
| 440 if (a_len > 0) | |
| 441 { | |
| 442 make_unique (); | |
| 443 | |
| 5275 | 444 for (octave_idx_type i = 0; i < a_len; i++) |
| 4316 | 445 xelem (r+i, c+i) = a.elem (i, i); |
| 446 } | |
| 458 | 447 |
| 448 return *this; | |
| 449 } | |
| 450 | |
| 451 ComplexMatrix& | |
| 5275 | 452 ComplexMatrix::insert (const ComplexMatrix& a, octave_idx_type r, octave_idx_type c) |
| 458 | 453 { |
| 1561 | 454 Array2<Complex>::insert (a, r, c); |
| 458 | 455 return *this; |
| 456 } | |
| 457 | |
| 458 ComplexMatrix& | |
| 5275 | 459 ComplexMatrix::insert (const ComplexRowVector& a, octave_idx_type r, octave_idx_type c) |
| 458 | 460 { |
| 5275 | 461 octave_idx_type a_len = a.length (); |
| 1699 | 462 if (r < 0 || r >= rows () || c < 0 || c + a_len > cols ()) |
| 458 | 463 { |
| 464 (*current_liboctave_error_handler) ("range error for insert"); | |
| 465 return *this; | |
| 466 } | |
| 467 | |
| 5275 | 468 for (octave_idx_type i = 0; i < a_len; i++) |
| 458 | 469 elem (r, c+i) = a.elem (i); |
| 470 | |
| 471 return *this; | |
| 472 } | |
| 473 | |
| 474 ComplexMatrix& | |
| 5275 | 475 ComplexMatrix::insert (const ComplexColumnVector& a, octave_idx_type r, octave_idx_type c) |
| 458 | 476 { |
| 5275 | 477 octave_idx_type a_len = a.length (); |
| 4316 | 478 |
| 1699 | 479 if (r < 0 || r + a_len > rows () || c < 0 || c >= cols ()) |
| 458 | 480 { |
| 481 (*current_liboctave_error_handler) ("range error for insert"); | |
| 482 return *this; | |
| 483 } | |
| 484 | |
| 4316 | 485 if (a_len > 0) |
| 486 { | |
| 487 make_unique (); | |
| 488 | |
| 5275 | 489 for (octave_idx_type i = 0; i < a_len; i++) |
| 4316 | 490 xelem (r+i, c) = a.elem (i); |
| 491 } | |
| 458 | 492 |
| 493 return *this; | |
| 494 } | |
| 495 | |
| 496 ComplexMatrix& | |
| 5275 | 497 ComplexMatrix::insert (const ComplexDiagMatrix& a, octave_idx_type r, octave_idx_type c) |
| 458 | 498 { |
| 5275 | 499 octave_idx_type a_nr = a.rows (); |
| 500 octave_idx_type a_nc = a.cols (); | |
| 1699 | 501 |
| 502 if (r < 0 || r + a_nr > rows () || c < 0 || c + a_nc > cols ()) | |
| 458 | 503 { |
| 504 (*current_liboctave_error_handler) ("range error for insert"); | |
| 505 return *this; | |
| 506 } | |
| 507 | |
| 1699 | 508 fill (0.0, r, c, r + a_nr - 1, c + a_nc - 1); |
| 509 | |
| 5275 | 510 octave_idx_type a_len = a.length (); |
| 4316 | 511 |
| 512 if (a_len > 0) | |
| 513 { | |
| 514 make_unique (); | |
| 515 | |
| 5275 | 516 for (octave_idx_type i = 0; i < a_len; i++) |
| 4316 | 517 xelem (r+i, c+i) = a.elem (i, i); |
| 518 } | |
| 458 | 519 |
| 520 return *this; | |
| 521 } | |
| 522 | |
| 523 ComplexMatrix& | |
| 524 ComplexMatrix::fill (double val) | |
| 525 { | |
| 5275 | 526 octave_idx_type nr = rows (); |
| 527 octave_idx_type nc = cols (); | |
| 4316 | 528 |
| 458 | 529 if (nr > 0 && nc > 0) |
| 4316 | 530 { |
| 531 make_unique (); | |
| 532 | |
| 5275 | 533 for (octave_idx_type j = 0; j < nc; j++) |
| 534 for (octave_idx_type i = 0; i < nr; i++) | |
| 4316 | 535 xelem (i, j) = val; |
| 536 } | |
| 458 | 537 |
| 538 return *this; | |
| 539 } | |
| 540 | |
| 541 ComplexMatrix& | |
| 542 ComplexMatrix::fill (const Complex& val) | |
| 543 { | |
| 5275 | 544 octave_idx_type nr = rows (); |
| 545 octave_idx_type nc = cols (); | |
| 4316 | 546 |
| 458 | 547 if (nr > 0 && nc > 0) |
| 4316 | 548 { |
| 549 make_unique (); | |
| 550 | |
| 5275 | 551 for (octave_idx_type j = 0; j < nc; j++) |
| 552 for (octave_idx_type i = 0; i < nr; i++) | |
| 4316 | 553 xelem (i, j) = val; |
| 554 } | |
| 458 | 555 |
| 556 return *this; | |
| 557 } | |
| 558 | |
| 559 ComplexMatrix& | |
| 5275 | 560 ComplexMatrix::fill (double val, octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2) |
| 458 | 561 { |
| 5275 | 562 octave_idx_type nr = rows (); |
| 563 octave_idx_type nc = cols (); | |
| 4316 | 564 |
| 458 | 565 if (r1 < 0 || r2 < 0 || c1 < 0 || c2 < 0 |
| 566 || r1 >= nr || r2 >= nr || c1 >= nc || c2 >= nc) | |
| 567 { | |
| 568 (*current_liboctave_error_handler) ("range error for fill"); | |
| 569 return *this; | |
| 570 } | |
| 571 | |
| 5275 | 572 if (r1 > r2) { octave_idx_type tmp = r1; r1 = r2; r2 = tmp; } |
| 573 if (c1 > c2) { octave_idx_type tmp = c1; c1 = c2; c2 = tmp; } | |
| 458 | 574 |
| 4316 | 575 if (r2 >= r1 && c2 >= c1) |
| 576 { | |
| 577 make_unique (); | |
| 578 | |
| 5275 | 579 for (octave_idx_type j = c1; j <= c2; j++) |
| 580 for (octave_idx_type i = r1; i <= r2; i++) | |
| 4316 | 581 xelem (i, j) = val; |
| 582 } | |
| 458 | 583 |
| 584 return *this; | |
| 585 } | |
| 586 | |
| 587 ComplexMatrix& | |
| 5275 | 588 ComplexMatrix::fill (const Complex& val, octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2) |
| 458 | 589 { |
| 5275 | 590 octave_idx_type nr = rows (); |
| 591 octave_idx_type nc = cols (); | |
| 4316 | 592 |
| 458 | 593 if (r1 < 0 || r2 < 0 || c1 < 0 || c2 < 0 |
| 594 || r1 >= nr || r2 >= nr || c1 >= nc || c2 >= nc) | |
| 595 { | |
| 596 (*current_liboctave_error_handler) ("range error for fill"); | |
| 597 return *this; | |
| 598 } | |
| 599 | |
| 5275 | 600 if (r1 > r2) { octave_idx_type tmp = r1; r1 = r2; r2 = tmp; } |
| 601 if (c1 > c2) { octave_idx_type tmp = c1; c1 = c2; c2 = tmp; } | |
| 458 | 602 |
| 4316 | 603 if (r2 >= r1 && c2 >=c1) |
| 604 { | |
| 605 make_unique (); | |
| 606 | |
| 5275 | 607 for (octave_idx_type j = c1; j <= c2; j++) |
| 608 for (octave_idx_type i = r1; i <= r2; i++) | |
| 4316 | 609 xelem (i, j) = val; |
| 610 } | |
| 458 | 611 |
| 612 return *this; | |
| 613 } | |
| 614 | |
| 615 ComplexMatrix | |
| 616 ComplexMatrix::append (const Matrix& a) const | |
| 617 { | |
| 5275 | 618 octave_idx_type nr = rows (); |
| 619 octave_idx_type nc = cols (); | |
| 458 | 620 if (nr != a.rows ()) |
| 621 { | |
| 622 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 623 return *this; | |
| 624 } | |
| 625 | |
| 5275 | 626 octave_idx_type nc_insert = nc; |
| 458 | 627 ComplexMatrix retval (nr, nc + a.cols ()); |
| 628 retval.insert (*this, 0, 0); | |
| 629 retval.insert (a, 0, nc_insert); | |
| 630 return retval; | |
| 631 } | |
| 632 | |
| 633 ComplexMatrix | |
| 634 ComplexMatrix::append (const RowVector& a) const | |
| 635 { | |
| 5275 | 636 octave_idx_type nr = rows (); |
| 637 octave_idx_type nc = cols (); | |
| 458 | 638 if (nr != 1) |
| 639 { | |
| 640 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 641 return *this; | |
| 642 } | |
| 643 | |
| 5275 | 644 octave_idx_type nc_insert = nc; |
| 458 | 645 ComplexMatrix retval (nr, nc + a.length ()); |
| 646 retval.insert (*this, 0, 0); | |
| 647 retval.insert (a, 0, nc_insert); | |
| 648 return retval; | |
| 649 } | |
| 650 | |
| 651 ComplexMatrix | |
| 652 ComplexMatrix::append (const ColumnVector& a) const | |
| 653 { | |
| 5275 | 654 octave_idx_type nr = rows (); |
| 655 octave_idx_type nc = cols (); | |
| 458 | 656 if (nr != a.length ()) |
| 657 { | |
| 658 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 659 return *this; | |
| 660 } | |
| 661 | |
| 5275 | 662 octave_idx_type nc_insert = nc; |
| 458 | 663 ComplexMatrix retval (nr, nc + 1); |
| 664 retval.insert (*this, 0, 0); | |
| 665 retval.insert (a, 0, nc_insert); | |
| 666 return retval; | |
| 667 } | |
| 668 | |
| 669 ComplexMatrix | |
| 670 ComplexMatrix::append (const DiagMatrix& a) const | |
| 671 { | |
| 5275 | 672 octave_idx_type nr = rows (); |
| 673 octave_idx_type nc = cols (); | |
| 458 | 674 if (nr != a.rows ()) |
| 675 { | |
| 676 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 677 return *this; | |
| 678 } | |
| 679 | |
| 5275 | 680 octave_idx_type nc_insert = nc; |
| 458 | 681 ComplexMatrix retval (nr, nc + a.cols ()); |
| 682 retval.insert (*this, 0, 0); | |
| 683 retval.insert (a, 0, nc_insert); | |
| 684 return retval; | |
| 685 } | |
| 686 | |
| 687 ComplexMatrix | |
| 688 ComplexMatrix::append (const ComplexMatrix& a) const | |
| 689 { | |
| 5275 | 690 octave_idx_type nr = rows (); |
| 691 octave_idx_type nc = cols (); | |
| 458 | 692 if (nr != a.rows ()) |
| 693 { | |
| 694 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 695 return *this; | |
| 696 } | |
| 697 | |
| 5275 | 698 octave_idx_type nc_insert = nc; |
| 458 | 699 ComplexMatrix retval (nr, nc + a.cols ()); |
| 700 retval.insert (*this, 0, 0); | |
| 701 retval.insert (a, 0, nc_insert); | |
| 702 return retval; | |
| 703 } | |
| 704 | |
| 705 ComplexMatrix | |
| 706 ComplexMatrix::append (const ComplexRowVector& a) const | |
| 707 { | |
| 5275 | 708 octave_idx_type nr = rows (); |
| 709 octave_idx_type nc = cols (); | |
| 458 | 710 if (nr != 1) |
| 711 { | |
| 712 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 713 return *this; | |
| 714 } | |
| 715 | |
| 5275 | 716 octave_idx_type nc_insert = nc; |
| 458 | 717 ComplexMatrix retval (nr, nc + a.length ()); |
| 718 retval.insert (*this, 0, 0); | |
| 719 retval.insert (a, 0, nc_insert); | |
| 720 return retval; | |
| 721 } | |
| 722 | |
| 723 ComplexMatrix | |
| 724 ComplexMatrix::append (const ComplexColumnVector& a) const | |
| 725 { | |
| 5275 | 726 octave_idx_type nr = rows (); |
| 727 octave_idx_type nc = cols (); | |
| 458 | 728 if (nr != a.length ()) |
| 729 { | |
| 730 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 731 return *this; | |
| 732 } | |
| 733 | |
| 5275 | 734 octave_idx_type nc_insert = nc; |
| 458 | 735 ComplexMatrix retval (nr, nc + 1); |
| 736 retval.insert (*this, 0, 0); | |
| 737 retval.insert (a, 0, nc_insert); | |
| 738 return retval; | |
| 739 } | |
| 740 | |
| 741 ComplexMatrix | |
| 742 ComplexMatrix::append (const ComplexDiagMatrix& a) const | |
| 743 { | |
| 5275 | 744 octave_idx_type nr = rows (); |
| 745 octave_idx_type nc = cols (); | |
| 458 | 746 if (nr != a.rows ()) |
| 747 { | |
| 748 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 749 return *this; | |
| 750 } | |
| 751 | |
| 5275 | 752 octave_idx_type nc_insert = nc; |
| 458 | 753 ComplexMatrix retval (nr, nc + a.cols ()); |
| 754 retval.insert (*this, 0, 0); | |
| 755 retval.insert (a, 0, nc_insert); | |
| 756 return retval; | |
| 757 } | |
| 758 | |
| 759 ComplexMatrix | |
| 760 ComplexMatrix::stack (const Matrix& a) const | |
| 761 { | |
| 5275 | 762 octave_idx_type nr = rows (); |
| 763 octave_idx_type nc = cols (); | |
| 458 | 764 if (nc != a.cols ()) |
| 765 { | |
| 766 (*current_liboctave_error_handler) | |
| 767 ("column dimension mismatch for stack"); | |
| 768 return *this; | |
| 769 } | |
| 770 | |
| 5275 | 771 octave_idx_type nr_insert = nr; |
| 458 | 772 ComplexMatrix retval (nr + a.rows (), nc); |
| 773 retval.insert (*this, 0, 0); | |
| 774 retval.insert (a, nr_insert, 0); | |
| 775 return retval; | |
| 776 } | |
| 777 | |
| 778 ComplexMatrix | |
| 779 ComplexMatrix::stack (const RowVector& a) const | |
| 780 { | |
| 5275 | 781 octave_idx_type nr = rows (); |
| 782 octave_idx_type nc = cols (); | |
| 458 | 783 if (nc != a.length ()) |
| 784 { | |
| 785 (*current_liboctave_error_handler) | |
| 786 ("column dimension mismatch for stack"); | |
| 787 return *this; | |
| 788 } | |
| 789 | |
| 5275 | 790 octave_idx_type nr_insert = nr; |
| 458 | 791 ComplexMatrix retval (nr + 1, nc); |
| 792 retval.insert (*this, 0, 0); | |
| 793 retval.insert (a, nr_insert, 0); | |
| 794 return retval; | |
| 795 } | |
| 796 | |
| 797 ComplexMatrix | |
| 798 ComplexMatrix::stack (const ColumnVector& a) const | |
| 799 { | |
| 5275 | 800 octave_idx_type nr = rows (); |
| 801 octave_idx_type nc = cols (); | |
| 458 | 802 if (nc != 1) |
| 803 { | |
| 804 (*current_liboctave_error_handler) | |
| 805 ("column dimension mismatch for stack"); | |
| 806 return *this; | |
| 807 } | |
| 808 | |
| 5275 | 809 octave_idx_type nr_insert = nr; |
| 458 | 810 ComplexMatrix retval (nr + a.length (), nc); |
| 811 retval.insert (*this, 0, 0); | |
| 812 retval.insert (a, nr_insert, 0); | |
| 813 return retval; | |
| 814 } | |
| 815 | |
| 816 ComplexMatrix | |
| 817 ComplexMatrix::stack (const DiagMatrix& a) const | |
| 818 { | |
| 5275 | 819 octave_idx_type nr = rows (); |
| 820 octave_idx_type nc = cols (); | |
| 458 | 821 if (nc != a.cols ()) |
| 822 { | |
| 823 (*current_liboctave_error_handler) | |
| 824 ("column dimension mismatch for stack"); | |
| 825 return *this; | |
| 826 } | |
| 827 | |
| 5275 | 828 octave_idx_type nr_insert = nr; |
| 458 | 829 ComplexMatrix retval (nr + a.rows (), nc); |
| 830 retval.insert (*this, 0, 0); | |
| 831 retval.insert (a, nr_insert, 0); | |
| 832 return retval; | |
| 833 } | |
| 834 | |
| 835 ComplexMatrix | |
| 836 ComplexMatrix::stack (const ComplexMatrix& a) const | |
| 837 { | |
| 5275 | 838 octave_idx_type nr = rows (); |
| 839 octave_idx_type nc = cols (); | |
| 458 | 840 if (nc != a.cols ()) |
| 841 { | |
| 842 (*current_liboctave_error_handler) | |
| 843 ("column dimension mismatch for stack"); | |
| 844 return *this; | |
| 845 } | |
| 846 | |
| 5275 | 847 octave_idx_type nr_insert = nr; |
| 458 | 848 ComplexMatrix retval (nr + a.rows (), nc); |
| 849 retval.insert (*this, 0, 0); | |
| 850 retval.insert (a, nr_insert, 0); | |
| 851 return retval; | |
| 852 } | |
| 853 | |
| 854 ComplexMatrix | |
| 855 ComplexMatrix::stack (const ComplexRowVector& a) const | |
| 856 { | |
| 5275 | 857 octave_idx_type nr = rows (); |
| 858 octave_idx_type nc = cols (); | |
| 458 | 859 if (nc != a.length ()) |
| 860 { | |
| 861 (*current_liboctave_error_handler) | |
| 862 ("column dimension mismatch for stack"); | |
| 863 return *this; | |
| 864 } | |
| 865 | |
| 5275 | 866 octave_idx_type nr_insert = nr; |
| 458 | 867 ComplexMatrix retval (nr + 1, nc); |
| 868 retval.insert (*this, 0, 0); | |
| 869 retval.insert (a, nr_insert, 0); | |
| 870 return retval; | |
| 871 } | |
| 872 | |
| 873 ComplexMatrix | |
| 874 ComplexMatrix::stack (const ComplexColumnVector& a) const | |
| 875 { | |
| 5275 | 876 octave_idx_type nr = rows (); |
| 877 octave_idx_type nc = cols (); | |
| 458 | 878 if (nc != 1) |
| 879 { | |
| 880 (*current_liboctave_error_handler) | |
| 881 ("column dimension mismatch for stack"); | |
| 882 return *this; | |
| 883 } | |
| 884 | |
| 5275 | 885 octave_idx_type nr_insert = nr; |
| 458 | 886 ComplexMatrix retval (nr + a.length (), nc); |
| 887 retval.insert (*this, 0, 0); | |
| 888 retval.insert (a, nr_insert, 0); | |
| 889 return retval; | |
| 890 } | |
| 891 | |
| 892 ComplexMatrix | |
| 893 ComplexMatrix::stack (const ComplexDiagMatrix& a) const | |
| 894 { | |
| 5275 | 895 octave_idx_type nr = rows (); |
| 896 octave_idx_type nc = cols (); | |
| 458 | 897 if (nc != a.cols ()) |
| 898 { | |
| 899 (*current_liboctave_error_handler) | |
| 900 ("column dimension mismatch for stack"); | |
| 901 return *this; | |
| 902 } | |
| 903 | |
| 5275 | 904 octave_idx_type nr_insert = nr; |
| 458 | 905 ComplexMatrix retval (nr + a.rows (), nc); |
| 906 retval.insert (*this, 0, 0); | |
| 907 retval.insert (a, nr_insert, 0); | |
| 908 return retval; | |
| 909 } | |
| 910 | |
| 911 ComplexMatrix | |
| 912 conj (const ComplexMatrix& a) | |
| 913 { | |
| 5275 | 914 octave_idx_type a_len = a.length (); |
| 458 | 915 ComplexMatrix retval; |
| 916 if (a_len > 0) | |
| 3769 | 917 retval = ComplexMatrix (mx_inline_conj_dup (a.data (), a_len), |
| 918 a.rows (), a.cols ()); | |
| 458 | 919 return retval; |
| 920 } | |
| 921 | |
| 922 // resize is the destructive equivalent for this one | |
| 923 | |
| 924 ComplexMatrix | |
| 5275 | 925 ComplexMatrix::extract (octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2) const |
| 458 | 926 { |
| 5275 | 927 if (r1 > r2) { octave_idx_type tmp = r1; r1 = r2; r2 = tmp; } |
| 928 if (c1 > c2) { octave_idx_type tmp = c1; c1 = c2; c2 = tmp; } | |
| 929 | |
| 930 octave_idx_type new_r = r2 - r1 + 1; | |
| 931 octave_idx_type new_c = c2 - c1 + 1; | |
| 458 | 932 |
| 933 ComplexMatrix result (new_r, new_c); | |
| 934 | |
| 5275 | 935 for (octave_idx_type j = 0; j < new_c; j++) |
| 936 for (octave_idx_type i = 0; i < new_r; i++) | |
| 4316 | 937 result.xelem (i, j) = elem (r1+i, c1+j); |
| 938 | |
| 939 return result; | |
| 940 } | |
| 941 | |
| 942 ComplexMatrix | |
| 5275 | 943 ComplexMatrix::extract_n (octave_idx_type r1, octave_idx_type c1, octave_idx_type nr, octave_idx_type nc) const |
| 4316 | 944 { |
| 945 ComplexMatrix result (nr, nc); | |
| 946 | |
| 5275 | 947 for (octave_idx_type j = 0; j < nc; j++) |
| 948 for (octave_idx_type i = 0; i < nr; i++) | |
| 4316 | 949 result.xelem (i, j) = elem (r1+i, c1+j); |
| 458 | 950 |
| 951 return result; | |
| 952 } | |
| 953 | |
| 954 // extract row or column i. | |
| 955 | |
| 956 ComplexRowVector | |
| 5275 | 957 ComplexMatrix::row (octave_idx_type i) const |
| 458 | 958 { |
| 5275 | 959 octave_idx_type nc = cols (); |
| 458 | 960 if (i < 0 || i >= rows ()) |
| 961 { | |
| 962 (*current_liboctave_error_handler) ("invalid row selection"); | |
| 963 return ComplexRowVector (); | |
| 964 } | |
| 965 | |
| 966 ComplexRowVector retval (nc); | |
| 5275 | 967 for (octave_idx_type j = 0; j < cols (); j++) |
| 4316 | 968 retval.xelem (j) = elem (i, j); |
| 458 | 969 |
| 970 return retval; | |
| 971 } | |
| 972 | |
| 973 ComplexColumnVector | |
| 5275 | 974 ComplexMatrix::column (octave_idx_type i) const |
| 458 | 975 { |
| 5275 | 976 octave_idx_type nr = rows (); |
| 458 | 977 if (i < 0 || i >= cols ()) |
| 978 { | |
| 979 (*current_liboctave_error_handler) ("invalid column selection"); | |
| 980 return ComplexColumnVector (); | |
| 981 } | |
| 982 | |
| 983 ComplexColumnVector retval (nr); | |
| 5275 | 984 for (octave_idx_type j = 0; j < nr; j++) |
| 4316 | 985 retval.xelem (j) = elem (j, i); |
| 458 | 986 |
| 987 return retval; | |
| 988 } | |
| 989 | |
| 990 ComplexMatrix | |
| 991 ComplexMatrix::inverse (void) const | |
| 992 { | |
| 5275 | 993 octave_idx_type info; |
| 7788 | 994 double rcon; |
| 6207 | 995 MatrixType mattype (*this); |
| 7788 | 996 return inverse (mattype, info, rcon, 0, 0); |
| 6207 | 997 } |
| 998 | |
| 999 ComplexMatrix | |
| 6479 | 1000 ComplexMatrix::inverse (octave_idx_type& info) const |
| 1001 { | |
| 7788 | 1002 double rcon; |
| 6479 | 1003 MatrixType mattype (*this); |
| 7788 | 1004 return inverse (mattype, info, rcon, 0, 0); |
| 6479 | 1005 } |
| 1006 | |
| 1007 ComplexMatrix | |
| 7788 | 1008 ComplexMatrix::inverse (octave_idx_type& info, double& rcon, int force, |
| 6479 | 1009 int calc_cond) const |
| 1010 { | |
| 1011 MatrixType mattype (*this); | |
| 7788 | 1012 return inverse (mattype, info, rcon, force, calc_cond); |
| 6479 | 1013 } |
| 1014 | |
| 1015 ComplexMatrix | |
| 6207 | 1016 ComplexMatrix::inverse (MatrixType &mattype) const |
| 1017 { | |
| 1018 octave_idx_type info; | |
| 7788 | 1019 double rcon; |
| 1020 return inverse (mattype, info, rcon, 0, 0); | |
| 6207 | 1021 } |
| 1022 | |
| 1023 ComplexMatrix | |
| 1024 ComplexMatrix::inverse (MatrixType &mattype, octave_idx_type& info) const | |
| 1025 { | |
| 7788 | 1026 double rcon; |
| 1027 return inverse (mattype, info, rcon, 0, 0); | |
| 458 | 1028 } |
| 1029 | |
| 1030 ComplexMatrix | |
| 6207 | 1031 ComplexMatrix::tinverse (MatrixType &mattype, octave_idx_type& info, |
| 7788 | 1032 double& rcon, int force, int calc_cond) const |
| 458 | 1033 { |
| 6207 | 1034 ComplexMatrix retval; |
| 1035 | |
| 1036 octave_idx_type nr = rows (); | |
