Mercurial > octave-nkf
annotate liboctave/CMatrix.cc @ 8710:739141cde75a ss-3-1-52
fix typo in Array-f.cc
| author | Jaroslav Hajek <highegg@gmail.com> |
|---|---|
| date | Mon, 09 Feb 2009 21:51:31 +0100 |
| parents | a1ae2aae903e |
| children | 53b4fdeacc2e |
| rev | line source |
|---|---|
| 1993 | 1 // Matrix manipulations. |
| 458 | 2 /* |
| 3 | |
| 7017 | 4 Copyright (C) 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002, |
| 5 2003, 2004, 2005, 2006, 2007 John W. Eaton | |
| 7803 | 6 Copyright (C) 2008 Jaroslav Hajek |
| 458 | 7 |
| 8 This file is part of Octave. | |
| 9 | |
| 10 Octave is free software; you can redistribute it and/or modify it | |
| 11 under the terms of the GNU General Public License as published by the | |
| 7016 | 12 Free Software Foundation; either version 3 of the License, or (at your |
| 13 option) any later version. | |
| 458 | 14 |
| 15 Octave is distributed in the hope that it will be useful, but WITHOUT | |
| 16 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or | |
| 17 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License | |
| 18 for more details. | |
| 19 | |
| 20 You should have received a copy of the GNU General Public License | |
| 7016 | 21 along with Octave; see the file COPYING. If not, see |
| 22 <http://www.gnu.org/licenses/>. | |
| 458 | 23 |
| 24 */ | |
| 25 | |
| 26 #ifdef HAVE_CONFIG_H | |
| 1192 | 27 #include <config.h> |
| 458 | 28 #endif |
| 29 | |
| 1367 | 30 #include <cfloat> |
| 31 | |
| 3503 | 32 #include <iostream> |
| 6209 | 33 #include <vector> |
| 1367 | 34 |
| 5775 | 35 // FIXME |
| 2443 | 36 #ifdef HAVE_SYS_TYPES_H |
| 37 #include <sys/types.h> | |
| 38 #endif | |
| 458 | 39 |
| 4669 | 40 #include "Array-util.h" |
| 2828 | 41 #include "CMatrix.h" |
| 1819 | 42 #include "CmplxAEPBAL.h" |
| 8335 | 43 #include "DET.h" |
| 1819 | 44 #include "CmplxSCHUR.h" |
| 740 | 45 #include "CmplxSVD.h" |
| 6207 | 46 #include "CmplxCHOL.h" |
| 1847 | 47 #include "f77-fcn.h" |
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48 #include "functor.h" |
| 458 | 49 #include "lo-error.h" |
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50 #include "oct-locbuf.h" |
| 2354 | 51 #include "lo-ieee.h" |
| 52 #include "lo-mappers.h" | |
| 1968 | 53 #include "lo-utils.h" |
| 1367 | 54 #include "mx-base.h" |
| 2828 | 55 #include "mx-cm-dm.h" |
| 3176 | 56 #include "mx-dm-cm.h" |
| 2828 | 57 #include "mx-cm-s.h" |
| 1367 | 58 #include "mx-inlines.cc" |
| 1650 | 59 #include "oct-cmplx.h" |
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60 #include "oct-norm.h" |
| 458 | 61 |
| 4773 | 62 #if defined (HAVE_FFTW3) |
| 3827 | 63 #include "oct-fftw.h" |
| 64 #endif | |
| 65 | |
| 458 | 66 // Fortran functions we call. |
| 67 | |
| 68 extern "C" | |
| 69 { | |
| 7477 | 70 F77_RET_T |
| 71 F77_FUNC (xilaenv, XILAENV) (const octave_idx_type&, F77_CONST_CHAR_ARG_DECL, | |
| 72 F77_CONST_CHAR_ARG_DECL, | |
| 73 const octave_idx_type&, const octave_idx_type&, | |
| 7478 | 74 const octave_idx_type&, const octave_idx_type&, |
| 75 octave_idx_type& | |
| 76 F77_CHAR_ARG_LEN_DECL F77_CHAR_ARG_LEN_DECL); | |
| 7476 | 77 |
| 4552 | 78 F77_RET_T |
| 79 F77_FUNC (zgebal, ZGEBAL) (F77_CONST_CHAR_ARG_DECL, | |
| 5275 | 80 const octave_idx_type&, Complex*, const octave_idx_type&, octave_idx_type&, |
| 81 octave_idx_type&, double*, octave_idx_type& | |
| 4552 | 82 F77_CHAR_ARG_LEN_DECL); |
| 83 | |
| 84 F77_RET_T | |
| 85 F77_FUNC (dgebak, DGEBAK) (F77_CONST_CHAR_ARG_DECL, | |
| 86 F77_CONST_CHAR_ARG_DECL, | |
| 5275 | 87 const octave_idx_type&, const octave_idx_type&, const octave_idx_type&, double*, |
| 88 const octave_idx_type&, double*, const octave_idx_type&, octave_idx_type& | |
| 4552 | 89 F77_CHAR_ARG_LEN_DECL |
| 90 F77_CHAR_ARG_LEN_DECL); | |
| 91 | |
| 92 F77_RET_T | |
| 93 F77_FUNC (zgemm, ZGEMM) (F77_CONST_CHAR_ARG_DECL, | |
| 94 F77_CONST_CHAR_ARG_DECL, | |
| 5275 | 95 const octave_idx_type&, const octave_idx_type&, const octave_idx_type&, |
| 96 const Complex&, const Complex*, const octave_idx_type&, | |
| 97 const Complex*, const octave_idx_type&, const Complex&, | |
| 98 Complex*, const octave_idx_type& | |
| 4552 | 99 F77_CHAR_ARG_LEN_DECL |
| 100 F77_CHAR_ARG_LEN_DECL); | |
| 101 | |
| 102 F77_RET_T | |
| 5983 | 103 F77_FUNC (zgemv, ZGEMV) (F77_CONST_CHAR_ARG_DECL, |
| 104 const octave_idx_type&, const octave_idx_type&, const Complex&, | |
| 105 const Complex*, const octave_idx_type&, const Complex*, | |
| 106 const octave_idx_type&, const Complex&, Complex*, const octave_idx_type& | |
| 107 F77_CHAR_ARG_LEN_DECL); | |
| 108 | |
| 109 F77_RET_T | |
| 110 F77_FUNC (xzdotu, XZDOTU) (const octave_idx_type&, const Complex*, const octave_idx_type&, | |
| 111 const Complex*, const octave_idx_type&, Complex&); | |
| 112 | |
| 113 F77_RET_T | |
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114 F77_FUNC (xzdotc, XZDOTC) (const octave_idx_type&, const Complex*, const octave_idx_type&, |
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115 const Complex*, const octave_idx_type&, Complex&); |
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116 |
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117 F77_RET_T |
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118 F77_FUNC (zsyrk, ZSYRK) (F77_CONST_CHAR_ARG_DECL, |
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119 F77_CONST_CHAR_ARG_DECL, |
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120 const octave_idx_type&, const octave_idx_type&, |
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121 const Complex&, const Complex*, const octave_idx_type&, |
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122 const Complex&, Complex*, const octave_idx_type& |
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123 F77_CHAR_ARG_LEN_DECL |
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124 F77_CHAR_ARG_LEN_DECL); |
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125 |
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126 F77_RET_T |
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127 F77_FUNC (zherk, ZHERK) (F77_CONST_CHAR_ARG_DECL, |
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128 F77_CONST_CHAR_ARG_DECL, |
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129 const octave_idx_type&, const octave_idx_type&, |
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130 const Complex&, const Complex*, const octave_idx_type&, |
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131 const Complex&, Complex*, const octave_idx_type& |
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132 F77_CHAR_ARG_LEN_DECL |
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133 F77_CHAR_ARG_LEN_DECL); |
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134 |
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135 F77_RET_T |
| 5275 | 136 F77_FUNC (zgetrf, ZGETRF) (const octave_idx_type&, const octave_idx_type&, Complex*, const octave_idx_type&, |
| 137 octave_idx_type*, octave_idx_type&); | |
| 4552 | 138 |
| 139 F77_RET_T | |
| 140 F77_FUNC (zgetrs, ZGETRS) (F77_CONST_CHAR_ARG_DECL, | |
| 5275 | 141 const octave_idx_type&, const octave_idx_type&, Complex*, const octave_idx_type&, |
| 142 const octave_idx_type*, Complex*, const octave_idx_type&, octave_idx_type& | |
| 4552 | 143 F77_CHAR_ARG_LEN_DECL); |
| 144 | |
| 145 F77_RET_T | |
| 5275 | 146 F77_FUNC (zgetri, ZGETRI) (const octave_idx_type&, Complex*, const octave_idx_type&, const octave_idx_type*, |
| 147 Complex*, const octave_idx_type&, octave_idx_type&); | |
| 4552 | 148 |
| 149 F77_RET_T | |
| 150 F77_FUNC (zgecon, ZGECON) (F77_CONST_CHAR_ARG_DECL, | |
| 5275 | 151 const octave_idx_type&, Complex*, |
| 152 const octave_idx_type&, const double&, double&, | |
| 153 Complex*, double*, octave_idx_type& | |
| 4552 | 154 F77_CHAR_ARG_LEN_DECL); |
| 155 | |
| 156 F77_RET_T | |
| 7072 | 157 F77_FUNC (zgelsy, ZGELSY) (const octave_idx_type&, const octave_idx_type&, const octave_idx_type&, |
| 158 Complex*, const octave_idx_type&, Complex*, | |
| 159 const octave_idx_type&, octave_idx_type*, double&, octave_idx_type&, | |
| 160 Complex*, const octave_idx_type&, double*, octave_idx_type&); | |
| 161 | |
| 162 F77_RET_T | |
| 163 F77_FUNC (zgelsd, ZGELSD) (const octave_idx_type&, const octave_idx_type&, const octave_idx_type&, | |
| 5275 | 164 Complex*, const octave_idx_type&, Complex*, |
| 7071 | 165 const octave_idx_type&, double*, double&, octave_idx_type&, |
| 7072 | 166 Complex*, const octave_idx_type&, double*, |
| 167 octave_idx_type*, octave_idx_type&); | |
| 458 | 168 |
| 5785 | 169 F77_RET_T |
| 170 F77_FUNC (zpotrf, ZPOTRF) (F77_CONST_CHAR_ARG_DECL, const octave_idx_type&, | |
| 171 Complex*, const octave_idx_type&, | |
| 172 octave_idx_type& F77_CHAR_ARG_LEN_DECL); | |
| 173 | |
| 174 F77_RET_T | |
| 175 F77_FUNC (zpocon, ZPOCON) (F77_CONST_CHAR_ARG_DECL, const octave_idx_type&, | |
| 176 Complex*, const octave_idx_type&, const double&, | |
| 177 double&, Complex*, double*, | |
| 178 octave_idx_type& F77_CHAR_ARG_LEN_DECL); | |
| 179 | |
| 180 F77_RET_T | |
| 181 F77_FUNC (zpotrs, ZPOTRS) (F77_CONST_CHAR_ARG_DECL, const octave_idx_type&, | |
| 182 const octave_idx_type&, const Complex*, | |
| 183 const octave_idx_type&, Complex*, | |
| 184 const octave_idx_type&, octave_idx_type& | |
| 185 F77_CHAR_ARG_LEN_DECL); | |
| 186 | |
| 187 F77_RET_T | |
| 6207 | 188 F77_FUNC (ztrtri, ZTRTRI) (F77_CONST_CHAR_ARG_DECL, F77_CONST_CHAR_ARG_DECL, |
| 189 const octave_idx_type&, const Complex*, | |
| 190 const octave_idx_type&, octave_idx_type& | |
| 191 F77_CHAR_ARG_LEN_DECL | |
| 192 F77_CHAR_ARG_LEN_DECL); | |
| 193 | |
| 194 F77_RET_T | |
| 5785 | 195 F77_FUNC (ztrcon, ZTRCON) (F77_CONST_CHAR_ARG_DECL, F77_CONST_CHAR_ARG_DECL, |
| 196 F77_CONST_CHAR_ARG_DECL, const octave_idx_type&, | |
| 197 const Complex*, const octave_idx_type&, double&, | |
| 198 Complex*, double*, octave_idx_type& | |
| 199 F77_CHAR_ARG_LEN_DECL | |
| 200 F77_CHAR_ARG_LEN_DECL | |
| 201 F77_CHAR_ARG_LEN_DECL); | |
| 202 | |
| 203 F77_RET_T | |
| 204 F77_FUNC (ztrtrs, ZTRTRS) (F77_CONST_CHAR_ARG_DECL, F77_CONST_CHAR_ARG_DECL, | |
| 205 F77_CONST_CHAR_ARG_DECL, const octave_idx_type&, | |
| 206 const octave_idx_type&, const Complex*, | |
| 207 const octave_idx_type&, Complex*, | |
| 208 const octave_idx_type&, octave_idx_type& | |
| 209 F77_CHAR_ARG_LEN_DECL | |
| 210 F77_CHAR_ARG_LEN_DECL | |
| 211 F77_CHAR_ARG_LEN_DECL); | |
| 212 | |
| 1360 | 213 // Note that the original complex fft routines were not written for |
| 214 // double complex arguments. They have been modified by adding an | |
| 215 // implicit double precision (a-h,o-z) statement at the beginning of | |
| 216 // each subroutine. | |
| 458 | 217 |
| 4552 | 218 F77_RET_T |
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219 F77_FUNC (zffti, ZFFTI) (const octave_idx_type&, Complex*); |
| 4552 | 220 |
| 221 F77_RET_T | |
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222 F77_FUNC (zfftf, ZFFTF) (const octave_idx_type&, Complex*, Complex*); |
| 4552 | 223 |
| 224 F77_RET_T | |
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225 F77_FUNC (zfftb, ZFFTB) (const octave_idx_type&, Complex*, Complex*); |
| 4552 | 226 |
| 227 F77_RET_T | |
| 228 F77_FUNC (zlartg, ZLARTG) (const Complex&, const Complex&, | |
| 229 double&, Complex&, Complex&); | |
| 230 | |
| 231 F77_RET_T | |
| 232 F77_FUNC (ztrsyl, ZTRSYL) (F77_CONST_CHAR_ARG_DECL, | |
| 233 F77_CONST_CHAR_ARG_DECL, | |
| 5275 | 234 const octave_idx_type&, const octave_idx_type&, const octave_idx_type&, |
| 235 const Complex*, const octave_idx_type&, | |
| 236 const Complex*, const octave_idx_type&, | |
| 237 const Complex*, const octave_idx_type&, double&, octave_idx_type& | |
| 4552 | 238 F77_CHAR_ARG_LEN_DECL |
| 239 F77_CHAR_ARG_LEN_DECL); | |
| 240 | |
| 241 F77_RET_T | |
| 242 F77_FUNC (xzlange, XZLANGE) (F77_CONST_CHAR_ARG_DECL, | |
| 5275 | 243 const octave_idx_type&, const octave_idx_type&, const Complex*, |
| 244 const octave_idx_type&, double*, double& | |
| 4552 | 245 F77_CHAR_ARG_LEN_DECL); |
| 458 | 246 } |
| 247 | |
| 2354 | 248 static const Complex Complex_NaN_result (octave_NaN, octave_NaN); |
| 249 | |
| 1360 | 250 // Complex Matrix class |
| 458 | 251 |
| 252 ComplexMatrix::ComplexMatrix (const Matrix& a) | |
| 1214 | 253 : MArray2<Complex> (a.rows (), a.cols ()) |
| 458 | 254 { |
| 5275 | 255 for (octave_idx_type j = 0; j < cols (); j++) |
| 256 for (octave_idx_type i = 0; i < rows (); i++) | |
| 458 | 257 elem (i, j) = a.elem (i, j); |
| 258 } | |
| 259 | |
| 2349 | 260 ComplexMatrix::ComplexMatrix (const RowVector& rv) |
| 261 : MArray2<Complex> (1, rv.length (), 0.0) | |
| 262 { | |
| 5275 | 263 for (octave_idx_type i = 0; i < rv.length (); i++) |
| 2349 | 264 elem (0, i) = rv.elem (i); |
| 265 } | |
| 266 | |
| 267 ComplexMatrix::ComplexMatrix (const ColumnVector& cv) | |
| 268 : MArray2<Complex> (cv.length (), 1, 0.0) | |
| 269 { | |
| 5275 | 270 for (octave_idx_type i = 0; i < cv.length (); i++) |
| 2349 | 271 elem (i, 0) = cv.elem (i); |
| 272 } | |
| 273 | |
| 458 | 274 ComplexMatrix::ComplexMatrix (const DiagMatrix& a) |
| 1214 | 275 : MArray2<Complex> (a.rows (), a.cols (), 0.0) |
| 458 | 276 { |
| 5275 | 277 for (octave_idx_type i = 0; i < a.length (); i++) |
| 458 | 278 elem (i, i) = a.elem (i, i); |
| 279 } | |
| 280 | |
| 2349 | 281 ComplexMatrix::ComplexMatrix (const ComplexRowVector& rv) |
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282 : MArray2<Complex> (Array2<Complex> (rv, 1, rv.length ())) |
| 2349 | 283 { |
| 284 } | |
| 285 | |
| 286 ComplexMatrix::ComplexMatrix (const ComplexColumnVector& cv) | |
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287 : MArray2<Complex> (Array2<Complex> (cv, cv.length (), 1)) |
| 2349 | 288 { |
| 289 } | |
| 290 | |
| 458 | 291 ComplexMatrix::ComplexMatrix (const ComplexDiagMatrix& a) |
| 1214 | 292 : MArray2<Complex> (a.rows (), a.cols (), 0.0) |
| 458 | 293 { |
| 5275 | 294 for (octave_idx_type i = 0; i < a.length (); i++) |
| 458 | 295 elem (i, i) = a.elem (i, i); |
| 296 } | |
| 297 | |
| 5775 | 298 // FIXME -- could we use a templated mixed-type copy function |
| 1574 | 299 // here? |
| 300 | |
| 2828 | 301 ComplexMatrix::ComplexMatrix (const boolMatrix& a) |
| 3180 | 302 : MArray2<Complex> (a.rows (), a.cols (), 0.0) |
| 2828 | 303 { |
| 5275 | 304 for (octave_idx_type i = 0; i < a.rows (); i++) |
| 305 for (octave_idx_type j = 0; j < a.cols (); j++) | |
| 2828 | 306 elem (i, j) = a.elem (i, j); |
| 307 } | |
| 308 | |
| 1574 | 309 ComplexMatrix::ComplexMatrix (const charMatrix& a) |
| 3180 | 310 : MArray2<Complex> (a.rows (), a.cols (), 0.0) |
| 1574 | 311 { |
| 5275 | 312 for (octave_idx_type i = 0; i < a.rows (); i++) |
| 313 for (octave_idx_type j = 0; j < a.cols (); j++) | |
| 1574 | 314 elem (i, j) = a.elem (i, j); |
| 315 } | |
| 316 | |
| 2384 | 317 bool |
| 458 | 318 ComplexMatrix::operator == (const ComplexMatrix& a) const |
| 319 { | |
| 320 if (rows () != a.rows () || cols () != a.cols ()) | |
| 2384 | 321 return false; |
| 458 | 322 |
| 3769 | 323 return mx_inline_equal (data (), a.data (), length ()); |
| 458 | 324 } |
| 325 | |
| 2384 | 326 bool |
| 458 | 327 ComplexMatrix::operator != (const ComplexMatrix& a) const |
| 328 { | |
| 329 return !(*this == a); | |
| 330 } | |
| 331 | |
| 2815 | 332 bool |
| 333 ComplexMatrix::is_hermitian (void) const | |
| 334 { | |
| 5275 | 335 octave_idx_type nr = rows (); |
| 336 octave_idx_type nc = cols (); | |
| 2815 | 337 |
| 338 if (is_square () && nr > 0) | |
| 339 { | |
| 5275 | 340 for (octave_idx_type i = 0; i < nr; i++) |
| 341 for (octave_idx_type j = i; j < nc; j++) | |
| 2815 | 342 if (elem (i, j) != conj (elem (j, i))) |
| 343 return false; | |
| 344 | |
| 345 return true; | |
| 346 } | |
| 347 | |
| 348 return false; | |
| 349 } | |
| 350 | |
| 458 | 351 // destructive insert/delete/reorder operations |
| 352 | |
| 353 ComplexMatrix& | |
| 5275 | 354 ComplexMatrix::insert (const Matrix& a, octave_idx_type r, octave_idx_type c) |
| 458 | 355 { |
| 5275 | 356 octave_idx_type a_nr = a.rows (); |
| 357 octave_idx_type a_nc = a.cols (); | |
| 1699 | 358 |
| 359 if (r < 0 || r + a_nr > rows () || c < 0 || c + a_nc > cols ()) | |
| 458 | 360 { |
| 361 (*current_liboctave_error_handler) ("range error for insert"); | |
| 362 return *this; | |
| 363 } | |
| 364 | |
| 4316 | 365 if (a_nr >0 && a_nc > 0) |
| 366 { | |
| 367 make_unique (); | |
| 368 | |
| 5275 | 369 for (octave_idx_type j = 0; j < a_nc; j++) |
| 370 for (octave_idx_type i = 0; i < a_nr; i++) | |
| 4316 | 371 xelem (r+i, c+j) = a.elem (i, j); |
| 372 } | |
| 458 | 373 |
| 374 return *this; | |
| 375 } | |
| 376 | |
| 377 ComplexMatrix& | |
| 5275 | 378 ComplexMatrix::insert (const RowVector& a, octave_idx_type r, octave_idx_type c) |
| 458 | 379 { |
| 5275 | 380 octave_idx_type a_len = a.length (); |
| 4316 | 381 |
| 1699 | 382 if (r < 0 || r >= rows () || c < 0 || c + a_len > cols ()) |
| 458 | 383 { |
| 384 (*current_liboctave_error_handler) ("range error for insert"); | |
| 385 return *this; | |
| 386 } | |
| 387 | |
| 4316 | 388 if (a_len > 0) |
| 389 { | |
| 390 make_unique (); | |
| 391 | |
| 5275 | 392 for (octave_idx_type i = 0; i < a_len; i++) |
| 4316 | 393 xelem (r, c+i) = a.elem (i); |
| 394 } | |
| 458 | 395 |
| 396 return *this; | |
| 397 } | |
| 398 | |
| 399 ComplexMatrix& | |
| 5275 | 400 ComplexMatrix::insert (const ColumnVector& a, octave_idx_type r, octave_idx_type c) |
| 458 | 401 { |
| 5275 | 402 octave_idx_type a_len = a.length (); |
| 4316 | 403 |
| 1699 | 404 if (r < 0 || r + a_len > rows () || c < 0 || c >= cols ()) |
| 458 | 405 { |
| 406 (*current_liboctave_error_handler) ("range error for insert"); | |
| 407 return *this; | |
| 408 } | |
| 409 | |
| 4316 | 410 if (a_len > 0) |
| 411 { | |
| 412 make_unique (); | |
| 413 | |
| 5275 | 414 for (octave_idx_type i = 0; i < a_len; i++) |
| 4316 | 415 xelem (r+i, c) = a.elem (i); |
| 416 } | |
| 458 | 417 |
| 418 return *this; | |
| 419 } | |
| 420 | |
| 421 ComplexMatrix& | |
| 5275 | 422 ComplexMatrix::insert (const DiagMatrix& a, octave_idx_type r, octave_idx_type c) |
| 458 | 423 { |
| 5275 | 424 octave_idx_type a_nr = a.rows (); |
| 425 octave_idx_type a_nc = a.cols (); | |
| 1699 | 426 |
| 427 if (r < 0 || r + a_nr > rows () || c < 0 || c + a_nc > cols ()) | |
| 458 | 428 { |
| 429 (*current_liboctave_error_handler) ("range error for insert"); | |
| 430 return *this; | |
| 431 } | |
| 432 | |
| 1699 | 433 fill (0.0, r, c, r + a_nr - 1, c + a_nc - 1); |
| 434 | |
| 5275 | 435 octave_idx_type a_len = a.length (); |
| 4316 | 436 |
| 437 if (a_len > 0) | |
| 438 { | |
| 439 make_unique (); | |
| 440 | |
| 5275 | 441 for (octave_idx_type i = 0; i < a_len; i++) |
| 4316 | 442 xelem (r+i, c+i) = a.elem (i, i); |
| 443 } | |
| 458 | 444 |
| 445 return *this; | |
| 446 } | |
| 447 | |
| 448 ComplexMatrix& | |
| 5275 | 449 ComplexMatrix::insert (const ComplexMatrix& a, octave_idx_type r, octave_idx_type c) |
| 458 | 450 { |
| 1561 | 451 Array2<Complex>::insert (a, r, c); |
| 458 | 452 return *this; |
| 453 } | |
| 454 | |
| 455 ComplexMatrix& | |
| 5275 | 456 ComplexMatrix::insert (const ComplexRowVector& a, octave_idx_type r, octave_idx_type c) |
| 458 | 457 { |
| 5275 | 458 octave_idx_type a_len = a.length (); |
| 1699 | 459 if (r < 0 || r >= rows () || c < 0 || c + a_len > cols ()) |
| 458 | 460 { |
| 461 (*current_liboctave_error_handler) ("range error for insert"); | |
| 462 return *this; | |
| 463 } | |
| 464 | |
| 5275 | 465 for (octave_idx_type i = 0; i < a_len; i++) |
| 458 | 466 elem (r, c+i) = a.elem (i); |
| 467 | |
| 468 return *this; | |
| 469 } | |
| 470 | |
| 471 ComplexMatrix& | |
| 5275 | 472 ComplexMatrix::insert (const ComplexColumnVector& a, octave_idx_type r, octave_idx_type c) |
| 458 | 473 { |
| 5275 | 474 octave_idx_type a_len = a.length (); |
| 4316 | 475 |
| 1699 | 476 if (r < 0 || r + a_len > rows () || c < 0 || c >= cols ()) |
| 458 | 477 { |
| 478 (*current_liboctave_error_handler) ("range error for insert"); | |
| 479 return *this; | |
| 480 } | |
| 481 | |
| 4316 | 482 if (a_len > 0) |
| 483 { | |
| 484 make_unique (); | |
| 485 | |
| 5275 | 486 for (octave_idx_type i = 0; i < a_len; i++) |
| 4316 | 487 xelem (r+i, c) = a.elem (i); |
| 488 } | |
| 458 | 489 |
| 490 return *this; | |
| 491 } | |
| 492 | |
| 493 ComplexMatrix& | |
| 5275 | 494 ComplexMatrix::insert (const ComplexDiagMatrix& a, octave_idx_type r, octave_idx_type c) |
| 458 | 495 { |
| 5275 | 496 octave_idx_type a_nr = a.rows (); |
