Mercurial > octave-nkf
annotate liboctave/CMatrix.cc @ 9578:7dafdb8b062f
refactor comparison ops implementations
| author | Jaroslav Hajek <highegg@gmail.com> |
|---|---|
| date | Thu, 27 Aug 2009 11:19:33 +0200 |
| parents | 0c72d9284087 |
| children | a9b37bae1802 |
| 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" |
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43 #include "CmplxCHOL.h" |
| 1819 | 44 #include "CmplxSCHUR.h" |
| 740 | 45 #include "CmplxSVD.h" |
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46 #include "DET.h" |
| 1847 | 47 #include "f77-fcn.h" |
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48 #include "functor.h" |
| 458 | 49 #include "lo-error.h" |
| 2354 | 50 #include "lo-ieee.h" |
| 51 #include "lo-mappers.h" | |
| 1968 | 52 #include "lo-utils.h" |
| 1367 | 53 #include "mx-base.h" |
| 2828 | 54 #include "mx-cm-dm.h" |
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55 #include "mx-cm-s.h" |
| 3176 | 56 #include "mx-dm-cm.h" |
| 1367 | 57 #include "mx-inlines.cc" |
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58 #include "mx-op-defs.h" |
| 1650 | 59 #include "oct-cmplx.h" |
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60 #include "oct-fftw.h" |
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61 #include "oct-locbuf.h" |
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62 #include "oct-norm.h" |
| 458 | 63 |
| 64 // Fortran functions we call. | |
| 65 | |
| 66 extern "C" | |
| 67 { | |
| 7477 | 68 F77_RET_T |
| 69 F77_FUNC (xilaenv, XILAENV) (const octave_idx_type&, F77_CONST_CHAR_ARG_DECL, | |
| 70 F77_CONST_CHAR_ARG_DECL, | |
| 71 const octave_idx_type&, const octave_idx_type&, | |
| 7478 | 72 const octave_idx_type&, const octave_idx_type&, |
| 73 octave_idx_type& | |
| 74 F77_CHAR_ARG_LEN_DECL F77_CHAR_ARG_LEN_DECL); | |
| 7476 | 75 |
| 4552 | 76 F77_RET_T |
| 77 F77_FUNC (zgebal, ZGEBAL) (F77_CONST_CHAR_ARG_DECL, | |
| 5275 | 78 const octave_idx_type&, Complex*, const octave_idx_type&, octave_idx_type&, |
| 79 octave_idx_type&, double*, octave_idx_type& | |
| 4552 | 80 F77_CHAR_ARG_LEN_DECL); |
| 81 | |
| 82 F77_RET_T | |
| 83 F77_FUNC (dgebak, DGEBAK) (F77_CONST_CHAR_ARG_DECL, | |
| 84 F77_CONST_CHAR_ARG_DECL, | |
| 5275 | 85 const octave_idx_type&, const octave_idx_type&, const octave_idx_type&, double*, |
| 86 const octave_idx_type&, double*, const octave_idx_type&, octave_idx_type& | |
| 4552 | 87 F77_CHAR_ARG_LEN_DECL |
| 88 F77_CHAR_ARG_LEN_DECL); | |
| 89 | |
| 90 F77_RET_T | |
| 91 F77_FUNC (zgemm, ZGEMM) (F77_CONST_CHAR_ARG_DECL, | |
| 92 F77_CONST_CHAR_ARG_DECL, | |
| 5275 | 93 const octave_idx_type&, const octave_idx_type&, const octave_idx_type&, |
| 94 const Complex&, const Complex*, const octave_idx_type&, | |
| 95 const Complex*, const octave_idx_type&, const Complex&, | |
| 96 Complex*, const octave_idx_type& | |
| 4552 | 97 F77_CHAR_ARG_LEN_DECL |
| 98 F77_CHAR_ARG_LEN_DECL); | |
| 99 | |
| 100 F77_RET_T | |
| 5983 | 101 F77_FUNC (zgemv, ZGEMV) (F77_CONST_CHAR_ARG_DECL, |
| 102 const octave_idx_type&, const octave_idx_type&, const Complex&, | |
| 103 const Complex*, const octave_idx_type&, const Complex*, | |
| 104 const octave_idx_type&, const Complex&, Complex*, const octave_idx_type& | |
| 105 F77_CHAR_ARG_LEN_DECL); | |
| 106 | |
| 107 F77_RET_T | |
| 108 F77_FUNC (xzdotu, XZDOTU) (const octave_idx_type&, const Complex*, const octave_idx_type&, | |
| 109 const Complex*, const octave_idx_type&, Complex&); | |
| 110 | |
| 111 F77_RET_T | |
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112 F77_FUNC (xzdotc, XZDOTC) (const octave_idx_type&, const Complex*, const octave_idx_type&, |
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113 const Complex*, const octave_idx_type&, Complex&); |
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114 |
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115 F77_RET_T |
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116 F77_FUNC (zsyrk, ZSYRK) (F77_CONST_CHAR_ARG_DECL, |
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117 F77_CONST_CHAR_ARG_DECL, |
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118 const octave_idx_type&, const octave_idx_type&, |
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119 const Complex&, const Complex*, const octave_idx_type&, |
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120 const Complex&, Complex*, const octave_idx_type& |
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121 F77_CHAR_ARG_LEN_DECL |
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122 F77_CHAR_ARG_LEN_DECL); |
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123 |
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124 F77_RET_T |
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125 F77_FUNC (zherk, ZHERK) (F77_CONST_CHAR_ARG_DECL, |
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126 F77_CONST_CHAR_ARG_DECL, |
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127 const octave_idx_type&, const octave_idx_type&, |
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128 const Complex&, const Complex*, const octave_idx_type&, |
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129 const Complex&, Complex*, const octave_idx_type& |
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130 F77_CHAR_ARG_LEN_DECL |
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131 F77_CHAR_ARG_LEN_DECL); |
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132 |
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133 F77_RET_T |
| 5275 | 134 F77_FUNC (zgetrf, ZGETRF) (const octave_idx_type&, const octave_idx_type&, Complex*, const octave_idx_type&, |
| 135 octave_idx_type*, octave_idx_type&); | |
| 4552 | 136 |
| 137 F77_RET_T | |
| 138 F77_FUNC (zgetrs, ZGETRS) (F77_CONST_CHAR_ARG_DECL, | |
| 5275 | 139 const octave_idx_type&, const octave_idx_type&, Complex*, const octave_idx_type&, |
| 140 const octave_idx_type*, Complex*, const octave_idx_type&, octave_idx_type& | |
| 4552 | 141 F77_CHAR_ARG_LEN_DECL); |
| 142 | |
| 143 F77_RET_T | |
| 5275 | 144 F77_FUNC (zgetri, ZGETRI) (const octave_idx_type&, Complex*, const octave_idx_type&, const octave_idx_type*, |
| 145 Complex*, const octave_idx_type&, octave_idx_type&); | |
| 4552 | 146 |
| 147 F77_RET_T | |
| 148 F77_FUNC (zgecon, ZGECON) (F77_CONST_CHAR_ARG_DECL, | |
| 5275 | 149 const octave_idx_type&, Complex*, |
| 150 const octave_idx_type&, const double&, double&, | |
| 151 Complex*, double*, octave_idx_type& | |
| 4552 | 152 F77_CHAR_ARG_LEN_DECL); |
| 153 | |
| 154 F77_RET_T | |
| 7072 | 155 F77_FUNC (zgelsy, ZGELSY) (const octave_idx_type&, const octave_idx_type&, const octave_idx_type&, |
| 156 Complex*, const octave_idx_type&, Complex*, | |
| 157 const octave_idx_type&, octave_idx_type*, double&, octave_idx_type&, | |
| 158 Complex*, const octave_idx_type&, double*, octave_idx_type&); | |
| 159 | |
| 160 F77_RET_T | |
| 161 F77_FUNC (zgelsd, ZGELSD) (const octave_idx_type&, const octave_idx_type&, const octave_idx_type&, | |
| 5275 | 162 Complex*, const octave_idx_type&, Complex*, |
| 7071 | 163 const octave_idx_type&, double*, double&, octave_idx_type&, |
| 7072 | 164 Complex*, const octave_idx_type&, double*, |
| 165 octave_idx_type*, octave_idx_type&); | |
| 458 | 166 |
| 5785 | 167 F77_RET_T |
| 168 F77_FUNC (zpotrf, ZPOTRF) (F77_CONST_CHAR_ARG_DECL, const octave_idx_type&, | |
| 169 Complex*, const octave_idx_type&, | |
| 170 octave_idx_type& F77_CHAR_ARG_LEN_DECL); | |
| 171 | |
| 172 F77_RET_T | |
| 173 F77_FUNC (zpocon, ZPOCON) (F77_CONST_CHAR_ARG_DECL, const octave_idx_type&, | |
| 174 Complex*, const octave_idx_type&, const double&, | |
| 175 double&, Complex*, double*, | |
| 176 octave_idx_type& F77_CHAR_ARG_LEN_DECL); | |
| 177 | |
| 178 F77_RET_T | |
| 179 F77_FUNC (zpotrs, ZPOTRS) (F77_CONST_CHAR_ARG_DECL, const octave_idx_type&, | |
| 180 const octave_idx_type&, const Complex*, | |
| 181 const octave_idx_type&, Complex*, | |
| 182 const octave_idx_type&, octave_idx_type& | |
| 183 F77_CHAR_ARG_LEN_DECL); | |
| 184 | |
| 185 F77_RET_T | |
| 6207 | 186 F77_FUNC (ztrtri, ZTRTRI) (F77_CONST_CHAR_ARG_DECL, F77_CONST_CHAR_ARG_DECL, |
| 187 const octave_idx_type&, const Complex*, | |
| 188 const octave_idx_type&, octave_idx_type& | |
| 189 F77_CHAR_ARG_LEN_DECL | |
| 190 F77_CHAR_ARG_LEN_DECL); | |
| 191 | |
| 192 F77_RET_T | |
| 5785 | 193 F77_FUNC (ztrcon, ZTRCON) (F77_CONST_CHAR_ARG_DECL, F77_CONST_CHAR_ARG_DECL, |
| 194 F77_CONST_CHAR_ARG_DECL, const octave_idx_type&, | |
| 195 const Complex*, const octave_idx_type&, double&, | |
| 196 Complex*, double*, octave_idx_type& | |
| 197 F77_CHAR_ARG_LEN_DECL | |
| 198 F77_CHAR_ARG_LEN_DECL | |
| 199 F77_CHAR_ARG_LEN_DECL); | |
| 200 | |
| 201 F77_RET_T | |
| 202 F77_FUNC (ztrtrs, ZTRTRS) (F77_CONST_CHAR_ARG_DECL, F77_CONST_CHAR_ARG_DECL, | |
| 203 F77_CONST_CHAR_ARG_DECL, const octave_idx_type&, | |
| 204 const octave_idx_type&, const Complex*, | |
| 205 const octave_idx_type&, Complex*, | |
| 206 const octave_idx_type&, octave_idx_type& | |
| 207 F77_CHAR_ARG_LEN_DECL | |
| 208 F77_CHAR_ARG_LEN_DECL | |
| 209 F77_CHAR_ARG_LEN_DECL); | |
| 210 | |
| 4552 | 211 F77_RET_T |
| 212 F77_FUNC (zlartg, ZLARTG) (const Complex&, const Complex&, | |
| 213 double&, Complex&, Complex&); | |
| 214 | |
| 215 F77_RET_T | |
| 216 F77_FUNC (ztrsyl, ZTRSYL) (F77_CONST_CHAR_ARG_DECL, | |
| 217 F77_CONST_CHAR_ARG_DECL, | |
| 5275 | 218 const octave_idx_type&, const octave_idx_type&, const octave_idx_type&, |
| 219 const Complex*, const octave_idx_type&, | |
| 220 const Complex*, const octave_idx_type&, | |
| 221 const Complex*, const octave_idx_type&, double&, octave_idx_type& | |
| 4552 | 222 F77_CHAR_ARG_LEN_DECL |
| 223 F77_CHAR_ARG_LEN_DECL); | |
| 224 | |
| 225 F77_RET_T | |
| 226 F77_FUNC (xzlange, XZLANGE) (F77_CONST_CHAR_ARG_DECL, | |
| 5275 | 227 const octave_idx_type&, const octave_idx_type&, const Complex*, |
| 228 const octave_idx_type&, double*, double& | |
| 4552 | 229 F77_CHAR_ARG_LEN_DECL); |
| 458 | 230 } |
| 231 | |
| 2354 | 232 static const Complex Complex_NaN_result (octave_NaN, octave_NaN); |
| 233 | |
| 1360 | 234 // Complex Matrix class |
| 458 | 235 |
| 236 ComplexMatrix::ComplexMatrix (const Matrix& a) | |
| 1214 | 237 : MArray2<Complex> (a.rows (), a.cols ()) |
| 458 | 238 { |
| 5275 | 239 for (octave_idx_type j = 0; j < cols (); j++) |
| 240 for (octave_idx_type i = 0; i < rows (); i++) | |
| 458 | 241 elem (i, j) = a.elem (i, j); |
| 242 } | |
| 243 | |
| 2349 | 244 ComplexMatrix::ComplexMatrix (const RowVector& rv) |
| 245 : MArray2<Complex> (1, rv.length (), 0.0) | |
| 246 { | |
| 5275 | 247 for (octave_idx_type i = 0; i < rv.length (); i++) |
| 2349 | 248 elem (0, i) = rv.elem (i); |
| 249 } | |
| 250 | |
| 251 ComplexMatrix::ComplexMatrix (const ColumnVector& cv) | |
| 252 : MArray2<Complex> (cv.length (), 1, 0.0) | |
| 253 { | |
| 5275 | 254 for (octave_idx_type i = 0; i < cv.length (); i++) |
| 2349 | 255 elem (i, 0) = cv.elem (i); |
| 256 } | |
| 257 | |
| 458 | 258 ComplexMatrix::ComplexMatrix (const DiagMatrix& a) |
| 1214 | 259 : MArray2<Complex> (a.rows (), a.cols (), 0.0) |
| 458 | 260 { |
| 5275 | 261 for (octave_idx_type i = 0; i < a.length (); i++) |
| 458 | 262 elem (i, i) = a.elem (i, i); |
| 263 } | |
| 264 | |
| 2349 | 265 ComplexMatrix::ComplexMatrix (const ComplexRowVector& rv) |
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266 : MArray2<Complex> (Array2<Complex> (rv, 1, rv.length ())) |
| 2349 | 267 { |
| 268 } | |
| 269 | |
| 270 ComplexMatrix::ComplexMatrix (const ComplexColumnVector& cv) | |
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271 : MArray2<Complex> (Array2<Complex> (cv, cv.length (), 1)) |
| 2349 | 272 { |
| 273 } | |
| 274 | |
| 458 | 275 ComplexMatrix::ComplexMatrix (const ComplexDiagMatrix& 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 | |
| 5775 | 282 // FIXME -- could we use a templated mixed-type copy function |
| 1574 | 283 // here? |
| 284 | |
| 2828 | 285 ComplexMatrix::ComplexMatrix (const boolMatrix& a) |
| 3180 | 286 : MArray2<Complex> (a.rows (), a.cols (), 0.0) |
| 2828 | 287 { |
| 5275 | 288 for (octave_idx_type i = 0; i < a.rows (); i++) |
| 289 for (octave_idx_type j = 0; j < a.cols (); j++) | |
| 2828 | 290 elem (i, j) = a.elem (i, j); |
| 291 } | |
| 292 | |
| 1574 | 293 ComplexMatrix::ComplexMatrix (const charMatrix& a) |
| 3180 | 294 : MArray2<Complex> (a.rows (), a.cols (), 0.0) |
| 1574 | 295 { |
| 5275 | 296 for (octave_idx_type i = 0; i < a.rows (); i++) |
| 297 for (octave_idx_type j = 0; j < a.cols (); j++) | |
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298 elem (i, j) = static_cast<unsigned char> (a.elem (i, j)); |
| 1574 | 299 } |
| 300 | |
| 2384 | 301 bool |
| 458 | 302 ComplexMatrix::operator == (const ComplexMatrix& a) const |
| 303 { | |
| 304 if (rows () != a.rows () || cols () != a.cols ()) | |
| 2384 | 305 return false; |
| 458 | 306 |
