Mercurial > octave-nkf
annotate liboctave/CMatrix.cc @ 8956:d91fa4b20bbb
ensure nonnegative char -> real conversion
| author | Jaroslav Hajek <highegg@gmail.com> |
|---|---|
| date | Wed, 11 Mar 2009 10:31:08 +0100 |
| parents | eb63fbe60fab |
| children | dc07bc4157b8 |
| 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 | |
| 8920 | 6 Copyright (C) 2008, 2009 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++) | |
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315 elem (i, j) = static_cast<unsigned char> (a.elem (i, j)); |
| 1574 | 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, |
| 8806 | 1556 octave_idx_type& info, double& rcon, |
| 1557 int calc_cond) const | |
|
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1558 { |
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|
1559 ComplexDET retval (1.0); |
| 458 | 1560 |
| 5275 | 1561 octave_idx_type nr = rows (); |
| 1562 octave_idx_type nc = cols (); | |
| 458 | 1563 |
|
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1564 if (nr != nc) |
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|
1565 (*current_liboctave_error_handler) ("matrix must be square"); |
| 458 | 1566 else |
| 1567 { | |
| 8806 | 1568 volatile int typ = mattype.type (); |
|
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|
1569 |
|
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1570 if (typ == MatrixType::Unknown) |
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1571 typ = mattype.type (*this); |
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|
1572 |
|
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1573 if (typ == MatrixType::Lower || typ == MatrixType::Upper) |
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|
1574 { |
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1575 for (octave_idx_type i = 0; i < nc; i++) |
|
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1576 retval *= elem (i,i); |
|
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1577 } |
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1578 else if (typ == MatrixType::Hermitian) |
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|
1579 { |
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1580 ComplexMatrix atmp = *this; |
|
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1581 Complex *tmp_data = atmp.fortran_vec (); |
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1582 |
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1583 info = 0; |
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1584 double anorm = 0; |
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1585 if (calc_cond) anorm = xnorm (*this, 1); |
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1586 |
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1587 |
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|
1588 char job = 'L'; |
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1589 F77_XFCN (zpotrf, ZPOTRF, (F77_CONST_CHAR_ARG2 (&job, 1), nr, |
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1590 tmp_data, nr, info |
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1591 F77_CHAR_ARG_LEN (1))); |
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1592 |
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1593 if (info != 0) |
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1594 { |
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|
1595 rcon = 0.0; |
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1596 mattype.mark_as_unsymmetric (); |
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1597 typ = MatrixType::Full; |
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1598 } |
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1599 else |
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|
1600 { |
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|
1601 Array<Complex> z (2 * nc); |
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1602 Complex *pz = z.fortran_vec (); |
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1603 Array<double> rz (nc); |
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1604 double *prz = rz.fortran_vec (); |
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1605 |
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1606 F77_XFCN (zpocon, ZPOCON, (F77_CONST_CHAR_ARG2 (&job, 1), |
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1607 nr, tmp_data, nr, anorm, |
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1608 rcon, pz, prz, info |
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1609 F77_CHAR_ARG_LEN (1))); |
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1610 |
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1611 if (info != 0) |
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|
1612 rcon = 0.0; |
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1613 |
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1614 for (octave_idx_type i = 0; i < nc; i++) |
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1615 retval *= atmp (i,i); |
|
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1616 |
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1617 retval = retval.square (); |
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1618 } |
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1619 } |
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1620 else if (typ != MatrixType::Full) |
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1621 (*current_liboctave_error_handler) ("det: invalid dense matrix type"); |
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1622 |
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1623 if (typ == MatrixType::Full) |
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1624 { |
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1625 Array<octave_idx_type> ipvt (nr); |
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1626 octave_idx_type *pipvt = ipvt.fortran_vec (); |
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1627 |
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1628 ComplexMatrix atmp = *this; |
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1629 Complex *tmp_data = atmp.fortran_vec (); |
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1630 |
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1631 info = 0; |
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1632 |
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1633 // Calculate the norm of the matrix, for later use. |
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1634 double anorm = 0; |
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1635 if (calc_cond) anorm = xnorm (*this, 1); |
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1636 |
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1637 F77_XFCN (zgetrf, ZGETRF, (nr, nr, tmp_data, nr, pipvt, info)); |
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1638 |
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1639 // Throw-away extra info LAPACK gives so as to not change output. |
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1640 rcon = 0.0; |
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1641 if (info != 0) |
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1642 { |
|
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1643 info = -1; |
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1644 retval = ComplexDET (); |
|
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1645 } |
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1646 else |
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1647 { |
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1648 if (calc_cond) |
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1649 { |
|
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1650 // Now calc the condition number for non-singular matrix. |
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1651 char job = '1'; |
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1652 Array<Complex> z (2 * nc); |
|
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1653 Complex *pz = z.fortran_vec (); |
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1654 Array<double> rz (2 * nc); |
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1655 double *prz = rz.fortran_vec (); |
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1656 |
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1657 F77_XFCN (zgecon, ZGECON, (F77_CONST_CHAR_ARG2 (&job, 1), |
|
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1658 nc, tmp_data, nr, anorm, |
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1659 rcon, pz, prz, info |
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1660 F77_CHAR_ARG_LEN (1))); |
| 8335 | 1661 } |
|
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1662 |
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1663 if (info != 0) |
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1664 { |
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1665 info = -1; |
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1666 retval = ComplexDET (); |
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1667 } |
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1668 else |
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1669 { |
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1670 for (octave_idx_type i = 0; i < nc; i++) |
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1671 { |
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1672 Complex c = atmp(i,i); |
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1673 retval *= (ipvt(i) != (i+1)) ? -c : c; |
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1674 } |
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1675 } |
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1676 } |
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1677 } |
| 458 | 1678 } |
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1679 |
| 458 | 1680 return retval; |
| 1681 } | |
| 1682 | |
| 7788 | 1683 double |
| 1684 ComplexMatrix::rcond (void) const | |
| 1685 { | |
| 1686 MatrixType mattype (*this); | |
| 1687 return rcond (mattype); | |
| 1688 } | |
| 1689 | |
| 1690 double | |
| 1691 ComplexMatrix::rcond (MatrixType &mattype) const | |
| 1692 { | |
| 1693 double rcon; | |
| 1694 octave_idx_type nr = rows (); | |
| 1695 octave_idx_type nc = cols (); | |
| 1696 | |
| 1697 if (nr != nc) | |
| 1698 (*current_liboctave_error_handler) ("matrix must be square"); | |
| 1699 else if (nr == 0 || nc == 0) | |
| 1700 rcon = octave_Inf; | |
| 1701 else | |
| 1702 { | |
| 1703 int typ = mattype.type (); | |
| 1704 | |
| 1705 if (typ == MatrixType::Unknown) | |
| 1706 typ = mattype.type (*this); | |
| 1707 | |
| 1708 // Only calculate the condition number for LU/Cholesky | |
| 1709 if (typ == MatrixType::Upper) | |
| 1710 { | |
| 1711 const Complex *tmp_data = fortran_vec (); | |
| 1712 octave_idx_type info = 0; | |
| 1713 char norm = '1'; | |
| 1714 char uplo = 'U'; | |
| 1715 char dia = 'N'; | |
| 1716 | |
| 1717 Array<Complex> z (2 * nc); | |
| 1718 Complex *pz = z.fortran_vec (); | |
| 1719 Array<double> rz (nc); | |
| 1720 double *prz = rz.fortran_vec (); | |
| 1721 | |
| 1722 F77_XFCN (ztrcon, ZTRCON, (F77_CONST_CHAR_ARG2 (&norm, 1), | |
| 1723 F77_CONST_CHAR_ARG2 (&uplo, 1), | |
| 1724 F77_CONST_CHAR_ARG2 (&dia, 1), | |
| 1725 nr, tmp_data, nr, rcon, | |
| 1726 pz, prz, info | |
| 1727 F77_CHAR_ARG_LEN (1) | |
| 1728 F77_CHAR_ARG_LEN (1) | |
| 1729 F77_CHAR_ARG_LEN (1))); | |
| 1730 | |
| 1731 if (info != 0) | |
| 1732 rcon = 0; | |
| 1733 } | |
| 1734 else if (typ == MatrixType::Permuted_Upper) | |
| 1735 (*current_liboctave_error_handler) | |
| 1736 ("permuted triangular matrix not implemented"); | |
| 1737 else if (typ == MatrixType::Lower) | |
| 1738 { | |
| 1739 const Complex *tmp_data = fortran_vec (); | |
| 1740 octave_idx_type info = 0; | |
| 1741 char norm = '1'; | |
| 1742 char uplo = 'L'; | |
| 1743 char dia = 'N'; | |
| 1744 | |
| 1745 Array<Complex> z (2 * nc); | |
| 1746 Complex *pz = z.fortran_vec (); | |
| 1747 Array<double> rz (nc); | |
| 1748 double *prz = rz.fortran_vec (); | |
| 1749 | |
| 1750 F77_XFCN (ztrcon, ZTRCON, (F77_CONST_CHAR_ARG2 (&norm, 1), | |
| 1751 F77_CONST_CHAR_ARG2 (&uplo, 1), | |
| 1752 F77_CONST_CHAR_ARG2 (&dia, 1), | |
| 1753 nr, tmp_data, nr, rcon, | |
| 1754 pz, prz, info | |
| 1755 F77_CHAR_ARG_LEN (1) | |
| 1756 F77_CHAR_ARG_LEN (1) | |
| 1757 F77_CHAR_ARG_LEN (1))); | |
| 1758 | |
| 1759 if (info != 0) | |
| 1760 rcon = 0.0; | |
| 1761 } | |
| 1762 else if (typ == MatrixType::Permuted_Lower) | |
| 1763 (*current_liboctave_error_handler) | |
| 1764 ("permuted triangular matrix not implemented"); | |
| 1765 else if (typ == MatrixType::Full || typ == MatrixType::Hermitian) | |
| 1766 { | |
| 1767 double anorm = -1.0; | |
| 1768 ComplexMatrix atmp = *this; | |
| 1769 Complex *tmp_data = atmp.fortran_vec (); | |
| 1770 | |
| 1771 if (typ == MatrixType::Hermitian) | |
| 1772 { | |
| 1773 octave_idx_type info = 0; | |
| 1774 char job = 'L'; | |
| 1775 anorm = atmp.abs().sum(). | |
| 1776 row(static_cast<octave_idx_type>(0)).max(); | |
| 1777 | |
| 1778 F77_XFCN (zpotrf, ZPOTRF, (F77_CONST_CHAR_ARG2 (&job, 1), nr, | |
| 1779 tmp_data, nr, info | |
| 1780 F77_CHAR_ARG_LEN (1))); | |
| 1781 | |
| 1782 if (info != 0) | |
| 1783 { | |
| 1784 rcon = 0.0; | |
| 1785 | |
| 1786 mattype.mark_as_unsymmetric (); | |
| 1787 typ = MatrixType::Full; | |
| 1788 } | |
| 1789 else | |