| 1037 octave_idx_type nc = cols (); | |
| 1038 | |
| 1039 if (nr != nc || nr == 0 || nc == 0) | |
| 1040 (*current_liboctave_error_handler) ("inverse requires square matrix"); | |
| 1041 else | |
| 1042 { | |
| 1043 int typ = mattype.type (); | |
| 1044 char uplo = (typ == MatrixType::Lower ? 'L' : 'U'); | |
| 1045 char udiag = 'N'; | |
| 1046 retval = *this; | |
| 1047 Complex *tmp_data = retval.fortran_vec (); | |
| 1048 | |
| 1049 F77_XFCN (ztrtri, ZTRTRI, (F77_CONST_CHAR_ARG2 (&uplo, 1), | |
| 1050 F77_CONST_CHAR_ARG2 (&udiag, 1), | |
| 1051 nr, tmp_data, nr, info | |
| 1052 F77_CHAR_ARG_LEN (1) | |
| 1053 F77_CHAR_ARG_LEN (1))); | |
| 1054 | |
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1055 // Throw-away extra info LAPACK gives so as to not change output. |
| 7788 | 1056 rcon = 0.0; |
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1057 if (info != 0) |
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1058 info = -1; |
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1059 else if (calc_cond) |
| 6207 | 1060 { |
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1061 octave_idx_type ztrcon_info = 0; |
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1062 char job = '1'; |
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1063 |
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1064 OCTAVE_LOCAL_BUFFER (Complex, cwork, 2*nr); |
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1065 OCTAVE_LOCAL_BUFFER (double, rwork, nr); |
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1066 |
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1067 F77_XFCN (ztrcon, ZTRCON, (F77_CONST_CHAR_ARG2 (&job, 1), |
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1068 F77_CONST_CHAR_ARG2 (&uplo, 1), |
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1069 F77_CONST_CHAR_ARG2 (&udiag, 1), |
| 7788 | 1070 nr, tmp_data, nr, rcon, |
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1071 cwork, rwork, ztrcon_info |
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1072 F77_CHAR_ARG_LEN (1) |
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1073 F77_CHAR_ARG_LEN (1) |
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1074 F77_CHAR_ARG_LEN (1))); |
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1075 |
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1076 if (ztrcon_info != 0) |
| 6207 | 1077 info = -1; |
| 1078 } | |
| 1079 | |
| 1080 if (info == -1 && ! force) | |
| 1081 retval = *this; // Restore matrix contents. | |
| 1082 } | |
| 1083 | |
| 1084 return retval; | |
| 458 | 1085 } |
| 1086 | |
| 1087 ComplexMatrix | |
| 6207 | 1088 ComplexMatrix::finverse (MatrixType &mattype, octave_idx_type& info, |
| 7788 | 1089 double& rcon, int force, int calc_cond) const |
| 458 | 1090 { |
| 1948 | 1091 ComplexMatrix retval; |
| 1092 | |
| 5275 | 1093 octave_idx_type nr = rows (); |
| 1094 octave_idx_type nc = cols (); | |
| 1948 | 1095 |
| 458 | 1096 if (nr != nc) |
| 1948 | 1097 (*current_liboctave_error_handler) ("inverse requires square matrix"); |
| 458 | 1098 else |
| 1099 { | |
| 5275 | 1100 Array<octave_idx_type> ipvt (nr); |
| 1101 octave_idx_type *pipvt = ipvt.fortran_vec (); | |
| 1948 | 1102 |
| 1103 retval = *this; | |
| 1104 Complex *tmp_data = retval.fortran_vec (); | |
| 1105 | |
| 4329 | 1106 Array<Complex> z(1); |
| 5275 | 1107 octave_idx_type lwork = -1; |
| 4330 | 1108 |
| 1109 // Query the optimum work array size. | |
| 4329 | 1110 |
| 1111 F77_XFCN (zgetri, ZGETRI, (nc, tmp_data, nr, pipvt, | |
| 1112 z.fortran_vec (), lwork, info)); | |
| 1113 | |
| 5315 | 1114 lwork = static_cast<octave_idx_type> (std::real(z(0))); |
| 4329 | 1115 lwork = (lwork < 2 *nc ? 2*nc : lwork); |
| 1116 z.resize (lwork); | |
| 1117 Complex *pz = z.fortran_vec (); | |
| 1118 | |
| 1119 info = 0; | |
| 1120 | |
| 4330 | 1121 // Calculate the norm of the matrix, for later use. |
| 4329 | 1122 double anorm; |
| 1123 if (calc_cond) | |
| 5275 | 1124 anorm = retval.abs().sum().row(static_cast<octave_idx_type>(0)).max(); |
| 4329 | 1125 |
| 1126 F77_XFCN (zgetrf, ZGETRF, (nc, nc, tmp_data, nr, pipvt, info)); | |
| 1948 | 1127 |
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1128 // Throw-away extra info LAPACK gives so as to not change output. |
| 7788 | 1129 rcon = 0.0; |
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1130 if (info != 0) |
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1131 info = -1; |
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1132 else if (calc_cond) |
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1133 { |
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1134 // Now calculate the condition number for non-singular matrix. |
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1135 octave_idx_type zgecon_info = 0; |
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1136 char job = '1'; |
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1137 Array<double> rz (2 * nc); |
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1138 double *prz = rz.fortran_vec (); |
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1139 F77_XFCN (zgecon, ZGECON, (F77_CONST_CHAR_ARG2 (&job, 1), |
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1140 nc, tmp_data, nr, anorm, |
| 7788 | 1141 rcon, pz, prz, zgecon_info |
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1142 F77_CHAR_ARG_LEN (1))); |
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1143 |
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1144 if (zgecon_info != 0) |
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1145 info = -1; |
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1146 } |
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1147 |
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1148 if (info == -1 && ! force) |
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1149 retval = *this; // Restore contents. |
| 1948 | 1150 else |
| 1151 { | |
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1152 octave_idx_type zgetri_info = 0; |
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1153 |
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1154 F77_XFCN (zgetri, ZGETRI, (nc, tmp_data, nr, pipvt, |
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1155 pz, lwork, zgetri_info)); |
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1156 |
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1157 if (zgetri_info != 0) |
| 1948 | 1158 info = -1; |
| 1159 } | |
| 6207 | 1160 |
| 1161 if (info != 0) | |
| 1162 mattype.mark_as_rectangular(); | |
| 458 | 1163 } |
| 4329 | 1164 |
| 1948 | 1165 return retval; |
| 458 | 1166 } |
| 1167 | |
| 1168 ComplexMatrix | |
| 6207 | 1169 ComplexMatrix::inverse (MatrixType &mattype, octave_idx_type& info, |
| 7788 | 1170 double& rcon, int force, int calc_cond) const |
| 6207 | 1171 { |
| 1172 int typ = mattype.type (false); | |
| 1173 ComplexMatrix ret; | |
| 1174 | |
| 1175 if (typ == MatrixType::Unknown) | |
| 1176 typ = mattype.type (*this); | |
| 1177 | |
| 1178 if (typ == MatrixType::Upper || typ == MatrixType::Lower) | |
| 7788 | 1179 ret = tinverse (mattype, info, rcon, force, calc_cond); |
| 6840 | 1180 else |
| 6207 | 1181 { |
| 1182 if (mattype.is_hermitian ()) | |
| 1183 { | |
| 6486 | 1184 ComplexCHOL chol (*this, info, calc_cond); |
| 6207 | 1185 if (info == 0) |
| 6486 | 1186 { |
| 1187 if (calc_cond) | |
| 7788 | 1188 rcon = chol.rcond(); |
| 6486 | 1189 else |
| 7788 | 1190 rcon = 1.0; |
| 6486 | 1191 ret = chol.inverse (); |
| 1192 } | |
| 6207 | 1193 else |
| 1194 mattype.mark_as_unsymmetric (); | |
| 1195 } | |
| 1196 | |
| 1197 if (!mattype.is_hermitian ()) | |
| 7788 | 1198 ret = finverse(mattype, info, rcon, force, calc_cond); |
| 1199 | |
| 1200 if ((mattype.is_hermitian () || calc_cond) && rcon == 0.) | |
| 6840 | 1201 ret = ComplexMatrix (rows (), columns (), Complex (octave_Inf, 0.)); |
| 6207 | 1202 } |
| 1203 | |
| 1204 return ret; | |
| 1205 } | |
| 1206 | |
| 1207 ComplexMatrix | |
| 4384 | 1208 ComplexMatrix::pseudo_inverse (double tol) const |
| 740 | 1209 { |
| 1549 | 1210 ComplexMatrix retval; |
| 1211 | |
| 3480 | 1212 ComplexSVD result (*this, SVD::economy); |
| 740 | 1213 |
| 1214 DiagMatrix S = result.singular_values (); | |
| 1215 ComplexMatrix U = result.left_singular_matrix (); | |
| 1216 ComplexMatrix V = result.right_singular_matrix (); | |
| 1217 | |
| 1218 ColumnVector sigma = S.diag (); | |
| 1219 | |
| 5275 | 1220 octave_idx_type r = sigma.length () - 1; |
| 1221 octave_idx_type nr = rows (); | |
| 1222 octave_idx_type nc = cols (); | |
| 740 | 1223 |
| 1224 if (tol <= 0.0) | |
| 1225 { | |
| 1226 if (nr > nc) | |
| 1227 tol = nr * sigma.elem (0) * DBL_EPSILON; | |
| 1228 else | |
| 1229 tol = nc * sigma.elem (0) * DBL_EPSILON; | |
| 1230 } | |
| 1231 | |
| 1232 while (r >= 0 && sigma.elem (r) < tol) | |
| 1233 r--; | |
| 1234 | |
| 1235 if (r < 0) | |
| 1549 | 1236 retval = ComplexMatrix (nc, nr, 0.0); |
| 740 | 1237 else |
| 1238 { | |
| 1239 ComplexMatrix Ur = U.extract (0, 0, nr-1, r); | |
| 1240 DiagMatrix D = DiagMatrix (sigma.extract (0, r)) . inverse (); | |
| 1241 ComplexMatrix Vr = V.extract (0, 0, nc-1, r); | |
| 1549 | 1242 retval = Vr * D * Ur.hermitian (); |
| 740 | 1243 } |
| 1549 | 1244 |
| 1245 return retval; | |
| 740 | 1246 } |
| 1247 | |
| 4773 | 1248 #if defined (HAVE_FFTW3) |
| 3827 | 1249 |
| 1250 ComplexMatrix | |
| 1251 ComplexMatrix::fourier (void) const | |
| 1252 { | |
| 1253 size_t nr = rows (); | |
| 1254 size_t nc = cols (); | |
| 1255 | |
| 1256 ComplexMatrix retval (nr, nc); | |
| 1257 | |
| 1258 size_t npts, nsamples; | |
| 1259 | |
| 1260 if (nr == 1 || nc == 1) | |
| 1261 { | |
| 1262 npts = nr > nc ? nr : nc; | |
| 1263 nsamples = 1; | |
| 1264 } | |
| 1265 else | |
| 1266 { | |
| 1267 npts = nr; | |
| 1268 nsamples = nc; | |
| 1269 } | |
| 1270 | |
| 1271 const Complex *in (data ()); | |
| 1272 Complex *out (retval.fortran_vec ()); | |
| 1273 | |
| 4773 | 1274 octave_fftw::fft (in, out, npts, nsamples); |
| 3827 | 1275 |
| 1276 return retval; | |
| 1277 } | |
| 1278 | |
| 1279 ComplexMatrix | |
| 1280 ComplexMatrix::ifourier (void) const | |
| 1281 { | |
| 1282 size_t nr = rows (); | |
| 1283 size_t nc = cols (); | |
| 1284 | |
| 1285 ComplexMatrix retval (nr, nc); | |
| 1286 | |
| 1287 size_t npts, nsamples; | |
| 1288 | |
| 1289 if (nr == 1 || nc == 1) | |
| 1290 { | |
| 1291 npts = nr > nc ? nr : nc; | |
| 1292 nsamples = 1; | |
| 1293 } | |
| 1294 else | |
| 1295 { | |
| 1296 npts = nr; | |
| 1297 nsamples = nc; | |
| 1298 } | |
| 1299 | |
| 1300 const Complex *in (data ()); | |
| 1301 Complex *out (retval.fortran_vec ()); | |
| 1302 | |
| 4773 | 1303 octave_fftw::ifft (in, out, npts, nsamples); |
| 3827 | 1304 |
| 1305 return retval; | |
| 1306 } | |
| 1307 | |
| 1308 ComplexMatrix | |
| 1309 ComplexMatrix::fourier2d (void) const | |
| 1310 { | |
| 4773 | 1311 dim_vector dv(rows (), cols ()); |
| 1312 | |
| 1313 ComplexMatrix retval (rows (), cols ()); | |
| 1314 const Complex *in (data ()); | |
| 1315 Complex *out (retval.fortran_vec ()); | |
| 1316 | |
| 1317 octave_fftw::fftNd (in, out, 2, dv); | |
| 3827 | 1318 |
| 1319 return retval; | |
| 1320 } | |
| 1321 | |
| 1322 ComplexMatrix | |
| 1323 ComplexMatrix::ifourier2d (void) const | |
| 1324 { | |
| 4773 | 1325 dim_vector dv(rows (), cols ()); |
| 1326 | |
| 1327 ComplexMatrix retval (rows (), cols ()); | |
| 1328 const Complex *in (data ()); | |
| 1329 Complex *out (retval.fortran_vec ()); | |
| 1330 | |
| 1331 octave_fftw::ifftNd (in, out, 2, dv); | |
| 3827 | 1332 |
| 1333 return retval; | |
| 1334 } | |
| 1335 | |
| 1336 #else | |
| 1337 | |
| 740 | 1338 ComplexMatrix |
| 458 | 1339 ComplexMatrix::fourier (void) const |
| 1340 { | |
| 1948 | 1341 ComplexMatrix retval; |
| 1342 | |
| 5275 | 1343 octave_idx_type nr = rows (); |
| 1344 octave_idx_type nc = cols (); | |
| 1345 | |
| 1346 octave_idx_type npts, nsamples; | |
| 1948 | 1347 |
| 458 | 1348 if (nr == 1 || nc == 1) |
| 1349 { | |
| 1350 npts = nr > nc ? nr : nc; | |
| 1351 nsamples = 1; | |
| 1352 } | |
| 1353 else | |
| 1354 { | |
| 1355 npts = nr; | |
| 1356 nsamples = nc; | |
| 1357 } | |
| 1358 | |
| 5275 | 1359 octave_idx_type nn = 4*npts+15; |
| 1948 | 1360 |
| 1361 Array<Complex> wsave (nn); | |
| 1362 Complex *pwsave = wsave.fortran_vec (); | |
| 1363 | |
| 1364 retval = *this; | |
| 1365 Complex *tmp_data = retval.fortran_vec (); | |
| 1366 | |
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1367 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
| 458 | 1368 |
| 5275 | 1369 for (octave_idx_type j = 0; j < nsamples; j++) |
| 4153 | 1370 { |
| 1371 OCTAVE_QUIT; | |
| 1372 | |
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1373 F77_FUNC (zfftf, ZFFTF) (npts, &tmp_data[npts*j], pwsave); |
| 4153 | 1374 } |
| 1948 | 1375 |
| 1376 return retval; | |
| 458 | 1377 } |
| 1378 | |
| 1379 ComplexMatrix | |
| 1380 ComplexMatrix::ifourier (void) const | |
| 1381 { | |
| 1948 | 1382 ComplexMatrix retval; |
| 1383 | |
| 5275 | 1384 octave_idx_type nr = rows (); |
| 1385 octave_idx_type nc = cols (); | |
| 1386 | |
| 1387 octave_idx_type npts, nsamples; | |
| 1948 | 1388 |
| 458 | 1389 if (nr == 1 || nc == 1) |
| 1390 { | |
| 1391 npts = nr > nc ? nr : nc; | |
| 1392 nsamples = 1; | |
| 1393 } | |
| 1394 else | |
| 1395 { | |
| 1396 npts = nr; | |
| 1397 nsamples = nc; | |
| 1398 } | |
| 1399 | |
| 5275 | 1400 octave_idx_type nn = 4*npts+15; |
| 1948 | 1401 |
| 1402 Array<Complex> wsave (nn); | |
| 1403 Complex *pwsave = wsave.fortran_vec (); | |
| 1404 | |
| 1405 retval = *this; | |
| 1406 Complex *tmp_data = retval.fortran_vec (); | |
| 1407 | |
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1408 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
| 458 | 1409 |
| 5275 | 1410 for (octave_idx_type j = 0; j < nsamples; j++) |
| 4153 | 1411 { |
| 1412 OCTAVE_QUIT; | |
| 1413 | |
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1414 F77_FUNC (zfftb, ZFFTB) (npts, &tmp_data[npts*j], pwsave); |
| 4153 | 1415 } |
| 458 | 1416 |
| 5275 | 1417 for (octave_idx_type j = 0; j < npts*nsamples; j++) |
| 3572 | 1418 tmp_data[j] = tmp_data[j] / static_cast<double> (npts); |
| 458 | 1419 |
| 1948 | 1420 return retval; |
| 458 | 1421 } |
| 1422 | |
| 677 | 1423 ComplexMatrix |
| 1424 ComplexMatrix::fourier2d (void) const | |
| 1425 { | |
| 1948 | 1426 ComplexMatrix retval; |
| 1427 | |
| 5275 | 1428 octave_idx_type nr = rows (); |
| 1429 octave_idx_type nc = cols (); | |
| 1430 | |
| 1431 octave_idx_type npts, nsamples; | |
| 1948 | 1432 |
| 677 | 1433 if (nr == 1 || nc == 1) |
| 1434 { | |
| 1435 npts = nr > nc ? nr : nc; | |
| 1436 nsamples = 1; | |
| 1437 } | |
| 1438 else | |
| 1439 { | |
| 1440 npts = nr; | |
| 1441 nsamples = nc; | |
| 1442 } | |
| 1443 | |
| 5275 | 1444 octave_idx_type nn = 4*npts+15; |
| 1948 | 1445 |
| 1446 Array<Complex> wsave (nn); | |
| 1447 Complex *pwsave = wsave.fortran_vec (); | |
| 1448 | |
| 1449 retval = *this; | |
| 1450 Complex *tmp_data = retval.fortran_vec (); | |
| 1451 | |
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1452 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
| 677 | 1453 |
| 5275 | 1454 for (octave_idx_type j = 0; j < nsamples; j++) |
| 4153 | 1455 { |
| 1456 OCTAVE_QUIT; | |
| 1457 | |
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1458 F77_FUNC (zfftf, ZFFTF) (npts, &tmp_data[npts*j], pwsave); |
| 4153 | 1459 } |
| 677 | 1460 |
| 1461 npts = nc; | |
| 1462 nsamples = nr; | |
| 1463 nn = 4*npts+15; | |
| 1948 | 1464 |
| 1465 wsave.resize (nn); | |
| 1466 pwsave = wsave.fortran_vec (); | |
| 1467 | |
| 4773 | 1468 Array<Complex> tmp (npts); |
| 1469 Complex *prow = tmp.fortran_vec (); | |
| 1948 | 1470 |
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1471 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
| 677 | 1472 |
| 5275 | 1473 for (octave_idx_type j = 0; j < nsamples; j++) |
| 677 | 1474 { |
| 4153 | 1475 OCTAVE_QUIT; |
| 1476 | |
| 5275 | 1477 for (octave_idx_type i = 0; i < npts; i++) |
| 1948 | 1478 prow[i] = tmp_data[i*nr + j]; |
| 1479 | |
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1480 F77_FUNC (zfftf, ZFFTF) (npts, prow, pwsave); |
| 677 | 1481 |
| 5275 | 1482 for (octave_idx_type i = 0; i < npts; i++) |
| 1948 | 1483 tmp_data[i*nr + j] = prow[i]; |
| 677 | 1484 } |
| 1485 | |
| 1948 | 1486 return retval; |
| 677 | 1487 } |
| 1488 | |
| 1489 ComplexMatrix | |
| 1490 ComplexMatrix::ifourier2d (void) const | |
| 1491 { | |
| 1948 | 1492 ComplexMatrix retval; |
| 1493 | |
| 5275 | 1494 octave_idx_type nr = rows (); |
| 1495 octave_idx_type nc = cols (); | |
| 1496 | |
| 1497 octave_idx_type npts, nsamples; | |
| 1948 | 1498 |
| 677 | 1499 if (nr == 1 || nc == 1) |
| 1500 { | |
| 1501 npts = nr > nc ? nr : nc; | |
| 1502 nsamples = 1; | |
| 1503 } | |
| 1504 else | |
| 1505 { | |
| 1506 npts = nr; | |
| 1507 nsamples = nc; | |
| 1508 } | |
| 1509 | |
| 5275 | 1510 octave_idx_type nn = 4*npts+15; |
| 1948 | 1511 |
| 1512 Array<Complex> wsave (nn); | |
| 1513 Complex *pwsave = wsave.fortran_vec (); | |
| 1514 | |
| 1515 retval = *this; | |
| 1516 Complex *tmp_data = retval.fortran_vec (); | |
| 1517 | |
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1518 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
| 677 | 1519 |
| 5275 | 1520 for (octave_idx_type j = 0; j < nsamples; j++) |
| 4153 | 1521 { |
| 1522 OCTAVE_QUIT; | |
| 1523 | |
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1524 F77_FUNC (zfftb, ZFFTB) (npts, &tmp_data[npts*j], pwsave); |
| 4153 | 1525 } |
| 677 | 1526 |
| 5275 | 1527 for (octave_idx_type j = 0; j < npts*nsamples; j++) |
| 3572 | 1528 tmp_data[j] = tmp_data[j] / static_cast<double> (npts); |
| 677 | 1529 |
| 1530 npts = nc; | |
| 1531 nsamples = nr; | |
| 1532 nn = 4*npts+15; | |
| 1948 | 1533 |
| 1534 wsave.resize (nn); | |
| 1535 pwsave = wsave.fortran_vec (); | |
| 1536 | |
| 4773 | 1537 Array<Complex> tmp (npts); |
| 1538 Complex *prow = tmp.fortran_vec (); | |
| 1948 | 1539 |
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1540 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
| 677 | 1541 |
| 5275 | 1542 for (octave_idx_type j = 0; j < nsamples; j++) |
| 677 | 1543 { |
| 4153 | 1544 OCTAVE_QUIT; |
| 1545 | |
| 5275 | 1546 for (octave_idx_type i = 0; i < npts; i++) |
| 1948 | 1547 prow[i] = tmp_data[i*nr + j]; |
| 1548 | |
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1549 F77_FUNC (zfftb, ZFFTB) (npts, prow, pwsave); |
| 677 | 1550 |
| 5275 | 1551 for (octave_idx_type i = 0; i < npts; i++) |
| 3572 | 1552 tmp_data[i*nr + j] = prow[i] / static_cast<double> (npts); |
| 677 | 1553 } |
| 1554 | |
| 1948 | 1555 return retval; |
| 677 | 1556 } |
| 1557 | |
| 3827 | 1558 #endif |
| 1559 | |
| 458 | 1560 ComplexDET |
| 1561 ComplexMatrix::determinant (void) const | |
| 1562 { | |
| 5275 | 1563 octave_idx_type info; |
| 7788 | 1564 double rcon; |
| 1565 return determinant (info, rcon, 0); | |
| 458 | 1566 } |
| 1567 | |
| 1568 ComplexDET | |
| 5275 | 1569 ComplexMatrix::determinant (octave_idx_type& info) const |
| 458 | 1570 { |
| 7788 | 1571 double rcon; |
