Mercurial > hg > octave-max
annotate liboctave/CMatrix.cc @ 8337:e02242c54c49
reuse matrix type detected in det
| author | Jaroslav Hajek <highegg@gmail.com> |
|---|---|
| date | Wed, 19 Nov 2008 16:55:47 +0100 |
| parents | 9813c07ca946 |
| children | 25bc2d31e1bf |
| 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::Unknown) |
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1598 typ = mattype.type (*this); |
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1599 |
|
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1600 if (typ == MatrixType::Lower || typ == MatrixType::Upper) |
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1601 { |
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1602 for (octave_idx_type i = 0; i < nc; i++) |
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1603 retval *= elem (i,i); |
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1604 } |
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1605 else if (typ == MatrixType::Hermitian) |
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1606 { |
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1607 ComplexMatrix atmp = *this; |
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1608 Complex *tmp_data = atmp.fortran_vec (); |
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1609 |
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1610 info = 0; |
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1611 double anorm = 0; |
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1612 if (calc_cond) anorm = xnorm (*this, 1); |
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1613 |
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1614 |
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1615 char job = 'L'; |
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1616 F77_XFCN (zpotrf, ZPOTRF, (F77_CONST_CHAR_ARG2 (&job, 1), nr, |
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1617 tmp_data, nr, info |
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1618 F77_CHAR_ARG_LEN (1))); |
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1619 |
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1620 if (info != 0) |
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1621 { |
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1622 rcon = 0.0; |
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1623 mattype.mark_as_unsymmetric (); |
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1624 typ = MatrixType::Full; |
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1625 } |
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1626 else |
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1627 { |
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1628 Array<Complex> z (2 * nc); |
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1629 Complex *pz = z.fortran_vec (); |
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1630 Array<double> rz (nc); |
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1631 double *prz = rz.fortran_vec (); |
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1632 |
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1633 F77_XFCN (zpocon, ZPOCON, (F77_CONST_CHAR_ARG2 (&job, 1), |
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1634 nr, tmp_data, nr, anorm, |
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1635 rcon, pz, prz, info |
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1636 F77_CHAR_ARG_LEN (1))); |
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1637 |
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1638 if (info != 0) |
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1639 rcon = 0.0; |
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1640 |
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1641 for (octave_idx_type i = 0; i < nc; i++) |
|
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1642 retval *= atmp (i,i); |
|
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1643 |
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1644 retval = retval.square (); |
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1645 } |
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1646 } |
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1647 else if (typ != MatrixType::Full) |
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1648 (*current_liboctave_error_handler) ("det: invalid dense matrix type"); |
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1649 |
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1650 if (typ == MatrixType::Full) |
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1651 { |
|
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1652 Array<octave_idx_type> ipvt (nr); |
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1653 octave_idx_type *pipvt = ipvt.fortran_vec (); |
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1654 |
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1655 ComplexMatrix atmp = *this; |
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1656 Complex *tmp_data = atmp.fortran_vec (); |
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1657 |
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1658 info = 0; |
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1659 |
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1660 // Calculate the norm of the matrix, for later use. |
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1661 double anorm = 0; |
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1662 if (calc_cond) anorm = xnorm (*this, 1); |
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1663 |
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1664 F77_XFCN (zgetrf, ZGETRF, (nr, nr, tmp_data, nr, pipvt, info)); |
|
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1665 |
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1666 // Throw-away extra info LAPACK gives so as to not change output. |
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1667 rcon = 0.0; |
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1668 if (info != 0) |
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1669 { |
|
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1670 info = -1; |
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1671 retval = ComplexDET (); |
|
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1672 } |
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1673 else |
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1674 { |
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1675 if (calc_cond) |
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1676 { |
|
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1677 // Now calc the condition number for non-singular matrix. |
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1678 char job = '1'; |
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1679 Array<Complex> z (2 * nc); |
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1680 Complex *pz = z.fortran_vec (); |
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1681 Array<double> rz (2 * nc); |
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1682 double *prz = rz.fortran_vec (); |
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1683 |
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1684 F77_XFCN (zgecon, ZGECON, (F77_CONST_CHAR_ARG2 (&job, 1), |
|
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1685 nc, tmp_data, nr, anorm, |
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1686 rcon, pz, prz, info |
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1687 F77_CHAR_ARG_LEN (1))); |
| 8335 | 1688 } |
|
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1689 |
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1690 if (info != 0) |
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1691 { |
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1692 info = -1; |
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1693 retval = ComplexDET (); |
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1694 } |
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1695 else |
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1696 { |
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1697 for (octave_idx_type i = 0; i < nc; i++) |
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1698 { |
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1699 Complex c = atmp(i,i); |
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1700 retval *= (ipvt(i) != (i+1)) ? -c : c; |
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1701 } |
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1702 } |
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1703 } |
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1704 } |
| 458 | 1705 } |
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1706 |
| 458 | 1707 return retval; |
| 1708 } | |
| 1709 | |
| 7788 | 1710 double |
| 1711 ComplexMatrix::rcond (void) const | |
| 1712 { | |
| 1713 MatrixType mattype (*this); | |
| 1714 return rcond (mattype); | |
| 1715 } | |
| 1716 | |
| 1717 double | |
| 1718 ComplexMatrix::rcond (MatrixType &mattype) const | |
| 1719 { | |
| 1720 double rcon; | |
| 1721 octave_idx_type nr = rows (); | |
| 1722 octave_idx_type nc = cols (); | |
| 1723 | |
| 1724 if (nr != nc) | |
| 1725 (*current_liboctave_error_handler) ("matrix must be square"); | |
| 1726 else if (nr == 0 || nc == 0) | |
| 1727 rcon = octave_Inf; | |
| 1728 else | |
| 1729 { | |
| 1730 int typ = mattype.type (); | |
| 1731 | |
| 1732 if (typ == MatrixType::Unknown) | |
| 1733 typ = mattype.type (*this); | |
| 1734 | |
| 1735 // Only calculate the condition number for LU/Cholesky | |
| 1736 if (typ == MatrixType::Upper) | |
| 1737 { | |
| 1738 const Complex *tmp_data = fortran_vec (); | |
| 1739 octave_idx_type info = 0; | |
| 1740 char norm = '1'; | |
| 1741 char uplo = 'U'; | |
| 1742 char dia = 'N'; | |
| 1743 | |
| 1744 Array<Complex> z (2 * nc); | |
| 1745 Complex *pz = z.fortran_vec (); | |
| 1746 Array<double> rz (nc); | |
| 1747 double *prz = rz.fortran_vec (); | |
| 1748 | |
| 1749 F77_XFCN (ztrcon, ZTRCON, (F77_CONST_CHAR_ARG2 (&norm, 1), | |
| 1750 F77_CONST_CHAR_ARG2 (&uplo, 1), | |
| 1751 F77_CONST_CHAR_ARG2 (&dia, 1), | |
| 1752 nr, tmp_data, nr, rcon, | |
| 1753 pz, prz, info | |
| 1754 F77_CHAR_ARG_LEN (1) | |
| 1755 F77_CHAR_ARG_LEN (1) | |
| 1756 F77_CHAR_ARG_LEN (1))); | |
| 1757 | |
| 1758 if (info != 0) | |
| 1759 rcon = 0; | |
| 1760 } | |
| 1761 else if (typ == MatrixType::Permuted_Upper) | |
| 1762 (*current_liboctave_error_handler) | |
| 1763 ("permuted triangular matrix not implemented"); | |
| 1764 else if (typ == MatrixType::Lower) | |
| 1765 { | |
| 1766 const Complex *tmp_data = fortran_vec (); | |
| 1767 octave_idx_type info = 0; | |
| 1768 char norm = '1'; | |
| 1769 char uplo = 'L'; | |
| 1770 char dia = 'N'; | |
| 1771 | |
| 1772 Array<Complex> z (2 * nc); | |
| 1773 Complex *pz = z.fortran_vec (); | |
| 1774 Array<double> rz (nc); | |
| 1775 double *prz = rz.fortran_vec (); | |
| 1776 | |
| 1777 F77_XFCN (ztrcon, ZTRCON, (F77_CONST_CHAR_ARG2 (&norm, 1), | |
| 1778 F77_CONST_CHAR_ARG2 (&uplo, 1), | |
| 1779 F77_CONST_CHAR_ARG2 (&dia, 1), | |
| 1780 nr, tmp_data, nr, rcon, | |
| 1781 pz, prz, info | |
| 1782 F77_CHAR_ARG_LEN (1) | |
| 1783 F77_CHAR_ARG_LEN (1) | |
| 1784 F77_CHAR_ARG_LEN (1))); | |
| 1785 | |
| 1786 if (info != 0) | |
| 1787 rcon = 0.0; | |
| 1788 } | |
| 1789 else if (typ == MatrixType::Permuted_Lower) | |
| 1790 (*current_liboctave_error_handler) | |
| 1791 ("permuted triangular matrix not implemented"); | |
| 1792 else if (typ == MatrixType::Full || typ == MatrixType::Hermitian) | |
| 1793 { | |
| 1794 double anorm = -1.0; | |
| 1795 ComplexMatrix atmp = *this; | |
| 1796 Complex *tmp_data = atmp.fortran_vec (); | |
| 1797 | |
| 1798 if (typ == MatrixType::Hermitian) | |
| 1799 { | |
| 1800 octave_idx_type info = 0; | |
| 1801 char job = 'L'; | |
| 1802 anorm = atmp.abs().sum(). | |
| 1803 row(static_cast<octave_idx_type>(0)).max(); | |
| 1804 | |
| 1805 F77_XFCN (zpotrf, ZPOTRF, (F77_CONST_CHAR_ARG2 (&job, 1), nr, | |
| 1806 tmp_data, nr, info | |
| 1807 F77_CHAR_ARG_LEN (1))); | |
| 1808 | |
| 1809 if (info != 0) | |
| 1810 { | |
| 1811 rcon = 0.0; | |
| 1812 | |
| 1813 mattype.mark_as_unsymmetric (); | |
| 1814 typ = MatrixType::Full; | |
| 1815 } | |
| 1816 else | |
| 1817 { | |
| 1818 Array<Complex> z (2 * nc); | |
| 1819 Complex *pz = z.fortran_vec (); | |
| 1820 Array<double> rz (nc); | |
| 1821 double *prz = rz.fortran_vec (); | |
| 1822 | |
| 1823 F77_XFCN (zpocon, ZPOCON, (F77_CONST_CHAR_ARG2 (&job, 1), | |
| 1824 nr, tmp_data, nr, anorm, | |
| 1825 rcon, pz, prz, info | |
| 1826 F77_CHAR_ARG_LEN (1))); | |
| 1827 | |
| 1828 if (info != 0) | |
| 1829 rcon = 0.0; | |
| 1830 } | |
| 1831 } | |
| 1832 | |
| 1833 | |
| 1834 if (typ == MatrixType::Full) | |
| 1835 { | |
| 1836 octave_idx_type info = 0; | |
| 1837 | |
| 1838 Array<octave_idx_type> ipvt (nr); | |
| 1839 octave_idx_type *pipvt = ipvt.fortran_vec (); | |
| 1840 | |
| 1841 if(anorm < 0.) | |
| 1842 anorm = atmp.abs().sum(). | |
| 1843 row(static_cast<octave_idx_type>(0)).max(); | |
| 1844 | |
| 1845 Array<Complex> z (2 * nc); | |
| 1846 Complex *pz = z.fortran_vec (); | |
| 1847 Array<double> rz (2 * nc); | |
| 1848 double *prz = rz.fortran_vec (); | |
| 1849 | |
| 1850 F77_XFCN (zgetrf, ZGETRF, (nr, nr, tmp_data, nr, pipvt, info)); | |
| 1851 | |
| 1852 if (info != 0) | |
| 1853 { | |
| 1854 rcon = 0.0; | |
| 1855 mattype.mark_as_rectangular (); | |
| 1856 } | |
| 1857 else | |
| 1858 { | |
| 1859 char job = '1'; | |
| 1860 F77_XFCN (zgecon, ZGECON, (F77_CONST_CHAR_ARG2 (&job, 1), | |
| 1861 nc, tmp_data, nr, anorm, | |
| 1862 rcon, pz, prz, info | |
| 1863 F77_CHAR_ARG_LEN (1))); | |
| 1864 | |
| 1865 if (info != 0) | |
| 1866 rcon = 0.0; | |
| 1867 } | |
| 1868 } | |
| 1869 } | |
| 1870 else | |
| 1871 rcon = 0.0; | |
| 1872 } | |
| 1873 | |
| 1874 return rcon; | |
| 1875 } | |
| 1876 | |
