Mercurial > octave
annotate liboctave/CMatrix.cc @ 8801:f3ff420fccf7
eliminate some unused static variables and functions
| author | John W. Eaton <jwe@octave.org> |
|---|---|
| date | Wed, 18 Feb 2009 11:20:31 -0500 |
| parents | b756ce0002db |
| children | c7864bb74914 |
| 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" |
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59 #include "mx-op-defs.h" |
| 1650 | 60 #include "oct-cmplx.h" |
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61 #include "oct-norm.h" |
| 458 | 62 |
| 4773 | 63 #if defined (HAVE_FFTW3) |
| 3827 | 64 #include "oct-fftw.h" |
| 65 #endif | |
| 66 | |
| 458 | 67 // Fortran functions we call. |
| 68 | |
| 69 extern "C" | |
| 70 { | |
| 7477 | 71 F77_RET_T |
| 72 F77_FUNC (xilaenv, XILAENV) (const octave_idx_type&, F77_CONST_CHAR_ARG_DECL, | |
| 73 F77_CONST_CHAR_ARG_DECL, | |
| 74 const octave_idx_type&, const octave_idx_type&, | |
| 7478 | 75 const octave_idx_type&, const octave_idx_type&, |
| 76 octave_idx_type& | |
| 77 F77_CHAR_ARG_LEN_DECL F77_CHAR_ARG_LEN_DECL); | |
| 7476 | 78 |
| 4552 | 79 F77_RET_T |
| 80 F77_FUNC (zgebal, ZGEBAL) (F77_CONST_CHAR_ARG_DECL, | |
| 5275 | 81 const octave_idx_type&, Complex*, const octave_idx_type&, octave_idx_type&, |
| 82 octave_idx_type&, double*, octave_idx_type& | |
| 4552 | 83 F77_CHAR_ARG_LEN_DECL); |
| 84 | |
| 85 F77_RET_T | |
| 86 F77_FUNC (dgebak, DGEBAK) (F77_CONST_CHAR_ARG_DECL, | |
| 87 F77_CONST_CHAR_ARG_DECL, | |
| 5275 | 88 const octave_idx_type&, const octave_idx_type&, const octave_idx_type&, double*, |
| 89 const octave_idx_type&, double*, const octave_idx_type&, octave_idx_type& | |
| 4552 | 90 F77_CHAR_ARG_LEN_DECL |
| 91 F77_CHAR_ARG_LEN_DECL); | |
| 92 | |
| 93 F77_RET_T | |
| 94 F77_FUNC (zgemm, ZGEMM) (F77_CONST_CHAR_ARG_DECL, | |
| 95 F77_CONST_CHAR_ARG_DECL, | |
| 5275 | 96 const octave_idx_type&, const octave_idx_type&, const octave_idx_type&, |
| 97 const Complex&, const Complex*, const octave_idx_type&, | |
| 98 const Complex*, const octave_idx_type&, const Complex&, | |
| 99 Complex*, const octave_idx_type& | |
| 4552 | 100 F77_CHAR_ARG_LEN_DECL |
| 101 F77_CHAR_ARG_LEN_DECL); | |
| 102 | |
| 103 F77_RET_T | |
| 5983 | 104 F77_FUNC (zgemv, ZGEMV) (F77_CONST_CHAR_ARG_DECL, |
| 105 const octave_idx_type&, const octave_idx_type&, const Complex&, | |
| 106 const Complex*, const octave_idx_type&, const Complex*, | |
| 107 const octave_idx_type&, const Complex&, Complex*, const octave_idx_type& | |
| 108 F77_CHAR_ARG_LEN_DECL); | |
| 109 | |
| 110 F77_RET_T | |
| 111 F77_FUNC (xzdotu, XZDOTU) (const octave_idx_type&, const Complex*, const octave_idx_type&, | |
| 112 const Complex*, const octave_idx_type&, Complex&); | |
| 113 | |
| 114 F77_RET_T | |
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115 F77_FUNC (xzdotc, XZDOTC) (const octave_idx_type&, const Complex*, const octave_idx_type&, |
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116 const Complex*, const octave_idx_type&, Complex&); |
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117 |
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118 F77_RET_T |
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119 F77_FUNC (zsyrk, ZSYRK) (F77_CONST_CHAR_ARG_DECL, |
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120 F77_CONST_CHAR_ARG_DECL, |
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121 const octave_idx_type&, const octave_idx_type&, |
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122 const Complex&, const Complex*, const octave_idx_type&, |
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123 const Complex&, Complex*, const octave_idx_type& |
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124 F77_CHAR_ARG_LEN_DECL |
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125 F77_CHAR_ARG_LEN_DECL); |
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126 |
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127 F77_RET_T |
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128 F77_FUNC (zherk, ZHERK) (F77_CONST_CHAR_ARG_DECL, |
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129 F77_CONST_CHAR_ARG_DECL, |
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130 const octave_idx_type&, const octave_idx_type&, |
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131 const Complex&, const Complex*, const octave_idx_type&, |
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132 const Complex&, Complex*, const octave_idx_type& |
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133 F77_CHAR_ARG_LEN_DECL |
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134 F77_CHAR_ARG_LEN_DECL); |
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135 |
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136 F77_RET_T |
| 5275 | 137 F77_FUNC (zgetrf, ZGETRF) (const octave_idx_type&, const octave_idx_type&, Complex*, const octave_idx_type&, |
| 138 octave_idx_type*, octave_idx_type&); | |
| 4552 | 139 |
| 140 F77_RET_T | |
| 141 F77_FUNC (zgetrs, ZGETRS) (F77_CONST_CHAR_ARG_DECL, | |
| 5275 | 142 const octave_idx_type&, const octave_idx_type&, Complex*, const octave_idx_type&, |
| 143 const octave_idx_type*, Complex*, const octave_idx_type&, octave_idx_type& | |
| 4552 | 144 F77_CHAR_ARG_LEN_DECL); |
| 145 | |
| 146 F77_RET_T | |
| 5275 | 147 F77_FUNC (zgetri, ZGETRI) (const octave_idx_type&, Complex*, const octave_idx_type&, const octave_idx_type*, |
| 148 Complex*, const octave_idx_type&, octave_idx_type&); | |
| 4552 | 149 |
| 150 F77_RET_T | |
| 151 F77_FUNC (zgecon, ZGECON) (F77_CONST_CHAR_ARG_DECL, | |
| 5275 | 152 const octave_idx_type&, Complex*, |
| 153 const octave_idx_type&, const double&, double&, | |
| 154 Complex*, double*, octave_idx_type& | |
| 4552 | 155 F77_CHAR_ARG_LEN_DECL); |
| 156 | |
| 157 F77_RET_T | |
| 7072 | 158 F77_FUNC (zgelsy, ZGELSY) (const octave_idx_type&, const octave_idx_type&, const octave_idx_type&, |
| 159 Complex*, const octave_idx_type&, Complex*, | |
| 160 const octave_idx_type&, octave_idx_type*, double&, octave_idx_type&, | |
| 161 Complex*, const octave_idx_type&, double*, octave_idx_type&); | |
| 162 | |
| 163 F77_RET_T | |
| 164 F77_FUNC (zgelsd, ZGELSD) (const octave_idx_type&, const octave_idx_type&, const octave_idx_type&, | |
| 5275 | 165 Complex*, const octave_idx_type&, Complex*, |
| 7071 | 166 const octave_idx_type&, double*, double&, octave_idx_type&, |
| 7072 | 167 Complex*, const octave_idx_type&, double*, |
| 168 octave_idx_type*, octave_idx_type&); | |
| 458 | 169 |
| 5785 | 170 F77_RET_T |
| 171 F77_FUNC (zpotrf, ZPOTRF) (F77_CONST_CHAR_ARG_DECL, const octave_idx_type&, | |
| 172 Complex*, const octave_idx_type&, | |
| 173 octave_idx_type& F77_CHAR_ARG_LEN_DECL); | |
| 174 | |
| 175 F77_RET_T | |
| 176 F77_FUNC (zpocon, ZPOCON) (F77_CONST_CHAR_ARG_DECL, const octave_idx_type&, | |
| 177 Complex*, const octave_idx_type&, const double&, | |
| 178 double&, Complex*, double*, | |
| 179 octave_idx_type& F77_CHAR_ARG_LEN_DECL); | |
| 180 | |
| 181 F77_RET_T | |
| 182 F77_FUNC (zpotrs, ZPOTRS) (F77_CONST_CHAR_ARG_DECL, const octave_idx_type&, | |
| 183 const octave_idx_type&, const Complex*, | |
| 184 const octave_idx_type&, Complex*, | |
| 185 const octave_idx_type&, octave_idx_type& | |
| 186 F77_CHAR_ARG_LEN_DECL); | |
| 187 | |
| 188 F77_RET_T | |
| 6207 | 189 F77_FUNC (ztrtri, ZTRTRI) (F77_CONST_CHAR_ARG_DECL, F77_CONST_CHAR_ARG_DECL, |
| 190 const octave_idx_type&, const Complex*, | |
| 191 const octave_idx_type&, octave_idx_type& | |
| 192 F77_CHAR_ARG_LEN_DECL | |
| 193 F77_CHAR_ARG_LEN_DECL); | |
| 194 | |
| 195 F77_RET_T | |
| 5785 | 196 F77_FUNC (ztrcon, ZTRCON) (F77_CONST_CHAR_ARG_DECL, F77_CONST_CHAR_ARG_DECL, |
| 197 F77_CONST_CHAR_ARG_DECL, const octave_idx_type&, | |
| 198 const Complex*, const octave_idx_type&, double&, | |
| 199 Complex*, double*, octave_idx_type& | |
| 200 F77_CHAR_ARG_LEN_DECL | |
| 201 F77_CHAR_ARG_LEN_DECL | |
| 202 F77_CHAR_ARG_LEN_DECL); | |
| 203 | |
| 204 F77_RET_T | |
| 205 F77_FUNC (ztrtrs, ZTRTRS) (F77_CONST_CHAR_ARG_DECL, F77_CONST_CHAR_ARG_DECL, | |
| 206 F77_CONST_CHAR_ARG_DECL, const octave_idx_type&, | |
| 207 const octave_idx_type&, const Complex*, | |
| 208 const octave_idx_type&, Complex*, | |
| 209 const octave_idx_type&, octave_idx_type& | |
| 210 F77_CHAR_ARG_LEN_DECL | |
| 211 F77_CHAR_ARG_LEN_DECL | |
| 212 F77_CHAR_ARG_LEN_DECL); | |
| 213 | |
| 1360 | 214 // Note that the original complex fft routines were not written for |
| 215 // double complex arguments. They have been modified by adding an | |
| 216 // implicit double precision (a-h,o-z) statement at the beginning of | |
| 217 // each subroutine. | |
| 458 | 218 |
| 4552 | 219 F77_RET_T |
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220 F77_FUNC (zffti, ZFFTI) (const octave_idx_type&, Complex*); |
| 4552 | 221 |
| 222 F77_RET_T | |
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223 F77_FUNC (zfftf, ZFFTF) (const octave_idx_type&, Complex*, Complex*); |
| 4552 | 224 |
| 225 F77_RET_T | |
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226 F77_FUNC (zfftb, ZFFTB) (const octave_idx_type&, Complex*, Complex*); |
| 4552 | 227 |
| 228 F77_RET_T | |
| 229 F77_FUNC (zlartg, ZLARTG) (const Complex&, const Complex&, | |
| 230 double&, Complex&, Complex&); | |
| 231 | |
| 232 F77_RET_T | |
| 233 F77_FUNC (ztrsyl, ZTRSYL) (F77_CONST_CHAR_ARG_DECL, | |
| 234 F77_CONST_CHAR_ARG_DECL, | |
| 5275 | 235 const octave_idx_type&, const octave_idx_type&, const octave_idx_type&, |
| 236 const Complex*, const octave_idx_type&, | |
| 237 const Complex*, const octave_idx_type&, | |
| 238 const Complex*, const octave_idx_type&, double&, octave_idx_type& | |
| 4552 | 239 F77_CHAR_ARG_LEN_DECL |
| 240 F77_CHAR_ARG_LEN_DECL); | |
| 241 | |
| 242 F77_RET_T | |
| 243 F77_FUNC (xzlange, XZLANGE) (F77_CONST_CHAR_ARG_DECL, | |
| 5275 | 244 const octave_idx_type&, const octave_idx_type&, const Complex*, |
| 245 const octave_idx_type&, double*, double& | |
| 4552 | 246 F77_CHAR_ARG_LEN_DECL); |
| 458 | 247 } |
| 248 | |
| 2354 | 249 static const Complex Complex_NaN_result (octave_NaN, octave_NaN); |
| 250 | |
| 1360 | 251 // Complex Matrix class |
| 458 | 252 |
| 253 ComplexMatrix::ComplexMatrix (const Matrix& a) | |
| 1214 | 254 : MArray2<Complex> (a.rows (), a.cols ()) |
| 458 | 255 { |
| 5275 | 256 for (octave_idx_type j = 0; j < cols (); j++) |
| 257 for (octave_idx_type i = 0; i < rows (); i++) | |
| 458 | 258 elem (i, j) = a.elem (i, j); |
| 259 } | |
| 260 | |
| 2349 | 261 ComplexMatrix::ComplexMatrix (const RowVector& rv) |
| 262 : MArray2<Complex> (1, rv.length (), 0.0) | |
| 263 { | |
| 5275 | 264 for (octave_idx_type i = 0; i < rv.length (); i++) |
| 2349 | 265 elem (0, i) = rv.elem (i); |
| 266 } | |
| 267 | |
| 268 ComplexMatrix::ComplexMatrix (const ColumnVector& cv) | |
| 269 : MArray2<Complex> (cv.length (), 1, 0.0) | |
| 270 { | |
| 5275 | 271 for (octave_idx_type i = 0; i < cv.length (); i++) |
| 2349 | 272 elem (i, 0) = cv.elem (i); |
| 273 } | |
| 274 | |
| 458 | 275 ComplexMatrix::ComplexMatrix (const DiagMatrix& a) |
| 1214 | 276 : MArray2<Complex> (a.rows (), a.cols (), 0.0) |
| 458 | 277 { |
| 5275 | 278 for (octave_idx_type i = 0; i < a.length (); i++) |
| 458 | 279 elem (i, i) = a.elem (i, i); |
| 280 } | |
| 281 | |
| 2349 | 282 ComplexMatrix::ComplexMatrix (const ComplexRowVector& rv) |
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283 : MArray2<Complex> (Array2<Complex> (rv, 1, rv.length ())) |
| 2349 | 284 { |
| 285 } | |
| 286 | |
| 287 ComplexMatrix::ComplexMatrix (const ComplexColumnVector& cv) | |
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288 : MArray2<Complex> (Array2<Complex> (cv, cv.length (), 1)) |
| 2349 | 289 { |
| 290 } | |
| 291 | |
| 458 | 292 ComplexMatrix::ComplexMatrix (const ComplexDiagMatrix& a) |
| 1214 | 293 : MArray2<Complex> (a.rows (), a.cols (), 0.0) |
| 458 | 294 { |
| 5275 | 295 for (octave_idx_type i = 0; i < a.length (); i++) |
| 458 | 296 elem (i, i) = a.elem (i, i); |
| 297 } | |
| 298 | |
| 5775 | 299 // FIXME -- could we use a templated mixed-type copy function |
| 1574 | 300 // here? |
| 301 | |
| 2828 | 302 ComplexMatrix::ComplexMatrix (const boolMatrix& a) |
| 3180 | 303 : MArray2<Complex> (a.rows (), a.cols (), 0.0) |
| 2828 | 304 { |
| 5275 | 305 for (octave_idx_type i = 0; i < a.rows (); i++) |
| 306 for (octave_idx_type j = 0; j < a.cols (); j++) | |
| 2828 | 307 elem (i, j) = a.elem (i, j); |
| 308 } | |
| 309 | |
| 1574 | 310 ComplexMatrix::ComplexMatrix (const charMatrix& a) |
| 3180 | 311 : MArray2<Complex> (a.rows (), a.cols (), 0.0) |
| 1574 | 312 { |
| 5275 | 313 for (octave_idx_type i = 0; i < a.rows (); i++) |
| 314 for (octave_idx_type j = 0; j < a.cols (); j++) | |
| 1574 | 315 elem (i, j) = a.elem (i, j); |
| 316 } | |
| 317 | |
| 2384 | 318 bool |
| 458 | 319 ComplexMatrix::operator == (const ComplexMatrix& a) const |
| 320 { | |
| 321 if (rows () != a.rows () || cols () != a.cols ()) | |
| 2384 | 322 return false; |
| 458 | 323 |
| 3769 | 324 return mx_inline_equal (data (), a.data (), length ()); |
| 458 | 325 } |
| 326 | |
| 2384 | 327 bool |
| 458 | 328 ComplexMatrix::operator != (const ComplexMatrix& a) const |
| 329 { | |
| 330 return !(*this == a); | |
| 331 } | |
| 332 | |
| 2815 | 333 bool |
| 334 ComplexMatrix::is_hermitian (void) const | |
| 335 { | |
| 5275 | 336 octave_idx_type nr = rows (); |
| 337 octave_idx_type nc = cols (); | |
| 2815 | 338 |
| 339 if (is_square () && nr > 0) | |
| 340 { | |
| 5275 | 341 for (octave_idx_type i = 0; i < nr; i++) |
| 342 for (octave_idx_type j = i; j < nc; j++) | |
| 2815 | 343 if (elem (i, j) != conj (elem (j, i))) |
| 344 return false; | |
| 345 | |
| 346 return true; | |
| 347 } | |
| 348 | |
| 349 return false; | |
| 350 } | |
| 351 | |
| 458 | 352 // destructive insert/delete/reorder operations |
| 353 | |
| 354 ComplexMatrix& | |
| 5275 | 355 ComplexMatrix::insert (const Matrix& a, octave_idx_type r, octave_idx_type c) |
| 458 | 356 { |
| 5275 | 357 octave_idx_type a_nr = a.rows (); |
| 358 octave_idx_type a_nc = a.cols (); | |
| 1699 | 359 |
| 360 if (r < 0 || r + a_nr > rows () || c < 0 || c + a_nc > cols ()) | |
| 458 | 361 { |
| 362 (*current_liboctave_error_handler) ("range error for insert"); | |
| 363 return *this; | |
| 364 } | |
| 365 | |
| 4316 | 366 if (a_nr >0 && a_nc > 0) |
| 367 { | |
| 368 make_unique (); | |
| 369 | |
| 5275 | 370 for (octave_idx_type j = 0; j < a_nc; j++) |
| 371 for (octave_idx_type i = 0; i < a_nr; i++) | |
| 4316 | 372 xelem (r+i, c+j) = a.elem (i, j); |
| 373 } | |
| 458 | 374 |
| 375 return *this; | |
| 376 } | |
| 377 | |
| 378 ComplexMatrix& | |
| 5275 | 379 ComplexMatrix::insert (const RowVector& a, octave_idx_type r, octave_idx_type c) |
| 458 | 380 { |
| 5275 | 381 octave_idx_type a_len = a.length (); |
| 4316 | 382 |
| 1699 | 383 if (r < 0 || r >= rows () || c < 0 || c + a_len > cols ()) |
| 458 | 384 { |
| 385 (*current_liboctave_error_handler) ("range error for insert"); | |
| 386 return *this; | |
| 387 } | |
| 388 | |
| 4316 | 389 if (a_len > 0) |
| 390 { | |
| 391 make_unique (); | |
| 392 | |
| 5275 | 393 for (octave_idx_type i = 0; i < a_len; i++) |
| 4316 | 394 xelem (r, c+i) = a.elem (i); |
| 395 } | |
| 458 | 396 |
| 397 return *this; | |
| 398 } | |
| 399 | |
| 400 ComplexMatrix& | |
| 5275 | 401 ComplexMatrix::insert (const ColumnVector& a, octave_idx_type r, octave_idx_type c) |
| 458 | 402 { |
| 5275 | 403 octave_idx_type a_len = a.length (); |
| 4316 | 404 |
| 1699 | 405 if (r < 0 || r + a_len > rows () || c < 0 || c >= cols ()) |
| 458 | 406 { |
| 407 (*current_liboctave_error_handler) ("range error for insert"); | |
| 408 return *this; | |
| 409 } | |
| 410 | |
| 4316 | 411 if (a_len > 0) |
| 412 { | |
| 413 make_unique (); | |
| 414 | |
| 5275 | 415 for (octave_idx_type i = 0; i < a_len; i++) |
| 4316 | 416 xelem (r+i, c) = a.elem (i); |
| 417 } | |
| 458 | 418 |
| 419 return *this; | |
| 420 } | |
| 421 | |
| 422 ComplexMatrix& | |
| 5275 | 423 ComplexMatrix::insert (const DiagMatrix& a, octave_idx_type r, octave_idx_type c) |
| 458 | 424 { |
| 5275 | 425 octave_idx_type a_nr = a.rows (); |
| 426 octave_idx_type a_nc = a.cols (); | |
| 1699 | 427 |
| 428 if (r < 0 || r + a_nr > rows () || c < 0 || c + a_nc > cols ()) | |
| 458 | 429 { |
| 430 (*current_liboctave_error_handler) ("range error for insert"); | |
| 431 return *this; | |
| 432 } | |
| 433 | |
| 1699 | 434 fill (0.0, r, c, r + a_nr - 1, c + a_nc - 1); |
| 435 | |
| 5275 | 436 octave_idx_type a_len = a.length (); |
| 4316 | 437 |
| 438 if (a_len > 0) | |
| 439 { | |
| 440 make_unique (); | |
| 441 | |
| 5275 | 442 for (octave_idx_type i = 0; i < a_len; i++) |
| 4316 | 443 xelem (r+i, c+i) = a.elem (i, i); |
| 444 } | |
| 458 | 445 |
| 446 return *this; | |
| 447 } | |
| 448 | |
| 449 ComplexMatrix& | |
| 5275 | 450 ComplexMatrix::insert (const ComplexMatrix& a, octave_idx_type r, octave_idx_type c) |
| 458 | 451 { |
| 1561 | 452 Array2<Complex>::insert (a, r, c); |
| 458 | 453 return *this; |
| 454 } | |
| 455 | |
| 456 ComplexMatrix& | |
| 5275 | 457 ComplexMatrix::insert (const ComplexRowVector& a, octave_idx_type r, octave_idx_type c) |
| 458 | 458 { |
| 5275 | 459 octave_idx_type a_len = a.length (); |
| 1699 | 460 if (r < 0 || r >= rows () || c < 0 || c + a_len > cols ()) |
| 458 | 461 { |
| 462 (*current_liboctave_error_handler) ("range error for insert"); | |
| 463 return *this; | |
| 464 } | |
| 465 | |
| 5275 | 466 for (octave_idx_type i = 0; i < a_len; i++) |
| 458 | 467 elem (r, c+i) = a.elem (i); |
| 468 | |
| 469 return *this; | |
| 470 } | |
| 471 | |
| 472 ComplexMatrix& | |
| 5275 | 473 ComplexMatrix::insert (const ComplexColumnVector& a, octave_idx_type r, octave_idx_type c) |
| 458 | 474 { |
| 5275 | 475 octave_idx_type a_len = a.length (); |
| 4316 | 476 |
| 1699 | 477 if (r < 0 || r + a_len > rows () || c < 0 || c >= cols ()) |
| 458 | 478 { |
| 479 (*current_liboctave_error_handler) ("range error for insert"); | |
| 480 return *this; | |
| 481 } | |
| 482 | |
| 4316 | 483 if (a_len > 0) |
| 484 { | |
| 485 make_unique (); | |
| 486 | |
| 5275 | 487 for (octave_idx_type i = 0; i < a_len; i++) |
| 4316 | 488 xelem (r+i, c) = a.elem (i); |
| 489 } | |
| 458 | 490 |
| 491 return *this; | |
| 492 } | |
| 493 | |
| 494 ComplexMatrix& | |
| 5275 | 495 ComplexMatrix::insert (const ComplexDiagMatrix& a, octave_idx_type r, octave_idx_type c) |
| 458 | 496 { |
| 5275 | 497 octave_idx_type a_nr = a.rows (); |
| 498 octave_idx_type a_nc = a.cols (); | |
| 1699 | 499 |
| 500 if (r < 0 || r + a_nr > rows () || c < 0 || c + a_nc > cols ()) | |
| 458 | 501 { |
| 502 (*current_liboctave_error_handler) ("range error for insert"); | |
| 503 return *this; | |
| 504 } | |
| 505 | |
| 1699 | 506 fill (0.0, r, c, r + a_nr - 1, c + a_nc - 1); |
| 507 | |
| 5275 | 508 octave_idx_type a_len = a.length (); |
| 4316 | 509 |
| 510 if (a_len > 0) | |
| 511 { | |
| 512 make_unique (); | |
| 513 | |
| 5275 | 514 for (octave_idx_type i = 0; i < a_len; i++) |
| 4316 | 515 xelem (r+i, c+i) = a.elem (i, i); |
| 516 } | |
| 458 | 517 |
| 518 return *this; | |
| 519 } | |
| 520 | |
| 521 ComplexMatrix& | |
| 522 ComplexMatrix::fill (double val) | |
| 523 { | |
| 5275 | 524 octave_idx_type nr = rows (); |
| 525 octave_idx_type nc = cols (); | |
| 4316 | 526 |
| 458 | 527 if (nr > 0 && nc > 0) |
| 4316 | 528 { |
| 529 make_unique (); | |
| 530 | |
| 5275 | 531 for (octave_idx_type j = 0; j < nc; j++) |
| 532 for (octave_idx_type i = 0; i < nr; i++) | |
| 4316 | 533 xelem (i, j) = val; |
| 534 } | |
| 458 | 535 |
| 536 return *this; | |
| 537 } | |
| 538 | |
| 539 ComplexMatrix& | |
| 540 ComplexMatrix::fill (const Complex& val) | |
| 541 { | |
| 5275 | 542 octave_idx_type nr = rows (); |
| 543 octave_idx_type nc = cols (); | |
| 4316 | 544 |
| 458 | 545 if (nr > 0 && nc > 0) |
| 4316 | 546 { |
| 547 make_unique (); | |
| 548 | |
| 5275 | 549 for (octave_idx_type j = 0; j < nc; j++) |
| 550 for (octave_idx_type i = 0; i < nr; i++) | |