| 1572 return determinant (info, rcon, 0); | |
| 458 | 1573 } |
| 1574 | |
| 1575 ComplexDET | |
| 7788 | 1576 ComplexMatrix::determinant (octave_idx_type& info, double& rcon, int calc_cond) const |
| 458 | 1577 { |
|
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1578 MatrixType mattype (*this); |
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1579 return determinant (mattype, info, rcon, calc_cond); |
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1580 } |
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1581 |
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1582 ComplexDET |
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1583 ComplexMatrix::determinant (MatrixType& mattype, |
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1584 octave_idx_type& info, double& rcon, int calc_cond) const |
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1585 { |
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1586 ComplexDET retval (1.0); |
| 458 | 1587 |
| 5275 | 1588 octave_idx_type nr = rows (); |
| 1589 octave_idx_type nc = cols (); | |
| 458 | 1590 |
|
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1591 if (nr != nc) |
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1592 (*current_liboctave_error_handler) ("matrix must be square"); |
| 458 | 1593 else |
| 1594 { | |
|
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1595 int typ = mattype.type (); |
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1596 |
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1597 if (typ == MatrixType::Lower || typ == MatrixType::Upper) |
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1598 { |
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1599 for (octave_idx_type i = 0; i < nc; i++) |
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1600 retval *= elem (i,i); |
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1601 } |
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1602 else if (typ == MatrixType::Hermitian) |
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1603 { |
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1604 ComplexMatrix atmp = *this; |
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1605 Complex *tmp_data = atmp.fortran_vec (); |
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1606 |
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1607 info = 0; |
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1608 double anorm = 0; |
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1609 if (calc_cond) anorm = xnorm (*this, 1); |
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1610 |
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1611 |
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1612 char job = 'L'; |
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1613 F77_XFCN (zpotrf, ZPOTRF, (F77_CONST_CHAR_ARG2 (&job, 1), nr, |
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1614 tmp_data, nr, info |
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1615 F77_CHAR_ARG_LEN (1))); |
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1616 |
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1617 if (info != 0) |
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1618 { |
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1619 rcon = 0.0; |
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1620 mattype.mark_as_unsymmetric (); |
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1621 typ = MatrixType::Full; |
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1622 } |
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1623 else |
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1624 { |
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1625 Array<Complex> z (2 * nc); |
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1626 Complex *pz = z.fortran_vec (); |
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1627 Array<double> rz (nc); |
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1628 double *prz = rz.fortran_vec (); |
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1629 |
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1630 F77_XFCN (zpocon, ZPOCON, (F77_CONST_CHAR_ARG2 (&job, 1), |
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1631 nr, tmp_data, nr, anorm, |
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1632 rcon, pz, prz, info |
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1633 F77_CHAR_ARG_LEN (1))); |
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1634 |
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1635 if (info != 0) |
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1636 rcon = 0.0; |
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1637 |
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1638 for (octave_idx_type i = 0; i < nc; i++) |
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1639 retval *= elem (i,i); |
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1640 |
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1641 retval = retval.square (); |
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1642 } |
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1643 } |
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1644 else if (typ != MatrixType::Full) |
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1645 (*current_liboctave_error_handler) ("det: invalid dense matrix type"); |
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1646 |
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1647 if (typ == MatrixType::Full) |
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1648 { |
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1649 Array<octave_idx_type> ipvt (nr); |
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1650 octave_idx_type *pipvt = ipvt.fortran_vec (); |
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1651 |
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1652 ComplexMatrix atmp = *this; |
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1653 Complex *tmp_data = atmp.fortran_vec (); |
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1654 |
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1655 info = 0; |
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1656 |
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1657 // Calculate the norm of the matrix, for later use. |
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1658 double anorm = 0; |
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1659 if (calc_cond) anorm = xnorm (*this, 1); |
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1660 |
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1661 F77_XFCN (zgetrf, ZGETRF, (nr, nr, tmp_data, nr, pipvt, info)); |
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1662 |
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1663 // Throw-away extra info LAPACK gives so as to not change output. |
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1664 rcon = 0.0; |
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1665 if (info != 0) |
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1666 { |
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1667 info = -1; |
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1668 retval = ComplexDET (); |
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1669 } |
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1670 else |
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1671 { |
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1672 if (calc_cond) |
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1673 { |
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1674 // Now calc the condition number for non-singular matrix. |
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1675 char job = '1'; |
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1676 Array<Complex> z (2 * nc); |
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1677 Complex *pz = z.fortran_vec (); |
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1678 Array<double> rz (2 * nc); |
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1679 double *prz = rz.fortran_vec (); |
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1680 |
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1681 F77_XFCN (zgecon, ZGECON, (F77_CONST_CHAR_ARG2 (&job, 1), |
|
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1682 nc, tmp_data, nr, anorm, |
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1683 rcon, pz, prz, info |
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1684 F77_CHAR_ARG_LEN (1))); |
| 8335 | 1685 } |
|
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1686 |
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1687 if (info != 0) |
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1688 { |
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1689 info = -1; |
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1690 retval = ComplexDET (); |
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1691 } |
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1692 else |
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1693 { |
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1694 for (octave_idx_type i = 0; i < nc; i++) |
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1695 { |
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1696 Complex c = atmp(i,i); |
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1697 retval *= (ipvt(i) != (i+1)) ? -c : c; |
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1698 } |
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1699 } |
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1700 } |
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1701 } |
| 458 | 1702 } |
|
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1703 |
| 458 | 1704 return retval; |
| 1705 } | |
| 1706 | |
| 7788 | 1707 double |
| 1708 ComplexMatrix::rcond (void) const | |
| 1709 { | |
| 1710 MatrixType mattype (*this); | |
| 1711 return rcond (mattype); | |
| 1712 } | |
| 1713 | |
| 1714 double | |
| 1715 ComplexMatrix::rcond (MatrixType &mattype) const | |
| 1716 { | |
| 1717 double rcon; | |
| 1718 octave_idx_type nr = rows (); | |
| 1719 octave_idx_type nc = cols (); | |
| 1720 | |
| 1721 if (nr != nc) | |
| 1722 (*current_liboctave_error_handler) ("matrix must be square"); | |
| 1723 else if (nr == 0 || nc == 0) | |
| 1724 rcon = octave_Inf; | |
| 1725 else | |
| 1726 { | |
| 1727 int typ = mattype.type (); | |
| 1728 | |
| 1729 if (typ == MatrixType::Unknown) | |
| 1730 typ = mattype.type (*this); | |
| 1731 | |
| 1732 // Only calculate the condition number for LU/Cholesky | |
| 1733 if (typ == MatrixType::Upper) | |
| 1734 { | |
| 1735 const Complex *tmp_data = fortran_vec (); | |
| 1736 octave_idx_type info = 0; | |
| 1737 char norm = '1'; | |
| 1738 char uplo = 'U'; | |
| 1739 char dia = 'N'; | |
| 1740 | |
| 1741 Array<Complex> z (2 * nc); | |
| 1742 Complex *pz = z.fortran_vec (); | |
| 1743 Array<double> rz (nc); | |
| 1744 double *prz = rz.fortran_vec (); | |
| 1745 | |
| 1746 F77_XFCN (ztrcon, ZTRCON, (F77_CONST_CHAR_ARG2 (&norm, 1), | |
| 1747 F77_CONST_CHAR_ARG2 (&uplo, 1), | |
| 1748 F77_CONST_CHAR_ARG2 (&dia, 1), | |
| 1749 nr, tmp_data, nr, rcon, | |
| 1750 pz, prz, info | |
| 1751 F77_CHAR_ARG_LEN (1) | |
| 1752 F77_CHAR_ARG_LEN (1) | |
| 1753 F77_CHAR_ARG_LEN (1))); | |
| 1754 | |
| 1755 if (info != 0) | |
| 1756 rcon = 0; | |
| 1757 } | |
| 1758 else if (typ == MatrixType::Permuted_Upper) | |
| 1759 (*current_liboctave_error_handler) | |
| 1760 ("permuted triangular matrix not implemented"); | |
| 1761 else if (typ == MatrixType::Lower) | |
| 1762 { | |
| 1763 const Complex *tmp_data = fortran_vec (); | |
| 1764 octave_idx_type info = 0; | |
| 1765 char norm = '1'; | |
| 1766 char uplo = 'L'; | |
| 1767 char dia = 'N'; | |
| 1768 | |
| 1769 Array<Complex> z (2 * nc); | |
| 1770 Complex *pz = z.fortran_vec (); | |
| 1771 Array<double> rz (nc); | |
| 1772 double *prz = rz.fortran_vec (); | |
| 1773 | |
| 1774 F77_XFCN (ztrcon, ZTRCON, (F77_CONST_CHAR_ARG2 (&norm, 1), | |
| 1775 F77_CONST_CHAR_ARG2 (&uplo, 1), | |
| 1776 F77_CONST_CHAR_ARG2 (&dia, 1), | |
| 1777 nr, tmp_data, nr, rcon, | |
| 1778 pz, prz, info | |
| 1779 F77_CHAR_ARG_LEN (1) | |
| 1780 F77_CHAR_ARG_LEN (1) | |
| 1781 F77_CHAR_ARG_LEN (1))); | |
| 1782 | |
| 1783 if (info != 0) | |
| 1784 rcon = 0.0; | |
| 1785 } | |
| 1786 else if (typ == MatrixType::Permuted_Lower) | |
| 1787 (*current_liboctave_error_handler) | |
| 1788 ("permuted triangular matrix not implemented"); | |
| 1789 else if (typ == MatrixType::Full || typ == MatrixType::Hermitian) | |
| 1790 { | |
| 1791 double anorm = -1.0; | |
| 1792 ComplexMatrix atmp = *this; | |
| 1793 Complex *tmp_data = atmp.fortran_vec (); | |
| 1794 | |
| 1795 if (typ == MatrixType::Hermitian) | |
| 1796 { | |
| 1797 octave_idx_type info = 0; | |
| 1798 char job = 'L'; | |
| 1799 anorm = atmp.abs().sum(). | |
| 1800 row(static_cast<octave_idx_type>(0)).max(); | |
| 1801 | |
| 1802 F77_XFCN (zpotrf, ZPOTRF, (F77_CONST_CHAR_ARG2 (&job, 1), nr, | |
| 1803 tmp_data, nr, info | |
| 1804 F77_CHAR_ARG_LEN (1))); | |
| 1805 | |
| 1806 if (info != 0) | |
| 1807 { | |
| 1808 rcon = 0.0; | |
| 1809 | |
| 1810 mattype.mark_as_unsymmetric (); | |
| 1811 typ = MatrixType::Full; | |
| 1812 } | |
| 1813 else | |
| 1814 { | |
| 1815 Array<Complex> z (2 * nc); | |
| 1816 Complex *pz = z.fortran_vec (); | |
| 1817 Array<double> rz (nc); | |
| 1818 double *prz = rz.fortran_vec (); | |
| 1819 | |
| 1820 F77_XFCN (zpocon, ZPOCON, (F77_CONST_CHAR_ARG2 (&job, 1), | |
| 1821 nr, tmp_data, nr, anorm, | |
| 1822 rcon, pz, prz, info | |
| 1823 F77_CHAR_ARG_LEN (1))); | |
| 1824 | |
| 1825 if (info != 0) | |
| 1826 rcon = 0.0; | |
| 1827 } | |
| 1828 } | |
| 1829 | |
| 1830 | |
| 1831 if (typ == MatrixType::Full) | |
| 1832 { | |
| 1833 octave_idx_type info = 0; | |
| 1834 | |
| 1835 Array<octave_idx_type> ipvt (nr); | |
| 1836 octave_idx_type *pipvt = ipvt.fortran_vec (); | |
| 1837 | |
| 1838 if(anorm < 0.) | |
| 1839 anorm = atmp.abs().sum(). | |
| 1840 row(static_cast<octave_idx_type>(0)).max(); | |
| 1841 | |
| 1842 Array<Complex> z (2 * nc); | |
| 1843 Complex *pz = z.fortran_vec (); | |
| 1844 Array<double> rz (2 * nc); | |
| 1845 double *prz = rz.fortran_vec (); | |
| 1846 | |
| 1847 F77_XFCN (zgetrf, ZGETRF, (nr, nr, tmp_data, nr, pipvt, info)); | |
| 1848 | |
| 1849 if (info != 0) | |
| 1850 { | |
| 1851 rcon = 0.0; | |
| 1852 mattype.mark_as_rectangular (); | |
| 1853 } | |
| 1854 else | |
| 1855 { | |
| 1856 char job = '1'; | |
| 1857 F77_XFCN (zgecon, ZGECON, (F77_CONST_CHAR_ARG2 (&job, 1), | |
| 1858 nc, tmp_data, nr, anorm, | |
| 1859 rcon, pz, prz, info | |
| 1860 F77_CHAR_ARG_LEN (1))); | |
| 1861 | |
| 1862 if (info != 0) | |
| 1863 rcon = 0.0; | |
| 1864 } | |
| 1865 } | |
| 1866 } | |
| 1867 else | |
| 1868 rcon = 0.0; | |
| 1869 } | |
| 1870 | |
| 1871 return rcon; | |
| 1872 } | |
| 1873 | |
| 458 | 1874 ComplexMatrix |
| 5785 | 1875 ComplexMatrix::utsolve (MatrixType &mattype, const ComplexMatrix& b, |
| 7788 | 1876 octave_idx_type& info, double& rcon, |
| 5785 | 1877 solve_singularity_handler sing_handler, |
| 1878 bool calc_cond) const | |
| 1879 { | |
| 1880 ComplexMatrix retval; | |
| 1881 | |
| 1882 octave_idx_type nr = rows (); | |
| 1883 octave_idx_type nc = cols (); | |
| 1884 | |
| 6924 | 1885 if (nr != b.rows ()) |
| 5785 | 1886 (*current_liboctave_error_handler) |
| 1887 ("matrix dimension mismatch solution of linear equations"); | |
| 6924 | 1888 else if (nr == 0 || nc == 0 || b.cols () == 0) |
| 1889 retval = ComplexMatrix (nc, b.cols (), Complex (0.0, 0.0)); | |
| 5785 | 1890 else |
| 1891 { | |
| 1892 volatile int typ = mattype.type (); | |
| 1893 | |
| 1894 if (typ == MatrixType::Permuted_Upper || | |
| 1895 typ == MatrixType::Upper) | |
| 1896 { | |
| 1897 octave_idx_type b_nc = b.cols (); | |
| 7788 | 1898 rcon = 1.; |
| 5785 | 1899 info = 0; |
| 1900 | |
| 1901 if (typ == MatrixType::Permuted_Upper) | |
| 1902 { | |
| 1903 (*current_liboctave_error_handler) | |
| 6390 | 1904 ("permuted triangular matrix not implemented"); |
| 5785 | 1905 } |
| 1906 else | |
| 1907 { | |
| 1908 const Complex *tmp_data = fortran_vec (); | |
| 1909 | |
| 1910 if (calc_cond) | |
| 1911 { | |
| 1912 char norm = '1'; | |
| 1913 char uplo = 'U'; | |
| 1914 char dia = 'N'; | |
| 1915 | |
| 1916 Array<Complex> z (2 * nc); | |
| 1917 Complex *pz = z.fortran_vec (); | |
| 1918 Array<double> rz (nc); | |
| 1919 double *prz = rz.fortran_vec (); | |
| 1920 | |
| 1921 F77_XFCN (ztrcon, ZTRCON, (F77_CONST_CHAR_ARG2 (&norm, 1), | |
| 1922 F77_CONST_CHAR_ARG2 (&uplo, 1), | |
| 1923 F77_CONST_CHAR_ARG2 (&dia, 1), | |
| 7788 | 1924 nr, tmp_data, nr, rcon, |
| 5785 | 1925 pz, prz, info |
| 1926 F77_CHAR_ARG_LEN (1) | |
| 1927 F77_CHAR_ARG_LEN (1) | |
| 1928 F77_CHAR_ARG_LEN (1))); | |
| 1929 | |
| 1930 if (info != 0) | |
| 1931 info = -2; | |
| 1932 | |
| 7788 | 1933 volatile double rcond_plus_one = rcon + 1.0; |
| 1934 | |
| 1935 if (rcond_plus_one == 1.0 || xisnan (rcon)) | |
| 5785 | 1936 { |
| 1937 info = -2; | |
| 1938 | |
| 1939 if (sing_handler) | |
| 7788 | 1940 sing_handler (rcon); |
| 5785 | 1941 else |
| 1942 (*current_liboctave_error_handler) | |
| 1943 ("matrix singular to machine precision, rcond = %g", | |
| 7788 | 1944 rcon); |
| 5785 | 1945 } |
| 1946 } | |
| 1947 | |
| 1948 if (info == 0) | |
| 1949 { | |
| 1950 retval = b; | |
| 1951 Complex *result = retval.fortran_vec (); | |
| 1952 | |
| 1953 char uplo = 'U'; | |
| 1954 char trans = 'N'; | |
| 1955 char dia = 'N'; | |
| 1956 | |
| 1957 F77_XFCN (ztrtrs, ZTRTRS, (F77_CONST_CHAR_ARG2 (&uplo, 1), | |
| 1958 F77_CONST_CHAR_ARG2 (&trans, 1), | |
| 1959 F77_CONST_CHAR_ARG2 (&dia, 1), | |
| 1960 nr, b_nc, tmp_data, nr, | |
| 1961 result, nr, info | |
| 1962 F77_CHAR_ARG_LEN (1) | |
| 1963 F77_CHAR_ARG_LEN (1) | |
| 1964 F77_CHAR_ARG_LEN (1))); | |
| 1965 } | |
| 1966 } | |
| 1967 } | |
| 1968 else | |
| 1969 (*current_liboctave_error_handler) ("incorrect matrix type"); | |
| 1970 } | |
| 1971 | |
| 1972 return retval; | |
| 1973 } | |
| 1974 | |
| 1975 ComplexMatrix | |
| 1976 ComplexMatrix::ltsolve (MatrixType &mattype, const ComplexMatrix& b, | |
| 7788 | 1977 octave_idx_type& info, double& rcon, |
| 5785 | 1978 solve_singularity_handler sing_handler, |
| 1979 bool calc_cond) const | |
| 1980 { | |
| 1981 ComplexMatrix retval; | |
| 1982 | |
| 1983 octave_idx_type nr = rows (); | |
| 1984 octave_idx_type nc = cols (); | |
| 1985 | |
| 6924 | 1986 if (nr != b.rows ()) |
| 5785 | 1987 (*current_liboctave_error_handler) |
| 1988 ("matrix dimension mismatch solution of linear equations"); | |
| 6924 | 1989 else if (nr == 0 || nc == 0 || b.cols () == 0) |
| 1990 retval = ComplexMatrix (nc, b.cols (), Complex (0.0, 0.0)); | |
| 5785 | 1991 else |
| 1992 { | |
| 1993 volatile int typ = mattype.type (); | |
| 1994 | |
| 1995 if (typ == MatrixType::Permuted_Lower || | |
| 1996 typ == MatrixType::Lower) | |
| 1997 { | |
| 1998 octave_idx_type b_nc = b.cols (); | |
| 7788 | 1999 rcon = 1.; |
| 5785 | 2000 info = 0; |
| 2001 | |
