Mercurial > hg > octave-lyh
annotate liboctave/CMatrix.cc @ 8015:30629059b72d
Update the manual to reflect the changes in error output
| author | sh@sh-laptop |
|---|---|
| date | Wed, 06 Aug 2008 22:23:54 +0200 |
| parents | 935be827eaf8 |
| children | 851803f7bb4d |
| 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" |
| 458 | 43 #include "CmplxDET.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" |
| 458 | 59 |
| 4773 | 60 #if defined (HAVE_FFTW3) |
| 3827 | 61 #include "oct-fftw.h" |
| 62 #endif | |
| 63 | |
| 458 | 64 // Fortran functions we call. |
| 65 | |
| 66 extern "C" | |
| 67 { | |
| 7477 | 68 F77_RET_T |
| 69 F77_FUNC (xilaenv, XILAENV) (const octave_idx_type&, F77_CONST_CHAR_ARG_DECL, | |
| 70 F77_CONST_CHAR_ARG_DECL, | |
| 71 const octave_idx_type&, const octave_idx_type&, | |
| 7478 | 72 const octave_idx_type&, const octave_idx_type&, |
| 73 octave_idx_type& | |
| 74 F77_CHAR_ARG_LEN_DECL F77_CHAR_ARG_LEN_DECL); | |
| 7476 | 75 |
| 4552 | 76 F77_RET_T |
| 77 F77_FUNC (zgebal, ZGEBAL) (F77_CONST_CHAR_ARG_DECL, | |
| 5275 | 78 const octave_idx_type&, Complex*, const octave_idx_type&, octave_idx_type&, |
| 79 octave_idx_type&, double*, octave_idx_type& | |
| 4552 | 80 F77_CHAR_ARG_LEN_DECL); |
| 81 | |
| 82 F77_RET_T | |
| 83 F77_FUNC (dgebak, DGEBAK) (F77_CONST_CHAR_ARG_DECL, | |
| 84 F77_CONST_CHAR_ARG_DECL, | |
| 5275 | 85 const octave_idx_type&, const octave_idx_type&, const octave_idx_type&, double*, |
| 86 const octave_idx_type&, double*, const octave_idx_type&, octave_idx_type& | |
| 4552 | 87 F77_CHAR_ARG_LEN_DECL |
| 88 F77_CHAR_ARG_LEN_DECL); | |
| 89 | |
| 90 F77_RET_T | |
| 91 F77_FUNC (zgemm, ZGEMM) (F77_CONST_CHAR_ARG_DECL, | |
| 92 F77_CONST_CHAR_ARG_DECL, | |
| 5275 | 93 const octave_idx_type&, const octave_idx_type&, const octave_idx_type&, |
| 94 const Complex&, const Complex*, const octave_idx_type&, | |
| 95 const Complex*, const octave_idx_type&, const Complex&, | |
| 96 Complex*, const octave_idx_type& | |
| 4552 | 97 F77_CHAR_ARG_LEN_DECL |
| 98 F77_CHAR_ARG_LEN_DECL); | |
| 99 | |
| 100 F77_RET_T | |
| 5983 | 101 F77_FUNC (zgemv, ZGEMV) (F77_CONST_CHAR_ARG_DECL, |
| 102 const octave_idx_type&, const octave_idx_type&, const Complex&, | |
| 103 const Complex*, const octave_idx_type&, const Complex*, | |
| 104 const octave_idx_type&, const Complex&, Complex*, const octave_idx_type& | |
| 105 F77_CHAR_ARG_LEN_DECL); | |
| 106 | |
| 107 F77_RET_T | |
| 108 F77_FUNC (xzdotu, XZDOTU) (const octave_idx_type&, const Complex*, const octave_idx_type&, | |
| 109 const Complex*, const octave_idx_type&, Complex&); | |
| 110 | |
| 111 F77_RET_T | |
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112 F77_FUNC (xzdotc, XZDOTC) (const octave_idx_type&, const Complex*, const octave_idx_type&, |
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113 const Complex*, const octave_idx_type&, Complex&); |
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114 |
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115 F77_RET_T |
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116 F77_FUNC (zsyrk, ZSYRK) (F77_CONST_CHAR_ARG_DECL, |
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117 F77_CONST_CHAR_ARG_DECL, |
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118 const octave_idx_type&, const octave_idx_type&, |
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119 const Complex&, const Complex*, const octave_idx_type&, |
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120 const Complex&, Complex*, const octave_idx_type& |
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121 F77_CHAR_ARG_LEN_DECL |
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122 F77_CHAR_ARG_LEN_DECL); |
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123 |
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124 F77_RET_T |
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125 F77_FUNC (zherk, ZHERK) (F77_CONST_CHAR_ARG_DECL, |
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126 F77_CONST_CHAR_ARG_DECL, |
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127 const octave_idx_type&, const octave_idx_type&, |
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128 const Complex&, const Complex*, const octave_idx_type&, |
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129 const Complex&, Complex*, const octave_idx_type& |
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130 F77_CHAR_ARG_LEN_DECL |
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131 F77_CHAR_ARG_LEN_DECL); |
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132 |
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133 F77_RET_T |
| 5275 | 134 F77_FUNC (zgetrf, ZGETRF) (const octave_idx_type&, const octave_idx_type&, Complex*, const octave_idx_type&, |
| 135 octave_idx_type*, octave_idx_type&); | |
| 4552 | 136 |
| 137 F77_RET_T | |
| 138 F77_FUNC (zgetrs, ZGETRS) (F77_CONST_CHAR_ARG_DECL, | |
| 5275 | 139 const octave_idx_type&, const octave_idx_type&, Complex*, const octave_idx_type&, |
| 140 const octave_idx_type*, Complex*, const octave_idx_type&, octave_idx_type& | |
| 4552 | 141 F77_CHAR_ARG_LEN_DECL); |
| 142 | |
| 143 F77_RET_T | |
| 5275 | 144 F77_FUNC (zgetri, ZGETRI) (const octave_idx_type&, Complex*, const octave_idx_type&, const octave_idx_type*, |
| 145 Complex*, const octave_idx_type&, octave_idx_type&); | |
| 4552 | 146 |
| 147 F77_RET_T | |
| 148 F77_FUNC (zgecon, ZGECON) (F77_CONST_CHAR_ARG_DECL, | |
| 5275 | 149 const octave_idx_type&, Complex*, |
| 150 const octave_idx_type&, const double&, double&, | |
| 151 Complex*, double*, octave_idx_type& | |
| 4552 | 152 F77_CHAR_ARG_LEN_DECL); |
| 153 | |
| 154 F77_RET_T | |
| 7072 | 155 F77_FUNC (zgelsy, ZGELSY) (const octave_idx_type&, const octave_idx_type&, const octave_idx_type&, |
| 156 Complex*, const octave_idx_type&, Complex*, | |
| 157 const octave_idx_type&, octave_idx_type*, double&, octave_idx_type&, | |
| 158 Complex*, const octave_idx_type&, double*, octave_idx_type&); | |
| 159 | |
| 160 F77_RET_T | |
| 161 F77_FUNC (zgelsd, ZGELSD) (const octave_idx_type&, const octave_idx_type&, const octave_idx_type&, | |
| 5275 | 162 Complex*, const octave_idx_type&, Complex*, |
| 7071 | 163 const octave_idx_type&, double*, double&, octave_idx_type&, |
| 7072 | 164 Complex*, const octave_idx_type&, double*, |
| 165 octave_idx_type*, octave_idx_type&); | |
| 458 | 166 |
| 5785 | 167 F77_RET_T |
| 168 F77_FUNC (zpotrf, ZPOTRF) (F77_CONST_CHAR_ARG_DECL, const octave_idx_type&, | |
| 169 Complex*, const octave_idx_type&, | |
| 170 octave_idx_type& F77_CHAR_ARG_LEN_DECL); | |
| 171 | |
| 172 F77_RET_T | |
| 173 F77_FUNC (zpocon, ZPOCON) (F77_CONST_CHAR_ARG_DECL, const octave_idx_type&, | |
| 174 Complex*, const octave_idx_type&, const double&, | |
| 175 double&, Complex*, double*, | |
| 176 octave_idx_type& F77_CHAR_ARG_LEN_DECL); | |
| 177 | |
| 178 F77_RET_T | |
| 179 F77_FUNC (zpotrs, ZPOTRS) (F77_CONST_CHAR_ARG_DECL, const octave_idx_type&, | |
| 180 const octave_idx_type&, const Complex*, | |
| 181 const octave_idx_type&, Complex*, | |
| 182 const octave_idx_type&, octave_idx_type& | |
| 183 F77_CHAR_ARG_LEN_DECL); | |
| 184 | |
| 185 F77_RET_T | |
| 6207 | 186 F77_FUNC (ztrtri, ZTRTRI) (F77_CONST_CHAR_ARG_DECL, F77_CONST_CHAR_ARG_DECL, |
| 187 const octave_idx_type&, const Complex*, | |
| 188 const octave_idx_type&, octave_idx_type& | |
| 189 F77_CHAR_ARG_LEN_DECL | |
| 190 F77_CHAR_ARG_LEN_DECL); | |
| 191 | |
| 192 F77_RET_T | |
| 5785 | 193 F77_FUNC (ztrcon, ZTRCON) (F77_CONST_CHAR_ARG_DECL, F77_CONST_CHAR_ARG_DECL, |
| 194 F77_CONST_CHAR_ARG_DECL, const octave_idx_type&, | |
| 195 const Complex*, const octave_idx_type&, double&, | |
| 196 Complex*, double*, octave_idx_type& | |
| 197 F77_CHAR_ARG_LEN_DECL | |
| 198 F77_CHAR_ARG_LEN_DECL | |
| 199 F77_CHAR_ARG_LEN_DECL); | |
| 200 | |
| 201 F77_RET_T | |
| 202 F77_FUNC (ztrtrs, ZTRTRS) (F77_CONST_CHAR_ARG_DECL, F77_CONST_CHAR_ARG_DECL, | |
| 203 F77_CONST_CHAR_ARG_DECL, const octave_idx_type&, | |
| 204 const octave_idx_type&, const Complex*, | |
| 205 const octave_idx_type&, Complex*, | |
| 206 const octave_idx_type&, octave_idx_type& | |
| 207 F77_CHAR_ARG_LEN_DECL | |
| 208 F77_CHAR_ARG_LEN_DECL | |
| 209 F77_CHAR_ARG_LEN_DECL); | |
| 210 | |
| 1360 | 211 // Note that the original complex fft routines were not written for |
| 212 // double complex arguments. They have been modified by adding an | |
| 213 // implicit double precision (a-h,o-z) statement at the beginning of | |
| 214 // each subroutine. | |
| 458 | 215 |
| 4552 | 216 F77_RET_T |
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217 F77_FUNC (zffti, ZFFTI) (const octave_idx_type&, Complex*); |
| 4552 | 218 |
| 219 F77_RET_T | |
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220 F77_FUNC (zfftf, ZFFTF) (const octave_idx_type&, Complex*, Complex*); |
| 4552 | 221 |
| 222 F77_RET_T | |
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223 F77_FUNC (zfftb, ZFFTB) (const octave_idx_type&, Complex*, Complex*); |
| 4552 | 224 |
| 225 F77_RET_T | |
| 226 F77_FUNC (zlartg, ZLARTG) (const Complex&, const Complex&, | |
| 227 double&, Complex&, Complex&); | |
| 228 | |
| 229 F77_RET_T | |
| 230 F77_FUNC (ztrsyl, ZTRSYL) (F77_CONST_CHAR_ARG_DECL, | |
| 231 F77_CONST_CHAR_ARG_DECL, | |
| 5275 | 232 const octave_idx_type&, const octave_idx_type&, const octave_idx_type&, |
| 233 const Complex*, const octave_idx_type&, | |
| 234 const Complex*, const octave_idx_type&, | |
| 235 const Complex*, const octave_idx_type&, double&, octave_idx_type& | |
| 4552 | 236 F77_CHAR_ARG_LEN_DECL |
| 237 F77_CHAR_ARG_LEN_DECL); | |
| 238 | |
| 239 F77_RET_T | |
| 240 F77_FUNC (xzlange, XZLANGE) (F77_CONST_CHAR_ARG_DECL, | |
| 5275 | 241 const octave_idx_type&, const octave_idx_type&, const Complex*, |
| 242 const octave_idx_type&, double*, double& | |
| 4552 | 243 F77_CHAR_ARG_LEN_DECL); |
| 458 | 244 } |
| 245 | |
| 2354 | 246 static const Complex Complex_NaN_result (octave_NaN, octave_NaN); |
| 247 | |
| 1360 | 248 // Complex Matrix class |
| 458 | 249 |
| 250 ComplexMatrix::ComplexMatrix (const Matrix& a) | |
| 1214 | 251 : MArray2<Complex> (a.rows (), a.cols ()) |
| 458 | 252 { |
| 5275 | 253 for (octave_idx_type j = 0; j < cols (); j++) |
| 254 for (octave_idx_type i = 0; i < rows (); i++) | |
| 458 | 255 elem (i, j) = a.elem (i, j); |
| 256 } | |
| 257 | |
| 2349 | 258 ComplexMatrix::ComplexMatrix (const RowVector& rv) |
| 259 : MArray2<Complex> (1, rv.length (), 0.0) | |
| 260 { | |
| 5275 | 261 for (octave_idx_type i = 0; i < rv.length (); i++) |
| 2349 | 262 elem (0, i) = rv.elem (i); |
| 263 } | |
| 264 | |
| 265 ComplexMatrix::ComplexMatrix (const ColumnVector& cv) | |
| 266 : MArray2<Complex> (cv.length (), 1, 0.0) | |
| 267 { | |
| 5275 | 268 for (octave_idx_type i = 0; i < cv.length (); i++) |
| 2349 | 269 elem (i, 0) = cv.elem (i); |
| 270 } | |
| 271 | |
| 458 | 272 ComplexMatrix::ComplexMatrix (const DiagMatrix& a) |
| 1214 | 273 : MArray2<Complex> (a.rows (), a.cols (), 0.0) |
| 458 | 274 { |
| 5275 | 275 for (octave_idx_type i = 0; i < a.length (); i++) |
| 458 | 276 elem (i, i) = a.elem (i, i); |
| 277 } | |
| 278 | |
| 2349 | 279 ComplexMatrix::ComplexMatrix (const ComplexRowVector& rv) |
| 280 : MArray2<Complex> (1, rv.length (), 0.0) | |
| 281 { | |
| 5275 | 282 for (octave_idx_type i = 0; i < rv.length (); i++) |
| 2349 | 283 elem (0, i) = rv.elem (i); |
| 284 } | |
| 285 | |
| 286 ComplexMatrix::ComplexMatrix (const ComplexColumnVector& cv) | |
| 287 : MArray2<Complex> (cv.length (), 1, 0.0) | |
| 288 { | |
| 5275 | 289 for (octave_idx_type i = 0; i < cv.length (); i++) |
| 2349 | 290 elem (i, 0) = cv.elem (i); |
| 291 } | |
| 292 | |
| 458 | 293 ComplexMatrix::ComplexMatrix (const ComplexDiagMatrix& a) |
| 1214 | 294 : MArray2<Complex> (a.rows (), a.cols (), 0.0) |
| 458 | 295 { |
| 5275 | 296 for (octave_idx_type i = 0; i < a.length (); i++) |
| 458 | 297 elem (i, i) = a.elem (i, i); |
| 298 } | |
| 299 | |
| 5775 | 300 // FIXME -- could we use a templated mixed-type copy function |
| 1574 | 301 // here? |
| 302 | |
| 2828 | 303 ComplexMatrix::ComplexMatrix (const boolMatrix& a) |
| 3180 | 304 : MArray2<Complex> (a.rows (), a.cols (), 0.0) |
| 2828 | 305 { |
| 5275 | 306 for (octave_idx_type i = 0; i < a.rows (); i++) |
| 307 for (octave_idx_type j = 0; j < a.cols (); j++) | |
| 2828 | 308 elem (i, j) = a.elem (i, j); |
| 309 } | |
| 310 | |
| 1574 | 311 ComplexMatrix::ComplexMatrix (const charMatrix& a) |
| 3180 | 312 : MArray2<Complex> (a.rows (), a.cols (), 0.0) |
| 1574 | 313 { |
| 5275 | 314 for (octave_idx_type i = 0; i < a.rows (); i++) |
| 315 for (octave_idx_type j = 0; j < a.cols (); j++) | |
| 1574 | 316 elem (i, j) = a.elem (i, j); |
| 317 } | |
| 318 | |
| 2384 | 319 bool |
| 458 | 320 ComplexMatrix::operator == (const ComplexMatrix& a) const |
| 321 { | |
| 322 if (rows () != a.rows () || cols () != a.cols ()) | |
| 2384 | 323 return false; |
| 458 | 324 |
| 3769 | 325 return mx_inline_equal (data (), a.data (), length ()); |
| 458 | 326 } |
| 327 | |
| 2384 | 328 bool |
| 458 | 329 ComplexMatrix::operator != (const ComplexMatrix& a) const |
| 330 { | |
| 331 return !(*this == a); | |
| 332 } | |
| 333 | |
| 2815 | 334 bool |
| 335 ComplexMatrix::is_hermitian (void) const | |
| 336 { | |
| 5275 | 337 octave_idx_type nr = rows (); |
| 338 octave_idx_type nc = cols (); | |
| 2815 | 339 |
| 340 if (is_square () && nr > 0) | |
| 341 { | |
| 5275 | 342 for (octave_idx_type i = 0; i < nr; i++) |
| 343 for (octave_idx_type j = i; j < nc; j++) | |
| 2815 | 344 if (elem (i, j) != conj (elem (j, i))) |
| 345 return false; | |
| 346 | |
| 347 return true; | |
| 348 } | |
| 349 | |
| 350 return false; | |
| 351 } | |
| 352 | |
| 458 | 353 // destructive insert/delete/reorder operations |
| 354 | |
| 355 ComplexMatrix& | |
| 5275 | 356 ComplexMatrix::insert (const Matrix& a, octave_idx_type r, octave_idx_type c) |
| 458 | 357 { |
| 5275 | 358 octave_idx_type a_nr = a.rows (); |
| 359 octave_idx_type a_nc = a.cols (); | |
| 1699 | 360 |
| 361 if (r < 0 || r + a_nr > rows () || c < 0 || c + a_nc > cols ()) | |
| 458 | 362 { |
| 363 (*current_liboctave_error_handler) ("range error for insert"); | |
| 364 return *this; | |
| 365 } | |
| 366 | |
| 4316 | 367 if (a_nr >0 && a_nc > 0) |
| 368 { | |
| 369 make_unique (); | |
| 370 | |
| 5275 | 371 for (octave_idx_type j = 0; j < a_nc; j++) |
| 372 for (octave_idx_type i = 0; i < a_nr; i++) | |
| 4316 | 373 xelem (r+i, c+j) = a.elem (i, j); |
| 374 } | |
| 458 | 375 |
| 376 return *this; | |
| 377 } | |
| 378 | |
| 379 ComplexMatrix& | |
| 5275 | 380 ComplexMatrix::insert (const RowVector& a, octave_idx_type r, octave_idx_type c) |
| 458 | 381 { |
| 5275 | 382 octave_idx_type a_len = a.length (); |
| 4316 | 383 |
| 1699 | 384 if (r < 0 || r >= rows () || c < 0 || c + a_len > cols ()) |
| 458 | 385 { |
| 386 (*current_liboctave_error_handler) ("range error for insert"); | |
| 387 return *this; | |
| 388 } | |
| 389 | |
| 4316 | 390 if (a_len > 0) |
| 391 { | |
| 392 make_unique (); | |
| 393 | |
| 5275 | 394 for (octave_idx_type i = 0; i < a_len; i++) |
| 4316 | 395 xelem (r, c+i) = a.elem (i); |
| 396 } | |
| 458 | 397 |
| 398 return *this; | |
| 399 } | |
| 400 | |
| 401 ComplexMatrix& | |
| 5275 | 402 ComplexMatrix::insert (const ColumnVector& a, octave_idx_type r, octave_idx_type c) |
| 458 | 403 { |
| 5275 | 404 octave_idx_type a_len = a.length (); |
| 4316 | 405 |
| 1699 | 406 if (r < 0 || r + a_len > rows () || c < 0 || c >= cols ()) |
| 458 | 407 { |
| 408 (*current_liboctave_error_handler) ("range error for insert"); | |
| 409 return *this; | |
| 410 } | |
| 411 | |
| 4316 | 412 if (a_len > 0) |
| 413 { | |
| 414 make_unique (); | |
| 415 | |
| 5275 | 416 for (octave_idx_type i = 0; i < a_len; i++) |
| 4316 | 417 xelem (r+i, c) = a.elem (i); |
| 418 } | |
| 458 | 419 |
| 420 return *this; | |
| 421 } | |
| 422 | |
| 423 ComplexMatrix& | |
| 5275 | 424 ComplexMatrix::insert (const DiagMatrix& a, octave_idx_type r, octave_idx_type c) |
| 458 | 425 { |
| 5275 | 426 octave_idx_type a_nr = a.rows (); |
| 427 octave_idx_type a_nc = a.cols (); | |
| 1699 | 428 |
| 429 if (r < 0 || r + a_nr > rows () || c < 0 || c + a_nc > cols ()) | |
| 458 | 430 { |
| 431 (*current_liboctave_error_handler) ("range error for insert"); | |
| 432 return *this; | |
| 433 } | |
| 434 | |
| 1699 | 435 fill (0.0, r, c, r + a_nr - 1, c + a_nc - 1); |
| 436 | |
| 5275 | 437 octave_idx_type a_len = a.length (); |
| 4316 | 438 |
| 439 if (a_len > 0) | |
| 440 { | |
| 441 make_unique (); | |
| 442 | |
| 5275 | 443 for (octave_idx_type i = 0; i < a_len; i++) |
| 4316 | 444 xelem (r+i, c+i) = a.elem (i, i); |
| 445 } | |
| 458 | 446 |
| 447 return *this; | |
| 448 } | |
| 449 | |
| 450 ComplexMatrix& | |
| 5275 | 451 ComplexMatrix::insert (const ComplexMatrix& a, octave_idx_type r, octave_idx_type c) |
| 458 | 452 { |
| 1561 | 453 Array2<Complex>::insert (a, r, c); |
| 458 | 454 return *this; |
| 455 } | |
| 456 | |
| 457 ComplexMatrix& | |
| 5275 | 458 ComplexMatrix::insert (const ComplexRowVector& a, octave_idx_type r, octave_idx_type c) |
| 458 | 459 { |
| 5275 | 460 octave_idx_type a_len = a.length (); |
| 1699 | 461 if (r < 0 || r >= rows () || c < 0 || c + a_len > cols ()) |
| 458 | 462 { |
| 463 (*current_liboctave_error_handler) ("range error for insert"); | |
| 464 return *this; | |
| 465 } | |
| 466 | |
| 5275 | 467 for (octave_idx_type i = 0; i < a_len; i++) |
| 458 | 468 elem (r, c+i) = a.elem (i); |
| 469 | |
| 470 return *this; | |
| 471 } | |
| 472 | |
| 473 ComplexMatrix& | |
| 5275 | 474 ComplexMatrix::insert (const ComplexColumnVector& a, octave_idx_type r, octave_idx_type c) |
| 458 | 475 { |
| 5275 | 476 octave_idx_type a_len = a.length (); |
| 4316 | 477 |
| 1699 | 478 if (r < 0 || r + a_len > rows () || c < 0 || c >= cols ()) |
| 458 | 479 { |
| 480 (*current_liboctave_error_handler) ("range error for insert"); | |
| 481 return *this; | |
| 482 } | |
| 483 | |
| 4316 | 484 if (a_len > 0) |
| 485 { | |
| 486 make_unique (); | |
| 487 | |
| 5275 | 488 for (octave_idx_type i = 0; i < a_len; i++) |
| 4316 | 489 xelem (r+i, c) = a.elem (i); |
| 490 } | |
| 458 | 491 |
| 492 return *this; | |
| 493 } | |
| 494 | |
| 495 ComplexMatrix& | |
| 5275 | 496 ComplexMatrix::insert (const ComplexDiagMatrix& a, octave_idx_type r, octave_idx_type c) |
| 458 | 497 { |
| 5275 | 498 octave_idx_type a_nr = a.rows (); |
| 499 octave_idx_type a_nc = a.cols (); | |
| 1699 | 500 |
| 501 if (r < 0 || r + a_nr > rows () || c < 0 || c + a_nc > cols ()) | |
| 458 | 502 { |
| 503 (*current_liboctave_error_handler) ("range error for insert"); | |
| 504 return *this; | |
| 505 } | |
| 506 | |
| 1699 | 507 fill (0.0, r, c, r + a_nr - 1, c + a_nc - 1); |
| 508 | |
| 5275 | 509 octave_idx_type a_len = a.length (); |
| 4316 | 510 |
| 511 if (a_len > 0) | |
| 512 { | |
| 513 make_unique (); | |
| 514 | |
| 5275 | 515 for (octave_idx_type i = 0; i < a_len; i++) |
| 4316 | 516 xelem (r+i, c+i) = a.elem (i, i); |
| 517 } | |
| 458 | 518 |
| 519 return *this; | |
| 520 } | |
| 521 | |
| 522 ComplexMatrix& | |
| 523 ComplexMatrix::fill (double val) | |
| 524 { | |
| 5275 | 525 octave_idx_type nr = rows (); |
| 526 octave_idx_type nc = cols (); | |
| 4316 | 527 |
| 458 | 528 if (nr > 0 && nc > 0) |
| 4316 | 529 { |
| 530 make_unique (); | |
| 531 | |
| 5275 | 532 for (octave_idx_type j = 0; j < nc; j++) |
| 533 for (octave_idx_type i = 0; i < nr; i++) | |
| 4316 | 534 xelem (i, j) = val; |
| 535 } | |
| 458 | 536 |
| 537 return *this; | |
| 538 } | |
| 539 | |
| 540 ComplexMatrix& | |
| 541 ComplexMatrix::fill (const Complex& val) | |
| 542 { | |
| 5275 | 543 octave_idx_type nr = rows (); |
| 544 octave_idx_type nc = cols (); | |
| 4316 | 545 |
| 458 | 546 if (nr > 0 && nc > 0) |
| 4316 | 547 { |
| 548 make_unique (); | |
| 549 | |
| 5275 | 550 for (octave_idx_type j = 0; j < nc; j++) |
| 551 for (octave_idx_type i = 0; i < nr; i++) | |
| 4316 | 552 xelem (i, j) = val; |
| 553 } | |
| 458 | 554 |
| 555 return *this; | |
| 556 } | |
| 557 | |
| 558 ComplexMatrix& | |
| 5275 | 559 ComplexMatrix::fill (double val, octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2) |
| 458 | 560 { |
| 5275 | 561 octave_idx_type nr = rows (); |
| 562 octave_idx_type nc = cols (); | |
| 4316 | 563 |