| 4316 | 551 xelem (i, j) = val; |
| 552 } | |
| 458 | 553 |
| 554 return *this; | |
| 555 } | |
| 556 | |
| 557 ComplexMatrix& | |
| 5275 | 558 ComplexMatrix::fill (double val, octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2) |
| 458 | 559 { |
| 5275 | 560 octave_idx_type nr = rows (); |
| 561 octave_idx_type nc = cols (); | |
| 4316 | 562 |
| 458 | 563 if (r1 < 0 || r2 < 0 || c1 < 0 || c2 < 0 |
| 564 || r1 >= nr || r2 >= nr || c1 >= nc || c2 >= nc) | |
| 565 { | |
| 566 (*current_liboctave_error_handler) ("range error for fill"); | |
| 567 return *this; | |
| 568 } | |
| 569 | |
| 5275 | 570 if (r1 > r2) { octave_idx_type tmp = r1; r1 = r2; r2 = tmp; } |
| 571 if (c1 > c2) { octave_idx_type tmp = c1; c1 = c2; c2 = tmp; } | |
| 458 | 572 |
| 4316 | 573 if (r2 >= r1 && c2 >= c1) |
| 574 { | |
| 575 make_unique (); | |
| 576 | |
| 5275 | 577 for (octave_idx_type j = c1; j <= c2; j++) |
| 578 for (octave_idx_type i = r1; i <= r2; i++) | |
| 4316 | 579 xelem (i, j) = val; |
| 580 } | |
| 458 | 581 |
| 582 return *this; | |
| 583 } | |
| 584 | |
| 585 ComplexMatrix& | |
| 5275 | 586 ComplexMatrix::fill (const Complex& val, octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2) |
| 458 | 587 { |
| 5275 | 588 octave_idx_type nr = rows (); |
| 589 octave_idx_type nc = cols (); | |
| 4316 | 590 |
| 458 | 591 if (r1 < 0 || r2 < 0 || c1 < 0 || c2 < 0 |
| 592 || r1 >= nr || r2 >= nr || c1 >= nc || c2 >= nc) | |
| 593 { | |
| 594 (*current_liboctave_error_handler) ("range error for fill"); | |
| 595 return *this; | |
| 596 } | |
| 597 | |
| 5275 | 598 if (r1 > r2) { octave_idx_type tmp = r1; r1 = r2; r2 = tmp; } |
| 599 if (c1 > c2) { octave_idx_type tmp = c1; c1 = c2; c2 = tmp; } | |
| 458 | 600 |
| 4316 | 601 if (r2 >= r1 && c2 >=c1) |
| 602 { | |
| 603 make_unique (); | |
| 604 | |
| 5275 | 605 for (octave_idx_type j = c1; j <= c2; j++) |
| 606 for (octave_idx_type i = r1; i <= r2; i++) | |
| 4316 | 607 xelem (i, j) = val; |
| 608 } | |
| 458 | 609 |
| 610 return *this; | |
| 611 } | |
| 612 | |
| 613 ComplexMatrix | |
| 614 ComplexMatrix::append (const Matrix& a) const | |
| 615 { | |
| 5275 | 616 octave_idx_type nr = rows (); |
| 617 octave_idx_type nc = cols (); | |
| 458 | 618 if (nr != a.rows ()) |
| 619 { | |
| 620 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 621 return *this; | |
| 622 } | |
| 623 | |
| 5275 | 624 octave_idx_type nc_insert = nc; |
| 458 | 625 ComplexMatrix retval (nr, nc + a.cols ()); |
| 626 retval.insert (*this, 0, 0); | |
| 627 retval.insert (a, 0, nc_insert); | |
| 628 return retval; | |
| 629 } | |
| 630 | |
| 631 ComplexMatrix | |
| 632 ComplexMatrix::append (const RowVector& a) const | |
| 633 { | |
| 5275 | 634 octave_idx_type nr = rows (); |
| 635 octave_idx_type nc = cols (); | |
| 458 | 636 if (nr != 1) |
| 637 { | |
| 638 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 639 return *this; | |
| 640 } | |
| 641 | |
| 5275 | 642 octave_idx_type nc_insert = nc; |
| 458 | 643 ComplexMatrix retval (nr, nc + a.length ()); |
| 644 retval.insert (*this, 0, 0); | |
| 645 retval.insert (a, 0, nc_insert); | |
| 646 return retval; | |
| 647 } | |
| 648 | |
| 649 ComplexMatrix | |
| 650 ComplexMatrix::append (const ColumnVector& a) const | |
| 651 { | |
| 5275 | 652 octave_idx_type nr = rows (); |
| 653 octave_idx_type nc = cols (); | |
| 458 | 654 if (nr != a.length ()) |
| 655 { | |
| 656 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 657 return *this; | |
| 658 } | |
| 659 | |
| 5275 | 660 octave_idx_type nc_insert = nc; |
| 458 | 661 ComplexMatrix retval (nr, nc + 1); |
| 662 retval.insert (*this, 0, 0); | |
| 663 retval.insert (a, 0, nc_insert); | |
| 664 return retval; | |
| 665 } | |
| 666 | |
| 667 ComplexMatrix | |
| 668 ComplexMatrix::append (const DiagMatrix& a) const | |
| 669 { | |
| 5275 | 670 octave_idx_type nr = rows (); |
| 671 octave_idx_type nc = cols (); | |
| 458 | 672 if (nr != a.rows ()) |
| 673 { | |
| 674 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 675 return *this; | |
| 676 } | |
| 677 | |
| 5275 | 678 octave_idx_type nc_insert = nc; |
| 458 | 679 ComplexMatrix retval (nr, nc + a.cols ()); |
| 680 retval.insert (*this, 0, 0); | |
| 681 retval.insert (a, 0, nc_insert); | |
| 682 return retval; | |
| 683 } | |
| 684 | |
| 685 ComplexMatrix | |
| 686 ComplexMatrix::append (const ComplexMatrix& a) const | |
| 687 { | |
| 5275 | 688 octave_idx_type nr = rows (); |
| 689 octave_idx_type nc = cols (); | |
| 458 | 690 if (nr != a.rows ()) |
| 691 { | |
| 692 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 693 return *this; | |
| 694 } | |
| 695 | |
| 5275 | 696 octave_idx_type nc_insert = nc; |
| 458 | 697 ComplexMatrix retval (nr, nc + a.cols ()); |
| 698 retval.insert (*this, 0, 0); | |
| 699 retval.insert (a, 0, nc_insert); | |
| 700 return retval; | |
| 701 } | |
| 702 | |
| 703 ComplexMatrix | |
| 704 ComplexMatrix::append (const ComplexRowVector& a) const | |
| 705 { | |
| 5275 | 706 octave_idx_type nr = rows (); |
| 707 octave_idx_type nc = cols (); | |
| 458 | 708 if (nr != 1) |
| 709 { | |
| 710 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 711 return *this; | |
| 712 } | |
| 713 | |
| 5275 | 714 octave_idx_type nc_insert = nc; |
| 458 | 715 ComplexMatrix retval (nr, nc + a.length ()); |
| 716 retval.insert (*this, 0, 0); | |
| 717 retval.insert (a, 0, nc_insert); | |
| 718 return retval; | |
| 719 } | |
| 720 | |
| 721 ComplexMatrix | |
| 722 ComplexMatrix::append (const ComplexColumnVector& a) const | |
| 723 { | |
| 5275 | 724 octave_idx_type nr = rows (); |
| 725 octave_idx_type nc = cols (); | |
| 458 | 726 if (nr != a.length ()) |
| 727 { | |
| 728 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 729 return *this; | |
| 730 } | |
| 731 | |
| 5275 | 732 octave_idx_type nc_insert = nc; |
| 458 | 733 ComplexMatrix retval (nr, nc + 1); |
| 734 retval.insert (*this, 0, 0); | |
| 735 retval.insert (a, 0, nc_insert); | |
| 736 return retval; | |
| 737 } | |
| 738 | |
| 739 ComplexMatrix | |
| 740 ComplexMatrix::append (const ComplexDiagMatrix& a) const | |
| 741 { | |
| 5275 | 742 octave_idx_type nr = rows (); |
| 743 octave_idx_type nc = cols (); | |
| 458 | 744 if (nr != a.rows ()) |
| 745 { | |
| 746 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 747 return *this; | |
| 748 } | |
| 749 | |
| 5275 | 750 octave_idx_type nc_insert = nc; |
| 458 | 751 ComplexMatrix retval (nr, nc + a.cols ()); |
| 752 retval.insert (*this, 0, 0); | |
| 753 retval.insert (a, 0, nc_insert); | |
| 754 return retval; | |
| 755 } | |
| 756 | |
| 757 ComplexMatrix | |
| 758 ComplexMatrix::stack (const Matrix& a) const | |
| 759 { | |
| 5275 | 760 octave_idx_type nr = rows (); |
| 761 octave_idx_type nc = cols (); | |
| 458 | 762 if (nc != a.cols ()) |
| 763 { | |
| 764 (*current_liboctave_error_handler) | |
| 765 ("column dimension mismatch for stack"); | |
| 766 return *this; | |
| 767 } | |
| 768 | |
| 5275 | 769 octave_idx_type nr_insert = nr; |
| 458 | 770 ComplexMatrix retval (nr + a.rows (), nc); |
| 771 retval.insert (*this, 0, 0); | |
| 772 retval.insert (a, nr_insert, 0); | |
| 773 return retval; | |
| 774 } | |
| 775 | |
| 776 ComplexMatrix | |
| 777 ComplexMatrix::stack (const RowVector& a) const | |
| 778 { | |
| 5275 | 779 octave_idx_type nr = rows (); |
| 780 octave_idx_type nc = cols (); | |
| 458 | 781 if (nc != a.length ()) |
| 782 { | |
| 783 (*current_liboctave_error_handler) | |
| 784 ("column dimension mismatch for stack"); | |
| 785 return *this; | |
| 786 } | |
| 787 | |
| 5275 | 788 octave_idx_type nr_insert = nr; |
| 458 | 789 ComplexMatrix retval (nr + 1, nc); |
| 790 retval.insert (*this, 0, 0); | |
| 791 retval.insert (a, nr_insert, 0); | |
| 792 return retval; | |
| 793 } | |
| 794 | |
| 795 ComplexMatrix | |
| 796 ComplexMatrix::stack (const ColumnVector& a) const | |
| 797 { | |
| 5275 | 798 octave_idx_type nr = rows (); |
| 799 octave_idx_type nc = cols (); | |
| 458 | 800 if (nc != 1) |
| 801 { | |
| 802 (*current_liboctave_error_handler) | |
| 803 ("column dimension mismatch for stack"); | |
| 804 return *this; | |
| 805 } | |
| 806 | |
| 5275 | 807 octave_idx_type nr_insert = nr; |
| 458 | 808 ComplexMatrix retval (nr + a.length (), nc); |
| 809 retval.insert (*this, 0, 0); | |
| 810 retval.insert (a, nr_insert, 0); | |
| 811 return retval; | |
| 812 } | |
| 813 | |
| 814 ComplexMatrix | |
| 815 ComplexMatrix::stack (const DiagMatrix& a) const | |
| 816 { | |
| 5275 | 817 octave_idx_type nr = rows (); |
| 818 octave_idx_type nc = cols (); | |
| 458 | 819 if (nc != a.cols ()) |
| 820 { | |
| 821 (*current_liboctave_error_handler) | |
| 822 ("column dimension mismatch for stack"); | |
| 823 return *this; | |
| 824 } | |
| 825 | |
| 5275 | 826 octave_idx_type nr_insert = nr; |
| 458 | 827 ComplexMatrix retval (nr + a.rows (), nc); |
| 828 retval.insert (*this, 0, 0); | |
| 829 retval.insert (a, nr_insert, 0); | |
| 830 return retval; | |
| 831 } | |
| 832 | |
| 833 ComplexMatrix | |
| 834 ComplexMatrix::stack (const ComplexMatrix& a) const | |
| 835 { | |
| 5275 | 836 octave_idx_type nr = rows (); |
| 837 octave_idx_type nc = cols (); | |
| 458 | 838 if (nc != a.cols ()) |
| 839 { | |
| 840 (*current_liboctave_error_handler) | |
| 841 ("column dimension mismatch for stack"); | |
| 842 return *this; | |
| 843 } | |
| 844 | |
| 5275 | 845 octave_idx_type nr_insert = nr; |
| 458 | 846 ComplexMatrix retval (nr + a.rows (), nc); |
| 847 retval.insert (*this, 0, 0); | |
| 848 retval.insert (a, nr_insert, 0); | |
| 849 return retval; | |
| 850 } | |
| 851 | |
| 852 ComplexMatrix | |
| 853 ComplexMatrix::stack (const ComplexRowVector& a) const | |
| 854 { | |
| 5275 | 855 octave_idx_type nr = rows (); |
| 856 octave_idx_type nc = cols (); | |
| 458 | 857 if (nc != a.length ()) |
| 858 { | |
| 859 (*current_liboctave_error_handler) | |
| 860 ("column dimension mismatch for stack"); | |
| 861 return *this; | |
| 862 } | |
| 863 | |
| 5275 | 864 octave_idx_type nr_insert = nr; |
| 458 | 865 ComplexMatrix retval (nr + 1, nc); |
| 866 retval.insert (*this, 0, 0); | |
| 867 retval.insert (a, nr_insert, 0); | |
| 868 return retval; | |
| 869 } | |
| 870 | |
| 871 ComplexMatrix | |
| 872 ComplexMatrix::stack (const ComplexColumnVector& a) const | |
| 873 { | |
| 5275 | 874 octave_idx_type nr = rows (); |
| 875 octave_idx_type nc = cols (); | |
| 458 | 876 if (nc != 1) |
| 877 { | |
| 878 (*current_liboctave_error_handler) | |
| 879 ("column dimension mismatch for stack"); | |
| 880 return *this; | |
| 881 } | |
| 882 | |
| 5275 | 883 octave_idx_type nr_insert = nr; |
| 458 | 884 ComplexMatrix retval (nr + a.length (), nc); |
| 885 retval.insert (*this, 0, 0); | |
| 886 retval.insert (a, nr_insert, 0); | |
| 887 return retval; | |
| 888 } | |
| 889 | |
| 890 ComplexMatrix | |
| 891 ComplexMatrix::stack (const ComplexDiagMatrix& a) const | |
| 892 { | |
| 5275 | 893 octave_idx_type nr = rows (); |
| 894 octave_idx_type nc = cols (); | |
| 458 | 895 if (nc != a.cols ()) |
| 896 { | |
| 897 (*current_liboctave_error_handler) | |
| 898 ("column dimension mismatch for stack"); | |
| 899 return *this; | |
| 900 } | |
| 901 | |
| 5275 | 902 octave_idx_type nr_insert = nr; |
| 458 | 903 ComplexMatrix retval (nr + a.rows (), nc); |
| 904 retval.insert (*this, 0, 0); | |
| 905 retval.insert (a, nr_insert, 0); | |
| 906 return retval; | |
| 907 } | |
| 908 | |
| 909 ComplexMatrix | |
| 910 conj (const ComplexMatrix& a) | |
| 911 { | |
|
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
|
912 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
|
913 a.rows (), a.cols ()); |
| 458 | 914 } |
| 915 | |
| 916 // resize is the destructive equivalent for this one | |
| 917 | |
| 918 ComplexMatrix | |
| 5275 | 919 ComplexMatrix::extract (octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2) const |
| 458 | 920 { |
| 5275 | 921 if (r1 > r2) { octave_idx_type tmp = r1; r1 = r2; r2 = tmp; } |
| 922 if (c1 > c2) { octave_idx_type tmp = c1; c1 = c2; c2 = tmp; } | |
| 923 | |
| 924 octave_idx_type new_r = r2 - r1 + 1; | |
| 925 octave_idx_type new_c = c2 - c1 + 1; | |
| 458 | 926 |
| 927 ComplexMatrix result (new_r, new_c); | |
| 928 | |
| 5275 | 929 for (octave_idx_type j = 0; j < new_c; j++) |
| 930 for (octave_idx_type i = 0; i < new_r; i++) | |
| 4316 | 931 result.xelem (i, j) = elem (r1+i, c1+j); |
| 932 | |
| 933 return result; | |
| 934 } | |
| 935 | |
| 936 ComplexMatrix | |
| 5275 | 937 ComplexMatrix::extract_n (octave_idx_type r1, octave_idx_type c1, octave_idx_type nr, octave_idx_type nc) const |
| 4316 | 938 { |
| 939 ComplexMatrix result (nr, nc); | |
| 940 | |
| 5275 | 941 for (octave_idx_type j = 0; j < nc; j++) |
| 942 for (octave_idx_type i = 0; i < nr; i++) | |
| 4316 | 943 result.xelem (i, j) = elem (r1+i, c1+j); |
| 458 | 944 |
| 945 return result; | |
| 946 } | |
| 947 | |
| 948 // extract row or column i. | |
| 949 | |
| 950 ComplexRowVector | |
| 5275 | 951 ComplexMatrix::row (octave_idx_type i) const |
| 458 | 952 { |
|
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953 return MArray<Complex> (index (idx_vector (i), idx_vector::colon)); |
| 458 | 954 } |
| 955 | |
| 956 ComplexColumnVector | |
| 5275 | 957 ComplexMatrix::column (octave_idx_type i) const |
| 458 | 958 { |
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959 return MArray<Complex> (index (idx_vector::colon, idx_vector (i))); |
| 458 | 960 } |
| 961 | |
| 962 ComplexMatrix | |
| 963 ComplexMatrix::inverse (void) const | |
| 964 { | |
| 5275 | 965 octave_idx_type info; |
| 7788 | 966 double rcon; |
| 6207 | 967 MatrixType mattype (*this); |
| 7788 | 968 return inverse (mattype, info, rcon, 0, 0); |
| 6207 | 969 } |
| 970 | |
| 971 ComplexMatrix | |
| 6479 | 972 ComplexMatrix::inverse (octave_idx_type& info) const |
| 973 { | |
| 7788 | 974 double rcon; |
| 6479 | 975 MatrixType mattype (*this); |
| 7788 | 976 return inverse (mattype, info, rcon, 0, 0); |
| 6479 | 977 } |
| 978 | |
| 979 ComplexMatrix | |
| 7788 | 980 ComplexMatrix::inverse (octave_idx_type& info, double& rcon, int force, |
| 6479 | 981 int calc_cond) const |
| 982 { | |
| 983 MatrixType mattype (*this); | |
| 7788 | 984 return inverse (mattype, info, rcon, force, calc_cond); |
| 6479 | 985 } |
| 986 | |
| 987 ComplexMatrix | |
| 6207 | 988 ComplexMatrix::inverse (MatrixType &mattype) const |
| 989 { | |
| 990 octave_idx_type info; | |
| 7788 | 991 double rcon; |
| 992 return inverse (mattype, info, rcon, 0, 0); | |
| 6207 | 993 } |
| 994 | |
| 995 ComplexMatrix | |
| 996 ComplexMatrix::inverse (MatrixType &mattype, octave_idx_type& info) const | |
| 997 { | |
| 7788 | 998 double rcon; |
| 999 return inverse (mattype, info, rcon, 0, 0); | |
| 458 | 1000 } |
| 1001 | |
| 1002 ComplexMatrix | |
| 6207 | 1003 ComplexMatrix::tinverse (MatrixType &mattype, octave_idx_type& info, |
| 7788 | 1004 double& rcon, int force, int calc_cond) const |
| 458 | 1005 { |
| 6207 | 1006 ComplexMatrix retval; |
| 1007 | |
| 1008 octave_idx_type nr = rows (); | |
| 1009 octave_idx_type nc = cols (); | |
| 1010 | |
| 1011 if (nr != nc || nr == 0 || nc == 0) | |
| 1012 (*current_liboctave_error_handler) ("inverse requires square matrix"); | |
| 1013 else | |
| 1014 { | |
| 1015 int typ = mattype.type (); | |
| 1016 char uplo = (typ == MatrixType::Lower ? 'L' : 'U'); | |
| 1017 char udiag = 'N'; | |
| 1018 retval = *this; | |
| 1019 Complex *tmp_data = retval.fortran_vec (); | |
| 1020 | |
| 1021 F77_XFCN (ztrtri, ZTRTRI, (F77_CONST_CHAR_ARG2 (&uplo, 1), | |
| 1022 F77_CONST_CHAR_ARG2 (&udiag, 1), | |
| 1023 nr, tmp_data, nr, info | |
| 1024 F77_CHAR_ARG_LEN (1) | |
| 1025 F77_CHAR_ARG_LEN (1))); | |
| 1026 | |
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1027 // Throw-away extra info LAPACK gives so as to not change output. |
| 7788 | 1028 rcon = 0.0; |
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1029 if (info != 0) |
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1030 info = -1; |
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1031 else if (calc_cond) |
| 6207 | 1032 { |
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1033 octave_idx_type ztrcon_info = 0; |
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1034 char job = '1'; |
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1035 |
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1036 OCTAVE_LOCAL_BUFFER (Complex, cwork, 2*nr); |
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1037 OCTAVE_LOCAL_BUFFER (double, rwork, nr); |
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1038 |
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1039 F77_XFCN (ztrcon, ZTRCON, (F77_CONST_CHAR_ARG2 (&job, 1), |
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1040 F77_CONST_CHAR_ARG2 (&uplo, 1), |
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1041 F77_CONST_CHAR_ARG2 (&udiag, 1), |
| 7788 | 1042 nr, tmp_data, nr, rcon, |
|
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1043 cwork, rwork, ztrcon_info |
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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 F77_CHAR_ARG_LEN (1))); |
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1047 |
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1048 if (ztrcon_info != 0) |
| 6207 | 1049 info = -1; |
| 1050 } | |
| 1051 | |
| 1052 if (info == -1 && ! force) | |
| 1053 retval = *this; // Restore matrix contents. | |
| 1054 } | |
| 1055 | |
| 1056 return retval; | |
| 458 | 1057 } |
| 1058 | |
| 1059 ComplexMatrix | |
| 6207 | 1060 ComplexMatrix::finverse (MatrixType &mattype, octave_idx_type& info, |
| 7788 | 1061 double& rcon, int force, int calc_cond) const |
| 458 | 1062 { |
| 1948 | 1063 ComplexMatrix retval; |
| 1064 | |
| 5275 | 1065 octave_idx_type nr = rows (); |
| 1066 octave_idx_type nc = cols (); | |
| 1948 | 1067 |
| 458 | 1068 if (nr != nc) |
| 1948 | 1069 (*current_liboctave_error_handler) ("inverse requires square matrix"); |
| 458 | 1070 else |
| 1071 { | |
| 5275 | 1072 Array<octave_idx_type> ipvt (nr); |
| 1073 octave_idx_type *pipvt = ipvt.fortran_vec (); | |
| 1948 | 1074 |
| 1075 retval = *this; | |
| 1076 Complex *tmp_data = retval.fortran_vec (); | |
| 1077 | |
| 4329 | 1078 Array<Complex> z(1); |
| 5275 | 1079 octave_idx_type lwork = -1; |
| 4330 | 1080 |
| 1081 // Query the optimum work array size. | |
| 4329 | 1082 |
| 1083 F77_XFCN (zgetri, ZGETRI, (nc, tmp_data, nr, pipvt, | |
| 1084 z.fortran_vec (), lwork, info)); | |
| 1085 | |
| 5315 | 1086 lwork = static_cast<octave_idx_type> (std::real(z(0))); |
| 4329 | 1087 lwork = (lwork < 2 *nc ? 2*nc : lwork); |
| 1088 z.resize (lwork); | |
| 1089 Complex *pz = z.fortran_vec (); | |
| 1090 | |
| 1091 info = 0; | |
| 1092 | |
| 4330 | 1093 // Calculate the norm of the matrix, for later use. |
| 4329 | 1094 double anorm; |
| 1095 if (calc_cond) | |
| 5275 | 1096 anorm = retval.abs().sum().row(static_cast<octave_idx_type>(0)).max(); |
| 4329 | 1097 |
| 1098 F77_XFCN (zgetrf, ZGETRF, (nc, nc, tmp_data, nr, pipvt, info)); | |
| 1948 | 1099 |
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1100 // Throw-away extra info LAPACK gives so as to not change output. |
| 7788 | 1101 rcon = 0.0; |
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1102 if (info != 0) |
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1103 info = -1; |
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1104 else if (calc_cond) |
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1105 { |
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1106 // Now calculate the condition number for non-singular matrix. |
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1107 octave_idx_type zgecon_info = 0; |
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1108 char job = '1'; |
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1109 Array<double> rz (2 * nc); |
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1110 double *prz = rz.fortran_vec (); |
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1111 F77_XFCN (zgecon, ZGECON, (F77_CONST_CHAR_ARG2 (&job, 1), |