| 1790 { | |
| 1791 Array<Complex> z (2 * nc); | |
| 1792 Complex *pz = z.fortran_vec (); | |
| 1793 Array<double> rz (nc); | |
| 1794 double *prz = rz.fortran_vec (); | |
| 1795 | |
| 1796 F77_XFCN (zpocon, ZPOCON, (F77_CONST_CHAR_ARG2 (&job, 1), | |
| 1797 nr, tmp_data, nr, anorm, | |
| 1798 rcon, pz, prz, info | |
| 1799 F77_CHAR_ARG_LEN (1))); | |
| 1800 | |
| 1801 if (info != 0) | |
| 1802 rcon = 0.0; | |
| 1803 } | |
| 1804 } | |
| 1805 | |
| 1806 | |
| 1807 if (typ == MatrixType::Full) | |
| 1808 { | |
| 1809 octave_idx_type info = 0; | |
| 1810 | |
| 1811 Array<octave_idx_type> ipvt (nr); | |
| 1812 octave_idx_type *pipvt = ipvt.fortran_vec (); | |
| 1813 | |
| 1814 if(anorm < 0.) | |
| 1815 anorm = atmp.abs().sum(). | |
| 1816 row(static_cast<octave_idx_type>(0)).max(); | |
| 1817 | |
| 1818 Array<Complex> z (2 * nc); | |
| 1819 Complex *pz = z.fortran_vec (); | |
| 1820 Array<double> rz (2 * nc); | |
| 1821 double *prz = rz.fortran_vec (); | |
| 1822 | |
| 1823 F77_XFCN (zgetrf, ZGETRF, (nr, nr, tmp_data, nr, pipvt, info)); | |
| 1824 | |
| 1825 if (info != 0) | |
| 1826 { | |
| 1827 rcon = 0.0; | |
| 1828 mattype.mark_as_rectangular (); | |
| 1829 } | |
| 1830 else | |
| 1831 { | |
| 1832 char job = '1'; | |
| 1833 F77_XFCN (zgecon, ZGECON, (F77_CONST_CHAR_ARG2 (&job, 1), | |
| 1834 nc, tmp_data, nr, anorm, | |
| 1835 rcon, pz, prz, info | |
| 1836 F77_CHAR_ARG_LEN (1))); | |
| 1837 | |
| 1838 if (info != 0) | |
| 1839 rcon = 0.0; | |
| 1840 } | |
| 1841 } | |
| 1842 } | |
| 1843 else | |
| 1844 rcon = 0.0; | |
| 1845 } | |
| 1846 | |
| 1847 return rcon; | |
| 1848 } | |
| 1849 | |
| 458 | 1850 ComplexMatrix |
| 5785 | 1851 ComplexMatrix::utsolve (MatrixType &mattype, const ComplexMatrix& b, |
| 7788 | 1852 octave_idx_type& info, double& rcon, |
| 5785 | 1853 solve_singularity_handler sing_handler, |
| 1854 bool calc_cond) const | |
| 1855 { | |
| 1856 ComplexMatrix retval; | |
| 1857 | |
| 1858 octave_idx_type nr = rows (); | |
| 1859 octave_idx_type nc = cols (); | |
| 1860 | |
| 6924 | 1861 if (nr != b.rows ()) |
| 5785 | 1862 (*current_liboctave_error_handler) |
| 1863 ("matrix dimension mismatch solution of linear equations"); | |
| 6924 | 1864 else if (nr == 0 || nc == 0 || b.cols () == 0) |
| 1865 retval = ComplexMatrix (nc, b.cols (), Complex (0.0, 0.0)); | |
| 5785 | 1866 else |
| 1867 { | |
| 1868 volatile int typ = mattype.type (); | |
| 1869 | |
| 1870 if (typ == MatrixType::Permuted_Upper || | |
| 1871 typ == MatrixType::Upper) | |
| 1872 { | |
| 1873 octave_idx_type b_nc = b.cols (); | |
| 7788 | 1874 rcon = 1.; |
| 5785 | 1875 info = 0; |
| 1876 | |
| 1877 if (typ == MatrixType::Permuted_Upper) | |
| 1878 { | |
| 1879 (*current_liboctave_error_handler) | |
| 6390 | 1880 ("permuted triangular matrix not implemented"); |
| 5785 | 1881 } |
| 1882 else | |
| 1883 { | |
| 1884 const Complex *tmp_data = fortran_vec (); | |
| 1885 | |
| 1886 if (calc_cond) | |
| 1887 { | |
| 1888 char norm = '1'; | |
| 1889 char uplo = 'U'; | |
| 1890 char dia = 'N'; | |
| 1891 | |
| 1892 Array<Complex> z (2 * nc); | |
| 1893 Complex *pz = z.fortran_vec (); | |
| 1894 Array<double> rz (nc); | |
| 1895 double *prz = rz.fortran_vec (); | |
| 1896 | |
| 1897 F77_XFCN (ztrcon, ZTRCON, (F77_CONST_CHAR_ARG2 (&norm, 1), | |
| 1898 F77_CONST_CHAR_ARG2 (&uplo, 1), | |
| 1899 F77_CONST_CHAR_ARG2 (&dia, 1), | |
| 7788 | 1900 nr, tmp_data, nr, rcon, |
| 5785 | 1901 pz, prz, info |
| 1902 F77_CHAR_ARG_LEN (1) | |
| 1903 F77_CHAR_ARG_LEN (1) | |
| 1904 F77_CHAR_ARG_LEN (1))); | |
| 1905 | |
| 1906 if (info != 0) | |
| 1907 info = -2; | |
| 1908 | |
| 7788 | 1909 volatile double rcond_plus_one = rcon + 1.0; |
| 1910 | |
| 1911 if (rcond_plus_one == 1.0 || xisnan (rcon)) | |
| 5785 | 1912 { |
| 1913 info = -2; | |
| 1914 | |
| 1915 if (sing_handler) | |
| 7788 | 1916 sing_handler (rcon); |
| 5785 | 1917 else |
| 1918 (*current_liboctave_error_handler) | |
| 1919 ("matrix singular to machine precision, rcond = %g", | |
| 7788 | 1920 rcon); |
| 5785 | 1921 } |
| 1922 } | |
| 1923 | |
| 1924 if (info == 0) | |
| 1925 { | |
| 1926 retval = b; | |
| 1927 Complex *result = retval.fortran_vec (); | |
| 1928 | |
| 1929 char uplo = 'U'; | |
| 1930 char trans = 'N'; | |
| 1931 char dia = 'N'; | |
| 1932 | |
| 1933 F77_XFCN (ztrtrs, ZTRTRS, (F77_CONST_CHAR_ARG2 (&uplo, 1), | |
| 1934 F77_CONST_CHAR_ARG2 (&trans, 1), | |
| 1935 F77_CONST_CHAR_ARG2 (&dia, 1), | |
| 1936 nr, b_nc, tmp_data, nr, | |
| 1937 result, nr, info | |
| 1938 F77_CHAR_ARG_LEN (1) | |
| 1939 F77_CHAR_ARG_LEN (1) | |
| 1940 F77_CHAR_ARG_LEN (1))); | |
| 1941 } | |
| 1942 } | |
| 1943 } | |
| 1944 else | |
| 1945 (*current_liboctave_error_handler) ("incorrect matrix type"); | |
| 1946 } | |
| 1947 | |
| 1948 return retval; | |
| 1949 } | |
| 1950 | |
| 1951 ComplexMatrix | |
| 1952 ComplexMatrix::ltsolve (MatrixType &mattype, const ComplexMatrix& b, | |
| 7788 | 1953 octave_idx_type& info, double& rcon, |
| 5785 | 1954 solve_singularity_handler sing_handler, |
| 1955 bool calc_cond) const | |
| 1956 { | |
| 1957 ComplexMatrix retval; | |
| 1958 | |
| 1959 octave_idx_type nr = rows (); | |
| 1960 octave_idx_type nc = cols (); | |
| 1961 | |
| 6924 | 1962 if (nr != b.rows ()) |
| 5785 | 1963 (*current_liboctave_error_handler) |
| 1964 ("matrix dimension mismatch solution of linear equations"); | |
| 6924 | 1965 else if (nr == 0 || nc == 0 || b.cols () == 0) |
| 1966 retval = ComplexMatrix (nc, b.cols (), Complex (0.0, 0.0)); | |
| 5785 | 1967 else |
| 1968 { | |
| 1969 volatile int typ = mattype.type (); | |
| 1970 | |
| 1971 if (typ == MatrixType::Permuted_Lower || | |
| 1972 typ == MatrixType::Lower) | |
| 1973 { | |
| 1974 octave_idx_type b_nc = b.cols (); | |
| 7788 | 1975 rcon = 1.; |
| 5785 | 1976 info = 0; |
| 1977 | |
| 1978 if (typ == MatrixType::Permuted_Lower) | |
| 1979 { | |
| 1980 (*current_liboctave_error_handler) | |
| 6390 | 1981 ("permuted triangular matrix not implemented"); |
| 5785 | 1982 } |
| 1983 else | |
| 1984 { | |
| 1985 const Complex *tmp_data = fortran_vec (); | |
| 1986 | |
| 1987 if (calc_cond) | |
| 1988 { | |
| 1989 char norm = '1'; | |
| 1990 char uplo = 'L'; | |
| 1991 char dia = 'N'; | |
| 1992 | |
| 1993 Array<Complex> z (2 * nc); | |
| 1994 Complex *pz = z.fortran_vec (); | |
| 1995 Array<double> rz (nc); | |
| 1996 double *prz = rz.fortran_vec (); | |
| 1997 | |
| 1998 F77_XFCN (ztrcon, ZTRCON, (F77_CONST_CHAR_ARG2 (&norm, 1), | |
| 1999 F77_CONST_CHAR_ARG2 (&uplo, 1), | |
| 2000 F77_CONST_CHAR_ARG2 (&dia, 1), | |
| 7788 | 2001 nr, tmp_data, nr, rcon, |
| 5785 | 2002 pz, prz, info |
| 2003 F77_CHAR_ARG_LEN (1) | |
| 2004 F77_CHAR_ARG_LEN (1) | |
| 2005 F77_CHAR_ARG_LEN (1))); | |
| 2006 | |
| 2007 if (info != 0) | |
| 2008 info = -2; | |
| 2009 | |
| 7788 | 2010 volatile double rcond_plus_one = rcon + 1.0; |
| 2011 | |
| 2012 if (rcond_plus_one == 1.0 || xisnan (rcon)) | |
| 5785 | 2013 { |
| 2014 info = -2; | |
| 2015 | |
| 2016 if (sing_handler) | |
| 7788 | 2017 sing_handler (rcon); |
| 5785 | 2018 else |
| 2019 (*current_liboctave_error_handler) | |
| 2020 ("matrix singular to machine precision, rcond = %g", | |
| 7788 | 2021 rcon); |
| 5785 | 2022 } |
| 2023 } | |
| 2024 | |
| 2025 if (info == 0) | |
| 2026 { | |
| 2027 retval = b; | |
| 2028 Complex *result = retval.fortran_vec (); | |
| 2029 | |
| 2030 char uplo = 'L'; | |
| 2031 char trans = 'N'; | |
| 2032 char dia = 'N'; | |
| 2033 | |
| 2034 F77_XFCN (ztrtrs, ZTRTRS, (F77_CONST_CHAR_ARG2 (&uplo, 1), | |
| 2035 F77_CONST_CHAR_ARG2 (&trans, 1), | |
| 2036 F77_CONST_CHAR_ARG2 (&dia, 1), | |
| 2037 nr, b_nc, tmp_data, nr, | |
| 2038 result, nr, info | |
| 2039 F77_CHAR_ARG_LEN (1) | |
| 2040 F77_CHAR_ARG_LEN (1) | |
| 2041 F77_CHAR_ARG_LEN (1))); | |
| 2042 } | |
| 2043 } | |
| 2044 } | |
| 2045 else | |
| 2046 (*current_liboctave_error_handler) ("incorrect matrix type"); | |
| 2047 } | |
| 2048 | |
| 2049 return retval; | |
| 2050 } | |
| 2051 | |
| 2052 ComplexMatrix | |
| 2053 ComplexMatrix::fsolve (MatrixType &mattype, const ComplexMatrix& b, | |
| 7788 | 2054 octave_idx_type& info, double& rcon, |
| 5785 | 2055 solve_singularity_handler sing_handler, |
| 2056 bool calc_cond) const | |
| 2057 { | |
| 2058 ComplexMatrix retval; | |
| 2059 | |
| 2060 octave_idx_type nr = rows (); | |
| 2061 octave_idx_type nc = cols (); | |
| 2062 | |
| 6924 | 2063 |
| 2064 if (nr != nc || nr != b.rows ()) | |
| 5785 | 2065 (*current_liboctave_error_handler) |
| 6924 | 2066 ("matrix dimension mismatch solution of linear equations"); |
| 2067 else if (nr == 0 || b.cols () == 0) | |
| 2068 retval = ComplexMatrix (nc, b.cols (), Complex (0.0, 0.0)); | |
| 5785 | 2069 else |
| 2070 { | |
| 2071 volatile int typ = mattype.type (); | |
| 2072 | |
| 2073 // Calculate the norm of the matrix, for later use. | |
| 2074 double anorm = -1.; | |
| 2075 | |
| 2076 if (typ == MatrixType::Hermitian) | |
| 2077 { | |
| 2078 info = 0; | |
| 2079 char job = 'L'; | |
| 2080 ComplexMatrix atmp = *this; | |
| 2081 Complex *tmp_data = atmp.fortran_vec (); | |
| 2082 anorm = atmp.abs().sum().row(static_cast<octave_idx_type>(0)).max(); | |
| 2083 | |
| 2084 F77_XFCN (zpotrf, ZPOTRF, (F77_CONST_CHAR_ARG2 (&job, 1), nr, | |
| 2085 tmp_data, nr, info | |
| 2086 F77_CHAR_ARG_LEN (1))); | |
| 2087 | |
|
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29980c6b8604
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John W. Eaton <jwe@octave.org>
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diff
changeset
|
2088 // Throw-away extra info LAPACK gives so as to not change output. |
| 7788 | 2089 rcon = 0.0; |
|
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29980c6b8604
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diff
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|
2090 if (info != 0) |
|
29980c6b8604
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diff
changeset
|
2091 { |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
2092 info = -2; |
|
29980c6b8604
don't check f77_exception_encountered
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parents:
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diff
changeset
|
2093 |
|
29980c6b8604
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diff
changeset
|
2094 mattype.mark_as_unsymmetric (); |
|
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don't check f77_exception_encountered
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diff
changeset
|
2095 typ = MatrixType::Full; |
|
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don't check f77_exception_encountered
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diff
changeset
|
2096 } |
|
29980c6b8604
don't check f77_exception_encountered
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parents:
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diff
changeset
|
2097 else |
| 5785 | 2098 { |
|
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29980c6b8604
don't check f77_exception_encountered
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parents:
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diff
changeset
|
2099 if (calc_cond) |
| 5785 | 2100 { |
|
7482
29980c6b8604
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parents:
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diff
changeset
|
2101 Array<Complex> z (2 * nc); |
|
29980c6b8604
don't check f77_exception_encountered
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parents:
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diff
changeset
|
2102 Complex *pz = z.fortran_vec (); |
|
29980c6b8604
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parents:
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diff
changeset
|
2103 Array<double> rz (nc); |
|
29980c6b8604
don't check f77_exception_encountered
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parents:
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diff
changeset
|
2104 double *prz = rz.fortran_vec (); |
|
29980c6b8604
don't check f77_exception_encountered
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parents:
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diff
changeset
|
2105 |
|
29980c6b8604
don't check f77_exception_encountered
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parents:
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diff
changeset
|
2106 F77_XFCN (zpocon, ZPOCON, (F77_CONST_CHAR_ARG2 (&job, 1), |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2107 nr, tmp_data, nr, anorm, |
| 7788 | 2108 rcon, pz, prz, info |
|
7482
29980c6b8604
don't check f77_exception_encountered
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parents:
7478
diff
changeset
|
2109 F77_CHAR_ARG_LEN (1))); |
|
29980c6b8604
don't check f77_exception_encountered
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parents:
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diff
changeset
|
2110 |
|
29980c6b8604
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parents:
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diff
changeset
|
2111 if (info != 0) |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
2112 info = -2; |
|
29980c6b8604
don't check f77_exception_encountered
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parents:
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diff
changeset
|
2113 |
| 7788 | 2114 volatile double rcond_plus_one = rcon + 1.0; |
| 2115 | |
| 2116 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
|
