Mercurial > hg > octave-lyh
annotate liboctave/CMatrix.cc @ 9661:afcf852256d2
optimize / and '\ for triangular matrices
| author | Jaroslav Hajek <highegg@gmail.com> |
|---|---|
| date | Wed, 23 Sep 2009 10:00:16 +0200 |
| parents | 3429c956de6f |
| children | 7e5b4de5fbfe |
| 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 |
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7 Copyright (C) 2009 VZLU Prague, a.s. |
| 458 | 8 |
| 9 This file is part of Octave. | |
| 10 | |
| 11 Octave is free software; you can redistribute it and/or modify it | |
| 12 under the terms of the GNU General Public License as published by the | |
| 7016 | 13 Free Software Foundation; either version 3 of the License, or (at your |
| 14 option) any later version. | |
| 458 | 15 |
| 16 Octave is distributed in the hope that it will be useful, but WITHOUT | |
| 17 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or | |
| 18 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License | |
| 19 for more details. | |
| 20 | |
| 21 You should have received a copy of the GNU General Public License | |
| 7016 | 22 along with Octave; see the file COPYING. If not, see |
| 23 <http://www.gnu.org/licenses/>. | |
| 458 | 24 |
| 25 */ | |
| 26 | |
| 27 #ifdef HAVE_CONFIG_H | |
| 1192 | 28 #include <config.h> |
| 458 | 29 #endif |
| 30 | |
| 1367 | 31 #include <cfloat> |
| 32 | |
| 3503 | 33 #include <iostream> |
| 6209 | 34 #include <vector> |
| 1367 | 35 |
| 5775 | 36 // FIXME |
| 2443 | 37 #ifdef HAVE_SYS_TYPES_H |
| 38 #include <sys/types.h> | |
| 39 #endif | |
| 458 | 40 |
| 4669 | 41 #include "Array-util.h" |
| 2828 | 42 #include "CMatrix.h" |
| 1819 | 43 #include "CmplxAEPBAL.h" |
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44 #include "CmplxCHOL.h" |
| 1819 | 45 #include "CmplxSCHUR.h" |
| 740 | 46 #include "CmplxSVD.h" |
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47 #include "DET.h" |
| 1847 | 48 #include "f77-fcn.h" |
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49 #include "functor.h" |
| 458 | 50 #include "lo-error.h" |
| 2354 | 51 #include "lo-ieee.h" |
| 52 #include "lo-mappers.h" | |
| 1968 | 53 #include "lo-utils.h" |
| 1367 | 54 #include "mx-base.h" |
| 2828 | 55 #include "mx-cm-dm.h" |
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56 #include "mx-cm-s.h" |
| 3176 | 57 #include "mx-dm-cm.h" |
| 1367 | 58 #include "mx-inlines.cc" |
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59 #include "mx-op-defs.h" |
| 1650 | 60 #include "oct-cmplx.h" |
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61 #include "oct-fftw.h" |
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62 #include "oct-locbuf.h" |
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63 #include "oct-norm.h" |
| 458 | 64 |
| 65 // Fortran functions we call. | |
| 66 | |
| 67 extern "C" | |
| 68 { | |
| 7477 | 69 F77_RET_T |
| 70 F77_FUNC (xilaenv, XILAENV) (const octave_idx_type&, F77_CONST_CHAR_ARG_DECL, | |
| 71 F77_CONST_CHAR_ARG_DECL, | |
| 72 const octave_idx_type&, const octave_idx_type&, | |
| 7478 | 73 const octave_idx_type&, const octave_idx_type&, |
| 74 octave_idx_type& | |
| 75 F77_CHAR_ARG_LEN_DECL F77_CHAR_ARG_LEN_DECL); | |
| 7476 | 76 |
| 4552 | 77 F77_RET_T |
| 78 F77_FUNC (zgebal, ZGEBAL) (F77_CONST_CHAR_ARG_DECL, | |
| 5275 | 79 const octave_idx_type&, Complex*, const octave_idx_type&, octave_idx_type&, |
| 80 octave_idx_type&, double*, octave_idx_type& | |
| 4552 | 81 F77_CHAR_ARG_LEN_DECL); |
| 82 | |
| 83 F77_RET_T | |
| 84 F77_FUNC (dgebak, DGEBAK) (F77_CONST_CHAR_ARG_DECL, | |
| 85 F77_CONST_CHAR_ARG_DECL, | |
| 5275 | 86 const octave_idx_type&, const octave_idx_type&, const octave_idx_type&, double*, |
| 87 const octave_idx_type&, double*, const octave_idx_type&, octave_idx_type& | |
| 4552 | 88 F77_CHAR_ARG_LEN_DECL |
| 89 F77_CHAR_ARG_LEN_DECL); | |
| 90 | |
| 91 F77_RET_T | |
| 92 F77_FUNC (zgemm, ZGEMM) (F77_CONST_CHAR_ARG_DECL, | |
| 93 F77_CONST_CHAR_ARG_DECL, | |
| 5275 | 94 const octave_idx_type&, const octave_idx_type&, const octave_idx_type&, |
| 95 const Complex&, const Complex*, const octave_idx_type&, | |
| 96 const Complex*, const octave_idx_type&, const Complex&, | |
| 97 Complex*, const octave_idx_type& | |
| 4552 | 98 F77_CHAR_ARG_LEN_DECL |
| 99 F77_CHAR_ARG_LEN_DECL); | |
| 100 | |
| 101 F77_RET_T | |
| 5983 | 102 F77_FUNC (zgemv, ZGEMV) (F77_CONST_CHAR_ARG_DECL, |
| 103 const octave_idx_type&, const octave_idx_type&, const Complex&, | |
| 104 const Complex*, const octave_idx_type&, const Complex*, | |
| 105 const octave_idx_type&, const Complex&, Complex*, const octave_idx_type& | |
| 106 F77_CHAR_ARG_LEN_DECL); | |
| 107 | |
| 108 F77_RET_T | |
| 109 F77_FUNC (xzdotu, XZDOTU) (const octave_idx_type&, const Complex*, const octave_idx_type&, | |
| 110 const Complex*, const octave_idx_type&, Complex&); | |
| 111 | |
| 112 F77_RET_T | |
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113 F77_FUNC (xzdotc, XZDOTC) (const octave_idx_type&, const Complex*, const octave_idx_type&, |
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114 const Complex*, const octave_idx_type&, Complex&); |
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115 |
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116 F77_RET_T |
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117 F77_FUNC (zsyrk, ZSYRK) (F77_CONST_CHAR_ARG_DECL, |
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118 F77_CONST_CHAR_ARG_DECL, |
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119 const octave_idx_type&, const octave_idx_type&, |
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120 const Complex&, const Complex*, const octave_idx_type&, |
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121 const Complex&, Complex*, const octave_idx_type& |
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122 F77_CHAR_ARG_LEN_DECL |
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123 F77_CHAR_ARG_LEN_DECL); |
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124 |
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125 F77_RET_T |
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126 F77_FUNC (zherk, ZHERK) (F77_CONST_CHAR_ARG_DECL, |
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127 F77_CONST_CHAR_ARG_DECL, |
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128 const octave_idx_type&, const octave_idx_type&, |
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129 const Complex&, const Complex*, const octave_idx_type&, |
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130 const Complex&, Complex*, const octave_idx_type& |
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131 F77_CHAR_ARG_LEN_DECL |
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132 F77_CHAR_ARG_LEN_DECL); |
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133 |
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134 F77_RET_T |
| 5275 | 135 F77_FUNC (zgetrf, ZGETRF) (const octave_idx_type&, const octave_idx_type&, Complex*, const octave_idx_type&, |
| 136 octave_idx_type*, octave_idx_type&); | |
| 4552 | 137 |
| 138 F77_RET_T | |
| 139 F77_FUNC (zgetrs, ZGETRS) (F77_CONST_CHAR_ARG_DECL, | |
| 5275 | 140 const octave_idx_type&, const octave_idx_type&, Complex*, const octave_idx_type&, |
| 141 const octave_idx_type*, Complex*, const octave_idx_type&, octave_idx_type& | |
| 4552 | 142 F77_CHAR_ARG_LEN_DECL); |
| 143 | |
| 144 F77_RET_T | |
| 5275 | 145 F77_FUNC (zgetri, ZGETRI) (const octave_idx_type&, Complex*, const octave_idx_type&, const octave_idx_type*, |
| 146 Complex*, const octave_idx_type&, octave_idx_type&); | |
| 4552 | 147 |
| 148 F77_RET_T | |
| 149 F77_FUNC (zgecon, ZGECON) (F77_CONST_CHAR_ARG_DECL, | |
| 5275 | 150 const octave_idx_type&, Complex*, |
| 151 const octave_idx_type&, const double&, double&, | |
| 152 Complex*, double*, octave_idx_type& | |
| 4552 | 153 F77_CHAR_ARG_LEN_DECL); |
| 154 | |
| 155 F77_RET_T | |
| 7072 | 156 F77_FUNC (zgelsy, ZGELSY) (const octave_idx_type&, const octave_idx_type&, const octave_idx_type&, |
| 157 Complex*, const octave_idx_type&, Complex*, | |
| 158 const octave_idx_type&, octave_idx_type*, double&, octave_idx_type&, | |
| 159 Complex*, const octave_idx_type&, double*, octave_idx_type&); | |
| 160 | |
| 161 F77_RET_T | |
| 162 F77_FUNC (zgelsd, ZGELSD) (const octave_idx_type&, const octave_idx_type&, const octave_idx_type&, | |
| 5275 | 163 Complex*, const octave_idx_type&, Complex*, |
| 7071 | 164 const octave_idx_type&, double*, double&, octave_idx_type&, |
| 7072 | 165 Complex*, const octave_idx_type&, double*, |
| 166 octave_idx_type*, octave_idx_type&); | |
| 458 | 167 |
| 5785 | 168 F77_RET_T |
| 169 F77_FUNC (zpotrf, ZPOTRF) (F77_CONST_CHAR_ARG_DECL, const octave_idx_type&, | |
| 170 Complex*, const octave_idx_type&, | |
| 171 octave_idx_type& F77_CHAR_ARG_LEN_DECL); | |
| 172 | |
| 173 F77_RET_T | |
| 174 F77_FUNC (zpocon, ZPOCON) (F77_CONST_CHAR_ARG_DECL, const octave_idx_type&, | |
| 175 Complex*, const octave_idx_type&, const double&, | |
| 176 double&, Complex*, double*, | |
| 177 octave_idx_type& F77_CHAR_ARG_LEN_DECL); | |
| 178 | |
| 179 F77_RET_T | |
| 180 F77_FUNC (zpotrs, ZPOTRS) (F77_CONST_CHAR_ARG_DECL, const octave_idx_type&, | |
| 181 const octave_idx_type&, const Complex*, | |
| 182 const octave_idx_type&, Complex*, | |
| 183 const octave_idx_type&, octave_idx_type& | |
| 184 F77_CHAR_ARG_LEN_DECL); | |
| 185 | |
| 186 F77_RET_T | |
| 6207 | 187 F77_FUNC (ztrtri, ZTRTRI) (F77_CONST_CHAR_ARG_DECL, F77_CONST_CHAR_ARG_DECL, |
| 188 const octave_idx_type&, const Complex*, | |
| 189 const octave_idx_type&, octave_idx_type& | |
| 190 F77_CHAR_ARG_LEN_DECL | |
| 191 F77_CHAR_ARG_LEN_DECL); | |
| 192 | |
| 193 F77_RET_T | |
| 5785 | 194 F77_FUNC (ztrcon, ZTRCON) (F77_CONST_CHAR_ARG_DECL, F77_CONST_CHAR_ARG_DECL, |
| 195 F77_CONST_CHAR_ARG_DECL, const octave_idx_type&, | |
| 196 const Complex*, const octave_idx_type&, double&, | |
| 197 Complex*, double*, octave_idx_type& | |
| 198 F77_CHAR_ARG_LEN_DECL | |
| 199 F77_CHAR_ARG_LEN_DECL | |
| 200 F77_CHAR_ARG_LEN_DECL); | |
| 201 | |
| 202 F77_RET_T | |
| 203 F77_FUNC (ztrtrs, ZTRTRS) (F77_CONST_CHAR_ARG_DECL, F77_CONST_CHAR_ARG_DECL, | |
| 204 F77_CONST_CHAR_ARG_DECL, const octave_idx_type&, | |
| 205 const octave_idx_type&, const Complex*, | |
| 206 const octave_idx_type&, Complex*, | |
| 207 const octave_idx_type&, octave_idx_type& | |
| 208 F77_CHAR_ARG_LEN_DECL | |
| 209 F77_CHAR_ARG_LEN_DECL | |
| 210 F77_CHAR_ARG_LEN_DECL); | |
| 211 | |
| 4552 | 212 F77_RET_T |
| 213 F77_FUNC (zlartg, ZLARTG) (const Complex&, const Complex&, | |
| 214 double&, Complex&, Complex&); | |
| 215 | |
| 216 F77_RET_T | |
| 217 F77_FUNC (ztrsyl, ZTRSYL) (F77_CONST_CHAR_ARG_DECL, | |
| 218 F77_CONST_CHAR_ARG_DECL, | |
| 5275 | 219 const octave_idx_type&, const octave_idx_type&, const octave_idx_type&, |
| 220 const Complex*, const octave_idx_type&, | |
| 221 const Complex*, const octave_idx_type&, | |
| 222 const Complex*, const octave_idx_type&, double&, octave_idx_type& | |
| 4552 | 223 F77_CHAR_ARG_LEN_DECL |
| 224 F77_CHAR_ARG_LEN_DECL); | |
| 225 | |
| 226 F77_RET_T | |
| 227 F77_FUNC (xzlange, XZLANGE) (F77_CONST_CHAR_ARG_DECL, | |
| 5275 | 228 const octave_idx_type&, const octave_idx_type&, const Complex*, |
| 229 const octave_idx_type&, double*, double& | |
| 4552 | 230 F77_CHAR_ARG_LEN_DECL); |
| 458 | 231 } |
| 232 | |
| 2354 | 233 static const Complex Complex_NaN_result (octave_NaN, octave_NaN); |
| 234 | |
| 1360 | 235 // Complex Matrix class |
| 458 | 236 |
| 237 ComplexMatrix::ComplexMatrix (const Matrix& a) | |
| 1214 | 238 : MArray2<Complex> (a.rows (), a.cols ()) |
| 458 | 239 { |
| 5275 | 240 for (octave_idx_type j = 0; j < cols (); j++) |
| 241 for (octave_idx_type i = 0; i < rows (); i++) | |
| 458 | 242 elem (i, j) = a.elem (i, j); |
| 243 } | |
| 244 | |
| 2349 | 245 ComplexMatrix::ComplexMatrix (const RowVector& rv) |
| 246 : MArray2<Complex> (1, rv.length (), 0.0) | |
| 247 { | |
| 5275 | 248 for (octave_idx_type i = 0; i < rv.length (); i++) |
| 2349 | 249 elem (0, i) = rv.elem (i); |
| 250 } | |
| 251 | |
| 252 ComplexMatrix::ComplexMatrix (const ColumnVector& cv) | |
| 253 : MArray2<Complex> (cv.length (), 1, 0.0) | |
| 254 { | |
| 5275 | 255 for (octave_idx_type i = 0; i < cv.length (); i++) |
| 2349 | 256 elem (i, 0) = cv.elem (i); |
| 257 } | |
| 258 | |
| 458 | 259 ComplexMatrix::ComplexMatrix (const DiagMatrix& a) |
| 1214 | 260 : MArray2<Complex> (a.rows (), a.cols (), 0.0) |
| 458 | 261 { |
| 5275 | 262 for (octave_idx_type i = 0; i < a.length (); i++) |
| 458 | 263 elem (i, i) = a.elem (i, i); |
| 264 } | |
| 265 | |
| 2349 | 266 ComplexMatrix::ComplexMatrix (const ComplexRowVector& rv) |
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267 : MArray2<Complex> (Array2<Complex> (rv, 1, rv.length ())) |
| 2349 | 268 { |
| 269 } | |
| 270 | |
| 271 ComplexMatrix::ComplexMatrix (const ComplexColumnVector& cv) | |
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272 : MArray2<Complex> (Array2<Complex> (cv, cv.length (), 1)) |
| 2349 | 273 { |
| 274 } | |
| 275 | |
| 458 | 276 ComplexMatrix::ComplexMatrix (const ComplexDiagMatrix& a) |
| 1214 | 277 : MArray2<Complex> (a.rows (), a.cols (), 0.0) |
| 458 | 278 { |
| 5275 | 279 for (octave_idx_type i = 0; i < a.length (); i++) |
| 458 | 280 elem (i, i) = a.elem (i, i); |
| 281 } | |
| 282 | |
| 5775 | 283 // FIXME -- could we use a templated mixed-type copy function |
| 1574 | 284 // here? |
| 285 | |
| 2828 | 286 ComplexMatrix::ComplexMatrix (const boolMatrix& a) |
| 3180 | 287 : MArray2<Complex> (a.rows (), a.cols (), 0.0) |
| 2828 | 288 { |
| 5275 | 289 for (octave_idx_type i = 0; i < a.rows (); i++) |
| 290 for (octave_idx_type j = 0; j < a.cols (); j++) | |
| 2828 | 291 elem (i, j) = a.elem (i, j); |
| 292 } | |
| 293 | |
| 1574 | 294 ComplexMatrix::ComplexMatrix (const charMatrix& a) |
| 3180 | 295 : MArray2<Complex> (a.rows (), a.cols (), 0.0) |
| 1574 | 296 { |
| 5275 | 297 for (octave_idx_type i = 0; i < a.rows (); i++) |
| 298 for (octave_idx_type j = 0; j < a.cols (); j++) | |
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299 elem (i, j) = static_cast<unsigned char> (a.elem (i, j)); |
| 1574 | 300 } |
| 301 | |
| 2384 | 302 bool |
| 458 | 303 ComplexMatrix::operator == (const ComplexMatrix& a) const |
| 304 { | |
| 305 if (rows () != a.rows () || cols () != a.cols ()) | |
| 2384 | 306 return false; |
| 458 | 307 |
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308 return mx_inline_equal (length (), data (), a.data ()); |
| 458 | 309 } |
| 310 | |
| 2384 | 311 bool |
| 458 | 312 ComplexMatrix::operator != (const ComplexMatrix& a) const |
| 313 { | |
| 314 return !(*this == a); | |
| 315 } | |
| 316 | |
| 2815 | 317 bool |
| 318 ComplexMatrix::is_hermitian (void) const | |
| 319 { | |
| 5275 | 320 octave_idx_type nr = rows (); |
| 321 octave_idx_type nc = cols (); | |
| 2815 | 322 |
| 323 if (is_square () && nr > 0) | |
| 324 { | |
| 5275 | 325 for (octave_idx_type i = 0; i < nr; i++) |
| 326 for (octave_idx_type j = i; j < nc; j++) | |
| 2815 | 327 if (elem (i, j) != conj (elem (j, i))) |
| 328 return false; | |
| 329 | |
| 330 return true; | |
| 331 } | |
| 332 | |
| 333 return false; | |
| 334 } | |
| 335 | |
| 458 | 336 // destructive insert/delete/reorder operations |
| 337 | |
| 338 ComplexMatrix& | |
| 5275 | 339 ComplexMatrix::insert (const Matrix& a, octave_idx_type r, octave_idx_type c) |
| 458 | 340 { |
| 5275 | 341 octave_idx_type a_nr = a.rows (); |
| 342 octave_idx_type a_nc = a.cols (); | |
| 1699 | 343 |
| 344 if (r < 0 || r + a_nr > rows () || c < 0 || c + a_nc > cols ()) | |
| 458 | 345 { |
| 346 (*current_liboctave_error_handler) ("range error for insert"); | |
| 347 return *this; | |
| 348 } | |
| 349 | |
| 4316 | 350 if (a_nr >0 && a_nc > 0) |
| 351 { | |
| 352 make_unique (); | |
| 353 | |
| 5275 | 354 for (octave_idx_type j = 0; j < a_nc; j++) |
| 355 for (octave_idx_type i = 0; i < a_nr; i++) | |
| 4316 | 356 xelem (r+i, c+j) = a.elem (i, j); |
| 357 } | |
| 458 | 358 |
| 359 return *this; | |
| 360 } | |
| 361 | |
| 362 ComplexMatrix& | |
| 5275 | 363 ComplexMatrix::insert (const RowVector& a, octave_idx_type r, octave_idx_type c) |
| 458 | 364 { |
| 5275 | 365 octave_idx_type a_len = a.length (); |
| 4316 | 366 |
| 1699 | 367 if (r < 0 || r >= rows () || c < 0 || c + a_len > cols ()) |
| 458 | 368 { |
| 369 (*current_liboctave_error_handler) ("range error for insert"); | |
| 370 return *this; | |
| 371 } | |
| 372 | |
| 4316 | 373 if (a_len > 0) |
| 374 { | |
| 375 make_unique (); | |
| 376 | |
| 5275 | 377 for (octave_idx_type i = 0; i < a_len; i++) |
| 4316 | 378 xelem (r, c+i) = a.elem (i); |
| 379 } | |
| 458 | 380 |
| 381 return *this; | |
| 382 } | |
| 383 | |
| 384 ComplexMatrix& | |
| 5275 | 385 ComplexMatrix::insert (const ColumnVector& a, octave_idx_type r, octave_idx_type c) |
| 458 | 386 { |
| 5275 | 387 octave_idx_type a_len = a.length (); |
| 4316 | 388 |
| 1699 | 389 if (r < 0 || r + a_len > rows () || c < 0 || c >= cols ()) |
| 458 | 390 { |
| 391 (*current_liboctave_error_handler) ("range error for insert"); | |
| 392 return *this; | |
| 393 } | |
| 394 | |
| 4316 | 395 if (a_len > 0) |
| 396 { | |
| 397 make_unique (); | |
| 398 | |
| 5275 | 399 for (octave_idx_type i = 0; i < a_len; i++) |
| 4316 | 400 xelem (r+i, c) = a.elem (i); |
| 401 } | |
| 458 | 402 |
| 403 return *this; | |
| 404 } | |
| 405 | |
| 406 ComplexMatrix& | |
| 5275 | 407 ComplexMatrix::insert (const DiagMatrix& a, octave_idx_type r, octave_idx_type c) |
| 458 | 408 { |
| 5275 | 409 octave_idx_type a_nr = a.rows (); |
| 410 octave_idx_type a_nc = a.cols (); | |
| 1699 | 411 |
| 412 if (r < 0 || r + a_nr > rows () || c < 0 || c + a_nc > cols ()) | |
| 458 | 413 { |
| 414 (*current_liboctave_error_handler) ("range error for insert"); | |
| 415 return *this; | |
| 416 } | |
| 417 | |
| 1699 | 418 fill (0.0, r, c, r + a_nr - 1, c + a_nc - 1); |
| 419 | |
| 5275 | 420 octave_idx_type a_len = a.length (); |
| 4316 | 421 |
| 422 if (a_len > 0) | |
| 423 { | |
| 424 make_unique (); | |
| 425 | |
| 5275 | 426 for (octave_idx_type i = 0; i < a_len; i++) |
| 4316 | 427 xelem (r+i, c+i) = a.elem (i, i); |
| 428 } | |
| 458 | 429 |
| 430 return *this; | |
| 431 } | |
| 432 | |
| 433 ComplexMatrix& | |
| 5275 | 434 ComplexMatrix::insert (const ComplexMatrix& a, octave_idx_type r, octave_idx_type c) |
| 458 | 435 { |
| 1561 | 436 Array2<Complex>::insert (a, r, c); |
| 458 | 437 return *this; |
| 438 } | |
| 439 | |
| 440 ComplexMatrix& | |
| 5275 | 441 ComplexMatrix::insert (const ComplexRowVector& a, octave_idx_type r, octave_idx_type c) |
| 458 | 442 { |
| 5275 | 443 octave_idx_type a_len = a.length (); |
| 1699 | 444 if (r < 0 || r >= rows () || c < 0 || c + a_len > cols ()) |
| 458 | 445 { |
| 446 (*current_liboctave_error_handler) ("range error for insert"); | |
| 447 return *this; | |
| 448 } | |
| 449 | |
| 5275 | 450 for (octave_idx_type i = 0; i < a_len; i++) |
| 458 | 451 elem (r, c+i) = a.elem (i); |
| 452 | |
| 453 return *this; | |
| 454 } | |
| 455 | |
| 456 ComplexMatrix& | |
| 5275 | 457 ComplexMatrix::insert (const ComplexColumnVector& a, octave_idx_type r, octave_idx_type c) |
| 458 | 458 { |
| 5275 | 459 octave_idx_type a_len = a.length (); |
| 4316 | 460 |
| 1699 | 461 if (r < 0 || r + a_len > rows () || c < 0 || c >= cols ()) |
| 458 | 462 { |
| 463 (*current_liboctave_error_handler) ("range error for insert"); | |
| 464 return *this; | |
| 465 } | |
| 466 | |
| 4316 | 467 if (a_len > 0) |
| 468 { | |
| 469 make_unique (); | |
| 470 | |
| 5275 | 471 for (octave_idx_type i = 0; i < a_len; i++) |
| 4316 | 472 xelem (r+i, c) = a.elem (i); |
| 473 } | |
| 458 | 474 |
| 475 return *this; | |
| 476 } | |
| 477 | |
| 478 ComplexMatrix& | |
| 5275 | 479 ComplexMatrix::insert (const ComplexDiagMatrix& a, octave_idx_type r, octave_idx_type c) |
| 458 | 480 { |
| 5275 | 481 octave_idx_type a_nr = a.rows (); |
| 482 octave_idx_type a_nc = a.cols (); | |
| 1699 | 483 |
| 484 if (r < 0 || r + a_nr > rows () || c < 0 || c + a_nc > cols ()) | |
| 458 | 485 { |
| 486 (*current_liboctave_error_handler) ("range error for insert"); | |
| 487 return *this; | |
| 488 } | |
| 489 | |
| 1699 | 490 fill (0.0, r, c, r + a_nr - 1, c + a_nc - 1); |
| 491 | |
| 5275 | 492 octave_idx_type a_len = a.length (); |
| 4316 | 493 |
| 494 if (a_len > 0) | |
| 495 { | |
| 496 make_unique (); | |
| 497 | |
| 5275 | 498 for (octave_idx_type i = 0; i < a_len; i++) |
| 4316 | 499 xelem (r+i, c+i) = a.elem (i, i); |
| 500 } | |
| 458 | 501 |
| 502 return *this; | |
| 503 } | |
| 504 | |
| 505 ComplexMatrix& | |
| 506 ComplexMatrix::fill (double val) | |
| 507 { | |
| 5275 | 508 octave_idx_type nr = rows (); |
| 509 octave_idx_type nc = cols (); | |
| 4316 | 510 |
| 458 | 511 if (nr > 0 && nc > 0) |
| 4316 | 512 { |
| 513 make_unique (); | |
| 514 | |
| 5275 | 515 for (octave_idx_type j = 0; j < nc; j++) |
| 516 for (octave_idx_type i = 0; i < nr; i++) | |
| 4316 | 517 xelem (i, j) = val; |
| 518 } | |
| 458 | 519 |
| 520 return *this; | |
| 521 } | |
| 522 | |
| 523 ComplexMatrix& | |
| 524 ComplexMatrix::fill (const Complex& val) | |
| 525 { | |
| 5275 | 526 octave_idx_type nr = rows (); |
| 527 octave_idx_type nc = cols (); | |
| 4316 | 528 |
| 458 | 529 if (nr > 0 && nc > 0) |
| 4316 | 530 { |
| 531 make_unique (); | |
| 532 | |
| 5275 | 533 for (octave_idx_type j = 0; j < nc; j++) |
| 534 for (octave_idx_type i = 0; i < nr; i++) | |