| 497 octave_idx_type a_nc = a.cols (); | |
| 1699 | 498 |
| 499 if (r < 0 || r + a_nr > rows () || c < 0 || c + a_nc > cols ()) | |
| 458 | 500 { |
| 501 (*current_liboctave_error_handler) ("range error for insert"); | |
| 502 return *this; | |
| 503 } | |
| 504 | |
| 1699 | 505 fill (0.0, r, c, r + a_nr - 1, c + a_nc - 1); |
| 506 | |
| 5275 | 507 octave_idx_type a_len = a.length (); |
| 4316 | 508 |
| 509 if (a_len > 0) | |
| 510 { | |
| 511 make_unique (); | |
| 512 | |
| 5275 | 513 for (octave_idx_type i = 0; i < a_len; i++) |
| 4316 | 514 xelem (r+i, c+i) = a.elem (i, i); |
| 515 } | |
| 458 | 516 |
| 517 return *this; | |
| 518 } | |
| 519 | |
| 520 ComplexMatrix& | |
| 521 ComplexMatrix::fill (double val) | |
| 522 { | |
| 5275 | 523 octave_idx_type nr = rows (); |
| 524 octave_idx_type nc = cols (); | |
| 4316 | 525 |
| 458 | 526 if (nr > 0 && nc > 0) |
| 4316 | 527 { |
| 528 make_unique (); | |
| 529 | |
| 5275 | 530 for (octave_idx_type j = 0; j < nc; j++) |
| 531 for (octave_idx_type i = 0; i < nr; i++) | |
| 4316 | 532 xelem (i, j) = val; |
| 533 } | |
| 458 | 534 |
| 535 return *this; | |
| 536 } | |
| 537 | |
| 538 ComplexMatrix& | |
| 539 ComplexMatrix::fill (const Complex& val) | |
| 540 { | |
| 5275 | 541 octave_idx_type nr = rows (); |
| 542 octave_idx_type nc = cols (); | |
| 4316 | 543 |
| 458 | 544 if (nr > 0 && nc > 0) |
| 4316 | 545 { |
| 546 make_unique (); | |
| 547 | |
| 5275 | 548 for (octave_idx_type j = 0; j < nc; j++) |
| 549 for (octave_idx_type i = 0; i < nr; i++) | |
| 4316 | 550 xelem (i, j) = val; |
| 551 } | |
| 458 | 552 |
| 553 return *this; | |
| 554 } | |
| 555 | |
| 556 ComplexMatrix& | |
| 5275 | 557 ComplexMatrix::fill (double val, octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2) |
| 458 | 558 { |
| 5275 | 559 octave_idx_type nr = rows (); |
| 560 octave_idx_type nc = cols (); | |
| 4316 | 561 |
| 458 | 562 if (r1 < 0 || r2 < 0 || c1 < 0 || c2 < 0 |
| 563 || r1 >= nr || r2 >= nr || c1 >= nc || c2 >= nc) | |
| 564 { | |
| 565 (*current_liboctave_error_handler) ("range error for fill"); | |
| 566 return *this; | |
| 567 } | |
| 568 | |
| 5275 | 569 if (r1 > r2) { octave_idx_type tmp = r1; r1 = r2; r2 = tmp; } |
| 570 if (c1 > c2) { octave_idx_type tmp = c1; c1 = c2; c2 = tmp; } | |
| 458 | 571 |
| 4316 | 572 if (r2 >= r1 && c2 >= c1) |
| 573 { | |
| 574 make_unique (); | |
| 575 | |
| 5275 | 576 for (octave_idx_type j = c1; j <= c2; j++) |
| 577 for (octave_idx_type i = r1; i <= r2; i++) | |
| 4316 | 578 xelem (i, j) = val; |
| 579 } | |
| 458 | 580 |
| 581 return *this; | |
| 582 } | |
| 583 | |
| 584 ComplexMatrix& | |
| 5275 | 585 ComplexMatrix::fill (const Complex& val, octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2) |
| 458 | 586 { |
| 5275 | 587 octave_idx_type nr = rows (); |
| 588 octave_idx_type nc = cols (); | |
| 4316 | 589 |
| 458 | 590 if (r1 < 0 || r2 < 0 || c1 < 0 || c2 < 0 |
| 591 || r1 >= nr || r2 >= nr || c1 >= nc || c2 >= nc) | |
| 592 { | |
| 593 (*current_liboctave_error_handler) ("range error for fill"); | |
| 594 return *this; | |
| 595 } | |
| 596 | |
| 5275 | 597 if (r1 > r2) { octave_idx_type tmp = r1; r1 = r2; r2 = tmp; } |
| 598 if (c1 > c2) { octave_idx_type tmp = c1; c1 = c2; c2 = tmp; } | |
| 458 | 599 |
| 4316 | 600 if (r2 >= r1 && c2 >=c1) |
| 601 { | |
| 602 make_unique (); | |
| 603 | |
| 5275 | 604 for (octave_idx_type j = c1; j <= c2; j++) |
| 605 for (octave_idx_type i = r1; i <= r2; i++) | |
| 4316 | 606 xelem (i, j) = val; |
| 607 } | |
| 458 | 608 |
| 609 return *this; | |
| 610 } | |
| 611 | |
| 612 ComplexMatrix | |
| 613 ComplexMatrix::append (const Matrix& a) const | |
| 614 { | |
| 5275 | 615 octave_idx_type nr = rows (); |
| 616 octave_idx_type nc = cols (); | |
| 458 | 617 if (nr != a.rows ()) |
| 618 { | |
| 619 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 620 return *this; | |
| 621 } | |
| 622 | |
| 5275 | 623 octave_idx_type nc_insert = nc; |
| 458 | 624 ComplexMatrix retval (nr, nc + a.cols ()); |
| 625 retval.insert (*this, 0, 0); | |
| 626 retval.insert (a, 0, nc_insert); | |
| 627 return retval; | |
| 628 } | |
| 629 | |
| 630 ComplexMatrix | |
| 631 ComplexMatrix::append (const RowVector& a) const | |
| 632 { | |
| 5275 | 633 octave_idx_type nr = rows (); |
| 634 octave_idx_type nc = cols (); | |
| 458 | 635 if (nr != 1) |
| 636 { | |
| 637 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 638 return *this; | |
| 639 } | |
| 640 | |
| 5275 | 641 octave_idx_type nc_insert = nc; |
| 458 | 642 ComplexMatrix retval (nr, nc + a.length ()); |
| 643 retval.insert (*this, 0, 0); | |
| 644 retval.insert (a, 0, nc_insert); | |
| 645 return retval; | |
| 646 } | |
| 647 | |
| 648 ComplexMatrix | |
| 649 ComplexMatrix::append (const ColumnVector& a) const | |
| 650 { | |
| 5275 | 651 octave_idx_type nr = rows (); |
| 652 octave_idx_type nc = cols (); | |
| 458 | 653 if (nr != a.length ()) |
| 654 { | |
| 655 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 656 return *this; | |
| 657 } | |
| 658 | |
| 5275 | 659 octave_idx_type nc_insert = nc; |
| 458 | 660 ComplexMatrix retval (nr, nc + 1); |
| 661 retval.insert (*this, 0, 0); | |
| 662 retval.insert (a, 0, nc_insert); | |
| 663 return retval; | |
| 664 } | |
| 665 | |
| 666 ComplexMatrix | |
| 667 ComplexMatrix::append (const DiagMatrix& a) const | |
| 668 { | |
| 5275 | 669 octave_idx_type nr = rows (); |
| 670 octave_idx_type nc = cols (); | |
| 458 | 671 if (nr != a.rows ()) |
| 672 { | |
| 673 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 674 return *this; | |
| 675 } | |
| 676 | |
| 5275 | 677 octave_idx_type nc_insert = nc; |
| 458 | 678 ComplexMatrix retval (nr, nc + a.cols ()); |
| 679 retval.insert (*this, 0, 0); | |
| 680 retval.insert (a, 0, nc_insert); | |
| 681 return retval; | |
| 682 } | |
| 683 | |
| 684 ComplexMatrix | |
| 685 ComplexMatrix::append (const ComplexMatrix& a) const | |
| 686 { | |
| 5275 | 687 octave_idx_type nr = rows (); |
| 688 octave_idx_type nc = cols (); | |
| 458 | 689 if (nr != a.rows ()) |
| 690 { | |
| 691 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 692 return *this; | |
| 693 } | |
| 694 | |
| 5275 | 695 octave_idx_type nc_insert = nc; |
| 458 | 696 ComplexMatrix retval (nr, nc + a.cols ()); |
| 697 retval.insert (*this, 0, 0); | |
| 698 retval.insert (a, 0, nc_insert); | |
| 699 return retval; | |
| 700 } | |
| 701 | |
| 702 ComplexMatrix | |
| 703 ComplexMatrix::append (const ComplexRowVector& a) const | |
| 704 { | |
| 5275 | 705 octave_idx_type nr = rows (); |
| 706 octave_idx_type nc = cols (); | |
| 458 | 707 if (nr != 1) |
| 708 { | |
| 709 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 710 return *this; | |
| 711 } | |
| 712 | |
| 5275 | 713 octave_idx_type nc_insert = nc; |
| 458 | 714 ComplexMatrix retval (nr, nc + a.length ()); |
| 715 retval.insert (*this, 0, 0); | |
| 716 retval.insert (a, 0, nc_insert); | |
| 717 return retval; | |
| 718 } | |
| 719 | |
| 720 ComplexMatrix | |
| 721 ComplexMatrix::append (const ComplexColumnVector& a) const | |
| 722 { | |
| 5275 | 723 octave_idx_type nr = rows (); |
| 724 octave_idx_type nc = cols (); | |
| 458 | 725 if (nr != a.length ()) |
| 726 { | |
| 727 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 728 return *this; | |
| 729 } | |
| 730 | |
| 5275 | 731 octave_idx_type nc_insert = nc; |
| 458 | 732 ComplexMatrix retval (nr, nc + 1); |
| 733 retval.insert (*this, 0, 0); | |
| 734 retval.insert (a, 0, nc_insert); | |
| 735 return retval; | |
| 736 } | |
| 737 | |
| 738 ComplexMatrix | |
| 739 ComplexMatrix::append (const ComplexDiagMatrix& a) const | |
| 740 { | |
| 5275 | 741 octave_idx_type nr = rows (); |
| 742 octave_idx_type nc = cols (); | |
| 458 | 743 if (nr != a.rows ()) |
| 744 { | |
| 745 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 746 return *this; | |
| 747 } | |
| 748 | |
| 5275 | 749 octave_idx_type nc_insert = nc; |
| 458 | 750 ComplexMatrix retval (nr, nc + a.cols ()); |
| 751 retval.insert (*this, 0, 0); | |
| 752 retval.insert (a, 0, nc_insert); | |
| 753 return retval; | |
| 754 } | |
| 755 | |
| 756 ComplexMatrix | |
| 757 ComplexMatrix::stack (const Matrix& a) const | |
| 758 { | |
| 5275 | 759 octave_idx_type nr = rows (); |
| 760 octave_idx_type nc = cols (); | |
| 458 | 761 if (nc != a.cols ()) |
| 762 { | |
| 763 (*current_liboctave_error_handler) | |
| 764 ("column dimension mismatch for stack"); | |
| 765 return *this; | |
| 766 } | |
| 767 | |
| 5275 | 768 octave_idx_type nr_insert = nr; |
| 458 | 769 ComplexMatrix retval (nr + a.rows (), nc); |
| 770 retval.insert (*this, 0, 0); | |
| 771 retval.insert (a, nr_insert, 0); | |
| 772 return retval; | |
| 773 } | |
| 774 | |
| 775 ComplexMatrix | |
| 776 ComplexMatrix::stack (const RowVector& a) const | |
| 777 { | |
| 5275 | 778 octave_idx_type nr = rows (); |
| 779 octave_idx_type nc = cols (); | |
| 458 | 780 if (nc != a.length ()) |
| 781 { | |
| 782 (*current_liboctave_error_handler) | |
| 783 ("column dimension mismatch for stack"); | |
| 784 return *this; | |
| 785 } | |
| 786 | |
| 5275 | 787 octave_idx_type nr_insert = nr; |
| 458 | 788 ComplexMatrix retval (nr + 1, nc); |
| 789 retval.insert (*this, 0, 0); | |
| 790 retval.insert (a, nr_insert, 0); | |
| 791 return retval; | |
| 792 } | |
| 793 | |
| 794 ComplexMatrix | |
| 795 ComplexMatrix::stack (const ColumnVector& a) const | |
| 796 { | |
| 5275 | 797 octave_idx_type nr = rows (); |
| 798 octave_idx_type nc = cols (); | |
| 458 | 799 if (nc != 1) |
| 800 { | |
| 801 (*current_liboctave_error_handler) | |
| 802 ("column dimension mismatch for stack"); | |
| 803 return *this; | |
| 804 } | |
| 805 | |
| 5275 | 806 octave_idx_type nr_insert = nr; |
| 458 | 807 ComplexMatrix retval (nr + a.length (), nc); |
| 808 retval.insert (*this, 0, 0); | |
| 809 retval.insert (a, nr_insert, 0); | |
| 810 return retval; | |
| 811 } | |
| 812 | |
| 813 ComplexMatrix | |
| 814 ComplexMatrix::stack (const DiagMatrix& a) const | |
| 815 { | |
| 5275 | 816 octave_idx_type nr = rows (); |
| 817 octave_idx_type nc = cols (); | |
| 458 | 818 if (nc != a.cols ()) |
| 819 { | |
| 820 (*current_liboctave_error_handler) | |
| 821 ("column dimension mismatch for stack"); | |
| 822 return *this; | |
| 823 } | |
| 824 | |
| 5275 | 825 octave_idx_type nr_insert = nr; |
| 458 | 826 ComplexMatrix retval (nr + a.rows (), nc); |
| 827 retval.insert (*this, 0, 0); | |
| 828 retval.insert (a, nr_insert, 0); | |
| 829 return retval; | |
| 830 } | |
| 831 | |
| 832 ComplexMatrix | |
| 833 ComplexMatrix::stack (const ComplexMatrix& a) const | |
| 834 { | |
| 5275 | 835 octave_idx_type nr = rows (); |
| 836 octave_idx_type nc = cols (); | |
| 458 | 837 if (nc != a.cols ()) |
| 838 { | |
| 839 (*current_liboctave_error_handler) | |
| 840 ("column dimension mismatch for stack"); | |
| 841 return *this; | |
| 842 } | |
| 843 | |
| 5275 | 844 octave_idx_type nr_insert = nr; |
| 458 | 845 ComplexMatrix retval (nr + a.rows (), nc); |
| 846 retval.insert (*this, 0, 0); | |
| 847 retval.insert (a, nr_insert, 0); | |
| 848 return retval; | |
| 849 } | |
| 850 | |
| 851 ComplexMatrix | |
| 852 ComplexMatrix::stack (const ComplexRowVector& a) const | |
| 853 { | |
| 5275 | 854 octave_idx_type nr = rows (); |
| 855 octave_idx_type nc = cols (); | |
| 458 | 856 if (nc != a.length ()) |
| 857 { | |
| 858 (*current_liboctave_error_handler) | |
| 859 ("column dimension mismatch for stack"); | |
| 860 return *this; | |
| 861 } | |
| 862 | |
| 5275 | 863 octave_idx_type nr_insert = nr; |
| 458 | 864 ComplexMatrix retval (nr + 1, nc); |
| 865 retval.insert (*this, 0, 0); | |
| 866 retval.insert (a, nr_insert, 0); | |
| 867 return retval; | |
| 868 } | |
| 869 | |
| 870 ComplexMatrix | |
| 871 ComplexMatrix::stack (const ComplexColumnVector& a) const | |
| 872 { | |
| 5275 | 873 octave_idx_type nr = rows (); |
| 874 octave_idx_type nc = cols (); | |
| 458 | 875 if (nc != 1) |
| 876 { | |
| 877 (*current_liboctave_error_handler) | |
| 878 ("column dimension mismatch for stack"); | |
| 879 return *this; | |
| 880 } | |
| 881 | |
| 5275 | 882 octave_idx_type nr_insert = nr; |
| 458 | 883 ComplexMatrix retval (nr + a.length (), nc); |
| 884 retval.insert (*this, 0, 0); | |
| 885 retval.insert (a, nr_insert, 0); | |
| 886 return retval; | |
| 887 } | |
| 888 | |
| 889 ComplexMatrix | |
| 890 ComplexMatrix::stack (const ComplexDiagMatrix& a) const | |
| 891 { | |
| 5275 | 892 octave_idx_type nr = rows (); |
| 893 octave_idx_type nc = cols (); | |
| 458 | 894 if (nc != a.cols ()) |
| 895 { | |
| 896 (*current_liboctave_error_handler) | |
| 897 ("column dimension mismatch for stack"); | |
| 898 return *this; | |
| 899 } | |
| 900 | |
| 5275 | 901 octave_idx_type nr_insert = nr; |
| 458 | 902 ComplexMatrix retval (nr + a.rows (), nc); |
| 903 retval.insert (*this, 0, 0); | |
| 904 retval.insert (a, nr_insert, 0); | |
| 905 return retval; | |
| 906 } | |
| 907 | |
| 908 ComplexMatrix | |
| 909 conj (const ComplexMatrix& a) | |
| 910 { | |
|
8650
a1ae2aae903e
abs,real,imag,conj: use code from mx-inlines rather than the generic map
Jaroslav Hajek <highegg@gmail.com>
parents:
8614
diff
changeset
|
911 return ComplexMatrix (mx_inline_conj_dup (a.data (), a.length ()), |
|
a1ae2aae903e
abs,real,imag,conj: use code from mx-inlines rather than the generic map
Jaroslav Hajek <highegg@gmail.com>
parents:
8614
diff
changeset
|
912 a.rows (), a.cols ()); |
| 458 | 913 } |
| 914 | |
| 915 // resize is the destructive equivalent for this one | |
| 916 | |
| 917 ComplexMatrix | |
| 5275 | 918 ComplexMatrix::extract (octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2) const |
| 458 | 919 { |
| 5275 | 920 if (r1 > r2) { octave_idx_type tmp = r1; r1 = r2; r2 = tmp; } |
| 921 if (c1 > c2) { octave_idx_type tmp = c1; c1 = c2; c2 = tmp; } | |
| 922 | |
| 923 octave_idx_type new_r = r2 - r1 + 1; | |
| 924 octave_idx_type new_c = c2 - c1 + 1; | |
| 458 | 925 |
| 926 ComplexMatrix result (new_r, new_c); | |
| 927 | |
| 5275 | 928 for (octave_idx_type j = 0; j < new_c; j++) |
| 929 for (octave_idx_type i = 0; i < new_r; i++) | |
| 4316 | 930 result.xelem (i, j) = elem (r1+i, c1+j); |
| 931 | |
| 932 return result; | |
| 933 } | |
| 934 | |
| 935 ComplexMatrix | |
| 5275 | 936 ComplexMatrix::extract_n (octave_idx_type r1, octave_idx_type c1, octave_idx_type nr, octave_idx_type nc) const |
| 4316 | 937 { |
| 938 ComplexMatrix result (nr, nc); | |
| 939 | |
| 5275 | 940 for (octave_idx_type j = 0; j < nc; j++) |
| 941 for (octave_idx_type i = 0; i < nr; i++) | |
| 4316 | 942 result.xelem (i, j) = elem (r1+i, c1+j); |
| 458 | 943 |
| 944 return result; | |
| 945 } | |
| 946 | |
| 947 // extract row or column i. | |
| 948 | |
| 949 ComplexRowVector | |
| 5275 | 950 ComplexMatrix::row (octave_idx_type i) const |
| 458 | 951 { |
|
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952 return MArray<Complex> (index (idx_vector (i), idx_vector::colon)); |
| 458 | 953 } |
| 954 | |
| 955 ComplexColumnVector | |
| 5275 | 956 ComplexMatrix::column (octave_idx_type i) const |
| 458 | 957 { |
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958 return MArray<Complex> (index (idx_vector::colon, idx_vector (i))); |
| 458 | 959 } |
| 960 | |
| 961 ComplexMatrix | |
| 962 ComplexMatrix::inverse (void) const | |
| 963 { | |
| 5275 | 964 octave_idx_type info; |
| 7788 | 965 double rcon; |
| 6207 | 966 MatrixType mattype (*this); |
| 7788 | 967 return inverse (mattype, info, rcon, 0, 0); |
| 6207 | 968 } |
| 969 | |
| 970 ComplexMatrix | |
| 6479 | 971 ComplexMatrix::inverse (octave_idx_type& info) const |
| 972 { | |
| 7788 | 973 double rcon; |
| 6479 | 974 MatrixType mattype (*this); |
| 7788 | 975 return inverse (mattype, info, rcon, 0, 0); |
| 6479 | 976 } |
| 977 | |
| 978 ComplexMatrix | |
| 7788 | 979 ComplexMatrix::inverse (octave_idx_type& info, double& rcon, int force, |
| 6479 | 980 int calc_cond) const |
| 981 { | |
| 982 MatrixType mattype (*this); | |
| 7788 | 983 return inverse (mattype, info, rcon, force, calc_cond); |
| 6479 | 984 } |
| 985 | |
| 986 ComplexMatrix | |
| 6207 | 987 ComplexMatrix::inverse (MatrixType &mattype) const |
| 988 { | |
| 989 octave_idx_type info; | |
| 7788 | 990 double rcon; |
| 991 return inverse (mattype, info, rcon, 0, 0); | |
| 6207 | 992 } |
| 993 | |
| 994 ComplexMatrix | |
| 995 ComplexMatrix::inverse (MatrixType &mattype, octave_idx_type& info) const | |
| 996 { | |
| 7788 | 997 double rcon; |
| 998 return inverse (mattype, info, rcon, 0, 0); | |
| 458 | 999 } |
| 1000 | |
| 1001 ComplexMatrix | |
| 6207 | 1002 ComplexMatrix::tinverse (MatrixType &mattype, octave_idx_type& info, |
| 7788 | 1003 double& rcon, int force, int calc_cond) const |
| 458 | 1004 { |
| 6207 | 1005 ComplexMatrix retval; |
| 1006 | |
| 1007 octave_idx_type nr = rows (); | |
| 1008 octave_idx_type nc = cols (); | |
| 1009 | |
| 1010 if (nr != nc || nr == 0 || nc == 0) | |
| 1011 (*current_liboctave_error_handler) ("inverse requires square matrix"); | |
| 1012 else | |
| 1013 { | |
| 1014 int typ = mattype.type (); | |
| 1015 char uplo = (typ == MatrixType::Lower ? 'L' : 'U'); | |
| 1016 char udiag = 'N'; | |
| 1017 retval = *this; | |
| 1018 Complex *tmp_data = retval.fortran_vec (); | |
| 1019 | |
| 1020 F77_XFCN (ztrtri, ZTRTRI, (F77_CONST_CHAR_ARG2 (&uplo, 1), | |
| 1021 F77_CONST_CHAR_ARG2 (&udiag, 1), | |
| 1022 nr, tmp_data, nr, info | |
| 1023 F77_CHAR_ARG_LEN (1) | |
| 1024 F77_CHAR_ARG_LEN (1))); | |
| 1025 | |
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1026 // Throw-away extra info LAPACK gives so as to not change output. |
| 7788 | 1027 rcon = 0.0; |
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1028 if (info != 0) |
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1029 info = -1; |
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1030 else if (calc_cond) |
| 6207 | 1031 { |
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1032 octave_idx_type ztrcon_info = 0; |
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1033 char job = '1'; |
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1034 |
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1035 OCTAVE_LOCAL_BUFFER (Complex, cwork, 2*nr); |
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1036 OCTAVE_LOCAL_BUFFER (double, rwork, nr); |
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1037 |
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1038 F77_XFCN (ztrcon, ZTRCON, (F77_CONST_CHAR_ARG2 (&job, 1), |
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1039 F77_CONST_CHAR_ARG2 (&uplo, 1), |
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1040 F77_CONST_CHAR_ARG2 (&udiag, 1), |
| 7788 | 1041 nr, tmp_data, nr, rcon, |
|
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1042 cwork, rwork, ztrcon_info |
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1043 F77_CHAR_ARG_LEN (1) |
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1044 F77_CHAR_ARG_LEN (1) |
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1045 F77_CHAR_ARG_LEN (1))); |
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1046 |
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1047 if (ztrcon_info != 0) |
| 6207 | 1048 info = -1; |
| 1049 } | |
| 1050 | |
| 1051 if (info == -1 && ! force) | |
| 1052 retval = *this; // Restore matrix contents. | |
| 1053 } | |
| 1054 | |
| 1055 return retval; | |
| 458 | 1056 } |
| 1057 | |
| 1058 ComplexMatrix | |
| 6207 | 1059 ComplexMatrix::finverse (MatrixType &mattype, octave_idx_type& info, |
| 7788 | 1060 double& rcon, int force, int calc_cond) const |
| 458 | 1061 { |
| 1948 | 1062 ComplexMatrix retval; |
| 1063 | |
| 5275 | 1064 octave_idx_type nr = rows (); |
| 1065 octave_idx_type nc = cols (); | |
| 1948 | 1066 |
| 458 | 1067 if (nr != nc) |
| 1948 | 1068 (*current_liboctave_error_handler) ("inverse requires square matrix"); |
| 458 | 1069 else |
| 1070 { | |
| 5275 | 1071 Array<octave_idx_type> ipvt (nr); |
| 1072 octave_idx_type *pipvt = ipvt.fortran_vec (); | |
| 1948 | 1073 |
| 1074 retval = *this; | |
| 1075 Complex *tmp_data = retval.fortran_vec (); | |
| 1076 | |
| 4329 | 1077 Array<Complex> z(1); |
| 5275 | 1078 octave_idx_type lwork = -1; |
| 4330 | 1079 |
| 1080 // Query the optimum work array size. | |
| 4329 | 1081 |
| 1082 F77_XFCN (zgetri, ZGETRI, (nc, tmp_data, nr, pipvt, | |
| 1083 z.fortran_vec (), lwork, info)); | |
| 1084 | |
| 5315 | 1085 lwork = static_cast<octave_idx_type> (std::real(z(0))); |
| 4329 | 1086 lwork = (lwork < 2 *nc ? 2*nc : lwork); |
| 1087 z.resize (lwork); | |