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307 return mx_inline_equal (length (), data (), a.data ()); |
| 458 | 308 } |
| 309 | |
| 2384 | 310 bool |
| 458 | 311 ComplexMatrix::operator != (const ComplexMatrix& a) const |
| 312 { | |
| 313 return !(*this == a); | |
| 314 } | |
| 315 | |
| 2815 | 316 bool |
| 317 ComplexMatrix::is_hermitian (void) const | |
| 318 { | |
| 5275 | 319 octave_idx_type nr = rows (); |
| 320 octave_idx_type nc = cols (); | |
| 2815 | 321 |
| 322 if (is_square () && nr > 0) | |
| 323 { | |
| 5275 | 324 for (octave_idx_type i = 0; i < nr; i++) |
| 325 for (octave_idx_type j = i; j < nc; j++) | |
| 2815 | 326 if (elem (i, j) != conj (elem (j, i))) |
| 327 return false; | |
| 328 | |
| 329 return true; | |
| 330 } | |
| 331 | |
| 332 return false; | |
| 333 } | |
| 334 | |
| 458 | 335 // destructive insert/delete/reorder operations |
| 336 | |
| 337 ComplexMatrix& | |
| 5275 | 338 ComplexMatrix::insert (const Matrix& a, octave_idx_type r, octave_idx_type c) |
| 458 | 339 { |
| 5275 | 340 octave_idx_type a_nr = a.rows (); |
| 341 octave_idx_type a_nc = a.cols (); | |
| 1699 | 342 |
| 343 if (r < 0 || r + a_nr > rows () || c < 0 || c + a_nc > cols ()) | |
| 458 | 344 { |
| 345 (*current_liboctave_error_handler) ("range error for insert"); | |
| 346 return *this; | |
| 347 } | |
| 348 | |
| 4316 | 349 if (a_nr >0 && a_nc > 0) |
| 350 { | |
| 351 make_unique (); | |
| 352 | |
| 5275 | 353 for (octave_idx_type j = 0; j < a_nc; j++) |
| 354 for (octave_idx_type i = 0; i < a_nr; i++) | |
| 4316 | 355 xelem (r+i, c+j) = a.elem (i, j); |
| 356 } | |
| 458 | 357 |
| 358 return *this; | |
| 359 } | |
| 360 | |
| 361 ComplexMatrix& | |
| 5275 | 362 ComplexMatrix::insert (const RowVector& a, octave_idx_type r, octave_idx_type c) |
| 458 | 363 { |
| 5275 | 364 octave_idx_type a_len = a.length (); |
| 4316 | 365 |
| 1699 | 366 if (r < 0 || r >= rows () || c < 0 || c + a_len > cols ()) |
| 458 | 367 { |
| 368 (*current_liboctave_error_handler) ("range error for insert"); | |
| 369 return *this; | |
| 370 } | |
| 371 | |
| 4316 | 372 if (a_len > 0) |
| 373 { | |
| 374 make_unique (); | |
| 375 | |
| 5275 | 376 for (octave_idx_type i = 0; i < a_len; i++) |
| 4316 | 377 xelem (r, c+i) = a.elem (i); |
| 378 } | |
| 458 | 379 |
| 380 return *this; | |
| 381 } | |
| 382 | |
| 383 ComplexMatrix& | |
| 5275 | 384 ComplexMatrix::insert (const ColumnVector& a, octave_idx_type r, octave_idx_type c) |
| 458 | 385 { |
| 5275 | 386 octave_idx_type a_len = a.length (); |
| 4316 | 387 |
| 1699 | 388 if (r < 0 || r + a_len > rows () || c < 0 || c >= cols ()) |
| 458 | 389 { |
| 390 (*current_liboctave_error_handler) ("range error for insert"); | |
| 391 return *this; | |
| 392 } | |
| 393 | |
| 4316 | 394 if (a_len > 0) |
| 395 { | |
| 396 make_unique (); | |
| 397 | |
| 5275 | 398 for (octave_idx_type i = 0; i < a_len; i++) |
| 4316 | 399 xelem (r+i, c) = a.elem (i); |
| 400 } | |
| 458 | 401 |
| 402 return *this; | |
| 403 } | |
| 404 | |
| 405 ComplexMatrix& | |
| 5275 | 406 ComplexMatrix::insert (const DiagMatrix& a, octave_idx_type r, octave_idx_type c) |
| 458 | 407 { |
| 5275 | 408 octave_idx_type a_nr = a.rows (); |
| 409 octave_idx_type a_nc = a.cols (); | |
| 1699 | 410 |
| 411 if (r < 0 || r + a_nr > rows () || c < 0 || c + a_nc > cols ()) | |
| 458 | 412 { |
| 413 (*current_liboctave_error_handler) ("range error for insert"); | |
| 414 return *this; | |
| 415 } | |
| 416 | |
| 1699 | 417 fill (0.0, r, c, r + a_nr - 1, c + a_nc - 1); |
| 418 | |
| 5275 | 419 octave_idx_type a_len = a.length (); |
| 4316 | 420 |
| 421 if (a_len > 0) | |
| 422 { | |
| 423 make_unique (); | |
| 424 | |
| 5275 | 425 for (octave_idx_type i = 0; i < a_len; i++) |
| 4316 | 426 xelem (r+i, c+i) = a.elem (i, i); |
| 427 } | |
| 458 | 428 |
| 429 return *this; | |
| 430 } | |
| 431 | |
| 432 ComplexMatrix& | |
| 5275 | 433 ComplexMatrix::insert (const ComplexMatrix& a, octave_idx_type r, octave_idx_type c) |
| 458 | 434 { |
| 1561 | 435 Array2<Complex>::insert (a, r, c); |
| 458 | 436 return *this; |
| 437 } | |
| 438 | |
| 439 ComplexMatrix& | |
| 5275 | 440 ComplexMatrix::insert (const ComplexRowVector& a, octave_idx_type r, octave_idx_type c) |
| 458 | 441 { |
| 5275 | 442 octave_idx_type a_len = a.length (); |
| 1699 | 443 if (r < 0 || r >= rows () || c < 0 || c + a_len > cols ()) |
| 458 | 444 { |
| 445 (*current_liboctave_error_handler) ("range error for insert"); | |
| 446 return *this; | |
| 447 } | |
| 448 | |
| 5275 | 449 for (octave_idx_type i = 0; i < a_len; i++) |
| 458 | 450 elem (r, c+i) = a.elem (i); |
| 451 | |
| 452 return *this; | |
| 453 } | |
| 454 | |
| 455 ComplexMatrix& | |
| 5275 | 456 ComplexMatrix::insert (const ComplexColumnVector& a, octave_idx_type r, octave_idx_type c) |
| 458 | 457 { |
| 5275 | 458 octave_idx_type a_len = a.length (); |
| 4316 | 459 |
| 1699 | 460 if (r < 0 || r + a_len > rows () || c < 0 || c >= cols ()) |
| 458 | 461 { |
| 462 (*current_liboctave_error_handler) ("range error for insert"); | |
| 463 return *this; | |
| 464 } | |
| 465 | |
| 4316 | 466 if (a_len > 0) |
| 467 { | |
| 468 make_unique (); | |
| 469 | |
| 5275 | 470 for (octave_idx_type i = 0; i < a_len; i++) |
| 4316 | 471 xelem (r+i, c) = a.elem (i); |
| 472 } | |
| 458 | 473 |
| 474 return *this; | |
| 475 } | |
| 476 | |
| 477 ComplexMatrix& | |
| 5275 | 478 ComplexMatrix::insert (const ComplexDiagMatrix& a, octave_idx_type r, octave_idx_type c) |
| 458 | 479 { |
| 5275 | 480 octave_idx_type a_nr = a.rows (); |
| 481 octave_idx_type a_nc = a.cols (); | |
| 1699 | 482 |
| 483 if (r < 0 || r + a_nr > rows () || c < 0 || c + a_nc > cols ()) | |
| 458 | 484 { |
| 485 (*current_liboctave_error_handler) ("range error for insert"); | |
| 486 return *this; | |
| 487 } | |
| 488 | |
| 1699 | 489 fill (0.0, r, c, r + a_nr - 1, c + a_nc - 1); |
| 490 | |
| 5275 | 491 octave_idx_type a_len = a.length (); |
| 4316 | 492 |
| 493 if (a_len > 0) | |
| 494 { | |
| 495 make_unique (); | |
| 496 | |
| 5275 | 497 for (octave_idx_type i = 0; i < a_len; i++) |
| 4316 | 498 xelem (r+i, c+i) = a.elem (i, i); |
| 499 } | |
| 458 | 500 |
| 501 return *this; | |
| 502 } | |
| 503 | |
| 504 ComplexMatrix& | |
| 505 ComplexMatrix::fill (double val) | |
| 506 { | |
| 5275 | 507 octave_idx_type nr = rows (); |
| 508 octave_idx_type nc = cols (); | |
| 4316 | 509 |
| 458 | 510 if (nr > 0 && nc > 0) |
| 4316 | 511 { |
| 512 make_unique (); | |
| 513 | |
| 5275 | 514 for (octave_idx_type j = 0; j < nc; j++) |
| 515 for (octave_idx_type i = 0; i < nr; i++) | |
| 4316 | 516 xelem (i, j) = val; |
| 517 } | |
| 458 | 518 |
| 519 return *this; | |
| 520 } | |
| 521 | |
| 522 ComplexMatrix& | |
| 523 ComplexMatrix::fill (const Complex& val) | |
| 524 { | |
| 5275 | 525 octave_idx_type nr = rows (); |
| 526 octave_idx_type nc = cols (); | |
| 4316 | 527 |
| 458 | 528 if (nr > 0 && nc > 0) |
| 4316 | 529 { |
| 530 make_unique (); | |
| 531 | |
| 5275 | 532 for (octave_idx_type j = 0; j < nc; j++) |
| 533 for (octave_idx_type i = 0; i < nr; i++) | |
| 4316 | 534 xelem (i, j) = val; |
| 535 } | |
| 458 | 536 |
| 537 return *this; | |
| 538 } | |
| 539 | |
| 540 ComplexMatrix& | |
| 5275 | 541 ComplexMatrix::fill (double val, octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2) |
| 458 | 542 { |
| 5275 | 543 octave_idx_type nr = rows (); |
| 544 octave_idx_type nc = cols (); | |
| 4316 | 545 |
| 458 | 546 if (r1 < 0 || r2 < 0 || c1 < 0 || c2 < 0 |
| 547 || r1 >= nr || r2 >= nr || c1 >= nc || c2 >= nc) | |
| 548 { | |
| 549 (*current_liboctave_error_handler) ("range error for fill"); | |
| 550 return *this; | |
| 551 } | |
| 552 | |
| 5275 | 553 if (r1 > r2) { octave_idx_type tmp = r1; r1 = r2; r2 = tmp; } |
| 554 if (c1 > c2) { octave_idx_type tmp = c1; c1 = c2; c2 = tmp; } | |
| 458 | 555 |
| 4316 | 556 if (r2 >= r1 && c2 >= c1) |
| 557 { | |
| 558 make_unique (); | |
| 559 | |
| 5275 | 560 for (octave_idx_type j = c1; j <= c2; j++) |
| 561 for (octave_idx_type i = r1; i <= r2; i++) | |
| 4316 | 562 xelem (i, j) = val; |
| 563 } | |
| 458 | 564 |
| 565 return *this; | |
| 566 } | |
| 567 | |
| 568 ComplexMatrix& | |
| 5275 | 569 ComplexMatrix::fill (const Complex& val, octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2) |
| 458 | 570 { |
| 5275 | 571 octave_idx_type nr = rows (); |
| 572 octave_idx_type nc = cols (); | |
| 4316 | 573 |
| 458 | 574 if (r1 < 0 || r2 < 0 || c1 < 0 || c2 < 0 |
| 575 || r1 >= nr || r2 >= nr || c1 >= nc || c2 >= nc) | |
| 576 { | |
| 577 (*current_liboctave_error_handler) ("range error for fill"); | |
| 578 return *this; | |
| 579 } | |
| 580 | |
| 5275 | 581 if (r1 > r2) { octave_idx_type tmp = r1; r1 = r2; r2 = tmp; } |
| 582 if (c1 > c2) { octave_idx_type tmp = c1; c1 = c2; c2 = tmp; } | |
| 458 | 583 |
| 4316 | 584 if (r2 >= r1 && c2 >=c1) |
| 585 { | |
| 586 make_unique (); | |
| 587 | |
| 5275 | 588 for (octave_idx_type j = c1; j <= c2; j++) |
| 589 for (octave_idx_type i = r1; i <= r2; i++) | |
| 4316 | 590 xelem (i, j) = val; |
| 591 } | |
| 458 | 592 |
| 593 return *this; | |
| 594 } | |
| 595 | |
| 596 ComplexMatrix | |
| 597 ComplexMatrix::append (const Matrix& a) const | |
| 598 { | |
| 5275 | 599 octave_idx_type nr = rows (); |
| 600 octave_idx_type nc = cols (); | |
| 458 | 601 if (nr != a.rows ()) |
| 602 { | |
| 603 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 604 return *this; | |
| 605 } | |
| 606 | |
| 5275 | 607 octave_idx_type nc_insert = nc; |
| 458 | 608 ComplexMatrix retval (nr, nc + a.cols ()); |
| 609 retval.insert (*this, 0, 0); | |
| 610 retval.insert (a, 0, nc_insert); | |
| 611 return retval; | |
| 612 } | |
| 613 | |
| 614 ComplexMatrix | |
| 615 ComplexMatrix::append (const RowVector& a) const | |
| 616 { | |
| 5275 | 617 octave_idx_type nr = rows (); |
| 618 octave_idx_type nc = cols (); | |
| 458 | 619 if (nr != 1) |
| 620 { | |
| 621 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 622 return *this; | |
| 623 } | |
| 624 | |
| 5275 | 625 octave_idx_type nc_insert = nc; |
| 458 | 626 ComplexMatrix retval (nr, nc + a.length ()); |
| 627 retval.insert (*this, 0, 0); | |
| 628 retval.insert (a, 0, nc_insert); | |
| 629 return retval; | |
| 630 } | |
| 631 | |
| 632 ComplexMatrix | |
| 633 ComplexMatrix::append (const ColumnVector& a) const | |
| 634 { | |
| 5275 | 635 octave_idx_type nr = rows (); |
| 636 octave_idx_type nc = cols (); | |
| 458 | 637 if (nr != a.length ()) |
| 638 { | |
| 639 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 640 return *this; | |
| 641 } | |
| 642 | |
| 5275 | 643 octave_idx_type nc_insert = nc; |
| 458 | 644 ComplexMatrix retval (nr, nc + 1); |
| 645 retval.insert (*this, 0, 0); | |
| 646 retval.insert (a, 0, nc_insert); | |
| 647 return retval; | |
| 648 } | |
| 649 | |
| 650 ComplexMatrix | |
| 651 ComplexMatrix::append (const DiagMatrix& a) const | |
| 652 { | |
| 5275 | 653 octave_idx_type nr = rows (); |
| 654 octave_idx_type nc = cols (); | |
| 458 | 655 if (nr != a.rows ()) |
| 656 { | |
| 657 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 658 return *this; | |
| 659 } | |
| 660 | |
| 5275 | 661 octave_idx_type nc_insert = nc; |
| 458 | 662 ComplexMatrix retval (nr, nc + a.cols ()); |
| 663 retval.insert (*this, 0, 0); | |
| 664 retval.insert (a, 0, nc_insert); | |
| 665 return retval; | |
| 666 } | |
| 667 | |
| 668 ComplexMatrix | |
| 669 ComplexMatrix::append (const ComplexMatrix& a) const | |
| 670 { | |
| 5275 | 671 octave_idx_type nr = rows (); |
| 672 octave_idx_type nc = cols (); | |
| 458 | 673 if (nr != a.rows ()) |
| 674 { | |
| 675 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 676 return *this; | |
| 677 } | |
| 678 | |
| 5275 | 679 octave_idx_type nc_insert = nc; |
| 458 | 680 ComplexMatrix retval (nr, nc + a.cols ()); |
| 681 retval.insert (*this, 0, 0); | |
| 682 retval.insert (a, 0, nc_insert); | |
| 683 return retval; | |
| 684 } | |
| 685 | |
| 686 ComplexMatrix | |
| 687 ComplexMatrix::append (const ComplexRowVector& a) const | |
| 688 { | |
| 5275 | 689 octave_idx_type nr = rows (); |
| 690 octave_idx_type nc = cols (); | |
| 458 | 691 if (nr != 1) |
| 692 { | |
| 693 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 694 return *this; | |
| 695 } | |
| 696 | |
| 5275 | 697 octave_idx_type nc_insert = nc; |
| 458 | 698 ComplexMatrix retval (nr, nc + a.length ()); |
| 699 retval.insert (*this, 0, 0); | |
| 700 retval.insert (a, 0, nc_insert); | |
| 701 return retval; | |
| 702 } | |
| 703 | |
| 704 ComplexMatrix | |
| 705 ComplexMatrix::append (const ComplexColumnVector& a) const | |
| 706 { | |
| 5275 | 707 octave_idx_type nr = rows (); |
| 708 octave_idx_type nc = cols (); | |
| 458 | 709 if (nr != a.length ()) |
| 710 { | |
| 711 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 712 return *this; | |
| 713 } | |
| 714 | |
| 5275 | 715 octave_idx_type nc_insert = nc; |
| 458 | 716 ComplexMatrix retval (nr, nc + 1); |
