Mercurial > octave-libgccjit
annotate liboctave/dMatrix.cc @ 8736:53b4fdeacc2e
improve reduction functions
| author | Jaroslav Hajek <highegg@gmail.com> |
|---|---|
| date | Fri, 13 Feb 2009 21:04:50 +0100 |
| parents | a1ae2aae903e |
| children | 1bd918cfb6e2 |
| rev | line source |
|---|---|
| 1993 | 1 // Matrix manipulations. |
| 458 | 2 /* |
| 3 | |
| 7017 | 4 Copyright (C) 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002, |
| 5 2003, 2004, 2005, 2006, 2007 John W. Eaton | |
| 7803 | 6 Copyright (C) 2008 Jaroslav Hajek |
| 458 | 7 |
| 8 This file is part of Octave. | |
| 9 | |
| 10 Octave is free software; you can redistribute it and/or modify it | |
| 11 under the terms of the GNU General Public License as published by the | |
| 7016 | 12 Free Software Foundation; either version 3 of the License, or (at your |
| 13 option) any later version. | |
| 458 | 14 |
| 15 Octave is distributed in the hope that it will be useful, but WITHOUT | |
| 16 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or | |
| 17 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License | |
| 18 for more details. | |
| 19 | |
| 20 You should have received a copy of the GNU General Public License | |
| 7016 | 21 along with Octave; see the file COPYING. If not, see |
| 22 <http://www.gnu.org/licenses/>. | |
| 458 | 23 |
| 24 */ | |
| 25 | |
| 26 #ifdef HAVE_CONFIG_H | |
| 1192 | 27 #include <config.h> |
| 458 | 28 #endif |
| 29 | |
| 1367 | 30 #include <cfloat> |
| 31 | |
| 3503 | 32 #include <iostream> |
| 6209 | 33 #include <vector> |
| 1367 | 34 |
| 4669 | 35 #include "Array-util.h" |
| 2317 | 36 #include "byte-swap.h" |
| 2828 | 37 #include "dMatrix.h" |
| 1819 | 38 #include "dbleAEPBAL.h" |
| 8335 | 39 #include "DET.h" |
| 1819 | 40 #include "dbleSCHUR.h" |
| 740 | 41 #include "dbleSVD.h" |
| 6207 | 42 #include "dbleCHOL.h" |
| 1847 | 43 #include "f77-fcn.h" |
|
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44 #include "functor.h" |
| 458 | 45 #include "lo-error.h" |
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46 #include "oct-locbuf.h" |
| 2354 | 47 #include "lo-ieee.h" |
| 48 #include "lo-mappers.h" | |
| 1968 | 49 #include "lo-utils.h" |
| 1367 | 50 #include "mx-base.h" |
| 2828 | 51 #include "mx-m-dm.h" |
| 3176 | 52 #include "mx-dm-m.h" |
| 1367 | 53 #include "mx-inlines.cc" |
| 1650 | 54 #include "oct-cmplx.h" |
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55 #include "oct-norm.h" |
| 4153 | 56 #include "quit.h" |
| 458 | 57 |
| 4773 | 58 #if defined (HAVE_FFTW3) |
| 3827 | 59 #include "oct-fftw.h" |
| 60 #endif | |
| 61 | |
| 458 | 62 // Fortran functions we call. |
| 63 | |
| 64 extern "C" | |
| 65 { | |
| 7478 | 66 F77_RET_T |
| 7477 | 67 F77_FUNC (xilaenv, XILAENV) (const octave_idx_type&, F77_CONST_CHAR_ARG_DECL, |
| 68 F77_CONST_CHAR_ARG_DECL, | |
| 69 const octave_idx_type&, const octave_idx_type&, | |
| 7478 | 70 const octave_idx_type&, const octave_idx_type&, |
| 71 octave_idx_type& | |
| 72 F77_CHAR_ARG_LEN_DECL F77_CHAR_ARG_LEN_DECL); | |
| 7476 | 73 |
| 4552 | 74 F77_RET_T |
| 75 F77_FUNC (dgebal, DGEBAL) (F77_CONST_CHAR_ARG_DECL, | |
| 5275 | 76 const octave_idx_type&, double*, const octave_idx_type&, octave_idx_type&, |
| 77 octave_idx_type&, double*, octave_idx_type& | |
| 4552 | 78 F77_CHAR_ARG_LEN_DECL); |
| 79 | |
| 80 F77_RET_T | |
| 81 F77_FUNC (dgebak, DGEBAK) (F77_CONST_CHAR_ARG_DECL, | |
| 82 F77_CONST_CHAR_ARG_DECL, | |
| 5275 | 83 const octave_idx_type&, const octave_idx_type&, const octave_idx_type&, double*, |
| 84 const octave_idx_type&, double*, const octave_idx_type&, octave_idx_type& | |
| 4552 | 85 F77_CHAR_ARG_LEN_DECL |
| 86 F77_CHAR_ARG_LEN_DECL); | |
| 87 | |
| 88 | |
| 89 F77_RET_T | |
| 90 F77_FUNC (dgemm, DGEMM) (F77_CONST_CHAR_ARG_DECL, | |
| 91 F77_CONST_CHAR_ARG_DECL, | |
| 5275 | 92 const octave_idx_type&, const octave_idx_type&, const octave_idx_type&, |
| 93 const double&, const double*, const octave_idx_type&, | |
| 94 const double*, const octave_idx_type&, const double&, | |
| 95 double*, const octave_idx_type& | |
| 4552 | 96 F77_CHAR_ARG_LEN_DECL |
| 97 F77_CHAR_ARG_LEN_DECL); | |
| 98 | |
| 99 F77_RET_T | |
| 5983 | 100 F77_FUNC (dgemv, DGEMV) (F77_CONST_CHAR_ARG_DECL, |
| 101 const octave_idx_type&, const octave_idx_type&, const double&, | |
| 102 const double*, const octave_idx_type&, const double*, | |
| 103 const octave_idx_type&, const double&, double*, | |
| 104 const octave_idx_type& | |
| 105 F77_CHAR_ARG_LEN_DECL); | |
| 106 | |
| 107 F77_RET_T | |
| 108 F77_FUNC (xddot, XDDOT) (const octave_idx_type&, const double*, const octave_idx_type&, | |
| 109 const double*, const octave_idx_type&, double&); | |
| 110 | |
| 111 F77_RET_T | |
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112 F77_FUNC (dsyrk, DSYRK) (F77_CONST_CHAR_ARG_DECL, |
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113 F77_CONST_CHAR_ARG_DECL, |
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114 const octave_idx_type&, const octave_idx_type&, |
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115 const double&, const double*, const octave_idx_type&, |
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116 const double&, double*, const octave_idx_type& |
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117 F77_CHAR_ARG_LEN_DECL |
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118 F77_CHAR_ARG_LEN_DECL); |
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119 |
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120 F77_RET_T |
| 5275 | 121 F77_FUNC (dgetrf, DGETRF) (const octave_idx_type&, const octave_idx_type&, double*, const octave_idx_type&, |
| 122 octave_idx_type*, octave_idx_type&); | |
| 4329 | 123 |
| 4552 | 124 F77_RET_T |
| 5275 | 125 F77_FUNC (dgetrs, DGETRS) (F77_CONST_CHAR_ARG_DECL, const octave_idx_type&, const octave_idx_type&, |
| 126 const double*, const octave_idx_type&, | |
| 127 const octave_idx_type*, double*, const octave_idx_type&, octave_idx_type& | |
| 4552 | 128 F77_CHAR_ARG_LEN_DECL); |
| 129 | |
| 130 F77_RET_T | |
| 5275 | 131 F77_FUNC (dgetri, DGETRI) (const octave_idx_type&, double*, const octave_idx_type&, const octave_idx_type*, |
| 132 double*, const octave_idx_type&, octave_idx_type&); | |
| 4552 | 133 |
| 134 F77_RET_T | |
| 5275 | 135 F77_FUNC (dgecon, DGECON) (F77_CONST_CHAR_ARG_DECL, const octave_idx_type&, double*, |
| 136 const octave_idx_type&, const double&, double&, | |
| 137 double*, octave_idx_type*, octave_idx_type& | |
| 4552 | 138 F77_CHAR_ARG_LEN_DECL); |
| 139 | |
| 140 F77_RET_T | |
| 7072 | 141 F77_FUNC (dgelsy, DGELSY) (const octave_idx_type&, const octave_idx_type&, const octave_idx_type&, |
| 142 double*, const octave_idx_type&, double*, | |
| 143 const octave_idx_type&, octave_idx_type*, double&, octave_idx_type&, | |
| 144 double*, const octave_idx_type&, octave_idx_type&); | |
| 145 | |
| 146 F77_RET_T | |
| 147 F77_FUNC (dgelsd, DGELSD) (const octave_idx_type&, const octave_idx_type&, const octave_idx_type&, | |
| 5275 | 148 double*, const octave_idx_type&, double*, |
| 7071 | 149 const octave_idx_type&, double*, double&, octave_idx_type&, |
| 7072 | 150 double*, const octave_idx_type&, octave_idx_type*, |
| 151 octave_idx_type&); | |
| 458 | 152 |
| 5785 | 153 F77_RET_T |
| 154 F77_FUNC (dpotrf, DPOTRF) (F77_CONST_CHAR_ARG_DECL, const octave_idx_type&, | |
| 155 double *, const octave_idx_type&, | |
| 156 octave_idx_type& F77_CHAR_ARG_LEN_DECL); | |
| 157 | |
| 158 F77_RET_T | |
| 159 F77_FUNC (dpocon, DPOCON) (F77_CONST_CHAR_ARG_DECL, const octave_idx_type&, | |
| 160 double*, const octave_idx_type&, const double&, | |
| 161 double&, double*, octave_idx_type*, | |
| 162 octave_idx_type& F77_CHAR_ARG_LEN_DECL); | |
| 163 F77_RET_T | |
| 164 F77_FUNC (dpotrs, DPOTRS) (F77_CONST_CHAR_ARG_DECL, const octave_idx_type&, | |
| 165 const octave_idx_type&, const double*, | |
| 166 const octave_idx_type&, double*, | |
| 167 const octave_idx_type&, octave_idx_type& | |
| 168 F77_CHAR_ARG_LEN_DECL); | |
| 169 | |
| 170 F77_RET_T | |
| 6207 | 171 F77_FUNC (dtrtri, DTRTRI) (F77_CONST_CHAR_ARG_DECL, F77_CONST_CHAR_ARG_DECL, |
| 172 const octave_idx_type&, const double*, | |
| 173 const octave_idx_type&, octave_idx_type& | |
| 174 F77_CHAR_ARG_LEN_DECL | |
| 175 F77_CHAR_ARG_LEN_DECL); | |
| 176 F77_RET_T | |
| 5785 | 177 F77_FUNC (dtrcon, DTRCON) (F77_CONST_CHAR_ARG_DECL, F77_CONST_CHAR_ARG_DECL, |
| 178 F77_CONST_CHAR_ARG_DECL, const octave_idx_type&, | |
| 179 const double*, const octave_idx_type&, double&, | |
| 180 double*, octave_idx_type*, octave_idx_type& | |
| 181 F77_CHAR_ARG_LEN_DECL | |
| 182 F77_CHAR_ARG_LEN_DECL | |
| 183 F77_CHAR_ARG_LEN_DECL); | |
| 184 F77_RET_T | |
| 185 F77_FUNC (dtrtrs, DTRTRS) (F77_CONST_CHAR_ARG_DECL, F77_CONST_CHAR_ARG_DECL, | |
| 186 F77_CONST_CHAR_ARG_DECL, const octave_idx_type&, | |
| 187 const octave_idx_type&, const double*, | |
| 188 const octave_idx_type&, double*, | |
| 189 const octave_idx_type&, octave_idx_type& | |
| 190 F77_CHAR_ARG_LEN_DECL | |
| 191 F77_CHAR_ARG_LEN_DECL | |
| 192 F77_CHAR_ARG_LEN_DECL); | |
| 193 | |
| 1360 | 194 // Note that the original complex fft routines were not written for |
| 195 // double complex arguments. They have been modified by adding an | |
| 196 // implicit double precision (a-h,o-z) statement at the beginning of | |
| 197 // each subroutine. | |
| 458 | 198 |
| 4552 | 199 F77_RET_T |
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200 F77_FUNC (zffti, ZFFTI) (const octave_idx_type&, Complex*); |
| 4552 | 201 |
| 202 F77_RET_T | |
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203 F77_FUNC (zfftf, ZFFTF) (const octave_idx_type&, Complex*, Complex*); |
| 4552 | 204 |
| 205 F77_RET_T | |
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206 F77_FUNC (zfftb, ZFFTB) (const octave_idx_type&, Complex*, Complex*); |
| 4552 | 207 |
| 208 F77_RET_T | |
| 209 F77_FUNC (dlartg, DLARTG) (const double&, const double&, double&, | |
| 210 double&, double&); | |
| 211 | |
| 212 F77_RET_T | |
| 213 F77_FUNC (dtrsyl, DTRSYL) (F77_CONST_CHAR_ARG_DECL, | |
| 214 F77_CONST_CHAR_ARG_DECL, | |
| 5275 | 215 const octave_idx_type&, const octave_idx_type&, const octave_idx_type&, |
| 216 const double*, const octave_idx_type&, const double*, | |
| 217 const octave_idx_type&, const double*, const octave_idx_type&, | |
| 218 double&, octave_idx_type& | |
| 4552 | 219 F77_CHAR_ARG_LEN_DECL |
| 220 F77_CHAR_ARG_LEN_DECL); | |
| 221 | |
| 222 F77_RET_T | |
| 5275 | 223 F77_FUNC (xdlange, XDLANGE) (F77_CONST_CHAR_ARG_DECL, const octave_idx_type&, |
| 224 const octave_idx_type&, const double*, | |
| 225 const octave_idx_type&, double*, double& | |
| 4552 | 226 F77_CHAR_ARG_LEN_DECL); |
| 458 | 227 } |
| 228 | |