| 4316 | 535 xelem (i, j) = val; |
| 536 } | |
| 458 | 537 |
| 538 return *this; | |
| 539 } | |
| 540 | |
| 541 ComplexMatrix& | |
| 5275 | 542 ComplexMatrix::fill (double val, octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2) |
| 458 | 543 { |
| 5275 | 544 octave_idx_type nr = rows (); |
| 545 octave_idx_type nc = cols (); | |
| 4316 | 546 |
| 458 | 547 if (r1 < 0 || r2 < 0 || c1 < 0 || c2 < 0 |
| 548 || r1 >= nr || r2 >= nr || c1 >= nc || c2 >= nc) | |
| 549 { | |
| 550 (*current_liboctave_error_handler) ("range error for fill"); | |
| 551 return *this; | |
| 552 } | |
| 553 | |
| 5275 | 554 if (r1 > r2) { octave_idx_type tmp = r1; r1 = r2; r2 = tmp; } |
| 555 if (c1 > c2) { octave_idx_type tmp = c1; c1 = c2; c2 = tmp; } | |
| 458 | 556 |
| 4316 | 557 if (r2 >= r1 && c2 >= c1) |
| 558 { | |
| 559 make_unique (); | |
| 560 | |
| 5275 | 561 for (octave_idx_type j = c1; j <= c2; j++) |
| 562 for (octave_idx_type i = r1; i <= r2; i++) | |
| 4316 | 563 xelem (i, j) = val; |
| 564 } | |
| 458 | 565 |
| 566 return *this; | |
| 567 } | |
| 568 | |
| 569 ComplexMatrix& | |
| 5275 | 570 ComplexMatrix::fill (const Complex& val, octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2) |
| 458 | 571 { |
| 5275 | 572 octave_idx_type nr = rows (); |
| 573 octave_idx_type nc = cols (); | |
| 4316 | 574 |
| 458 | 575 if (r1 < 0 || r2 < 0 || c1 < 0 || c2 < 0 |
| 576 || r1 >= nr || r2 >= nr || c1 >= nc || c2 >= nc) | |
| 577 { | |
| 578 (*current_liboctave_error_handler) ("range error for fill"); | |
| 579 return *this; | |
| 580 } | |
| 581 | |
| 5275 | 582 if (r1 > r2) { octave_idx_type tmp = r1; r1 = r2; r2 = tmp; } |
| 583 if (c1 > c2) { octave_idx_type tmp = c1; c1 = c2; c2 = tmp; } | |
| 458 | 584 |
| 4316 | 585 if (r2 >= r1 && c2 >=c1) |
| 586 { | |
| 587 make_unique (); | |
| 588 | |
| 5275 | 589 for (octave_idx_type j = c1; j <= c2; j++) |
| 590 for (octave_idx_type i = r1; i <= r2; i++) | |
| 4316 | 591 xelem (i, j) = val; |
| 592 } | |
| 458 | 593 |
| 594 return *this; | |
| 595 } | |
| 596 | |
| 597 ComplexMatrix | |
| 598 ComplexMatrix::append (const Matrix& a) const | |
| 599 { | |
| 5275 | 600 octave_idx_type nr = rows (); |
| 601 octave_idx_type nc = cols (); | |
| 458 | 602 if (nr != a.rows ()) |
| 603 { | |
| 604 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 605 return *this; | |
| 606 } | |
| 607 | |
| 5275 | 608 octave_idx_type nc_insert = nc; |
| 458 | 609 ComplexMatrix retval (nr, nc + a.cols ()); |
| 610 retval.insert (*this, 0, 0); | |
| 611 retval.insert (a, 0, nc_insert); | |
| 612 return retval; | |
| 613 } | |
| 614 | |
| 615 ComplexMatrix | |
| 616 ComplexMatrix::append (const RowVector& a) const | |
| 617 { | |
| 5275 | 618 octave_idx_type nr = rows (); |
| 619 octave_idx_type nc = cols (); | |
| 458 | 620 if (nr != 1) |
| 621 { | |
| 622 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 623 return *this; | |
| 624 } | |
| 625 | |
| 5275 | 626 octave_idx_type nc_insert = nc; |
| 458 | 627 ComplexMatrix retval (nr, nc + a.length ()); |
| 628 retval.insert (*this, 0, 0); | |
| 629 retval.insert (a, 0, nc_insert); | |
| 630 return retval; | |
| 631 } | |
| 632 | |
| 633 ComplexMatrix | |
| 634 ComplexMatrix::append (const ColumnVector& a) const | |
| 635 { | |
| 5275 | 636 octave_idx_type nr = rows (); |
| 637 octave_idx_type nc = cols (); | |
| 458 | 638 if (nr != a.length ()) |
| 639 { | |
| 640 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 641 return *this; | |
| 642 } | |
| 643 | |
| 5275 | 644 octave_idx_type nc_insert = nc; |
| 458 | 645 ComplexMatrix retval (nr, nc + 1); |
| 646 retval.insert (*this, 0, 0); | |
| 647 retval.insert (a, 0, nc_insert); | |
| 648 return retval; | |
| 649 } | |
| 650 | |
| 651 ComplexMatrix | |
| 652 ComplexMatrix::append (const DiagMatrix& a) const | |
| 653 { | |
| 5275 | 654 octave_idx_type nr = rows (); |
| 655 octave_idx_type nc = cols (); | |
| 458 | 656 if (nr != a.rows ()) |
| 657 { | |
| 658 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 659 return *this; | |
| 660 } | |
| 661 | |
| 5275 | 662 octave_idx_type nc_insert = nc; |
| 458 | 663 ComplexMatrix retval (nr, nc + a.cols ()); |
| 664 retval.insert (*this, 0, 0); | |
| 665 retval.insert (a, 0, nc_insert); | |
| 666 return retval; | |
| 667 } | |
| 668 | |
| 669 ComplexMatrix | |
| 670 ComplexMatrix::append (const ComplexMatrix& a) const | |
| 671 { | |
| 5275 | 672 octave_idx_type nr = rows (); |
| 673 octave_idx_type nc = cols (); | |
| 458 | 674 if (nr != a.rows ()) |
| 675 { | |
| 676 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 677 return *this; | |
| 678 } | |
| 679 | |
| 5275 | 680 octave_idx_type nc_insert = nc; |
| 458 | 681 ComplexMatrix retval (nr, nc + a.cols ()); |
| 682 retval.insert (*this, 0, 0); | |
| 683 retval.insert (a, 0, nc_insert); | |
| 684 return retval; | |
| 685 } | |
| 686 | |
| 687 ComplexMatrix | |
| 688 ComplexMatrix::append (const ComplexRowVector& a) const | |
| 689 { | |
| 5275 | 690 octave_idx_type nr = rows (); |
| 691 octave_idx_type nc = cols (); | |
| 458 | 692 if (nr != 1) |
| 693 { | |
| 694 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 695 return *this; | |
| 696 } | |
| 697 | |
| 5275 | 698 octave_idx_type nc_insert = nc; |
| 458 | 699 ComplexMatrix retval (nr, nc + a.length ()); |
| 700 retval.insert (*this, 0, 0); | |
| 701 retval.insert (a, 0, nc_insert); | |
| 702 return retval; | |
| 703 } | |
| 704 | |
| 705 ComplexMatrix | |
| 706 ComplexMatrix::append (const ComplexColumnVector& a) const | |
| 707 { | |
| 5275 | 708 octave_idx_type nr = rows (); |
| 709 octave_idx_type nc = cols (); | |
| 458 | 710 if (nr != a.length ()) |
| 711 { | |
| 712 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 713 return *this; | |
| 714 } | |
| 715 | |
| 5275 | 716 octave_idx_type nc_insert = nc; |
| 458 | 717 ComplexMatrix retval (nr, nc + 1); |
| 718 retval.insert (*this, 0, 0); | |
| 719 retval.insert (a, 0, nc_insert); | |
| 720 return retval; | |
| 721 } | |
| 722 | |
| 723 ComplexMatrix | |
| 724 ComplexMatrix::append (const ComplexDiagMatrix& a) const | |
| 725 { | |
| 5275 | 726 octave_idx_type nr = rows (); |
| 727 octave_idx_type nc = cols (); | |
| 458 | 728 if (nr != a.rows ()) |
| 729 { | |
| 730 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 731 return *this; | |
| 732 } | |
| 733 | |
| 5275 | 734 octave_idx_type nc_insert = nc; |
| 458 | 735 ComplexMatrix retval (nr, nc + a.cols ()); |
| 736 retval.insert (*this, 0, 0); | |
| 737 retval.insert (a, 0, nc_insert); | |
| 738 return retval; | |
| 739 } | |
| 740 | |
| 741 ComplexMatrix | |
| 742 ComplexMatrix::stack (const Matrix& a) const | |
| 743 { | |
| 5275 | 744 octave_idx_type nr = rows (); |
| 745 octave_idx_type nc = cols (); | |
| 458 | 746 if (nc != a.cols ()) |
| 747 { | |
| 748 (*current_liboctave_error_handler) | |
| 749 ("column dimension mismatch for stack"); | |
| 750 return *this; | |
| 751 } | |
| 752 | |
| 5275 | 753 octave_idx_type nr_insert = nr; |
| 458 | 754 ComplexMatrix retval (nr + a.rows (), nc); |
| 755 retval.insert (*this, 0, 0); | |
| 756 retval.insert (a, nr_insert, 0); | |
| 757 return retval; | |
| 758 } | |
| 759 | |
| 760 ComplexMatrix | |
| 761 ComplexMatrix::stack (const RowVector& a) const | |
| 762 { | |
| 5275 | 763 octave_idx_type nr = rows (); |
| 764 octave_idx_type nc = cols (); | |
| 458 | 765 if (nc != a.length ()) |
| 766 { | |
| 767 (*current_liboctave_error_handler) | |
| 768 ("column dimension mismatch for stack"); | |
| 769 return *this; | |
| 770 } | |
| 771 | |
| 5275 | 772 octave_idx_type nr_insert = nr; |
| 458 | 773 ComplexMatrix retval (nr + 1, nc); |
| 774 retval.insert (*this, 0, 0); | |
| 775 retval.insert (a, nr_insert, 0); | |
| 776 return retval; | |
| 777 } | |
| 778 | |
| 779 ComplexMatrix | |
| 780 ComplexMatrix::stack (const ColumnVector& a) const | |
| 781 { | |
| 5275 | 782 octave_idx_type nr = rows (); |
| 783 octave_idx_type nc = cols (); | |
| 458 | 784 if (nc != 1) |
| 785 { | |
| 786 (*current_liboctave_error_handler) | |
| 787 ("column dimension mismatch for stack"); | |
| 788 return *this; | |
| 789 } | |
| 790 | |
| 5275 | 791 octave_idx_type nr_insert = nr; |
| 458 | 792 ComplexMatrix retval (nr + a.length (), nc); |
| 793 retval.insert (*this, 0, 0); | |
| 794 retval.insert (a, nr_insert, 0); | |
| 795 return retval; | |
| 796 } | |
| 797 | |
| 798 ComplexMatrix | |
| 799 ComplexMatrix::stack (const DiagMatrix& a) const | |
| 800 { | |
| 5275 | 801 octave_idx_type nr = rows (); |
| 802 octave_idx_type nc = cols (); | |
| 458 | 803 if (nc != a.cols ()) |
| 804 { | |
| 805 (*current_liboctave_error_handler) | |
| 806 ("column dimension mismatch for stack"); | |
| 807 return *this; | |
| 808 } | |
| 809 | |
| 5275 | 810 octave_idx_type nr_insert = nr; |
| 458 | 811 ComplexMatrix retval (nr + a.rows (), nc); |
| 812 retval.insert (*this, 0, 0); | |
| 813 retval.insert (a, nr_insert, 0); | |
| 814 return retval; | |
| 815 } | |
| 816 | |
| 817 ComplexMatrix | |
| 818 ComplexMatrix::stack (const ComplexMatrix& a) const | |
| 819 { | |
| 5275 | 820 octave_idx_type nr = rows (); |
| 821 octave_idx_type nc = cols (); | |
| 458 | 822 if (nc != a.cols ()) |
| 823 { | |
| 824 (*current_liboctave_error_handler) | |
| 825 ("column dimension mismatch for stack"); | |
| 826 return *this; | |
| 827 } | |
| 828 | |
| 5275 | 829 octave_idx_type nr_insert = nr; |
| 458 | 830 ComplexMatrix retval (nr + a.rows (), nc); |
| 831 retval.insert (*this, 0, 0); | |
| 832 retval.insert (a, nr_insert, 0); | |
| 833 return retval; | |
| 834 } | |
| 835 | |
| 836 ComplexMatrix | |
| 837 ComplexMatrix::stack (const ComplexRowVector& a) const | |
| 838 { | |
| 5275 | 839 octave_idx_type nr = rows (); |
| 840 octave_idx_type nc = cols (); | |
| 458 | 841 if (nc != a.length ()) |
| 842 { | |
| 843 (*current_liboctave_error_handler) | |
| 844 ("column dimension mismatch for stack"); | |
| 845 return *this; | |
| 846 } | |
| 847 | |
| 5275 | 848 octave_idx_type nr_insert = nr; |
| 458 | 849 ComplexMatrix retval (nr + 1, nc); |
| 850 retval.insert (*this, 0, 0); | |
| 851 retval.insert (a, nr_insert, 0); | |
| 852 return retval; | |
| 853 } | |
| 854 | |
| 855 ComplexMatrix | |
| 856 ComplexMatrix::stack (const ComplexColumnVector& a) const | |
| 857 { | |
| 5275 | 858 octave_idx_type nr = rows (); |
| 859 octave_idx_type nc = cols (); | |
| 458 | 860 if (nc != 1) |
| 861 { | |
| 862 (*current_liboctave_error_handler) | |
| 863 ("column dimension mismatch for stack"); | |
| 864 return *this; | |
| 865 } | |
| 866 | |
| 5275 | 867 octave_idx_type nr_insert = nr; |
| 458 | 868 ComplexMatrix retval (nr + a.length (), nc); |
| 869 retval.insert (*this, 0, 0); | |
| 870 retval.insert (a, nr_insert, 0); | |
| 871 return retval; | |
| 872 } | |
| 873 | |
| 874 ComplexMatrix | |
| 875 ComplexMatrix::stack (const ComplexDiagMatrix& a) const | |
| 876 { | |
| 5275 | 877 octave_idx_type nr = rows (); |
| 878 octave_idx_type nc = cols (); | |
| 458 | 879 if (nc != a.cols ()) |
| 880 { | |
| 881 (*current_liboctave_error_handler) | |
| 882 ("column dimension mismatch for stack"); | |
| 883 return *this; | |
| 884 } | |
| 885 | |
| 5275 | 886 octave_idx_type nr_insert = nr; |
| 458 | 887 ComplexMatrix retval (nr + a.rows (), nc); |
| 888 retval.insert (*this, 0, 0); | |
| 889 retval.insert (a, nr_insert, 0); | |
| 890 return retval; | |
| 891 } | |
| 892 | |
| 893 ComplexMatrix | |
| 894 conj (const ComplexMatrix& a) | |
| 895 { | |
|
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
|
896 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
|
897 a.rows (), a.cols ()); |
| 458 | 898 } |
| 899 | |
| 900 // resize is the destructive equivalent for this one | |
| 901 | |
| 902 ComplexMatrix | |
| 5275 | 903 ComplexMatrix::extract (octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2) const |
| 458 | 904 { |
| 5275 | 905 if (r1 > r2) { octave_idx_type tmp = r1; r1 = r2; r2 = tmp; } |
| 906 if (c1 > c2) { octave_idx_type tmp = c1; c1 = c2; c2 = tmp; } | |
| 907 | |
| 908 octave_idx_type new_r = r2 - r1 + 1; | |
| 909 octave_idx_type new_c = c2 - c1 + 1; | |
| 458 | 910 |
| 911 ComplexMatrix result (new_r, new_c); | |
| 912 | |
| 5275 | 913 for (octave_idx_type j = 0; j < new_c; j++) |
| 914 for (octave_idx_type i = 0; i < new_r; i++) | |
| 4316 | 915 result.xelem (i, j) = elem (r1+i, c1+j); |
| 916 | |
| 917 return result; | |
| 918 } | |
| 919 | |
| 920 ComplexMatrix | |
| 5275 | 921 ComplexMatrix::extract_n (octave_idx_type r1, octave_idx_type c1, octave_idx_type nr, octave_idx_type nc) const |
| 4316 | 922 { |
| 923 ComplexMatrix result (nr, nc); | |
| 924 | |
| 5275 | 925 for (octave_idx_type j = 0; j < nc; j++) |
| 926 for (octave_idx_type i = 0; i < nr; i++) | |
| 4316 | 927 result.xelem (i, j) = elem (r1+i, c1+j); |
| 458 | 928 |
| 929 return result; | |
| 930 } | |
| 931 | |
| 932 // extract row or column i. | |
| 933 | |
| 934 ComplexRowVector | |
| 5275 | 935 ComplexMatrix::row (octave_idx_type i) const |
| 458 | 936 { |
|
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937 return MArray<Complex> (index (idx_vector (i), idx_vector::colon)); |
| 458 | 938 } |
| 939 | |
| 940 ComplexColumnVector | |
| 5275 | 941 ComplexMatrix::column (octave_idx_type i) const |
| 458 | 942 { |
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943 return MArray<Complex> (index (idx_vector::colon, idx_vector (i))); |
| 458 | 944 } |
| 945 | |
| 946 ComplexMatrix | |
| 947 ComplexMatrix::inverse (void) const | |
| 948 { | |
| 5275 | 949 octave_idx_type info; |
| 7788 | 950 double rcon; |
| 6207 | 951 MatrixType mattype (*this); |
| 7788 | 952 return inverse (mattype, info, rcon, 0, 0); |
| 6207 | 953 } |
| 954 | |
| 955 ComplexMatrix | |
| 6479 | 956 ComplexMatrix::inverse (octave_idx_type& info) const |
| 957 { | |
| 7788 | 958 double rcon; |
| 6479 | 959 MatrixType mattype (*this); |
| 7788 | 960 return inverse (mattype, info, rcon, 0, 0); |
| 6479 | 961 } |
| 962 | |
| 963 ComplexMatrix | |
| 7788 | 964 ComplexMatrix::inverse (octave_idx_type& info, double& rcon, int force, |
| 6479 | 965 int calc_cond) const |
| 966 { | |
| 967 MatrixType mattype (*this); | |
| 7788 | 968 return inverse (mattype, info, rcon, force, calc_cond); |
| 6479 | 969 } |
| 970 | |
| 971 ComplexMatrix | |
| 6207 | 972 ComplexMatrix::inverse (MatrixType &mattype) const |
| 973 { | |
| 974 octave_idx_type info; | |
| 7788 | 975 double rcon; |
| 976 return inverse (mattype, info, rcon, 0, 0); | |
| 6207 | 977 } |
| 978 | |
| 979 ComplexMatrix | |
| 980 ComplexMatrix::inverse (MatrixType &mattype, octave_idx_type& info) const | |
| 981 { | |
| 7788 | 982 double rcon; |
| 983 return inverse (mattype, info, rcon, 0, 0); | |
| 458 | 984 } |
| 985 | |
| 986 ComplexMatrix | |
| 6207 | 987 ComplexMatrix::tinverse (MatrixType &mattype, octave_idx_type& info, |
| 7788 | 988 double& rcon, int force, int calc_cond) const |
| 458 | 989 { |
| 6207 | 990 ComplexMatrix retval; |
| 991 | |
| 992 octave_idx_type nr = rows (); | |
| 993 octave_idx_type nc = cols (); | |
| 994 | |
| 995 if (nr != nc || nr == 0 || nc == 0) | |
| 996 (*current_liboctave_error_handler) ("inverse requires square matrix"); | |
| 997 else | |
| 998 { | |
| 999 int typ = mattype.type (); | |
| 1000 char uplo = (typ == MatrixType::Lower ? 'L' : 'U'); | |
| 1001 char udiag = 'N'; | |
| 1002 retval = *this; | |
| 1003 Complex *tmp_data = retval.fortran_vec (); | |
| 1004 | |
| 1005 F77_XFCN (ztrtri, ZTRTRI, (F77_CONST_CHAR_ARG2 (&uplo, 1), | |
| 1006 F77_CONST_CHAR_ARG2 (&udiag, 1), | |
| 1007 nr, tmp_data, nr, info | |
| 1008 F77_CHAR_ARG_LEN (1) | |
| 1009 F77_CHAR_ARG_LEN (1))); | |
| 1010 | |
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1011 // Throw-away extra info LAPACK gives so as to not change output. |
| 7788 | 1012 rcon = 0.0; |
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1013 if (info != 0) |
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1014 info = -1; |
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1015 else if (calc_cond) |
| 6207 | 1016 { |
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1017 octave_idx_type ztrcon_info = 0; |
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1018 char job = '1'; |
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1019 |
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1020 OCTAVE_LOCAL_BUFFER (Complex, cwork, 2*nr); |
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1021 OCTAVE_LOCAL_BUFFER (double, rwork, nr); |
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1022 |
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1023 F77_XFCN (ztrcon, ZTRCON, (F77_CONST_CHAR_ARG2 (&job, 1), |
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1024 F77_CONST_CHAR_ARG2 (&uplo, 1), |
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1025 F77_CONST_CHAR_ARG2 (&udiag, 1), |
| 7788 | 1026 nr, tmp_data, nr, rcon, |
|
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1027 cwork, rwork, ztrcon_info |
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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 F77_CHAR_ARG_LEN (1))); |
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1031 |
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1032 if (ztrcon_info != 0) |
| 6207 | 1033 info = -1; |
| 1034 } | |
| 1035 | |
| 1036 if (info == -1 && ! force) | |
| 1037 retval = *this; // Restore matrix contents. | |
| 1038 } | |
| 1039 | |
| 1040 return retval; | |
| 458 | 1041 } |
| 1042 | |
| 1043 ComplexMatrix | |
| 6207 | 1044 ComplexMatrix::finverse (MatrixType &mattype, octave_idx_type& info, |
| 7788 | 1045 double& rcon, int force, int calc_cond) const |
| 458 | 1046 { |
| 1948 | 1047 ComplexMatrix retval; |
| 1048 | |
| 5275 | 1049 octave_idx_type nr = rows (); |
| 1050 octave_idx_type nc = cols (); | |
| 1948 | 1051 |
| 458 | 1052 if (nr != nc) |
| 1948 | 1053 (*current_liboctave_error_handler) ("inverse requires square matrix"); |
| 458 | 1054 else |
| 1055 { | |
| 5275 | 1056 Array<octave_idx_type> ipvt (nr); |
| 1057 octave_idx_type *pipvt = ipvt.fortran_vec (); | |
| 1948 | 1058 |
| 1059 retval = *this; | |
| 1060 Complex *tmp_data = retval.fortran_vec (); | |
| 1061 | |
| 4329 | 1062 Array<Complex> z(1); |
| 5275 | 1063 octave_idx_type lwork = -1; |
| 4330 | 1064 |
| 1065 // Query the optimum work array size. | |
| 4329 | 1066 |
| 1067 F77_XFCN (zgetri, ZGETRI, (nc, tmp_data, nr, pipvt, | |
| 1068 z.fortran_vec (), lwork, info)); | |
| 1069 | |
| 5315 | 1070 lwork = static_cast<octave_idx_type> (std::real(z(0))); |
| 4329 | 1071 lwork = (lwork < 2 *nc ? 2*nc : lwork); |
| 1072 z.resize (lwork); | |
| 1073 Complex *pz = z.fortran_vec (); | |
| 1074 | |
| 1075 info = 0; | |
| 1076 | |
| 4330 | 1077 // Calculate the norm of the matrix, for later use. |
| 4329 | 1078 double anorm; |
| 1079 if (calc_cond) | |
| 5275 | 1080 anorm = retval.abs().sum().row(static_cast<octave_idx_type>(0)).max(); |
| 4329 | 1081 |
| 1082 F77_XFCN (zgetrf, ZGETRF, (nc, nc, tmp_data, nr, pipvt, info)); | |
| 1948 | 1083 |
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1084 // Throw-away extra info LAPACK gives so as to not change output. |
| 7788 | 1085 rcon = 0.0; |
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1086 if (info != 0) |
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1087 info = -1; |
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1088 else if (calc_cond) |
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1089 { |
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1090 // Now calculate the condition number for non-singular matrix. |
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1091 octave_idx_type zgecon_info = 0; |
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1092 char job = '1'; |
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1093 Array<double> rz (2 * nc); |
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1094 double *prz = rz.fortran_vec (); |
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1095 F77_XFCN (zgecon, ZGECON, (F77_CONST_CHAR_ARG2 (&job, 1), |
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1096 nc, tmp_data, nr, anorm, |
| 7788 | 1097 rcon, pz, prz, zgecon_info |
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1098 F77_CHAR_ARG_LEN (1))); |
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1099 |
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1100 if (zgecon_info != 0) |
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1101 info = -1; |
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1102 } |
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1103 |
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1104 if (info == -1 && ! force) |
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1105 retval = *this; // Restore contents. |
| 1948 | 1106 else |
| 1107 { | |
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1108 octave_idx_type zgetri_info = 0; |
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1109 |
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1110 F77_XFCN (zgetri, ZGETRI, (nc, tmp_data, nr, pipvt, |
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1111 pz, lwork, zgetri_info)); |
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1112 |
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1113 if (zgetri_info != 0) |
| 1948 | 1114 info = -1; |
| 1115 } | |
| 6207 | 1116 |
| 1117 if (info != 0) | |
| 1118 mattype.mark_as_rectangular(); | |
| 458 | 1119 } |
| 4329 | 1120 |