| 458 | 1877 ComplexMatrix |
| 5785 | 1878 ComplexMatrix::utsolve (MatrixType &mattype, const ComplexMatrix& b, |
| 7788 | 1879 octave_idx_type& info, double& rcon, |
| 5785 | 1880 solve_singularity_handler sing_handler, |
| 1881 bool calc_cond) const | |
| 1882 { | |
| 1883 ComplexMatrix retval; | |
| 1884 | |
| 1885 octave_idx_type nr = rows (); | |
| 1886 octave_idx_type nc = cols (); | |
| 1887 | |
| 6924 | 1888 if (nr != b.rows ()) |
| 5785 | 1889 (*current_liboctave_error_handler) |
| 1890 ("matrix dimension mismatch solution of linear equations"); | |
| 6924 | 1891 else if (nr == 0 || nc == 0 || b.cols () == 0) |
| 1892 retval = ComplexMatrix (nc, b.cols (), Complex (0.0, 0.0)); | |
| 5785 | 1893 else |
| 1894 { | |
| 1895 volatile int typ = mattype.type (); | |
| 1896 | |
| 1897 if (typ == MatrixType::Permuted_Upper || | |
| 1898 typ == MatrixType::Upper) | |
| 1899 { | |
| 1900 octave_idx_type b_nc = b.cols (); | |
| 7788 | 1901 rcon = 1.; |
| 5785 | 1902 info = 0; |
| 1903 | |
| 1904 if (typ == MatrixType::Permuted_Upper) | |
| 1905 { | |
| 1906 (*current_liboctave_error_handler) | |
| 6390 | 1907 ("permuted triangular matrix not implemented"); |
| 5785 | 1908 } |
| 1909 else | |
| 1910 { | |
| 1911 const Complex *tmp_data = fortran_vec (); | |
| 1912 | |
| 1913 if (calc_cond) | |
| 1914 { | |
| 1915 char norm = '1'; | |
| 1916 char uplo = 'U'; | |
| 1917 char dia = 'N'; | |
| 1918 | |
| 1919 Array<Complex> z (2 * nc); | |
| 1920 Complex *pz = z.fortran_vec (); | |
| 1921 Array<double> rz (nc); | |
| 1922 double *prz = rz.fortran_vec (); | |
| 1923 | |
| 1924 F77_XFCN (ztrcon, ZTRCON, (F77_CONST_CHAR_ARG2 (&norm, 1), | |
| 1925 F77_CONST_CHAR_ARG2 (&uplo, 1), | |
| 1926 F77_CONST_CHAR_ARG2 (&dia, 1), | |
| 7788 | 1927 nr, tmp_data, nr, rcon, |
| 5785 | 1928 pz, prz, info |
| 1929 F77_CHAR_ARG_LEN (1) | |
| 1930 F77_CHAR_ARG_LEN (1) | |
| 1931 F77_CHAR_ARG_LEN (1))); | |
| 1932 | |
| 1933 if (info != 0) | |
| 1934 info = -2; | |
| 1935 | |
| 7788 | 1936 volatile double rcond_plus_one = rcon + 1.0; |
| 1937 | |
| 1938 if (rcond_plus_one == 1.0 || xisnan (rcon)) | |
| 5785 | 1939 { |
| 1940 info = -2; | |
| 1941 | |
| 1942 if (sing_handler) | |
| 7788 | 1943 sing_handler (rcon); |
| 5785 | 1944 else |
| 1945 (*current_liboctave_error_handler) | |
| 1946 ("matrix singular to machine precision, rcond = %g", | |
| 7788 | 1947 rcon); |
| 5785 | 1948 } |
| 1949 } | |
| 1950 | |
| 1951 if (info == 0) | |
| 1952 { | |
| 1953 retval = b; | |
| 1954 Complex *result = retval.fortran_vec (); | |
| 1955 | |
| 1956 char uplo = 'U'; | |
| 1957 char trans = 'N'; | |
| 1958 char dia = 'N'; | |
| 1959 | |
| 1960 F77_XFCN (ztrtrs, ZTRTRS, (F77_CONST_CHAR_ARG2 (&uplo, 1), | |
| 1961 F77_CONST_CHAR_ARG2 (&trans, 1), | |
| 1962 F77_CONST_CHAR_ARG2 (&dia, 1), | |
| 1963 nr, b_nc, tmp_data, nr, | |
| 1964 result, nr, info | |
| 1965 F77_CHAR_ARG_LEN (1) | |
| 1966 F77_CHAR_ARG_LEN (1) | |
| 1967 F77_CHAR_ARG_LEN (1))); | |
| 1968 } | |
| 1969 } | |
| 1970 } | |
| 1971 else | |
| 1972 (*current_liboctave_error_handler) ("incorrect matrix type"); | |
| 1973 } | |
| 1974 | |
| 1975 return retval; | |
| 1976 } | |
| 1977 | |
| 1978 ComplexMatrix | |
| 1979 ComplexMatrix::ltsolve (MatrixType &mattype, const ComplexMatrix& b, | |
| 7788 | 1980 octave_idx_type& info, double& rcon, |
| 5785 | 1981 solve_singularity_handler sing_handler, |
| 1982 bool calc_cond) const | |
| 1983 { | |
| 1984 ComplexMatrix retval; | |
| 1985 | |
| 1986 octave_idx_type nr = rows (); | |
| 1987 octave_idx_type nc = cols (); | |
| 1988 | |
| 6924 | 1989 if (nr != b.rows ()) |
| 5785 | 1990 (*current_liboctave_error_handler) |
| 1991 ("matrix dimension mismatch solution of linear equations"); | |
| 6924 | 1992 else if (nr == 0 || nc == 0 || b.cols () == 0) |
| 1993 retval = ComplexMatrix (nc, b.cols (), Complex (0.0, 0.0)); | |
| 5785 | 1994 else |
| 1995 { | |
| 1996 volatile int typ = mattype.type (); | |
| 1997 | |
| 1998 if (typ == MatrixType::Permuted_Lower || | |
| 1999 typ == MatrixType::Lower) | |
| 2000 { | |
| 2001 octave_idx_type b_nc = b.cols (); | |
| 7788 | 2002 rcon = 1.; |
| 5785 | 2003 info = 0; |
| 2004 | |
| 2005 if (typ == MatrixType::Permuted_Lower) | |
| 2006 { | |
| 2007 (*current_liboctave_error_handler) | |
| 6390 | 2008 ("permuted triangular matrix not implemented"); |
| 5785 | 2009 } |
| 2010 else | |
| 2011 { | |
| 2012 const Complex *tmp_data = fortran_vec (); | |
| 2013 | |
| 2014 if (calc_cond) | |
| 2015 { | |
| 2016 char norm = '1'; | |
| 2017 char uplo = 'L'; | |
| 2018 char dia = 'N'; | |
| 2019 | |
| 2020 Array<Complex> z (2 * nc); | |
| 2021 Complex *pz = z.fortran_vec (); | |
| 2022 Array<double> rz (nc); | |
| 2023 double *prz = rz.fortran_vec (); | |
| 2024 | |
| 2025 F77_XFCN (ztrcon, ZTRCON, (F77_CONST_CHAR_ARG2 (&norm, 1), | |
| 2026 F77_CONST_CHAR_ARG2 (&uplo, 1), | |
| 2027 F77_CONST_CHAR_ARG2 (&dia, 1), | |
| 7788 | 2028 nr, tmp_data, nr, rcon, |
| 5785 | 2029 pz, prz, info |
| 2030 F77_CHAR_ARG_LEN (1) | |
| 2031 F77_CHAR_ARG_LEN (1) | |
| 2032 F77_CHAR_ARG_LEN (1))); | |
| 2033 | |
| 2034 if (info != 0) | |
| 2035 info = -2; | |
| 2036 | |
| 7788 | 2037 volatile double rcond_plus_one = rcon + 1.0; |
| 2038 | |
| 2039 if (rcond_plus_one == 1.0 || xisnan (rcon)) | |
| 5785 | 2040 { |
| 2041 info = -2; | |
| 2042 | |
| 2043 if (sing_handler) | |
| 7788 | 2044 sing_handler (rcon); |
| 5785 | 2045 else |
| 2046 (*current_liboctave_error_handler) | |
| 2047 ("matrix singular to machine precision, rcond = %g", | |
| 7788 | 2048 rcon); |
| 5785 | 2049 } |
| 2050 } | |
| 2051 | |
| 2052 if (info == 0) | |
| 2053 { | |
| 2054 retval = b; | |
| 2055 Complex *result = retval.fortran_vec (); | |
| 2056 | |
| 2057 char uplo = 'L'; | |
| 2058 char trans = 'N'; | |
| 2059 char dia = 'N'; | |
| 2060 | |
| 2061 F77_XFCN (ztrtrs, ZTRTRS, (F77_CONST_CHAR_ARG2 (&uplo, 1), | |
| 2062 F77_CONST_CHAR_ARG2 (&trans, 1), | |
| 2063 F77_CONST_CHAR_ARG2 (&dia, 1), | |
| 2064 nr, b_nc, tmp_data, nr, | |
| 2065 result, nr, info | |
| 2066 F77_CHAR_ARG_LEN (1) | |
| 2067 F77_CHAR_ARG_LEN (1) | |
| 2068 F77_CHAR_ARG_LEN (1))); | |
| 2069 } | |
| 2070 } | |
| 2071 } | |
| 2072 else | |
| 2073 (*current_liboctave_error_handler) ("incorrect matrix type"); | |
| 2074 } | |
| 2075 | |
| 2076 return retval; | |
| 2077 } | |
| 2078 | |
| 2079 ComplexMatrix | |
| 2080 ComplexMatrix::fsolve (MatrixType &mattype, const ComplexMatrix& b, | |
| 7788 | 2081 octave_idx_type& info, double& rcon, |
| 5785 | 2082 solve_singularity_handler sing_handler, |
| 2083 bool calc_cond) const | |
| 2084 { | |
| 2085 ComplexMatrix retval; | |
| 2086 | |
| 2087 octave_idx_type nr = rows (); | |
| 2088 octave_idx_type nc = cols (); | |
| 2089 | |
| 6924 | 2090 |
| 2091 if (nr != nc || nr != b.rows ()) | |
| 5785 | 2092 (*current_liboctave_error_handler) |
| 6924 | 2093 ("matrix dimension mismatch solution of linear equations"); |
| 2094 else if (nr == 0 || b.cols () == 0) | |
| 2095 retval = ComplexMatrix (nc, b.cols (), Complex (0.0, 0.0)); | |
| 5785 | 2096 else |
| 2097 { | |
| 2098 volatile int typ = mattype.type (); | |
| 2099 | |
| 2100 // Calculate the norm of the matrix, for later use. | |
| 2101 double anorm = -1.; | |
| 2102 | |
| 2103 if (typ == MatrixType::Hermitian) | |
| 2104 { | |
| 2105 info = 0; | |
| 2106 char job = 'L'; | |
| 2107 ComplexMatrix atmp = *this; | |
| 2108 Complex *tmp_data = atmp.fortran_vec (); | |
| 2109 anorm = atmp.abs().sum().row(static_cast<octave_idx_type>(0)).max(); | |
| 2110 | |
| 2111 F77_XFCN (zpotrf, ZPOTRF, (F77_CONST_CHAR_ARG2 (&job, 1), nr, | |
| 2112 tmp_data, nr, info | |
| 2113 F77_CHAR_ARG_LEN (1))); | |
| 2114 | |
|
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diff
changeset
|
2115 // Throw-away extra info LAPACK gives so as to not change output. |
| 7788 | 2116 rcon = 0.0; |
|
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diff
changeset
|
2117 if (info != 0) |
|
29980c6b8604
don't check f77_exception_encountered
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parents:
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diff
changeset
|
2118 { |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
2119 info = -2; |
|
29980c6b8604
don't check f77_exception_encountered
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parents:
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diff
changeset
|
2120 |
|
29980c6b8604
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diff
changeset
|
2121 mattype.mark_as_unsymmetric (); |
|
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don't check f77_exception_encountered
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diff
changeset
|
2122 typ = MatrixType::Full; |
|
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don't check f77_exception_encountered
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parents:
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diff
changeset
|
2123 } |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
2124 else |
| 5785 | 2125 { |
|
7482
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2126 if (calc_cond) |
| 5785 | 2127 { |
|
7482
29980c6b8604
don't check f77_exception_encountered
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parents:
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diff
changeset
|
2128 Array<Complex> z (2 * nc); |
|
29980c6b8604
don't check f77_exception_encountered
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parents:
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diff
changeset
|
2129 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
|
2130 Array<double> rz (nc); |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
2131 double *prz = rz.fortran_vec (); |
|
29980c6b8604
don't check f77_exception_encountered
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parents:
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diff
changeset
|
2132 |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
2133 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
|
2134 nr, tmp_data, nr, anorm, |
| 7788 | 2135 rcon, pz, prz, info |
|
7482
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2136 F77_CHAR_ARG_LEN (1))); |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2137 |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
2138 if (info != 0) |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2139 info = -2; |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2140 |
| 7788 | 2141 volatile double rcond_plus_one = rcon + 1.0; |
| 2142 | |
| 2143 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
|
2144 { |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2145 info = -2; |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2146 |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2147 if (sing_handler) |
| 7788 | 2148 sing_handler (rcon); |
|
7482
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2149 else |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2150 (*current_liboctave_error_handler) |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2151 ("matrix singular to machine precision, rcond = %g", |
| 7788 | 2152 rcon); |
|
7482
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2153 } |
|
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 |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2156 if (info == 0) |
|
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 retval = b; |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2159 Complex *result = retval.fortran_vec (); |
|
29980c6b8604
don't check f77_exception_encountered
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parents:
7478
diff
changeset
|
2160 |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
2161 octave_idx_type b_nc = b.cols (); |
|
29980c6b8604
don't check f77_exception_encountered
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parents:
7478
diff
changeset
|
2162 |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2163 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
|
2164 nr, b_nc, tmp_data, nr, |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2165 result, b.rows(), info |
|
29980c6b8604
don't check f77_exception_encountered
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parents:
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diff
changeset
|
2166 F77_CHAR_ARG_LEN (1))); |
|
29980c6b8604
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John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2167 } |
|
29980c6b8604
don't check f77_exception_encountered
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parents:
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diff
changeset
|
2168 else |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2169 { |
| 5785 | 2170 mattype.mark_as_unsymmetric (); |
| 2171 typ = MatrixType::Full; | |
| 2172 } | |
| 2173 } | |
| 2174 } | |
| 2175 | |
| 2176 if (typ == MatrixType::Full) | |
| 2177 { | |
| 2178 info = 0; | |
| 2179 | |
| 2180 Array<octave_idx_type> ipvt (nr); | |
| 2181 octave_idx_type *pipvt = ipvt.fortran_vec (); | |
| 2182 | |
| 2183 ComplexMatrix atmp = *this; | |
| 2184 Complex *tmp_data = atmp.fortran_vec (); | |
| 2185 | |
| 2186 Array<Complex> z (2 * nc); | |
| 2187 Complex *pz = z.fortran_vec (); | |
| 2188 Array<double> rz (2 * nc); | |
| 2189 double *prz = rz.fortran_vec (); | |
| 2190 | |
| 2191 // Calculate the norm of the matrix, for later use. | |
| 2192 if (anorm < 0.) | |
| 2193 anorm = atmp.abs().sum().row(static_cast<octave_idx_type>(0)).max(); | |
| 2194 | |
| 2195 F77_XFCN (zgetrf, ZGETRF, (nr, nr, tmp_data, nr, pipvt, info)); | |
| 2196 | |
|
7482
29980c6b8604
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parents:
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diff
changeset
|
2197 // Throw-away extra info LAPACK gives so as to not change output. |
| 7788 | 2198 rcon = 0.0; |
|
7482
29980c6b8604
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parents:
7478
diff
changeset
|
2199 if (info != 0) |
|
29980c6b8604
don't check f77_exception_encountered