| 2002 if (typ == MatrixType::Permuted_Lower) | |
| 2003 { | |
| 2004 (*current_liboctave_error_handler) | |
| 6390 | 2005 ("permuted triangular matrix not implemented"); |
| 5785 | 2006 } |
| 2007 else | |
| 2008 { | |
| 2009 const Complex *tmp_data = fortran_vec (); | |
| 2010 | |
| 2011 if (calc_cond) | |
| 2012 { | |
| 2013 char norm = '1'; | |
| 2014 char uplo = 'L'; | |
| 2015 char dia = 'N'; | |
| 2016 | |
| 2017 Array<Complex> z (2 * nc); | |
| 2018 Complex *pz = z.fortran_vec (); | |
| 2019 Array<double> rz (nc); | |
| 2020 double *prz = rz.fortran_vec (); | |
| 2021 | |
| 2022 F77_XFCN (ztrcon, ZTRCON, (F77_CONST_CHAR_ARG2 (&norm, 1), | |
| 2023 F77_CONST_CHAR_ARG2 (&uplo, 1), | |
| 2024 F77_CONST_CHAR_ARG2 (&dia, 1), | |
| 7788 | 2025 nr, tmp_data, nr, rcon, |
| 5785 | 2026 pz, prz, info |
| 2027 F77_CHAR_ARG_LEN (1) | |
| 2028 F77_CHAR_ARG_LEN (1) | |
| 2029 F77_CHAR_ARG_LEN (1))); | |
| 2030 | |
| 2031 if (info != 0) | |
| 2032 info = -2; | |
| 2033 | |
| 7788 | 2034 volatile double rcond_plus_one = rcon + 1.0; |
| 2035 | |
| 2036 if (rcond_plus_one == 1.0 || xisnan (rcon)) | |
| 5785 | 2037 { |
| 2038 info = -2; | |
| 2039 | |
| 2040 if (sing_handler) | |
| 7788 | 2041 sing_handler (rcon); |
| 5785 | 2042 else |
| 2043 (*current_liboctave_error_handler) | |
| 2044 ("matrix singular to machine precision, rcond = %g", | |
| 7788 | 2045 rcon); |
| 5785 | 2046 } |
| 2047 } | |
| 2048 | |
| 2049 if (info == 0) | |
| 2050 { | |
| 2051 retval = b; | |
| 2052 Complex *result = retval.fortran_vec (); | |
| 2053 | |
| 2054 char uplo = 'L'; | |
| 2055 char trans = 'N'; | |
| 2056 char dia = 'N'; | |
| 2057 | |
| 2058 F77_XFCN (ztrtrs, ZTRTRS, (F77_CONST_CHAR_ARG2 (&uplo, 1), | |
| 2059 F77_CONST_CHAR_ARG2 (&trans, 1), | |
| 2060 F77_CONST_CHAR_ARG2 (&dia, 1), | |
| 2061 nr, b_nc, tmp_data, nr, | |
| 2062 result, nr, info | |
| 2063 F77_CHAR_ARG_LEN (1) | |
| 2064 F77_CHAR_ARG_LEN (1) | |
| 2065 F77_CHAR_ARG_LEN (1))); | |
| 2066 } | |
| 2067 } | |
| 2068 } | |
| 2069 else | |
| 2070 (*current_liboctave_error_handler) ("incorrect matrix type"); | |
| 2071 } | |
| 2072 | |
| 2073 return retval; | |
| 2074 } | |
| 2075 | |
| 2076 ComplexMatrix | |
| 2077 ComplexMatrix::fsolve (MatrixType &mattype, const ComplexMatrix& b, | |
| 7788 | 2078 octave_idx_type& info, double& rcon, |
| 5785 | 2079 solve_singularity_handler sing_handler, |
| 2080 bool calc_cond) const | |
| 2081 { | |
| 2082 ComplexMatrix retval; | |
| 2083 | |
| 2084 octave_idx_type nr = rows (); | |
| 2085 octave_idx_type nc = cols (); | |
| 2086 | |
| 6924 | 2087 |
| 2088 if (nr != nc || nr != b.rows ()) | |
| 5785 | 2089 (*current_liboctave_error_handler) |
| 6924 | 2090 ("matrix dimension mismatch solution of linear equations"); |
| 2091 else if (nr == 0 || b.cols () == 0) | |
| 2092 retval = ComplexMatrix (nc, b.cols (), Complex (0.0, 0.0)); | |
| 5785 | 2093 else |
| 2094 { | |
| 2095 volatile int typ = mattype.type (); | |
| 2096 | |
| 2097 // Calculate the norm of the matrix, for later use. | |
| 2098 double anorm = -1.; | |
| 2099 | |
| 2100 if (typ == MatrixType::Hermitian) | |
| 2101 { | |
| 2102 info = 0; | |
| 2103 char job = 'L'; | |
| 2104 ComplexMatrix atmp = *this; | |
| 2105 Complex *tmp_data = atmp.fortran_vec (); | |
| 2106 anorm = atmp.abs().sum().row(static_cast<octave_idx_type>(0)).max(); | |
| 2107 | |
| 2108 F77_XFCN (zpotrf, ZPOTRF, (F77_CONST_CHAR_ARG2 (&job, 1), nr, | |
| 2109 tmp_data, nr, info | |
| 2110 F77_CHAR_ARG_LEN (1))); | |
| 2111 | |
|
7482
29980c6b8604
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John W. Eaton <jwe@octave.org>
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diff
changeset
|
2112 // Throw-away extra info LAPACK gives so as to not change output. |
| 7788 | 2113 rcon = 0.0; |
|
7482
29980c6b8604
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diff
changeset
|
2114 if (info != 0) |
|
29980c6b8604
don't check f77_exception_encountered
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parents:
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diff
changeset
|
2115 { |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
2116 info = -2; |
|
29980c6b8604
don't check f77_exception_encountered
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parents:
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diff
changeset
|
2117 |
|
29980c6b8604
don't check f77_exception_encountered
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diff
changeset
|
2118 mattype.mark_as_unsymmetric (); |
|
29980c6b8604
don't check f77_exception_encountered
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parents:
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diff
changeset
|
2119 typ = MatrixType::Full; |
|
29980c6b8604
don't check f77_exception_encountered
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parents:
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diff
changeset
|
2120 } |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
2121 else |
| 5785 | 2122 { |
|
7482
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2123 if (calc_cond) |
| 5785 | 2124 { |
|
7482
29980c6b8604
don't check f77_exception_encountered
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parents:
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diff
changeset
|
2125 Array<Complex> z (2 * nc); |
|
29980c6b8604
don't check f77_exception_encountered
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parents:
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diff
changeset
|
2126 Complex *pz = z.fortran_vec (); |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
2127 Array<double> rz (nc); |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2128 double *prz = rz.fortran_vec (); |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2129 |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2130 F77_XFCN (zpocon, ZPOCON, (F77_CONST_CHAR_ARG2 (&job, 1), |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2131 nr, tmp_data, nr, anorm, |
| 7788 | 2132 rcon, pz, prz, info |
|
7482
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2133 F77_CHAR_ARG_LEN (1))); |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2134 |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
2135 if (info != 0) |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2136 info = -2; |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2137 |
| 7788 | 2138 volatile double rcond_plus_one = rcon + 1.0; |
| 2139 | |
| 2140 if (rcond_plus_one == 1.0 || xisnan (rcon)) | |
|
7482
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2141 { |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2142 info = -2; |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2143 |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2144 if (sing_handler) |
| 7788 | 2145 sing_handler (rcon); |
|
7482
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2146 else |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2147 (*current_liboctave_error_handler) |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2148 ("matrix singular to machine precision, rcond = %g", |
| 7788 | 2149 rcon); |
|
7482
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2150 } |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2151 } |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2152 |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2153 if (info == 0) |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2154 { |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2155 retval = b; |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2156 Complex *result = retval.fortran_vec (); |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2157 |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2158 octave_idx_type b_nc = b.cols (); |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2159 |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2160 F77_XFCN (zpotrs, ZPOTRS, (F77_CONST_CHAR_ARG2 (&job, 1), |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2161 nr, b_nc, tmp_data, nr, |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2162 result, b.rows(), info |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2163 F77_CHAR_ARG_LEN (1))); |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2164 } |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2165 else |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2166 { |
| 5785 | 2167 mattype.mark_as_unsymmetric (); |
| 2168 typ = MatrixType::Full; | |
| 2169 } | |
| 2170 } | |
| 2171 } | |
| 2172 | |
| 2173 if (typ == MatrixType::Full) | |
| 2174 { | |
| 2175 info = 0; | |
| 2176 | |
| 2177 Array<octave_idx_type> ipvt (nr); | |
| 2178 octave_idx_type *pipvt = ipvt.fortran_vec (); | |
| 2179 | |
| 2180 ComplexMatrix atmp = *this; | |
| 2181 Complex *tmp_data = atmp.fortran_vec (); | |
| 2182 | |
| 2183 Array<Complex> z (2 * nc); | |
| 2184 Complex *pz = z.fortran_vec (); | |
| 2185 Array<double> rz (2 * nc); | |
| 2186 double *prz = rz.fortran_vec (); | |
| 2187 | |
| 2188 // Calculate the norm of the matrix, for later use. | |
| 2189 if (anorm < 0.) | |
| 2190 anorm = atmp.abs().sum().row(static_cast<octave_idx_type>(0)).max(); | |
| 2191 | |
| 2192 F77_XFCN (zgetrf, ZGETRF, (nr, nr, tmp_data, nr, pipvt, info)); | |
| 2193 | |
|
7482
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2194 // Throw-away extra info LAPACK gives so as to not change output. |
| 7788 | 2195 rcon = 0.0; |
|
7482
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2196 if (info != 0) |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2197 { |
|
29980c6b8604
don't check f77_exception_encountered
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parents:
7478
diff
changeset
|
2198 info = -2; |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2199 |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2200 if (sing_handler) |
| 7788 | 2201 sing_handler (rcon); |
|
7482
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2202 else |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2203 (*current_liboctave_error_handler) |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2204 ("matrix singular to machine precision"); |
|
29980c6b8604
don't check f77_exception_encountered
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parents:
7478
diff
changeset
|
2205 |
|
29980c6b8604
don't check f77_exception_encountered
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parents:
7478
diff
changeset
|
2206 mattype.mark_as_rectangular (); |
|
29980c6b8604
don't check f77_exception_encountered
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parents:
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diff
changeset
|
2207 } |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2208 else |
| 5785 | 2209 { |
|
7482
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2210 if (calc_cond) |
| 5785 | 2211 { |
|
7482
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2212 // Now calculate the condition number for |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2213 // non-singular matrix. |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2214 char job = '1'; |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2215 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
|
2216 nc, tmp_data, nr, anorm, |
| 7788 | 2217 rcon, pz, prz, info |
|
7482
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2218 F77_CHAR_ARG_LEN (1))); |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2219 |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2220 if (info != 0) |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2221 info = -2; |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2222 |
| 7788 | 2223 volatile double rcond_plus_one = rcon + 1.0; |
| 2224 | |
| 2225 if (rcond_plus_one == 1.0 || xisnan (rcon)) | |
| 5785 | 2226 { |
|
7482
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2227 info = -2; |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2228 |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2229 if (sing_handler) |
| 7788 | 2230 sing_handler (rcon); |
|
7482
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2231 else |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2232 (*current_liboctave_error_handler) |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2233 ("matrix singular to machine precision, rcond = %g", |
| 7788 | 2234 rcon); |
| 5785 | 2235 } |
| 2236 } | |
|
7482
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2237 |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2238 if (info == 0) |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2239 { |
|
29980c6b8604
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|
2240 retval = b; |
|
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|
2241 Complex *result = retval.fortran_vec (); |
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|
2242 |
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|
2243 octave_idx_type b_nc = b.cols (); |
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changeset
|
2244 |
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|
2245 char job = 'N'; |
|
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|
2246 F77_XFCN (zgetrs, ZGETRS, (F77_CONST_CHAR_ARG2 (&job, 1), |
|
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changeset
|
2247 nr, b_nc, tmp_data, nr, |
|
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changeset
|
2248 pipvt, result, b.rows(), info |
|
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changeset
|
2249 F77_CHAR_ARG_LEN (1))); |
|
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|
2250 } |
|
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|
2251 else |
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|
2252 mattype.mark_as_rectangular (); |
| 5785 | 2253 } |
| 2254 } | |
| 2255 } | |
| 2256 | |
| 2257 return retval; | |
| 2258 } | |
| 2259 | |
| 2260 ComplexMatrix | |
| 2261 ComplexMatrix::solve (MatrixType &typ, const Matrix& b) const | |
| 2262 { | |
| 2263 octave_idx_type info; | |
| 7788 | 2264 double rcon; |
| 2265 return solve (typ, b, info, rcon, 0); | |
| 5785 | 2266 } |
| 2267 | |
| 2268 ComplexMatrix | |
| 2269 ComplexMatrix::solve (MatrixType &typ, const Matrix& b, | |
| 2270 octave_idx_type& info) const | |
| 2271 { | |
| 7788 | 2272 double rcon; |
| 2273 return solve (typ, b, info, rcon, 0); | |
| 5785 | 2274 } |
| 2275 | |
| 2276 ComplexMatrix | |
| 2277 ComplexMatrix::solve (MatrixType &typ, const Matrix& b, octave_idx_type& info, | |
| 7788 | 2278 double& rcon) const |
| 5785 | 2279 { |
| 7788 | 2280 return solve (typ, b, info, rcon, 0); |
| 5785 | 2281 } |
| 2282 | |
| 2283 ComplexMatrix | |
| 2284 ComplexMatrix::solve (MatrixType &typ, const Matrix& b, octave_idx_type& info, | |
| 7788 | 2285 double& rcon, solve_singularity_handler sing_handler, |
| 5785 | 2286 bool singular_fallback) const |
| 2287 { | |
| 2288 ComplexMatrix tmp (b); | |
| 7788 | 2289 return solve (typ, tmp, info, rcon, sing_handler, singular_fallback); |
| 5785 | 2290 } |
| 2291 | |
| 2292 ComplexMatrix | |
| 2293 ComplexMatrix::solve (MatrixType &typ, const ComplexMatrix& b) const | |
| 2294 { | |
| 2295 octave_idx_type info; | |
| 7788 | 2296 double rcon; |
| 2297 return solve (typ, b, info, rcon, 0); | |
| 5785 | 2298 } |
| 2299 | |
| 2300 ComplexMatrix | |
| 2301 ComplexMatrix::solve (MatrixType &typ, const ComplexMatrix& b, | |
| 2302 octave_idx_type& info) const | |
| 2303 { | |
| 7788 | 2304 double rcon; |
| 2305 return solve (typ, b, info, rcon, 0); | |
| 5785 | 2306 } |
| 2307 | |
| 2308 ComplexMatrix | |
| 2309 ComplexMatrix::solve (MatrixType &typ, const ComplexMatrix& b, | |
| 7788 | 2310 octave_idx_type& info, double& rcon) const |
| 5785 | 2311 { |
| 7788 | 2312 return solve (typ, b, info, rcon, 0); |
| 5785 | 2313 } |
| 2314 | |
| 2315 ComplexMatrix | |
| 2316 ComplexMatrix::solve (MatrixType &mattype, const ComplexMatrix& b, | |
| 7788 | 2317 octave_idx_type& info, double& rcon, |
| 5785 | 2318 solve_singularity_handler sing_handler, |
| 2319 bool singular_fallback) const | |
| 2320 { | |
| 2321 ComplexMatrix retval; | |
| 2322 int typ = mattype.type (); | |
| 2323 | |
| 2324 if (typ == MatrixType::Unknown) | |
| 2325 typ = mattype.type (*this); | |
| 2326 | |
| 2327 // Only calculate the condition number for LU/Cholesky | |
| 2328 if (typ == MatrixType::Upper || typ == MatrixType::Permuted_Upper) | |
| 7788 | 2329 retval = utsolve (mattype, b, info, rcon, sing_handler, false); |
| 5785 | 2330 else if (typ == MatrixType::Lower || typ == MatrixType::Permuted_Lower) |
| 7788 | 2331 retval = ltsolve (mattype, b, info, rcon, sing_handler, false); |
| 5785 | 2332 else if (typ == MatrixType::Full || typ == MatrixType::Hermitian) |
| 7788 | 2333 retval = fsolve (mattype, b, info, rcon, sing_handler, true); |
| 5785 | 2334 else if (typ != MatrixType::Rectangular) |
| 2335 { | |
| 2336 (*current_liboctave_error_handler) ("unknown matrix type"); | |
| 2337 return ComplexMatrix (); | |
| 2338 } | |
| 2339 | |
| 2340 // Rectangular or one of the above solvers flags a singular matrix | |
| 2341 if (singular_fallback && mattype.type () == MatrixType::Rectangular) | |
| 2342 { | |
| 2343 octave_idx_type rank; | |
| 7788 | 2344 retval = lssolve (b, info, rank, rcon); |
| 5785 | 2345 } |
| 2346 | |
| 2347 return retval; | |
| 2348 } | |
| 2349 | |
| 2350 ComplexColumnVector | |
| 2351 ComplexMatrix::solve (MatrixType &typ, const ColumnVector& b) const | |
| 2352 { | |
| 2353 octave_idx_type info; | |
| 7788 | 2354 double rcon; |
| 2355 return solve (typ, ComplexColumnVector (b), info, rcon, 0); | |
| 5785 | 2356 } |
| 2357 | |
| 2358 ComplexColumnVector | |
| 2359 ComplexMatrix::solve (MatrixType &typ, const ColumnVector& b, | |
| 2360 octave_idx_type& info) const | |
| 2361 { | |
| 7788 | 2362 double rcon; |
| 2363 return solve (typ, ComplexColumnVector (b), info, rcon, 0); | |
| 5785 | 2364 } |
| 2365 | |
| 2366 ComplexColumnVector | |
| 2367 ComplexMatrix::solve (MatrixType &typ, const ColumnVector& b, | |
| 7788 | 2368 octave_idx_type& info, double& rcon) const |
| 5785 | 2369 { |
| 7788 | 2370 return solve (typ, ComplexColumnVector (b), info, rcon, 0); |
| 5785 | 2371 } |
| 2372 | |
| 2373 ComplexColumnVector | |
| 2374 ComplexMatrix::solve (MatrixType &typ, const ColumnVector& b, | |
| 7788 | 2375 octave_idx_type& info, double& rcon, |
| 5785 | 2376 solve_singularity_handler sing_handler) const |
| 2377 { | |
| 7788 | 2378 return solve (typ, ComplexColumnVector (b), info, rcon, sing_handler); |
| 5785 | 2379 } |
| 2380 | |
| 2381 ComplexColumnVector | |
| 2382 ComplexMatrix::solve (MatrixType &typ, const ComplexColumnVector& b) const | |
| 2383 { | |
| 2384 octave_idx_type info; | |
| 7788 | 2385 double rcon; |
| 2386 return solve (typ, b, info, rcon, 0); | |
| 5785 | 2387 } |
| 2388 | |
| 2389 ComplexColumnVector | |
| 2390 ComplexMatrix::solve (MatrixType &typ, const ComplexColumnVector& b, | |
| 2391 octave_idx_type& info) const | |
| 2392 { | |
| 7788 | 2393 double rcon; |
| 2394 return solve (typ, b, info, rcon, 0); | |
| 5785 | 2395 } |
| 2396 | |
| 2397 ComplexColumnVector | |
| 2398 ComplexMatrix::solve (MatrixType &typ, const ComplexColumnVector& b, | |