| 717 retval.insert (*this, 0, 0); | |
| 718 retval.insert (a, 0, nc_insert); | |
| 719 return retval; | |
| 720 } | |
| 721 | |
| 722 ComplexMatrix | |
| 723 ComplexMatrix::append (const ComplexDiagMatrix& a) const | |
| 724 { | |
| 5275 | 725 octave_idx_type nr = rows (); |
| 726 octave_idx_type nc = cols (); | |
| 458 | 727 if (nr != a.rows ()) |
| 728 { | |
| 729 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 730 return *this; | |
| 731 } | |
| 732 | |
| 5275 | 733 octave_idx_type nc_insert = nc; |
| 458 | 734 ComplexMatrix retval (nr, nc + a.cols ()); |
| 735 retval.insert (*this, 0, 0); | |
| 736 retval.insert (a, 0, nc_insert); | |
| 737 return retval; | |
| 738 } | |
| 739 | |
| 740 ComplexMatrix | |
| 741 ComplexMatrix::stack (const Matrix& a) const | |
| 742 { | |
| 5275 | 743 octave_idx_type nr = rows (); |
| 744 octave_idx_type nc = cols (); | |
| 458 | 745 if (nc != a.cols ()) |
| 746 { | |
| 747 (*current_liboctave_error_handler) | |
| 748 ("column dimension mismatch for stack"); | |
| 749 return *this; | |
| 750 } | |
| 751 | |
| 5275 | 752 octave_idx_type nr_insert = nr; |
| 458 | 753 ComplexMatrix retval (nr + a.rows (), nc); |
| 754 retval.insert (*this, 0, 0); | |
| 755 retval.insert (a, nr_insert, 0); | |
| 756 return retval; | |
| 757 } | |
| 758 | |
| 759 ComplexMatrix | |
| 760 ComplexMatrix::stack (const RowVector& a) const | |
| 761 { | |
| 5275 | 762 octave_idx_type nr = rows (); |
| 763 octave_idx_type nc = cols (); | |
| 458 | 764 if (nc != a.length ()) |
| 765 { | |
| 766 (*current_liboctave_error_handler) | |
| 767 ("column dimension mismatch for stack"); | |
| 768 return *this; | |
| 769 } | |
| 770 | |
| 5275 | 771 octave_idx_type nr_insert = nr; |
| 458 | 772 ComplexMatrix retval (nr + 1, nc); |
| 773 retval.insert (*this, 0, 0); | |
| 774 retval.insert (a, nr_insert, 0); | |
| 775 return retval; | |
| 776 } | |
| 777 | |
| 778 ComplexMatrix | |
| 779 ComplexMatrix::stack (const ColumnVector& a) const | |
| 780 { | |
| 5275 | 781 octave_idx_type nr = rows (); |
| 782 octave_idx_type nc = cols (); | |
| 458 | 783 if (nc != 1) |
| 784 { | |
| 785 (*current_liboctave_error_handler) | |
| 786 ("column dimension mismatch for stack"); | |
| 787 return *this; | |
| 788 } | |
| 789 | |
| 5275 | 790 octave_idx_type nr_insert = nr; |
| 458 | 791 ComplexMatrix retval (nr + a.length (), nc); |
| 792 retval.insert (*this, 0, 0); | |
| 793 retval.insert (a, nr_insert, 0); | |
| 794 return retval; | |
| 795 } | |
| 796 | |
| 797 ComplexMatrix | |
| 798 ComplexMatrix::stack (const DiagMatrix& a) const | |
| 799 { | |
| 5275 | 800 octave_idx_type nr = rows (); |
| 801 octave_idx_type nc = cols (); | |
| 458 | 802 if (nc != a.cols ()) |
| 803 { | |
| 804 (*current_liboctave_error_handler) | |
| 805 ("column dimension mismatch for stack"); | |
| 806 return *this; | |
| 807 } | |
| 808 | |
| 5275 | 809 octave_idx_type nr_insert = nr; |
| 458 | 810 ComplexMatrix retval (nr + a.rows (), nc); |
| 811 retval.insert (*this, 0, 0); | |
| 812 retval.insert (a, nr_insert, 0); | |
| 813 return retval; | |
| 814 } | |
| 815 | |
| 816 ComplexMatrix | |
| 817 ComplexMatrix::stack (const ComplexMatrix& a) const | |
| 818 { | |
| 5275 | 819 octave_idx_type nr = rows (); |
| 820 octave_idx_type nc = cols (); | |
| 458 | 821 if (nc != a.cols ()) |
| 822 { | |
| 823 (*current_liboctave_error_handler) | |
| 824 ("column dimension mismatch for stack"); | |
| 825 return *this; | |
| 826 } | |
| 827 | |
| 5275 | 828 octave_idx_type nr_insert = nr; |
| 458 | 829 ComplexMatrix retval (nr + a.rows (), nc); |
| 830 retval.insert (*this, 0, 0); | |
| 831 retval.insert (a, nr_insert, 0); | |
| 832 return retval; | |
| 833 } | |
| 834 | |
| 835 ComplexMatrix | |
| 836 ComplexMatrix::stack (const ComplexRowVector& a) const | |
| 837 { | |
| 5275 | 838 octave_idx_type nr = rows (); |
| 839 octave_idx_type nc = cols (); | |
| 458 | 840 if (nc != a.length ()) |
| 841 { | |
| 842 (*current_liboctave_error_handler) | |
| 843 ("column dimension mismatch for stack"); | |
| 844 return *this; | |
| 845 } | |
| 846 | |
| 5275 | 847 octave_idx_type nr_insert = nr; |
| 458 | 848 ComplexMatrix retval (nr + 1, nc); |
| 849 retval.insert (*this, 0, 0); | |
| 850 retval.insert (a, nr_insert, 0); | |
| 851 return retval; | |
| 852 } | |
| 853 | |
| 854 ComplexMatrix | |
| 855 ComplexMatrix::stack (const ComplexColumnVector& a) const | |
| 856 { | |
| 5275 | 857 octave_idx_type nr = rows (); |
| 858 octave_idx_type nc = cols (); | |
| 458 | 859 if (nc != 1) |
| 860 { | |
| 861 (*current_liboctave_error_handler) | |
| 862 ("column dimension mismatch for stack"); | |
| 863 return *this; | |
| 864 } | |
| 865 | |
| 5275 | 866 octave_idx_type nr_insert = nr; |
| 458 | 867 ComplexMatrix retval (nr + a.length (), nc); |
| 868 retval.insert (*this, 0, 0); | |
| 869 retval.insert (a, nr_insert, 0); | |
| 870 return retval; | |
| 871 } | |
| 872 | |
| 873 ComplexMatrix | |
| 874 ComplexMatrix::stack (const ComplexDiagMatrix& a) const | |
| 875 { | |
| 5275 | 876 octave_idx_type nr = rows (); |
| 877 octave_idx_type nc = cols (); | |
| 458 | 878 if (nc != a.cols ()) |
| 879 { | |
| 880 (*current_liboctave_error_handler) | |
| 881 ("column dimension mismatch for stack"); | |
| 882 return *this; | |
| 883 } | |
| 884 | |
| 5275 | 885 octave_idx_type nr_insert = nr; |
| 458 | 886 ComplexMatrix retval (nr + a.rows (), nc); |
| 887 retval.insert (*this, 0, 0); | |
| 888 retval.insert (a, nr_insert, 0); | |
| 889 return retval; | |
| 890 } | |
| 891 | |
| 892 ComplexMatrix | |
| 893 conj (const ComplexMatrix& a) | |
| 894 { | |
|
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
|
895 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
|
896 a.rows (), a.cols ()); |
| 458 | 897 } |
| 898 | |
| 899 // resize is the destructive equivalent for this one | |
| 900 | |
| 901 ComplexMatrix | |
| 5275 | 902 ComplexMatrix::extract (octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2) const |
| 458 | 903 { |
| 5275 | 904 if (r1 > r2) { octave_idx_type tmp = r1; r1 = r2; r2 = tmp; } |
| 905 if (c1 > c2) { octave_idx_type tmp = c1; c1 = c2; c2 = tmp; } | |
| 906 | |
| 907 octave_idx_type new_r = r2 - r1 + 1; | |
| 908 octave_idx_type new_c = c2 - c1 + 1; | |
| 458 | 909 |
| 910 ComplexMatrix result (new_r, new_c); | |
| 911 | |
| 5275 | 912 for (octave_idx_type j = 0; j < new_c; j++) |
| 913 for (octave_idx_type i = 0; i < new_r; i++) | |
| 4316 | 914 result.xelem (i, j) = elem (r1+i, c1+j); |
| 915 | |
| 916 return result; | |
| 917 } | |
| 918 | |
| 919 ComplexMatrix | |
| 5275 | 920 ComplexMatrix::extract_n (octave_idx_type r1, octave_idx_type c1, octave_idx_type nr, octave_idx_type nc) const |
| 4316 | 921 { |
| 922 ComplexMatrix result (nr, nc); | |
| 923 | |
| 5275 | 924 for (octave_idx_type j = 0; j < nc; j++) |
| 925 for (octave_idx_type i = 0; i < nr; i++) | |
| 4316 | 926 result.xelem (i, j) = elem (r1+i, c1+j); |
| 458 | 927 |
| 928 return result; | |
| 929 } | |
| 930 | |
| 931 // extract row or column i. | |
| 932 | |
| 933 ComplexRowVector | |
| 5275 | 934 ComplexMatrix::row (octave_idx_type i) const |
| 458 | 935 { |
|
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936 return MArray<Complex> (index (idx_vector (i), idx_vector::colon)); |
| 458 | 937 } |
| 938 | |
| 939 ComplexColumnVector | |
| 5275 | 940 ComplexMatrix::column (octave_idx_type i) const |
| 458 | 941 { |
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942 return MArray<Complex> (index (idx_vector::colon, idx_vector (i))); |
| 458 | 943 } |
| 944 | |
| 945 ComplexMatrix | |
| 946 ComplexMatrix::inverse (void) const | |
| 947 { | |
| 5275 | 948 octave_idx_type info; |
| 7788 | 949 double rcon; |
| 6207 | 950 MatrixType mattype (*this); |
| 7788 | 951 return inverse (mattype, info, rcon, 0, 0); |
| 6207 | 952 } |
| 953 | |
| 954 ComplexMatrix | |
| 6479 | 955 ComplexMatrix::inverse (octave_idx_type& info) const |
| 956 { | |
| 7788 | 957 double rcon; |
| 6479 | 958 MatrixType mattype (*this); |
| 7788 | 959 return inverse (mattype, info, rcon, 0, 0); |
| 6479 | 960 } |
| 961 | |
| 962 ComplexMatrix | |
| 7788 | 963 ComplexMatrix::inverse (octave_idx_type& info, double& rcon, int force, |
| 6479 | 964 int calc_cond) const |
| 965 { | |
| 966 MatrixType mattype (*this); | |
| 7788 | 967 return inverse (mattype, info, rcon, force, calc_cond); |
| 6479 | 968 } |
| 969 | |
| 970 ComplexMatrix | |
| 6207 | 971 ComplexMatrix::inverse (MatrixType &mattype) const |
| 972 { | |
| 973 octave_idx_type info; | |
| 7788 | 974 double rcon; |
| 975 return inverse (mattype, info, rcon, 0, 0); | |
| 6207 | 976 } |
| 977 | |
| 978 ComplexMatrix | |
| 979 ComplexMatrix::inverse (MatrixType &mattype, octave_idx_type& info) const | |
| 980 { | |
| 7788 | 981 double rcon; |
| 982 return inverse (mattype, info, rcon, 0, 0); | |
| 458 | 983 } |
| 984 | |
| 985 ComplexMatrix | |
| 6207 | 986 ComplexMatrix::tinverse (MatrixType &mattype, octave_idx_type& info, |
| 7788 | 987 double& rcon, int force, int calc_cond) const |
| 458 | 988 { |
| 6207 | 989 ComplexMatrix retval; |
| 990 | |
| 991 octave_idx_type nr = rows (); | |
| 992 octave_idx_type nc = cols (); | |
| 993 | |
| 994 if (nr != nc || nr == 0 || nc == 0) | |
| 995 (*current_liboctave_error_handler) ("inverse requires square matrix"); | |
| 996 else | |
| 997 { | |
| 998 int typ = mattype.type (); | |
| 999 char uplo = (typ == MatrixType::Lower ? 'L' : 'U'); | |
| 1000 char udiag = 'N'; | |
| 1001 retval = *this; | |
| 1002 Complex *tmp_data = retval.fortran_vec (); | |
| 1003 | |
| 1004 F77_XFCN (ztrtri, ZTRTRI, (F77_CONST_CHAR_ARG2 (&uplo, 1), | |
| 1005 F77_CONST_CHAR_ARG2 (&udiag, 1), | |
| 1006 nr, tmp_data, nr, info | |
| 1007 F77_CHAR_ARG_LEN (1) | |
| 1008 F77_CHAR_ARG_LEN (1))); | |
| 1009 | |
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1010 // Throw-away extra info LAPACK gives so as to not change output. |
| 7788 | 1011 rcon = 0.0; |
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1012 if (info != 0) |
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1013 info = -1; |
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1014 else if (calc_cond) |
| 6207 | 1015 { |
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1016 octave_idx_type ztrcon_info = 0; |
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1017 char job = '1'; |
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1018 |
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1019 OCTAVE_LOCAL_BUFFER (Complex, cwork, 2*nr); |
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1020 OCTAVE_LOCAL_BUFFER (double, rwork, nr); |
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1021 |
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1022 F77_XFCN (ztrcon, ZTRCON, (F77_CONST_CHAR_ARG2 (&job, 1), |
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1023 F77_CONST_CHAR_ARG2 (&uplo, 1), |
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1024 F77_CONST_CHAR_ARG2 (&udiag, 1), |
| 7788 | 1025 nr, tmp_data, nr, rcon, |
|
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1026 cwork, rwork, ztrcon_info |
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1027 F77_CHAR_ARG_LEN (1) |
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1028 F77_CHAR_ARG_LEN (1) |
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1029 F77_CHAR_ARG_LEN (1))); |
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1030 |
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1031 if (ztrcon_info != 0) |
| 6207 | 1032 info = -1; |
| 1033 } | |
| 1034 | |
| 1035 if (info == -1 && ! force) | |
| 1036 retval = *this; // Restore matrix contents. | |
| 1037 } | |
| 1038 | |
| 1039 return retval; | |
| 458 | 1040 } |
| 1041 | |
| 1042 ComplexMatrix | |
| 6207 | 1043 ComplexMatrix::finverse (MatrixType &mattype, octave_idx_type& info, |
| 7788 | 1044 double& rcon, int force, int calc_cond) const |
| 458 | 1045 { |
| 1948 | 1046 ComplexMatrix retval; |
| 1047 | |
| 5275 | 1048 octave_idx_type nr = rows (); |
| 1049 octave_idx_type nc = cols (); | |
| 1948 | 1050 |
| 458 | 1051 if (nr != nc) |
| 1948 | 1052 (*current_liboctave_error_handler) ("inverse requires square matrix"); |
| 458 | 1053 else |
| 1054 { | |
| 5275 | 1055 Array<octave_idx_type> ipvt (nr); |
| 1056 octave_idx_type *pipvt = ipvt.fortran_vec (); | |
| 1948 | 1057 |
| 1058 retval = *this; | |
| 1059 Complex *tmp_data = retval.fortran_vec (); | |
| 1060 | |
| 4329 | 1061 Array<Complex> z(1); |
| 5275 | 1062 octave_idx_type lwork = -1; |
| 4330 | 1063 |
| 1064 // Query the optimum work array size. | |
| 4329 | 1065 |
| 1066 F77_XFCN (zgetri, ZGETRI, (nc, tmp_data, nr, pipvt, | |
| 1067 z.fortran_vec (), lwork, info)); | |
| 1068 | |
| 5315 | 1069 lwork = static_cast<octave_idx_type> (std::real(z(0))); |
| 4329 | 1070 lwork = (lwork < 2 *nc ? 2*nc : lwork); |
| 1071 z.resize (lwork); | |
| 1072 Complex *pz = z.fortran_vec (); | |
| 1073 | |
| 1074 info = 0; | |