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diff
changeset
|
2200 { |
|
29980c6b8604
don't check f77_exception_encountered
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parents:
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diff
changeset
|
2201 info = -2; |
|
29980c6b8604
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parents:
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diff
changeset
|
2202 |
|
29980c6b8604
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John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2203 if (sing_handler) |
| 7788 | 2204 sing_handler (rcon); |
|
7482
29980c6b8604
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parents:
7478
diff
changeset
|
2205 else |
|
29980c6b8604
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parents:
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diff
changeset
|
2206 (*current_liboctave_error_handler) |
|
29980c6b8604
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parents:
7478
diff
changeset
|
2207 ("matrix singular to machine precision"); |
|
29980c6b8604
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parents:
7478
diff
changeset
|
2208 |
|
29980c6b8604
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7478
diff
changeset
|
2209 mattype.mark_as_rectangular (); |
|
29980c6b8604
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diff
changeset
|
2210 } |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2211 else |
| 5785 | 2212 { |
|
7482
29980c6b8604
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parents:
7478
diff
changeset
|
2213 if (calc_cond) |
| 5785 | 2214 { |
|
7482
29980c6b8604
don't check f77_exception_encountered
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parents:
7478
diff
changeset
|
2215 // Now calculate the condition number for |
|
29980c6b8604
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parents:
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diff
changeset
|
2216 // non-singular matrix. |
|
29980c6b8604
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diff
changeset
|
2217 char job = '1'; |
|
29980c6b8604
don't check f77_exception_encountered
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diff
changeset
|
2218 F77_XFCN (zgecon, ZGECON, (F77_CONST_CHAR_ARG2 (&job, 1), |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
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7478
diff
changeset
|
2219 nc, tmp_data, nr, anorm, |
| 7788 | 2220 rcon, pz, prz, info |
|
7482
29980c6b8604
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John W. Eaton <jwe@octave.org>
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diff
changeset
|
2221 F77_CHAR_ARG_LEN (1))); |
|
29980c6b8604
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parents:
7478
diff
changeset
|
2222 |
|
29980c6b8604
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diff
changeset
|
2223 if (info != 0) |
|
29980c6b8604
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John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2224 info = -2; |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2225 |
| 7788 | 2226 volatile double rcond_plus_one = rcon + 1.0; |
| 2227 | |
| 2228 if (rcond_plus_one == 1.0 || xisnan (rcon)) | |
| 5785 | 2229 { |
|
7482
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2230 info = -2; |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2231 |
|
29980c6b8604
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John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2232 if (sing_handler) |
| 7788 | 2233 sing_handler (rcon); |
|
7482
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2234 else |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2235 (*current_liboctave_error_handler) |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2236 ("matrix singular to machine precision, rcond = %g", |
| 7788 | 2237 rcon); |
| 5785 | 2238 } |
| 2239 } | |
|
7482
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|
2240 |
|
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|
2241 if (info == 0) |
|
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|
2242 { |
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|
2243 retval = b; |
|
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changeset
|
2244 Complex *result = retval.fortran_vec (); |
|
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changeset
|
2245 |
|
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diff
changeset
|
2246 octave_idx_type b_nc = b.cols (); |
|
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changeset
|
2247 |
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|
2248 char job = 'N'; |
|
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diff
changeset
|
2249 F77_XFCN (zgetrs, ZGETRS, (F77_CONST_CHAR_ARG2 (&job, 1), |
|
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changeset
|
2250 nr, b_nc, tmp_data, nr, |
|
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changeset
|
2251 pipvt, result, b.rows(), info |
|
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|
2252 F77_CHAR_ARG_LEN (1))); |
|
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|
2253 } |
|
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|
2254 else |
|
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changeset
|
2255 mattype.mark_as_rectangular (); |
| 5785 | 2256 } |
| 2257 } | |
| 2258 } | |
| 2259 | |
| 2260 return retval; | |
| 2261 } | |
| 2262 | |
| 2263 ComplexMatrix | |
| 2264 ComplexMatrix::solve (MatrixType &typ, const Matrix& b) const | |
| 2265 { | |
| 2266 octave_idx_type info; | |
| 7788 | 2267 double rcon; |
| 2268 return solve (typ, b, info, rcon, 0); | |
| 5785 | 2269 } |
| 2270 | |
| 2271 ComplexMatrix | |
| 2272 ComplexMatrix::solve (MatrixType &typ, const Matrix& b, | |
| 2273 octave_idx_type& info) const | |
| 2274 { | |
| 7788 | 2275 double rcon; |
| 2276 return solve (typ, b, info, rcon, 0); | |
| 5785 | 2277 } |
| 2278 | |
| 2279 ComplexMatrix | |
| 2280 ComplexMatrix::solve (MatrixType &typ, const Matrix& b, octave_idx_type& info, | |
| 7788 | 2281 double& rcon) const |
| 5785 | 2282 { |
| 7788 | 2283 return solve (typ, b, info, rcon, 0); |
| 5785 | 2284 } |
| 2285 | |
| 2286 ComplexMatrix | |
| 2287 ComplexMatrix::solve (MatrixType &typ, const Matrix& b, octave_idx_type& info, | |
| 7788 | 2288 double& rcon, solve_singularity_handler sing_handler, |
| 5785 | 2289 bool singular_fallback) const |
| 2290 { | |
| 2291 ComplexMatrix tmp (b); | |
| 7788 | 2292 return solve (typ, tmp, info, rcon, sing_handler, singular_fallback); |
| 5785 | 2293 } |
| 2294 | |
| 2295 ComplexMatrix | |
| 2296 ComplexMatrix::solve (MatrixType &typ, const ComplexMatrix& b) const | |
| 2297 { | |
| 2298 octave_idx_type info; | |
| 7788 | 2299 double rcon; |
| 2300 return solve (typ, b, info, rcon, 0); | |
| 5785 | 2301 } |
| 2302 | |
| 2303 ComplexMatrix | |
| 2304 ComplexMatrix::solve (MatrixType &typ, const ComplexMatrix& b, | |
| 2305 octave_idx_type& info) const | |
| 2306 { | |
| 7788 | 2307 double rcon; |
| 2308 return solve (typ, b, info, rcon, 0); | |
| 5785 | 2309 } |
| 2310 | |
| 2311 ComplexMatrix | |
| 2312 ComplexMatrix::solve (MatrixType &typ, const ComplexMatrix& b, | |
| 7788 | 2313 octave_idx_type& info, double& rcon) const |
| 5785 | 2314 { |
| 7788 | 2315 return solve (typ, b, info, rcon, 0); |
| 5785 | 2316 } |
| 2317 | |
| 2318 ComplexMatrix | |
| 2319 ComplexMatrix::solve (MatrixType &mattype, const ComplexMatrix& b, | |
| 7788 | 2320 octave_idx_type& info, double& rcon, |
| 5785 | 2321 solve_singularity_handler sing_handler, |
| 2322 bool singular_fallback) const | |
| 2323 { | |
| 2324 ComplexMatrix retval; | |
| 2325 int typ = mattype.type (); | |
| 2326 | |
| 2327 if (typ == MatrixType::Unknown) | |
| 2328 typ = mattype.type (*this); | |
| 2329 | |
| 2330 // Only calculate the condition number for LU/Cholesky | |
| 2331 if (typ == MatrixType::Upper || typ == MatrixType::Permuted_Upper) | |
| 7788 | 2332 retval = utsolve (mattype, b, info, rcon, sing_handler, false); |
| 5785 | 2333 else if (typ == MatrixType::Lower || typ == MatrixType::Permuted_Lower) |
| 7788 | 2334 retval = ltsolve (mattype, b, info, rcon, sing_handler, false); |
| 5785 | 2335 else if (typ == MatrixType::Full || typ == MatrixType::Hermitian) |
| 7788 | 2336 retval = fsolve (mattype, b, info, rcon, sing_handler, true); |
| 5785 | 2337 else if (typ != MatrixType::Rectangular) |
| 2338 { | |
| 2339 (*current_liboctave_error_handler) ("unknown matrix type"); | |
| 2340 return ComplexMatrix (); | |
| 2341 } | |
| 2342 | |
| 2343 // Rectangular or one of the above solvers flags a singular matrix | |
| 2344 if (singular_fallback && mattype.type () == MatrixType::Rectangular) | |
| 2345 { | |
| 2346 octave_idx_type rank; | |
| 7788 | 2347 retval = lssolve (b, info, rank, rcon); |
| 5785 | 2348 } |
| 2349 | |
| 2350 return retval; | |
| 2351 } | |
| 2352 | |
| 2353 ComplexColumnVector | |
| 2354 ComplexMatrix::solve (MatrixType &typ, const ColumnVector& b) const | |
| 2355 { | |
| 2356 octave_idx_type info; | |
| 7788 | 2357 double rcon; |
| 2358 return solve (typ, ComplexColumnVector (b), info, rcon, 0); | |
| 5785 | 2359 } |
| 2360 | |
| 2361 ComplexColumnVector | |
| 2362 ComplexMatrix::solve (MatrixType &typ, const ColumnVector& b, | |
| 2363 octave_idx_type& info) const | |
| 2364 { | |
| 7788 | 2365 double rcon; |
| 2366 return solve (typ, ComplexColumnVector (b), info, rcon, 0); | |
| 5785 | 2367 } |
| 2368 | |
| 2369 ComplexColumnVector | |
| 2370 ComplexMatrix::solve (MatrixType &typ, const ColumnVector& b, | |
| 7788 | 2371 octave_idx_type& info, double& rcon) const |
| 5785 | 2372 { |
| 7788 | 2373 return solve (typ, ComplexColumnVector (b), info, rcon, 0); |
| 5785 | 2374 } |
| 2375 | |
| 2376 ComplexColumnVector | |
| 2377 ComplexMatrix::solve (MatrixType &typ, const ColumnVector& b, | |
| 7788 | 2378 octave_idx_type& info, double& rcon, |
| 5785 | 2379 solve_singularity_handler sing_handler) const |
| 2380 { | |
| 7788 | 2381 return solve (typ, ComplexColumnVector (b), info, rcon, sing_handler); |
| 5785 | 2382 } |
| 2383 | |
| 2384 ComplexColumnVector | |
| 2385 ComplexMatrix::solve (MatrixType &typ, const ComplexColumnVector& b) const | |
| 2386 { | |
| 2387 octave_idx_type info; | |
| 7788 | 2388 double rcon; |
| 2389 return solve (typ, b, info, rcon, 0); | |
| 5785 | 2390 } |
| 2391 | |
| 2392 ComplexColumnVector | |
| 2393 ComplexMatrix::solve (MatrixType &typ, const ComplexColumnVector& b, | |
| 2394 octave_idx_type& info) const | |
| 2395 { | |
| 7788 | 2396 double rcon; |
| 2397 return solve (typ, b, info, rcon, 0); | |
| 5785 | 2398 } |
| 2399 | |
| 2400 ComplexColumnVector | |
| 2401 ComplexMatrix::solve (MatrixType &typ, const ComplexColumnVector& b, | |
| 7788 | 2402 octave_idx_type& info, double& rcon) const |
| 5785 | 2403 { |
| 7788 | 2404 return solve (typ, b, info, rcon, 0); |
| 5785 | 2405 } |
| 2406 | |
| 2407 ComplexColumnVector | |
| 2408 ComplexMatrix::solve (MatrixType &typ, const ComplexColumnVector& b, | |
| 7788 | 2409 octave_idx_type& info, double& rcon, |
| 5785 | 2410 solve_singularity_handler sing_handler) const |
| 2411 { | |
| 2412 | |
| 2413 ComplexMatrix tmp (b); | |
| 7788 | 2414 return solve (typ, tmp, info, rcon, sing_handler).column(static_cast<octave_idx_type> (0)); |
| 5785 | 2415 } |
| 2416 | |
| 2417 ComplexMatrix | |
| 458 | 2418 ComplexMatrix::solve (const Matrix& b) const |
| 2419 { | |
| 5275 | 2420 octave_idx_type info; |
| 7788 | 2421 double rcon; |
| 2422 return solve (b, info, rcon, 0); | |
| 458 | 2423 } |
| 2424 | |
| 2425 ComplexMatrix | |
| 5275 | 2426 ComplexMatrix::solve (const Matrix& b, octave_idx_type& info) const |
| 458 | 2427 { |
| 7788 | 2428 double rcon; |
| 2429 return solve (b, info, rcon, 0); | |
| 458 | 2430 } |
| 2431 | |
| 2432 ComplexMatrix | |
| 7788 | 2433 ComplexMatrix::solve (const Matrix& b, octave_idx_type& info, double& rcon) const |
| 458 | 2434 { |
| 7788 | 2435 return solve (b, info, rcon, 0); |
| 3480 | 2436 } |
| 2437 | |
| 2438 ComplexMatrix | |
| 7788 | 2439 ComplexMatrix::solve (const Matrix& b, octave_idx_type& info, double& rcon, |
| 3480 | 2440 solve_singularity_handler sing_handler) const |
| 2441 { | |
| 458 | 2442 ComplexMatrix tmp (b); |
| 7788 | 2443 return solve (tmp, info, rcon, sing_handler); |
| 458 | 2444 } |
| 2445 | |
| 2446 ComplexMatrix | |
| 2447 ComplexMatrix::solve (const ComplexMatrix& b) const | |
| 2448 { | |
| 5275 | 2449 octave_idx_type info; |
| 7788 | 2450 double rcon; |
| 2451 return solve (b, info, rcon, 0); | |
| 458 | 2452 } |
| 2453 | |
| 2454 ComplexMatrix | |
| 5275 | 2455 ComplexMatrix::solve (const ComplexMatrix& b, octave_idx_type& info) const |
| 458 | 2456 { |
| 7788 | 2457 double rcon; |
| 2458 return solve (b, info, rcon, 0); | |
| 458 | 2459 } |
| 3480 | 2460 |
| 458 | 2461 ComplexMatrix |
| 7788 | 2462 ComplexMatrix::solve (const ComplexMatrix& b, octave_idx_type& info, double& rcon) const |
| 458 | 2463 { |
| 7788 | 2464 return solve (b, info, rcon, 0); |
| 3480 | 2465 } |
| 2466 | |
| 2467 ComplexMatrix | |
| 7788 | 2468 ComplexMatrix::solve (const ComplexMatrix& b, octave_idx_type& info, double& rcon, |
| 3480 | 2469 solve_singularity_handler sing_handler) const |
| 2470 { | |
| 5785 | 2471 MatrixType mattype (*this); |
| 7788 | 2472 return solve (mattype, b, info, rcon, sing_handler); |
| 458 | 2473 } |
| 2474 | |
| 2475 ComplexColumnVector | |
| 3585 | 2476 ComplexMatrix::solve (const ColumnVector& b) const |
| 2477 { | |
| 5275 | 2478 octave_idx_type info; |
| 7788 | 2479 double rcon; |
| 2480 return solve (ComplexColumnVector (b), info, rcon, 0); | |
| 3585 | 2481 } |
| 2482 | |
| 2483 ComplexColumnVector | |
| 5275 | 2484 ComplexMatrix::solve (const ColumnVector& b, octave_idx_type& info) const |
| 3585 | 2485 { |
| 7788 | 2486 double rcon; |
| 2487 return solve (ComplexColumnVector (b), info, rcon, 0); | |
| 3585 | 2488 } |
| 2489 | |
| 2490 ComplexColumnVector | |
| 5785 | 2491 ComplexMatrix::solve (const ColumnVector& b, octave_idx_type& info, |