| 7788 | 2399 octave_idx_type& info, double& rcon) const |
| 5785 | 2400 { |
| 7788 | 2401 return solve (typ, b, info, rcon, 0); |
| 5785 | 2402 } |
| 2403 | |
| 2404 ComplexColumnVector | |
| 2405 ComplexMatrix::solve (MatrixType &typ, const ComplexColumnVector& b, | |
| 7788 | 2406 octave_idx_type& info, double& rcon, |
| 5785 | 2407 solve_singularity_handler sing_handler) const |
| 2408 { | |
| 2409 | |
| 2410 ComplexMatrix tmp (b); | |
| 7788 | 2411 return solve (typ, tmp, info, rcon, sing_handler).column(static_cast<octave_idx_type> (0)); |
| 5785 | 2412 } |
| 2413 | |
| 2414 ComplexMatrix | |
| 458 | 2415 ComplexMatrix::solve (const Matrix& b) const |
| 2416 { | |
| 5275 | 2417 octave_idx_type info; |
| 7788 | 2418 double rcon; |
| 2419 return solve (b, info, rcon, 0); | |
| 458 | 2420 } |
| 2421 | |
| 2422 ComplexMatrix | |
| 5275 | 2423 ComplexMatrix::solve (const Matrix& b, octave_idx_type& info) const |
| 458 | 2424 { |
| 7788 | 2425 double rcon; |
| 2426 return solve (b, info, rcon, 0); | |
| 458 | 2427 } |
| 2428 | |
| 2429 ComplexMatrix | |
| 7788 | 2430 ComplexMatrix::solve (const Matrix& b, octave_idx_type& info, double& rcon) const |
| 458 | 2431 { |
| 7788 | 2432 return solve (b, info, rcon, 0); |
| 3480 | 2433 } |
| 2434 | |
| 2435 ComplexMatrix | |
| 7788 | 2436 ComplexMatrix::solve (const Matrix& b, octave_idx_type& info, double& rcon, |
| 3480 | 2437 solve_singularity_handler sing_handler) const |
| 2438 { | |
| 458 | 2439 ComplexMatrix tmp (b); |
| 7788 | 2440 return solve (tmp, info, rcon, sing_handler); |
| 458 | 2441 } |
| 2442 | |
| 2443 ComplexMatrix | |
| 2444 ComplexMatrix::solve (const ComplexMatrix& b) const | |
| 2445 { | |
| 5275 | 2446 octave_idx_type info; |
| 7788 | 2447 double rcon; |
| 2448 return solve (b, info, rcon, 0); | |
| 458 | 2449 } |
| 2450 | |
| 2451 ComplexMatrix | |
| 5275 | 2452 ComplexMatrix::solve (const ComplexMatrix& b, octave_idx_type& info) const |
| 458 | 2453 { |
| 7788 | 2454 double rcon; |
| 2455 return solve (b, info, rcon, 0); | |
| 458 | 2456 } |
| 3480 | 2457 |
| 458 | 2458 ComplexMatrix |
| 7788 | 2459 ComplexMatrix::solve (const ComplexMatrix& b, octave_idx_type& info, double& rcon) const |
| 458 | 2460 { |
| 7788 | 2461 return solve (b, info, rcon, 0); |
| 3480 | 2462 } |
| 2463 | |
| 2464 ComplexMatrix | |
| 7788 | 2465 ComplexMatrix::solve (const ComplexMatrix& b, octave_idx_type& info, double& rcon, |
| 3480 | 2466 solve_singularity_handler sing_handler) const |
| 2467 { | |
| 5785 | 2468 MatrixType mattype (*this); |
| 7788 | 2469 return solve (mattype, b, info, rcon, sing_handler); |
| 458 | 2470 } |
| 2471 | |
| 2472 ComplexColumnVector | |
| 3585 | 2473 ComplexMatrix::solve (const ColumnVector& b) const |
| 2474 { | |
| 5275 | 2475 octave_idx_type info; |
| 7788 | 2476 double rcon; |
| 2477 return solve (ComplexColumnVector (b), info, rcon, 0); | |
| 3585 | 2478 } |
| 2479 | |
| 2480 ComplexColumnVector | |
| 5275 | 2481 ComplexMatrix::solve (const ColumnVector& b, octave_idx_type& info) const |
| 3585 | 2482 { |
| 7788 | 2483 double rcon; |
| 2484 return solve (ComplexColumnVector (b), info, rcon, 0); | |
| 3585 | 2485 } |
| 2486 | |
| 2487 ComplexColumnVector | |
| 5785 | 2488 ComplexMatrix::solve (const ColumnVector& b, octave_idx_type& info, |
| 7788 | 2489 double& rcon) const |
| 3585 | 2490 { |
| 7788 | 2491 return solve (ComplexColumnVector (b), info, rcon, 0); |
| 3585 | 2492 } |
| 2493 | |
| 2494 ComplexColumnVector | |
| 5785 | 2495 ComplexMatrix::solve (const ColumnVector& b, octave_idx_type& info, |
| 7788 | 2496 double& rcon, |
| 3585 | 2497 solve_singularity_handler sing_handler) const |
| 2498 { | |
| 7788 | 2499 return solve (ComplexColumnVector (b), info, rcon, sing_handler); |
| 3585 | 2500 } |
| 2501 | |
| 2502 ComplexColumnVector | |
| 458 | 2503 ComplexMatrix::solve (const ComplexColumnVector& b) const |
| 2504 { | |
| 5275 | 2505 octave_idx_type info; |
| 7788 | 2506 double rcon; |
| 2507 return solve (b, info, rcon, 0); | |
| 458 | 2508 } |
| 2509 | |
| 2510 ComplexColumnVector | |
| 5275 | 2511 ComplexMatrix::solve (const ComplexColumnVector& b, octave_idx_type& info) const |
| 458 | 2512 { |
| 7788 | 2513 double rcon; |
| 2514 return solve (b, info, rcon, 0); | |
| 458 | 2515 } |
| 2516 | |
| 2517 ComplexColumnVector | |
| 5275 | 2518 ComplexMatrix::solve (const ComplexColumnVector& b, octave_idx_type& info, |
| 7788 | 2519 double& rcon) const |
| 458 | 2520 { |
| 7788 | 2521 return solve (b, info, rcon, 0); |
| 3480 | 2522 } |
| 2523 | |
| 2524 ComplexColumnVector | |
| 5275 | 2525 ComplexMatrix::solve (const ComplexColumnVector& b, octave_idx_type& info, |
| 7788 | 2526 double& rcon, |
| 3480 | 2527 solve_singularity_handler sing_handler) const |
| 2528 { | |
| 5785 | 2529 MatrixType mattype (*this); |
| 7788 | 2530 return solve (mattype, b, info, rcon, sing_handler); |
| 458 | 2531 } |
| 2532 | |
| 2533 ComplexMatrix | |
| 3585 | 2534 ComplexMatrix::lssolve (const Matrix& b) const |
| 2535 { | |
| 5275 | 2536 octave_idx_type info; |
| 2537 octave_idx_type rank; | |
| 7788 | 2538 double rcon; |
| 2539 return lssolve (ComplexMatrix (b), info, rank, rcon); | |
| 3585 | 2540 } |
| 2541 | |
| 2542 ComplexMatrix | |
| 5275 | 2543 ComplexMatrix::lssolve (const Matrix& b, octave_idx_type& info) const |
| 3585 | 2544 { |
| 5275 | 2545 octave_idx_type rank; |
| 7788 | 2546 double rcon; |
| 2547 return lssolve (ComplexMatrix (b), info, rank, rcon); | |
| 3585 | 2548 } |
| 2549 | |
| 2550 ComplexMatrix | |
| 7076 | 2551 ComplexMatrix::lssolve (const Matrix& b, octave_idx_type& info, |
| 2552 octave_idx_type& rank) const | |
| 3585 | 2553 { |
| 7788 | 2554 double rcon; |
| 2555 return lssolve (ComplexMatrix (b), info, rank, rcon); | |
| 7076 | 2556 } |
| 2557 | |
| 2558 ComplexMatrix | |
| 2559 ComplexMatrix::lssolve (const Matrix& b, octave_idx_type& info, | |
| 7788 | 2560 octave_idx_type& rank, double& rcon) const |
| 7076 | 2561 { |
| 7788 | 2562 return lssolve (ComplexMatrix (b), info, rank, rcon); |
| 3585 | 2563 } |
| 2564 | |
| 2565 ComplexMatrix | |
| 458 | 2566 ComplexMatrix::lssolve (const ComplexMatrix& b) const |
| 2567 { | |
| 5275 | 2568 octave_idx_type info; |
| 2569 octave_idx_type rank; | |
| 7788 | 2570 double rcon; |
| 2571 return lssolve (b, info, rank, rcon); | |
| 458 | 2572 } |
| 2573 | |
| 2574 ComplexMatrix | |
| 5275 | 2575 ComplexMatrix::lssolve (const ComplexMatrix& b, octave_idx_type& info) const |
| 458 | 2576 { |
| 5275 | 2577 octave_idx_type rank; |
| 7788 | 2578 double rcon; |
| 2579 return lssolve (b, info, rank, rcon); | |
| 458 | 2580 } |
| 2581 | |
| 2582 ComplexMatrix | |
| 7076 | 2583 ComplexMatrix::lssolve (const ComplexMatrix& b, octave_idx_type& info, |
| 2584 octave_idx_type& rank) const | |
| 2585 { | |
| 7788 | 2586 double rcon; |
| 2587 return lssolve (b, info, rank, rcon); | |
| 7076 | 2588 } |
| 2589 | |
| 2590 ComplexMatrix | |
| 2591 ComplexMatrix::lssolve (const ComplexMatrix& b, octave_idx_type& info, | |
| 7788 | 2592 octave_idx_type& rank, double& rcon) const |
| 458 | 2593 { |
| 1948 | 2594 ComplexMatrix retval; |
| 2595 | |
| 5275 | 2596 octave_idx_type nrhs = b.cols (); |
| 2597 | |
| 2598 octave_idx_type m = rows (); | |
| 2599 octave_idx_type n = cols (); | |
| 458 | 2600 |
| 6924 | 2601 if (m != b.rows ()) |
| 1948 | 2602 (*current_liboctave_error_handler) |
| 2603 ("matrix dimension mismatch solution of linear equations"); | |
| 6924 | 2604 else if (m== 0 || n == 0 || b.cols () == 0) |
| 2605 retval = ComplexMatrix (n, b.cols (), Complex (0.0, 0.0)); | |
| 1948 | 2606 else |
| 458 | 2607 { |
| 7072 | 2608 volatile octave_idx_type minmn = (m < n ? m : n); |
| 2609 octave_idx_type maxmn = m > n ? m : n; | |
| 7788 | 2610 rcon = -1.0; |
| 7072 | 2611 |
| 2612 if (m != n) | |
| 2613 { | |
| 2614 retval = ComplexMatrix (maxmn, nrhs); | |
| 2615 | |
| 2616 for (octave_idx_type j = 0; j < nrhs; j++) | |
| 2617 for (octave_idx_type i = 0; i < m; i++) | |
| 2618 retval.elem (i, j) = b.elem (i, j); | |
| 2619 } | |
| 2620 else | |
| 2621 retval = b; | |
| 2622 | |
| 1948 | 2623 ComplexMatrix atmp = *this; |
| 2624 Complex *tmp_data = atmp.fortran_vec (); | |
| 2625 | |
| 7072 | 2626 Complex *pretval = retval.fortran_vec (); |
| 2627 Array<double> s (minmn); | |
| 7071 | 2628 double *ps = s.fortran_vec (); |
| 2563 | 2629 |
| 7072 | 2630 // Ask ZGELSD what the dimension of WORK should be. |
| 5275 | 2631 octave_idx_type lwork = -1; |
| 3752 | 2632 |
| 2633 Array<Complex> work (1); | |
| 7079 | 2634 |
| 7477 | 2635 octave_idx_type smlsiz; |
| 2636 F77_FUNC (xilaenv, XILAENV) (9, F77_CONST_CHAR_ARG2 ("ZGELSD", 6), | |
| 2637 F77_CONST_CHAR_ARG2 (" ", 1), | |
| 7478 | 2638 0, 0, 0, 0, smlsiz |
| 7477 | 2639 F77_CHAR_ARG_LEN (6) |
| 7478 | 2640 F77_CHAR_ARG_LEN (1)); |
| 7079 | 2641 |
|
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2642 octave_idx_type mnthr; |
|
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2643 F77_FUNC (xilaenv, XILAENV) (6, F77_CONST_CHAR_ARG2 ("ZGELSD", 6), |
|
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2644 F77_CONST_CHAR_ARG2 (" ", 1), |
|
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2645 m, n, nrhs, -1, mnthr |
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2646 F77_CHAR_ARG_LEN (6) |
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2647 F77_CHAR_ARG_LEN (1)); |
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2648 |
| 7079 | 2649 // We compute the size of rwork and iwork because ZGELSD in |
| 2650 // older versions of LAPACK does not return them on a query | |
| 2651 // call. | |
| 7124 | 2652 double dminmn = static_cast<double> (minmn); |
| 2653 double dsmlsizp1 = static_cast<double> (smlsiz+1); | |
| 7079 | 2654 #if defined (HAVE_LOG2) |
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2655 double tmp = log2 (dminmn / dsmlsizp1); |
| 7079 | 2656 #else |
|
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|
2657 double tmp = log (dminmn / dsmlsizp1) / log (2.0); |
| 7079 | 2658 #endif |
|
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|
2659 octave_idx_type nlvl = static_cast<octave_idx_type> (tmp) + 1; |
| 7079 | 2660 if (nlvl < 0) |
| 2661 nlvl = 0; | |
| 2662 | |
| 2663 octave_idx_type lrwork = minmn*(10 + 2*smlsiz + 8*nlvl) | |
| 2664 + 3*smlsiz*nrhs + (smlsiz+1)*(smlsiz+1); | |
| 2665 if (lrwork < 1) | |
| 2666 lrwork = 1; | |
| 2667 Array<double> rwork (lrwork); | |
| 2668 double *prwork = rwork.fortran_vec (); | |
| 2669 | |
| 2670 octave_idx_type liwork = 3 * minmn * nlvl + 11 * minmn; | |
| 2671 if (liwork < 1) | |
| 2672 liwork = 1; | |
| 2673 Array<octave_idx_type> iwork (liwork); | |
| 2674 octave_idx_type* piwork = iwork.fortran_vec (); | |
| 7072 | 2675 |
| 2676 F77_XFCN (zgelsd, ZGELSD, (m, n, nrhs, tmp_data, m, pretval, maxmn, | |
| 7788 | 2677 ps, rcon, rank, work.fortran_vec (), |
| 7079 | 2678 lwork, prwork, piwork, info)); |
| 1948 | 2679 |
| 7476 | 2680 // The workspace query is broken in at least LAPACK 3.0.0 |
|
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2681 // through 3.1.1 when n >= mnthr. The obtuse formula below |
|
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2682 // should provide sufficient workspace for ZGELSD to operate |
| 7476 | 2683 // efficiently. |
|
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|
2684 if (n >= mnthr) |
| 7476 | 2685 { |
| 2686 octave_idx_type addend = m; | |
| 2687 | |
| 2688 if (2*m-4 > addend) | |
| 2689 addend = 2*m-4; | |
| 2690 | |
| 2691 if (nrhs > addend) | |
| 2692 addend = nrhs; | |
| 2693 | |
| 2694 if (n-3*m > addend) | |
| 2695 addend = n-3*m; | |
| 2696 | |
| 2697 const octave_idx_type lworkaround = 4*m + m*m + addend; | |
| 2698 | |
| 2699 if (std::real (work(0)) < lworkaround) | |
| 2700 work(0) = lworkaround; | |
| 2701 } | |
|
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|
2702 else if (m >= n) |
|
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|
2703 { |
|
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|
2704 octave_idx_type lworkaround = 2*m + m*nrhs; |
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|
2705 |
|
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|
2706 if (std::real (work(0)) < lworkaround) |
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|
2707 work(0) = lworkaround; |
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|
2708 } |
| 7476 | 2709 |
|
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2710 lwork = static_cast<octave_idx_type> (std::real (work(0))); |
|
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2711 work.resize (lwork); |
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|
2712 |
|
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|
2713 F77_XFCN (zgelsd, ZGELSD, (m, n, nrhs, tmp_data, m, pretval, |
| 7788 | 2714 maxmn, ps, rcon, rank, |
|
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|
2715 work.fortran_vec (), lwork, |
|
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|
2716 prwork, piwork, info)); |
|
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|
2717 |
|
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|
2718 if (rank < minmn) |
|
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|
2719 (*current_liboctave_warning_handler) |
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|
2720 ("zgelsd: rank deficient %dx%d matrix, rank = %d, tol = %e", |
| 7788 | 2721 m, n, rank, rcon); |
|
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|
2722 |
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|
2723 if (s.elem (0) == 0.0) |
| 7788 | 2724 rcon = 0.0; |
| 1948 | 2725 else |
| 7788 | 2726 rcon = s.elem (minmn - 1) / s.elem (0); |
|
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|
2727 |
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|
2728 retval.resize (n, nrhs); |
| 458 | 2729 } |
| 2730 | |
| 2731 return retval; | |
| 2732 } | |
| 2733 | |
| 2734 ComplexColumnVector | |
| 3585 | 2735 ComplexMatrix::lssolve (const ColumnVector& b) const |
| 2736 { | |
| 5275 | 2737 octave_idx_type info; |
| 2738 octave_idx_type rank; | |
| 7788 | 2739 double rcon; |
| 2740 return lssolve (ComplexColumnVector (b), info, rank, rcon); | |
| 3585 | 2741 } |
| 2742 | |
| 2743 ComplexColumnVector | |
| 5275 | 2744 ComplexMatrix::lssolve (const ColumnVector& b, octave_idx_type& info) const |
| 3585 | 2745 { |
| 5275 | 2746 octave_idx_type rank; |
| 7788 | 2747 double rcon; |
| 2748 return lssolve (ComplexColumnVector (b), info, rank, rcon); | |
| 3585 | 2749 } |
| 2750 | |
| 2751 ComplexColumnVector | |
| 7076 | 2752 ComplexMatrix::lssolve (const ColumnVector& b, octave_idx_type& info, |
| 2753 octave_idx_type& rank) const | |
| 3585 | 2754 { |
| 7788 | 2755 double rcon; |
| 2756 return lssolve (ComplexColumnVector (b), info, rank, rcon); | |
| 7076 | 2757 } |
| 2758 | |
| 2759 ComplexColumnVector | |
| 2760 ComplexMatrix::lssolve (const ColumnVector& b, octave_idx_type& info, | |
| 7788 | 2761 octave_idx_type& rank, double& rcon) const |
| 7076 | 2762 { |
| 7788 | 2763 return lssolve (ComplexColumnVector (b), info, rank, rcon); |
| 3585 | 2764 } |
| 2765 | |
| 2766 ComplexColumnVector | |
| 458 | 2767 ComplexMatrix::lssolve (const ComplexColumnVector& b) const |
| 2768 { | |
| 5275 | 2769 octave_idx_type info; |
| 2770 octave_idx_type rank; | |
| 7788 | 2771 double rcon; |
| 2772 return lssolve (b, info, rank, rcon); | |
| 458 | 2773 } |
| 2774 | |
| 2775 ComplexColumnVector | |
| 5275 | 2776 ComplexMatrix::lssolve (const ComplexColumnVector& b, octave_idx_type& info) const |
| 458 | 2777 { |
| 5275 | 2778 octave_idx_type rank; |
| 7788 | 2779 double rcon; |
| 2780 return lssolve (b, info, rank, rcon); | |
| 458 | 2781 } |
| 2782 | |
| 2783 ComplexColumnVector | |
| 5275 | 2784 ComplexMatrix::lssolve (const ComplexColumnVector& b, octave_idx_type& info, |
| 2785 octave_idx_type& rank) const | |
| 458 | 2786 { |
| 7788 | 2787 double rcon; |
| 2788 return lssolve (b, info, rank, rcon); | |
| 7076 | 2789 |
| 2790 } | |
| 2791 | |
| 2792 ComplexColumnVector | |
| 2793 ComplexMatrix::lssolve (const ComplexColumnVector& b, octave_idx_type& info, | |
| 7788 | 2794 octave_idx_type& rank, double& rcon) const |
| 7076 | 2795 { |
| 1948 | 2796 ComplexColumnVector retval; |
| 2797 | |
| 5275 | 2798 octave_idx_type nrhs = 1; |
| 2799 | |
| 2800 octave_idx_type m = rows (); | |
| 2801 octave_idx_type n = cols (); | |
| 458 | 2802 |
| 6924 | 2803 if (m != b.length ()) |
| 1948 | 2804 (*current_liboctave_error_handler) |
| 6924 | 2805 ("matrix dimension mismatch solution of linear equations"); |
| 2806 else if (m == 0 || n == 0 || b.cols () == 0) | |
| 2807 retval = ComplexColumnVector (n, Complex (0.0, 0.0)); | |
| 1948 | 2808 else |
| 458 | 2809 { |
| 7072 | 2810 volatile octave_idx_type minmn = (m < n ? m : n); |
| 2811 octave_idx_type maxmn = m > n ? m : n; | |
| 7788 | 2812 rcon = -1.0; |
| 7072 | 2813 |
| 2814 if (m != n) | |
| 2815 { | |
| 2816 retval = ComplexColumnVector (maxmn); | |
| 2817 | |
| 2818 for (octave_idx_type i = 0; i < m; i++) | |
| 2819 retval.elem (i) = b.elem (i); | |
| 2820 } | |
| 2821 else | |
| 2822 retval = b; | |
| 2823 | |
| 1948 | 2824 ComplexMatrix atmp = *this; |
| 2825 Complex *tmp_data = atmp.fortran_vec (); | |
| 2826 | |
| 7072 | 2827 Complex *pretval = retval.fortran_vec (); |
| 2828 Array<double> s (minmn); | |
| 7071 | 2829 double *ps = s.fortran_vec (); |
| 1948 | 2830 |
| 7072 | 2831 // Ask ZGELSD what the dimension of WORK should be. |
| 5275 | 2832 octave_idx_type lwork = -1; |
| 3752 | 2833 |
| 2834 Array<Complex> work (1); | |
| 7079 | 2835 |
|
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2836 octave_idx_type smlsiz; |
|
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2837 F77_FUNC (xilaenv, XILAENV) (9, F77_CONST_CHAR_ARG2 ("ZGELSD", 6), |
|
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|
2838 F77_CONST_CHAR_ARG2 (" ", 1), |
|
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|
2839 0, 0, 0, 0, smlsiz |
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|
2840 F77_CHAR_ARG_LEN (6) |
|
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|
2841 F77_CHAR_ARG_LEN (1)); |
| 7079 | 2842 |
| 2843 // We compute the size of rwork and iwork because ZGELSD in | |
| 2844 // older versions of LAPACK does not return them on a query | |
| 2845 // call. | |
| 7124 | 2846 double dminmn = static_cast<double> (minmn); |
| 2847 double dsmlsizp1 = static_cast<double> (smlsiz+1); | |
| 7079 | 2848 #if defined (HAVE_LOG2) |
|
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|
2849 double tmp = log2 (dminmn / dsmlsizp1); |
| 7079 | 2850 #else |
|
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|
2851 double tmp = log (dminmn / dsmlsizp1) / log (2.0); |
| 7079 | 2852 #endif |
|
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|
2853 octave_idx_type nlvl = static_cast<octave_idx_type> (tmp) + 1; |
| 7079 | 2854 if (nlvl < 0) |
| 2855 nlvl = 0; | |
| 2856 | |
| 2857 octave_idx_type lrwork = minmn*(10 + 2*smlsiz + 8*nlvl) | |
| 2858 + 3*smlsiz*nrhs + (smlsiz+1)*(smlsiz+1); | |
| 2859 if (lrwork < 1) | |
| 2860 lrwork = 1; | |
| 2861 Array<double> rwork (lrwork); | |