| 1088 Complex *pz = z.fortran_vec (); | |
| 1089 | |
| 1090 info = 0; | |
| 1091 | |
| 4330 | 1092 // Calculate the norm of the matrix, for later use. |
| 4329 | 1093 double anorm; |
| 1094 if (calc_cond) | |
| 5275 | 1095 anorm = retval.abs().sum().row(static_cast<octave_idx_type>(0)).max(); |
| 4329 | 1096 |
| 1097 F77_XFCN (zgetrf, ZGETRF, (nc, nc, tmp_data, nr, pipvt, info)); | |
| 1948 | 1098 |
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1099 // Throw-away extra info LAPACK gives so as to not change output. |
| 7788 | 1100 rcon = 0.0; |
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1101 if (info != 0) |
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1102 info = -1; |
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1103 else if (calc_cond) |
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1104 { |
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1105 // Now calculate the condition number for non-singular matrix. |
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1106 octave_idx_type zgecon_info = 0; |
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1107 char job = '1'; |
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1108 Array<double> rz (2 * nc); |
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1109 double *prz = rz.fortran_vec (); |
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1110 F77_XFCN (zgecon, ZGECON, (F77_CONST_CHAR_ARG2 (&job, 1), |
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1111 nc, tmp_data, nr, anorm, |
| 7788 | 1112 rcon, pz, prz, zgecon_info |
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1113 F77_CHAR_ARG_LEN (1))); |
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1114 |
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1115 if (zgecon_info != 0) |
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1116 info = -1; |
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1117 } |
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1118 |
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1119 if (info == -1 && ! force) |
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1120 retval = *this; // Restore contents. |
| 1948 | 1121 else |
| 1122 { | |
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1123 octave_idx_type zgetri_info = 0; |
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1124 |
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1125 F77_XFCN (zgetri, ZGETRI, (nc, tmp_data, nr, pipvt, |
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1126 pz, lwork, zgetri_info)); |
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1127 |
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1128 if (zgetri_info != 0) |
| 1948 | 1129 info = -1; |
| 1130 } | |
| 6207 | 1131 |
| 1132 if (info != 0) | |
| 1133 mattype.mark_as_rectangular(); | |
| 458 | 1134 } |
| 4329 | 1135 |
| 1948 | 1136 return retval; |
| 458 | 1137 } |
| 1138 | |
| 1139 ComplexMatrix | |
| 6207 | 1140 ComplexMatrix::inverse (MatrixType &mattype, octave_idx_type& info, |
| 7788 | 1141 double& rcon, int force, int calc_cond) const |
| 6207 | 1142 { |
| 1143 int typ = mattype.type (false); | |
| 1144 ComplexMatrix ret; | |
| 1145 | |
| 1146 if (typ == MatrixType::Unknown) | |
| 1147 typ = mattype.type (*this); | |
| 1148 | |
| 1149 if (typ == MatrixType::Upper || typ == MatrixType::Lower) | |
| 7788 | 1150 ret = tinverse (mattype, info, rcon, force, calc_cond); |
| 6840 | 1151 else |
| 6207 | 1152 { |
| 1153 if (mattype.is_hermitian ()) | |
| 1154 { | |
| 6486 | 1155 ComplexCHOL chol (*this, info, calc_cond); |
| 6207 | 1156 if (info == 0) |
| 6486 | 1157 { |
| 1158 if (calc_cond) | |
| 7788 | 1159 rcon = chol.rcond(); |
| 6486 | 1160 else |
| 7788 | 1161 rcon = 1.0; |
| 6486 | 1162 ret = chol.inverse (); |
| 1163 } | |
| 6207 | 1164 else |
| 1165 mattype.mark_as_unsymmetric (); | |
| 1166 } | |
| 1167 | |
| 1168 if (!mattype.is_hermitian ()) | |
| 7788 | 1169 ret = finverse(mattype, info, rcon, force, calc_cond); |
| 1170 | |
| 1171 if ((mattype.is_hermitian () || calc_cond) && rcon == 0.) | |
| 6840 | 1172 ret = ComplexMatrix (rows (), columns (), Complex (octave_Inf, 0.)); |
| 6207 | 1173 } |
| 1174 | |
| 1175 return ret; | |
| 1176 } | |
| 1177 | |
| 1178 ComplexMatrix | |
| 4384 | 1179 ComplexMatrix::pseudo_inverse (double tol) const |
| 740 | 1180 { |
| 1549 | 1181 ComplexMatrix retval; |
| 1182 | |
| 3480 | 1183 ComplexSVD result (*this, SVD::economy); |
| 740 | 1184 |
| 1185 DiagMatrix S = result.singular_values (); | |
| 1186 ComplexMatrix U = result.left_singular_matrix (); | |
| 1187 ComplexMatrix V = result.right_singular_matrix (); | |
| 1188 | |
| 1189 ColumnVector sigma = S.diag (); | |
| 1190 | |
| 5275 | 1191 octave_idx_type r = sigma.length () - 1; |
| 1192 octave_idx_type nr = rows (); | |
| 1193 octave_idx_type nc = cols (); | |
| 740 | 1194 |
| 1195 if (tol <= 0.0) | |
| 1196 { | |
| 1197 if (nr > nc) | |
| 1198 tol = nr * sigma.elem (0) * DBL_EPSILON; | |
| 1199 else | |
| 1200 tol = nc * sigma.elem (0) * DBL_EPSILON; | |
| 1201 } | |
| 1202 | |
| 1203 while (r >= 0 && sigma.elem (r) < tol) | |
| 1204 r--; | |
| 1205 | |
| 1206 if (r < 0) | |
| 1549 | 1207 retval = ComplexMatrix (nc, nr, 0.0); |
| 740 | 1208 else |
| 1209 { | |
| 1210 ComplexMatrix Ur = U.extract (0, 0, nr-1, r); | |
| 1211 DiagMatrix D = DiagMatrix (sigma.extract (0, r)) . inverse (); | |
| 1212 ComplexMatrix Vr = V.extract (0, 0, nc-1, r); | |
| 1549 | 1213 retval = Vr * D * Ur.hermitian (); |
| 740 | 1214 } |
| 1549 | 1215 |
| 1216 return retval; | |
| 740 | 1217 } |
| 1218 | |
| 4773 | 1219 #if defined (HAVE_FFTW3) |
| 3827 | 1220 |
| 1221 ComplexMatrix | |
| 1222 ComplexMatrix::fourier (void) const | |
| 1223 { | |
| 1224 size_t nr = rows (); | |
| 1225 size_t nc = cols (); | |
| 1226 | |
| 1227 ComplexMatrix retval (nr, nc); | |
| 1228 | |
| 1229 size_t npts, nsamples; | |
| 1230 | |
| 1231 if (nr == 1 || nc == 1) | |
| 1232 { | |
| 1233 npts = nr > nc ? nr : nc; | |
| 1234 nsamples = 1; | |
| 1235 } | |
| 1236 else | |
| 1237 { | |
| 1238 npts = nr; | |
| 1239 nsamples = nc; | |
| 1240 } | |
| 1241 | |
| 1242 const Complex *in (data ()); | |
| 1243 Complex *out (retval.fortran_vec ()); | |
| 1244 | |
| 4773 | 1245 octave_fftw::fft (in, out, npts, nsamples); |
| 3827 | 1246 |
| 1247 return retval; | |
| 1248 } | |
| 1249 | |
| 1250 ComplexMatrix | |
| 1251 ComplexMatrix::ifourier (void) const | |
| 1252 { | |
| 1253 size_t nr = rows (); | |
| 1254 size_t nc = cols (); | |
| 1255 | |
| 1256 ComplexMatrix retval (nr, nc); | |
| 1257 | |
| 1258 size_t npts, nsamples; | |
| 1259 | |
| 1260 if (nr == 1 || nc == 1) | |
| 1261 { | |
| 1262 npts = nr > nc ? nr : nc; | |
| 1263 nsamples = 1; | |
| 1264 } | |
| 1265 else | |
| 1266 { | |
| 1267 npts = nr; | |
| 1268 nsamples = nc; | |
| 1269 } | |
| 1270 | |
| 1271 const Complex *in (data ()); | |
| 1272 Complex *out (retval.fortran_vec ()); | |
| 1273 | |
| 4773 | 1274 octave_fftw::ifft (in, out, npts, nsamples); |
| 3827 | 1275 |
| 1276 return retval; | |
| 1277 } | |
| 1278 | |
| 1279 ComplexMatrix | |
| 1280 ComplexMatrix::fourier2d (void) const | |
| 1281 { | |
| 4773 | 1282 dim_vector dv(rows (), cols ()); |
| 1283 | |
| 1284 ComplexMatrix retval (rows (), cols ()); | |
| 1285 const Complex *in (data ()); | |
| 1286 Complex *out (retval.fortran_vec ()); | |
| 1287 | |
| 1288 octave_fftw::fftNd (in, out, 2, dv); | |
| 3827 | 1289 |
| 1290 return retval; | |
| 1291 } | |
| 1292 | |
| 1293 ComplexMatrix | |
| 1294 ComplexMatrix::ifourier2d (void) const | |
| 1295 { | |
| 4773 | 1296 dim_vector dv(rows (), cols ()); |
| 1297 | |
| 1298 ComplexMatrix retval (rows (), cols ()); | |
| 1299 const Complex *in (data ()); | |
| 1300 Complex *out (retval.fortran_vec ()); | |
| 1301 | |
| 1302 octave_fftw::ifftNd (in, out, 2, dv); | |
| 3827 | 1303 |
| 1304 return retval; | |
| 1305 } | |
| 1306 | |
| 1307 #else | |
| 1308 | |
| 740 | 1309 ComplexMatrix |
| 458 | 1310 ComplexMatrix::fourier (void) const |
| 1311 { | |
| 1948 | 1312 ComplexMatrix retval; |
| 1313 | |
| 5275 | 1314 octave_idx_type nr = rows (); |
| 1315 octave_idx_type nc = cols (); | |
| 1316 | |
| 1317 octave_idx_type npts, nsamples; | |
| 1948 | 1318 |
| 458 | 1319 if (nr == 1 || nc == 1) |
| 1320 { | |
| 1321 npts = nr > nc ? nr : nc; | |
| 1322 nsamples = 1; | |
| 1323 } | |
| 1324 else | |
| 1325 { | |
| 1326 npts = nr; | |
| 1327 nsamples = nc; | |
| 1328 } | |
| 1329 | |
| 5275 | 1330 octave_idx_type nn = 4*npts+15; |
| 1948 | 1331 |
| 1332 Array<Complex> wsave (nn); | |
| 1333 Complex *pwsave = wsave.fortran_vec (); | |
| 1334 | |
| 1335 retval = *this; | |
| 1336 Complex *tmp_data = retval.fortran_vec (); | |
| 1337 | |
|
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1338 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
| 458 | 1339 |
| 5275 | 1340 for (octave_idx_type j = 0; j < nsamples; j++) |
| 4153 | 1341 { |
| 1342 OCTAVE_QUIT; | |
| 1343 | |
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1344 F77_FUNC (zfftf, ZFFTF) (npts, &tmp_data[npts*j], pwsave); |
| 4153 | 1345 } |
| 1948 | 1346 |
| 1347 return retval; | |
| 458 | 1348 } |
| 1349 | |
| 1350 ComplexMatrix | |
| 1351 ComplexMatrix::ifourier (void) const | |
| 1352 { | |
| 1948 | 1353 ComplexMatrix retval; |
| 1354 | |
| 5275 | 1355 octave_idx_type nr = rows (); |
| 1356 octave_idx_type nc = cols (); | |
| 1357 | |
| 1358 octave_idx_type npts, nsamples; | |
| 1948 | 1359 |
| 458 | 1360 if (nr == 1 || nc == 1) |
| 1361 { | |
| 1362 npts = nr > nc ? nr : nc; | |
| 1363 nsamples = 1; | |
| 1364 } | |
| 1365 else | |
| 1366 { | |
| 1367 npts = nr; | |
| 1368 nsamples = nc; | |
| 1369 } | |
| 1370 | |
| 5275 | 1371 octave_idx_type nn = 4*npts+15; |
| 1948 | 1372 |
| 1373 Array<Complex> wsave (nn); | |
| 1374 Complex *pwsave = wsave.fortran_vec (); | |
| 1375 | |
| 1376 retval = *this; | |
| 1377 Complex *tmp_data = retval.fortran_vec (); | |
| 1378 | |
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1379 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
| 458 | 1380 |
| 5275 | 1381 for (octave_idx_type j = 0; j < nsamples; j++) |
| 4153 | 1382 { |
| 1383 OCTAVE_QUIT; | |
| 1384 | |
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1385 F77_FUNC (zfftb, ZFFTB) (npts, &tmp_data[npts*j], pwsave); |
| 4153 | 1386 } |
| 458 | 1387 |
| 5275 | 1388 for (octave_idx_type j = 0; j < npts*nsamples; j++) |
| 3572 | 1389 tmp_data[j] = tmp_data[j] / static_cast<double> (npts); |
| 458 | 1390 |
| 1948 | 1391 return retval; |
| 458 | 1392 } |
| 1393 | |
| 677 | 1394 ComplexMatrix |
| 1395 ComplexMatrix::fourier2d (void) const | |
| 1396 { | |
| 1948 | 1397 ComplexMatrix retval; |
| 1398 | |
| 5275 | 1399 octave_idx_type nr = rows (); |
| 1400 octave_idx_type nc = cols (); | |
| 1401 | |
| 1402 octave_idx_type npts, nsamples; | |
| 1948 | 1403 |
| 677 | 1404 if (nr == 1 || nc == 1) |
| 1405 { | |
| 1406 npts = nr > nc ? nr : nc; | |
| 1407 nsamples = 1; | |
| 1408 } | |
| 1409 else | |
| 1410 { | |
| 1411 npts = nr; | |
| 1412 nsamples = nc; | |
| 1413 } | |
| 1414 | |
| 5275 | 1415 octave_idx_type nn = 4*npts+15; |
| 1948 | 1416 |
| 1417 Array<Complex> wsave (nn); | |
| 1418 Complex *pwsave = wsave.fortran_vec (); | |
| 1419 | |
| 1420 retval = *this; | |
| 1421 Complex *tmp_data = retval.fortran_vec (); | |
| 1422 | |
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1423 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
| 677 | 1424 |
| 5275 | 1425 for (octave_idx_type j = 0; j < nsamples; j++) |
| 4153 | 1426 { |
| 1427 OCTAVE_QUIT; | |
| 1428 | |
|
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|
1429 F77_FUNC (zfftf, ZFFTF) (npts, &tmp_data[npts*j], pwsave); |
| 4153 | 1430 } |
| 677 | 1431 |
| 1432 npts = nc; | |
| 1433 nsamples = nr; | |
| 1434 nn = 4*npts+15; | |
| 1948 | 1435 |
| 1436 wsave.resize (nn); | |
| 1437 pwsave = wsave.fortran_vec (); | |
| 1438 | |
| 4773 | 1439 Array<Complex> tmp (npts); |
| 1440 Complex *prow = tmp.fortran_vec (); | |
| 1948 | 1441 |
|
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1442 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
| 677 | 1443 |
| 5275 | 1444 for (octave_idx_type j = 0; j < nsamples; j++) |
| 677 | 1445 { |
| 4153 | 1446 OCTAVE_QUIT; |
| 1447 | |
| 5275 | 1448 for (octave_idx_type i = 0; i < npts; i++) |
| 1948 | 1449 prow[i] = tmp_data[i*nr + j]; |
| 1450 | |
|
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1451 F77_FUNC (zfftf, ZFFTF) (npts, prow, pwsave); |
| 677 | 1452 |
| 5275 | 1453 for (octave_idx_type i = 0; i < npts; i++) |
| 1948 | 1454 tmp_data[i*nr + j] = prow[i]; |
| 677 | 1455 } |
| 1456 | |
| 1948 | 1457 return retval; |
| 677 | 1458 } |
| 1459 | |
| 1460 ComplexMatrix | |
| 1461 ComplexMatrix::ifourier2d (void) const | |
| 1462 { | |
| 1948 | 1463 ComplexMatrix retval; |
| 1464 | |
| 5275 | 1465 octave_idx_type nr = rows (); |
| 1466 octave_idx_type nc = cols (); | |
| 1467 | |
| 1468 octave_idx_type npts, nsamples; | |
| 1948 | 1469 |
| 677 | 1470 if (nr == 1 || nc == 1) |
| 1471 { | |
| 1472 npts = nr > nc ? nr : nc; | |
| 1473 nsamples = 1; | |
| 1474 } | |
| 1475 else | |
| 1476 { | |
| 1477 npts = nr; | |
| 1478 nsamples = nc; | |
| 1479 } | |
| 1480 | |
| 5275 | 1481 octave_idx_type nn = 4*npts+15; |
| 1948 | 1482 |
| 1483 Array<Complex> wsave (nn); | |
| 1484 Complex *pwsave = wsave.fortran_vec (); | |
| 1485 | |
| 1486 retval = *this; | |
| 1487 Complex *tmp_data = retval.fortran_vec (); | |
| 1488 | |
|
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|
1489 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
| 677 | 1490 |
| 5275 | 1491 for (octave_idx_type j = 0; j < nsamples; j++) |
| 4153 | 1492 { |
| 1493 OCTAVE_QUIT; | |
| 1494 | |
|
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|
1495 F77_FUNC (zfftb, ZFFTB) (npts, &tmp_data[npts*j], pwsave); |
| 4153 | 1496 } |
| 677 | 1497 |
| 5275 | 1498 for (octave_idx_type j = 0; j < npts*nsamples; j++) |
| 3572 | 1499 tmp_data[j] = tmp_data[j] / static_cast<double> (npts); |
| 677 | 1500 |
| 1501 npts = nc; | |
| 1502 nsamples = nr; | |
| 1503 nn = 4*npts+15; | |
| 1948 | 1504 |
| 1505 wsave.resize (nn); | |
| 1506 pwsave = wsave.fortran_vec (); | |
| 1507 | |
| 4773 | 1508 Array<Complex> tmp (npts); |
| 1509 Complex *prow = tmp.fortran_vec (); | |
| 1948 | 1510 |
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1511 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
| 677 | 1512 |
| 5275 | 1513 for (octave_idx_type j = 0; j < nsamples; j++) |
| 677 | 1514 { |
| 4153 | 1515 OCTAVE_QUIT; |
| 1516 | |
| 5275 | 1517 for (octave_idx_type i = 0; i < npts; i++) |
| 1948 | 1518 prow[i] = tmp_data[i*nr + j]; |
| 1519 | |
|
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|
1520 F77_FUNC (zfftb, ZFFTB) (npts, prow, pwsave); |
| 677 | 1521 |
| 5275 | 1522 for (octave_idx_type i = 0; i < npts; i++) |
| 3572 | 1523 tmp_data[i*nr + j] = prow[i] / static_cast<double> (npts); |
| 677 | 1524 } |
| 1525 | |
| 1948 | 1526 return retval; |
| 677 | 1527 } |
| 1528 | |
| 3827 | 1529 #endif |
| 1530 | |
| 458 | 1531 ComplexDET |
| 1532 ComplexMatrix::determinant (void) const | |
| 1533 { | |
| 5275 | 1534 octave_idx_type info; |
| 7788 | 1535 double rcon; |
| 1536 return determinant (info, rcon, 0); | |
| 458 | 1537 } |
| 1538 | |
| 1539 ComplexDET | |
| 5275 | 1540 ComplexMatrix::determinant (octave_idx_type& info) const |
| 458 | 1541 { |
| 7788 | 1542 double rcon; |
| 1543 return determinant (info, rcon, 0); | |
| 458 | 1544 } |
| 1545 | |
| 1546 ComplexDET | |
| 7788 | 1547 ComplexMatrix::determinant (octave_idx_type& info, double& rcon, int calc_cond) const |
| 458 | 1548 { |
|
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|
1549 MatrixType mattype (*this); |
|
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|
1550 return determinant (mattype, info, rcon, calc_cond); |
|
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|
1551 } |
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|
1552 |
|
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1553 ComplexDET |
|
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|
1554 ComplexMatrix::determinant (MatrixType& mattype, |
|
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1555 octave_idx_type& info, double& rcon, int calc_cond) const |
|
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|
1556 { |
|
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|
1557 ComplexDET retval (1.0); |
| 458 | 1558 |
| 5275 | 1559 octave_idx_type nr = rows (); |
| 1560 octave_idx_type nc = cols (); | |
| 458 | 1561 |
|
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1562 if (nr != nc) |
|
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|
1563 (*current_liboctave_error_handler) ("matrix must be square"); |
| 458 | 1564 else |
| 1565 { | |
|
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|
1566 int typ = mattype.type (); |
|
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|
1567 |
|
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|
1568 if (typ == MatrixType::Unknown) |
|
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|
1569 typ = mattype.type (*this); |
|
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|
1570 |
|
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|
1571 if (typ == MatrixType::Lower || typ == MatrixType::Upper) |
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|
1572 { |
|
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|
1573 for (octave_idx_type i = 0; i < nc; i++) |
|
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1574 retval *= elem (i,i); |
|
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|
1575 } |
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1576 else if (typ == MatrixType::Hermitian) |
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|
1577 { |
|
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|
1578 ComplexMatrix atmp = *this; |
|
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1579 Complex *tmp_data = atmp.fortran_vec (); |
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|
1580 |
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|
1581 info = 0; |
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|
1582 double anorm = 0; |
|
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|
1583 if (calc_cond) anorm = xnorm (*this, 1); |
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|
1584 |
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|
1585 |
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|
1586 char job = 'L'; |
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1587 F77_XFCN (zpotrf, ZPOTRF, (F77_CONST_CHAR_ARG2 (&job, 1), nr, |
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|
1588 tmp_data, nr, info |
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|
1589 F77_CHAR_ARG_LEN (1))); |
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|
1590 |
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1591 if (info != 0) |
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|
1592 { |
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|
1593 rcon = 0.0; |
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1594 mattype.mark_as_unsymmetric (); |
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1595 typ = MatrixType::Full; |
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1596 } |
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1597 else |
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1598 { |
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|
1599 Array<Complex> z (2 * nc); |
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1600 Complex *pz = z.fortran_vec (); |
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1601 Array<double> rz (nc); |
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1602 double *prz = rz.fortran_vec (); |
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1603 |
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1604 F77_XFCN (zpocon, ZPOCON, (F77_CONST_CHAR_ARG2 (&job, 1), |
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1605 nr, tmp_data, nr, anorm, |
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1606 rcon, pz, prz, info |
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1607 F77_CHAR_ARG_LEN (1))); |
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|
1608 |
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1609 if (info != 0) |
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1610 rcon = 0.0; |
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1611 |