| 1075 | |
| 4330 | 1076 // Calculate the norm of the matrix, for later use. |
| 4329 | 1077 double anorm; |
| 1078 if (calc_cond) | |
| 5275 | 1079 anorm = retval.abs().sum().row(static_cast<octave_idx_type>(0)).max(); |
| 4329 | 1080 |
| 1081 F77_XFCN (zgetrf, ZGETRF, (nc, nc, tmp_data, nr, pipvt, info)); | |
| 1948 | 1082 |
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1083 // Throw-away extra info LAPACK gives so as to not change output. |
| 7788 | 1084 rcon = 0.0; |
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1085 if (info != 0) |
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1086 info = -1; |
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1087 else if (calc_cond) |
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1088 { |
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1089 // Now calculate the condition number for non-singular matrix. |
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1090 octave_idx_type zgecon_info = 0; |
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1091 char job = '1'; |
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1092 Array<double> rz (2 * nc); |
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1093 double *prz = rz.fortran_vec (); |
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1094 F77_XFCN (zgecon, ZGECON, (F77_CONST_CHAR_ARG2 (&job, 1), |
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1095 nc, tmp_data, nr, anorm, |
| 7788 | 1096 rcon, pz, prz, zgecon_info |
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1097 F77_CHAR_ARG_LEN (1))); |
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1098 |
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1099 if (zgecon_info != 0) |
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1100 info = -1; |
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1101 } |
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1102 |
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1103 if (info == -1 && ! force) |
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1104 retval = *this; // Restore contents. |
| 1948 | 1105 else |
| 1106 { | |
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1107 octave_idx_type zgetri_info = 0; |
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1108 |
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1109 F77_XFCN (zgetri, ZGETRI, (nc, tmp_data, nr, pipvt, |
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1110 pz, lwork, zgetri_info)); |
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1111 |
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1112 if (zgetri_info != 0) |
| 1948 | 1113 info = -1; |
| 1114 } | |
| 6207 | 1115 |
| 1116 if (info != 0) | |
| 1117 mattype.mark_as_rectangular(); | |
| 458 | 1118 } |
| 4329 | 1119 |
| 1948 | 1120 return retval; |
| 458 | 1121 } |
| 1122 | |
| 1123 ComplexMatrix | |
| 6207 | 1124 ComplexMatrix::inverse (MatrixType &mattype, octave_idx_type& info, |
| 7788 | 1125 double& rcon, int force, int calc_cond) const |
| 6207 | 1126 { |
| 1127 int typ = mattype.type (false); | |
| 1128 ComplexMatrix ret; | |
| 1129 | |
| 1130 if (typ == MatrixType::Unknown) | |
| 1131 typ = mattype.type (*this); | |
| 1132 | |
| 1133 if (typ == MatrixType::Upper || typ == MatrixType::Lower) | |
| 7788 | 1134 ret = tinverse (mattype, info, rcon, force, calc_cond); |
| 6840 | 1135 else |
| 6207 | 1136 { |
| 1137 if (mattype.is_hermitian ()) | |
| 1138 { | |
| 6486 | 1139 ComplexCHOL chol (*this, info, calc_cond); |
| 6207 | 1140 if (info == 0) |
| 6486 | 1141 { |
| 1142 if (calc_cond) | |
| 7788 | 1143 rcon = chol.rcond(); |
| 6486 | 1144 else |
| 7788 | 1145 rcon = 1.0; |
| 6486 | 1146 ret = chol.inverse (); |
| 1147 } | |
| 6207 | 1148 else |
| 1149 mattype.mark_as_unsymmetric (); | |
| 1150 } | |
| 1151 | |
| 1152 if (!mattype.is_hermitian ()) | |
| 7788 | 1153 ret = finverse(mattype, info, rcon, force, calc_cond); |
| 1154 | |
| 1155 if ((mattype.is_hermitian () || calc_cond) && rcon == 0.) | |
| 6840 | 1156 ret = ComplexMatrix (rows (), columns (), Complex (octave_Inf, 0.)); |
| 6207 | 1157 } |
| 1158 | |
| 1159 return ret; | |
| 1160 } | |
| 1161 | |
| 1162 ComplexMatrix | |
| 4384 | 1163 ComplexMatrix::pseudo_inverse (double tol) const |
| 740 | 1164 { |
| 1549 | 1165 ComplexMatrix retval; |
| 1166 | |
| 3480 | 1167 ComplexSVD result (*this, SVD::economy); |
| 740 | 1168 |
| 1169 DiagMatrix S = result.singular_values (); | |
| 1170 ComplexMatrix U = result.left_singular_matrix (); | |
| 1171 ComplexMatrix V = result.right_singular_matrix (); | |
| 1172 | |
| 1173 ColumnVector sigma = S.diag (); | |
| 1174 | |
| 5275 | 1175 octave_idx_type r = sigma.length () - 1; |
| 1176 octave_idx_type nr = rows (); | |
| 1177 octave_idx_type nc = cols (); | |
| 740 | 1178 |
| 1179 if (tol <= 0.0) | |
| 1180 { | |
| 1181 if (nr > nc) | |
| 1182 tol = nr * sigma.elem (0) * DBL_EPSILON; | |
| 1183 else | |
| 1184 tol = nc * sigma.elem (0) * DBL_EPSILON; | |
| 1185 } | |
| 1186 | |
| 1187 while (r >= 0 && sigma.elem (r) < tol) | |
| 1188 r--; | |
| 1189 | |
| 1190 if (r < 0) | |
| 1549 | 1191 retval = ComplexMatrix (nc, nr, 0.0); |
| 740 | 1192 else |
| 1193 { | |
| 1194 ComplexMatrix Ur = U.extract (0, 0, nr-1, r); | |
| 1195 DiagMatrix D = DiagMatrix (sigma.extract (0, r)) . inverse (); | |
| 1196 ComplexMatrix Vr = V.extract (0, 0, nc-1, r); | |
| 1549 | 1197 retval = Vr * D * Ur.hermitian (); |
| 740 | 1198 } |
| 1549 | 1199 |
| 1200 return retval; | |
| 740 | 1201 } |
| 1202 | |
|
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1203 #if defined (HAVE_FFTW) |
| 3827 | 1204 |
| 1205 ComplexMatrix | |
| 1206 ComplexMatrix::fourier (void) const | |
| 1207 { | |
| 1208 size_t nr = rows (); | |
| 1209 size_t nc = cols (); | |
| 1210 | |
| 1211 ComplexMatrix retval (nr, nc); | |
| 1212 | |
| 1213 size_t npts, nsamples; | |
| 1214 | |
| 1215 if (nr == 1 || nc == 1) | |
| 1216 { | |
| 1217 npts = nr > nc ? nr : nc; | |
| 1218 nsamples = 1; | |
| 1219 } | |
| 1220 else | |
| 1221 { | |
| 1222 npts = nr; | |
| 1223 nsamples = nc; | |
| 1224 } | |
| 1225 | |
| 1226 const Complex *in (data ()); | |
| 1227 Complex *out (retval.fortran_vec ()); | |
| 1228 | |
| 4773 | 1229 octave_fftw::fft (in, out, npts, nsamples); |
| 3827 | 1230 |
| 1231 return retval; | |
| 1232 } | |
| 1233 | |
| 1234 ComplexMatrix | |
| 1235 ComplexMatrix::ifourier (void) const | |
| 1236 { | |
| 1237 size_t nr = rows (); | |
| 1238 size_t nc = cols (); | |
| 1239 | |
| 1240 ComplexMatrix retval (nr, nc); | |
| 1241 | |
| 1242 size_t npts, nsamples; | |
| 1243 | |
| 1244 if (nr == 1 || nc == 1) | |
| 1245 { | |
| 1246 npts = nr > nc ? nr : nc; | |
| 1247 nsamples = 1; | |
| 1248 } | |
| 1249 else | |
| 1250 { | |
| 1251 npts = nr; | |
| 1252 nsamples = nc; | |
| 1253 } | |
| 1254 | |
| 1255 const Complex *in (data ()); | |
| 1256 Complex *out (retval.fortran_vec ()); | |
| 1257 | |
| 4773 | 1258 octave_fftw::ifft (in, out, npts, nsamples); |
| 3827 | 1259 |
| 1260 return retval; | |
| 1261 } | |
| 1262 | |
| 1263 ComplexMatrix | |
| 1264 ComplexMatrix::fourier2d (void) const | |
| 1265 { | |
| 4773 | 1266 dim_vector dv(rows (), cols ()); |
| 1267 | |
| 1268 ComplexMatrix retval (rows (), cols ()); | |
| 1269 const Complex *in (data ()); | |
| 1270 Complex *out (retval.fortran_vec ()); | |
| 1271 | |
| 1272 octave_fftw::fftNd (in, out, 2, dv); | |
| 3827 | 1273 |
| 1274 return retval; | |
| 1275 } | |
| 1276 | |
| 1277 ComplexMatrix | |
| 1278 ComplexMatrix::ifourier2d (void) const | |
| 1279 { | |
| 4773 | 1280 dim_vector dv(rows (), cols ()); |
| 1281 | |
| 1282 ComplexMatrix retval (rows (), cols ()); | |
| 1283 const Complex *in (data ()); | |
| 1284 Complex *out (retval.fortran_vec ()); | |
| 1285 | |
| 1286 octave_fftw::ifftNd (in, out, 2, dv); | |
| 3827 | 1287 |
| 1288 return retval; | |
| 1289 } | |
| 1290 | |
| 1291 #else | |
| 1292 | |
|
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1293 extern "C" |
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1294 { |
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1295 // Note that the original complex fft routines were not written for |
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1296 // double complex arguments. They have been modified by adding an |
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1297 // implicit double precision (a-h,o-z) statement at the beginning of |
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1298 // each subroutine. |
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1299 |
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1300 F77_RET_T |
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1301 F77_FUNC (zffti, ZFFTI) (const octave_idx_type&, Complex*); |
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1302 |
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1303 F77_RET_T |
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1304 F77_FUNC (zfftf, ZFFTF) (const octave_idx_type&, Complex*, Complex*); |
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1305 |
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1306 F77_RET_T |
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1307 F77_FUNC (zfftb, ZFFTB) (const octave_idx_type&, Complex*, Complex*); |
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1308 } |
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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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|
2088 // Throw-away extra info LAPACK gives so as to not change output. |
| 7788 | 2089 rcon = 0.0; |
|
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|
2090 if (info != 0) |
|
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|
2091 { |
|
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|
2092 info = -2; |
|
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|
2093 |
|
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|
2094 mattype.mark_as_unsymmetric (); |
|
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|
2095 typ = MatrixType::Full; |
|
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|
2096 } |
|
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|
2097 else |
| 5785 | 2098 { |
|
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|
2099 if (calc_cond) |
| 5785 | 2100 { |
|
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|
2101 Array<Complex> z (2 * nc); |
|
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|
2102 Complex *pz = z.fortran_vec (); |
|
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|
2103 Array<double> rz (nc); |
|
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|
2104 double *prz = rz.fortran_vec (); |
|
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|
2105 |
|
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|
2106 F77_XFCN (zpocon, ZPOCON, (F77_CONST_CHAR_ARG2 (&job, 1), |
|
29980c6b8604
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changeset
|
2107 nr, tmp_data, nr, anorm, |
| 7788 | 2108 rcon, pz, prz, info |
|
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|
2109 F77_CHAR_ARG_LEN (1))); |
|
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|
2110 |
|
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|
2111 if (info != 0) |
|
29980c6b8604
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|
2112 info = -2; |
|
29980c6b8604
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diff
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|
2113 |
| 7788 | 2114 volatile double rcond_plus_one = rcon + 1.0; |
| 2115 | |
| 2116 if (rcond_plus_one == 1.0 || xisnan (rcon)) | |
|
7482
29980c6b8604
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diff
changeset
|
2117 { |
|
29980c6b8604
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parents:
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diff
changeset
|
2118 info = -2; |
|
29980c6b8604
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diff
changeset
|
2119 |
|
29980c6b8604
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diff
changeset
|
2120 if (sing_handler) |
| 7788 | 2121 sing_handler (rcon); |
|
7482
29980c6b8604
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|
2122 else |
|
29980c6b8604
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parents:
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diff
changeset
|
2123 (*current_liboctave_error_handler) |
|
29980c6b8604
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diff
changeset
|
2124 ("matrix singular to machine precision, rcond = %g", |
| 7788 | 2125 rcon); |
|
7482
29980c6b8604
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|
2126 } |
|
29980c6b8604
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diff
changeset
|
2127 } |
|
29980c6b8604
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diff
changeset
|
2128 |
|
29980c6b8604
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changeset
|
2129 if (info == 0) |
|
29980c6b8604