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1112 nc, tmp_data, nr, anorm, |
| 7788 | 1113 rcon, pz, prz, zgecon_info |
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1114 F77_CHAR_ARG_LEN (1))); |
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1115 |
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1116 if (zgecon_info != 0) |
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1117 info = -1; |
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1118 } |
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1119 |
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1120 if (info == -1 && ! force) |
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1121 retval = *this; // Restore contents. |
| 1948 | 1122 else |
| 1123 { | |
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1124 octave_idx_type zgetri_info = 0; |
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1125 |
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1126 F77_XFCN (zgetri, ZGETRI, (nc, tmp_data, nr, pipvt, |
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1127 pz, lwork, zgetri_info)); |
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1128 |
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1129 if (zgetri_info != 0) |
| 1948 | 1130 info = -1; |
| 1131 } | |
| 6207 | 1132 |
| 1133 if (info != 0) | |
| 1134 mattype.mark_as_rectangular(); | |
| 458 | 1135 } |
| 4329 | 1136 |
| 1948 | 1137 return retval; |
| 458 | 1138 } |
| 1139 | |
| 1140 ComplexMatrix | |
| 6207 | 1141 ComplexMatrix::inverse (MatrixType &mattype, octave_idx_type& info, |
| 7788 | 1142 double& rcon, int force, int calc_cond) const |
| 6207 | 1143 { |
| 1144 int typ = mattype.type (false); | |
| 1145 ComplexMatrix ret; | |
| 1146 | |
| 1147 if (typ == MatrixType::Unknown) | |
| 1148 typ = mattype.type (*this); | |
| 1149 | |
| 1150 if (typ == MatrixType::Upper || typ == MatrixType::Lower) | |
| 7788 | 1151 ret = tinverse (mattype, info, rcon, force, calc_cond); |
| 6840 | 1152 else |
| 6207 | 1153 { |
| 1154 if (mattype.is_hermitian ()) | |
| 1155 { | |
| 6486 | 1156 ComplexCHOL chol (*this, info, calc_cond); |
| 6207 | 1157 if (info == 0) |
| 6486 | 1158 { |
| 1159 if (calc_cond) | |
| 7788 | 1160 rcon = chol.rcond(); |
| 6486 | 1161 else |
| 7788 | 1162 rcon = 1.0; |
| 6486 | 1163 ret = chol.inverse (); |
| 1164 } | |
| 6207 | 1165 else |
| 1166 mattype.mark_as_unsymmetric (); | |
| 1167 } | |
| 1168 | |
| 1169 if (!mattype.is_hermitian ()) | |
| 7788 | 1170 ret = finverse(mattype, info, rcon, force, calc_cond); |
| 1171 | |
| 1172 if ((mattype.is_hermitian () || calc_cond) && rcon == 0.) | |
| 6840 | 1173 ret = ComplexMatrix (rows (), columns (), Complex (octave_Inf, 0.)); |
| 6207 | 1174 } |
| 1175 | |
| 1176 return ret; | |
| 1177 } | |
| 1178 | |
| 1179 ComplexMatrix | |
| 4384 | 1180 ComplexMatrix::pseudo_inverse (double tol) const |
| 740 | 1181 { |
| 1549 | 1182 ComplexMatrix retval; |
| 1183 | |
| 3480 | 1184 ComplexSVD result (*this, SVD::economy); |
| 740 | 1185 |
| 1186 DiagMatrix S = result.singular_values (); | |
| 1187 ComplexMatrix U = result.left_singular_matrix (); | |
| 1188 ComplexMatrix V = result.right_singular_matrix (); | |
| 1189 | |
| 1190 ColumnVector sigma = S.diag (); | |
| 1191 | |
| 5275 | 1192 octave_idx_type r = sigma.length () - 1; |
| 1193 octave_idx_type nr = rows (); | |
| 1194 octave_idx_type nc = cols (); | |
| 740 | 1195 |
| 1196 if (tol <= 0.0) | |
| 1197 { | |
| 1198 if (nr > nc) | |
| 1199 tol = nr * sigma.elem (0) * DBL_EPSILON; | |
| 1200 else | |
| 1201 tol = nc * sigma.elem (0) * DBL_EPSILON; | |
| 1202 } | |
| 1203 | |
| 1204 while (r >= 0 && sigma.elem (r) < tol) | |
| 1205 r--; | |
| 1206 | |
| 1207 if (r < 0) | |
| 1549 | 1208 retval = ComplexMatrix (nc, nr, 0.0); |
| 740 | 1209 else |
| 1210 { | |
| 1211 ComplexMatrix Ur = U.extract (0, 0, nr-1, r); | |
| 1212 DiagMatrix D = DiagMatrix (sigma.extract (0, r)) . inverse (); | |
| 1213 ComplexMatrix Vr = V.extract (0, 0, nc-1, r); | |
| 1549 | 1214 retval = Vr * D * Ur.hermitian (); |
| 740 | 1215 } |
| 1549 | 1216 |
| 1217 return retval; | |
| 740 | 1218 } |
| 1219 | |
| 4773 | 1220 #if defined (HAVE_FFTW3) |
| 3827 | 1221 |
| 1222 ComplexMatrix | |
| 1223 ComplexMatrix::fourier (void) const | |
| 1224 { | |
| 1225 size_t nr = rows (); | |
| 1226 size_t nc = cols (); | |
| 1227 | |
| 1228 ComplexMatrix retval (nr, nc); | |
| 1229 | |
| 1230 size_t npts, nsamples; | |
| 1231 | |
| 1232 if (nr == 1 || nc == 1) | |
| 1233 { | |
| 1234 npts = nr > nc ? nr : nc; | |
| 1235 nsamples = 1; | |
| 1236 } | |
| 1237 else | |
| 1238 { | |
| 1239 npts = nr; | |
| 1240 nsamples = nc; | |
| 1241 } | |
| 1242 | |
| 1243 const Complex *in (data ()); | |
| 1244 Complex *out (retval.fortran_vec ()); | |
| 1245 | |
| 4773 | 1246 octave_fftw::fft (in, out, npts, nsamples); |
| 3827 | 1247 |
| 1248 return retval; | |
| 1249 } | |
| 1250 | |
| 1251 ComplexMatrix | |
| 1252 ComplexMatrix::ifourier (void) const | |
| 1253 { | |
| 1254 size_t nr = rows (); | |
| 1255 size_t nc = cols (); | |
| 1256 | |
| 1257 ComplexMatrix retval (nr, nc); | |
| 1258 | |
| 1259 size_t npts, nsamples; | |
| 1260 | |
| 1261 if (nr == 1 || nc == 1) | |
| 1262 { | |
| 1263 npts = nr > nc ? nr : nc; | |
| 1264 nsamples = 1; | |
| 1265 } | |
| 1266 else | |
| 1267 { | |
| 1268 npts = nr; | |
| 1269 nsamples = nc; | |
| 1270 } | |
| 1271 | |
| 1272 const Complex *in (data ()); | |
| 1273 Complex *out (retval.fortran_vec ()); | |
| 1274 | |
| 4773 | 1275 octave_fftw::ifft (in, out, npts, nsamples); |
| 3827 | 1276 |
| 1277 return retval; | |
| 1278 } | |
| 1279 | |
| 1280 ComplexMatrix | |
| 1281 ComplexMatrix::fourier2d (void) const | |
| 1282 { | |
| 4773 | 1283 dim_vector dv(rows (), cols ()); |
| 1284 | |
| 1285 ComplexMatrix retval (rows (), cols ()); | |
| 1286 const Complex *in (data ()); | |
| 1287 Complex *out (retval.fortran_vec ()); | |
| 1288 | |
| 1289 octave_fftw::fftNd (in, out, 2, dv); | |
| 3827 | 1290 |
| 1291 return retval; | |
| 1292 } | |
| 1293 | |
| 1294 ComplexMatrix | |
| 1295 ComplexMatrix::ifourier2d (void) const | |
| 1296 { | |
| 4773 | 1297 dim_vector dv(rows (), cols ()); |
| 1298 | |
| 1299 ComplexMatrix retval (rows (), cols ()); | |
| 1300 const Complex *in (data ()); | |
| 1301 Complex *out (retval.fortran_vec ()); | |
| 1302 | |
| 1303 octave_fftw::ifftNd (in, out, 2, dv); | |
| 3827 | 1304 |
| 1305 return retval; | |
| 1306 } | |
| 1307 | |
| 1308 #else | |
| 1309 | |
| 740 | 1310 ComplexMatrix |
| 458 | 1311 ComplexMatrix::fourier (void) const |
| 1312 { | |
| 1948 | 1313 ComplexMatrix retval; |
| 1314 | |
| 5275 | 1315 octave_idx_type nr = rows (); |
| 1316 octave_idx_type nc = cols (); | |
| 1317 | |
| 1318 octave_idx_type npts, nsamples; | |
| 1948 | 1319 |
| 458 | 1320 if (nr == 1 || nc == 1) |
| 1321 { | |
| 1322 npts = nr > nc ? nr : nc; | |
| 1323 nsamples = 1; | |
| 1324 } | |
| 1325 else | |
| 1326 { | |
| 1327 npts = nr; | |
| 1328 nsamples = nc; | |
| 1329 } | |
| 1330 | |
| 5275 | 1331 octave_idx_type nn = 4*npts+15; |
| 1948 | 1332 |
| 1333 Array<Complex> wsave (nn); | |
| 1334 Complex *pwsave = wsave.fortran_vec (); | |
| 1335 | |
| 1336 retval = *this; | |
| 1337 Complex *tmp_data = retval.fortran_vec (); | |
| 1338 | |
|
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1339 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
| 458 | 1340 |
| 5275 | 1341 for (octave_idx_type j = 0; j < nsamples; j++) |
| 4153 | 1342 { |
| 1343 OCTAVE_QUIT; | |
| 1344 | |
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|
1345 F77_FUNC (zfftf, ZFFTF) (npts, &tmp_data[npts*j], pwsave); |
| 4153 | 1346 } |
| 1948 | 1347 |
| 1348 return retval; | |
| 458 | 1349 } |
| 1350 | |
| 1351 ComplexMatrix | |
| 1352 ComplexMatrix::ifourier (void) const | |
| 1353 { | |
| 1948 | 1354 ComplexMatrix retval; |
| 1355 | |
| 5275 | 1356 octave_idx_type nr = rows (); |
| 1357 octave_idx_type nc = cols (); | |
| 1358 | |
| 1359 octave_idx_type npts, nsamples; | |
| 1948 | 1360 |
| 458 | 1361 if (nr == 1 || nc == 1) |
| 1362 { | |
| 1363 npts = nr > nc ? nr : nc; | |
| 1364 nsamples = 1; | |
| 1365 } | |
| 1366 else | |
| 1367 { | |
| 1368 npts = nr; | |
| 1369 nsamples = nc; | |
| 1370 } | |
| 1371 | |
| 5275 | 1372 octave_idx_type nn = 4*npts+15; |
| 1948 | 1373 |
| 1374 Array<Complex> wsave (nn); | |
| 1375 Complex *pwsave = wsave.fortran_vec (); | |
| 1376 | |
| 1377 retval = *this; | |
| 1378 Complex *tmp_data = retval.fortran_vec (); | |
| 1379 | |
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|
1380 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
| 458 | 1381 |
| 5275 | 1382 for (octave_idx_type j = 0; j < nsamples; j++) |
| 4153 | 1383 { |
| 1384 OCTAVE_QUIT; | |
| 1385 | |
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1386 F77_FUNC (zfftb, ZFFTB) (npts, &tmp_data[npts*j], pwsave); |
| 4153 | 1387 } |
| 458 | 1388 |
| 5275 | 1389 for (octave_idx_type j = 0; j < npts*nsamples; j++) |
| 3572 | 1390 tmp_data[j] = tmp_data[j] / static_cast<double> (npts); |
| 458 | 1391 |
| 1948 | 1392 return retval; |
| 458 | 1393 } |
| 1394 | |
| 677 | 1395 ComplexMatrix |
| 1396 ComplexMatrix::fourier2d (void) const | |
| 1397 { | |
| 1948 | 1398 ComplexMatrix retval; |
| 1399 | |
| 5275 | 1400 octave_idx_type nr = rows (); |
| 1401 octave_idx_type nc = cols (); | |
| 1402 | |
| 1403 octave_idx_type npts, nsamples; | |
| 1948 | 1404 |
| 677 | 1405 if (nr == 1 || nc == 1) |
| 1406 { | |
| 1407 npts = nr > nc ? nr : nc; | |
| 1408 nsamples = 1; | |
| 1409 } | |
| 1410 else | |
| 1411 { | |
| 1412 npts = nr; | |
| 1413 nsamples = nc; | |
| 1414 } | |
| 1415 | |
| 5275 | 1416 octave_idx_type nn = 4*npts+15; |
| 1948 | 1417 |
| 1418 Array<Complex> wsave (nn); | |
| 1419 Complex *pwsave = wsave.fortran_vec (); | |
| 1420 | |
| 1421 retval = *this; | |
| 1422 Complex *tmp_data = retval.fortran_vec (); | |
| 1423 | |
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1424 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
| 677 | 1425 |
| 5275 | 1426 for (octave_idx_type j = 0; j < nsamples; j++) |
| 4153 | 1427 { |
| 1428 OCTAVE_QUIT; | |
| 1429 | |
|
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1430 F77_FUNC (zfftf, ZFFTF) (npts, &tmp_data[npts*j], pwsave); |
| 4153 | 1431 } |
| 677 | 1432 |
| 1433 npts = nc; | |
| 1434 nsamples = nr; | |
| 1435 nn = 4*npts+15; | |
| 1948 | 1436 |
| 1437 wsave.resize (nn); | |
| 1438 pwsave = wsave.fortran_vec (); | |
| 1439 | |
| 4773 | 1440 Array<Complex> tmp (npts); |
| 1441 Complex *prow = tmp.fortran_vec (); | |
| 1948 | 1442 |
|
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1443 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
| 677 | 1444 |
| 5275 | 1445 for (octave_idx_type j = 0; j < nsamples; j++) |
| 677 | 1446 { |
| 4153 | 1447 OCTAVE_QUIT; |
| 1448 | |
| 5275 | 1449 for (octave_idx_type i = 0; i < npts; i++) |
| 1948 | 1450 prow[i] = tmp_data[i*nr + j]; |
| 1451 | |
|
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1452 F77_FUNC (zfftf, ZFFTF) (npts, prow, pwsave); |
| 677 | 1453 |
| 5275 | 1454 for (octave_idx_type i = 0; i < npts; i++) |
| 1948 | 1455 tmp_data[i*nr + j] = prow[i]; |
| 677 | 1456 } |
| 1457 | |
| 1948 | 1458 return retval; |
| 677 | 1459 } |
| 1460 | |
| 1461 ComplexMatrix | |
| 1462 ComplexMatrix::ifourier2d (void) const | |
| 1463 { | |
| 1948 | 1464 ComplexMatrix retval; |
| 1465 | |
| 5275 | 1466 octave_idx_type nr = rows (); |
| 1467 octave_idx_type nc = cols (); | |
| 1468 | |
| 1469 octave_idx_type npts, nsamples; | |
| 1948 | 1470 |
| 677 | 1471 if (nr == 1 || nc == 1) |
| 1472 { | |
| 1473 npts = nr > nc ? nr : nc; | |
| 1474 nsamples = 1; | |
| 1475 } | |
| 1476 else | |
| 1477 { | |
| 1478 npts = nr; | |
| 1479 nsamples = nc; | |
| 1480 } | |
| 1481 | |
| 5275 | 1482 octave_idx_type nn = 4*npts+15; |
| 1948 | 1483 |
| 1484 Array<Complex> wsave (nn); | |
| 1485 Complex *pwsave = wsave.fortran_vec (); | |
| 1486 | |
| 1487 retval = *this; | |
| 1488 Complex *tmp_data = retval.fortran_vec (); | |
| 1489 | |
|
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|
1490 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
| 677 | 1491 |
| 5275 | 1492 for (octave_idx_type j = 0; j < nsamples; j++) |
| 4153 | 1493 { |
| 1494 OCTAVE_QUIT; | |
| 1495 | |
|
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|
1496 F77_FUNC (zfftb, ZFFTB) (npts, &tmp_data[npts*j], pwsave); |
| 4153 | 1497 } |
| 677 | 1498 |
| 5275 | 1499 for (octave_idx_type j = 0; j < npts*nsamples; j++) |
| 3572 | 1500 tmp_data[j] = tmp_data[j] / static_cast<double> (npts); |
| 677 | 1501 |
| 1502 npts = nc; | |
| 1503 nsamples = nr; | |
| 1504 nn = 4*npts+15; | |
| 1948 | 1505 |
| 1506 wsave.resize (nn); | |
| 1507 pwsave = wsave.fortran_vec (); | |
| 1508 | |
| 4773 | 1509 Array<Complex> tmp (npts); |
| 1510 Complex *prow = tmp.fortran_vec (); | |
| 1948 | 1511 |
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1512 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
| 677 | 1513 |
| 5275 | 1514 for (octave_idx_type j = 0; j < nsamples; j++) |
| 677 | 1515 { |
| 4153 | 1516 OCTAVE_QUIT; |
| 1517 | |
| 5275 | 1518 for (octave_idx_type i = 0; i < npts; i++) |
| 1948 | 1519 prow[i] = tmp_data[i*nr + j]; |
| 1520 | |
|
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|
1521 F77_FUNC (zfftb, ZFFTB) (npts, prow, pwsave); |
| 677 | 1522 |
| 5275 | 1523 for (octave_idx_type i = 0; i < npts; i++) |
| 3572 | 1524 tmp_data[i*nr + j] = prow[i] / static_cast<double> (npts); |
| 677 | 1525 } |
| 1526 | |
| 1948 | 1527 return retval; |
| 677 | 1528 } |
| 1529 | |
| 3827 | 1530 #endif |
| 1531 | |
| 458 | 1532 ComplexDET |
| 1533 ComplexMatrix::determinant (void) const | |
| 1534 { | |
| 5275 | 1535 octave_idx_type info; |
| 7788 | 1536 double rcon; |
| 1537 return determinant (info, rcon, 0); | |
| 458 | 1538 } |
| 1539 | |
| 1540 ComplexDET | |
| 5275 | 1541 ComplexMatrix::determinant (octave_idx_type& info) const |
| 458 | 1542 { |
| 7788 | 1543 double rcon; |
| 1544 return determinant (info, rcon, 0); | |
| 458 | 1545 } |
| 1546 | |
| 1547 ComplexDET | |
| 7788 | 1548 ComplexMatrix::determinant (octave_idx_type& info, double& rcon, int calc_cond) const |
| 458 | 1549 { |
|
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|
1550 MatrixType mattype (*this); |
|
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|
1551 return determinant (mattype, info, rcon, calc_cond); |
|
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1552 } |
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|
1553 |
|
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1554 ComplexDET |
|
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|
1555 ComplexMatrix::determinant (MatrixType& mattype, |
|
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1556 octave_idx_type& info, double& rcon, int calc_cond) const |
|
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|
1557 { |
|
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|
1558 ComplexDET retval (1.0); |
| 458 | 1559 |
| 5275 | 1560 octave_idx_type nr = rows (); |
| 1561 octave_idx_type nc = cols (); | |
| 458 | 1562 |
|
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1563 if (nr != nc) |
|
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|
1564 (*current_liboctave_error_handler) ("matrix must be square"); |
| 458 | 1565 else |
| 1566 { | |
|
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|
1567 int typ = mattype.type (); |
|
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|
1568 |
|
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|
1569 if (typ == MatrixType::Unknown) |
|
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1570 typ = mattype.type (*this); |
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|
1571 |
|
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|
1572 if (typ == MatrixType::Lower || typ == MatrixType::Upper) |
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|
1573 { |
|
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1574 for (octave_idx_type i = 0; i < nc; i++) |
|
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1575 retval *= elem (i,i); |
|
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1576 } |
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1577 else if (typ == MatrixType::Hermitian) |
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|
1578 { |
|
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|
1579 ComplexMatrix atmp = *this; |
|
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1580 Complex *tmp_data = atmp.fortran_vec (); |
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|
1581 |
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|
1582 info = 0; |
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|
1583 double anorm = 0; |
|
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1584 if (calc_cond) anorm = xnorm (*this, 1); |
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|
1585 |
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|
1586 |
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|
1587 char job = 'L'; |
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1588 F77_XFCN (zpotrf, ZPOTRF, (F77_CONST_CHAR_ARG2 (&job, 1), nr, |
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|
1589 tmp_data, nr, info |
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1590 F77_CHAR_ARG_LEN (1))); |
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1591 |
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1592 if (info != 0) |
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|
1593 { |
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|
1594 rcon = 0.0; |
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1595 mattype.mark_as_unsymmetric (); |
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1596 typ = MatrixType::Full; |
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1597 } |
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1598 else |
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|
1599 { |
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|
1600 Array<Complex> z (2 * nc); |
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1601 Complex *pz = z.fortran_vec (); |
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1602 Array<double> rz (nc); |
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1603 double *prz = rz.fortran_vec (); |
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1604 |
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1605 F77_XFCN (zpocon, ZPOCON, (F77_CONST_CHAR_ARG2 (&job, 1), |
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|
1606 nr, tmp_data, nr, anorm, |
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1607 rcon, pz, prz, info |
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1608 F77_CHAR_ARG_LEN (1))); |
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1609 |
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1610 if (info != 0) |
|
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1611 rcon = 0.0; |
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1612 |
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1613 for (octave_idx_type i = 0; i < nc; i++) |
|
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1614 retval *= atmp (i,i); |
|
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1615 |
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1616 retval = retval.square (); |
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1617 } |
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1618 } |
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1619 else if (typ != MatrixType::Full) |
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1620 (*current_liboctave_error_handler) ("det: invalid dense matrix type"); |
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1621 |
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1622 if (typ == MatrixType::Full) |
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1623 { |