2117 { |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2118 info = -2; |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
2119 |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2120 if (sing_handler) |
| 7788 | 2121 sing_handler (rcon); |
|
7482
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
2122 else |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2123 (*current_liboctave_error_handler) |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2124 ("matrix singular to machine precision, rcond = %g", |
| 7788 | 2125 rcon); |
|
7482
29980c6b8604
don't check f77_exception_encountered
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parents:
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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 |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2129 if (info == 0) |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
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diff
changeset
|
2130 { |
|
29980c6b8604
don't check f77_exception_encountered
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parents:
7478
diff
changeset
|
2131 retval = b; |
|
29980c6b8604
don't check f77_exception_encountered
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parents:
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diff
changeset
|
2132 Complex *result = retval.fortran_vec (); |
|
29980c6b8604
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parents:
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diff
changeset
|
2133 |
|
29980c6b8604
don't check f77_exception_encountered
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diff
changeset
|
2134 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
|
2135 |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2136 F77_XFCN (zpotrs, ZPOTRS, (F77_CONST_CHAR_ARG2 (&job, 1), |
|
29980c6b8604
don't check f77_exception_encountered
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parents:
7478
diff
changeset
|
2137 nr, b_nc, tmp_data, nr, |
|
29980c6b8604
don't check f77_exception_encountered
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parents:
7478
diff
changeset
|
2138 result, b.rows(), info |
|
29980c6b8604
don't check f77_exception_encountered
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parents:
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diff
changeset
|
2139 F77_CHAR_ARG_LEN (1))); |
|
29980c6b8604
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diff
changeset
|
2140 } |
|
29980c6b8604
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parents:
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diff
changeset
|
2141 else |
|
29980c6b8604
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parents:
7478
diff
changeset
|
2142 { |
| 5785 | 2143 mattype.mark_as_unsymmetric (); |
| 2144 typ = MatrixType::Full; | |
| 2145 } | |
| 2146 } | |
| 2147 } | |
| 2148 | |
| 2149 if (typ == MatrixType::Full) | |
| 2150 { | |
| 2151 info = 0; | |
| 2152 | |
| 2153 Array<octave_idx_type> ipvt (nr); | |
| 2154 octave_idx_type *pipvt = ipvt.fortran_vec (); | |
| 2155 | |
| 2156 ComplexMatrix atmp = *this; | |
| 2157 Complex *tmp_data = atmp.fortran_vec (); | |
| 2158 | |
| 2159 Array<Complex> z (2 * nc); | |
| 2160 Complex *pz = z.fortran_vec (); | |
| 2161 Array<double> rz (2 * nc); | |
| 2162 double *prz = rz.fortran_vec (); | |
| 2163 | |
| 2164 // Calculate the norm of the matrix, for later use. | |
| 2165 if (anorm < 0.) | |
| 2166 anorm = atmp.abs().sum().row(static_cast<octave_idx_type>(0)).max(); | |
| 2167 | |
| 2168 F77_XFCN (zgetrf, ZGETRF, (nr, nr, tmp_data, nr, pipvt, info)); | |
| 2169 | |
|
7482
29980c6b8604
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diff
changeset
|
2170 // Throw-away extra info LAPACK gives so as to not change output. |
| 7788 | 2171 rcon = 0.0; |
|
7482
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diff
changeset
|
2172 if (info != 0) |
|
29980c6b8604
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parents:
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diff
changeset
|
2173 { |
|
29980c6b8604
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parents:
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diff
changeset
|
2174 info = -2; |
|
29980c6b8604
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diff
changeset
|
2175 |
|
29980c6b8604
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parents:
7478
diff
changeset
|
2176 if (sing_handler) |
| 7788 | 2177 sing_handler (rcon); |
|
7482
29980c6b8604
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diff
changeset
|
2178 else |
|
29980c6b8604
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parents:
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diff
changeset
|
2179 (*current_liboctave_error_handler) |
|
29980c6b8604
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diff
changeset
|
2180 ("matrix singular to machine precision"); |
|
29980c6b8604
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diff
changeset
|
2181 |
|
29980c6b8604
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diff
changeset
|
2182 mattype.mark_as_rectangular (); |
|
29980c6b8604
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diff
changeset
|
2183 } |
|
29980c6b8604
don't check f77_exception_encountered
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parents:
7478
diff
changeset
|
2184 else |
| 5785 | 2185 { |
|
7482
29980c6b8604
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parents:
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diff
changeset
|
2186 if (calc_cond) |
| 5785 | 2187 { |
|
7482
29980c6b8604
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parents:
7478
diff
changeset
|
2188 // Now calculate the condition number for |
|
29980c6b8604
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diff
changeset
|
2189 // non-singular matrix. |
|
29980c6b8604
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diff
changeset
|
2190 char job = '1'; |
|
29980c6b8604
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diff
changeset
|
2191 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
|
2192 nc, tmp_data, nr, anorm, |
| 7788 | 2193 rcon, pz, prz, info |
|
7482
29980c6b8604
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John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2194 F77_CHAR_ARG_LEN (1))); |
|
29980c6b8604
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parents:
7478
diff
changeset
|
2195 |
|
29980c6b8604
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John W. Eaton <jwe@octave.org>
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7478
diff
changeset
|
2196 if (info != 0) |
|
29980c6b8604
don't check f77_exception_encountered
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parents:
7478
diff
changeset
|
2197 info = -2; |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2198 |
| 7788 | 2199 volatile double rcond_plus_one = rcon + 1.0; |
| 2200 | |
| 2201 if (rcond_plus_one == 1.0 || xisnan (rcon)) | |
| 5785 | 2202 { |
|
7482
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2203 info = -2; |
|
29980c6b8604
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John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2204 |
|
29980c6b8604
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John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2205 if (sing_handler) |
| 7788 | 2206 sing_handler (rcon); |
|
7482
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2207 else |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2208 (*current_liboctave_error_handler) |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
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7478
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|
2209 ("matrix singular to machine precision, rcond = %g", |
| 7788 | 2210 rcon); |
| 5785 | 2211 } |
| 2212 } | |
|
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|
2213 |
|
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|
2214 if (info == 0) |
|
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|
2215 { |
|
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|
2216 retval = b; |
|
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2217 Complex *result = retval.fortran_vec (); |
|
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|
2218 |
|
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|
2219 octave_idx_type b_nc = b.cols (); |
|
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2220 |
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2221 char job = 'N'; |
|
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2222 F77_XFCN (zgetrs, ZGETRS, (F77_CONST_CHAR_ARG2 (&job, 1), |
|
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|
2223 nr, b_nc, tmp_data, nr, |
|
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|
2224 pipvt, result, b.rows(), info |
|
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|
2225 F77_CHAR_ARG_LEN (1))); |
|
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|
2226 } |
|
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|
2227 else |
|
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changeset
|
2228 mattype.mark_as_rectangular (); |
| 5785 | 2229 } |
| 2230 } | |
| 2231 } | |
| 2232 | |
| 2233 return retval; | |
| 2234 } | |
| 2235 | |
| 2236 ComplexMatrix | |
| 2237 ComplexMatrix::solve (MatrixType &typ, const Matrix& b) const | |
| 2238 { | |
| 2239 octave_idx_type info; | |
| 7788 | 2240 double rcon; |
| 2241 return solve (typ, b, info, rcon, 0); | |
| 5785 | 2242 } |
| 2243 | |
| 2244 ComplexMatrix | |
| 2245 ComplexMatrix::solve (MatrixType &typ, const Matrix& b, | |
| 2246 octave_idx_type& info) const | |
| 2247 { | |
| 7788 | 2248 double rcon; |
| 2249 return solve (typ, b, info, rcon, 0); | |
| 5785 | 2250 } |
| 2251 | |
| 2252 ComplexMatrix | |
| 2253 ComplexMatrix::solve (MatrixType &typ, const Matrix& b, octave_idx_type& info, | |
| 7788 | 2254 double& rcon) const |
| 5785 | 2255 { |
| 7788 | 2256 return solve (typ, b, info, rcon, 0); |
| 5785 | 2257 } |
| 2258 | |
| 2259 ComplexMatrix | |
| 2260 ComplexMatrix::solve (MatrixType &typ, const Matrix& b, octave_idx_type& info, | |
| 7788 | 2261 double& rcon, solve_singularity_handler sing_handler, |
| 5785 | 2262 bool singular_fallback) const |
| 2263 { | |
| 2264 ComplexMatrix tmp (b); | |
| 7788 | 2265 return solve (typ, tmp, info, rcon, sing_handler, singular_fallback); |
| 5785 | 2266 } |
| 2267 | |
| 2268 ComplexMatrix | |
| 2269 ComplexMatrix::solve (MatrixType &typ, const ComplexMatrix& b) const | |
| 2270 { | |
| 2271 octave_idx_type info; | |
| 7788 | 2272 double rcon; |
| 2273 return solve (typ, b, info, rcon, 0); | |
| 5785 | 2274 } |
| 2275 | |
| 2276 ComplexMatrix | |
| 2277 ComplexMatrix::solve (MatrixType &typ, const ComplexMatrix& b, | |
| 2278 octave_idx_type& info) const | |
| 2279 { | |
| 7788 | 2280 double rcon; |
| 2281 return solve (typ, b, info, rcon, 0); | |
| 5785 | 2282 } |
| 2283 | |
| 2284 ComplexMatrix | |
| 2285 ComplexMatrix::solve (MatrixType &typ, const ComplexMatrix& b, | |
| 7788 | 2286 octave_idx_type& info, double& rcon) const |
| 5785 | 2287 { |
| 7788 | 2288 return solve (typ, b, info, rcon, 0); |
| 5785 | 2289 } |
| 2290 | |
| 2291 ComplexMatrix | |
| 2292 ComplexMatrix::solve (MatrixType &mattype, const ComplexMatrix& b, | |
| 7788 | 2293 octave_idx_type& info, double& rcon, |
| 5785 | 2294 solve_singularity_handler sing_handler, |
| 2295 bool singular_fallback) const | |
| 2296 { | |
| 2297 ComplexMatrix retval; | |
| 2298 int typ = mattype.type (); | |
| 2299 | |
| 2300 if (typ == MatrixType::Unknown) | |
| 2301 typ = mattype.type (*this); | |
| 2302 | |
| 2303 // Only calculate the condition number for LU/Cholesky | |
| 2304 if (typ == MatrixType::Upper || typ == MatrixType::Permuted_Upper) | |
| 7788 | 2305 retval = utsolve (mattype, b, info, rcon, sing_handler, false); |
| 5785 | 2306 else if (typ == MatrixType::Lower || typ == MatrixType::Permuted_Lower) |
| 7788 | 2307 retval = ltsolve (mattype, b, info, rcon, sing_handler, false); |
| 5785 | 2308 else if (typ == MatrixType::Full || typ == MatrixType::Hermitian) |
| 7788 | 2309 retval = fsolve (mattype, b, info, rcon, sing_handler, true); |
| 5785 | 2310 else if (typ != MatrixType::Rectangular) |
| 2311 { | |
| 2312 (*current_liboctave_error_handler) ("unknown matrix type"); | |
| 2313 return ComplexMatrix (); | |
| 2314 } | |
| 2315 | |
| 2316 // Rectangular or one of the above solvers flags a singular matrix | |
| 2317 if (singular_fallback && mattype.type () == MatrixType::Rectangular) | |
| 2318 { | |
| 2319 octave_idx_type rank; | |
| 7788 | 2320 retval = lssolve (b, info, rank, rcon); |
| 5785 | 2321 } |
| 2322 | |
| 2323 return retval; | |
| 2324 } | |
| 2325 | |
| 2326 ComplexColumnVector | |
| 2327 ComplexMatrix::solve (MatrixType &typ, const ColumnVector& b) const | |
| 2328 { | |
| 2329 octave_idx_type info; | |
| 7788 | 2330 double rcon; |
| 2331 return solve (typ, ComplexColumnVector (b), info, rcon, 0); | |
| 5785 | 2332 } |
| 2333 | |
| 2334 ComplexColumnVector | |
| 2335 ComplexMatrix::solve (MatrixType &typ, const ColumnVector& b, | |
| 2336 octave_idx_type& info) const | |
| 2337 { | |
| 7788 | 2338 double rcon; |
| 2339 return solve (typ, ComplexColumnVector (b), info, rcon, 0); | |
| 5785 | 2340 } |
| 2341 | |
| 2342 ComplexColumnVector | |
| 2343 ComplexMatrix::solve (MatrixType &typ, const ColumnVector& b, | |
| 7788 | 2344 octave_idx_type& info, double& rcon) const |
| 5785 | 2345 { |