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diff
changeset
|
2130 { |
|
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|
2131 retval = b; |
|
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|
2132 Complex *result = retval.fortran_vec (); |
|
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|
2133 |
|
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|
2134 octave_idx_type b_nc = b.cols (); |
|
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|
2135 |
|
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|
2136 F77_XFCN (zpotrs, ZPOTRS, (F77_CONST_CHAR_ARG2 (&job, 1), |
|
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|
2137 nr, b_nc, tmp_data, nr, |
|
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|
2138 result, b.rows(), info |
|
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|
2139 F77_CHAR_ARG_LEN (1))); |
|
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|
2140 } |
|
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|
2141 else |
|
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|
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
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|
2170 // Throw-away extra info LAPACK gives so as to not change output. |
| 7788 | 2171 rcon = 0.0; |
|
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|
2172 if (info != 0) |
|
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diff
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|
2173 { |
|
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|
2174 info = -2; |
|
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changeset
|
2175 |
|
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changeset
|
2176 if (sing_handler) |
| 7788 | 2177 sing_handler (rcon); |
|
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|
2178 else |
|
29980c6b8604
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|
2179 (*current_liboctave_error_handler) |
|
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changeset
|
2180 ("matrix singular to machine precision"); |
|
29980c6b8604
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diff
changeset
|
2181 |
|
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diff
changeset
|
2182 mattype.mark_as_rectangular (); |
|
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changeset
|
2183 } |
|
29980c6b8604
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diff
changeset
|
2184 else |
| 5785 | 2185 { |
|
7482
29980c6b8604
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diff
changeset
|
2186 if (calc_cond) |
| 5785 | 2187 { |
|
7482
29980c6b8604
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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), |
|
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diff
changeset
|
2192 nc, tmp_data, nr, anorm, |
| 7788 | 2193 rcon, pz, prz, info |
|
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|
2194 F77_CHAR_ARG_LEN (1))); |
|
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changeset
|
2195 |
|
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changeset
|
2196 if (info != 0) |
|
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|
2197 info = -2; |
|
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changeset
|
2198 |
| 7788 | 2199 volatile double rcond_plus_one = rcon + 1.0; |
| 2200 | |
| 2201 if (rcond_plus_one == 1.0 || xisnan (rcon)) | |
| 5785 | 2202 { |
|
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|
2203 info = -2; |
|
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changeset
|
2204 |
|
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changeset
|
2205 if (sing_handler) |
| 7788 | 2206 sing_handler (rcon); |
|
7482
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changeset
|
2207 else |
|
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parents:
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diff
changeset
|
2208 (*current_liboctave_error_handler) |
|
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diff
changeset
|
2209 ("matrix singular to machine precision, rcond = %g", |
| 7788 | 2210 rcon); |
| 5785 | 2211 } |
| 2212 } | |
|
7482
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diff
changeset
|
2213 |
|
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diff
changeset
|
2214 if (info == 0) |
|
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diff
changeset
|
2215 { |
|
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diff
changeset
|
2216 retval = b; |
|
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changeset
|
2217 Complex *result = retval.fortran_vec (); |
|
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changeset
|
2218 |
|
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diff
changeset
|
2219 octave_idx_type b_nc = b.cols (); |
|
29980c6b8604
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changeset
|
2220 |
|
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changeset
|
2221 char job = 'N'; |
|
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changeset
|
2222 F77_XFCN (zgetrs, ZGETRS, (F77_CONST_CHAR_ARG2 (&job, 1), |
|
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diff
changeset
|
2223 nr, b_nc, tmp_data, nr, |
|
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parents:
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diff
changeset
|
2224 pipvt, result, b.rows(), info |
|
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parents:
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diff
changeset
|
2225 F77_CHAR_ARG_LEN (1))); |
|
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parents:
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diff
changeset
|
2226 } |
|
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parents:
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diff
changeset
|
2227 else |
|
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diff
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 |
|
7486
6a6d2abe51ff
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|
2618 octave_idx_type mnthr; |
|
6a6d2abe51ff
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diff
changeset
|
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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|
2657 // through 3.1.1 when n >= mnthr. The obtuse formula below |
|
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|
2658 // should provide sufficient workspace for ZGELSD to operate |
| 7476 | 2659 // efficiently. |
|
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|
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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|
2679 { |
|
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|
2680 octave_idx_type lworkaround = 2*m + m*nrhs; |
|
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|
2681 |
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|
2682 if (std::real (work(0)) < lworkaround) |
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|
2683 work(0) = lworkaround; |
|
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|
2684 } |
| 7476 | 2685 |
|
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|
2686 lwork = static_cast<octave_idx_type> (std::real (work(0))); |
|
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|
2687 work.resize (lwork); |
|
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|
2688 |
|
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|
2689 F77_XFCN (zgelsd, ZGELSD, (m, n, nrhs, tmp_data, m, pretval, |
| 7788 | 2690 maxmn, ps, rcon, rank, |
|
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|
2691 work.fortran_vec (), lwork, |
|
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|
2692 prwork, piwork, info)); |
|
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|
2693 |
|
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|
2694 if (rank < minmn) |
|
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|
2695 (*current_liboctave_warning_handler) |
|
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|
2696 ("zgelsd: rank deficient %dx%d matrix, rank = %d, tol = %e", |
| 7788 | 2697 m, n, rank, rcon); |
|
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|
2698 |
|
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|
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); |
|
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|
2703 |
|
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|
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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|
2812 octave_idx_type smlsiz; |
|
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|
2813 F77_FUNC (xilaenv, XILAENV) (9, F77_CONST_CHAR_ARG2 ("ZGELSD", 6), |
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|
2814 F77_CONST_CHAR_ARG2 (" ", 1), |
|
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|
2815 0, 0, 0, 0, smlsiz |
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|
2816 F77_CHAR_ARG_LEN (6) |
|
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|
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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|
2825 double tmp = log2 (dminmn / dsmlsizp1); |
| 7079 | 2826 #else |
|
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2827 double tmp = log (dminmn / dsmlsizp1) / log (2.0); |
| 7079 | 2828 #endif |
|
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|
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 |
|
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2850 lwork = static_cast<octave_idx_type> (std::real (work(0))); |
|
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|
2851 work.resize (lwork); |
|
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|
2852 rwork.resize (static_cast<octave_idx_type> (rwork(0))); |
|
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|
2853 iwork.resize (iwork(0)); |
|
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|
2854 |
|
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|
2855 F77_XFCN (zgelsd, ZGELSD, (m, n, nrhs, tmp_data, m, pretval, |
| 7788 | 2856 maxmn, ps, rcon, rank, |
|
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|
2857 work.fortran_vec (), lwork, |
|
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|
2858 prwork, piwork, info)); |
|
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2859 |
|
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|
2860 if (rank < minmn) |
| 1948 | 2861 { |
|
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|
2862 if (rank < minmn) |
|
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|
2863 (*current_liboctave_warning_handler) |
|
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|
2864 ("zgelsd: rank deficient %dx%d matrix, rank = %d, tol = %e", |
| 7788 | 2865 m, n, rank, rcon); |
|
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|
2866 |
|
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|
2867 if (s.elem (0) == 0.0) |
| 7788 | 2868 rcon = 0.0; |
|
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|
2869 else |
| 7788 | 2870 rcon = s.elem (minmn - 1) / s.elem (0); |
|
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|
2871 |
|
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|
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 |
|
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2906 retval = ComplexMatrix (len, a_len); |
| 3233 | 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 | |
|
9550
3d6a9aea2aea
refactor binary & bool ops in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9528
diff
changeset
|
3028 mx_inline_add2 (length (), d, a.data ()); |
| 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 | |
|
9550
3d6a9aea2aea
refactor binary & bool ops in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9528
diff
changeset
|
3052 mx_inline_sub2 (length (), d, a.data ()); |
| 458 | 3053 return *this; |
| 3054 } | |
| 3055 | |
| 3056 // unary operations | |
| 3057 | |
| 2964 | 3058 boolMatrix |
| 458 | 3059 ComplexMatrix::operator ! (void) const |
| 3060 { | |
|
9553
0c72d9284087
further bool ops tweaks
Jaroslav Hajek <highegg@gmail.com>
parents:
9551
diff
changeset
|
3061 return do_mx_unary_op<boolMatrix, ComplexMatrix> (*this, mx_inline_not); |
| 458 | 3062 } |
| 3063 | |
| 3064 // other operations | |
| 3065 | |
| 2676 | 3066 Matrix |
|
7503
8c32f95c2639
convert mapper functions to new format
David Bateman <dbateman@free.fr>
parents:
7488
diff
changeset
|
3067 ComplexMatrix::map (dmapper fcn) const |
| 458 | 3068 { |
|
7503
8c32f95c2639
convert mapper functions to new format
David Bateman <dbateman@free.fr>
parents:
7488
diff
changeset
|
3069 return MArray2<Complex>::map<double> (func_ptr (fcn)); |
|
8c32f95c2639
convert mapper functions to new format
David Bateman <dbateman@free.fr>
parents:
7488
diff
changeset
|
3070 } |
|
8c32f95c2639
convert mapper functions to new format
David Bateman <dbateman@free.fr>
parents:
7488
diff
changeset
|
3071 |
|
8c32f95c2639
convert mapper functions to new format