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1624 Array<octave_idx_type> ipvt (nr); |
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1625 octave_idx_type *pipvt = ipvt.fortran_vec (); |
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1626 |
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1627 ComplexMatrix atmp = *this; |
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1628 Complex *tmp_data = atmp.fortran_vec (); |
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1629 |
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1630 info = 0; |
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1631 |
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1632 // Calculate the norm of the matrix, for later use. |
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1633 double anorm = 0; |
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1634 if (calc_cond) anorm = xnorm (*this, 1); |
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1635 |
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1636 F77_XFCN (zgetrf, ZGETRF, (nr, nr, tmp_data, nr, pipvt, info)); |
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1637 |
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1638 // Throw-away extra info LAPACK gives so as to not change output. |
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1639 rcon = 0.0; |
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1640 if (info != 0) |
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1641 { |
|
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1642 info = -1; |
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1643 retval = ComplexDET (); |
|
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1644 } |
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1645 else |
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1646 { |
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1647 if (calc_cond) |
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1648 { |
|
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1649 // Now calc the condition number for non-singular matrix. |
|
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1650 char job = '1'; |
|
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1651 Array<Complex> z (2 * nc); |
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1652 Complex *pz = z.fortran_vec (); |
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1653 Array<double> rz (2 * nc); |
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1654 double *prz = rz.fortran_vec (); |
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1655 |
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1656 F77_XFCN (zgecon, ZGECON, (F77_CONST_CHAR_ARG2 (&job, 1), |
|
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1657 nc, tmp_data, nr, anorm, |
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1658 rcon, pz, prz, info |
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1659 F77_CHAR_ARG_LEN (1))); |
| 8335 | 1660 } |
|
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1661 |
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1662 if (info != 0) |
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1663 { |
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1664 info = -1; |
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1665 retval = ComplexDET (); |
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1666 } |
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1667 else |
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1668 { |
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1669 for (octave_idx_type i = 0; i < nc; i++) |
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1670 { |
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1671 Complex c = atmp(i,i); |
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1672 retval *= (ipvt(i) != (i+1)) ? -c : c; |
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1673 } |
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1674 } |
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1675 } |
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1676 } |
| 458 | 1677 } |
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1678 |
| 458 | 1679 return retval; |
| 1680 } | |
| 1681 | |
| 7788 | 1682 double |
| 1683 ComplexMatrix::rcond (void) const | |
| 1684 { | |
| 1685 MatrixType mattype (*this); | |
| 1686 return rcond (mattype); | |
| 1687 } | |
| 1688 | |
| 1689 double | |
| 1690 ComplexMatrix::rcond (MatrixType &mattype) const | |
| 1691 { | |
| 1692 double rcon; | |
| 1693 octave_idx_type nr = rows (); | |
| 1694 octave_idx_type nc = cols (); | |
| 1695 | |
| 1696 if (nr != nc) | |
| 1697 (*current_liboctave_error_handler) ("matrix must be square"); | |
| 1698 else if (nr == 0 || nc == 0) | |
| 1699 rcon = octave_Inf; | |
| 1700 else | |
| 1701 { | |
| 1702 int typ = mattype.type (); | |
| 1703 | |
| 1704 if (typ == MatrixType::Unknown) | |
| 1705 typ = mattype.type (*this); | |
| 1706 | |
| 1707 // Only calculate the condition number for LU/Cholesky | |
| 1708 if (typ == MatrixType::Upper) | |
| 1709 { | |
| 1710 const Complex *tmp_data = fortran_vec (); | |
| 1711 octave_idx_type info = 0; | |
| 1712 char norm = '1'; | |
| 1713 char uplo = 'U'; | |
| 1714 char dia = 'N'; | |
| 1715 | |
| 1716 Array<Complex> z (2 * nc); | |
| 1717 Complex *pz = z.fortran_vec (); | |
| 1718 Array<double> rz (nc); | |
| 1719 double *prz = rz.fortran_vec (); | |
| 1720 | |
| 1721 F77_XFCN (ztrcon, ZTRCON, (F77_CONST_CHAR_ARG2 (&norm, 1), | |
| 1722 F77_CONST_CHAR_ARG2 (&uplo, 1), | |
| 1723 F77_CONST_CHAR_ARG2 (&dia, 1), | |
| 1724 nr, tmp_data, nr, rcon, | |
| 1725 pz, prz, info | |
| 1726 F77_CHAR_ARG_LEN (1) | |
| 1727 F77_CHAR_ARG_LEN (1) | |
| 1728 F77_CHAR_ARG_LEN (1))); | |
| 1729 | |
| 1730 if (info != 0) | |
| 1731 rcon = 0; | |
| 1732 } | |
| 1733 else if (typ == MatrixType::Permuted_Upper) | |
| 1734 (*current_liboctave_error_handler) | |
| 1735 ("permuted triangular matrix not implemented"); | |
| 1736 else if (typ == MatrixType::Lower) | |
| 1737 { | |
| 1738 const Complex *tmp_data = fortran_vec (); | |
| 1739 octave_idx_type info = 0; | |
| 1740 char norm = '1'; | |
| 1741 char uplo = 'L'; | |
| 1742 char dia = 'N'; | |
| 1743 | |
| 1744 Array<Complex> z (2 * nc); | |
| 1745 Complex *pz = z.fortran_vec (); | |
| 1746 Array<double> rz (nc); | |
| 1747 double *prz = rz.fortran_vec (); | |
| 1748 | |
| 1749 F77_XFCN (ztrcon, ZTRCON, (F77_CONST_CHAR_ARG2 (&norm, 1), | |
| 1750 F77_CONST_CHAR_ARG2 (&uplo, 1), | |
| 1751 F77_CONST_CHAR_ARG2 (&dia, 1), | |
| 1752 nr, tmp_data, nr, rcon, | |
| 1753 pz, prz, info | |
| 1754 F77_CHAR_ARG_LEN (1) | |
| 1755 F77_CHAR_ARG_LEN (1) | |
| 1756 F77_CHAR_ARG_LEN (1))); | |
| 1757 | |
| 1758 if (info != 0) | |
| 1759 rcon = 0.0; | |
| 1760 } | |
| 1761 else if (typ == MatrixType::Permuted_Lower) | |
| 1762 (*current_liboctave_error_handler) | |
| 1763 ("permuted triangular matrix not implemented"); | |
| 1764 else if (typ == MatrixType::Full || typ == MatrixType::Hermitian) | |
| 1765 { | |
| 1766 double anorm = -1.0; | |
| 1767 ComplexMatrix atmp = *this; | |
| 1768 Complex *tmp_data = atmp.fortran_vec (); | |
| 1769 | |
| 1770 if (typ == MatrixType::Hermitian) | |
| 1771 { | |
| 1772 octave_idx_type info = 0; | |
| 1773 char job = 'L'; | |
| 1774 anorm = atmp.abs().sum(). | |
| 1775 row(static_cast<octave_idx_type>(0)).max(); | |
| 1776 | |
| 1777 F77_XFCN (zpotrf, ZPOTRF, (F77_CONST_CHAR_ARG2 (&job, 1), nr, | |
| 1778 tmp_data, nr, info | |
| 1779 F77_CHAR_ARG_LEN (1))); | |
| 1780 | |
| 1781 if (info != 0) | |
| 1782 { | |
| 1783 rcon = 0.0; | |
| 1784 | |
| 1785 mattype.mark_as_unsymmetric (); | |
| 1786 typ = MatrixType::Full; | |
| 1787 } | |
| 1788 else | |
| 1789 { | |
| 1790 Array<Complex> z (2 * nc); | |
| 1791 Complex *pz = z.fortran_vec (); | |
| 1792 Array<double> rz (nc); | |
| 1793 double *prz = rz.fortran_vec (); | |
| 1794 | |
| 1795 F77_XFCN (zpocon, ZPOCON, (F77_CONST_CHAR_ARG2 (&job, 1), | |
| 1796 nr, tmp_data, nr, anorm, | |
| 1797 rcon, pz, prz, info | |
| 1798 F77_CHAR_ARG_LEN (1))); | |
| 1799 | |
| 1800 if (info != 0) | |
| 1801 rcon = 0.0; | |
| 1802 } | |
| 1803 } | |
| 1804 | |
| 1805 | |
| 1806 if (typ == MatrixType::Full) | |
| 1807 { | |
| 1808 octave_idx_type info = 0; | |
| 1809 | |
| 1810 Array<octave_idx_type> ipvt (nr); | |
| 1811 octave_idx_type *pipvt = ipvt.fortran_vec (); | |
| 1812 | |
| 1813 if(anorm < 0.) | |
| 1814 anorm = atmp.abs().sum(). | |
| 1815 row(static_cast<octave_idx_type>(0)).max(); | |
| 1816 | |
| 1817 Array<Complex> z (2 * nc); | |
| 1818 Complex *pz = z.fortran_vec (); | |
| 1819 Array<double> rz (2 * nc); | |
| 1820 double *prz = rz.fortran_vec (); | |
| 1821 | |
| 1822 F77_XFCN (zgetrf, ZGETRF, (nr, nr, tmp_data, nr, pipvt, info)); | |
| 1823 | |
| 1824 if (info != 0) | |
| 1825 { | |
| 1826 rcon = 0.0; | |
| 1827 mattype.mark_as_rectangular (); | |
| 1828 } | |
| 1829 else | |
| 1830 { | |
| 1831 char job = '1'; | |
| 1832 F77_XFCN (zgecon, ZGECON, (F77_CONST_CHAR_ARG2 (&job, 1), | |
| 1833 nc, tmp_data, nr, anorm, | |
| 1834 rcon, pz, prz, info | |
| 1835 F77_CHAR_ARG_LEN (1))); | |
| 1836 | |
| 1837 if (info != 0) | |
| 1838 rcon = 0.0; | |
| 1839 } | |
| 1840 } | |
| 1841 } | |
| 1842 else | |
| 1843 rcon = 0.0; | |
| 1844 } | |
| 1845 | |
| 1846 return rcon; | |
| 1847 } | |
| 1848 | |
| 458 | 1849 ComplexMatrix |
| 5785 | 1850 ComplexMatrix::utsolve (MatrixType &mattype, const ComplexMatrix& b, |
| 7788 | 1851 octave_idx_type& info, double& rcon, |
| 5785 | 1852 solve_singularity_handler sing_handler, |
| 1853 bool calc_cond) const | |
| 1854 { | |
| 1855 ComplexMatrix retval; | |
| 1856 | |
| 1857 octave_idx_type nr = rows (); | |
| 1858 octave_idx_type nc = cols (); | |
| 1859 | |
| 6924 | 1860 if (nr != b.rows ()) |
| 5785 | 1861 (*current_liboctave_error_handler) |
| 1862 ("matrix dimension mismatch solution of linear equations"); | |
| 6924 | 1863 else if (nr == 0 || nc == 0 || b.cols () == 0) |
| 1864 retval = ComplexMatrix (nc, b.cols (), Complex (0.0, 0.0)); | |
| 5785 | 1865 else |
| 1866 { | |
| 1867 volatile int typ = mattype.type (); | |
| 1868 | |
| 1869 if (typ == MatrixType::Permuted_Upper || | |
| 1870 typ == MatrixType::Upper) | |
| 1871 { | |
| 1872 octave_idx_type b_nc = b.cols (); | |
| 7788 | 1873 rcon = 1.; |
| 5785 | 1874 info = 0; |
| 1875 | |
| 1876 if (typ == MatrixType::Permuted_Upper) | |
| 1877 { | |
| 1878 (*current_liboctave_error_handler) | |
| 6390 | 1879 ("permuted triangular matrix not implemented"); |
| 5785 | 1880 } |
| 1881 else | |
| 1882 { | |
| 1883 const Complex *tmp_data = fortran_vec (); | |
| 1884 | |
| 1885 if (calc_cond) | |
| 1886 { | |
| 1887 char norm = '1'; | |
| 1888 char uplo = 'U'; | |
| 1889 char dia = 'N'; | |
| 1890 | |
| 1891 Array<Complex> z (2 * nc); | |
| 1892 Complex *pz = z.fortran_vec (); | |
| 1893 Array<double> rz (nc); | |
| 1894 double *prz = rz.fortran_vec (); | |
| 1895 | |
| 1896 F77_XFCN (ztrcon, ZTRCON, (F77_CONST_CHAR_ARG2 (&norm, 1), | |
| 1897 F77_CONST_CHAR_ARG2 (&uplo, 1), | |
| 1898 F77_CONST_CHAR_ARG2 (&dia, 1), | |
| 7788 | 1899 nr, tmp_data, nr, rcon, |
| 5785 | 1900 pz, prz, info |
| 1901 F77_CHAR_ARG_LEN (1) | |
| 1902 F77_CHAR_ARG_LEN (1) | |
| 1903 F77_CHAR_ARG_LEN (1))); | |
| 1904 | |
| 1905 if (info != 0) | |
| 1906 info = -2; | |
| 1907 | |
| 7788 | 1908 volatile double rcond_plus_one = rcon + 1.0; |
| 1909 | |
| 1910 if (rcond_plus_one == 1.0 || xisnan (rcon)) | |
| 5785 | 1911 { |
| 1912 info = -2; | |
| 1913 | |
| 1914 if (sing_handler) | |
| 7788 | 1915 sing_handler (rcon); |
| 5785 | 1916 else |
| 1917 (*current_liboctave_error_handler) | |
| 1918 ("matrix singular to machine precision, rcond = %g", | |
| 7788 | 1919 rcon); |
| 5785 | 1920 } |
| 1921 } | |
| 1922 | |
| 1923 if (info == 0) | |
| 1924 { | |
| 1925 retval = b; | |
| 1926 Complex *result = retval.fortran_vec (); | |
| 1927 | |
| 1928 char uplo = 'U'; | |
| 1929 char trans = 'N'; | |
| 1930 char dia = 'N'; | |
| 1931 | |
| 1932 F77_XFCN (ztrtrs, ZTRTRS, (F77_CONST_CHAR_ARG2 (&uplo, 1), | |
| 1933 F77_CONST_CHAR_ARG2 (&trans, 1), | |
| 1934 F77_CONST_CHAR_ARG2 (&dia, 1), | |
| 1935 nr, b_nc, tmp_data, nr, | |
| 1936 result, nr, info | |
| 1937 F77_CHAR_ARG_LEN (1) | |
| 1938 F77_CHAR_ARG_LEN (1) | |
| 1939 F77_CHAR_ARG_LEN (1))); | |
| 1940 } | |
| 1941 } | |
| 1942 } | |
| 1943 else | |
| 1944 (*current_liboctave_error_handler) ("incorrect matrix type"); | |
| 1945 } | |
| 1946 | |
| 1947 return retval; | |
| 1948 } | |
| 1949 | |
| 1950 ComplexMatrix | |
| 1951 ComplexMatrix::ltsolve (MatrixType &mattype, const ComplexMatrix& b, | |
| 7788 | 1952 octave_idx_type& info, double& rcon, |
| 5785 | 1953 solve_singularity_handler sing_handler, |
| 1954 bool calc_cond) const | |
| 1955 { | |
| 1956 ComplexMatrix retval; | |
| 1957 | |
| 1958 octave_idx_type nr = rows (); | |
| 1959 octave_idx_type nc = cols (); | |
| 1960 | |
| 6924 | 1961 if (nr != b.rows ()) |
| 5785 | 1962 (*current_liboctave_error_handler) |
| 1963 ("matrix dimension mismatch solution of linear equations"); | |
| 6924 | 1964 else if (nr == 0 || nc == 0 || b.cols () == 0) |
| 1965 retval = ComplexMatrix (nc, b.cols (), Complex (0.0, 0.0)); | |
| 5785 | 1966 else |
| 1967 { | |
| 1968 volatile int typ = mattype.type (); | |
| 1969 | |
| 1970 if (typ == MatrixType::Permuted_Lower || | |
| 1971 typ == MatrixType::Lower) | |
| 1972 { | |
| 1973 octave_idx_type b_nc = b.cols (); | |
| 7788 | 1974 rcon = 1.; |
| 5785 | 1975 info = 0; |
| 1976 | |
| 1977 if (typ == MatrixType::Permuted_Lower) | |
| 1978 { | |
| 1979 (*current_liboctave_error_handler) | |
| 6390 | 1980 ("permuted triangular matrix not implemented"); |
| 5785 | 1981 } |
| 1982 else | |
| 1983 { | |
| 1984 const Complex *tmp_data = fortran_vec (); | |
| 1985 | |
| 1986 if (calc_cond) | |
| 1987 { | |
| 1988 char norm = '1'; | |
| 1989 char uplo = 'L'; | |
| 1990 char dia = 'N'; | |
| 1991 | |
| 1992 Array<Complex> z (2 * nc); | |
| 1993 Complex *pz = z.fortran_vec (); | |
| 1994 Array<double> rz (nc); | |
| 1995 double *prz = rz.fortran_vec (); | |
| 1996 | |
| 1997 F77_XFCN (ztrcon, ZTRCON, (F77_CONST_CHAR_ARG2 (&norm, 1), | |
| 1998 F77_CONST_CHAR_ARG2 (&uplo, 1), | |
| 1999 F77_CONST_CHAR_ARG2 (&dia, 1), | |
| 7788 | 2000 nr, tmp_data, nr, rcon, |
| 5785 | 2001 pz, prz, info |
| 2002 F77_CHAR_ARG_LEN (1) | |
| 2003 F77_CHAR_ARG_LEN (1) | |
| 2004 F77_CHAR_ARG_LEN (1))); | |
| 2005 | |
| 2006 if (info != 0) | |
| 2007 info = -2; | |
| 2008 | |
| 7788 | 2009 volatile double rcond_plus_one = rcon + 1.0; |
| 2010 | |
| 2011 if (rcond_plus_one == 1.0 || xisnan (rcon)) | |
| 5785 | 2012 { |
| 2013 info = -2; | |
| 2014 | |
| 2015 if (sing_handler) | |
| 7788 | 2016 sing_handler (rcon); |
| 5785 | 2017 else |
| 2018 (*current_liboctave_error_handler) | |
| 2019 ("matrix singular to machine precision, rcond = %g", | |
| 7788 | 2020 rcon); |
| 5785 | 2021 } |
| 2022 } | |
| 2023 | |
| 2024 if (info == 0) | |
| 2025 { | |
| 2026 retval = b; | |
| 2027 Complex *result = retval.fortran_vec (); | |
| 2028 | |
| 2029 char uplo = 'L'; | |
| 2030 char trans = 'N'; | |
| 2031 char dia = 'N'; | |
| 2032 | |
| 2033 F77_XFCN (ztrtrs, ZTRTRS, (F77_CONST_CHAR_ARG2 (&uplo, 1), | |
| 2034 F77_CONST_CHAR_ARG2 (&trans, 1), | |
| 2035 F77_CONST_CHAR_ARG2 (&dia, 1), | |
| 2036 nr, b_nc, tmp_data, nr, | |
| 2037 result, nr, info | |
| 2038 F77_CHAR_ARG_LEN (1) | |
| 2039 F77_CHAR_ARG_LEN (1) | |
| 2040 F77_CHAR_ARG_LEN (1))); | |
| 2041 } | |
| 2042 } | |
| 2043 } | |
| 2044 else | |
| 2045 (*current_liboctave_error_handler) ("incorrect matrix type"); | |
| 2046 } | |
| 2047 | |
| 2048 return retval; | |
| 2049 } | |
| 2050 | |
| 2051 ComplexMatrix | |
| 2052 ComplexMatrix::fsolve (MatrixType &mattype, const ComplexMatrix& b, | |
| 7788 | 2053 octave_idx_type& info, double& rcon, |
| 5785 | 2054 solve_singularity_handler sing_handler, |
| 2055 bool calc_cond) const | |
| 2056 { | |
| 2057 ComplexMatrix retval; | |
| 2058 | |
| 2059 octave_idx_type nr = rows (); | |
| 2060 octave_idx_type nc = cols (); | |
| 2061 | |
| 6924 | 2062 |
| 2063 if (nr != nc || nr != b.rows ()) | |
| 5785 | 2064 (*current_liboctave_error_handler) |
| 6924 | 2065 ("matrix dimension mismatch solution of linear equations"); |
| 2066 else if (nr == 0 || b.cols () == 0) | |
| 2067 retval = ComplexMatrix (nc, b.cols (), Complex (0.0, 0.0)); | |
| 5785 | 2068 else |
| 2069 { | |
| 2070 volatile int typ = mattype.type (); | |
| 2071 | |
| 2072 // Calculate the norm of the matrix, for later use. | |
| 2073 double anorm = -1.; | |
| 2074 | |
| 2075 if (typ == MatrixType::Hermitian) | |
| 2076 { | |
| 2077 info = 0; | |
| 2078 char job = 'L'; | |
| 2079 ComplexMatrix atmp = *this; | |
| 2080 Complex *tmp_data = atmp.fortran_vec (); | |
| 2081 anorm = atmp.abs().sum().row(static_cast<octave_idx_type>(0)).max(); | |
| 2082 | |
| 2083 F77_XFCN (zpotrf, ZPOTRF, (F77_CONST_CHAR_ARG2 (&job, 1), nr, | |
| 2084 tmp_data, nr, info | |
| 2085 F77_CHAR_ARG_LEN (1))); | |
| 2086 | |
|
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29980c6b8604
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John W. Eaton <jwe@octave.org>
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diff
changeset
|
2087 // Throw-away extra info LAPACK gives so as to not change output. |
| 7788 | 2088 rcon = 0.0; |
|
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29980c6b8604
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diff
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|
2089 if (info != 0) |
|
29980c6b8604
don't check f77_exception_encountered
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diff
changeset
|
2090 { |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
2091 info = -2; |
|
29980c6b8604
don't check f77_exception_encountered
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diff
changeset
|
2092 |
|
29980c6b8604
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diff
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|
2093 mattype.mark_as_unsymmetric (); |
|
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|
2094 typ = MatrixType::Full; |
|
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diff
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|
2095 } |
|
29980c6b8604
don't check f77_exception_encountered
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diff
changeset
|
2096 else |
| 5785 | 2097 { |
|
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29980c6b8604
don't check f77_exception_encountered
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parents:
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diff
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|
2098 if (calc_cond) |
| 5785 | 2099 { |
|
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29980c6b8604
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|
2100 Array<Complex> z (2 * nc); |
|
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diff
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|
2101 Complex *pz = z.fortran_vec (); |
|
29980c6b8604
don't check f77_exception_encountered
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diff
changeset
|
2102 Array<double> rz (nc); |
|
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don't check f77_exception_encountered
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parents:
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diff
changeset
|
2103 double *prz = rz.fortran_vec (); |
|
29980c6b8604
don't check f77_exception_encountered
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diff
changeset
|
2104 |
|
29980c6b8604
don't check f77_exception_encountered
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diff
changeset
|
2105 F77_XFCN (zpocon, ZPOCON, (F77_CONST_CHAR_ARG2 (&job, 1), |
|
29980c6b8604
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John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
2106 nr, tmp_data, nr, anorm, |
| 7788 | 2107 rcon, pz, prz, info |
|
7482
29980c6b8604