| 1360 | 229 // Matrix class. |
| 458 | 230 |
| 2349 | 231 Matrix::Matrix (const RowVector& rv) |
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232 : MArray2<double> (Array2<double> (rv, 1, rv.length ())) |
| 2349 | 233 { |
| 234 } | |
| 235 | |
| 236 Matrix::Matrix (const ColumnVector& cv) | |
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237 : MArray2<double> (Array2<double> (cv, cv.length (), 1)) |
| 2349 | 238 { |
| 239 } | |
| 240 | |
| 458 | 241 Matrix::Matrix (const DiagMatrix& a) |
| 1214 | 242 : MArray2<double> (a.rows (), a.cols (), 0.0) |
| 458 | 243 { |
| 5275 | 244 for (octave_idx_type i = 0; i < a.length (); i++) |
| 458 | 245 elem (i, i) = a.elem (i, i); |
| 246 } | |
| 247 | |
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248 Matrix::Matrix (const PermMatrix& a) |
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249 : MArray2<double> (a.rows (), a.cols (), 0.0) |
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250 { |
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251 const Array<octave_idx_type> ia (a.pvec ()); |
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252 octave_idx_type len = a.rows (); |
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253 if (a.is_col_perm ()) |
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254 for (octave_idx_type i = 0; i < len; i++) |
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255 elem (ia(i), i) = 1.0; |
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256 else |
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257 for (octave_idx_type i = 0; i < len; i++) |
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258 elem (i, ia(i)) = 1.0; |
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259 } |
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260 |
| 5775 | 261 // FIXME -- could we use a templated mixed-type copy function |
| 1574 | 262 // here? |
| 263 | |
| 2828 | 264 Matrix::Matrix (const boolMatrix& a) |
| 265 : MArray2<double> (a.rows (), a.cols ()) | |
| 266 { | |
| 5275 | 267 for (octave_idx_type i = 0; i < a.rows (); i++) |
| 268 for (octave_idx_type j = 0; j < a.cols (); j++) | |
| 2828 | 269 elem (i, j) = a.elem (i, j); |
| 270 } | |
| 271 | |
| 1574 | 272 Matrix::Matrix (const charMatrix& a) |
| 273 : MArray2<double> (a.rows (), a.cols ()) | |
| 274 { | |
| 5275 | 275 for (octave_idx_type i = 0; i < a.rows (); i++) |
| 276 for (octave_idx_type j = 0; j < a.cols (); j++) | |
| 1574 | 277 elem (i, j) = a.elem (i, j); |
| 278 } | |
| 279 | |
| 2385 | 280 bool |
| 458 | 281 Matrix::operator == (const Matrix& a) const |
| 282 { | |
| 283 if (rows () != a.rows () || cols () != a.cols ()) | |
| 2385 | 284 return false; |
| 458 | 285 |
| 3769 | 286 return mx_inline_equal (data (), a.data (), length ()); |
| 458 | 287 } |
| 288 | |
| 2385 | 289 bool |
| 458 | 290 Matrix::operator != (const Matrix& a) const |
| 291 { | |
| 292 return !(*this == a); | |
| 293 } | |
| 294 | |
| 3354 | 295 bool |
| 296 Matrix::is_symmetric (void) const | |
| 297 { | |
| 298 if (is_square () && rows () > 0) | |
| 299 { | |
| 5275 | 300 for (octave_idx_type i = 0; i < rows (); i++) |
| 301 for (octave_idx_type j = i+1; j < cols (); j++) | |
| 3354 | 302 if (elem (i, j) != elem (j, i)) |
| 303 return false; | |
| 304 | |
| 305 return true; | |
| 306 } | |
| 307 | |
| 308 return false; | |
| 309 } | |
| 310 | |
| 458 | 311 Matrix& |
| 5275 | 312 Matrix::insert (const Matrix& a, octave_idx_type r, octave_idx_type c) |
| 458 | 313 { |
| 1561 | 314 Array2<double>::insert (a, r, c); |
| 458 | 315 return *this; |
| 316 } | |
| 317 | |
| 318 Matrix& | |
| 5275 | 319 Matrix::insert (const RowVector& a, octave_idx_type r, octave_idx_type c) |
| 458 | 320 { |
| 5275 | 321 octave_idx_type a_len = a.length (); |
| 4316 | 322 |
| 1698 | 323 if (r < 0 || r >= rows () || c < 0 || c + a_len > cols ()) |
| 458 | 324 { |
| 325 (*current_liboctave_error_handler) ("range error for insert"); | |
| 326 return *this; | |
| 327 } | |
| 328 | |
| 4316 | 329 if (a_len > 0) |
| 330 { | |
| 331 make_unique (); | |
| 332 | |
| 5275 | 333 for (octave_idx_type i = 0; i < a_len; i++) |
| 4316 | 334 xelem (r, c+i) = a.elem (i); |
| 335 } | |
| 458 | 336 |
| 337 return *this; | |
| 338 } | |
| 339 | |
| 340 Matrix& | |
| 5275 | 341 Matrix::insert (const ColumnVector& a, octave_idx_type r, octave_idx_type c) |
| 458 | 342 { |
| 5275 | 343 octave_idx_type a_len = a.length (); |
| 4316 | 344 |
| 1698 | 345 if (r < 0 || r + a_len > rows () || c < 0 || c >= cols ()) |
| 458 | 346 { |
| 347 (*current_liboctave_error_handler) ("range error for insert"); | |
| 348 return *this; | |
| 349 } | |
| 350 | |
| 4316 | 351 if (a_len > 0) |
| 352 { | |
| 353 make_unique (); | |
| 354 | |
| 5275 | 355 for (octave_idx_type i = 0; i < a_len; i++) |
| 4316 | 356 xelem (r+i, c) = a.elem (i); |
| 357 } | |
| 458 | 358 |
| 359 return *this; | |
| 360 } | |
| 361 | |
| 362 Matrix& | |
| 5275 | 363 Matrix::insert (const DiagMatrix& a, octave_idx_type r, octave_idx_type c) |
| 458 | 364 { |
| 5275 | 365 octave_idx_type a_nr = a.rows (); |
| 366 octave_idx_type a_nc = a.cols (); | |
| 1697 | 367 |
| 1698 | 368 if (r < 0 || r + a_nr > rows () || c < 0 || c + a_nc > cols ()) |
| 458 | 369 { |
| 370 (*current_liboctave_error_handler) ("range error for insert"); | |
| 371 return *this; | |
| 372 } | |
| 373 | |
| 1697 | 374 fill (0.0, r, c, r + a_nr - 1, c + a_nc - 1); |
| 375 | |
| 5275 | 376 octave_idx_type a_len = a.length (); |
| 4316 | 377 |
| 378 if (a_len > 0) | |
| 379 { | |
| 380 make_unique (); | |
| 381 | |
| 5275 | 382 for (octave_idx_type i = 0; i < a_len; i++) |
| 4316 | 383 xelem (r+i, c+i) = a.elem (i, i); |
| 384 } | |
| 458 | 385 |
| 386 return *this; | |
| 387 } | |
| 388 | |
| 389 Matrix& | |
| 390 Matrix::fill (double val) | |
| 391 { | |
| 5275 | 392 octave_idx_type nr = rows (); |
| 393 octave_idx_type nc = cols (); | |
| 4316 | 394 |
| 458 | 395 if (nr > 0 && nc > 0) |
| 4316 | 396 { |
| 397 make_unique (); | |
| 398 | |
| 5275 | 399 for (octave_idx_type j = 0; j < nc; j++) |
| 400 for (octave_idx_type i = 0; i < nr; i++) | |
| 4316 | 401 xelem (i, j) = val; |
| 402 } | |
| 458 | 403 |
| 404 return *this; | |
| 405 } | |
| 406 | |
| 407 Matrix& | |
| 5275 | 408 Matrix::fill (double val, octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2) |
| 458 | 409 { |
| 5275 | 410 octave_idx_type nr = rows (); |
| 411 octave_idx_type nc = cols (); | |
| 4316 | 412 |
| 458 | 413 if (r1 < 0 || r2 < 0 || c1 < 0 || c2 < 0 |
| 414 || r1 >= nr || r2 >= nr || c1 >= nc || c2 >= nc) | |
| 415 { | |
| 416 (*current_liboctave_error_handler) ("range error for fill"); | |
| 417 return *this; | |
| 418 } | |
| 419 | |
| 5275 | 420 if (r1 > r2) { octave_idx_type tmp = r1; r1 = r2; r2 = tmp; } |
| 421 if (c1 > c2) { octave_idx_type tmp = c1; c1 = c2; c2 = tmp; } | |
| 458 | 422 |
| 4316 | 423 if (r2 >= r1 && c2 >= c1) |
| 424 { | |
| 425 make_unique (); | |
| 426 | |
| 5275 | 427 for (octave_idx_type j = c1; j <= c2; j++) |
| 428 for (octave_idx_type i = r1; i <= r2; i++) | |
| 4316 | 429 xelem (i, j) = val; |
| 430 } | |
| 458 | 431 |
| 432 return *this; | |
| 433 } | |
| 434 | |
| 435 Matrix | |
| 436 Matrix::append (const Matrix& a) const | |
| 437 { | |
| 5275 | 438 octave_idx_type nr = rows (); |
| 439 octave_idx_type nc = cols (); | |
| 458 | 440 if (nr != a.rows ()) |
| 441 { | |
| 442 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 443 return Matrix (); | |
| 444 } | |
| 445 | |
| 5275 | 446 octave_idx_type nc_insert = nc; |
| 458 | 447 Matrix retval (nr, nc + a.cols ()); |
| 448 retval.insert (*this, 0, 0); | |
| 449 retval.insert (a, 0, nc_insert); | |
| 450 return retval; | |
| 451 } | |
| 452 | |
| 453 Matrix | |
| 454 Matrix::append (const RowVector& a) const | |
| 455 { | |
| 5275 | 456 octave_idx_type nr = rows (); |
| 457 octave_idx_type nc = cols (); | |
| 458 | 458 if (nr != 1) |
| 459 { | |
| 460 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 461 return Matrix (); | |
| 462 } | |
| 463 | |
| 5275 | 464 octave_idx_type nc_insert = nc; |
| 458 | 465 Matrix retval (nr, nc + a.length ()); |
| 466 retval.insert (*this, 0, 0); | |
| 467 retval.insert (a, 0, nc_insert); | |
| 468 return retval; | |
| 469 } | |
| 470 | |
| 471 Matrix | |
| 472 Matrix::append (const ColumnVector& a) const | |
| 473 { | |
| 5275 | 474 octave_idx_type nr = rows (); |
| 475 octave_idx_type nc = cols (); | |
| 458 | 476 if (nr != a.length ()) |
| 477 { | |
| 478 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 479 return Matrix (); | |
| 480 } | |
| 481 | |
| 5275 | 482 octave_idx_type nc_insert = nc; |
| 458 | 483 Matrix retval (nr, nc + 1); |
| 484 retval.insert (*this, 0, 0); | |
| 485 retval.insert (a, 0, nc_insert); | |
| 486 return retval; | |
| 487 } | |
| 488 | |
| 489 Matrix | |
| 490 Matrix::append (const DiagMatrix& a) const | |
| 491 { | |
| 5275 | 492 octave_idx_type nr = rows (); |
| 493 octave_idx_type nc = cols (); | |
| 458 | 494 if (nr != a.rows ()) |
| 495 { | |
| 496 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 497 return *this; | |
| 498 } | |
| 499 | |
| 5275 | 500 octave_idx_type nc_insert = nc; |
| 458 | 501 Matrix retval (nr, nc + a.cols ()); |
| 502 retval.insert (*this, 0, 0); | |
| 503 retval.insert (a, 0, nc_insert); | |
| 504 return retval; | |
| 505 } | |
| 506 | |
| 507 Matrix | |
| 508 Matrix::stack (const Matrix& a) const | |
| 509 { | |
| 5275 | 510 octave_idx_type nr = rows (); |
| 511 octave_idx_type nc = cols (); | |
| 458 | 512 if (nc != a.cols ()) |
| 513 { | |
| 514 (*current_liboctave_error_handler) | |
| 515 ("column dimension mismatch for stack"); | |
| 516 return Matrix (); | |
| 517 } | |
| 518 | |
| 5275 | 519 octave_idx_type nr_insert = nr; |
| 458 | 520 Matrix retval (nr + a.rows (), nc); |
| 521 retval.insert (*this, 0, 0); | |
| 522 retval.insert (a, nr_insert, 0); | |
| 523 return retval; | |
| 524 } | |
| 525 | |
| 526 Matrix | |
| 527 Matrix::stack (const RowVector& a) const | |
| 528 { | |
| 5275 | 529 octave_idx_type nr = rows (); |
| 530 octave_idx_type nc = cols (); | |
| 458 | 531 if (nc != a.length ()) |
| 532 { | |
| 533 (*current_liboctave_error_handler) | |
| 534 ("column dimension mismatch for stack"); | |
| 535 return Matrix (); | |
| 536 } | |
| 537 | |
| 5275 | 538 octave_idx_type nr_insert = nr; |
| 458 | 539 Matrix retval (nr + 1, nc); |
| 540 retval.insert (*this, 0, 0); | |
| 541 retval.insert (a, nr_insert, 0); | |
| 542 return retval; | |
| 543 } | |
| 544 | |
| 545 Matrix | |
| 546 Matrix::stack (const ColumnVector& a) const | |
| 547 { | |
| 5275 | 548 octave_idx_type nr = rows (); |
| 549 octave_idx_type nc = cols (); | |
| 458 | 550 if (nc != 1) |
| 551 { | |