| 7788 | 2346 return solve (typ, ComplexColumnVector (b), info, rcon, 0); |
| 5785 | 2347 } |
| 2348 | |
| 2349 ComplexColumnVector | |
| 2350 ComplexMatrix::solve (MatrixType &typ, const ColumnVector& b, | |
| 7788 | 2351 octave_idx_type& info, double& rcon, |
| 5785 | 2352 solve_singularity_handler sing_handler) const |
| 2353 { | |
| 7788 | 2354 return solve (typ, ComplexColumnVector (b), info, rcon, sing_handler); |
| 5785 | 2355 } |
| 2356 | |
| 2357 ComplexColumnVector | |
| 2358 ComplexMatrix::solve (MatrixType &typ, const ComplexColumnVector& b) const | |
| 2359 { | |
| 2360 octave_idx_type info; | |
| 7788 | 2361 double rcon; |
| 2362 return solve (typ, b, info, rcon, 0); | |
| 5785 | 2363 } |
| 2364 | |
| 2365 ComplexColumnVector | |
| 2366 ComplexMatrix::solve (MatrixType &typ, const ComplexColumnVector& b, | |
| 2367 octave_idx_type& info) const | |
| 2368 { | |
| 7788 | 2369 double rcon; |
| 2370 return solve (typ, b, info, rcon, 0); | |
| 5785 | 2371 } |
| 2372 | |
| 2373 ComplexColumnVector | |
| 2374 ComplexMatrix::solve (MatrixType &typ, const ComplexColumnVector& b, | |
| 7788 | 2375 octave_idx_type& info, double& rcon) const |
| 5785 | 2376 { |
| 7788 | 2377 return solve (typ, b, info, rcon, 0); |
| 5785 | 2378 } |
| 2379 | |
| 2380 ComplexColumnVector | |
| 2381 ComplexMatrix::solve (MatrixType &typ, const ComplexColumnVector& b, | |
| 7788 | 2382 octave_idx_type& info, double& rcon, |
| 5785 | 2383 solve_singularity_handler sing_handler) const |
| 2384 { | |
| 2385 | |
| 2386 ComplexMatrix tmp (b); | |
| 7788 | 2387 return solve (typ, tmp, info, rcon, sing_handler).column(static_cast<octave_idx_type> (0)); |
| 5785 | 2388 } |
| 2389 | |
| 2390 ComplexMatrix | |
| 458 | 2391 ComplexMatrix::solve (const Matrix& b) const |
| 2392 { | |
| 5275 | 2393 octave_idx_type info; |
| 7788 | 2394 double rcon; |
| 2395 return solve (b, info, rcon, 0); | |
| 458 | 2396 } |
| 2397 | |
| 2398 ComplexMatrix | |
| 5275 | 2399 ComplexMatrix::solve (const Matrix& b, octave_idx_type& info) const |
| 458 | 2400 { |
| 7788 | 2401 double rcon; |
| 2402 return solve (b, info, rcon, 0); | |
| 458 | 2403 } |
| 2404 | |
| 2405 ComplexMatrix | |
| 7788 | 2406 ComplexMatrix::solve (const Matrix& b, octave_idx_type& info, double& rcon) const |
| 458 | 2407 { |
| 7788 | 2408 return solve (b, info, rcon, 0); |
| 3480 | 2409 } |
| 2410 | |
| 2411 ComplexMatrix | |
| 7788 | 2412 ComplexMatrix::solve (const Matrix& b, octave_idx_type& info, double& rcon, |
| 3480 | 2413 solve_singularity_handler sing_handler) const |
| 2414 { | |
| 458 | 2415 ComplexMatrix tmp (b); |
| 7788 | 2416 return solve (tmp, info, rcon, sing_handler); |
| 458 | 2417 } |
| 2418 | |
| 2419 ComplexMatrix | |
| 2420 ComplexMatrix::solve (const ComplexMatrix& b) const | |
| 2421 { | |
| 5275 | 2422 octave_idx_type info; |
| 7788 | 2423 double rcon; |
| 2424 return solve (b, info, rcon, 0); | |
| 458 | 2425 } |
| 2426 | |
| 2427 ComplexMatrix | |
| 5275 | 2428 ComplexMatrix::solve (const ComplexMatrix& b, octave_idx_type& info) const |
| 458 | 2429 { |
| 7788 | 2430 double rcon; |
| 2431 return solve (b, info, rcon, 0); | |
| 458 | 2432 } |
| 3480 | 2433 |
| 458 | 2434 ComplexMatrix |
| 7788 | 2435 ComplexMatrix::solve (const ComplexMatrix& b, octave_idx_type& info, double& rcon) const |
| 458 | 2436 { |
| 7788 | 2437 return solve (b, info, rcon, 0); |
| 3480 | 2438 } |
| 2439 | |
| 2440 ComplexMatrix | |
| 7788 | 2441 ComplexMatrix::solve (const ComplexMatrix& b, octave_idx_type& info, double& rcon, |
| 3480 | 2442 solve_singularity_handler sing_handler) const |
| 2443 { | |
| 5785 | 2444 MatrixType mattype (*this); |
| 7788 | 2445 return solve (mattype, b, info, rcon, sing_handler); |
| 458 | 2446 } |
| 2447 | |
| 2448 ComplexColumnVector | |
| 3585 | 2449 ComplexMatrix::solve (const ColumnVector& b) const |
| 2450 { | |
| 5275 | 2451 octave_idx_type info; |
| 7788 | 2452 double rcon; |
| 2453 return solve (ComplexColumnVector (b), info, rcon, 0); | |
| 3585 | 2454 } |
| 2455 | |
| 2456 ComplexColumnVector | |
| 5275 | 2457 ComplexMatrix::solve (const ColumnVector& b, octave_idx_type& info) const |
| 3585 | 2458 { |
| 7788 | 2459 double rcon; |
| 2460 return solve (ComplexColumnVector (b), info, rcon, 0); | |
| 3585 | 2461 } |
| 2462 | |
| 2463 ComplexColumnVector | |
| 5785 | 2464 ComplexMatrix::solve (const ColumnVector& b, octave_idx_type& info, |
| 7788 | 2465 double& rcon) const |
| 3585 | 2466 { |
| 7788 | 2467 return solve (ComplexColumnVector (b), info, rcon, 0); |
| 3585 | 2468 } |
| 2469 | |
| 2470 ComplexColumnVector | |
| 5785 | 2471 ComplexMatrix::solve (const ColumnVector& b, octave_idx_type& info, |
| 7788 | 2472 double& rcon, |
| 3585 | 2473 solve_singularity_handler sing_handler) const |
| 2474 { | |
| 7788 | 2475 return solve (ComplexColumnVector (b), info, rcon, sing_handler); |
| 3585 | 2476 } |
| 2477 | |
| 2478 ComplexColumnVector | |
| 458 | 2479 ComplexMatrix::solve (const ComplexColumnVector& b) const |
| 2480 { | |
| 5275 | 2481 octave_idx_type info; |
| 7788 | 2482 double rcon; |
| 2483 return solve (b, info, rcon, 0); | |
| 458 | 2484 } |
| 2485 | |
| 2486 ComplexColumnVector | |
| 5275 | 2487 ComplexMatrix::solve (const ComplexColumnVector& b, octave_idx_type& info) const |
| 458 | 2488 { |
| 7788 | 2489 double rcon; |
| 2490 return solve (b, info, rcon, 0); | |
| 458 | 2491 } |
| 2492 | |
| 2493 ComplexColumnVector | |
| 5275 | 2494 ComplexMatrix::solve (const ComplexColumnVector& b, octave_idx_type& info, |
| 7788 | 2495 double& rcon) const |
| 458 | 2496 { |
| 7788 | 2497 return solve (b, info, rcon, 0); |
| 3480 | 2498 } |
| 2499 | |
| 2500 ComplexColumnVector | |
| 5275 | 2501 ComplexMatrix::solve (const ComplexColumnVector& b, octave_idx_type& info, |
| 7788 | 2502 double& rcon, |
| 3480 | 2503 solve_singularity_handler sing_handler) const |
| 2504 { | |
| 5785 | 2505 MatrixType mattype (*this); |
| 7788 | 2506 return solve (mattype, b, info, rcon, sing_handler); |
| 458 | 2507 } |
| 2508 | |
| 2509 ComplexMatrix | |
| 3585 | 2510 ComplexMatrix::lssolve (const Matrix& b) const |
| 2511 { | |
| 5275 | 2512 octave_idx_type info; |
| 2513 octave_idx_type rank; | |
| 7788 | 2514 double rcon; |
| 2515 return lssolve (ComplexMatrix (b), info, rank, rcon); | |
| 3585 | 2516 } |
| 2517 | |
| 2518 ComplexMatrix | |
| 5275 | 2519 ComplexMatrix::lssolve (const Matrix& b, octave_idx_type& info) const |
| 3585 | 2520 { |
| 5275 | 2521 octave_idx_type rank; |
| 7788 | 2522 double rcon; |
| 2523 return lssolve (ComplexMatrix (b), info, rank, rcon); | |
| 3585 | 2524 } |
| 2525 | |
| 2526 ComplexMatrix | |
| 7076 | 2527 ComplexMatrix::lssolve (const Matrix& b, octave_idx_type& info, |
| 2528 octave_idx_type& rank) const | |
| 3585 | 2529 { |
| 7788 | 2530 double rcon; |
| 2531 return lssolve (ComplexMatrix (b), info, rank, rcon); | |
| 7076 | 2532 } |
| 2533 | |
| 2534 ComplexMatrix | |
| 2535 ComplexMatrix::lssolve (const Matrix& b, octave_idx_type& info, | |
| 7788 | 2536 octave_idx_type& rank, double& rcon) const |
| 7076 | 2537 { |
| 7788 | 2538 return lssolve (ComplexMatrix (b), info, rank, rcon); |
| 3585 | 2539 } |
| 2540 | |
| 2541 ComplexMatrix | |
| 458 | 2542 ComplexMatrix::lssolve (const ComplexMatrix& b) const |
| 2543 { | |
| 5275 | 2544 octave_idx_type info; |
| 2545 octave_idx_type rank; | |
| 7788 | 2546 double rcon; |
| 2547 return lssolve (b, info, rank, rcon); | |
| 458 | 2548 } |
| 2549 | |
| 2550 ComplexMatrix | |
| 5275 | 2551 ComplexMatrix::lssolve (const ComplexMatrix& b, octave_idx_type& info) const |
| 458 | 2552 { |
| 5275 | 2553 octave_idx_type rank; |
| 7788 | 2554 double rcon; |
| 2555 return lssolve (b, info, rank, rcon); | |
| 458 | 2556 } |
| 2557 | |
| 2558 ComplexMatrix | |
| 7076 | 2559 ComplexMatrix::lssolve (const ComplexMatrix& b, octave_idx_type& info, |
| 2560 octave_idx_type& rank) const | |
| 2561 { | |
| 7788 | 2562 double rcon; |
| 2563 return lssolve (b, info, rank, rcon); | |
| 7076 | 2564 } |
| 2565 | |
| 2566 ComplexMatrix | |
| 2567 ComplexMatrix::lssolve (const ComplexMatrix& b, octave_idx_type& info, | |
| 7788 | 2568 octave_idx_type& rank, double& rcon) const |
| 458 | 2569 { |
| 1948 | 2570 ComplexMatrix retval; |
| 2571 | |
| 5275 | 2572 octave_idx_type nrhs = b.cols (); |
| 2573 | |
| 2574 octave_idx_type m = rows (); | |
| 2575 octave_idx_type n = cols (); | |
| 458 | 2576 |
| 6924 | 2577 if (m != b.rows ()) |
| 1948 | 2578 (*current_liboctave_error_handler) |
| 2579 ("matrix dimension mismatch solution of linear equations"); | |
| 6924 | 2580 else if (m== 0 || n == 0 || b.cols () == 0) |
| 2581 retval = ComplexMatrix (n, b.cols (), Complex (0.0, 0.0)); | |
| 1948 | 2582 else |
| 458 | 2583 { |
| 7072 | 2584 volatile octave_idx_type minmn = (m < n ? m : n); |
| 2585 octave_idx_type maxmn = m > n ? m : n; | |
| 7788 | 2586 rcon = -1.0; |
| 7072 | 2587 |
| 2588 if (m != n) | |
| 2589 { | |
| 2590 retval = ComplexMatrix (maxmn, nrhs); | |
| 2591 | |
| 2592 for (octave_idx_type j = 0; j < nrhs; j++) | |
| 2593 for (octave_idx_type i = 0; i < m; i++) | |
| 2594 retval.elem (i, j) = b.elem (i, j); | |
| 2595 } | |
| 2596 else | |
| 2597 retval = b; | |
| 2598 | |
| 1948 | 2599 ComplexMatrix atmp = *this; |
| 2600 Complex *tmp_data = atmp.fortran_vec (); | |
| 2601 | |
| 7072 | 2602 Complex *pretval = retval.fortran_vec (); |
| 2603 Array<double> s (minmn); | |
| 7071 | 2604 double *ps = s.fortran_vec (); |
| 2563 | 2605 |
| 7072 | 2606 // Ask ZGELSD what the dimension of WORK should be. |
| 5275 | 2607 octave_idx_type lwork = -1; |
| 3752 | 2608 |
| 2609 Array<Complex> work (1); | |
| 7079 | 2610 |
| 7477 | 2611 octave_idx_type smlsiz; |
| 2612 F77_FUNC (xilaenv, XILAENV) (9, F77_CONST_CHAR_ARG2 ("ZGELSD", 6), | |
| 2613 F77_CONST_CHAR_ARG2 (" ", 1), | |
| 7478 | 2614 0, 0, 0, 0, smlsiz |
| 7477 | 2615 F77_CHAR_ARG_LEN (6) |
| 7478 | 2616 F77_CHAR_ARG_LEN (1)); |
| 7079 | 2617 |
|
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2618 octave_idx_type mnthr; |
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2619 F77_FUNC (xilaenv, XILAENV) (6, F77_CONST_CHAR_ARG2 ("ZGELSD", 6), |
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2620 F77_CONST_CHAR_ARG2 (" ", 1), |
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2621 m, n, nrhs, -1, mnthr |
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2622 F77_CHAR_ARG_LEN (6) |
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2623 F77_CHAR_ARG_LEN (1)); |
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2624 |
| 7079 | 2625 // We compute the size of rwork and iwork because ZGELSD in |
| 2626 // older versions of LAPACK does not return them on a query | |
| 2627 // call. | |
| 7124 | 2628 double dminmn = static_cast<double> (minmn); |
| 2629 double dsmlsizp1 = static_cast<double> (smlsiz+1); | |
| 7079 | 2630 #if defined (HAVE_LOG2) |
|
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2631 double tmp = log2 (dminmn / dsmlsizp1); |
| 7079 | 2632 #else |
|
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2633 double tmp = log (dminmn / dsmlsizp1) / log (2.0); |
| 7079 | 2634 #endif |
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2635 octave_idx_type nlvl = static_cast<octave_idx_type> (tmp) + 1; |
| 7079 | 2636 if (nlvl < 0) |
| 2637 nlvl = 0; | |
| 2638 | |
| 2639 octave_idx_type lrwork = minmn*(10 + 2*smlsiz + 8*nlvl) | |
| 2640 + 3*smlsiz*nrhs + (smlsiz+1)*(smlsiz+1); | |
| 2641 if (lrwork < 1) | |
| 2642 lrwork = 1; | |
| 2643 Array<double> rwork (lrwork); | |
| 2644 double *prwork = rwork.fortran_vec (); | |
| 2645 | |
| 2646 octave_idx_type liwork = 3 * minmn * nlvl + 11 * minmn; | |
| 2647 if (liwork < 1) | |
| 2648 liwork = 1; | |
| 2649 Array<octave_idx_type> iwork (liwork); | |
| 2650 octave_idx_type* piwork = iwork.fortran_vec (); | |
| 7072 | 2651 |
| 2652 F77_XFCN (zgelsd, ZGELSD, (m, n, nrhs, tmp_data, m, pretval, maxmn, | |
| 7788 | 2653 ps, rcon, rank, work.fortran_vec (), |
| 7079 | 2654 lwork, prwork, piwork, info)); |
| 1948 | 2655 |
| 7476 | 2656 // The workspace query is broken in at least LAPACK 3.0.0 |
|
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diff
changeset
|
2657 // through 3.1.1 when n >= mnthr. The obtuse formula below |
|
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diff
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|
2658 // should provide sufficient workspace for ZGELSD to operate |
| 7476 | 2659 // efficiently. |
|
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diff
changeset
|
2660 if (n >= mnthr) |
| 7476 | 2661 { |
| 2662 octave_idx_type addend = m; | |
| 2663 | |
| 2664 if (2*m-4 > addend) | |
| 2665 addend = 2*m-4; | |
| 2666 | |
| 2667 if (nrhs > addend) | |
| 2668 addend = nrhs; | |
| 2669 | |
| 2670 if (n-3*m > addend) | |
| 2671 addend = n-3*m; | |
| 2672 | |
| 2673 const octave_idx_type lworkaround = 4*m + m*m + addend; | |
| 2674 | |
| 2675 if (std::real (work(0)) < lworkaround) | |
| 2676 work(0) = lworkaround; | |
| 2677 } | |
|
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|
2678 else if (m >= n) |
|
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parents:
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diff
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|
2679 { |
|
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diff
changeset
|
2680 octave_idx_type lworkaround = 2*m + m*nrhs; |
|
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avoid another xGELSD workspace query bug