| 458 | 564 if (r1 < 0 || r2 < 0 || c1 < 0 || c2 < 0 |
| 565 || r1 >= nr || r2 >= nr || c1 >= nc || c2 >= nc) | |
| 566 { | |
| 567 (*current_liboctave_error_handler) ("range error for fill"); | |
| 568 return *this; | |
| 569 } | |
| 570 | |
| 5275 | 571 if (r1 > r2) { octave_idx_type tmp = r1; r1 = r2; r2 = tmp; } |
| 572 if (c1 > c2) { octave_idx_type tmp = c1; c1 = c2; c2 = tmp; } | |
| 458 | 573 |
| 4316 | 574 if (r2 >= r1 && c2 >= c1) |
| 575 { | |
| 576 make_unique (); | |
| 577 | |
| 5275 | 578 for (octave_idx_type j = c1; j <= c2; j++) |
| 579 for (octave_idx_type i = r1; i <= r2; i++) | |
| 4316 | 580 xelem (i, j) = val; |
| 581 } | |
| 458 | 582 |
| 583 return *this; | |
| 584 } | |
| 585 | |
| 586 ComplexMatrix& | |
| 5275 | 587 ComplexMatrix::fill (const Complex& val, octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2) |
| 458 | 588 { |
| 5275 | 589 octave_idx_type nr = rows (); |
| 590 octave_idx_type nc = cols (); | |
| 4316 | 591 |
| 458 | 592 if (r1 < 0 || r2 < 0 || c1 < 0 || c2 < 0 |
| 593 || r1 >= nr || r2 >= nr || c1 >= nc || c2 >= nc) | |
| 594 { | |
| 595 (*current_liboctave_error_handler) ("range error for fill"); | |
| 596 return *this; | |
| 597 } | |
| 598 | |
| 5275 | 599 if (r1 > r2) { octave_idx_type tmp = r1; r1 = r2; r2 = tmp; } |
| 600 if (c1 > c2) { octave_idx_type tmp = c1; c1 = c2; c2 = tmp; } | |
| 458 | 601 |
| 4316 | 602 if (r2 >= r1 && c2 >=c1) |
| 603 { | |
| 604 make_unique (); | |
| 605 | |
| 5275 | 606 for (octave_idx_type j = c1; j <= c2; j++) |
| 607 for (octave_idx_type i = r1; i <= r2; i++) | |
| 4316 | 608 xelem (i, j) = val; |
| 609 } | |
| 458 | 610 |
| 611 return *this; | |
| 612 } | |
| 613 | |
| 614 ComplexMatrix | |
| 615 ComplexMatrix::append (const Matrix& a) const | |
| 616 { | |
| 5275 | 617 octave_idx_type nr = rows (); |
| 618 octave_idx_type nc = cols (); | |
| 458 | 619 if (nr != a.rows ()) |
| 620 { | |
| 621 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 622 return *this; | |
| 623 } | |
| 624 | |
| 5275 | 625 octave_idx_type nc_insert = nc; |
| 458 | 626 ComplexMatrix retval (nr, nc + a.cols ()); |
| 627 retval.insert (*this, 0, 0); | |
| 628 retval.insert (a, 0, nc_insert); | |
| 629 return retval; | |
| 630 } | |
| 631 | |
| 632 ComplexMatrix | |
| 633 ComplexMatrix::append (const RowVector& a) const | |
| 634 { | |
| 5275 | 635 octave_idx_type nr = rows (); |
| 636 octave_idx_type nc = cols (); | |
| 458 | 637 if (nr != 1) |
| 638 { | |
| 639 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 640 return *this; | |
| 641 } | |
| 642 | |
| 5275 | 643 octave_idx_type nc_insert = nc; |
| 458 | 644 ComplexMatrix retval (nr, nc + a.length ()); |
| 645 retval.insert (*this, 0, 0); | |
| 646 retval.insert (a, 0, nc_insert); | |
| 647 return retval; | |
| 648 } | |
| 649 | |
| 650 ComplexMatrix | |
| 651 ComplexMatrix::append (const ColumnVector& a) const | |
| 652 { | |
| 5275 | 653 octave_idx_type nr = rows (); |
| 654 octave_idx_type nc = cols (); | |
| 458 | 655 if (nr != a.length ()) |
| 656 { | |
| 657 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 658 return *this; | |
| 659 } | |
| 660 | |
| 5275 | 661 octave_idx_type nc_insert = nc; |
| 458 | 662 ComplexMatrix retval (nr, nc + 1); |
| 663 retval.insert (*this, 0, 0); | |
| 664 retval.insert (a, 0, nc_insert); | |
| 665 return retval; | |
| 666 } | |
| 667 | |
| 668 ComplexMatrix | |
| 669 ComplexMatrix::append (const DiagMatrix& a) const | |
| 670 { | |
| 5275 | 671 octave_idx_type nr = rows (); |
| 672 octave_idx_type nc = cols (); | |
| 458 | 673 if (nr != a.rows ()) |
| 674 { | |
| 675 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 676 return *this; | |
| 677 } | |
| 678 | |
| 5275 | 679 octave_idx_type nc_insert = nc; |
| 458 | 680 ComplexMatrix retval (nr, nc + a.cols ()); |
| 681 retval.insert (*this, 0, 0); | |
| 682 retval.insert (a, 0, nc_insert); | |
| 683 return retval; | |
| 684 } | |
| 685 | |
| 686 ComplexMatrix | |
| 687 ComplexMatrix::append (const ComplexMatrix& a) const | |
| 688 { | |
| 5275 | 689 octave_idx_type nr = rows (); |
| 690 octave_idx_type nc = cols (); | |
| 458 | 691 if (nr != a.rows ()) |
| 692 { | |
| 693 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 694 return *this; | |
| 695 } | |
| 696 | |
| 5275 | 697 octave_idx_type nc_insert = nc; |
| 458 | 698 ComplexMatrix retval (nr, nc + a.cols ()); |
| 699 retval.insert (*this, 0, 0); | |
| 700 retval.insert (a, 0, nc_insert); | |
| 701 return retval; | |
| 702 } | |
| 703 | |
| 704 ComplexMatrix | |
| 705 ComplexMatrix::append (const ComplexRowVector& a) const | |
| 706 { | |
| 5275 | 707 octave_idx_type nr = rows (); |
| 708 octave_idx_type nc = cols (); | |
| 458 | 709 if (nr != 1) |
| 710 { | |
| 711 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 712 return *this; | |
| 713 } | |
| 714 | |
| 5275 | 715 octave_idx_type nc_insert = nc; |
| 458 | 716 ComplexMatrix retval (nr, nc + a.length ()); |
| 717 retval.insert (*this, 0, 0); | |
| 718 retval.insert (a, 0, nc_insert); | |
| 719 return retval; | |
| 720 } | |
| 721 | |
| 722 ComplexMatrix | |
| 723 ComplexMatrix::append (const ComplexColumnVector& a) const | |
| 724 { | |
| 5275 | 725 octave_idx_type nr = rows (); |
| 726 octave_idx_type nc = cols (); | |
| 458 | 727 if (nr != a.length ()) |
| 728 { | |
| 729 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 730 return *this; | |
| 731 } | |
| 732 | |
| 5275 | 733 octave_idx_type nc_insert = nc; |
| 458 | 734 ComplexMatrix retval (nr, nc + 1); |
| 735 retval.insert (*this, 0, 0); | |
| 736 retval.insert (a, 0, nc_insert); | |
| 737 return retval; | |
| 738 } | |
| 739 | |
| 740 ComplexMatrix | |
| 741 ComplexMatrix::append (const ComplexDiagMatrix& a) const | |
| 742 { | |
| 5275 | 743 octave_idx_type nr = rows (); |
| 744 octave_idx_type nc = cols (); | |
| 458 | 745 if (nr != a.rows ()) |
| 746 { | |
| 747 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 748 return *this; | |
| 749 } | |
| 750 | |
| 5275 | 751 octave_idx_type nc_insert = nc; |
| 458 | 752 ComplexMatrix retval (nr, nc + a.cols ()); |
| 753 retval.insert (*this, 0, 0); | |
| 754 retval.insert (a, 0, nc_insert); | |
| 755 return retval; | |
| 756 } | |
| 757 | |
| 758 ComplexMatrix | |
| 759 ComplexMatrix::stack (const Matrix& a) const | |
| 760 { | |
| 5275 | 761 octave_idx_type nr = rows (); |
| 762 octave_idx_type nc = cols (); | |
| 458 | 763 if (nc != a.cols ()) |
| 764 { | |
| 765 (*current_liboctave_error_handler) | |
| 766 ("column dimension mismatch for stack"); | |
| 767 return *this; | |
| 768 } | |
| 769 | |
| 5275 | 770 octave_idx_type nr_insert = nr; |
| 458 | 771 ComplexMatrix retval (nr + a.rows (), nc); |
| 772 retval.insert (*this, 0, 0); | |
| 773 retval.insert (a, nr_insert, 0); | |
| 774 return retval; | |
| 775 } | |
| 776 | |
| 777 ComplexMatrix | |
| 778 ComplexMatrix::stack (const RowVector& a) const | |
| 779 { | |
| 5275 | 780 octave_idx_type nr = rows (); |
| 781 octave_idx_type nc = cols (); | |
| 458 | 782 if (nc != a.length ()) |
| 783 { | |
| 784 (*current_liboctave_error_handler) | |
| 785 ("column dimension mismatch for stack"); | |
| 786 return *this; | |
| 787 } | |
| 788 | |
| 5275 | 789 octave_idx_type nr_insert = nr; |
| 458 | 790 ComplexMatrix retval (nr + 1, nc); |
| 791 retval.insert (*this, 0, 0); | |
| 792 retval.insert (a, nr_insert, 0); | |
| 793 return retval; | |
| 794 } | |
| 795 | |
| 796 ComplexMatrix | |
| 797 ComplexMatrix::stack (const ColumnVector& a) const | |
| 798 { | |
| 5275 | 799 octave_idx_type nr = rows (); |
| 800 octave_idx_type nc = cols (); | |
| 458 | 801 if (nc != 1) |
| 802 { | |
| 803 (*current_liboctave_error_handler) | |
| 804 ("column dimension mismatch for stack"); | |
| 805 return *this; | |
| 806 } | |
| 807 | |
| 5275 | 808 octave_idx_type nr_insert = nr; |
| 458 | 809 ComplexMatrix retval (nr + a.length (), nc); |
| 810 retval.insert (*this, 0, 0); | |
| 811 retval.insert (a, nr_insert, 0); | |
| 812 return retval; | |
| 813 } | |
| 814 | |
| 815 ComplexMatrix | |
| 816 ComplexMatrix::stack (const DiagMatrix& a) const | |
| 817 { | |
| 5275 | 818 octave_idx_type nr = rows (); |
| 819 octave_idx_type nc = cols (); | |
| 458 | 820 if (nc != a.cols ()) |
| 821 { | |
| 822 (*current_liboctave_error_handler) | |
| 823 ("column dimension mismatch for stack"); | |
| 824 return *this; | |
| 825 } | |
| 826 | |
| 5275 | 827 octave_idx_type nr_insert = nr; |
| 458 | 828 ComplexMatrix retval (nr + a.rows (), nc); |
| 829 retval.insert (*this, 0, 0); | |
| 830 retval.insert (a, nr_insert, 0); | |
| 831 return retval; | |
| 832 } | |
| 833 | |
| 834 ComplexMatrix | |
| 835 ComplexMatrix::stack (const ComplexMatrix& a) const | |
| 836 { | |
| 5275 | 837 octave_idx_type nr = rows (); |
| 838 octave_idx_type nc = cols (); | |
| 458 | 839 if (nc != a.cols ()) |
| 840 { | |
| 841 (*current_liboctave_error_handler) | |
| 842 ("column dimension mismatch for stack"); | |
| 843 return *this; | |
| 844 } | |
| 845 | |
| 5275 | 846 octave_idx_type nr_insert = nr; |
| 458 | 847 ComplexMatrix retval (nr + a.rows (), nc); |
| 848 retval.insert (*this, 0, 0); | |
| 849 retval.insert (a, nr_insert, 0); | |
| 850 return retval; | |
| 851 } | |
| 852 | |
| 853 ComplexMatrix | |
| 854 ComplexMatrix::stack (const ComplexRowVector& a) const | |
| 855 { | |
| 5275 | 856 octave_idx_type nr = rows (); |
| 857 octave_idx_type nc = cols (); | |
| 458 | 858 if (nc != a.length ()) |
| 859 { | |
| 860 (*current_liboctave_error_handler) | |
| 861 ("column dimension mismatch for stack"); | |
| 862 return *this; | |
| 863 } | |
| 864 | |
| 5275 | 865 octave_idx_type nr_insert = nr; |
| 458 | 866 ComplexMatrix retval (nr + 1, nc); |
| 867 retval.insert (*this, 0, 0); | |
| 868 retval.insert (a, nr_insert, 0); | |
| 869 return retval; | |
| 870 } | |
| 871 | |
| 872 ComplexMatrix | |
| 873 ComplexMatrix::stack (const ComplexColumnVector& a) const | |
| 874 { | |
| 5275 | 875 octave_idx_type nr = rows (); |
| 876 octave_idx_type nc = cols (); | |
| 458 | 877 if (nc != 1) |
| 878 { | |
| 879 (*current_liboctave_error_handler) | |
| 880 ("column dimension mismatch for stack"); | |
| 881 return *this; | |
| 882 } | |
| 883 | |
| 5275 | 884 octave_idx_type nr_insert = nr; |
| 458 | 885 ComplexMatrix retval (nr + a.length (), nc); |
| 886 retval.insert (*this, 0, 0); | |
| 887 retval.insert (a, nr_insert, 0); | |
| 888 return retval; | |
| 889 } | |
| 890 | |
| 891 ComplexMatrix | |
| 892 ComplexMatrix::stack (const ComplexDiagMatrix& a) const | |
| 893 { | |
| 5275 | 894 octave_idx_type nr = rows (); |
| 895 octave_idx_type nc = cols (); | |
| 458 | 896 if (nc != a.cols ()) |
| 897 { | |
| 898 (*current_liboctave_error_handler) | |
| 899 ("column dimension mismatch for stack"); | |
| 900 return *this; | |
| 901 } | |
| 902 | |
| 5275 | 903 octave_idx_type nr_insert = nr; |
| 458 | 904 ComplexMatrix retval (nr + a.rows (), nc); |
| 905 retval.insert (*this, 0, 0); | |
| 906 retval.insert (a, nr_insert, 0); | |
| 907 return retval; | |
| 908 } | |
| 909 | |
| 910 ComplexMatrix | |
| 911 conj (const ComplexMatrix& a) | |
| 912 { | |
| 5275 | 913 octave_idx_type a_len = a.length (); |
| 458 | 914 ComplexMatrix retval; |
| 915 if (a_len > 0) | |
| 3769 | 916 retval = ComplexMatrix (mx_inline_conj_dup (a.data (), a_len), |
| 917 a.rows (), a.cols ()); | |
| 458 | 918 return retval; |
| 919 } | |
| 920 | |
| 921 // resize is the destructive equivalent for this one | |
| 922 | |
| 923 ComplexMatrix | |
| 5275 | 924 ComplexMatrix::extract (octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2) const |
| 458 | 925 { |
| 5275 | 926 if (r1 > r2) { octave_idx_type tmp = r1; r1 = r2; r2 = tmp; } |
| 927 if (c1 > c2) { octave_idx_type tmp = c1; c1 = c2; c2 = tmp; } | |
| 928 | |
| 929 octave_idx_type new_r = r2 - r1 + 1; | |
| 930 octave_idx_type new_c = c2 - c1 + 1; | |
| 458 | 931 |
| 932 ComplexMatrix result (new_r, new_c); | |
| 933 | |
| 5275 | 934 for (octave_idx_type j = 0; j < new_c; j++) |
| 935 for (octave_idx_type i = 0; i < new_r; i++) | |
| 4316 | 936 result.xelem (i, j) = elem (r1+i, c1+j); |
| 937 | |
| 938 return result; | |
| 939 } | |
| 940 | |
| 941 ComplexMatrix | |
| 5275 | 942 ComplexMatrix::extract_n (octave_idx_type r1, octave_idx_type c1, octave_idx_type nr, octave_idx_type nc) const |
| 4316 | 943 { |
| 944 ComplexMatrix result (nr, nc); | |
| 945 | |
| 5275 | 946 for (octave_idx_type j = 0; j < nc; j++) |
| 947 for (octave_idx_type i = 0; i < nr; i++) | |
| 4316 | 948 result.xelem (i, j) = elem (r1+i, c1+j); |
| 458 | 949 |
| 950 return result; | |
| 951 } | |
| 952 | |
| 953 // extract row or column i. | |
| 954 | |
| 955 ComplexRowVector | |
| 5275 | 956 ComplexMatrix::row (octave_idx_type i) const |
| 458 | 957 { |
| 5275 | 958 octave_idx_type nc = cols (); |
| 458 | 959 if (i < 0 || i >= rows ()) |
| 960 { | |
| 961 (*current_liboctave_error_handler) ("invalid row selection"); | |
| 962 return ComplexRowVector (); | |
| 963 } | |
| 964 | |
| 965 ComplexRowVector retval (nc); | |
| 5275 | 966 for (octave_idx_type j = 0; j < cols (); j++) |
| 4316 | 967 retval.xelem (j) = elem (i, j); |
| 458 | 968 |
| 969 return retval; | |
| 970 } | |
| 971 | |
| 972 ComplexColumnVector | |
| 5275 | 973 ComplexMatrix::column (octave_idx_type i) const |
| 458 | 974 { |
| 5275 | 975 octave_idx_type nr = rows (); |
| 458 | 976 if (i < 0 || i >= cols ()) |
| 977 { | |
| 978 (*current_liboctave_error_handler) ("invalid column selection"); | |
| 979 return ComplexColumnVector (); | |
| 980 } | |
| 981 | |
| 982 ComplexColumnVector retval (nr); | |
| 5275 | 983 for (octave_idx_type j = 0; j < nr; j++) |
| 4316 | 984 retval.xelem (j) = elem (j, i); |
| 458 | 985 |
| 986 return retval; | |
| 987 } | |
| 988 | |
| 989 ComplexMatrix | |
| 990 ComplexMatrix::inverse (void) const | |
| 991 { | |
| 5275 | 992 octave_idx_type info; |
| 7788 | 993 double rcon; |
| 6207 | 994 MatrixType mattype (*this); |
| 7788 | 995 return inverse (mattype, info, rcon, 0, 0); |
| 6207 | 996 } |
| 997 | |
| 998 ComplexMatrix | |
| 6479 | 999 ComplexMatrix::inverse (octave_idx_type& info) const |
| 1000 { | |
| 7788 | 1001 double rcon; |
| 6479 | 1002 MatrixType mattype (*this); |
| 7788 | 1003 return inverse (mattype, info, rcon, 0, 0); |
| 6479 | 1004 } |
| 1005 | |
| 1006 ComplexMatrix | |
| 7788 | 1007 ComplexMatrix::inverse (octave_idx_type& info, double& rcon, int force, |
| 6479 | 1008 int calc_cond) const |
| 1009 { | |
| 1010 MatrixType mattype (*this); | |
| 7788 | 1011 return inverse (mattype, info, rcon, force, calc_cond); |
| 6479 | 1012 } |
| 1013 | |
| 1014 ComplexMatrix | |
| 6207 | 1015 ComplexMatrix::inverse (MatrixType &mattype) const |
| 1016 { | |
| 1017 octave_idx_type info; | |
| 7788 | 1018 double rcon; |
| 1019 return inverse (mattype, info, rcon, 0, 0); | |
| 6207 | 1020 } |
| 1021 | |
| 1022 ComplexMatrix | |
| 1023 ComplexMatrix::inverse (MatrixType &mattype, octave_idx_type& info) const | |
| 1024 { | |
| 7788 | 1025 double rcon; |
| 1026 return inverse (mattype, info, rcon, 0, 0); | |
| 458 | 1027 } |
| 1028 | |
| 1029 ComplexMatrix | |
| 6207 | 1030 ComplexMatrix::tinverse (MatrixType &mattype, octave_idx_type& info, |
| 7788 | 1031 double& rcon, int force, int calc_cond) const |
| 458 | 1032 { |
| 6207 | 1033 ComplexMatrix retval; |
| 1034 | |
| 1035 octave_idx_type nr = rows (); | |
| 1036 octave_idx_type nc = cols (); | |
| 1037 | |
| 1038 if (nr != nc || nr == 0 || nc == 0) | |
| 1039 (*current_liboctave_error_handler) ("inverse requires square matrix"); | |
| 1040 else | |
| 1041 { | |
| 1042 int typ = mattype.type (); | |
| 1043 char uplo = (typ == MatrixType::Lower ? 'L' : 'U'); | |
| 1044 char udiag = 'N'; | |
| 1045 retval = *this; | |
| 1046 Complex *tmp_data = retval.fortran_vec (); | |
| 1047 | |
| 1048 F77_XFCN (ztrtri, ZTRTRI, (F77_CONST_CHAR_ARG2 (&uplo, 1), | |
| 1049 F77_CONST_CHAR_ARG2 (&udiag, 1), | |
| 1050 nr, tmp_data, nr, info | |
| 1051 F77_CHAR_ARG_LEN (1) | |
| 1052 F77_CHAR_ARG_LEN (1))); | |
| 1053 | |
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1054 // Throw-away extra info LAPACK gives so as to not change output. |
| 7788 | 1055 rcon = 0.0; |
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1056 if (info != 0) |
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1057 info = -1; |
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1058 else if (calc_cond) |
| 6207 | 1059 { |
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1060 octave_idx_type ztrcon_info = 0; |
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1061 char job = '1'; |
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1062 |
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1063 OCTAVE_LOCAL_BUFFER (Complex, cwork, 2*nr); |
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1064 OCTAVE_LOCAL_BUFFER (double, rwork, nr); |
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1065 |
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1066 F77_XFCN (ztrcon, ZTRCON, (F77_CONST_CHAR_ARG2 (&job, 1), |
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1067 F77_CONST_CHAR_ARG2 (&uplo, 1), |
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1068 F77_CONST_CHAR_ARG2 (&udiag, 1), |
| 7788 | 1069 nr, tmp_data, nr, rcon, |
|
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1070 cwork, rwork, ztrcon_info |
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1071 F77_CHAR_ARG_LEN (1) |
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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 |
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1075 if (ztrcon_info != 0) |
| 6207 | 1076 info = -1; |
| 1077 } | |
| 1078 | |
| 1079 if (info == -1 && ! force) | |
| 1080 retval = *this; // Restore matrix contents. | |
| 1081 } | |
| 1082 | |
| 1083 return retval; | |
| 458 | 1084 } |
| 1085 | |
| 1086 ComplexMatrix | |
| 6207 | 1087 ComplexMatrix::finverse (MatrixType &mattype, octave_idx_type& info, |
| 7788 | 1088 double& rcon, int force, int calc_cond) const |
| 458 | 1089 { |
| 1948 | 1090 ComplexMatrix retval; |
| 1091 | |
| 5275 | 1092 octave_idx_type nr = rows (); |
| 1093 octave_idx_type nc = cols (); | |
| 1948 | 1094 |
| 458 | 1095 if (nr != nc) |
| 1948 | 1096 (*current_liboctave_error_handler) ("inverse requires square matrix"); |
| 458 | 1097 else |
| 1098 { | |
| 5275 | 1099 Array<octave_idx_type> ipvt (nr); |
| 1100 octave_idx_type *pipvt = ipvt.fortran_vec (); | |
| 1948 | 1101 |
| 1102 retval = *this; | |
| 1103 Complex *tmp_data = retval.fortran_vec (); | |
| 1104 | |
| 4329 | 1105 Array<Complex> z(1); |
| 5275 | 1106 octave_idx_type lwork = -1; |
| 4330 | 1107 |
| 1108 // Query the optimum work array size. | |
| 4329 | 1109 |
| 1110 F77_XFCN (zgetri, ZGETRI, (nc, tmp_data, nr, pipvt, | |
| 1111 z.fortran_vec (), lwork, info)); | |
| 1112 | |
| 5315 | 1113 lwork = static_cast<octave_idx_type> (std::real(z(0))); |
| 4329 | 1114 lwork = (lwork < 2 *nc ? 2*nc : lwork); |
| 1115 z.resize (lwork); | |
| 1116 Complex *pz = z.fortran_vec (); | |
| 1117 | |
| 1118 info = 0; | |
| 1119 | |
| 4330 | 1120 // Calculate the norm of the matrix, for later use. |
| 4329 | 1121 double anorm; |
| 1122 if (calc_cond) | |
| 5275 | 1123 anorm = retval.abs().sum().row(static_cast<octave_idx_type>(0)).max(); |
| 4329 | 1124 |
| 1125 F77_XFCN (zgetrf, ZGETRF, (nc, nc, tmp_data, nr, pipvt, info)); | |
| 1948 | 1126 |
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1127 // Throw-away extra info LAPACK gives so as to not change output. |
| 7788 | 1128 rcon = 0.0; |
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1129 if (info != 0) |
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1130 info = -1; |
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1131 else if (calc_cond) |
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1132 { |
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1133 // Now calculate the condition number for non-singular matrix. |
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1134 octave_idx_type zgecon_info = 0; |
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1135 char job = '1'; |
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1136 Array<double> rz (2 * nc); |
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1137 double *prz = rz.fortran_vec (); |