| 552 (*current_liboctave_error_handler) | |
| 553 ("column dimension mismatch for stack"); | |
| 554 return Matrix (); | |
| 555 } | |
| 556 | |
| 5275 | 557 octave_idx_type nr_insert = nr; |
| 458 | 558 Matrix retval (nr + a.length (), nc); |
| 559 retval.insert (*this, 0, 0); | |
| 560 retval.insert (a, nr_insert, 0); | |
| 561 return retval; | |
| 562 } | |
| 563 | |
| 564 Matrix | |
| 565 Matrix::stack (const DiagMatrix& a) const | |
| 566 { | |
| 5275 | 567 octave_idx_type nr = rows (); |
| 568 octave_idx_type nc = cols (); | |
| 458 | 569 if (nc != a.cols ()) |
| 570 { | |
| 571 (*current_liboctave_error_handler) | |
| 572 ("column dimension mismatch for stack"); | |
| 573 return Matrix (); | |
| 574 } | |
| 575 | |
| 5275 | 576 octave_idx_type nr_insert = nr; |
| 458 | 577 Matrix retval (nr + a.rows (), nc); |
| 578 retval.insert (*this, 0, 0); | |
| 579 retval.insert (a, nr_insert, 0); | |
| 580 return retval; | |
| 581 } | |
| 582 | |
| 583 Matrix | |
| 1205 | 584 real (const ComplexMatrix& a) |
| 585 { | |
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586 return Matrix (mx_inline_real_dup (a.data (), a.length ()), |
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587 a.rows (), a.cols ()); |
| 1205 | 588 } |
| 589 | |
| 590 Matrix | |
| 591 imag (const ComplexMatrix& a) | |
| 592 { | |
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593 return Matrix (mx_inline_imag_dup (a.data (), a.length ()), |
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594 a.rows (), a.cols ()); |
| 1205 | 595 } |
| 596 | |
| 597 Matrix | |
| 5275 | 598 Matrix::extract (octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2) const |
| 458 | 599 { |
| 5275 | 600 if (r1 > r2) { octave_idx_type tmp = r1; r1 = r2; r2 = tmp; } |
| 601 if (c1 > c2) { octave_idx_type tmp = c1; c1 = c2; c2 = tmp; } | |
| 602 | |
| 603 octave_idx_type new_r = r2 - r1 + 1; | |
| 604 octave_idx_type new_c = c2 - c1 + 1; | |
| 458 | 605 |
| 606 Matrix result (new_r, new_c); | |
| 607 | |
| 5275 | 608 for (octave_idx_type j = 0; j < new_c; j++) |
| 609 for (octave_idx_type i = 0; i < new_r; i++) | |
| 4316 | 610 result.xelem (i, j) = elem (r1+i, c1+j); |
| 611 | |
| 612 return result; | |
| 613 } | |
| 614 | |
| 615 Matrix | |
| 5275 | 616 Matrix::extract_n (octave_idx_type r1, octave_idx_type c1, octave_idx_type nr, octave_idx_type nc) const |
| 4316 | 617 { |
| 618 Matrix result (nr, nc); | |
| 619 | |
| 5275 | 620 for (octave_idx_type j = 0; j < nc; j++) |
| 621 for (octave_idx_type i = 0; i < nr; i++) | |
| 4316 | 622 result.xelem (i, j) = elem (r1+i, c1+j); |
| 458 | 623 |
| 624 return result; | |
| 625 } | |
| 626 | |
| 627 // extract row or column i. | |
| 628 | |
| 629 RowVector | |
| 5275 | 630 Matrix::row (octave_idx_type i) const |
| 458 | 631 { |
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632 return MArray<double> (index (idx_vector (i), idx_vector::colon)); |
| 458 | 633 } |
| 634 | |
| 635 ColumnVector | |
| 5275 | 636 Matrix::column (octave_idx_type i) const |
| 458 | 637 { |
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638 return MArray<double> (index (idx_vector::colon, idx_vector (i))); |
| 458 | 639 } |
| 640 | |
| 641 Matrix | |
| 642 Matrix::inverse (void) const | |
| 643 { | |
| 5275 | 644 octave_idx_type info; |
| 7788 | 645 double rcon; |
| 6207 | 646 MatrixType mattype (*this); |
| 7788 | 647 return inverse (mattype, info, rcon, 0, 0); |
| 6207 | 648 } |
| 649 | |
| 650 Matrix | |
| 6479 | 651 Matrix::inverse (octave_idx_type& info) const |
| 652 { | |
| 7788 | 653 double rcon; |
| 6479 | 654 MatrixType mattype (*this); |
| 7788 | 655 return inverse (mattype, info, rcon, 0, 0); |
| 6479 | 656 } |
| 657 | |
| 658 Matrix | |
| 7788 | 659 Matrix::inverse (octave_idx_type& info, double& rcon, int force, |
| 6479 | 660 int calc_cond) const |
| 661 { | |
| 662 MatrixType mattype (*this); | |
| 7788 | 663 return inverse (mattype, info, rcon, force, calc_cond); |
| 6479 | 664 } |
| 665 | |
| 666 Matrix | |
| 6207 | 667 Matrix::inverse (MatrixType& mattype) const |
| 668 { | |
| 669 octave_idx_type info; | |
| 7788 | 670 double rcon; |
| 671 return inverse (mattype, info, rcon, 0, 0); | |
| 6207 | 672 } |
| 673 | |
| 674 Matrix | |
| 675 Matrix::inverse (MatrixType &mattype, octave_idx_type& info) const | |
| 676 { | |
| 7788 | 677 double rcon; |
| 678 return inverse (mattype, info, rcon, 0, 0); | |
| 458 | 679 } |
| 680 | |
| 681 Matrix | |
| 7788 | 682 Matrix::tinverse (MatrixType &mattype, octave_idx_type& info, double& rcon, |
| 6207 | 683 int force, int calc_cond) const |
| 458 | 684 { |
| 6207 | 685 Matrix retval; |
| 686 | |
| 687 octave_idx_type nr = rows (); | |
| 688 octave_idx_type nc = cols (); | |
| 689 | |
| 690 if (nr != nc || nr == 0 || nc == 0) | |
| 691 (*current_liboctave_error_handler) ("inverse requires square matrix"); | |
| 692 else | |
| 693 { | |
| 694 int typ = mattype.type (); | |
| 695 char uplo = (typ == MatrixType::Lower ? 'L' : 'U'); | |
| 696 char udiag = 'N'; | |
| 697 retval = *this; | |
| 698 double *tmp_data = retval.fortran_vec (); | |
| 699 | |
| 700 F77_XFCN (dtrtri, DTRTRI, (F77_CONST_CHAR_ARG2 (&uplo, 1), | |
| 701 F77_CONST_CHAR_ARG2 (&udiag, 1), | |
| 702 nr, tmp_data, nr, info | |
| 703 F77_CHAR_ARG_LEN (1) | |
| 704 F77_CHAR_ARG_LEN (1))); | |
| 705 | |
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706 // Throw-away extra info LAPACK gives so as to not change output. |
| 7788 | 707 rcon = 0.0; |
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708 if (info != 0) |
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709 info = -1; |
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710 else if (calc_cond) |
| 6207 | 711 { |
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712 octave_idx_type dtrcon_info = 0; |
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713 char job = '1'; |
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714 |
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715 OCTAVE_LOCAL_BUFFER (double, work, 3 * nr); |
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716 OCTAVE_LOCAL_BUFFER (octave_idx_type, iwork, nr); |
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717 |
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718 F77_XFCN (dtrcon, DTRCON, (F77_CONST_CHAR_ARG2 (&job, 1), |
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719 F77_CONST_CHAR_ARG2 (&uplo, 1), |
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720 F77_CONST_CHAR_ARG2 (&udiag, 1), |
| 7788 | 721 nr, tmp_data, nr, rcon, |
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722 work, iwork, dtrcon_info |
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723 F77_CHAR_ARG_LEN (1) |
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724 F77_CHAR_ARG_LEN (1) |
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725 F77_CHAR_ARG_LEN (1))); |
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726 |
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727 if (dtrcon_info != 0) |
| 6207 | 728 info = -1; |
| 729 } | |
| 730 | |
| 731 if (info == -1 && ! force) | |
| 732 retval = *this; // Restore matrix contents. | |
| 733 } | |
| 734 | |
| 735 return retval; | |
| 458 | 736 } |
| 737 | |
| 6207 | 738 |
| 458 | 739 Matrix |
| 7788 | 740 Matrix::finverse (MatrixType &mattype, octave_idx_type& info, double& rcon, |
| 6207 | 741 int force, int calc_cond) const |
| 458 | 742 { |
| 1948 | 743 Matrix retval; |
| 744 | |
| 5275 | 745 octave_idx_type nr = rows (); |
| 746 octave_idx_type nc = cols (); | |
| 1948 | 747 |
| 458 | 748 if (nr != nc || nr == 0 || nc == 0) |
| 1948 | 749 (*current_liboctave_error_handler) ("inverse requires square matrix"); |
| 458 | 750 else |
| 751 { | |
| 5275 | 752 Array<octave_idx_type> ipvt (nr); |
| 753 octave_idx_type *pipvt = ipvt.fortran_vec (); | |
| 1948 | 754 |
| 755 retval = *this; | |
| 756 double *tmp_data = retval.fortran_vec (); | |
| 757 | |
| 4329 | 758 Array<double> z(1); |
| 5275 | 759 octave_idx_type lwork = -1; |
| 4329 | 760 |
| 4330 | 761 // Query the optimum work array size. |
| 4329 | 762 F77_XFCN (dgetri, DGETRI, (nc, tmp_data, nr, pipvt, |
| 763 z.fortran_vec (), lwork, info)); | |
| 764 | |
| 5275 | 765 lwork = static_cast<octave_idx_type> (z(0)); |
| 4329 | 766 lwork = (lwork < 2 *nc ? 2*nc : lwork); |
| 767 z.resize (lwork); | |
| 768 double *pz = z.fortran_vec (); | |
| 769 | |
| 770 info = 0; | |
| 771 | |
| 4330 | 772 // Calculate the norm of the matrix, for later use. |
| 4329 | 773 double anorm = 0; |
| 774 if (calc_cond) | |
| 5275 | 775 anorm = retval.abs().sum().row(static_cast<octave_idx_type>(0)).max(); |
| 4329 | 776 |
| 777 F77_XFCN (dgetrf, DGETRF, (nc, nc, tmp_data, nr, pipvt, info)); | |
| 1948 | 778 |
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779 // Throw-away extra info LAPACK gives so as to not change output. |
| 7788 | 780 rcon = 0.0; |
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781 if (info != 0) |
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782 info = -1; |
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783 else if (calc_cond) |
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784 { |
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785 octave_idx_type dgecon_info = 0; |
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786 |
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787 // Now calculate the condition number for non-singular matrix. |
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788 char job = '1'; |
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789 Array<octave_idx_type> iz (nc); |
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790 octave_idx_type *piz = iz.fortran_vec (); |
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791 F77_XFCN (dgecon, DGECON, (F77_CONST_CHAR_ARG2 (&job, 1), |
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792 nc, tmp_data, nr, anorm, |
| 7788 | 793 rcon, pz, piz, dgecon_info |
|
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794 F77_CHAR_ARG_LEN (1))); |
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|
795 |
|
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|
796 if (dgecon_info != 0) |
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797 info = -1; |
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|
798 } |
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|
799 |
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|
800 if (info == -1 && ! force) |
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801 retval = *this; // Restore matrix contents. |
| 1948 | 802 else |
| 803 { | |
|
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804 octave_idx_type dgetri_info = 0; |
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|