don't check f77_exception_encountered
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parents:
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diff
changeset
|
2108 F77_CHAR_ARG_LEN (1))); |
|
29980c6b8604
don't check f77_exception_encountered
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parents:
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diff
changeset
|
2109 |
|
29980c6b8604
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diff
changeset
|
2110 if (info != 0) |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
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diff
changeset
|
2111 info = -2; |
|
29980c6b8604
don't check f77_exception_encountered
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parents:
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diff
changeset
|
2112 |
| 7788 | 2113 volatile double rcond_plus_one = rcon + 1.0; |
| 2114 | |
| 2115 if (rcond_plus_one == 1.0 || xisnan (rcon)) | |
|
7482
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
2116 { |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2117 info = -2; |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
2118 |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2119 if (sing_handler) |
| 7788 | 2120 sing_handler (rcon); |
|
7482
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
2121 else |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
2122 (*current_liboctave_error_handler) |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2123 ("matrix singular to machine precision, rcond = %g", |
| 7788 | 2124 rcon); |
|
7482
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
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2126 } |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2127 |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2128 if (info == 0) |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2129 { |
|
29980c6b8604
don't check f77_exception_encountered
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parents:
7478
diff
changeset
|
2130 retval = b; |
|
29980c6b8604
don't check f77_exception_encountered
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parents:
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diff
changeset
|
2131 Complex *result = retval.fortran_vec (); |
|
29980c6b8604
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parents:
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diff
changeset
|
2132 |
|
29980c6b8604
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diff
changeset
|
2133 octave_idx_type b_nc = b.cols (); |
|
29980c6b8604
don't check f77_exception_encountered
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parents:
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diff
changeset
|
2134 |
|
29980c6b8604
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John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2135 F77_XFCN (zpotrs, ZPOTRS, (F77_CONST_CHAR_ARG2 (&job, 1), |
|
29980c6b8604
don't check f77_exception_encountered
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parents:
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diff
changeset
|
2136 nr, b_nc, tmp_data, nr, |
|
29980c6b8604
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7478
diff
changeset
|
2137 result, b.rows(), info |
|
29980c6b8604
don't check f77_exception_encountered
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parents:
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diff
changeset
|
2138 F77_CHAR_ARG_LEN (1))); |
|
29980c6b8604
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diff
changeset
|
2139 } |
|
29980c6b8604
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diff
changeset
|
2140 else |
|
29980c6b8604
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parents:
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diff
changeset
|
2141 { |
| 5785 | 2142 mattype.mark_as_unsymmetric (); |
| 2143 typ = MatrixType::Full; | |
| 2144 } | |
| 2145 } | |
| 2146 } | |
| 2147 | |
| 2148 if (typ == MatrixType::Full) | |
| 2149 { | |
| 2150 info = 0; | |
| 2151 | |
| 2152 Array<octave_idx_type> ipvt (nr); | |
| 2153 octave_idx_type *pipvt = ipvt.fortran_vec (); | |
| 2154 | |
| 2155 ComplexMatrix atmp = *this; | |
| 2156 Complex *tmp_data = atmp.fortran_vec (); | |
| 2157 | |
| 2158 Array<Complex> z (2 * nc); | |
| 2159 Complex *pz = z.fortran_vec (); | |
| 2160 Array<double> rz (2 * nc); | |
| 2161 double *prz = rz.fortran_vec (); | |
| 2162 | |
| 2163 // Calculate the norm of the matrix, for later use. | |
| 2164 if (anorm < 0.) | |
| 2165 anorm = atmp.abs().sum().row(static_cast<octave_idx_type>(0)).max(); | |
| 2166 | |
| 2167 F77_XFCN (zgetrf, ZGETRF, (nr, nr, tmp_data, nr, pipvt, info)); | |
| 2168 | |
|
7482
29980c6b8604
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changeset
|
2169 // Throw-away extra info LAPACK gives so as to not change output. |
| 7788 | 2170 rcon = 0.0; |
|
7482
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changeset
|
2171 if (info != 0) |
|
29980c6b8604
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diff
changeset
|
2172 { |
|
29980c6b8604
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parents:
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diff
changeset
|
2173 info = -2; |
|
29980c6b8604
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diff
changeset
|
2174 |
|
29980c6b8604
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John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2175 if (sing_handler) |
| 7788 | 2176 sing_handler (rcon); |
|
7482
29980c6b8604
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diff
changeset
|
2177 else |
|
29980c6b8604
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parents:
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diff
changeset
|
2178 (*current_liboctave_error_handler) |
|
29980c6b8604
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diff
changeset
|
2179 ("matrix singular to machine precision"); |
|
29980c6b8604
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diff
changeset
|
2180 |
|
29980c6b8604
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diff
changeset
|
2181 mattype.mark_as_rectangular (); |
|
29980c6b8604
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diff
changeset
|
2182 } |
|
29980c6b8604
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parents:
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diff
changeset
|
2183 else |
| 5785 | 2184 { |
|
7482
29980c6b8604
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diff
changeset
|
2185 if (calc_cond) |
| 5785 | 2186 { |
|
7482
29980c6b8604
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diff
changeset
|
2187 // Now calculate the condition number for |
|
29980c6b8604
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diff
changeset
|
2188 // non-singular matrix. |
|
29980c6b8604
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diff
changeset
|
2189 char job = '1'; |
|
29980c6b8604
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diff
changeset
|
2190 F77_XFCN (zgecon, ZGECON, (F77_CONST_CHAR_ARG2 (&job, 1), |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
2191 nc, tmp_data, nr, anorm, |
| 7788 | 2192 rcon, pz, prz, info |
|
7482
29980c6b8604
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7478
diff
changeset
|
2193 F77_CHAR_ARG_LEN (1))); |
|
29980c6b8604
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parents:
7478
diff
changeset
|
2194 |
|
29980c6b8604
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diff
changeset
|
2195 if (info != 0) |
|
29980c6b8604
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parents:
7478
diff
changeset
|
2196 info = -2; |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2197 |
| 7788 | 2198 volatile double rcond_plus_one = rcon + 1.0; |
| 2199 | |
| 2200 if (rcond_plus_one == 1.0 || xisnan (rcon)) | |
| 5785 | 2201 { |
|
7482
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2202 info = -2; |
|
29980c6b8604
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John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2203 |
|
29980c6b8604
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John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2204 if (sing_handler) |
| 7788 | 2205 sing_handler (rcon); |
|
7482
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2206 else |
|
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|
2207 (*current_liboctave_error_handler) |
|
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|
2208 ("matrix singular to machine precision, rcond = %g", |
| 7788 | 2209 rcon); |
| 5785 | 2210 } |
| 2211 } | |
|
7482
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|
2212 |
|
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|
2213 if (info == 0) |
|
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|
2214 { |
|
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|
2215 retval = b; |
|
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|
2216 Complex *result = retval.fortran_vec (); |
|
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|
2217 |
|
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2218 octave_idx_type b_nc = b.cols (); |
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2219 |
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|
2220 char job = 'N'; |
|
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changeset
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2221 F77_XFCN (zgetrs, ZGETRS, (F77_CONST_CHAR_ARG2 (&job, 1), |
|
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|
2222 nr, b_nc, tmp_data, nr, |
|
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|
2223 pipvt, result, b.rows(), info |
|
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|
2224 F77_CHAR_ARG_LEN (1))); |
|
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|
2225 } |
|
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|
2226 else |
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changeset
|
2227 mattype.mark_as_rectangular (); |
| 5785 | 2228 } |
| 2229 } | |
| 2230 } | |
| 2231 | |
| 2232 return retval; | |
| 2233 } | |
| 2234 | |
| 2235 ComplexMatrix | |
| 2236 ComplexMatrix::solve (MatrixType &typ, const Matrix& b) const | |
| 2237 { | |
| 2238 octave_idx_type info; | |
| 7788 | 2239 double rcon; |
| 2240 return solve (typ, b, info, rcon, 0); | |
| 5785 | 2241 } |
| 2242 | |
| 2243 ComplexMatrix | |
| 2244 ComplexMatrix::solve (MatrixType &typ, const Matrix& b, | |
| 2245 octave_idx_type& info) const | |
| 2246 { | |
| 7788 | 2247 double rcon; |
| 2248 return solve (typ, b, info, rcon, 0); | |
| 5785 | 2249 } |
| 2250 | |
| 2251 ComplexMatrix | |
| 2252 ComplexMatrix::solve (MatrixType &typ, const Matrix& b, octave_idx_type& info, | |
| 7788 | 2253 double& rcon) const |
| 5785 | 2254 { |
| 7788 | 2255 return solve (typ, b, info, rcon, 0); |
| 5785 | 2256 } |
| 2257 | |
| 2258 ComplexMatrix | |
| 2259 ComplexMatrix::solve (MatrixType &typ, const Matrix& b, octave_idx_type& info, | |
| 7788 | 2260 double& rcon, solve_singularity_handler sing_handler, |
| 5785 | 2261 bool singular_fallback) const |
| 2262 { | |
| 2263 ComplexMatrix tmp (b); | |
| 7788 | 2264 return solve (typ, tmp, info, rcon, sing_handler, singular_fallback); |
| 5785 | 2265 } |
| 2266 | |
| 2267 ComplexMatrix | |
| 2268 ComplexMatrix::solve (MatrixType &typ, const ComplexMatrix& b) const | |
| 2269 { | |
| 2270 octave_idx_type info; | |
| 7788 | 2271 double rcon; |
| 2272 return solve (typ, b, info, rcon, 0); | |
| 5785 | 2273 } |
| 2274 | |
| 2275 ComplexMatrix | |
| 2276 ComplexMatrix::solve (MatrixType &typ, const ComplexMatrix& b, | |
| 2277 octave_idx_type& info) const | |
| 2278 { | |
| 7788 | 2279 double rcon; |
| 2280 return solve (typ, b, info, rcon, 0); | |
| 5785 | 2281 } |
| 2282 | |
| 2283 ComplexMatrix | |
| 2284 ComplexMatrix::solve (MatrixType &typ, const ComplexMatrix& b, | |
| 7788 | 2285 octave_idx_type& info, double& rcon) const |
| 5785 | 2286 { |
| 7788 | 2287 return solve (typ, b, info, rcon, 0); |
| 5785 | 2288 } |
| 2289 | |
| 2290 ComplexMatrix | |
| 2291 ComplexMatrix::solve (MatrixType &mattype, const ComplexMatrix& b, | |
| 7788 | 2292 octave_idx_type& info, double& rcon, |
| 5785 | 2293 solve_singularity_handler sing_handler, |
| 2294 bool singular_fallback) const | |
| 2295 { | |
| 2296 ComplexMatrix retval; | |
| 2297 int typ = mattype.type (); | |
| 2298 | |
| 2299 if (typ == MatrixType::Unknown) | |
| 2300 typ = mattype.type (*this); | |
| 2301 | |
| 2302 // Only calculate the condition number for LU/Cholesky | |
| 2303 if (typ == MatrixType::Upper || typ == MatrixType::Permuted_Upper) | |
| 7788 | 2304 retval = utsolve (mattype, b, info, rcon, sing_handler, false); |
| 5785 | 2305 else if (typ == MatrixType::Lower || typ == MatrixType::Permuted_Lower) |
| 7788 | 2306 retval = ltsolve (mattype, b, info, rcon, sing_handler, false); |
| 5785 | 2307 else if (typ == MatrixType::Full || typ == MatrixType::Hermitian) |
| 7788 | 2308 retval = fsolve (mattype, b, info, rcon, sing_handler, true); |
| 5785 | 2309 else if (typ != MatrixType::Rectangular) |
| 2310 { | |
| 2311 (*current_liboctave_error_handler) ("unknown matrix type"); | |
| 2312 return ComplexMatrix (); | |
| 2313 } | |
| 2314 | |
| 2315 // Rectangular or one of the above solvers flags a singular matrix | |
| 2316 if (singular_fallback && mattype.type () == MatrixType::Rectangular) | |
| 2317 { | |
| 2318 octave_idx_type rank; | |
| 7788 | 2319 retval = lssolve (b, info, rank, rcon); |
| 5785 | 2320 } |
| 2321 | |
| 2322 return retval; | |
| 2323 } | |
| 2324 | |
| 2325 ComplexColumnVector | |
| 2326 ComplexMatrix::solve (MatrixType &typ, const ColumnVector& b) const | |
| 2327 { | |
| 2328 octave_idx_type info; | |
| 7788 | 2329 double rcon; |
| 2330 return solve (typ, ComplexColumnVector (b), info, rcon, 0); | |
| 5785 | 2331 } |
| 2332 | |
| 2333 ComplexColumnVector | |
| 2334 ComplexMatrix::solve (MatrixType &typ, const ColumnVector& b, | |
| 2335 octave_idx_type& info) const | |
| 2336 { | |
| 7788 | 2337 double rcon; |
| 2338 return solve (typ, ComplexColumnVector (b), info, rcon, 0); | |
| 5785 | 2339 } |
| 2340 | |
| 2341 ComplexColumnVector | |
| 2342 ComplexMatrix::solve (MatrixType &typ, const ColumnVector& b, | |
| 7788 | 2343 octave_idx_type& info, double& rcon) const |
| 5785 | 2344 { |
| 7788 | 2345 return solve (typ, ComplexColumnVector (b), info, rcon, 0); |
| 5785 | 2346 } |
| 2347 | |
| 2348 ComplexColumnVector | |
| 2349 ComplexMatrix::solve (MatrixType &typ, const ColumnVector& b, | |
| 7788 | 2350 octave_idx_type& info, double& rcon, |
| 5785 | 2351 solve_singularity_handler sing_handler) const |
| 2352 { | |
| 7788 | 2353 return solve (typ, ComplexColumnVector (b), info, rcon, sing_handler); |
| 5785 | 2354 } |
| 2355 | |
| 2356 ComplexColumnVector | |
| 2357 ComplexMatrix::solve (MatrixType &typ, const ComplexColumnVector& b) const | |
| 2358 { | |
| 2359 octave_idx_type info; | |
| 7788 | 2360 double rcon; |
| 2361 return solve (typ, b, info, rcon, 0); | |
| 5785 | 2362 } |
| 2363 | |
| 2364 ComplexColumnVector | |
| 2365 ComplexMatrix::solve (MatrixType &typ, const ComplexColumnVector& b, | |
| 2366 octave_idx_type& info) const | |
| 2367 { | |
| 7788 | 2368 double rcon; |
| 2369 return solve (typ, b, info, rcon, 0); | |
| 5785 | 2370 } |
| 2371 | |
| 2372 ComplexColumnVector | |
| 2373 ComplexMatrix::solve (MatrixType &typ, const ComplexColumnVector& b, | |
| 7788 | 2374 octave_idx_type& info, double& rcon) const |
| 5785 | 2375 { |
| 7788 | 2376 return solve (typ, b, info, rcon, 0); |
| 5785 | 2377 } |
| 2378 | |
| 2379 ComplexColumnVector | |
| 2380 ComplexMatrix::solve (MatrixType &typ, const ComplexColumnVector& b, | |
| 7788 | 2381 octave_idx_type& info, double& rcon, |
| 5785 | 2382 solve_singularity_handler sing_handler) const |
| 2383 { | |
| 2384 | |
| 2385 ComplexMatrix tmp (b); | |
| 7788 | 2386 return solve (typ, tmp, info, rcon, sing_handler).column(static_cast<octave_idx_type> (0)); |
| 5785 | 2387 } |
| 2388 | |
| 2389 ComplexMatrix | |
| 458 | 2390 ComplexMatrix::solve (const Matrix& b) const |
| 2391 { | |
| 5275 | 2392 octave_idx_type info; |
| 7788 | 2393 double rcon; |
| 2394 return solve (b, info, rcon, 0); | |
| 458 | 2395 } |
| 2396 | |
| 2397 ComplexMatrix | |
| 5275 | 2398 ComplexMatrix::solve (const Matrix& b, octave_idx_type& info) const |
| 458 | 2399 { |
| 7788 | 2400 double rcon; |
| 2401 return solve (b, info, rcon, 0); | |
| 458 | 2402 } |
| 2403 | |
| 2404 ComplexMatrix | |
| 7788 | 2405 ComplexMatrix::solve (const Matrix& b, octave_idx_type& info, double& rcon) const |
| 458 | 2406 { |
| 7788 | 2407 return solve (b, info, rcon, 0); |
| 3480 | 2408 } |
| 2409 | |
| 2410 ComplexMatrix | |
| 7788 | 2411 ComplexMatrix::solve (const Matrix& b, octave_idx_type& info, double& rcon, |
| 3480 | 2412 solve_singularity_handler sing_handler) const |
| 2413 { | |
| 458 | 2414 ComplexMatrix tmp (b); |
| 7788 | 2415 return solve (tmp, info, rcon, sing_handler); |
| 458 | 2416 } |
| 2417 | |
| 2418 ComplexMatrix | |
| 2419 ComplexMatrix::solve (const ComplexMatrix& b) const | |
| 2420 { | |
| 5275 | 2421 octave_idx_type info; |
| 7788 | 2422 double rcon; |
| 2423 return solve (b, info, rcon, 0); | |
| 458 | 2424 } |
| 2425 | |
| 2426 ComplexMatrix | |
| 5275 | 2427 ComplexMatrix::solve (const ComplexMatrix& b, octave_idx_type& info) const |
| 458 | 2428 { |
| 7788 | 2429 double rcon; |
| 2430 return solve (b, info, rcon, 0); | |
| 458 | 2431 } |
| 3480 | 2432 |
| 458 | 2433 ComplexMatrix |
| 7788 | 2434 ComplexMatrix::solve (const ComplexMatrix& b, octave_idx_type& info, double& rcon) const |
| 458 | 2435 { |
| 7788 | 2436 return solve (b, info, rcon, 0); |
| 3480 | 2437 } |
| 2438 | |
| 2439 ComplexMatrix | |
| 7788 | 2440 ComplexMatrix::solve (const ComplexMatrix& b, octave_idx_type& info, double& rcon, |
| 3480 | 2441 solve_singularity_handler sing_handler) const |
| 2442 { | |
| 5785 | 2443 MatrixType mattype (*this); |
| 7788 | 2444 return solve (mattype, b, info, rcon, sing_handler); |
| 458 | 2445 } |
| 2446 | |
| 2447 ComplexColumnVector | |
| 3585 | 2448 ComplexMatrix::solve (const ColumnVector& b) const |
| 2449 { | |
| 5275 | 2450 octave_idx_type info; |
| 7788 | 2451 double rcon; |
| 2452 return solve (ComplexColumnVector (b), info, rcon, 0); | |
| 3585 | 2453 } |
| 2454 | |
| 2455 ComplexColumnVector | |
| 5275 | 2456 ComplexMatrix::solve (const ColumnVector& b, octave_idx_type& info) const |
| 3585 | 2457 { |
| 7788 | 2458 double rcon; |
| 2459 return solve (ComplexColumnVector (b), info, rcon, 0); | |
| 3585 | 2460 } |
| 2461 | |
| 2462 ComplexColumnVector | |
| 5785 | 2463 ComplexMatrix::solve (const ColumnVector& b, octave_idx_type& info, |
| 7788 | 2464 double& rcon) const |
| 3585 | 2465 { |
| 7788 | 2466 return solve (ComplexColumnVector (b), info, rcon, 0); |
| 3585 | 2467 } |
| 2468 | |
| 2469 ComplexColumnVector | |
| 5785 | 2470 ComplexMatrix::solve (const ColumnVector& b, octave_idx_type& info, |
| 7788 | 2471 double& rcon, |
| 3585 | 2472 solve_singularity_handler sing_handler) const |
| 2473 { | |
| 7788 | 2474 return solve (ComplexColumnVector (b), info, rcon, sing_handler); |
| 3585 | 2475 } |
| 2476 | |
| 2477 ComplexColumnVector | |
| 458 | 2478 ComplexMatrix::solve (const ComplexColumnVector& b) const |
| 2479 { | |
| 5275 | 2480 octave_idx_type info; |
| 7788 | 2481 double rcon; |
| 2482 return solve (b, info, rcon, 0); | |
| 458 | 2483 } |
| 2484 | |
| 2485 ComplexColumnVector | |
| 5275 | 2486 ComplexMatrix::solve (const ComplexColumnVector& b, octave_idx_type& info) const |
| 458 | 2487 { |
| 7788 | 2488 double rcon; |
| 2489 return solve (b, info, rcon, 0); | |
| 458 | 2490 } |
| 2491 | |
| 2492 ComplexColumnVector | |
| 5275 | 2493 ComplexMatrix::solve (const ComplexColumnVector& b, octave_idx_type& info, |
| 7788 | 2494 double& rcon) const |
| 458 | 2495 { |
| 7788 | 2496 return solve (b, info, rcon, 0); |
| 3480 | 2497 } |
| 2498 | |
| 2499 ComplexColumnVector | |