| 7788 | 2492 double& rcon) const |
| 3585 | 2493 { |
| 7788 | 2494 return solve (ComplexColumnVector (b), info, rcon, 0); |
| 3585 | 2495 } |
| 2496 | |
| 2497 ComplexColumnVector | |
| 5785 | 2498 ComplexMatrix::solve (const ColumnVector& b, octave_idx_type& info, |
| 7788 | 2499 double& rcon, |
| 3585 | 2500 solve_singularity_handler sing_handler) const |
| 2501 { | |
| 7788 | 2502 return solve (ComplexColumnVector (b), info, rcon, sing_handler); |
| 3585 | 2503 } |
| 2504 | |
| 2505 ComplexColumnVector | |
| 458 | 2506 ComplexMatrix::solve (const ComplexColumnVector& b) const |
| 2507 { | |
| 5275 | 2508 octave_idx_type info; |
| 7788 | 2509 double rcon; |
| 2510 return solve (b, info, rcon, 0); | |
| 458 | 2511 } |
| 2512 | |
| 2513 ComplexColumnVector | |
| 5275 | 2514 ComplexMatrix::solve (const ComplexColumnVector& b, octave_idx_type& info) const |
| 458 | 2515 { |
| 7788 | 2516 double rcon; |
| 2517 return solve (b, info, rcon, 0); | |
| 458 | 2518 } |
| 2519 | |
| 2520 ComplexColumnVector | |
| 5275 | 2521 ComplexMatrix::solve (const ComplexColumnVector& b, octave_idx_type& info, |
| 7788 | 2522 double& rcon) const |
| 458 | 2523 { |
| 7788 | 2524 return solve (b, info, rcon, 0); |
| 3480 | 2525 } |
| 2526 | |
| 2527 ComplexColumnVector | |
| 5275 | 2528 ComplexMatrix::solve (const ComplexColumnVector& b, octave_idx_type& info, |
| 7788 | 2529 double& rcon, |
| 3480 | 2530 solve_singularity_handler sing_handler) const |
| 2531 { | |
| 5785 | 2532 MatrixType mattype (*this); |
| 7788 | 2533 return solve (mattype, b, info, rcon, sing_handler); |
| 458 | 2534 } |
| 2535 | |
| 2536 ComplexMatrix | |
| 3585 | 2537 ComplexMatrix::lssolve (const Matrix& b) const |
| 2538 { | |
| 5275 | 2539 octave_idx_type info; |
| 2540 octave_idx_type rank; | |
| 7788 | 2541 double rcon; |
| 2542 return lssolve (ComplexMatrix (b), info, rank, rcon); | |
| 3585 | 2543 } |
| 2544 | |
| 2545 ComplexMatrix | |
| 5275 | 2546 ComplexMatrix::lssolve (const Matrix& b, octave_idx_type& info) const |
| 3585 | 2547 { |
| 5275 | 2548 octave_idx_type rank; |
| 7788 | 2549 double rcon; |
| 2550 return lssolve (ComplexMatrix (b), info, rank, rcon); | |
| 3585 | 2551 } |
| 2552 | |
| 2553 ComplexMatrix | |
| 7076 | 2554 ComplexMatrix::lssolve (const Matrix& b, octave_idx_type& info, |
| 2555 octave_idx_type& rank) const | |
| 3585 | 2556 { |
| 7788 | 2557 double rcon; |
| 2558 return lssolve (ComplexMatrix (b), info, rank, rcon); | |
| 7076 | 2559 } |
| 2560 | |
| 2561 ComplexMatrix | |
| 2562 ComplexMatrix::lssolve (const Matrix& b, octave_idx_type& info, | |
| 7788 | 2563 octave_idx_type& rank, double& rcon) const |
| 7076 | 2564 { |
| 7788 | 2565 return lssolve (ComplexMatrix (b), info, rank, rcon); |
| 3585 | 2566 } |
| 2567 | |
| 2568 ComplexMatrix | |
| 458 | 2569 ComplexMatrix::lssolve (const ComplexMatrix& b) const |
| 2570 { | |
| 5275 | 2571 octave_idx_type info; |
| 2572 octave_idx_type rank; | |
| 7788 | 2573 double rcon; |
| 2574 return lssolve (b, info, rank, rcon); | |
| 458 | 2575 } |
| 2576 | |
| 2577 ComplexMatrix | |
| 5275 | 2578 ComplexMatrix::lssolve (const ComplexMatrix& b, octave_idx_type& info) const |
| 458 | 2579 { |
| 5275 | 2580 octave_idx_type rank; |
| 7788 | 2581 double rcon; |
| 2582 return lssolve (b, info, rank, rcon); | |
| 458 | 2583 } |
| 2584 | |
| 2585 ComplexMatrix | |
| 7076 | 2586 ComplexMatrix::lssolve (const ComplexMatrix& b, octave_idx_type& info, |
| 2587 octave_idx_type& rank) const | |
| 2588 { | |
| 7788 | 2589 double rcon; |
| 2590 return lssolve (b, info, rank, rcon); | |
| 7076 | 2591 } |
| 2592 | |
| 2593 ComplexMatrix | |
| 2594 ComplexMatrix::lssolve (const ComplexMatrix& b, octave_idx_type& info, | |
| 7788 | 2595 octave_idx_type& rank, double& rcon) const |
| 458 | 2596 { |
| 1948 | 2597 ComplexMatrix retval; |
| 2598 | |
| 5275 | 2599 octave_idx_type nrhs = b.cols (); |
| 2600 | |
| 2601 octave_idx_type m = rows (); | |
| 2602 octave_idx_type n = cols (); | |
| 458 | 2603 |
| 6924 | 2604 if (m != b.rows ()) |
| 1948 | 2605 (*current_liboctave_error_handler) |
| 2606 ("matrix dimension mismatch solution of linear equations"); | |
| 6924 | 2607 else if (m== 0 || n == 0 || b.cols () == 0) |
| 2608 retval = ComplexMatrix (n, b.cols (), Complex (0.0, 0.0)); | |
| 1948 | 2609 else |
| 458 | 2610 { |
| 7072 | 2611 volatile octave_idx_type minmn = (m < n ? m : n); |
| 2612 octave_idx_type maxmn = m > n ? m : n; | |
| 7788 | 2613 rcon = -1.0; |
| 7072 | 2614 |
| 2615 if (m != n) | |
| 2616 { | |
| 2617 retval = ComplexMatrix (maxmn, nrhs); | |
| 2618 | |
| 2619 for (octave_idx_type j = 0; j < nrhs; j++) | |
| 2620 for (octave_idx_type i = 0; i < m; i++) | |
| 2621 retval.elem (i, j) = b.elem (i, j); | |
| 2622 } | |
| 2623 else | |
| 2624 retval = b; | |
| 2625 | |
| 1948 | 2626 ComplexMatrix atmp = *this; |
| 2627 Complex *tmp_data = atmp.fortran_vec (); | |
| 2628 | |
| 7072 | 2629 Complex *pretval = retval.fortran_vec (); |
| 2630 Array<double> s (minmn); | |
| 7071 | 2631 double *ps = s.fortran_vec (); |
| 2563 | 2632 |
| 7072 | 2633 // Ask ZGELSD what the dimension of WORK should be. |
| 5275 | 2634 octave_idx_type lwork = -1; |
| 3752 | 2635 |
| 2636 Array<Complex> work (1); | |
| 7079 | 2637 |
| 7477 | 2638 octave_idx_type smlsiz; |
| 2639 F77_FUNC (xilaenv, XILAENV) (9, F77_CONST_CHAR_ARG2 ("ZGELSD", 6), | |
| 2640 F77_CONST_CHAR_ARG2 (" ", 1), | |
| 7478 | 2641 0, 0, 0, 0, smlsiz |
| 7477 | 2642 F77_CHAR_ARG_LEN (6) |
| 7478 | 2643 F77_CHAR_ARG_LEN (1)); |
| 7079 | 2644 |
|
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2645 octave_idx_type mnthr; |
|
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2646 F77_FUNC (xilaenv, XILAENV) (6, F77_CONST_CHAR_ARG2 ("ZGELSD", 6), |
|
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2647 F77_CONST_CHAR_ARG2 (" ", 1), |
|
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|
2648 m, n, nrhs, -1, mnthr |
|
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2649 F77_CHAR_ARG_LEN (6) |
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2650 F77_CHAR_ARG_LEN (1)); |
|
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|
2651 |
| 7079 | 2652 // We compute the size of rwork and iwork because ZGELSD in |
| 2653 // older versions of LAPACK does not return them on a query | |
| 2654 // call. | |
| 7124 | 2655 double dminmn = static_cast<double> (minmn); |
| 2656 double dsmlsizp1 = static_cast<double> (smlsiz+1); | |
| 7079 | 2657 #if defined (HAVE_LOG2) |
|
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2658 double tmp = log2 (dminmn / dsmlsizp1); |
| 7079 | 2659 #else |
|
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|
2660 double tmp = log (dminmn / dsmlsizp1) / log (2.0); |
| 7079 | 2661 #endif |
|
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|
2662 octave_idx_type nlvl = static_cast<octave_idx_type> (tmp) + 1; |
| 7079 | 2663 if (nlvl < 0) |
| 2664 nlvl = 0; | |
| 2665 | |
| 2666 octave_idx_type lrwork = minmn*(10 + 2*smlsiz + 8*nlvl) | |
| 2667 + 3*smlsiz*nrhs + (smlsiz+1)*(smlsiz+1); | |
| 2668 if (lrwork < 1) | |
| 2669 lrwork = 1; | |
| 2670 Array<double> rwork (lrwork); | |
| 2671 double *prwork = rwork.fortran_vec (); | |
| 2672 | |
| 2673 octave_idx_type liwork = 3 * minmn * nlvl + 11 * minmn; | |
| 2674 if (liwork < 1) | |
| 2675 liwork = 1; | |
| 2676 Array<octave_idx_type> iwork (liwork); | |
| 2677 octave_idx_type* piwork = iwork.fortran_vec (); | |
| 7072 | 2678 |
| 2679 F77_XFCN (zgelsd, ZGELSD, (m, n, nrhs, tmp_data, m, pretval, maxmn, | |
| 7788 | 2680 ps, rcon, rank, work.fortran_vec (), |
| 7079 | 2681 lwork, prwork, piwork, info)); |
| 1948 | 2682 |
| 7476 | 2683 // The workspace query is broken in at least LAPACK 3.0.0 |
|
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|
2684 // through 3.1.1 when n >= mnthr. The obtuse formula below |
|
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|
2685 // should provide sufficient workspace for ZGELSD to operate |
| 7476 | 2686 // efficiently. |
|
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diff
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|
2687 if (n >= mnthr) |
| 7476 | 2688 { |
| 2689 octave_idx_type addend = m; | |
| 2690 | |
| 2691 if (2*m-4 > addend) | |
| 2692 addend = 2*m-4; | |
| 2693 | |
| 2694 if (nrhs > addend) | |
| 2695 addend = nrhs; | |
| 2696 | |
| 2697 if (n-3*m > addend) | |
| 2698 addend = n-3*m; | |
| 2699 | |
| 2700 const octave_idx_type lworkaround = 4*m + m*m + addend; | |
| 2701 | |
| 2702 if (std::real (work(0)) < lworkaround) | |
| 2703 work(0) = lworkaround; | |
| 2704 } | |
|
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|
2705 else if (m >= n) |
|
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|
2706 { |
|
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|
2707 octave_idx_type lworkaround = 2*m + m*nrhs; |
|
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|
2708 |
|
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|
2709 if (std::real (work(0)) < lworkaround) |
|
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|
2710 work(0) = lworkaround; |
|
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|
2711 } |
| 7476 | 2712 |
|
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|
2713 lwork = static_cast<octave_idx_type> (std::real (work(0))); |
|
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|
2714 work.resize (lwork); |
|
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|
2715 |
|
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changeset
|
2716 F77_XFCN (zgelsd, ZGELSD, (m, n, nrhs, tmp_data, m, pretval, |
| 7788 | 2717 maxmn, ps, rcon, rank, |
|
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|
2718 work.fortran_vec (), lwork, |
|
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|
2719 prwork, piwork, info)); |
|
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|
2720 |
|
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|
2721 if (rank < minmn) |
|
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|
2722 (*current_liboctave_warning_handler) |
|
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|
2723 ("zgelsd: rank deficient %dx%d matrix, rank = %d, tol = %e", |
| 7788 | 2724 m, n, rank, rcon); |
|
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|
2725 |
|
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|
2726 if (s.elem (0) == 0.0) |
| 7788 | 2727 rcon = 0.0; |
| 1948 | 2728 else |
| 7788 | 2729 rcon = s.elem (minmn - 1) / s.elem (0); |
|
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|
2730 |
|
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|
2731 retval.resize (n, nrhs); |
| 458 | 2732 } |
| 2733 | |
| 2734 return retval; | |
| 2735 } | |
| 2736 | |
| 2737 ComplexColumnVector | |
| 3585 | 2738 ComplexMatrix::lssolve (const ColumnVector& b) const |
| 2739 { | |
| 5275 | 2740 octave_idx_type info; |
| 2741 octave_idx_type rank; | |
| 7788 | 2742 double rcon; |
| 2743 return lssolve (ComplexColumnVector (b), info, rank, rcon); | |
| 3585 | 2744 } |
| 2745 | |
| 2746 ComplexColumnVector | |
| 5275 | 2747 ComplexMatrix::lssolve (const ColumnVector& b, octave_idx_type& info) const |
| 3585 | 2748 { |
| 5275 | 2749 octave_idx_type rank; |
| 7788 | 2750 double rcon; |
| 2751 return lssolve (ComplexColumnVector (b), info, rank, rcon); | |
| 3585 | 2752 } |
| 2753 | |
| 2754 ComplexColumnVector | |
| 7076 | 2755 ComplexMatrix::lssolve (const ColumnVector& b, octave_idx_type& info, |
| 2756 octave_idx_type& rank) const | |
| 3585 | 2757 { |
| 7788 | 2758 double rcon; |
| 2759 return lssolve (ComplexColumnVector (b), info, rank, rcon); | |
| 7076 | 2760 } |
| 2761 | |
| 2762 ComplexColumnVector | |
| 2763 ComplexMatrix::lssolve (const ColumnVector& b, octave_idx_type& info, | |
| 7788 | 2764 octave_idx_type& rank, double& rcon) const |
| 7076 | 2765 { |
| 7788 | 2766 return lssolve (ComplexColumnVector (b), info, rank, rcon); |
| 3585 | 2767 } |
| 2768 | |
| 2769 ComplexColumnVector | |
| 458 | 2770 ComplexMatrix::lssolve (const ComplexColumnVector& b) const |
| 2771 { | |
| 5275 | 2772 octave_idx_type info; |
| 2773 octave_idx_type rank; | |
| 7788 | 2774 double rcon; |
| 2775 return lssolve (b, info, rank, rcon); | |
| 458 | 2776 } |
| 2777 | |
| 2778 ComplexColumnVector | |
| 5275 | 2779 ComplexMatrix::lssolve (const ComplexColumnVector& b, octave_idx_type& info) const |
| 458 | 2780 { |
| 5275 | 2781 octave_idx_type rank; |
| 7788 | 2782 double rcon; |
| 2783 return lssolve (b, info, rank, rcon); | |
| 458 | 2784 } |
| 2785 | |
| 2786 ComplexColumnVector | |
| 5275 | 2787 ComplexMatrix::lssolve (const ComplexColumnVector& b, octave_idx_type& info, |
| 2788 octave_idx_type& rank) const | |
| 458 | 2789 { |
| 7788 | 2790 double rcon; |
| 2791 return lssolve (b, info, rank, rcon); | |
| 7076 | 2792 |
| 2793 } | |
| 2794 | |
| 2795 ComplexColumnVector | |
| 2796 ComplexMatrix::lssolve (const ComplexColumnVector& b, octave_idx_type& info, | |
| 7788 | 2797 octave_idx_type& rank, double& rcon) const |
| 7076 | 2798 { |
| 1948 | 2799 ComplexColumnVector retval; |
| 2800 | |
| 5275 | 2801 octave_idx_type nrhs = 1; |
| 2802 | |
| 2803 octave_idx_type m = rows (); | |
| 2804 octave_idx_type n = cols (); | |
| 458 | 2805 |
| 6924 | 2806 if (m != b.length ()) |
| 1948 | 2807 (*current_liboctave_error_handler) |
| 6924 | 2808 ("matrix dimension mismatch solution of linear equations"); |
| 2809 else if (m == 0 || n == 0 || b.cols () == 0) | |
| 2810 retval = ComplexColumnVector (n, Complex (0.0, 0.0)); | |
| 1948 | 2811 else |
| 458 | 2812 { |
| 7072 | 2813 volatile octave_idx_type minmn = (m < n ? m : n); |
| 2814 octave_idx_type maxmn = m > n ? m : n; | |
| 7788 | 2815 rcon = -1.0; |
| 7072 | 2816 |
| 2817 if (m != n) | |
| 2818 { | |
| 2819 retval = ComplexColumnVector (maxmn); | |
| 2820 | |
| 2821 for (octave_idx_type i = 0; i < m; i++) | |
| 2822 retval.elem (i) = b.elem (i); | |
| 2823 } | |
| 2824 else | |
| 2825 retval = b; | |
| 2826 | |
| 1948 | 2827 ComplexMatrix atmp = *this; |