805 |
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806 F77_XFCN (dgetri, DGETRI, (nc, tmp_data, nr, pipvt, |
|
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807 pz, lwork, dgetri_info)); |
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|
808 |
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|
809 if (dgetri_info != 0) |
| 1948 | 810 info = -1; |
| 811 } | |
| 6207 | 812 |
| 813 if (info != 0) | |
| 814 mattype.mark_as_rectangular(); | |
| 458 | 815 } |
| 816 | |
| 1948 | 817 return retval; |
| 458 | 818 } |
| 819 | |
| 740 | 820 Matrix |
| 7788 | 821 Matrix::inverse (MatrixType &mattype, octave_idx_type& info, double& rcon, |
| 6207 | 822 int force, int calc_cond) const |
| 823 { | |
| 824 int typ = mattype.type (false); | |
| 825 Matrix ret; | |
| 826 | |
| 827 if (typ == MatrixType::Unknown) | |
| 828 typ = mattype.type (*this); | |
| 829 | |
| 830 if (typ == MatrixType::Upper || typ == MatrixType::Lower) | |
| 7788 | 831 ret = tinverse (mattype, info, rcon, force, calc_cond); |
| 6840 | 832 else |
| 6207 | 833 { |
| 834 if (mattype.is_hermitian ()) | |
| 835 { | |
| 6486 | 836 CHOL chol (*this, info, calc_cond); |
| 6207 | 837 if (info == 0) |
| 6486 | 838 { |
| 839 if (calc_cond) | |
| 7788 | 840 rcon = chol.rcond (); |
| 6486 | 841 else |
| 7788 | 842 rcon = 1.0; |
| 6486 | 843 ret = chol.inverse (); |
| 844 } | |
| 6207 | 845 else |
| 846 mattype.mark_as_unsymmetric (); | |
| 847 } | |
| 848 | |
| 849 if (!mattype.is_hermitian ()) | |
| 7788 | 850 ret = finverse(mattype, info, rcon, force, calc_cond); |
| 851 | |
| 852 if ((mattype.is_hermitian () || calc_cond) && rcon == 0.) | |
| 6840 | 853 ret = Matrix (rows (), columns (), octave_Inf); |
| 6207 | 854 } |
| 855 | |
| 856 return ret; | |
| 857 } | |
| 858 | |
| 859 Matrix | |
| 4384 | 860 Matrix::pseudo_inverse (double tol) const |
| 740 | 861 { |
| 3480 | 862 SVD result (*this, SVD::economy); |
| 740 | 863 |
| 864 DiagMatrix S = result.singular_values (); | |
| 865 Matrix U = result.left_singular_matrix (); | |
| 866 Matrix V = result.right_singular_matrix (); | |
| 867 | |
| 868 ColumnVector sigma = S.diag (); | |
| 869 | |
| 5275 | 870 octave_idx_type r = sigma.length () - 1; |
| 871 octave_idx_type nr = rows (); | |
| 872 octave_idx_type nc = cols (); | |
| 740 | 873 |
| 874 if (tol <= 0.0) | |
| 875 { | |
| 876 if (nr > nc) | |
| 877 tol = nr * sigma.elem (0) * DBL_EPSILON; | |
| 878 else | |
| 879 tol = nc * sigma.elem (0) * DBL_EPSILON; | |
| 880 } | |
| 881 | |
| 882 while (r >= 0 && sigma.elem (r) < tol) | |
| 883 r--; | |
| 884 | |
| 885 if (r < 0) | |
| 886 return Matrix (nc, nr, 0.0); | |
| 887 else | |
| 888 { | |
| 889 Matrix Ur = U.extract (0, 0, nr-1, r); | |
| 890 DiagMatrix D = DiagMatrix (sigma.extract (0, r)) . inverse (); | |
| 891 Matrix Vr = V.extract (0, 0, nc-1, r); | |
| 892 return Vr * D * Ur.transpose (); | |
| 893 } | |
| 894 } | |
| 895 | |
| 4773 | 896 #if defined (HAVE_FFTW3) |
| 3827 | 897 |
| 898 ComplexMatrix | |
| 899 Matrix::fourier (void) const | |
| 900 { | |
| 901 size_t nr = rows (); | |
| 902 size_t nc = cols (); | |
| 903 | |
| 904 ComplexMatrix retval (nr, nc); | |
| 905 | |
| 906 size_t npts, nsamples; | |
| 907 | |
| 908 if (nr == 1 || nc == 1) | |
| 909 { | |
| 910 npts = nr > nc ? nr : nc; | |
| 911 nsamples = 1; | |
| 912 } | |
| 913 else | |
| 914 { | |
| 915 npts = nr; | |
| 916 nsamples = nc; | |
| 917 } | |
| 918 | |
| 4773 | 919 const double *in (fortran_vec ()); |
| 3827 | 920 Complex *out (retval.fortran_vec ()); |
| 921 | |
| 4773 | 922 octave_fftw::fft (in, out, npts, nsamples); |
| 3827 | 923 |
| 924 return retval; | |
| 925 } | |
| 926 | |
| 927 ComplexMatrix | |
| 928 Matrix::ifourier (void) const | |
| 929 { | |
| 930 size_t nr = rows (); | |
| 931 size_t nc = cols (); | |
| 932 | |
| 933 ComplexMatrix retval (nr, nc); | |
| 934 | |
| 935 size_t npts, nsamples; | |
| 936 | |
| 937 if (nr == 1 || nc == 1) | |
| 938 { | |
| 939 npts = nr > nc ? nr : nc; | |
| 940 nsamples = 1; | |
| 941 } | |
| 942 else | |
| 943 { | |
| 944 npts = nr; | |
| 945 nsamples = nc; | |
| 946 } | |
| 947 | |
| 948 ComplexMatrix tmp (*this); | |
| 949 Complex *in (tmp.fortran_vec ()); | |
| 950 Complex *out (retval.fortran_vec ()); | |
| 951 | |
| 4773 | 952 octave_fftw::ifft (in, out, npts, nsamples); |
| 3827 | 953 |
| 954 return retval; | |
| 955 } | |
| 956 | |
| 957 ComplexMatrix | |
| 958 Matrix::fourier2d (void) const | |
| 959 { | |
| 4773 | 960 dim_vector dv(rows (), cols ()); |
| 961 | |
| 962 const double *in = fortran_vec (); | |
| 963 ComplexMatrix retval (rows (), cols ()); | |
| 964 octave_fftw::fftNd (in, retval.fortran_vec (), 2, dv); | |
| 3827 | 965 |
| 966 return retval; | |
| 967 } | |
| 968 | |
| 969 ComplexMatrix | |
| 970 Matrix::ifourier2d (void) const | |
| 971 { | |
| 4773 | 972 dim_vector dv(rows (), cols ()); |
| 3827 | 973 |
| 974 ComplexMatrix retval (*this); | |
| 4773 | 975 Complex *out (retval.fortran_vec ()); |
| 976 | |
| 977 octave_fftw::ifftNd (out, out, 2, dv); | |
| 3827 | 978 |
| 979 return retval; | |
| 980 } | |
| 981 | |
| 982 #else | |
| 983 | |
| 458 | 984 ComplexMatrix |
| 985 Matrix::fourier (void) const | |
| 986 { | |
| 1948 | 987 ComplexMatrix retval; |
| 988 | |
| 5275 | 989 octave_idx_type nr = rows (); |
| 990 octave_idx_type nc = cols (); | |
| 991 | |
| 992 octave_idx_type npts, nsamples; | |
| 1948 | 993 |
| 458 | 994 if (nr == 1 || nc == 1) |
| 995 { | |
| 996 npts = nr > nc ? nr : nc; | |
| 997 nsamples = 1; | |
| 998 } | |
| 999 else | |
| 1000 { | |
| 1001 npts = nr; | |
| 1002 nsamples = nc; | |
| 1003 } | |
| 1004 | |
| 5275 | 1005 octave_idx_type nn = 4*npts+15; |
| 1948 | 1006 |
| 1007 Array<Complex> wsave (nn); | |
| 1008 Complex *pwsave = wsave.fortran_vec (); | |
| 1009 | |
| 3585 | 1010 retval = ComplexMatrix (*this); |
| 1948 | 1011 Complex *tmp_data = retval.fortran_vec (); |
| 1012 | |
|
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1013 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
| 458 | 1014 |
| 5275 | 1015 for (octave_idx_type j = 0; j < nsamples; j++) |
| 4153 | 1016 { |
| 1017 OCTAVE_QUIT; | |
| 1018 | |
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1019 F77_FUNC (zfftf, ZFFTF) (npts, &tmp_data[npts*j], pwsave); |
| 4153 | 1020 } |
| 1948 | 1021 |
| 1022 return retval; | |
| 458 | 1023 } |
| 1024 | |
| 1025 ComplexMatrix | |
| 1026 Matrix::ifourier (void) const | |
| 1027 { | |
| 1948 | 1028 ComplexMatrix retval; |
| 1029 | |
| 5275 | 1030 octave_idx_type nr = rows (); |
| 1031 octave_idx_type nc = cols (); | |
| 1032 | |
| 1033 octave_idx_type npts, nsamples; | |
| 1948 | 1034 |
| 458 | 1035 if (nr == 1 || nc == 1) |
| 1036 { | |
| 1037 npts = nr > nc ? nr : nc; | |
| 1038 nsamples = 1; | |
| 1039 } | |
| 1040 else | |
| 1041 { | |
| 1042 npts = nr; | |
| 1043 nsamples = nc; | |
| 1044 } | |
| 1045 | |
| 5275 | 1046 octave_idx_type nn = 4*npts+15; |
| 1948 | 1047 |
| 1048 Array<Complex> wsave (nn); | |
| 1049 Complex *pwsave = wsave.fortran_vec (); | |
| 1050 | |
| 3585 | 1051 retval = ComplexMatrix (*this); |
| 1948 | 1052 Complex *tmp_data = retval.fortran_vec (); |
| 1053 | |
|
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changeset
|
1054 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
| 458 | 1055 |
| 5275 | 1056 for (octave_idx_type j = 0; j < nsamples; j++) |
| 4153 | 1057 { |
| 1058 OCTAVE_QUIT; | |
| 1059 | |
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changeset
|
1060 F77_FUNC (zfftb, ZFFTB) (npts, &tmp_data[npts*j], pwsave); |
| 4153 | 1061 } |
| 458 | 1062 |
| 5275 | 1063 for (octave_idx_type j = 0; j < npts*nsamples; j++) |
| 3572 | 1064 tmp_data[j] = tmp_data[j] / static_cast<double> (npts); |
| 458 | 1065 |
| 1948 | 1066 return retval; |
| 458 | 1067 } |
| 1068 | |
| 677 | 1069 ComplexMatrix |
| 1070 Matrix::fourier2d (void) const | |
| 1071 { | |
| 1948 | 1072 ComplexMatrix retval; |
| 1073 | |
| 5275 | 1074 octave_idx_type nr = rows (); |
| 1075 octave_idx_type nc = cols (); | |
| 1076 | |
| 1077 octave_idx_type npts, nsamples; | |
| 1948 | 1078 |
| 677 | 1079 if (nr == 1 || nc == 1) |
| 1080 { | |
| 1081 npts = nr > nc ? nr : nc; | |
| 1082 nsamples = 1; | |
| 1083 } | |
| 1084 else | |
| 1085 { | |
| 1086 npts = nr; | |
| 1087 nsamples = nc; | |
| 1088 } | |
| 1089 | |
| 5275 | 1090 octave_idx_type nn = 4*npts+15; |
| 1948 | 1091 |
| 1092 Array<Complex> wsave (nn); | |
| 1093 Complex *pwsave = wsave.fortran_vec (); | |
| 1094 | |
| 3585 | 1095 retval = ComplexMatrix (*this); |
| 1948 | 1096 Complex *tmp_data = retval.fortran_vec (); |
| 1097 | |
|
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changeset
|
1098 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
| 677 | 1099 |
| 5275 | 1100 for (octave_idx_type j = 0; j < nsamples; j++) |
| 4153 | 1101 { |
| 1102 OCTAVE_QUIT; | |
| 1103 | |
|
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|
1104 F77_FUNC (zfftf, ZFFTF) (npts, &tmp_data[npts*j], pwsave); |
| 4153 | 1105 } |
| 677 | 1106 |
| 1107 npts = nc; | |
| 1108 nsamples = nr; | |
| 1109 nn = 4*npts+15; | |
| 1948 | 1110 |
| 1111 wsave.resize (nn); | |
| 1112 pwsave = wsave.fortran_vec (); | |
| 1113 | |
| 4773 | 1114 Array<Complex> tmp (npts); |
| 1115 Complex *prow = tmp.fortran_vec (); | |
| 1948 | 1116 |
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|
1117 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
| 677 | 1118 |
| 5275 | 1119 for (octave_idx_type j = 0; j < nsamples; j++) |
| 677 | 1120 { |
| 4153 | 1121 OCTAVE_QUIT; |
| 1122 | |
| 5275 | 1123 for (octave_idx_type i = 0; i < npts; i++) |
| 1948 | 1124 prow[i] = tmp_data[i*nr + j]; |
| 1125 | |
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|
1126 F77_FUNC (zfftf, ZFFTF) (npts, prow, pwsave); |
| 677 | 1127 |
| 5275 | 1128 for (octave_idx_type i = 0; i < npts; i++) |
| 1948 | 1129 tmp_data[i*nr + j] = prow[i]; |
| 677 | 1130 } |
| 1131 | |
| 1948 | 1132 return retval; |
| 677 | 1133 } |
| 1134 | |
| 1135 ComplexMatrix | |
| 1136 Matrix::ifourier2d (void) const | |
| 1137 { | |
| 1948 | 1138 ComplexMatrix retval; |
| 1139 | |
| 5275 | 1140 octave_idx_type nr = rows (); |
| 1141 octave_idx_type nc = cols (); | |
| 1142 | |
| 1143 octave_idx_type npts, nsamples; | |
| 1948 | 1144 |
| 677 | 1145 if (nr == 1 || nc == 1) |
| 1146 { | |
| 1147 npts = nr > nc ? nr : nc; | |
| 1148 nsamples = 1; | |
| 1149 } | |
| 1150 else | |
| 1151 { | |
| 1152 npts = nr; | |
| 1153 nsamples = nc; | |
| 1154 } | |
| 1155 | |
| 5275 | 1156 octave_idx_type nn = 4*npts+15; |
| 1948 | 1157 |
| 1158 Array<Complex> wsave (nn); | |
| 1159 Complex *pwsave = wsave.fortran_vec (); | |
| 1160 | |
| 3585 | 1161 retval = ComplexMatrix (*this); |
| 1948 | 1162 Complex *tmp_data = retval.fortran_vec (); |