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parents:
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diff
changeset
|
2681 |
|
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changeset
|
2682 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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|
2683 work(0) = lworkaround; |
|
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|
2684 } |
| 7476 | 2685 |
|
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29980c6b8604
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diff
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|
2686 lwork = static_cast<octave_idx_type> (std::real (work(0))); |
|
29980c6b8604
don't check f77_exception_encountered
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changeset
|
2687 work.resize (lwork); |
|
29980c6b8604
don't check f77_exception_encountered
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changeset
|
2688 |
|
29980c6b8604
don't check f77_exception_encountered
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diff
changeset
|
2689 F77_XFCN (zgelsd, ZGELSD, (m, n, nrhs, tmp_data, m, pretval, |
| 7788 | 2690 maxmn, ps, rcon, rank, |
|
7482
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changeset
|
2691 work.fortran_vec (), lwork, |
|
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diff
changeset
|
2692 prwork, piwork, info)); |
|
29980c6b8604
don't check f77_exception_encountered
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changeset
|
2693 |
|
29980c6b8604
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changeset
|
2694 if (rank < minmn) |
|
29980c6b8604
don't check f77_exception_encountered
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diff
changeset
|
2695 (*current_liboctave_warning_handler) |
|
29980c6b8604
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parents:
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diff
changeset
|
2696 ("zgelsd: rank deficient %dx%d matrix, rank = %d, tol = %e", |
| 7788 | 2697 m, n, rank, rcon); |
|
7482
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changeset
|
2698 |
|
29980c6b8604
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changeset
|
2699 if (s.elem (0) == 0.0) |
| 7788 | 2700 rcon = 0.0; |
| 1948 | 2701 else |
| 7788 | 2702 rcon = s.elem (minmn - 1) / s.elem (0); |
|
7482
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|
2703 |
|
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changeset
|
2704 retval.resize (n, nrhs); |
| 458 | 2705 } |
| 2706 | |
| 2707 return retval; | |
| 2708 } | |
| 2709 | |
| 2710 ComplexColumnVector | |
| 3585 | 2711 ComplexMatrix::lssolve (const ColumnVector& b) const |
| 2712 { | |
| 5275 | 2713 octave_idx_type info; |
| 2714 octave_idx_type rank; | |
| 7788 | 2715 double rcon; |
| 2716 return lssolve (ComplexColumnVector (b), info, rank, rcon); | |
| 3585 | 2717 } |
| 2718 | |
| 2719 ComplexColumnVector | |
| 5275 | 2720 ComplexMatrix::lssolve (const ColumnVector& b, octave_idx_type& info) const |
| 3585 | 2721 { |
| 5275 | 2722 octave_idx_type rank; |
| 7788 | 2723 double rcon; |
| 2724 return lssolve (ComplexColumnVector (b), info, rank, rcon); | |
| 3585 | 2725 } |
| 2726 | |
| 2727 ComplexColumnVector | |
| 7076 | 2728 ComplexMatrix::lssolve (const ColumnVector& b, octave_idx_type& info, |
| 2729 octave_idx_type& rank) const | |
| 3585 | 2730 { |
| 7788 | 2731 double rcon; |
| 2732 return lssolve (ComplexColumnVector (b), info, rank, rcon); | |
| 7076 | 2733 } |
| 2734 | |
| 2735 ComplexColumnVector | |
| 2736 ComplexMatrix::lssolve (const ColumnVector& b, octave_idx_type& info, | |
| 7788 | 2737 octave_idx_type& rank, double& rcon) const |
| 7076 | 2738 { |
| 7788 | 2739 return lssolve (ComplexColumnVector (b), info, rank, rcon); |
| 3585 | 2740 } |
| 2741 | |
| 2742 ComplexColumnVector | |
| 458 | 2743 ComplexMatrix::lssolve (const ComplexColumnVector& b) const |
| 2744 { | |
| 5275 | 2745 octave_idx_type info; |
| 2746 octave_idx_type rank; | |
| 7788 | 2747 double rcon; |
| 2748 return lssolve (b, info, rank, rcon); | |
| 458 | 2749 } |
| 2750 | |
| 2751 ComplexColumnVector | |
| 5275 | 2752 ComplexMatrix::lssolve (const ComplexColumnVector& b, octave_idx_type& info) const |
| 458 | 2753 { |
| 5275 | 2754 octave_idx_type rank; |
| 7788 | 2755 double rcon; |
| 2756 return lssolve (b, info, rank, rcon); | |
| 458 | 2757 } |
| 2758 | |
| 2759 ComplexColumnVector | |
| 5275 | 2760 ComplexMatrix::lssolve (const ComplexColumnVector& b, octave_idx_type& info, |
| 2761 octave_idx_type& rank) const | |
| 458 | 2762 { |
| 7788 | 2763 double rcon; |
| 2764 return lssolve (b, info, rank, rcon); | |
| 7076 | 2765 |
| 2766 } | |
| 2767 | |
| 2768 ComplexColumnVector | |
| 2769 ComplexMatrix::lssolve (const ComplexColumnVector& b, octave_idx_type& info, | |
| 7788 | 2770 octave_idx_type& rank, double& rcon) const |
| 7076 | 2771 { |
| 1948 | 2772 ComplexColumnVector retval; |
| 2773 | |
| 5275 | 2774 octave_idx_type nrhs = 1; |
| 2775 | |
| 2776 octave_idx_type m = rows (); | |
| 2777 octave_idx_type n = cols (); | |
| 458 | 2778 |
| 6924 | 2779 if (m != b.length ()) |
| 1948 | 2780 (*current_liboctave_error_handler) |
| 6924 | 2781 ("matrix dimension mismatch solution of linear equations"); |
| 2782 else if (m == 0 || n == 0 || b.cols () == 0) | |
| 2783 retval = ComplexColumnVector (n, Complex (0.0, 0.0)); | |
| 1948 | 2784 else |
| 458 | 2785 { |
| 7072 | 2786 volatile octave_idx_type minmn = (m < n ? m : n); |
| 2787 octave_idx_type maxmn = m > n ? m : n; | |
| 7788 | 2788 rcon = -1.0; |
| 7072 | 2789 |
| 2790 if (m != n) | |
| 2791 { | |
| 2792 retval = ComplexColumnVector (maxmn); | |
| 2793 | |
| 2794 for (octave_idx_type i = 0; i < m; i++) | |
| 2795 retval.elem (i) = b.elem (i); | |
| 2796 } | |
| 2797 else | |
| 2798 retval = b; | |
| 2799 | |
| 1948 | 2800 ComplexMatrix atmp = *this; |
| 2801 Complex *tmp_data = atmp.fortran_vec (); | |
| 2802 | |
| 7072 | 2803 Complex *pretval = retval.fortran_vec (); |
| 2804 Array<double> s (minmn); | |
| 7071 | 2805 double *ps = s.fortran_vec (); |
| 1948 | 2806 |
| 7072 | 2807 // Ask ZGELSD what the dimension of WORK should be. |
| 5275 | 2808 octave_idx_type lwork = -1; |
| 3752 | 2809 |
| 2810 Array<Complex> work (1); | |
| 7079 | 2811 |
|
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parents:
7532
diff
changeset
|
2812 octave_idx_type smlsiz; |
|
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7532
diff
changeset
|
2813 F77_FUNC (xilaenv, XILAENV) (9, F77_CONST_CHAR_ARG2 ("ZGELSD", 6), |
|
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diff
changeset
|
2814 F77_CONST_CHAR_ARG2 (" ", 1), |
|
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more xGELSD workspace fixes
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parents:
7532
diff
changeset
|
2815 0, 0, 0, 0, smlsiz |
|
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7532
diff
changeset
|
2816 F77_CHAR_ARG_LEN (6) |
|
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more xGELSD workspace fixes
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diff
changeset
|
2817 F77_CHAR_ARG_LEN (1)); |
| 7079 | 2818 |
| 2819 // We compute the size of rwork and iwork because ZGELSD in | |
| 2820 // older versions of LAPACK does not return them on a query | |
| 2821 // call. | |
| 7124 | 2822 double dminmn = static_cast<double> (minmn); |
| 2823 double dsmlsizp1 = static_cast<double> (smlsiz+1); | |
| 7079 | 2824 #if defined (HAVE_LOG2) |
|
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parents:
7532
diff
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|
2825 double tmp = log2 (dminmn / dsmlsizp1); |
| 7079 | 2826 #else |
|
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diff
changeset
|
2827 double tmp = log (dminmn / dsmlsizp1) / log (2.0); |
| 7079 | 2828 #endif |
|
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diff
changeset
|
2829 octave_idx_type nlvl = static_cast<octave_idx_type> (tmp) + 1; |
| 7079 | 2830 if (nlvl < 0) |
| 2831 nlvl = 0; | |
| 2832 | |
| 2833 octave_idx_type lrwork = minmn*(10 + 2*smlsiz + 8*nlvl) | |
| 2834 + 3*smlsiz*nrhs + (smlsiz+1)*(smlsiz+1); | |
| 2835 if (lrwork < 1) | |
| 2836 lrwork = 1; | |
| 2837 Array<double> rwork (lrwork); | |
| 2838 double *prwork = rwork.fortran_vec (); | |
| 2839 | |
| 2840 octave_idx_type liwork = 3 * minmn * nlvl + 11 * minmn; | |
| 2841 if (liwork < 1) | |
| 2842 liwork = 1; | |
| 2843 Array<octave_idx_type> iwork (liwork); | |
| 2844 octave_idx_type* piwork = iwork.fortran_vec (); | |
| 7072 | 2845 |
| 2846 F77_XFCN (zgelsd, ZGELSD, (m, n, nrhs, tmp_data, m, pretval, maxmn, | |
| 7788 | 2847 ps, rcon, rank, work.fortran_vec (), |
| 7079 | 2848 lwork, prwork, piwork, info)); |
| 1948 | 2849 |
|
7482
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7478
diff
changeset
|
2850 lwork = static_cast<octave_idx_type> (std::real (work(0))); |
|
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diff
changeset
|
2851 work.resize (lwork); |
|
29980c6b8604
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parents:
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diff
changeset
|
2852 rwork.resize (static_cast<octave_idx_type> (rwork(0))); |
|
29980c6b8604
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diff
changeset
|
2853 iwork.resize (iwork(0)); |
|
29980c6b8604
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parents:
7478
diff
changeset
|
2854 |
|
29980c6b8604
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parents:
7478
diff
changeset
|
2855 F77_XFCN (zgelsd, ZGELSD, (m, n, nrhs, tmp_data, m, pretval, |
| 7788 | 2856 maxmn, ps, rcon, rank, |
|
7482
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diff
changeset
|
2857 work.fortran_vec (), lwork, |
|
29980c6b8604
don't check f77_exception_encountered
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7478
diff
changeset
|
2858 prwork, piwork, info)); |
|
29980c6b8604
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7478
diff
changeset
|
2859 |
|
29980c6b8604
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diff
changeset
|
2860 if (rank < minmn) |
| 1948 | 2861 { |
|
7482
29980c6b8604
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diff
changeset
|
2862 if (rank < minmn) |
|
29980c6b8604
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diff
changeset
|
2863 (*current_liboctave_warning_handler) |
|
29980c6b8604
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7478
diff
changeset
|
2864 ("zgelsd: rank deficient %dx%d matrix, rank = %d, tol = %e", |
| 7788 | 2865 m, n, rank, rcon); |
|
7482
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|
2866 |
|
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diff
changeset
|
2867 if (s.elem (0) == 0.0) |
| 7788 | 2868 rcon = 0.0; |
|
7482
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diff
changeset
|
2869 else |
| 7788 | 2870 rcon = s.elem (minmn - 1) / s.elem (0); |
|
7482
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|
2871 |
|
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changeset
|
2872 retval.resize (n, nrhs); |
| 1948 | 2873 } |
| 458 | 2874 } |
| 2875 | |
| 2876 return retval; | |
| 2877 } | |
| 2878 | |
| 1205 | 2879 // column vector by row vector -> matrix operations |
| 2880 | |
| 2881 ComplexMatrix | |
| 2882 operator * (const ColumnVector& v, const ComplexRowVector& a) | |
| 2883 { | |
| 2884 ComplexColumnVector tmp (v); | |
| 2885 return tmp * a; | |
| 2886 } | |
| 2887 | |
| 2888 ComplexMatrix | |
| 2889 operator * (const ComplexColumnVector& a, const RowVector& b) | |
| 2890 { | |
| 2891 ComplexRowVector tmp (b); | |
| 2892 return a * tmp; | |
| 2893 } | |
| 2894 | |
| 2895 ComplexMatrix | |
| 2896 operator * (const ComplexColumnVector& v, const ComplexRowVector& a) | |
| 2897 { | |
| 1948 | 2898 ComplexMatrix retval; |
| 2899 | |
| 5275 | 2900 octave_idx_type len = v.length (); |
| 3233 | 2901 |
| 2902 if (len != 0) | |
| 1205 | 2903 { |
| 5275 | 2904 octave_idx_type a_len = a.length (); |
| 3233 | 2905 |
| 2906 retval.resize (len, a_len); | |
| 2907 Complex *c = retval.fortran_vec (); | |
| 2908 | |
| 4552 | 2909 F77_XFCN (zgemm, ZGEMM, (F77_CONST_CHAR_ARG2 ("N", 1), |
| 2910 F77_CONST_CHAR_ARG2 ("N", 1), | |
| 2911 len, a_len, 1, 1.0, v.data (), len, | |
| 2912 a.data (), 1, 0.0, c, len | |
| 2913 F77_CHAR_ARG_LEN (1) | |
| 2914 F77_CHAR_ARG_LEN (1))); | |
| 1205 | 2915 } |
| 2916 | |
| 1948 | 2917 return retval; |
| 1205 | 2918 } |
| 2919 | |
| 458 | 2920 // matrix by diagonal matrix -> matrix operations |
| 2921 | |
| 2922 ComplexMatrix& | |
| 2923 ComplexMatrix::operator += (const DiagMatrix& a) | |
| 2924 { | |
| 5275 | 2925 octave_idx_type nr = rows (); |
| 2926 octave_idx_type nc = cols (); | |
| 2927 | |
| 2928 octave_idx_type a_nr = rows (); | |
| 2929 octave_idx_type a_nc = cols (); | |
| 2384 | 2930 |
| 2931 if (nr != a_nr || nc != a_nc) | |
| 458 | 2932 { |
| 2384 | 2933 gripe_nonconformant ("operator +=", nr, nc, a_nr, a_nc); |
| 889 | 2934 return *this; |
| 458 | 2935 } |
| 2936 | |
| 5275 | 2937 for (octave_idx_type i = 0; i < a.length (); i++) |
| 458 | 2938 elem (i, i) += a.elem (i, i); |
| 2939 | |
| 2940 return *this; | |
| 2941 } | |
| 2942 | |
| 2943 ComplexMatrix& | |
| 2944 ComplexMatrix::operator -= (const DiagMatrix& a) | |
| 2945 { | |
| 5275 | 2946 octave_idx_type nr = rows (); |
| 2947 octave_idx_type nc = cols (); | |
| 2948 | |
| 2949 octave_idx_type a_nr = rows (); | |
| 2950 octave_idx_type a_nc = cols (); | |
| 2384 | 2951 |
| 2952 if (nr != a_nr || nc != a_nc) | |