| 2862 double *prwork = rwork.fortran_vec (); | |
| 2863 | |
| 2864 octave_idx_type liwork = 3 * minmn * nlvl + 11 * minmn; | |
| 2865 if (liwork < 1) | |
| 2866 liwork = 1; | |
| 2867 Array<octave_idx_type> iwork (liwork); | |
| 2868 octave_idx_type* piwork = iwork.fortran_vec (); | |
| 7072 | 2869 |
| 2870 F77_XFCN (zgelsd, ZGELSD, (m, n, nrhs, tmp_data, m, pretval, maxmn, | |
| 7788 | 2871 ps, rcon, rank, work.fortran_vec (), |
| 7079 | 2872 lwork, prwork, piwork, info)); |
| 1948 | 2873 |
|
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|
2874 lwork = static_cast<octave_idx_type> (std::real (work(0))); |
|
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|
2875 work.resize (lwork); |
|
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|
2876 rwork.resize (static_cast<octave_idx_type> (rwork(0))); |
|
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|
2877 iwork.resize (iwork(0)); |
|
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changeset
|
2878 |
|
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changeset
|
2879 F77_XFCN (zgelsd, ZGELSD, (m, n, nrhs, tmp_data, m, pretval, |
| 7788 | 2880 maxmn, ps, rcon, rank, |
|
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|
2881 work.fortran_vec (), lwork, |
|
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|
2882 prwork, piwork, info)); |
|
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changeset
|
2883 |
|
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|
2884 if (rank < minmn) |
| 1948 | 2885 { |
|
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|
2886 if (rank < minmn) |
|
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|
2887 (*current_liboctave_warning_handler) |
|
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changeset
|
2888 ("zgelsd: rank deficient %dx%d matrix, rank = %d, tol = %e", |
| 7788 | 2889 m, n, rank, rcon); |
|
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|
2890 |
|
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changeset
|
2891 if (s.elem (0) == 0.0) |
| 7788 | 2892 rcon = 0.0; |
|
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|
2893 else |
| 7788 | 2894 rcon = s.elem (minmn - 1) / s.elem (0); |
|
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|
2895 |
|
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|
2896 retval.resize (n, nrhs); |
| 1948 | 2897 } |
| 458 | 2898 } |
| 2899 | |
| 2900 return retval; | |
| 2901 } | |
| 2902 | |
| 1819 | 2903 // Constants for matrix exponential calculation. |
| 2904 | |
| 2905 static double padec [] = | |
| 2906 { | |
| 2907 5.0000000000000000e-1, | |
| 2908 1.1666666666666667e-1, | |
| 2909 1.6666666666666667e-2, | |
| 2910 1.6025641025641026e-3, | |
| 2911 1.0683760683760684e-4, | |
| 2912 4.8562548562548563e-6, | |
| 2913 1.3875013875013875e-7, | |
| 2914 1.9270852604185938e-9, | |
| 2915 }; | |
| 2916 | |
| 7400 | 2917 static void |
| 7788 | 2918 solve_singularity_warning (double rcon) |
| 7400 | 2919 { |
| 2920 (*current_liboctave_warning_handler) | |
| 2921 ("singular matrix encountered in expm calculation, rcond = %g", | |
| 7788 | 2922 rcon); |
| 7400 | 2923 } |
| 2924 | |
| 1819 | 2925 ComplexMatrix |
| 2926 ComplexMatrix::expm (void) const | |
| 2927 { | |
| 2928 ComplexMatrix retval; | |
| 2929 | |
| 2930 ComplexMatrix m = *this; | |
| 2931 | |
| 5275 | 2932 octave_idx_type nc = columns (); |
| 1819 | 2933 |
| 3130 | 2934 // Preconditioning step 1: trace normalization to reduce dynamic |
| 2935 // range of poles, but avoid making stable eigenvalues unstable. | |
| 2936 | |
| 1819 | 2937 // trace shift value |
| 2938 Complex trshift = 0.0; | |
| 2939 | |
| 5275 | 2940 for (octave_idx_type i = 0; i < nc; i++) |
| 1819 | 2941 trshift += m.elem (i, i); |
| 2942 | |
| 2943 trshift /= nc; | |
| 2944 | |
| 3130 | 2945 if (trshift.real () < 0.0) |
| 6958 | 2946 { |
| 2947 trshift = trshift.imag (); | |
| 2948 if (trshift.real () > 709.0) | |
| 2949 trshift = 709.0; | |
| 2950 } | |
| 3130 | 2951 |
| 5275 | 2952 for (octave_idx_type i = 0; i < nc; i++) |
| 1819 | 2953 m.elem (i, i) -= trshift; |
| 2954 | |
| 2955 // Preconditioning step 2: eigenvalue balancing. | |
| 3331 | 2956 // code follows development in AEPBAL |
| 2957 | |
| 2958 Complex *mp = m.fortran_vec (); | |
| 3467 | 2959 |
| 5275 | 2960 octave_idx_type info, ilo, ihi,ilos,ihis; |
| 3468 | 2961 Array<double> dpermute (nc); |
| 2962 Array<double> dscale (nc); | |
| 2963 | |
| 5775 | 2964 // FIXME -- should pass job as a parameter in expm |
| 3468 | 2965 |
| 2966 // Permute first | |
| 2967 char job = 'P'; | |
| 4552 | 2968 F77_XFCN (zgebal, ZGEBAL, (F77_CONST_CHAR_ARG2 (&job, 1), |
| 2969 nc, mp, nc, ilo, ihi, | |
| 2970 dpermute.fortran_vec (), info | |
| 2971 F77_CHAR_ARG_LEN (1))); | |
| 3331 | 2972 |
| 3468 | 2973 // then scale |
| 2974 job = 'S'; | |
| 4552 | 2975 F77_XFCN (zgebal, ZGEBAL, (F77_CONST_CHAR_ARG2 (&job, 1), |
| 2976 nc, mp, nc, ilos, ihis, | |
| 2977 dscale.fortran_vec (), info | |
| 2978 F77_CHAR_ARG_LEN (1))); | |
| 3331 | 2979 |
| 1819 | 2980 // Preconditioning step 3: scaling. |
| 2981 | |
| 2982 ColumnVector work (nc); | |
| 3130 | 2983 double inf_norm; |
| 2984 | |
| 4552 | 2985 F77_XFCN (xzlange, XZLANGE, (F77_CONST_CHAR_ARG2 ("I", 1), |
| 2986 nc, nc, m.fortran_vec (), nc, | |
| 2987 work.fortran_vec (), inf_norm | |
| 2988 F77_CHAR_ARG_LEN (1))); | |
| 3331 | 2989 |
| 2800 | 2990 int sqpow = (inf_norm > 0.0 |
| 2991 ? static_cast<int> (1.0 + log (inf_norm) / log (2.0)) : 0); | |
| 1819 | 2992 |
| 2993 // Check whether we need to square at all. | |
| 2994 | |
| 2995 if (sqpow < 0) | |
| 2996 sqpow = 0; | |
| 2997 | |
| 2998 if (sqpow > 0) | |
| 2999 { | |
| 7400 | 3000 if (sqpow > 1023) |
| 3001 sqpow = 1023; | |
| 3002 | |
| 1819 | 3003 double scale_factor = 1.0; |
| 5275 | 3004 for (octave_idx_type i = 0; i < sqpow; i++) |
| 1819 | 3005 scale_factor *= 2.0; |
| 3006 | |
| 3007 m = m / scale_factor; | |
| 3008 } | |
| 3009 | |
| 3010 // npp, dpp: pade' approx polynomial matrices. | |
| 3011 | |
| 3012 ComplexMatrix npp (nc, nc, 0.0); | |
| 6958 | 3013 Complex *pnpp = npp.fortran_vec (); |
| 1819 | 3014 ComplexMatrix dpp = npp; |
| 6958 | 3015 Complex *pdpp = dpp.fortran_vec (); |
| 1819 | 3016 |
| 3017 // Now powers a^8 ... a^1. | |
| 3018 | |
| 3019 int minus_one_j = -1; | |
| 5275 | 3020 for (octave_idx_type j = 7; j >= 0; j--) |
| 1819 | 3021 { |
| 6958 | 3022 for (octave_idx_type i = 0; i < nc; i++) |
| 3023 { | |
| 3024 octave_idx_type k = i * nc + i; | |
| 7265 | 3025 pnpp[k] += padec[j]; |
| 3026 pdpp[k] += minus_one_j * padec[j]; | |
| 6958 | 3027 } |
| 7265 | 3028 |
| 6958 | 3029 npp = m * npp; |
| 7265 | 3030 pnpp = npp.fortran_vec (); |
| 3031 | |
| 6958 | 3032 dpp = m * dpp; |
| 7265 | 3033 pdpp = dpp.fortran_vec (); |
| 3034 | |
| 1819 | 3035 minus_one_j *= -1; |
| 3036 } | |
| 3037 | |
| 3038 // Zero power. | |
| 3039 | |
| 3040 dpp = -dpp; | |
| 5275 | 3041 for (octave_idx_type j = 0; j < nc; j++) |
| 1819 | 3042 { |
| 3043 npp.elem (j, j) += 1.0; | |
| 3044 dpp.elem (j, j) += 1.0; | |
| 3045 } | |
| 3046 | |
| 3047 // Compute pade approximation = inverse (dpp) * npp. | |
| 3048 | |
| 7788 | 3049 double rcon; |
| 3050 retval = dpp.solve (npp, info, rcon, solve_singularity_warning); | |
| 7400 | 3051 |
| 3052 if (info < 0) | |
| 3053 return retval; | |
| 3054 | |
| 1819 | 3055 // Reverse preconditioning step 3: repeated squaring. |
| 3056 | |
| 3057 while (sqpow) | |
| 3058 { | |
| 3059 retval = retval * retval; | |
| 3060 sqpow--; | |
| 3061 } | |
| 3062 | |
| 3063 // Reverse preconditioning step 2: inverse balancing. | |
| 3467 | 3064 // Done in two steps: inverse scaling, then inverse permutation |
| 3065 | |
| 3066 // inverse scaling (diagonal transformation) | |
| 5275 | 3067 for (octave_idx_type i = 0; i < nc; i++) |
| 3068 for (octave_idx_type j = 0; j < nc; j++) | |
|
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|
3069 retval(i,j) *= dscale(i) / dscale(j); |
| 3467 | 3070 |
| 4153 | 3071 OCTAVE_QUIT; |
| 3072 | |
| 3467 | 3073 // construct balancing permutation vector |
| 6867 | 3074 Array<octave_idx_type> iperm (nc); |
| 5275 | 3075 for (octave_idx_type i = 0; i < nc; i++) |
|
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diff
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|
3076 iperm(i) = i; // identity permutation |
|
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Jaroslav Hajek <highegg@gmail.com>
parents:
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diff
changeset
|
3077 |
|
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parents:
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diff
changeset
|
3078 // trailing permutations must be done in reverse order |
|
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7922
diff
changeset
|
3079 for (octave_idx_type i = nc - 1; i >= ihi; i--) |
|
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Jaroslav Hajek <highegg@gmail.com>
parents:
7922
diff
changeset
|
3080 { |
|
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improve inverse preconditioning according to Marco Caliari
Jaroslav Hajek <highegg@gmail.com>
parents:
7922
diff
changeset
|
3081 octave_idx_type swapidx = static_cast<octave_idx_type> (dpermute(i)) - 1; |
|
851803f7bb4d
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parents:
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diff
changeset
|
3082 octave_idx_type tmp = iperm(i); |
|
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improve inverse preconditioning according to Marco Caliari
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diff
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|
3083 iperm(i) = iperm(swapidx); |
|
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improve inverse preconditioning according to Marco Caliari
Jaroslav Hajek <highegg@gmail.com>
parents:
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diff
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|
3084 iperm(swapidx) = tmp; |
|
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improve inverse preconditioning according to Marco Caliari
Jaroslav Hajek <highegg@gmail.com>
parents:
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diff
changeset
|
3085 } |
| 3467 | 3086 |
| 3087 // leading permutations in forward order | |
| 5275 | 3088 for (octave_idx_type i = 0; i < (ilo-1); i++) |
| 3468 | 3089 { |
| 6867 | 3090 octave_idx_type swapidx = static_cast<octave_idx_type> (dpermute(i)) - 1; |
| 5275 | 3091 octave_idx_type tmp = iperm(i); |
|
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diff
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|
3092 iperm(i) = iperm (swapidx); |
| 4593 | 3093 iperm(swapidx) = tmp; |
| 3468 | 3094 } |
| 3467 | 3095 |
| 7416 | 3096 // construct inverse balancing permutation vector |
| 3097 Array<octave_idx_type> invpvec (nc); | |
| 3098 for (octave_idx_type i = 0; i < nc; i++) | |
| 3099 invpvec(iperm(i)) = i; // Thanks to R. A. Lippert for this method | |
| 3100 | |
| 3101 OCTAVE_QUIT; | |
| 3102 | |
| 3103 ComplexMatrix tmpMat = retval; | |
| 3104 for (octave_idx_type i = 0; i < nc; i++) | |
| 3105 for (octave_idx_type j = 0; j < nc; j++) | |
| 3106 retval(i,j) = tmpMat(invpvec(i),invpvec(j)); | |
| 3107 | |
|
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|
3108 // Reverse preconditioning step 1: fix trace normalization. |
| 1819 | 3109 |
| 3130 | 3110 return exp (trshift) * retval; |
| 1819 | 3111 } |
| 3112 | |
| 1205 | 3113 // column vector by row vector -> matrix operations |
| 3114 | |
| 3115 ComplexMatrix | |
| 3116 operator * (const ColumnVector& v, const ComplexRowVector& a) | |
| 3117 { | |
| 3118 ComplexColumnVector tmp (v); | |
| 3119 return tmp * a; | |
| 3120 } | |
| 3121 | |
| 3122 ComplexMatrix | |
| 3123 operator * (const ComplexColumnVector& a, const RowVector& b) | |
| 3124 { | |
| 3125 ComplexRowVector tmp (b); | |
| 3126 return a * tmp; | |
| 3127 } | |
| 3128 | |
| 3129 ComplexMatrix | |
| 3130 operator * (const ComplexColumnVector& v, const ComplexRowVector& a) | |
| 3131 { | |
| 1948 | 3132 ComplexMatrix retval; |
| 3133 | |
| 5275 | 3134 octave_idx_type len = v.length (); |
| 3233 | 3135 |
| 3136 if (len != 0) | |
| 1205 | 3137 { |
| 5275 | 3138 octave_idx_type a_len = a.length (); |
| 3233 | 3139 |
| 3140 retval.resize (len, a_len); | |
| 3141 Complex *c = retval.fortran_vec (); | |
| 3142 | |
| 4552 | 3143 F77_XFCN (zgemm, ZGEMM, (F77_CONST_CHAR_ARG2 ("N", 1), |
| 3144 F77_CONST_CHAR_ARG2 ("N", 1), | |
| 3145 len, a_len, 1, 1.0, v.data (), len, | |
| 3146 a.data (), 1, 0.0, c, len | |
| 3147 F77_CHAR_ARG_LEN (1) | |
| 3148 F77_CHAR_ARG_LEN (1))); | |
| 1205 | 3149 } |
| 3150 | |
| 1948 | 3151 return retval; |
| 1205 | 3152 } |
| 3153 | |
| 458 | 3154 // matrix by diagonal matrix -> matrix operations |
| 3155 | |
| 3156 ComplexMatrix& | |
| 3157 ComplexMatrix::operator += (const DiagMatrix& a) | |
| 3158 { | |
| 5275 | 3159 octave_idx_type nr = rows (); |
| 3160 octave_idx_type nc = cols (); | |
| 3161 | |
| 3162 octave_idx_type a_nr = rows (); | |
| 3163 octave_idx_type a_nc = cols (); | |
| 2384 | 3164 |
| 3165 if (nr != a_nr || nc != a_nc) | |
| 458 | 3166 { |
| 2384 | 3167 gripe_nonconformant ("operator +=", nr, nc, a_nr, a_nc); |
| 889 | 3168 return *this; |
| 458 | 3169 } |
| 3170 | |
| 5275 | 3171 for (octave_idx_type i = 0; i < a.length (); i++) |
| 458 | 3172 elem (i, i) += a.elem (i, i); |
| 3173 | |
| 3174 return *this; | |
| 3175 } | |
| 3176 | |
| 3177 ComplexMatrix& | |
| 3178 ComplexMatrix::operator -= (const DiagMatrix& a) | |
| 3179 { | |
| 5275 | 3180 octave_idx_type nr = rows (); |
| 3181 octave_idx_type nc = cols (); | |
| 3182 | |
| 3183 octave_idx_type a_nr = rows (); | |
| 3184 octave_idx_type a_nc = cols (); | |
| 2384 | 3185 |
| 3186 if (nr != a_nr || nc != a_nc) | |
| 458 | 3187 { |
| 2384 | 3188 gripe_nonconformant ("operator -=", nr, nc, a_nr, a_nc); |
| 889 | 3189 return *this; |
| 458 | 3190 } |
| 3191 | |
| 5275 | 3192 for (octave_idx_type i = 0; i < a.length (); i++) |
| 458 | 3193 elem (i, i) -= a.elem (i, i); |
| 3194 | |
| 3195 return *this; | |
| 3196 } | |
| 3197 | |
| 3198 ComplexMatrix& | |
| 3199 ComplexMatrix::operator += (const ComplexDiagMatrix& a) | |
| 3200 { | |
| 5275 | 3201 octave_idx_type nr = rows (); |
| 3202 octave_idx_type nc = cols (); | |
| 3203 | |
| 3204 octave_idx_type a_nr = rows (); | |
| 3205 octave_idx_type a_nc = cols (); | |
| 2384 | 3206 |
| 3207 if (nr != a_nr || nc != a_nc) | |
| 458 | 3208 { |
| 2384 | 3209 gripe_nonconformant ("operator +=", nr, nc, a_nr, a_nc); |
| 889 | 3210 return *this; |
| 458 | 3211 } |
| 3212 | |
| 5275 | 3213 for (octave_idx_type i = 0; i < a.length (); i++) |
| 458 | 3214 elem (i, i) += a.elem (i, i); |
| 3215 | |
| 3216 return *this; | |
| 3217 } | |
| 3218 | |
| 3219 ComplexMatrix& | |
| 3220 ComplexMatrix::operator -= (const ComplexDiagMatrix& a) | |
| 3221 { | |
| 5275 | 3222 octave_idx_type nr = rows (); |
| 3223 octave_idx_type nc = cols (); | |
| 3224 | |
| 3225 octave_idx_type a_nr = rows (); | |
| 3226 octave_idx_type a_nc = cols (); | |
| 2384 | 3227 |
| 3228 if (nr != a_nr || nc != a_nc) | |
| 458 | 3229 { |
| 2384 | 3230 gripe_nonconformant ("operator -=", nr, nc, a_nr, a_nc); |
| 889 | 3231 return *this; |
| 458 | 3232 } |
| 3233 | |
| 5275 | 3234 for (octave_idx_type i = 0; i < a.length (); i++) |
| 458 | 3235 elem (i, i) -= a.elem (i, i); |
| 3236 | |
| 3237 return *this; | |
| 3238 } | |
| 3239 | |
| 3240 // matrix by matrix -> matrix operations | |
| 3241 | |
| 3242 ComplexMatrix& | |
| 3243 ComplexMatrix::operator += (const Matrix& a) | |
| 3244 { | |
| 5275 | 3245 octave_idx_type nr = rows (); |
| 3246 octave_idx_type nc = cols (); | |
| 3247 | |
| 3248 octave_idx_type a_nr = a.rows (); | |
| 3249 octave_idx_type a_nc = a.cols (); | |
| 2384 | 3250 |
| 3251 if (nr != a_nr || nc != a_nc) | |
| 458 | 3252 { |
| 2384 | 3253 gripe_nonconformant ("operator +=", nr, nc, a_nr, a_nc); |
| 458 | 3254 return *this; |
| 3255 } | |
| 3256 | |
| 3257 if (nr == 0 || nc == 0) | |
| 3258 return *this; | |
| 3259 | |
| 3260 Complex *d = fortran_vec (); // Ensures only one reference to my privates! | |
| 3261 | |
| 3769 | 3262 mx_inline_add2 (d, a.data (), length ()); |
| 458 | 3263 return *this; |
| 3264 } | |
| 3265 | |
| 3266 ComplexMatrix& | |
| 3267 ComplexMatrix::operator -= (const Matrix& a) | |
| 3268 { | |
| 5275 | 3269 octave_idx_type nr = rows (); |
| 3270 octave_idx_type nc = cols (); | |
| 3271 | |
| 3272 octave_idx_type a_nr = a.rows (); | |
| 3273 octave_idx_type a_nc = a.cols (); | |
| 2384 | 3274 |
| 3275 if (nr != a_nr || nc != a_nc) | |
| 458 | 3276 { |
| 2384 | 3277 gripe_nonconformant ("operator -=", nr, nc, a_nr, a_nc); |
| 458 | 3278 return *this; |
| 3279 } | |
| 3280 | |
| 3281 if (nr == 0 || nc == 0) | |
| 3282 return *this; | |
| 3283 | |
| 3284 Complex *d = fortran_vec (); // Ensures only one reference to my privates! | |
| 3285 | |
| 3769 | 3286 mx_inline_subtract2 (d, a.data (), length ()); |
| 458 | 3287 return *this; |
| 3288 } | |
| 3289 | |
| 3290 // unary operations | |
| 3291 | |
| 2964 | 3292 boolMatrix |
| 458 | 3293 ComplexMatrix::operator ! (void) const |
| 3294 { | |
| 5275 | 3295 octave_idx_type nr = rows (); |
| 3296 octave_idx_type nc = cols (); | |
| 2964 | 3297 |
| 3298 boolMatrix b (nr, nc); | |
| 3299 | |
| 5275 | 3300 for (octave_idx_type j = 0; j < nc; j++) |
| 3301 for (octave_idx_type i = 0; i < nr; i++) | |
| 5139 | 3302 b.elem (i, j) = elem (i, j) == 0.0; |
| 2964 | 3303 |
| 3304 return b; | |
| 458 | 3305 } |
| 3306 | |
| 3307 // other operations | |
| 3308 | |
| 2676 | 3309 Matrix |
|
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8c32f95c2639
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David Bateman <dbateman@free.fr>
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diff
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|
3310 ComplexMatrix::map (dmapper fcn) const |
| 458 | 3311 { |
|
7503
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|
3312 return MArray2<Complex>::map<double> (func_ptr (fcn)); |
|
8c32f95c2639
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diff
changeset
|
3313 } |
|
8c32f95c2639
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David Bateman <dbateman@free.fr>
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diff
changeset
|
3314 |
|
8c32f95c2639
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diff
changeset
|
3315 ComplexMatrix |
|
8c32f95c2639
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diff
changeset
|
3316 ComplexMatrix::map (cmapper fcn) const |
|
8c32f95c2639
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diff
changeset
|
3317 { |
|
8c32f95c2639
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7488
diff
changeset
|
3318 return MArray2<Complex>::map<Complex> (func_ptr (fcn)); |
| 3248 | 3319 } |
| 3320 | |
| 3321 boolMatrix | |
|
7503
8c32f95c2639
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David Bateman <dbateman@free.fr>
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diff
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|
3322 ComplexMatrix::map (bmapper fcn) const |
| 3248 | 3323 { |
|
7503