| 1163 | |
|
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|
1164 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
| 677 | 1165 |
| 5275 | 1166 for (octave_idx_type j = 0; j < nsamples; j++) |
| 4153 | 1167 { |
| 1168 OCTAVE_QUIT; | |
| 1169 | |
|
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|
1170 F77_FUNC (zfftb, ZFFTB) (npts, &tmp_data[npts*j], pwsave); |
| 4153 | 1171 } |
| 677 | 1172 |
| 5275 | 1173 for (octave_idx_type j = 0; j < npts*nsamples; j++) |
| 3572 | 1174 tmp_data[j] = tmp_data[j] / static_cast<double> (npts); |
| 677 | 1175 |
| 1176 npts = nc; | |
| 1177 nsamples = nr; | |
| 1178 nn = 4*npts+15; | |
| 1948 | 1179 |
| 1180 wsave.resize (nn); | |
| 1181 pwsave = wsave.fortran_vec (); | |
| 1182 | |
| 4773 | 1183 Array<Complex> tmp (npts); |
| 1184 Complex *prow = tmp.fortran_vec (); | |
| 1948 | 1185 |
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|
1186 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
| 677 | 1187 |
| 5275 | 1188 for (octave_idx_type j = 0; j < nsamples; j++) |
| 677 | 1189 { |
| 4153 | 1190 OCTAVE_QUIT; |
| 1191 | |
| 5275 | 1192 for (octave_idx_type i = 0; i < npts; i++) |
| 1948 | 1193 prow[i] = tmp_data[i*nr + j]; |
| 1194 | |
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1195 F77_FUNC (zfftb, ZFFTB) (npts, prow, pwsave); |
| 677 | 1196 |
| 5275 | 1197 for (octave_idx_type i = 0; i < npts; i++) |
| 3572 | 1198 tmp_data[i*nr + j] = prow[i] / static_cast<double> (npts); |
| 677 | 1199 } |
| 1200 | |
| 1948 | 1201 return retval; |
| 677 | 1202 } |
| 1203 | |
| 3827 | 1204 #endif |
| 1205 | |
| 458 | 1206 DET |
| 1207 Matrix::determinant (void) const | |
| 1208 { | |
| 5275 | 1209 octave_idx_type info; |
| 7788 | 1210 double rcon; |
| 1211 return determinant (info, rcon, 0); | |
| 458 | 1212 } |
| 1213 | |
| 1214 DET | |
| 5275 | 1215 Matrix::determinant (octave_idx_type& info) const |
| 458 | 1216 { |
| 7788 | 1217 double rcon; |
| 1218 return determinant (info, rcon, 0); | |
| 458 | 1219 } |
| 1220 | |
| 1221 DET | |
| 7788 | 1222 Matrix::determinant (octave_idx_type& info, double& rcon, int calc_cond) const |
| 458 | 1223 { |
|
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1224 MatrixType mattype (*this); |
|
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1225 return determinant (mattype, info, rcon, calc_cond); |
|
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1226 } |
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1227 |
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1228 DET |
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1229 Matrix::determinant (MatrixType& mattype, |
|
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1230 octave_idx_type& info, double& rcon, int calc_cond) const |
|
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1231 { |
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1232 DET retval (1.0); |
| 458 | 1233 |
| 5275 | 1234 octave_idx_type nr = rows (); |
| 1235 octave_idx_type nc = cols (); | |
| 458 | 1236 |
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1237 if (nr != nc) |
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|
1238 (*current_liboctave_error_handler) ("matrix must be square"); |
| 458 | 1239 else |
| 1240 { | |
|
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|
1241 int typ = mattype.type (); |
|
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|
1242 |
|
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|
1243 if (typ == MatrixType::Unknown) |
|
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parents:
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diff
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|
1244 typ = mattype.type (*this); |
|
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diff
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|
1245 |
|
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|
1246 if (typ == MatrixType::Lower || typ == MatrixType::Upper) |
|
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|
1247 { |
|
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diff
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|
1248 for (octave_idx_type i = 0; i < nc; i++) |
|
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make det take advantage of matrix type
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|
1249 retval *= elem (i,i); |
|
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|
1250 } |
|
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|
1251 else if (typ == MatrixType::Hermitian) |
|
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|
1252 { |
|
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diff
changeset
|
1253 Matrix atmp = *this; |
|
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|
1254 double *tmp_data = atmp.fortran_vec (); |
|
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|
1255 |
|
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|
1256 info = 0; |
|
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|
1257 double anorm = 0; |
|
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|
1258 if (calc_cond) anorm = xnorm (*this, 1); |
|
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|
1259 |
|
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|
1260 |
|
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|
1261 char job = 'L'; |
|
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|
1262 F77_XFCN (dpotrf, DPOTRF, (F77_CONST_CHAR_ARG2 (&job, 1), nr, |
|
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|
1263 tmp_data, nr, info |
|
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make det take advantage of matrix type
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|
1264 F77_CHAR_ARG_LEN (1))); |
|
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|
1265 |
|
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|
1266 if (info != 0) |
|
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|
1267 { |
|
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|
1268 rcon = 0.0; |
|
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|
1269 mattype.mark_as_unsymmetric (); |
|
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|
1270 typ = MatrixType::Full; |
|
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|
1271 } |
|
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|
1272 else |
|
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|
1273 { |
|
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|
1274 Array<double> z (3 * nc); |
|
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|
1275 double *pz = z.fortran_vec (); |
|
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|
1276 Array<octave_idx_type> iz (nc); |
|
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|
1277 octave_idx_type *piz = iz.fortran_vec (); |
|
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|
1278 |
|
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|
1279 F77_XFCN (dpocon, DPOCON, (F77_CONST_CHAR_ARG2 (&job, 1), |
|
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|
1280 nr, tmp_data, nr, anorm, |
|
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|
1281 rcon, pz, piz, info |
|
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|
1282 F77_CHAR_ARG_LEN (1))); |
|
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|
1283 |
|
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|
1284 if (info != 0) |
|
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|
1285 rcon = 0.0; |
|
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|
1286 |
|
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|
1287 for (octave_idx_type i = 0; i < nc; i++) |
|
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|
1288 retval *= atmp (i,i); |
|
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|
1289 |
|
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|
1290 retval = retval.square (); |
|
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|
1291 } |
|
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|
1292 } |
|
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|
1293 else if (typ != MatrixType::Full) |
|
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|
1294 (*current_liboctave_error_handler) ("det: invalid dense matrix type"); |
|
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|
1295 |
|
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|
1296 if (typ == MatrixType::Full) |
|
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|
1297 { |
|
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|
1298 Array<octave_idx_type> ipvt (nr); |
|
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1299 octave_idx_type *pipvt = ipvt.fortran_vec (); |
|
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|
1300 |
|
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|
1301 Matrix atmp = *this; |
|
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1302 double *tmp_data = atmp.fortran_vec (); |
|
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|
1303 |
|
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|
1304 info = 0; |
|
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|
1305 |
|
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|
1306 // Calculate the norm of the matrix, for later use. |
|
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1307 double anorm = 0; |
|
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1308 if (calc_cond) anorm = xnorm (*this, 1); |
|
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|
1309 |
|
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|
1310 F77_XFCN (dgetrf, DGETRF, (nr, nr, tmp_data, nr, pipvt, info)); |
|
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|
1311 |
|
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|
1312 // Throw-away extra info LAPACK gives so as to not change output. |
|
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1313 rcon = 0.0; |
|
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1314 if (info != 0) |
|
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|
1315 { |
|
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1316 info = -1; |
|
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|
1317 retval = DET (); |
|
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|
1318 } |
|
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|
1319 else |
|
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|
1320 { |
|
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|
1321 if (calc_cond) |
|
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|
1322 { |
|
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1323 // Now calc the condition number for non-singular matrix. |
|
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1324 char job = '1'; |