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1138 F77_XFCN (zgecon, ZGECON, (F77_CONST_CHAR_ARG2 (&job, 1), |
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1139 nc, tmp_data, nr, anorm, |
| 7788 | 1140 rcon, pz, prz, zgecon_info |
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1141 F77_CHAR_ARG_LEN (1))); |
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1142 |
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1143 if (zgecon_info != 0) |
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1144 info = -1; |
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1145 } |
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1146 |
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1147 if (info == -1 && ! force) |
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1148 retval = *this; // Restore contents. |
| 1948 | 1149 else |
| 1150 { | |
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1151 octave_idx_type zgetri_info = 0; |
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1152 |
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1153 F77_XFCN (zgetri, ZGETRI, (nc, tmp_data, nr, pipvt, |
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1154 pz, lwork, zgetri_info)); |
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1155 |
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1156 if (zgetri_info != 0) |
| 1948 | 1157 info = -1; |
| 1158 } | |
| 6207 | 1159 |
| 1160 if (info != 0) | |
| 1161 mattype.mark_as_rectangular(); | |
| 458 | 1162 } |
| 4329 | 1163 |
| 1948 | 1164 return retval; |
| 458 | 1165 } |
| 1166 | |
| 1167 ComplexMatrix | |
| 6207 | 1168 ComplexMatrix::inverse (MatrixType &mattype, octave_idx_type& info, |
| 7788 | 1169 double& rcon, int force, int calc_cond) const |
| 6207 | 1170 { |
| 1171 int typ = mattype.type (false); | |
| 1172 ComplexMatrix ret; | |
| 1173 | |
| 1174 if (typ == MatrixType::Unknown) | |
| 1175 typ = mattype.type (*this); | |
| 1176 | |
| 1177 if (typ == MatrixType::Upper || typ == MatrixType::Lower) | |
| 7788 | 1178 ret = tinverse (mattype, info, rcon, force, calc_cond); |
| 6840 | 1179 else |
| 6207 | 1180 { |
| 1181 if (mattype.is_hermitian ()) | |
| 1182 { | |
| 6486 | 1183 ComplexCHOL chol (*this, info, calc_cond); |
| 6207 | 1184 if (info == 0) |
| 6486 | 1185 { |
| 1186 if (calc_cond) | |
| 7788 | 1187 rcon = chol.rcond(); |
| 6486 | 1188 else |
| 7788 | 1189 rcon = 1.0; |
| 6486 | 1190 ret = chol.inverse (); |
| 1191 } | |
| 6207 | 1192 else |
| 1193 mattype.mark_as_unsymmetric (); | |
| 1194 } | |
| 1195 | |
| 1196 if (!mattype.is_hermitian ()) | |
| 7788 | 1197 ret = finverse(mattype, info, rcon, force, calc_cond); |
| 1198 | |
| 1199 if ((mattype.is_hermitian () || calc_cond) && rcon == 0.) | |
| 6840 | 1200 ret = ComplexMatrix (rows (), columns (), Complex (octave_Inf, 0.)); |
| 6207 | 1201 } |
| 1202 | |
| 1203 return ret; | |
| 1204 } | |
| 1205 | |
| 1206 ComplexMatrix | |
| 4384 | 1207 ComplexMatrix::pseudo_inverse (double tol) const |
| 740 | 1208 { |
| 1549 | 1209 ComplexMatrix retval; |
| 1210 | |
| 3480 | 1211 ComplexSVD result (*this, SVD::economy); |
| 740 | 1212 |
| 1213 DiagMatrix S = result.singular_values (); | |
| 1214 ComplexMatrix U = result.left_singular_matrix (); | |
| 1215 ComplexMatrix V = result.right_singular_matrix (); | |
| 1216 | |
| 1217 ColumnVector sigma = S.diag (); | |
| 1218 | |
| 5275 | 1219 octave_idx_type r = sigma.length () - 1; |
| 1220 octave_idx_type nr = rows (); | |
| 1221 octave_idx_type nc = cols (); | |
| 740 | 1222 |
| 1223 if (tol <= 0.0) | |
| 1224 { | |
| 1225 if (nr > nc) | |
| 1226 tol = nr * sigma.elem (0) * DBL_EPSILON; | |
| 1227 else | |
| 1228 tol = nc * sigma.elem (0) * DBL_EPSILON; | |
| 1229 } | |
| 1230 | |
| 1231 while (r >= 0 && sigma.elem (r) < tol) | |
| 1232 r--; | |
| 1233 | |
| 1234 if (r < 0) | |
| 1549 | 1235 retval = ComplexMatrix (nc, nr, 0.0); |
| 740 | 1236 else |
| 1237 { | |
| 1238 ComplexMatrix Ur = U.extract (0, 0, nr-1, r); | |
| 1239 DiagMatrix D = DiagMatrix (sigma.extract (0, r)) . inverse (); | |
| 1240 ComplexMatrix Vr = V.extract (0, 0, nc-1, r); | |
| 1549 | 1241 retval = Vr * D * Ur.hermitian (); |
| 740 | 1242 } |
| 1549 | 1243 |
| 1244 return retval; | |
| 740 | 1245 } |
| 1246 | |
| 4773 | 1247 #if defined (HAVE_FFTW3) |
| 3827 | 1248 |
| 1249 ComplexMatrix | |
| 1250 ComplexMatrix::fourier (void) const | |
| 1251 { | |
| 1252 size_t nr = rows (); | |
| 1253 size_t nc = cols (); | |
| 1254 | |
| 1255 ComplexMatrix retval (nr, nc); | |
| 1256 | |
| 1257 size_t npts, nsamples; | |
| 1258 | |
| 1259 if (nr == 1 || nc == 1) | |
| 1260 { | |
| 1261 npts = nr > nc ? nr : nc; | |
| 1262 nsamples = 1; | |
| 1263 } | |
| 1264 else | |
| 1265 { | |
| 1266 npts = nr; | |
| 1267 nsamples = nc; | |
| 1268 } | |
| 1269 | |
| 1270 const Complex *in (data ()); | |
| 1271 Complex *out (retval.fortran_vec ()); | |
| 1272 | |
| 4773 | 1273 octave_fftw::fft (in, out, npts, nsamples); |
| 3827 | 1274 |
| 1275 return retval; | |
| 1276 } | |
| 1277 | |
| 1278 ComplexMatrix | |
| 1279 ComplexMatrix::ifourier (void) const | |
| 1280 { | |
| 1281 size_t nr = rows (); | |
| 1282 size_t nc = cols (); | |
| 1283 | |
| 1284 ComplexMatrix retval (nr, nc); | |
| 1285 | |
| 1286 size_t npts, nsamples; | |
| 1287 | |
| 1288 if (nr == 1 || nc == 1) | |
| 1289 { | |
| 1290 npts = nr > nc ? nr : nc; | |
| 1291 nsamples = 1; | |
| 1292 } | |
| 1293 else | |
| 1294 { | |
| 1295 npts = nr; | |
| 1296 nsamples = nc; | |
| 1297 } | |
| 1298 | |
| 1299 const Complex *in (data ()); | |
| 1300 Complex *out (retval.fortran_vec ()); | |
| 1301 | |
| 4773 | 1302 octave_fftw::ifft (in, out, npts, nsamples); |
| 3827 | 1303 |
| 1304 return retval; | |
| 1305 } | |
| 1306 | |
| 1307 ComplexMatrix | |
| 1308 ComplexMatrix::fourier2d (void) const | |
| 1309 { | |
| 4773 | 1310 dim_vector dv(rows (), cols ()); |
| 1311 | |
| 1312 ComplexMatrix retval (rows (), cols ()); | |
| 1313 const Complex *in (data ()); | |
| 1314 Complex *out (retval.fortran_vec ()); | |
| 1315 | |
| 1316 octave_fftw::fftNd (in, out, 2, dv); | |
| 3827 | 1317 |
| 1318 return retval; | |
| 1319 } | |
| 1320 | |
| 1321 ComplexMatrix | |
| 1322 ComplexMatrix::ifourier2d (void) const | |
| 1323 { | |
| 4773 | 1324 dim_vector dv(rows (), cols ()); |
| 1325 | |
| 1326 ComplexMatrix retval (rows (), cols ()); | |
| 1327 const Complex *in (data ()); | |
| 1328 Complex *out (retval.fortran_vec ()); | |
| 1329 | |
| 1330 octave_fftw::ifftNd (in, out, 2, dv); | |
| 3827 | 1331 |
| 1332 return retval; | |
| 1333 } | |
| 1334 | |
| 1335 #else | |
| 1336 | |
| 740 | 1337 ComplexMatrix |
| 458 | 1338 ComplexMatrix::fourier (void) const |
| 1339 { | |
| 1948 | 1340 ComplexMatrix retval; |
| 1341 | |
| 5275 | 1342 octave_idx_type nr = rows (); |
| 1343 octave_idx_type nc = cols (); | |
| 1344 | |
| 1345 octave_idx_type npts, nsamples; | |
| 1948 | 1346 |
| 458 | 1347 if (nr == 1 || nc == 1) |
| 1348 { | |
| 1349 npts = nr > nc ? nr : nc; | |
| 1350 nsamples = 1; | |
| 1351 } | |
| 1352 else | |
| 1353 { | |
| 1354 npts = nr; | |
| 1355 nsamples = nc; | |
| 1356 } | |
| 1357 | |
| 5275 | 1358 octave_idx_type nn = 4*npts+15; |
| 1948 | 1359 |
| 1360 Array<Complex> wsave (nn); | |
| 1361 Complex *pwsave = wsave.fortran_vec (); | |
| 1362 | |
| 1363 retval = *this; | |
| 1364 Complex *tmp_data = retval.fortran_vec (); | |
| 1365 | |
|
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1366 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
| 458 | 1367 |
| 5275 | 1368 for (octave_idx_type j = 0; j < nsamples; j++) |
| 4153 | 1369 { |
| 1370 OCTAVE_QUIT; | |
| 1371 | |
|
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1372 F77_FUNC (zfftf, ZFFTF) (npts, &tmp_data[npts*j], pwsave); |
| 4153 | 1373 } |
| 1948 | 1374 |
| 1375 return retval; | |
| 458 | 1376 } |
| 1377 | |
| 1378 ComplexMatrix | |
| 1379 ComplexMatrix::ifourier (void) const | |
| 1380 { | |
| 1948 | 1381 ComplexMatrix retval; |
| 1382 | |
| 5275 | 1383 octave_idx_type nr = rows (); |
| 1384 octave_idx_type nc = cols (); | |
| 1385 | |
| 1386 octave_idx_type npts, nsamples; | |
| 1948 | 1387 |
| 458 | 1388 if (nr == 1 || nc == 1) |
| 1389 { | |
| 1390 npts = nr > nc ? nr : nc; | |
| 1391 nsamples = 1; | |
| 1392 } | |
| 1393 else | |
| 1394 { | |
| 1395 npts = nr; | |
| 1396 nsamples = nc; | |
| 1397 } | |
| 1398 | |
| 5275 | 1399 octave_idx_type nn = 4*npts+15; |
| 1948 | 1400 |
| 1401 Array<Complex> wsave (nn); | |
| 1402 Complex *pwsave = wsave.fortran_vec (); | |
| 1403 | |
| 1404 retval = *this; | |
| 1405 Complex *tmp_data = retval.fortran_vec (); | |
| 1406 | |
|
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1407 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
| 458 | 1408 |
| 5275 | 1409 for (octave_idx_type j = 0; j < nsamples; j++) |
| 4153 | 1410 { |
| 1411 OCTAVE_QUIT; | |
| 1412 | |
|
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1413 F77_FUNC (zfftb, ZFFTB) (npts, &tmp_data[npts*j], pwsave); |
| 4153 | 1414 } |
| 458 | 1415 |
| 5275 | 1416 for (octave_idx_type j = 0; j < npts*nsamples; j++) |
| 3572 | 1417 tmp_data[j] = tmp_data[j] / static_cast<double> (npts); |
| 458 | 1418 |
| 1948 | 1419 return retval; |
| 458 | 1420 } |
| 1421 | |
| 677 | 1422 ComplexMatrix |
| 1423 ComplexMatrix::fourier2d (void) const | |
| 1424 { | |
| 1948 | 1425 ComplexMatrix retval; |
| 1426 | |
| 5275 | 1427 octave_idx_type nr = rows (); |
| 1428 octave_idx_type nc = cols (); | |
| 1429 | |
| 1430 octave_idx_type npts, nsamples; | |
| 1948 | 1431 |
| 677 | 1432 if (nr == 1 || nc == 1) |
| 1433 { | |
| 1434 npts = nr > nc ? nr : nc; | |
| 1435 nsamples = 1; | |
| 1436 } | |
| 1437 else | |
| 1438 { | |
| 1439 npts = nr; | |
| 1440 nsamples = nc; | |
| 1441 } | |
| 1442 | |
| 5275 | 1443 octave_idx_type nn = 4*npts+15; |
| 1948 | 1444 |
| 1445 Array<Complex> wsave (nn); | |
| 1446 Complex *pwsave = wsave.fortran_vec (); | |
| 1447 | |
| 1448 retval = *this; | |
| 1449 Complex *tmp_data = retval.fortran_vec (); | |
| 1450 | |
|
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|
1451 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
| 677 | 1452 |
| 5275 | 1453 for (octave_idx_type j = 0; j < nsamples; j++) |
| 4153 | 1454 { |
| 1455 OCTAVE_QUIT; | |
| 1456 | |
|
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|
1457 F77_FUNC (zfftf, ZFFTF) (npts, &tmp_data[npts*j], pwsave); |
| 4153 | 1458 } |
| 677 | 1459 |
| 1460 npts = nc; | |
| 1461 nsamples = nr; | |
| 1462 nn = 4*npts+15; | |
| 1948 | 1463 |
| 1464 wsave.resize (nn); | |
| 1465 pwsave = wsave.fortran_vec (); | |
| 1466 | |
| 4773 | 1467 Array<Complex> tmp (npts); |
| 1468 Complex *prow = tmp.fortran_vec (); | |
| 1948 | 1469 |
|
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1470 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
| 677 | 1471 |
| 5275 | 1472 for (octave_idx_type j = 0; j < nsamples; j++) |
| 677 | 1473 { |
| 4153 | 1474 OCTAVE_QUIT; |
| 1475 | |
| 5275 | 1476 for (octave_idx_type i = 0; i < npts; i++) |
| 1948 | 1477 prow[i] = tmp_data[i*nr + j]; |
| 1478 | |
|
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|
1479 F77_FUNC (zfftf, ZFFTF) (npts, prow, pwsave); |
| 677 | 1480 |
| 5275 | 1481 for (octave_idx_type i = 0; i < npts; i++) |
| 1948 | 1482 tmp_data[i*nr + j] = prow[i]; |
| 677 | 1483 } |
| 1484 | |
| 1948 | 1485 return retval; |
| 677 | 1486 } |
| 1487 | |
| 1488 ComplexMatrix | |
| 1489 ComplexMatrix::ifourier2d (void) const | |
| 1490 { | |
| 1948 | 1491 ComplexMatrix retval; |
| 1492 | |
| 5275 | 1493 octave_idx_type nr = rows (); |
| 1494 octave_idx_type nc = cols (); | |
| 1495 | |
| 1496 octave_idx_type npts, nsamples; | |
| 1948 | 1497 |
| 677 | 1498 if (nr == 1 || nc == 1) |
| 1499 { | |
| 1500 npts = nr > nc ? nr : nc; | |
| 1501 nsamples = 1; | |
| 1502 } | |
| 1503 else | |
| 1504 { | |
| 1505 npts = nr; | |
| 1506 nsamples = nc; | |
| 1507 } | |
| 1508 | |
| 5275 | 1509 octave_idx_type nn = 4*npts+15; |
| 1948 | 1510 |
| 1511 Array<Complex> wsave (nn); | |
| 1512 Complex *pwsave = wsave.fortran_vec (); | |
| 1513 | |
| 1514 retval = *this; | |
| 1515 Complex *tmp_data = retval.fortran_vec (); | |
| 1516 | |
|
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1517 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
| 677 | 1518 |
| 5275 | 1519 for (octave_idx_type j = 0; j < nsamples; j++) |
| 4153 | 1520 { |
| 1521 OCTAVE_QUIT; | |
| 1522 | |
|
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1523 F77_FUNC (zfftb, ZFFTB) (npts, &tmp_data[npts*j], pwsave); |
| 4153 | 1524 } |
| 677 | 1525 |
| 5275 | 1526 for (octave_idx_type j = 0; j < npts*nsamples; j++) |
| 3572 | 1527 tmp_data[j] = tmp_data[j] / static_cast<double> (npts); |
| 677 | 1528 |
| 1529 npts = nc; | |
| 1530 nsamples = nr; | |
| 1531 nn = 4*npts+15; | |
| 1948 | 1532 |
| 1533 wsave.resize (nn); | |
| 1534 pwsave = wsave.fortran_vec (); | |
| 1535 | |
| 4773 | 1536 Array<Complex> tmp (npts); |
| 1537 Complex *prow = tmp.fortran_vec (); | |
| 1948 | 1538 |
|
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1539 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
| 677 | 1540 |
| 5275 | 1541 for (octave_idx_type j = 0; j < nsamples; j++) |
| 677 | 1542 { |
| 4153 | 1543 OCTAVE_QUIT; |
| 1544 | |
| 5275 | 1545 for (octave_idx_type i = 0; i < npts; i++) |
| 1948 | 1546 prow[i] = tmp_data[i*nr + j]; |
| 1547 | |
|
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1548 F77_FUNC (zfftb, ZFFTB) (npts, prow, pwsave); |
| 677 | 1549 |
| 5275 | 1550 for (octave_idx_type i = 0; i < npts; i++) |
| 3572 | 1551 tmp_data[i*nr + j] = prow[i] / static_cast<double> (npts); |
| 677 | 1552 } |
| 1553 | |
| 1948 | 1554 return retval; |
| 677 | 1555 } |
| 1556 | |
| 3827 | 1557 #endif |
| 1558 | |
| 458 | 1559 ComplexDET |
| 1560 ComplexMatrix::determinant (void) const | |
| 1561 { | |
| 5275 | 1562 octave_idx_type info; |
| 7788 | 1563 double rcon; |
| 1564 return determinant (info, rcon, 0); | |
| 458 | 1565 } |
| 1566 | |
| 1567 ComplexDET | |
| 5275 | 1568 ComplexMatrix::determinant (octave_idx_type& info) const |
| 458 | 1569 { |
| 7788 | 1570 double rcon; |
| 1571 return determinant (info, rcon, 0); | |
| 458 | 1572 } |
| 1573 | |
| 1574 ComplexDET | |
| 7788 | 1575 ComplexMatrix::determinant (octave_idx_type& info, double& rcon, int calc_cond) const |
| 458 | 1576 { |
| 1577 ComplexDET retval; | |
| 1578 | |
| 5275 | 1579 octave_idx_type nr = rows (); |
| 1580 octave_idx_type nc = cols (); | |
| 458 | 1581 |
| 1582 if (nr == 0 || nc == 0) | |
| 1583 { | |
| 5634 | 1584 retval = ComplexDET (1.0, 0); |
| 458 | 1585 } |
| 1586 else | |
| 1587 { | |
| 5275 | 1588 Array<octave_idx_type> ipvt (nr); |
| 1589 octave_idx_type *pipvt = ipvt.fortran_vec (); | |
| 1948 | 1590 |
| 1591 ComplexMatrix atmp = *this; | |
| 1592 Complex *tmp_data = atmp.fortran_vec (); | |
| 1593 | |
| 4329 | 1594 info = 0; |
| 1595 | |
| 4330 | 1596 // Calculate the norm of the matrix, for later use. |
| 4329 | 1597 double anorm = 0; |
| 1598 if (calc_cond) | |
| 5275 | 1599 anorm = atmp.abs().sum().row(static_cast<octave_idx_type>(0)).max(); |
| 4329 | 1600 |
| 1601 F77_XFCN (zgetrf, ZGETRF, (nr, nc, tmp_data, nr, pipvt, info)); | |
| 1948 | 1602 |
|
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|
1603 // Throw-away extra info LAPACK gives so as to not change output. |
| 7788 | 1604 rcon = 0.0; |
|
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|
1605 if (info != 0) |
|
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|
1606 { |
|
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1607 info = -1; |
|
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1608 retval = ComplexDET (); |
|
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|
1609 } |
|
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|
1610 else |
| 458 | 1611 { |
|
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|
1612 if (calc_cond) |
|
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|
1613 { |
|
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|
1614 // Now calc the condition number for non-singular matrix. |
|
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1615 char job = '1'; |
|
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|
1616 Array<Complex> z (2*nr); |
|
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|
1617 Complex *pz = z.fortran_vec (); |
|
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|
1618 Array<double> rz (2*nr); |
|
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|
1619 double *prz = rz.fortran_vec (); |
|
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|
1620 |
|
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|
1621 F77_XFCN (zgecon, ZGECON, (F77_CONST_CHAR_ARG2 (&job, 1), |
|
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1622 nc, tmp_data, nr, anorm, |
| 7788 | 1623 rcon, pz, prz, info |
|
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1624 F77_CHAR_ARG_LEN (1))); |
|
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|
1625 } |
|
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|
1626 |
| 4509 | 1627 if (info != 0) |
| 1948 | 1628 { |
| 1629 info = -1; | |
| 1630 retval = ComplexDET (); | |
| 4329 | 1631 } |
| 1632 else | |
| 1948 | 1633 { |
|
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1634 Complex c = 1.0; |
|
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1635 int e = 0; |
|
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1636 |
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1637 for (octave_idx_type i = 0; i < nc; i++) |
| 4329 | 1638 { |
|
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1639 if (ipvt(i) != (i+1)) |
|
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1640 c = -c; |
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1641 |
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1642 c *= atmp(i,i); |
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1643 |
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1644 if (c == 0.0) |
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1645 break; |
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|
1646 |
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|
1647 while (std::abs(c) < 0.5) |
| 4329 | 1648 { |
|
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1649 c *= 2.0; |
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|
1650 e--; |
| 4329 | 1651 } |
| 5634 | 1652 |
|
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1653 while (std::abs(c) >= 2.0) |
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1654 { |
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|
1655 c /= 2.0; |
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1656 e++; |
|
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|
1657 } |
| 4329 | 1658 } |
|
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|
1659 |
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|
1660 retval = ComplexDET (c, e); |
| 1948 | 1661 } |
| 458 | 1662 } |
| 1663 } | |
| 4329 | 1664 |
| 458 | 1665 return retval; |
| 1666 } | |
| 1667 | |
| 7788 | 1668 double |
| 1669 ComplexMatrix::rcond (void) const | |
| 1670 { | |
| 1671 MatrixType mattype (*this); | |
| 1672 return rcond (mattype); | |
| 1673 } | |
| 1674 | |
| 1675 double | |
| 1676 ComplexMatrix::rcond (MatrixType &mattype) const | |
| 1677 { | |
| 1678 double rcon; | |
| 1679 octave_idx_type nr = rows (); | |
| 1680 octave_idx_type nc = cols (); | |
| 1681 | |
| 1682 if (nr != nc) | |
| 1683 (*current_liboctave_error_handler) ("matrix must be square"); | |
| 1684 else if (nr == 0 || nc == 0) | |
| 1685 rcon = octave_Inf; | |
| 1686 else | |
| 1687 { | |
| 1688 int typ = mattype.type (); | |
| 1689 | |
| 1690 if (typ == MatrixType::Unknown) | |
| 1691 typ = mattype.type (*this); | |
| 1692 | |
| 1693 // Only calculate the condition number for LU/Cholesky | |
| 1694 if (typ == MatrixType::Upper) | |
| 1695 { | |
| 1696 const Complex *tmp_data = fortran_vec (); | |
| 1697 octave_idx_type info = 0; | |
| 1698 char norm = '1'; | |
| 1699 char uplo = 'U'; | |
| 1700 char dia = 'N'; | |
| 1701 | |
| 1702 Array<Complex> z (2 * nc); | |
| 1703 Complex *pz = z.fortran_vec (); | |
| 1704 Array<double> rz (nc); | |
| 1705 double *prz = rz.fortran_vec (); | |
| 1706 | |
| 1707 F77_XFCN (ztrcon, ZTRCON, (F77_CONST_CHAR_ARG2 (&norm, 1), | |
| 1708 F77_CONST_CHAR_ARG2 (&uplo, 1), | |