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1612 for (octave_idx_type i = 0; i < nc; i++) |
|
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1613 retval *= atmp (i,i); |
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1614 |
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1615 retval = retval.square (); |
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1616 } |
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1617 } |
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1618 else if (typ != MatrixType::Full) |
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1619 (*current_liboctave_error_handler) ("det: invalid dense matrix type"); |
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1620 |
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1621 if (typ == MatrixType::Full) |
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1622 { |
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1623 Array<octave_idx_type> ipvt (nr); |
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1624 octave_idx_type *pipvt = ipvt.fortran_vec (); |
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1625 |
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1626 ComplexMatrix atmp = *this; |
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1627 Complex *tmp_data = atmp.fortran_vec (); |
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1628 |
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1629 info = 0; |
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1630 |
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1631 // Calculate the norm of the matrix, for later use. |
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1632 double anorm = 0; |
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1633 if (calc_cond) anorm = xnorm (*this, 1); |
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1634 |
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1635 F77_XFCN (zgetrf, ZGETRF, (nr, nr, tmp_data, nr, pipvt, info)); |
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1636 |
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1637 // Throw-away extra info LAPACK gives so as to not change output. |
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1638 rcon = 0.0; |
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1639 if (info != 0) |
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1640 { |
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1641 info = -1; |
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1642 retval = ComplexDET (); |
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1643 } |
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1644 else |
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1645 { |
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1646 if (calc_cond) |
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1647 { |
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1648 // Now calc the condition number for non-singular matrix. |
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1649 char job = '1'; |
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1650 Array<Complex> z (2 * nc); |
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1651 Complex *pz = z.fortran_vec (); |
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1652 Array<double> rz (2 * nc); |
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1653 double *prz = rz.fortran_vec (); |
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1654 |
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1655 F77_XFCN (zgecon, ZGECON, (F77_CONST_CHAR_ARG2 (&job, 1), |
|
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1656 nc, tmp_data, nr, anorm, |
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1657 rcon, pz, prz, info |
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1658 F77_CHAR_ARG_LEN (1))); |
| 8335 | 1659 } |
|
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1660 |
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1661 if (info != 0) |
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1662 { |
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1663 info = -1; |
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1664 retval = ComplexDET (); |
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1665 } |
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1666 else |
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1667 { |
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1668 for (octave_idx_type i = 0; i < nc; i++) |
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1669 { |
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1670 Complex c = atmp(i,i); |
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1671 retval *= (ipvt(i) != (i+1)) ? -c : c; |
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1672 } |
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1673 } |
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1674 } |
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1675 } |
| 458 | 1676 } |
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1677 |
| 458 | 1678 return retval; |
| 1679 } | |
| 1680 | |
| 7788 | 1681 double |
| 1682 ComplexMatrix::rcond (void) const | |
| 1683 { | |
| 1684 MatrixType mattype (*this); | |
| 1685 return rcond (mattype); | |
| 1686 } | |
| 1687 | |
| 1688 double | |
| 1689 ComplexMatrix::rcond (MatrixType &mattype) const | |
| 1690 { | |
| 1691 double rcon; | |
| 1692 octave_idx_type nr = rows (); | |
| 1693 octave_idx_type nc = cols (); | |
| 1694 | |
| 1695 if (nr != nc) | |
| 1696 (*current_liboctave_error_handler) ("matrix must be square"); | |
| 1697 else if (nr == 0 || nc == 0) | |
| 1698 rcon = octave_Inf; | |
| 1699 else | |
| 1700 { | |
| 1701 int typ = mattype.type (); | |
| 1702 | |
| 1703 if (typ == MatrixType::Unknown) | |
| 1704 typ = mattype.type (*this); | |
| 1705 | |
| 1706 // Only calculate the condition number for LU/Cholesky | |
| 1707 if (typ == MatrixType::Upper) | |
| 1708 { | |
| 1709 const Complex *tmp_data = fortran_vec (); | |
| 1710 octave_idx_type info = 0; | |
| 1711 char norm = '1'; | |
| 1712 char uplo = 'U'; | |
| 1713 char dia = 'N'; | |
| 1714 | |
| 1715 Array<Complex> z (2 * nc); | |
| 1716 Complex *pz = z.fortran_vec (); | |
| 1717 Array<double> rz (nc); | |
| 1718 double *prz = rz.fortran_vec (); | |
| 1719 | |
| 1720 F77_XFCN (ztrcon, ZTRCON, (F77_CONST_CHAR_ARG2 (&norm, 1), | |
| 1721 F77_CONST_CHAR_ARG2 (&uplo, 1), | |
| 1722 F77_CONST_CHAR_ARG2 (&dia, 1), | |
| 1723 nr, tmp_data, nr, rcon, | |
| 1724 pz, prz, info | |
| 1725 F77_CHAR_ARG_LEN (1) | |
| 1726 F77_CHAR_ARG_LEN (1) | |
| 1727 F77_CHAR_ARG_LEN (1))); | |
| 1728 | |
| 1729 if (info != 0) | |
| 1730 rcon = 0; | |
| 1731 } | |
| 1732 else if (typ == MatrixType::Permuted_Upper) | |
| 1733 (*current_liboctave_error_handler) | |
| 1734 ("permuted triangular matrix not implemented"); | |
| 1735 else if (typ == MatrixType::Lower) | |
| 1736 { | |
| 1737 const Complex *tmp_data = fortran_vec (); | |
| 1738 octave_idx_type info = 0; | |
| 1739 char norm = '1'; | |
| 1740 char uplo = 'L'; | |
| 1741 char dia = 'N'; | |
| 1742 | |
| 1743 Array<Complex> z (2 * nc); | |
| 1744 Complex *pz = z.fortran_vec (); | |
| 1745 Array<double> rz (nc); | |
| 1746 double *prz = rz.fortran_vec (); | |
| 1747 | |
| 1748 F77_XFCN (ztrcon, ZTRCON, (F77_CONST_CHAR_ARG2 (&norm, 1), | |
| 1749 F77_CONST_CHAR_ARG2 (&uplo, 1), | |
| 1750 F77_CONST_CHAR_ARG2 (&dia, 1), | |
| 1751 nr, tmp_data, nr, rcon, | |
| 1752 pz, prz, info | |
| 1753 F77_CHAR_ARG_LEN (1) | |
| 1754 F77_CHAR_ARG_LEN (1) | |
| 1755 F77_CHAR_ARG_LEN (1))); | |
| 1756 | |
| 1757 if (info != 0) | |
| 1758 rcon = 0.0; | |
| 1759 } | |
| 1760 else if (typ == MatrixType::Permuted_Lower) | |
| 1761 (*current_liboctave_error_handler) | |
| 1762 ("permuted triangular matrix not implemented"); | |
| 1763 else if (typ == MatrixType::Full || typ == MatrixType::Hermitian) | |
| 1764 { | |
| 1765 double anorm = -1.0; | |
| 1766 ComplexMatrix atmp = *this; | |
| 1767 Complex *tmp_data = atmp.fortran_vec (); | |
| 1768 | |
| 1769 if (typ == MatrixType::Hermitian) | |
| 1770 { | |
| 1771 octave_idx_type info = 0; | |
| 1772 char job = 'L'; | |
| 1773 anorm = atmp.abs().sum(). | |
| 1774 row(static_cast<octave_idx_type>(0)).max(); | |
| 1775 | |
| 1776 F77_XFCN (zpotrf, ZPOTRF, (F77_CONST_CHAR_ARG2 (&job, 1), nr, | |
| 1777 tmp_data, nr, info | |
| 1778 F77_CHAR_ARG_LEN (1))); | |
| 1779 | |
| 1780 if (info != 0) | |
| 1781 { | |
| 1782 rcon = 0.0; | |
| 1783 | |
| 1784 mattype.mark_as_unsymmetric (); | |
| 1785 typ = MatrixType::Full; | |
| 1786 } | |
| 1787 else | |
| 1788 { | |
| 1789 Array<Complex> z (2 * nc); | |
| 1790 Complex *pz = z.fortran_vec (); | |
| 1791 Array<double> rz (nc); | |
| 1792 double *prz = rz.fortran_vec (); | |
| 1793 | |
| 1794 F77_XFCN (zpocon, ZPOCON, (F77_CONST_CHAR_ARG2 (&job, 1), | |
| 1795 nr, tmp_data, nr, anorm, | |
| 1796 rcon, pz, prz, info | |
| 1797 F77_CHAR_ARG_LEN (1))); | |
| 1798 | |
| 1799 if (info != 0) | |
| 1800 rcon = 0.0; | |
| 1801 } | |
| 1802 } | |
| 1803 | |
| 1804 | |
| 1805 if (typ == MatrixType::Full) | |
| 1806 { | |
| 1807 octave_idx_type info = 0; | |
| 1808 | |
| 1809 Array<octave_idx_type> ipvt (nr); | |
| 1810 octave_idx_type *pipvt = ipvt.fortran_vec (); | |
| 1811 | |
| 1812 if(anorm < 0.) | |
| 1813 anorm = atmp.abs().sum(). | |
| 1814 row(static_cast<octave_idx_type>(0)).max(); | |
| 1815 | |
| 1816 Array<Complex> z (2 * nc); | |
| 1817 Complex *pz = z.fortran_vec (); | |
| 1818 Array<double> rz (2 * nc); | |
| 1819 double *prz = rz.fortran_vec (); | |
| 1820 | |
| 1821 F77_XFCN (zgetrf, ZGETRF, (nr, nr, tmp_data, nr, pipvt, info)); | |
| 1822 | |
| 1823 if (info != 0) | |
| 1824 { | |
| 1825 rcon = 0.0; | |
| 1826 mattype.mark_as_rectangular (); | |
| 1827 } | |
| 1828 else | |
| 1829 { | |
| 1830 char job = '1'; | |
| 1831 F77_XFCN (zgecon, ZGECON, (F77_CONST_CHAR_ARG2 (&job, 1), | |
| 1832 nc, tmp_data, nr, anorm, | |
| 1833 rcon, pz, prz, info | |
| 1834 F77_CHAR_ARG_LEN (1))); | |
| 1835 | |
| 1836 if (info != 0) | |
| 1837 rcon = 0.0; | |
| 1838 } | |
| 1839 } | |
| 1840 } | |
| 1841 else | |
| 1842 rcon = 0.0; | |
| 1843 } | |
| 1844 | |
| 1845 return rcon; | |
| 1846 } | |
| 1847 | |
| 458 | 1848 ComplexMatrix |
| 5785 | 1849 ComplexMatrix::utsolve (MatrixType &mattype, const ComplexMatrix& b, |
| 7788 | 1850 octave_idx_type& info, double& rcon, |
| 5785 | 1851 solve_singularity_handler sing_handler, |
| 1852 bool calc_cond) const | |
| 1853 { | |
| 1854 ComplexMatrix retval; | |
| 1855 | |
| 1856 octave_idx_type nr = rows (); | |
| 1857 octave_idx_type nc = cols (); | |
| 1858 | |
| 6924 | 1859 if (nr != b.rows ()) |
| 5785 | 1860 (*current_liboctave_error_handler) |
| 1861 ("matrix dimension mismatch solution of linear equations"); | |
| 6924 | 1862 else if (nr == 0 || nc == 0 || b.cols () == 0) |
| 1863 retval = ComplexMatrix (nc, b.cols (), Complex (0.0, 0.0)); | |
| 5785 | 1864 else |
| 1865 { | |
| 1866 volatile int typ = mattype.type (); | |
| 1867 | |
| 1868 if (typ == MatrixType::Permuted_Upper || | |
| 1869 typ == MatrixType::Upper) | |
| 1870 { | |
| 1871 octave_idx_type b_nc = b.cols (); | |
| 7788 | 1872 rcon = 1.; |
| 5785 | 1873 info = 0; |
| 1874 | |
| 1875 if (typ == MatrixType::Permuted_Upper) | |
| 1876 { | |
| 1877 (*current_liboctave_error_handler) | |
| 6390 | 1878 ("permuted triangular matrix not implemented"); |
| 5785 | 1879 } |
| 1880 else | |
| 1881 { | |
| 1882 const Complex *tmp_data = fortran_vec (); | |
| 1883 | |
| 1884 if (calc_cond) | |
| 1885 { | |
| 1886 char norm = '1'; | |
| 1887 char uplo = 'U'; | |
| 1888 char dia = 'N'; | |
| 1889 | |
| 1890 Array<Complex> z (2 * nc); | |
| 1891 Complex *pz = z.fortran_vec (); | |
| 1892 Array<double> rz (nc); | |
| 1893 double *prz = rz.fortran_vec (); | |
| 1894 | |
| 1895 F77_XFCN (ztrcon, ZTRCON, (F77_CONST_CHAR_ARG2 (&norm, 1), | |
| 1896 F77_CONST_CHAR_ARG2 (&uplo, 1), | |
| 1897 F77_CONST_CHAR_ARG2 (&dia, 1), | |
| 7788 | 1898 nr, tmp_data, nr, rcon, |
| 5785 | 1899 pz, prz, info |
| 1900 F77_CHAR_ARG_LEN (1) | |
| 1901 F77_CHAR_ARG_LEN (1) | |
| 1902 F77_CHAR_ARG_LEN (1))); | |
| 1903 | |
| 1904 if (info != 0) | |
| 1905 info = -2; | |
| 1906 | |
| 7788 | 1907 volatile double rcond_plus_one = rcon + 1.0; |
| 1908 | |
| 1909 if (rcond_plus_one == 1.0 || xisnan (rcon)) | |
| 5785 | 1910 { |
| 1911 info = -2; | |
| 1912 | |
| 1913 if (sing_handler) | |
| 7788 | 1914 sing_handler (rcon); |
| 5785 | 1915 else |
| 1916 (*current_liboctave_error_handler) | |
| 1917 ("matrix singular to machine precision, rcond = %g", | |
| 7788 | 1918 rcon); |
| 5785 | 1919 } |
| 1920 } | |
| 1921 | |
| 1922 if (info == 0) | |
| 1923 { | |
| 1924 retval = b; | |
| 1925 Complex *result = retval.fortran_vec (); | |
| 1926 | |
| 1927 char uplo = 'U'; | |
| 1928 char trans = 'N'; | |
| 1929 char dia = 'N'; | |
| 1930 | |
| 1931 F77_XFCN (ztrtrs, ZTRTRS, (F77_CONST_CHAR_ARG2 (&uplo, 1), | |
| 1932 F77_CONST_CHAR_ARG2 (&trans, 1), | |
| 1933 F77_CONST_CHAR_ARG2 (&dia, 1), | |
| 1934 nr, b_nc, tmp_data, nr, | |
| 1935 result, nr, info | |
| 1936 F77_CHAR_ARG_LEN (1) | |
| 1937 F77_CHAR_ARG_LEN (1) | |
| 1938 F77_CHAR_ARG_LEN (1))); | |
| 1939 } | |
| 1940 } | |
| 1941 } | |
| 1942 else | |
| 1943 (*current_liboctave_error_handler) ("incorrect matrix type"); | |
| 1944 } | |
| 1945 | |
| 1946 return retval; | |
| 1947 } | |
| 1948 | |
| 1949 ComplexMatrix | |
| 1950 ComplexMatrix::ltsolve (MatrixType &mattype, const ComplexMatrix& b, | |
| 7788 | 1951 octave_idx_type& info, double& rcon, |
| 5785 | 1952 solve_singularity_handler sing_handler, |
| 1953 bool calc_cond) const | |
| 1954 { | |
| 1955 ComplexMatrix retval; | |
| 1956 | |
| 1957 octave_idx_type nr = rows (); | |
| 1958 octave_idx_type nc = cols (); | |
| 1959 | |
| 6924 | 1960 if (nr != b.rows ()) |
| 5785 | 1961 (*current_liboctave_error_handler) |
| 1962 ("matrix dimension mismatch solution of linear equations"); | |
| 6924 | 1963 else if (nr == 0 || nc == 0 || b.cols () == 0) |
| 1964 retval = ComplexMatrix (nc, b.cols (), Complex (0.0, 0.0)); | |
| 5785 | 1965 else |
| 1966 { | |
| 1967 volatile int typ = mattype.type (); | |
| 1968 | |
| 1969 if (typ == MatrixType::Permuted_Lower || | |
| 1970 typ == MatrixType::Lower) | |
| 1971 { | |
| 1972 octave_idx_type b_nc = b.cols (); | |
| 7788 | 1973 rcon = 1.; |
| 5785 | 1974 info = 0; |
| 1975 | |
| 1976 if (typ == MatrixType::Permuted_Lower) | |
| 1977 { | |
| 1978 (*current_liboctave_error_handler) | |
| 6390 | 1979 ("permuted triangular matrix not implemented"); |
| 5785 | 1980 } |
| 1981 else | |
| 1982 { | |
| 1983 const Complex *tmp_data = fortran_vec (); | |
| 1984 | |
| 1985 if (calc_cond) | |
| 1986 { | |
| 1987 char norm = '1'; | |
| 1988 char uplo = 'L'; | |
| 1989 char dia = 'N'; | |
| 1990 | |
| 1991 Array<Complex> z (2 * nc); | |
| 1992 Complex *pz = z.fortran_vec (); | |
| 1993 Array<double> rz (nc); | |
| 1994 double *prz = rz.fortran_vec (); | |
| 1995 | |
| 1996 F77_XFCN (ztrcon, ZTRCON, (F77_CONST_CHAR_ARG2 (&norm, 1), | |
| 1997 F77_CONST_CHAR_ARG2 (&uplo, 1), | |
| 1998 F77_CONST_CHAR_ARG2 (&dia, 1), | |
| 7788 | 1999 nr, tmp_data, nr, rcon, |
| 5785 | 2000 pz, prz, info |
| 2001 F77_CHAR_ARG_LEN (1) | |
| 2002 F77_CHAR_ARG_LEN (1) | |
| 2003 F77_CHAR_ARG_LEN (1))); | |
| 2004 | |
| 2005 if (info != 0) | |
| 2006 info = -2; | |
| 2007 | |
| 7788 | 2008 volatile double rcond_plus_one = rcon + 1.0; |
| 2009 | |
| 2010 if (rcond_plus_one == 1.0 || xisnan (rcon)) | |
| 5785 | 2011 { |
| 2012 info = -2; | |
| 2013 | |
| 2014 if (sing_handler) | |
| 7788 | 2015 sing_handler (rcon); |
| 5785 | 2016 else |
| 2017 (*current_liboctave_error_handler) | |
| 2018 ("matrix singular to machine precision, rcond = %g", | |
| 7788 | 2019 rcon); |
| 5785 | 2020 } |
| 2021 } | |
| 2022 | |
| 2023 if (info == 0) | |
| 2024 { | |
| 2025 retval = b; | |
| 2026 Complex *result = retval.fortran_vec (); | |
| 2027 | |
| 2028 char uplo = 'L'; | |
| 2029 char trans = 'N'; | |
| 2030 char dia = 'N'; | |
| 2031 | |
| 2032 F77_XFCN (ztrtrs, ZTRTRS, (F77_CONST_CHAR_ARG2 (&uplo, 1), | |
| 2033 F77_CONST_CHAR_ARG2 (&trans, 1), | |
| 2034 F77_CONST_CHAR_ARG2 (&dia, 1), | |
| 2035 nr, b_nc, tmp_data, nr, | |
| 2036 result, nr, info | |
| 2037 F77_CHAR_ARG_LEN (1) | |
| 2038 F77_CHAR_ARG_LEN (1) | |
| 2039 F77_CHAR_ARG_LEN (1))); | |
| 2040 } | |
| 2041 } | |
| 2042 } | |
| 2043 else | |
| 2044 (*current_liboctave_error_handler) ("incorrect matrix type"); | |
| 2045 } | |
| 2046 | |
| 2047 return retval; | |
| 2048 } | |
| 2049 | |
| 2050 ComplexMatrix | |
| 2051 ComplexMatrix::fsolve (MatrixType &mattype, const ComplexMatrix& b, | |
| 7788 | 2052 octave_idx_type& info, double& rcon, |
| 5785 | 2053 solve_singularity_handler sing_handler, |
| 2054 bool calc_cond) const | |
| 2055 { | |
| 2056 ComplexMatrix retval; | |
| 2057 | |
| 2058 octave_idx_type nr = rows (); | |
| 2059 octave_idx_type nc = cols (); | |
| 2060 | |
| 6924 | 2061 |
| 2062 if (nr != nc || nr != b.rows ()) | |
| 5785 | 2063 (*current_liboctave_error_handler) |
| 6924 | 2064 ("matrix dimension mismatch solution of linear equations"); |
| 2065 else if (nr == 0 || b.cols () == 0) | |
| 2066 retval = ComplexMatrix (nc, b.cols (), Complex (0.0, 0.0)); | |
| 5785 | 2067 else |
| 2068 { | |
| 2069 volatile int typ = mattype.type (); | |
| 2070 | |
| 2071 // Calculate the norm of the matrix, for later use. | |
| 2072 double anorm = -1.; | |
| 2073 | |
| 2074 if (typ == MatrixType::Hermitian) | |
| 2075 { | |
| 2076 info = 0; | |
| 2077 char job = 'L'; | |
| 2078 ComplexMatrix atmp = *this; | |
| 2079 Complex *tmp_data = atmp.fortran_vec (); | |
| 2080 anorm = atmp.abs().sum().row(static_cast<octave_idx_type>(0)).max(); | |
| 2081 | |
| 2082 F77_XFCN (zpotrf, ZPOTRF, (F77_CONST_CHAR_ARG2 (&job, 1), nr, | |
| 2083 tmp_data, nr, info | |
| 2084 F77_CHAR_ARG_LEN (1))); | |
| 2085 | |
|
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|
2086 // Throw-away extra info LAPACK gives so as to not change output. |
| 7788 | 2087 rcon = 0.0; |
|
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|
2088 if (info != 0) |
|
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diff
changeset
|
2089 { |
|
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|
2090 info = -2; |
|
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changeset
|
2091 |
|
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|
2092 mattype.mark_as_unsymmetric (); |
|
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|
2093 typ = MatrixType::Full; |
|
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|
2094 } |
|
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diff
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|
2095 else |
| 5785 | 2096 { |
|
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29980c6b8604
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parents:
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diff
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|
2097 if (calc_cond) |
| 5785 | 2098 { |
|
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29980c6b8604
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parents:
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diff
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|
2099 Array<Complex> z (2 * nc); |
|
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|
2100 Complex *pz = z.fortran_vec (); |
|
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diff
changeset
|
2101 Array<double> rz (nc); |
|
29980c6b8604
don't check f77_exception_encountered
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diff
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|
2102 double *prz = rz.fortran_vec (); |
|
29980c6b8604
don't check f77_exception_encountered
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diff
changeset
|
2103 |
|
29980c6b8604
don't check f77_exception_encountered
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diff
changeset
|
2104 F77_XFCN (zpocon, ZPOCON, (F77_CONST_CHAR_ARG2 (&job, 1), |
|
29980c6b8604
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diff
changeset
|
2105 nr, tmp_data, nr, anorm, |
| 7788 | 2106 rcon, pz, prz, info |
|
7482
29980c6b8604
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diff
changeset
|
2107 F77_CHAR_ARG_LEN (1))); |
|
29980c6b8604
don't check f77_exception_encountered
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diff
changeset
|
2108 |
|
29980c6b8604
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diff
changeset