| 2828 Complex *tmp_data = atmp.fortran_vec (); | |
| 2829 | |
| 7072 | 2830 Complex *pretval = retval.fortran_vec (); |
| 2831 Array<double> s (minmn); | |
| 7071 | 2832 double *ps = s.fortran_vec (); |
| 1948 | 2833 |
| 7072 | 2834 // Ask ZGELSD what the dimension of WORK should be. |
| 5275 | 2835 octave_idx_type lwork = -1; |
| 3752 | 2836 |
| 2837 Array<Complex> work (1); | |
| 7079 | 2838 |
|
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|
2839 octave_idx_type smlsiz; |
|
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diff
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|
2840 F77_FUNC (xilaenv, XILAENV) (9, F77_CONST_CHAR_ARG2 ("ZGELSD", 6), |
|
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|
2841 F77_CONST_CHAR_ARG2 (" ", 1), |
|
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|
2842 0, 0, 0, 0, smlsiz |
|
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|
2843 F77_CHAR_ARG_LEN (6) |
|
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diff
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|
2844 F77_CHAR_ARG_LEN (1)); |
| 7079 | 2845 |
| 2846 // We compute the size of rwork and iwork because ZGELSD in | |
| 2847 // older versions of LAPACK does not return them on a query | |
| 2848 // call. | |
| 7124 | 2849 double dminmn = static_cast<double> (minmn); |
| 2850 double dsmlsizp1 = static_cast<double> (smlsiz+1); | |
| 7079 | 2851 #if defined (HAVE_LOG2) |
|
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|
2852 double tmp = log2 (dminmn / dsmlsizp1); |
| 7079 | 2853 #else |
|
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|
2854 double tmp = log (dminmn / dsmlsizp1) / log (2.0); |
| 7079 | 2855 #endif |
|
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|
2856 octave_idx_type nlvl = static_cast<octave_idx_type> (tmp) + 1; |
| 7079 | 2857 if (nlvl < 0) |
| 2858 nlvl = 0; | |
| 2859 | |
| 2860 octave_idx_type lrwork = minmn*(10 + 2*smlsiz + 8*nlvl) | |
| 2861 + 3*smlsiz*nrhs + (smlsiz+1)*(smlsiz+1); | |
| 2862 if (lrwork < 1) | |
| 2863 lrwork = 1; | |
| 2864 Array<double> rwork (lrwork); | |
| 2865 double *prwork = rwork.fortran_vec (); | |
| 2866 | |
| 2867 octave_idx_type liwork = 3 * minmn * nlvl + 11 * minmn; | |
| 2868 if (liwork < 1) | |
| 2869 liwork = 1; | |
| 2870 Array<octave_idx_type> iwork (liwork); | |
| 2871 octave_idx_type* piwork = iwork.fortran_vec (); | |
| 7072 | 2872 |
| 2873 F77_XFCN (zgelsd, ZGELSD, (m, n, nrhs, tmp_data, m, pretval, maxmn, | |
| 7788 | 2874 ps, rcon, rank, work.fortran_vec (), |
| 7079 | 2875 lwork, prwork, piwork, info)); |
| 1948 | 2876 |
|
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|
2877 lwork = static_cast<octave_idx_type> (std::real (work(0))); |
|
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|
2878 work.resize (lwork); |
|
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diff
changeset
|
2879 rwork.resize (static_cast<octave_idx_type> (rwork(0))); |
|
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changeset
|
2880 iwork.resize (iwork(0)); |
|
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diff
changeset
|
2881 |
|
29980c6b8604
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7478
diff
changeset
|
2882 F77_XFCN (zgelsd, ZGELSD, (m, n, nrhs, tmp_data, m, pretval, |
| 7788 | 2883 maxmn, ps, rcon, rank, |
|
7482
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diff
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|
2884 work.fortran_vec (), lwork, |
|
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diff
changeset
|
2885 prwork, piwork, info)); |
|
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diff
changeset
|
2886 |
|
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|
2887 if (rank < minmn) |
| 1948 | 2888 { |
|
7482
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changeset
|
2889 if (rank < minmn) |
|
29980c6b8604
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diff
changeset
|
2890 (*current_liboctave_warning_handler) |
|
29980c6b8604
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7478
diff
changeset
|
2891 ("zgelsd: rank deficient %dx%d matrix, rank = %d, tol = %e", |
| 7788 | 2892 m, n, rank, rcon); |
|
7482
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|
2893 |
|
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diff
changeset
|
2894 if (s.elem (0) == 0.0) |
| 7788 | 2895 rcon = 0.0; |
|
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diff
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|
2896 else |
| 7788 | 2897 rcon = s.elem (minmn - 1) / s.elem (0); |
|
7482
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|
2898 |
|
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|
2899 retval.resize (n, nrhs); |
| 1948 | 2900 } |
| 458 | 2901 } |
| 2902 | |
| 2903 return retval; | |
| 2904 } | |
| 2905 | |
| 1819 | 2906 // Constants for matrix exponential calculation. |
| 2907 | |
| 2908 static double padec [] = | |
| 2909 { | |
| 2910 5.0000000000000000e-1, | |
| 2911 1.1666666666666667e-1, | |
| 2912 1.6666666666666667e-2, | |
| 2913 1.6025641025641026e-3, | |
| 2914 1.0683760683760684e-4, | |
| 2915 4.8562548562548563e-6, | |
| 2916 1.3875013875013875e-7, | |
| 2917 1.9270852604185938e-9, | |
| 2918 }; | |
| 2919 | |
| 7400 | 2920 static void |
| 7788 | 2921 solve_singularity_warning (double rcon) |
| 7400 | 2922 { |
| 2923 (*current_liboctave_warning_handler) | |
| 2924 ("singular matrix encountered in expm calculation, rcond = %g", | |
| 7788 | 2925 rcon); |
| 7400 | 2926 } |
| 2927 | |
| 1819 | 2928 ComplexMatrix |
| 2929 ComplexMatrix::expm (void) const | |
| 2930 { | |
| 2931 ComplexMatrix retval; | |
| 2932 | |
| 2933 ComplexMatrix m = *this; | |
| 2934 | |
| 5275 | 2935 octave_idx_type nc = columns (); |
| 1819 | 2936 |
| 3130 | 2937 // Preconditioning step 1: trace normalization to reduce dynamic |
| 2938 // range of poles, but avoid making stable eigenvalues unstable. | |
| 2939 | |
| 1819 | 2940 // trace shift value |
| 2941 Complex trshift = 0.0; | |
| 2942 | |
| 5275 | 2943 for (octave_idx_type i = 0; i < nc; i++) |
| 1819 | 2944 trshift += m.elem (i, i); |
| 2945 | |
| 2946 trshift /= nc; | |
| 2947 | |
| 3130 | 2948 if (trshift.real () < 0.0) |
| 6958 | 2949 { |
| 2950 trshift = trshift.imag (); | |
| 2951 if (trshift.real () > 709.0) | |
| 2952 trshift = 709.0; | |
| 2953 } | |
| 3130 | 2954 |
| 5275 | 2955 for (octave_idx_type i = 0; i < nc; i++) |
| 1819 | 2956 m.elem (i, i) -= trshift; |
| 2957 | |
| 2958 // Preconditioning step 2: eigenvalue balancing. | |
| 3331 | 2959 // code follows development in AEPBAL |
| 2960 | |
| 2961 Complex *mp = m.fortran_vec (); | |
| 3467 | 2962 |
| 5275 | 2963 octave_idx_type info, ilo, ihi,ilos,ihis; |
| 3468 | 2964 Array<double> dpermute (nc); |
| 2965 Array<double> dscale (nc); | |
| 2966 | |
| 5775 | 2967 // FIXME -- should pass job as a parameter in expm |
| 3468 | 2968 |
| 2969 // Permute first | |
| 2970 char job = 'P'; | |
| 4552 | 2971 F77_XFCN (zgebal, ZGEBAL, (F77_CONST_CHAR_ARG2 (&job, 1), |
| 2972 nc, mp, nc, ilo, ihi, | |
| 2973 dpermute.fortran_vec (), info | |
| 2974 F77_CHAR_ARG_LEN (1))); | |
| 3331 | 2975 |
| 3468 | 2976 // then scale |
| 2977 job = 'S'; | |
| 4552 | 2978 F77_XFCN (zgebal, ZGEBAL, (F77_CONST_CHAR_ARG2 (&job, 1), |
| 2979 nc, mp, nc, ilos, ihis, | |
| 2980 dscale.fortran_vec (), info | |
| 2981 F77_CHAR_ARG_LEN (1))); | |
| 3331 | 2982 |
| 1819 | 2983 // Preconditioning step 3: scaling. |
| 2984 | |
| 2985 ColumnVector work (nc); | |
| 3130 | 2986 double inf_norm; |
| 2987 | |
| 4552 | 2988 F77_XFCN (xzlange, XZLANGE, (F77_CONST_CHAR_ARG2 ("I", 1), |
| 2989 nc, nc, m.fortran_vec (), nc, | |
| 2990 work.fortran_vec (), inf_norm | |
| 2991 F77_CHAR_ARG_LEN (1))); | |
| 3331 | 2992 |
| 2800 | 2993 int sqpow = (inf_norm > 0.0 |
| 2994 ? static_cast<int> (1.0 + log (inf_norm) / log (2.0)) : 0); | |
| 1819 | 2995 |
| 2996 // Check whether we need to square at all. | |
| 2997 | |
| 2998 if (sqpow < 0) | |
| 2999 sqpow = 0; | |
| 3000 | |
| 3001 if (sqpow > 0) | |
| 3002 { | |
| 7400 | 3003 if (sqpow > 1023) |
| 3004 sqpow = 1023; | |
| 3005 | |
| 1819 | 3006 double scale_factor = 1.0; |
| 5275 | 3007 for (octave_idx_type i = 0; i < sqpow; i++) |
| 1819 | 3008 scale_factor *= 2.0; |
| 3009 | |
| 3010 m = m / scale_factor; | |
| 3011 } | |
| 3012 | |
| 3013 // npp, dpp: pade' approx polynomial matrices. | |
| 3014 | |
| 3015 ComplexMatrix npp (nc, nc, 0.0); | |
| 6958 | 3016 Complex *pnpp = npp.fortran_vec (); |
| 1819 | 3017 ComplexMatrix dpp = npp; |
| 6958 | 3018 Complex *pdpp = dpp.fortran_vec (); |
| 1819 | 3019 |
| 3020 // Now powers a^8 ... a^1. | |
| 3021 | |
| 3022 int minus_one_j = -1; | |
| 5275 | 3023 for (octave_idx_type j = 7; j >= 0; j--) |
| 1819 | 3024 { |
| 6958 | 3025 for (octave_idx_type i = 0; i < nc; i++) |
| 3026 { | |
| 3027 octave_idx_type k = i * nc + i; | |
| 7265 | 3028 pnpp[k] += padec[j]; |
| 3029 pdpp[k] += minus_one_j * padec[j]; | |
| 6958 | 3030 } |
| 7265 | 3031 |
| 6958 | 3032 npp = m * npp; |
| 7265 | 3033 pnpp = npp.fortran_vec (); |
| 3034 | |
| 6958 | 3035 dpp = m * dpp; |
| 7265 | 3036 pdpp = dpp.fortran_vec (); |
| 3037 | |
| 1819 | 3038 minus_one_j *= -1; |
| 3039 } | |
| 3040 | |
| 3041 // Zero power. | |
| 3042 | |
| 3043 dpp = -dpp; | |
| 5275 | 3044 for (octave_idx_type j = 0; j < nc; j++) |
| 1819 | 3045 { |
| 3046 npp.elem (j, j) += 1.0; | |
| 3047 dpp.elem (j, j) += 1.0; | |
| 3048 } | |
| 3049 | |
| 3050 // Compute pade approximation = inverse (dpp) * npp. | |
| 3051 | |
| 7788 | 3052 double rcon; |
| 3053 retval = dpp.solve (npp, info, rcon, solve_singularity_warning); | |
| 7400 | 3054 |
| 3055 if (info < 0) | |
| 3056 return retval; | |
| 3057 | |
| 1819 | 3058 // Reverse preconditioning step 3: repeated squaring. |
| 3059 | |
| 3060 while (sqpow) | |
| 3061 { | |
| 3062 retval = retval * retval; | |
| 3063 sqpow--; | |
| 3064 } | |
| 3065 | |
| 3066 // Reverse preconditioning step 2: inverse balancing. | |
| 3467 | 3067 // Done in two steps: inverse scaling, then inverse permutation |
| 3068 | |
| 3069 // inverse scaling (diagonal transformation) | |
| 5275 | 3070 for (octave_idx_type i = 0; i < nc; i++) |
| 3071 for (octave_idx_type j = 0; j < nc; j++) | |
|
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|
3072 retval(i,j) *= dscale(i) / dscale(j); |
| 3467 | 3073 |
| 4153 | 3074 OCTAVE_QUIT; |
| 3075 | |
| 3467 | 3076 // construct balancing permutation vector |
| 6867 | 3077 Array<octave_idx_type> iperm (nc); |
| 5275 | 3078 for (octave_idx_type i = 0; i < nc; i++) |
|
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|
3079 iperm(i) = i; // identity permutation |
|
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|
3080 |
|
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diff
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|
3081 // trailing permutations must be done in reverse order |
|
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|
3082 for (octave_idx_type i = nc - 1; i >= ihi; i--) |
|
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diff
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|
3083 { |
|
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parents:
7922
diff
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|
3084 octave_idx_type swapidx = static_cast<octave_idx_type> (dpermute(i)) - 1; |
|
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parents:
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diff
changeset
|
3085 octave_idx_type tmp = iperm(i); |
|
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diff
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|
3086 iperm(i) = iperm(swapidx); |
|
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Jaroslav Hajek <highegg@gmail.com>
parents:
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diff
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|
3087 iperm(swapidx) = tmp; |
|
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Jaroslav Hajek <highegg@gmail.com>
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diff
changeset
|
3088 } |
| 3467 | 3089 |
| 3090 // leading permutations in forward order | |
| 5275 | 3091 for (octave_idx_type i = 0; i < (ilo-1); i++) |
| 3468 | 3092 { |
| 6867 | 3093 octave_idx_type swapidx = static_cast<octave_idx_type> (dpermute(i)) - 1; |
| 5275 | 3094 octave_idx_type tmp = iperm(i); |
|
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|
3095 iperm(i) = iperm (swapidx); |
| 4593 | 3096 iperm(swapidx) = tmp; |
| 3468 | 3097 } |
| 3467 | 3098 |
| 7416 | 3099 // construct inverse balancing permutation vector |
| 3100 Array<octave_idx_type> invpvec (nc); | |
| 3101 for (octave_idx_type i = 0; i < nc; i++) | |
| 3102 invpvec(iperm(i)) = i; // Thanks to R. A. Lippert for this method | |
| 3103 | |
| 3104 OCTAVE_QUIT; | |
| 3105 | |
| 3106 ComplexMatrix tmpMat = retval; | |
| 3107 for (octave_idx_type i = 0; i < nc; i++) | |
| 3108 for (octave_idx_type j = 0; j < nc; j++) | |
| 3109 retval(i,j) = tmpMat(invpvec(i),invpvec(j)); | |
| 3110 | |
|
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|
3111 // Reverse preconditioning step 1: fix trace normalization. |
| 1819 | 3112 |
| 3130 | 3113 return exp (trshift) * retval; |
| 1819 | 3114 } |
| 3115 | |
| 1205 | 3116 // column vector by row vector -> matrix operations |
| 3117 | |
| 3118 ComplexMatrix | |
| 3119 operator * (const ColumnVector& v, const ComplexRowVector& a) | |
| 3120 { | |
| 3121 ComplexColumnVector tmp (v); | |
| 3122 return tmp * a; | |
| 3123 } | |
| 3124 | |
| 3125 ComplexMatrix | |
| 3126 operator * (const ComplexColumnVector& a, const RowVector& b) | |
| 3127 { | |
| 3128 ComplexRowVector tmp (b); | |
| 3129 return a * tmp; | |
| 3130 } | |
| 3131 | |
| 3132 ComplexMatrix | |
| 3133 operator * (const ComplexColumnVector& v, const ComplexRowVector& a) | |
| 3134 { | |
| 1948 | 3135 ComplexMatrix retval; |
| 3136 | |
| 5275 | 3137 octave_idx_type len = v.length (); |
| 3233 | 3138 |
| 3139 if (len != 0) | |
| 1205 | 3140 { |
| 5275 | 3141 octave_idx_type a_len = a.length (); |
| 3233 | 3142 |