| 1948 | 1121 return retval; |
| 458 | 1122 } |
| 1123 | |
| 1124 ComplexMatrix | |
| 6207 | 1125 ComplexMatrix::inverse (MatrixType &mattype, octave_idx_type& info, |
| 7788 | 1126 double& rcon, int force, int calc_cond) const |
| 6207 | 1127 { |
| 1128 int typ = mattype.type (false); | |
| 1129 ComplexMatrix ret; | |
| 1130 | |
| 1131 if (typ == MatrixType::Unknown) | |
| 1132 typ = mattype.type (*this); | |
| 1133 | |
| 1134 if (typ == MatrixType::Upper || typ == MatrixType::Lower) | |
| 7788 | 1135 ret = tinverse (mattype, info, rcon, force, calc_cond); |
| 6840 | 1136 else |
| 6207 | 1137 { |
| 1138 if (mattype.is_hermitian ()) | |
| 1139 { | |
| 6486 | 1140 ComplexCHOL chol (*this, info, calc_cond); |
| 6207 | 1141 if (info == 0) |
| 6486 | 1142 { |
| 1143 if (calc_cond) | |
| 7788 | 1144 rcon = chol.rcond(); |
| 6486 | 1145 else |
| 7788 | 1146 rcon = 1.0; |
| 6486 | 1147 ret = chol.inverse (); |
| 1148 } | |
| 6207 | 1149 else |
| 1150 mattype.mark_as_unsymmetric (); | |
| 1151 } | |
| 1152 | |
| 1153 if (!mattype.is_hermitian ()) | |
| 7788 | 1154 ret = finverse(mattype, info, rcon, force, calc_cond); |
| 1155 | |
| 1156 if ((mattype.is_hermitian () || calc_cond) && rcon == 0.) | |
| 6840 | 1157 ret = ComplexMatrix (rows (), columns (), Complex (octave_Inf, 0.)); |
| 6207 | 1158 } |
| 1159 | |
| 1160 return ret; | |
| 1161 } | |
| 1162 | |
| 1163 ComplexMatrix | |
| 4384 | 1164 ComplexMatrix::pseudo_inverse (double tol) const |
| 740 | 1165 { |
| 1549 | 1166 ComplexMatrix retval; |
| 1167 | |
| 3480 | 1168 ComplexSVD result (*this, SVD::economy); |
| 740 | 1169 |
| 1170 DiagMatrix S = result.singular_values (); | |
| 1171 ComplexMatrix U = result.left_singular_matrix (); | |
| 1172 ComplexMatrix V = result.right_singular_matrix (); | |
| 1173 | |
| 1174 ColumnVector sigma = S.diag (); | |
| 1175 | |
| 5275 | 1176 octave_idx_type r = sigma.length () - 1; |
| 1177 octave_idx_type nr = rows (); | |
| 1178 octave_idx_type nc = cols (); | |
| 740 | 1179 |
| 1180 if (tol <= 0.0) | |
| 1181 { | |
| 1182 if (nr > nc) | |
| 1183 tol = nr * sigma.elem (0) * DBL_EPSILON; | |
| 1184 else | |
| 1185 tol = nc * sigma.elem (0) * DBL_EPSILON; | |
| 1186 } | |
| 1187 | |
| 1188 while (r >= 0 && sigma.elem (r) < tol) | |
| 1189 r--; | |
| 1190 | |
| 1191 if (r < 0) | |
| 1549 | 1192 retval = ComplexMatrix (nc, nr, 0.0); |
| 740 | 1193 else |
| 1194 { | |
| 1195 ComplexMatrix Ur = U.extract (0, 0, nr-1, r); | |
| 1196 DiagMatrix D = DiagMatrix (sigma.extract (0, r)) . inverse (); | |
| 1197 ComplexMatrix Vr = V.extract (0, 0, nc-1, r); | |
| 1549 | 1198 retval = Vr * D * Ur.hermitian (); |
| 740 | 1199 } |
| 1549 | 1200 |
| 1201 return retval; | |
| 740 | 1202 } |
| 1203 | |
|
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1204 #if defined (HAVE_FFTW) |
| 3827 | 1205 |
| 1206 ComplexMatrix | |
| 1207 ComplexMatrix::fourier (void) const | |
| 1208 { | |
| 1209 size_t nr = rows (); | |
| 1210 size_t nc = cols (); | |
| 1211 | |
| 1212 ComplexMatrix retval (nr, nc); | |
| 1213 | |
| 1214 size_t npts, nsamples; | |
| 1215 | |
| 1216 if (nr == 1 || nc == 1) | |
| 1217 { | |
| 1218 npts = nr > nc ? nr : nc; | |
| 1219 nsamples = 1; | |
| 1220 } | |
| 1221 else | |
| 1222 { | |
| 1223 npts = nr; | |
| 1224 nsamples = nc; | |
| 1225 } | |
| 1226 | |
| 1227 const Complex *in (data ()); | |
| 1228 Complex *out (retval.fortran_vec ()); | |
| 1229 | |
| 4773 | 1230 octave_fftw::fft (in, out, npts, nsamples); |
| 3827 | 1231 |
| 1232 return retval; | |
| 1233 } | |
| 1234 | |
| 1235 ComplexMatrix | |
| 1236 ComplexMatrix::ifourier (void) const | |
| 1237 { | |
| 1238 size_t nr = rows (); | |
| 1239 size_t nc = cols (); | |
| 1240 | |
| 1241 ComplexMatrix retval (nr, nc); | |
| 1242 | |
| 1243 size_t npts, nsamples; | |
| 1244 | |
| 1245 if (nr == 1 || nc == 1) | |
| 1246 { | |
| 1247 npts = nr > nc ? nr : nc; | |
| 1248 nsamples = 1; | |
| 1249 } | |
| 1250 else | |
| 1251 { | |
| 1252 npts = nr; | |
| 1253 nsamples = nc; | |
| 1254 } | |
| 1255 | |
| 1256 const Complex *in (data ()); | |
| 1257 Complex *out (retval.fortran_vec ()); | |
| 1258 | |
| 4773 | 1259 octave_fftw::ifft (in, out, npts, nsamples); |
| 3827 | 1260 |
| 1261 return retval; | |
| 1262 } | |
| 1263 | |
| 1264 ComplexMatrix | |
| 1265 ComplexMatrix::fourier2d (void) const | |
| 1266 { | |
| 4773 | 1267 dim_vector dv(rows (), cols ()); |
| 1268 | |
| 1269 ComplexMatrix retval (rows (), cols ()); | |
| 1270 const Complex *in (data ()); | |
| 1271 Complex *out (retval.fortran_vec ()); | |
| 1272 | |
| 1273 octave_fftw::fftNd (in, out, 2, dv); | |
| 3827 | 1274 |
| 1275 return retval; | |
| 1276 } | |
| 1277 | |
| 1278 ComplexMatrix | |
| 1279 ComplexMatrix::ifourier2d (void) const | |
| 1280 { | |
| 4773 | 1281 dim_vector dv(rows (), cols ()); |
| 1282 | |
| 1283 ComplexMatrix retval (rows (), cols ()); | |
| 1284 const Complex *in (data ()); | |
| 1285 Complex *out (retval.fortran_vec ()); | |
| 1286 | |
| 1287 octave_fftw::ifftNd (in, out, 2, dv); | |
| 3827 | 1288 |
| 1289 return retval; | |
| 1290 } | |
| 1291 | |
| 1292 #else | |
| 1293 | |
|
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1294 extern "C" |
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1295 { |
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1296 // Note that the original complex fft routines were not written for |
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1297 // double complex arguments. They have been modified by adding an |
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1298 // implicit double precision (a-h,o-z) statement at the beginning of |
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1299 // each subroutine. |
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1300 |
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1301 F77_RET_T |
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1302 F77_FUNC (zffti, ZFFTI) (const octave_idx_type&, Complex*); |
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1303 |
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1304 F77_RET_T |
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1305 F77_FUNC (zfftf, ZFFTF) (const octave_idx_type&, Complex*, Complex*); |
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1306 |
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1307 F77_RET_T |
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1308 F77_FUNC (zfftb, ZFFTB) (const octave_idx_type&, Complex*, Complex*); |
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1309 } |
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1310 |
| 740 | 1311 ComplexMatrix |
| 458 | 1312 ComplexMatrix::fourier (void) const |
| 1313 { | |
| 1948 | 1314 ComplexMatrix retval; |
| 1315 | |
| 5275 | 1316 octave_idx_type nr = rows (); |
| 1317 octave_idx_type nc = cols (); | |
| 1318 | |
| 1319 octave_idx_type npts, nsamples; | |
| 1948 | 1320 |
| 458 | 1321 if (nr == 1 || nc == 1) |
| 1322 { | |
| 1323 npts = nr > nc ? nr : nc; | |
| 1324 nsamples = 1; | |
| 1325 } | |
| 1326 else | |
| 1327 { | |
| 1328 npts = nr; | |
| 1329 nsamples = nc; | |
| 1330 } | |
| 1331 | |
| 5275 | 1332 octave_idx_type nn = 4*npts+15; |
| 1948 | 1333 |
| 1334 Array<Complex> wsave (nn); | |
| 1335 Complex *pwsave = wsave.fortran_vec (); | |
| 1336 | |
| 1337 retval = *this; | |
| 1338 Complex *tmp_data = retval.fortran_vec (); | |
| 1339 | |
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1340 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
| 458 | 1341 |
| 5275 | 1342 for (octave_idx_type j = 0; j < nsamples; j++) |
| 4153 | 1343 { |
| 1344 OCTAVE_QUIT; | |
| 1345 | |
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1346 F77_FUNC (zfftf, ZFFTF) (npts, &tmp_data[npts*j], pwsave); |
| 4153 | 1347 } |
| 1948 | 1348 |
| 1349 return retval; | |
| 458 | 1350 } |
| 1351 | |
| 1352 ComplexMatrix | |
| 1353 ComplexMatrix::ifourier (void) const | |
| 1354 { | |
| 1948 | 1355 ComplexMatrix retval; |
| 1356 | |
| 5275 | 1357 octave_idx_type nr = rows (); |
| 1358 octave_idx_type nc = cols (); | |
| 1359 | |
| 1360 octave_idx_type npts, nsamples; | |
| 1948 | 1361 |
| 458 | 1362 if (nr == 1 || nc == 1) |
| 1363 { | |
| 1364 npts = nr > nc ? nr : nc; | |
| 1365 nsamples = 1; | |
| 1366 } | |
| 1367 else | |
| 1368 { | |
| 1369 npts = nr; | |
| 1370 nsamples = nc; | |
| 1371 } | |
| 1372 | |
| 5275 | 1373 octave_idx_type nn = 4*npts+15; |
| 1948 | 1374 |
| 1375 Array<Complex> wsave (nn); | |
| 1376 Complex *pwsave = wsave.fortran_vec (); | |
| 1377 | |
| 1378 retval = *this; | |
| 1379 Complex *tmp_data = retval.fortran_vec (); | |
| 1380 | |
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1381 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
| 458 | 1382 |
| 5275 | 1383 for (octave_idx_type j = 0; j < nsamples; j++) |
| 4153 | 1384 { |
| 1385 OCTAVE_QUIT; | |
| 1386 | |
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1387 F77_FUNC (zfftb, ZFFTB) (npts, &tmp_data[npts*j], pwsave); |
| 4153 | 1388 } |
| 458 | 1389 |
| 5275 | 1390 for (octave_idx_type j = 0; j < npts*nsamples; j++) |
| 3572 | 1391 tmp_data[j] = tmp_data[j] / static_cast<double> (npts); |
| 458 | 1392 |
| 1948 | 1393 return retval; |
| 458 | 1394 } |
| 1395 | |
| 677 | 1396 ComplexMatrix |
| 1397 ComplexMatrix::fourier2d (void) const | |
| 1398 { | |
| 1948 | 1399 ComplexMatrix retval; |
| 1400 | |
| 5275 | 1401 octave_idx_type nr = rows (); |
| 1402 octave_idx_type nc = cols (); | |
| 1403 | |
| 1404 octave_idx_type npts, nsamples; | |
| 1948 | 1405 |
| 677 | 1406 if (nr == 1 || nc == 1) |
| 1407 { | |
| 1408 npts = nr > nc ? nr : nc; | |
| 1409 nsamples = 1; | |
| 1410 } | |
| 1411 else | |
| 1412 { | |
| 1413 npts = nr; | |
| 1414 nsamples = nc; | |
| 1415 } | |
| 1416 | |
| 5275 | 1417 octave_idx_type nn = 4*npts+15; |
| 1948 | 1418 |
| 1419 Array<Complex> wsave (nn); | |
| 1420 Complex *pwsave = wsave.fortran_vec (); | |
| 1421 | |
| 1422 retval = *this; | |
| 1423 Complex *tmp_data = retval.fortran_vec (); | |
| 1424 | |
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1425 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
| 677 | 1426 |
| 5275 | 1427 for (octave_idx_type j = 0; j < nsamples; j++) |
| 4153 | 1428 { |
| 1429 OCTAVE_QUIT; | |
| 1430 | |
|
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1431 F77_FUNC (zfftf, ZFFTF) (npts, &tmp_data[npts*j], pwsave); |
| 4153 | 1432 } |
| 677 | 1433 |
| 1434 npts = nc; | |
| 1435 nsamples = nr; | |
| 1436 nn = 4*npts+15; | |
| 1948 | 1437 |
| 1438 wsave.resize (nn); | |
| 1439 pwsave = wsave.fortran_vec (); | |
| 1440 | |
| 4773 | 1441 Array<Complex> tmp (npts); |
| 1442 Complex *prow = tmp.fortran_vec (); | |
| 1948 | 1443 |
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1444 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
| 677 | 1445 |
| 5275 | 1446 for (octave_idx_type j = 0; j < nsamples; j++) |
| 677 | 1447 { |
| 4153 | 1448 OCTAVE_QUIT; |
| 1449 | |
| 5275 | 1450 for (octave_idx_type i = 0; i < npts; i++) |
| 1948 | 1451 prow[i] = tmp_data[i*nr + j]; |
| 1452 | |
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1453 F77_FUNC (zfftf, ZFFTF) (npts, prow, pwsave); |
| 677 | 1454 |
| 5275 | 1455 for (octave_idx_type i = 0; i < npts; i++) |
| 1948 | 1456 tmp_data[i*nr + j] = prow[i]; |
| 677 | 1457 } |
| 1458 | |
| 1948 | 1459 return retval; |
| 677 | 1460 } |
| 1461 | |
| 1462 ComplexMatrix | |
| 1463 ComplexMatrix::ifourier2d (void) const | |
| 1464 { | |
| 1948 | 1465 ComplexMatrix retval; |
| 1466 | |
| 5275 | 1467 octave_idx_type nr = rows (); |
| 1468 octave_idx_type nc = cols (); | |
| 1469 | |
| 1470 octave_idx_type npts, nsamples; | |
| 1948 | 1471 |
| 677 | 1472 if (nr == 1 || nc == 1) |
| 1473 { | |
| 1474 npts = nr > nc ? nr : nc; | |
| 1475 nsamples = 1; | |
| 1476 } | |
| 1477 else | |
| 1478 { | |
| 1479 npts = nr; | |
| 1480 nsamples = nc; | |
| 1481 } | |
| 1482 | |
| 5275 | 1483 octave_idx_type nn = 4*npts+15; |
| 1948 | 1484 |
| 1485 Array<Complex> wsave (nn); | |
| 1486 Complex *pwsave = wsave.fortran_vec (); | |
| 1487 | |
| 1488 retval = *this; | |
| 1489 Complex *tmp_data = retval.fortran_vec (); | |
| 1490 | |
|
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1491 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
| 677 | 1492 |
| 5275 | 1493 for (octave_idx_type j = 0; j < nsamples; j++) |
| 4153 | 1494 { |
| 1495 OCTAVE_QUIT; | |
| 1496 | |
|
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1497 F77_FUNC (zfftb, ZFFTB) (npts, &tmp_data[npts*j], pwsave); |
| 4153 | 1498 } |
| 677 | 1499 |
| 5275 | 1500 for (octave_idx_type j = 0; j < npts*nsamples; j++) |
| 3572 | 1501 tmp_data[j] = tmp_data[j] / static_cast<double> (npts); |
| 677 | 1502 |
| 1503 npts = nc; | |
| 1504 nsamples = nr; | |
| 1505 nn = 4*npts+15; | |
| 1948 | 1506 |
| 1507 wsave.resize (nn); | |
| 1508 pwsave = wsave.fortran_vec (); | |
| 1509 | |
| 4773 | 1510 Array<Complex> tmp (npts); |
| 1511 Complex *prow = tmp.fortran_vec (); | |
| 1948 | 1512 |
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|
1513 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
| 677 | 1514 |
| 5275 | 1515 for (octave_idx_type j = 0; j < nsamples; j++) |
| 677 | 1516 { |
| 4153 | 1517 OCTAVE_QUIT; |
| 1518 | |
| 5275 | 1519 for (octave_idx_type i = 0; i < npts; i++) |
| 1948 | 1520 prow[i] = tmp_data[i*nr + j]; |
| 1521 | |
|
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1522 F77_FUNC (zfftb, ZFFTB) (npts, prow, pwsave); |
| 677 | 1523 |
| 5275 | 1524 for (octave_idx_type i = 0; i < npts; i++) |
| 3572 | 1525 tmp_data[i*nr + j] = prow[i] / static_cast<double> (npts); |
| 677 | 1526 } |
| 1527 | |
| 1948 | 1528 return retval; |
| 677 | 1529 } |
| 1530 | |
| 3827 | 1531 #endif |
| 1532 | |
| 458 | 1533 ComplexDET |
| 1534 ComplexMatrix::determinant (void) const | |
| 1535 { | |
| 5275 | 1536 octave_idx_type info; |
| 7788 | 1537 double rcon; |
| 1538 return determinant (info, rcon, 0); | |
| 458 | 1539 } |
| 1540 | |
| 1541 ComplexDET | |
| 5275 | 1542 ComplexMatrix::determinant (octave_idx_type& info) const |
| 458 | 1543 { |
| 7788 | 1544 double rcon; |
| 1545 return determinant (info, rcon, 0); | |
| 458 | 1546 } |
| 1547 | |
| 1548 ComplexDET | |
| 7788 | 1549 ComplexMatrix::determinant (octave_idx_type& info, double& rcon, int calc_cond) const |
| 458 | 1550 { |
|
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|
1551 MatrixType mattype (*this); |
|
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|
1552 return determinant (mattype, info, rcon, calc_cond); |
|
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1553 } |
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|
1554 |
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|
1555 ComplexDET |
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|
1556 ComplexMatrix::determinant (MatrixType& mattype, |
| 8806 | 1557 octave_idx_type& info, double& rcon, |
| 1558 int calc_cond) const | |
|
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|
1559 { |
|
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|
1560 ComplexDET retval (1.0); |
| 458 | 1561 |
| 5275 | 1562 octave_idx_type nr = rows (); |
| 1563 octave_idx_type nc = cols (); | |
| 458 | 1564 |
|
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1565 if (nr != nc) |
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|
1566 (*current_liboctave_error_handler) ("matrix must be square"); |
| 458 | 1567 else |
| 1568 { | |
| 8806 | 1569 volatile int typ = mattype.type (); |
|
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1570 |
|
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1571 if (typ == MatrixType::Unknown) |
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1572 typ = mattype.type (*this); |
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1573 |
|
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1574 if (typ == MatrixType::Lower || typ == MatrixType::Upper) |
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|
1575 { |
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1576 for (octave_idx_type i = 0; i < nc; i++) |
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1577 retval *= elem (i,i); |
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1578 } |
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1579 else if (typ == MatrixType::Hermitian) |
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1580 { |
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|
1581 ComplexMatrix atmp = *this; |
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1582 Complex *tmp_data = atmp.fortran_vec (); |
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1583 |
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1584 info = 0; |
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1585 double anorm = 0; |
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|
1586 if (calc_cond) anorm = xnorm (*this, 1); |
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1587 |
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1588 |
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|
1589 char job = 'L'; |
|
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|
1590 F77_XFCN (zpotrf, ZPOTRF, (F77_CONST_CHAR_ARG2 (&job, 1), nr, |
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1591 tmp_data, nr, info |
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|
1592 F77_CHAR_ARG_LEN (1))); |
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|
1593 |
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1594 if (info != 0) |
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|
1595 { |
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|
1596 rcon = 0.0; |
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|
1597 mattype.mark_as_unsymmetric (); |
|
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1598 typ = MatrixType::Full; |
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1599 } |
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1600 else |
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1601 { |
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1602 Array<Complex> z (2 * nc); |
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1603 Complex *pz = z.fortran_vec (); |
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1604 Array<double> rz (nc); |
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1605 double *prz = rz.fortran_vec (); |
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1606 |
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1607 F77_XFCN (zpocon, ZPOCON, (F77_CONST_CHAR_ARG2 (&job, 1), |
|
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1608 nr, tmp_data, nr, anorm, |
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1609 rcon, pz, prz, info |
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1610 F77_CHAR_ARG_LEN (1))); |
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1611 |
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1612 if (info != 0) |
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1613 rcon = 0.0; |
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1614 |
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1615 for (octave_idx_type i = 0; i < nc; i++) |
|
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1616 retval *= atmp (i,i); |
|
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1617 |
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1618 retval = retval.square (); |
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1619 } |
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1620 } |
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1621 else if (typ != MatrixType::Full) |
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1622 (*current_liboctave_error_handler) ("det: invalid dense matrix type"); |
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1623 |
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1624 if (typ == MatrixType::Full) |
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1625 { |
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1626 Array<octave_idx_type> ipvt (nr); |
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1627 octave_idx_type *pipvt = ipvt.fortran_vec (); |
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1628 |
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1629 ComplexMatrix atmp = *this; |
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1630 Complex *tmp_data = atmp.fortran_vec (); |
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|
1631 |
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1632 info = 0; |
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1633 |
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1634 // Calculate the norm of the matrix, for later use. |
|
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1635 double anorm = 0; |
|
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1636 if (calc_cond) anorm = xnorm (*this, 1); |
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1637 |
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1638 F77_XFCN (zgetrf, ZGETRF, (nr, nr, tmp_data, nr, pipvt, info)); |
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1639 |
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|
1640 // Throw-away extra info LAPACK gives so as to not change output. |
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1641 rcon = 0.0; |
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1642 if (info != 0) |
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|
1643 { |
|