| 458 | 2953 { |
| 2384 | 2954 gripe_nonconformant ("operator -=", nr, nc, a_nr, a_nc); |
| 889 | 2955 return *this; |
| 458 | 2956 } |
| 2957 | |
| 5275 | 2958 for (octave_idx_type i = 0; i < a.length (); i++) |
| 458 | 2959 elem (i, i) -= a.elem (i, i); |
| 2960 | |
| 2961 return *this; | |
| 2962 } | |
| 2963 | |
| 2964 ComplexMatrix& | |
| 2965 ComplexMatrix::operator += (const ComplexDiagMatrix& a) | |
| 2966 { | |
| 5275 | 2967 octave_idx_type nr = rows (); |
| 2968 octave_idx_type nc = cols (); | |
| 2969 | |
| 2970 octave_idx_type a_nr = rows (); | |
| 2971 octave_idx_type a_nc = cols (); | |
| 2384 | 2972 |
| 2973 if (nr != a_nr || nc != a_nc) | |
| 458 | 2974 { |
| 2384 | 2975 gripe_nonconformant ("operator +=", nr, nc, a_nr, a_nc); |
| 889 | 2976 return *this; |
| 458 | 2977 } |
| 2978 | |
| 5275 | 2979 for (octave_idx_type i = 0; i < a.length (); i++) |
| 458 | 2980 elem (i, i) += a.elem (i, i); |
| 2981 | |
| 2982 return *this; | |
| 2983 } | |
| 2984 | |
| 2985 ComplexMatrix& | |
| 2986 ComplexMatrix::operator -= (const ComplexDiagMatrix& a) | |
| 2987 { | |
| 5275 | 2988 octave_idx_type nr = rows (); |
| 2989 octave_idx_type nc = cols (); | |
| 2990 | |
| 2991 octave_idx_type a_nr = rows (); | |
| 2992 octave_idx_type a_nc = cols (); | |
| 2384 | 2993 |
| 2994 if (nr != a_nr || nc != a_nc) | |
| 458 | 2995 { |
| 2384 | 2996 gripe_nonconformant ("operator -=", nr, nc, a_nr, a_nc); |
| 889 | 2997 return *this; |
| 458 | 2998 } |
| 2999 | |
| 5275 | 3000 for (octave_idx_type i = 0; i < a.length (); i++) |
| 458 | 3001 elem (i, i) -= a.elem (i, i); |
| 3002 | |
| 3003 return *this; | |
| 3004 } | |
| 3005 | |
| 3006 // matrix by matrix -> matrix operations | |
| 3007 | |
| 3008 ComplexMatrix& | |
| 3009 ComplexMatrix::operator += (const Matrix& a) | |
| 3010 { | |
| 5275 | 3011 octave_idx_type nr = rows (); |
| 3012 octave_idx_type nc = cols (); | |
| 3013 | |
| 3014 octave_idx_type a_nr = a.rows (); | |
| 3015 octave_idx_type a_nc = a.cols (); | |
| 2384 | 3016 |
| 3017 if (nr != a_nr || nc != a_nc) | |
| 458 | 3018 { |
| 2384 | 3019 gripe_nonconformant ("operator +=", nr, nc, a_nr, a_nc); |
| 458 | 3020 return *this; |
| 3021 } | |
| 3022 | |
| 3023 if (nr == 0 || nc == 0) | |
| 3024 return *this; | |
| 3025 | |
| 3026 Complex *d = fortran_vec (); // Ensures only one reference to my privates! | |
| 3027 | |
| 3769 | 3028 mx_inline_add2 (d, a.data (), length ()); |
| 458 | 3029 return *this; |
| 3030 } | |
| 3031 | |
| 3032 ComplexMatrix& | |
| 3033 ComplexMatrix::operator -= (const Matrix& a) | |
| 3034 { | |
| 5275 | 3035 octave_idx_type nr = rows (); |
| 3036 octave_idx_type nc = cols (); | |
| 3037 | |
| 3038 octave_idx_type a_nr = a.rows (); | |
| 3039 octave_idx_type a_nc = a.cols (); | |
| 2384 | 3040 |
| 3041 if (nr != a_nr || nc != a_nc) | |
| 458 | 3042 { |
| 2384 | 3043 gripe_nonconformant ("operator -=", nr, nc, a_nr, a_nc); |
| 458 | 3044 return *this; |
| 3045 } | |
| 3046 | |
| 3047 if (nr == 0 || nc == 0) | |
| 3048 return *this; | |
| 3049 | |
| 3050 Complex *d = fortran_vec (); // Ensures only one reference to my privates! | |
| 3051 | |
| 3769 | 3052 mx_inline_subtract2 (d, a.data (), length ()); |
| 458 | 3053 return *this; |
| 3054 } | |
| 3055 | |
| 3056 // unary operations | |
| 3057 | |
| 2964 | 3058 boolMatrix |
| 458 | 3059 ComplexMatrix::operator ! (void) const |
| 3060 { | |
| 5275 | 3061 octave_idx_type nr = rows (); |
| 3062 octave_idx_type nc = cols (); | |
| 2964 | 3063 |
| 3064 boolMatrix b (nr, nc); | |
| 3065 | |
| 5275 | 3066 for (octave_idx_type j = 0; j < nc; j++) |
| 3067 for (octave_idx_type i = 0; i < nr; i++) | |
| 5139 | 3068 b.elem (i, j) = elem (i, j) == 0.0; |
| 2964 | 3069 |
| 3070 return b; | |
| 458 | 3071 } |
| 3072 | |
| 3073 // other operations | |
| 3074 | |
| 2676 | 3075 Matrix |
|
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8c32f95c2639
convert mapper functions to new format
David Bateman <dbateman@free.fr>
parents:
7488
diff
changeset
|
3076 ComplexMatrix::map (dmapper fcn) const |
| 458 | 3077 { |
|
7503
8c32f95c2639
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parents:
7488
diff
changeset
|
3078 return MArray2<Complex>::map<double> (func_ptr (fcn)); |
|
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 |
|
8c32f95c2639
convert mapper functions to new format
David Bateman <dbateman@free.fr>
parents:
7488
diff
changeset
|
3081 ComplexMatrix |
|
8c32f95c2639
convert mapper functions to new format
David Bateman <dbateman@free.fr>
parents:
7488
diff
changeset
|
3082 ComplexMatrix::map (cmapper fcn) const |
|
8c32f95c2639
convert mapper functions to new format
David Bateman <dbateman@free.fr>
parents:
7488
diff
changeset
|
3083 { |
|
8c32f95c2639
convert mapper functions to new format
David Bateman <dbateman@free.fr>
parents:
7488
diff
changeset
|
3084 return MArray2<Complex>::map<Complex> (func_ptr (fcn)); |
| 3248 | 3085 } |
| 3086 | |
| 3087 boolMatrix | |
|
7503
8c32f95c2639
convert mapper functions to new format
David Bateman <dbateman@free.fr>
parents:
7488
diff
changeset
|
3088 ComplexMatrix::map (bmapper fcn) const |
| 3248 | 3089 { |
|
7503
8c32f95c2639
convert mapper functions to new format
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parents:
7488
diff
changeset
|
3090 return MArray2<Complex>::map<bool> (func_ptr (fcn)); |
| 458 | 3091 } |
| 3092 | |
| 2384 | 3093 bool |
|
7922
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3094 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
|
3095 { |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3096 octave_idx_type nr = rows (); |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3097 octave_idx_type nc = cols (); |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3098 |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3099 for (octave_idx_type j = 0; j < nc; j++) |
|
935be827eaf8
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John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3100 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
|
3101 { |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3102 Complex val = elem (i, j); |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3103 if (xisnan (val)) |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3104 return true; |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3105 } |
|
935be827eaf8
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John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3106 |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3107 return false; |
|
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 |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3110 bool |
| 2384 | 3111 ComplexMatrix::any_element_is_inf_or_nan (void) const |
| 3112 { | |
| 5275 | 3113 octave_idx_type nr = rows (); |
| 3114 octave_idx_type nc = cols (); | |
| 3115 | |
| 3116 for (octave_idx_type j = 0; j < nc; j++) | |
| 3117 for (octave_idx_type i = 0; i < nr; i++) | |
| 2384 | 3118 { |
| 3119 Complex val = elem (i, j); | |
| 3120 if (xisinf (val) || xisnan (val)) | |
| 3121 return true; | |
| 3122 } | |
| 3123 | |
| 3124 return false; | |
| 3125 } | |
| 3126 | |
| 2408 | 3127 // Return true if no elements have imaginary components. |
| 3128 | |
| 3129 bool | |
| 3130 ComplexMatrix::all_elements_are_real (void) const | |
| 3131 { | |
| 5275 | 3132 octave_idx_type nr = rows (); |
| 3133 octave_idx_type nc = cols (); | |
| 3134 | |
| 3135 for (octave_idx_type j = 0; j < nc; j++) | |
| 4349 | 3136 { |
| 5275 | 3137 for (octave_idx_type i = 0; i < nr; i++) |
| 4349 | 3138 { |
| 5315 | 3139 double ip = std::imag (elem (i, j)); |
| 4349 | 3140 |
| 3141 if (ip != 0.0 || lo_ieee_signbit (ip)) | |
| 3142 return false; | |
| 3143 } | |
| 3144 } | |
| 2408 | 3145 |
| 3146 return true; | |
| 3147 } | |
| 3148 | |
| 1968 | 3149 // Return nonzero if any element of CM has a non-integer real or |
| 3150 // imaginary part. Also extract the largest and smallest (real or | |
| 3151 // imaginary) values and return them in MAX_VAL and MIN_VAL. | |
| 3152 | |
| 2384 | 3153 bool |
| 1968 | 3154 ComplexMatrix::all_integers (double& max_val, double& min_val) const |
| 3155 { | |
| 5275 | 3156 octave_idx_type nr = rows (); |
| 3157 octave_idx_type nc = cols (); | |
| 1968 | 3158 |
| 3159 if (nr > 0 && nc > 0) | |
| 3160 { | |
| 3161 Complex val = elem (0, 0); | |
| 3162 | |
| 5315 | 3163 double r_val = std::real (val); |
| 3164 double i_val = std::imag (val); | |
| 1968 | 3165 |
| 3166 max_val = r_val; | |
| 3167 min_val = r_val; | |
| 3168 | |
| 3169 if (i_val > max_val) | |
| 3170 max_val = i_val; | |
| 3171 | |
| 3172 if (i_val < max_val) | |
| 3173 min_val = i_val; | |
| 3174 } | |
| 3175 else | |
| 2384 | 3176 return false; |
| 1968 | 3177 |
| 5275 | 3178 for (octave_idx_type j = 0; j < nc; j++) |
| 3179 for (octave_idx_type i = 0; i < nr; i++) | |
| 1968 | 3180 { |
| 3181 Complex val = elem (i, j); | |
| 3182 | |
| 5315 | 3183 double r_val = std::real (val); |
| 3184 double i_val = std::imag (val); | |
| 1968 | 3185 |
| 3186 if (r_val > max_val) | |
| 3187 max_val = r_val; | |
| 3188 | |
| 3189 if (i_val > max_val) | |
| 3190 max_val = i_val; | |
| 3191 | |
| 3192 if (r_val < min_val) | |
| 3193 min_val = r_val; | |
| 3194 | |
| 3195 if (i_val < min_val) | |
| 3196 min_val = i_val; | |
| 3197 | |
| 3198 if (D_NINT (r_val) != r_val || D_NINT (i_val) != i_val) | |
| 2384 | 3199 return false; |
| 1968 | 3200 } |
| 2384 | 3201 |
| 3202 return true; | |
| 1968 | 3203 } |
| 3204 | |
| 2384 | 3205 bool |
| 1968 | 3206 ComplexMatrix::too_large_for_float (void) const |
| 3207 { | |
| 5275 | 3208 octave_idx_type nr = rows (); |
| 3209 octave_idx_type nc = cols (); | |
| 3210 | |
| 3211 for (octave_idx_type j = 0; j < nc; j++) | |
| 3212 for (octave_idx_type i = 0; i < nr; i++) | |
| 1968 | 3213 { |
| 3214 Complex val = elem (i, j); | |
| 3215 | |
| 5315 | 3216 double r_val = std::real (val); |
| 3217 double i_val = std::imag (val); | |
| 1968 | 3218 |
| 5389 | 3219 if ((! (xisnan (r_val) || xisinf (r_val)) |
| 5387 | 3220 && fabs (r_val) > FLT_MAX) |
| 5389 | 3221 || (! (xisnan (i_val) || xisinf (i_val)) |
| 5387 | 3222 && fabs (i_val) > FLT_MAX)) |
| 2384 | 3223 return true; |
| 1968 | 3224 } |
| 3225 | |
| 2384 | 3226 return false; |
| 1968 | 3227 } |
| 3228 | |
| 5775 | 3229 // FIXME Do these really belong here? Maybe they should be |
| 4015 | 3230 // in a base class? |
| 3231 | |
| 2832 | 3232 boolMatrix |
| 4015 | 3233 ComplexMatrix::all (int dim) const |
| 458 | 3234 { |
|
8743
1bd918cfb6e2
reimplement any & all using the new reduction code
Jaroslav Hajek <highegg@gmail.com>
parents:
8736
diff
changeset
|
3235 return do_mx_red_op<boolMatrix> (*this, dim, mx_inline_all); |
| 458 | 3236 } |
| 3237 | |
| 2832 | 3238 boolMatrix |
| 4015 | 3239 ComplexMatrix::any (int dim) const |
| 458 | 3240 { |
|
8743
1bd918cfb6e2
reimplement any & all using the new reduction code
Jaroslav Hajek <highegg@gmail.com>
parents:
8736
diff
changeset
|
3241 return do_mx_red_op<boolMatrix> (*this, dim, mx_inline_any); |
| 458 | 3242 } |
| 3243 | |
| 3244 ComplexMatrix | |
| 3723 | 3245 ComplexMatrix::cumprod (int dim) const |
| 458 | 3246 { |
|
8736
53b4fdeacc2e
improve reduction functions
Jaroslav Hajek <highegg@gmail.com>
parents:
8650
diff
changeset
|
3247 return do_mx_cum_op<ComplexMatrix> (*this, dim, mx_inline_cumprod); |
| 458 | 3248 } |
| 3249 | |
| 3250 ComplexMatrix | |
| 3723 | 3251 ComplexMatrix::cumsum (int dim) const |
| 458 | 3252 { |
|
8736
53b4fdeacc2e
improve reduction functions
Jaroslav Hajek <highegg@gmail.com>
parents:
8650
diff
changeset
|
3253 return do_mx_cum_op<ComplexMatrix> (*this, dim, mx_inline_cumsum); |
| 458 | 3254 } |
| 3255 | |
| 3256 ComplexMatrix | |
| 3723 | 3257 ComplexMatrix::prod (int dim) const |
| 458 | 3258 { |
|
8736
53b4fdeacc2e
improve reduction functions
Jaroslav Hajek <highegg@gmail.com>
parents:
8650
diff
changeset
|
3259 return do_mx_red_op<ComplexMatrix> (*this, dim, mx_inline_prod); |
| 458 | 3260 } |
| 3261 | |
| 3262 ComplexMatrix | |
| 3723 | 3263 ComplexMatrix::sum (int dim) const |
| 458 | 3264 { |
|
8736
53b4fdeacc2e
improve reduction functions
Jaroslav Hajek <highegg@gmail.com>
parents:
8650
diff
changeset
|
3265 return do_mx_red_op<ComplexMatrix> (*this, dim, mx_inline_sum); |
| 458 | 3266 } |
| 3267 | |
| 3268 ComplexMatrix | |
| 3723 | 3269 ComplexMatrix::sumsq (int dim) const |
| 458 | 3270 { |
|
8736
53b4fdeacc2e
improve reduction functions
Jaroslav Hajek <highegg@gmail.com>
parents:
8650
diff
changeset
|
3271 return do_mx_red_op<Matrix> (*this, dim, mx_inline_sumsq); |
| 458 | 3272 } |
| 3273 | |
| 4329 | 3274 Matrix ComplexMatrix::abs (void) const |
| 3275 { | |
|
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
|
3276 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
|
3277 rows (), cols ()); |
| 4329 | 3278 } |
| 3279 | |
|
7620
36594d5bbe13
Move diag function into the octave_value class
David Bateman <dbateman@free.fr>
parents:
7544
diff
changeset
|
3280 ComplexMatrix |
| 5275 | 3281 ComplexMatrix::diag (octave_idx_type k) const |
| 458 | 3282 { |
|
7620
36594d5bbe13
Move diag function into the octave_value class
David Bateman <dbateman@free.fr>
parents:
7544
diff
changeset
|
3283 return MArray2<Complex>::diag (k); |
| 458 | 3284 } |
| 3285 | |
| 2354 | 3286 bool |
| 5275 | 3287 ComplexMatrix::row_is_real_only (octave_idx_type i) const |
| 2354 | 3288 { |
| 3289 bool retval = true; | |
| 3290 | |
| 5275 | 3291 octave_idx_type nc = columns (); |