| 3143 retval.resize (len, a_len); | |
| 3144 Complex *c = retval.fortran_vec (); | |
| 3145 | |
| 4552 | 3146 F77_XFCN (zgemm, ZGEMM, (F77_CONST_CHAR_ARG2 ("N", 1), |
| 3147 F77_CONST_CHAR_ARG2 ("N", 1), | |
| 3148 len, a_len, 1, 1.0, v.data (), len, | |
| 3149 a.data (), 1, 0.0, c, len | |
| 3150 F77_CHAR_ARG_LEN (1) | |
| 3151 F77_CHAR_ARG_LEN (1))); | |
| 1205 | 3152 } |
| 3153 | |
| 1948 | 3154 return retval; |
| 1205 | 3155 } |
| 3156 | |
| 458 | 3157 // matrix by diagonal matrix -> matrix operations |
| 3158 | |
| 3159 ComplexMatrix& | |
| 3160 ComplexMatrix::operator += (const DiagMatrix& a) | |
| 3161 { | |
| 5275 | 3162 octave_idx_type nr = rows (); |
| 3163 octave_idx_type nc = cols (); | |
| 3164 | |
| 3165 octave_idx_type a_nr = rows (); | |
| 3166 octave_idx_type a_nc = cols (); | |
| 2384 | 3167 |
| 3168 if (nr != a_nr || nc != a_nc) | |
| 458 | 3169 { |
| 2384 | 3170 gripe_nonconformant ("operator +=", nr, nc, a_nr, a_nc); |
| 889 | 3171 return *this; |
| 458 | 3172 } |
| 3173 | |
| 5275 | 3174 for (octave_idx_type i = 0; i < a.length (); i++) |
| 458 | 3175 elem (i, i) += a.elem (i, i); |
| 3176 | |
| 3177 return *this; | |
| 3178 } | |
| 3179 | |
| 3180 ComplexMatrix& | |
| 3181 ComplexMatrix::operator -= (const DiagMatrix& a) | |
| 3182 { | |
| 5275 | 3183 octave_idx_type nr = rows (); |
| 3184 octave_idx_type nc = cols (); | |
| 3185 | |
| 3186 octave_idx_type a_nr = rows (); | |
| 3187 octave_idx_type a_nc = cols (); | |
| 2384 | 3188 |
| 3189 if (nr != a_nr || nc != a_nc) | |
| 458 | 3190 { |
| 2384 | 3191 gripe_nonconformant ("operator -=", nr, nc, a_nr, a_nc); |
| 889 | 3192 return *this; |
| 458 | 3193 } |
| 3194 | |
| 5275 | 3195 for (octave_idx_type i = 0; i < a.length (); i++) |
| 458 | 3196 elem (i, i) -= a.elem (i, i); |
| 3197 | |
| 3198 return *this; | |
| 3199 } | |
| 3200 | |
| 3201 ComplexMatrix& | |
| 3202 ComplexMatrix::operator += (const ComplexDiagMatrix& a) | |
| 3203 { | |
| 5275 | 3204 octave_idx_type nr = rows (); |
| 3205 octave_idx_type nc = cols (); | |
| 3206 | |
| 3207 octave_idx_type a_nr = rows (); | |
| 3208 octave_idx_type a_nc = cols (); | |
| 2384 | 3209 |
| 3210 if (nr != a_nr || nc != a_nc) | |
| 458 | 3211 { |
| 2384 | 3212 gripe_nonconformant ("operator +=", nr, nc, a_nr, a_nc); |
| 889 | 3213 return *this; |
| 458 | 3214 } |
| 3215 | |
| 5275 | 3216 for (octave_idx_type i = 0; i < a.length (); i++) |
| 458 | 3217 elem (i, i) += a.elem (i, i); |
| 3218 | |
| 3219 return *this; | |
| 3220 } | |
| 3221 | |
| 3222 ComplexMatrix& | |
| 3223 ComplexMatrix::operator -= (const ComplexDiagMatrix& a) | |
| 3224 { | |
| 5275 | 3225 octave_idx_type nr = rows (); |
| 3226 octave_idx_type nc = cols (); | |
| 3227 | |
| 3228 octave_idx_type a_nr = rows (); | |
| 3229 octave_idx_type a_nc = cols (); | |
| 2384 | 3230 |
| 3231 if (nr != a_nr || nc != a_nc) | |
| 458 | 3232 { |
| 2384 | 3233 gripe_nonconformant ("operator -=", nr, nc, a_nr, a_nc); |
| 889 | 3234 return *this; |
| 458 | 3235 } |
| 3236 | |
| 5275 | 3237 for (octave_idx_type i = 0; i < a.length (); i++) |
| 458 | 3238 elem (i, i) -= a.elem (i, i); |
| 3239 | |
| 3240 return *this; | |
| 3241 } | |
| 3242 | |
| 3243 // matrix by matrix -> matrix operations | |
| 3244 | |
| 3245 ComplexMatrix& | |
| 3246 ComplexMatrix::operator += (const Matrix& a) | |
| 3247 { | |
| 5275 | 3248 octave_idx_type nr = rows (); |
| 3249 octave_idx_type nc = cols (); | |
| 3250 | |
| 3251 octave_idx_type a_nr = a.rows (); | |
| 3252 octave_idx_type a_nc = a.cols (); | |
| 2384 | 3253 |
| 3254 if (nr != a_nr || nc != a_nc) | |
| 458 | 3255 { |
| 2384 | 3256 gripe_nonconformant ("operator +=", nr, nc, a_nr, a_nc); |
| 458 | 3257 return *this; |
| 3258 } | |
| 3259 | |
| 3260 if (nr == 0 || nc == 0) | |
| 3261 return *this; | |
| 3262 | |
| 3263 Complex *d = fortran_vec (); // Ensures only one reference to my privates! | |
| 3264 | |
| 3769 | 3265 mx_inline_add2 (d, a.data (), length ()); |
| 458 | 3266 return *this; |
| 3267 } | |
| 3268 | |
| 3269 ComplexMatrix& | |
| 3270 ComplexMatrix::operator -= (const Matrix& a) | |
| 3271 { | |
| 5275 | 3272 octave_idx_type nr = rows (); |
| 3273 octave_idx_type nc = cols (); | |
| 3274 | |
| 3275 octave_idx_type a_nr = a.rows (); | |
| 3276 octave_idx_type a_nc = a.cols (); | |
| 2384 | 3277 |
| 3278 if (nr != a_nr || nc != a_nc) | |
| 458 | 3279 { |
| 2384 | 3280 gripe_nonconformant ("operator -=", nr, nc, a_nr, a_nc); |
| 458 | 3281 return *this; |
| 3282 } | |
| 3283 | |
| 3284 if (nr == 0 || nc == 0) | |
| 3285 return *this; | |
| 3286 | |
| 3287 Complex *d = fortran_vec (); // Ensures only one reference to my privates! | |
| 3288 | |
| 3769 | 3289 mx_inline_subtract2 (d, a.data (), length ()); |
| 458 | 3290 return *this; |
| 3291 } | |
| 3292 | |
| 3293 // unary operations | |
| 3294 | |
| 2964 | 3295 boolMatrix |
| 458 | 3296 ComplexMatrix::operator ! (void) const |
| 3297 { | |
| 5275 | 3298 octave_idx_type nr = rows (); |
| 3299 octave_idx_type nc = cols (); | |
| 2964 | 3300 |
| 3301 boolMatrix b (nr, nc); | |
| 3302 | |
| 5275 | 3303 for (octave_idx_type j = 0; j < nc; j++) |
| 3304 for (octave_idx_type i = 0; i < nr; i++) | |
| 5139 | 3305 b.elem (i, j) = elem (i, j) == 0.0; |
| 2964 | 3306 |
| 3307 return b; | |
| 458 | 3308 } |
| 3309 | |
| 3310 // other operations | |
| 3311 | |
| 2676 | 3312 Matrix |
|
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|
3313 ComplexMatrix::map (dmapper fcn) const |
| 458 | 3314 { |
|
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|
3315 return MArray2<Complex>::map<double> (func_ptr (fcn)); |
|
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diff
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|
3316 } |
|
8c32f95c2639
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|
3317 |
|
8c32f95c2639
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diff
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|
3318 ComplexMatrix |
|
8c32f95c2639
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|
3319 ComplexMatrix::map (cmapper fcn) const |
|
8c32f95c2639
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diff
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|
3320 { |
|
8c32f95c2639
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diff
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|
3321 return MArray2<Complex>::map<Complex> (func_ptr (fcn)); |
| 3248 | 3322 } |
| 3323 | |
| 3324 boolMatrix | |
|
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|
3325 ComplexMatrix::map (bmapper fcn) const |
| 3248 | 3326 { |
|
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|
3327 return MArray2<Complex>::map<bool> (func_ptr (fcn)); |
| 458 | 3328 } |
| 3329 | |
| 2384 | 3330 bool |
|
7922
935be827eaf8
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|
3331 ComplexMatrix::any_element_is_nan (void) const |
|
935be827eaf8
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diff
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|
3332 { |
|
935be827eaf8
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diff
changeset
|
3333 octave_idx_type nr = rows (); |
|
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diff
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|
3334 octave_idx_type nc = cols (); |
|
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diff
changeset
|
3335 |
|
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diff
changeset
|
3336 for (octave_idx_type j = 0; j < nc; j++) |
|
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diff
changeset
|
3337 for (octave_idx_type i = 0; i < nr; i++) |
|
935be827eaf8
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diff
changeset
|
3338 { |
|
935be827eaf8
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diff
changeset
|
3339 Complex val = elem (i, j); |
|
935be827eaf8
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7803
diff
changeset
|
3340 if (xisnan (val)) |
|
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7803
diff
changeset
|
3341 return true; |
|
935be827eaf8
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diff
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|
3342 } |
|
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changeset
|
3343 |
|
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|
3344 return false; |
|
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diff
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|
3345 } |
|
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|
3346 |
|
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|
3347 bool |
| 2384 | 3348 ComplexMatrix::any_element_is_inf_or_nan (void) const |
| 3349 { | |
| 5275 | 3350 octave_idx_type nr = rows (); |
| 3351 octave_idx_type nc = cols (); | |
| 3352 | |
| 3353 for (octave_idx_type j = 0; j < nc; j++) | |
| 3354 for (octave_idx_type i = 0; i < nr; i++) | |
| 2384 | 3355 { |
| 3356 Complex val = elem (i, j); | |
| 3357 if (xisinf (val) || xisnan (val)) | |
| 3358 return true; | |
| 3359 } | |
| 3360 | |
| 3361 return false; | |
| 3362 } | |
| 3363 | |
| 2408 | 3364 // Return true if no elements have imaginary components. |
| 3365 | |
| 3366 bool | |
| 3367 ComplexMatrix::all_elements_are_real (void) const | |
| 3368 { | |
| 5275 | 3369 octave_idx_type nr = rows (); |
| 3370 octave_idx_type nc = cols (); | |
| 3371 | |
| 3372 for (octave_idx_type j = 0; j < nc; j++) | |
| 4349 | 3373 { |
| 5275 | 3374 for (octave_idx_type i = 0; i < nr; i++) |
| 4349 | 3375 { |
| 5315 | 3376 double ip = std::imag (elem (i, j)); |
| 4349 | 3377 |
| 3378 if (ip != 0.0 || lo_ieee_signbit (ip)) | |
| 3379 return false; | |
| 3380 } | |
| 3381 } | |
| 2408 | 3382 |
| 3383 return true; | |
| 3384 } | |
| 3385 | |
| 1968 | 3386 // Return nonzero if any element of CM has a non-integer real or |
| 3387 // imaginary part. Also extract the largest and smallest (real or | |
| 3388 // imaginary) values and return them in MAX_VAL and MIN_VAL. | |
| 3389 | |
| 2384 | 3390 bool |
| 1968 | 3391 ComplexMatrix::all_integers (double& max_val, double& min_val) const |
| 3392 { | |
| 5275 | 3393 octave_idx_type nr = rows (); |
| 3394 octave_idx_type nc = cols (); | |
| 1968 | 3395 |
| 3396 if (nr > 0 && nc > 0) | |
| 3397 { | |
| 3398 Complex val = elem (0, 0); | |
| 3399 | |
| 5315 | 3400 double r_val = std::real (val); |
| 3401 double i_val = std::imag (val); | |
| 1968 | 3402 |
| 3403 max_val = r_val; | |
| 3404 min_val = r_val; | |
| 3405 | |
| 3406 if (i_val > max_val) | |
| 3407 max_val = i_val; | |
| 3408 | |
| 3409 if (i_val < max_val) | |
| 3410 min_val = i_val; | |
| 3411 } | |
| 3412 else | |
| 2384 | 3413 return false; |
| 1968 | 3414 |
| 5275 | 3415 for (octave_idx_type j = 0; j < nc; j++) |
| 3416 for (octave_idx_type i = 0; i < nr; i++) | |
| 1968 | 3417 { |
| 3418 Complex val = elem (i, j); | |
| 3419 | |
| 5315 | 3420 double r_val = std::real (val); |
| 3421 double i_val = std::imag (val); | |
| 1968 | 3422 |
| 3423 if (r_val > max_val) | |
| 3424 max_val = r_val; | |
| 3425 | |
| 3426 if (i_val > max_val) | |
| 3427 max_val = i_val; | |
| 3428 | |
| 3429 if (r_val < min_val) | |
| 3430 min_val = r_val; | |
| 3431 | |
| 3432 if (i_val < min_val) | |
| 3433 min_val = i_val; | |
| 3434 | |
| 3435 if (D_NINT (r_val) != r_val || D_NINT (i_val) != i_val) | |
| 2384 | 3436 return false; |
| 1968 | 3437 } |
| 2384 | 3438 |
| 3439 return true; | |
| 1968 | 3440 } |
| 3441 | |
| 2384 | 3442 bool |
| 1968 | 3443 ComplexMatrix::too_large_for_float (void) const |
| 3444 { | |
| 5275 | 3445 octave_idx_type nr = rows (); |
| 3446 octave_idx_type nc = cols (); | |
| 3447 | |
| 3448 for (octave_idx_type j = 0; j < nc; j++) | |
| 3449 for (octave_idx_type i = 0; i < nr; i++) | |
| 1968 | 3450 { |
| 3451 Complex val = elem (i, j); | |
| 3452 | |
| 5315 | 3453 double r_val = std::real (val); |
| 3454 double i_val = std::imag (val); | |
| 1968 | 3455 |
| 5389 | 3456 if ((! (xisnan (r_val) || xisinf (r_val)) |
| 5387 | 3457 && fabs (r_val) > FLT_MAX) |
| 5389 | 3458 || (! (xisnan (i_val) || xisinf (i_val)) |
| 5387 | 3459 && fabs (i_val) > FLT_MAX)) |
| 2384 | 3460 return true; |
| 1968 | 3461 } |
| 3462 | |
| 2384 | 3463 return false; |
| 1968 | 3464 } |
| 3465 | |
| 5775 | 3466 // FIXME Do these really belong here? Maybe they should be |
| 4015 | 3467 // in a base class? |
| 3468 | |
| 2832 | 3469 boolMatrix |
| 4015 | 3470 ComplexMatrix::all (int dim) const |
| 458 | 3471 { |
| 4015 | 3472 MX_ALL_OP (dim); |
| 458 | 3473 } |
| 3474 | |
| 2832 | 3475 boolMatrix |
| 4015 | 3476 ComplexMatrix::any (int dim) const |
| 458 | 3477 { |
| 4015 | 3478 MX_ANY_OP (dim); |
| 458 | 3479 } |
| 3480 | |
| 3481 ComplexMatrix | |
| 3723 | 3482 ComplexMatrix::cumprod (int dim) const |
| 458 | 3483 { |
| 4015 | 3484 MX_CUMULATIVE_OP (ComplexMatrix, Complex, *=); |
| 458 | 3485 } |
| 3486 | |
| 3487 ComplexMatrix | |
| 3723 | 3488 ComplexMatrix::cumsum (int dim) const |
| 458 | 3489 { |
| 4015 | 3490 MX_CUMULATIVE_OP (ComplexMatrix, Complex, +=); |
| 458 | 3491 } |
| 3492 | |
| 3493 ComplexMatrix | |
| 3723 | 3494 ComplexMatrix::prod (int dim) const |
| 458 | 3495 { |
| 3864 | 3496 MX_REDUCTION_OP (ComplexMatrix, *=, 1.0, 1.0); |
| 458 | 3497 } |
| 3498 | |
| 3499 ComplexMatrix | |
| 3723 | 3500 ComplexMatrix::sum (int dim) const |
| 458 | 3501 { |
| 3864 | 3502 MX_REDUCTION_OP (ComplexMatrix, +=, 0.0, 0.0); |
| 458 | 3503 } |
| 3504 | |
| 3505 ComplexMatrix | |
| 3723 | 3506 ComplexMatrix::sumsq (int dim) const |
| 458 | 3507 { |
| 3864 | 3508 #define ROW_EXPR \ |
| 3509 Complex d = elem (i, j); \ | |
| 3510 retval.elem (i, 0) += d * conj (d) | |
| 3511 | |
| 3512 #define COL_EXPR \ | |
| 3513 Complex d = elem (i, j); \ | |
| 3514 retval.elem (0, j) += d * conj (d) | |
| 3515 | |
| 3516 MX_BASE_REDUCTION_OP (ComplexMatrix, ROW_EXPR, COL_EXPR, 0.0, 0.0); | |
| 3517 | |
| 3518 #undef ROW_EXPR | |
| 3519 #undef COL_EXPR | |
| 458 | 3520 } |
| 3521 | |
| 4329 | 3522 Matrix ComplexMatrix::abs (void) const |
| 3523 { | |
| 5275 | 3524 octave_idx_type nr = rows (); |
| 3525 octave_idx_type nc = cols (); | |