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1644 info = -1; |
|
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1645 retval = ComplexDET (); |
|
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1646 } |
|
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|
1647 else |
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|
1648 { |
|
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1649 if (calc_cond) |
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1650 { |
|
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1651 // Now calc the condition number for non-singular matrix. |
|
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1652 char job = '1'; |
|
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1653 Array<Complex> z (2 * nc); |
|
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1654 Complex *pz = z.fortran_vec (); |
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1655 Array<double> rz (2 * nc); |
|
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1656 double *prz = rz.fortran_vec (); |
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|
1657 |
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1658 F77_XFCN (zgecon, ZGECON, (F77_CONST_CHAR_ARG2 (&job, 1), |
|
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1659 nc, tmp_data, nr, anorm, |
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1660 rcon, pz, prz, info |
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1661 F77_CHAR_ARG_LEN (1))); |
| 8335 | 1662 } |
|
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|
1663 |
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1664 if (info != 0) |
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1665 { |
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1666 info = -1; |
|
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1667 retval = ComplexDET (); |
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1668 } |
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|
1669 else |
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1670 { |
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1671 for (octave_idx_type i = 0; i < nc; i++) |
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1672 { |
|
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|
1673 Complex c = atmp(i,i); |
|
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1674 retval *= (ipvt(i) != (i+1)) ? -c : c; |
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1675 } |
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1676 } |
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|
1677 } |
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1678 } |
| 458 | 1679 } |
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|
1680 |
| 458 | 1681 return retval; |
| 1682 } | |
| 1683 | |
| 7788 | 1684 double |
| 1685 ComplexMatrix::rcond (void) const | |
| 1686 { | |
| 1687 MatrixType mattype (*this); | |
| 1688 return rcond (mattype); | |
| 1689 } | |
| 1690 | |
| 1691 double | |
| 1692 ComplexMatrix::rcond (MatrixType &mattype) const | |
| 1693 { | |
| 1694 double rcon; | |
| 1695 octave_idx_type nr = rows (); | |
| 1696 octave_idx_type nc = cols (); | |
| 1697 | |
| 1698 if (nr != nc) | |
| 1699 (*current_liboctave_error_handler) ("matrix must be square"); | |
| 1700 else if (nr == 0 || nc == 0) | |
| 1701 rcon = octave_Inf; | |
| 1702 else | |
| 1703 { | |
| 1704 int typ = mattype.type (); | |
| 1705 | |
| 1706 if (typ == MatrixType::Unknown) | |
| 1707 typ = mattype.type (*this); | |
| 1708 | |
| 1709 // Only calculate the condition number for LU/Cholesky | |
| 1710 if (typ == MatrixType::Upper) | |
| 1711 { | |
| 1712 const Complex *tmp_data = fortran_vec (); | |
| 1713 octave_idx_type info = 0; | |
| 1714 char norm = '1'; | |
| 1715 char uplo = 'U'; | |
| 1716 char dia = 'N'; | |
| 1717 | |
| 1718 Array<Complex> z (2 * nc); | |
| 1719 Complex *pz = z.fortran_vec (); | |
| 1720 Array<double> rz (nc); | |
| 1721 double *prz = rz.fortran_vec (); | |
| 1722 | |
| 1723 F77_XFCN (ztrcon, ZTRCON, (F77_CONST_CHAR_ARG2 (&norm, 1), | |
| 1724 F77_CONST_CHAR_ARG2 (&uplo, 1), | |
| 1725 F77_CONST_CHAR_ARG2 (&dia, 1), | |
| 1726 nr, tmp_data, nr, rcon, | |
| 1727 pz, prz, info | |
| 1728 F77_CHAR_ARG_LEN (1) | |
| 1729 F77_CHAR_ARG_LEN (1) | |
| 1730 F77_CHAR_ARG_LEN (1))); | |
| 1731 | |
| 1732 if (info != 0) | |
| 1733 rcon = 0; | |
| 1734 } | |
| 1735 else if (typ == MatrixType::Permuted_Upper) | |
| 1736 (*current_liboctave_error_handler) | |
| 1737 ("permuted triangular matrix not implemented"); | |
| 1738 else if (typ == MatrixType::Lower) | |
| 1739 { | |
| 1740 const Complex *tmp_data = fortran_vec (); | |
| 1741 octave_idx_type info = 0; | |
| 1742 char norm = '1'; | |
| 1743 char uplo = 'L'; | |
| 1744 char dia = 'N'; | |
| 1745 | |
| 1746 Array<Complex> z (2 * nc); | |
| 1747 Complex *pz = z.fortran_vec (); | |
| 1748 Array<double> rz (nc); | |
| 1749 double *prz = rz.fortran_vec (); | |
| 1750 | |
| 1751 F77_XFCN (ztrcon, ZTRCON, (F77_CONST_CHAR_ARG2 (&norm, 1), | |
| 1752 F77_CONST_CHAR_ARG2 (&uplo, 1), | |
| 1753 F77_CONST_CHAR_ARG2 (&dia, 1), | |
| 1754 nr, tmp_data, nr, rcon, | |
| 1755 pz, prz, info | |
| 1756 F77_CHAR_ARG_LEN (1) | |
| 1757 F77_CHAR_ARG_LEN (1) | |
| 1758 F77_CHAR_ARG_LEN (1))); | |
| 1759 | |
| 1760 if (info != 0) | |
| 1761 rcon = 0.0; | |
| 1762 } | |
| 1763 else if (typ == MatrixType::Permuted_Lower) | |
| 1764 (*current_liboctave_error_handler) | |
| 1765 ("permuted triangular matrix not implemented"); | |
| 1766 else if (typ == MatrixType::Full || typ == MatrixType::Hermitian) | |
| 1767 { | |
| 1768 double anorm = -1.0; | |
| 1769 ComplexMatrix atmp = *this; | |
| 1770 Complex *tmp_data = atmp.fortran_vec (); | |
| 1771 | |
| 1772 if (typ == MatrixType::Hermitian) | |
| 1773 { | |
| 1774 octave_idx_type info = 0; | |
| 1775 char job = 'L'; | |
| 1776 anorm = atmp.abs().sum(). | |
| 1777 row(static_cast<octave_idx_type>(0)).max(); | |
| 1778 | |
| 1779 F77_XFCN (zpotrf, ZPOTRF, (F77_CONST_CHAR_ARG2 (&job, 1), nr, | |
| 1780 tmp_data, nr, info | |
| 1781 F77_CHAR_ARG_LEN (1))); | |
| 1782 | |
| 1783 if (info != 0) | |
| 1784 { | |
| 1785 rcon = 0.0; | |
| 1786 | |
| 1787 mattype.mark_as_unsymmetric (); | |
| 1788 typ = MatrixType::Full; | |
| 1789 } | |
| 1790 else | |
| 1791 { | |
| 1792 Array<Complex> z (2 * nc); | |
| 1793 Complex *pz = z.fortran_vec (); | |
| 1794 Array<double> rz (nc); | |
| 1795 double *prz = rz.fortran_vec (); | |
| 1796 | |
| 1797 F77_XFCN (zpocon, ZPOCON, (F77_CONST_CHAR_ARG2 (&job, 1), | |
| 1798 nr, tmp_data, nr, anorm, | |
| 1799 rcon, pz, prz, info | |
| 1800 F77_CHAR_ARG_LEN (1))); | |
| 1801 | |
| 1802 if (info != 0) | |
| 1803 rcon = 0.0; | |
| 1804 } | |
| 1805 } | |
| 1806 | |
| 1807 | |
| 1808 if (typ == MatrixType::Full) | |
| 1809 { | |
| 1810 octave_idx_type info = 0; | |
| 1811 | |
| 1812 Array<octave_idx_type> ipvt (nr); | |
| 1813 octave_idx_type *pipvt = ipvt.fortran_vec (); | |
| 1814 | |
| 1815 if(anorm < 0.) | |
| 1816 anorm = atmp.abs().sum(). | |
| 1817 row(static_cast<octave_idx_type>(0)).max(); | |
| 1818 | |
| 1819 Array<Complex> z (2 * nc); | |
| 1820 Complex *pz = z.fortran_vec (); | |
| 1821 Array<double> rz (2 * nc); | |
| 1822 double *prz = rz.fortran_vec (); | |
| 1823 | |
| 1824 F77_XFCN (zgetrf, ZGETRF, (nr, nr, tmp_data, nr, pipvt, info)); | |
| 1825 | |
| 1826 if (info != 0) | |
| 1827 { | |
| 1828 rcon = 0.0; | |
| 1829 mattype.mark_as_rectangular (); | |
| 1830 } | |
| 1831 else | |
| 1832 { | |
| 1833 char job = '1'; | |
| 1834 F77_XFCN (zgecon, ZGECON, (F77_CONST_CHAR_ARG2 (&job, 1), | |
| 1835 nc, tmp_data, nr, anorm, | |
| 1836 rcon, pz, prz, info | |
| 1837 F77_CHAR_ARG_LEN (1))); | |
| 1838 | |
| 1839 if (info != 0) | |
| 1840 rcon = 0.0; | |
| 1841 } | |
| 1842 } | |
| 1843 } | |
| 1844 else | |
| 1845 rcon = 0.0; | |
| 1846 } | |
| 1847 | |
| 1848 return rcon; | |
| 1849 } | |
| 1850 | |
| 458 | 1851 ComplexMatrix |
| 5785 | 1852 ComplexMatrix::utsolve (MatrixType &mattype, const ComplexMatrix& b, |
| 7788 | 1853 octave_idx_type& info, double& rcon, |
| 5785 | 1854 solve_singularity_handler sing_handler, |
|
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|
1855 bool calc_cond, blas_trans_type transt) const |
| 5785 | 1856 { |
| 1857 ComplexMatrix retval; | |
| 1858 | |
| 1859 octave_idx_type nr = rows (); | |
| 1860 octave_idx_type nc = cols (); | |
| 1861 | |
| 6924 | 1862 if (nr != b.rows ()) |
| 5785 | 1863 (*current_liboctave_error_handler) |
| 1864 ("matrix dimension mismatch solution of linear equations"); | |
| 6924 | 1865 else if (nr == 0 || nc == 0 || b.cols () == 0) |
| 1866 retval = ComplexMatrix (nc, b.cols (), Complex (0.0, 0.0)); | |
| 5785 | 1867 else |
| 1868 { | |
| 1869 volatile int typ = mattype.type (); | |
| 1870 | |
| 1871 if (typ == MatrixType::Permuted_Upper || | |
| 1872 typ == MatrixType::Upper) | |
| 1873 { | |
| 1874 octave_idx_type b_nc = b.cols (); | |
| 7788 | 1875 rcon = 1.; |
| 5785 | 1876 info = 0; |
| 1877 | |
| 1878 if (typ == MatrixType::Permuted_Upper) | |
| 1879 { | |
| 1880 (*current_liboctave_error_handler) | |
| 6390 | 1881 ("permuted triangular matrix not implemented"); |
| 5785 | 1882 } |
| 1883 else | |
| 1884 { | |
| 1885 const Complex *tmp_data = fortran_vec (); | |
| 1886 | |
| 1887 if (calc_cond) | |
| 1888 { | |
| 1889 char norm = '1'; | |
| 1890 char uplo = 'U'; | |
| 1891 char dia = 'N'; | |
| 1892 | |
| 1893 Array<Complex> z (2 * nc); | |
| 1894 Complex *pz = z.fortran_vec (); | |
| 1895 Array<double> rz (nc); | |
| 1896 double *prz = rz.fortran_vec (); | |
| 1897 | |
| 1898 F77_XFCN (ztrcon, ZTRCON, (F77_CONST_CHAR_ARG2 (&norm, 1), | |
| 1899 F77_CONST_CHAR_ARG2 (&uplo, 1), | |
| 1900 F77_CONST_CHAR_ARG2 (&dia, 1), | |
| 7788 | 1901 nr, tmp_data, nr, rcon, |
| 5785 | 1902 pz, prz, info |
| 1903 F77_CHAR_ARG_LEN (1) | |
| 1904 F77_CHAR_ARG_LEN (1) | |
| 1905 F77_CHAR_ARG_LEN (1))); | |
| 1906 | |
| 1907 if (info != 0) | |
| 1908 info = -2; | |
| 1909 | |
| 7788 | 1910 volatile double rcond_plus_one = rcon + 1.0; |
| 1911 | |
| 1912 if (rcond_plus_one == 1.0 || xisnan (rcon)) | |
| 5785 | 1913 { |
| 1914 info = -2; | |
| 1915 | |
| 1916 if (sing_handler) | |
| 7788 | 1917 sing_handler (rcon); |
| 5785 | 1918 else |
| 1919 (*current_liboctave_error_handler) | |
| 1920 ("matrix singular to machine precision, rcond = %g", | |
| 7788 | 1921 rcon); |
| 5785 | 1922 } |
| 1923 } | |
| 1924 | |
| 1925 if (info == 0) | |
| 1926 { | |
| 1927 retval = b; | |
| 1928 Complex *result = retval.fortran_vec (); | |
| 1929 | |
| 1930 char uplo = 'U'; | |
|
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|
1931 char trans = get_blas_char (transt); |
| 5785 | 1932 char dia = 'N'; |
| 1933 | |
| 1934 F77_XFCN (ztrtrs, ZTRTRS, (F77_CONST_CHAR_ARG2 (&uplo, 1), | |
| 1935 F77_CONST_CHAR_ARG2 (&trans, 1), | |
| 1936 F77_CONST_CHAR_ARG2 (&dia, 1), | |
| 1937 nr, b_nc, tmp_data, nr, | |
| 1938 result, nr, info | |
| 1939 F77_CHAR_ARG_LEN (1) | |
| 1940 F77_CHAR_ARG_LEN (1) | |
| 1941 F77_CHAR_ARG_LEN (1))); | |
| 1942 } | |
| 1943 } | |
| 1944 } | |
| 1945 else | |
| 1946 (*current_liboctave_error_handler) ("incorrect matrix type"); | |
| 1947 } | |
| 1948 | |
| 1949 return retval; | |
| 1950 } | |
| 1951 | |
| 1952 ComplexMatrix | |
| 1953 ComplexMatrix::ltsolve (MatrixType &mattype, const ComplexMatrix& b, | |
| 7788 | 1954 octave_idx_type& info, double& rcon, |
| 5785 | 1955 solve_singularity_handler sing_handler, |
|
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|
1956 bool calc_cond, blas_trans_type transt) const |
| 5785 | 1957 { |
| 1958 ComplexMatrix retval; | |
| 1959 | |
| 1960 octave_idx_type nr = rows (); | |
| 1961 octave_idx_type nc = cols (); | |
| 1962 | |
| 6924 | 1963 if (nr != b.rows ()) |
| 5785 | 1964 (*current_liboctave_error_handler) |
| 1965 ("matrix dimension mismatch solution of linear equations"); | |
| 6924 | 1966 else if (nr == 0 || nc == 0 || b.cols () == 0) |
| 1967 retval = ComplexMatrix (nc, b.cols (), Complex (0.0, 0.0)); | |
| 5785 | 1968 else |
| 1969 { | |
| 1970 volatile int typ = mattype.type (); | |
| 1971 | |
| 1972 if (typ == MatrixType::Permuted_Lower || | |
| 1973 typ == MatrixType::Lower) | |
| 1974 { | |
| 1975 octave_idx_type b_nc = b.cols (); | |
| 7788 | 1976 rcon = 1.; |
| 5785 | 1977 info = 0; |
| 1978 | |
| 1979 if (typ == MatrixType::Permuted_Lower) | |
| 1980 { | |
| 1981 (*current_liboctave_error_handler) | |
| 6390 | 1982 ("permuted triangular matrix not implemented"); |
| 5785 | 1983 } |
| 1984 else | |
| 1985 { | |
| 1986 const Complex *tmp_data = fortran_vec (); | |
| 1987 | |
| 1988 if (calc_cond) | |
| 1989 { | |
| 1990 char norm = '1'; | |
| 1991 char uplo = 'L'; | |
| 1992 char dia = 'N'; | |
| 1993 | |
| 1994 Array<Complex> z (2 * nc); | |
| 1995 Complex *pz = z.fortran_vec (); | |
| 1996 Array<double> rz (nc); | |
| 1997 double *prz = rz.fortran_vec (); | |
| 1998 | |
| 1999 F77_XFCN (ztrcon, ZTRCON, (F77_CONST_CHAR_ARG2 (&norm, 1), | |
| 2000 F77_CONST_CHAR_ARG2 (&uplo, 1), | |
| 2001 F77_CONST_CHAR_ARG2 (&dia, 1), | |
| 7788 | 2002 nr, tmp_data, nr, rcon, |
| 5785 | 2003 pz, prz, info |
| 2004 F77_CHAR_ARG_LEN (1) | |
| 2005 F77_CHAR_ARG_LEN (1) | |
| 2006 F77_CHAR_ARG_LEN (1))); | |
| 2007 | |
| 2008 if (info != 0) | |
| 2009 info = -2; | |
| 2010 | |
| 7788 | 2011 volatile double rcond_plus_one = rcon + 1.0; |
| 2012 | |
| 2013 if (rcond_plus_one == 1.0 || xisnan (rcon)) | |
| 5785 | 2014 { |
| 2015 info = -2; | |
| 2016 | |
| 2017 if (sing_handler) | |
| 7788 | 2018 sing_handler (rcon); |
| 5785 | 2019 else |
| 2020 (*current_liboctave_error_handler) | |
| 2021 ("matrix singular to machine precision, rcond = %g", | |
| 7788 | 2022 rcon); |
| 5785 | 2023 } |
| 2024 } | |
| 2025 | |
| 2026 if (info == 0) | |
| 2027 { | |
| 2028 retval = b; | |
| 2029 Complex *result = retval.fortran_vec (); | |
| 2030 | |
| 2031 char uplo = 'L'; | |
|
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|
2032 char trans = get_blas_char (transt); |
| 5785 | 2033 char dia = 'N'; |
| 2034 | |
| 2035 F77_XFCN (ztrtrs, ZTRTRS, (F77_CONST_CHAR_ARG2 (&uplo, 1), | |
| 2036 F77_CONST_CHAR_ARG2 (&trans, 1), | |
| 2037 F77_CONST_CHAR_ARG2 (&dia, 1), | |
| 2038 nr, b_nc, tmp_data, nr, | |
| 2039 result, nr, info | |
| 2040 F77_CHAR_ARG_LEN (1) | |
| 2041 F77_CHAR_ARG_LEN (1) | |
| 2042 F77_CHAR_ARG_LEN (1))); | |
| 2043 } | |
| 2044 } | |
| 2045 } | |
| 2046 else | |
| 2047 (*current_liboctave_error_handler) ("incorrect matrix type"); | |
| 2048 } | |
| 2049 | |
| 2050 return retval; | |
| 2051 } | |
| 2052 | |
| 2053 ComplexMatrix | |
| 2054 ComplexMatrix::fsolve (MatrixType &mattype, const ComplexMatrix& b, | |
| 7788 | 2055 octave_idx_type& info, double& rcon, |
| 5785 | 2056 solve_singularity_handler sing_handler, |
| 2057 bool calc_cond) const | |
| 2058 { | |
| 2059 ComplexMatrix retval; | |
| 2060 | |
| 2061 octave_idx_type nr = rows (); | |
| 2062 octave_idx_type nc = cols (); | |
| 2063 | |
| 6924 | 2064 |
| 2065 if (nr != nc || nr != b.rows ()) | |
| 5785 | 2066 (*current_liboctave_error_handler) |
| 6924 | 2067 ("matrix dimension mismatch solution of linear equations"); |
| 2068 else if (nr == 0 || b.cols () == 0) | |
| 2069 retval = ComplexMatrix (nc, b.cols (), Complex (0.0, 0.0)); | |
| 5785 | 2070 else |
| 2071 { | |
| 2072 volatile int typ = mattype.type (); | |
| 2073 | |
| 2074 // Calculate the norm of the matrix, for later use. | |
| 2075 double anorm = -1.; | |
| 2076 | |
| 2077 if (typ == MatrixType::Hermitian) | |
| 2078 { | |
| 2079 info = 0; | |
| 2080 char job = 'L'; | |
| 2081 ComplexMatrix atmp = *this; | |
| 2082 Complex *tmp_data = atmp.fortran_vec (); | |
| 2083 anorm = atmp.abs().sum().row(static_cast<octave_idx_type>(0)).max(); | |
| 2084 | |
| 2085 F77_XFCN (zpotrf, ZPOTRF, (F77_CONST_CHAR_ARG2 (&job, 1), nr, | |
| 2086 tmp_data, nr, info | |
| 2087 F77_CHAR_ARG_LEN (1))); | |
| 2088 | |
|
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|
2089 // Throw-away extra info LAPACK gives so as to not change output. |
| 7788 | 2090 rcon = 0.0; |
|
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|
2091 if (info != 0) |
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|
2092 { |
|
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|
2093 info = -2; |
|
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|
2094 |
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|
2095 mattype.mark_as_unsymmetric (); |
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2096 typ = MatrixType::Full; |
|
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|
2097 } |
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|
2098 else |
| 5785 | 2099 { |
|
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|
2100 if (calc_cond) |
| 5785 | 2101 { |
|
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|
2102 Array<Complex> z (2 * nc); |
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2103 Complex *pz = z.fortran_vec (); |
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|
2104 Array<double> rz (nc); |
|
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|
2105 double *prz = rz.fortran_vec (); |
|
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|
2106 |
|
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|
2107 F77_XFCN (zpocon, ZPOCON, (F77_CONST_CHAR_ARG2 (&job, 1), |
|
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|
2108 nr, tmp_data, nr, anorm, |
| 7788 | 2109 rcon, pz, prz, info |
|
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|
2110 F77_CHAR_ARG_LEN (1))); |
|
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|
2111 |
|
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|
2112 if (info != 0) |
|
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|
2113 info = -2; |
|
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|
2114 |
| 7788 | 2115 volatile double rcond_plus_one = rcon + 1.0; |
| 2116 | |
| 2117 if (rcond_plus_one == 1.0 || xisnan (rcon)) | |
|
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|
2118 { |
|
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|
2119 info = -2; |
|
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|
2120 |
|
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|
2121 if (sing_handler) |
| 7788 | 2122 sing_handler (rcon); |
|
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|
2123 else |
|
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|
2124 (*current_liboctave_error_handler) |
|
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|
2125 ("matrix singular to machine precision, rcond = %g", |
| 7788 | 2126 rcon); |
|
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|
2127 } |
|
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|
2128 } |
|
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|
2129 |
|
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|
2130 if (info == 0) |
|
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|
2131 { |
|
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|
2132 retval = b; |
|
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|
2133 Complex *result = retval.fortran_vec (); |
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|
2134 |
|
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|
2135 octave_idx_type b_nc = b.cols (); |
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|
2136 |
|
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|
2137 F77_XFCN (zpotrs, ZPOTRS, (F77_CONST_CHAR_ARG2 (&job, 1), |
|
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|
2138 nr, b_nc, tmp_data, nr, |
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|
2139 result, b.rows(), info |
|
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|
2140 F77_CHAR_ARG_LEN (1))); |
|
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|
2141 } |
|
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|
2142 else |
|
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|
2143 { |
| 5785 | 2144 mattype.mark_as_unsymmetric (); |
| 2145 typ = MatrixType::Full; | |
| 2146 } | |
| 2147 } | |
| 2148 } | |
| 2149 | |
| 2150 if (typ == MatrixType::Full) | |
| 2151 { | |
| 2152 info = 0; | |
| 2153 | |
| 2154 Array<octave_idx_type> ipvt (nr); | |
| 2155 octave_idx_type *pipvt = ipvt.fortran_vec (); | |
| 2156 | |
| 2157 ComplexMatrix atmp = *this; | |
| 2158 Complex *tmp_data = atmp.fortran_vec (); | |
| 2159 | |
| 2160 Array<Complex> z (2 * nc); | |
| 2161 Complex *pz = z.fortran_vec (); | |
| 2162 Array<double> rz (2 * nc); | |
| 2163 double *prz = rz.fortran_vec (); | |
| 2164 | |
| 2165 // Calculate the norm of the matrix, for later use. | |
| 2166 if (anorm < 0.) | |
| 2167 anorm = atmp.abs().sum().row(static_cast<octave_idx_type>(0)).max(); | |
| 2168 | |
| 2169 F77_XFCN (zgetrf, ZGETRF, (nr, nr, tmp_data, nr, pipvt, info)); | |
| 2170 | |
|
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|
2171 // Throw-away extra info LAPACK gives so as to not change output. |
| 7788 | 2172 rcon = 0.0; |
|
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|
2173 if (info != 0) |
|
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|
2174 { |
|
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|
2175 info = -2; |
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|
2176 |
|
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|
2177 if (sing_handler) |
| 7788 | 2178 sing_handler (rcon); |
|
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|
2179 else |
|
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|
2180 (*current_liboctave_error_handler) |