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diff
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|
3324 return MArray2<Complex>::map<bool> (func_ptr (fcn)); |
| 458 | 3325 } |
| 3326 | |
| 2384 | 3327 bool |
|
7922
935be827eaf8
error for NaN values in & and | expressions
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diff
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|
3328 ComplexMatrix::any_element_is_nan (void) const |
|
935be827eaf8
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parents:
7803
diff
changeset
|
3329 { |
|
935be827eaf8
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diff
changeset
|
3330 octave_idx_type nr = rows (); |
|
935be827eaf8
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parents:
7803
diff
changeset
|
3331 octave_idx_type nc = cols (); |
|
935be827eaf8
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parents:
7803
diff
changeset
|
3332 |
|
935be827eaf8
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diff
changeset
|
3333 for (octave_idx_type j = 0; j < nc; j++) |
|
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parents:
7803
diff
changeset
|
3334 for (octave_idx_type i = 0; i < nr; i++) |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
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7803
diff
changeset
|
3335 { |
|
935be827eaf8
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parents:
7803
diff
changeset
|
3336 Complex val = elem (i, j); |
|
935be827eaf8
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John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3337 if (xisnan (val)) |
|
935be827eaf8
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John W. Eaton <jwe@octave.org>
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7803
diff
changeset
|
3338 return true; |
|
935be827eaf8
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John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
3339 } |
|
935be827eaf8
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diff
changeset
|
3340 |
|
935be827eaf8
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|
3341 return false; |
|
935be827eaf8
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parents:
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diff
changeset
|
3342 } |
|
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diff
changeset
|
3343 |
|
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|
3344 bool |
| 2384 | 3345 ComplexMatrix::any_element_is_inf_or_nan (void) const |
| 3346 { | |
| 5275 | 3347 octave_idx_type nr = rows (); |
| 3348 octave_idx_type nc = cols (); | |
| 3349 | |
| 3350 for (octave_idx_type j = 0; j < nc; j++) | |
| 3351 for (octave_idx_type i = 0; i < nr; i++) | |
| 2384 | 3352 { |
| 3353 Complex val = elem (i, j); | |
| 3354 if (xisinf (val) || xisnan (val)) | |
| 3355 return true; | |
| 3356 } | |
| 3357 | |
| 3358 return false; | |
| 3359 } | |
| 3360 | |
| 2408 | 3361 // Return true if no elements have imaginary components. |
| 3362 | |
| 3363 bool | |
| 3364 ComplexMatrix::all_elements_are_real (void) const | |
| 3365 { | |
| 5275 | 3366 octave_idx_type nr = rows (); |
| 3367 octave_idx_type nc = cols (); | |
| 3368 | |
| 3369 for (octave_idx_type j = 0; j < nc; j++) | |
| 4349 | 3370 { |
| 5275 | 3371 for (octave_idx_type i = 0; i < nr; i++) |
| 4349 | 3372 { |
| 5315 | 3373 double ip = std::imag (elem (i, j)); |
| 4349 | 3374 |
| 3375 if (ip != 0.0 || lo_ieee_signbit (ip)) | |
| 3376 return false; | |
| 3377 } | |
| 3378 } | |
| 2408 | 3379 |
| 3380 return true; | |
| 3381 } | |
| 3382 | |
| 1968 | 3383 // Return nonzero if any element of CM has a non-integer real or |
| 3384 // imaginary part. Also extract the largest and smallest (real or | |
| 3385 // imaginary) values and return them in MAX_VAL and MIN_VAL. | |
| 3386 | |
| 2384 | 3387 bool |
| 1968 | 3388 ComplexMatrix::all_integers (double& max_val, double& min_val) const |
| 3389 { | |
| 5275 | 3390 octave_idx_type nr = rows (); |
| 3391 octave_idx_type nc = cols (); | |
| 1968 | 3392 |
| 3393 if (nr > 0 && nc > 0) | |
| 3394 { | |
| 3395 Complex val = elem (0, 0); | |
| 3396 | |
| 5315 | 3397 double r_val = std::real (val); |
| 3398 double i_val = std::imag (val); | |
| 1968 | 3399 |
| 3400 max_val = r_val; | |
| 3401 min_val = r_val; | |
| 3402 | |
| 3403 if (i_val > max_val) | |
| 3404 max_val = i_val; | |
| 3405 | |
| 3406 if (i_val < max_val) | |
| 3407 min_val = i_val; | |
| 3408 } | |
| 3409 else | |
| 2384 | 3410 return false; |
| 1968 | 3411 |
| 5275 | 3412 for (octave_idx_type j = 0; j < nc; j++) |
| 3413 for (octave_idx_type i = 0; i < nr; i++) | |
| 1968 | 3414 { |
| 3415 Complex val = elem (i, j); | |
| 3416 | |
| 5315 | 3417 double r_val = std::real (val); |
| 3418 double i_val = std::imag (val); | |
| 1968 | 3419 |
| 3420 if (r_val > max_val) | |
| 3421 max_val = r_val; | |
| 3422 | |
| 3423 if (i_val > max_val) | |
| 3424 max_val = i_val; | |
| 3425 | |
| 3426 if (r_val < min_val) | |
| 3427 min_val = r_val; | |
| 3428 | |
| 3429 if (i_val < min_val) | |
| 3430 min_val = i_val; | |
| 3431 | |
| 3432 if (D_NINT (r_val) != r_val || D_NINT (i_val) != i_val) | |
| 2384 | 3433 return false; |
| 1968 | 3434 } |
| 2384 | 3435 |
| 3436 return true; | |
| 1968 | 3437 } |
| 3438 | |
| 2384 | 3439 bool |
| 1968 | 3440 ComplexMatrix::too_large_for_float (void) const |
| 3441 { | |
| 5275 | 3442 octave_idx_type nr = rows (); |
| 3443 octave_idx_type nc = cols (); | |
| 3444 | |
| 3445 for (octave_idx_type j = 0; j < nc; j++) | |
| 3446 for (octave_idx_type i = 0; i < nr; i++) | |
| 1968 | 3447 { |
| 3448 Complex val = elem (i, j); | |
| 3449 | |
| 5315 | 3450 double r_val = std::real (val); |
| 3451 double i_val = std::imag (val); | |
| 1968 | 3452 |
| 5389 | 3453 if ((! (xisnan (r_val) || xisinf (r_val)) |
| 5387 | 3454 && fabs (r_val) > FLT_MAX) |
| 5389 | 3455 || (! (xisnan (i_val) || xisinf (i_val)) |
| 5387 | 3456 && fabs (i_val) > FLT_MAX)) |
| 2384 | 3457 return true; |
| 1968 | 3458 } |
| 3459 | |
| 2384 | 3460 return false; |
| 1968 | 3461 } |
| 3462 | |
| 5775 | 3463 // FIXME Do these really belong here? Maybe they should be |
| 4015 | 3464 // in a base class? |
| 3465 | |
| 2832 | 3466 boolMatrix |
| 4015 | 3467 ComplexMatrix::all (int dim) const |
| 458 | 3468 { |
| 4015 | 3469 MX_ALL_OP (dim); |
| 458 | 3470 } |
| 3471 | |
| 2832 | 3472 boolMatrix |
| 4015 | 3473 ComplexMatrix::any (int dim) const |
| 458 | 3474 { |
| 4015 | 3475 MX_ANY_OP (dim); |
| 458 | 3476 } |
| 3477 | |
| 3478 ComplexMatrix | |
| 3723 | 3479 ComplexMatrix::cumprod (int dim) const |
| 458 | 3480 { |
| 4015 | 3481 MX_CUMULATIVE_OP (ComplexMatrix, Complex, *=); |
| 458 | 3482 } |
| 3483 | |
| 3484 ComplexMatrix | |
| 3723 | 3485 ComplexMatrix::cumsum (int dim) const |
| 458 | 3486 { |
| 4015 | 3487 MX_CUMULATIVE_OP (ComplexMatrix, Complex, +=); |
| 458 | 3488 } |
| 3489 | |
| 3490 ComplexMatrix | |
| 3723 | 3491 ComplexMatrix::prod (int dim) const |
| 458 | 3492 { |
| 3864 | 3493 MX_REDUCTION_OP (ComplexMatrix, *=, 1.0, 1.0); |
| 458 | 3494 } |
| 3495 | |
| 3496 ComplexMatrix | |
| 3723 | 3497 ComplexMatrix::sum (int dim) const |
| 458 | 3498 { |
| 3864 | 3499 MX_REDUCTION_OP (ComplexMatrix, +=, 0.0, 0.0); |
| 458 | 3500 } |
| 3501 | |
| 3502 ComplexMatrix | |
| 3723 | 3503 ComplexMatrix::sumsq (int dim) const |
| 458 | 3504 { |
| 3864 | 3505 #define ROW_EXPR \ |
| 3506 Complex d = elem (i, j); \ | |
| 3507 retval.elem (i, 0) += d * conj (d) | |
| 3508 | |
| 3509 #define COL_EXPR \ | |
| 3510 Complex d = elem (i, j); \ | |
| 3511 retval.elem (0, j) += d * conj (d) | |
| 3512 | |
| 3513 MX_BASE_REDUCTION_OP (ComplexMatrix, ROW_EXPR, COL_EXPR, 0.0, 0.0); | |
| 3514 | |
| 3515 #undef ROW_EXPR | |
| 3516 #undef COL_EXPR | |
| 458 | 3517 } |
| 3518 | |
| 4329 | 3519 Matrix ComplexMatrix::abs (void) const |
| 3520 { | |
| 5275 | 3521 octave_idx_type nr = rows (); |
| 3522 octave_idx_type nc = cols (); | |
| 4329 | 3523 |
| 3524 Matrix retval (nr, nc); | |
| 3525 | |
| 5275 | 3526 for (octave_idx_type j = 0; j < nc; j++) |
| 3527 for (octave_idx_type i = 0; i < nr; i++) | |
| 5315 | 3528 retval (i, j) = std::abs (elem (i, j)); |
| 4329 | 3529 |
| 3530 return retval; | |
| 3531 } | |
| 3532 | |
|
7620
36594d5bbe13
Move diag function into the octave_value class
David Bateman <dbateman@free.fr>
parents:
7544
diff
changeset
|
3533 ComplexMatrix |
| 5275 | 3534 ComplexMatrix::diag (octave_idx_type k) const |
| 458 | 3535 { |
|
7620
36594d5bbe13
Move diag function into the octave_value class
David Bateman <dbateman@free.fr>
parents:
7544
diff
changeset
|
3536 return MArray2<Complex>::diag (k); |
| 458 | 3537 } |
| 3538 | |
| 2354 | 3539 bool |
| 5275 | 3540 ComplexMatrix::row_is_real_only (octave_idx_type i) const |
| 2354 | 3541 { |
| 3542 bool retval = true; | |
| 3543 | |
| 5275 | 3544 octave_idx_type nc = columns (); |
| 3545 | |
| 3546 for (octave_idx_type j = 0; j < nc; j++) | |
| 2354 | 3547 { |
| 5315 | 3548 if (std::imag (elem (i, j)) != 0.0) |
| 2354 | 3549 { |
| 3550 retval = false; | |
| 3551 break; | |
| 3552 } | |
| 3553 } | |
| 3554 | |
| 3555 return retval; | |
| 3556 } | |
| 3557 | |
| 3558 bool | |
| 5275 | 3559 ComplexMatrix::column_is_real_only (octave_idx_type j) const |
| 2354 | 3560 { |
| 3561 bool retval = true; | |
| 3562 | |
| 5275 | 3563 octave_idx_type nr = rows (); |
| 3564 | |
| 3565 for (octave_idx_type i = 0; i < nr; i++) | |
| 2354 | 3566 { |
| 5315 | 3567 if (std::imag (elem (i, j)) != 0.0) |
| 2354 | 3568 { |
| 3569 retval = false; | |
| 3570 break; | |
| 3571 } | |
| 3572 } | |
| 3573 | |
| 3574 return retval; | |
| 3575 } | |
| 891 | 3576 |
| 458 | 3577 ComplexColumnVector |
| 3578 ComplexMatrix::row_min (void) const | |
| 3579 { | |
| 5275 | 3580 Array<octave_idx_type> dummy_idx; |
| 4587 | 3581 return row_min (dummy_idx); |
| 458 | 3582 } |
| 3583 | |
| 3584 ComplexColumnVector | |
| 5275 | 3585 ComplexMatrix::row_min (Array<octave_idx_type>& idx_arg) const |
| 458 | 3586 { |
| 3587 ComplexColumnVector result; | |
| 3588 | |
| 5275 | 3589 octave_idx_type nr = rows (); |
| 3590 octave_idx_type nc = cols (); | |
| 458 | 3591 |
| 3592 if (nr > 0 && nc > 0) | |
| 3593 { | |
| 3594 result.resize (nr); | |
| 4587 | 3595 idx_arg.resize (nr); |
| 458 | 3596 |
| 5275 | 3597 for (octave_idx_type i = 0; i < nr; i++) |
| 458 | 3598 { |
| 2354 | 3599 bool real_only = row_is_real_only (i); |
| 3600 | |
| 5275 | 3601 octave_idx_type idx_j; |
| 4469 | 3602 |
| 3603 Complex tmp_min; | |
| 3604 | |
| 3605 double abs_min = octave_NaN; | |
| 3606 | |
| 3607 for (idx_j = 0; idx_j < nc; idx_j++) | |
| 3608 { | |
| 3609 tmp_min = elem (i, idx_j); | |
| 3610 | |
| 5389 | 3611 if (! xisnan (tmp_min)) |
| 4469 | 3612 { |
| 5315 | 3613 abs_min = real_only ? std::real (tmp_min) : std::abs (tmp_min); |
| 4469 | 3614 break; |
| 3615 } | |
| 3616 } | |
| 3617 | |
| 5275 | 3618 for (octave_idx_type j = idx_j+1; j < nc; j++) |
| 4469 | 3619 { |
| 3620 Complex tmp = elem (i, j); | |
| 3621 | |
| 5389 | 3622 if (xisnan (tmp)) |
| 4469 | 3623 continue; |
| 3624 | |
| 5315 | 3625 double abs_tmp = real_only ? std::real (tmp) : std::abs (tmp); |
| 4469 | 3626 |
| 3627 if (abs_tmp < abs_min) | |
| 3628 { | |
| 3629 idx_j = j; | |
| 3630 tmp_min = tmp; | |
| 3631 abs_min = abs_tmp; | |
| 3632 } | |
| 3633 } | |
| 3634 | |
| 5389 | 3635 if (xisnan (tmp_min)) |
| 4469 | 3636 { |
| 3637 result.elem (i) = Complex_NaN_result; | |
| 4587 | 3638 idx_arg.elem (i) = 0; |
| 4469 | 3639 } |
| 891 | 3640 else |
| 3641 { | |
| 4469 | 3642 result.elem (i) = tmp_min; |
| 4587 | 3643 idx_arg.elem (i) = idx_j; |
| 891 | 3644 } |
| 458 | 3645 } |
| 3646 } | |
| 3647 | |
| 3648 return result; | |
| 3649 } | |
| 3650 | |
| 3651 ComplexColumnVector | |
| 3652 ComplexMatrix::row_max (void) const | |
| 3653 { | |
| 5275 | 3654 Array<octave_idx_type> dummy_idx; |
| 4587 | 3655 return row_max (dummy_idx); |
| 458 | 3656 } |
| 3657 | |
| 3658 ComplexColumnVector | |
| 5275 | 3659 ComplexMatrix::row_max (Array<octave_idx_type>& idx_arg) const |
| 458 | 3660 { |
| 3661 ComplexColumnVector result; | |
| 3662 | |
| 5275 | 3663 octave_idx_type nr = rows (); |
| 3664 octave_idx_type nc = cols (); | |
| 458 | 3665 |
| 3666 if (nr > 0 && nc > 0) | |
| 3667 { | |
| 3668 result.resize (nr); | |
| 4587 | 3669 idx_arg.resize (nr); |
| 458 | 3670 |
| 5275 | 3671 for (octave_idx_type i = 0; i < nr; i++) |
| 458 | 3672 { |
| 2354 | 3673 bool real_only = row_is_real_only (i); |
| 3674 | |
| 5275 | 3675 octave_idx_type idx_j; |
| 4469 | 3676 |
| 3677 Complex tmp_max; | |
| 3678 | |
| 3679 double abs_max = octave_NaN; | |
| 3680 | |
| 3681 for (idx_j = 0; idx_j < nc; idx_j++) | |
| 3682 { | |
| 3683 tmp_max = elem (i, idx_j); | |
| 3684 | |
| 5389 | 3685 if (! xisnan (tmp_max)) |
| 4469 | 3686 { |
| 5315 | 3687 abs_max = real_only ? std::real (tmp_max) : std::abs (tmp_max); |
| 4469 | 3688 break; |
| 3689 } | |
| 3690 } | |
| 3691 | |
| 5275 | 3692 for (octave_idx_type j = idx_j+1; j < nc; j++) |
| 4469 | 3693 { |
| 3694 Complex tmp = elem (i, j); | |
| 3695 | |
| 5389 | 3696 if (xisnan (tmp)) |
| 4469 | 3697 continue; |
| 3698 | |
| 5315 | 3699 double abs_tmp = real_only ? std::real (tmp) : std::abs (tmp); |
| 4469 | 3700 |
| 3701 if (abs_tmp > abs_max) | |
| 3702 { | |
| 3703 idx_j = j; | |
| 3704 tmp_max = tmp; | |
| 3705 abs_max = abs_tmp; | |
| 3706 } | |
| 3707 } | |
| 3708 | |
| 5389 | 3709 if (xisnan (tmp_max)) |
| 4469 | 3710 { |
| 3711 result.elem (i) = Complex_NaN_result; | |
| 4587 | 3712 idx_arg.elem (i) = 0; |
| 4469 | 3713 } |
| 891 | 3714 else |
| 3715 { | |
| 4469 | 3716 result.elem (i) = tmp_max; |
| 4587 | 3717 idx_arg.elem (i) = idx_j; |
| 891 | 3718 } |
| 458 | 3719 } |
| 3720 } | |
| 3721 | |
| 3722 return result; | |
| 3723 } | |
| 3724 | |
| 3725 ComplexRowVector | |
| 3726 ComplexMatrix::column_min (void) const | |
| 3727 { | |
| 5275 | 3728 Array<octave_idx_type> dummy_idx; |
| 4587 | 3729 return column_min (dummy_idx); |
| 458 | 3730 } |
| 3731 | |
| 3732 ComplexRowVector | |
| 5275 | 3733 ComplexMatrix::column_min (Array<octave_idx_type>& idx_arg) const |
| 458 | 3734 { |
| 3735 ComplexRowVector result; | |
| 3736 | |
| 5275 | 3737 octave_idx_type nr = rows (); |
| 3738 octave_idx_type nc = cols (); | |
| 458 | 3739 |
| 3740 if (nr > 0 && nc > 0) | |
| 3741 { | |
| 3742 result.resize (nc); | |
| 4587 | 3743 idx_arg.resize (nc); |
| 458 | 3744 |
| 5275 | 3745 for (octave_idx_type j = 0; j < nc; j++) |
| 458 | 3746 { |
| 2354 | 3747 bool real_only = column_is_real_only (j); |
| 3748 | |
| 5275 | 3749 octave_idx_type idx_i; |
| 4469 | 3750 |
| 3751 Complex tmp_min; | |
| 3752 | |
| 3753 double abs_min = octave_NaN; | |
| 3754 | |
| 3755 for (idx_i = 0; idx_i < nr; idx_i++) | |
| 3756 { | |
| 3757 tmp_min = elem (idx_i, j); | |
| 3758 | |
| 5389 | 3759 if (! xisnan (tmp_min)) |
| 4469 | 3760 { |
| 5315 | 3761 abs_min = real_only ? std::real (tmp_min) : std::abs (tmp_min); |
| 4469 | 3762 break; |
| 3763 } | |
| 3764 } | |
| 3765 | |
| 5275 | 3766 for (octave_idx_type i = idx_i+1; i < nr; i++) |
| 4469 | 3767 { |
| 3768 Complex tmp = elem (i, j); | |
| 3769 | |
| 5389 | 3770 if (xisnan (tmp)) |
| 4469 | 3771 continue; |
| 3772 | |
| 5315 | 3773 double abs_tmp = real_only ? std::real (tmp) : std::abs (tmp); |
| 4469 | 3774 |
| 3775 if (abs_tmp < abs_min) | |
| 3776 { | |
| 3777 idx_i = i; | |
| 3778 tmp_min = tmp; | |
| 3779 abs_min = abs_tmp; | |
| 3780 } | |
| 3781 } | |
| 3782 | |
| 5389 | 3783 if (xisnan (tmp_min)) |
| 4469 | 3784 { |
| 3785 result.elem (j) = Complex_NaN_result; | |
| 4587 | 3786 idx_arg.elem (j) = 0; |
| 4469 | 3787 } |
| 891 | 3788 else |
| 3789 { | |
| 4469 | 3790 result.elem (j) = tmp_min; |
| 4587 | 3791 idx_arg.elem (j) = idx_i; |
| 891 | 3792 } |
| 458 | 3793 } |
| 3794 } | |
| 3795 | |
| 3796 return result; | |
| 3797 } | |
| 3798 | |
| 3799 ComplexRowVector | |
| 3800 ComplexMatrix::column_max (void) const | |
| 3801 { | |
| 5275 | 3802 Array<octave_idx_type> dummy_idx; |
| 4587 | 3803 return column_max (dummy_idx); |
| 458 | 3804 } |
| 3805 | |
| 3806 ComplexRowVector | |
| 5275 | 3807 ComplexMatrix::column_max (Array<octave_idx_type>& idx_arg) const |
| 458 | 3808 { |
| 3809 ComplexRowVector result; | |
| 3810 | |
| 5275 | 3811 octave_idx_type nr = rows (); |
| 3812 octave_idx_type nc = cols (); | |
| 458 | 3813 |
| 3814 if (nr > 0 && nc > 0) | |
| 3815 { | |
| 3816 result.resize (nc); | |
| 4587 | 3817 idx_arg.resize (nc); |
| 458 | 3818 |
| 5275 | 3819 for (octave_idx_type j = 0; j < nc; j++) |
| 458 | 3820 { |
| 2354 | 3821 bool real_only = column_is_real_only (j); |
| 3822 | |
| 5275 | 3823 octave_idx_type idx_i; |
| 4469 | 3824 |
| 3825 Complex tmp_max; | |
| 3826 | |
| 3827 double abs_max = octave_NaN; | |
| 3828 | |
| 3829 for (idx_i = 0; idx_i < nr; idx_i++) | |
| 3830 { | |
| 3831 tmp_max = elem (idx_i, j); | |
| 3832 | |
| 5389 | 3833 if (! xisnan (tmp_max)) |
| 4469 | 3834 { |
| 5315 | 3835 abs_max = real_only ? std::real (tmp_max) : std::abs (tmp_max); |
| 4469 | 3836 break; |
| 3837 } | |
| 3838 } | |
| 3839 | |
| 5275 | 3840 for (octave_idx_type i = idx_i+1; i < nr; i++) |
| 4469 | 3841 { |
| 3842 Complex tmp = elem (i, j); | |
| 3843 | |
| 5389 | 3844 if (xisnan (tmp)) |
| 4469 | 3845 continue; |
| 3846 | |
| 5315 | 3847 double abs_tmp = real_only ? std::real (tmp) : std::abs (tmp); |
| 4469 | 3848 |
| 3849 if (abs_tmp > abs_max) | |
| 3850 { | |
| 3851 idx_i = i; | |
| 3852 tmp_max = tmp; | |
| 3853 abs_max = abs_tmp; | |
| 3854 } | |
| 3855 } | |
| 3856 | |
| 5389 | 3857 if (xisnan (tmp_max)) |
| 4469 | 3858 { |
| 3859 result.elem (j) = Complex_NaN_result; | |
| 4587 | 3860 idx_arg.elem (j) = 0; |
| 4469 | 3861 } |
| 891 | 3862 else |
| 3863 { | |
| 4469 | 3864 result.elem (j) = tmp_max; |
| 4587 | 3865 idx_arg.elem (j) = idx_i; |
| 891 | 3866 } |
| 458 | 3867 } |
| 3868 } | |
| 3869 | |
| 3870 return result; | |
| 3871 } | |
| 3872 | |
| 3873 // i/o | |
| 3874 | |
| 3504 | 3875 std::ostream& |
| 3876 operator << (std::ostream& os, const ComplexMatrix& a) | |
| 458 | 3877 { |
| 5275 | 3878 for (octave_idx_type i = 0; i < a.rows (); i++) |
| 458 | 3879 { |
| 5275 | 3880 for (octave_idx_type j = 0; j < a.cols (); j++) |
| 4130 | 3881 { |
| 3882 os << " "; | |
| 3883 octave_write_complex (os, a.elem (i, j)); | |
| 3884 } | |
| 458 | 3885 os << "\n"; |
| 3886 } | |
| 3887 return os; | |
| 3888 } | |
| 3889 | |
| 3504 | 3890 std::istream& |
| 3891 operator >> (std::istream& is, ComplexMatrix& a) | |
| 458 | 3892 { |
| 5275 | 3893 octave_idx_type nr = a.rows (); |
| 3894 octave_idx_type nc = a.cols (); | |
| 458 | 3895 |
| 3896 if (nr < 1 || nc < 1) | |
| 3504 | 3897 is.clear (std::ios::badbit); |
| 458 | 3898 else |
| 3899 { | |
| 3900 Complex tmp; | |
| 5275 | 3901 for (octave_idx_type i = 0; i < nr; i++) |
| 3902 for (octave_idx_type j = 0; j < nc; j++) | |
| 458 | 3903 { |
| 4130 | 3904 tmp = octave_read_complex (is); |
| 458 | 3905 if (is) |
| 3906 a.elem (i, j) = tmp; | |
| 3907 else | |
| 2993 | 3908 goto done; |
| 458 | 3909 } |
| 3910 } | |
| 3911 | |
| 2993 | 3912 done: |
| 3913 | |
| 458 | 3914 return is; |
| 3915 } | |
| 3916 | |
| 1819 | 3917 ComplexMatrix |
| 3918 Givens (const Complex& x, const Complex& y) | |