| 5275 | 2500 ComplexMatrix::solve (const ComplexColumnVector& b, octave_idx_type& info, |
| 7788 | 2501 double& rcon, |
| 3480 | 2502 solve_singularity_handler sing_handler) const |
| 2503 { | |
| 5785 | 2504 MatrixType mattype (*this); |
| 7788 | 2505 return solve (mattype, b, info, rcon, sing_handler); |
| 458 | 2506 } |
| 2507 | |
| 2508 ComplexMatrix | |
| 3585 | 2509 ComplexMatrix::lssolve (const Matrix& b) const |
| 2510 { | |
| 5275 | 2511 octave_idx_type info; |
| 2512 octave_idx_type rank; | |
| 7788 | 2513 double rcon; |
| 2514 return lssolve (ComplexMatrix (b), info, rank, rcon); | |
| 3585 | 2515 } |
| 2516 | |
| 2517 ComplexMatrix | |
| 5275 | 2518 ComplexMatrix::lssolve (const Matrix& b, octave_idx_type& info) const |
| 3585 | 2519 { |
| 5275 | 2520 octave_idx_type rank; |
| 7788 | 2521 double rcon; |
| 2522 return lssolve (ComplexMatrix (b), info, rank, rcon); | |
| 3585 | 2523 } |
| 2524 | |
| 2525 ComplexMatrix | |
| 7076 | 2526 ComplexMatrix::lssolve (const Matrix& b, octave_idx_type& info, |
| 2527 octave_idx_type& rank) const | |
| 3585 | 2528 { |
| 7788 | 2529 double rcon; |
| 2530 return lssolve (ComplexMatrix (b), info, rank, rcon); | |
| 7076 | 2531 } |
| 2532 | |
| 2533 ComplexMatrix | |
| 2534 ComplexMatrix::lssolve (const Matrix& b, octave_idx_type& info, | |
| 7788 | 2535 octave_idx_type& rank, double& rcon) const |
| 7076 | 2536 { |
| 7788 | 2537 return lssolve (ComplexMatrix (b), info, rank, rcon); |
| 3585 | 2538 } |
| 2539 | |
| 2540 ComplexMatrix | |
| 458 | 2541 ComplexMatrix::lssolve (const ComplexMatrix& b) const |
| 2542 { | |
| 5275 | 2543 octave_idx_type info; |
| 2544 octave_idx_type rank; | |
| 7788 | 2545 double rcon; |
| 2546 return lssolve (b, info, rank, rcon); | |
| 458 | 2547 } |
| 2548 | |
| 2549 ComplexMatrix | |
| 5275 | 2550 ComplexMatrix::lssolve (const ComplexMatrix& b, octave_idx_type& info) const |
| 458 | 2551 { |
| 5275 | 2552 octave_idx_type rank; |
| 7788 | 2553 double rcon; |
| 2554 return lssolve (b, info, rank, rcon); | |
| 458 | 2555 } |
| 2556 | |
| 2557 ComplexMatrix | |
| 7076 | 2558 ComplexMatrix::lssolve (const ComplexMatrix& b, octave_idx_type& info, |
| 2559 octave_idx_type& rank) const | |
| 2560 { | |
| 7788 | 2561 double rcon; |
| 2562 return lssolve (b, info, rank, rcon); | |
| 7076 | 2563 } |
| 2564 | |
| 2565 ComplexMatrix | |
| 2566 ComplexMatrix::lssolve (const ComplexMatrix& b, octave_idx_type& info, | |
| 7788 | 2567 octave_idx_type& rank, double& rcon) const |
| 458 | 2568 { |
| 1948 | 2569 ComplexMatrix retval; |
| 2570 | |
| 5275 | 2571 octave_idx_type nrhs = b.cols (); |
| 2572 | |
| 2573 octave_idx_type m = rows (); | |
| 2574 octave_idx_type n = cols (); | |
| 458 | 2575 |
| 6924 | 2576 if (m != b.rows ()) |
| 1948 | 2577 (*current_liboctave_error_handler) |
| 2578 ("matrix dimension mismatch solution of linear equations"); | |
| 6924 | 2579 else if (m== 0 || n == 0 || b.cols () == 0) |
| 2580 retval = ComplexMatrix (n, b.cols (), Complex (0.0, 0.0)); | |
| 1948 | 2581 else |
| 458 | 2582 { |
| 7072 | 2583 volatile octave_idx_type minmn = (m < n ? m : n); |
| 2584 octave_idx_type maxmn = m > n ? m : n; | |
| 7788 | 2585 rcon = -1.0; |
| 7072 | 2586 |
| 2587 if (m != n) | |
| 2588 { | |
| 2589 retval = ComplexMatrix (maxmn, nrhs); | |
| 2590 | |
| 2591 for (octave_idx_type j = 0; j < nrhs; j++) | |
| 2592 for (octave_idx_type i = 0; i < m; i++) | |
| 2593 retval.elem (i, j) = b.elem (i, j); | |
| 2594 } | |
| 2595 else | |
| 2596 retval = b; | |
| 2597 | |
| 1948 | 2598 ComplexMatrix atmp = *this; |
| 2599 Complex *tmp_data = atmp.fortran_vec (); | |
| 2600 | |
| 7072 | 2601 Complex *pretval = retval.fortran_vec (); |
| 2602 Array<double> s (minmn); | |
| 7071 | 2603 double *ps = s.fortran_vec (); |
| 2563 | 2604 |
| 7072 | 2605 // Ask ZGELSD what the dimension of WORK should be. |
| 5275 | 2606 octave_idx_type lwork = -1; |
| 3752 | 2607 |
| 2608 Array<Complex> work (1); | |
| 7079 | 2609 |
| 7477 | 2610 octave_idx_type smlsiz; |
| 2611 F77_FUNC (xilaenv, XILAENV) (9, F77_CONST_CHAR_ARG2 ("ZGELSD", 6), | |
| 2612 F77_CONST_CHAR_ARG2 (" ", 1), | |
| 7478 | 2613 0, 0, 0, 0, smlsiz |
| 7477 | 2614 F77_CHAR_ARG_LEN (6) |
| 7478 | 2615 F77_CHAR_ARG_LEN (1)); |
| 7079 | 2616 |
|
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2617 octave_idx_type mnthr; |
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2618 F77_FUNC (xilaenv, XILAENV) (6, F77_CONST_CHAR_ARG2 ("ZGELSD", 6), |
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2619 F77_CONST_CHAR_ARG2 (" ", 1), |
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2620 m, n, nrhs, -1, mnthr |
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2621 F77_CHAR_ARG_LEN (6) |
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2622 F77_CHAR_ARG_LEN (1)); |
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2623 |
| 7079 | 2624 // We compute the size of rwork and iwork because ZGELSD in |
| 2625 // older versions of LAPACK does not return them on a query | |
| 2626 // call. | |
| 7124 | 2627 double dminmn = static_cast<double> (minmn); |
| 2628 double dsmlsizp1 = static_cast<double> (smlsiz+1); | |
| 7079 | 2629 #if defined (HAVE_LOG2) |
|
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2630 double tmp = log2 (dminmn / dsmlsizp1); |
| 7079 | 2631 #else |
|
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2632 double tmp = log (dminmn / dsmlsizp1) / log (2.0); |
| 7079 | 2633 #endif |
|
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2634 octave_idx_type nlvl = static_cast<octave_idx_type> (tmp) + 1; |
| 7079 | 2635 if (nlvl < 0) |
| 2636 nlvl = 0; | |
| 2637 | |
| 2638 octave_idx_type lrwork = minmn*(10 + 2*smlsiz + 8*nlvl) | |
| 2639 + 3*smlsiz*nrhs + (smlsiz+1)*(smlsiz+1); | |
| 2640 if (lrwork < 1) | |
| 2641 lrwork = 1; | |
| 2642 Array<double> rwork (lrwork); | |
| 2643 double *prwork = rwork.fortran_vec (); | |
| 2644 | |
| 2645 octave_idx_type liwork = 3 * minmn * nlvl + 11 * minmn; | |
| 2646 if (liwork < 1) | |
| 2647 liwork = 1; | |
| 2648 Array<octave_idx_type> iwork (liwork); | |
| 2649 octave_idx_type* piwork = iwork.fortran_vec (); | |
| 7072 | 2650 |
| 2651 F77_XFCN (zgelsd, ZGELSD, (m, n, nrhs, tmp_data, m, pretval, maxmn, | |
| 7788 | 2652 ps, rcon, rank, work.fortran_vec (), |
| 7079 | 2653 lwork, prwork, piwork, info)); |
| 1948 | 2654 |
| 7476 | 2655 // The workspace query is broken in at least LAPACK 3.0.0 |
|
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diff
changeset
|
2656 // through 3.1.1 when n >= mnthr. The obtuse formula below |
|
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|
2657 // should provide sufficient workspace for ZGELSD to operate |
| 7476 | 2658 // efficiently. |
|
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diff
changeset
|
2659 if (n >= mnthr) |
| 7476 | 2660 { |
| 2661 octave_idx_type addend = m; | |
| 2662 | |
| 2663 if (2*m-4 > addend) | |
| 2664 addend = 2*m-4; | |
| 2665 | |
| 2666 if (nrhs > addend) | |
| 2667 addend = nrhs; | |
| 2668 | |
| 2669 if (n-3*m > addend) | |
| 2670 addend = n-3*m; | |
| 2671 | |
| 2672 const octave_idx_type lworkaround = 4*m + m*m + addend; | |
| 2673 | |
| 2674 if (std::real (work(0)) < lworkaround) | |
| 2675 work(0) = lworkaround; | |
| 2676 } | |
|
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|
2677 else if (m >= n) |
|
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parents:
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diff
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|
2678 { |
|
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diff
changeset
|
2679 octave_idx_type lworkaround = 2*m + m*nrhs; |
|
493bb0de3199
avoid another xGELSD workspace query bug
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diff
changeset
|
2680 |
|
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changeset
|
2681 if (std::real (work(0)) < lworkaround) |
|
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avoid another xGELSD workspace query bug
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diff
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|
2682 work(0) = lworkaround; |
|
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|
2683 } |
| 7476 | 2684 |
|
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|
2685 lwork = static_cast<octave_idx_type> (std::real (work(0))); |
|
29980c6b8604
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changeset
|
2686 work.resize (lwork); |
|
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changeset
|
2687 |
|
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don't check f77_exception_encountered
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diff
changeset
|
2688 F77_XFCN (zgelsd, ZGELSD, (m, n, nrhs, tmp_data, m, pretval, |
| 7788 | 2689 maxmn, ps, rcon, rank, |
|
7482
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diff
changeset
|
2690 work.fortran_vec (), lwork, |
|
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diff
changeset
|
2691 prwork, piwork, info)); |
|
29980c6b8604
don't check f77_exception_encountered
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diff
changeset
|
2692 |
|
29980c6b8604
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changeset
|
2693 if (rank < minmn) |
|
29980c6b8604
don't check f77_exception_encountered
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diff
changeset
|
2694 (*current_liboctave_warning_handler) |
|
29980c6b8604
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7478
diff
changeset
|
2695 ("zgelsd: rank deficient %dx%d matrix, rank = %d, tol = %e", |
| 7788 | 2696 m, n, rank, rcon); |
|
7482
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changeset
|
2697 |
|
29980c6b8604
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diff
changeset
|
2698 if (s.elem (0) == 0.0) |
| 7788 | 2699 rcon = 0.0; |
| 1948 | 2700 else |
| 7788 | 2701 rcon = s.elem (minmn - 1) / s.elem (0); |
|
7482
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|
2702 |
|
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changeset
|
2703 retval.resize (n, nrhs); |
| 458 | 2704 } |
| 2705 | |
| 2706 return retval; | |
| 2707 } | |
| 2708 | |
| 2709 ComplexColumnVector | |
| 3585 | 2710 ComplexMatrix::lssolve (const ColumnVector& b) const |
| 2711 { | |
| 5275 | 2712 octave_idx_type info; |
| 2713 octave_idx_type rank; | |
| 7788 | 2714 double rcon; |
| 2715 return lssolve (ComplexColumnVector (b), info, rank, rcon); | |
| 3585 | 2716 } |
| 2717 | |
| 2718 ComplexColumnVector | |
| 5275 | 2719 ComplexMatrix::lssolve (const ColumnVector& b, octave_idx_type& info) const |
| 3585 | 2720 { |
| 5275 | 2721 octave_idx_type rank; |
| 7788 | 2722 double rcon; |
| 2723 return lssolve (ComplexColumnVector (b), info, rank, rcon); | |
| 3585 | 2724 } |
| 2725 | |
| 2726 ComplexColumnVector | |
| 7076 | 2727 ComplexMatrix::lssolve (const ColumnVector& b, octave_idx_type& info, |
| 2728 octave_idx_type& rank) const | |
| 3585 | 2729 { |
| 7788 | 2730 double rcon; |
| 2731 return lssolve (ComplexColumnVector (b), info, rank, rcon); | |
| 7076 | 2732 } |
| 2733 | |
| 2734 ComplexColumnVector | |
| 2735 ComplexMatrix::lssolve (const ColumnVector& b, octave_idx_type& info, | |
| 7788 | 2736 octave_idx_type& rank, double& rcon) const |
| 7076 | 2737 { |
| 7788 | 2738 return lssolve (ComplexColumnVector (b), info, rank, rcon); |
| 3585 | 2739 } |
| 2740 | |
| 2741 ComplexColumnVector | |
| 458 | 2742 ComplexMatrix::lssolve (const ComplexColumnVector& b) const |
| 2743 { | |
| 5275 | 2744 octave_idx_type info; |
| 2745 octave_idx_type rank; | |
| 7788 | 2746 double rcon; |
| 2747 return lssolve (b, info, rank, rcon); | |
| 458 | 2748 } |
| 2749 | |
| 2750 ComplexColumnVector | |
| 5275 | 2751 ComplexMatrix::lssolve (const ComplexColumnVector& b, octave_idx_type& info) const |
| 458 | 2752 { |
| 5275 | 2753 octave_idx_type rank; |
| 7788 | 2754 double rcon; |
| 2755 return lssolve (b, info, rank, rcon); | |
| 458 | 2756 } |
| 2757 | |
| 2758 ComplexColumnVector | |
| 5275 | 2759 ComplexMatrix::lssolve (const ComplexColumnVector& b, octave_idx_type& info, |
| 2760 octave_idx_type& rank) const | |
| 458 | 2761 { |
| 7788 | 2762 double rcon; |
| 2763 return lssolve (b, info, rank, rcon); | |
| 7076 | 2764 |
| 2765 } | |
| 2766 | |
| 2767 ComplexColumnVector | |
| 2768 ComplexMatrix::lssolve (const ComplexColumnVector& b, octave_idx_type& info, | |
| 7788 | 2769 octave_idx_type& rank, double& rcon) const |
| 7076 | 2770 { |
| 1948 | 2771 ComplexColumnVector retval; |
| 2772 | |
| 5275 | 2773 octave_idx_type nrhs = 1; |
| 2774 | |
| 2775 octave_idx_type m = rows (); | |
| 2776 octave_idx_type n = cols (); | |
| 458 | 2777 |
| 6924 | 2778 if (m != b.length ()) |
| 1948 | 2779 (*current_liboctave_error_handler) |
| 6924 | 2780 ("matrix dimension mismatch solution of linear equations"); |
| 2781 else if (m == 0 || n == 0 || b.cols () == 0) | |
| 2782 retval = ComplexColumnVector (n, Complex (0.0, 0.0)); | |
| 1948 | 2783 else |
| 458 | 2784 { |
| 7072 | 2785 volatile octave_idx_type minmn = (m < n ? m : n); |
| 2786 octave_idx_type maxmn = m > n ? m : n; | |
| 7788 | 2787 rcon = -1.0; |
| 7072 | 2788 |
| 2789 if (m != n) | |
| 2790 { | |
| 2791 retval = ComplexColumnVector (maxmn); | |
| 2792 | |
| 2793 for (octave_idx_type i = 0; i < m; i++) | |
| 2794 retval.elem (i) = b.elem (i); | |
| 2795 } | |
| 2796 else | |
| 2797 retval = b; | |
| 2798 | |
| 1948 | 2799 ComplexMatrix atmp = *this; |
| 2800 Complex *tmp_data = atmp.fortran_vec (); | |
| 2801 | |
| 7072 | 2802 Complex *pretval = retval.fortran_vec (); |
| 2803 Array<double> s (minmn); | |
| 7071 | 2804 double *ps = s.fortran_vec (); |
| 1948 | 2805 |
| 7072 | 2806 // Ask ZGELSD what the dimension of WORK should be. |
| 5275 | 2807 octave_idx_type lwork = -1; |
| 3752 | 2808 |
| 2809 Array<Complex> work (1); | |
| 7079 | 2810 |
|
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parents:
7532
diff
changeset
|
2811 octave_idx_type smlsiz; |
|
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more xGELSD workspace fixes
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7532
diff
changeset
|
2812 F77_FUNC (xilaenv, XILAENV) (9, F77_CONST_CHAR_ARG2 ("ZGELSD", 6), |
|
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diff
changeset
|
2813 F77_CONST_CHAR_ARG2 (" ", 1), |
|
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more xGELSD workspace fixes
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parents:
7532
diff
changeset
|
2814 0, 0, 0, 0, smlsiz |
|
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7532
diff
changeset
|
2815 F77_CHAR_ARG_LEN (6) |
|
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more xGELSD workspace fixes
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parents:
7532
diff
changeset
|
2816 F77_CHAR_ARG_LEN (1)); |
| 7079 | 2817 |
| 2818 // We compute the size of rwork and iwork because ZGELSD in | |
| 2819 // older versions of LAPACK does not return them on a query | |
| 2820 // call. | |
| 7124 | 2821 double dminmn = static_cast<double> (minmn); |
| 2822 double dsmlsizp1 = static_cast<double> (smlsiz+1); | |
| 7079 | 2823 #if defined (HAVE_LOG2) |
|
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parents:
7532
diff
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|
2824 double tmp = log2 (dminmn / dsmlsizp1); |
| 7079 | 2825 #else |
|
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7532
diff
changeset
|
2826 double tmp = log (dminmn / dsmlsizp1) / log (2.0); |
| 7079 | 2827 #endif |
|
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diff
changeset
|
2828 octave_idx_type nlvl = static_cast<octave_idx_type> (tmp) + 1; |
| 7079 | 2829 if (nlvl < 0) |
| 2830 nlvl = 0; | |
| 2831 | |
| 2832 octave_idx_type lrwork = minmn*(10 + 2*smlsiz + 8*nlvl) | |
| 2833 + 3*smlsiz*nrhs + (smlsiz+1)*(smlsiz+1); | |
| 2834 if (lrwork < 1) | |
| 2835 lrwork = 1; | |
| 2836 Array<double> rwork (lrwork); | |
| 2837 double *prwork = rwork.fortran_vec (); | |
| 2838 | |
| 2839 octave_idx_type liwork = 3 * minmn * nlvl + 11 * minmn; | |
| 2840 if (liwork < 1) | |
| 2841 liwork = 1; | |
| 2842 Array<octave_idx_type> iwork (liwork); | |
| 2843 octave_idx_type* piwork = iwork.fortran_vec (); | |
| 7072 | 2844 |
| 2845 F77_XFCN (zgelsd, ZGELSD, (m, n, nrhs, tmp_data, m, pretval, maxmn, | |
| 7788 | 2846 ps, rcon, rank, work.fortran_vec (), |
| 7079 | 2847 lwork, prwork, piwork, info)); |
| 1948 | 2848 |
|
7482
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changeset
|
2849 lwork = static_cast<octave_idx_type> (std::real (work(0))); |
|
29980c6b8604
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diff
changeset
|
2850 work.resize (lwork); |
|
29980c6b8604
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parents:
7478
diff
changeset
|
2851 rwork.resize (static_cast<octave_idx_type> (rwork(0))); |
|
29980c6b8604
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diff
changeset
|
2852 iwork.resize (iwork(0)); |
|
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7478
diff
changeset
|
2853 |
|
29980c6b8604
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7478
diff
changeset
|
2854 F77_XFCN (zgelsd, ZGELSD, (m, n, nrhs, tmp_data, m, pretval, |
| 7788 | 2855 maxmn, ps, rcon, rank, |
|
7482
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diff
changeset
|
2856 work.fortran_vec (), lwork, |
|
29980c6b8604
don't check f77_exception_encountered
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7478
diff
changeset
|
2857 prwork, piwork, info)); |
|
29980c6b8604
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diff
changeset
|
2858 |
|
29980c6b8604
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diff
changeset
|
2859 if (rank < minmn) |
| 1948 | 2860 { |
|
7482
29980c6b8604
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diff
changeset
|
2861 if (rank < minmn) |
|
29980c6b8604
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7478
diff
changeset
|
2862 (*current_liboctave_warning_handler) |
|
29980c6b8604
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7478
diff
changeset
|
2863 ("zgelsd: rank deficient %dx%d matrix, rank = %d, tol = %e", |
| 7788 | 2864 m, n, rank, rcon); |
|
7482
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|
2865 |
|
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diff
changeset
|
2866 if (s.elem (0) == 0.0) |
| 7788 | 2867 rcon = 0.0; |
|
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diff
changeset
|
2868 else |
| 7788 | 2869 rcon = s.elem (minmn - 1) / s.elem (0); |
|
7482
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|
2870 |
|
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diff
changeset
|
2871 retval.resize (n, nrhs); |
| 1948 | 2872 } |
| 458 | 2873 } |
| 2874 | |
| 2875 return retval; | |
| 2876 } | |
| 2877 | |
| 1205 | 2878 // column vector by row vector -> matrix operations |
| 2879 | |
| 2880 ComplexMatrix | |
| 2881 operator * (const ColumnVector& v, const ComplexRowVector& a) | |
| 2882 { | |
| 2883 ComplexColumnVector tmp (v); | |
| 2884 return tmp * a; | |
| 2885 } | |
| 2886 | |
| 2887 ComplexMatrix | |
| 2888 operator * (const ComplexColumnVector& a, const RowVector& b) | |
| 2889 { | |
| 2890 ComplexRowVector tmp (b); | |
| 2891 return a * tmp; | |
| 2892 } | |
| 2893 | |
| 2894 ComplexMatrix | |
| 2895 operator * (const ComplexColumnVector& v, const ComplexRowVector& a) | |
| 2896 { | |
| 1948 | 2897 ComplexMatrix retval; |
| 2898 | |
| 5275 | 2899 octave_idx_type len = v.length (); |
| 3233 | 2900 |
| 2901 if (len != 0) | |
| 1205 | 2902 { |
| 5275 | 2903 octave_idx_type a_len = a.length (); |
| 3233 | 2904 |
| 2905 retval.resize (len, a_len); | |
| 2906 Complex *c = retval.fortran_vec (); | |
| 2907 | |
| 4552 | 2908 F77_XFCN (zgemm, ZGEMM, (F77_CONST_CHAR_ARG2 ("N", 1), |
| 2909 F77_CONST_CHAR_ARG2 ("N", 1), | |
| 2910 len, a_len, 1, 1.0, v.data (), len, | |
| 2911 a.data (), 1, 0.0, c, len | |
| 2912 F77_CHAR_ARG_LEN (1) | |
| 2913 F77_CHAR_ARG_LEN (1))); | |
| 1205 | 2914 } |
| 2915 | |
| 1948 | 2916 return retval; |
| 1205 | 2917 } |