|
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|
2181 ("matrix singular to machine precision"); |
|
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|
2182 |
|
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|
2183 mattype.mark_as_rectangular (); |
|
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|
2184 } |
|
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diff
changeset
|
2185 else |
| 5785 | 2186 { |
|
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|
2187 if (calc_cond) |
| 5785 | 2188 { |
|
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diff
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|
2189 // Now calculate the condition number for |
|
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diff
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|
2190 // non-singular matrix. |
|
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diff
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|
2191 char job = '1'; |
|
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diff
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|
2192 F77_XFCN (zgecon, ZGECON, (F77_CONST_CHAR_ARG2 (&job, 1), |
|
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diff
changeset
|
2193 nc, tmp_data, nr, anorm, |
| 7788 | 2194 rcon, pz, prz, info |
|
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|
2195 F77_CHAR_ARG_LEN (1))); |
|
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diff
changeset
|
2196 |
|
29980c6b8604
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|
2197 if (info != 0) |
|
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diff
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|
2198 info = -2; |
|
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diff
changeset
|
2199 |
| 7788 | 2200 volatile double rcond_plus_one = rcon + 1.0; |
| 2201 | |
| 2202 if (rcond_plus_one == 1.0 || xisnan (rcon)) | |
| 5785 | 2203 { |
|
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diff
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|
2204 info = -2; |
|
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diff
changeset
|
2205 |
|
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diff
changeset
|
2206 if (sing_handler) |
| 7788 | 2207 sing_handler (rcon); |
|
7482
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diff
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|
2208 else |
|
29980c6b8604
don't check f77_exception_encountered
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parents:
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diff
changeset
|
2209 (*current_liboctave_error_handler) |
|
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parents:
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diff
changeset
|
2210 ("matrix singular to machine precision, rcond = %g", |
| 7788 | 2211 rcon); |
| 5785 | 2212 } |
| 2213 } | |
|
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29980c6b8604
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diff
changeset
|
2214 |
|
29980c6b8604
don't check f77_exception_encountered
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parents:
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diff
changeset
|
2215 if (info == 0) |
|
29980c6b8604
don't check f77_exception_encountered
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diff
changeset
|
2216 { |
|
29980c6b8604
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diff
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|
2217 retval = b; |
|
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don't check f77_exception_encountered
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diff
changeset
|
2218 Complex *result = retval.fortran_vec (); |
|
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diff
changeset
|
2219 |
|
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diff
changeset
|
2220 octave_idx_type b_nc = b.cols (); |
|
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don't check f77_exception_encountered
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diff
changeset
|
2221 |
|
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diff
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|
2222 char job = 'N'; |
|
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don't check f77_exception_encountered
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diff
changeset
|
2223 F77_XFCN (zgetrs, ZGETRS, (F77_CONST_CHAR_ARG2 (&job, 1), |
|
29980c6b8604
don't check f77_exception_encountered
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diff
changeset
|
2224 nr, b_nc, tmp_data, nr, |
|
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don't check f77_exception_encountered
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parents:
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diff
changeset
|
2225 pipvt, result, b.rows(), info |
|
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diff
changeset
|
2226 F77_CHAR_ARG_LEN (1))); |
|
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diff
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|
2227 } |
|
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don't check f77_exception_encountered
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diff
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|
2228 else |
|
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diff
changeset
|
2229 mattype.mark_as_rectangular (); |
| 5785 | 2230 } |
| 2231 } | |
| 2232 } | |
| 2233 | |
| 2234 return retval; | |
| 2235 } | |
| 2236 | |
| 2237 ComplexMatrix | |
| 2238 ComplexMatrix::solve (MatrixType &typ, const Matrix& b) const | |
| 2239 { | |
| 2240 octave_idx_type info; | |
| 7788 | 2241 double rcon; |
| 2242 return solve (typ, b, info, rcon, 0); | |
| 5785 | 2243 } |
| 2244 | |
| 2245 ComplexMatrix | |
| 2246 ComplexMatrix::solve (MatrixType &typ, const Matrix& b, | |
| 2247 octave_idx_type& info) const | |
| 2248 { | |
| 7788 | 2249 double rcon; |
| 2250 return solve (typ, b, info, rcon, 0); | |
| 5785 | 2251 } |
| 2252 | |
| 2253 ComplexMatrix | |
| 2254 ComplexMatrix::solve (MatrixType &typ, const Matrix& b, octave_idx_type& info, | |
| 7788 | 2255 double& rcon) const |
| 5785 | 2256 { |
| 7788 | 2257 return solve (typ, b, info, rcon, 0); |
| 5785 | 2258 } |
| 2259 | |
| 2260 ComplexMatrix | |
| 2261 ComplexMatrix::solve (MatrixType &typ, const Matrix& b, octave_idx_type& info, | |
| 7788 | 2262 double& rcon, solve_singularity_handler sing_handler, |
|
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|
2263 bool singular_fallback, blas_trans_type transt) const |
| 5785 | 2264 { |
| 2265 ComplexMatrix tmp (b); | |
|
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diff
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|
2266 return solve (typ, tmp, info, rcon, sing_handler, singular_fallback, transt); |
| 5785 | 2267 } |
| 2268 | |
| 2269 ComplexMatrix | |
| 2270 ComplexMatrix::solve (MatrixType &typ, const ComplexMatrix& b) const | |
| 2271 { | |
| 2272 octave_idx_type info; | |
| 7788 | 2273 double rcon; |
| 2274 return solve (typ, b, info, rcon, 0); | |
| 5785 | 2275 } |
| 2276 | |
| 2277 ComplexMatrix | |
| 2278 ComplexMatrix::solve (MatrixType &typ, const ComplexMatrix& b, | |
| 2279 octave_idx_type& info) const | |
| 2280 { | |
| 7788 | 2281 double rcon; |
| 2282 return solve (typ, b, info, rcon, 0); | |
| 5785 | 2283 } |
| 2284 | |
| 2285 ComplexMatrix | |
| 2286 ComplexMatrix::solve (MatrixType &typ, const ComplexMatrix& b, | |
| 7788 | 2287 octave_idx_type& info, double& rcon) const |
| 5785 | 2288 { |
| 7788 | 2289 return solve (typ, b, info, rcon, 0); |
| 5785 | 2290 } |
| 2291 | |
| 2292 ComplexMatrix | |
| 2293 ComplexMatrix::solve (MatrixType &mattype, const ComplexMatrix& b, | |
| 7788 | 2294 octave_idx_type& info, double& rcon, |
| 5785 | 2295 solve_singularity_handler sing_handler, |
|
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diff
changeset
|
2296 bool singular_fallback, blas_trans_type transt) const |
| 5785 | 2297 { |
| 2298 ComplexMatrix retval; | |
| 2299 int typ = mattype.type (); | |
| 2300 | |
| 2301 if (typ == MatrixType::Unknown) | |
| 2302 typ = mattype.type (*this); | |
| 2303 | |
| 2304 // Only calculate the condition number for LU/Cholesky | |
| 2305 if (typ == MatrixType::Upper || typ == MatrixType::Permuted_Upper) | |
|
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diff
changeset
|
2306 retval = utsolve (mattype, b, info, rcon, sing_handler, false, transt); |
| 5785 | 2307 else if (typ == MatrixType::Lower || typ == MatrixType::Permuted_Lower) |
|
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diff
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|
2308 retval = ltsolve (mattype, b, info, rcon, sing_handler, false, transt); |
|
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diff
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|
2309 else if (transt == blas_trans) |
|
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diff
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|
2310 return transpose ().solve (mattype, b, info, rcon, sing_handler, singular_fallback); |
|
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diff
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|
2311 else if (transt == blas_conj_trans) |
|
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diff
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|
2312 retval = hermitian ().solve (mattype, b, info, rcon, sing_handler, singular_fallback); |
| 5785 | 2313 else if (typ == MatrixType::Full || typ == MatrixType::Hermitian) |
| 7788 | 2314 retval = fsolve (mattype, b, info, rcon, sing_handler, true); |
| 5785 | 2315 else if (typ != MatrixType::Rectangular) |
| 2316 { | |
| 2317 (*current_liboctave_error_handler) ("unknown matrix type"); | |
| 2318 return ComplexMatrix (); | |
| 2319 } | |
| 2320 | |
| 2321 // Rectangular or one of the above solvers flags a singular matrix | |
| 2322 if (singular_fallback && mattype.type () == MatrixType::Rectangular) | |
| 2323 { | |
| 2324 octave_idx_type rank; | |
| 7788 | 2325 retval = lssolve (b, info, rank, rcon); |
| 5785 | 2326 } |
| 2327 | |
| 2328 return retval; | |
| 2329 } | |
| 2330 | |
| 2331 ComplexColumnVector | |
| 2332 ComplexMatrix::solve (MatrixType &typ, const ColumnVector& b) const | |
| 2333 { | |
| 2334 octave_idx_type info; | |
| 7788 | 2335 double rcon; |
| 2336 return solve (typ, ComplexColumnVector (b), info, rcon, 0); | |
| 5785 | 2337 } |
| 2338 | |
| 2339 ComplexColumnVector | |
| 2340 ComplexMatrix::solve (MatrixType &typ, const ColumnVector& b, | |
| 2341 octave_idx_type& info) const | |
| 2342 { | |
| 7788 | 2343 double rcon; |
| 2344 return solve (typ, ComplexColumnVector (b), info, rcon, 0); | |
| 5785 | 2345 } |
| 2346 | |
| 2347 ComplexColumnVector | |
| 2348 ComplexMatrix::solve (MatrixType &typ, const ColumnVector& b, | |
| 7788 | 2349 octave_idx_type& info, double& rcon) const |
| 5785 | 2350 { |
| 7788 | 2351 return solve (typ, ComplexColumnVector (b), info, rcon, 0); |
| 5785 | 2352 } |
| 2353 | |
| 2354 ComplexColumnVector | |
| 2355 ComplexMatrix::solve (MatrixType &typ, const ColumnVector& b, | |
| 7788 | 2356 octave_idx_type& info, double& rcon, |
|
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diff
changeset
|
2357 solve_singularity_handler sing_handler, blas_trans_type transt) const |
| 5785 | 2358 { |
|
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diff
changeset
|
2359 return solve (typ, ComplexColumnVector (b), info, rcon, sing_handler, transt); |
| 5785 | 2360 } |
| 2361 | |
| 2362 ComplexColumnVector | |
| 2363 ComplexMatrix::solve (MatrixType &typ, const ComplexColumnVector& b) const | |
| 2364 { | |
| 2365 octave_idx_type info; | |
| 7788 | 2366 double rcon; |
| 2367 return solve (typ, b, info, rcon, 0); | |
| 5785 | 2368 } |
| 2369 | |
| 2370 ComplexColumnVector | |
| 2371 ComplexMatrix::solve (MatrixType &typ, const ComplexColumnVector& b, | |
| 2372 octave_idx_type& info) const | |
| 2373 { | |
| 7788 | 2374 double rcon; |
| 2375 return solve (typ, b, info, rcon, 0); | |
| 5785 | 2376 } |
| 2377 | |
| 2378 ComplexColumnVector | |
| 2379 ComplexMatrix::solve (MatrixType &typ, const ComplexColumnVector& b, | |
| 7788 | 2380 octave_idx_type& info, double& rcon) const |
| 5785 | 2381 { |
| 7788 | 2382 return solve (typ, b, info, rcon, 0); |
| 5785 | 2383 } |
| 2384 | |
| 2385 ComplexColumnVector | |
| 2386 ComplexMatrix::solve (MatrixType &typ, const ComplexColumnVector& b, | |
| 7788 | 2387 octave_idx_type& info, double& rcon, |
|
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diff
changeset
|
2388 solve_singularity_handler sing_handler, blas_trans_type transt) const |
| 5785 | 2389 { |
| 2390 | |
| 2391 ComplexMatrix tmp (b); | |
|
9661
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diff
changeset
|
2392 return solve (typ, tmp, info, rcon, sing_handler, transt).column(static_cast<octave_idx_type> (0)); |
| 5785 | 2393 } |
| 2394 | |
| 2395 ComplexMatrix | |
| 458 | 2396 ComplexMatrix::solve (const Matrix& b) const |
| 2397 { | |
| 5275 | 2398 octave_idx_type info; |
| 7788 | 2399 double rcon; |
| 2400 return solve (b, info, rcon, 0); | |
| 458 | 2401 } |
| 2402 | |
| 2403 ComplexMatrix | |
| 5275 | 2404 ComplexMatrix::solve (const Matrix& b, octave_idx_type& info) const |
| 458 | 2405 { |
| 7788 | 2406 double rcon; |
| 2407 return solve (b, info, rcon, 0); | |
| 458 | 2408 } |
| 2409 | |
| 2410 ComplexMatrix | |
| 7788 | 2411 ComplexMatrix::solve (const Matrix& b, octave_idx_type& info, double& rcon) const |
| 458 | 2412 { |
| 7788 | 2413 return solve (b, info, rcon, 0); |
| 3480 | 2414 } |
| 2415 | |
| 2416 ComplexMatrix | |
| 7788 | 2417 ComplexMatrix::solve (const Matrix& b, octave_idx_type& info, double& rcon, |
|
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changeset
|
2418 solve_singularity_handler sing_handler, blas_trans_type transt) const |
| 3480 | 2419 { |
| 458 | 2420 ComplexMatrix tmp (b); |
|
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|
2421 return solve (tmp, info, rcon, sing_handler, transt); |
| 458 | 2422 } |
| 2423 | |
| 2424 ComplexMatrix | |
| 2425 ComplexMatrix::solve (const ComplexMatrix& b) const | |
| 2426 { | |
| 5275 | 2427 octave_idx_type info; |
| 7788 | 2428 double rcon; |
| 2429 return solve (b, info, rcon, 0); | |
| 458 | 2430 } |
| 2431 | |
| 2432 ComplexMatrix | |
| 5275 | 2433 ComplexMatrix::solve (const ComplexMatrix& b, octave_idx_type& info) const |
| 458 | 2434 { |
| 7788 | 2435 double rcon; |
| 2436 return solve (b, info, rcon, 0); | |
| 458 | 2437 } |
| 3480 | 2438 |
| 458 | 2439 ComplexMatrix |
| 7788 | 2440 ComplexMatrix::solve (const ComplexMatrix& b, octave_idx_type& info, double& rcon) const |
| 458 | 2441 { |
| 7788 | 2442 return solve (b, info, rcon, 0); |
| 3480 | 2443 } |
| 2444 | |
| 2445 ComplexMatrix | |
| 7788 | 2446 ComplexMatrix::solve (const ComplexMatrix& b, octave_idx_type& info, double& rcon, |
|
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|
2447 solve_singularity_handler sing_handler, blas_trans_type transt) const |
| 3480 | 2448 { |
| 5785 | 2449 MatrixType mattype (*this); |
|
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changeset
|
2450 return solve (mattype, b, info, rcon, sing_handler, true, transt); |
| 458 | 2451 } |
| 2452 | |
| 2453 ComplexColumnVector | |
| 3585 | 2454 ComplexMatrix::solve (const ColumnVector& b) const |
| 2455 { | |
| 5275 | 2456 octave_idx_type info; |
| 7788 | 2457 double rcon; |
| 2458 return solve (ComplexColumnVector (b), info, rcon, 0); | |
| 3585 | 2459 } |
| 2460 | |
| 2461 ComplexColumnVector | |
| 5275 | 2462 ComplexMatrix::solve (const ColumnVector& b, octave_idx_type& info) const |
| 3585 | 2463 { |
| 7788 | 2464 double rcon; |
| 2465 return solve (ComplexColumnVector (b), info, rcon, 0); | |
| 3585 | 2466 } |
| 2467 | |
| 2468 ComplexColumnVector | |
| 5785 | 2469 ComplexMatrix::solve (const ColumnVector& b, octave_idx_type& info, |
| 7788 | 2470 double& rcon) const |
| 3585 | 2471 { |
| 7788 | 2472 return solve (ComplexColumnVector (b), info, rcon, 0); |
| 3585 | 2473 } |
| 2474 | |
| 2475 ComplexColumnVector | |
| 5785 | 2476 ComplexMatrix::solve (const ColumnVector& b, octave_idx_type& info, |
| 7788 | 2477 double& rcon, |
|
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changeset
|
2478 solve_singularity_handler sing_handler, blas_trans_type transt) const |
| 3585 | 2479 { |
|
9661
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changeset
|
2480 return solve (ComplexColumnVector (b), info, rcon, sing_handler, transt); |
| 3585 | 2481 } |
| 2482 | |
| 2483 ComplexColumnVector | |
| 458 | 2484 ComplexMatrix::solve (const ComplexColumnVector& b) const |
| 2485 { | |
| 5275 | 2486 octave_idx_type info; |
| 7788 | 2487 double rcon; |
| 2488 return solve (b, info, rcon, 0); | |
| 458 | 2489 } |
| 2490 | |
| 2491 ComplexColumnVector | |
| 5275 | 2492 ComplexMatrix::solve (const ComplexColumnVector& b, octave_idx_type& info) const |
| 458 | 2493 { |
| 7788 | 2494 double rcon; |
| 2495 return solve (b, info, rcon, 0); | |
| 458 | 2496 } |
| 2497 | |
| 2498 ComplexColumnVector | |
| 5275 | 2499 ComplexMatrix::solve (const ComplexColumnVector& b, octave_idx_type& info, |
| 7788 | 2500 double& rcon) const |
| 458 | 2501 { |
| 7788 | 2502 return solve (b, info, rcon, 0); |
| 3480 | 2503 } |
| 2504 | |
| 2505 ComplexColumnVector | |
| 5275 | 2506 ComplexMatrix::solve (const ComplexColumnVector& b, octave_idx_type& info, |
| 7788 | 2507 double& rcon, |
|
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changeset
|
2508 solve_singularity_handler sing_handler, blas_trans_type transt) const |
| 3480 | 2509 { |
| 5785 | 2510 MatrixType mattype (*this); |
|
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|
2511 return solve (mattype, b, info, rcon, sing_handler, transt); |
| 458 | 2512 } |
| 2513 | |
| 2514 ComplexMatrix | |
| 3585 | 2515 ComplexMatrix::lssolve (const Matrix& b) const |
| 2516 { | |
| 5275 | 2517 octave_idx_type info; |
| 2518 octave_idx_type rank; | |
| 7788 | 2519 double rcon; |
| 2520 return lssolve (ComplexMatrix (b), info, rank, rcon); | |
| 3585 | 2521 } |
| 2522 | |
| 2523 ComplexMatrix | |
| 5275 | 2524 ComplexMatrix::lssolve (const Matrix& b, octave_idx_type& info) const |
| 3585 | 2525 { |
| 5275 | 2526 octave_idx_type rank; |
| 7788 | 2527 double rcon; |
| 2528 return lssolve (ComplexMatrix (b), info, rank, rcon); | |
| 3585 | 2529 } |
| 2530 | |
| 2531 ComplexMatrix | |
| 7076 | 2532 ComplexMatrix::lssolve (const Matrix& b, octave_idx_type& info, |
| 2533 octave_idx_type& rank) const | |
| 3585 | 2534 { |
| 7788 | 2535 double rcon; |
| 2536 return lssolve (ComplexMatrix (b), info, rank, rcon); | |
| 7076 | 2537 } |
| 2538 | |
| 2539 ComplexMatrix | |
| 2540 ComplexMatrix::lssolve (const Matrix& b, octave_idx_type& info, | |
| 7788 | 2541 octave_idx_type& rank, double& rcon) const |
| 7076 | 2542 { |
| 7788 | 2543 return lssolve (ComplexMatrix (b), info, rank, rcon); |
| 3585 | 2544 } |
| 2545 | |
| 2546 ComplexMatrix | |
| 458 | 2547 ComplexMatrix::lssolve (const ComplexMatrix& b) const |
| 2548 { | |
| 5275 | 2549 octave_idx_type info; |
| 2550 octave_idx_type rank; | |
| 7788 | 2551 double rcon; |
| 2552 return lssolve (b, info, rank, rcon); | |
| 458 | 2553 } |
| 2554 | |
| 2555 ComplexMatrix | |
| 5275 | 2556 ComplexMatrix::lssolve (const ComplexMatrix& b, octave_idx_type& info) const |
| 458 | 2557 { |
| 5275 | 2558 octave_idx_type rank; |
| 7788 | 2559 double rcon; |
| 2560 return lssolve (b, info, rank, rcon); | |
| 458 | 2561 } |
| 2562 | |
| 2563 ComplexMatrix | |
| 7076 | 2564 ComplexMatrix::lssolve (const ComplexMatrix& b, octave_idx_type& info, |
| 2565 octave_idx_type& rank) const | |
| 2566 { | |
| 7788 | 2567 double rcon; |
| 2568 return lssolve (b, info, rank, rcon); | |
| 7076 | 2569 } |
| 2570 | |
| 2571 ComplexMatrix | |
| 2572 ComplexMatrix::lssolve (const ComplexMatrix& b, octave_idx_type& info, | |
| 7788 | 2573 octave_idx_type& rank, double& rcon) const |
| 458 | 2574 { |
| 1948 | 2575 ComplexMatrix retval; |
| 2576 | |
| 5275 | 2577 octave_idx_type nrhs = b.cols (); |
| 2578 | |
| 2579 octave_idx_type m = rows (); | |
| 2580 octave_idx_type n = cols (); | |
| 458 | 2581 |
| 6924 | 2582 if (m != b.rows ()) |
| 1948 | 2583 (*current_liboctave_error_handler) |
| 2584 ("matrix dimension mismatch solution of linear equations"); | |
| 6924 | 2585 else if (m== 0 || n == 0 || b.cols () == 0) |
| 2586 retval = ComplexMatrix (n, b.cols (), Complex (0.0, 0.0)); | |
| 1948 | 2587 else |
| 458 | 2588 { |
| 7072 | 2589 volatile octave_idx_type minmn = (m < n ? m : n); |
| 2590 octave_idx_type maxmn = m > n ? m : n; | |
| 7788 | 2591 rcon = -1.0; |
| 7072 | 2592 |
| 2593 if (m != n) | |
| 2594 { | |
| 2595 retval = ComplexMatrix (maxmn, nrhs); | |
| 2596 | |
| 2597 for (octave_idx_type j = 0; j < nrhs; j++) | |
| 2598 for (octave_idx_type i = 0; i < m; i++) | |
| 2599 retval.elem (i, j) = b.elem (i, j); | |
| 2600 } | |
| 2601 else | |
| 2602 retval = b; | |
| 2603 | |
| 1948 | 2604 ComplexMatrix atmp = *this; |
| 2605 Complex *tmp_data = atmp.fortran_vec (); | |
| 2606 | |
| 7072 | 2607 Complex *pretval = retval.fortran_vec (); |
| 2608 Array<double> s (minmn); | |
| 7071 | 2609 double *ps = s.fortran_vec (); |
| 2563 | 2610 |
| 7072 | 2611 // Ask ZGELSD what the dimension of WORK should be. |
| 5275 | 2612 octave_idx_type lwork = -1; |
| 3752 | 2613 |
| 2614 Array<Complex> work (1); | |