|
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1325 Array<double> z (4 * nc); |
|
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1326 double *pz = z.fortran_vec (); |
|
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|
1327 Array<octave_idx_type> iz (nc); |
|
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1328 octave_idx_type *piz = iz.fortran_vec (); |
|
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1329 |
|
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|
1330 F77_XFCN (dgecon, DGECON, (F77_CONST_CHAR_ARG2 (&job, 1), |
|
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|
1331 nc, tmp_data, nr, anorm, |
|
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1332 rcon, pz, piz, info |
|
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|
1333 F77_CHAR_ARG_LEN (1))); |
| 8335 | 1334 } |
|
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|
1335 |
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|
1336 if (info != 0) |
|
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|
1337 { |
|
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|
1338 info = -1; |
|
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|
1339 retval = DET (); |
|
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|
1340 } |
|
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|
1341 else |
|
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|
1342 { |
|
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|
1343 for (octave_idx_type i = 0; i < nc; i++) |
|
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|
1344 { |
|
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|
1345 double c = atmp(i,i); |
|
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|
1346 retval *= (ipvt(i) != (i+1)) ? -c : c; |
|
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|
1347 } |
|
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|
1348 } |
|
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|
1349 } |
|
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|
1350 } |
| 458 | 1351 } |
| 1352 | |
| 1353 return retval; | |
| 1354 } | |
| 1355 | |
| 7788 | 1356 double |
| 1357 Matrix::rcond (void) const | |
| 1358 { | |
| 1359 MatrixType mattype (*this); | |
| 1360 return rcond (mattype); | |
| 1361 } | |
| 1362 | |
| 1363 double | |
| 1364 Matrix::rcond (MatrixType &mattype) const | |
| 1365 { | |
| 1366 double rcon; | |
| 1367 octave_idx_type nr = rows (); | |
| 1368 octave_idx_type nc = cols (); | |
| 1369 | |
| 1370 if (nr != nc) | |
| 1371 (*current_liboctave_error_handler) ("matrix must be square"); | |
| 1372 else if (nr == 0 || nc == 0) | |
| 1373 rcon = octave_Inf; | |
| 1374 else | |
| 1375 { | |
| 1376 int typ = mattype.type (); | |
| 1377 | |
| 1378 if (typ == MatrixType::Unknown) | |
| 1379 typ = mattype.type (*this); | |
| 1380 | |
| 1381 // Only calculate the condition number for LU/Cholesky | |
| 1382 if (typ == MatrixType::Upper) | |
| 1383 { | |
| 1384 const double *tmp_data = fortran_vec (); | |
| 1385 octave_idx_type info = 0; | |
| 1386 char norm = '1'; | |
| 1387 char uplo = 'U'; | |
| 1388 char dia = 'N'; | |
| 1389 | |
| 1390 Array<double> z (3 * nc); | |
| 1391 double *pz = z.fortran_vec (); | |
| 1392 Array<octave_idx_type> iz (nc); | |
| 1393 octave_idx_type *piz = iz.fortran_vec (); | |
| 1394 | |
| 1395 F77_XFCN (dtrcon, DTRCON, (F77_CONST_CHAR_ARG2 (&norm, 1), | |
| 1396 F77_CONST_CHAR_ARG2 (&uplo, 1), | |
| 1397 F77_CONST_CHAR_ARG2 (&dia, 1), | |
| 1398 nr, tmp_data, nr, rcon, | |
| 1399 pz, piz, info | |
| 1400 F77_CHAR_ARG_LEN (1) | |
| 1401 F77_CHAR_ARG_LEN (1) | |
| 1402 F77_CHAR_ARG_LEN (1))); | |
| 1403 | |
| 1404 if (info != 0) | |
| 1405 rcon = 0.0; | |
| 1406 } | |
| 1407 else if (typ == MatrixType::Permuted_Upper) | |
| 1408 (*current_liboctave_error_handler) | |
| 1409 ("permuted triangular matrix not implemented"); | |
| 1410 else if (typ == MatrixType::Lower) | |
| 1411 { | |
| 1412 const double *tmp_data = fortran_vec (); | |
| 1413 octave_idx_type info = 0; | |
| 1414 char norm = '1'; | |
| 1415 char uplo = 'L'; | |
| 1416 char dia = 'N'; | |
| 1417 | |
| 1418 Array<double> z (3 * nc); | |
| 1419 double *pz = z.fortran_vec (); | |
| 1420 Array<octave_idx_type> iz (nc); | |
| 1421 octave_idx_type *piz = iz.fortran_vec (); | |
| 1422 | |
| 1423 F77_XFCN (dtrcon, DTRCON, (F77_CONST_CHAR_ARG2 (&norm, 1), | |
| 1424 F77_CONST_CHAR_ARG2 (&uplo, 1), | |
| 1425 F77_CONST_CHAR_ARG2 (&dia, 1), | |
| 1426 nr, tmp_data, nr, rcon, | |
| 1427 pz, piz, info | |
| 1428 F77_CHAR_ARG_LEN (1) | |
| 1429 F77_CHAR_ARG_LEN (1) | |
| 1430 F77_CHAR_ARG_LEN (1))); | |
| 1431 | |
| 1432 if (info != 0) | |
| 1433 rcon = 0.0; | |
| 1434 } | |
| 1435 else if (typ == MatrixType::Permuted_Lower) | |
| 1436 (*current_liboctave_error_handler) | |
| 1437 ("permuted triangular matrix not implemented"); | |
| 1438 else if (typ == MatrixType::Full || typ == MatrixType::Hermitian) | |
| 1439 { | |
| 1440 double anorm = -1.0; | |
| 1441 Matrix atmp = *this; | |
| 1442 double *tmp_data = atmp.fortran_vec (); | |
| 1443 | |
| 1444 if (typ == MatrixType::Hermitian) | |
| 1445 { | |
| 1446 octave_idx_type info = 0; | |
| 1447 char job = 'L'; | |
| 1448 anorm = atmp.abs().sum(). | |
| 1449 row(static_cast<octave_idx_type>(0)).max(); | |
| 1450 | |
| 1451 F77_XFCN (dpotrf, DPOTRF, (F77_CONST_CHAR_ARG2 (&job, 1), nr, | |
| 1452 tmp_data, nr, info | |
| 1453 F77_CHAR_ARG_LEN (1))); | |
| 1454 | |
| 1455 if (info != 0) | |
| 1456 { | |
| 1457 rcon = 0.0; | |
| 1458 mattype.mark_as_unsymmetric (); | |
| 1459 typ = MatrixType::Full; | |
| 1460 } | |
| 1461 else | |
| 1462 { | |
| 1463 Array<double> z (3 * nc); | |
| 1464 double *pz = z.fortran_vec (); | |
| 1465 Array<octave_idx_type> iz (nc); | |
| 1466 octave_idx_type *piz = iz.fortran_vec (); | |
| 1467 | |
| 1468 F77_XFCN (dpocon, DPOCON, (F77_CONST_CHAR_ARG2 (&job, 1), | |
| 1469 nr, tmp_data, nr, anorm, | |
| 1470 rcon, pz, piz, info | |
| 1471 F77_CHAR_ARG_LEN (1))); | |
| 1472 | |
| 1473 if (info != 0) | |
| 1474 rcon = 0.0; | |
| 1475 } | |
| 1476 } | |
| 1477 | |
| 1478 if (typ == MatrixType::Full) | |
| 1479 { | |
| 1480 octave_idx_type info = 0; | |
| 1481 | |
| 1482 Array<octave_idx_type> ipvt (nr); | |
| 1483 octave_idx_type *pipvt = ipvt.fortran_vec (); | |
| 1484 | |
| 1485 if(anorm < 0.) | |
| 1486 anorm = atmp.abs().sum(). | |
| 1487 row(static_cast<octave_idx_type>(0)).max(); | |
| 1488 | |
| 1489 Array<double> z (4 * nc); | |
| 1490 double *pz = z.fortran_vec (); | |
| 1491 Array<octave_idx_type> iz (nc); | |
| 1492 octave_idx_type *piz = iz.fortran_vec (); | |
| 1493 | |
| 1494 F77_XFCN (dgetrf, DGETRF, (nr, nr, tmp_data, nr, pipvt, info)); | |
| 1495 | |
| 1496 if (info != 0) | |
| 1497 { | |
| 1498 rcon = 0.0; | |
| 1499 mattype.mark_as_rectangular (); | |
| 1500 } | |
| 1501 else | |
| 1502 { | |
| 1503 char job = '1'; | |
| 1504 F77_XFCN (dgecon, DGECON, (F77_CONST_CHAR_ARG2 (&job, 1), | |
| 1505 nc, tmp_data, nr, anorm, | |
| 1506 rcon, pz, piz, info | |
| 1507 F77_CHAR_ARG_LEN (1))); | |
| 1508 | |
| 1509 if (info != 0) | |
| 1510 rcon = 0.0; | |
| 1511 } | |
| 1512 } | |
| 1513 } | |
| 1514 else | |
| 1515 rcon = 0.0; | |
| 1516 } | |
| 1517 | |
| 1518 return rcon; | |
| 1519 } | |
| 1520 | |
| 458 | 1521 Matrix |
| 5785 | 1522 Matrix::utsolve (MatrixType &mattype, const Matrix& b, octave_idx_type& info, |
| 7788 | 1523 double& rcon, solve_singularity_handler sing_handler, |
| 5785 | 1524 bool calc_cond) const |
| 1525 { | |
| 1526 Matrix retval; | |
| 1527 | |
| 1528 octave_idx_type nr = rows (); | |
| 1529 octave_idx_type nc = cols (); | |
| 1530 | |
| 6924 | 1531 if (nr != b.rows ()) |
| 5785 | 1532 (*current_liboctave_error_handler) |
| 1533 ("matrix dimension mismatch solution of linear equations"); | |
| 6924 | 1534 else if (nr == 0 || nc == 0 || b.cols () == 0) |
| 1535 retval = Matrix (nc, b.cols (), 0.0); | |
| 5785 | 1536 else |
| 1537 { | |
| 1538 volatile int typ = mattype.type (); | |
| 1539 | |
| 1540 if (typ == MatrixType::Permuted_Upper || | |
| 1541 typ == MatrixType::Upper) | |
| 1542 { | |
| 1543 octave_idx_type b_nc = b.cols (); | |
| 7788 | 1544 rcon = 1.; |
| 5785 | 1545 info = 0; |
| 1546 | |
| 1547 if (typ == MatrixType::Permuted_Upper) | |
| 1548 { | |
| 1549 (*current_liboctave_error_handler) | |
| 6390 | 1550 ("permuted triangular matrix not implemented"); |
| 5785 | 1551 } |
| 1552 else | |
| 1553 { | |
| 1554 const double *tmp_data = fortran_vec (); | |
| 1555 | |
| 1556 if (calc_cond) | |
| 1557 { | |
| 1558 char norm = '1'; | |
| 1559 char uplo = 'U'; | |
| 1560 char dia = 'N'; | |
| 1561 | |
| 1562 Array<double> z (3 * nc); | |
| 1563 double *pz = z.fortran_vec (); | |
| 1564 Array<octave_idx_type> iz (nc); | |
| 1565 octave_idx_type *piz = iz.fortran_vec (); | |
| 1566 | |
| 1567 F77_XFCN (dtrcon, DTRCON, (F77_CONST_CHAR_ARG2 (&norm, 1), | |
| 1568 F77_CONST_CHAR_ARG2 (&uplo, 1), | |
| 1569 F77_CONST_CHAR_ARG2 (&dia, 1), | |
| 7788 | 1570 nr, tmp_data, nr, rcon, |
| 5785 | 1571 pz, piz, info |
| 1572 F77_CHAR_ARG_LEN (1) | |
| 1573 F77_CHAR_ARG_LEN (1) | |
| 1574 F77_CHAR_ARG_LEN (1))); | |
| 1575 | |
| 1576 if (info != 0) | |
| 1577 info = -2; | |
| 1578 | |
| 7788 | 1579 volatile double rcond_plus_one = rcon + 1.0; |
| 1580 | |
| 1581 if (rcond_plus_one == 1.0 || xisnan (rcon)) | |
| 5785 | 1582 { |
| 1583 info = -2; | |
| 1584 | |
| 1585 if (sing_handler) | |
| 7788 | 1586 sing_handler (rcon); |
| 5785 | 1587 else |
| 1588 (*current_liboctave_error_handler) | |
| 1589 ("matrix singular to machine precision, rcond = %g", | |
| 7788 | 1590 rcon); |
| 5785 | 1591 } |
| 1592 } | |
| 1593 | |
| 1594 if (info == 0) | |
| 1595 { | |
| 1596 retval = b; | |
| 1597 double *result = retval.fortran_vec (); | |
| 1598 | |
| 1599 char uplo = 'U'; | |
| 1600 char trans = 'N'; | |
| 1601 char dia = 'N'; | |
| 1602 | |
| 1603 F77_XFCN (dtrtrs, DTRTRS, (F77_CONST_CHAR_ARG2 (&uplo, 1), | |
| 1604 F77_CONST_CHAR_ARG2 (&trans, 1), | |
| 1605 F77_CONST_CHAR_ARG2 (&dia, 1), | |
| 1606 nr, b_nc, tmp_data, nr, | |
| 1607 result, nr, info | |
| 1608 F77_CHAR_ARG_LEN (1) | |
| 1609 F77_CHAR_ARG_LEN (1) | |
| 1610 F77_CHAR_ARG_LEN (1))); | |
| 1611 } | |
| 1612 } | |
| 1613 } | |
| 1614 else | |
| 1615 (*current_liboctave_error_handler) ("incorrect matrix type"); | |
| 1616 } | |
| 1617 | |
| 1618 return retval; | |
| 1619 } | |
| 1620 | |
| 1621 Matrix | |
| 1622 Matrix::ltsolve (MatrixType &mattype, const Matrix& b, octave_idx_type& info, | |
| 7788 | 1623 double& rcon, solve_singularity_handler sing_handler, |
| 5785 | 1624 bool calc_cond) const |
| 1625 { | |
| 1626 Matrix retval; | |
| 1627 | |
| 1628 octave_idx_type nr = rows (); | |
| 1629 octave_idx_type nc = cols (); | |
| 1630 | |