| 3919 { | |
| 3920 double cc; | |
| 3921 Complex cs, temp_r; | |
| 3922 | |
| 3887 | 3923 F77_FUNC (zlartg, ZLARTG) (x, y, cc, cs, temp_r); |
| 1819 | 3924 |
| 3925 ComplexMatrix g (2, 2); | |
| 3926 | |
| 3927 g.elem (0, 0) = cc; | |
| 3928 g.elem (1, 1) = cc; | |
| 3929 g.elem (0, 1) = cs; | |
| 3930 g.elem (1, 0) = -conj (cs); | |
| 3931 | |
| 3932 return g; | |
| 3933 } | |
| 3934 | |
| 3935 ComplexMatrix | |
| 3936 Sylvester (const ComplexMatrix& a, const ComplexMatrix& b, | |
| 3937 const ComplexMatrix& c) | |
| 3938 { | |
| 3939 ComplexMatrix retval; | |
| 3940 | |
| 5775 | 3941 // FIXME -- need to check that a, b, and c are all the same |
| 1819 | 3942 // size. |
| 3943 | |
| 3944 // Compute Schur decompositions | |
| 3945 | |
| 3946 ComplexSCHUR as (a, "U"); | |
| 3947 ComplexSCHUR bs (b, "U"); | |
| 3948 | |
| 3949 // Transform c to new coordinates. | |
| 3950 | |
| 3951 ComplexMatrix ua = as.unitary_matrix (); | |
| 3952 ComplexMatrix sch_a = as.schur_matrix (); | |
| 3953 | |
| 3954 ComplexMatrix ub = bs.unitary_matrix (); | |
| 3955 ComplexMatrix sch_b = bs.schur_matrix (); | |
| 3956 | |
| 3957 ComplexMatrix cx = ua.hermitian () * c * ub; | |
| 3958 | |
| 3959 // Solve the sylvester equation, back-transform, and return the | |
| 3960 // solution. | |
| 3961 | |
| 5275 | 3962 octave_idx_type a_nr = a.rows (); |
| 3963 octave_idx_type b_nr = b.rows (); | |
| 1819 | 3964 |
| 3965 double scale; | |
| 5275 | 3966 octave_idx_type info; |
| 1950 | 3967 |
| 3968 Complex *pa = sch_a.fortran_vec (); | |
| 3969 Complex *pb = sch_b.fortran_vec (); | |
| 3970 Complex *px = cx.fortran_vec (); | |
| 1819 | 3971 |
| 4552 | 3972 F77_XFCN (ztrsyl, ZTRSYL, (F77_CONST_CHAR_ARG2 ("N", 1), |
| 3973 F77_CONST_CHAR_ARG2 ("N", 1), | |
| 3974 1, a_nr, b_nr, pa, a_nr, pb, | |
| 3975 b_nr, px, a_nr, scale, info | |
| 3976 F77_CHAR_ARG_LEN (1) | |
| 3977 F77_CHAR_ARG_LEN (1))); | |
| 1950 | 3978 |
|
7482
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
3979 // FIXME -- check info? |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
3980 |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
3981 retval = -ua * cx * ub.hermitian (); |
| 1819 | 3982 |
| 3983 return retval; | |
| 3984 } | |
| 3985 | |
| 2828 | 3986 ComplexMatrix |
| 3987 operator * (const ComplexMatrix& m, const Matrix& a) | |
| 3988 { | |
| 3989 ComplexMatrix tmp (a); | |
| 3990 return m * tmp; | |
| 3991 } | |
| 3992 | |
| 3993 ComplexMatrix | |
| 3994 operator * (const Matrix& m, const ComplexMatrix& a) | |
| 3995 { | |
| 3996 ComplexMatrix tmp (m); | |
| 3997 return tmp * a; | |
| 3998 } | |
| 3999 | |
| 6162 | 4000 /* Simple Dot Product, Matrix-Vector and Matrix-Matrix Unit tests |
| 4001 %!assert([1+i 2+i 3+i] * [ 4+i ; 5+i ; 6+i], 29+21i, 1e-14) | |
| 4002 %!assert([1+i 2+i ; 3+i 4+i ] * [5+i ; 6+i], [15 + 14i ; 37 + 18i], 1e-14) | |
| 4003 %!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) | |
| 4004 */ | |
| 4005 | |
| 4006 /* Test some simple identities | |
| 4007 %!shared M, cv, rv | |
| 4008 %! M = randn(10,10)+i*rand(10,10); | |
| 4009 %! cv = randn(10,1)+i*rand(10,1); | |
| 4010 %! rv = randn(1,10)+i*rand(1,10); | |
| 4011 %!assert([M*cv,M*cv],M*[cv,cv],1e-14) | |
| 4012 %!assert([rv*M;rv*M],[rv;rv]*M,1e-14) | |
| 4013 %!assert(2*rv*cv,[rv,rv]*[cv;cv],1e-14) | |
| 4014 */ | |
| 4015 | |
|
7800
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
4016 static const char * |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
4017 get_blas_trans_arg (bool trans, bool conj) |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
4018 { |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
4019 static char blas_notrans = 'N', blas_trans = 'T', blas_conj_trans = 'C'; |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
4020 return trans ? (conj ? &blas_conj_trans : &blas_trans) : &blas_notrans; |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
4021 } |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
4022 |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
4023 // the general GEMM operation |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
4024 |
| 2828 | 4025 ComplexMatrix |
|
7800
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
4026 xgemm (bool transa, bool conja, const ComplexMatrix& a, |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
4027 bool transb, bool conjb, const ComplexMatrix& b) |
| 2828 | 4028 { |
| 4029 ComplexMatrix retval; | |
| 4030 | |
|
7800
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
4031 // conjugacy is ignored if no transpose |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
4032 conja = conja && transa; |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
4033 conjb = conjb && transb; |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
4034 |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
4035 octave_idx_type a_nr = transa ? a.cols () : a.rows (); |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
4036 octave_idx_type a_nc = transa ? a.rows () : a.cols (); |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
4037 |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
4038 octave_idx_type b_nr = transb ? b.cols () : b.rows (); |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
4039 octave_idx_type b_nc = transb ? b.rows () : b.cols (); |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
4040 |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
4041 if (a_nc != b_nr) |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
4042 gripe_nonconformant ("operator *", a_nr, a_nc, b_nr, b_nc); |
| 2828 | 4043 else |
| 4044 { | |
|
7800
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
4045 if (a_nr == 0 || a_nc == 0 || b_nc == 0) |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
4046 retval.resize (a_nr, b_nc, 0.0); |
|
7801
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
4047 else if (a.data () == b.data () && a_nr == b_nc && transa != transb) |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
4048 { |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
4049 octave_idx_type lda = a.rows (); |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
4050 |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
4051 retval.resize (a_nr, b_nc); |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
4052 Complex *c = retval.fortran_vec (); |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
4053 |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
4054 const char *ctransa = get_blas_trans_arg (transa, conja); |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
4055 if (conja || conjb) |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
4056 { |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
4057 F77_XFCN (zherk, ZHERK, (F77_CONST_CHAR_ARG2 ("U", 1), |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
4058 F77_CONST_CHAR_ARG2 (ctransa, 1), |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
4059 a_nr, a_nc, 1.0, |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
4060 a.data (), lda, 0.0, c, a_nr |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
4061 F77_CHAR_ARG_LEN (1) |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
4062 F77_CHAR_ARG_LEN (1))); |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
4063 for (int j = 0; j < a_nr; j++) |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
4064 for (int i = 0; i < j; i++) |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
4065 retval.xelem (j,i) = std::conj (retval.xelem (i,j)); |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
4066 } |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
4067 else |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
4068 { |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
4069 F77_XFCN (zsyrk, ZSYRK, (F77_CONST_CHAR_ARG2 ("U", 1), |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
4070 F77_CONST_CHAR_ARG2 (ctransa, 1), |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
4071 a_nr, a_nc, 1.0, |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
4072 a.data (), lda, 0.0, c, a_nr |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
4073 F77_CHAR_ARG_LEN (1) |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
4074 F77_CHAR_ARG_LEN (1))); |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
4075 for (int j = 0; j < a_nr; j++) |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
4076 for (int i = 0; i < j; i++) |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
4077 retval.xelem (j,i) = retval.xelem (i,j); |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
4078 |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
4079 } |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
4080 |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
4081 } |
| 2828 | 4082 else |
| 4083 { | |
|
7800
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
4084 octave_idx_type lda = a.rows (), tda = a.cols (); |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
4085 octave_idx_type ldb = b.rows (), tdb = b.cols (); |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
4086 |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
4087 retval.resize (a_nr, b_nc); |
| 2828 | 4088 Complex *c = retval.fortran_vec (); |
| 4089 | |
|
7800
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
4090 if (b_nc == 1 && a_nr == 1) |
| 5983 | 4091 { |
|
7800
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
4092 if (conja == conjb) |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
4093 { |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
4094 F77_FUNC (xzdotu, XZDOTU) (a_nc, a.data (), 1, b.data (), 1, *c); |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
4095 if (conja) *c = std::conj (*c); |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
4096 } |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
4097 else if (conjb) |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
4098 F77_FUNC (xzdotc, XZDOTC) (a_nc, a.data (), 1, b.data (), 1, *c); |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
4099 else |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
4100 F77_FUNC (xzdotc, XZDOTC) (a_nc, b.data (), 1, a.data (), 1, *c); |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
4101 } |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
4102 else if (b_nc == 1 && ! conjb) |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
4103 { |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
4104 const char *ctransa = get_blas_trans_arg (transa, conja); |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
4105 F77_XFCN (zgemv, ZGEMV, (F77_CONST_CHAR_ARG2 (ctransa, 1), |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
4106 lda, tda, 1.0, a.data (), lda, |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
4107 b.data (), 1, 0.0, c, 1 |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
4108 F77_CHAR_ARG_LEN (1))); |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
4109 } |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
4110 else if (a_nr == 1 && ! conja) |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
4111 { |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
4112 const char *crevtransb = get_blas_trans_arg (! transb, conjb); |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
4113 F77_XFCN (zgemv, ZGEMV, (F77_CONST_CHAR_ARG2 (crevtransb, 1), |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
4114 ldb, tdb, 1.0, b.data (), ldb, |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
4115 a.data (), 1, 0.0, c, 1 |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
4116 F77_CHAR_ARG_LEN (1))); |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
4117 } |
| 5983 | 4118 else |
| 6390 | 4119 { |
|
7800
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
4120 const char *ctransa = get_blas_trans_arg (transa, conja); |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
4121 const char *ctransb = get_blas_trans_arg (transb, conjb); |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
4122 F77_XFCN (zgemm, ZGEMM, (F77_CONST_CHAR_ARG2 (ctransa, 1), |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
4123 F77_CONST_CHAR_ARG2 (ctransb, 1), |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
4124 a_nr, b_nc, a_nc, 1.0, a.data (), |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
4125 lda, b.data (), ldb, 0.0, c, a_nr |
| 6390 | 4126 F77_CHAR_ARG_LEN (1) |
| 4127 F77_CHAR_ARG_LEN (1))); | |
| 4128 } | |
| 2828 | 4129 } |
| 4130 } | |
| 4131 | |
| 4132 return retval; | |
| 4133 } | |
| 4134 | |
|
7800
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
4135 ComplexMatrix |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
4136 operator * (const ComplexMatrix& a, const ComplexMatrix& b) |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
4137 { |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
4138 return xgemm (false, false, a, false, false, b); |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
4139 } |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
4140 |
| 5775 | 4141 // FIXME -- it would be nice to share code among the min/max |
| 4309 | 4142 // functions below. |
| 4143 | |
| 4144 #define EMPTY_RETURN_CHECK(T) \ | |
| 4145 if (nr == 0 || nc == 0) \ | |
| 4146 return T (nr, nc); | |
| 4147 | |
| 4148 ComplexMatrix | |
| 4149 min (const Complex& c, const ComplexMatrix& m) | |
| 4150 { | |
| 5275 | 4151 octave_idx_type nr = m.rows (); |
| 4152 octave_idx_type nc = m.columns (); | |
| 4309 | 4153 |
| 4154 EMPTY_RETURN_CHECK (ComplexMatrix); | |
| 4155 | |
| 4156 ComplexMatrix result (nr, nc); | |
| 4157 | |
| 5275 | 4158 for (octave_idx_type j = 0; j < nc; j++) |
| 4159 for (octave_idx_type i = 0; i < nr; i++) | |
| 4309 | 4160 { |
| 4161 OCTAVE_QUIT; | |
| 4162 result (i, j) = xmin (c, m (i, j)); | |
| 4163 } | |
| 4164 | |
| 4165 return result; | |
| 4166 } | |
| 4167 | |
| 4168 ComplexMatrix | |
| 4169 min (const ComplexMatrix& m, const Complex& c) | |
| 4170 { | |
| 5275 | 4171 octave_idx_type nr = m.rows (); |
| 4172 octave_idx_type nc = m.columns (); | |
| 4309 | 4173 |
| 4174 EMPTY_RETURN_CHECK (ComplexMatrix); | |
| 4175 | |
| 4176 ComplexMatrix result (nr, nc); | |
| 4177 | |
| 5275 | 4178 for (octave_idx_type j = 0; j < nc; j++) |
| 4179 for (octave_idx_type i = 0; i < nr; i++) | |
| 4309 | 4180 { |
| 4181 OCTAVE_QUIT; | |
| 4182 result (i, j) = xmin (m (i, j), c); | |
| 4183 } | |
| 4184 | |
| 4185 return result; | |
| 4186 } | |
| 4187 | |
| 4188 ComplexMatrix | |
| 4189 min (const ComplexMatrix& a, const ComplexMatrix& b) | |
| 4190 { | |
| 5275 | 4191 octave_idx_type nr = a.rows (); |
| 4192 octave_idx_type nc = a.columns (); | |
| 4309 | 4193 |
| 4194 if (nr != b.rows () || nc != b.columns ()) | |
| 4195 { | |
| 4196 (*current_liboctave_error_handler) | |
| 4197 ("two-arg min expecting args of same size"); | |
| 4198 return ComplexMatrix (); | |
| 4199 } | |
| 4200 | |
| 4201 EMPTY_RETURN_CHECK (ComplexMatrix); | |
| 4202 | |
| 4203 ComplexMatrix result (nr, nc); | |
| 4204 | |
| 5275 | 4205 for (octave_idx_type j = 0; j < nc; j++) |
| 4309 | 4206 { |
| 4207 int columns_are_real_only = 1; | |
| 5275 | 4208 for (octave_idx_type i = 0; i < nr; i++) |
| 4309 | 4209 { |
| 4210 OCTAVE_QUIT; | |
| 5315 | 4211 if (std::imag (a (i, j)) != 0.0 || std::imag (b (i, j)) != 0.0) |
| 4309 | 4212 { |
| 4213 columns_are_real_only = 0; | |
| 4214 break; | |
| 4215 } | |
| 4216 } | |
| 4217 | |
| 4218 if (columns_are_real_only) | |
| 4219 { | |
| 5275 | 4220 for (octave_idx_type i = 0; i < nr; i++) |
| 5315 | 4221 result (i, j) = xmin (std::real (a (i, j)), std::real (b (i, j))); |
| 4309 | 4222 } |
| 4223 else | |
| 4224 { | |
| 5275 | 4225 for (octave_idx_type i = 0; i < nr; i++) |
| 4309 | 4226 { |
| 4227 OCTAVE_QUIT; | |
| 4228 result (i, j) = xmin (a (i, j), b (i, j)); | |
| 4229 } | |
| 4230 } | |
| 4231 } | |
| 4232 | |
| 4233 return result; | |
| 4234 } | |
| 4235 | |
| 4236 ComplexMatrix | |
| 4237 max (const Complex& c, const ComplexMatrix& m) | |
| 4238 { | |
| 5275 | 4239 octave_idx_type nr = m.rows (); |
| 4240 octave_idx_type nc = m.columns (); | |
| 4309 | 4241 |
| 4242 EMPTY_RETURN_CHECK (ComplexMatrix); | |
| 4243 | |
| 4244 ComplexMatrix result (nr, nc); | |
| 4245 | |
| 5275 | 4246 for (octave_idx_type j = 0; j < nc; j++) |
| 4247 for (octave_idx_type i = 0; i < nr; i++) | |
| 4309 | 4248 { |
| 4249 OCTAVE_QUIT; | |
| 4250 result (i, j) = xmax (c, m (i, j)); | |
| 4251 } | |
| 4252 | |
| 4253 return result; | |
| 4254 } | |
| 4255 | |
| 4256 ComplexMatrix | |
| 4257 max (const ComplexMatrix& m, const Complex& c) | |
| 4258 { | |
| 5275 | 4259 octave_idx_type nr = m.rows (); |
| 4260 octave_idx_type nc = m.columns (); | |
| 4309 | 4261 |
| 4262 EMPTY_RETURN_CHECK (ComplexMatrix); | |
| 4263 | |
| 4264 ComplexMatrix result (nr, nc); | |
| 4265 | |
| 5275 | 4266 for (octave_idx_type j = 0; j < nc; j++) |
| 4267 for (octave_idx_type i = 0; i < nr; i++) | |
| 4309 | 4268 { |
| 4269 OCTAVE_QUIT; | |
| 4270 result (i, j) = xmax (m (i, j), c); | |
| 4271 } | |
| 4272 | |
| 4273 return result; | |
| 4274 } | |
| 4275 | |
| 4276 ComplexMatrix | |
| 4277 max (const ComplexMatrix& a, const ComplexMatrix& b) | |
| 4278 { | |
| 5275 | 4279 octave_idx_type nr = a.rows (); |
| 4280 octave_idx_type nc = a.columns (); | |
| 4309 | 4281 |
| 4282 if (nr != b.rows () || nc != b.columns ()) | |
| 4283 { | |
| 4284 (*current_liboctave_error_handler) | |
| 4285 ("two-arg max expecting args of same size"); | |
| 4286 return ComplexMatrix (); | |
| 4287 } | |
| 4288 | |
| 4289 EMPTY_RETURN_CHECK (ComplexMatrix); | |
| 4290 | |
| 4291 ComplexMatrix result (nr, nc); | |
| 4292 | |
| 5275 | 4293 for (octave_idx_type j = 0; j < nc; j++) |
| 4309 | 4294 { |
| 4295 int columns_are_real_only = 1; | |
| 5275 | 4296 for (octave_idx_type i = 0; i < nr; i++) |
| 4309 | 4297 { |
| 4298 OCTAVE_QUIT; | |
| 5315 | 4299 if (std::imag (a (i, j)) != 0.0 || std::imag (b (i, j)) != 0.0) |
| 4309 | 4300 { |
| 4301 columns_are_real_only = 0; | |
| 4302 break; | |
| 4303 } | |
| 4304 } | |
| 4305 | |
| 4306 if (columns_are_real_only) | |
| 4307 { | |
| 5275 | 4308 for (octave_idx_type i = 0; i < nr; i++) |
| 4309 | 4309 { |
| 4310 OCTAVE_QUIT; | |
| 5315 | 4311 result (i, j) = xmax (std::real (a (i, j)), std::real (b (i, j))); |
| 4309 | 4312 } |
| 4313 } | |
| 4314 else | |
| 4315 { | |
| 5275 | 4316 for (octave_idx_type i = 0; i < nr; i++) |
| 4309 | 4317 { |
| 4318 OCTAVE_QUIT; | |
| 4319 result (i, j) = xmax (a (i, j), b (i, j)); | |
| 4320 } | |
| 4321 } | |
| 4322 } | |
| 4323 | |
| 4324 return result; | |
| 4325 } | |
| 4326 | |
| 5315 | 4327 MS_CMP_OPS(ComplexMatrix, std::real, Complex, std::real) |
| 3504 | 4328 MS_BOOL_OPS(ComplexMatrix, Complex, 0.0) |
| 2870 | 4329 |
| 5315 | 4330 SM_CMP_OPS(Complex, std::real, ComplexMatrix, std::real) |
| 3504 | 4331 SM_BOOL_OPS(Complex, ComplexMatrix, 0.0) |
| 2870 | 4332 |
| 5315 | 4333 MM_CMP_OPS(ComplexMatrix, std::real, ComplexMatrix, std::real) |
| 3504 | 4334 MM_BOOL_OPS(ComplexMatrix, ComplexMatrix, 0.0) |
| 2870 | 4335 |
| 458 | 4336 /* |
| 4337 ;;; Local Variables: *** | |
| 4338 ;;; mode: C++ *** | |
| 4339 ;;; End: *** | |
| 4340 */ |