|
2109 if (info != 0) |
|
29980c6b8604
don't check f77_exception_encountered
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diff
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|
2110 info = -2; |
|
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diff
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|
2111 |
| 7788 | 2112 volatile double rcond_plus_one = rcon + 1.0; |
| 2113 | |
| 2114 if (rcond_plus_one == 1.0 || xisnan (rcon)) | |
|
7482
29980c6b8604
don't check f77_exception_encountered
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parents:
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diff
changeset
|
2115 { |
|
29980c6b8604
don't check f77_exception_encountered
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parents:
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diff
changeset
|
2116 info = -2; |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
2117 |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
2118 if (sing_handler) |
| 7788 | 2119 sing_handler (rcon); |
|
7482
29980c6b8604
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parents:
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diff
changeset
|
2120 else |
|
29980c6b8604
don't check f77_exception_encountered
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parents:
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diff
changeset
|
2121 (*current_liboctave_error_handler) |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
2122 ("matrix singular to machine precision, rcond = %g", |
| 7788 | 2123 rcon); |
|
7482
29980c6b8604
don't check f77_exception_encountered
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diff
changeset
|
2124 } |
|
29980c6b8604
don't check f77_exception_encountered
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parents:
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diff
changeset
|
2125 } |
|
29980c6b8604
don't check f77_exception_encountered
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parents:
7478
diff
changeset
|
2126 |
|
29980c6b8604
don't check f77_exception_encountered
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diff
changeset
|
2127 if (info == 0) |
|
29980c6b8604
don't check f77_exception_encountered
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diff
changeset
|
2128 { |
|
29980c6b8604
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diff
changeset
|
2129 retval = b; |
|
29980c6b8604
don't check f77_exception_encountered
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parents:
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diff
changeset
|
2130 Complex *result = retval.fortran_vec (); |
|
29980c6b8604
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diff
changeset
|
2131 |
|
29980c6b8604
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diff
changeset
|
2132 octave_idx_type b_nc = b.cols (); |
|
29980c6b8604
don't check f77_exception_encountered
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diff
changeset
|
2133 |
|
29980c6b8604
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parents:
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diff
changeset
|
2134 F77_XFCN (zpotrs, ZPOTRS, (F77_CONST_CHAR_ARG2 (&job, 1), |
|
29980c6b8604
don't check f77_exception_encountered
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diff
changeset
|
2135 nr, b_nc, tmp_data, nr, |
|
29980c6b8604
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diff
changeset
|
2136 result, b.rows(), info |
|
29980c6b8604
don't check f77_exception_encountered
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diff
changeset
|
2137 F77_CHAR_ARG_LEN (1))); |
|
29980c6b8604
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diff
changeset
|
2138 } |
|
29980c6b8604
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diff
changeset
|
2139 else |
|
29980c6b8604
don't check f77_exception_encountered
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diff
changeset
|
2140 { |
| 5785 | 2141 mattype.mark_as_unsymmetric (); |
| 2142 typ = MatrixType::Full; | |
| 2143 } | |
| 2144 } | |
| 2145 } | |
| 2146 | |
| 2147 if (typ == MatrixType::Full) | |
| 2148 { | |
| 2149 info = 0; | |
| 2150 | |
| 2151 Array<octave_idx_type> ipvt (nr); | |
| 2152 octave_idx_type *pipvt = ipvt.fortran_vec (); | |
| 2153 | |
| 2154 ComplexMatrix atmp = *this; | |
| 2155 Complex *tmp_data = atmp.fortran_vec (); | |
| 2156 | |
| 2157 Array<Complex> z (2 * nc); | |
| 2158 Complex *pz = z.fortran_vec (); | |
| 2159 Array<double> rz (2 * nc); | |
| 2160 double *prz = rz.fortran_vec (); | |
| 2161 | |
| 2162 // Calculate the norm of the matrix, for later use. | |
| 2163 if (anorm < 0.) | |
| 2164 anorm = atmp.abs().sum().row(static_cast<octave_idx_type>(0)).max(); | |
| 2165 | |
| 2166 F77_XFCN (zgetrf, ZGETRF, (nr, nr, tmp_data, nr, pipvt, info)); | |
| 2167 | |
|
7482
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changeset
|
2168 // Throw-away extra info LAPACK gives so as to not change output. |
| 7788 | 2169 rcon = 0.0; |
|
7482
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|
2170 if (info != 0) |
|
29980c6b8604
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diff
changeset
|
2171 { |
|
29980c6b8604
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diff
changeset
|
2172 info = -2; |
|
29980c6b8604
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diff
changeset
|
2173 |
|
29980c6b8604
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diff
changeset
|
2174 if (sing_handler) |
| 7788 | 2175 sing_handler (rcon); |
|
7482
29980c6b8604
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diff
changeset
|
2176 else |
|
29980c6b8604
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diff
changeset
|
2177 (*current_liboctave_error_handler) |
|
29980c6b8604
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diff
changeset
|
2178 ("matrix singular to machine precision"); |
|
29980c6b8604
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diff
changeset
|
2179 |
|
29980c6b8604
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diff
changeset
|
2180 mattype.mark_as_rectangular (); |
|
29980c6b8604
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changeset
|
2181 } |
|
29980c6b8604
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diff
changeset
|
2182 else |
| 5785 | 2183 { |
|
7482
29980c6b8604
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diff
changeset
|
2184 if (calc_cond) |
| 5785 | 2185 { |
|
7482
29980c6b8604
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diff
changeset
|
2186 // Now calculate the condition number for |
|
29980c6b8604
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diff
changeset
|
2187 // non-singular matrix. |
|
29980c6b8604
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diff
changeset
|
2188 char job = '1'; |
|
29980c6b8604
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diff
changeset
|
2189 F77_XFCN (zgecon, ZGECON, (F77_CONST_CHAR_ARG2 (&job, 1), |
|
29980c6b8604
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diff
changeset
|
2190 nc, tmp_data, nr, anorm, |
| 7788 | 2191 rcon, pz, prz, info |
|
7482
29980c6b8604
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diff
changeset
|
2192 F77_CHAR_ARG_LEN (1))); |
|
29980c6b8604
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parents:
7478
diff
changeset
|
2193 |
|
29980c6b8604
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diff
changeset
|
2194 if (info != 0) |
|
29980c6b8604
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diff
changeset
|
2195 info = -2; |
|
29980c6b8604
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diff
changeset
|
2196 |
| 7788 | 2197 volatile double rcond_plus_one = rcon + 1.0; |
| 2198 | |
| 2199 if (rcond_plus_one == 1.0 || xisnan (rcon)) | |
| 5785 | 2200 { |
|
7482
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2201 info = -2; |
|
29980c6b8604
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John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2202 |
|
29980c6b8604
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John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2203 if (sing_handler) |
| 7788 | 2204 sing_handler (rcon); |
|
7482
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2205 else |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
2206 (*current_liboctave_error_handler) |
|
29980c6b8604
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John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2207 ("matrix singular to machine precision, rcond = %g", |
| 7788 | 2208 rcon); |
| 5785 | 2209 } |
| 2210 } | |
|
7482
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|
2211 |
|
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|
2212 if (info == 0) |
|
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|
2213 { |
|
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|
2214 retval = b; |
|
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changeset
|
2215 Complex *result = retval.fortran_vec (); |
|
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changeset
|
2216 |
|
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changeset
|
2217 octave_idx_type b_nc = b.cols (); |
|
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changeset
|
2218 |
|
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|
2219 char job = 'N'; |
|
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changeset
|
2220 F77_XFCN (zgetrs, ZGETRS, (F77_CONST_CHAR_ARG2 (&job, 1), |
|
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changeset
|
2221 nr, b_nc, tmp_data, nr, |
|
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changeset
|
2222 pipvt, result, b.rows(), info |
|
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|
2223 F77_CHAR_ARG_LEN (1))); |
|
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|
2224 } |
|
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|
2225 else |
|
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changeset
|
2226 mattype.mark_as_rectangular (); |
| 5785 | 2227 } |
| 2228 } | |
| 2229 } | |
| 2230 | |
| 2231 return retval; | |
| 2232 } | |
| 2233 | |
| 2234 ComplexMatrix | |
| 2235 ComplexMatrix::solve (MatrixType &typ, const Matrix& b) const | |
| 2236 { | |
| 2237 octave_idx_type info; | |
| 7788 | 2238 double rcon; |
| 2239 return solve (typ, b, info, rcon, 0); | |
| 5785 | 2240 } |
| 2241 | |
| 2242 ComplexMatrix | |
| 2243 ComplexMatrix::solve (MatrixType &typ, const Matrix& b, | |
| 2244 octave_idx_type& info) const | |
| 2245 { | |
| 7788 | 2246 double rcon; |
| 2247 return solve (typ, b, info, rcon, 0); | |
| 5785 | 2248 } |
| 2249 | |
| 2250 ComplexMatrix | |
| 2251 ComplexMatrix::solve (MatrixType &typ, const Matrix& b, octave_idx_type& info, | |
| 7788 | 2252 double& rcon) const |
| 5785 | 2253 { |
| 7788 | 2254 return solve (typ, b, info, rcon, 0); |
| 5785 | 2255 } |
| 2256 | |
| 2257 ComplexMatrix | |
| 2258 ComplexMatrix::solve (MatrixType &typ, const Matrix& b, octave_idx_type& info, | |
| 7788 | 2259 double& rcon, solve_singularity_handler sing_handler, |
| 5785 | 2260 bool singular_fallback) const |
| 2261 { | |
| 2262 ComplexMatrix tmp (b); | |
| 7788 | 2263 return solve (typ, tmp, info, rcon, sing_handler, singular_fallback); |
| 5785 | 2264 } |
| 2265 | |
| 2266 ComplexMatrix | |
| 2267 ComplexMatrix::solve (MatrixType &typ, const ComplexMatrix& b) const | |
| 2268 { | |
| 2269 octave_idx_type info; | |
| 7788 | 2270 double rcon; |
| 2271 return solve (typ, b, info, rcon, 0); | |
| 5785 | 2272 } |
| 2273 | |
| 2274 ComplexMatrix | |
| 2275 ComplexMatrix::solve (MatrixType &typ, const ComplexMatrix& b, | |
| 2276 octave_idx_type& info) const | |
| 2277 { | |
| 7788 | 2278 double rcon; |
| 2279 return solve (typ, b, info, rcon, 0); | |
| 5785 | 2280 } |
| 2281 | |
| 2282 ComplexMatrix | |
| 2283 ComplexMatrix::solve (MatrixType &typ, const ComplexMatrix& b, | |
| 7788 | 2284 octave_idx_type& info, double& rcon) const |
| 5785 | 2285 { |
| 7788 | 2286 return solve (typ, b, info, rcon, 0); |
| 5785 | 2287 } |
| 2288 | |
| 2289 ComplexMatrix | |
| 2290 ComplexMatrix::solve (MatrixType &mattype, const ComplexMatrix& b, | |
| 7788 | 2291 octave_idx_type& info, double& rcon, |
| 5785 | 2292 solve_singularity_handler sing_handler, |
| 2293 bool singular_fallback) const | |
| 2294 { | |
| 2295 ComplexMatrix retval; | |
| 2296 int typ = mattype.type (); | |
| 2297 | |
| 2298 if (typ == MatrixType::Unknown) | |
| 2299 typ = mattype.type (*this); | |
| 2300 | |
| 2301 // Only calculate the condition number for LU/Cholesky | |
| 2302 if (typ == MatrixType::Upper || typ == MatrixType::Permuted_Upper) | |
| 7788 | 2303 retval = utsolve (mattype, b, info, rcon, sing_handler, false); |
| 5785 | 2304 else if (typ == MatrixType::Lower || typ == MatrixType::Permuted_Lower) |
| 7788 | 2305 retval = ltsolve (mattype, b, info, rcon, sing_handler, false); |
| 5785 | 2306 else if (typ == MatrixType::Full || typ == MatrixType::Hermitian) |
| 7788 | 2307 retval = fsolve (mattype, b, info, rcon, sing_handler, true); |
| 5785 | 2308 else if (typ != MatrixType::Rectangular) |
| 2309 { | |
| 2310 (*current_liboctave_error_handler) ("unknown matrix type"); | |
| 2311 return ComplexMatrix (); | |
| 2312 } | |
| 2313 | |
| 2314 // Rectangular or one of the above solvers flags a singular matrix | |
| 2315 if (singular_fallback && mattype.type () == MatrixType::Rectangular) | |
| 2316 { | |
| 2317 octave_idx_type rank; | |
| 7788 | 2318 retval = lssolve (b, info, rank, rcon); |
| 5785 | 2319 } |
| 2320 | |
| 2321 return retval; | |
| 2322 } | |
| 2323 | |
| 2324 ComplexColumnVector | |
| 2325 ComplexMatrix::solve (MatrixType &typ, const ColumnVector& b) const | |
| 2326 { | |
| 2327 octave_idx_type info; | |
| 7788 | 2328 double rcon; |
| 2329 return solve (typ, ComplexColumnVector (b), info, rcon, 0); | |
| 5785 | 2330 } |
| 2331 | |
| 2332 ComplexColumnVector | |
| 2333 ComplexMatrix::solve (MatrixType &typ, const ColumnVector& b, | |
| 2334 octave_idx_type& info) const | |
| 2335 { | |
| 7788 | 2336 double rcon; |
| 2337 return solve (typ, ComplexColumnVector (b), info, rcon, 0); | |
| 5785 | 2338 } |
| 2339 | |
| 2340 ComplexColumnVector | |
| 2341 ComplexMatrix::solve (MatrixType &typ, const ColumnVector& b, | |
| 7788 | 2342 octave_idx_type& info, double& rcon) const |
| 5785 | 2343 { |
| 7788 | 2344 return solve (typ, ComplexColumnVector (b), info, rcon, 0); |
| 5785 | 2345 } |
| 2346 | |
| 2347 ComplexColumnVector | |
| 2348 ComplexMatrix::solve (MatrixType &typ, const ColumnVector& b, | |
| 7788 | 2349 octave_idx_type& info, double& rcon, |
| 5785 | 2350 solve_singularity_handler sing_handler) const |
| 2351 { | |
| 7788 | 2352 return solve (typ, ComplexColumnVector (b), info, rcon, sing_handler); |
| 5785 | 2353 } |
| 2354 | |
| 2355 ComplexColumnVector | |
| 2356 ComplexMatrix::solve (MatrixType &typ, const ComplexColumnVector& b) const | |
| 2357 { | |
| 2358 octave_idx_type info; | |
| 7788 | 2359 double rcon; |
| 2360 return solve (typ, b, info, rcon, 0); | |
| 5785 | 2361 } |
| 2362 | |
| 2363 ComplexColumnVector | |
| 2364 ComplexMatrix::solve (MatrixType &typ, const ComplexColumnVector& b, | |
| 2365 octave_idx_type& info) const | |
| 2366 { | |
| 7788 | 2367 double rcon; |
| 2368 return solve (typ, b, info, rcon, 0); | |
| 5785 | 2369 } |
| 2370 | |
| 2371 ComplexColumnVector | |
| 2372 ComplexMatrix::solve (MatrixType &typ, const ComplexColumnVector& b, | |
| 7788 | 2373 octave_idx_type& info, double& rcon) const |
| 5785 | 2374 { |
| 7788 | 2375 return solve (typ, b, info, rcon, 0); |
| 5785 | 2376 } |
| 2377 | |
| 2378 ComplexColumnVector | |
| 2379 ComplexMatrix::solve (MatrixType &typ, const ComplexColumnVector& b, | |
| 7788 | 2380 octave_idx_type& info, double& rcon, |
| 5785 | 2381 solve_singularity_handler sing_handler) const |
| 2382 { | |
| 2383 | |
| 2384 ComplexMatrix tmp (b); | |
| 7788 | 2385 return solve (typ, tmp, info, rcon, sing_handler).column(static_cast<octave_idx_type> (0)); |
| 5785 | 2386 } |
| 2387 | |
| 2388 ComplexMatrix | |
| 458 | 2389 ComplexMatrix::solve (const Matrix& b) const |
| 2390 { | |
| 5275 | 2391 octave_idx_type info; |
| 7788 | 2392 double rcon; |
| 2393 return solve (b, info, rcon, 0); | |
| 458 | 2394 } |
| 2395 | |
| 2396 ComplexMatrix | |
| 5275 | 2397 ComplexMatrix::solve (const Matrix& b, octave_idx_type& info) const |
| 458 | 2398 { |
| 7788 | 2399 double rcon; |
| 2400 return solve (b, info, rcon, 0); | |
| 458 | 2401 } |
| 2402 | |
| 2403 ComplexMatrix | |
| 7788 | 2404 ComplexMatrix::solve (const Matrix& b, octave_idx_type& info, double& rcon) const |
| 458 | 2405 { |
| 7788 | 2406 return solve (b, info, rcon, 0); |
| 3480 | 2407 } |
| 2408 | |
| 2409 ComplexMatrix | |
| 7788 | 2410 ComplexMatrix::solve (const Matrix& b, octave_idx_type& info, double& rcon, |
| 3480 | 2411 solve_singularity_handler sing_handler) const |
| 2412 { | |
| 458 | 2413 ComplexMatrix tmp (b); |
| 7788 | 2414 return solve (tmp, info, rcon, sing_handler); |
| 458 | 2415 } |
| 2416 | |
| 2417 ComplexMatrix | |
| 2418 ComplexMatrix::solve (const ComplexMatrix& b) const | |
| 2419 { | |
| 5275 | 2420 octave_idx_type info; |
| 7788 | 2421 double rcon; |
| 2422 return solve (b, info, rcon, 0); | |
| 458 | 2423 } |
| 2424 | |
| 2425 ComplexMatrix | |
| 5275 | 2426 ComplexMatrix::solve (const ComplexMatrix& b, octave_idx_type& info) const |
| 458 | 2427 { |
| 7788 | 2428 double rcon; |
| 2429 return solve (b, info, rcon, 0); | |
| 458 | 2430 } |
| 3480 | 2431 |
| 458 | 2432 ComplexMatrix |
| 7788 | 2433 ComplexMatrix::solve (const ComplexMatrix& b, octave_idx_type& info, double& rcon) const |
| 458 | 2434 { |
| 7788 | 2435 return solve (b, info, rcon, 0); |
| 3480 | 2436 } |
| 2437 | |
| 2438 ComplexMatrix | |
| 7788 | 2439 ComplexMatrix::solve (const ComplexMatrix& b, octave_idx_type& info, double& rcon, |
| 3480 | 2440 solve_singularity_handler sing_handler) const |
| 2441 { | |
| 5785 | 2442 MatrixType mattype (*this); |
| 7788 | 2443 return solve (mattype, b, info, rcon, sing_handler); |
| 458 | 2444 } |
| 2445 | |
| 2446 ComplexColumnVector | |
| 3585 | 2447 ComplexMatrix::solve (const ColumnVector& b) const |
| 2448 { | |
| 5275 | 2449 octave_idx_type info; |
| 7788 | 2450 double rcon; |
| 2451 return solve (ComplexColumnVector (b), info, rcon, 0); | |
| 3585 | 2452 } |
| 2453 | |
| 2454 ComplexColumnVector | |
| 5275 | 2455 ComplexMatrix::solve (const ColumnVector& b, octave_idx_type& info) const |
| 3585 | 2456 { |
| 7788 | 2457 double rcon; |
| 2458 return solve (ComplexColumnVector (b), info, rcon, 0); | |
| 3585 | 2459 } |
| 2460 | |
| 2461 ComplexColumnVector | |
| 5785 | 2462 ComplexMatrix::solve (const ColumnVector& b, octave_idx_type& info, |
| 7788 | 2463 double& rcon) const |
| 3585 | 2464 { |
| 7788 | 2465 return solve (ComplexColumnVector (b), info, rcon, 0); |
| 3585 | 2466 } |
| 2467 | |
| 2468 ComplexColumnVector | |
| 5785 | 2469 ComplexMatrix::solve (const ColumnVector& b, octave_idx_type& info, |
| 7788 | 2470 double& rcon, |
| 3585 | 2471 solve_singularity_handler sing_handler) const |
| 2472 { | |
| 7788 | 2473 return solve (ComplexColumnVector (b), info, rcon, sing_handler); |
| 3585 | 2474 } |
| 2475 | |
| 2476 ComplexColumnVector | |
| 458 | 2477 ComplexMatrix::solve (const ComplexColumnVector& b) const |
| 2478 { | |
| 5275 | 2479 octave_idx_type info; |
| 7788 | 2480 double rcon; |
| 2481 return solve (b, info, rcon, 0); | |
| 458 | 2482 } |
| 2483 | |
| 2484 ComplexColumnVector | |
| 5275 | 2485 ComplexMatrix::solve (const ComplexColumnVector& b, octave_idx_type& info) const |
| 458 | 2486 { |
| 7788 | 2487 double rcon; |
| 2488 return solve (b, info, rcon, 0); | |
| 458 | 2489 } |
| 2490 | |
| 2491 ComplexColumnVector | |
| 5275 | 2492 ComplexMatrix::solve (const ComplexColumnVector& b, octave_idx_type& info, |
| 7788 | 2493 double& rcon) const |
| 458 | 2494 { |
| 7788 | 2495 return solve (b, info, rcon, 0); |
| 3480 | 2496 } |
| 2497 | |
| 2498 ComplexColumnVector | |
| 5275 | 2499 ComplexMatrix::solve (const ComplexColumnVector& b, octave_idx_type& info, |
| 7788 | 2500 double& rcon, |
| 3480 | 2501 solve_singularity_handler sing_handler) const |
| 2502 { | |
| 5785 | 2503 MatrixType mattype (*this); |
| 7788 | 2504 return solve (mattype, b, info, rcon, sing_handler); |
| 458 | 2505 } |
| 2506 | |
| 2507 ComplexMatrix | |
| 3585 | 2508 ComplexMatrix::lssolve (const Matrix& b) const |
| 2509 { | |
| 5275 | 2510 octave_idx_type info; |
| 2511 octave_idx_type rank; | |
| 7788 | 2512 double rcon; |