| 3292 | |
| 3293 for (octave_idx_type j = 0; j < nc; j++) | |
| 2354 | 3294 { |
| 5315 | 3295 if (std::imag (elem (i, j)) != 0.0) |
| 2354 | 3296 { |
| 3297 retval = false; | |
| 3298 break; | |
| 3299 } | |
| 3300 } | |
| 3301 | |
| 3302 return retval; | |
| 3303 } | |
| 3304 | |
| 3305 bool | |
| 5275 | 3306 ComplexMatrix::column_is_real_only (octave_idx_type j) const |
| 2354 | 3307 { |
| 3308 bool retval = true; | |
| 3309 | |
| 5275 | 3310 octave_idx_type nr = rows (); |
| 3311 | |
| 3312 for (octave_idx_type i = 0; i < nr; i++) | |
| 2354 | 3313 { |
| 5315 | 3314 if (std::imag (elem (i, j)) != 0.0) |
| 2354 | 3315 { |
| 3316 retval = false; | |
| 3317 break; | |
| 3318 } | |
| 3319 } | |
| 3320 | |
| 3321 return retval; | |
| 3322 } | |
| 891 | 3323 |
| 458 | 3324 ComplexColumnVector |
| 3325 ComplexMatrix::row_min (void) const | |
| 3326 { | |
| 5275 | 3327 Array<octave_idx_type> dummy_idx; |
| 4587 | 3328 return row_min (dummy_idx); |
| 458 | 3329 } |
| 3330 | |
| 3331 ComplexColumnVector | |
| 5275 | 3332 ComplexMatrix::row_min (Array<octave_idx_type>& idx_arg) const |
| 458 | 3333 { |
| 3334 ComplexColumnVector result; | |
| 3335 | |
| 5275 | 3336 octave_idx_type nr = rows (); |
| 3337 octave_idx_type nc = cols (); | |
| 458 | 3338 |
| 3339 if (nr > 0 && nc > 0) | |
| 3340 { | |
| 3341 result.resize (nr); | |
| 4587 | 3342 idx_arg.resize (nr); |
| 458 | 3343 |
| 5275 | 3344 for (octave_idx_type i = 0; i < nr; i++) |
| 458 | 3345 { |
| 2354 | 3346 bool real_only = row_is_real_only (i); |
| 3347 | |
| 5275 | 3348 octave_idx_type idx_j; |
| 4469 | 3349 |
| 3350 Complex tmp_min; | |
| 3351 | |
| 3352 double abs_min = octave_NaN; | |
| 3353 | |
| 3354 for (idx_j = 0; idx_j < nc; idx_j++) | |
| 3355 { | |
| 3356 tmp_min = elem (i, idx_j); | |
| 3357 | |
| 5389 | 3358 if (! xisnan (tmp_min)) |
| 4469 | 3359 { |
| 5315 | 3360 abs_min = real_only ? std::real (tmp_min) : std::abs (tmp_min); |
| 4469 | 3361 break; |
| 3362 } | |
| 3363 } | |
| 3364 | |
| 5275 | 3365 for (octave_idx_type j = idx_j+1; j < nc; j++) |
| 4469 | 3366 { |
| 3367 Complex tmp = elem (i, j); | |
| 3368 | |
| 5389 | 3369 if (xisnan (tmp)) |
| 4469 | 3370 continue; |
| 3371 | |
| 5315 | 3372 double abs_tmp = real_only ? std::real (tmp) : std::abs (tmp); |
| 4469 | 3373 |
| 3374 if (abs_tmp < abs_min) | |
| 3375 { | |
| 3376 idx_j = j; | |
| 3377 tmp_min = tmp; | |
| 3378 abs_min = abs_tmp; | |
| 3379 } | |
| 3380 } | |
| 3381 | |
| 5389 | 3382 if (xisnan (tmp_min)) |
| 4469 | 3383 { |
| 3384 result.elem (i) = Complex_NaN_result; | |
| 4587 | 3385 idx_arg.elem (i) = 0; |
| 4469 | 3386 } |
| 891 | 3387 else |
| 3388 { | |
| 4469 | 3389 result.elem (i) = tmp_min; |
| 4587 | 3390 idx_arg.elem (i) = idx_j; |
| 891 | 3391 } |
| 458 | 3392 } |
| 3393 } | |
| 3394 | |
| 3395 return result; | |
| 3396 } | |
| 3397 | |
| 3398 ComplexColumnVector | |
| 3399 ComplexMatrix::row_max (void) const | |
| 3400 { | |
| 5275 | 3401 Array<octave_idx_type> dummy_idx; |
| 4587 | 3402 return row_max (dummy_idx); |
| 458 | 3403 } |
| 3404 | |
| 3405 ComplexColumnVector | |
| 5275 | 3406 ComplexMatrix::row_max (Array<octave_idx_type>& idx_arg) const |
| 458 | 3407 { |
| 3408 ComplexColumnVector result; | |
| 3409 | |
| 5275 | 3410 octave_idx_type nr = rows (); |
| 3411 octave_idx_type nc = cols (); | |
| 458 | 3412 |
| 3413 if (nr > 0 && nc > 0) | |
| 3414 { | |
| 3415 result.resize (nr); | |
| 4587 | 3416 idx_arg.resize (nr); |
| 458 | 3417 |
| 5275 | 3418 for (octave_idx_type i = 0; i < nr; i++) |
| 458 | 3419 { |
| 2354 | 3420 bool real_only = row_is_real_only (i); |
| 3421 | |
| 5275 | 3422 octave_idx_type idx_j; |
| 4469 | 3423 |
| 3424 Complex tmp_max; | |
| 3425 | |
| 3426 double abs_max = octave_NaN; | |
| 3427 | |
| 3428 for (idx_j = 0; idx_j < nc; idx_j++) | |
| 3429 { | |
| 3430 tmp_max = elem (i, idx_j); | |
| 3431 | |
| 5389 | 3432 if (! xisnan (tmp_max)) |
| 4469 | 3433 { |
| 5315 | 3434 abs_max = real_only ? std::real (tmp_max) : std::abs (tmp_max); |
| 4469 | 3435 break; |
| 3436 } | |
| 3437 } | |
| 3438 | |
| 5275 | 3439 for (octave_idx_type j = idx_j+1; j < nc; j++) |
| 4469 | 3440 { |
| 3441 Complex tmp = elem (i, j); | |
| 3442 | |
| 5389 | 3443 if (xisnan (tmp)) |
| 4469 | 3444 continue; |
| 3445 | |
| 5315 | 3446 double abs_tmp = real_only ? std::real (tmp) : std::abs (tmp); |
| 4469 | 3447 |
| 3448 if (abs_tmp > abs_max) | |
| 3449 { | |
| 3450 idx_j = j; | |
| 3451 tmp_max = tmp; | |
| 3452 abs_max = abs_tmp; | |
| 3453 } | |
| 3454 } | |
| 3455 | |
| 5389 | 3456 if (xisnan (tmp_max)) |
| 4469 | 3457 { |
| 3458 result.elem (i) = Complex_NaN_result; | |
| 4587 | 3459 idx_arg.elem (i) = 0; |
| 4469 | 3460 } |
| 891 | 3461 else |
| 3462 { | |
| 4469 | 3463 result.elem (i) = tmp_max; |
| 4587 | 3464 idx_arg.elem (i) = idx_j; |
| 891 | 3465 } |
| 458 | 3466 } |
| 3467 } | |
| 3468 | |
| 3469 return result; | |
| 3470 } | |
| 3471 | |
| 3472 ComplexRowVector | |
| 3473 ComplexMatrix::column_min (void) const | |
| 3474 { | |
| 5275 | 3475 Array<octave_idx_type> dummy_idx; |
| 4587 | 3476 return column_min (dummy_idx); |
| 458 | 3477 } |
| 3478 | |
| 3479 ComplexRowVector | |
| 5275 | 3480 ComplexMatrix::column_min (Array<octave_idx_type>& idx_arg) const |
| 458 | 3481 { |
| 3482 ComplexRowVector result; | |
| 3483 | |
| 5275 | 3484 octave_idx_type nr = rows (); |
| 3485 octave_idx_type nc = cols (); | |
| 458 | 3486 |
| 3487 if (nr > 0 && nc > 0) | |
| 3488 { | |
| 3489 result.resize (nc); | |
| 4587 | 3490 idx_arg.resize (nc); |
| 458 | 3491 |
| 5275 | 3492 for (octave_idx_type j = 0; j < nc; j++) |
| 458 | 3493 { |
| 2354 | 3494 bool real_only = column_is_real_only (j); |
| 3495 | |
| 5275 | 3496 octave_idx_type idx_i; |
| 4469 | 3497 |
| 3498 Complex tmp_min; | |
| 3499 | |
| 3500 double abs_min = octave_NaN; | |
| 3501 | |
| 3502 for (idx_i = 0; idx_i < nr; idx_i++) | |
| 3503 { | |
| 3504 tmp_min = elem (idx_i, j); | |
| 3505 | |
| 5389 | 3506 if (! xisnan (tmp_min)) |
| 4469 | 3507 { |
| 5315 | 3508 abs_min = real_only ? std::real (tmp_min) : std::abs (tmp_min); |
| 4469 | 3509 break; |
| 3510 } | |
| 3511 } | |
| 3512 | |
| 5275 | 3513 for (octave_idx_type i = idx_i+1; i < nr; i++) |
| 4469 | 3514 { |
| 3515 Complex tmp = elem (i, j); | |
| 3516 | |
| 5389 | 3517 if (xisnan (tmp)) |
| 4469 | 3518 continue; |
| 3519 | |
| 5315 | 3520 double abs_tmp = real_only ? std::real (tmp) : std::abs (tmp); |
| 4469 | 3521 |
| 3522 if (abs_tmp < abs_min) | |
| 3523 { | |
| 3524 idx_i = i; | |
| 3525 tmp_min = tmp; | |
| 3526 abs_min = abs_tmp; | |
| 3527 } | |
| 3528 } | |
| 3529 | |
| 5389 | 3530 if (xisnan (tmp_min)) |
| 4469 | 3531 { |
| 3532 result.elem (j) = Complex_NaN_result; | |
| 4587 | 3533 idx_arg.elem (j) = 0; |
| 4469 | 3534 } |
| 891 | 3535 else |
| 3536 { | |
| 4469 | 3537 result.elem (j) = tmp_min; |
| 4587 | 3538 idx_arg.elem (j) = idx_i; |
| 891 | 3539 } |
| 458 | 3540 } |
| 3541 } | |
| 3542 | |
| 3543 return result; | |
| 3544 } | |
| 3545 | |
| 3546 ComplexRowVector | |
| 3547 ComplexMatrix::column_max (void) const | |
| 3548 { | |
| 5275 | 3549 Array<octave_idx_type> dummy_idx; |
| 4587 | 3550 return column_max (dummy_idx); |
| 458 | 3551 } |
| 3552 | |
| 3553 ComplexRowVector | |
| 5275 | 3554 ComplexMatrix::column_max (Array<octave_idx_type>& idx_arg) const |
| 458 | 3555 { |
| 3556 ComplexRowVector result; | |
| 3557 | |
| 5275 | 3558 octave_idx_type nr = rows (); |
| 3559 octave_idx_type nc = cols (); | |
| 458 | 3560 |
| 3561 if (nr > 0 && nc > 0) | |
| 3562 { | |
| 3563 result.resize (nc); | |
| 4587 | 3564 idx_arg.resize (nc); |
| 458 | 3565 |
| 5275 | 3566 for (octave_idx_type j = 0; j < nc; j++) |
| 458 | 3567 { |
| 2354 | 3568 bool real_only = column_is_real_only (j); |
| 3569 | |
| 5275 | 3570 octave_idx_type idx_i; |
| 4469 | 3571 |
| 3572 Complex tmp_max; | |
| 3573 | |
| 3574 double abs_max = octave_NaN; | |
| 3575 | |
| 3576 for (idx_i = 0; idx_i < nr; idx_i++) | |
| 3577 { | |
| 3578 tmp_max = elem (idx_i, j); | |
| 3579 | |
| 5389 | 3580 if (! xisnan (tmp_max)) |
| 4469 | 3581 { |
| 5315 | 3582 abs_max = real_only ? std::real (tmp_max) : std::abs (tmp_max); |
| 4469 | 3583 break; |
| 3584 } | |
| 3585 } | |
| 3586 | |
| 5275 | 3587 for (octave_idx_type i = idx_i+1; i < nr; i++) |
| 4469 | 3588 { |
| 3589 Complex tmp = elem (i, j); | |
| 3590 | |
| 5389 | 3591 if (xisnan (tmp)) |
| 4469 | 3592 continue; |
| 3593 | |
| 5315 | 3594 double abs_tmp = real_only ? std::real (tmp) : std::abs (tmp); |
| 4469 | 3595 |
| 3596 if (abs_tmp > abs_max) | |
| 3597 { | |
| 3598 idx_i = i; | |
| 3599 tmp_max = tmp; | |
| 3600 abs_max = abs_tmp; | |
| 3601 } | |
| 3602 } | |
| 3603 | |
| 5389 | 3604 if (xisnan (tmp_max)) |
| 4469 | 3605 { |
| 3606 result.elem (j) = Complex_NaN_result; | |
| 4587 | 3607 idx_arg.elem (j) = 0; |
| 4469 | 3608 } |
| 891 | 3609 else |
| 3610 { | |
| 4469 | 3611 result.elem (j) = tmp_max; |
| 4587 | 3612 idx_arg.elem (j) = idx_i; |
| 891 | 3613 } |
| 458 | 3614 } |
| 3615 } | |
| 3616 | |
| 3617 return result; | |
| 3618 } | |
| 3619 | |
| 3620 // i/o | |
| 3621 | |
| 3504 | 3622 std::ostream& |
| 3623 operator << (std::ostream& os, const ComplexMatrix& a) | |
| 458 | 3624 { |
| 5275 | 3625 for (octave_idx_type i = 0; i < a.rows (); i++) |
| 458 | 3626 { |
| 5275 | 3627 for (octave_idx_type j = 0; j < a.cols (); j++) |
| 4130 | 3628 { |
| 3629 os << " "; | |
| 3630 octave_write_complex (os, a.elem (i, j)); | |
| 3631 } | |
| 458 | 3632 os << "\n"; |
| 3633 } | |
| 3634 return os; | |
| 3635 } | |
| 3636 | |
| 3504 | 3637 std::istream& |
| 3638 operator >> (std::istream& is, ComplexMatrix& a) | |
| 458 | 3639 { |
| 5275 | 3640 octave_idx_type nr = a.rows (); |
| 3641 octave_idx_type nc = a.cols (); | |
| 458 | 3642 |
| 3643 if (nr < 1 || nc < 1) | |
| 3504 | 3644 is.clear (std::ios::badbit); |
| 458 | 3645 else |
| 3646 { | |
| 3647 Complex tmp; | |
| 5275 | 3648 for (octave_idx_type i = 0; i < nr; i++) |
| 3649 for (octave_idx_type j = 0; j < nc; j++) | |
| 458 | 3650 { |
| 4130 | 3651 tmp = octave_read_complex (is); |
| 458 | 3652 if (is) |
| 3653 a.elem (i, j) = tmp; | |
| 3654 else | |
| 2993 | 3655 goto done; |
| 458 | 3656 } |
| 3657 } | |
| 3658 | |
| 2993 | 3659 done: |
| 3660 | |
| 458 | 3661 return is; |
| 3662 } | |
| 3663 | |
| 1819 | 3664 ComplexMatrix |
| 3665 Givens (const Complex& x, const Complex& y) | |
| 3666 { | |
| 3667 double cc; | |
| 3668 Complex cs, temp_r; | |
| 3669 | |
| 3887 | 3670 F77_FUNC (zlartg, ZLARTG) (x, y, cc, cs, temp_r); |
| 1819 | 3671 |
| 3672 ComplexMatrix g (2, 2); | |
| 3673 | |
| 3674 g.elem (0, 0) = cc; | |
| 3675 g.elem (1, 1) = cc; | |
| 3676 g.elem (0, 1) = cs; | |
| 3677 g.elem (1, 0) = -conj (cs); | |
| 3678 | |
| 3679 return g; | |
| 3680 } | |
| 3681 | |
| 3682 ComplexMatrix | |
| 3683 Sylvester (const ComplexMatrix& a, const ComplexMatrix& b, | |
| 3684 const ComplexMatrix& c) | |
| 3685 { | |
| 3686 ComplexMatrix retval; | |
| 3687 | |
| 5775 | 3688 // FIXME -- need to check that a, b, and c are all the same |
| 1819 | 3689 // size. |
| 3690 | |
| 3691 // Compute Schur decompositions | |
| 3692 | |
| 3693 ComplexSCHUR as (a, "U"); | |
| 3694 ComplexSCHUR bs (b, "U"); | |
| 3695 | |
| 3696 // Transform c to new coordinates. | |
| 3697 | |
| 3698 ComplexMatrix ua = as.unitary_matrix (); | |
| 3699 ComplexMatrix sch_a = as.schur_matrix (); | |
| 3700 | |
| 3701 ComplexMatrix ub = bs.unitary_matrix (); | |
| 3702 ComplexMatrix sch_b = bs.schur_matrix (); | |
| 3703 | |
| 3704 ComplexMatrix cx = ua.hermitian () * c * ub; | |
| 3705 | |
| 3706 // Solve the sylvester equation, back-transform, and return the | |
| 3707 // solution. | |
| 3708 | |
| 5275 | 3709 octave_idx_type a_nr = a.rows (); |
| 3710 octave_idx_type b_nr = b.rows (); | |
| 1819 | 3711 |
| 3712 double scale; | |
| 5275 | 3713 octave_idx_type info; |
| 1950 | 3714 |
| 3715 Complex *pa = sch_a.fortran_vec (); | |
| 3716 Complex *pb = sch_b.fortran_vec (); | |
| 3717 Complex *px = cx.fortran_vec (); | |
| 1819 | 3718 |
| 4552 | 3719 F77_XFCN (ztrsyl, ZTRSYL, (F77_CONST_CHAR_ARG2 ("N", 1), |
| 3720 F77_CONST_CHAR_ARG2 ("N", 1), | |
| 3721 1, a_nr, b_nr, pa, a_nr, pb, | |
| 3722 b_nr, px, a_nr, scale, info | |
| 3723 F77_CHAR_ARG_LEN (1) | |
| 3724 F77_CHAR_ARG_LEN (1))); | |
| 1950 | 3725 |
|
7482
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
3726 // FIXME -- check info? |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
3727 |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
3728 retval = -ua * cx * ub.hermitian (); |
| 1819 | 3729 |
| 3730 return retval; | |
| 3731 } | |
| 3732 | |
| 2828 | 3733 ComplexMatrix |
| 3734 operator * (const ComplexMatrix& m, const Matrix& a) | |
| 3735 { | |
| 3736 ComplexMatrix tmp (a); | |
| 3737 return m * tmp; | |
| 3738 } | |
| 3739 | |
| 3740 ComplexMatrix | |
| 3741 operator * (const Matrix& m, const ComplexMatrix& a) | |
| 3742 { | |
| 3743 ComplexMatrix tmp (m); | |
| 3744 return tmp * a; | |
| 3745 } | |
| 3746 | |
| 6162 | 3747 /* Simple Dot Product, Matrix-Vector and Matrix-Matrix Unit tests |
| 3748 %!assert([1+i 2+i 3+i] * [ 4+i ; 5+i ; 6+i], 29+21i, 1e-14) | |
| 3749 %!assert([1+i 2+i ; 3+i 4+i ] * [5+i ; 6+i], [15 + 14i ; 37 + 18i], 1e-14) | |
| 3750 %!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) | |
| 3751 */ | |
| 3752 | |
| 3753 /* Test some simple identities | |
| 3754 %!shared M, cv, rv | |
| 3755 %! M = randn(10,10)+i*rand(10,10); | |
| 3756 %! cv = randn(10,1)+i*rand(10,1); | |