| 6924 | 1631 if (nr != b.rows ()) |
| 5785 | 1632 (*current_liboctave_error_handler) |
| 1633 ("matrix dimension mismatch solution of linear equations"); | |
| 6924 | 1634 else if (nr == 0 || nc == 0 || b.cols () == 0) |
| 1635 retval = Matrix (nc, b.cols (), 0.0); | |
| 5785 | 1636 else |
| 1637 { | |
| 1638 volatile int typ = mattype.type (); | |
| 1639 | |
| 1640 if (typ == MatrixType::Permuted_Lower || | |
| 1641 typ == MatrixType::Lower) | |
| 1642 { | |
| 1643 octave_idx_type b_nc = b.cols (); | |
| 7788 | 1644 rcon = 1.; |
| 5785 | 1645 info = 0; |
| 1646 | |
| 1647 if (typ == MatrixType::Permuted_Lower) | |
| 1648 { | |
| 1649 (*current_liboctave_error_handler) | |
| 6390 | 1650 ("permuted triangular matrix not implemented"); |
| 5785 | 1651 } |
| 1652 else | |
| 1653 { | |
| 1654 const double *tmp_data = fortran_vec (); | |
| 1655 | |
| 1656 if (calc_cond) | |
| 1657 { | |
| 1658 char norm = '1'; | |
| 1659 char uplo = 'L'; | |
| 1660 char dia = 'N'; | |
| 1661 | |
| 1662 Array<double> z (3 * nc); | |
| 1663 double *pz = z.fortran_vec (); | |
| 1664 Array<octave_idx_type> iz (nc); | |
| 1665 octave_idx_type *piz = iz.fortran_vec (); | |
| 1666 | |
| 1667 F77_XFCN (dtrcon, DTRCON, (F77_CONST_CHAR_ARG2 (&norm, 1), | |
| 1668 F77_CONST_CHAR_ARG2 (&uplo, 1), | |
| 1669 F77_CONST_CHAR_ARG2 (&dia, 1), | |
| 7788 | 1670 nr, tmp_data, nr, rcon, |
| 5785 | 1671 pz, piz, info |
| 1672 F77_CHAR_ARG_LEN (1) | |
| 1673 F77_CHAR_ARG_LEN (1) | |
| 1674 F77_CHAR_ARG_LEN (1))); | |
| 1675 | |
| 1676 if (info != 0) | |
| 1677 info = -2; | |
| 1678 | |
| 7788 | 1679 volatile double rcond_plus_one = rcon + 1.0; |
| 1680 | |
| 1681 if (rcond_plus_one == 1.0 || xisnan (rcon)) | |
| 5785 | 1682 { |
| 1683 info = -2; | |
| 1684 | |
| 1685 if (sing_handler) | |
| 7788 | 1686 sing_handler (rcon); |
| 5785 | 1687 else |
| 1688 (*current_liboctave_error_handler) | |
| 1689 ("matrix singular to machine precision, rcond = %g", | |
| 7788 | 1690 rcon); |
| 5785 | 1691 } |
| 1692 } | |
| 1693 | |
| 1694 if (info == 0) | |
| 1695 { | |
| 1696 retval = b; | |
| 1697 double *result = retval.fortran_vec (); | |
| 1698 | |
| 1699 char uplo = 'L'; | |
| 1700 char trans = 'N'; | |
| 1701 char dia = 'N'; | |
| 1702 | |
| 1703 F77_XFCN (dtrtrs, DTRTRS, (F77_CONST_CHAR_ARG2 (&uplo, 1), | |
| 1704 F77_CONST_CHAR_ARG2 (&trans, 1), | |
| 1705 F77_CONST_CHAR_ARG2 (&dia, 1), | |
| 1706 nr, b_nc, tmp_data, nr, | |
| 1707 result, nr, info | |
| 1708 F77_CHAR_ARG_LEN (1) | |
| 1709 F77_CHAR_ARG_LEN (1) | |
| 1710 F77_CHAR_ARG_LEN (1))); | |
| 1711 } | |
| 1712 } | |
| 1713 } | |
| 1714 else | |
| 1715 (*current_liboctave_error_handler) ("incorrect matrix type"); | |
| 1716 } | |
| 1717 | |
| 1718 return retval; | |
| 1719 } | |
| 1720 | |
| 1721 Matrix | |
| 1722 Matrix::fsolve (MatrixType &mattype, const Matrix& b, octave_idx_type& info, | |
| 7788 | 1723 double& rcon, solve_singularity_handler sing_handler, |
| 5785 | 1724 bool calc_cond) const |
| 1725 { | |
| 1726 Matrix retval; | |
| 1727 | |
| 1728 octave_idx_type nr = rows (); | |
| 1729 octave_idx_type nc = cols (); | |
| 1730 | |
| 6924 | 1731 if (nr != nc || nr != b.rows ()) |
| 5785 | 1732 (*current_liboctave_error_handler) |
| 1733 ("matrix dimension mismatch solution of linear equations"); | |
| 6924 | 1734 else if (nr == 0 || b.cols () == 0) |
| 1735 retval = Matrix (nc, b.cols (), 0.0); | |
| 5785 | 1736 else |
| 1737 { | |
| 1738 volatile int typ = mattype.type (); | |
| 1739 | |
| 1740 // Calculate the norm of the matrix, for later use. | |
| 1741 double anorm = -1.; | |
| 1742 | |
| 1743 if (typ == MatrixType::Hermitian) | |
| 1744 { | |
| 1745 info = 0; | |
| 1746 char job = 'L'; | |
| 1747 Matrix atmp = *this; | |
| 1748 double *tmp_data = atmp.fortran_vec (); | |
| 1749 anorm = atmp.abs().sum().row(static_cast<octave_idx_type>(0)).max(); | |
| 1750 | |
| 1751 F77_XFCN (dpotrf, DPOTRF, (F77_CONST_CHAR_ARG2 (&job, 1), nr, | |
| 1752 tmp_data, nr, info | |
| 1753 F77_CHAR_ARG_LEN (1))); | |
| 1754 | |
|
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|
1755 // Throw-away extra info LAPACK gives so as to not change output. |
| 7788 | 1756 rcon = 0.0; |
|
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|
1757 if (info != 0) |
|
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|
1758 { |
|
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|
1759 info = -2; |
|
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|
1760 |
|
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|
1761 mattype.mark_as_unsymmetric (); |
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1762 typ = MatrixType::Full; |
|
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|
1763 } |
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|
1764 else |
| 5785 | 1765 { |
|
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|
1766 if (calc_cond) |
| 5785 | 1767 { |
|
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|
1768 Array<double> z (3 * nc); |
|
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|
1769 double *pz = z.fortran_vec (); |
|
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|
1770 Array<octave_idx_type> iz (nc); |
|
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1771 octave_idx_type *piz = iz.fortran_vec (); |
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1772 |
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1773 F77_XFCN (dpocon, DPOCON, (F77_CONST_CHAR_ARG2 (&job, 1), |
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|
1774 nr, tmp_data, nr, anorm, |
| 7788 | 1775 rcon, pz, piz, info |
|
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1776 F77_CHAR_ARG_LEN (1))); |
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1777 |
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1778 if (info != 0) |
|
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1779 info = -2; |
|
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1780 |
| 7788 | 1781 volatile double rcond_plus_one = rcon + 1.0; |
| 1782 | |
| 1783 if (rcond_plus_one == 1.0 || xisnan (rcon)) | |
|
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1784 { |
|
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1785 info = -2; |
|
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1786 |
|
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|
1787 if (sing_handler) |
| 7788 | 1788 sing_handler (rcon); |
|
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|
1789 else |
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1790 (*current_liboctave_error_handler) |
|
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1791 ("matrix singular to machine precision, rcond = %g", |
| 7788 | 1792 rcon); |
|
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1793 } |
|
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1794 } |
|
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1795 |
|
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|
1796 if (info == 0) |
|
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1797 { |
|
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|
1798 retval = b; |
|
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1799 double *result = retval.fortran_vec (); |
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1800 |
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1801 octave_idx_type b_nc = b.cols (); |
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changeset
|
1802 |
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|
1803 F77_XFCN (dpotrs, DPOTRS, (F77_CONST_CHAR_ARG2 (&job, 1), |
|
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|
1804 nr, b_nc, tmp_data, nr, |
|
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|
1805 result, b.rows(), info |
|
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|
1806 F77_CHAR_ARG_LEN (1))); |
|
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|
1807 } |
|
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|
1808 else |
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|
1809 { |
| 5785 | 1810 mattype.mark_as_unsymmetric (); |
| 1811 typ = MatrixType::Full; | |
|
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|
1812 } |
| 5785 | 1813 } |
| 1814 } | |
| 1815 | |
| 1816 if (typ == MatrixType::Full) | |
| 1817 { | |
| 1818 info = 0; | |
| 1819 | |
| 1820 Array<octave_idx_type> ipvt (nr); | |
| 1821 octave_idx_type *pipvt = ipvt.fortran_vec (); | |
| 1822 | |
| 1823 Matrix atmp = *this; | |
| 1824 double *tmp_data = atmp.fortran_vec (); | |
| 1825 if(anorm < 0.) | |
| 1826 anorm = atmp.abs().sum().row(static_cast<octave_idx_type>(0)).max(); | |
| 1827 | |
| 1828 Array<double> z (4 * nc); | |
| 1829 double *pz = z.fortran_vec (); | |
| 1830 Array<octave_idx_type> iz (nc); | |
| 1831 octave_idx_type *piz = iz.fortran_vec (); | |
| 1832 | |
| 1833 F77_XFCN (dgetrf, DGETRF, (nr, nr, tmp_data, nr, pipvt, info)); | |
| 1834 | |
|
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|
1835 // Throw-away extra info LAPACK gives so as to not change output. |
| 7788 | 1836 rcon = 0.0; |
|
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|
1837 if (info != 0) |
| 5785 | 1838 { |
|
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|
1839 info = -2; |
|
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|
1840 |
|
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|
1841 if (sing_handler) |
| 7788 | 1842 sing_handler (rcon); |
|
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|
1843 else |
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|
1844 (*current_liboctave_error_handler) |
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|
1845 ("matrix singular to machine precision"); |
|
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|
1846 |
|
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|
1847 mattype.mark_as_rectangular (); |
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|
1848 } |
|
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|
1849 else |
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|
1850 { |
|
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1851 if (calc_cond) |
| 5785 | 1852 { |
|
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1853 // Now calculate the condition number for |
|
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1854 // non-singular matrix. |
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1855 char job = '1'; |
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1856 F77_XFCN (dgecon, DGECON, (F77_CONST_CHAR_ARG2 (&job, 1), |
|
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|
1857 nc, tmp_data, nr, anorm, |
| 7788 | 1858 rcon, pz, piz, info |
|
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1859 F77_CHAR_ARG_LEN (1))); |
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|