| 2918 | |
| 458 | 2919 // matrix by diagonal matrix -> matrix operations |
| 2920 | |
| 2921 ComplexMatrix& | |
| 2922 ComplexMatrix::operator += (const DiagMatrix& a) | |
| 2923 { | |
| 5275 | 2924 octave_idx_type nr = rows (); |
| 2925 octave_idx_type nc = cols (); | |
| 2926 | |
| 2927 octave_idx_type a_nr = rows (); | |
| 2928 octave_idx_type a_nc = cols (); | |
| 2384 | 2929 |
| 2930 if (nr != a_nr || nc != a_nc) | |
| 458 | 2931 { |
| 2384 | 2932 gripe_nonconformant ("operator +=", nr, nc, a_nr, a_nc); |
| 889 | 2933 return *this; |
| 458 | 2934 } |
| 2935 | |
| 5275 | 2936 for (octave_idx_type i = 0; i < a.length (); i++) |
| 458 | 2937 elem (i, i) += a.elem (i, i); |
| 2938 | |
| 2939 return *this; | |
| 2940 } | |
| 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 ComplexDiagMatrix& 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 // matrix by matrix -> matrix operations | |
| 3006 | |
| 3007 ComplexMatrix& | |
| 3008 ComplexMatrix::operator += (const Matrix& a) | |
| 3009 { | |
| 5275 | 3010 octave_idx_type nr = rows (); |
| 3011 octave_idx_type nc = cols (); | |
| 3012 | |
| 3013 octave_idx_type a_nr = a.rows (); | |
| 3014 octave_idx_type a_nc = a.cols (); | |
| 2384 | 3015 |
| 3016 if (nr != a_nr || nc != a_nc) | |
| 458 | 3017 { |
| 2384 | 3018 gripe_nonconformant ("operator +=", nr, nc, a_nr, a_nc); |
| 458 | 3019 return *this; |
| 3020 } | |
| 3021 | |
| 3022 if (nr == 0 || nc == 0) | |
| 3023 return *this; | |
| 3024 | |
| 3025 Complex *d = fortran_vec (); // Ensures only one reference to my privates! | |
| 3026 | |
| 3769 | 3027 mx_inline_add2 (d, a.data (), length ()); |
| 458 | 3028 return *this; |
| 3029 } | |
| 3030 | |
| 3031 ComplexMatrix& | |
| 3032 ComplexMatrix::operator -= (const Matrix& a) | |
| 3033 { | |
| 5275 | 3034 octave_idx_type nr = rows (); |
| 3035 octave_idx_type nc = cols (); | |
| 3036 | |
| 3037 octave_idx_type a_nr = a.rows (); | |
| 3038 octave_idx_type a_nc = a.cols (); | |
| 2384 | 3039 |
| 3040 if (nr != a_nr || nc != a_nc) | |
| 458 | 3041 { |
| 2384 | 3042 gripe_nonconformant ("operator -=", nr, nc, a_nr, a_nc); |
| 458 | 3043 return *this; |
| 3044 } | |
| 3045 | |
| 3046 if (nr == 0 || nc == 0) | |
| 3047 return *this; | |
| 3048 | |
| 3049 Complex *d = fortran_vec (); // Ensures only one reference to my privates! | |
| 3050 | |
| 3769 | 3051 mx_inline_subtract2 (d, a.data (), length ()); |
| 458 | 3052 return *this; |
| 3053 } | |
| 3054 | |
| 3055 // unary operations | |
| 3056 | |
| 2964 | 3057 boolMatrix |
| 458 | 3058 ComplexMatrix::operator ! (void) const |
| 3059 { | |
| 5275 | 3060 octave_idx_type nr = rows (); |
| 3061 octave_idx_type nc = cols (); | |
| 2964 | 3062 |
| 3063 boolMatrix b (nr, nc); | |
| 3064 | |
| 5275 | 3065 for (octave_idx_type j = 0; j < nc; j++) |
| 3066 for (octave_idx_type i = 0; i < nr; i++) | |
| 5139 | 3067 b.elem (i, j) = elem (i, j) == 0.0; |
| 2964 | 3068 |
| 3069 return b; | |
| 458 | 3070 } |
| 3071 | |
| 3072 // other operations | |
| 3073 | |
| 2676 | 3074 Matrix |
|
7503
8c32f95c2639
convert mapper functions to new format
David Bateman <dbateman@free.fr>
parents:
7488
diff
changeset
|
3075 ComplexMatrix::map (dmapper fcn) const |
| 458 | 3076 { |
|
7503
8c32f95c2639
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David Bateman <dbateman@free.fr>
parents:
7488
diff
changeset
|
3077 return MArray2<Complex>::map<double> (func_ptr (fcn)); |
|
8c32f95c2639
convert mapper functions to new format
David Bateman <dbateman@free.fr>
parents:
7488
diff
changeset
|
3078 } |
|
8c32f95c2639
convert mapper functions to new format
David Bateman <dbateman@free.fr>
parents:
7488
diff
changeset
|
3079 |
|
8c32f95c2639
convert mapper functions to new format
David Bateman <dbateman@free.fr>
parents:
7488
diff
changeset
|
3080 ComplexMatrix |
|
8c32f95c2639
convert mapper functions to new format
David Bateman <dbateman@free.fr>
parents:
7488
diff
changeset
|
3081 ComplexMatrix::map (cmapper fcn) const |
|
8c32f95c2639
convert mapper functions to new format
David Bateman <dbateman@free.fr>
parents:
7488
diff
changeset
|
3082 { |
|
8c32f95c2639
convert mapper functions to new format
David Bateman <dbateman@free.fr>
parents:
7488
diff
changeset
|
3083 return MArray2<Complex>::map<Complex> (func_ptr (fcn)); |
| 3248 | 3084 } |
| 3085 | |
| 3086 boolMatrix | |
|
7503
8c32f95c2639
convert mapper functions to new format
David Bateman <dbateman@free.fr>
parents:
7488
diff
changeset
|
3087 ComplexMatrix::map (bmapper fcn) const |
| 3248 | 3088 { |
|
7503
8c32f95c2639
convert mapper functions to new format
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parents:
7488
diff
changeset
|
3089 return MArray2<Complex>::map<bool> (func_ptr (fcn)); |
| 458 | 3090 } |
| 3091 | |
| 2384 | 3092 bool |
|
7922
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3093 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
|
3094 { |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3095 octave_idx_type nr = rows (); |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3096 octave_idx_type nc = cols (); |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3097 |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3098 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
|
3099 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
|
3100 { |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3101 Complex val = elem (i, j); |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3102 if (xisnan (val)) |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3103 return true; |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3104 } |
|
935be827eaf8
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John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3105 |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3106 return false; |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3107 } |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3108 |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3109 bool |
| 2384 | 3110 ComplexMatrix::any_element_is_inf_or_nan (void) const |
| 3111 { | |
| 5275 | 3112 octave_idx_type nr = rows (); |
| 3113 octave_idx_type nc = cols (); | |
| 3114 | |
| 3115 for (octave_idx_type j = 0; j < nc; j++) | |
| 3116 for (octave_idx_type i = 0; i < nr; i++) | |
| 2384 | 3117 { |
| 3118 Complex val = elem (i, j); | |
| 3119 if (xisinf (val) || xisnan (val)) | |
| 3120 return true; | |
| 3121 } | |
| 3122 | |
| 3123 return false; | |
| 3124 } | |
| 3125 | |
| 2408 | 3126 // Return true if no elements have imaginary components. |
| 3127 | |
| 3128 bool | |
| 3129 ComplexMatrix::all_elements_are_real (void) const | |
| 3130 { | |
| 5275 | 3131 octave_idx_type nr = rows (); |
| 3132 octave_idx_type nc = cols (); | |
| 3133 | |
| 3134 for (octave_idx_type j = 0; j < nc; j++) | |
| 4349 | 3135 { |
| 5275 | 3136 for (octave_idx_type i = 0; i < nr; i++) |
| 4349 | 3137 { |
| 5315 | 3138 double ip = std::imag (elem (i, j)); |
| 4349 | 3139 |
| 3140 if (ip != 0.0 || lo_ieee_signbit (ip)) | |
| 3141 return false; | |
| 3142 } | |
| 3143 } | |
| 2408 | 3144 |
| 3145 return true; | |
| 3146 } | |
| 3147 | |
| 1968 | 3148 // Return nonzero if any element of CM has a non-integer real or |
| 3149 // imaginary part. Also extract the largest and smallest (real or | |
| 3150 // imaginary) values and return them in MAX_VAL and MIN_VAL. | |
| 3151 | |
| 2384 | 3152 bool |
| 1968 | 3153 ComplexMatrix::all_integers (double& max_val, double& min_val) const |
| 3154 { | |
| 5275 | 3155 octave_idx_type nr = rows (); |
| 3156 octave_idx_type nc = cols (); | |
| 1968 | 3157 |
| 3158 if (nr > 0 && nc > 0) | |
| 3159 { | |
| 3160 Complex val = elem (0, 0); | |
| 3161 | |
| 5315 | 3162 double r_val = std::real (val); |
| 3163 double i_val = std::imag (val); | |
| 1968 | 3164 |
| 3165 max_val = r_val; | |
| 3166 min_val = r_val; | |
| 3167 | |
| 3168 if (i_val > max_val) | |
| 3169 max_val = i_val; | |
| 3170 | |
| 3171 if (i_val < max_val) | |
| 3172 min_val = i_val; | |
| 3173 } | |
| 3174 else | |
| 2384 | 3175 return false; |
| 1968 | 3176 |
| 5275 | 3177 for (octave_idx_type j = 0; j < nc; j++) |
| 3178 for (octave_idx_type i = 0; i < nr; i++) | |
| 1968 | 3179 { |
| 3180 Complex val = elem (i, j); | |
| 3181 | |
| 5315 | 3182 double r_val = std::real (val); |
| 3183 double i_val = std::imag (val); | |
| 1968 | 3184 |
| 3185 if (r_val > max_val) | |
| 3186 max_val = r_val; | |
| 3187 | |
| 3188 if (i_val > max_val) | |
| 3189 max_val = i_val; | |
| 3190 | |
| 3191 if (r_val < min_val) | |
| 3192 min_val = r_val; | |
| 3193 | |
| 3194 if (i_val < min_val) | |
| 3195 min_val = i_val; | |
| 3196 | |
| 3197 if (D_NINT (r_val) != r_val || D_NINT (i_val) != i_val) | |
| 2384 | 3198 return false; |
| 1968 | 3199 } |
| 2384 | 3200 |
| 3201 return true; | |
| 1968 | 3202 } |
| 3203 | |
| 2384 | 3204 bool |
| 1968 | 3205 ComplexMatrix::too_large_for_float (void) const |
| 3206 { | |
| 5275 | 3207 octave_idx_type nr = rows (); |
| 3208 octave_idx_type nc = cols (); | |
| 3209 | |
| 3210 for (octave_idx_type j = 0; j < nc; j++) | |
| 3211 for (octave_idx_type i = 0; i < nr; i++) | |
| 1968 | 3212 { |
| 3213 Complex val = elem (i, j); | |
| 3214 | |
| 5315 | 3215 double r_val = std::real (val); |
| 3216 double i_val = std::imag (val); | |
| 1968 | 3217 |
| 5389 | 3218 if ((! (xisnan (r_val) || xisinf (r_val)) |
| 5387 | 3219 && fabs (r_val) > FLT_MAX) |
| 5389 | 3220 || (! (xisnan (i_val) || xisinf (i_val)) |
| 5387 | 3221 && fabs (i_val) > FLT_MAX)) |
| 2384 | 3222 return true; |
| 1968 | 3223 } |
| 3224 | |
| 2384 | 3225 return false; |
| 1968 | 3226 } |
| 3227 | |
| 5775 | 3228 // FIXME Do these really belong here? Maybe they should be |
| 4015 | 3229 // in a base class? |
| 3230 | |
| 2832 | 3231 boolMatrix |
| 4015 | 3232 ComplexMatrix::all (int dim) const |
| 458 | 3233 { |
|
8743
1bd918cfb6e2
reimplement any & all using the new reduction code
Jaroslav Hajek <highegg@gmail.com>
parents:
8736
diff
changeset
|
3234 return do_mx_red_op<boolMatrix> (*this, dim, mx_inline_all); |
| 458 | 3235 } |
| 3236 | |
| 2832 | 3237 boolMatrix |
| 4015 | 3238 ComplexMatrix::any (int dim) const |
| 458 | 3239 { |
|
8743
1bd918cfb6e2
reimplement any & all using the new reduction code
Jaroslav Hajek <highegg@gmail.com>
parents:
8736
diff
changeset
|
3240 return do_mx_red_op<boolMatrix> (*this, dim, mx_inline_any); |
| 458 | 3241 } |
| 3242 | |
| 3243 ComplexMatrix | |
| 3723 | 3244 ComplexMatrix::cumprod (int dim) const |
| 458 | 3245 { |
|
8736
53b4fdeacc2e
improve reduction functions
Jaroslav Hajek <highegg@gmail.com>
parents:
8650
diff
changeset
|
3246 return do_mx_cum_op<ComplexMatrix> (*this, dim, mx_inline_cumprod); |
| 458 | 3247 } |
| 3248 | |
| 3249 ComplexMatrix | |
| 3723 | 3250 ComplexMatrix::cumsum (int dim) const |
| 458 | 3251 { |
|
8736
53b4fdeacc2e
improve reduction functions
Jaroslav Hajek <highegg@gmail.com>
parents:
8650
diff
changeset
|
3252 return do_mx_cum_op<ComplexMatrix> (*this, dim, mx_inline_cumsum); |
| 458 | 3253 } |
| 3254 | |
| 3255 ComplexMatrix | |
| 3723 | 3256 ComplexMatrix::prod (int dim) const |
| 458 | 3257 { |
|
8736
53b4fdeacc2e
improve reduction functions
Jaroslav Hajek <highegg@gmail.com>
parents:
8650
diff
changeset
|
3258 return do_mx_red_op<ComplexMatrix> (*this, dim, mx_inline_prod); |
| 458 | 3259 } |
| 3260 | |
| 3261 ComplexMatrix | |
| 3723 | 3262 ComplexMatrix::sum (int dim) const |
| 458 | 3263 { |
|
8736
53b4fdeacc2e
improve reduction functions
Jaroslav Hajek <highegg@gmail.com>
parents:
8650
diff
changeset
|
3264 return do_mx_red_op<ComplexMatrix> (*this, dim, mx_inline_sum); |
| 458 | 3265 } |
| 3266 | |
| 3267 ComplexMatrix | |
| 3723 | 3268 ComplexMatrix::sumsq (int dim) const |
| 458 | 3269 { |
|
8736
53b4fdeacc2e
improve reduction functions
Jaroslav Hajek <highegg@gmail.com>
parents:
8650
diff
changeset
|
3270 return do_mx_red_op<Matrix> (*this, dim, mx_inline_sumsq); |
| 458 | 3271 } |
| 3272 | |
| 4329 | 3273 Matrix ComplexMatrix::abs (void) const |
| 3274 { | |
|
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
|
3275 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
|
3276 rows (), cols ()); |
| 4329 | 3277 } |
| 3278 | |
|
7620
36594d5bbe13
Move diag function into the octave_value class
David Bateman <dbateman@free.fr>
parents:
7544
diff
changeset
|
3279 ComplexMatrix |
| 5275 | 3280 ComplexMatrix::diag (octave_idx_type k) const |
| 458 | 3281 { |
|
7620
36594d5bbe13
Move diag function into the octave_value class
David Bateman <dbateman@free.fr>
parents:
7544
diff
changeset
|
3282 return MArray2<Complex>::diag (k); |
| 458 | 3283 } |
| 3284 | |
| 2354 | 3285 bool |
| 5275 | 3286 ComplexMatrix::row_is_real_only (octave_idx_type i) const |
| 2354 | 3287 { |
| 3288 bool retval = true; | |
| 3289 | |
| 5275 | 3290 octave_idx_type nc = columns (); |
| 3291 | |
| 3292 for (octave_idx_type j = 0; j < nc; j++) | |
| 2354 | 3293 { |
| 5315 | 3294 if (std::imag (elem (i, j)) != 0.0) |
| 2354 | 3295 { |
| 3296 retval = false; | |
| 3297 break; | |
| 3298 } | |
| 3299 } | |
| 3300 | |
| 3301 return retval; | |
| 3302 } | |
| 3303 | |
| 3304 bool | |
| 5275 | 3305 ComplexMatrix::column_is_real_only (octave_idx_type j) const |
| 2354 | 3306 { |
| 3307 bool retval = true; | |
| 3308 | |
| 5275 | 3309 octave_idx_type nr = rows (); |
| 3310 | |
| 3311 for (octave_idx_type i = 0; i < nr; i++) | |
| 2354 | 3312 { |
| 5315 | 3313 if (std::imag (elem (i, j)) != 0.0) |
| 2354 | 3314 { |
| 3315 retval = false; | |
| 3316 break; | |
| 3317 } | |
| 3318 } | |
| 3319 | |
| 3320 return retval; | |
| 3321 } | |
| 891 | 3322 |
| 458 | 3323 ComplexColumnVector |
| 3324 ComplexMatrix::row_min (void) const | |
| 3325 { | |
| 5275 | 3326 Array<octave_idx_type> dummy_idx; |
| 4587 | 3327 return row_min (dummy_idx); |
| 458 | 3328 } |
| 3329 | |
| 3330 ComplexColumnVector | |
| 5275 | 3331 ComplexMatrix::row_min (Array<octave_idx_type>& idx_arg) const |
| 458 | 3332 { |
| 3333 ComplexColumnVector result; | |
| 3334 | |
| 5275 | 3335 octave_idx_type nr = rows (); |
| 3336 octave_idx_type nc = cols (); | |
| 458 | 3337 |
| 3338 if (nr > 0 && nc > 0) | |
| 3339 { | |
| 3340 result.resize (nr); | |
| 4587 | 3341 idx_arg.resize (nr); |
| 458 | 3342 |
| 5275 | 3343 for (octave_idx_type i = 0; i < nr; i++) |
| 458 | 3344 { |
| 2354 | 3345 bool real_only = row_is_real_only (i); |
| 3346 | |
| 5275 | 3347 octave_idx_type idx_j; |
| 4469 | 3348 |
| 3349 Complex tmp_min; | |
| 3350 | |
| 3351 double abs_min = octave_NaN; | |
| 3352 | |
| 3353 for (idx_j = 0; idx_j < nc; idx_j++) | |
| 3354 { | |
| 3355 tmp_min = elem (i, idx_j); | |
| 3356 | |
| 5389 | 3357 if (! xisnan (tmp_min)) |
| 4469 | 3358 { |
| 5315 | 3359 abs_min = real_only ? std::real (tmp_min) : std::abs (tmp_min); |
| 4469 | 3360 break; |
| 3361 } | |
| 3362 } | |
| 3363 | |
| 5275 | 3364 for (octave_idx_type j = idx_j+1; j < nc; j++) |
| 4469 | 3365 { |
| 3366 Complex tmp = elem (i, j); | |
| 3367 | |
| 5389 | 3368 if (xisnan (tmp)) |
| 4469 | 3369 continue; |
| 3370 | |
| 5315 | 3371 double abs_tmp = real_only ? std::real (tmp) : std::abs (tmp); |
| 4469 | 3372 |
| 3373 if (abs_tmp < abs_min) | |
| 3374 { | |
| 3375 idx_j = j; | |
| 3376 tmp_min = tmp; | |
| 3377 abs_min = abs_tmp; | |
| 3378 } | |
| 3379 } | |
| 3380 | |
| 5389 | 3381 if (xisnan (tmp_min)) |
| 4469 | 3382 { |
| 3383 result.elem (i) = Complex_NaN_result; | |
| 4587 | 3384 idx_arg.elem (i) = 0; |
| 4469 | 3385 } |
| 891 | 3386 else |
| 3387 { | |
| 4469 | 3388 result.elem (i) = tmp_min; |
| 4587 | 3389 idx_arg.elem (i) = idx_j; |
| 891 | 3390 } |
| 458 | 3391 } |
| 3392 } | |
| 3393 | |
| 3394 return result; | |
| 3395 } | |
| 3396 | |
| 3397 ComplexColumnVector | |
| 3398 ComplexMatrix::row_max (void) const | |
| 3399 { | |
| 5275 | 3400 Array<octave_idx_type> dummy_idx; |
| 4587 | 3401 return row_max (dummy_idx); |
| 458 | 3402 } |
| 3403 | |
| 3404 ComplexColumnVector | |
| 5275 | 3405 ComplexMatrix::row_max (Array<octave_idx_type>& idx_arg) const |
| 458 | 3406 { |
| 3407 ComplexColumnVector result; | |
| 3408 | |
| 5275 | 3409 octave_idx_type nr = rows (); |
| 3410 octave_idx_type nc = cols (); | |
| 458 | 3411 |
| 3412 if (nr > 0 && nc > 0) | |
| 3413 { | |
| 3414 result.resize (nr); | |
| 4587 | 3415 idx_arg.resize (nr); |
| 458 | 3416 |
| 5275 | 3417 for (octave_idx_type i = 0; i < nr; i++) |
| 458 | 3418 { |
| 2354 | 3419 bool real_only = row_is_real_only (i); |
| 3420 | |
| 5275 | 3421 octave_idx_type idx_j; |
| 4469 | 3422 |
| 3423 Complex tmp_max; | |
| 3424 | |
| 3425 double abs_max = octave_NaN; | |
| 3426 | |
| 3427 for (idx_j = 0; idx_j < nc; idx_j++) | |
| 3428 { | |
| 3429 tmp_max = elem (i, idx_j); | |
| 3430 | |
| 5389 | 3431 if (! xisnan (tmp_max)) |
| 4469 | 3432 { |
| 5315 | 3433 abs_max = real_only ? std::real (tmp_max) : std::abs (tmp_max); |
| 4469 | 3434 break; |
| 3435 } | |
| 3436 } | |
| 3437 | |
| 5275 | 3438 for (octave_idx_type j = idx_j+1; j < nc; j++) |
| 4469 | 3439 { |
| 3440 Complex tmp = elem (i, j); | |
| 3441 | |
| 5389 | 3442 if (xisnan (tmp)) |
| 4469 | 3443 continue; |
| 3444 | |
| 5315 | 3445 double abs_tmp = real_only ? std::real (tmp) : std::abs (tmp); |
| 4469 | 3446 |
| 3447 if (abs_tmp > abs_max) | |
| 3448 { | |
| 3449 idx_j = j; | |
| 3450 tmp_max = tmp; | |
| 3451 abs_max = abs_tmp; | |
| 3452 } | |
| 3453 } | |
| 3454 | |
| 5389 | 3455 if (xisnan (tmp_max)) |
| 4469 | 3456 { |
| 3457 result.elem (i) = Complex_NaN_result; | |
| 4587 | 3458 idx_arg.elem (i) = 0; |
| 4469 | 3459 } |
| 891 | 3460 else |
| 3461 { | |
| 4469 | 3462 result.elem (i) = tmp_max; |
| 4587 | 3463 idx_arg.elem (i) = idx_j; |
| 891 | 3464 } |
| 458 | 3465 } |
| 3466 } | |
| 3467 | |
| 3468 return result; | |
| 3469 } | |
| 3470 | |
| 3471 ComplexRowVector | |
| 3472 ComplexMatrix::column_min (void) const | |
| 3473 { | |
| 5275 | 3474 Array<octave_idx_type> dummy_idx; |
| 4587 | 3475 return column_min (dummy_idx); |
| 458 | 3476 } |
| 3477 | |
| 3478 ComplexRowVector | |
| 5275 | 3479 ComplexMatrix::column_min (Array<octave_idx_type>& idx_arg) const |
| 458 | 3480 { |
| 3481 ComplexRowVector result; | |
| 3482 | |
| 5275 | 3483 octave_idx_type nr = rows (); |
| 3484 octave_idx_type nc = cols (); | |
| 458 | 3485 |
| 3486 if (nr > 0 && nc > 0) | |
| 3487 { | |
| 3488 result.resize (nc); | |
| 4587 | 3489 idx_arg.resize (nc); |
| 458 | 3490 |
| 5275 | 3491 for (octave_idx_type j = 0; j < nc; j++) |
| 458 | 3492 { |
| 2354 | 3493 bool real_only = column_is_real_only (j); |
| 3494 | |
| 5275 | 3495 octave_idx_type idx_i; |
| 4469 | 3496 |
| 3497 Complex tmp_min; | |
| 3498 | |
| 3499 double abs_min = octave_NaN; | |
| 3500 | |
| 3501 for (idx_i = 0; idx_i < nr; idx_i++) | |
| 3502 { | |
| 3503 tmp_min = elem (idx_i, j); | |
| 3504 | |
| 5389 | 3505 if (! xisnan (tmp_min)) |
| 4469 | 3506 { |
| 5315 | 3507 abs_min = real_only ? std::real (tmp_min) : std::abs (tmp_min); |
| 4469 | 3508 break; |
| 3509 } | |
| 3510 } | |
| 3511 | |
| 5275 | 3512 for (octave_idx_type i = idx_i+1; i < nr; i++) |
| 4469 | 3513 { |
| 3514 Complex tmp = elem (i, j); | |
| 3515 | |
| 5389 | 3516 if (xisnan (tmp)) |
| 4469 | 3517 continue; |
| 3518 | |
| 5315 | 3519 double abs_tmp = real_only ? std::real (tmp) : std::abs (tmp); |
| 4469 | 3520 |
| 3521 if (abs_tmp < abs_min) | |
| 3522 { | |
| 3523 idx_i = i; | |
| 3524 tmp_min = tmp; | |
| 3525 abs_min = abs_tmp; | |
| 3526 } | |
| 3527 } | |
| 3528 | |
| 5389 | 3529 if (xisnan (tmp_min)) |
| 4469 | 3530 { |
| 3531 result.elem (j) = Complex_NaN_result; | |
| 4587 | 3532 idx_arg.elem (j) = 0; |
| 4469 | 3533 } |
| 891 | 3534 else |
| 3535 { | |
| 4469 | 3536 result.elem (j) = tmp_min; |
| 4587 | 3537 idx_arg.elem (j) = idx_i; |
| 891 | 3538 } |
| 458 | 3539 } |
| 3540 } | |
| 3541 | |
| 3542 return result; | |
| 3543 } | |
| 3544 | |
| 3545 ComplexRowVector | |
| 3546 ComplexMatrix::column_max (void) const | |
| 3547 { | |
| 5275 | 3548 Array<octave_idx_type> dummy_idx; |
| 4587 | 3549 return column_max (dummy_idx); |
| 458 | 3550 } |
| 3551 | |