| 7079 | 2615 |
| 7477 | 2616 octave_idx_type smlsiz; |
| 2617 F77_FUNC (xilaenv, XILAENV) (9, F77_CONST_CHAR_ARG2 ("ZGELSD", 6), | |
| 2618 F77_CONST_CHAR_ARG2 (" ", 1), | |
| 7478 | 2619 0, 0, 0, 0, smlsiz |
| 7477 | 2620 F77_CHAR_ARG_LEN (6) |
| 7478 | 2621 F77_CHAR_ARG_LEN (1)); |
| 7079 | 2622 |
|
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2623 octave_idx_type mnthr; |
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2624 F77_FUNC (xilaenv, XILAENV) (6, F77_CONST_CHAR_ARG2 ("ZGELSD", 6), |
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2625 F77_CONST_CHAR_ARG2 (" ", 1), |
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|
2626 m, n, nrhs, -1, mnthr |
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2627 F77_CHAR_ARG_LEN (6) |
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|
2628 F77_CHAR_ARG_LEN (1)); |
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|
2629 |
| 7079 | 2630 // We compute the size of rwork and iwork because ZGELSD in |
| 2631 // older versions of LAPACK does not return them on a query | |
| 2632 // call. | |
| 7124 | 2633 double dminmn = static_cast<double> (minmn); |
| 2634 double dsmlsizp1 = static_cast<double> (smlsiz+1); | |
| 7079 | 2635 #if defined (HAVE_LOG2) |
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2636 double tmp = log2 (dminmn / dsmlsizp1); |
| 7079 | 2637 #else |
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2638 double tmp = log (dminmn / dsmlsizp1) / log (2.0); |
| 7079 | 2639 #endif |
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|
2640 octave_idx_type nlvl = static_cast<octave_idx_type> (tmp) + 1; |
| 7079 | 2641 if (nlvl < 0) |
| 2642 nlvl = 0; | |
| 2643 | |
| 2644 octave_idx_type lrwork = minmn*(10 + 2*smlsiz + 8*nlvl) | |
| 2645 + 3*smlsiz*nrhs + (smlsiz+1)*(smlsiz+1); | |
| 2646 if (lrwork < 1) | |
| 2647 lrwork = 1; | |
| 2648 Array<double> rwork (lrwork); | |
| 2649 double *prwork = rwork.fortran_vec (); | |
| 2650 | |
| 2651 octave_idx_type liwork = 3 * minmn * nlvl + 11 * minmn; | |
| 2652 if (liwork < 1) | |
| 2653 liwork = 1; | |
| 2654 Array<octave_idx_type> iwork (liwork); | |
| 2655 octave_idx_type* piwork = iwork.fortran_vec (); | |
| 7072 | 2656 |
| 2657 F77_XFCN (zgelsd, ZGELSD, (m, n, nrhs, tmp_data, m, pretval, maxmn, | |
| 7788 | 2658 ps, rcon, rank, work.fortran_vec (), |
| 7079 | 2659 lwork, prwork, piwork, info)); |
| 1948 | 2660 |
| 7476 | 2661 // The workspace query is broken in at least LAPACK 3.0.0 |
|
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|
2662 // through 3.1.1 when n >= mnthr. The obtuse formula below |
|
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|
2663 // should provide sufficient workspace for ZGELSD to operate |
| 7476 | 2664 // efficiently. |
|
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|
2665 if (n >= mnthr) |
| 7476 | 2666 { |
| 2667 octave_idx_type addend = m; | |
| 2668 | |
| 2669 if (2*m-4 > addend) | |
| 2670 addend = 2*m-4; | |
| 2671 | |
| 2672 if (nrhs > addend) | |
| 2673 addend = nrhs; | |
| 2674 | |
| 2675 if (n-3*m > addend) | |
| 2676 addend = n-3*m; | |
| 2677 | |
| 2678 const octave_idx_type lworkaround = 4*m + m*m + addend; | |
| 2679 | |
| 2680 if (std::real (work(0)) < lworkaround) | |
| 2681 work(0) = lworkaround; | |
| 2682 } | |
|
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2683 else if (m >= n) |
|
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|
2684 { |
|
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|
2685 octave_idx_type lworkaround = 2*m + m*nrhs; |
|
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|
2686 |
|
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|
2687 if (std::real (work(0)) < lworkaround) |
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|
2688 work(0) = lworkaround; |
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|
2689 } |
| 7476 | 2690 |
|
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|
2691 lwork = static_cast<octave_idx_type> (std::real (work(0))); |
|
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|
2692 work.resize (lwork); |
|
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|
2693 |
|
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|
2694 F77_XFCN (zgelsd, ZGELSD, (m, n, nrhs, tmp_data, m, pretval, |
| 7788 | 2695 maxmn, ps, rcon, rank, |
|
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|
2696 work.fortran_vec (), lwork, |
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|
2697 prwork, piwork, info)); |
|
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|
2698 |
|
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|
2699 if (rank < minmn) |
|
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|
2700 (*current_liboctave_warning_handler) |
|
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|
2701 ("zgelsd: rank deficient %dx%d matrix, rank = %d, tol = %e", |
| 7788 | 2702 m, n, rank, rcon); |
|
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|
2703 |
|
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|
2704 if (s.elem (0) == 0.0) |
| 7788 | 2705 rcon = 0.0; |
| 1948 | 2706 else |
| 7788 | 2707 rcon = s.elem (minmn - 1) / s.elem (0); |
|
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|
2708 |
|
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|
2709 retval.resize (n, nrhs); |
| 458 | 2710 } |
| 2711 | |
| 2712 return retval; | |
| 2713 } | |
| 2714 | |
| 2715 ComplexColumnVector | |
| 3585 | 2716 ComplexMatrix::lssolve (const ColumnVector& b) const |
| 2717 { | |
| 5275 | 2718 octave_idx_type info; |
| 2719 octave_idx_type rank; | |
| 7788 | 2720 double rcon; |
| 2721 return lssolve (ComplexColumnVector (b), info, rank, rcon); | |
| 3585 | 2722 } |
| 2723 | |
| 2724 ComplexColumnVector | |
| 5275 | 2725 ComplexMatrix::lssolve (const ColumnVector& b, octave_idx_type& info) const |
| 3585 | 2726 { |
| 5275 | 2727 octave_idx_type rank; |
| 7788 | 2728 double rcon; |
| 2729 return lssolve (ComplexColumnVector (b), info, rank, rcon); | |
| 3585 | 2730 } |
| 2731 | |
| 2732 ComplexColumnVector | |
| 7076 | 2733 ComplexMatrix::lssolve (const ColumnVector& b, octave_idx_type& info, |
| 2734 octave_idx_type& rank) const | |
| 3585 | 2735 { |
| 7788 | 2736 double rcon; |
| 2737 return lssolve (ComplexColumnVector (b), info, rank, rcon); | |
| 7076 | 2738 } |
| 2739 | |
| 2740 ComplexColumnVector | |
| 2741 ComplexMatrix::lssolve (const ColumnVector& b, octave_idx_type& info, | |
| 7788 | 2742 octave_idx_type& rank, double& rcon) const |
| 7076 | 2743 { |
| 7788 | 2744 return lssolve (ComplexColumnVector (b), info, rank, rcon); |
| 3585 | 2745 } |
| 2746 | |
| 2747 ComplexColumnVector | |
| 458 | 2748 ComplexMatrix::lssolve (const ComplexColumnVector& b) const |
| 2749 { | |
| 5275 | 2750 octave_idx_type info; |
| 2751 octave_idx_type rank; | |
| 7788 | 2752 double rcon; |
| 2753 return lssolve (b, info, rank, rcon); | |
| 458 | 2754 } |
| 2755 | |
| 2756 ComplexColumnVector | |
| 5275 | 2757 ComplexMatrix::lssolve (const ComplexColumnVector& b, octave_idx_type& info) const |
| 458 | 2758 { |
| 5275 | 2759 octave_idx_type rank; |
| 7788 | 2760 double rcon; |
| 2761 return lssolve (b, info, rank, rcon); | |
| 458 | 2762 } |
| 2763 | |
| 2764 ComplexColumnVector | |
| 5275 | 2765 ComplexMatrix::lssolve (const ComplexColumnVector& b, octave_idx_type& info, |
| 2766 octave_idx_type& rank) const | |
| 458 | 2767 { |
| 7788 | 2768 double rcon; |
| 2769 return lssolve (b, info, rank, rcon); | |
| 7076 | 2770 |
| 2771 } | |
| 2772 | |
| 2773 ComplexColumnVector | |
| 2774 ComplexMatrix::lssolve (const ComplexColumnVector& b, octave_idx_type& info, | |
| 7788 | 2775 octave_idx_type& rank, double& rcon) const |
| 7076 | 2776 { |
| 1948 | 2777 ComplexColumnVector retval; |
| 2778 | |
| 5275 | 2779 octave_idx_type nrhs = 1; |
| 2780 | |
| 2781 octave_idx_type m = rows (); | |
| 2782 octave_idx_type n = cols (); | |
| 458 | 2783 |
| 6924 | 2784 if (m != b.length ()) |
| 1948 | 2785 (*current_liboctave_error_handler) |
| 6924 | 2786 ("matrix dimension mismatch solution of linear equations"); |
| 2787 else if (m == 0 || n == 0 || b.cols () == 0) | |
| 2788 retval = ComplexColumnVector (n, Complex (0.0, 0.0)); | |
| 1948 | 2789 else |
| 458 | 2790 { |
| 7072 | 2791 volatile octave_idx_type minmn = (m < n ? m : n); |
| 2792 octave_idx_type maxmn = m > n ? m : n; | |
| 7788 | 2793 rcon = -1.0; |
| 7072 | 2794 |
| 2795 if (m != n) | |
| 2796 { | |
| 2797 retval = ComplexColumnVector (maxmn); | |
| 2798 | |
| 2799 for (octave_idx_type i = 0; i < m; i++) | |
| 2800 retval.elem (i) = b.elem (i); | |
| 2801 } | |
| 2802 else | |
| 2803 retval = b; | |
| 2804 | |
| 1948 | 2805 ComplexMatrix atmp = *this; |
| 2806 Complex *tmp_data = atmp.fortran_vec (); | |
| 2807 | |
| 7072 | 2808 Complex *pretval = retval.fortran_vec (); |
| 2809 Array<double> s (minmn); | |
| 7071 | 2810 double *ps = s.fortran_vec (); |
| 1948 | 2811 |
| 7072 | 2812 // Ask ZGELSD what the dimension of WORK should be. |
| 5275 | 2813 octave_idx_type lwork = -1; |
| 3752 | 2814 |
| 2815 Array<Complex> work (1); | |
| 7079 | 2816 |
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2817 octave_idx_type smlsiz; |
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2818 F77_FUNC (xilaenv, XILAENV) (9, F77_CONST_CHAR_ARG2 ("ZGELSD", 6), |
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2819 F77_CONST_CHAR_ARG2 (" ", 1), |
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2820 0, 0, 0, 0, smlsiz |
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|
2821 F77_CHAR_ARG_LEN (6) |
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2822 F77_CHAR_ARG_LEN (1)); |
| 7079 | 2823 |
| 2824 // We compute the size of rwork and iwork because ZGELSD in | |
| 2825 // older versions of LAPACK does not return them on a query | |
| 2826 // call. | |
| 7124 | 2827 double dminmn = static_cast<double> (minmn); |
| 2828 double dsmlsizp1 = static_cast<double> (smlsiz+1); | |
| 7079 | 2829 #if defined (HAVE_LOG2) |
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2830 double tmp = log2 (dminmn / dsmlsizp1); |
| 7079 | 2831 #else |
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2832 double tmp = log (dminmn / dsmlsizp1) / log (2.0); |
| 7079 | 2833 #endif |
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2834 octave_idx_type nlvl = static_cast<octave_idx_type> (tmp) + 1; |
| 7079 | 2835 if (nlvl < 0) |
| 2836 nlvl = 0; | |
| 2837 | |
| 2838 octave_idx_type lrwork = minmn*(10 + 2*smlsiz + 8*nlvl) | |
| 2839 + 3*smlsiz*nrhs + (smlsiz+1)*(smlsiz+1); | |
| 2840 if (lrwork < 1) | |
| 2841 lrwork = 1; | |
| 2842 Array<double> rwork (lrwork); | |
| 2843 double *prwork = rwork.fortran_vec (); | |
| 2844 | |
| 2845 octave_idx_type liwork = 3 * minmn * nlvl + 11 * minmn; | |
| 2846 if (liwork < 1) | |
| 2847 liwork = 1; | |
| 2848 Array<octave_idx_type> iwork (liwork); | |
| 2849 octave_idx_type* piwork = iwork.fortran_vec (); | |
| 7072 | 2850 |
| 2851 F77_XFCN (zgelsd, ZGELSD, (m, n, nrhs, tmp_data, m, pretval, maxmn, | |
| 7788 | 2852 ps, rcon, rank, work.fortran_vec (), |
| 7079 | 2853 lwork, prwork, piwork, info)); |
| 1948 | 2854 |
|
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|
2855 lwork = static_cast<octave_idx_type> (std::real (work(0))); |
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|
2856 work.resize (lwork); |
|
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7478
diff
changeset
|
2857 rwork.resize (static_cast<octave_idx_type> (rwork(0))); |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2858 iwork.resize (iwork(0)); |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2859 |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2860 F77_XFCN (zgelsd, ZGELSD, (m, n, nrhs, tmp_data, m, pretval, |
| 7788 | 2861 maxmn, ps, rcon, rank, |
|
7482
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2862 work.fortran_vec (), lwork, |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2863 prwork, piwork, info)); |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2864 |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2865 if (rank < minmn) |
| 1948 | 2866 { |
|
7482
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2867 if (rank < minmn) |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2868 (*current_liboctave_warning_handler) |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2869 ("zgelsd: rank deficient %dx%d matrix, rank = %d, tol = %e", |
| 7788 | 2870 m, n, rank, rcon); |
|
7482
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2871 |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2872 if (s.elem (0) == 0.0) |
| 7788 | 2873 rcon = 0.0; |
|
7482
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2874 else |
| 7788 | 2875 rcon = s.elem (minmn - 1) / s.elem (0); |
|
7482
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2876 |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2877 retval.resize (n, nrhs); |
| 1948 | 2878 } |
| 458 | 2879 } |
| 2880 | |
| 2881 return retval; | |
| 2882 } | |
| 2883 | |
| 1205 | 2884 // column vector by row vector -> matrix operations |
| 2885 | |
| 2886 ComplexMatrix | |
| 2887 operator * (const ColumnVector& v, const ComplexRowVector& a) | |
| 2888 { | |
| 2889 ComplexColumnVector tmp (v); | |
| 2890 return tmp * a; | |
| 2891 } | |
| 2892 | |
| 2893 ComplexMatrix | |
| 2894 operator * (const ComplexColumnVector& a, const RowVector& b) | |
| 2895 { | |
| 2896 ComplexRowVector tmp (b); | |
| 2897 return a * tmp; | |
| 2898 } | |
| 2899 | |
| 2900 ComplexMatrix | |
| 2901 operator * (const ComplexColumnVector& v, const ComplexRowVector& a) | |
| 2902 { | |
| 1948 | 2903 ComplexMatrix retval; |
| 2904 | |
| 5275 | 2905 octave_idx_type len = v.length (); |
| 3233 | 2906 |
| 2907 if (len != 0) | |
| 1205 | 2908 { |
| 5275 | 2909 octave_idx_type a_len = a.length (); |
| 3233 | 2910 |
|
9359
be6867ba8104
avoid useless zero initialization when doing matrix multiply
Jaroslav Hajek <highegg@gmail.com>
parents:
9227
diff
changeset
|
2911 retval = ComplexMatrix (len, a_len); |
| 3233 | 2912 Complex *c = retval.fortran_vec (); |
| 2913 | |
| 4552 | 2914 F77_XFCN (zgemm, ZGEMM, (F77_CONST_CHAR_ARG2 ("N", 1), |
| 2915 F77_CONST_CHAR_ARG2 ("N", 1), | |
| 2916 len, a_len, 1, 1.0, v.data (), len, | |
| 2917 a.data (), 1, 0.0, c, len | |
| 2918 F77_CHAR_ARG_LEN (1) | |
| 2919 F77_CHAR_ARG_LEN (1))); | |
| 1205 | 2920 } |
| 2921 | |
| 1948 | 2922 return retval; |
| 1205 | 2923 } |
| 2924 | |
| 458 | 2925 // matrix by diagonal matrix -> matrix operations |
| 2926 | |
| 2927 ComplexMatrix& | |
| 2928 ComplexMatrix::operator += (const DiagMatrix& a) | |
| 2929 { | |
| 5275 | 2930 octave_idx_type nr = rows (); |
| 2931 octave_idx_type nc = cols (); | |
| 2932 | |
| 2933 octave_idx_type a_nr = rows (); | |
| 2934 octave_idx_type a_nc = cols (); | |
| 2384 | 2935 |
| 2936 if (nr != a_nr || nc != a_nc) | |
| 458 | 2937 { |
| 2384 | 2938 gripe_nonconformant ("operator +=", nr, nc, a_nr, a_nc); |
| 889 | 2939 return *this; |
| 458 | 2940 } |
| 2941 | |
| 5275 | 2942 for (octave_idx_type i = 0; i < a.length (); i++) |
| 458 | 2943 elem (i, i) += a.elem (i, i); |
| 2944 | |
| 2945 return *this; | |
| 2946 } | |
| 2947 | |
| 2948 ComplexMatrix& | |
| 2949 ComplexMatrix::operator -= (const DiagMatrix& a) | |
| 2950 { | |
| 5275 | 2951 octave_idx_type nr = rows (); |
| 2952 octave_idx_type nc = cols (); | |
| 2953 | |
| 2954 octave_idx_type a_nr = rows (); | |
| 2955 octave_idx_type a_nc = cols (); | |
| 2384 | 2956 |
| 2957 if (nr != a_nr || nc != a_nc) | |
| 458 | 2958 { |
| 2384 | 2959 gripe_nonconformant ("operator -=", nr, nc, a_nr, a_nc); |
| 889 | 2960 return *this; |
| 458 | 2961 } |
| 2962 | |
| 5275 | 2963 for (octave_idx_type i = 0; i < a.length (); i++) |
| 458 | 2964 elem (i, i) -= a.elem (i, i); |
| 2965 | |
| 2966 return *this; | |
| 2967 } | |
| 2968 | |
| 2969 ComplexMatrix& | |
| 2970 ComplexMatrix::operator += (const ComplexDiagMatrix& a) | |
| 2971 { | |
| 5275 | 2972 octave_idx_type nr = rows (); |
| 2973 octave_idx_type nc = cols (); | |
| 2974 | |
| 2975 octave_idx_type a_nr = rows (); | |
| 2976 octave_idx_type a_nc = cols (); | |
| 2384 | 2977 |
| 2978 if (nr != a_nr || nc != a_nc) | |
| 458 | 2979 { |
| 2384 | 2980 gripe_nonconformant ("operator +=", nr, nc, a_nr, a_nc); |
| 889 | 2981 return *this; |
| 458 | 2982 } |
| 2983 | |
| 5275 | 2984 for (octave_idx_type i = 0; i < a.length (); i++) |
| 458 | 2985 elem (i, i) += a.elem (i, i); |
| 2986 | |
| 2987 return *this; | |
| 2988 } | |
| 2989 | |
| 2990 ComplexMatrix& | |
| 2991 ComplexMatrix::operator -= (const ComplexDiagMatrix& a) | |
| 2992 { | |
| 5275 | 2993 octave_idx_type nr = rows (); |
| 2994 octave_idx_type nc = cols (); | |
| 2995 | |
| 2996 octave_idx_type a_nr = rows (); | |
| 2997 octave_idx_type a_nc = cols (); | |
| 2384 | 2998 |
| 2999 if (nr != a_nr || nc != a_nc) | |
| 458 | 3000 { |
| 2384 | 3001 gripe_nonconformant ("operator -=", nr, nc, a_nr, a_nc); |
| 889 | 3002 return *this; |
| 458 | 3003 } |
| 3004 | |
| 5275 | 3005 for (octave_idx_type i = 0; i < a.length (); i++) |
| 458 | 3006 elem (i, i) -= a.elem (i, i); |
| 3007 | |
| 3008 return *this; | |
| 3009 } | |
| 3010 | |
| 3011 // matrix by matrix -> matrix operations | |
| 3012 | |
| 3013 ComplexMatrix& | |
| 3014 ComplexMatrix::operator += (const Matrix& a) | |
| 3015 { | |
| 5275 | 3016 octave_idx_type nr = rows (); |
| 3017 octave_idx_type nc = cols (); | |
| 3018 | |
| 3019 octave_idx_type a_nr = a.rows (); | |
| 3020 octave_idx_type a_nc = a.cols (); | |
| 2384 | 3021 |
| 3022 if (nr != a_nr || nc != a_nc) | |
| 458 | 3023 { |
| 2384 | 3024 gripe_nonconformant ("operator +=", nr, nc, a_nr, a_nc); |
| 458 | 3025 return *this; |
| 3026 } | |
| 3027 | |
| 3028 if (nr == 0 || nc == 0) | |
| 3029 return *this; | |
| 3030 | |
| 3031 Complex *d = fortran_vec (); // Ensures only one reference to my privates! | |
| 3032 | |
|
9550
3d6a9aea2aea
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Jaroslav Hajek <highegg@gmail.com>
parents:
9528
diff
changeset
|
3033 mx_inline_add2 (length (), d, a.data ()); |
| 458 | 3034 return *this; |
| 3035 } | |
| 3036 | |
| 3037 ComplexMatrix& | |
| 3038 ComplexMatrix::operator -= (const Matrix& a) | |
| 3039 { | |
| 5275 | 3040 octave_idx_type nr = rows (); |
| 3041 octave_idx_type nc = cols (); | |
| 3042 | |
| 3043 octave_idx_type a_nr = a.rows (); | |
| 3044 octave_idx_type a_nc = a.cols (); | |
| 2384 | 3045 |
| 3046 if (nr != a_nr || nc != a_nc) | |
| 458 | 3047 { |
| 2384 | 3048 gripe_nonconformant ("operator -=", nr, nc, a_nr, a_nc); |
| 458 | 3049 return *this; |
| 3050 } | |
| 3051 | |
| 3052 if (nr == 0 || nc == 0) | |
| 3053 return *this; | |
| 3054 | |
| 3055 Complex *d = fortran_vec (); // Ensures only one reference to my privates! | |
| 3056 | |
|
9550
3d6a9aea2aea
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Jaroslav Hajek <highegg@gmail.com>
parents:
9528
diff
changeset
|
3057 mx_inline_sub2 (length (), d, a.data ()); |
| 458 | 3058 return *this; |
| 3059 } | |
| 3060 | |
| 3061 // unary operations | |
| 3062 | |
| 2964 | 3063 boolMatrix |
| 458 | 3064 ComplexMatrix::operator ! (void) const |
| 3065 { | |
|
9553
0c72d9284087
further bool ops tweaks
Jaroslav Hajek <highegg@gmail.com>
parents:
9551
diff
changeset
|
3066 return do_mx_unary_op<boolMatrix, ComplexMatrix> (*this, mx_inline_not); |
| 458 | 3067 } |
| 3068 | |
| 3069 // other operations | |
| 3070 | |
| 2676 | 3071 Matrix |
|
7503
8c32f95c2639
convert mapper functions to new format
David Bateman <dbateman@free.fr>
parents:
7488
diff
changeset
|
3072 ComplexMatrix::map (dmapper fcn) const |
| 458 | 3073 { |
|
7503
8c32f95c2639
convert mapper functions to new format
David Bateman <dbateman@free.fr>
parents:
7488
diff
changeset
|
3074 return MArray2<Complex>::map<double> (func_ptr (fcn)); |
|
8c32f95c2639
convert mapper functions to new format
David Bateman <dbateman@free.fr>
parents:
7488
diff
changeset
|
3075 } |
|
8c32f95c2639
convert mapper functions to new format
David Bateman <dbateman@free.fr>
parents:
7488
diff
changeset
|
3076 |
|
8c32f95c2639
convert mapper functions to new format
David Bateman <dbateman@free.fr>
parents:
7488
diff
changeset
|
3077 ComplexMatrix |
|
8c32f95c2639
convert mapper functions to new format
David Bateman <dbateman@free.fr>
parents:
7488
diff
changeset
|
3078 ComplexMatrix::map (cmapper fcn) const |
|
8c32f95c2639
convert mapper functions to new format
David Bateman <dbateman@free.fr>
parents:
7488
diff
changeset
|
3079 { |
|
8c32f95c2639
convert mapper functions to new format
David Bateman <dbateman@free.fr>
parents:
7488
diff
changeset
|
3080 return MArray2<Complex>::map<Complex> (func_ptr (fcn)); |
| 3248 | 3081 } |
| 3082 | |
| 3083 boolMatrix | |
|
7503
8c32f95c2639
convert mapper functions to new format
David Bateman <dbateman@free.fr>
parents:
7488
diff
changeset
|
3084 ComplexMatrix::map (bmapper fcn) const |
| 3248 | 3085 { |
|
7503
8c32f95c2639
convert mapper functions to new format
David Bateman <dbateman@free.fr>
parents:
7488
diff
changeset
|
3086 return MArray2<Complex>::map<bool> (func_ptr (fcn)); |
| 458 | 3087 } |
| 3088 | |
| 2384 | 3089 bool |
|
7922
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3090 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
|
3091 { |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3092 octave_idx_type nr = rows (); |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3093 octave_idx_type nc = cols (); |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3094 |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3095 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