| 2513 return lssolve (ComplexMatrix (b), info, rank, rcon); | |
| 3585 | 2514 } |
| 2515 | |
| 2516 ComplexMatrix | |
| 5275 | 2517 ComplexMatrix::lssolve (const Matrix& b, octave_idx_type& info) const |
| 3585 | 2518 { |
| 5275 | 2519 octave_idx_type rank; |
| 7788 | 2520 double rcon; |
| 2521 return lssolve (ComplexMatrix (b), info, rank, rcon); | |
| 3585 | 2522 } |
| 2523 | |
| 2524 ComplexMatrix | |
| 7076 | 2525 ComplexMatrix::lssolve (const Matrix& b, octave_idx_type& info, |
| 2526 octave_idx_type& rank) const | |
| 3585 | 2527 { |
| 7788 | 2528 double rcon; |
| 2529 return lssolve (ComplexMatrix (b), info, rank, rcon); | |
| 7076 | 2530 } |
| 2531 | |
| 2532 ComplexMatrix | |
| 2533 ComplexMatrix::lssolve (const Matrix& b, octave_idx_type& info, | |
| 7788 | 2534 octave_idx_type& rank, double& rcon) const |
| 7076 | 2535 { |
| 7788 | 2536 return lssolve (ComplexMatrix (b), info, rank, rcon); |
| 3585 | 2537 } |
| 2538 | |
| 2539 ComplexMatrix | |
| 458 | 2540 ComplexMatrix::lssolve (const ComplexMatrix& b) const |
| 2541 { | |
| 5275 | 2542 octave_idx_type info; |
| 2543 octave_idx_type rank; | |
| 7788 | 2544 double rcon; |
| 2545 return lssolve (b, info, rank, rcon); | |
| 458 | 2546 } |
| 2547 | |
| 2548 ComplexMatrix | |
| 5275 | 2549 ComplexMatrix::lssolve (const ComplexMatrix& b, octave_idx_type& info) const |
| 458 | 2550 { |
| 5275 | 2551 octave_idx_type rank; |
| 7788 | 2552 double rcon; |
| 2553 return lssolve (b, info, rank, rcon); | |
| 458 | 2554 } |
| 2555 | |
| 2556 ComplexMatrix | |
| 7076 | 2557 ComplexMatrix::lssolve (const ComplexMatrix& b, octave_idx_type& info, |
| 2558 octave_idx_type& rank) const | |
| 2559 { | |
| 7788 | 2560 double rcon; |
| 2561 return lssolve (b, info, rank, rcon); | |
| 7076 | 2562 } |
| 2563 | |
| 2564 ComplexMatrix | |
| 2565 ComplexMatrix::lssolve (const ComplexMatrix& b, octave_idx_type& info, | |
| 7788 | 2566 octave_idx_type& rank, double& rcon) const |
| 458 | 2567 { |
| 1948 | 2568 ComplexMatrix retval; |
| 2569 | |
| 5275 | 2570 octave_idx_type nrhs = b.cols (); |
| 2571 | |
| 2572 octave_idx_type m = rows (); | |
| 2573 octave_idx_type n = cols (); | |
| 458 | 2574 |
| 6924 | 2575 if (m != b.rows ()) |
| 1948 | 2576 (*current_liboctave_error_handler) |
| 2577 ("matrix dimension mismatch solution of linear equations"); | |
| 6924 | 2578 else if (m== 0 || n == 0 || b.cols () == 0) |
| 2579 retval = ComplexMatrix (n, b.cols (), Complex (0.0, 0.0)); | |
| 1948 | 2580 else |
| 458 | 2581 { |
| 7072 | 2582 volatile octave_idx_type minmn = (m < n ? m : n); |
| 2583 octave_idx_type maxmn = m > n ? m : n; | |
| 7788 | 2584 rcon = -1.0; |
| 7072 | 2585 |
| 2586 if (m != n) | |
| 2587 { | |
| 2588 retval = ComplexMatrix (maxmn, nrhs); | |
| 2589 | |
| 2590 for (octave_idx_type j = 0; j < nrhs; j++) | |
| 2591 for (octave_idx_type i = 0; i < m; i++) | |
| 2592 retval.elem (i, j) = b.elem (i, j); | |
| 2593 } | |
| 2594 else | |
| 2595 retval = b; | |
| 2596 | |
| 1948 | 2597 ComplexMatrix atmp = *this; |
| 2598 Complex *tmp_data = atmp.fortran_vec (); | |
| 2599 | |
| 7072 | 2600 Complex *pretval = retval.fortran_vec (); |
| 2601 Array<double> s (minmn); | |
| 7071 | 2602 double *ps = s.fortran_vec (); |
| 2563 | 2603 |
| 7072 | 2604 // Ask ZGELSD what the dimension of WORK should be. |
| 5275 | 2605 octave_idx_type lwork = -1; |
| 3752 | 2606 |
| 2607 Array<Complex> work (1); | |
| 7079 | 2608 |
| 7477 | 2609 octave_idx_type smlsiz; |
| 2610 F77_FUNC (xilaenv, XILAENV) (9, F77_CONST_CHAR_ARG2 ("ZGELSD", 6), | |
| 2611 F77_CONST_CHAR_ARG2 (" ", 1), | |
| 7478 | 2612 0, 0, 0, 0, smlsiz |
| 7477 | 2613 F77_CHAR_ARG_LEN (6) |
| 7478 | 2614 F77_CHAR_ARG_LEN (1)); |
| 7079 | 2615 |
|
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2616 octave_idx_type mnthr; |
|
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2617 F77_FUNC (xilaenv, XILAENV) (6, F77_CONST_CHAR_ARG2 ("ZGELSD", 6), |
|
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2618 F77_CONST_CHAR_ARG2 (" ", 1), |
|
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|
2619 m, n, nrhs, -1, mnthr |
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2620 F77_CHAR_ARG_LEN (6) |
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2621 F77_CHAR_ARG_LEN (1)); |
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|
2622 |
| 7079 | 2623 // We compute the size of rwork and iwork because ZGELSD in |
| 2624 // older versions of LAPACK does not return them on a query | |
| 2625 // call. | |
| 7124 | 2626 double dminmn = static_cast<double> (minmn); |
| 2627 double dsmlsizp1 = static_cast<double> (smlsiz+1); | |
| 7079 | 2628 #if defined (HAVE_LOG2) |
|
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2629 double tmp = log2 (dminmn / dsmlsizp1); |
| 7079 | 2630 #else |
|
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|
2631 double tmp = log (dminmn / dsmlsizp1) / log (2.0); |
| 7079 | 2632 #endif |
|
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|
2633 octave_idx_type nlvl = static_cast<octave_idx_type> (tmp) + 1; |
| 7079 | 2634 if (nlvl < 0) |
| 2635 nlvl = 0; | |
| 2636 | |
| 2637 octave_idx_type lrwork = minmn*(10 + 2*smlsiz + 8*nlvl) | |
| 2638 + 3*smlsiz*nrhs + (smlsiz+1)*(smlsiz+1); | |
| 2639 if (lrwork < 1) | |
| 2640 lrwork = 1; | |
| 2641 Array<double> rwork (lrwork); | |
| 2642 double *prwork = rwork.fortran_vec (); | |
| 2643 | |
| 2644 octave_idx_type liwork = 3 * minmn * nlvl + 11 * minmn; | |
| 2645 if (liwork < 1) | |
| 2646 liwork = 1; | |
| 2647 Array<octave_idx_type> iwork (liwork); | |
| 2648 octave_idx_type* piwork = iwork.fortran_vec (); | |
| 7072 | 2649 |
| 2650 F77_XFCN (zgelsd, ZGELSD, (m, n, nrhs, tmp_data, m, pretval, maxmn, | |
| 7788 | 2651 ps, rcon, rank, work.fortran_vec (), |
| 7079 | 2652 lwork, prwork, piwork, info)); |
| 1948 | 2653 |
| 7476 | 2654 // The workspace query is broken in at least LAPACK 3.0.0 |
|
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diff
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|
2655 // through 3.1.1 when n >= mnthr. The obtuse formula below |
|
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|
2656 // should provide sufficient workspace for ZGELSD to operate |
| 7476 | 2657 // efficiently. |
|
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diff
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|
2658 if (n >= mnthr) |
| 7476 | 2659 { |
| 2660 octave_idx_type addend = m; | |
| 2661 | |
| 2662 if (2*m-4 > addend) | |
| 2663 addend = 2*m-4; | |
| 2664 | |
| 2665 if (nrhs > addend) | |
| 2666 addend = nrhs; | |
| 2667 | |
| 2668 if (n-3*m > addend) | |
| 2669 addend = n-3*m; | |
| 2670 | |
| 2671 const octave_idx_type lworkaround = 4*m + m*m + addend; | |
| 2672 | |
| 2673 if (std::real (work(0)) < lworkaround) | |
| 2674 work(0) = lworkaround; | |
| 2675 } | |
|
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|
2676 else if (m >= n) |
|
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|
2677 { |
|
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changeset
|
2678 octave_idx_type lworkaround = 2*m + m*nrhs; |
|
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|
2679 |
|
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changeset
|
2680 if (std::real (work(0)) < lworkaround) |
|
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|
2681 work(0) = lworkaround; |
|
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|
2682 } |
| 7476 | 2683 |
|
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|
2684 lwork = static_cast<octave_idx_type> (std::real (work(0))); |
|
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|
2685 work.resize (lwork); |
|
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|
2686 |
|
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changeset
|
2687 F77_XFCN (zgelsd, ZGELSD, (m, n, nrhs, tmp_data, m, pretval, |
| 7788 | 2688 maxmn, ps, rcon, rank, |
|
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|
2689 work.fortran_vec (), lwork, |
|
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diff
changeset
|
2690 prwork, piwork, info)); |
|
29980c6b8604
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changeset
|
2691 |
|
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|
2692 if (rank < minmn) |
|
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|
2693 (*current_liboctave_warning_handler) |
|
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changeset
|
2694 ("zgelsd: rank deficient %dx%d matrix, rank = %d, tol = %e", |
| 7788 | 2695 m, n, rank, rcon); |
|
7482
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|
2696 |
|
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changeset
|
2697 if (s.elem (0) == 0.0) |
| 7788 | 2698 rcon = 0.0; |
| 1948 | 2699 else |
| 7788 | 2700 rcon = s.elem (minmn - 1) / s.elem (0); |
|
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|
2701 |
|
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changeset
|
2702 retval.resize (n, nrhs); |
| 458 | 2703 } |
| 2704 | |
| 2705 return retval; | |
| 2706 } | |
| 2707 | |
| 2708 ComplexColumnVector | |
| 3585 | 2709 ComplexMatrix::lssolve (const ColumnVector& b) const |
| 2710 { | |
| 5275 | 2711 octave_idx_type info; |
| 2712 octave_idx_type rank; | |
| 7788 | 2713 double rcon; |
| 2714 return lssolve (ComplexColumnVector (b), info, rank, rcon); | |
| 3585 | 2715 } |
| 2716 | |
| 2717 ComplexColumnVector | |
| 5275 | 2718 ComplexMatrix::lssolve (const ColumnVector& b, octave_idx_type& info) const |
| 3585 | 2719 { |
| 5275 | 2720 octave_idx_type rank; |
| 7788 | 2721 double rcon; |
| 2722 return lssolve (ComplexColumnVector (b), info, rank, rcon); | |
| 3585 | 2723 } |
| 2724 | |
| 2725 ComplexColumnVector | |
| 7076 | 2726 ComplexMatrix::lssolve (const ColumnVector& b, octave_idx_type& info, |
| 2727 octave_idx_type& rank) const | |
| 3585 | 2728 { |
| 7788 | 2729 double rcon; |
| 2730 return lssolve (ComplexColumnVector (b), info, rank, rcon); | |
| 7076 | 2731 } |
| 2732 | |
| 2733 ComplexColumnVector | |
| 2734 ComplexMatrix::lssolve (const ColumnVector& b, octave_idx_type& info, | |
| 7788 | 2735 octave_idx_type& rank, double& rcon) const |
| 7076 | 2736 { |
| 7788 | 2737 return lssolve (ComplexColumnVector (b), info, rank, rcon); |
| 3585 | 2738 } |
| 2739 | |
| 2740 ComplexColumnVector | |
| 458 | 2741 ComplexMatrix::lssolve (const ComplexColumnVector& b) const |
| 2742 { | |
| 5275 | 2743 octave_idx_type info; |
| 2744 octave_idx_type rank; | |
| 7788 | 2745 double rcon; |
| 2746 return lssolve (b, info, rank, rcon); | |
| 458 | 2747 } |
| 2748 | |
| 2749 ComplexColumnVector | |
| 5275 | 2750 ComplexMatrix::lssolve (const ComplexColumnVector& b, octave_idx_type& info) const |
| 458 | 2751 { |
| 5275 | 2752 octave_idx_type rank; |
| 7788 | 2753 double rcon; |
| 2754 return lssolve (b, info, rank, rcon); | |
| 458 | 2755 } |
| 2756 | |
| 2757 ComplexColumnVector | |
| 5275 | 2758 ComplexMatrix::lssolve (const ComplexColumnVector& b, octave_idx_type& info, |
| 2759 octave_idx_type& rank) const | |
| 458 | 2760 { |
| 7788 | 2761 double rcon; |
| 2762 return lssolve (b, info, rank, rcon); | |
| 7076 | 2763 |
| 2764 } | |
| 2765 | |
| 2766 ComplexColumnVector | |
| 2767 ComplexMatrix::lssolve (const ComplexColumnVector& b, octave_idx_type& info, | |
| 7788 | 2768 octave_idx_type& rank, double& rcon) const |
| 7076 | 2769 { |
| 1948 | 2770 ComplexColumnVector retval; |
| 2771 | |
| 5275 | 2772 octave_idx_type nrhs = 1; |
| 2773 | |
| 2774 octave_idx_type m = rows (); | |
| 2775 octave_idx_type n = cols (); | |
| 458 | 2776 |
| 6924 | 2777 if (m != b.length ()) |
| 1948 | 2778 (*current_liboctave_error_handler) |
| 6924 | 2779 ("matrix dimension mismatch solution of linear equations"); |
| 2780 else if (m == 0 || n == 0 || b.cols () == 0) | |
| 2781 retval = ComplexColumnVector (n, Complex (0.0, 0.0)); | |
| 1948 | 2782 else |
| 458 | 2783 { |
| 7072 | 2784 volatile octave_idx_type minmn = (m < n ? m : n); |
| 2785 octave_idx_type maxmn = m > n ? m : n; | |
| 7788 | 2786 rcon = -1.0; |
| 7072 | 2787 |
| 2788 if (m != n) | |
| 2789 { | |
| 2790 retval = ComplexColumnVector (maxmn); | |
| 2791 | |
| 2792 for (octave_idx_type i = 0; i < m; i++) | |
| 2793 retval.elem (i) = b.elem (i); | |
| 2794 } | |
| 2795 else | |
| 2796 retval = b; | |
| 2797 | |
| 1948 | 2798 ComplexMatrix atmp = *this; |
| 2799 Complex *tmp_data = atmp.fortran_vec (); | |
| 2800 | |
| 7072 | 2801 Complex *pretval = retval.fortran_vec (); |
| 2802 Array<double> s (minmn); | |
| 7071 | 2803 double *ps = s.fortran_vec (); |
| 1948 | 2804 |
| 7072 | 2805 // Ask ZGELSD what the dimension of WORK should be. |
| 5275 | 2806 octave_idx_type lwork = -1; |
| 3752 | 2807 |
| 2808 Array<Complex> work (1); | |
| 7079 | 2809 |
|
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diff
changeset
|
2810 octave_idx_type smlsiz; |
|
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diff
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|
2811 F77_FUNC (xilaenv, XILAENV) (9, F77_CONST_CHAR_ARG2 ("ZGELSD", 6), |
|
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|
2812 F77_CONST_CHAR_ARG2 (" ", 1), |
|
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more xGELSD workspace fixes
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parents:
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diff
changeset
|
2813 0, 0, 0, 0, smlsiz |
|
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diff
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|
2814 F77_CHAR_ARG_LEN (6) |
|
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diff
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|
2815 F77_CHAR_ARG_LEN (1)); |
| 7079 | 2816 |
| 2817 // We compute the size of rwork and iwork because ZGELSD in | |
| 2818 // older versions of LAPACK does not return them on a query | |
| 2819 // call. | |
| 7124 | 2820 double dminmn = static_cast<double> (minmn); |
| 2821 double dsmlsizp1 = static_cast<double> (smlsiz+1); | |
| 7079 | 2822 #if defined (HAVE_LOG2) |
|
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|
2823 double tmp = log2 (dminmn / dsmlsizp1); |
| 7079 | 2824 #else |
|
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diff
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|
2825 double tmp = log (dminmn / dsmlsizp1) / log (2.0); |
| 7079 | 2826 #endif |
|
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diff
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|
2827 octave_idx_type nlvl = static_cast<octave_idx_type> (tmp) + 1; |
| 7079 | 2828 if (nlvl < 0) |
| 2829 nlvl = 0; | |
| 2830 | |
| 2831 octave_idx_type lrwork = minmn*(10 + 2*smlsiz + 8*nlvl) | |
| 2832 + 3*smlsiz*nrhs + (smlsiz+1)*(smlsiz+1); | |
| 2833 if (lrwork < 1) | |
| 2834 lrwork = 1; | |
| 2835 Array<double> rwork (lrwork); | |
| 2836 double *prwork = rwork.fortran_vec (); | |
| 2837 | |
| 2838 octave_idx_type liwork = 3 * minmn * nlvl + 11 * minmn; | |
| 2839 if (liwork < 1) | |
| 2840 liwork = 1; | |
| 2841 Array<octave_idx_type> iwork (liwork); | |
| 2842 octave_idx_type* piwork = iwork.fortran_vec (); | |
| 7072 | 2843 |
| 2844 F77_XFCN (zgelsd, ZGELSD, (m, n, nrhs, tmp_data, m, pretval, maxmn, | |
| 7788 | 2845 ps, rcon, rank, work.fortran_vec (), |
| 7079 | 2846 lwork, prwork, piwork, info)); |
| 1948 | 2847 |
|
7482
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|
2848 lwork = static_cast<octave_idx_type> (std::real (work(0))); |
|
29980c6b8604
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diff
changeset
|
2849 work.resize (lwork); |
|
29980c6b8604
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parents:
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diff
changeset
|
2850 rwork.resize (static_cast<octave_idx_type> (rwork(0))); |
|
29980c6b8604
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diff
changeset
|
2851 iwork.resize (iwork(0)); |
|
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parents:
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diff
changeset
|
2852 |
|
29980c6b8604
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parents:
7478
diff
changeset
|
2853 F77_XFCN (zgelsd, ZGELSD, (m, n, nrhs, tmp_data, m, pretval, |
| 7788 | 2854 maxmn, ps, rcon, rank, |
|
7482
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diff
changeset
|
2855 work.fortran_vec (), lwork, |
|
29980c6b8604
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7478
diff
changeset
|
2856 prwork, piwork, info)); |
|
29980c6b8604
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diff
changeset
|
2857 |
|
29980c6b8604
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diff
changeset
|
2858 if (rank < minmn) |
| 1948 | 2859 { |
|
7482
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diff
changeset
|
2860 if (rank < minmn) |
|
29980c6b8604
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diff
changeset
|
2861 (*current_liboctave_warning_handler) |
|
29980c6b8604
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7478
diff
changeset
|
2862 ("zgelsd: rank deficient %dx%d matrix, rank = %d, tol = %e", |
| 7788 | 2863 m, n, rank, rcon); |
|
7482
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|
2864 |
|
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diff
changeset
|
2865 if (s.elem (0) == 0.0) |
| 7788 | 2866 rcon = 0.0; |
|
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diff
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|
2867 else |
| 7788 | 2868 rcon = s.elem (minmn - 1) / s.elem (0); |
|
7482
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|
2869 |
|
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changeset
|
2870 retval.resize (n, nrhs); |
| 1948 | 2871 } |
| 458 | 2872 } |
| 2873 | |
| 2874 return retval; | |
| 2875 } | |
| 2876 | |
| 1819 | 2877 // Constants for matrix exponential calculation. |
| 2878 | |
| 2879 static double padec [] = | |
| 2880 { | |
| 2881 5.0000000000000000e-1, | |
| 2882 1.1666666666666667e-1, | |
| 2883 1.6666666666666667e-2, | |
| 2884 1.6025641025641026e-3, | |
| 2885 1.0683760683760684e-4, | |
| 2886 4.8562548562548563e-6, | |
| 2887 1.3875013875013875e-7, | |
| 2888 1.9270852604185938e-9, | |
| 2889 }; | |
| 2890 | |
| 7400 | 2891 static void |
| 7788 | 2892 solve_singularity_warning (double rcon) |
| 7400 | 2893 { |
| 2894 (*current_liboctave_warning_handler) | |
| 2895 ("singular matrix encountered in expm calculation, rcond = %g", | |
| 7788 | 2896 rcon); |
| 7400 | 2897 } |
| 2898 | |
| 1205 | 2899 // column vector by row vector -> matrix operations |
| 2900 | |
| 2901 ComplexMatrix | |
| 2902 operator * (const ColumnVector& v, const ComplexRowVector& a) | |
| 2903 { | |
| 2904 ComplexColumnVector tmp (v); | |
| 2905 return tmp * a; | |
| 2906 } | |
| 2907 | |
| 2908 ComplexMatrix | |
| 2909 operator * (const ComplexColumnVector& a, const RowVector& b) | |
| 2910 { | |
| 2911 ComplexRowVector tmp (b); | |
| 2912 return a * tmp; | |
| 2913 } | |
| 2914 | |
| 2915 ComplexMatrix | |
| 2916 operator * (const ComplexColumnVector& v, const ComplexRowVector& a) | |
| 2917 { | |
| 1948 | 2918 ComplexMatrix retval; |
| 2919 | |
| 5275 | 2920 octave_idx_type len = v.length (); |
| 3233 | 2921 |
| 2922 if (len != 0) | |
| 1205 | 2923 { |
| 5275 | 2924 octave_idx_type a_len = a.length (); |
| 3233 | 2925 |
| 2926 retval.resize (len, a_len); | |
| 2927 Complex *c = retval.fortran_vec (); | |
| 2928 | |
| 4552 | 2929 F77_XFCN (zgemm, ZGEMM, (F77_CONST_CHAR_ARG2 ("N", 1), |
| 2930 F77_CONST_CHAR_ARG2 ("N", 1), | |
| 2931 len, a_len, 1, 1.0, v.data (), len, | |
| 2932 a.data (), 1, 0.0, c, len | |
| 2933 F77_CHAR_ARG_LEN (1) | |
| 2934 F77_CHAR_ARG_LEN (1))); | |
| 1205 | 2935 } |
| 2936 | |
| 1948 | 2937 return retval; |
| 1205 | 2938 } |
| 2939 | |
| 458 | 2940 // matrix by diagonal matrix -> matrix operations |
| 2941 | |
| 2942 ComplexMatrix& | |
| 2943 ComplexMatrix::operator += (const DiagMatrix& a) | |
| 2944 { | |
| 5275 | 2945 octave_idx_type nr = rows (); |
| 2946 octave_idx_type nc = cols (); | |
| 2947 | |
| 2948 octave_idx_type a_nr = rows (); | |
| 2949 octave_idx_type a_nc = cols (); | |
| 2384 | 2950 |
| 2951 if (nr != a_nr || nc != a_nc) | |
| 458 | 2952 { |
| 2384 | 2953 gripe_nonconformant ("operator +=", nr, nc, a_nr, a_nc); |
| 889 | 2954 return *this; |
| 458 | 2955 } |
| 2956 | |
| 5275 | 2957 for (octave_idx_type i = 0; i < a.length (); i++) |
| 458 | 2958 elem (i, i) += a.elem (i, i); |
| 2959 | |
| 2960 return *this; | |
| 2961 } | |
| 2962 | |
| 2963 ComplexMatrix& | |
| 2964 ComplexMatrix::operator -= (const DiagMatrix& a) | |
| 2965 { | |
| 5275 | 2966 octave_idx_type nr = rows (); |