David Bateman <dbateman@free.fr>
parents:
7488
diff
changeset
|
3072 ComplexMatrix |
|
8c32f95c2639
convert mapper functions to new format
David Bateman <dbateman@free.fr>
parents:
7488
diff
changeset
|
3073 ComplexMatrix::map (cmapper fcn) const |
|
8c32f95c2639
convert mapper functions to new format
David Bateman <dbateman@free.fr>
parents:
7488
diff
changeset
|
3074 { |
|
8c32f95c2639
convert mapper functions to new format
David Bateman <dbateman@free.fr>
parents:
7488
diff
changeset
|
3075 return MArray2<Complex>::map<Complex> (func_ptr (fcn)); |
| 3248 | 3076 } |
| 3077 | |
| 3078 boolMatrix | |
|
7503
8c32f95c2639
convert mapper functions to new format
David Bateman <dbateman@free.fr>
parents:
7488
diff
changeset
|
3079 ComplexMatrix::map (bmapper fcn) const |
| 3248 | 3080 { |
|
7503
8c32f95c2639
convert mapper functions to new format
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parents:
7488
diff
changeset
|
3081 return MArray2<Complex>::map<bool> (func_ptr (fcn)); |
| 458 | 3082 } |
| 3083 | |
| 2384 | 3084 bool |
|
7922
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3085 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
|
3086 { |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3087 octave_idx_type nr = rows (); |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3088 octave_idx_type nc = cols (); |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3089 |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3090 for (octave_idx_type j = 0; j < nc; j++) |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3091 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
|
3092 { |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3093 Complex val = elem (i, j); |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3094 if (xisnan (val)) |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3095 return true; |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3096 } |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3097 |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3098 return false; |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3099 } |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3100 |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3101 bool |
| 2384 | 3102 ComplexMatrix::any_element_is_inf_or_nan (void) const |
| 3103 { | |
| 5275 | 3104 octave_idx_type nr = rows (); |
| 3105 octave_idx_type nc = cols (); | |
| 3106 | |
| 3107 for (octave_idx_type j = 0; j < nc; j++) | |
| 3108 for (octave_idx_type i = 0; i < nr; i++) | |
| 2384 | 3109 { |
| 3110 Complex val = elem (i, j); | |
| 3111 if (xisinf (val) || xisnan (val)) | |
| 3112 return true; | |
| 3113 } | |
| 3114 | |
| 3115 return false; | |
| 3116 } | |
| 3117 | |
| 2408 | 3118 // Return true if no elements have imaginary components. |
| 3119 | |
| 3120 bool | |
| 3121 ComplexMatrix::all_elements_are_real (void) const | |
| 3122 { | |
| 5275 | 3123 octave_idx_type nr = rows (); |
| 3124 octave_idx_type nc = cols (); | |
| 3125 | |
| 3126 for (octave_idx_type j = 0; j < nc; j++) | |
| 4349 | 3127 { |
| 5275 | 3128 for (octave_idx_type i = 0; i < nr; i++) |
| 4349 | 3129 { |
| 5315 | 3130 double ip = std::imag (elem (i, j)); |
| 4349 | 3131 |
| 3132 if (ip != 0.0 || lo_ieee_signbit (ip)) | |
| 3133 return false; | |
| 3134 } | |
| 3135 } | |
| 2408 | 3136 |
| 3137 return true; | |
| 3138 } | |
| 3139 | |
| 1968 | 3140 // Return nonzero if any element of CM has a non-integer real or |
| 3141 // imaginary part. Also extract the largest and smallest (real or | |
| 3142 // imaginary) values and return them in MAX_VAL and MIN_VAL. | |
| 3143 | |
| 2384 | 3144 bool |
| 1968 | 3145 ComplexMatrix::all_integers (double& max_val, double& min_val) const |
| 3146 { | |
| 5275 | 3147 octave_idx_type nr = rows (); |
| 3148 octave_idx_type nc = cols (); | |
| 1968 | 3149 |
| 3150 if (nr > 0 && nc > 0) | |
| 3151 { | |
| 3152 Complex val = elem (0, 0); | |
| 3153 | |
| 5315 | 3154 double r_val = std::real (val); |
| 3155 double i_val = std::imag (val); | |
| 1968 | 3156 |
| 3157 max_val = r_val; | |
| 3158 min_val = r_val; | |
| 3159 | |
| 3160 if (i_val > max_val) | |
| 3161 max_val = i_val; | |
| 3162 | |
| 3163 if (i_val < max_val) | |
| 3164 min_val = i_val; | |
| 3165 } | |
| 3166 else | |
| 2384 | 3167 return false; |
| 1968 | 3168 |
| 5275 | 3169 for (octave_idx_type j = 0; j < nc; j++) |
| 3170 for (octave_idx_type i = 0; i < nr; i++) | |
| 1968 | 3171 { |
| 3172 Complex val = elem (i, j); | |
| 3173 | |
| 5315 | 3174 double r_val = std::real (val); |
| 3175 double i_val = std::imag (val); | |
| 1968 | 3176 |
| 3177 if (r_val > max_val) | |
| 3178 max_val = r_val; | |
| 3179 | |
| 3180 if (i_val > max_val) | |
| 3181 max_val = i_val; | |
| 3182 | |
| 3183 if (r_val < min_val) | |
| 3184 min_val = r_val; | |
| 3185 | |
| 3186 if (i_val < min_val) | |
| 3187 min_val = i_val; | |
| 3188 | |
| 3189 if (D_NINT (r_val) != r_val || D_NINT (i_val) != i_val) | |
| 2384 | 3190 return false; |
| 1968 | 3191 } |
| 2384 | 3192 |
| 3193 return true; | |
| 1968 | 3194 } |
| 3195 | |
| 2384 | 3196 bool |
| 1968 | 3197 ComplexMatrix::too_large_for_float (void) const |
| 3198 { | |
| 5275 | 3199 octave_idx_type nr = rows (); |
| 3200 octave_idx_type nc = cols (); | |
| 3201 | |
| 3202 for (octave_idx_type j = 0; j < nc; j++) | |
| 3203 for (octave_idx_type i = 0; i < nr; i++) | |
| 1968 | 3204 { |
| 3205 Complex val = elem (i, j); | |
| 3206 | |
| 5315 | 3207 double r_val = std::real (val); |
| 3208 double i_val = std::imag (val); | |
| 1968 | 3209 |
| 5389 | 3210 if ((! (xisnan (r_val) || xisinf (r_val)) |
| 5387 | 3211 && fabs (r_val) > FLT_MAX) |
| 5389 | 3212 || (! (xisnan (i_val) || xisinf (i_val)) |
| 5387 | 3213 && fabs (i_val) > FLT_MAX)) |
| 2384 | 3214 return true; |
| 1968 | 3215 } |
| 3216 | |
| 2384 | 3217 return false; |
| 1968 | 3218 } |
| 3219 | |
| 5775 | 3220 // FIXME Do these really belong here? Maybe they should be |
| 4015 | 3221 // in a base class? |
| 3222 | |
| 2832 | 3223 boolMatrix |
| 4015 | 3224 ComplexMatrix::all (int dim) const |
| 458 | 3225 { |
|
9227
8145f2255276
use explicit template qualifs to please Intel C++ and MSVC++
Jaroslav Hajek <highegg@gmail.com>
parents:
8999
diff
changeset
|
3226 return do_mx_red_op<boolMatrix, Complex> (*this, dim, mx_inline_all); |
| 458 | 3227 } |
| 3228 | |
| 2832 | 3229 boolMatrix |
| 4015 | 3230 ComplexMatrix::any (int dim) const |
| 458 | 3231 { |
|
9227
8145f2255276
use explicit template qualifs to please Intel C++ and MSVC++
Jaroslav Hajek <highegg@gmail.com>
parents:
8999
diff
changeset
|
3232 return do_mx_red_op<boolMatrix, Complex> (*this, dim, mx_inline_any); |
| 458 | 3233 } |
| 3234 | |
| 3235 ComplexMatrix | |
| 3723 | 3236 ComplexMatrix::cumprod (int dim) const |
| 458 | 3237 { |
|
9227
8145f2255276
use explicit template qualifs to please Intel C++ and MSVC++
Jaroslav Hajek <highegg@gmail.com>
parents:
8999
diff
changeset
|
3238 return do_mx_cum_op<ComplexMatrix, Complex> (*this, dim, mx_inline_cumprod); |
| 458 | 3239 } |
| 3240 | |
| 3241 ComplexMatrix | |
| 3723 | 3242 ComplexMatrix::cumsum (int dim) const |
| 458 | 3243 { |
|
9227
8145f2255276
use explicit template qualifs to please Intel C++ and MSVC++
Jaroslav Hajek <highegg@gmail.com>
parents:
8999
diff
changeset
|
3244 return do_mx_cum_op<ComplexMatrix, Complex> (*this, dim, mx_inline_cumsum); |
| 458 | 3245 } |
| 3246 | |
| 3247 ComplexMatrix | |
| 3723 | 3248 ComplexMatrix::prod (int dim) const |
| 458 | 3249 { |
|
9227
8145f2255276
use explicit template qualifs to please Intel C++ and MSVC++
Jaroslav Hajek <highegg@gmail.com>
parents:
8999
diff
changeset
|
3250 return do_mx_red_op<ComplexMatrix, Complex> (*this, dim, mx_inline_prod); |
| 458 | 3251 } |
| 3252 | |
| 3253 ComplexMatrix | |
| 3723 | 3254 ComplexMatrix::sum (int dim) const |
| 458 | 3255 { |
|
9227
8145f2255276
use explicit template qualifs to please Intel C++ and MSVC++
Jaroslav Hajek <highegg@gmail.com>
parents:
8999
diff
changeset
|
3256 return do_mx_red_op<ComplexMatrix, Complex> (*this, dim, mx_inline_sum); |
| 458 | 3257 } |
| 3258 | |
| 3259 ComplexMatrix | |
| 3723 | 3260 ComplexMatrix::sumsq (int dim) const |
| 458 | 3261 { |
|
9227
8145f2255276
use explicit template qualifs to please Intel C++ and MSVC++
Jaroslav Hajek <highegg@gmail.com>
parents:
8999
diff
changeset
|
3262 return do_mx_red_op<Matrix, Complex> (*this, dim, mx_inline_sumsq); |
| 458 | 3263 } |
| 3264 | |
| 4329 | 3265 Matrix ComplexMatrix::abs (void) const |
| 3266 { | |
|
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
|
3267 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
|
3268 rows (), cols ()); |
| 4329 | 3269 } |
| 3270 | |
|
7620
36594d5bbe13
Move diag function into the octave_value class
David Bateman <dbateman@free.fr>
parents:
7544
diff
changeset
|
3271 ComplexMatrix |
| 5275 | 3272 ComplexMatrix::diag (octave_idx_type k) const |
| 458 | 3273 { |
|
7620
36594d5bbe13
Move diag function into the octave_value class
David Bateman <dbateman@free.fr>
parents:
7544
diff
changeset
|
3274 return MArray2<Complex>::diag (k); |
| 458 | 3275 } |
| 3276 | |
| 2354 | 3277 bool |
| 5275 | 3278 ComplexMatrix::row_is_real_only (octave_idx_type i) const |
| 2354 | 3279 { |
| 3280 bool retval = true; | |
| 3281 | |
| 5275 | 3282 octave_idx_type nc = columns (); |
| 3283 | |
| 3284 for (octave_idx_type j = 0; j < nc; j++) | |
| 2354 | 3285 { |
| 5315 | 3286 if (std::imag (elem (i, j)) != 0.0) |
| 2354 | 3287 { |
| 3288 retval = false; | |
| 3289 break; | |
| 3290 } | |
| 3291 } | |
| 3292 | |
| 3293 return retval; | |
| 3294 } | |
| 3295 | |
| 3296 bool | |
| 5275 | 3297 ComplexMatrix::column_is_real_only (octave_idx_type j) const |
| 2354 | 3298 { |
| 3299 bool retval = true; | |
| 3300 | |
| 5275 | 3301 octave_idx_type nr = rows (); |
| 3302 | |
| 3303 for (octave_idx_type i = 0; i < nr; i++) | |
| 2354 | 3304 { |
| 5315 | 3305 if (std::imag (elem (i, j)) != 0.0) |
| 2354 | 3306 { |
| 3307 retval = false; | |
| 3308 break; | |
| 3309 } | |
| 3310 } | |
| 3311 | |
| 3312 return retval; | |
| 3313 } | |
| 891 | 3314 |
| 458 | 3315 ComplexColumnVector |
| 3316 ComplexMatrix::row_min (void) const | |
| 3317 { | |
| 5275 | 3318 Array<octave_idx_type> dummy_idx; |
| 4587 | 3319 return row_min (dummy_idx); |
| 458 | 3320 } |
| 3321 | |
| 3322 ComplexColumnVector | |
| 5275 | 3323 ComplexMatrix::row_min (Array<octave_idx_type>& idx_arg) const |
| 458 | 3324 { |
| 3325 ComplexColumnVector result; | |
| 3326 | |
| 5275 | 3327 octave_idx_type nr = rows (); |
| 3328 octave_idx_type nc = cols (); | |
| 458 | 3329 |
| 3330 if (nr > 0 && nc > 0) | |
| 3331 { | |
| 3332 result.resize (nr); | |
| 4587 | 3333 idx_arg.resize (nr); |
| 458 | 3334 |
| 5275 | 3335 for (octave_idx_type i = 0; i < nr; i++) |
| 458 | 3336 { |
| 2354 | 3337 bool real_only = row_is_real_only (i); |
| 3338 | |
| 5275 | 3339 octave_idx_type idx_j; |
| 4469 | 3340 |
| 3341 Complex tmp_min; | |
| 3342 | |
| 3343 double abs_min = octave_NaN; | |
| 3344 | |
| 3345 for (idx_j = 0; idx_j < nc; idx_j++) | |
| 3346 { | |
| 3347 tmp_min = elem (i, idx_j); | |
| 3348 | |
| 5389 | 3349 if (! xisnan (tmp_min)) |
| 4469 | 3350 { |
| 5315 | 3351 abs_min = real_only ? std::real (tmp_min) : std::abs (tmp_min); |
| 4469 | 3352 break; |
| 3353 } | |
| 3354 } | |
| 3355 | |
| 5275 | 3356 for (octave_idx_type j = idx_j+1; j < nc; j++) |
| 4469 | 3357 { |
| 3358 Complex tmp = elem (i, j); | |
| 3359 | |
| 5389 | 3360 if (xisnan (tmp)) |
| 4469 | 3361 continue; |
| 3362 | |
| 5315 | 3363 double abs_tmp = real_only ? std::real (tmp) : std::abs (tmp); |
| 4469 | 3364 |
| 3365 if (abs_tmp < abs_min) | |
| 3366 { | |
| 3367 idx_j = j; | |
| 3368 tmp_min = tmp; | |
| 3369 abs_min = abs_tmp; | |
| 3370 } | |
| 3371 } | |
| 3372 | |
| 5389 | 3373 if (xisnan (tmp_min)) |
| 4469 | 3374 { |
| 3375 result.elem (i) = Complex_NaN_result; | |
| 4587 | 3376 idx_arg.elem (i) = 0; |
| 4469 | 3377 } |
| 891 | 3378 else |
| 3379 { | |
| 4469 | 3380 result.elem (i) = tmp_min; |
| 4587 | 3381 idx_arg.elem (i) = idx_j; |
| 891 | 3382 } |
| 458 | 3383 } |
| 3384 } | |
| 3385 | |
| 3386 return result; | |
| 3387 } | |
| 3388 | |
| 3389 ComplexColumnVector | |
| 3390 ComplexMatrix::row_max (void) const | |
| 3391 { | |
| 5275 | 3392 Array<octave_idx_type> dummy_idx; |
| 4587 | 3393 return row_max (dummy_idx); |
| 458 | 3394 } |
| 3395 | |
| 3396 ComplexColumnVector | |
| 5275 | 3397 ComplexMatrix::row_max (Array<octave_idx_type>& idx_arg) const |
| 458 | 3398 { |
| 3399 ComplexColumnVector result; | |
| 3400 | |
| 5275 | 3401 octave_idx_type nr = rows (); |
| 3402 octave_idx_type nc = cols (); | |
| 458 | 3403 |
| 3404 if (nr > 0 && nc > 0) | |
| 3405 { | |
| 3406 result.resize (nr); | |
| 4587 | 3407 idx_arg.resize (nr); |
| 458 | 3408 |
| 5275 | 3409 for (octave_idx_type i = 0; i < nr; i++) |
| 458 | 3410 { |
| 2354 | 3411 bool real_only = row_is_real_only (i); |