| 3757 %! rv = randn(1,10)+i*rand(1,10); | |
| 3758 %!assert([M*cv,M*cv],M*[cv,cv],1e-14) | |
| 3759 %!assert([rv*M;rv*M],[rv;rv]*M,1e-14) | |
| 3760 %!assert(2*rv*cv,[rv,rv]*[cv;cv],1e-14) | |
| 3761 */ | |
| 3762 | |
|
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
|
3763 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
|
3764 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
|
3765 { |
|
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 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
|
3767 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
|
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 |
|
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 // 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
|
3771 |
| 2828 | 3772 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
|
3773 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
|
3774 bool transb, bool conjb, const ComplexMatrix& b) |
| 2828 | 3775 { |
| 3776 ComplexMatrix retval; | |
| 3777 | |
|
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
|
3778 // 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
|
3779 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
|
3780 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
|
3781 |
|
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_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
|
3783 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
|
3784 |
|
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_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
|
3786 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
|
3787 |
|
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 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
|
3789 gripe_nonconformant ("operator *", a_nr, a_nc, b_nr, b_nc); |
| 2828 | 3790 else |
| 3791 { | |
|
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
|
3792 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
|
3793 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
|
3794 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
|
3795 { |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3796 octave_idx_type lda = a.rows (); |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3797 |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3798 retval.resize (a_nr, b_nc); |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3799 Complex *c = retval.fortran_vec (); |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3800 |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3801 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
|
3802 if (conja || conjb) |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3803 { |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3804 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
|
3805 F77_CONST_CHAR_ARG2 (ctransa, 1), |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3806 a_nr, a_nc, 1.0, |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3807 a.data (), lda, 0.0, c, a_nr |
|
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 F77_CHAR_ARG_LEN (1))); |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3810 for (int j = 0; j < a_nr; j++) |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3811 for (int i = 0; i < j; i++) |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3812 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
|
3813 } |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3814 else |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3815 { |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3816 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
|
3817 F77_CONST_CHAR_ARG2 (ctransa, 1), |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3818 a_nr, a_nc, 1.0, |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3819 a.data (), lda, 0.0, c, a_nr |
|
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 F77_CHAR_ARG_LEN (1))); |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3822 for (int j = 0; j < a_nr; j++) |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3823 for (int i = 0; i < j; i++) |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3824 retval.xelem (j,i) = retval.xelem (i,j); |
|
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 |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3828 } |
| 2828 | 3829 else |
| 3830 { | |
|
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
|
3831 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
|
3832 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
|
3833 |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3834 retval.resize (a_nr, b_nc); |
| 2828 | 3835 Complex *c = retval.fortran_vec (); |
| 3836 | |
|
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
|
3837 if (b_nc == 1 && a_nr == 1) |
| 5983 | 3838 { |
|
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
|
3839 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
|
3840 { |
|
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 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
|
3842 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
|
3843 } |
|
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 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
|
3845 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
|
3846 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
|
3847 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
|
3848 } |
|
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 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
|
3850 { |
|
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 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
|
3852 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
|
3853 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
|
3854 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
|
3855 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
|
3856 } |
|
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 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
|
3858 { |
|
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 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
|
3860 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
|
3861 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
|
3862 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
|
3863 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
|
3864 } |
| 5983 | 3865 else |
| 6390 | 3866 { |
|
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
|
3867 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
|
3868 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
|
3869 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
|
3870 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
|
3871 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
|
3872 lda, b.data (), ldb, 0.0, c, a_nr |
| 6390 | 3873 F77_CHAR_ARG_LEN (1) |
| 3874 F77_CHAR_ARG_LEN (1))); | |
| 3875 } | |
| 2828 | 3876 } |
| 3877 } | |
| 3878 | |
| 3879 return retval; | |
| 3880 } | |
| 3881 | |
|
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
|
3882 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
|
3883 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
|
3884 { |
|
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 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
|
3886 } |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3887 |
| 5775 | 3888 // FIXME -- it would be nice to share code among the min/max |
| 4309 | 3889 // functions below. |
| 3890 | |
| 3891 #define EMPTY_RETURN_CHECK(T) \ | |
| 3892 if (nr == 0 || nc == 0) \ | |
| 3893 return T (nr, nc); | |
| 3894 | |
| 3895 ComplexMatrix | |
| 3896 min (const Complex& c, const ComplexMatrix& m) | |
| 3897 { | |
| 5275 | 3898 octave_idx_type nr = m.rows (); |
| 3899 octave_idx_type nc = m.columns (); | |
| 4309 | 3900 |
| 3901 EMPTY_RETURN_CHECK (ComplexMatrix); | |
| 3902 | |
| 3903 ComplexMatrix result (nr, nc); | |
| 3904 | |
| 5275 | 3905 for (octave_idx_type j = 0; j < nc; j++) |
| 3906 for (octave_idx_type i = 0; i < nr; i++) | |
| 4309 | 3907 { |
| 3908 OCTAVE_QUIT; | |
| 3909 result (i, j) = xmin (c, m (i, j)); | |
| 3910 } | |
| 3911 | |
| 3912 return result; | |
| 3913 } | |
| 3914 | |
| 3915 ComplexMatrix | |
| 3916 min (const ComplexMatrix& m, const Complex& c) | |
| 3917 { | |
| 5275 | 3918 octave_idx_type nr = m.rows (); |
| 3919 octave_idx_type nc = m.columns (); | |
| 4309 | 3920 |
| 3921 EMPTY_RETURN_CHECK (ComplexMatrix); | |
| 3922 | |
| 3923 ComplexMatrix result (nr, nc); | |
| 3924 | |
| 5275 | 3925 for (octave_idx_type j = 0; j < nc; j++) |
| 3926 for (octave_idx_type i = 0; i < nr; i++) | |
| 4309 | 3927 { |
| 3928 OCTAVE_QUIT; | |
| 3929 result (i, j) = xmin (m (i, j), c); | |
| 3930 } | |
| 3931 | |
| 3932 return result; | |
| 3933 } | |
| 3934 | |
| 3935 ComplexMatrix | |
| 3936 min (const ComplexMatrix& a, const ComplexMatrix& b) | |
| 3937 { | |
| 5275 | 3938 octave_idx_type nr = a.rows (); |
| 3939 octave_idx_type nc = a.columns (); | |
| 4309 | 3940 |
| 3941 if (nr != b.rows () || nc != b.columns ()) | |
| 3942 { | |
| 3943 (*current_liboctave_error_handler) | |
| 3944 ("two-arg min expecting args of same size"); | |
| 3945 return ComplexMatrix (); | |
| 3946 } | |
| 3947 | |
| 3948 EMPTY_RETURN_CHECK (ComplexMatrix); | |
| 3949 | |
| 3950 ComplexMatrix result (nr, nc); | |
| 3951 | |
| 5275 | 3952 for (octave_idx_type j = 0; j < nc; j++) |
| 4309 | 3953 { |
| 3954 int columns_are_real_only = 1; | |
| 5275 | 3955 for (octave_idx_type i = 0; i < nr; i++) |
| 4309 | 3956 { |
| 3957 OCTAVE_QUIT; | |
| 5315 | 3958 if (std::imag (a (i, j)) != 0.0 || std::imag (b (i, j)) != 0.0) |
| 4309 | 3959 { |
| 3960 columns_are_real_only = 0; | |
| 3961 break; | |
| 3962 } | |
| 3963 } | |
| 3964 | |
| 3965 if (columns_are_real_only) | |
| 3966 { | |
| 5275 | 3967 for (octave_idx_type i = 0; i < nr; i++) |
| 5315 | 3968 result (i, j) = xmin (std::real (a (i, j)), std::real (b (i, j))); |
| 4309 | 3969 } |
| 3970 else | |
| 3971 { | |
| 5275 | 3972 for (octave_idx_type i = 0; i < nr; i++) |
| 4309 | 3973 { |
| 3974 OCTAVE_QUIT; | |
| 3975 result (i, j) = xmin (a (i, j), b (i, j)); | |
| 3976 } | |
| 3977 } | |
| 3978 } | |
| 3979 | |
| 3980 return result; | |
| 3981 } | |
| 3982 | |
| 3983 ComplexMatrix | |
| 3984 max (const Complex& c, const ComplexMatrix& m) | |
| 3985 { | |
| 5275 | 3986 octave_idx_type nr = m.rows (); |
| 3987 octave_idx_type nc = m.columns (); | |
| 4309 | 3988 |
| 3989 EMPTY_RETURN_CHECK (ComplexMatrix); | |
| 3990 | |
| 3991 ComplexMatrix result (nr, nc); | |
| 3992 | |
| 5275 | 3993 for (octave_idx_type j = 0; j < nc; j++) |
| 3994 for (octave_idx_type i = 0; i < nr; i++) | |
| 4309 | 3995 { |
| 3996 OCTAVE_QUIT; | |
| 3997 result (i, j) = xmax (c, m (i, j)); | |
| 3998 } | |
| 3999 | |
| 4000 return result; | |
| 4001 } | |
| 4002 | |
| 4003 ComplexMatrix | |
| 4004 max (const ComplexMatrix& m, const Complex& c) | |
| 4005 { | |
| 5275 | 4006 octave_idx_type nr = m.rows (); |
| 4007 octave_idx_type nc = m.columns (); | |
| 4309 | 4008 |
| 4009 EMPTY_RETURN_CHECK (ComplexMatrix); | |
| 4010 | |
| 4011 ComplexMatrix result (nr, nc); | |
| 4012 | |
| 5275 | 4013 for (octave_idx_type j = 0; j < nc; j++) |
| 4014 for (octave_idx_type i = 0; i < nr; i++) | |
| 4309 | 4015 { |
| 4016 OCTAVE_QUIT; | |
| 4017 result (i, j) = xmax (m (i, j), c); | |
| 4018 } | |
| 4019 | |
| 4020 return result; | |
| 4021 } | |
| 4022 | |
| 4023 ComplexMatrix | |
| 4024 max (const ComplexMatrix& a, const ComplexMatrix& b) | |
| 4025 { | |
| 5275 | 4026 octave_idx_type nr = a.rows (); |
| 4027 octave_idx_type nc = a.columns (); | |
| 4309 | 4028 |
| 4029 if (nr != b.rows () || nc != b.columns ()) | |
| 4030 { | |
| 4031 (*current_liboctave_error_handler) | |
| 4032 ("two-arg max expecting args of same size"); | |
| 4033 return ComplexMatrix (); | |
| 4034 } | |
| 4035 | |
| 4036 EMPTY_RETURN_CHECK (ComplexMatrix); | |
| 4037 | |
| 4038 ComplexMatrix result (nr, nc); | |
| 4039 | |
| 5275 | 4040 for (octave_idx_type j = 0; j < nc; j++) |
| 4309 | 4041 { |
| 4042 int columns_are_real_only = 1; | |
| 5275 | 4043 for (octave_idx_type i = 0; i < nr; i++) |
| 4309 | 4044 { |
| 4045 OCTAVE_QUIT; | |
| 5315 | 4046 if (std::imag (a (i, j)) != 0.0 || std::imag (b (i, j)) != 0.0) |
| 4309 | 4047 { |
| 4048 columns_are_real_only = 0; | |
| 4049 break; | |
| 4050 } | |
| 4051 } | |
| 4052 | |
| 4053 if (columns_are_real_only) | |
| 4054 { | |
| 5275 | 4055 for (octave_idx_type i = 0; i < nr; i++) |
| 4309 | 4056 { |
| 4057 OCTAVE_QUIT; | |
| 5315 | 4058 result (i, j) = xmax (std::real (a (i, j)), std::real (b (i, j))); |
| 4309 | 4059 } |
| 4060 } | |
| 4061 else | |
| 4062 { | |
| 5275 | 4063 for (octave_idx_type i = 0; i < nr; i++) |
| 4309 | 4064 { |
| 4065 OCTAVE_QUIT; | |
| 4066 result (i, j) = xmax (a (i, j), b (i, j)); | |
| 4067 } | |
| 4068 } | |
| 4069 } | |
| 4070 | |
| 4071 return result; | |
| 4072 } | |
| 4073 | |
| 5315 | 4074 MS_CMP_OPS(ComplexMatrix, std::real, Complex, std::real) |
| 3504 | 4075 MS_BOOL_OPS(ComplexMatrix, Complex, 0.0) |
| 2870 | 4076 |
| 5315 | 4077 SM_CMP_OPS(Complex, std::real, ComplexMatrix, std::real) |
| 3504 | 4078 SM_BOOL_OPS(Complex, ComplexMatrix, 0.0) |
| 2870 | 4079 |
| 5315 | 4080 MM_CMP_OPS(ComplexMatrix, std::real, ComplexMatrix, std::real) |
| 3504 | 4081 MM_BOOL_OPS(ComplexMatrix, ComplexMatrix, 0.0) |
| 2870 | 4082 |
| 458 | 4083 /* |
| 4084 ;;; Local Variables: *** | |
| 4085 ;;; mode: C++ *** | |
| 4086 ;;; End: *** | |
| 4087 */ |