| 3552 ComplexRowVector | |
| 5275 | 3553 ComplexMatrix::column_max (Array<octave_idx_type>& idx_arg) const |
| 458 | 3554 { |
| 3555 ComplexRowVector result; | |
| 3556 | |
| 5275 | 3557 octave_idx_type nr = rows (); |
| 3558 octave_idx_type nc = cols (); | |
| 458 | 3559 |
| 3560 if (nr > 0 && nc > 0) | |
| 3561 { | |
| 3562 result.resize (nc); | |
| 4587 | 3563 idx_arg.resize (nc); |
| 458 | 3564 |
| 5275 | 3565 for (octave_idx_type j = 0; j < nc; j++) |
| 458 | 3566 { |
| 2354 | 3567 bool real_only = column_is_real_only (j); |
| 3568 | |
| 5275 | 3569 octave_idx_type idx_i; |
| 4469 | 3570 |
| 3571 Complex tmp_max; | |
| 3572 | |
| 3573 double abs_max = octave_NaN; | |
| 3574 | |
| 3575 for (idx_i = 0; idx_i < nr; idx_i++) | |
| 3576 { | |
| 3577 tmp_max = elem (idx_i, j); | |
| 3578 | |
| 5389 | 3579 if (! xisnan (tmp_max)) |
| 4469 | 3580 { |
| 5315 | 3581 abs_max = real_only ? std::real (tmp_max) : std::abs (tmp_max); |
| 4469 | 3582 break; |
| 3583 } | |
| 3584 } | |
| 3585 | |
| 5275 | 3586 for (octave_idx_type i = idx_i+1; i < nr; i++) |
| 4469 | 3587 { |
| 3588 Complex tmp = elem (i, j); | |
| 3589 | |
| 5389 | 3590 if (xisnan (tmp)) |
| 4469 | 3591 continue; |
| 3592 | |
| 5315 | 3593 double abs_tmp = real_only ? std::real (tmp) : std::abs (tmp); |
| 4469 | 3594 |
| 3595 if (abs_tmp > abs_max) | |
| 3596 { | |
| 3597 idx_i = i; | |
| 3598 tmp_max = tmp; | |
| 3599 abs_max = abs_tmp; | |
| 3600 } | |
| 3601 } | |
| 3602 | |
| 5389 | 3603 if (xisnan (tmp_max)) |
| 4469 | 3604 { |
| 3605 result.elem (j) = Complex_NaN_result; | |
| 4587 | 3606 idx_arg.elem (j) = 0; |
| 4469 | 3607 } |
| 891 | 3608 else |
| 3609 { | |
| 4469 | 3610 result.elem (j) = tmp_max; |
| 4587 | 3611 idx_arg.elem (j) = idx_i; |
| 891 | 3612 } |
| 458 | 3613 } |
| 3614 } | |
| 3615 | |
| 3616 return result; | |
| 3617 } | |
| 3618 | |
| 3619 // i/o | |
| 3620 | |
| 3504 | 3621 std::ostream& |
| 3622 operator << (std::ostream& os, const ComplexMatrix& a) | |
| 458 | 3623 { |
| 5275 | 3624 for (octave_idx_type i = 0; i < a.rows (); i++) |
| 458 | 3625 { |
| 5275 | 3626 for (octave_idx_type j = 0; j < a.cols (); j++) |
| 4130 | 3627 { |
| 3628 os << " "; | |
| 3629 octave_write_complex (os, a.elem (i, j)); | |
| 3630 } | |
| 458 | 3631 os << "\n"; |
| 3632 } | |
| 3633 return os; | |
| 3634 } | |
| 3635 | |
| 3504 | 3636 std::istream& |
| 3637 operator >> (std::istream& is, ComplexMatrix& a) | |
| 458 | 3638 { |
| 5275 | 3639 octave_idx_type nr = a.rows (); |
| 3640 octave_idx_type nc = a.cols (); | |
| 458 | 3641 |
| 3642 if (nr < 1 || nc < 1) | |
| 3504 | 3643 is.clear (std::ios::badbit); |
| 458 | 3644 else |
| 3645 { | |
| 3646 Complex tmp; | |
| 5275 | 3647 for (octave_idx_type i = 0; i < nr; i++) |
| 3648 for (octave_idx_type j = 0; j < nc; j++) | |
| 458 | 3649 { |
| 4130 | 3650 tmp = octave_read_complex (is); |
| 458 | 3651 if (is) |
| 3652 a.elem (i, j) = tmp; | |
| 3653 else | |
| 2993 | 3654 goto done; |
| 458 | 3655 } |
| 3656 } | |
| 3657 | |
| 2993 | 3658 done: |
| 3659 | |
| 458 | 3660 return is; |
| 3661 } | |
| 3662 | |
| 1819 | 3663 ComplexMatrix |
| 3664 Givens (const Complex& x, const Complex& y) | |
| 3665 { | |
| 3666 double cc; | |
| 3667 Complex cs, temp_r; | |
| 3668 | |
| 3887 | 3669 F77_FUNC (zlartg, ZLARTG) (x, y, cc, cs, temp_r); |
| 1819 | 3670 |
| 3671 ComplexMatrix g (2, 2); | |
| 3672 | |
| 3673 g.elem (0, 0) = cc; | |
| 3674 g.elem (1, 1) = cc; | |
| 3675 g.elem (0, 1) = cs; | |
| 3676 g.elem (1, 0) = -conj (cs); | |
| 3677 | |
| 3678 return g; | |
| 3679 } | |
| 3680 | |
| 3681 ComplexMatrix | |
| 3682 Sylvester (const ComplexMatrix& a, const ComplexMatrix& b, | |
| 3683 const ComplexMatrix& c) | |
| 3684 { | |
| 3685 ComplexMatrix retval; | |
| 3686 | |
| 5775 | 3687 // FIXME -- need to check that a, b, and c are all the same |
| 1819 | 3688 // size. |
| 3689 | |
| 3690 // Compute Schur decompositions | |
| 3691 | |
| 3692 ComplexSCHUR as (a, "U"); | |
| 3693 ComplexSCHUR bs (b, "U"); | |
| 3694 | |
| 3695 // Transform c to new coordinates. | |
| 3696 | |
| 3697 ComplexMatrix ua = as.unitary_matrix (); | |
| 3698 ComplexMatrix sch_a = as.schur_matrix (); | |
| 3699 | |
| 3700 ComplexMatrix ub = bs.unitary_matrix (); | |
| 3701 ComplexMatrix sch_b = bs.schur_matrix (); | |
| 3702 | |
| 3703 ComplexMatrix cx = ua.hermitian () * c * ub; | |
| 3704 | |
| 3705 // Solve the sylvester equation, back-transform, and return the | |
| 3706 // solution. | |
| 3707 | |
| 5275 | 3708 octave_idx_type a_nr = a.rows (); |
| 3709 octave_idx_type b_nr = b.rows (); | |
| 1819 | 3710 |
| 3711 double scale; | |
| 5275 | 3712 octave_idx_type info; |
| 1950 | 3713 |
| 3714 Complex *pa = sch_a.fortran_vec (); | |
| 3715 Complex *pb = sch_b.fortran_vec (); | |
| 3716 Complex *px = cx.fortran_vec (); | |
| 1819 | 3717 |
| 4552 | 3718 F77_XFCN (ztrsyl, ZTRSYL, (F77_CONST_CHAR_ARG2 ("N", 1), |
| 3719 F77_CONST_CHAR_ARG2 ("N", 1), | |
| 3720 1, a_nr, b_nr, pa, a_nr, pb, | |
| 3721 b_nr, px, a_nr, scale, info | |
| 3722 F77_CHAR_ARG_LEN (1) | |
| 3723 F77_CHAR_ARG_LEN (1))); | |
| 1950 | 3724 |
|
7482
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
3725 // FIXME -- check info? |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
3726 |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
3727 retval = -ua * cx * ub.hermitian (); |
| 1819 | 3728 |
| 3729 return retval; | |
| 3730 } | |
| 3731 | |
| 2828 | 3732 ComplexMatrix |
| 3733 operator * (const ComplexMatrix& m, const Matrix& a) | |
| 3734 { | |
| 3735 ComplexMatrix tmp (a); | |
| 3736 return m * tmp; | |
| 3737 } | |
| 3738 | |
| 3739 ComplexMatrix | |
| 3740 operator * (const Matrix& m, const ComplexMatrix& a) | |
| 3741 { | |
| 3742 ComplexMatrix tmp (m); | |
| 3743 return tmp * a; | |
| 3744 } | |
| 3745 | |
| 6162 | 3746 /* Simple Dot Product, Matrix-Vector and Matrix-Matrix Unit tests |
| 3747 %!assert([1+i 2+i 3+i] * [ 4+i ; 5+i ; 6+i], 29+21i, 1e-14) | |
| 3748 %!assert([1+i 2+i ; 3+i 4+i ] * [5+i ; 6+i], [15 + 14i ; 37 + 18i], 1e-14) | |
| 3749 %!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) | |
| 3750 */ | |
| 3751 | |
| 3752 /* Test some simple identities | |
| 3753 %!shared M, cv, rv | |
| 3754 %! M = randn(10,10)+i*rand(10,10); | |
| 3755 %! cv = randn(10,1)+i*rand(10,1); | |
| 3756 %! rv = randn(1,10)+i*rand(1,10); | |
| 3757 %!assert([M*cv,M*cv],M*[cv,cv],1e-14) | |
| 3758 %!assert([rv*M;rv*M],[rv;rv]*M,1e-14) | |
| 3759 %!assert(2*rv*cv,[rv,rv]*[cv;cv],1e-14) | |
| 3760 */ | |
| 3761 | |
|
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
|
3762 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
|
3763 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
|
3764 { |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3765 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
|
3766 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
|
3767 } |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3768 |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3769 // 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
|
3770 |
| 2828 | 3771 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
|
3772 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
|
3773 bool transb, bool conjb, const ComplexMatrix& b) |
| 2828 | 3774 { |
| 3775 ComplexMatrix retval; | |
| 3776 | |
|
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
|
3777 // 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
|
3778 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
|
3779 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
|
3780 |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3781 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
|
3782 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
|
3783 |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3784 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
|
3785 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
|
3786 |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3787 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
|
3788 gripe_nonconformant ("operator *", a_nr, a_nc, b_nr, b_nc); |
| 2828 | 3789 else |
| 3790 { | |
|
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
|
3791 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
|
3792 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
|
3793 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
|
3794 { |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3795 octave_idx_type lda = a.rows (); |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3796 |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3797 retval.resize (a_nr, b_nc); |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3798 Complex *c = retval.fortran_vec (); |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3799 |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3800 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
|
3801 if (conja || conjb) |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3802 { |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3803 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
|
3804 F77_CONST_CHAR_ARG2 (ctransa, 1), |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3805 a_nr, a_nc, 1.0, |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3806 a.data (), lda, 0.0, c, a_nr |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3807 F77_CHAR_ARG_LEN (1) |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3808 F77_CHAR_ARG_LEN (1))); |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3809 for (int j = 0; j < a_nr; j++) |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3810 for (int i = 0; i < j; i++) |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3811 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
|
3812 } |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3813 else |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3814 { |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3815 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
|
3816 F77_CONST_CHAR_ARG2 (ctransa, 1), |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3817 a_nr, a_nc, 1.0, |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3818 a.data (), lda, 0.0, c, a_nr |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3819 F77_CHAR_ARG_LEN (1) |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3820 F77_CHAR_ARG_LEN (1))); |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3821 for (int j = 0; j < a_nr; j++) |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3822 for (int i = 0; i < j; i++) |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3823 retval.xelem (j,i) = retval.xelem (i,j); |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3824 |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3825 } |
|
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 } |
| 2828 | 3828 else |
| 3829 { | |
|
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
|
3830 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
|
3831 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
|
3832 |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3833 retval.resize (a_nr, b_nc); |
| 2828 | 3834 Complex *c = retval.fortran_vec (); |
| 3835 | |
|
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
|
3836 if (b_nc == 1 && a_nr == 1) |
| 5983 | 3837 { |
|
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
|
3838 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
|
3839 { |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3840 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
|
3841 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
|
3842 } |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3843 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
|
3844 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
|
3845 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
|
3846 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
|
3847 } |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3848 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
|
3849 { |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3850 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
|
3851 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
|
3852 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
|
3853 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
|
3854 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
|
3855 } |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3856 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
|
3857 { |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3858 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
|
3859 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
|
3860 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
|
3861 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
|
3862 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
|
3863 } |
| 5983 | 3864 else |
| 6390 | 3865 { |
|
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
|
3866 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
|
3867 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
|
3868 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
|
3869 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
|
3870 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
|
3871 lda, b.data (), ldb, 0.0, c, a_nr |
| 6390 | 3872 F77_CHAR_ARG_LEN (1) |
| 3873 F77_CHAR_ARG_LEN (1))); | |
| 3874 } | |
| 2828 | 3875 } |
| 3876 } | |
| 3877 | |
| 3878 return retval; | |
| 3879 } | |
| 3880 | |
|
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
|
3881 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
|
3882 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
|
3883 { |
|
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 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
|
3885 } |
|
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 |
| 5775 | 3887 // FIXME -- it would be nice to share code among the min/max |
| 4309 | 3888 // functions below. |
| 3889 | |
| 3890 #define EMPTY_RETURN_CHECK(T) \ | |
| 3891 if (nr == 0 || nc == 0) \ | |
| 3892 return T (nr, nc); | |
| 3893 | |
| 3894 ComplexMatrix | |
| 3895 min (const Complex& c, const ComplexMatrix& m) | |
| 3896 { | |
| 5275 | 3897 octave_idx_type nr = m.rows (); |
| 3898 octave_idx_type nc = m.columns (); | |
| 4309 | 3899 |
| 3900 EMPTY_RETURN_CHECK (ComplexMatrix); | |
| 3901 | |
| 3902 ComplexMatrix result (nr, nc); | |
| 3903 | |
| 5275 | 3904 for (octave_idx_type j = 0; j < nc; j++) |
| 3905 for (octave_idx_type i = 0; i < nr; i++) | |
| 4309 | 3906 { |
| 3907 OCTAVE_QUIT; | |
| 3908 result (i, j) = xmin (c, m (i, j)); | |
| 3909 } | |
| 3910 | |
| 3911 return result; | |
| 3912 } | |
| 3913 | |
| 3914 ComplexMatrix | |
| 3915 min (const ComplexMatrix& m, const Complex& c) | |
| 3916 { | |
| 5275 | 3917 octave_idx_type nr = m.rows (); |
| 3918 octave_idx_type nc = m.columns (); | |
| 4309 | 3919 |
| 3920 EMPTY_RETURN_CHECK (ComplexMatrix); | |
| 3921 | |
| 3922 ComplexMatrix result (nr, nc); | |
| 3923 | |
| 5275 | 3924 for (octave_idx_type j = 0; j < nc; j++) |
| 3925 for (octave_idx_type i = 0; i < nr; i++) | |
| 4309 | 3926 { |
| 3927 OCTAVE_QUIT; | |
| 3928 result (i, j) = xmin (m (i, j), c); | |
| 3929 } | |
| 3930 | |
| 3931 return result; | |
| 3932 } | |
| 3933 | |
| 3934 ComplexMatrix | |
| 3935 min (const ComplexMatrix& a, const ComplexMatrix& b) | |
| 3936 { | |
| 5275 | 3937 octave_idx_type nr = a.rows (); |
| 3938 octave_idx_type nc = a.columns (); | |
| 4309 | 3939 |
| 3940 if (nr != b.rows () || nc != b.columns ()) | |
| 3941 { | |
| 3942 (*current_liboctave_error_handler) | |
| 3943 ("two-arg min expecting args of same size"); | |
| 3944 return ComplexMatrix (); | |
| 3945 } | |
| 3946 | |
| 3947 EMPTY_RETURN_CHECK (ComplexMatrix); | |
| 3948 | |
| 3949 ComplexMatrix result (nr, nc); | |
| 3950 | |
| 5275 | 3951 for (octave_idx_type j = 0; j < nc; j++) |
| 4309 | 3952 { |
| 3953 int columns_are_real_only = 1; | |
| 5275 | 3954 for (octave_idx_type i = 0; i < nr; i++) |
| 4309 | 3955 { |
| 3956 OCTAVE_QUIT; | |
| 5315 | 3957 if (std::imag (a (i, j)) != 0.0 || std::imag (b (i, j)) != 0.0) |
| 4309 | 3958 { |
| 3959 columns_are_real_only = 0; | |
| 3960 break; | |
| 3961 } | |
| 3962 } | |
| 3963 | |
| 3964 if (columns_are_real_only) | |
| 3965 { | |
| 5275 | 3966 for (octave_idx_type i = 0; i < nr; i++) |
| 5315 | 3967 result (i, j) = xmin (std::real (a (i, j)), std::real (b (i, j))); |
| 4309 | 3968 } |
| 3969 else | |
| 3970 { | |
| 5275 | 3971 for (octave_idx_type i = 0; i < nr; i++) |
| 4309 | 3972 { |
| 3973 OCTAVE_QUIT; | |
| 3974 result (i, j) = xmin (a (i, j), b (i, j)); | |
| 3975 } | |
| 3976 } | |
| 3977 } | |
| 3978 | |
| 3979 return result; | |
| 3980 } | |
| 3981 | |
| 3982 ComplexMatrix | |
| 3983 max (const Complex& c, const ComplexMatrix& m) | |
| 3984 { | |
| 5275 | 3985 octave_idx_type nr = m.rows (); |
| 3986 octave_idx_type nc = m.columns (); | |
| 4309 | 3987 |
| 3988 EMPTY_RETURN_CHECK (ComplexMatrix); | |
| 3989 | |
| 3990 ComplexMatrix result (nr, nc); | |
| 3991 | |
| 5275 | 3992 for (octave_idx_type j = 0; j < nc; j++) |
| 3993 for (octave_idx_type i = 0; i < nr; i++) | |
| 4309 | 3994 { |
| 3995 OCTAVE_QUIT; | |
| 3996 result (i, j) = xmax (c, m (i, j)); | |
| 3997 } | |
| 3998 | |
| 3999 return result; | |
| 4000 } | |
| 4001 | |
| 4002 ComplexMatrix | |
| 4003 max (const ComplexMatrix& m, const Complex& c) | |
| 4004 { | |
| 5275 | 4005 octave_idx_type nr = m.rows (); |
| 4006 octave_idx_type nc = m.columns (); | |
| 4309 | 4007 |
| 4008 EMPTY_RETURN_CHECK (ComplexMatrix); | |
| 4009 | |
| 4010 ComplexMatrix result (nr, nc); | |
| 4011 | |
| 5275 | 4012 for (octave_idx_type j = 0; j < nc; j++) |
| 4013 for (octave_idx_type i = 0; i < nr; i++) | |
| 4309 | 4014 { |
| 4015 OCTAVE_QUIT; | |
| 4016 result (i, j) = xmax (m (i, j), c); | |
| 4017 } | |
| 4018 | |
| 4019 return result; | |
| 4020 } | |
| 4021 | |
| 4022 ComplexMatrix | |
| 4023 max (const ComplexMatrix& a, const ComplexMatrix& b) | |
| 4024 { | |
| 5275 | 4025 octave_idx_type nr = a.rows (); |
| 4026 octave_idx_type nc = a.columns (); | |
| 4309 | 4027 |
| 4028 if (nr != b.rows () || nc != b.columns ()) | |
| 4029 { | |
| 4030 (*current_liboctave_error_handler) | |
| 4031 ("two-arg max expecting args of same size"); | |
| 4032 return ComplexMatrix (); | |
| 4033 } | |
| 4034 | |
| 4035 EMPTY_RETURN_CHECK (ComplexMatrix); | |
| 4036 | |
| 4037 ComplexMatrix result (nr, nc); | |
| 4038 | |
| 5275 | 4039 for (octave_idx_type j = 0; j < nc; j++) |
| 4309 | 4040 { |
| 4041 int columns_are_real_only = 1; | |
| 5275 | 4042 for (octave_idx_type i = 0; i < nr; i++) |
| 4309 | 4043 { |
| 4044 OCTAVE_QUIT; | |
| 5315 | 4045 if (std::imag (a (i, j)) != 0.0 || std::imag (b (i, j)) != 0.0) |
| 4309 | 4046 { |
| 4047 columns_are_real_only = 0; | |
| 4048 break; | |
| 4049 } | |
| 4050 } | |
| 4051 | |
| 4052 if (columns_are_real_only) | |
| 4053 { | |
| 5275 | 4054 for (octave_idx_type i = 0; i < nr; i++) |
| 4309 | 4055 { |
| 4056 OCTAVE_QUIT; | |
| 5315 | 4057 result (i, j) = xmax (std::real (a (i, j)), std::real (b (i, j))); |
| 4309 | 4058 } |
| 4059 } | |
| 4060 else | |
| 4061 { | |
| 5275 | 4062 for (octave_idx_type i = 0; i < nr; i++) |
| 4309 | 4063 { |
| 4064 OCTAVE_QUIT; | |
| 4065 result (i, j) = xmax (a (i, j), b (i, j)); | |
| 4066 } | |
| 4067 } | |
| 4068 } | |
| 4069 | |
| 4070 return result; | |
| 4071 } | |
| 4072 | |
| 5315 | 4073 MS_CMP_OPS(ComplexMatrix, std::real, Complex, std::real) |
| 3504 | 4074 MS_BOOL_OPS(ComplexMatrix, Complex, 0.0) |
| 2870 | 4075 |
| 5315 | 4076 SM_CMP_OPS(Complex, std::real, ComplexMatrix, std::real) |
| 3504 | 4077 SM_BOOL_OPS(Complex, ComplexMatrix, 0.0) |
| 2870 | 4078 |
| 5315 | 4079 MM_CMP_OPS(ComplexMatrix, std::real, ComplexMatrix, std::real) |
| 3504 | 4080 MM_BOOL_OPS(ComplexMatrix, ComplexMatrix, 0.0) |
| 2870 | 4081 |
| 458 | 4082 /* |
| 4083 ;;; Local Variables: *** | |
| 4084 ;;; mode: C++ *** | |
| 4085 ;;; End: *** | |
| 4086 */ |