| 3412 | |
| 5275 | 3413 octave_idx_type idx_j; |
| 4469 | 3414 |
| 3415 Complex tmp_max; | |
| 3416 | |
| 3417 double abs_max = octave_NaN; | |
| 3418 | |
| 3419 for (idx_j = 0; idx_j < nc; idx_j++) | |
| 3420 { | |
| 3421 tmp_max = elem (i, idx_j); | |
| 3422 | |
| 5389 | 3423 if (! xisnan (tmp_max)) |
| 4469 | 3424 { |
| 5315 | 3425 abs_max = real_only ? std::real (tmp_max) : std::abs (tmp_max); |
| 4469 | 3426 break; |
| 3427 } | |
| 3428 } | |
| 3429 | |
| 5275 | 3430 for (octave_idx_type j = idx_j+1; j < nc; j++) |
| 4469 | 3431 { |
| 3432 Complex tmp = elem (i, j); | |
| 3433 | |
| 5389 | 3434 if (xisnan (tmp)) |
| 4469 | 3435 continue; |
| 3436 | |
| 5315 | 3437 double abs_tmp = real_only ? std::real (tmp) : std::abs (tmp); |
| 4469 | 3438 |
| 3439 if (abs_tmp > abs_max) | |
| 3440 { | |
| 3441 idx_j = j; | |
| 3442 tmp_max = tmp; | |
| 3443 abs_max = abs_tmp; | |
| 3444 } | |
| 3445 } | |
| 3446 | |
| 5389 | 3447 if (xisnan (tmp_max)) |
| 4469 | 3448 { |
| 3449 result.elem (i) = Complex_NaN_result; | |
| 4587 | 3450 idx_arg.elem (i) = 0; |
| 4469 | 3451 } |
| 891 | 3452 else |
| 3453 { | |
| 4469 | 3454 result.elem (i) = tmp_max; |
| 4587 | 3455 idx_arg.elem (i) = idx_j; |
| 891 | 3456 } |
| 458 | 3457 } |
| 3458 } | |
| 3459 | |
| 3460 return result; | |
| 3461 } | |
| 3462 | |
| 3463 ComplexRowVector | |
| 3464 ComplexMatrix::column_min (void) const | |
| 3465 { | |
| 5275 | 3466 Array<octave_idx_type> dummy_idx; |
| 4587 | 3467 return column_min (dummy_idx); |
| 458 | 3468 } |
| 3469 | |
| 3470 ComplexRowVector | |
| 5275 | 3471 ComplexMatrix::column_min (Array<octave_idx_type>& idx_arg) const |
| 458 | 3472 { |
| 3473 ComplexRowVector result; | |
| 3474 | |
| 5275 | 3475 octave_idx_type nr = rows (); |
| 3476 octave_idx_type nc = cols (); | |
| 458 | 3477 |
| 3478 if (nr > 0 && nc > 0) | |
| 3479 { | |
| 3480 result.resize (nc); | |
| 4587 | 3481 idx_arg.resize (nc); |
| 458 | 3482 |
| 5275 | 3483 for (octave_idx_type j = 0; j < nc; j++) |
| 458 | 3484 { |
| 2354 | 3485 bool real_only = column_is_real_only (j); |
| 3486 | |
| 5275 | 3487 octave_idx_type idx_i; |
| 4469 | 3488 |
| 3489 Complex tmp_min; | |
| 3490 | |
| 3491 double abs_min = octave_NaN; | |
| 3492 | |
| 3493 for (idx_i = 0; idx_i < nr; idx_i++) | |
| 3494 { | |
| 3495 tmp_min = elem (idx_i, j); | |
| 3496 | |
| 5389 | 3497 if (! xisnan (tmp_min)) |
| 4469 | 3498 { |
| 5315 | 3499 abs_min = real_only ? std::real (tmp_min) : std::abs (tmp_min); |
| 4469 | 3500 break; |
| 3501 } | |
| 3502 } | |
| 3503 | |
| 5275 | 3504 for (octave_idx_type i = idx_i+1; i < nr; i++) |
| 4469 | 3505 { |
| 3506 Complex tmp = elem (i, j); | |
| 3507 | |
| 5389 | 3508 if (xisnan (tmp)) |
| 4469 | 3509 continue; |
| 3510 | |
| 5315 | 3511 double abs_tmp = real_only ? std::real (tmp) : std::abs (tmp); |
| 4469 | 3512 |
| 3513 if (abs_tmp < abs_min) | |
| 3514 { | |
| 3515 idx_i = i; | |
| 3516 tmp_min = tmp; | |
| 3517 abs_min = abs_tmp; | |
| 3518 } | |
| 3519 } | |
| 3520 | |
| 5389 | 3521 if (xisnan (tmp_min)) |
| 4469 | 3522 { |
| 3523 result.elem (j) = Complex_NaN_result; | |
| 4587 | 3524 idx_arg.elem (j) = 0; |
| 4469 | 3525 } |
| 891 | 3526 else |
| 3527 { | |
| 4469 | 3528 result.elem (j) = tmp_min; |
| 4587 | 3529 idx_arg.elem (j) = idx_i; |
| 891 | 3530 } |
| 458 | 3531 } |
| 3532 } | |
| 3533 | |
| 3534 return result; | |
| 3535 } | |
| 3536 | |
| 3537 ComplexRowVector | |
| 3538 ComplexMatrix::column_max (void) const | |
| 3539 { | |
| 5275 | 3540 Array<octave_idx_type> dummy_idx; |
| 4587 | 3541 return column_max (dummy_idx); |
| 458 | 3542 } |
| 3543 | |
| 3544 ComplexRowVector | |
| 5275 | 3545 ComplexMatrix::column_max (Array<octave_idx_type>& idx_arg) const |
| 458 | 3546 { |
| 3547 ComplexRowVector result; | |
| 3548 | |
| 5275 | 3549 octave_idx_type nr = rows (); |
| 3550 octave_idx_type nc = cols (); | |
| 458 | 3551 |
| 3552 if (nr > 0 && nc > 0) | |
| 3553 { | |
| 3554 result.resize (nc); | |
| 4587 | 3555 idx_arg.resize (nc); |
| 458 | 3556 |
| 5275 | 3557 for (octave_idx_type j = 0; j < nc; j++) |
| 458 | 3558 { |
| 2354 | 3559 bool real_only = column_is_real_only (j); |
| 3560 | |
| 5275 | 3561 octave_idx_type idx_i; |
| 4469 | 3562 |
| 3563 Complex tmp_max; | |
| 3564 | |
| 3565 double abs_max = octave_NaN; | |
| 3566 | |
| 3567 for (idx_i = 0; idx_i < nr; idx_i++) | |
| 3568 { | |
| 3569 tmp_max = elem (idx_i, j); | |
| 3570 | |
| 5389 | 3571 if (! xisnan (tmp_max)) |
| 4469 | 3572 { |
| 5315 | 3573 abs_max = real_only ? std::real (tmp_max) : std::abs (tmp_max); |
| 4469 | 3574 break; |
| 3575 } | |
| 3576 } | |
| 3577 | |
| 5275 | 3578 for (octave_idx_type i = idx_i+1; i < nr; i++) |
| 4469 | 3579 { |
| 3580 Complex tmp = elem (i, j); | |
| 3581 | |
| 5389 | 3582 if (xisnan (tmp)) |
| 4469 | 3583 continue; |
| 3584 | |
| 5315 | 3585 double abs_tmp = real_only ? std::real (tmp) : std::abs (tmp); |
| 4469 | 3586 |
| 3587 if (abs_tmp > abs_max) | |
| 3588 { | |
| 3589 idx_i = i; | |
| 3590 tmp_max = tmp; | |
| 3591 abs_max = abs_tmp; | |
| 3592 } | |
| 3593 } | |
| 3594 | |
| 5389 | 3595 if (xisnan (tmp_max)) |
| 4469 | 3596 { |
| 3597 result.elem (j) = Complex_NaN_result; | |
| 4587 | 3598 idx_arg.elem (j) = 0; |
| 4469 | 3599 } |
| 891 | 3600 else |
| 3601 { | |
| 4469 | 3602 result.elem (j) = tmp_max; |
| 4587 | 3603 idx_arg.elem (j) = idx_i; |
| 891 | 3604 } |
| 458 | 3605 } |
| 3606 } | |
| 3607 | |
| 3608 return result; | |
| 3609 } | |
| 3610 | |
| 3611 // i/o | |
| 3612 | |
| 3504 | 3613 std::ostream& |
| 3614 operator << (std::ostream& os, const ComplexMatrix& a) | |
| 458 | 3615 { |
| 5275 | 3616 for (octave_idx_type i = 0; i < a.rows (); i++) |
| 458 | 3617 { |
| 5275 | 3618 for (octave_idx_type j = 0; j < a.cols (); j++) |
| 4130 | 3619 { |
| 3620 os << " "; | |
| 3621 octave_write_complex (os, a.elem (i, j)); | |
| 3622 } | |
| 458 | 3623 os << "\n"; |
| 3624 } | |
| 3625 return os; | |
| 3626 } | |
| 3627 | |
| 3504 | 3628 std::istream& |
| 3629 operator >> (std::istream& is, ComplexMatrix& a) | |
| 458 | 3630 { |
| 5275 | 3631 octave_idx_type nr = a.rows (); |
| 3632 octave_idx_type nc = a.cols (); | |
| 458 | 3633 |
|
8999
dc07bc4157b8
allow empty matrices in stream input operators
Jaroslav Hajek <highegg@gmail.com>
parents:
8956
diff
changeset
|
3634 if (nr > 0 && nc > 0) |
| 458 | 3635 { |
| 3636 Complex tmp; | |
| 5275 | 3637 for (octave_idx_type i = 0; i < nr; i++) |
| 3638 for (octave_idx_type j = 0; j < nc; j++) | |
| 458 | 3639 { |
|
9469
c6edba80dfae
sanity checks for loading sparse matrices
John W. Eaton <jwe@octave.org>
parents:
9359
diff
changeset
|
3640 tmp = octave_read_value<Complex> (is); |
| 458 | 3641 if (is) |
| 3642 a.elem (i, j) = tmp; | |
| 3643 else | |
| 2993 | 3644 goto done; |
| 458 | 3645 } |
| 3646 } | |
| 3647 | |
| 2993 | 3648 done: |
| 3649 | |
| 458 | 3650 return is; |
| 3651 } | |
| 3652 | |
| 1819 | 3653 ComplexMatrix |
| 3654 Givens (const Complex& x, const Complex& y) | |
| 3655 { | |
| 3656 double cc; | |
| 3657 Complex cs, temp_r; | |
| 3658 | |
| 3887 | 3659 F77_FUNC (zlartg, ZLARTG) (x, y, cc, cs, temp_r); |
| 1819 | 3660 |
| 3661 ComplexMatrix g (2, 2); | |
| 3662 | |
| 3663 g.elem (0, 0) = cc; | |
| 3664 g.elem (1, 1) = cc; | |
| 3665 g.elem (0, 1) = cs; | |
| 3666 g.elem (1, 0) = -conj (cs); | |
| 3667 | |
| 3668 return g; | |
| 3669 } | |
| 3670 | |
| 3671 ComplexMatrix | |
| 3672 Sylvester (const ComplexMatrix& a, const ComplexMatrix& b, | |
| 3673 const ComplexMatrix& c) | |
| 3674 { | |
| 3675 ComplexMatrix retval; | |
| 3676 | |
| 5775 | 3677 // FIXME -- need to check that a, b, and c are all the same |
| 1819 | 3678 // size. |
| 3679 | |
| 3680 // Compute Schur decompositions | |
| 3681 | |
| 3682 ComplexSCHUR as (a, "U"); | |
| 3683 ComplexSCHUR bs (b, "U"); | |
| 3684 | |
| 3685 // Transform c to new coordinates. | |
| 3686 | |
| 3687 ComplexMatrix ua = as.unitary_matrix (); | |
| 3688 ComplexMatrix sch_a = as.schur_matrix (); | |
| 3689 | |
| 3690 ComplexMatrix ub = bs.unitary_matrix (); | |
| 3691 ComplexMatrix sch_b = bs.schur_matrix (); | |
| 3692 | |
| 3693 ComplexMatrix cx = ua.hermitian () * c * ub; | |
| 3694 | |
| 3695 // Solve the sylvester equation, back-transform, and return the | |
| 3696 // solution. | |
| 3697 | |
| 5275 | 3698 octave_idx_type a_nr = a.rows (); |
| 3699 octave_idx_type b_nr = b.rows (); | |
| 1819 | 3700 |
| 3701 double scale; | |
| 5275 | 3702 octave_idx_type info; |
| 1950 | 3703 |
| 3704 Complex *pa = sch_a.fortran_vec (); | |
| 3705 Complex *pb = sch_b.fortran_vec (); | |
| 3706 Complex *px = cx.fortran_vec (); | |
| 1819 | 3707 |
| 4552 | 3708 F77_XFCN (ztrsyl, ZTRSYL, (F77_CONST_CHAR_ARG2 ("N", 1), |
| 3709 F77_CONST_CHAR_ARG2 ("N", 1), | |
| 3710 1, a_nr, b_nr, pa, a_nr, pb, | |
| 3711 b_nr, px, a_nr, scale, info | |
| 3712 F77_CHAR_ARG_LEN (1) | |
| 3713 F77_CHAR_ARG_LEN (1))); | |
| 1950 | 3714 |
|
7482
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
3715 // FIXME -- check info? |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
3716 |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
3717 retval = -ua * cx * ub.hermitian (); |
| 1819 | 3718 |
| 3719 return retval; | |
| 3720 } | |
| 3721 | |
| 2828 | 3722 ComplexMatrix |
| 3723 operator * (const ComplexMatrix& m, const Matrix& a) | |
| 3724 { | |
| 3725 ComplexMatrix tmp (a); | |
| 3726 return m * tmp; | |
| 3727 } | |
| 3728 | |
| 3729 ComplexMatrix | |
| 3730 operator * (const Matrix& m, const ComplexMatrix& a) | |
| 3731 { | |
| 3732 ComplexMatrix tmp (m); | |
| 3733 return tmp * a; | |
| 3734 } | |
| 3735 | |
| 6162 | 3736 /* Simple Dot Product, Matrix-Vector and Matrix-Matrix Unit tests |
| 3737 %!assert([1+i 2+i 3+i] * [ 4+i ; 5+i ; 6+i], 29+21i, 1e-14) | |
| 3738 %!assert([1+i 2+i ; 3+i 4+i ] * [5+i ; 6+i], [15 + 14i ; 37 + 18i], 1e-14) | |
| 3739 %!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) | |
|
9526
f3ebc728ffd7
fix typos in complex xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9523
diff
changeset
|
3740 %!assert([1 i]*[i 0]', -i); |
| 6162 | 3741 */ |
| 3742 | |
| 3743 /* Test some simple identities | |
| 3744 %!shared M, cv, rv | |
| 3745 %! M = randn(10,10)+i*rand(10,10); | |
| 3746 %! cv = randn(10,1)+i*rand(10,1); | |
| 3747 %! rv = randn(1,10)+i*rand(1,10); | |
| 3748 %!assert([M*cv,M*cv],M*[cv,cv],1e-14) | |
|
9528
ec066ba012c8
more fixes & tests for matrix multiply
Jaroslav Hajek <highegg@gmail.com>
parents:
9526
diff
changeset
|
3749 %!assert([M.'*cv,M.'*cv],M.'*[cv,cv],1e-14) |
|
ec066ba012c8
more fixes & tests for matrix multiply
Jaroslav Hajek <highegg@gmail.com>
parents:
9526
diff
changeset
|
3750 %!assert([M'*cv,M'*cv],M'*[cv,cv],1e-14) |
| 6162 | 3751 %!assert([rv*M;rv*M],[rv;rv]*M,1e-14) |
|
9528
ec066ba012c8
more fixes & tests for matrix multiply
Jaroslav Hajek <highegg@gmail.com>
parents:
9526
diff
changeset
|
3752 %!assert([rv*M.';rv*M.'],[rv;rv]*M.',1e-14) |
|
ec066ba012c8
more fixes & tests for matrix multiply
Jaroslav Hajek <highegg@gmail.com>
parents:
9526
diff
changeset
|
3753 %!assert([rv*M';rv*M'],[rv;rv]*M',1e-14) |
| 6162 | 3754 %!assert(2*rv*cv,[rv,rv]*[cv;cv],1e-14) |
| 3755 */ | |
| 3756 | |
|
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
|
3757 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
|
3758 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
|
3759 { |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3760 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
|
3761 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
|
3762 } |
|
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 |
|
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 // 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
|
3765 |
| 2828 | 3766 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
|
3767 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
|
3768 bool transb, bool conjb, const ComplexMatrix& b) |
| 2828 | 3769 { |
| 3770 ComplexMatrix retval; | |
| 3771 | |
|
7800
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3772 // 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
|
3773 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
|
3774 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
|
3775 |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3776 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
|
3777 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
|
3778 |
|
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 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
|
3780 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
|
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 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
|
3783 gripe_nonconformant ("operator *", a_nr, a_nc, b_nr, b_nc); |
| 2828 | 3784 else |
| 3785 { | |
|
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
|
3786 if (a_nr == 0 || a_nc == 0 || b_nc == 0) |
|
9359
be6867ba8104
avoid useless zero initialization when doing matrix multiply