|
3096 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
|
3097 { |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3098 Complex val = elem (i, j); |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3099 if (xisnan (val)) |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3100 return true; |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3101 } |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3102 |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3103 return false; |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
3104 } |
|
935be827eaf8
error for NaN values in & and | expressions
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parents:
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diff
changeset
|
3105 |
|
935be827eaf8
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parents:
7803
diff
changeset
|
3106 bool |
| 2384 | 3107 ComplexMatrix::any_element_is_inf_or_nan (void) const |
| 3108 { | |
| 5275 | 3109 octave_idx_type nr = rows (); |
| 3110 octave_idx_type nc = cols (); | |
| 3111 | |
| 3112 for (octave_idx_type j = 0; j < nc; j++) | |
| 3113 for (octave_idx_type i = 0; i < nr; i++) | |
| 2384 | 3114 { |
| 3115 Complex val = elem (i, j); | |
| 3116 if (xisinf (val) || xisnan (val)) | |
| 3117 return true; | |
| 3118 } | |
| 3119 | |
| 3120 return false; | |
| 3121 } | |
| 3122 | |
| 2408 | 3123 // Return true if no elements have imaginary components. |
| 3124 | |
| 3125 bool | |
| 3126 ComplexMatrix::all_elements_are_real (void) const | |
| 3127 { | |
| 5275 | 3128 octave_idx_type nr = rows (); |
| 3129 octave_idx_type nc = cols (); | |
| 3130 | |
| 3131 for (octave_idx_type j = 0; j < nc; j++) | |
| 4349 | 3132 { |
| 5275 | 3133 for (octave_idx_type i = 0; i < nr; i++) |
| 4349 | 3134 { |
| 5315 | 3135 double ip = std::imag (elem (i, j)); |
| 4349 | 3136 |
| 3137 if (ip != 0.0 || lo_ieee_signbit (ip)) | |
| 3138 return false; | |
| 3139 } | |
| 3140 } | |
| 2408 | 3141 |
| 3142 return true; | |
| 3143 } | |
| 3144 | |
| 1968 | 3145 // Return nonzero if any element of CM has a non-integer real or |
| 3146 // imaginary part. Also extract the largest and smallest (real or | |
| 3147 // imaginary) values and return them in MAX_VAL and MIN_VAL. | |
| 3148 | |
| 2384 | 3149 bool |
| 1968 | 3150 ComplexMatrix::all_integers (double& max_val, double& min_val) const |
| 3151 { | |
| 5275 | 3152 octave_idx_type nr = rows (); |
| 3153 octave_idx_type nc = cols (); | |
| 1968 | 3154 |
| 3155 if (nr > 0 && nc > 0) | |
| 3156 { | |
| 3157 Complex val = elem (0, 0); | |
| 3158 | |
| 5315 | 3159 double r_val = std::real (val); |
| 3160 double i_val = std::imag (val); | |
| 1968 | 3161 |
| 3162 max_val = r_val; | |
| 3163 min_val = r_val; | |
| 3164 | |
| 3165 if (i_val > max_val) | |
| 3166 max_val = i_val; | |
| 3167 | |
| 3168 if (i_val < max_val) | |
| 3169 min_val = i_val; | |
| 3170 } | |
| 3171 else | |
| 2384 | 3172 return false; |
| 1968 | 3173 |
| 5275 | 3174 for (octave_idx_type j = 0; j < nc; j++) |
| 3175 for (octave_idx_type i = 0; i < nr; i++) | |
| 1968 | 3176 { |
| 3177 Complex val = elem (i, j); | |
| 3178 | |
| 5315 | 3179 double r_val = std::real (val); |
| 3180 double i_val = std::imag (val); | |
| 1968 | 3181 |
| 3182 if (r_val > max_val) | |
| 3183 max_val = r_val; | |
| 3184 | |
| 3185 if (i_val > max_val) | |
| 3186 max_val = i_val; | |
| 3187 | |
| 3188 if (r_val < min_val) | |
| 3189 min_val = r_val; | |
| 3190 | |
| 3191 if (i_val < min_val) | |
| 3192 min_val = i_val; | |
| 3193 | |
| 3194 if (D_NINT (r_val) != r_val || D_NINT (i_val) != i_val) | |
| 2384 | 3195 return false; |
| 1968 | 3196 } |
| 2384 | 3197 |
| 3198 return true; | |
| 1968 | 3199 } |
| 3200 | |
| 2384 | 3201 bool |
| 1968 | 3202 ComplexMatrix::too_large_for_float (void) const |
| 3203 { | |
| 5275 | 3204 octave_idx_type nr = rows (); |
| 3205 octave_idx_type nc = cols (); | |
| 3206 | |
| 3207 for (octave_idx_type j = 0; j < nc; j++) | |
| 3208 for (octave_idx_type i = 0; i < nr; i++) | |
| 1968 | 3209 { |
| 3210 Complex val = elem (i, j); | |
| 3211 | |
| 5315 | 3212 double r_val = std::real (val); |
| 3213 double i_val = std::imag (val); | |
| 1968 | 3214 |
| 5389 | 3215 if ((! (xisnan (r_val) || xisinf (r_val)) |
| 5387 | 3216 && fabs (r_val) > FLT_MAX) |
| 5389 | 3217 || (! (xisnan (i_val) || xisinf (i_val)) |
| 5387 | 3218 && fabs (i_val) > FLT_MAX)) |
| 2384 | 3219 return true; |
| 1968 | 3220 } |
| 3221 | |
| 2384 | 3222 return false; |
| 1968 | 3223 } |
| 3224 | |
| 5775 | 3225 // FIXME Do these really belong here? Maybe they should be |
| 4015 | 3226 // in a base class? |
| 3227 | |
| 2832 | 3228 boolMatrix |
| 4015 | 3229 ComplexMatrix::all (int dim) const |
| 458 | 3230 { |
|
9227
8145f2255276
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Jaroslav Hajek <highegg@gmail.com>
parents:
8999
diff
changeset
|
3231 return do_mx_red_op<boolMatrix, Complex> (*this, dim, mx_inline_all); |
| 458 | 3232 } |
| 3233 | |
| 2832 | 3234 boolMatrix |
| 4015 | 3235 ComplexMatrix::any (int dim) const |
| 458 | 3236 { |
|
9227
8145f2255276
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Jaroslav Hajek <highegg@gmail.com>
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8999
diff
changeset
|
3237 return do_mx_red_op<boolMatrix, Complex> (*this, dim, mx_inline_any); |
| 458 | 3238 } |
| 3239 | |
| 3240 ComplexMatrix | |
| 3723 | 3241 ComplexMatrix::cumprod (int dim) const |
| 458 | 3242 { |
|
9227
8145f2255276
use explicit template qualifs to please Intel C++ and MSVC++
Jaroslav Hajek <highegg@gmail.com>
parents:
8999
diff
changeset
|
3243 return do_mx_cum_op<ComplexMatrix, Complex> (*this, dim, mx_inline_cumprod); |
| 458 | 3244 } |
| 3245 | |
| 3246 ComplexMatrix | |
| 3723 | 3247 ComplexMatrix::cumsum (int dim) const |
| 458 | 3248 { |
|
9227
8145f2255276
use explicit template qualifs to please Intel C++ and MSVC++
Jaroslav Hajek <highegg@gmail.com>
parents:
8999
diff
changeset
|
3249 return do_mx_cum_op<ComplexMatrix, Complex> (*this, dim, mx_inline_cumsum); |
| 458 | 3250 } |
| 3251 | |
| 3252 ComplexMatrix | |
| 3723 | 3253 ComplexMatrix::prod (int dim) const |
| 458 | 3254 { |
|
9227
8145f2255276
use explicit template qualifs to please Intel C++ and MSVC++
Jaroslav Hajek <highegg@gmail.com>
parents:
8999
diff
changeset
|
3255 return do_mx_red_op<ComplexMatrix, Complex> (*this, dim, mx_inline_prod); |
| 458 | 3256 } |
| 3257 | |
| 3258 ComplexMatrix | |
| 3723 | 3259 ComplexMatrix::sum (int dim) const |
| 458 | 3260 { |
|
9227
8145f2255276
use explicit template qualifs to please Intel C++ and MSVC++
Jaroslav Hajek <highegg@gmail.com>
parents:
8999
diff
changeset
|
3261 return do_mx_red_op<ComplexMatrix, Complex> (*this, dim, mx_inline_sum); |
| 458 | 3262 } |
| 3263 | |
| 3264 ComplexMatrix | |
| 3723 | 3265 ComplexMatrix::sumsq (int dim) const |
| 458 | 3266 { |
|
9227
8145f2255276
use explicit template qualifs to please Intel C++ and MSVC++
Jaroslav Hajek <highegg@gmail.com>
parents:
8999
diff
changeset
|
3267 return do_mx_red_op<Matrix, Complex> (*this, dim, mx_inline_sumsq); |
| 458 | 3268 } |
| 3269 | |
| 4329 | 3270 Matrix ComplexMatrix::abs (void) const |
| 3271 { | |
|
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
|
3272 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
|
3273 rows (), cols ()); |
| 4329 | 3274 } |
| 3275 | |
|
7620
36594d5bbe13
Move diag function into the octave_value class
David Bateman <dbateman@free.fr>
parents:
7544
diff
changeset
|
3276 ComplexMatrix |
| 5275 | 3277 ComplexMatrix::diag (octave_idx_type k) const |
| 458 | 3278 { |
|
7620
36594d5bbe13
Move diag function into the octave_value class
David Bateman <dbateman@free.fr>
parents:
7544
diff
changeset
|
3279 return MArray2<Complex>::diag (k); |
| 458 | 3280 } |
| 3281 | |
| 2354 | 3282 bool |
| 5275 | 3283 ComplexMatrix::row_is_real_only (octave_idx_type i) const |
| 2354 | 3284 { |
| 3285 bool retval = true; | |
| 3286 | |
| 5275 | 3287 octave_idx_type nc = columns (); |
| 3288 | |
| 3289 for (octave_idx_type j = 0; j < nc; j++) | |
| 2354 | 3290 { |
| 5315 | 3291 if (std::imag (elem (i, j)) != 0.0) |
| 2354 | 3292 { |
| 3293 retval = false; | |
| 3294 break; | |
| 3295 } | |
| 3296 } | |
| 3297 | |
| 3298 return retval; | |
| 3299 } | |
| 3300 | |
| 3301 bool | |
| 5275 | 3302 ComplexMatrix::column_is_real_only (octave_idx_type j) const |
| 2354 | 3303 { |
| 3304 bool retval = true; | |
| 3305 | |
| 5275 | 3306 octave_idx_type nr = rows (); |
| 3307 | |
| 3308 for (octave_idx_type i = 0; i < nr; i++) | |
| 2354 | 3309 { |
| 5315 | 3310 if (std::imag (elem (i, j)) != 0.0) |
| 2354 | 3311 { |
| 3312 retval = false; | |
| 3313 break; | |
| 3314 } | |
| 3315 } | |
| 3316 | |
| 3317 return retval; | |
| 3318 } | |
| 891 | 3319 |
| 458 | 3320 ComplexColumnVector |
| 3321 ComplexMatrix::row_min (void) const | |
| 3322 { | |
| 5275 | 3323 Array<octave_idx_type> dummy_idx; |
| 4587 | 3324 return row_min (dummy_idx); |
| 458 | 3325 } |
| 3326 | |
| 3327 ComplexColumnVector | |
| 5275 | 3328 ComplexMatrix::row_min (Array<octave_idx_type>& idx_arg) const |
| 458 | 3329 { |
| 3330 ComplexColumnVector result; | |
| 3331 | |
| 5275 | 3332 octave_idx_type nr = rows (); |
| 3333 octave_idx_type nc = cols (); | |
| 458 | 3334 |
| 3335 if (nr > 0 && nc > 0) | |
| 3336 { | |
| 3337 result.resize (nr); | |
| 4587 | 3338 idx_arg.resize (nr); |
| 458 | 3339 |
| 5275 | 3340 for (octave_idx_type i = 0; i < nr; i++) |
| 458 | 3341 { |
| 2354 | 3342 bool real_only = row_is_real_only (i); |
| 3343 | |
| 5275 | 3344 octave_idx_type idx_j; |
| 4469 | 3345 |
| 3346 Complex tmp_min; | |
| 3347 | |
| 3348 double abs_min = octave_NaN; | |
| 3349 | |
| 3350 for (idx_j = 0; idx_j < nc; idx_j++) | |
| 3351 { | |
| 3352 tmp_min = elem (i, idx_j); | |
| 3353 | |
| 5389 | 3354 if (! xisnan (tmp_min)) |
| 4469 | 3355 { |
| 5315 | 3356 abs_min = real_only ? std::real (tmp_min) : std::abs (tmp_min); |
| 4469 | 3357 break; |
| 3358 } | |
| 3359 } | |
| 3360 | |
| 5275 | 3361 for (octave_idx_type j = idx_j+1; j < nc; j++) |
| 4469 | 3362 { |
| 3363 Complex tmp = elem (i, j); | |
| 3364 | |
| 5389 | 3365 if (xisnan (tmp)) |
| 4469 | 3366 continue; |
| 3367 | |
| 5315 | 3368 double abs_tmp = real_only ? std::real (tmp) : std::abs (tmp); |
| 4469 | 3369 |
| 3370 if (abs_tmp < abs_min) | |
| 3371 { | |
| 3372 idx_j = j; | |
| 3373 tmp_min = tmp; | |
| 3374 abs_min = abs_tmp; | |
| 3375 } | |
| 3376 } | |
| 3377 | |
| 5389 | 3378 if (xisnan (tmp_min)) |
| 4469 | 3379 { |
| 3380 result.elem (i) = Complex_NaN_result; | |
| 4587 | 3381 idx_arg.elem (i) = 0; |
| 4469 | 3382 } |
| 891 | 3383 else |
| 3384 { | |
| 4469 | 3385 result.elem (i) = tmp_min; |
| 4587 | 3386 idx_arg.elem (i) = idx_j; |
| 891 | 3387 } |
| 458 | 3388 } |
| 3389 } | |
| 3390 | |
| 3391 return result; | |
| 3392 } | |
| 3393 | |
| 3394 ComplexColumnVector | |
| 3395 ComplexMatrix::row_max (void) const | |
| 3396 { | |
| 5275 | 3397 Array<octave_idx_type> dummy_idx; |
| 4587 | 3398 return row_max (dummy_idx); |
| 458 | 3399 } |
| 3400 | |
| 3401 ComplexColumnVector | |
| 5275 | 3402 ComplexMatrix::row_max (Array<octave_idx_type>& idx_arg) const |
| 458 | 3403 { |
| 3404 ComplexColumnVector result; | |
| 3405 | |
| 5275 | 3406 octave_idx_type nr = rows (); |
| 3407 octave_idx_type nc = cols (); | |
| 458 | 3408 |
| 3409 if (nr > 0 && nc > 0) | |
| 3410 { | |
| 3411 result.resize (nr); | |
| 4587 | 3412 idx_arg.resize (nr); |
| 458 | 3413 |
| 5275 | 3414 for (octave_idx_type i = 0; i < nr; i++) |
| 458 | 3415 { |
| 2354 | 3416 bool real_only = row_is_real_only (i); |
| 3417 | |
| 5275 | 3418 octave_idx_type idx_j; |
| 4469 | 3419 |
| 3420 Complex tmp_max; | |
| 3421 | |
| 3422 double abs_max = octave_NaN; | |
| 3423 | |
| 3424 for (idx_j = 0; idx_j < nc; idx_j++) | |
| 3425 { | |
| 3426 tmp_max = elem (i, idx_j); | |
| 3427 | |
| 5389 | 3428 if (! xisnan (tmp_max)) |
| 4469 | 3429 { |
| 5315 | 3430 abs_max = real_only ? std::real (tmp_max) : std::abs (tmp_max); |
| 4469 | 3431 break; |
| 3432 } | |
| 3433 } | |
| 3434 | |
| 5275 | 3435 for (octave_idx_type j = idx_j+1; j < nc; j++) |
| 4469 | 3436 { |
| 3437 Complex tmp = elem (i, j); | |
| 3438 | |
| 5389 | 3439 if (xisnan (tmp)) |
| 4469 | 3440 continue; |
| 3441 | |
| 5315 | 3442 double abs_tmp = real_only ? std::real (tmp) : std::abs (tmp); |
| 4469 | 3443 |
| 3444 if (abs_tmp > abs_max) | |
| 3445 { | |
| 3446 idx_j = j; | |
| 3447 tmp_max = tmp; | |
| 3448 abs_max = abs_tmp; | |
| 3449 } | |
| 3450 } | |
| 3451 | |
| 5389 | 3452 if (xisnan (tmp_max)) |
| 4469 | 3453 { |
| 3454 result.elem (i) = Complex_NaN_result; | |
| 4587 | 3455 idx_arg.elem (i) = 0; |
| 4469 | 3456 } |
| 891 | 3457 else |
| 3458 { | |
| 4469 | 3459 result.elem (i) = tmp_max; |
| 4587 | 3460 idx_arg.elem (i) = idx_j; |
| 891 | 3461 } |
| 458 | 3462 } |
| 3463 } | |
| 3464 | |
| 3465 return result; | |
| 3466 } | |
| 3467 | |
| 3468 ComplexRowVector | |
| 3469 ComplexMatrix::column_min (void) const | |
| 3470 { | |
| 5275 | 3471 Array<octave_idx_type> dummy_idx; |
| 4587 | 3472 return column_min (dummy_idx); |
| 458 | 3473 } |
| 3474 | |
| 3475 ComplexRowVector | |
| 5275 | 3476 ComplexMatrix::column_min (Array<octave_idx_type>& idx_arg) const |
| 458 | 3477 { |
| 3478 ComplexRowVector result; | |
| 3479 | |
| 5275 | 3480 octave_idx_type nr = rows (); |
| 3481 octave_idx_type nc = cols (); | |
| 458 | 3482 |
| 3483 if (nr > 0 && nc > 0) | |
| 3484 { | |
| 3485 result.resize (nc); | |
| 4587 | 3486 idx_arg.resize (nc); |
| 458 | 3487 |
| 5275 | 3488 for (octave_idx_type j = 0; j < nc; j++) |
| 458 | 3489 { |
| 2354 | 3490 bool real_only = column_is_real_only (j); |
| 3491 | |
| 5275 | 3492 octave_idx_type idx_i; |
| 4469 | 3493 |
| 3494 Complex tmp_min; | |
| 3495 | |
| 3496 double abs_min = octave_NaN; | |
| 3497 | |
| 3498 for (idx_i = 0; idx_i < nr; idx_i++) | |
| 3499 { | |
| 3500 tmp_min = elem (idx_i, j); | |
| 3501 | |
| 5389 | 3502 if (! xisnan (tmp_min)) |
| 4469 | 3503 { |
| 5315 | 3504 abs_min = real_only ? std::real (tmp_min) : std::abs (tmp_min); |
| 4469 | 3505 break; |
| 3506 } | |
| 3507 } | |
| 3508 | |
| 5275 | 3509 for (octave_idx_type i = idx_i+1; i < nr; i++) |
| 4469 | 3510 { |
| 3511 Complex tmp = elem (i, j); | |
| 3512 | |
| 5389 | 3513 if (xisnan (tmp)) |
| 4469 | 3514 continue; |
| 3515 | |
| 5315 | 3516 double abs_tmp = real_only ? std::real (tmp) : std::abs (tmp); |
| 4469 | 3517 |
| 3518 if (abs_tmp < abs_min) | |
| 3519 { | |
| 3520 idx_i = i; | |
| 3521 tmp_min = tmp; | |
| 3522 abs_min = abs_tmp; | |
| 3523 } | |
| 3524 } | |
| 3525 | |
| 5389 | 3526 if (xisnan (tmp_min)) |
| 4469 | 3527 { |
| 3528 result.elem (j) = Complex_NaN_result; | |
| 4587 | 3529 idx_arg.elem (j) = 0; |
| 4469 | 3530 } |
| 891 | 3531 else |
| 3532 { | |
| 4469 | 3533 result.elem (j) = tmp_min; |
| 4587 | 3534 idx_arg.elem (j) = idx_i; |
| 891 | 3535 } |
| 458 | 3536 } |
| 3537 } | |
| 3538 | |
| 3539 return result; | |
| 3540 } | |
| 3541 | |
| 3542 ComplexRowVector | |
| 3543 ComplexMatrix::column_max (void) const | |
| 3544 { | |
| 5275 | 3545 Array<octave_idx_type> dummy_idx; |
| 4587 | 3546 return column_max (dummy_idx); |
| 458 | 3547 } |
| 3548 | |
| 3549 ComplexRowVector | |
| 5275 | 3550 ComplexMatrix::column_max (Array<octave_idx_type>& idx_arg) const |
| 458 | 3551 { |
| 3552 ComplexRowVector result; | |
| 3553 | |
| 5275 | 3554 octave_idx_type nr = rows (); |
| 3555 octave_idx_type nc = cols (); | |
| 458 | 3556 |
| 3557 if (nr > 0 && nc > 0) | |
| 3558 { | |
| 3559 result.resize (nc); | |
| 4587 | 3560 idx_arg.resize (nc); |
| 458 | 3561 |
| 5275 | 3562 for (octave_idx_type j = 0; j < nc; j++) |
| 458 | 3563 { |
| 2354 | 3564 bool real_only = column_is_real_only (j); |
| 3565 | |
| 5275 | 3566 octave_idx_type idx_i; |
| 4469 | 3567 |
| 3568 Complex tmp_max; | |
| 3569 | |
| 3570 double abs_max = octave_NaN; | |
| 3571 | |
| 3572 for (idx_i = 0; idx_i < nr; idx_i++) | |
| 3573 { | |
| 3574 tmp_max = elem (idx_i, j); | |
| 3575 | |
| 5389 | 3576 if (! xisnan (tmp_max)) |
| 4469 | 3577 { |
| 5315 | 3578 abs_max = real_only ? std::real (tmp_max) : std::abs (tmp_max); |
| 4469 | 3579 break; |
| 3580 } | |
| 3581 } | |
| 3582 | |
| 5275 | 3583 for (octave_idx_type i = idx_i+1; i < nr; i++) |
| 4469 | 3584 { |
| 3585 Complex tmp = elem (i, j); | |
| 3586 | |
| 5389 | 3587 if (xisnan (tmp)) |
| 4469 | 3588 continue; |
| 3589 | |
| 5315 | 3590 double abs_tmp = real_only ? std::real (tmp) : std::abs (tmp); |
| 4469 | 3591 |
| 3592 if (abs_tmp > abs_max) | |
| 3593 { | |
| 3594 idx_i = i; | |
| 3595 tmp_max = tmp; | |
| 3596 abs_max = abs_tmp; | |
| 3597 } | |
| 3598 } | |
| 3599 | |
| 5389 | 3600 if (xisnan (tmp_max)) |
| 4469 | 3601 { |
| 3602 result.elem (j) = Complex_NaN_result; | |
| 4587 | 3603 idx_arg.elem (j) = 0; |
| 4469 | 3604 } |
| 891 | 3605 else |
| 3606 { | |
| 4469 | 3607 result.elem (j) = tmp_max; |
| 4587 | 3608 idx_arg.elem (j) = idx_i; |
| 891 | 3609 } |
| 458 | 3610 } |
| 3611 } | |
| 3612 | |
| 3613 return result; | |
| 3614 } | |
| 3615 | |
| 3616 // i/o | |
| 3617 | |
| 3504 | 3618 std::ostream& |
| 3619 operator << (std::ostream& os, const ComplexMatrix& a) | |
| 458 | 3620 { |
| 5275 | 3621 for (octave_idx_type i = 0; i < a.rows (); i++) |
| 458 | 3622 { |
| 5275 | 3623 for (octave_idx_type j = 0; j < a.cols (); j++) |
| 4130 | 3624 { |
| 3625 os << " "; | |
| 3626 octave_write_complex (os, a.elem (i, j)); | |
| 3627 } | |
| 458 | 3628 os << "\n"; |
| 3629 } | |
| 3630 return os; | |
| 3631 } | |
| 3632 | |
| 3504 | 3633 std::istream& |
| 3634 operator >> (std::istream& is, ComplexMatrix& a) | |
| 458 | 3635 { |
| 5275 | 3636 octave_idx_type nr = a.rows (); |
| 3637 octave_idx_type nc = a.cols (); | |
| 458 | 3638 |
|
8999
dc07bc4157b8
allow empty matrices in stream input operators
Jaroslav Hajek <highegg@gmail.com>
parents:
8956
diff
changeset
|
3639 if (nr > 0 && nc > 0) |
| 458 | 3640 { |
| 3641 Complex tmp; | |
| 5275 | 3642 for (octave_idx_type i = 0; i < nr; i++) |
| 3643 for (octave_idx_type j = 0; j < nc; j++) | |
| 458 | 3644 { |
|
9469
c6edba80dfae
sanity checks for loading sparse matrices
John W. Eaton <jwe@octave.org>
parents:
9359
diff
changeset
|
3645 tmp = octave_read_value<Complex> (is); |
| 458 | 3646 if (is) |
| 3647 a.elem (i, j) = tmp; | |
| 3648 else | |
| 2993 | 3649 goto done; |
| 458 | 3650 } |
| 3651 } | |
| 3652 | |
| 2993 | 3653 done: |
| 3654 | |
| 458 | 3655 return is; |
| 3656 } | |
| 3657 | |
| 1819 | 3658 ComplexMatrix |
| 3659 Givens (const Complex& x, const Complex& y) | |
| 3660 { | |
| 3661 double cc; | |
| 3662 Complex cs, temp_r; | |
| 3663 | |
| 3887 | 3664 F77_FUNC (zlartg, ZLARTG) (x, y, cc, cs, temp_r); |
| 1819 | 3665 |
| 3666 ComplexMatrix g (2, 2); | |
| 3667 | |
| 3668 g.elem (0, 0) = cc; | |
| 3669 g.elem (1, 1) = cc; | |
| 3670 g.elem (0, 1) = cs; | |
| 3671 g.elem (1, 0) = -conj (cs); | |
| 3672 | |
| 3673 return g; | |
| 3674 } | |
| 3675 | |
| 3676 ComplexMatrix | |
| 3677 Sylvester (const ComplexMatrix& a, const ComplexMatrix& b, | |
| 3678 const ComplexMatrix& c) | |
| 3679 { | |
| 3680 ComplexMatrix retval; | |
| 3681 | |
| 5775 | 3682 // FIXME -- need to check that a, b, and c are all the same |
| 1819 | 3683 // size. |
| 3684 | |
| 3685 // Compute Schur decompositions | |
| 3686 | |
| 3687 ComplexSCHUR as (a, "U"); | |
| 3688 ComplexSCHUR bs (b, "U"); | |
| 3689 | |
| 3690 // Transform c to new coordinates. | |
| 3691 | |
| 3692 ComplexMatrix ua = as.unitary_matrix (); | |
| 3693 ComplexMatrix sch_a = as.schur_matrix (); | |
| 3694 | |
| 3695 ComplexMatrix ub = bs.unitary_matrix (); | |
| 3696 ComplexMatrix sch_b = bs.schur_matrix (); | |
| 3697 | |
| 3698 ComplexMatrix cx = ua.hermitian () * c * ub; | |
| 3699 | |
| 3700 // Solve the sylvester equation, back-transform, and return the | |
| 3701 // solution. | |
| 3702 | |
| 5275 | 3703 octave_idx_type a_nr = a.rows (); |
| 3704 octave_idx_type b_nr = b.rows (); | |
| 1819 | 3705 |
| 3706 double scale; | |
| 5275 | 3707 octave_idx_type info; |
| 1950 | 3708 |
| 3709 Complex *pa = sch_a.fortran_vec (); | |
| 3710 Complex *pb = sch_b.fortran_vec (); | |
| 3711 Complex *px = cx.fortran_vec (); | |
| 1819 | 3712 |
| 4552 | 3713 F77_XFCN (ztrsyl, ZTRSYL, (F77_CONST_CHAR_ARG2 ("N", 1), |
| 3714 F77_CONST_CHAR_ARG2 ("N", 1), | |
| 3715 1, a_nr, b_nr, pa, a_nr, pb, | |
| 3716 b_nr, px, a_nr, scale, info | |
| 3717 F77_CHAR_ARG_LEN (1) | |
| 3718 F77_CHAR_ARG_LEN (1))); | |
| 1950 | 3719 |
|
7482
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
3720 // FIXME -- check info? |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
3721 |
|
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
3722 retval = -ua * cx * ub.hermitian (); |
| 1819 | 3723 |
| 3724 return retval; | |
| 3725 } | |
| 3726 | |
| 2828 | 3727 ComplexMatrix |
| 3728 operator * (const ComplexMatrix& m, const Matrix& a) | |
| 3729 { | |
| 3730 ComplexMatrix tmp (a); | |
| 3731 return m * tmp; | |
| 3732 } | |
| 3733 | |
| 3734 ComplexMatrix | |
| 3735 operator * (const Matrix& m, const ComplexMatrix& a) | |
| 3736 { | |
| 3737 ComplexMatrix tmp (m); | |
| 3738 return tmp * a; | |
| 3739 } | |
| 3740 | |
| 6162 | 3741 /* Simple Dot Product, Matrix-Vector and Matrix-Matrix Unit tests |
| 3742 %!assert([1+i 2+i 3+i] * [ 4+i ; 5+i ; 6+i], 29+21i, 1e-14) | |
| 3743 %!assert([1+i 2+i ; 3+i 4+i ] * [5+i ; 6+i], [15 + 14i ; 37 + 18i], 1e-14) | |