| 1709 F77_CONST_CHAR_ARG2 (&dia, 1), | |
| 1710 nr, tmp_data, nr, rcon, | |
| 1711 pz, prz, info | |
| 1712 F77_CHAR_ARG_LEN (1) | |
| 1713 F77_CHAR_ARG_LEN (1) | |
| 1714 F77_CHAR_ARG_LEN (1))); | |
| 1715 | |
| 1716 if (info != 0) | |
| 1717 rcon = 0; | |
| 1718 } | |
| 1719 else if (typ == MatrixType::Permuted_Upper) | |
| 1720 (*current_liboctave_error_handler) | |
| 1721 ("permuted triangular matrix not implemented"); | |
| 1722 else if (typ == MatrixType::Lower) | |
| 1723 { | |
| 1724 const Complex *tmp_data = fortran_vec (); | |
| 1725 octave_idx_type info = 0; | |
| 1726 char norm = '1'; | |
| 1727 char uplo = 'L'; | |
| 1728 char dia = 'N'; | |
| 1729 | |
| 1730 Array<Complex> z (2 * nc); | |
| 1731 Complex *pz = z.fortran_vec (); | |
| 1732 Array<double> rz (nc); | |
| 1733 double *prz = rz.fortran_vec (); | |
| 1734 | |
| 1735 F77_XFCN (ztrcon, ZTRCON, (F77_CONST_CHAR_ARG2 (&norm, 1), | |
| 1736 F77_CONST_CHAR_ARG2 (&uplo, 1), | |
| 1737 F77_CONST_CHAR_ARG2 (&dia, 1), | |
| 1738 nr, tmp_data, nr, rcon, | |
| 1739 pz, prz, info | |
| 1740 F77_CHAR_ARG_LEN (1) | |
| 1741 F77_CHAR_ARG_LEN (1) | |
| 1742 F77_CHAR_ARG_LEN (1))); | |
| 1743 | |
| 1744 if (info != 0) | |
| 1745 rcon = 0.0; | |
| 1746 } | |
| 1747 else if (typ == MatrixType::Permuted_Lower) | |
| 1748 (*current_liboctave_error_handler) | |
| 1749 ("permuted triangular matrix not implemented"); | |
| 1750 else if (typ == MatrixType::Full || typ == MatrixType::Hermitian) | |
| 1751 { | |
| 1752 double anorm = -1.0; | |
| 1753 ComplexMatrix atmp = *this; | |
| 1754 Complex *tmp_data = atmp.fortran_vec (); | |
| 1755 | |
| 1756 if (typ == MatrixType::Hermitian) | |
| 1757 { | |
| 1758 octave_idx_type info = 0; | |
| 1759 char job = 'L'; | |
| 1760 anorm = atmp.abs().sum(). | |
| 1761 row(static_cast<octave_idx_type>(0)).max(); | |
| 1762 | |
| 1763 F77_XFCN (zpotrf, ZPOTRF, (F77_CONST_CHAR_ARG2 (&job, 1), nr, | |
| 1764 tmp_data, nr, info | |
| 1765 F77_CHAR_ARG_LEN (1))); | |
| 1766 | |
| 1767 if (info != 0) | |
| 1768 { | |
| 1769 rcon = 0.0; | |
| 1770 | |
| 1771 mattype.mark_as_unsymmetric (); | |
| 1772 typ = MatrixType::Full; | |
| 1773 } | |
| 1774 else | |
| 1775 { | |
| 1776 Array<Complex> z (2 * nc); | |
| 1777 Complex *pz = z.fortran_vec (); | |
| 1778 Array<double> rz (nc); | |
| 1779 double *prz = rz.fortran_vec (); | |
| 1780 | |
| 1781 F77_XFCN (zpocon, ZPOCON, (F77_CONST_CHAR_ARG2 (&job, 1), | |
| 1782 nr, tmp_data, nr, anorm, | |
| 1783 rcon, pz, prz, info | |
| 1784 F77_CHAR_ARG_LEN (1))); | |
| 1785 | |
| 1786 if (info != 0) | |
| 1787 rcon = 0.0; | |
| 1788 } | |
| 1789 } | |
| 1790 | |
| 1791 | |
| 1792 if (typ == MatrixType::Full) | |
| 1793 { | |
| 1794 octave_idx_type info = 0; | |
| 1795 | |
| 1796 Array<octave_idx_type> ipvt (nr); | |
| 1797 octave_idx_type *pipvt = ipvt.fortran_vec (); | |
| 1798 | |
| 1799 if(anorm < 0.) | |
| 1800 anorm = atmp.abs().sum(). | |
| 1801 row(static_cast<octave_idx_type>(0)).max(); | |
| 1802 | |
| 1803 Array<Complex> z (2 * nc); | |
| 1804 Complex *pz = z.fortran_vec (); | |
| 1805 Array<double> rz (2 * nc); | |
| 1806 double *prz = rz.fortran_vec (); | |
| 1807 | |
| 1808 F77_XFCN (zgetrf, ZGETRF, (nr, nr, tmp_data, nr, pipvt, info)); | |
| 1809 | |
| 1810 if (info != 0) | |
| 1811 { | |
| 1812 rcon = 0.0; | |
| 1813 mattype.mark_as_rectangular (); | |
| 1814 } | |
| 1815 else | |
| 1816 { | |
| 1817 char job = '1'; | |
| 1818 F77_XFCN (zgecon, ZGECON, (F77_CONST_CHAR_ARG2 (&job, 1), | |
| 1819 nc, tmp_data, nr, anorm, | |
| 1820 rcon, pz, prz, info | |
| 1821 F77_CHAR_ARG_LEN (1))); | |
| 1822 | |
| 1823 if (info != 0) | |
| 1824 rcon = 0.0; | |
| 1825 } | |
| 1826 } | |
| 1827 } | |
| 1828 else | |
| 1829 rcon = 0.0; | |
| 1830 } | |
| 1831 | |
| 1832 return rcon; | |
| 1833 } | |
| 1834 | |
| 458 | 1835 ComplexMatrix |
| 5785 | 1836 ComplexMatrix::utsolve (MatrixType &mattype, const ComplexMatrix& b, |
| 7788 | 1837 octave_idx_type& info, double& rcon, |
| 5785 | 1838 solve_singularity_handler sing_handler, |
| 1839 bool calc_cond) const | |
| 1840 { | |
| 1841 ComplexMatrix retval; | |
| 1842 | |
| 1843 octave_idx_type nr = rows (); | |
| 1844 octave_idx_type nc = cols (); | |
| 1845 | |
| 6924 | 1846 if (nr != b.rows ()) |
| 5785 | 1847 (*current_liboctave_error_handler) |
| 1848 ("matrix dimension mismatch solution of linear equations"); | |
| 6924 | 1849 else if (nr == 0 || nc == 0 || b.cols () == 0) |
| 1850 retval = ComplexMatrix (nc, b.cols (), Complex (0.0, 0.0)); | |
| 5785 | 1851 else |
| 1852 { | |
| 1853 volatile int typ = mattype.type (); | |
| 1854 | |
| 1855 if (typ == MatrixType::Permuted_Upper || | |
| 1856 typ == MatrixType::Upper) | |
| 1857 { | |
| 1858 octave_idx_type b_nc = b.cols (); | |
| 7788 | 1859 rcon = 1.; |
| 5785 | 1860 info = 0; |
| 1861 | |
| 1862 if (typ == MatrixType::Permuted_Upper) | |
| 1863 { | |
| 1864 (*current_liboctave_error_handler) | |
| 6390 | 1865 ("permuted triangular matrix not implemented"); |
| 5785 | 1866 } |
| 1867 else | |
| 1868 { | |
| 1869 const Complex *tmp_data = fortran_vec (); | |
| 1870 | |
| 1871 if (calc_cond) | |
| 1872 { | |
| 1873 char norm = '1'; | |
| 1874 char uplo = 'U'; | |
| 1875 char dia = 'N'; | |
| 1876 | |
| 1877 Array<Complex> z (2 * nc); | |
| 1878 Complex *pz = z.fortran_vec (); | |
| 1879 Array<double> rz (nc); | |
| 1880 double *prz = rz.fortran_vec (); | |
| 1881 | |
| 1882 F77_XFCN (ztrcon, ZTRCON, (F77_CONST_CHAR_ARG2 (&norm, 1), | |
| 1883 F77_CONST_CHAR_ARG2 (&uplo, 1), | |
| 1884 F77_CONST_CHAR_ARG2 (&dia, 1), | |
| 7788 | 1885 nr, tmp_data, nr, rcon, |
| 5785 | 1886 pz, prz, info |
| 1887 F77_CHAR_ARG_LEN (1) | |
| 1888 F77_CHAR_ARG_LEN (1) | |
| 1889 F77_CHAR_ARG_LEN (1))); | |
| 1890 | |
| 1891 if (info != 0) | |
| 1892 info = -2; | |
| 1893 | |
| 7788 | 1894 volatile double rcond_plus_one = rcon + 1.0; |
| 1895 | |
| 1896 if (rcond_plus_one == 1.0 || xisnan (rcon)) | |
| 5785 | 1897 { |
| 1898 info = -2; | |
| 1899 | |
| 1900 if (sing_handler) | |
| 7788 | 1901 sing_handler (rcon); |
| 5785 | 1902 else |
| 1903 (*current_liboctave_error_handler) | |
| 1904 ("matrix singular to machine precision, rcond = %g", | |
| 7788 | 1905 rcon); |
| 5785 | 1906 } |
| 1907 } | |
| 1908 | |
| 1909 if (info == 0) | |
| 1910 { | |
| 1911 retval = b; | |
| 1912 Complex *result = retval.fortran_vec (); | |
| 1913 | |
| 1914 char uplo = 'U'; | |
| 1915 char trans = 'N'; | |
| 1916 char dia = 'N'; | |
| 1917 | |
| 1918 F77_XFCN (ztrtrs, ZTRTRS, (F77_CONST_CHAR_ARG2 (&uplo, 1), | |
| 1919 F77_CONST_CHAR_ARG2 (&trans, 1), | |
| 1920 F77_CONST_CHAR_ARG2 (&dia, 1), | |
| 1921 nr, b_nc, tmp_data, nr, | |
| 1922 result, nr, info | |
| 1923 F77_CHAR_ARG_LEN (1) | |
| 1924 F77_CHAR_ARG_LEN (1) | |
| 1925 F77_CHAR_ARG_LEN (1))); | |
| 1926 } | |
| 1927 } | |
| 1928 } | |
| 1929 else | |
| 1930 (*current_liboctave_error_handler) ("incorrect matrix type"); | |
| 1931 } | |
| 1932 | |
| 1933 return retval; | |
| 1934 } | |
| 1935 | |
| 1936 ComplexMatrix | |
| 1937 ComplexMatrix::ltsolve (MatrixType &mattype, const ComplexMatrix& b, | |
| 7788 | 1938 octave_idx_type& info, double& rcon, |
| 5785 | 1939 solve_singularity_handler sing_handler, |
| 1940 bool calc_cond) const | |
| 1941 { | |
| 1942 ComplexMatrix retval; | |
| 1943 | |
| 1944 octave_idx_type nr = rows (); | |
| 1945 octave_idx_type nc = cols (); | |
| 1946 | |
| 6924 | 1947 if (nr != b.rows ()) |
| 5785 | 1948 (*current_liboctave_error_handler) |
| 1949 ("matrix dimension mismatch solution of linear equations"); | |
| 6924 | 1950 else if (nr == 0 || nc == 0 || b.cols () == 0) |
| 1951 retval = ComplexMatrix (nc, b.cols (), Complex (0.0, 0.0)); | |
| 5785 | 1952 else |
| 1953 { | |
| 1954 volatile int typ = mattype.type (); | |
| 1955 | |
| 1956 if (typ == MatrixType::Permuted_Lower || | |
| 1957 typ == MatrixType::Lower) | |
| 1958 { | |
| 1959 octave_idx_type b_nc = b.cols (); | |
| 7788 | 1960 rcon = 1.; |
| 5785 | 1961 info = 0; |
| 1962 | |
| 1963 if (typ == MatrixType::Permuted_Lower) | |
| 1964 { | |
| 1965 (*current_liboctave_error_handler) | |
| 6390 | 1966 ("permuted triangular matrix not implemented"); |
| 5785 | 1967 } |
| 1968 else | |
| 1969 { | |
| 1970 const Complex *tmp_data = fortran_vec (); | |
| 1971 | |
| 1972 if (calc_cond) | |
| 1973 { | |
| 1974 char norm = '1'; | |
| 1975 char uplo = 'L'; | |
| 1976 char dia = 'N'; | |
| 1977 | |
| 1978 Array<Complex> z (2 * nc); | |
| 1979 Complex *pz = z.fortran_vec (); | |
| 1980 Array<double> rz (nc); | |
| 1981 double *prz = rz.fortran_vec (); | |
| 1982 | |
| 1983 F77_XFCN (ztrcon, ZTRCON, (F77_CONST_CHAR_ARG2 (&norm, 1), | |
| 1984 F77_CONST_CHAR_ARG2 (&uplo, 1), | |
| 1985 F77_CONST_CHAR_ARG2 (&dia, 1), | |
| 7788 | 1986 nr, tmp_data, nr, rcon, |
| 5785 | 1987 pz, prz, info |
| 1988 F77_CHAR_ARG_LEN (1) | |
| 1989 F77_CHAR_ARG_LEN (1) | |
| 1990 F77_CHAR_ARG_LEN (1))); | |
| 1991 | |
| 1992 if (info != 0) | |
| 1993 info = -2; | |
| 1994 | |
| 7788 | 1995 volatile double rcond_plus_one = rcon + 1.0; |
| 1996 | |
| 1997 if (rcond_plus_one == 1.0 || xisnan (rcon)) | |
| 5785 | 1998 { |
| 1999 info = -2; | |
| 2000 | |
| 2001 if (sing_handler) | |
| 7788 | 2002 sing_handler (rcon); |
| 5785 | 2003 else |
| 2004 (*current_liboctave_error_handler) | |
| 2005 ("matrix singular to machine precision, rcond = %g", | |
| 7788 | 2006 rcon); |
| 5785 | 2007 } |
| 2008 } | |
| 2009 | |
| 2010 if (info == 0) | |
| 2011 { | |
| 2012 retval = b; | |
| 2013 Complex *result = retval.fortran_vec (); | |
| 2014 | |
| 2015 char uplo = 'L'; | |
| 2016 char trans = 'N'; | |
| 2017 char dia = 'N'; | |
| 2018 | |
| 2019 F77_XFCN (ztrtrs, ZTRTRS, (F77_CONST_CHAR_ARG2 (&uplo, 1), | |
| 2020 F77_CONST_CHAR_ARG2 (&trans, 1), | |
| 2021 F77_CONST_CHAR_ARG2 (&dia, 1), | |
| 2022 nr, b_nc, tmp_data, nr, | |
| 2023 result, nr, info | |
| 2024 F77_CHAR_ARG_LEN (1) | |
| 2025 F77_CHAR_ARG_LEN (1) | |
| 2026 F77_CHAR_ARG_LEN (1))); | |
| 2027 } | |
| 2028 } | |
| 2029 } | |
| 2030 else | |
| 2031 (*current_liboctave_error_handler) ("incorrect matrix type"); | |
| 2032 } | |
| 2033 | |
| 2034 return retval; | |
| 2035 } | |
| 2036 | |
| 2037 ComplexMatrix | |
| 2038 ComplexMatrix::fsolve (MatrixType &mattype, const ComplexMatrix& b, | |
| 7788 | 2039 octave_idx_type& info, double& rcon, |
| 5785 | 2040 solve_singularity_handler sing_handler, |
| 2041 bool calc_cond) const | |
| 2042 { | |
| 2043 ComplexMatrix retval; | |
| 2044 | |
| 2045 octave_idx_type nr = rows (); | |
| 2046 octave_idx_type nc = cols (); | |
| 2047 | |
| 6924 | 2048 |
| 2049 if (nr != nc || nr != b.rows ()) | |
| 5785 | 2050 (*current_liboctave_error_handler) |
| 6924 | 2051 ("matrix dimension mismatch solution of linear equations"); |
| 2052 else if (nr == 0 || b.cols () == 0) | |
| 2053 retval = ComplexMatrix (nc, b.cols (), Complex (0.0, 0.0)); | |
| 5785 | 2054 else |
| 2055 { | |
| 2056 volatile int typ = mattype.type (); | |
| 2057 | |
| 2058 // Calculate the norm of the matrix, for later use. | |
| 2059 double anorm = -1.; | |
| 2060 | |
| 2061 if (typ == MatrixType::Hermitian) | |
| 2062 { | |
| 2063 info = 0; | |
| 2064 char job = 'L'; | |
| 2065 ComplexMatrix atmp = *this; | |
| 2066 Complex *tmp_data = atmp.fortran_vec (); | |
| 2067 anorm = atmp.abs().sum().row(static_cast<octave_idx_type>(0)).max(); | |
| 2068 | |
| 2069 F77_XFCN (zpotrf, ZPOTRF, (F77_CONST_CHAR_ARG2 (&job, 1), nr, | |
| 2070 tmp_data, nr, info | |
| 2071 F77_CHAR_ARG_LEN (1))); | |
| 2072 | |
|
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|
2073 // Throw-away extra info LAPACK gives so as to not change output. |
| 7788 | 2074 rcon = 0.0; |
|
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2075 if (info != 0) |
|
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|
2076 { |
|
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|
2077 info = -2; |
|
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|
2078 |
|
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|
2079 mattype.mark_as_unsymmetric (); |
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2080 typ = MatrixType::Full; |
|
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2081 } |
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2082 else |
| 5785 | 2083 { |
|
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2084 if (calc_cond) |
| 5785 | 2085 { |
|
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2086 Array<Complex> z (2 * nc); |
|
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|
2087 Complex *pz = z.fortran_vec (); |
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2088 Array<double> rz (nc); |
|
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|
2089 double *prz = rz.fortran_vec (); |
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|
2090 |
|
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|
2091 F77_XFCN (zpocon, ZPOCON, (F77_CONST_CHAR_ARG2 (&job, 1), |
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|
2092 nr, tmp_data, nr, anorm, |
| 7788 | 2093 rcon, pz, prz, info |
|
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2094 F77_CHAR_ARG_LEN (1))); |
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2095 |
|
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|
2096 if (info != 0) |
|
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2097 info = -2; |
|
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|
2098 |
| 7788 | 2099 volatile double rcond_plus_one = rcon + 1.0; |
| 2100 | |
| 2101 if (rcond_plus_one == 1.0 || xisnan (rcon)) | |
|
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2102 { |
|
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2103 info = -2; |
|
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2104 |
|
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|
2105 if (sing_handler) |
| 7788 | 2106 sing_handler (rcon); |
|
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2107 else |
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2108 (*current_liboctave_error_handler) |
|
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|
2109 ("matrix singular to machine precision, rcond = %g", |
| 7788 | 2110 rcon); |
|
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2111 } |
|
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2112 } |
|
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|
2113 |
|
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|
2114 if (info == 0) |
|
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2115 { |
|
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|
2116 retval = b; |
|
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2117 Complex *result = retval.fortran_vec (); |
|
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2118 |
|
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diff
changeset
|
2119 octave_idx_type b_nc = b.cols (); |
|
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changeset
|
2120 |
|
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changeset
|
2121 F77_XFCN (zpotrs, ZPOTRS, (F77_CONST_CHAR_ARG2 (&job, 1), |
|
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changeset
|
2122 nr, b_nc, tmp_data, nr, |
|
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|
2123 result, b.rows(), info |
|
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|
2124 F77_CHAR_ARG_LEN (1))); |
|
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|
2125 } |
|
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|
2126 else |
|
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|
2127 { |
| 5785 | 2128 mattype.mark_as_unsymmetric (); |
| 2129 typ = MatrixType::Full; | |
| 2130 } | |
| 2131 } | |
| 2132 } | |
| 2133 | |
| 2134 if (typ == MatrixType::Full) | |
| 2135 { | |
| 2136 info = 0; | |
| 2137 | |
| 2138 Array<octave_idx_type> ipvt (nr); | |
| 2139 octave_idx_type *pipvt = ipvt.fortran_vec (); | |
| 2140 | |
| 2141 ComplexMatrix atmp = *this; | |
| 2142 Complex *tmp_data = atmp.fortran_vec (); | |
| 2143 | |
| 2144 Array<Complex> z (2 * nc); | |
| 2145 Complex *pz = z.fortran_vec (); | |
| 2146 Array<double> rz (2 * nc); | |
| 2147 double *prz = rz.fortran_vec (); | |
| 2148 | |
| 2149 // Calculate the norm of the matrix, for later use. | |
| 2150 if (anorm < 0.) | |
| 2151 anorm = atmp.abs().sum().row(static_cast<octave_idx_type>(0)).max(); | |
| 2152 | |
| 2153 F77_XFCN (zgetrf, ZGETRF, (nr, nr, tmp_data, nr, pipvt, info)); | |
| 2154 | |
|
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changeset
|
2155 // Throw-away extra info LAPACK gives so as to not change output. |
| 7788 | 2156 rcon = 0.0; |
|
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29980c6b8604
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changeset
|
2157 if (info != 0) |
|
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diff
changeset
|
2158 { |
|
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parents:
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diff
changeset
|
2159 info = -2; |
|
29980c6b8604
don't check f77_exception_encountered
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diff
changeset
|
2160 |
|
29980c6b8604
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diff
changeset
|
2161 if (sing_handler) |
| 7788 | 2162 sing_handler (rcon); |
|
7482
29980c6b8604
don't check f77_exception_encountered
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diff
changeset
|
2163 else |
|
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parents:
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diff
changeset
|
2164 (*current_liboctave_error_handler) |
|
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changeset
|
2165 ("matrix singular to machine precision"); |
|
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changeset
|
2166 |
|
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diff
changeset
|
2167 mattype.mark_as_rectangular (); |
|
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changeset
|
2168 } |
|
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don't check f77_exception_encountered
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diff
changeset
|
2169 else |
| 5785 | 2170 { |
|
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29980c6b8604
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changeset
|
2171 if (calc_cond) |
| 5785 | 2172 { |
|
7482
29980c6b8604
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parents:
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diff
changeset
|
2173 // Now calculate the condition number for |
|
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diff
changeset
|
2174 // non-singular matrix. |
|
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changeset
|
2175 char job = '1'; |
|
29980c6b8604
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diff
changeset
|
2176 F77_XFCN (zgecon, ZGECON, (F77_CONST_CHAR_ARG2 (&job, 1), |
|
29980c6b8604
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diff
changeset
|
2177 nc, tmp_data, nr, anorm, |
| 7788 | 2178 rcon, pz, prz, info |
|
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29980c6b8604
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diff
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|
2179 F77_CHAR_ARG_LEN (1))); |
|
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diff
changeset
|
2180 |
|
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diff
changeset
|
2181 if (info != 0) |
|
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diff
changeset
|
2182 info = -2; |
|
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diff
changeset
|
2183 |
| 7788 | 2184 volatile double rcond_plus_one = rcon + 1.0; |
| 2185 | |
| 2186 if (rcond_plus_one == 1.0 || xisnan (rcon)) | |
| 5785 | 2187 { |
|
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29980c6b8604
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diff
changeset
|
2188 info = -2; |
|
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diff
changeset
|
2189 |
|
29980c6b8604
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diff
changeset
|
2190 if (sing_handler) |
| 7788 | 2191 sing_handler (rcon); |
|
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29980c6b8604
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diff
changeset
|
2192 else |
|
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parents:
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diff
changeset
|