| 2967 octave_idx_type nc = cols (); | |
| 2968 | |
| 2969 octave_idx_type a_nr = rows (); | |
| 2970 octave_idx_type a_nc = cols (); | |
| 2384 | 2971 |
| 2972 if (nr != a_nr || nc != a_nc) | |
| 458 | 2973 { |
| 2384 | 2974 gripe_nonconformant ("operator -=", nr, nc, a_nr, a_nc); |
| 889 | 2975 return *this; |
| 458 | 2976 } |
| 2977 | |
| 5275 | 2978 for (octave_idx_type i = 0; i < a.length (); i++) |
| 458 | 2979 elem (i, i) -= a.elem (i, i); |
| 2980 | |
| 2981 return *this; | |
| 2982 } | |
| 2983 | |
| 2984 ComplexMatrix& | |
| 2985 ComplexMatrix::operator += (const ComplexDiagMatrix& a) | |
| 2986 { | |
| 5275 | 2987 octave_idx_type nr = rows (); |
| 2988 octave_idx_type nc = cols (); | |
| 2989 | |
| 2990 octave_idx_type a_nr = rows (); | |
| 2991 octave_idx_type a_nc = cols (); | |
| 2384 | 2992 |
| 2993 if (nr != a_nr || nc != a_nc) | |
| 458 | 2994 { |
| 2384 | 2995 gripe_nonconformant ("operator +=", nr, nc, a_nr, a_nc); |
| 889 | 2996 return *this; |
| 458 | 2997 } |
| 2998 | |
| 5275 | 2999 for (octave_idx_type i = 0; i < a.length (); i++) |
| 458 | 3000 elem (i, i) += a.elem (i, i); |
| 3001 | |
| 3002 return *this; | |
| 3003 } | |
| 3004 | |
| 3005 ComplexMatrix& | |
| 3006 ComplexMatrix::operator -= (const ComplexDiagMatrix& a) | |
| 3007 { | |
| 5275 | 3008 octave_idx_type nr = rows (); |
| 3009 octave_idx_type nc = cols (); | |
| 3010 | |
| 3011 octave_idx_type a_nr = rows (); | |
| 3012 octave_idx_type a_nc = cols (); | |
| 2384 | 3013 |
| 3014 if (nr != a_nr || nc != a_nc) | |
| 458 | 3015 { |
| 2384 | 3016 gripe_nonconformant ("operator -=", nr, nc, a_nr, a_nc); |
| 889 | 3017 return *this; |
| 458 | 3018 } |
| 3019 | |
| 5275 | 3020 for (octave_idx_type i = 0; i < a.length (); i++) |
| 458 | 3021 elem (i, i) -= a.elem (i, i); |
| 3022 | |
| 3023 return *this; | |
| 3024 } | |
| 3025 | |
| 3026 // matrix by matrix -> matrix operations | |
| 3027 | |
| 3028 ComplexMatrix& | |
| 3029 ComplexMatrix::operator += (const Matrix& a) | |
| 3030 { | |
| 5275 | 3031 octave_idx_type nr = rows (); |
| 3032 octave_idx_type nc = cols (); | |
| 3033 | |
| 3034 octave_idx_type a_nr = a.rows (); | |
| 3035 octave_idx_type a_nc = a.cols (); | |
| 2384 | 3036 |
| 3037 if (nr != a_nr || nc != a_nc) | |
| 458 | 3038 { |
| 2384 | 3039 gripe_nonconformant ("operator +=", nr, nc, a_nr, a_nc); |
| 458 | 3040 return *this; |
| 3041 } | |
| 3042 | |
| 3043 if (nr == 0 || nc == 0) | |
| 3044 return *this; | |
| 3045 | |
| 3046 Complex *d = fortran_vec (); // Ensures only one reference to my privates! | |
| 3047 | |
| 3769 | 3048 mx_inline_add2 (d, a.data (), length ()); |
| 458 | 3049 return *this; |
| 3050 } | |
| 3051 | |
| 3052 ComplexMatrix& | |
| 3053 ComplexMatrix::operator -= (const Matrix& a) | |
| 3054 { | |
| 5275 | 3055 octave_idx_type nr = rows (); |
| 3056 octave_idx_type nc = cols (); | |
| 3057 | |
| 3058 octave_idx_type a_nr = a.rows (); | |
| 3059 octave_idx_type a_nc = a.cols (); | |
| 2384 | 3060 |
| 3061 if (nr != a_nr || nc != a_nc) | |
| 458 | 3062 { |
| 2384 | 3063 gripe_nonconformant ("operator -=", nr, nc, a_nr, a_nc); |
| 458 | 3064 return *this; |
| 3065 } | |
| 3066 | |
| 3067 if (nr == 0 || nc == 0) | |
| 3068 return *this; | |
| 3069 | |
| 3070 Complex *d = fortran_vec (); // Ensures only one reference to my privates! | |
| 3071 | |
| 3769 | 3072 mx_inline_subtract2 (d, a.data (), length ()); |
| 458 | 3073 return *this; |
| 3074 } | |
| 3075 | |
| 3076 // unary operations | |
| 3077 | |
| 2964 | 3078 boolMatrix |
| 458 | 3079 ComplexMatrix::operator ! (void) const |
| 3080 { | |
| 5275 | 3081 octave_idx_type nr = rows (); |
| 3082 octave_idx_type nc = cols (); | |
| 2964 | 3083 |
| 3084 boolMatrix b (nr, nc); | |
| 3085 | |
| 5275 | 3086 for (octave_idx_type j = 0; j < nc; j++) |
| 3087 for (octave_idx_type i = 0; i < nr; i++) | |
| 5139 | 3088 b.elem (i, j) = elem (i, j) == 0.0; |
| 2964 | 3089 |
| 3090 return b; | |
| 458 | 3091 } |
| 3092 | |
| 3093 // other operations | |
| 3094 | |
| 2676 | 3095 Matrix |
|
7503
8c32f95c2639
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David Bateman <dbateman@free.fr>
parents:
7488
diff
changeset
|
3096 ComplexMatrix::map (dmapper fcn) const |
| 458 | 3097 { |
|
7503
8c32f95c2639
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parents:
7488
diff
changeset
|
3098 return MArray2<Complex>::map<double> (func_ptr (fcn)); |
|
8c32f95c2639
convert mapper functions to new format
David Bateman <dbateman@free.fr>
parents:
7488
diff
changeset
|
3099 } |
|
8c32f95c2639
convert mapper functions to new format
David Bateman <dbateman@free.fr>
parents:
7488
diff
changeset
|
3100 |
|
8c32f95c2639
convert mapper functions to new format
David Bateman <dbateman@free.fr>
parents:
7488
diff
changeset
|
3101 ComplexMatrix |
|
8c32f95c2639
convert mapper functions to new format
David Bateman <dbateman@free.fr>
parents:
7488
diff
changeset
|
3102 ComplexMatrix::map (cmapper fcn) const |
|
8c32f95c2639
convert mapper functions to new format
David Bateman <dbateman@free.fr>
parents:
7488
diff
changeset
|
3103 { |
|
8c32f95c2639
convert mapper functions to new format
David Bateman <dbateman@free.fr>
parents:
7488
diff
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|
3104 return MArray2<Complex>::map<Complex> (func_ptr (fcn)); |
| 3248 | 3105 } |
| 3106 | |
| 3107 boolMatrix | |
|
7503
8c32f95c2639
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David Bateman <dbateman@free.fr>
parents:
7488
diff
changeset
|
3108 ComplexMatrix::map (bmapper fcn) const |
| 3248 | 3109 { |
|
7503
8c32f95c2639
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parents:
7488
diff
changeset
|
3110 return MArray2<Complex>::map<bool> (func_ptr (fcn)); |
| 458 | 3111 } |
| 3112 | |
| 2384 | 3113 bool |
|
7922
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3114 ComplexMatrix::any_element_is_nan (void) const |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3115 { |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3116 octave_idx_type nr = rows (); |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3117 octave_idx_type nc = cols (); |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3118 |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3119 for (octave_idx_type j = 0; j < nc; j++) |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3120 for (octave_idx_type i = 0; i < nr; i++) |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3121 { |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3122 Complex val = elem (i, j); |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3123 if (xisnan (val)) |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3124 return true; |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3125 } |
|
935be827eaf8
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John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3126 |
|
935be827eaf8
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John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3127 return false; |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3128 } |
|
935be827eaf8
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John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3129 |
|
935be827eaf8
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John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3130 bool |
| 2384 | 3131 ComplexMatrix::any_element_is_inf_or_nan (void) const |
| 3132 { | |
| 5275 | 3133 octave_idx_type nr = rows (); |
| 3134 octave_idx_type nc = cols (); | |
| 3135 | |
| 3136 for (octave_idx_type j = 0; j < nc; j++) | |
| 3137 for (octave_idx_type i = 0; i < nr; i++) | |
| 2384 | 3138 { |
| 3139 Complex val = elem (i, j); | |
| 3140 if (xisinf (val) || xisnan (val)) | |
| 3141 return true; | |
| 3142 } | |
| 3143 | |
| 3144 return false; | |
| 3145 } | |
| 3146 | |
| 2408 | 3147 // Return true if no elements have imaginary components. |
| 3148 | |
| 3149 bool | |
| 3150 ComplexMatrix::all_elements_are_real (void) const | |
| 3151 { | |
| 5275 | 3152 octave_idx_type nr = rows (); |
| 3153 octave_idx_type nc = cols (); | |
| 3154 | |
| 3155 for (octave_idx_type j = 0; j < nc; j++) | |
| 4349 | 3156 { |
| 5275 | 3157 for (octave_idx_type i = 0; i < nr; i++) |
| 4349 | 3158 { |
| 5315 | 3159 double ip = std::imag (elem (i, j)); |
| 4349 | 3160 |
| 3161 if (ip != 0.0 || lo_ieee_signbit (ip)) | |
| 3162 return false; | |
| 3163 } | |
| 3164 } | |
| 2408 | 3165 |
| 3166 return true; | |
| 3167 } | |
| 3168 | |
| 1968 | 3169 // Return nonzero if any element of CM has a non-integer real or |
| 3170 // imaginary part. Also extract the largest and smallest (real or | |
| 3171 // imaginary) values and return them in MAX_VAL and MIN_VAL. | |
| 3172 | |
| 2384 | 3173 bool |
| 1968 | 3174 ComplexMatrix::all_integers (double& max_val, double& min_val) const |
| 3175 { | |
| 5275 | 3176 octave_idx_type nr = rows (); |
| 3177 octave_idx_type nc = cols (); | |
| 1968 | 3178 |
| 3179 if (nr > 0 && nc > 0) | |
| 3180 { | |
| 3181 Complex val = elem (0, 0); | |
| 3182 | |
| 5315 | 3183 double r_val = std::real (val); |
| 3184 double i_val = std::imag (val); | |
| 1968 | 3185 |
| 3186 max_val = r_val; | |
| 3187 min_val = r_val; | |
| 3188 | |
| 3189 if (i_val > max_val) | |
| 3190 max_val = i_val; | |
| 3191 | |
| 3192 if (i_val < max_val) | |
| 3193 min_val = i_val; | |
| 3194 } | |
| 3195 else | |
| 2384 | 3196 return false; |
| 1968 | 3197 |
| 5275 | 3198 for (octave_idx_type j = 0; j < nc; j++) |
| 3199 for (octave_idx_type i = 0; i < nr; i++) | |
| 1968 | 3200 { |
| 3201 Complex val = elem (i, j); | |
| 3202 | |
| 5315 | 3203 double r_val = std::real (val); |
| 3204 double i_val = std::imag (val); | |
| 1968 | 3205 |
| 3206 if (r_val > max_val) | |
| 3207 max_val = r_val; | |
| 3208 | |
| 3209 if (i_val > max_val) | |
| 3210 max_val = i_val; | |
| 3211 | |
| 3212 if (r_val < min_val) | |
| 3213 min_val = r_val; | |
| 3214 | |
| 3215 if (i_val < min_val) | |
| 3216 min_val = i_val; | |
| 3217 | |
| 3218 if (D_NINT (r_val) != r_val || D_NINT (i_val) != i_val) | |
| 2384 | 3219 return false; |
| 1968 | 3220 } |
| 2384 | 3221 |
| 3222 return true; | |
| 1968 | 3223 } |
| 3224 | |
| 2384 | 3225 bool |
| 1968 | 3226 ComplexMatrix::too_large_for_float (void) const |
| 3227 { | |
| 5275 | 3228 octave_idx_type nr = rows (); |
| 3229 octave_idx_type nc = cols (); | |
| 3230 | |
| 3231 for (octave_idx_type j = 0; j < nc; j++) | |
| 3232 for (octave_idx_type i = 0; i < nr; i++) | |
| 1968 | 3233 { |
| 3234 Complex val = elem (i, j); | |
| 3235 | |
| 5315 | 3236 double r_val = std::real (val); |
| 3237 double i_val = std::imag (val); | |
| 1968 | 3238 |
| 5389 | 3239 if ((! (xisnan (r_val) || xisinf (r_val)) |
| 5387 | 3240 && fabs (r_val) > FLT_MAX) |
| 5389 | 3241 || (! (xisnan (i_val) || xisinf (i_val)) |
| 5387 | 3242 && fabs (i_val) > FLT_MAX)) |
| 2384 | 3243 return true; |
| 1968 | 3244 } |
| 3245 | |
| 2384 | 3246 return false; |
| 1968 | 3247 } |
| 3248 | |
| 5775 | 3249 // FIXME Do these really belong here? Maybe they should be |
| 4015 | 3250 // in a base class? |
| 3251 | |
| 2832 | 3252 boolMatrix |
| 4015 | 3253 ComplexMatrix::all (int dim) const |
| 458 | 3254 { |
| 4015 | 3255 MX_ALL_OP (dim); |
| 458 | 3256 } |
| 3257 | |
| 2832 | 3258 boolMatrix |
| 4015 | 3259 ComplexMatrix::any (int dim) const |
| 458 | 3260 { |
| 4015 | 3261 MX_ANY_OP (dim); |
| 458 | 3262 } |
| 3263 | |
| 3264 ComplexMatrix | |
| 3723 | 3265 ComplexMatrix::cumprod (int dim) const |
| 458 | 3266 { |
| 4015 | 3267 MX_CUMULATIVE_OP (ComplexMatrix, Complex, *=); |
| 458 | 3268 } |
| 3269 | |
| 3270 ComplexMatrix | |
| 3723 | 3271 ComplexMatrix::cumsum (int dim) const |
| 458 | 3272 { |
| 4015 | 3273 MX_CUMULATIVE_OP (ComplexMatrix, Complex, +=); |
| 458 | 3274 } |
| 3275 | |
| 3276 ComplexMatrix | |
| 3723 | 3277 ComplexMatrix::prod (int dim) const |
| 458 | 3278 { |
| 3864 | 3279 MX_REDUCTION_OP (ComplexMatrix, *=, 1.0, 1.0); |
| 458 | 3280 } |
| 3281 | |
| 3282 ComplexMatrix | |
| 3723 | 3283 ComplexMatrix::sum (int dim) const |
| 458 | 3284 { |
| 3864 | 3285 MX_REDUCTION_OP (ComplexMatrix, +=, 0.0, 0.0); |
| 458 | 3286 } |
| 3287 | |
| 3288 ComplexMatrix | |
| 3723 | 3289 ComplexMatrix::sumsq (int dim) const |
| 458 | 3290 { |
| 3864 | 3291 #define ROW_EXPR \ |
| 3292 Complex d = elem (i, j); \ | |
| 3293 retval.elem (i, 0) += d * conj (d) | |
| 3294 | |
| 3295 #define COL_EXPR \ | |
| 3296 Complex d = elem (i, j); \ | |
| 3297 retval.elem (0, j) += d * conj (d) | |
| 3298 | |
| 3299 MX_BASE_REDUCTION_OP (ComplexMatrix, ROW_EXPR, COL_EXPR, 0.0, 0.0); | |
| 3300 | |
| 3301 #undef ROW_EXPR | |
| 3302 #undef COL_EXPR | |
| 458 | 3303 } |
| 3304 | |
| 4329 | 3305 Matrix ComplexMatrix::abs (void) const |
| 3306 { | |
|
8650
a1ae2aae903e
abs,real,imag,conj: use code from mx-inlines rather than the generic map
Jaroslav Hajek <highegg@gmail.com>
parents:
8614
diff
changeset
|
3307 return Matrix (mx_inline_cabs_dup (data (), length ()), |
|
a1ae2aae903e
abs,real,imag,conj: use code from mx-inlines rather than the generic map
Jaroslav Hajek <highegg@gmail.com>
parents:
8614
diff
changeset
|
3308 rows (), cols ()); |
| 4329 | 3309 } |
| 3310 | |
|
7620
36594d5bbe13
Move diag function into the octave_value class
David Bateman <dbateman@free.fr>
parents:
7544
diff
changeset
|
3311 ComplexMatrix |
| 5275 | 3312 ComplexMatrix::diag (octave_idx_type k) const |
| 458 | 3313 { |
|
7620
36594d5bbe13
Move diag function into the octave_value class
David Bateman <dbateman@free.fr>
parents:
7544
diff
changeset
|
3314 return MArray2<Complex>::diag (k); |
| 458 | 3315 } |
| 3316 | |
| 2354 | 3317 bool |
| 5275 | 3318 ComplexMatrix::row_is_real_only (octave_idx_type i) const |
| 2354 | 3319 { |
| 3320 bool retval = true; | |
| 3321 | |
| 5275 | 3322 octave_idx_type nc = columns (); |
| 3323 | |
| 3324 for (octave_idx_type j = 0; j < nc; j++) | |
| 2354 | 3325 { |
| 5315 | 3326 if (std::imag (elem (i, j)) != 0.0) |
| 2354 | 3327 { |
| 3328 retval = false; | |
| 3329 break; | |
| 3330 } | |
| 3331 } | |
| 3332 | |
| 3333 return retval; | |
| 3334 } | |
| 3335 | |
| 3336 bool | |
| 5275 | 3337 ComplexMatrix::column_is_real_only (octave_idx_type j) const |
| 2354 | 3338 { |
| 3339 bool retval = true; | |
| 3340 | |
| 5275 | 3341 octave_idx_type nr = rows (); |
| 3342 | |
| 3343 for (octave_idx_type i = 0; i < nr; i++) | |
| 2354 | 3344 { |
| 5315 | 3345 if (std::imag (elem (i, j)) != 0.0) |
| 2354 | 3346 { |
| 3347 retval = false; | |
| 3348 break; | |
| 3349 } | |
| 3350 } | |
| 3351 | |
| 3352 return retval; | |
| 3353 } | |
| 891 | 3354 |
| 458 | 3355 ComplexColumnVector |
| 3356 ComplexMatrix::row_min (void) const | |
| 3357 { | |
| 5275 | 3358 Array<octave_idx_type> dummy_idx; |
| 4587 | 3359 return row_min (dummy_idx); |
| 458 | 3360 } |
| 3361 | |
| 3362 ComplexColumnVector | |
| 5275 | 3363 ComplexMatrix::row_min (Array<octave_idx_type>& idx_arg) const |
| 458 | 3364 { |
| 3365 ComplexColumnVector result; | |
| 3366 | |
| 5275 | 3367 octave_idx_type nr = rows (); |
| 3368 octave_idx_type nc = cols (); | |
| 458 | 3369 |
| 3370 if (nr > 0 && nc > 0) | |
| 3371 { | |
| 3372 result.resize (nr); | |
| 4587 | 3373 idx_arg.resize (nr); |
| 458 | 3374 |
| 5275 | 3375 for (octave_idx_type i = 0; i < nr; i++) |
| 458 | 3376 { |
| 2354 | 3377 bool real_only = row_is_real_only (i); |
| 3378 | |
| 5275 | 3379 octave_idx_type idx_j; |
| 4469 | 3380 |
| 3381 Complex tmp_min; | |
| 3382 | |
| 3383 double abs_min = octave_NaN; | |
| 3384 | |
| 3385 for (idx_j = 0; idx_j < nc; idx_j++) | |
| 3386 { | |
| 3387 tmp_min = elem (i, idx_j); | |
| 3388 | |
| 5389 | 3389 if (! xisnan (tmp_min)) |
| 4469 | 3390 { |
| 5315 | 3391 abs_min = real_only ? std::real (tmp_min) : std::abs (tmp_min); |
| 4469 | 3392 break; |
| 3393 } | |
| 3394 } | |
| 3395 | |
| 5275 | 3396 for (octave_idx_type j = idx_j+1; j < nc; j++) |
| 4469 | 3397 { |
| 3398 Complex tmp = elem (i, j); | |
| 3399 | |
| 5389 | 3400 if (xisnan (tmp)) |
| 4469 | 3401 continue; |
| 3402 | |
| 5315 | 3403 double abs_tmp = real_only ? std::real (tmp) : std::abs (tmp); |
| 4469 | 3404 |
| 3405 if (abs_tmp < abs_min) | |
| 3406 { | |
| 3407 idx_j = j; | |
| 3408 tmp_min = tmp; | |
| 3409 abs_min = abs_tmp; | |
| 3410 } | |
| 3411 } | |
| 3412 | |
| 5389 | 3413 if (xisnan (tmp_min)) |
| 4469 | 3414 { |
| 3415 result.elem (i) = Complex_NaN_result; | |
| 4587 | 3416 idx_arg.elem (i) = 0; |
| 4469 | 3417 } |
| 891 | 3418 else |
| 3419 { | |
| 4469 | 3420 result.elem (i) = tmp_min; |
| 4587 | 3421 idx_arg.elem (i) = idx_j; |
| 891 | 3422 } |
| 458 | 3423 } |
| 3424 } | |
| 3425 | |
| 3426 return result; | |
| 3427 } | |
| 3428 | |
| 3429 ComplexColumnVector | |
| 3430 ComplexMatrix::row_max (void) const | |
| 3431 { | |
| 5275 | 3432 Array<octave_idx_type> dummy_idx; |
| 4587 | 3433 return row_max (dummy_idx); |
| 458 | 3434 } |
| 3435 | |
| 3436 ComplexColumnVector | |
| 5275 | 3437 ComplexMatrix::row_max (Array<octave_idx_type>& idx_arg) const |
| 458 | 3438 { |
| 3439 ComplexColumnVector result; | |
| 3440 | |
| 5275 | 3441 octave_idx_type nr = rows (); |
| 3442 octave_idx_type nc = cols (); | |
| 458 | 3443 |
| 3444 if (nr > 0 && nc > 0) | |
| 3445 { | |
| 3446 result.resize (nr); | |
| 4587 | 3447 idx_arg.resize (nr); |
| 458 | 3448 |
| 5275 | 3449 for (octave_idx_type i = 0; i < nr; i++) |
| 458 | 3450 { |
| 2354 | 3451 bool real_only = row_is_real_only (i); |
| 3452 | |
| 5275 | 3453 octave_idx_type idx_j; |
| 4469 | 3454 |
| 3455 Complex tmp_max; | |
| 3456 | |
| 3457 double abs_max = octave_NaN; | |
| 3458 | |
| 3459 for (idx_j = 0; idx_j < nc; idx_j++) | |
| 3460 { | |
| 3461 tmp_max = elem (i, idx_j); | |
| 3462 | |
| 5389 | 3463 if (! xisnan (tmp_max)) |
| 4469 | 3464 { |
| 5315 | 3465 abs_max = real_only ? std::real (tmp_max) : std::abs (tmp_max); |
| 4469 | 3466 break; |
| 3467 } | |
| 3468 } | |
| 3469 | |
| 5275 | 3470 for (octave_idx_type j = idx_j+1; j < nc; j++) |
| 4469 | 3471 { |
| 3472 Complex tmp = elem (i, j); | |
| 3473 | |
| 5389 | 3474 if (xisnan (tmp)) |
| 4469 | 3475 continue; |
| 3476 | |
| 5315 | 3477 double abs_tmp = real_only ? std::real (tmp) : std::abs (tmp); |
| 4469 | 3478 |
| 3479 if (abs_tmp > abs_max) | |
| 3480 { | |
| 3481 idx_j = j; | |
| 3482 tmp_max = tmp; | |
| 3483 abs_max = abs_tmp; | |
| 3484 } | |
| 3485 } | |
| 3486 | |
| 5389 | 3487 if (xisnan (tmp_max)) |
| 4469 | 3488 { |
| 3489 result.elem (i) = Complex_NaN_result; | |
| 4587 | 3490 idx_arg.elem (i) = 0; |
| 4469 | 3491 } |
| 891 | 3492 else |
| 3493 { | |
| 4469 | 3494 result.elem (i) = tmp_max; |
| 4587 | 3495 idx_arg.elem (i) = idx_j; |
| 891 | 3496 } |
| 458 | 3497 } |
| 3498 } | |
| 3499 | |
| 3500 return result; | |
| 3501 } | |
| 3502 | |
| 3503 ComplexRowVector | |
| 3504 ComplexMatrix::column_min (void) const | |
| 3505 { | |
| 5275 | 3506 Array<octave_idx_type> dummy_idx; |
| 4587 | 3507 return column_min (dummy_idx); |
| 458 | 3508 } |
| 3509 | |
| 3510 ComplexRowVector | |
| 5275 | 3511 ComplexMatrix::column_min (Array<octave_idx_type>& idx_arg) const |
| 458 | 3512 { |
| 3513 ComplexRowVector result; | |
| 3514 | |
| 5275 | 3515 octave_idx_type nr = rows (); |
| 3516 octave_idx_type nc = cols (); | |
| 458 | 3517 |
| 3518 if (nr > 0 && nc > 0) | |
| 3519 { | |
| 3520 result.resize (nc); | |
| 4587 | 3521 idx_arg.resize (nc); |
| 458 | 3522 |
| 5275 | 3523 for (octave_idx_type j = 0; j < nc; j++) |
| 458 | 3524 { |
| 2354 | 3525 bool real_only = column_is_real_only (j); |
| 3526 | |
| 5275 | 3527 octave_idx_type idx_i; |
| 4469 | 3528 |
| 3529 Complex tmp_min; | |
| 3530 | |
| 3531 double abs_min = octave_NaN; | |
| 3532 | |
| 3533 for (idx_i = 0; idx_i < nr; idx_i++) | |
| 3534 { | |
| 3535 tmp_min = elem (idx_i, j); | |
| 3536 | |
| 5389 | 3537 if (! xisnan (tmp_min)) |
| 4469 | 3538 { |
| 5315 | 3539 abs_min = real_only ? std::real (tmp_min) : std::abs (tmp_min); |
| 4469 | 3540 break; |
| 3541 } | |
| 3542 } | |
| 3543 | |
| 5275 | 3544 for (octave_idx_type i = idx_i+1; i < nr; i++) |
| 4469 | 3545 { |
| 3546 Complex tmp = elem (i, j); | |
| 3547 | |
| 5389 | 3548 if (xisnan (tmp)) |
| 4469 | 3549 continue; |
| 3550 | |
| 5315 | 3551 double abs_tmp = real_only ? std::real (tmp) : std::abs (tmp); |
| 4469 | 3552 |
| 3553 if (abs_tmp < abs_min) | |
| 3554 { | |
| 3555 idx_i = i; | |
| 3556 tmp_min = tmp; | |
| 3557 abs_min = abs_tmp; | |
| 3558 } | |
| 3559 } | |
| 3560 | |
| 5389 | 3561 if (xisnan (tmp_min)) |
| 4469 | 3562 { |
| 3563 result.elem (j) = Complex_NaN_result; | |
| 4587 | 3564 idx_arg.elem (j) = 0; |