| 3744 %!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
|
3745 %!assert([1 i]*[i 0]', -i); |
| 6162 | 3746 */ |
| 3747 | |
| 3748 /* Test some simple identities | |
| 3749 %!shared M, cv, rv | |
| 3750 %! M = randn(10,10)+i*rand(10,10); | |
| 3751 %! cv = randn(10,1)+i*rand(10,1); | |
| 3752 %! rv = randn(1,10)+i*rand(1,10); | |
| 3753 %!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
|
3754 %!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
|
3755 %!assert([M'*cv,M'*cv],M'*[cv,cv],1e-14) |
| 6162 | 3756 %!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
|
3757 %!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
|
3758 %!assert([rv*M';rv*M'],[rv;rv]*M',1e-14) |
| 6162 | 3759 %!assert(2*rv*cv,[rv,rv]*[cv;cv],1e-14) |
| 3760 */ | |
| 3761 | |
|
7800
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3762 static const char * |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3763 get_blas_trans_arg (bool trans, bool conj) |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3764 { |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3765 static char blas_notrans = 'N', blas_trans = 'T', blas_conj_trans = 'C'; |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3766 return trans ? (conj ? &blas_conj_trans : &blas_trans) : &blas_notrans; |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3767 } |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3768 |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3769 // the general GEMM operation |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3770 |
| 2828 | 3771 ComplexMatrix |
|
7800
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3772 xgemm (bool transa, bool conja, const ComplexMatrix& a, |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3773 bool transb, bool conjb, const ComplexMatrix& b) |
| 2828 | 3774 { |
| 3775 ComplexMatrix retval; | |
| 3776 | |
|
7800
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3777 // conjugacy is ignored if no transpose |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3778 conja = conja && transa; |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3779 conjb = conjb && transb; |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3780 |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3781 octave_idx_type a_nr = transa ? a.cols () : a.rows (); |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3782 octave_idx_type a_nc = transa ? a.rows () : a.cols (); |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3783 |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3784 octave_idx_type b_nr = transb ? b.cols () : b.rows (); |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3785 octave_idx_type b_nc = transb ? b.rows () : b.cols (); |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3786 |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3787 if (a_nc != b_nr) |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3788 gripe_nonconformant ("operator *", a_nr, a_nc, b_nr, b_nc); |
| 2828 | 3789 else |
| 3790 { | |
|
7800
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3791 if (a_nr == 0 || a_nc == 0 || b_nc == 0) |
|
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, 0.0); |
|
7801
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3793 else if (a.data () == b.data () && a_nr == b_nc && transa != transb) |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3794 { |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3795 octave_idx_type lda = a.rows (); |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3796 |
|
9359
be6867ba8104
avoid useless zero initialization when doing matrix multiply
Jaroslav Hajek <highegg@gmail.com>
parents:
9227
diff
changeset
|
3797 retval = ComplexMatrix (a_nr, b_nc); |
|
7801
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3798 Complex *c = retval.fortran_vec (); |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3799 |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3800 const char *ctransa = get_blas_trans_arg (transa, conja); |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3801 if (conja || conjb) |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3802 { |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3803 F77_XFCN (zherk, ZHERK, (F77_CONST_CHAR_ARG2 ("U", 1), |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3804 F77_CONST_CHAR_ARG2 (ctransa, 1), |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3805 a_nr, a_nc, 1.0, |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3806 a.data (), lda, 0.0, c, a_nr |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3807 F77_CHAR_ARG_LEN (1) |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3808 F77_CHAR_ARG_LEN (1))); |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3809 for (int j = 0; j < a_nr; j++) |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3810 for (int i = 0; i < j; i++) |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3811 retval.xelem (j,i) = std::conj (retval.xelem (i,j)); |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3812 } |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3813 else |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3814 { |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3815 F77_XFCN (zsyrk, ZSYRK, (F77_CONST_CHAR_ARG2 ("U", 1), |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3816 F77_CONST_CHAR_ARG2 (ctransa, 1), |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3817 a_nr, a_nc, 1.0, |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3818 a.data (), lda, 0.0, c, a_nr |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3819 F77_CHAR_ARG_LEN (1) |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3820 F77_CHAR_ARG_LEN (1))); |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3821 for (int j = 0; j < a_nr; j++) |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3822 for (int i = 0; i < j; i++) |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3823 retval.xelem (j,i) = retval.xelem (i,j); |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3824 |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3825 } |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3826 |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3827 } |
| 2828 | 3828 else |
| 3829 { | |
|
7800
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3830 octave_idx_type lda = a.rows (), tda = a.cols (); |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3831 octave_idx_type ldb = b.rows (), tdb = b.cols (); |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3832 |
|
9359
be6867ba8104
avoid useless zero initialization when doing matrix multiply
Jaroslav Hajek <highegg@gmail.com>
parents:
9227
diff
changeset
|
3833 retval = ComplexMatrix (a_nr, b_nc); |
| 2828 | 3834 Complex *c = retval.fortran_vec (); |
| 3835 | |
|
7800
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3836 if (b_nc == 1 && a_nr == 1) |
| 5983 | 3837 { |
|
7800
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3838 if (conja == conjb) |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3839 { |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3840 F77_FUNC (xzdotu, XZDOTU) (a_nc, a.data (), 1, b.data (), 1, *c); |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3841 if (conja) *c = std::conj (*c); |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3842 } |
|
9526
f3ebc728ffd7
fix typos in complex xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9523
diff
changeset
|
3843 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
|
3844 F77_FUNC (xzdotc, XZDOTC) (a_nc, a.data (), 1, b.data (), 1, *c); |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3845 else |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3846 F77_FUNC (xzdotc, XZDOTC) (a_nc, b.data (), 1, a.data (), 1, *c); |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3847 } |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3848 else if (b_nc == 1 && ! conjb) |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3849 { |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3850 const char *ctransa = get_blas_trans_arg (transa, conja); |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3851 F77_XFCN (zgemv, ZGEMV, (F77_CONST_CHAR_ARG2 (ctransa, 1), |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3852 lda, tda, 1.0, a.data (), lda, |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3853 b.data (), 1, 0.0, c, 1 |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3854 F77_CHAR_ARG_LEN (1))); |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3855 } |
|
9528
ec066ba012c8
more fixes & tests for matrix multiply
Jaroslav Hajek <highegg@gmail.com>
parents:
9526
diff
changeset
|
3856 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
|
3857 { |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3858 const char *crevtransb = get_blas_trans_arg (! transb, conjb); |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3859 F77_XFCN (zgemv, ZGEMV, (F77_CONST_CHAR_ARG2 (crevtransb, 1), |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3860 ldb, tdb, 1.0, b.data (), ldb, |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3861 a.data (), 1, 0.0, c, 1 |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3862 F77_CHAR_ARG_LEN (1))); |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3863 } |
| 5983 | 3864 else |
| 6390 | 3865 { |
|
7800
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3866 const char *ctransa = get_blas_trans_arg (transa, conja); |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3867 const char *ctransb = get_blas_trans_arg (transb, conjb); |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3868 F77_XFCN (zgemm, ZGEMM, (F77_CONST_CHAR_ARG2 (ctransa, 1), |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3869 F77_CONST_CHAR_ARG2 (ctransb, 1), |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3870 a_nr, b_nc, a_nc, 1.0, a.data (), |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3871 lda, b.data (), ldb, 0.0, c, a_nr |
| 6390 | 3872 F77_CHAR_ARG_LEN (1) |
| 3873 F77_CHAR_ARG_LEN (1))); | |
| 3874 } | |
| 2828 | 3875 } |
| 3876 } | |
| 3877 | |
| 3878 return retval; | |
| 3879 } | |
| 3880 | |
|
7800
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3881 ComplexMatrix |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3882 operator * (const ComplexMatrix& a, const ComplexMatrix& b) |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3883 { |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3884 return xgemm (false, false, a, false, false, b); |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3885 } |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3886 |
| 5775 | 3887 // FIXME -- it would be nice to share code among the min/max |
| 4309 | 3888 // functions below. |
| 3889 | |
| 3890 #define EMPTY_RETURN_CHECK(T) \ | |
| 3891 if (nr == 0 || nc == 0) \ | |
| 3892 return T (nr, nc); | |
| 3893 | |
| 3894 ComplexMatrix | |
| 3895 min (const Complex& c, const ComplexMatrix& m) | |
| 3896 { | |
| 5275 | 3897 octave_idx_type nr = m.rows (); |
| 3898 octave_idx_type nc = m.columns (); | |
| 4309 | 3899 |
| 3900 EMPTY_RETURN_CHECK (ComplexMatrix); | |
| 3901 | |
| 3902 ComplexMatrix result (nr, nc); | |
| 3903 | |
| 5275 | 3904 for (octave_idx_type j = 0; j < nc; j++) |
| 3905 for (octave_idx_type i = 0; i < nr; i++) | |
| 4309 | 3906 { |
| 3907 OCTAVE_QUIT; | |
| 3908 result (i, j) = xmin (c, m (i, j)); | |
| 3909 } | |
| 3910 | |
| 3911 return result; | |
| 3912 } | |
| 3913 | |
| 3914 ComplexMatrix | |
| 3915 min (const ComplexMatrix& m, const Complex& c) | |
| 3916 { | |
| 5275 | 3917 octave_idx_type nr = m.rows (); |
| 3918 octave_idx_type nc = m.columns (); | |
| 4309 | 3919 |
| 3920 EMPTY_RETURN_CHECK (ComplexMatrix); | |
| 3921 | |
| 3922 ComplexMatrix result (nr, nc); | |
| 3923 | |
| 5275 | 3924 for (octave_idx_type j = 0; j < nc; j++) |
| 3925 for (octave_idx_type i = 0; i < nr; i++) | |
| 4309 | 3926 { |
| 3927 OCTAVE_QUIT; | |
| 3928 result (i, j) = xmin (m (i, j), c); | |
| 3929 } | |
| 3930 | |
| 3931 return result; | |
| 3932 } | |
| 3933 | |
| 3934 ComplexMatrix | |
| 3935 min (const ComplexMatrix& a, const ComplexMatrix& b) | |
| 3936 { | |
| 5275 | 3937 octave_idx_type nr = a.rows (); |
| 3938 octave_idx_type nc = a.columns (); | |
| 4309 | 3939 |
| 3940 if (nr != b.rows () || nc != b.columns ()) | |
| 3941 { | |
| 3942 (*current_liboctave_error_handler) | |
| 3943 ("two-arg min expecting args of same size"); | |
| 3944 return ComplexMatrix (); | |
| 3945 } | |
| 3946 | |
| 3947 EMPTY_RETURN_CHECK (ComplexMatrix); | |
| 3948 | |
| 3949 ComplexMatrix result (nr, nc); | |
| 3950 | |
| 5275 | 3951 for (octave_idx_type j = 0; j < nc; j++) |
| 4309 | 3952 { |
| 3953 int columns_are_real_only = 1; | |
| 5275 | 3954 for (octave_idx_type i = 0; i < nr; i++) |
| 4309 | 3955 { |
| 3956 OCTAVE_QUIT; | |
| 5315 | 3957 if (std::imag (a (i, j)) != 0.0 || std::imag (b (i, j)) != 0.0) |
| 4309 | 3958 { |
| 3959 columns_are_real_only = 0; | |
| 3960 break; | |
| 3961 } | |
| 3962 } | |
| 3963 | |
| 3964 if (columns_are_real_only) | |
| 3965 { | |
| 5275 | 3966 for (octave_idx_type i = 0; i < nr; i++) |
| 5315 | 3967 result (i, j) = xmin (std::real (a (i, j)), std::real (b (i, j))); |
| 4309 | 3968 } |
| 3969 else | |
| 3970 { | |
| 5275 | 3971 for (octave_idx_type i = 0; i < nr; i++) |
| 4309 | 3972 { |
| 3973 OCTAVE_QUIT; | |
| 3974 result (i, j) = xmin (a (i, j), b (i, j)); | |
| 3975 } | |
| 3976 } | |
| 3977 } | |
| 3978 | |
| 3979 return result; | |
| 3980 } | |
| 3981 | |
| 3982 ComplexMatrix | |
| 3983 max (const Complex& c, const ComplexMatrix& m) | |
| 3984 { | |
| 5275 | 3985 octave_idx_type nr = m.rows (); |
| 3986 octave_idx_type nc = m.columns (); | |
| 4309 | 3987 |
| 3988 EMPTY_RETURN_CHECK (ComplexMatrix); | |
| 3989 | |
| 3990 ComplexMatrix result (nr, nc); | |
| 3991 | |
| 5275 | 3992 for (octave_idx_type j = 0; j < nc; j++) |
| 3993 for (octave_idx_type i = 0; i < nr; i++) | |
| 4309 | 3994 { |
| 3995 OCTAVE_QUIT; | |
| 3996 result (i, j) = xmax (c, m (i, j)); | |
| 3997 } | |
| 3998 | |
| 3999 return result; | |
| 4000 } | |
| 4001 | |
| 4002 ComplexMatrix | |
| 4003 max (const ComplexMatrix& m, const Complex& c) | |
| 4004 { | |
| 5275 | 4005 octave_idx_type nr = m.rows (); |
| 4006 octave_idx_type nc = m.columns (); | |
| 4309 | 4007 |
| 4008 EMPTY_RETURN_CHECK (ComplexMatrix); | |
| 4009 | |
| 4010 ComplexMatrix result (nr, nc); | |
| 4011 | |
| 5275 | 4012 for (octave_idx_type j = 0; j < nc; j++) |
| 4013 for (octave_idx_type i = 0; i < nr; i++) | |
| 4309 | 4014 { |
| 4015 OCTAVE_QUIT; | |
| 4016 result (i, j) = xmax (m (i, j), c); | |
| 4017 } | |
| 4018 | |
| 4019 return result; | |
| 4020 } | |
| 4021 | |
| 4022 ComplexMatrix | |
| 4023 max (const ComplexMatrix& a, const ComplexMatrix& b) | |
| 4024 { | |
| 5275 | 4025 octave_idx_type nr = a.rows (); |
| 4026 octave_idx_type nc = a.columns (); | |
| 4309 | 4027 |
| 4028 if (nr != b.rows () || nc != b.columns ()) | |
| 4029 { | |
| 4030 (*current_liboctave_error_handler) | |
| 4031 ("two-arg max expecting args of same size"); | |
| 4032 return ComplexMatrix (); | |
| 4033 } | |
| 4034 | |
| 4035 EMPTY_RETURN_CHECK (ComplexMatrix); | |
| 4036 | |
| 4037 ComplexMatrix result (nr, nc); | |
| 4038 | |
| 5275 | 4039 for (octave_idx_type j = 0; j < nc; j++) |
| 4309 | 4040 { |
| 4041 int columns_are_real_only = 1; | |
| 5275 | 4042 for (octave_idx_type i = 0; i < nr; i++) |
| 4309 | 4043 { |
| 4044 OCTAVE_QUIT; | |
| 5315 | 4045 if (std::imag (a (i, j)) != 0.0 || std::imag (b (i, j)) != 0.0) |
| 4309 | 4046 { |
| 4047 columns_are_real_only = 0; | |
| 4048 break; | |
| 4049 } | |
| 4050 } | |
| 4051 | |
| 4052 if (columns_are_real_only) | |
| 4053 { | |
| 5275 | 4054 for (octave_idx_type i = 0; i < nr; i++) |
| 4309 | 4055 { |
| 4056 OCTAVE_QUIT; | |
| 5315 | 4057 result (i, j) = xmax (std::real (a (i, j)), std::real (b (i, j))); |
| 4309 | 4058 } |
| 4059 } | |
| 4060 else | |
| 4061 { | |
| 5275 | 4062 for (octave_idx_type i = 0; i < nr; i++) |
| 4309 | 4063 { |
| 4064 OCTAVE_QUIT; | |
| 4065 result (i, j) = xmax (a (i, j), b (i, j)); | |
| 4066 } | |
| 4067 } | |
| 4068 } | |
| 4069 | |
| 4070 return result; | |
| 4071 } | |
| 4072 | |
|
9653
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4073 ComplexMatrix linspace (const ComplexColumnVector& x1, |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4074 const ComplexColumnVector& x2, |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4075 octave_idx_type n) |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4076 |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4077 { |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4078 if (n < 1) n = 1; |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4079 |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4080 octave_idx_type m = x1.length (); |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4081 |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4082 if (x2.length () != m) |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4083 (*current_liboctave_error_handler) ("linspace: vectors must be of equal length"); |
|
e087d7c77ff9
improve linspace in liboctave
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parents:
9601
diff
changeset
|
4084 |
|
e087d7c77ff9
improve linspace in liboctave
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parents:
9601
diff
changeset
|
4085 NoAlias<ComplexMatrix> retval; |
|
e087d7c77ff9
improve linspace in liboctave
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parents:
9601
diff
changeset
|
4086 |
|
e087d7c77ff9
improve linspace in liboctave
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parents:
9601
diff
changeset
|
4087 retval.clear (m, n); |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4088 for (octave_idx_type i = 0; i < m; i++) |
|
e087d7c77ff9
improve linspace in liboctave
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parents:
9601
diff
changeset
|
4089 retval(i, 0) = x1(i); |
|
e087d7c77ff9
improve linspace in liboctave
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parents:
9601
diff
changeset
|
4090 |
|
e087d7c77ff9
improve linspace in liboctave
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parents:
9601
diff
changeset
|
4091 // The last column is not needed while using delta. |
|
9658
3429c956de6f
extend linspace & fix up liboctave rewrite
Jaroslav Hajek <highegg@gmail.com>
parents:
9653
diff
changeset
|
4092 Complex *delta = &retval(0, n-1); |
|
9653
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4093 for (octave_idx_type i = 0; i < m; i++) |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4094 delta[i] = (x2(i) - x1(i)) / (n - 1.0); |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
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diff
changeset
|
4095 |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4096 for (octave_idx_type j = 1; j < n-1; j++) |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4097 for (octave_idx_type i = 0; i < m; i++) |
|
9658
3429c956de6f
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Jaroslav Hajek <highegg@gmail.com>
parents:
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diff
changeset
|
4098 retval(i, j) = x1(i) + static_cast<double> (j)*delta[i]; |
|
9653
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
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diff
changeset
|
4099 |
|
e087d7c77ff9
improve linspace in liboctave
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parents:
9601
diff
changeset
|
4100 for (octave_idx_type i = 0; i < m; i++) |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
4101 retval(i, n-1) = x2(i); |
|
e087d7c77ff9
improve linspace in liboctave
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parents:
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diff
changeset
|
4102 |
|
e087d7c77ff9
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parents:
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diff
changeset
|
4103 return retval; |
|
e087d7c77ff9
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parents:
9601
diff
changeset
|
4104 } |
|
e087d7c77ff9
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parents:
9601
diff
changeset
|
4105 |
|
9578
7dafdb8b062f
refactor comparison ops implementations
Jaroslav Hajek <highegg@gmail.com>
parents:
9553
diff
changeset
|
4106 MS_CMP_OPS (ComplexMatrix, Complex) |
|
9550
3d6a9aea2aea
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Jaroslav Hajek <highegg@gmail.com>
parents:
9528
diff
changeset
|
4107 MS_BOOL_OPS (ComplexMatrix, Complex) |
| 2870 | 4108 |
|
9578
7dafdb8b062f
refactor comparison ops implementations
Jaroslav Hajek <highegg@gmail.com>
parents:
9553
diff
changeset
|
4109 SM_CMP_OPS (Complex, ComplexMatrix) |
|
9550
3d6a9aea2aea
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Jaroslav Hajek <highegg@gmail.com>
parents:
9528
diff
changeset
|
4110 SM_BOOL_OPS (Complex, ComplexMatrix) |
| 2870 | 4111 |
|
9578
7dafdb8b062f
refactor comparison ops implementations
Jaroslav Hajek <highegg@gmail.com>
parents:
9553
diff
changeset
|
4112 MM_CMP_OPS (ComplexMatrix, ComplexMatrix) |
|
9550
3d6a9aea2aea
refactor binary & bool ops in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9528
diff
changeset
|
4113 MM_BOOL_OPS (ComplexMatrix, ComplexMatrix) |
| 2870 | 4114 |
| 458 | 4115 /* |
| 4116 ;;; Local Variables: *** | |
| 4117 ;;; mode: C++ *** | |
| 4118 ;;; End: *** | |
| 4119 */ |