Jaroslav Hajek <highegg@gmail.com>
parents:
9227
diff
changeset
|
3787 retval = ComplexMatrix (a_nr, b_nc, 0.0); |
|
7801
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3788 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
|
3789 { |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3790 octave_idx_type lda = a.rows (); |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3791 |
|
9359
be6867ba8104
avoid useless zero initialization when doing matrix multiply
Jaroslav Hajek <highegg@gmail.com>
parents:
9227
diff
changeset
|
3792 retval = ComplexMatrix (a_nr, b_nc); |
|
7801
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3793 Complex *c = retval.fortran_vec (); |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3794 |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3795 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
|
3796 if (conja || conjb) |
|
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 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
|
3799 F77_CONST_CHAR_ARG2 (ctransa, 1), |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3800 a_nr, a_nc, 1.0, |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3801 a.data (), lda, 0.0, c, a_nr |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3802 F77_CHAR_ARG_LEN (1) |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3803 F77_CHAR_ARG_LEN (1))); |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3804 for (int j = 0; j < a_nr; j++) |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3805 for (int i = 0; i < j; i++) |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3806 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
|
3807 } |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3808 else |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3809 { |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3810 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
|
3811 F77_CONST_CHAR_ARG2 (ctransa, 1), |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3812 a_nr, a_nc, 1.0, |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3813 a.data (), lda, 0.0, c, a_nr |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3814 F77_CHAR_ARG_LEN (1) |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3815 F77_CHAR_ARG_LEN (1))); |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3816 for (int j = 0; j < a_nr; j++) |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3817 for (int i = 0; i < j; i++) |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3818 retval.xelem (j,i) = retval.xelem (i,j); |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3819 |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3820 } |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3821 |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3822 } |
| 2828 | 3823 else |
| 3824 { | |
|
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
|
3825 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
|
3826 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
|
3827 |
|
9359
be6867ba8104
avoid useless zero initialization when doing matrix multiply
Jaroslav Hajek <highegg@gmail.com>
parents:
9227
diff
changeset
|
3828 retval = ComplexMatrix (a_nr, b_nc); |
| 2828 | 3829 Complex *c = retval.fortran_vec (); |
| 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 if (b_nc == 1 && a_nr == 1) |
| 5983 | 3832 { |
|
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
|
3833 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
|
3834 { |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3835 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
|
3836 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
|
3837 } |
|
9526
f3ebc728ffd7
fix typos in complex xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9523
diff
changeset
|
3838 else if (conja) |
|
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 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
|
3840 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
|
3841 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
|
3842 } |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3843 else if (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
|
3844 { |
|
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 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
|
3846 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
|
3847 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
|
3848 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
|
3849 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
|
3850 } |
|
9528
ec066ba012c8
more fixes & tests for matrix multiply
Jaroslav Hajek <highegg@gmail.com>
parents:
9526
diff
changeset
|
3851 else if (a_nr == 1 && ! conja && ! conjb) |
|
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
|
3852 { |
|
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 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
|
3854 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
|
3855 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
|
3856 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
|
3857 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
|
3858 } |
| 5983 | 3859 else |
| 6390 | 3860 { |
|
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
|
3861 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
|
3862 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
|
3863 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
|
3864 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
|
3865 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
|
3866 lda, b.data (), ldb, 0.0, c, a_nr |
| 6390 | 3867 F77_CHAR_ARG_LEN (1) |
| 3868 F77_CHAR_ARG_LEN (1))); | |
| 3869 } | |
| 2828 | 3870 } |
| 3871 } | |
| 3872 | |
| 3873 return retval; | |
| 3874 } | |
| 3875 | |
|
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
|
3876 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
|
3877 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
|
3878 { |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3879 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
|
3880 } |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3881 |
| 5775 | 3882 // FIXME -- it would be nice to share code among the min/max |
| 4309 | 3883 // functions below. |
| 3884 | |
| 3885 #define EMPTY_RETURN_CHECK(T) \ | |
| 3886 if (nr == 0 || nc == 0) \ | |
| 3887 return T (nr, nc); | |
| 3888 | |
| 3889 ComplexMatrix | |
| 3890 min (const Complex& c, const ComplexMatrix& m) | |
| 3891 { | |
| 5275 | 3892 octave_idx_type nr = m.rows (); |
| 3893 octave_idx_type nc = m.columns (); | |
| 4309 | 3894 |
| 3895 EMPTY_RETURN_CHECK (ComplexMatrix); | |
| 3896 | |
| 3897 ComplexMatrix result (nr, nc); | |
| 3898 | |
| 5275 | 3899 for (octave_idx_type j = 0; j < nc; j++) |
| 3900 for (octave_idx_type i = 0; i < nr; i++) | |
| 4309 | 3901 { |
| 3902 OCTAVE_QUIT; | |
| 3903 result (i, j) = xmin (c, m (i, j)); | |
| 3904 } | |
| 3905 | |
| 3906 return result; | |
| 3907 } | |
| 3908 | |
| 3909 ComplexMatrix | |
| 3910 min (const ComplexMatrix& m, const Complex& c) | |
| 3911 { | |
| 5275 | 3912 octave_idx_type nr = m.rows (); |
| 3913 octave_idx_type nc = m.columns (); | |
| 4309 | 3914 |
| 3915 EMPTY_RETURN_CHECK (ComplexMatrix); | |
| 3916 | |
| 3917 ComplexMatrix result (nr, nc); | |
| 3918 | |
| 5275 | 3919 for (octave_idx_type j = 0; j < nc; j++) |
| 3920 for (octave_idx_type i = 0; i < nr; i++) | |
| 4309 | 3921 { |
| 3922 OCTAVE_QUIT; | |
| 3923 result (i, j) = xmin (m (i, j), c); | |
| 3924 } | |
| 3925 | |
| 3926 return result; | |
| 3927 } | |
| 3928 | |
| 3929 ComplexMatrix | |
| 3930 min (const ComplexMatrix& a, const ComplexMatrix& b) | |
| 3931 { | |
| 5275 | 3932 octave_idx_type nr = a.rows (); |
| 3933 octave_idx_type nc = a.columns (); | |
| 4309 | 3934 |
| 3935 if (nr != b.rows () || nc != b.columns ()) | |
| 3936 { | |
| 3937 (*current_liboctave_error_handler) | |
| 3938 ("two-arg min expecting args of same size"); | |
| 3939 return ComplexMatrix (); | |
| 3940 } | |
| 3941 | |
| 3942 EMPTY_RETURN_CHECK (ComplexMatrix); | |
| 3943 | |
| 3944 ComplexMatrix result (nr, nc); | |
| 3945 | |
| 5275 | 3946 for (octave_idx_type j = 0; j < nc; j++) |
| 4309 | 3947 { |
| 3948 int columns_are_real_only = 1; | |
| 5275 | 3949 for (octave_idx_type i = 0; i < nr; i++) |
| 4309 | 3950 { |
| 3951 OCTAVE_QUIT; | |
| 5315 | 3952 if (std::imag (a (i, j)) != 0.0 || std::imag (b (i, j)) != 0.0) |
| 4309 | 3953 { |
| 3954 columns_are_real_only = 0; | |
| 3955 break; | |
| 3956 } | |
| 3957 } | |
| 3958 | |
| 3959 if (columns_are_real_only) | |
| 3960 { | |
| 5275 | 3961 for (octave_idx_type i = 0; i < nr; i++) |
| 5315 | 3962 result (i, j) = xmin (std::real (a (i, j)), std::real (b (i, j))); |
| 4309 | 3963 } |
| 3964 else | |
| 3965 { | |
| 5275 | 3966 for (octave_idx_type i = 0; i < nr; i++) |
| 4309 | 3967 { |
| 3968 OCTAVE_QUIT; | |
| 3969 result (i, j) = xmin (a (i, j), b (i, j)); | |
| 3970 } | |
| 3971 } | |
| 3972 } | |
| 3973 | |
| 3974 return result; | |
| 3975 } | |
| 3976 | |
| 3977 ComplexMatrix | |
| 3978 max (const Complex& c, const ComplexMatrix& m) | |
| 3979 { | |
| 5275 | 3980 octave_idx_type nr = m.rows (); |
| 3981 octave_idx_type nc = m.columns (); | |
| 4309 | 3982 |
| 3983 EMPTY_RETURN_CHECK (ComplexMatrix); | |
| 3984 | |
| 3985 ComplexMatrix result (nr, nc); | |
| 3986 | |
| 5275 | 3987 for (octave_idx_type j = 0; j < nc; j++) |
| 3988 for (octave_idx_type i = 0; i < nr; i++) | |
| 4309 | 3989 { |
| 3990 OCTAVE_QUIT; | |
| 3991 result (i, j) = xmax (c, m (i, j)); | |
| 3992 } | |
| 3993 | |
| 3994 return result; | |
| 3995 } | |
| 3996 | |
| 3997 ComplexMatrix | |
| 3998 max (const ComplexMatrix& m, const Complex& c) | |
| 3999 { | |
| 5275 | 4000 octave_idx_type nr = m.rows (); |
| 4001 octave_idx_type nc = m.columns (); | |
| 4309 | 4002 |
| 4003 EMPTY_RETURN_CHECK (ComplexMatrix); | |
| 4004 | |
| 4005 ComplexMatrix result (nr, nc); | |
| 4006 | |
| 5275 | 4007 for (octave_idx_type j = 0; j < nc; j++) |
| 4008 for (octave_idx_type i = 0; i < nr; i++) | |
| 4309 | 4009 { |
| 4010 OCTAVE_QUIT; | |
| 4011 result (i, j) = xmax (m (i, j), c); | |
| 4012 } | |
| 4013 | |
| 4014 return result; | |
| 4015 } | |
| 4016 | |
| 4017 ComplexMatrix | |
| 4018 max (const ComplexMatrix& a, const ComplexMatrix& b) | |
| 4019 { | |
| 5275 | 4020 octave_idx_type nr = a.rows (); |
| 4021 octave_idx_type nc = a.columns (); | |
| 4309 | 4022 |
| 4023 if (nr != b.rows () || nc != b.columns ()) | |
| 4024 { | |
| 4025 (*current_liboctave_error_handler) | |
| 4026 ("two-arg max expecting args of same size"); | |
| 4027 return ComplexMatrix (); | |
| 4028 } | |
| 4029 | |
| 4030 EMPTY_RETURN_CHECK (ComplexMatrix); | |
| 4031 | |
| 4032 ComplexMatrix result (nr, nc); | |
| 4033 | |
| 5275 | 4034 for (octave_idx_type j = 0; j < nc; j++) |
| 4309 | 4035 { |
| 4036 int columns_are_real_only = 1; | |
| 5275 | 4037 for (octave_idx_type i = 0; i < nr; i++) |
| 4309 | 4038 { |
| 4039 OCTAVE_QUIT; | |
| 5315 | 4040 if (std::imag (a (i, j)) != 0.0 || std::imag (b (i, j)) != 0.0) |
| 4309 | 4041 { |
| 4042 columns_are_real_only = 0; | |
| 4043 break; | |
| 4044 } | |
| 4045 } | |
| 4046 | |
| 4047 if (columns_are_real_only) | |
| 4048 { | |
| 5275 | 4049 for (octave_idx_type i = 0; i < nr; i++) |
| 4309 | 4050 { |
| 4051 OCTAVE_QUIT; | |
| 5315 | 4052 result (i, j) = xmax (std::real (a (i, j)), std::real (b (i, j))); |
| 4309 | 4053 } |
| 4054 } | |
| 4055 else | |
| 4056 { | |
| 5275 | 4057 for (octave_idx_type i = 0; i < nr; i++) |
| 4309 | 4058 { |
| 4059 OCTAVE_QUIT; | |
| 4060 result (i, j) = xmax (a (i, j), b (i, j)); | |
| 4061 } | |
| 4062 } | |
| 4063 } | |
| 4064 | |
| 4065 return result; | |
| 4066 } | |
| 4067 | |
|
9578
7dafdb8b062f
refactor comparison ops implementations
Jaroslav Hajek <highegg@gmail.com>
parents:
9553
diff
changeset
|
4068 MS_CMP_OPS (ComplexMatrix, Complex) |
|
9550
3d6a9aea2aea
refactor binary & bool ops in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9528
diff
changeset
|
4069 MS_BOOL_OPS (ComplexMatrix, Complex) |
| 2870 | 4070 |
|
9578
7dafdb8b062f
refactor comparison ops implementations
Jaroslav Hajek <highegg@gmail.com>
parents:
9553
diff
changeset
|
4071 SM_CMP_OPS (Complex, ComplexMatrix) |
|
9550
3d6a9aea2aea
refactor binary & bool ops in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9528
diff
changeset
|
4072 SM_BOOL_OPS (Complex, ComplexMatrix) |
| 2870 | 4073 |
|
9578
7dafdb8b062f
refactor comparison ops implementations
Jaroslav Hajek <highegg@gmail.com>
parents:
9553
diff
changeset
|
4074 MM_CMP_OPS (ComplexMatrix, ComplexMatrix) |
|
9550
3d6a9aea2aea
refactor binary & bool ops in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9528
diff
changeset
|
4075 MM_BOOL_OPS (ComplexMatrix, ComplexMatrix) |
| 2870 | 4076 |
| 458 | 4077 /* |
| 4078 ;;; Local Variables: *** | |
| 4079 ;;; mode: C++ *** | |
| 4080 ;;; End: *** | |
| 4081 */ |