| 4469 | 3565 } |
| 891 | 3566 else |
| 3567 { | |
| 4469 | 3568 result.elem (j) = tmp_min; |
| 4587 | 3569 idx_arg.elem (j) = idx_i; |
| 891 | 3570 } |
| 458 | 3571 } |
| 3572 } | |
| 3573 | |
| 3574 return result; | |
| 3575 } | |
| 3576 | |
| 3577 ComplexRowVector | |
| 3578 ComplexMatrix::column_max (void) const | |
| 3579 { | |
| 5275 | 3580 Array<octave_idx_type> dummy_idx; |
| 4587 | 3581 return column_max (dummy_idx); |
| 458 | 3582 } |
| 3583 | |
| 3584 ComplexRowVector | |
| 5275 | 3585 ComplexMatrix::column_max (Array<octave_idx_type>& idx_arg) const |
| 458 | 3586 { |
| 3587 ComplexRowVector result; | |
| 3588 | |
| 5275 | 3589 octave_idx_type nr = rows (); |
| 3590 octave_idx_type nc = cols (); | |
| 458 | 3591 |
| 3592 if (nr > 0 && nc > 0) | |
| 3593 { | |
| 3594 result.resize (nc); | |
| 4587 | 3595 idx_arg.resize (nc); |
| 458 | 3596 |
| 5275 | 3597 for (octave_idx_type j = 0; j < nc; j++) |
| 458 | 3598 { |
| 2354 | 3599 bool real_only = column_is_real_only (j); |
| 3600 | |
| 5275 | 3601 octave_idx_type idx_i; |
| 4469 | 3602 |
| 3603 Complex tmp_max; | |
| 3604 | |
| 3605 double abs_max = octave_NaN; | |
| 3606 | |
| 3607 for (idx_i = 0; idx_i < nr; idx_i++) | |
| 3608 { | |
| 3609 tmp_max = elem (idx_i, j); | |
| 3610 | |
| 5389 | 3611 if (! xisnan (tmp_max)) |
| 4469 | 3612 { |
| 5315 | 3613 abs_max = real_only ? std::real (tmp_max) : std::abs (tmp_max); |
| 4469 | 3614 break; |
| 3615 } | |
| 3616 } | |
| 3617 | |
| 5275 | 3618 for (octave_idx_type i = idx_i+1; i < nr; i++) |
| 4469 | 3619 { |
| 3620 Complex tmp = elem (i, j); | |
| 3621 | |
| 5389 | 3622 if (xisnan (tmp)) |
| 4469 | 3623 continue; |
| 3624 | |
| 5315 | 3625 double abs_tmp = real_only ? std::real (tmp) : std::abs (tmp); |
| 4469 | 3626 |
| 3627 if (abs_tmp > abs_max) | |
| 3628 { | |
| 3629 idx_i = i; | |
| 3630 tmp_max = tmp; | |
| 3631 abs_max = abs_tmp; | |
| 3632 } | |
| 3633 } | |
| 3634 | |
| 5389 | 3635 if (xisnan (tmp_max)) |
| 4469 | 3636 { |
| 3637 result.elem (j) = Complex_NaN_result; | |
| 4587 | 3638 idx_arg.elem (j) = 0; |
| 4469 | 3639 } |
| 891 | 3640 else |
| 3641 { | |
| 4469 | 3642 result.elem (j) = tmp_max; |
| 4587 | 3643 idx_arg.elem (j) = idx_i; |
| 891 | 3644 } |
| 458 | 3645 } |
| 3646 } | |
| 3647 | |
| 3648 return result; | |
| 3649 } | |
| 3650 | |
| 3651 // i/o | |
| 3652 | |
| 3504 | 3653 std::ostream& |
| 3654 operator << (std::ostream& os, const ComplexMatrix& a) | |
| 458 | 3655 { |
| 5275 | 3656 for (octave_idx_type i = 0; i < a.rows (); i++) |
| 458 | 3657 { |
| 5275 | 3658 for (octave_idx_type j = 0; j < a.cols (); j++) |
| 4130 | 3659 { |
| 3660 os << " "; | |
| 3661 octave_write_complex (os, a.elem (i, j)); | |
| 3662 } | |
| 458 | 3663 os << "\n"; |
| 3664 } | |
| 3665 return os; | |
| 3666 } | |
| 3667 | |
| 3504 | 3668 std::istream& |
| 3669 operator >> (std::istream& is, ComplexMatrix& a) | |
| 458 | 3670 { |
| 5275 | 3671 octave_idx_type nr = a.rows (); |
| 3672 octave_idx_type nc = a.cols (); | |
| 458 | 3673 |
| 3674 if (nr < 1 || nc < 1) | |
| 3504 | 3675 is.clear (std::ios::badbit); |
| 458 | 3676 else |
| 3677 { | |
| 3678 Complex tmp; | |
| 5275 | 3679 for (octave_idx_type i = 0; i < nr; i++) |
| 3680 for (octave_idx_type j = 0; j < nc; j++) | |
| 458 | 3681 { |
| 4130 | 3682 tmp = octave_read_complex (is); |
| 458 | 3683 if (is) |
| 3684 a.elem (i, j) = tmp; | |
| 3685 else | |
| 2993 | 3686 goto done; |
| 458 | 3687 } |
| 3688 } | |
| 3689 | |
| 2993 | 3690 done: |
| 3691 | |
| 458 | 3692 return is; |
| 3693 } | |
| 3694 | |
| 1819 | 3695 ComplexMatrix |
| 3696 Givens (const Complex& x, const Complex& y) | |
| 3697 { | |
| 3698 double cc; | |
| 3699 Complex cs, temp_r; | |
| 3700 | |
| 3887 | 3701 F77_FUNC (zlartg, ZLARTG) (x, y, cc, cs, temp_r); |
| 1819 | 3702 |
| 3703 ComplexMatrix g (2, 2); | |
| 3704 | |
| 3705 g.elem (0, 0) = cc; | |
| 3706 g.elem (1, 1) = cc; | |
| 3707 g.elem (0, 1) = cs; | |
| 3708 g.elem (1, 0) = -conj (cs); | |
| 3709 | |
| 3710 return g; | |
| 3711 } | |
| 3712 | |
| 3713 ComplexMatrix | |
| 3714 Sylvester (const ComplexMatrix& a, const ComplexMatrix& b, | |
| 3715 const ComplexMatrix& c) | |
| 3716 { | |
| 3717 ComplexMatrix retval; | |
| 3718 | |
| 5775 | 3719 // FIXME -- need to check that a, b, and c are all the same |
| 1819 | 3720 // size. |
| 3721 | |
| 3722 // Compute Schur decompositions | |
| 3723 | |
| 3724 ComplexSCHUR as (a, "U"); | |
| 3725 ComplexSCHUR bs (b, "U"); | |
| 3726 | |
| 3727 // Transform c to new coordinates. | |
| 3728 | |
| 3729 ComplexMatrix ua = as.unitary_matrix (); | |
| 3730 ComplexMatrix sch_a = as.schur_matrix (); | |
| 3731 | |
| 3732 ComplexMatrix ub = bs.unitary_matrix (); | |
| 3733 ComplexMatrix sch_b = bs.schur_matrix (); | |
| 3734 | |
| 3735 ComplexMatrix cx = ua.hermitian () * c * ub; | |
| 3736 | |
| 3737 // Solve the sylvester equation, back-transform, and return the | |
| 3738 // solution. | |
| 3739 | |
| 5275 | 3740 octave_idx_type a_nr = a.rows (); |
| 3741 octave_idx_type b_nr = b.rows (); | |
| 1819 | 3742 |
| 3743 double scale; | |
| 5275 | 3744 octave_idx_type info; |
| 1950 | 3745 |
| 3746 Complex *pa = sch_a.fortran_vec (); | |
| 3747 Complex *pb = sch_b.fortran_vec (); | |
| 3748 Complex *px = cx.fortran_vec (); | |
| 1819 | 3749 |
| 4552 | 3750 F77_XFCN (ztrsyl, ZTRSYL, (F77_CONST_CHAR_ARG2 ("N", 1), |
| 3751 F77_CONST_CHAR_ARG2 ("N", 1), | |
| 3752 1, a_nr, b_nr, pa, a_nr, pb, | |
| 3753 b_nr, px, a_nr, scale, info | |
| 3754 F77_CHAR_ARG_LEN (1) | |
| 3755 F77_CHAR_ARG_LEN (1))); | |
| 1950 | 3756 |
|
7482
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
3757 // FIXME -- check info? |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
3758 |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
3759 retval = -ua * cx * ub.hermitian (); |
| 1819 | 3760 |
| 3761 return retval; | |
| 3762 } | |
| 3763 | |
| 2828 | 3764 ComplexMatrix |
| 3765 operator * (const ComplexMatrix& m, const Matrix& a) | |
| 3766 { | |
| 3767 ComplexMatrix tmp (a); | |
| 3768 return m * tmp; | |
| 3769 } | |
| 3770 | |
| 3771 ComplexMatrix | |
| 3772 operator * (const Matrix& m, const ComplexMatrix& a) | |
| 3773 { | |
| 3774 ComplexMatrix tmp (m); | |
| 3775 return tmp * a; | |
| 3776 } | |
| 3777 | |
| 6162 | 3778 /* Simple Dot Product, Matrix-Vector and Matrix-Matrix Unit tests |
| 3779 %!assert([1+i 2+i 3+i] * [ 4+i ; 5+i ; 6+i], 29+21i, 1e-14) | |
| 3780 %!assert([1+i 2+i ; 3+i 4+i ] * [5+i ; 6+i], [15 + 14i ; 37 + 18i], 1e-14) | |
| 3781 %!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) | |
| 3782 */ | |
| 3783 | |
| 3784 /* Test some simple identities | |
| 3785 %!shared M, cv, rv | |
| 3786 %! M = randn(10,10)+i*rand(10,10); | |
| 3787 %! cv = randn(10,1)+i*rand(10,1); | |
| 3788 %! rv = randn(1,10)+i*rand(1,10); | |
| 3789 %!assert([M*cv,M*cv],M*[cv,cv],1e-14) | |
| 3790 %!assert([rv*M;rv*M],[rv;rv]*M,1e-14) | |
| 3791 %!assert(2*rv*cv,[rv,rv]*[cv;cv],1e-14) | |
| 3792 */ | |
| 3793 | |
|
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
|
3794 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
|
3795 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
|
3796 { |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3797 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
|
3798 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
|
3799 } |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3800 |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3801 // 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
|
3802 |
| 2828 | 3803 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
|
3804 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
|
3805 bool transb, bool conjb, const ComplexMatrix& b) |
| 2828 | 3806 { |
| 3807 ComplexMatrix retval; | |
| 3808 | |
|
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
|
3809 // 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
|
3810 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
|
3811 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
|
3812 |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3813 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
|
3814 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
|
3815 |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3816 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
|
3817 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
|
3818 |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3819 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
|
3820 gripe_nonconformant ("operator *", a_nr, a_nc, b_nr, b_nc); |
| 2828 | 3821 else |
| 3822 { | |
|
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
|
3823 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
|
3824 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
|
3825 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
|
3826 { |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3827 octave_idx_type lda = a.rows (); |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3828 |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3829 retval.resize (a_nr, b_nc); |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3830 Complex *c = retval.fortran_vec (); |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3831 |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3832 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
|
3833 if (conja || conjb) |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3834 { |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3835 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
|
3836 F77_CONST_CHAR_ARG2 (ctransa, 1), |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3837 a_nr, a_nc, 1.0, |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3838 a.data (), lda, 0.0, c, a_nr |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3839 F77_CHAR_ARG_LEN (1) |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3840 F77_CHAR_ARG_LEN (1))); |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3841 for (int j = 0; j < a_nr; j++) |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3842 for (int i = 0; i < j; i++) |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3843 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
|
3844 } |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3845 else |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3846 { |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3847 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
|
3848 F77_CONST_CHAR_ARG2 (ctransa, 1), |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3849 a_nr, a_nc, 1.0, |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3850 a.data (), lda, 0.0, c, a_nr |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3851 F77_CHAR_ARG_LEN (1) |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3852 F77_CHAR_ARG_LEN (1))); |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3853 for (int j = 0; j < a_nr; j++) |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3854 for (int i = 0; i < j; i++) |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3855 retval.xelem (j,i) = retval.xelem (i,j); |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3856 |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3857 } |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3858 |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3859 } |
| 2828 | 3860 else |
| 3861 { | |
|
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
|
3862 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
|
3863 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
|
3864 |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3865 retval.resize (a_nr, b_nc); |
| 2828 | 3866 Complex *c = retval.fortran_vec (); |
| 3867 | |
|
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
|
3868 if (b_nc == 1 && a_nr == 1) |
| 5983 | 3869 { |
|
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
|
3870 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
|
3871 { |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3872 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
|
3873 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
|
3874 } |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3875 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
|
3876 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
|
3877 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
|
3878 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
|
3879 } |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3880 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
|
3881 { |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3882 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
|
3883 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
|
3884 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
|
3885 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
|
3886 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
|
3887 } |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3888 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
|
3889 { |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3890 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
|
3891 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
|
3892 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
|
3893 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
|
3894 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
|
3895 } |
| 5983 | 3896 else |
| 6390 | 3897 { |
|
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
|
3898 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
|
3899 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
|
3900 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
|
3901 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
|
3902 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
|
3903 lda, b.data (), ldb, 0.0, c, a_nr |
| 6390 | 3904 F77_CHAR_ARG_LEN (1) |
| 3905 F77_CHAR_ARG_LEN (1))); | |
| 3906 } | |
| 2828 | 3907 } |
| 3908 } | |
| 3909 | |
| 3910 return retval; | |
| 3911 } | |
| 3912 | |
|
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
|
3913 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
|
3914 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
|
3915 { |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3916 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
|
3917 } |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3918 |
| 5775 | 3919 // FIXME -- it would be nice to share code among the min/max |
| 4309 | 3920 // functions below. |
| 3921 | |
| 3922 #define EMPTY_RETURN_CHECK(T) \ | |
| 3923 if (nr == 0 || nc == 0) \ | |
| 3924 return T (nr, nc); | |
| 3925 | |
| 3926 ComplexMatrix | |
| 3927 min (const Complex& c, const ComplexMatrix& m) | |
| 3928 { | |
| 5275 | 3929 octave_idx_type nr = m.rows (); |
| 3930 octave_idx_type nc = m.columns (); | |
| 4309 | 3931 |
| 3932 EMPTY_RETURN_CHECK (ComplexMatrix); | |
| 3933 | |
| 3934 ComplexMatrix result (nr, nc); | |
| 3935 | |
| 5275 | 3936 for (octave_idx_type j = 0; j < nc; j++) |
| 3937 for (octave_idx_type i = 0; i < nr; i++) | |
| 4309 | 3938 { |
| 3939 OCTAVE_QUIT; | |
| 3940 result (i, j) = xmin (c, m (i, j)); | |
| 3941 } | |
| 3942 | |
| 3943 return result; | |
| 3944 } | |
| 3945 | |
| 3946 ComplexMatrix | |
| 3947 min (const ComplexMatrix& m, const Complex& c) | |
| 3948 { | |
| 5275 | 3949 octave_idx_type nr = m.rows (); |
| 3950 octave_idx_type nc = m.columns (); | |
| 4309 | 3951 |
| 3952 EMPTY_RETURN_CHECK (ComplexMatrix); | |
| 3953 | |
| 3954 ComplexMatrix result (nr, nc); | |
| 3955 | |
| 5275 | 3956 for (octave_idx_type j = 0; j < nc; j++) |
| 3957 for (octave_idx_type i = 0; i < nr; i++) | |
| 4309 | 3958 { |
| 3959 OCTAVE_QUIT; | |
| 3960 result (i, j) = xmin (m (i, j), c); | |
| 3961 } | |
| 3962 | |
| 3963 return result; | |
| 3964 } | |
| 3965 | |
| 3966 ComplexMatrix | |
| 3967 min (const ComplexMatrix& a, const ComplexMatrix& b) | |
| 3968 { | |
| 5275 | 3969 octave_idx_type nr = a.rows (); |
| 3970 octave_idx_type nc = a.columns (); | |
| 4309 | 3971 |
| 3972 if (nr != b.rows () || nc != b.columns ()) | |
| 3973 { | |
| 3974 (*current_liboctave_error_handler) | |
| 3975 ("two-arg min expecting args of same size"); | |
| 3976 return ComplexMatrix (); | |
| 3977 } | |
| 3978 | |
| 3979 EMPTY_RETURN_CHECK (ComplexMatrix); | |
| 3980 | |
| 3981 ComplexMatrix result (nr, nc); | |
| 3982 | |
| 5275 | 3983 for (octave_idx_type j = 0; j < nc; j++) |
| 4309 | 3984 { |
| 3985 int columns_are_real_only = 1; | |
| 5275 | 3986 for (octave_idx_type i = 0; i < nr; i++) |
| 4309 | 3987 { |
| 3988 OCTAVE_QUIT; | |
| 5315 | 3989 if (std::imag (a (i, j)) != 0.0 || std::imag (b (i, j)) != 0.0) |
| 4309 | 3990 { |
| 3991 columns_are_real_only = 0; | |
| 3992 break; | |
| 3993 } | |
| 3994 } | |
| 3995 | |
| 3996 if (columns_are_real_only) | |
| 3997 { | |
| 5275 | 3998 for (octave_idx_type i = 0; i < nr; i++) |
| 5315 | 3999 result (i, j) = xmin (std::real (a (i, j)), std::real (b (i, j))); |
| 4309 | 4000 } |
| 4001 else | |
| 4002 { | |
| 5275 | 4003 for (octave_idx_type i = 0; i < nr; i++) |
| 4309 | 4004 { |
| 4005 OCTAVE_QUIT; | |
| 4006 result (i, j) = xmin (a (i, j), b (i, j)); | |
| 4007 } | |
| 4008 } | |
| 4009 } | |
| 4010 | |
| 4011 return result; | |
| 4012 } | |
| 4013 | |
| 4014 ComplexMatrix | |
| 4015 max (const Complex& c, const ComplexMatrix& m) | |
| 4016 { | |
| 5275 | 4017 octave_idx_type nr = m.rows (); |
| 4018 octave_idx_type nc = m.columns (); | |
| 4309 | 4019 |
| 4020 EMPTY_RETURN_CHECK (ComplexMatrix); | |
| 4021 | |
| 4022 ComplexMatrix result (nr, nc); | |
| 4023 | |
| 5275 | 4024 for (octave_idx_type j = 0; j < nc; j++) |
| 4025 for (octave_idx_type i = 0; i < nr; i++) | |
| 4309 | 4026 { |
| 4027 OCTAVE_QUIT; | |
| 4028 result (i, j) = xmax (c, m (i, j)); | |
| 4029 } | |
| 4030 | |
| 4031 return result; | |
| 4032 } | |
| 4033 | |
| 4034 ComplexMatrix | |
| 4035 max (const ComplexMatrix& m, const Complex& c) | |
| 4036 { | |
| 5275 | 4037 octave_idx_type nr = m.rows (); |
| 4038 octave_idx_type nc = m.columns (); | |
| 4309 | 4039 |
| 4040 EMPTY_RETURN_CHECK (ComplexMatrix); | |
| 4041 | |
| 4042 ComplexMatrix result (nr, nc); | |
| 4043 | |
| 5275 | 4044 for (octave_idx_type j = 0; j < nc; j++) |
| 4045 for (octave_idx_type i = 0; i < nr; i++) | |
| 4309 | 4046 { |
| 4047 OCTAVE_QUIT; | |
| 4048 result (i, j) = xmax (m (i, j), c); | |
| 4049 } | |
| 4050 | |
| 4051 return result; | |
| 4052 } | |
| 4053 | |
| 4054 ComplexMatrix | |
| 4055 max (const ComplexMatrix& a, const ComplexMatrix& b) | |
| 4056 { | |
| 5275 | 4057 octave_idx_type nr = a.rows (); |
| 4058 octave_idx_type nc = a.columns (); | |
| 4309 | 4059 |
| 4060 if (nr != b.rows () || nc != b.columns ()) | |
| 4061 { | |
| 4062 (*current_liboctave_error_handler) | |
| 4063 ("two-arg max expecting args of same size"); | |
| 4064 return ComplexMatrix (); | |
| 4065 } | |
| 4066 | |
| 4067 EMPTY_RETURN_CHECK (ComplexMatrix); | |
| 4068 | |
| 4069 ComplexMatrix result (nr, nc); | |
| 4070 | |
| 5275 | 4071 for (octave_idx_type j = 0; j < nc; j++) |
| 4309 | 4072 { |
| 4073 int columns_are_real_only = 1; | |
| 5275 | 4074 for (octave_idx_type i = 0; i < nr; i++) |
| 4309 | 4075 { |
| 4076 OCTAVE_QUIT; | |
| 5315 | 4077 if (std::imag (a (i, j)) != 0.0 || std::imag (b (i, j)) != 0.0) |
| 4309 | 4078 { |
| 4079 columns_are_real_only = 0; | |
| 4080 break; | |
| 4081 } | |
| 4082 } | |
| 4083 | |
| 4084 if (columns_are_real_only) | |
| 4085 { | |
| 5275 | 4086 for (octave_idx_type i = 0; i < nr; i++) |
| 4309 | 4087 { |
| 4088 OCTAVE_QUIT; | |
| 5315 | 4089 result (i, j) = xmax (std::real (a (i, j)), std::real (b (i, j))); |
| 4309 | 4090 } |
| 4091 } | |
| 4092 else | |
| 4093 { | |
| 5275 | 4094 for (octave_idx_type i = 0; i < nr; i++) |
| 4309 | 4095 { |
| 4096 OCTAVE_QUIT; | |
| 4097 result (i, j) = xmax (a (i, j), b (i, j)); | |
| 4098 } | |
| 4099 } | |
| 4100 } | |
| 4101 | |
| 4102 return result; | |
| 4103 } | |
| 4104 | |
| 5315 | 4105 MS_CMP_OPS(ComplexMatrix, std::real, Complex, std::real) |
| 3504 | 4106 MS_BOOL_OPS(ComplexMatrix, Complex, 0.0) |
| 2870 | 4107 |
| 5315 | 4108 SM_CMP_OPS(Complex, std::real, ComplexMatrix, std::real) |
| 3504 | 4109 SM_BOOL_OPS(Complex, ComplexMatrix, 0.0) |
| 2870 | 4110 |
| 5315 | 4111 MM_CMP_OPS(ComplexMatrix, std::real, ComplexMatrix, std::real) |
| 3504 | 4112 MM_BOOL_OPS(ComplexMatrix, ComplexMatrix, 0.0) |
| 2870 | 4113 |
| 458 | 4114 /* |
| 4115 ;;; Local Variables: *** | |
| 4116 ;;; mode: C++ *** | |
| 4117 ;;; End: *** | |
| 4118 */ |