2193 (*current_liboctave_error_handler) |
|
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parents:
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diff
changeset
|
2194 ("matrix singular to machine precision, rcond = %g", |
| 7788 | 2195 rcon); |
| 5785 | 2196 } |
| 2197 } | |
|
7482
29980c6b8604
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parents:
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diff
changeset
|
2198 |
|
29980c6b8604
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parents:
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diff
changeset
|
2199 if (info == 0) |
|
29980c6b8604
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parents:
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diff
changeset
|
2200 { |
|
29980c6b8604
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parents:
7478
diff
changeset
|
2201 retval = b; |
|
29980c6b8604
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parents:
7478
diff
changeset
|
2202 Complex *result = retval.fortran_vec (); |
|
29980c6b8604
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parents:
7478
diff
changeset
|
2203 |
|
29980c6b8604
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parents:
7478
diff
changeset
|
2204 octave_idx_type b_nc = b.cols (); |
|
29980c6b8604
don't check f77_exception_encountered
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parents:
7478
diff
changeset
|
2205 |
|
29980c6b8604
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parents:
7478
diff
changeset
|
2206 char job = 'N'; |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2207 F77_XFCN (zgetrs, ZGETRS, (F77_CONST_CHAR_ARG2 (&job, 1), |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2208 nr, b_nc, tmp_data, nr, |
|
29980c6b8604
don't check f77_exception_encountered
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parents:
7478
diff
changeset
|
2209 pipvt, result, b.rows(), info |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2210 F77_CHAR_ARG_LEN (1))); |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2211 } |
|
29980c6b8604
don't check f77_exception_encountered
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parents:
7478
diff
changeset
|
2212 else |
|
29980c6b8604
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John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2213 mattype.mark_as_rectangular (); |
| 5785 | 2214 } |
| 2215 } | |
| 2216 } | |
| 2217 | |
| 2218 return retval; | |
| 2219 } | |
| 2220 | |
| 2221 ComplexMatrix | |
| 2222 ComplexMatrix::solve (MatrixType &typ, const Matrix& b) const | |
| 2223 { | |
| 2224 octave_idx_type info; | |
| 7788 | 2225 double rcon; |
| 2226 return solve (typ, b, info, rcon, 0); | |
| 5785 | 2227 } |
| 2228 | |
| 2229 ComplexMatrix | |
| 2230 ComplexMatrix::solve (MatrixType &typ, const Matrix& b, | |
| 2231 octave_idx_type& info) const | |
| 2232 { | |
| 7788 | 2233 double rcon; |
| 2234 return solve (typ, b, info, rcon, 0); | |
| 5785 | 2235 } |
| 2236 | |
| 2237 ComplexMatrix | |
| 2238 ComplexMatrix::solve (MatrixType &typ, const Matrix& b, octave_idx_type& info, | |
| 7788 | 2239 double& rcon) const |
| 5785 | 2240 { |
| 7788 | 2241 return solve (typ, b, info, rcon, 0); |
| 5785 | 2242 } |
| 2243 | |
| 2244 ComplexMatrix | |
| 2245 ComplexMatrix::solve (MatrixType &typ, const Matrix& b, octave_idx_type& info, | |
| 7788 | 2246 double& rcon, solve_singularity_handler sing_handler, |
| 5785 | 2247 bool singular_fallback) const |
| 2248 { | |
| 2249 ComplexMatrix tmp (b); | |
| 7788 | 2250 return solve (typ, tmp, info, rcon, sing_handler, singular_fallback); |
| 5785 | 2251 } |
| 2252 | |
| 2253 ComplexMatrix | |
| 2254 ComplexMatrix::solve (MatrixType &typ, const ComplexMatrix& b) const | |
| 2255 { | |
| 2256 octave_idx_type info; | |
| 7788 | 2257 double rcon; |
| 2258 return solve (typ, b, info, rcon, 0); | |
| 5785 | 2259 } |
| 2260 | |
| 2261 ComplexMatrix | |
| 2262 ComplexMatrix::solve (MatrixType &typ, const ComplexMatrix& b, | |
| 2263 octave_idx_type& info) const | |
| 2264 { | |
| 7788 | 2265 double rcon; |
| 2266 return solve (typ, b, info, rcon, 0); | |
| 5785 | 2267 } |
| 2268 | |
| 2269 ComplexMatrix | |
| 2270 ComplexMatrix::solve (MatrixType &typ, const ComplexMatrix& b, | |
| 7788 | 2271 octave_idx_type& info, double& rcon) const |
| 5785 | 2272 { |
| 7788 | 2273 return solve (typ, b, info, rcon, 0); |
| 5785 | 2274 } |
| 2275 | |
| 2276 ComplexMatrix | |
| 2277 ComplexMatrix::solve (MatrixType &mattype, const ComplexMatrix& b, | |
| 7788 | 2278 octave_idx_type& info, double& rcon, |
| 5785 | 2279 solve_singularity_handler sing_handler, |
| 2280 bool singular_fallback) const | |
| 2281 { | |
| 2282 ComplexMatrix retval; | |
| 2283 int typ = mattype.type (); | |
| 2284 | |
| 2285 if (typ == MatrixType::Unknown) | |
| 2286 typ = mattype.type (*this); | |
| 2287 | |
| 2288 // Only calculate the condition number for LU/Cholesky | |
| 2289 if (typ == MatrixType::Upper || typ == MatrixType::Permuted_Upper) | |
| 7788 | 2290 retval = utsolve (mattype, b, info, rcon, sing_handler, false); |
| 5785 | 2291 else if (typ == MatrixType::Lower || typ == MatrixType::Permuted_Lower) |
| 7788 | 2292 retval = ltsolve (mattype, b, info, rcon, sing_handler, false); |
| 5785 | 2293 else if (typ == MatrixType::Full || typ == MatrixType::Hermitian) |
| 7788 | 2294 retval = fsolve (mattype, b, info, rcon, sing_handler, true); |
| 5785 | 2295 else if (typ != MatrixType::Rectangular) |
| 2296 { | |
| 2297 (*current_liboctave_error_handler) ("unknown matrix type"); | |
| 2298 return ComplexMatrix (); | |
| 2299 } | |
| 2300 | |
| 2301 // Rectangular or one of the above solvers flags a singular matrix | |
| 2302 if (singular_fallback && mattype.type () == MatrixType::Rectangular) | |
| 2303 { | |
| 2304 octave_idx_type rank; | |
| 7788 | 2305 retval = lssolve (b, info, rank, rcon); |
| 5785 | 2306 } |
| 2307 | |
| 2308 return retval; | |
| 2309 } | |
| 2310 | |
| 2311 ComplexColumnVector | |
| 2312 ComplexMatrix::solve (MatrixType &typ, const ColumnVector& b) const | |
| 2313 { | |
| 2314 octave_idx_type info; | |
| 7788 | 2315 double rcon; |
| 2316 return solve (typ, ComplexColumnVector (b), info, rcon, 0); | |
| 5785 | 2317 } |
| 2318 | |
| 2319 ComplexColumnVector | |
| 2320 ComplexMatrix::solve (MatrixType &typ, const ColumnVector& b, | |
| 2321 octave_idx_type& info) const | |
| 2322 { | |
| 7788 | 2323 double rcon; |
| 2324 return solve (typ, ComplexColumnVector (b), info, rcon, 0); | |
| 5785 | 2325 } |
| 2326 | |
| 2327 ComplexColumnVector | |
| 2328 ComplexMatrix::solve (MatrixType &typ, const ColumnVector& b, | |
| 7788 | 2329 octave_idx_type& info, double& rcon) const |
| 5785 | 2330 { |
| 7788 | 2331 return solve (typ, ComplexColumnVector (b), info, rcon, 0); |
| 5785 | 2332 } |
| 2333 | |
| 2334 ComplexColumnVector | |
| 2335 ComplexMatrix::solve (MatrixType &typ, const ColumnVector& b, | |
| 7788 | 2336 octave_idx_type& info, double& rcon, |
| 5785 | 2337 solve_singularity_handler sing_handler) const |
| 2338 { | |
| 7788 | 2339 return solve (typ, ComplexColumnVector (b), info, rcon, sing_handler); |
| 5785 | 2340 } |
| 2341 | |
| 2342 ComplexColumnVector | |
| 2343 ComplexMatrix::solve (MatrixType &typ, const ComplexColumnVector& b) const | |
| 2344 { | |
| 2345 octave_idx_type info; | |
| 7788 | 2346 double rcon; |
| 2347 return solve (typ, b, info, rcon, 0); | |
| 5785 | 2348 } |
| 2349 | |
| 2350 ComplexColumnVector | |
| 2351 ComplexMatrix::solve (MatrixType &typ, const ComplexColumnVector& b, | |
| 2352 octave_idx_type& info) const | |
| 2353 { | |
| 7788 | 2354 double rcon; |
| 2355 return solve (typ, b, info, rcon, 0); | |
| 5785 | 2356 } |
| 2357 | |
| 2358 ComplexColumnVector | |
| 2359 ComplexMatrix::solve (MatrixType &typ, const ComplexColumnVector& b, | |
| 7788 | 2360 octave_idx_type& info, double& rcon) const |
| 5785 | 2361 { |
| 7788 | 2362 return solve (typ, b, info, rcon, 0); |
| 5785 | 2363 } |
| 2364 | |
| 2365 ComplexColumnVector | |
| 2366 ComplexMatrix::solve (MatrixType &typ, const ComplexColumnVector& b, | |
| 7788 | 2367 octave_idx_type& info, double& rcon, |
| 5785 | 2368 solve_singularity_handler sing_handler) const |
| 2369 { | |
| 2370 | |
| 2371 ComplexMatrix tmp (b); | |
| 7788 | 2372 return solve (typ, tmp, info, rcon, sing_handler).column(static_cast<octave_idx_type> (0)); |
| 5785 | 2373 } |
| 2374 | |
| 2375 ComplexMatrix | |
| 458 | 2376 ComplexMatrix::solve (const Matrix& b) const |
| 2377 { | |
| 5275 | 2378 octave_idx_type info; |
| 7788 | 2379 double rcon; |
| 2380 return solve (b, info, rcon, 0); | |
| 458 | 2381 } |
| 2382 | |
| 2383 ComplexMatrix | |
| 5275 | 2384 ComplexMatrix::solve (const Matrix& b, octave_idx_type& info) const |
| 458 | 2385 { |
| 7788 | 2386 double rcon; |
| 2387 return solve (b, info, rcon, 0); | |
| 458 | 2388 } |
| 2389 | |
| 2390 ComplexMatrix | |
| 7788 | 2391 ComplexMatrix::solve (const Matrix& b, octave_idx_type& info, double& rcon) const |
| 458 | 2392 { |
| 7788 | 2393 return solve (b, info, rcon, 0); |
| 3480 | 2394 } |
| 2395 | |
| 2396 ComplexMatrix | |
| 7788 | 2397 ComplexMatrix::solve (const Matrix& b, octave_idx_type& info, double& rcon, |
| 3480 | 2398 solve_singularity_handler sing_handler) const |
| 2399 { | |
| 458 | 2400 ComplexMatrix tmp (b); |
| 7788 | 2401 return solve (tmp, info, rcon, sing_handler); |
| 458 | 2402 } |
| 2403 | |
| 2404 ComplexMatrix | |
| 2405 ComplexMatrix::solve (const ComplexMatrix& b) const | |
| 2406 { | |
| 5275 | 2407 octave_idx_type info; |
| 7788 | 2408 double rcon; |
| 2409 return solve (b, info, rcon, 0); | |
| 458 | 2410 } |
| 2411 | |
| 2412 ComplexMatrix | |
| 5275 | 2413 ComplexMatrix::solve (const ComplexMatrix& b, octave_idx_type& info) const |
| 458 | 2414 { |
| 7788 | 2415 double rcon; |
| 2416 return solve (b, info, rcon, 0); | |
| 458 | 2417 } |
| 3480 | 2418 |
| 458 | 2419 ComplexMatrix |
| 7788 | 2420 ComplexMatrix::solve (const ComplexMatrix& b, octave_idx_type& info, double& rcon) const |
| 458 | 2421 { |
| 7788 | 2422 return solve (b, info, rcon, 0); |
| 3480 | 2423 } |
| 2424 | |
| 2425 ComplexMatrix | |
| 7788 | 2426 ComplexMatrix::solve (const ComplexMatrix& b, octave_idx_type& info, double& rcon, |
| 3480 | 2427 solve_singularity_handler sing_handler) const |
| 2428 { | |
| 5785 | 2429 MatrixType mattype (*this); |
| 7788 | 2430 return solve (mattype, b, info, rcon, sing_handler); |
| 458 | 2431 } |
| 2432 | |
| 2433 ComplexColumnVector | |
| 3585 | 2434 ComplexMatrix::solve (const ColumnVector& b) const |
| 2435 { | |
| 5275 | 2436 octave_idx_type info; |
| 7788 | 2437 double rcon; |
| 2438 return solve (ComplexColumnVector (b), info, rcon, 0); | |
| 3585 | 2439 } |
| 2440 | |
| 2441 ComplexColumnVector | |
| 5275 | 2442 ComplexMatrix::solve (const ColumnVector& b, octave_idx_type& info) const |
| 3585 | 2443 { |
| 7788 | 2444 double rcon; |
| 2445 return solve (ComplexColumnVector (b), info, rcon, 0); | |
| 3585 | 2446 } |
| 2447 | |
| 2448 ComplexColumnVector | |
| 5785 | 2449 ComplexMatrix::solve (const ColumnVector& b, octave_idx_type& info, |
| 7788 | 2450 double& rcon) const |
| 3585 | 2451 { |
| 7788 | 2452 return solve (ComplexColumnVector (b), info, rcon, 0); |
| 3585 | 2453 } |
| 2454 | |
| 2455 ComplexColumnVector | |
| 5785 | 2456 ComplexMatrix::solve (const ColumnVector& b, octave_idx_type& info, |
| 7788 | 2457 double& rcon, |
| 3585 | 2458 solve_singularity_handler sing_handler) const |
| 2459 { | |
| 7788 | 2460 return solve (ComplexColumnVector (b), info, rcon, sing_handler); |
| 3585 | 2461 } |
| 2462 | |
| 2463 ComplexColumnVector | |
| 458 | 2464 ComplexMatrix::solve (const ComplexColumnVector& b) const |
| 2465 { | |
| 5275 | 2466 octave_idx_type info; |
| 7788 | 2467 double rcon; |
| 2468 return solve (b, info, rcon, 0); | |
| 458 | 2469 } |
| 2470 | |
| 2471 ComplexColumnVector | |
| 5275 | 2472 ComplexMatrix::solve (const ComplexColumnVector& b, octave_idx_type& info) const |
| 458 | 2473 { |
| 7788 | 2474 double rcon; |
| 2475 return solve (b, info, rcon, 0); | |
| 458 | 2476 } |
| 2477 | |
| 2478 ComplexColumnVector | |
| 5275 | 2479 ComplexMatrix::solve (const ComplexColumnVector& b, octave_idx_type& info, |
| 7788 | 2480 double& rcon) const |
| 458 | 2481 { |
| 7788 | 2482 return solve (b, info, rcon, 0); |
| 3480 | 2483 } |
| 2484 | |
| 2485 ComplexColumnVector | |
| 5275 | 2486 ComplexMatrix::solve (const ComplexColumnVector& b, octave_idx_type& info, |
| 7788 | 2487 double& rcon, |
| 3480 | 2488 solve_singularity_handler sing_handler) const |
| 2489 { | |
| 5785 | 2490 MatrixType mattype (*this); |
| 7788 | 2491 return solve (mattype, b, info, rcon, sing_handler); |
| 458 | 2492 } |
| 2493 | |
| 2494 ComplexMatrix | |
| 3585 | 2495 ComplexMatrix::lssolve (const Matrix& b) const |
| 2496 { | |
| 5275 | 2497 octave_idx_type info; |
| 2498 octave_idx_type rank; | |
| 7788 | 2499 double rcon; |
| 2500 return lssolve (ComplexMatrix (b), info, rank, rcon); | |
| 3585 | 2501 } |
| 2502 | |
| 2503 ComplexMatrix | |
| 5275 | 2504 ComplexMatrix::lssolve (const Matrix& b, octave_idx_type& info) const |
| 3585 | 2505 { |
| 5275 | 2506 octave_idx_type rank; |
| 7788 | 2507 double rcon; |
| 2508 return lssolve (ComplexMatrix (b), info, rank, rcon); | |
| 3585 | 2509 } |
| 2510 | |
| 2511 ComplexMatrix | |
| 7076 | 2512 ComplexMatrix::lssolve (const Matrix& b, octave_idx_type& info, |
| 2513 octave_idx_type& rank) const | |
| 3585 | 2514 { |
| 7788 | 2515 double rcon; |
| 2516 return lssolve (ComplexMatrix (b), info, rank, rcon); | |
| 7076 | 2517 } |
| 2518 | |
| 2519 ComplexMatrix | |
| 2520 ComplexMatrix::lssolve (const Matrix& b, octave_idx_type& info, | |
| 7788 | 2521 octave_idx_type& rank, double& rcon) const |
| 7076 | 2522 { |
| 7788 | 2523 return lssolve (ComplexMatrix (b), info, rank, rcon); |
| 3585 | 2524 } |
| 2525 | |
| 2526 ComplexMatrix | |
| 458 | 2527 ComplexMatrix::lssolve (const ComplexMatrix& b) const |
| 2528 { | |
| 5275 | 2529 octave_idx_type info; |
| 2530 octave_idx_type rank; | |
| 7788 | 2531 double rcon; |
| 2532 return lssolve (b, info, rank, rcon); | |
| 458 | 2533 } |
| 2534 | |
| 2535 ComplexMatrix | |
| 5275 | 2536 ComplexMatrix::lssolve (const ComplexMatrix& b, octave_idx_type& info) const |
| 458 | 2537 { |
| 5275 | 2538 octave_idx_type rank; |
| 7788 | 2539 double rcon; |
| 2540 return lssolve (b, info, rank, rcon); | |
| 458 | 2541 } |
| 2542 | |
| 2543 ComplexMatrix | |
| 7076 | 2544 ComplexMatrix::lssolve (const ComplexMatrix& b, octave_idx_type& info, |
| 2545 octave_idx_type& rank) const | |
| 2546 { | |
| 7788 | 2547 double rcon; |
| 2548 return lssolve (b, info, rank, rcon); | |
| 7076 | 2549 } |
| 2550 | |
| 2551 ComplexMatrix | |
| 2552 ComplexMatrix::lssolve (const ComplexMatrix& b, octave_idx_type& info, | |
| 7788 | 2553 octave_idx_type& rank, double& rcon) const |
| 458 | 2554 { |
| 1948 | 2555 ComplexMatrix retval; |
| 2556 | |
| 5275 | 2557 octave_idx_type nrhs = b.cols (); |
| 2558 | |
| 2559 octave_idx_type m = rows (); | |
| 2560 octave_idx_type n = cols (); | |
| 458 | 2561 |
| 6924 | 2562 if (m != b.rows ()) |
| 1948 | 2563 (*current_liboctave_error_handler) |
| 2564 ("matrix dimension mismatch solution of linear equations"); | |
| 6924 | 2565 else if (m== 0 || n == 0 || b.cols () == 0) |
| 2566 retval = ComplexMatrix (n, b.cols (), Complex (0.0, 0.0)); | |
| 1948 | 2567 else |
| 458 | 2568 { |
| 7072 | 2569 volatile octave_idx_type minmn = (m < n ? m : n); |
| 2570 octave_idx_type maxmn = m > n ? m : n; | |
| 7788 | 2571 rcon = -1.0; |
| 7072 | 2572 |
| 2573 if (m != n) | |
| 2574 { | |
| 2575 retval = ComplexMatrix (maxmn, nrhs); | |
| 2576 | |
| 2577 for (octave_idx_type j = 0; j < nrhs; j++) | |
| 2578 for (octave_idx_type i = 0; i < m; i++) | |
| 2579 retval.elem (i, j) = b.elem (i, j); | |
| 2580 } | |
| 2581 else | |
| 2582 retval = b; | |
| 2583 | |
| 1948 | 2584 ComplexMatrix atmp = *this; |
| 2585 Complex *tmp_data = atmp.fortran_vec (); | |
| 2586 | |
| 7072 | 2587 Complex *pretval = retval.fortran_vec (); |
| 2588 Array<double> s (minmn); | |
| 7071 | 2589 double *ps = s.fortran_vec (); |
| 2563 | 2590 |
| 7072 | 2591 // Ask ZGELSD what the dimension of WORK should be. |
| 5275 | 2592 octave_idx_type lwork = -1; |
| 3752 | 2593 |
| 2594 Array<Complex> work (1); | |
| 7079 | 2595 |
| 7477 | 2596 octave_idx_type smlsiz; |
| 2597 F77_FUNC (xilaenv, XILAENV) (9, F77_CONST_CHAR_ARG2 ("ZGELSD", 6), | |
| 2598 F77_CONST_CHAR_ARG2 (" ", 1), | |
| 7478 | 2599 0, 0, 0, 0, smlsiz |
| 7477 | 2600 F77_CHAR_ARG_LEN (6) |
| 7478 | 2601 F77_CHAR_ARG_LEN (1)); |
| 7079 | 2602 |
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2603 octave_idx_type mnthr; |
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2604 F77_FUNC (xilaenv, XILAENV) (6, F77_CONST_CHAR_ARG2 ("ZGELSD", 6), |
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2605 F77_CONST_CHAR_ARG2 (" ", 1), |
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2606 m, n, nrhs, -1, mnthr |
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2607 F77_CHAR_ARG_LEN (6) |
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2608 F77_CHAR_ARG_LEN (1)); |
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2609 |
| 7079 | 2610 // We compute the size of rwork and iwork because ZGELSD in |
| 2611 // older versions of LAPACK does not return them on a query | |
| 2612 // call. | |
| 7124 | 2613 double dminmn = static_cast<double> (minmn); |
| 2614 double dsmlsizp1 = static_cast<double> (smlsiz+1); | |
| 7079 | 2615 #if defined (HAVE_LOG2) |
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2616 double tmp = log2 (dminmn / dsmlsizp1); |
| 7079 | 2617 #else |
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2618 double tmp = log (dminmn / dsmlsizp1) / log (2.0); |
| 7079 | 2619 #endif |
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2620 octave_idx_type nlvl = static_cast<octave_idx_type> (tmp) + 1; |
| 7079 | 2621 if (nlvl < 0) |
| 2622 nlvl = 0; | |
| 2623 | |
| 2624 octave_idx_type lrwork = minmn*(10 + 2*smlsiz + 8*nlvl) | |
| 2625 + 3*smlsiz*nrhs + (smlsiz+1)*(smlsiz+1); | |
| 2626 if (lrwork < 1) | |
| 2627 lrwork = 1; | |
| 2628 Array<double> rwork (lrwork); | |
| 2629 double *prwork = rwork.fortran_vec (); | |
| 2630 | |
| 2631 octave_idx_type liwork = 3 * minmn * nlvl + 11 * minmn; | |
| 2632 if (liwork < 1) | |
| 2633 liwork = 1; | |
| 2634 Array<octave_idx_type> iwork (liwork); | |
| 2635 octave_idx_type* piwork = iwork.fortran_vec (); | |
| 7072 | 2636 |
| 2637 F77_XFCN (zgelsd, ZGELSD, (m, n, nrhs, tmp_data, m, pretval, maxmn, | |
| 7788 | 2638 ps, rcon, rank, work.fortran_vec (), |
| 7079 | 2639 lwork, prwork, piwork, info)); |
| 1948 | 2640 |
| 7476 | 2641 // The workspace query is broken in at least LAPACK 3.0.0 |
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2642 // through 3.1.1 when n >= mnthr. The obtuse formula below |
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2643 // should provide sufficient workspace for ZGELSD to operate |
| 7476 | 2644 // efficiently. |
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2645 if (n >= mnthr) |
| 7476 | 2646 { |
| 2647 octave_idx_type addend = m; | |
| 2648 | |
| 2649 if (2*m-4 > addend) | |
| 2650 addend = 2*m-4; | |
| 2651 | |
| 2652 if (nrhs > addend) | |
| 2653 addend = nrhs; | |
| 2654 | |
| 2655 if (n-3*m > addend) | |
| 2656 addend = n-3*m; | |
| 2657 | |
| 2658 const octave_idx_type lworkaround = 4*m + m*m + addend; | |
| 2659 | |
| 2660 if (std::real (work(0)) < lworkaround) | |
| 2661 work(0) = lworkaround; | |
| 2662 } | |
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2663 else if (m >= n) |
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2664 { |
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2665 octave_idx_type lworkaround = 2*m + m*nrhs; |
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2666 |
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2667 if (std::real (work(0)) < lworkaround) |
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2668 work(0) = lworkaround; |
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2669 } |
| 7476 | 2670 |
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2671 lwork = static_cast<octave_idx_type> (std::real (work(0))); |
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2672 work.resize (lwork); |