| 4329 | 3526 |
| 3527 Matrix retval (nr, nc); | |
| 3528 | |
| 5275 | 3529 for (octave_idx_type j = 0; j < nc; j++) |
| 3530 for (octave_idx_type i = 0; i < nr; i++) | |
| 5315 | 3531 retval (i, j) = std::abs (elem (i, j)); |
| 4329 | 3532 |
| 3533 return retval; | |
| 3534 } | |
| 3535 | |
|
7620
36594d5bbe13
Move diag function into the octave_value class
David Bateman <dbateman@free.fr>
parents:
7544
diff
changeset
|
3536 ComplexMatrix |
| 5275 | 3537 ComplexMatrix::diag (octave_idx_type k) const |
| 458 | 3538 { |
|
7620
36594d5bbe13
Move diag function into the octave_value class
David Bateman <dbateman@free.fr>
parents:
7544
diff
changeset
|
3539 return MArray2<Complex>::diag (k); |
| 458 | 3540 } |
| 3541 | |
| 2354 | 3542 bool |
| 5275 | 3543 ComplexMatrix::row_is_real_only (octave_idx_type i) const |
| 2354 | 3544 { |
| 3545 bool retval = true; | |
| 3546 | |
| 5275 | 3547 octave_idx_type nc = columns (); |
| 3548 | |
| 3549 for (octave_idx_type j = 0; j < nc; j++) | |
| 2354 | 3550 { |
| 5315 | 3551 if (std::imag (elem (i, j)) != 0.0) |
| 2354 | 3552 { |
| 3553 retval = false; | |
| 3554 break; | |
| 3555 } | |
| 3556 } | |
| 3557 | |
| 3558 return retval; | |
| 3559 } | |
| 3560 | |
| 3561 bool | |
| 5275 | 3562 ComplexMatrix::column_is_real_only (octave_idx_type j) const |
| 2354 | 3563 { |
| 3564 bool retval = true; | |
| 3565 | |
| 5275 | 3566 octave_idx_type nr = rows (); |
| 3567 | |
| 3568 for (octave_idx_type i = 0; i < nr; i++) | |
| 2354 | 3569 { |
| 5315 | 3570 if (std::imag (elem (i, j)) != 0.0) |
| 2354 | 3571 { |
| 3572 retval = false; | |
| 3573 break; | |
| 3574 } | |
| 3575 } | |
| 3576 | |
| 3577 return retval; | |
| 3578 } | |
| 891 | 3579 |
| 458 | 3580 ComplexColumnVector |
| 3581 ComplexMatrix::row_min (void) const | |
| 3582 { | |
| 5275 | 3583 Array<octave_idx_type> dummy_idx; |
| 4587 | 3584 return row_min (dummy_idx); |
| 458 | 3585 } |
| 3586 | |
| 3587 ComplexColumnVector | |
| 5275 | 3588 ComplexMatrix::row_min (Array<octave_idx_type>& idx_arg) const |
| 458 | 3589 { |
| 3590 ComplexColumnVector result; | |
| 3591 | |
| 5275 | 3592 octave_idx_type nr = rows (); |
| 3593 octave_idx_type nc = cols (); | |
| 458 | 3594 |
| 3595 if (nr > 0 && nc > 0) | |
| 3596 { | |
| 3597 result.resize (nr); | |
| 4587 | 3598 idx_arg.resize (nr); |
| 458 | 3599 |
| 5275 | 3600 for (octave_idx_type i = 0; i < nr; i++) |
| 458 | 3601 { |
| 2354 | 3602 bool real_only = row_is_real_only (i); |
| 3603 | |
| 5275 | 3604 octave_idx_type idx_j; |
| 4469 | 3605 |
| 3606 Complex tmp_min; | |
| 3607 | |
| 3608 double abs_min = octave_NaN; | |
| 3609 | |
| 3610 for (idx_j = 0; idx_j < nc; idx_j++) | |
| 3611 { | |
| 3612 tmp_min = elem (i, idx_j); | |
| 3613 | |
| 5389 | 3614 if (! xisnan (tmp_min)) |
| 4469 | 3615 { |
| 5315 | 3616 abs_min = real_only ? std::real (tmp_min) : std::abs (tmp_min); |
| 4469 | 3617 break; |
| 3618 } | |
| 3619 } | |
| 3620 | |
| 5275 | 3621 for (octave_idx_type j = idx_j+1; j < nc; j++) |
| 4469 | 3622 { |
| 3623 Complex tmp = elem (i, j); | |
| 3624 | |
| 5389 | 3625 if (xisnan (tmp)) |
| 4469 | 3626 continue; |
| 3627 | |
| 5315 | 3628 double abs_tmp = real_only ? std::real (tmp) : std::abs (tmp); |
| 4469 | 3629 |
| 3630 if (abs_tmp < abs_min) | |
| 3631 { | |
| 3632 idx_j = j; | |
| 3633 tmp_min = tmp; | |
| 3634 abs_min = abs_tmp; | |
| 3635 } | |
| 3636 } | |
| 3637 | |
| 5389 | 3638 if (xisnan (tmp_min)) |
| 4469 | 3639 { |
| 3640 result.elem (i) = Complex_NaN_result; | |
| 4587 | 3641 idx_arg.elem (i) = 0; |
| 4469 | 3642 } |
| 891 | 3643 else |
| 3644 { | |
| 4469 | 3645 result.elem (i) = tmp_min; |
| 4587 | 3646 idx_arg.elem (i) = idx_j; |
| 891 | 3647 } |
| 458 | 3648 } |
| 3649 } | |
| 3650 | |
| 3651 return result; | |
| 3652 } | |
| 3653 | |
| 3654 ComplexColumnVector | |
| 3655 ComplexMatrix::row_max (void) const | |
| 3656 { | |
| 5275 | 3657 Array<octave_idx_type> dummy_idx; |
| 4587 | 3658 return row_max (dummy_idx); |
| 458 | 3659 } |
| 3660 | |
| 3661 ComplexColumnVector | |
| 5275 | 3662 ComplexMatrix::row_max (Array<octave_idx_type>& idx_arg) const |
| 458 | 3663 { |
| 3664 ComplexColumnVector result; | |
| 3665 | |
| 5275 | 3666 octave_idx_type nr = rows (); |
| 3667 octave_idx_type nc = cols (); | |
| 458 | 3668 |
| 3669 if (nr > 0 && nc > 0) | |
| 3670 { | |
| 3671 result.resize (nr); | |
| 4587 | 3672 idx_arg.resize (nr); |
| 458 | 3673 |
| 5275 | 3674 for (octave_idx_type i = 0; i < nr; i++) |
| 458 | 3675 { |
| 2354 | 3676 bool real_only = row_is_real_only (i); |
| 3677 | |
| 5275 | 3678 octave_idx_type idx_j; |
| 4469 | 3679 |
| 3680 Complex tmp_max; | |
| 3681 | |
| 3682 double abs_max = octave_NaN; | |
| 3683 | |
| 3684 for (idx_j = 0; idx_j < nc; idx_j++) | |
| 3685 { | |
| 3686 tmp_max = elem (i, idx_j); | |
| 3687 | |
| 5389 | 3688 if (! xisnan (tmp_max)) |
| 4469 | 3689 { |
| 5315 | 3690 abs_max = real_only ? std::real (tmp_max) : std::abs (tmp_max); |
| 4469 | 3691 break; |
| 3692 } | |
| 3693 } | |
| 3694 | |
| 5275 | 3695 for (octave_idx_type j = idx_j+1; j < nc; j++) |
| 4469 | 3696 { |
| 3697 Complex tmp = elem (i, j); | |
| 3698 | |
| 5389 | 3699 if (xisnan (tmp)) |
| 4469 | 3700 continue; |
| 3701 | |
| 5315 | 3702 double abs_tmp = real_only ? std::real (tmp) : std::abs (tmp); |
| 4469 | 3703 |
| 3704 if (abs_tmp > abs_max) | |
| 3705 { | |
| 3706 idx_j = j; | |
| 3707 tmp_max = tmp; | |
| 3708 abs_max = abs_tmp; | |
| 3709 } | |
| 3710 } | |
| 3711 | |
| 5389 | 3712 if (xisnan (tmp_max)) |
| 4469 | 3713 { |
| 3714 result.elem (i) = Complex_NaN_result; | |
| 4587 | 3715 idx_arg.elem (i) = 0; |
| 4469 | 3716 } |
| 891 | 3717 else |
| 3718 { | |
| 4469 | 3719 result.elem (i) = tmp_max; |
| 4587 | 3720 idx_arg.elem (i) = idx_j; |
| 891 | 3721 } |
| 458 | 3722 } |
| 3723 } | |
| 3724 | |
| 3725 return result; | |
| 3726 } | |
| 3727 | |
| 3728 ComplexRowVector | |
| 3729 ComplexMatrix::column_min (void) const | |
| 3730 { | |
| 5275 | 3731 Array<octave_idx_type> dummy_idx; |
| 4587 | 3732 return column_min (dummy_idx); |
| 458 | 3733 } |
| 3734 | |
| 3735 ComplexRowVector | |
| 5275 | 3736 ComplexMatrix::column_min (Array<octave_idx_type>& idx_arg) const |
| 458 | 3737 { |
| 3738 ComplexRowVector result; | |
| 3739 | |
| 5275 | 3740 octave_idx_type nr = rows (); |
| 3741 octave_idx_type nc = cols (); | |
| 458 | 3742 |
| 3743 if (nr > 0 && nc > 0) | |
| 3744 { | |
| 3745 result.resize (nc); | |
| 4587 | 3746 idx_arg.resize (nc); |
| 458 | 3747 |
| 5275 | 3748 for (octave_idx_type j = 0; j < nc; j++) |
| 458 | 3749 { |
| 2354 | 3750 bool real_only = column_is_real_only (j); |
| 3751 | |
| 5275 | 3752 octave_idx_type idx_i; |
| 4469 | 3753 |
| 3754 Complex tmp_min; | |
| 3755 | |
| 3756 double abs_min = octave_NaN; | |
| 3757 | |
| 3758 for (idx_i = 0; idx_i < nr; idx_i++) | |
| 3759 { | |
| 3760 tmp_min = elem (idx_i, j); | |
| 3761 | |
| 5389 | 3762 if (! xisnan (tmp_min)) |
| 4469 | 3763 { |
| 5315 | 3764 abs_min = real_only ? std::real (tmp_min) : std::abs (tmp_min); |
| 4469 | 3765 break; |
| 3766 } | |
| 3767 } | |
| 3768 | |
| 5275 | 3769 for (octave_idx_type i = idx_i+1; i < nr; i++) |
| 4469 | 3770 { |
| 3771 Complex tmp = elem (i, j); | |
| 3772 | |
| 5389 | 3773 if (xisnan (tmp)) |
| 4469 | 3774 continue; |
| 3775 | |
| 5315 | 3776 double abs_tmp = real_only ? std::real (tmp) : std::abs (tmp); |
| 4469 | 3777 |
| 3778 if (abs_tmp < abs_min) | |
| 3779 { | |
| 3780 idx_i = i; | |
| 3781 tmp_min = tmp; | |
| 3782 abs_min = abs_tmp; | |
| 3783 } | |
| 3784 } | |
| 3785 | |
| 5389 | 3786 if (xisnan (tmp_min)) |
| 4469 | 3787 { |
| 3788 result.elem (j) = Complex_NaN_result; | |
| 4587 | 3789 idx_arg.elem (j) = 0; |
| 4469 | 3790 } |
| 891 | 3791 else |
| 3792 { | |
| 4469 | 3793 result.elem (j) = tmp_min; |
| 4587 | 3794 idx_arg.elem (j) = idx_i; |
| 891 | 3795 } |
| 458 | 3796 } |
| 3797 } | |
| 3798 | |
| 3799 return result; | |
| 3800 } | |
| 3801 | |
| 3802 ComplexRowVector | |
| 3803 ComplexMatrix::column_max (void) const | |
| 3804 { | |
| 5275 | 3805 Array<octave_idx_type> dummy_idx; |
| 4587 | 3806 return column_max (dummy_idx); |
| 458 | 3807 } |
| 3808 | |
| 3809 ComplexRowVector | |
| 5275 | 3810 ComplexMatrix::column_max (Array<octave_idx_type>& idx_arg) const |
| 458 | 3811 { |
| 3812 ComplexRowVector result; | |
| 3813 | |
| 5275 | 3814 octave_idx_type nr = rows (); |
| 3815 octave_idx_type nc = cols (); | |
| 458 | 3816 |
| 3817 if (nr > 0 && nc > 0) | |
| 3818 { | |
| 3819 result.resize (nc); | |
| 4587 | 3820 idx_arg.resize (nc); |
| 458 | 3821 |
| 5275 | 3822 for (octave_idx_type j = 0; j < nc; j++) |
| 458 | 3823 { |
| 2354 | 3824 bool real_only = column_is_real_only (j); |
| 3825 | |
| 5275 | 3826 octave_idx_type idx_i; |
| 4469 | 3827 |
| 3828 Complex tmp_max; | |
| 3829 | |
| 3830 double abs_max = octave_NaN; | |
| 3831 | |
| 3832 for (idx_i = 0; idx_i < nr; idx_i++) | |
| 3833 { | |
| 3834 tmp_max = elem (idx_i, j); | |
| 3835 | |
| 5389 | 3836 if (! xisnan (tmp_max)) |
| 4469 | 3837 { |
| 5315 | 3838 abs_max = real_only ? std::real (tmp_max) : std::abs (tmp_max); |
| 4469 | 3839 break; |
| 3840 } | |
| 3841 } | |
| 3842 | |
| 5275 | 3843 for (octave_idx_type i = idx_i+1; i < nr; i++) |
| 4469 | 3844 { |
| 3845 Complex tmp = elem (i, j); | |
| 3846 | |
| 5389 | 3847 if (xisnan (tmp)) |
| 4469 | 3848 continue; |
| 3849 | |
| 5315 | 3850 double abs_tmp = real_only ? std::real (tmp) : std::abs (tmp); |
| 4469 | 3851 |
| 3852 if (abs_tmp > abs_max) | |
| 3853 { | |
| 3854 idx_i = i; | |
| 3855 tmp_max = tmp; | |
| 3856 abs_max = abs_tmp; | |
| 3857 } | |
| 3858 } | |
| 3859 | |
| 5389 | 3860 if (xisnan (tmp_max)) |
| 4469 | 3861 { |
| 3862 result.elem (j) = Complex_NaN_result; | |
| 4587 | 3863 idx_arg.elem (j) = 0; |
| 4469 | 3864 } |
| 891 | 3865 else |
| 3866 { | |
| 4469 | 3867 result.elem (j) = tmp_max; |
| 4587 | 3868 idx_arg.elem (j) = idx_i; |
| 891 | 3869 } |
| 458 | 3870 } |
| 3871 } | |
| 3872 | |
| 3873 return result; | |
| 3874 } | |
| 3875 | |
| 3876 // i/o | |
| 3877 | |
| 3504 | 3878 std::ostream& |
| 3879 operator << (std::ostream& os, const ComplexMatrix& a) | |
| 458 | 3880 { |
| 5275 | 3881 for (octave_idx_type i = 0; i < a.rows (); i++) |
| 458 | 3882 { |
| 5275 | 3883 for (octave_idx_type j = 0; j < a.cols (); j++) |
| 4130 | 3884 { |
| 3885 os << " "; | |
| 3886 octave_write_complex (os, a.elem (i, j)); | |
| 3887 } | |
| 458 | 3888 os << "\n"; |
| 3889 } | |
| 3890 return os; | |
| 3891 } | |
| 3892 | |
| 3504 | 3893 std::istream& |
| 3894 operator >> (std::istream& is, ComplexMatrix& a) | |
| 458 | 3895 { |
| 5275 | 3896 octave_idx_type nr = a.rows (); |
| 3897 octave_idx_type nc = a.cols (); | |
| 458 | 3898 |
| 3899 if (nr < 1 || nc < 1) | |
| 3504 | 3900 is.clear (std::ios::badbit); |
| 458 | 3901 else |
| 3902 { | |
| 3903 Complex tmp; | |
| 5275 | 3904 for (octave_idx_type i = 0; i < nr; i++) |
| 3905 for (octave_idx_type j = 0; j < nc; j++) | |
| 458 | 3906 { |
| 4130 | 3907 tmp = octave_read_complex (is); |
| 458 | 3908 if (is) |
| 3909 a.elem (i, j) = tmp; | |
| 3910 else | |
| 2993 | 3911 goto done; |
| 458 | 3912 } |
| 3913 } | |
| 3914 | |
| 2993 | 3915 done: |
| 3916 | |
| 458 | 3917 return is; |
| 3918 } | |
| 3919 | |
| 1819 | 3920 ComplexMatrix |
| 3921 Givens (const Complex& x, const Complex& y) | |
| 3922 { | |
| 3923 double cc; | |
| 3924 Complex cs, temp_r; | |
| 3925 | |
| 3887 | 3926 F77_FUNC (zlartg, ZLARTG) (x, y, cc, cs, temp_r); |
| 1819 | 3927 |
| 3928 ComplexMatrix g (2, 2); | |
| 3929 | |
| 3930 g.elem (0, 0) = cc; | |
| 3931 g.elem (1, 1) = cc; | |
| 3932 g.elem (0, 1) = cs; | |
| 3933 g.elem (1, 0) = -conj (cs); | |
| 3934 | |
| 3935 return g; | |
| 3936 } | |
| 3937 | |
| 3938 ComplexMatrix | |
| 3939 Sylvester (const ComplexMatrix& a, const ComplexMatrix& b, | |
| 3940 const ComplexMatrix& c) | |
| 3941 { | |
| 3942 ComplexMatrix retval; | |
| 3943 | |
| 5775 | 3944 // FIXME -- need to check that a, b, and c are all the same |
| 1819 | 3945 // size. |
| 3946 | |
| 3947 // Compute Schur decompositions | |
| 3948 | |
| 3949 ComplexSCHUR as (a, "U"); | |
| 3950 ComplexSCHUR bs (b, "U"); | |
| 3951 | |
| 3952 // Transform c to new coordinates. | |
| 3953 | |
| 3954 ComplexMatrix ua = as.unitary_matrix (); | |
| 3955 ComplexMatrix sch_a = as.schur_matrix (); | |
| 3956 | |
| 3957 ComplexMatrix ub = bs.unitary_matrix (); | |
| 3958 ComplexMatrix sch_b = bs.schur_matrix (); | |
| 3959 | |
| 3960 ComplexMatrix cx = ua.hermitian () * c * ub; | |
| 3961 | |
| 3962 // Solve the sylvester equation, back-transform, and return the | |
| 3963 // solution. | |
| 3964 | |
| 5275 | 3965 octave_idx_type a_nr = a.rows (); |
| 3966 octave_idx_type b_nr = b.rows (); | |
| 1819 | 3967 |
| 3968 double scale; | |
| 5275 | 3969 octave_idx_type info; |
| 1950 | 3970 |
| 3971 Complex *pa = sch_a.fortran_vec (); | |
| 3972 Complex *pb = sch_b.fortran_vec (); | |
| 3973 Complex *px = cx.fortran_vec (); | |
| 1819 | 3974 |
| 4552 | 3975 F77_XFCN (ztrsyl, ZTRSYL, (F77_CONST_CHAR_ARG2 ("N", 1), |
| 3976 F77_CONST_CHAR_ARG2 ("N", 1), | |
| 3977 1, a_nr, b_nr, pa, a_nr, pb, | |
| 3978 b_nr, px, a_nr, scale, info | |
| 3979 F77_CHAR_ARG_LEN (1) | |
| 3980 F77_CHAR_ARG_LEN (1))); | |
| 1950 | 3981 |
|
7482
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
3982 // FIXME -- check info? |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
3983 |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
3984 retval = -ua * cx * ub.hermitian (); |
| 1819 | 3985 |
| 3986 return retval; | |
| 3987 } | |
| 3988 | |
| 2828 | 3989 ComplexMatrix |
| 3990 operator * (const ComplexMatrix& m, const Matrix& a) | |
| 3991 { | |
| 3992 ComplexMatrix tmp (a); | |
| 3993 return m * tmp; | |
| 3994 } | |
| 3995 | |
| 3996 ComplexMatrix | |
| 3997 operator * (const Matrix& m, const ComplexMatrix& a) | |
| 3998 { | |
| 3999 ComplexMatrix tmp (m); | |
| 4000 return tmp * a; | |
| 4001 } | |
| 4002 | |
| 6162 | 4003 /* Simple Dot Product, Matrix-Vector and Matrix-Matrix Unit tests |
| 4004 %!assert([1+i 2+i 3+i] * [ 4+i ; 5+i ; 6+i], 29+21i, 1e-14) | |