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2673 |
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2674 F77_XFCN (zgelsd, ZGELSD, (m, n, nrhs, tmp_data, m, pretval, |
| 7788 | 2675 maxmn, ps, rcon, rank, |
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2676 work.fortran_vec (), lwork, |
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2677 prwork, piwork, info)); |
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2678 |
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2679 if (rank < minmn) |
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2680 (*current_liboctave_warning_handler) |
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2681 ("zgelsd: rank deficient %dx%d matrix, rank = %d, tol = %e", |
| 7788 | 2682 m, n, rank, rcon); |
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2683 |
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2684 if (s.elem (0) == 0.0) |
| 7788 | 2685 rcon = 0.0; |
| 1948 | 2686 else |
| 7788 | 2687 rcon = s.elem (minmn - 1) / s.elem (0); |
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2688 |
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2689 retval.resize (n, nrhs); |
| 458 | 2690 } |
| 2691 | |
| 2692 return retval; | |
| 2693 } | |
| 2694 | |
| 2695 ComplexColumnVector | |
| 3585 | 2696 ComplexMatrix::lssolve (const ColumnVector& b) const |
| 2697 { | |
| 5275 | 2698 octave_idx_type info; |
| 2699 octave_idx_type rank; | |
| 7788 | 2700 double rcon; |
| 2701 return lssolve (ComplexColumnVector (b), info, rank, rcon); | |
| 3585 | 2702 } |
| 2703 | |
| 2704 ComplexColumnVector | |
| 5275 | 2705 ComplexMatrix::lssolve (const ColumnVector& b, octave_idx_type& info) const |
| 3585 | 2706 { |
| 5275 | 2707 octave_idx_type rank; |
| 7788 | 2708 double rcon; |
| 2709 return lssolve (ComplexColumnVector (b), info, rank, rcon); | |
| 3585 | 2710 } |
| 2711 | |
| 2712 ComplexColumnVector | |
| 7076 | 2713 ComplexMatrix::lssolve (const ColumnVector& b, octave_idx_type& info, |
| 2714 octave_idx_type& rank) const | |
| 3585 | 2715 { |
| 7788 | 2716 double rcon; |
| 2717 return lssolve (ComplexColumnVector (b), info, rank, rcon); | |
| 7076 | 2718 } |
| 2719 | |
| 2720 ComplexColumnVector | |
| 2721 ComplexMatrix::lssolve (const ColumnVector& b, octave_idx_type& info, | |
| 7788 | 2722 octave_idx_type& rank, double& rcon) const |
| 7076 | 2723 { |
| 7788 | 2724 return lssolve (ComplexColumnVector (b), info, rank, rcon); |
| 3585 | 2725 } |
| 2726 | |
| 2727 ComplexColumnVector | |
| 458 | 2728 ComplexMatrix::lssolve (const ComplexColumnVector& b) const |
| 2729 { | |
| 5275 | 2730 octave_idx_type info; |
| 2731 octave_idx_type rank; | |
| 7788 | 2732 double rcon; |
| 2733 return lssolve (b, info, rank, rcon); | |
| 458 | 2734 } |
| 2735 | |
| 2736 ComplexColumnVector | |
| 5275 | 2737 ComplexMatrix::lssolve (const ComplexColumnVector& b, octave_idx_type& info) const |
| 458 | 2738 { |
| 5275 | 2739 octave_idx_type rank; |
| 7788 | 2740 double rcon; |
| 2741 return lssolve (b, info, rank, rcon); | |
| 458 | 2742 } |
| 2743 | |
| 2744 ComplexColumnVector | |
| 5275 | 2745 ComplexMatrix::lssolve (const ComplexColumnVector& b, octave_idx_type& info, |
| 2746 octave_idx_type& rank) const | |
| 458 | 2747 { |
| 7788 | 2748 double rcon; |
| 2749 return lssolve (b, info, rank, rcon); | |
| 7076 | 2750 |
| 2751 } | |
| 2752 | |
| 2753 ComplexColumnVector | |
| 2754 ComplexMatrix::lssolve (const ComplexColumnVector& b, octave_idx_type& info, | |
| 7788 | 2755 octave_idx_type& rank, double& rcon) const |
| 7076 | 2756 { |
| 1948 | 2757 ComplexColumnVector retval; |
| 2758 | |
| 5275 | 2759 octave_idx_type nrhs = 1; |
| 2760 | |
| 2761 octave_idx_type m = rows (); | |
| 2762 octave_idx_type n = cols (); | |
| 458 | 2763 |
| 6924 | 2764 if (m != b.length ()) |
| 1948 | 2765 (*current_liboctave_error_handler) |
| 6924 | 2766 ("matrix dimension mismatch solution of linear equations"); |
| 2767 else if (m == 0 || n == 0 || b.cols () == 0) | |
| 2768 retval = ComplexColumnVector (n, Complex (0.0, 0.0)); | |
| 1948 | 2769 else |
| 458 | 2770 { |
| 7072 | 2771 volatile octave_idx_type minmn = (m < n ? m : n); |
| 2772 octave_idx_type maxmn = m > n ? m : n; | |
| 7788 | 2773 rcon = -1.0; |
| 7072 | 2774 |
| 2775 if (m != n) | |
| 2776 { | |
| 2777 retval = ComplexColumnVector (maxmn); | |
| 2778 | |
| 2779 for (octave_idx_type i = 0; i < m; i++) | |
| 2780 retval.elem (i) = b.elem (i); | |
| 2781 } | |
| 2782 else | |
| 2783 retval = b; | |
| 2784 | |
| 1948 | 2785 ComplexMatrix atmp = *this; |
| 2786 Complex *tmp_data = atmp.fortran_vec (); | |
| 2787 | |
| 7072 | 2788 Complex *pretval = retval.fortran_vec (); |
| 2789 Array<double> s (minmn); | |
| 7071 | 2790 double *ps = s.fortran_vec (); |
| 1948 | 2791 |
| 7072 | 2792 // Ask ZGELSD what the dimension of WORK should be. |
| 5275 | 2793 octave_idx_type lwork = -1; |
| 3752 | 2794 |
| 2795 Array<Complex> work (1); | |
| 7079 | 2796 |
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2797 octave_idx_type smlsiz; |
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2798 F77_FUNC (xilaenv, XILAENV) (9, F77_CONST_CHAR_ARG2 ("ZGELSD", 6), |
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2799 F77_CONST_CHAR_ARG2 (" ", 1), |
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2800 0, 0, 0, 0, smlsiz |
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2801 F77_CHAR_ARG_LEN (6) |
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2802 F77_CHAR_ARG_LEN (1)); |
| 7079 | 2803 |
| 2804 // We compute the size of rwork and iwork because ZGELSD in | |
| 2805 // older versions of LAPACK does not return them on a query | |
| 2806 // call. | |
| 7124 | 2807 double dminmn = static_cast<double> (minmn); |
| 2808 double dsmlsizp1 = static_cast<double> (smlsiz+1); | |
| 7079 | 2809 #if defined (HAVE_LOG2) |
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2810 double tmp = log2 (dminmn / dsmlsizp1); |
| 7079 | 2811 #else |
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2812 double tmp = log (dminmn / dsmlsizp1) / log (2.0); |
| 7079 | 2813 #endif |
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2814 octave_idx_type nlvl = static_cast<octave_idx_type> (tmp) + 1; |
| 7079 | 2815 if (nlvl < 0) |
| 2816 nlvl = 0; | |
| 2817 | |
| 2818 octave_idx_type lrwork = minmn*(10 + 2*smlsiz + 8*nlvl) | |
| 2819 + 3*smlsiz*nrhs + (smlsiz+1)*(smlsiz+1); | |
| 2820 if (lrwork < 1) | |
| 2821 lrwork = 1; | |
| 2822 Array<double> rwork (lrwork); | |
| 2823 double *prwork = rwork.fortran_vec (); | |
| 2824 | |
| 2825 octave_idx_type liwork = 3 * minmn * nlvl + 11 * minmn; | |
| 2826 if (liwork < 1) | |
| 2827 liwork = 1; | |
| 2828 Array<octave_idx_type> iwork (liwork); | |
| 2829 octave_idx_type* piwork = iwork.fortran_vec (); | |
| 7072 | 2830 |
| 2831 F77_XFCN (zgelsd, ZGELSD, (m, n, nrhs, tmp_data, m, pretval, maxmn, | |
| 7788 | 2832 ps, rcon, rank, work.fortran_vec (), |
| 7079 | 2833 lwork, prwork, piwork, info)); |
| 1948 | 2834 |
|
7482
29980c6b8604
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John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2835 lwork = static_cast<octave_idx_type> (std::real (work(0))); |
|
29980c6b8604
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parents:
7478
diff
changeset
|
2836 work.resize (lwork); |
|
29980c6b8604
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John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2837 rwork.resize (static_cast<octave_idx_type> (rwork(0))); |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2838 iwork.resize (iwork(0)); |
|
29980c6b8604
don't check f77_exception_encountered
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parents:
7478
diff
changeset
|
2839 |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2840 F77_XFCN (zgelsd, ZGELSD, (m, n, nrhs, tmp_data, m, pretval, |
| 7788 | 2841 maxmn, ps, rcon, rank, |
|
7482
29980c6b8604
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John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2842 work.fortran_vec (), lwork, |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2843 prwork, piwork, info)); |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2844 |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2845 if (rank < minmn) |
| 1948 | 2846 { |
|
7482
29980c6b8604
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John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2847 if (rank < minmn) |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2848 (*current_liboctave_warning_handler) |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2849 ("zgelsd: rank deficient %dx%d matrix, rank = %d, tol = %e", |
| 7788 | 2850 m, n, rank, rcon); |
|
7482
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2851 |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2852 if (s.elem (0) == 0.0) |
| 7788 | 2853 rcon = 0.0; |
|
7482
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2854 else |
| 7788 | 2855 rcon = s.elem (minmn - 1) / s.elem (0); |
|
7482
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2856 |
|
29980c6b8604
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John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2857 retval.resize (n, nrhs); |
| 1948 | 2858 } |
| 458 | 2859 } |
| 2860 | |
| 2861 return retval; | |
| 2862 } | |
| 2863 | |
| 1819 | 2864 // Constants for matrix exponential calculation. |
| 2865 | |
| 2866 static double padec [] = | |
| 2867 { | |
| 2868 5.0000000000000000e-1, | |
| 2869 1.1666666666666667e-1, | |
| 2870 1.6666666666666667e-2, | |
| 2871 1.6025641025641026e-3, | |
| 2872 1.0683760683760684e-4, | |
| 2873 4.8562548562548563e-6, | |
| 2874 1.3875013875013875e-7, | |
| 2875 1.9270852604185938e-9, | |
| 2876 }; | |
| 2877 | |
| 7400 | 2878 static void |
| 7788 | 2879 solve_singularity_warning (double rcon) |
| 7400 | 2880 { |
| 2881 (*current_liboctave_warning_handler) | |
| 2882 ("singular matrix encountered in expm calculation, rcond = %g", | |
| 7788 | 2883 rcon); |
| 7400 | 2884 } |
| 2885 | |
| 1819 | 2886 ComplexMatrix |
| 2887 ComplexMatrix::expm (void) const | |
| 2888 { | |
| 2889 ComplexMatrix retval; | |
| 2890 | |
| 2891 ComplexMatrix m = *this; | |
| 2892 | |
| 5275 | 2893 octave_idx_type nc = columns (); |
| 1819 | 2894 |
| 3130 | 2895 // Preconditioning step 1: trace normalization to reduce dynamic |
| 2896 // range of poles, but avoid making stable eigenvalues unstable. | |
| 2897 | |
| 1819 | 2898 // trace shift value |
| 2899 Complex trshift = 0.0; | |
| 2900 | |
| 5275 | 2901 for (octave_idx_type i = 0; i < nc; i++) |
| 1819 | 2902 trshift += m.elem (i, i); |
| 2903 | |
| 2904 trshift /= nc; | |
| 2905 | |
| 3130 | 2906 if (trshift.real () < 0.0) |
| 6958 | 2907 { |
| 2908 trshift = trshift.imag (); | |
| 2909 if (trshift.real () > 709.0) | |
| 2910 trshift = 709.0; | |
| 2911 } | |
| 3130 | 2912 |
| 5275 | 2913 for (octave_idx_type i = 0; i < nc; i++) |
| 1819 | 2914 m.elem (i, i) -= trshift; |
| 2915 | |
| 2916 // Preconditioning step 2: eigenvalue balancing. | |
| 3331 | 2917 // code follows development in AEPBAL |
| 2918 | |
| 2919 Complex *mp = m.fortran_vec (); | |
| 3467 | 2920 |
| 5275 | 2921 octave_idx_type info, ilo, ihi,ilos,ihis; |
| 3468 | 2922 Array<double> dpermute (nc); |
| 2923 Array<double> dscale (nc); | |
| 2924 | |
| 5775 | 2925 // FIXME -- should pass job as a parameter in expm |
| 3468 | 2926 |
| 2927 // Permute first | |
| 2928 char job = 'P'; | |
| 4552 | 2929 F77_XFCN (zgebal, ZGEBAL, (F77_CONST_CHAR_ARG2 (&job, 1), |
| 2930 nc, mp, nc, ilo, ihi, | |
| 2931 dpermute.fortran_vec (), info | |
| 2932 F77_CHAR_ARG_LEN (1))); | |
| 3331 | 2933 |
| 3468 | 2934 // then scale |
| 2935 job = 'S'; | |
| 4552 | 2936 F77_XFCN (zgebal, ZGEBAL, (F77_CONST_CHAR_ARG2 (&job, 1), |
| 2937 nc, mp, nc, ilos, ihis, | |
| 2938 dscale.fortran_vec (), info | |
| 2939 F77_CHAR_ARG_LEN (1))); | |
| 3331 | 2940 |
| 1819 | 2941 // Preconditioning step 3: scaling. |
| 2942 | |
| 2943 ColumnVector work (nc); | |
| 3130 | 2944 double inf_norm; |
| 2945 | |
| 4552 | 2946 F77_XFCN (xzlange, XZLANGE, (F77_CONST_CHAR_ARG2 ("I", 1), |
| 2947 nc, nc, m.fortran_vec (), nc, | |
| 2948 work.fortran_vec (), inf_norm | |
| 2949 F77_CHAR_ARG_LEN (1))); | |
| 3331 | 2950 |
| 2800 | 2951 int sqpow = (inf_norm > 0.0 |
| 2952 ? static_cast<int> (1.0 + log (inf_norm) / log (2.0)) : 0); | |
| 1819 | 2953 |
| 2954 // Check whether we need to square at all. | |
| 2955 | |
| 2956 if (sqpow < 0) | |
| 2957 sqpow = 0; | |
| 2958 | |
| 2959 if (sqpow > 0) | |
| 2960 { | |
| 7400 | 2961 if (sqpow > 1023) |
| 2962 sqpow = 1023; | |
| 2963 | |
| 1819 | 2964 double scale_factor = 1.0; |
| 5275 | 2965 for (octave_idx_type i = 0; i < sqpow; i++) |
| 1819 | 2966 scale_factor *= 2.0; |
| 2967 | |
| 2968 m = m / scale_factor; | |
| 2969 } | |
| 2970 | |
| 2971 // npp, dpp: pade' approx polynomial matrices. | |
| 2972 | |
| 2973 ComplexMatrix npp (nc, nc, 0.0); | |
| 6958 | 2974 Complex *pnpp = npp.fortran_vec (); |
| 1819 | 2975 ComplexMatrix dpp = npp; |
| 6958 | 2976 Complex *pdpp = dpp.fortran_vec (); |
| 1819 | 2977 |
| 2978 // Now powers a^8 ... a^1. | |
| 2979 | |
| 2980 int minus_one_j = -1; | |
| 5275 | 2981 for (octave_idx_type j = 7; j >= 0; j--) |
| 1819 | 2982 { |
| 6958 | 2983 for (octave_idx_type i = 0; i < nc; i++) |
| 2984 { | |
| 2985 octave_idx_type k = i * nc + i; | |
| 7265 | 2986 pnpp[k] += padec[j]; |
| 2987 pdpp[k] += minus_one_j * padec[j]; | |
| 6958 | 2988 } |
| 7265 | 2989 |
| 6958 | 2990 npp = m * npp; |
| 7265 | 2991 pnpp = npp.fortran_vec (); |
| 2992 | |
| 6958 | 2993 dpp = m * dpp; |
| 7265 | 2994 pdpp = dpp.fortran_vec (); |
| 2995 | |
| 1819 | 2996 minus_one_j *= -1; |
| 2997 } | |
| 2998 | |
| 2999 // Zero power. | |
| 3000 | |
| 3001 dpp = -dpp; | |
| 5275 | 3002 for (octave_idx_type j = 0; j < nc; j++) |
| 1819 | 3003 { |
| 3004 npp.elem (j, j) += 1.0; | |
| 3005 dpp.elem (j, j) += 1.0; | |
| 3006 } | |
| 3007 | |
| 3008 // Compute pade approximation = inverse (dpp) * npp. | |
| 3009 | |
| 7788 | 3010 double rcon; |
| 3011 retval = dpp.solve (npp, info, rcon, solve_singularity_warning); | |
| 7400 | 3012 |
| 3013 if (info < 0) | |
| 3014 return retval; | |
| 3015 | |
| 1819 | 3016 // Reverse preconditioning step 3: repeated squaring. |
| 3017 | |
| 3018 while (sqpow) | |
| 3019 { | |
| 3020 retval = retval * retval; | |
| 3021 sqpow--; | |
| 3022 } | |
| 3023 | |
| 3024 // Reverse preconditioning step 2: inverse balancing. | |
| 3467 | 3025 // Done in two steps: inverse scaling, then inverse permutation |
| 3026 | |
| 3027 // inverse scaling (diagonal transformation) | |
| 5275 | 3028 for (octave_idx_type i = 0; i < nc; i++) |
| 3029 for (octave_idx_type j = 0; j < nc; j++) | |
| 3468 | 3030 retval(i,j) *= dscale(i) / dscale(j); |
| 3467 | 3031 |
| 4153 | 3032 OCTAVE_QUIT; |
| 3033 | |
| 3467 | 3034 // construct balancing permutation vector |
| 6867 | 3035 Array<octave_idx_type> iperm (nc); |
| 5275 | 3036 for (octave_idx_type i = 0; i < nc; i++) |
| 4593 | 3037 iperm(i) = i; // initialize to identity permutation |
| 3467 | 3038 |
| 3039 // leading permutations in forward order | |
| 5275 | 3040 for (octave_idx_type i = 0; i < (ilo-1); i++) |
| 3468 | 3041 { |
| 6867 | 3042 octave_idx_type swapidx = static_cast<octave_idx_type> (dpermute(i)) - 1; |
| 5275 | 3043 octave_idx_type tmp = iperm(i); |
| 4593 | 3044 iperm(i) = iperm(swapidx); |
| 3045 iperm(swapidx) = tmp; | |
| 3468 | 3046 } |
| 3467 | 3047 |
| 7416 | 3048 // construct inverse balancing permutation vector |
| 3049 Array<octave_idx_type> invpvec (nc); | |
| 3050 for (octave_idx_type i = 0; i < nc; i++) | |
| 3051 invpvec(iperm(i)) = i; // Thanks to R. A. Lippert for this method | |
| 3052 | |
| 3053 OCTAVE_QUIT; | |
| 3054 | |
| 3055 ComplexMatrix tmpMat = retval; | |
| 3056 for (octave_idx_type i = 0; i < nc; i++) | |
| 3057 for (octave_idx_type j = 0; j < nc; j++) | |
| 3058 retval(i,j) = tmpMat(invpvec(i),invpvec(j)); | |
| 3059 | |
| 3060 OCTAVE_QUIT; | |
| 3061 | |
| 3062 for (octave_idx_type i = 0; i < nc; i++) | |
| 3063 iperm(i) = i; // initialize to identity permutation | |
| 3064 | |
| 3467 | 3065 // trailing permutations must be done in reverse order |
| 5275 | 3066 for (octave_idx_type i = nc - 1; i >= ihi; i--) |
| 3468 | 3067 { |
| 6867 | 3068 octave_idx_type swapidx = static_cast<octave_idx_type> (dpermute(i)) - 1; |
| 5275 | 3069 octave_idx_type tmp = iperm(i); |
| 4593 | 3070 iperm(i) = iperm(swapidx); |
| 3071 iperm(swapidx) = tmp; | |
| 3468 | 3072 } |
| 3467 | 3073 |
| 3074 // construct inverse balancing permutation vector | |
| 5275 | 3075 for (octave_idx_type i = 0; i < nc; i++) |
| 4593 | 3076 invpvec(iperm(i)) = i; // Thanks to R. A. Lippert for this method |
| 3467 | 3077 |
| 4153 | 3078 OCTAVE_QUIT; |
| 3079 | |
| 7416 | 3080 tmpMat = retval; |
| 5275 | 3081 for (octave_idx_type i = 0; i < nc; i++) |
| 3082 for (octave_idx_type j = 0; j < nc; j++) | |
| 3468 | 3083 retval(i,j) = tmpMat(invpvec(i),invpvec(j)); |
| 1819 | 3084 |
| 3085 // Reverse preconditioning step 1: fix trace normalization. | |
| 3086 | |
| 3130 | 3087 return exp (trshift) * retval; |
| 1819 | 3088 } |
| 3089 | |
| 1205 | 3090 // column vector by row vector -> matrix operations |
| 3091 | |
| 3092 ComplexMatrix | |
| 3093 operator * (const ColumnVector& v, const ComplexRowVector& a) | |
| 3094 { | |
| 3095 ComplexColumnVector tmp (v); | |
| 3096 return tmp * a; | |
| 3097 } | |
| 3098 | |
| 3099 ComplexMatrix | |
| 3100 operator * (const ComplexColumnVector& a, const RowVector& b) | |
| 3101 { | |
| 3102 ComplexRowVector tmp (b); | |
| 3103 return a * tmp; | |
| 3104 } | |
| 3105 | |
| 3106 ComplexMatrix | |
| 3107 operator * (const ComplexColumnVector& v, const ComplexRowVector& a) | |
| 3108 { | |
| 1948 | 3109 ComplexMatrix retval; |
| 3110 | |
| 5275 | 3111 octave_idx_type len = v.length (); |
| 3233 | 3112 |
| 3113 if (len != 0) | |
| 1205 | 3114 { |
| 5275 | 3115 octave_idx_type a_len = a.length (); |
| 3233 | 3116 |
| 3117 retval.resize (len, a_len); | |
| 3118 Complex *c = retval.fortran_vec (); | |
| 3119 | |
| 4552 | 3120 F77_XFCN (zgemm, ZGEMM, (F77_CONST_CHAR_ARG2 ("N", 1), |
| 3121 F77_CONST_CHAR_ARG2 ("N", 1), | |
| 3122 len, a_len, 1, 1.0, v.data (), len, | |
| 3123 a.data (), 1, 0.0, c, len | |
| 3124 F77_CHAR_ARG_LEN (1) | |
| 3125 F77_CHAR_ARG_LEN (1))); | |
| 1205 | 3126 } |
| 3127 | |
| 1948 | 3128 return retval; |
| 1205 | 3129 } |
| 3130 | |
| 458 | 3131 // matrix by diagonal matrix -> matrix operations |
| 3132 | |
| 3133 ComplexMatrix& | |
| 3134 ComplexMatrix::operator += (const DiagMatrix& a) | |
| 3135 { | |
| 5275 | 3136 octave_idx_type nr = rows (); |
| 3137 octave_idx_type nc = cols (); | |
| 3138 | |
| 3139 octave_idx_type a_nr = rows (); | |
| 3140 octave_idx_type a_nc = cols (); | |
| 2384 | 3141 |
| 3142 if (nr != a_nr || nc != a_nc) | |
| 458 | 3143 { |
| 2384 | 3144 gripe_nonconformant ("operator +=", nr, nc, a_nr, a_nc); |
| 889 | 3145 return *this; |
| 458 | 3146 } |
| 3147 | |
| 5275 | 3148 for (octave_idx_type i = 0; i < a.length (); i++) |
| 458 | 3149 elem (i, i) += a.elem (i, i); |
| 3150 | |
| 3151 return *this; | |
| 3152 } | |
| 3153 | |
| 3154 ComplexMatrix& | |
| 3155 ComplexMatrix::operator -= (const DiagMatrix& a) | |
| 3156 { | |
| 5275 | 3157 octave_idx_type nr = rows (); |
| 3158 octave_idx_type nc = cols (); | |
| 3159 | |
| 3160 octave_idx_type a_nr = rows (); | |
| 3161 octave_idx_type a_nc = cols (); | |
| 2384 | 3162 |
| 3163 if (nr != a_nr || nc != a_nc) | |
| 458 | 3164 { |
| 2384 | 3165 gripe_nonconformant ("operator -=", nr, nc, a_nr, a_nc); |
| 889 | 3166 return *this; |
| 458 | 3167 } |
| 3168 | |
| 5275 | 3169 for (octave_idx_type i = 0; i < a.length (); i++) |
| 458 | 3170 elem (i, i) -= a.elem (i, i); |
| 3171 | |
| 3172 return *this; | |
| 3173 } | |
| 3174 | |
| 3175 ComplexMatrix& | |
| 3176 ComplexMatrix::operator += (const ComplexDiagMatrix& a) | |
| 3177 { | |
| 5275 | 3178 octave_idx_type nr = rows (); |
| 3179 octave_idx_type nc = cols (); | |
| 3180 | |
| 3181 octave_idx_type a_nr = rows (); | |
| 3182 octave_idx_type a_nc = cols (); | |
| 2384 | 3183 |
| 3184 if (nr != a_nr || nc != a_nc) | |
| 458 | 3185 { |
| 2384 | 3186 gripe_nonconformant ("operator +=", nr, nc, a_nr, a_nc); |
| 889 | 3187 return *this; |
| 458 | 3188 } |
| 3189 | |
| 5275 | 3190 for (octave_idx_type i = 0; i < a.length (); i++) |
| 458 | 3191 elem (i, i) += a.elem (i, i); |
| 3192 | |
| 3193 return *this; | |
| 3194 } | |
| 3195 | |
| 3196 ComplexMatrix& | |
| 3197 ComplexMatrix::operator -= (const ComplexDiagMatrix& a) | |
| 3198 { | |
| 5275 | 3199 octave_idx_type nr = rows (); |
| 3200 octave_idx_type nc = cols (); | |
| 3201 | |
| 3202 octave_idx_type a_nr = rows (); | |
| 3203 octave_idx_type a_nc = cols (); | |
| 2384 | 3204 |
| 3205 if (nr != a_nr || nc != a_nc) | |
| 458 | 3206 { |
| 2384 | 3207 gripe_nonconformant ("operator -=", nr, nc, a_nr, a_nc); |
| 889 | 3208 return *this; |
| 458 | 3209 } |
| 3210 | |
| 5275 | 3211 for (octave_idx_type i = 0; i < a.length (); i++) |
| 458 | 3212 elem (i, i) -= a.elem (i, i); |
| 3213 | |
| 3214 return *this; | |
| 3215 } | |
| 3216 | |
| 3217 // matrix by matrix -> matrix operations | |
| 3218 | |
| 3219 ComplexMatrix& | |
| 3220 ComplexMatrix::operator += (const Matrix& a) | |
| 3221 { | |
| 5275 | 3222 octave_idx_type nr = rows (); |
| 3223 octave_idx_type nc = cols (); | |
| 3224 | |
| 3225 octave_idx_type a_nr = a.rows (); | |
| 3226 octave_idx_type a_nc = a.cols (); | |
| 2384 | 3227 |
| 3228 if (nr != a_nr || nc != a_nc) | |
| 458 | 3229 { |
| 2384 | 3230 gripe_nonconformant ("operator +=", nr, nc, a_nr, a_nc); |
| 458 | 3231 return *this; |
| 3232 } | |
| 3233 | |
| 3234 if (nr == 0 || nc == 0) | |
| 3235 return *this; | |
| 3236 | |
| 3237 Complex *d = fortran_vec (); // Ensures only one reference to my privates! | |
| 3238 | |
| 3769 | 3239 mx_inline_add2 (d, a.data (), length ()); |
| 458 | 3240 return *this; |
| 3241 } | |
| 3242 | |
| 3243 ComplexMatrix& | |
| 3244 ComplexMatrix::operator -= (const Matrix& a) | |
| 3245 { | |
| 5275 | 3246 octave_idx_type nr = rows (); |
| 3247 octave_idx_type nc = cols (); | |
| 3248 | |
| 3249 octave_idx_type a_nr = a.rows (); | |
| 3250 octave_idx_type a_nc = a.cols (); | |
| 2384 | 3251 |
| 3252 if (nr != a_nr || nc != a_nc) | |
| 458 | 3253 { |
| 2384 | 3254 gripe_nonconformant ("operator -=", nr, nc, a_nr, a_nc); |
| 458 | 3255 return *this; |
| 3256 } | |
| 3257 | |
| 3258 if (nr == 0 || nc == 0) | |
| 3259 return *this; | |
| 3260 | |
| 3261 Complex *d = fortran_vec (); // Ensures only one reference to my privates! | |
| 3262 | |
| 3769 | 3263 mx_inline_subtract2 (d, a.data (), length ()); |
| 458 | 3264 return *this; |
| 3265 } | |
| 3266 | |
| 3267 // unary operations | |
| 3268 | |
| 2964 | 3269 boolMatrix |
| 458 | 3270 ComplexMatrix::operator ! (void) const |
| 3271 { | |
| 5275 | 3272 octave_idx_type nr = rows (); |
| 3273 octave_idx_type nc = cols (); | |
| 2964 | 3274 |
| 3275 boolMatrix b (nr, nc); | |
| 3276 | |
| 5275 | 3277 for (octave_idx_type j = 0; j < nc; j++) |
| 3278 for (octave_idx_type i = 0; i < nr; i++) | |
| 5139 | 3279 b.elem (i, j) = elem (i, j) == 0.0; |
| 2964 | 3280 |
| 3281 return b; | |
| 458 | 3282 } |
| 3283 | |
| 3284 // other operations | |
| 3285 | |
| 2676 | 3286 Matrix |
|
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diff
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|
3287 ComplexMatrix::map (dmapper fcn) const |
| 458 | 3288 { |
|
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diff
changeset
|
3289 return MArray2<Complex>::map<double> (func_ptr (fcn)); |
|
8c32f95c2639
convert mapper functions to new format
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parents:
7488
diff
changeset
|
3290 } |
|
8c32f95c2639
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parents:
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diff
changeset
|
3291 |
|
8c32f95c2639
convert mapper functions to new format
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parents:
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diff
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|
3292 ComplexMatrix |
|
8c32f95c2639
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parents:
7488
diff
changeset
|
3293 ComplexMatrix::map (cmapper fcn) const |
|
8c32f95c2639
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parents:
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diff
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|
3294 { |
|
8c32f95c2639
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7488
diff
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|
3295 return MArray2<Complex>::map<Complex> (func_ptr (fcn)); |
| 3248 | 3296 } |
| 3297 | |
| 3298 boolMatrix | |
|
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diff
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|
3299 ComplexMatrix::map (bmapper fcn) const |
| 3248 | 3300 { |
|
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diff
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|
3301 return MArray2<Complex>::map<bool> (func_ptr (fcn)); |
| 458 | 3302 } |
| 3303 | |
| 2384 | 3304 bool |
|
7922
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3305 ComplexMatrix::any_element_is_nan (void) const |
|
935be827eaf8
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parents:
7803
diff
changeset
|
3306 { |
|
935be827eaf8
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parents:
7803
diff
changeset
|
3307 octave_idx_type nr = rows (); |
|
935be827eaf8
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John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3308 octave_idx_type nc = cols (); |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3309 |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3310 for (octave_idx_type j = 0; j < nc; j++) |
|
935be827eaf8
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parents:
7803
diff
changeset
|
3311 for (octave_idx_type i = 0; i < nr; i++) |
|
935be827eaf8
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John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3312 { |
|
935be827eaf8
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parents:
7803
diff
changeset
|
3313 Complex val = elem (i, j); |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3314 if (xisnan (val)) |
|
935be827eaf8
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John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3315 return true; |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3316 } |
|
935be827eaf8
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parents:
7803
diff
changeset
|
3317 |
|
935be827eaf8
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John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
3318 return false; |
|
935be827eaf8
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John W. Eaton <jwe@octave.org>
parents:
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diff
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|
3319 } |
|
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diff
changeset
|
3320 |
|
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John W. Eaton <jwe@octave.org>
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changeset
|
3321 bool |
| 2384 | 3322 ComplexMatrix::any_element_is_inf_or_nan (void) const |
| 3323 { | |
| 5275 | 3324 octave_idx_type nr = rows (); |
| 3325 octave_idx_type nc = cols (); | |
| 3326 | |
| 3327 for (octave_idx_type j = 0; j < nc; j++) | |
| 3328 for (octave_idx_type i = 0; i < nr; i++) | |
| 2384 | 3329 { |
| 3330 Complex val = elem (i, j); | |
| 3331 if (xisinf (val) || xisnan (val)) | |
| 3332 return true; | |
| 3333 } | |
| 3334 | |
| 3335 return false; | |
| 3336 } | |
| 3337 | |
| 2408 | 3338 // Return true if no elements have imaginary components. |
| 3339 | |
| 3340 bool | |
| 3341 ComplexMatrix::all_elements_are_real (void) const | |
| 3342 { | |
| 5275 | 3343 octave_idx_type nr = rows (); |
| 3344 octave_idx_type nc = cols (); | |
| 3345 | |
| 3346 for (octave_idx_type j = 0; j < nc; j++) | |
| 4349 | 3347 { |
| 5275 | 3348 for (octave_idx_type i = 0; i < nr; i++) |
| 4349 | 3349 { |
| 5315 | 3350 double ip = std::imag (elem (i, j)); |
| 4349 | 3351 |
| 3352 if (ip != 0.0 || lo_ieee_signbit (ip)) | |
| 3353 return false; | |
| 3354 } | |
| 3355 } | |
| 2408 | 3356 |
| 3357 return true; | |
| 3358 } | |
| 3359 | |
| 1968 | 3360 // Return nonzero if any element of CM has a non-integer real or |
| 3361 // imaginary part. Also extract the largest and smallest (real or | |
| 3362 // imaginary) values and return them in MAX_VAL and MIN_VAL. | |
| 3363 | |
| 2384 | 3364 bool |
| 1968 | 3365 ComplexMatrix::all_integers (double& max_val, double& min_val) const |
| 3366 { | |
| 5275 | 3367 octave_idx_type nr = rows (); |
| 3368 octave_idx_type nc = cols (); | |
| 1968 | 3369 |
| 3370 if (nr > 0 && nc > 0) | |
| 3371 { | |
| 3372 Complex val = elem (0, 0); | |
| 3373 | |
| 5315 | 3374 double r_val = std::real (val); |
| 3375 double i_val = std::imag (val); | |
| 1968 | 3376 |
| 3377 max_val = r_val; | |
| 3378 min_val = r_val; | |
| 3379 | |
| 3380 if (i_val > max_val) | |
| 3381 max_val = i_val; | |
| 3382 | |
| 3383 if (i_val < max_val) | |
| 3384 min_val = i_val; | |
| 3385 } | |
| 3386 else | |
| 2384 | 3387 return false; |
| 1968 | 3388 |
| 5275 | 3389 for (octave_idx_type j = 0; j < nc; j++) |
| 3390 for (octave_idx_type i = 0; i < nr; i++) | |
| 1968 | 3391 { |
| 3392 Complex val = elem (i, j); | |
| 3393 | |
| 5315 | 3394 double r_val = std::real (val); |
| 3395 double i_val = std::imag (val); | |
| 1968 | 3396 |
| 3397 if (r_val > max_val) | |
| 3398 max_val = r_val; | |
| 3399 | |
| 3400 if (i_val > max_val) | |
| 3401 max_val = i_val; | |
| 3402 | |
| 3403 if (r_val < min_val) | |
| 3404 min_val = r_val; | |
| 3405 | |
| 3406 if (i_val < min_val) | |
| 3407 min_val = i_val; | |
| 3408 | |
| 3409 if (D_NINT (r_val) != r_val || D_NINT (i_val) != i_val) | |
| 2384 | 3410 return false; |
| 1968 | 3411 } |
| 2384 | 3412 |
| 3413 return true; | |
| 1968 | 3414 } |
| 3415 | |
| 2384 | 3416 bool |
| 1968 | 3417 ComplexMatrix::too_large_for_float (void) const |
| 3418 { | |
| 5275 | 3419 octave_idx_type nr = rows (); |
| 3420 octave_idx_type nc = cols (); | |
| 3421 | |
| 3422 for (octave_idx_type j = 0; j < nc; j++) | |
| 3423 for (octave_idx_type i = 0; i < nr; i++) | |
| 1968 | 3424 { |
| 3425 Complex val = elem (i, j); | |
| 3426 | |
| 5315 | 3427 double r_val = std::real (val); |
| 3428 double i_val = std::imag (val); | |
| 1968 | 3429 |
| 5389 | 3430 if ((! (xisnan (r_val) || xisinf (r_val)) |
| 5387 | 3431 && fabs (r_val) > FLT_MAX) |
| 5389 | 3432 || (! (xisnan (i_val) || xisinf (i_val)) |
| 5387 | 3433 && fabs (i_val) > FLT_MAX)) |
| 2384 | 3434 return true; |
| 1968 | 3435 } |
| 3436 | |
| 2384 | 3437 return false; |
| 1968 | 3438 } |
| 3439 | |
| 5775 | 3440 // FIXME Do these really belong here? Maybe they should be |
| 4015 | 3441 // in a base class? |
| 3442 | |
| 2832 | 3443 boolMatrix |
| 4015 | 3444 ComplexMatrix::all (int dim) const |
| 458 | 3445 { |
| 4015 | 3446 MX_ALL_OP (dim); |
| 458 | 3447 } |
| 3448 | |
| 2832 | 3449 boolMatrix |
| 4015 | 3450 ComplexMatrix::any (int dim) const |
| 458 | 3451 { |
| 4015 | 3452 MX_ANY_OP (dim); |
| 458 | 3453 } |
| 3454 | |
| 3455 ComplexMatrix | |
| 3723 | 3456 ComplexMatrix::cumprod (int dim) const |
| 458 | 3457 { |
| 4015 | 3458 MX_CUMULATIVE_OP (ComplexMatrix, Complex, *=); |
| 458 | 3459 } |
| 3460 | |
| 3461 ComplexMatrix | |
| 3723 | 3462 ComplexMatrix::cumsum (int dim) const |
| 458 | 3463 { |
| 4015 | 3464 MX_CUMULATIVE_OP (ComplexMatrix, Complex, +=); |
| 458 | 3465 } |
| 3466 | |
| 3467 ComplexMatrix | |
| 3723 | 3468 ComplexMatrix::prod (int dim) const |
| 458 | 3469 { |
| 3864 | 3470 MX_REDUCTION_OP (ComplexMatrix, *=, 1.0, 1.0); |
| 458 | 3471 } |
| 3472 | |
| 3473 ComplexMatrix | |
| 3723 | 3474 ComplexMatrix::sum (int dim) const |
| 458 | 3475 { |
| 3864 | 3476 MX_REDUCTION_OP (ComplexMatrix, +=, 0.0, 0.0); |
| 458 | 3477 } |
| 3478 | |
| 3479 ComplexMatrix | |
| 3723 | 3480 ComplexMatrix::sumsq (int dim) const |
| 458 | 3481 { |
| 3864 | 3482 #define ROW_EXPR \ |
| 3483 Complex d = elem (i, j); \ | |
| 3484 retval.elem (i, 0) += d * conj (d) | |
| 3485 | |
| 3486 #define COL_EXPR \ | |
| 3487 Complex d = elem (i, j); \ | |
| 3488 retval.elem (0, j) += d * conj (d) | |
| 3489 | |
| 3490 MX_BASE_REDUCTION_OP (ComplexMatrix, ROW_EXPR, COL_EXPR, 0.0, 0.0); | |
| 3491 | |
| 3492 #undef ROW_EXPR | |
| 3493 #undef COL_EXPR | |
| 458 | 3494 } |
| 3495 | |
| 4329 | 3496 Matrix ComplexMatrix::abs (void) const |
| 3497 { | |
| 5275 | 3498 octave_idx_type nr = rows (); |
| 3499 octave_idx_type nc = cols (); | |
| 4329 | 3500 |
| 3501 Matrix retval (nr, nc); | |
| 3502 | |
| 5275 | 3503 for (octave_idx_type j = 0; j < nc; j++) |
| 3504 for (octave_idx_type i = 0; i < nr; i++) | |
| 5315 | 3505 retval (i, j) = std::abs (elem (i, j)); |
| 4329 | 3506 |
| 3507 return retval; | |
| 3508 } | |
| 3509 | |
|
7620
36594d5bbe13
Move diag function into the octave_value class
David Bateman <dbateman@free.fr>
parents:
7544
diff
changeset
|
3510 ComplexMatrix |
| 5275 | 3511 ComplexMatrix::diag (octave_idx_type k) const |
| 458 | 3512 { |
|
7620
36594d5bbe13
Move diag function into the octave_value class
David Bateman <dbateman@free.fr>
parents:
7544
diff
changeset
|
3513 return MArray2<Complex>::diag (k); |
| 458 | 3514 } |
| 3515 | |
| 2354 | 3516 bool |
| 5275 | 3517 ComplexMatrix::row_is_real_only (octave_idx_type i) const |
| 2354 | 3518 { |
| 3519 bool retval = true; | |
| 3520 | |
| 5275 | 3521 octave_idx_type nc = columns (); |
| 3522 | |
| 3523 for (octave_idx_type j = 0; j < nc; j++) | |
| 2354 | 3524 { |
| 5315 | 3525 if (std::imag (elem (i, j)) != 0.0) |
| 2354 | 3526 { |
| 3527 retval = false; | |
| 3528 break; | |
| 3529 } | |
| 3530 } | |
| 3531 | |
| 3532 return retval; | |
| 3533 } | |
| 3534 | |
| 3535 bool | |
| 5275 | 3536 ComplexMatrix::column_is_real_only (octave_idx_type j) const |
| 2354 | 3537 { |
| 3538 bool retval = true; | |
| 3539 | |
| 5275 | 3540 octave_idx_type nr = rows (); |
| 3541 | |
| 3542 for (octave_idx_type i = 0; i < nr; i++) | |
| 2354 | 3543 { |
| 5315 | 3544 if (std::imag (elem (i, j)) != 0.0) |
| 2354 | 3545 { |
| 3546 retval = false; | |
| 3547 break; | |
| 3548 } | |
| 3549 } | |
| 3550 | |
| 3551 return retval; | |
| 3552 } | |
| 891 | 3553 |
| 458 | 3554 ComplexColumnVector |
| 3555 ComplexMatrix::row_min (void) const | |
| 3556 { | |
| 5275 | 3557 Array<octave_idx_type> dummy_idx; |
| 4587 | 3558 return row_min (dummy_idx); |
| 458 | 3559 } |
| 3560 | |
| 3561 ComplexColumnVector | |
| 5275 | 3562 ComplexMatrix::row_min (Array<octave_idx_type>& idx_arg) const |
| 458 | 3563 { |
| 3564 ComplexColumnVector result; | |
| 3565 | |
| 5275 | 3566 octave_idx_type nr = rows (); |
| 3567 octave_idx_type nc = cols (); | |
| 458 | 3568 |
| 3569 if (nr > 0 && nc > 0) | |
| 3570 { | |
| 3571 result.resize (nr); | |
| 4587 | 3572 idx_arg.resize (nr); |
| 458 | 3573 |
| 5275 | 3574 for (octave_idx_type i = 0; i < nr; i++) |
| 458 | 3575 { |
| 2354 | 3576 bool real_only = row_is_real_only (i); |
| 3577 | |
| 5275 | 3578 octave_idx_type idx_j; |
| 4469 | 3579 |
| 3580 Complex tmp_min; | |
| 3581 | |
| 3582 double abs_min = octave_NaN; | |
| 3583 | |
| 3584 for (idx_j = 0; idx_j < nc; idx_j++) | |
| 3585 { | |
| 3586 tmp_min = elem (i, idx_j); | |
| 3587 | |
| 5389 | 3588 if (! xisnan (tmp_min)) |
| 4469 | 3589 { |
| 5315 | 3590 abs_min = real_only ? std::real (tmp_min) : std::abs (tmp_min); |
| 4469 | 3591 break; |
| 3592 } | |
| 3593 } | |
| 3594 | |
| 5275 | 3595 for (octave_idx_type j = idx_j+1; j < nc; j++) |
| 4469 | 3596 { |
| 3597 Complex tmp = elem (i, j); | |
| 3598 | |
| 5389 | 3599 if (xisnan (tmp)) |
| 4469 | 3600 continue; |
| 3601 | |
| 5315 | 3602 double abs_tmp = real_only ? std::real (tmp) : std::abs (tmp); |
| 4469 | 3603 |
| 3604 if (abs_tmp < abs_min) | |
| 3605 { | |
| 3606 idx_j = j; | |
| 3607 tmp_min = tmp; | |
| 3608 abs_min = abs_tmp; | |
| 3609 } | |
| 3610 } | |
| 3611 | |
| 5389 | 3612 if (xisnan (tmp_min)) |
| 4469 | 3613 { |
| 3614 result.elem (i) = Complex_NaN_result; | |
| 4587 | 3615 idx_arg.elem (i) = 0; |
| 4469 | 3616 } |
| 891 | 3617 else |
| 3618 { | |
| 4469 | 3619 result.elem (i) = tmp_min; |
| 4587 | 3620 idx_arg.elem (i) = idx_j; |
| 891 | 3621 } |
| 458 | 3622 } |
| 3623 } | |
| 3624 | |
| 3625 return result; | |
| 3626 } | |
| 3627 | |
| 3628 ComplexColumnVector | |
| 3629 ComplexMatrix::row_max (void) const | |
| 3630 { | |
| 5275 | 3631 Array<octave_idx_type> dummy_idx; |
| 4587 | 3632 return row_max (dummy_idx); |
| 458 | 3633 } |
| 3634 | |
| 3635 ComplexColumnVector | |
| 5275 | 3636 ComplexMatrix::row_max (Array<octave_idx_type>& idx_arg) const |
| 458 | 3637 { |
| 3638 ComplexColumnVector result; | |
| 3639 | |
| 5275 | 3640 octave_idx_type nr = rows (); |
| 3641 octave_idx_type nc = cols (); | |
| 458 | 3642 |
| 3643 if (nr > 0 && nc > 0) | |
| 3644 { | |
| 3645 result.resize (nr); | |
| 4587 | 3646 idx_arg.resize (nr); |
| 458 | 3647 |
| 5275 | 3648 for (octave_idx_type i = 0; i < nr; i++) |
| 458 | 3649 { |
| 2354 | 3650 bool real_only = row_is_real_only (i); |
| 3651 | |
| 5275 | 3652 octave_idx_type idx_j; |
| 4469 | 3653 |
| 3654 Complex tmp_max; | |
| 3655 | |
| 3656 double abs_max = octave_NaN; | |
| 3657 | |
| 3658 for (idx_j = 0; idx_j < nc; idx_j++) | |
| 3659 { | |
| 3660 tmp_max = elem (i, idx_j); | |
| 3661 | |
| 5389 | 3662 if (! xisnan (tmp_max)) |
| 4469 | 3663 { |
| 5315 | 3664 abs_max = real_only ? std::real (tmp_max) : std::abs (tmp_max); |
| 4469 | 3665 break; |
| 3666 } | |
| 3667 } | |
| 3668 | |
| 5275 | 3669 for (octave_idx_type j = idx_j+1; j < nc; j++) |
| 4469 | 3670 { |
| 3671 Complex tmp = elem (i, j); | |
| 3672 | |
| 5389 | 3673 if (xisnan (tmp)) |
| 4469 | 3674 continue; |
| 3675 | |
| 5315 | 3676 double abs_tmp = real_only ? std::real (tmp) : std::abs (tmp); |
| 4469 | 3677 |
| 3678 if (abs_tmp > abs_max) | |
| 3679 { | |
| 3680 idx_j = j; | |
| 3681 tmp_max = tmp; | |
| 3682 abs_max = abs_tmp; | |
| 3683 } | |
| 3684 } | |
| 3685 | |
| 5389 | 3686 if (xisnan (tmp_max)) |
| 4469 | 3687 { |
| 3688 result.elem (i) = Complex_NaN_result; | |
| 4587 | 3689 idx_arg.elem (i) = 0; |
| 4469 | 3690 } |
| 891 | 3691 else |
| 3692 { | |
| 4469 | 3693 result.elem (i) = tmp_max; |
| 4587 | 3694 idx_arg.elem (i) = idx_j; |
| 891 | 3695 } |
| 458 | 3696 } |
| 3697 } | |
| 3698 | |
| 3699 return result; | |
| 3700 } | |
| 3701 | |
| 3702 ComplexRowVector | |
| 3703 ComplexMatrix::column_min (void) const | |
| 3704 { | |
| 5275 | 3705 Array<octave_idx_type> dummy_idx; |
| 4587 | 3706 return column_min (dummy_idx); |
| 458 | 3707 } |
| 3708 | |
| 3709 ComplexRowVector | |
| 5275 | 3710 ComplexMatrix::column_min (Array<octave_idx_type>& idx_arg) const |
| 458 | 3711 { |
| 3712 ComplexRowVector result; | |
| 3713 | |
| 5275 | 3714 octave_idx_type nr = rows (); |
| 3715 octave_idx_type nc = cols (); | |
| 458 | 3716 |
| 3717 if (nr > 0 && nc > 0) | |
| 3718 { | |
| 3719 result.resize (nc); | |
| 4587 | 3720 idx_arg.resize (nc); |
| 458 | 3721 |
| 5275 | 3722 for (octave_idx_type j = 0; j < nc; j++) |
| 458 | 3723 { |
| 2354 | 3724 bool real_only = column_is_real_only (j); |
| 3725 | |
| 5275 | 3726 octave_idx_type idx_i; |
| 4469 | 3727 |
| 3728 Complex tmp_min; | |
| 3729 | |
| 3730 double abs_min = octave_NaN; | |
| 3731 | |
| 3732 for (idx_i = 0; idx_i < nr; idx_i++) | |
| 3733 { | |
| 3734 tmp_min = elem (idx_i, j); | |
| 3735 | |
| 5389 | 3736 if (! xisnan (tmp_min)) |
| 4469 | 3737 { |
| 5315 | 3738 abs_min = real_only ? std::real (tmp_min) : std::abs (tmp_min); |
| 4469 | 3739 break; |
| 3740 } | |
| 3741 } | |
| 3742 | |
| 5275 | 3743 for (octave_idx_type i = idx_i+1; i < nr; i++) |
| 4469 | 3744 { |
| 3745 Complex tmp = elem (i, j); | |
| 3746 | |
| 5389 | 3747 if (xisnan (tmp)) |
| 4469 | 3748 continue; |
| 3749 | |
| 5315 | 3750 double abs_tmp = real_only ? std::real (tmp) : std::abs (tmp); |
| 4469 | 3751 |
| 3752 if (abs_tmp < abs_min) | |
| 3753 { | |
| 3754 idx_i = i; | |
| 3755 tmp_min = tmp; | |
| 3756 abs_min = abs_tmp; | |
| 3757 } | |
| 3758 } | |
| 3759 | |
| 5389 | 3760 if (xisnan (tmp_min)) |
| 4469 | 3761 { |
| 3762 result.elem (j) = Complex_NaN_result; | |
| 4587 | 3763 idx_arg.elem (j) = 0; |
| 4469 | 3764 } |
| 891 | 3765 else |
| 3766 { | |
| 4469 | 3767 result.elem (j) = tmp_min; |
| 4587 | 3768 idx_arg.elem (j) = idx_i; |
| 891 | 3769 } |
| 458 | 3770 } |
| 3771 } | |