| 4005 %!assert([1+i 2+i ; 3+i 4+i ] * [5+i ; 6+i], [15 + 14i ; 37 + 18i], 1e-14) | |
| 4006 %!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) | |
| 4007 */ | |
| 4008 | |
| 4009 /* Test some simple identities | |
| 4010 %!shared M, cv, rv | |
| 4011 %! M = randn(10,10)+i*rand(10,10); | |
| 4012 %! cv = randn(10,1)+i*rand(10,1); | |
| 4013 %! rv = randn(1,10)+i*rand(1,10); | |
| 4014 %!assert([M*cv,M*cv],M*[cv,cv],1e-14) | |
| 4015 %!assert([rv*M;rv*M],[rv;rv]*M,1e-14) | |
| 4016 %!assert(2*rv*cv,[rv,rv]*[cv;cv],1e-14) | |
| 4017 */ | |
| 4018 | |
|
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
|
4019 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
|
4020 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
|
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 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
|
4023 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
|
4024 } |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
4025 |
|
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 // 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
|
4027 |
| 2828 | 4028 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
|
4029 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
|
4030 bool transb, bool conjb, const ComplexMatrix& b) |
| 2828 | 4031 { |
| 4032 ComplexMatrix retval; | |
| 4033 | |
|
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
|
4034 // 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
|
4035 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
|
4036 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
|
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 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
|
4039 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
|
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 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
|
4042 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
|
4043 |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
4044 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
|
4045 gripe_nonconformant ("operator *", a_nr, a_nc, b_nr, b_nc); |
| 2828 | 4046 else |
| 4047 { | |
|
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
|
4048 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
|
4049 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
|
4050 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
|
4051 { |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
4052 octave_idx_type lda = a.rows (); |
|
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 retval.resize (a_nr, b_nc); |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
4055 Complex *c = retval.fortran_vec (); |
|
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 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
|
4058 if (conja || conjb) |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
4059 { |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
4060 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
|
4061 F77_CONST_CHAR_ARG2 (ctransa, 1), |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
4062 a_nr, a_nc, 1.0, |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
4063 a.data (), lda, 0.0, c, a_nr |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
4064 F77_CHAR_ARG_LEN (1) |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
4065 F77_CHAR_ARG_LEN (1))); |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
4066 for (int j = 0; j < a_nr; j++) |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
4067 for (int i = 0; i < j; i++) |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
4068 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
|
4069 } |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
4070 else |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
4071 { |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
4072 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
|
4073 F77_CONST_CHAR_ARG2 (ctransa, 1), |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
4074 a_nr, a_nc, 1.0, |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
4075 a.data (), lda, 0.0, c, a_nr |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
4076 F77_CHAR_ARG_LEN (1) |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
4077 F77_CHAR_ARG_LEN (1))); |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
4078 for (int j = 0; j < a_nr; j++) |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
4079 for (int i = 0; i < j; i++) |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
4080 retval.xelem (j,i) = retval.xelem (i,j); |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
4081 |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
4082 } |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
4083 |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
4084 } |
| 2828 | 4085 else |
| 4086 { | |
|
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
|
4087 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
|
4088 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
|
4089 |
|
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 retval.resize (a_nr, b_nc); |
| 2828 | 4091 Complex *c = retval.fortran_vec (); |
| 4092 | |
|
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
|
4093 if (b_nc == 1 && a_nr == 1) |
| 5983 | 4094 { |
|
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
|
4095 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
|
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 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
|
4098 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
|
4099 } |
|
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 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
|
4101 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
|
4102 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
|
4103 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
|
4104 } |
|
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 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
|
4106 { |
|
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 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
|
4108 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
|
4109 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
|
4110 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
|
4111 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
|
4112 } |
|
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 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
|
4114 { |
|
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 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
|
4116 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
|
4117 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
|
4118 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
|
4119 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
|
4120 } |
| 5983 | 4121 else |
| 6390 | 4122 { |
|
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
|
4123 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
|
4124 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
|
4125 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
|
4126 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
|
4127 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
|
4128 lda, b.data (), ldb, 0.0, c, a_nr |
| 6390 | 4129 F77_CHAR_ARG_LEN (1) |
| 4130 F77_CHAR_ARG_LEN (1))); | |
| 4131 } | |
| 2828 | 4132 } |
| 4133 } | |
| 4134 | |
| 4135 return retval; | |
| 4136 } | |
| 4137 | |
|
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
|
4138 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
|
4139 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
|
4140 { |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
4141 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
|
4142 } |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
4143 |
| 5775 | 4144 // FIXME -- it would be nice to share code among the min/max |
| 4309 | 4145 // functions below. |
| 4146 | |
| 4147 #define EMPTY_RETURN_CHECK(T) \ | |
| 4148 if (nr == 0 || nc == 0) \ | |
| 4149 return T (nr, nc); | |
| 4150 | |
| 4151 ComplexMatrix | |
| 4152 min (const Complex& c, const ComplexMatrix& m) | |
| 4153 { | |
| 5275 | 4154 octave_idx_type nr = m.rows (); |
| 4155 octave_idx_type nc = m.columns (); | |
| 4309 | 4156 |
| 4157 EMPTY_RETURN_CHECK (ComplexMatrix); | |
| 4158 | |
| 4159 ComplexMatrix result (nr, nc); | |
| 4160 | |
| 5275 | 4161 for (octave_idx_type j = 0; j < nc; j++) |
| 4162 for (octave_idx_type i = 0; i < nr; i++) | |
| 4309 | 4163 { |
| 4164 OCTAVE_QUIT; | |
| 4165 result (i, j) = xmin (c, m (i, j)); | |
| 4166 } | |
| 4167 | |
| 4168 return result; | |
| 4169 } | |
| 4170 | |
| 4171 ComplexMatrix | |
| 4172 min (const ComplexMatrix& m, const Complex& c) | |
| 4173 { | |
| 5275 | 4174 octave_idx_type nr = m.rows (); |
| 4175 octave_idx_type nc = m.columns (); | |
| 4309 | 4176 |
| 4177 EMPTY_RETURN_CHECK (ComplexMatrix); | |
| 4178 | |
| 4179 ComplexMatrix result (nr, nc); | |
| 4180 | |
| 5275 | 4181 for (octave_idx_type j = 0; j < nc; j++) |
| 4182 for (octave_idx_type i = 0; i < nr; i++) | |
| 4309 | 4183 { |
| 4184 OCTAVE_QUIT; | |
| 4185 result (i, j) = xmin (m (i, j), c); | |
| 4186 } | |
| 4187 | |
| 4188 return result; | |
| 4189 } | |
| 4190 | |
| 4191 ComplexMatrix | |
| 4192 min (const ComplexMatrix& a, const ComplexMatrix& b) | |
| 4193 { | |
| 5275 | 4194 octave_idx_type nr = a.rows (); |
| 4195 octave_idx_type nc = a.columns (); | |
| 4309 | 4196 |
| 4197 if (nr != b.rows () || nc != b.columns ()) | |
| 4198 { | |
| 4199 (*current_liboctave_error_handler) | |
| 4200 ("two-arg min expecting args of same size"); | |
| 4201 return ComplexMatrix (); | |
| 4202 } | |
| 4203 | |
| 4204 EMPTY_RETURN_CHECK (ComplexMatrix); | |
| 4205 | |
| 4206 ComplexMatrix result (nr, nc); | |
| 4207 | |
| 5275 | 4208 for (octave_idx_type j = 0; j < nc; j++) |
| 4309 | 4209 { |
| 4210 int columns_are_real_only = 1; | |
| 5275 | 4211 for (octave_idx_type i = 0; i < nr; i++) |
| 4309 | 4212 { |
| 4213 OCTAVE_QUIT; | |
| 5315 | 4214 if (std::imag (a (i, j)) != 0.0 || std::imag (b (i, j)) != 0.0) |
| 4309 | 4215 { |
| 4216 columns_are_real_only = 0; | |
| 4217 break; | |
| 4218 } | |
| 4219 } | |
| 4220 | |
| 4221 if (columns_are_real_only) | |
| 4222 { | |
| 5275 | 4223 for (octave_idx_type i = 0; i < nr; i++) |
| 5315 | 4224 result (i, j) = xmin (std::real (a (i, j)), std::real (b (i, j))); |
| 4309 | 4225 } |
| 4226 else | |
| 4227 { | |
| 5275 | 4228 for (octave_idx_type i = 0; i < nr; i++) |
| 4309 | 4229 { |
| 4230 OCTAVE_QUIT; | |
| 4231 result (i, j) = xmin (a (i, j), b (i, j)); | |
| 4232 } | |
| 4233 } | |
| 4234 } | |
| 4235 | |
| 4236 return result; | |
| 4237 } | |
| 4238 | |
| 4239 ComplexMatrix | |
| 4240 max (const Complex& c, const ComplexMatrix& m) | |
| 4241 { | |
| 5275 | 4242 octave_idx_type nr = m.rows (); |
| 4243 octave_idx_type nc = m.columns (); | |
| 4309 | 4244 |
| 4245 EMPTY_RETURN_CHECK (ComplexMatrix); | |
| 4246 | |
| 4247 ComplexMatrix result (nr, nc); | |
| 4248 | |
| 5275 | 4249 for (octave_idx_type j = 0; j < nc; j++) |
| 4250 for (octave_idx_type i = 0; i < nr; i++) | |
| 4309 | 4251 { |
| 4252 OCTAVE_QUIT; | |
| 4253 result (i, j) = xmax (c, m (i, j)); | |
| 4254 } | |
| 4255 | |
| 4256 return result; | |
| 4257 } | |
| 4258 | |
| 4259 ComplexMatrix | |
| 4260 max (const ComplexMatrix& m, const Complex& c) | |
| 4261 { | |
| 5275 | 4262 octave_idx_type nr = m.rows (); |
| 4263 octave_idx_type nc = m.columns (); | |
| 4309 | 4264 |
| 4265 EMPTY_RETURN_CHECK (ComplexMatrix); | |
| 4266 | |
| 4267 ComplexMatrix result (nr, nc); | |
| 4268 | |
| 5275 | 4269 for (octave_idx_type j = 0; j < nc; j++) |
| 4270 for (octave_idx_type i = 0; i < nr; i++) | |
| 4309 | 4271 { |
| 4272 OCTAVE_QUIT; | |
| 4273 result (i, j) = xmax (m (i, j), c); | |
| 4274 } | |
| 4275 | |
| 4276 return result; | |
| 4277 } | |
| 4278 | |
| 4279 ComplexMatrix | |
| 4280 max (const ComplexMatrix& a, const ComplexMatrix& b) | |
| 4281 { | |
| 5275 | 4282 octave_idx_type nr = a.rows (); |
| 4283 octave_idx_type nc = a.columns (); | |
| 4309 | 4284 |
| 4285 if (nr != b.rows () || nc != b.columns ()) | |
| 4286 { | |
| 4287 (*current_liboctave_error_handler) | |
| 4288 ("two-arg max expecting args of same size"); | |
| 4289 return ComplexMatrix (); | |
| 4290 } | |
| 4291 | |
| 4292 EMPTY_RETURN_CHECK (ComplexMatrix); | |
| 4293 | |
| 4294 ComplexMatrix result (nr, nc); | |
| 4295 | |
| 5275 | 4296 for (octave_idx_type j = 0; j < nc; j++) |
| 4309 | 4297 { |
| 4298 int columns_are_real_only = 1; | |
| 5275 | 4299 for (octave_idx_type i = 0; i < nr; i++) |
| 4309 | 4300 { |
| 4301 OCTAVE_QUIT; | |
| 5315 | 4302 if (std::imag (a (i, j)) != 0.0 || std::imag (b (i, j)) != 0.0) |
| 4309 | 4303 { |
| 4304 columns_are_real_only = 0; | |
| 4305 break; | |
| 4306 } | |
| 4307 } | |
| 4308 | |
| 4309 if (columns_are_real_only) | |
| 4310 { | |
| 5275 | 4311 for (octave_idx_type i = 0; i < nr; i++) |
| 4309 | 4312 { |
| 4313 OCTAVE_QUIT; | |
| 5315 | 4314 result (i, j) = xmax (std::real (a (i, j)), std::real (b (i, j))); |
| 4309 | 4315 } |
| 4316 } | |
| 4317 else | |
| 4318 { | |
| 5275 | 4319 for (octave_idx_type i = 0; i < nr; i++) |
| 4309 | 4320 { |
| 4321 OCTAVE_QUIT; | |
| 4322 result (i, j) = xmax (a (i, j), b (i, j)); | |
| 4323 } | |
| 4324 } | |
| 4325 } | |
| 4326 | |
| 4327 return result; | |
| 4328 } | |
| 4329 | |
| 5315 | 4330 MS_CMP_OPS(ComplexMatrix, std::real, Complex, std::real) |
| 3504 | 4331 MS_BOOL_OPS(ComplexMatrix, Complex, 0.0) |
| 2870 | 4332 |
| 5315 | 4333 SM_CMP_OPS(Complex, std::real, ComplexMatrix, std::real) |
| 3504 | 4334 SM_BOOL_OPS(Complex, ComplexMatrix, 0.0) |
| 2870 | 4335 |
| 5315 | 4336 MM_CMP_OPS(ComplexMatrix, std::real, ComplexMatrix, std::real) |
| 3504 | 4337 MM_BOOL_OPS(ComplexMatrix, ComplexMatrix, 0.0) |
| 2870 | 4338 |
| 458 | 4339 /* |
| 4340 ;;; Local Variables: *** | |
| 4341 ;;; mode: C++ *** | |
| 4342 ;;; End: *** | |
| 4343 */ |