| 3772 | |
| 3773 return result; | |
| 3774 } | |
| 3775 | |
| 3776 ComplexRowVector | |
| 3777 ComplexMatrix::column_max (void) const | |
| 3778 { | |
| 5275 | 3779 Array<octave_idx_type> dummy_idx; |
| 4587 | 3780 return column_max (dummy_idx); |
| 458 | 3781 } |
| 3782 | |
| 3783 ComplexRowVector | |
| 5275 | 3784 ComplexMatrix::column_max (Array<octave_idx_type>& idx_arg) const |
| 458 | 3785 { |
| 3786 ComplexRowVector result; | |
| 3787 | |
| 5275 | 3788 octave_idx_type nr = rows (); |
| 3789 octave_idx_type nc = cols (); | |
| 458 | 3790 |
| 3791 if (nr > 0 && nc > 0) | |
| 3792 { | |
| 3793 result.resize (nc); | |
| 4587 | 3794 idx_arg.resize (nc); |
| 458 | 3795 |
| 5275 | 3796 for (octave_idx_type j = 0; j < nc; j++) |
| 458 | 3797 { |
| 2354 | 3798 bool real_only = column_is_real_only (j); |
| 3799 | |
| 5275 | 3800 octave_idx_type idx_i; |
| 4469 | 3801 |
| 3802 Complex tmp_max; | |
| 3803 | |
| 3804 double abs_max = octave_NaN; | |
| 3805 | |
| 3806 for (idx_i = 0; idx_i < nr; idx_i++) | |
| 3807 { | |
| 3808 tmp_max = elem (idx_i, j); | |
| 3809 | |
| 5389 | 3810 if (! xisnan (tmp_max)) |
| 4469 | 3811 { |
| 5315 | 3812 abs_max = real_only ? std::real (tmp_max) : std::abs (tmp_max); |
| 4469 | 3813 break; |
| 3814 } | |
| 3815 } | |
| 3816 | |
| 5275 | 3817 for (octave_idx_type i = idx_i+1; i < nr; i++) |
| 4469 | 3818 { |
| 3819 Complex tmp = elem (i, j); | |
| 3820 | |
| 5389 | 3821 if (xisnan (tmp)) |
| 4469 | 3822 continue; |
| 3823 | |
| 5315 | 3824 double abs_tmp = real_only ? std::real (tmp) : std::abs (tmp); |
| 4469 | 3825 |
| 3826 if (abs_tmp > abs_max) | |
| 3827 { | |
| 3828 idx_i = i; | |
| 3829 tmp_max = tmp; | |
| 3830 abs_max = abs_tmp; | |
| 3831 } | |
| 3832 } | |
| 3833 | |
| 5389 | 3834 if (xisnan (tmp_max)) |
| 4469 | 3835 { |
| 3836 result.elem (j) = Complex_NaN_result; | |
| 4587 | 3837 idx_arg.elem (j) = 0; |
| 4469 | 3838 } |
| 891 | 3839 else |
| 3840 { | |
| 4469 | 3841 result.elem (j) = tmp_max; |
| 4587 | 3842 idx_arg.elem (j) = idx_i; |
| 891 | 3843 } |
| 458 | 3844 } |
| 3845 } | |
| 3846 | |
| 3847 return result; | |
| 3848 } | |
| 3849 | |
| 3850 // i/o | |
| 3851 | |
| 3504 | 3852 std::ostream& |
| 3853 operator << (std::ostream& os, const ComplexMatrix& a) | |
| 458 | 3854 { |
| 5275 | 3855 for (octave_idx_type i = 0; i < a.rows (); i++) |
| 458 | 3856 { |
| 5275 | 3857 for (octave_idx_type j = 0; j < a.cols (); j++) |
| 4130 | 3858 { |
| 3859 os << " "; | |
| 3860 octave_write_complex (os, a.elem (i, j)); | |
| 3861 } | |
| 458 | 3862 os << "\n"; |
| 3863 } | |
| 3864 return os; | |
| 3865 } | |
| 3866 | |
| 3504 | 3867 std::istream& |
| 3868 operator >> (std::istream& is, ComplexMatrix& a) | |
| 458 | 3869 { |
| 5275 | 3870 octave_idx_type nr = a.rows (); |
| 3871 octave_idx_type nc = a.cols (); | |
| 458 | 3872 |
| 3873 if (nr < 1 || nc < 1) | |
| 3504 | 3874 is.clear (std::ios::badbit); |
| 458 | 3875 else |
| 3876 { | |
| 3877 Complex tmp; | |
| 5275 | 3878 for (octave_idx_type i = 0; i < nr; i++) |
| 3879 for (octave_idx_type j = 0; j < nc; j++) | |
| 458 | 3880 { |
| 4130 | 3881 tmp = octave_read_complex (is); |
| 458 | 3882 if (is) |
| 3883 a.elem (i, j) = tmp; | |
| 3884 else | |
| 2993 | 3885 goto done; |
| 458 | 3886 } |
| 3887 } | |
| 3888 | |
| 2993 | 3889 done: |
| 3890 | |
| 458 | 3891 return is; |
| 3892 } | |
| 3893 | |
| 1819 | 3894 ComplexMatrix |
| 3895 Givens (const Complex& x, const Complex& y) | |
| 3896 { | |
| 3897 double cc; | |
| 3898 Complex cs, temp_r; | |
| 3899 | |
| 3887 | 3900 F77_FUNC (zlartg, ZLARTG) (x, y, cc, cs, temp_r); |
| 1819 | 3901 |
| 3902 ComplexMatrix g (2, 2); | |
| 3903 | |
| 3904 g.elem (0, 0) = cc; | |
| 3905 g.elem (1, 1) = cc; | |
| 3906 g.elem (0, 1) = cs; | |
| 3907 g.elem (1, 0) = -conj (cs); | |
| 3908 | |
| 3909 return g; | |
| 3910 } | |
| 3911 | |
| 3912 ComplexMatrix | |
| 3913 Sylvester (const ComplexMatrix& a, const ComplexMatrix& b, | |
| 3914 const ComplexMatrix& c) | |
| 3915 { | |
| 3916 ComplexMatrix retval; | |
| 3917 | |
| 5775 | 3918 // FIXME -- need to check that a, b, and c are all the same |
| 1819 | 3919 // size. |
| 3920 | |
| 3921 // Compute Schur decompositions | |
| 3922 | |
| 3923 ComplexSCHUR as (a, "U"); | |
| 3924 ComplexSCHUR bs (b, "U"); | |
| 3925 | |
| 3926 // Transform c to new coordinates. | |
| 3927 | |
| 3928 ComplexMatrix ua = as.unitary_matrix (); | |
| 3929 ComplexMatrix sch_a = as.schur_matrix (); | |
| 3930 | |
| 3931 ComplexMatrix ub = bs.unitary_matrix (); | |
| 3932 ComplexMatrix sch_b = bs.schur_matrix (); | |
| 3933 | |
| 3934 ComplexMatrix cx = ua.hermitian () * c * ub; | |
| 3935 | |
| 3936 // Solve the sylvester equation, back-transform, and return the | |
| 3937 // solution. | |
| 3938 | |
| 5275 | 3939 octave_idx_type a_nr = a.rows (); |
| 3940 octave_idx_type b_nr = b.rows (); | |
| 1819 | 3941 |
| 3942 double scale; | |
| 5275 | 3943 octave_idx_type info; |
| 1950 | 3944 |
| 3945 Complex *pa = sch_a.fortran_vec (); | |
| 3946 Complex *pb = sch_b.fortran_vec (); | |
| 3947 Complex *px = cx.fortran_vec (); | |
| 1819 | 3948 |
| 4552 | 3949 F77_XFCN (ztrsyl, ZTRSYL, (F77_CONST_CHAR_ARG2 ("N", 1), |
| 3950 F77_CONST_CHAR_ARG2 ("N", 1), | |
| 3951 1, a_nr, b_nr, pa, a_nr, pb, | |
| 3952 b_nr, px, a_nr, scale, info | |
| 3953 F77_CHAR_ARG_LEN (1) | |
| 3954 F77_CHAR_ARG_LEN (1))); | |
| 1950 | 3955 |
|
7482
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
3956 // FIXME -- check info? |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
3957 |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
3958 retval = -ua * cx * ub.hermitian (); |
| 1819 | 3959 |
| 3960 return retval; | |
| 3961 } | |
| 3962 | |
| 2828 | 3963 ComplexMatrix |
| 3964 operator * (const ComplexMatrix& m, const Matrix& a) | |
| 3965 { | |
| 3966 ComplexMatrix tmp (a); | |
| 3967 return m * tmp; | |
| 3968 } | |
| 3969 | |
| 3970 ComplexMatrix | |
| 3971 operator * (const Matrix& m, const ComplexMatrix& a) | |
| 3972 { | |
| 3973 ComplexMatrix tmp (m); | |
| 3974 return tmp * a; | |
| 3975 } | |
| 3976 | |
| 6162 | 3977 /* Simple Dot Product, Matrix-Vector and Matrix-Matrix Unit tests |
| 3978 %!assert([1+i 2+i 3+i] * [ 4+i ; 5+i ; 6+i], 29+21i, 1e-14) | |
| 3979 %!assert([1+i 2+i ; 3+i 4+i ] * [5+i ; 6+i], [15 + 14i ; 37 + 18i], 1e-14) | |
| 3980 %!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) | |
| 3981 */ | |
| 3982 | |
| 3983 /* Test some simple identities | |
| 3984 %!shared M, cv, rv | |
| 3985 %! M = randn(10,10)+i*rand(10,10); | |
| 3986 %! cv = randn(10,1)+i*rand(10,1); | |
| 3987 %! rv = randn(1,10)+i*rand(1,10); | |
| 3988 %!assert([M*cv,M*cv],M*[cv,cv],1e-14) | |
| 3989 %!assert([rv*M;rv*M],[rv;rv]*M,1e-14) | |
| 3990 %!assert(2*rv*cv,[rv,rv]*[cv;cv],1e-14) | |
| 3991 */ | |
| 3992 | |
|
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
|
3993 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
|
3994 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
|
3995 { |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3996 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
|
3997 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
|
3998 } |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3999 |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
4000 // 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
|
4001 |
| 2828 | 4002 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
|
4003 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
|
4004 bool transb, bool conjb, const ComplexMatrix& b) |
| 2828 | 4005 { |
| 4006 ComplexMatrix retval; | |
| 4007 | |
|
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
|
4008 // 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
|
4009 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
|
4010 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
|
4011 |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
4012 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
|
4013 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
|
4014 |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
4015 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
|
4016 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
|
4017 |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
4018 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
|
4019 gripe_nonconformant ("operator *", a_nr, a_nc, b_nr, b_nc); |
| 2828 | 4020 else |
| 4021 { | |
|
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
|
4022 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
|
4023 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
|
4024 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
|
4025 { |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
4026 octave_idx_type lda = a.rows (); |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
4027 |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
4028 retval.resize (a_nr, b_nc); |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
4029 Complex *c = retval.fortran_vec (); |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
4030 |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
4031 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
|
4032 if (conja || conjb) |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
4033 { |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
4034 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
|
4035 F77_CONST_CHAR_ARG2 (ctransa, 1), |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
4036 a_nr, a_nc, 1.0, |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
4037 a.data (), lda, 0.0, c, a_nr |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
4038 F77_CHAR_ARG_LEN (1) |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
4039 F77_CHAR_ARG_LEN (1))); |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
4040 for (int j = 0; j < a_nr; j++) |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
4041 for (int i = 0; i < j; i++) |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
4042 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
|
4043 } |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
4044 else |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
4045 { |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
4046 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
|
4047 F77_CONST_CHAR_ARG2 (ctransa, 1), |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
4048 a_nr, a_nc, 1.0, |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
4049 a.data (), lda, 0.0, c, a_nr |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
4050 F77_CHAR_ARG_LEN (1) |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
4051 F77_CHAR_ARG_LEN (1))); |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
4052 for (int j = 0; j < a_nr; j++) |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
4053 for (int i = 0; i < j; i++) |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
4054 retval.xelem (j,i) = retval.xelem (i,j); |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
4055 |
|
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 |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
4058 } |
| 2828 | 4059 else |
| 4060 { | |
|
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
|
4061 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
|
4062 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
|
4063 |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
4064 retval.resize (a_nr, b_nc); |
| 2828 | 4065 Complex *c = retval.fortran_vec (); |
| 4066 | |
|
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
|
4067 if (b_nc == 1 && a_nr == 1) |
| 5983 | 4068 { |
|
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
|
4069 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
|
4070 { |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
4071 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
|
4072 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
|
4073 } |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
4074 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
|
4075 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
|
4076 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
|
4077 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
|
4078 } |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
4079 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
|
4080 { |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
4081 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
|
4082 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
|
4083 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
|
4084 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
|
4085 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
|
4086 } |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
4087 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
|
4088 { |
|
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 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
|
4090 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
|
4091 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
|
4092 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
|
4093 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
|
4094 } |
| 5983 | 4095 else |
| 6390 | 4096 { |
|
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
|
4097 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
|
4098 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
|
4099 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
|
4100 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
|
4101 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
|
4102 lda, b.data (), ldb, 0.0, c, a_nr |
| 6390 | 4103 F77_CHAR_ARG_LEN (1) |
| 4104 F77_CHAR_ARG_LEN (1))); | |
| 4105 } | |
| 2828 | 4106 } |
| 4107 } | |
| 4108 | |
| 4109 return retval; | |
| 4110 } | |
| 4111 | |
|
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
|
4112 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
|
4113 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
|
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 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
|
4116 } |
|
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 |
| 5775 | 4118 // FIXME -- it would be nice to share code among the min/max |
| 4309 | 4119 // functions below. |
| 4120 | |
| 4121 #define EMPTY_RETURN_CHECK(T) \ | |
| 4122 if (nr == 0 || nc == 0) \ | |
| 4123 return T (nr, nc); | |
| 4124 | |
| 4125 ComplexMatrix | |
| 4126 min (const Complex& c, const ComplexMatrix& m) | |
| 4127 { | |
| 5275 | 4128 octave_idx_type nr = m.rows (); |
| 4129 octave_idx_type nc = m.columns (); | |
| 4309 | 4130 |
| 4131 EMPTY_RETURN_CHECK (ComplexMatrix); | |
| 4132 | |
| 4133 ComplexMatrix result (nr, nc); | |
| 4134 | |
| 5275 | 4135 for (octave_idx_type j = 0; j < nc; j++) |
| 4136 for (octave_idx_type i = 0; i < nr; i++) | |
| 4309 | 4137 { |
| 4138 OCTAVE_QUIT; | |
| 4139 result (i, j) = xmin (c, m (i, j)); | |
| 4140 } | |
| 4141 | |
| 4142 return result; | |
| 4143 } | |
| 4144 | |
| 4145 ComplexMatrix | |
| 4146 min (const ComplexMatrix& m, const Complex& c) | |
| 4147 { | |
| 5275 | 4148 octave_idx_type nr = m.rows (); |
| 4149 octave_idx_type nc = m.columns (); | |
| 4309 | 4150 |
| 4151 EMPTY_RETURN_CHECK (ComplexMatrix); | |
| 4152 | |
| 4153 ComplexMatrix result (nr, nc); | |
| 4154 | |
| 5275 | 4155 for (octave_idx_type j = 0; j < nc; j++) |
| 4156 for (octave_idx_type i = 0; i < nr; i++) | |
| 4309 | 4157 { |
| 4158 OCTAVE_QUIT; | |
| 4159 result (i, j) = xmin (m (i, j), c); | |
| 4160 } | |
| 4161 | |
| 4162 return result; | |
| 4163 } | |
| 4164 | |
| 4165 ComplexMatrix | |
| 4166 min (const ComplexMatrix& a, const ComplexMatrix& b) | |
| 4167 { | |
| 5275 | 4168 octave_idx_type nr = a.rows (); |
| 4169 octave_idx_type nc = a.columns (); | |
| 4309 | 4170 |
| 4171 if (nr != b.rows () || nc != b.columns ()) | |
| 4172 { | |
| 4173 (*current_liboctave_error_handler) | |
| 4174 ("two-arg min expecting args of same size"); | |
| 4175 return ComplexMatrix (); | |
| 4176 } | |
| 4177 | |
| 4178 EMPTY_RETURN_CHECK (ComplexMatrix); | |
| 4179 | |
| 4180 ComplexMatrix result (nr, nc); | |
| 4181 | |
| 5275 | 4182 for (octave_idx_type j = 0; j < nc; j++) |
| 4309 | 4183 { |
| 4184 int columns_are_real_only = 1; | |
| 5275 | 4185 for (octave_idx_type i = 0; i < nr; i++) |
| 4309 | 4186 { |
| 4187 OCTAVE_QUIT; | |
| 5315 | 4188 if (std::imag (a (i, j)) != 0.0 || std::imag (b (i, j)) != 0.0) |
| 4309 | 4189 { |
| 4190 columns_are_real_only = 0; | |
| 4191 break; | |
| 4192 } | |
| 4193 } | |
| 4194 | |
| 4195 if (columns_are_real_only) | |
| 4196 { | |
| 5275 | 4197 for (octave_idx_type i = 0; i < nr; i++) |
| 5315 | 4198 result (i, j) = xmin (std::real (a (i, j)), std::real (b (i, j))); |
| 4309 | 4199 } |
| 4200 else | |
| 4201 { | |
| 5275 | 4202 for (octave_idx_type i = 0; i < nr; i++) |
| 4309 | 4203 { |
| 4204 OCTAVE_QUIT; | |
| 4205 result (i, j) = xmin (a (i, j), b (i, j)); | |
| 4206 } | |
| 4207 } | |
| 4208 } | |
| 4209 | |
| 4210 return result; | |
| 4211 } | |
| 4212 | |
| 4213 ComplexMatrix | |
| 4214 max (const Complex& c, const ComplexMatrix& m) | |
| 4215 { | |
| 5275 | 4216 octave_idx_type nr = m.rows (); |
| 4217 octave_idx_type nc = m.columns (); | |
| 4309 | 4218 |
| 4219 EMPTY_RETURN_CHECK (ComplexMatrix); | |
| 4220 | |
| 4221 ComplexMatrix result (nr, nc); | |
| 4222 | |
| 5275 | 4223 for (octave_idx_type j = 0; j < nc; j++) |
| 4224 for (octave_idx_type i = 0; i < nr; i++) | |
| 4309 | 4225 { |
| 4226 OCTAVE_QUIT; | |
| 4227 result (i, j) = xmax (c, m (i, j)); | |
| 4228 } | |
| 4229 | |
| 4230 return result; | |
| 4231 } | |
| 4232 | |
| 4233 ComplexMatrix | |
| 4234 max (const ComplexMatrix& m, const Complex& c) | |
| 4235 { | |
| 5275 | 4236 octave_idx_type nr = m.rows (); |
| 4237 octave_idx_type nc = m.columns (); | |
| 4309 | 4238 |
| 4239 EMPTY_RETURN_CHECK (ComplexMatrix); | |
| 4240 | |
| 4241 ComplexMatrix result (nr, nc); | |
| 4242 | |
| 5275 | 4243 for (octave_idx_type j = 0; j < nc; j++) |
| 4244 for (octave_idx_type i = 0; i < nr; i++) | |
| 4309 | 4245 { |
| 4246 OCTAVE_QUIT; | |
| 4247 result (i, j) = xmax (m (i, j), c); | |
| 4248 } | |
| 4249 | |
| 4250 return result; | |
| 4251 } | |
| 4252 | |
| 4253 ComplexMatrix | |
| 4254 max (const ComplexMatrix& a, const ComplexMatrix& b) | |
| 4255 { | |
| 5275 | 4256 octave_idx_type nr = a.rows (); |
| 4257 octave_idx_type nc = a.columns (); | |
| 4309 | 4258 |
| 4259 if (nr != b.rows () || nc != b.columns ()) | |
| 4260 { | |
| 4261 (*current_liboctave_error_handler) | |
| 4262 ("two-arg max expecting args of same size"); | |
| 4263 return ComplexMatrix (); | |
| 4264 } | |
| 4265 | |
| 4266 EMPTY_RETURN_CHECK (ComplexMatrix); | |
| 4267 | |
| 4268 ComplexMatrix result (nr, nc); | |
| 4269 | |
| 5275 | 4270 for (octave_idx_type j = 0; j < nc; j++) |
| 4309 | 4271 { |
| 4272 int columns_are_real_only = 1; | |
| 5275 | 4273 for (octave_idx_type i = 0; i < nr; i++) |
| 4309 | 4274 { |
| 4275 OCTAVE_QUIT; | |
| 5315 | 4276 if (std::imag (a (i, j)) != 0.0 || std::imag (b (i, j)) != 0.0) |
| 4309 | 4277 { |
| 4278 columns_are_real_only = 0; | |
| 4279 break; | |
| 4280 } | |
| 4281 } | |
| 4282 | |
| 4283 if (columns_are_real_only) | |
| 4284 { | |
| 5275 | 4285 for (octave_idx_type i = 0; i < nr; i++) |
| 4309 | 4286 { |
| 4287 OCTAVE_QUIT; | |
| 5315 | 4288 result (i, j) = xmax (std::real (a (i, j)), std::real (b (i, j))); |
| 4309 | 4289 } |
| 4290 } | |
| 4291 else | |
| 4292 { | |
| 5275 | 4293 for (octave_idx_type i = 0; i < nr; i++) |
| 4309 | 4294 { |
| 4295 OCTAVE_QUIT; | |
| 4296 result (i, j) = xmax (a (i, j), b (i, j)); | |
| 4297 } | |
| 4298 } | |
| 4299 } | |
| 4300 | |
| 4301 return result; | |
| 4302 } | |
| 4303 | |
| 5315 | 4304 MS_CMP_OPS(ComplexMatrix, std::real, Complex, std::real) |
| 3504 | 4305 MS_BOOL_OPS(ComplexMatrix, Complex, 0.0) |
| 2870 | 4306 |
| 5315 | 4307 SM_CMP_OPS(Complex, std::real, ComplexMatrix, std::real) |
| 3504 | 4308 SM_BOOL_OPS(Complex, ComplexMatrix, 0.0) |
| 2870 | 4309 |
| 5315 | 4310 MM_CMP_OPS(ComplexMatrix, std::real, ComplexMatrix, std::real) |
| 3504 | 4311 MM_BOOL_OPS(ComplexMatrix, ComplexMatrix, 0.0) |
| 2870 | 4312 |
| 458 | 4313 /* |
| 4314 ;;; Local Variables: *** | |
| 4315 ;;; mode: C++ *** | |
| 4316 ;;; End: *** | |
| 4317 */ |