1860 |
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|
1861 if (info != 0) |
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1862 info = -2; |
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|
1863 |
| 7788 | 1864 volatile double rcond_plus_one = rcon + 1.0; |
| 1865 | |
| 1866 if (rcond_plus_one == 1.0 || xisnan (rcon)) | |
| 5785 | 1867 { |
|
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1868 info = -2; |
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1869 |
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|
1870 if (sing_handler) |
| 7788 | 1871 sing_handler (rcon); |
|
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1872 else |
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|
1873 (*current_liboctave_error_handler) |
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|
1874 ("matrix singular to machine precision, rcond = %g", |
| 7788 | 1875 rcon); |
| 5785 | 1876 } |
| 1877 } | |
|
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|
1878 |
|
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|
1879 if (info == 0) |
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|
1880 { |
|
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|
1881 retval = b; |
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1882 double *result = retval.fortran_vec (); |
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|
1883 |
|
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|
1884 octave_idx_type b_nc = b.cols (); |
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changeset
|
1885 |
|
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changeset
|
1886 char job = 'N'; |
|
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diff
changeset
|
1887 F77_XFCN (dgetrs, DGETRS, (F77_CONST_CHAR_ARG2 (&job, 1), |
|
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changeset
|
1888 nr, b_nc, tmp_data, nr, |
|
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diff
changeset
|
1889 pipvt, result, b.rows(), info |
|
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|
1890 F77_CHAR_ARG_LEN (1))); |
|
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|
1891 } |
|
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changeset
|
1892 else |
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changeset
|
1893 mattype.mark_as_rectangular (); |
| 5785 | 1894 } |
| 1895 } | |
| 1896 else if (typ != MatrixType::Hermitian) | |
| 1897 (*current_liboctave_error_handler) ("incorrect matrix type"); | |
| 1898 } | |
| 1899 | |
| 1900 return retval; | |
| 1901 } | |
| 1902 | |
| 1903 Matrix | |
| 1904 Matrix::solve (MatrixType &typ, const Matrix& b) const | |
| 1905 { | |
| 1906 octave_idx_type info; | |
| 7788 | 1907 double rcon; |
| 1908 return solve (typ, b, info, rcon, 0); | |
| 5785 | 1909 } |
| 1910 | |
| 1911 Matrix | |
| 1912 Matrix::solve (MatrixType &typ, const Matrix& b, octave_idx_type& info, | |
| 7788 | 1913 double& rcon) const |
| 5785 | 1914 { |
| 7788 | 1915 return solve (typ, b, info, rcon, 0); |
| 5785 | 1916 } |
| 1917 | |
| 1918 Matrix | |
| 1919 Matrix::solve (MatrixType &mattype, const Matrix& b, octave_idx_type& info, | |
| 7788 | 1920 double& rcon, solve_singularity_handler sing_handler, |
| 5785 | 1921 bool singular_fallback) const |
| 1922 { | |
| 1923 Matrix retval; | |
| 1924 int typ = mattype.type (); | |
| 1925 | |
| 1926 if (typ == MatrixType::Unknown) | |
| 1927 typ = mattype.type (*this); | |
| 1928 | |
| 1929 // Only calculate the condition number for LU/Cholesky | |
| 1930 if (typ == MatrixType::Upper || typ == MatrixType::Permuted_Upper) | |
| 7788 | 1931 retval = utsolve (mattype, b, info, rcon, sing_handler, false); |
| 5785 | 1932 else if (typ == MatrixType::Lower || typ == MatrixType::Permuted_Lower) |
| 7788 | 1933 retval = ltsolve (mattype, b, info, rcon, sing_handler, false); |
| 5785 | 1934 else if (typ == MatrixType::Full || typ == MatrixType::Hermitian) |
| 7788 | 1935 retval = fsolve (mattype, b, info, rcon, sing_handler, true); |
| 5785 | 1936 else if (typ != MatrixType::Rectangular) |
| 1937 { | |
| 1938 (*current_liboctave_error_handler) ("unknown matrix type"); | |
| 1939 return Matrix (); | |
| 1940 } | |
| 1941 | |
| 1942 // Rectangular or one of the above solvers flags a singular matrix | |
| 1943 if (singular_fallback && mattype.type () == MatrixType::Rectangular) | |
| 1944 { | |
| 1945 octave_idx_type rank; | |
| 7788 | 1946 retval = lssolve (b, info, rank, rcon); |
| 5785 | 1947 } |
| 1948 | |
| 1949 return retval; | |
| 1950 } | |
| 1951 | |
| 1952 ComplexMatrix | |
| 1953 Matrix::solve (MatrixType &typ, const ComplexMatrix& b) const | |
| 1954 { | |
| 1955 ComplexMatrix tmp (*this); | |
| 1956 return tmp.solve (typ, b); | |
| 1957 } | |
| 1958 | |
| 1959 ComplexMatrix | |
| 1960 Matrix::solve (MatrixType &typ, const ComplexMatrix& b, | |
| 1961 octave_idx_type& info) const | |
| 1962 { | |
| 1963 ComplexMatrix tmp (*this); | |
| 1964 return tmp.solve (typ, b, info); | |
| 1965 } | |
| 1966 | |
| 1967 ComplexMatrix | |
| 1968 Matrix::solve (MatrixType &typ, const ComplexMatrix& b, octave_idx_type& info, | |
| 7788 | 1969 double& rcon) const |
| 5785 | 1970 { |
| 1971 ComplexMatrix tmp (*this); | |
| 7788 | 1972 return tmp.solve (typ, b, info, rcon); |
| 5785 | 1973 } |
| 1974 | |
| 1975 ComplexMatrix | |
| 1976 Matrix::solve (MatrixType &typ, const ComplexMatrix& b, octave_idx_type& info, | |
| 7788 | 1977 double& rcon, solve_singularity_handler sing_handler, |
| 5785 | 1978 bool singular_fallback) const |
| 1979 { | |
| 1980 ComplexMatrix tmp (*this); | |
| 7788 | 1981 return tmp.solve (typ, b, info, rcon, sing_handler, singular_fallback); |
| 5785 | 1982 } |
| 1983 | |
| 1984 ColumnVector | |
| 1985 Matrix::solve (MatrixType &typ, const ColumnVector& b) const | |
| 1986 { | |
| 7788 | 1987 octave_idx_type info; double rcon; |
| 1988 return solve (typ, b, info, rcon); | |
| 5785 | 1989 } |
| 1990 | |
| 1991 ColumnVector | |
| 1992 Matrix::solve (MatrixType &typ, const ColumnVector& b, | |
| 1993 octave_idx_type& info) const | |
| 1994 { | |
| 7788 | 1995 double rcon; |
| 1996 return solve (typ, b, info, rcon); | |
| 5785 | 1997 } |
| 1998 | |
| 1999 ColumnVector | |
| 2000 Matrix::solve (MatrixType &typ, const ColumnVector& b, octave_idx_type& info, | |
| 7788 | 2001 double& rcon) const |
| 5785 | 2002 { |
| 7788 | 2003 return solve (typ, b, info, rcon, 0); |
| 5785 | 2004 } |
| 2005 | |
| 2006 ColumnVector | |
| 2007 Matrix::solve (MatrixType &typ, const ColumnVector& b, octave_idx_type& info, | |
| 7788 | 2008 double& rcon, solve_singularity_handler sing_handler) const |
| 5785 | 2009 { |
| 2010 Matrix tmp (b); | |
| 7788 | 2011 return solve (typ, tmp, info, rcon, sing_handler).column(static_cast<octave_idx_type> (0)); |
| 5785 | 2012 } |
| 2013 | |
| 2014 ComplexColumnVector | |
| 2015 Matrix::solve (MatrixType &typ, const ComplexColumnVector& b) const | |
| 2016 { | |
| 2017 ComplexMatrix tmp (*this); | |
| 2018 return tmp.solve (typ, b); | |
| 2019 } | |
| 2020 | |
| 2021 ComplexColumnVector | |
| 2022 Matrix::solve (MatrixType &typ, const ComplexColumnVector& b, | |
| 2023 octave_idx_type& info) const | |
| 2024 { | |
| 2025 ComplexMatrix tmp (*this); | |
| 2026 return tmp.solve (typ, b, info); | |
| 2027 } | |
| 2028 | |
| 2029 ComplexColumnVector | |
| 2030 Matrix::solve (MatrixType &typ, const ComplexColumnVector& b, | |
| 7788 | 2031 octave_idx_type& info, double& rcon) const |
| 5785 | 2032 { |
| 2033 ComplexMatrix tmp (*this); | |
| 7788 | 2034 return tmp.solve (typ, b, info, rcon); |
| 5785 | 2035 } |
| 2036 | |
| 2037 ComplexColumnVector | |
| 2038 Matrix::solve (MatrixType &typ, const ComplexColumnVector& b, | |
| 7788 | 2039 octave_idx_type& info, double& rcon, |
| 5785 | 2040 solve_singularity_handler sing_handler) const |
| 2041 { | |
| 2042 ComplexMatrix tmp (*this); | |
| 7788 | 2043 return tmp.solve(typ, b, info, rcon, sing_handler); |
| 5785 | 2044 } |
| 2045 | |
| 2046 Matrix | |
| 458 | 2047 Matrix::solve (const Matrix& b) const |
| 2048 { | |
| 5275 | 2049 octave_idx_type info; |
| 7788 | 2050 double rcon; |
| 2051 return solve (b, info, rcon, 0); | |
| 458 | 2052 } |
| 2053 | |
| 2054 Matrix | |
| 5275 | 2055 Matrix::solve (const Matrix& b, octave_idx_type& info) const |
| 458 | 2056 { |
| 7788 | 2057 double rcon; |
| 2058 return solve (b, info, rcon, 0); | |
| 458 | 2059 } |
| 2060 | |
| 2061 Matrix | |
| 7788 | 2062 Matrix::solve (const Matrix& b, octave_idx_type& info, double& rcon) const |
| 458 | 2063 { |
| 7788 | 2064 return solve (b, info, rcon, 0); |
| 3480 | 2065 } |
| 2066 | |
| 2067 Matrix | |
| 5785 | 2068 Matrix::solve (const Matrix& b, octave_idx_type& info, |
| 7788 | 2069 double& rcon, solve_singularity_handler sing_handler) const |
| 3480 | 2070 { |
| 5785 | 2071 MatrixType mattype (*this); |
| 7788 | 2072 return solve (mattype, b, info, rcon, sing_handler); |
| 458 | 2073 } |
| 2074 | |
| 2075 ComplexMatrix | |
| 2076 Matrix::solve (const ComplexMatrix& b) const | |
| 2077 { | |
| 2078 ComplexMatrix tmp (*this); | |
| 2079 return tmp.solve (b); | |
| 2080 } | |
| 2081 | |
| 2082 ComplexMatrix | |
| 5275 | 2083 Matrix::solve (const ComplexMatrix& b, octave_idx_type& info) const |
| 458 | 2084 { |
| 2085 ComplexMatrix tmp (*this); | |
| 2086 return tmp.solve (b, info); | |
| 2087 } | |
| 2088 | |
| 2089 ComplexMatrix | |
| 7788 | 2090 Matrix::solve (const ComplexMatrix& b, octave_idx_type& info, double& rcon) const |
| 458 | 2091 { |
| 2092 ComplexMatrix tmp (*this); | |
| 7788 | 2093 return tmp.solve (b, info, rcon); |
| 458 | 2094 } |
| 2095 | |
| 3480 | 2096 ComplexMatrix |
| 7788 | 2097 Matrix::solve (const ComplexMatrix& b, octave_idx_type& info, double& rcon, |
| 3480 | 2098 solve_singularity_handler sing_handler) const |
| 2099 { | |
| 2100 ComplexMatrix tmp (*this); | |
| 7788 | 2101 return tmp.solve (b, info, rcon, sing_handler); |
| 3480 | 2102 } |
| 2103 | |
| 458 | 2104 ColumnVector |
| 2105 Matrix::solve (const ColumnVector& b) const | |
| 2106 { | |
| 7788 | 2107 octave_idx_type info; double rcon; |
| 2108 return solve (b, info, rcon); | |
| 458 | 2109 } |
| 2110 | |
| 2111 ColumnVector | |
| 5275 | 2112 Matrix::solve (const ColumnVector& b, octave_idx_type& info) const |
| 458 | 2113 { |
| 7788 | 2114 double rcon; |
| 2115 return solve (b, info, rcon); | |
| 458 | 2116 } |
| 2117 | |
| 2118 ColumnVector | |
| 7788 | 2119 Matrix::solve (const ColumnVector& b, octave_idx_type& info, double& rcon) const |
| 458 | 2120 { |
| 7788 | 2121 return solve (b, info, rcon, 0); |
| 3480 | 2122 } |
| 2123 | |
| 2124 ColumnVector | |
| 7788 | 2125 Matrix::solve (const ColumnVector& b, octave_idx_type& info, double& rcon, |
| 3480 | 2126 solve_singularity_handler sing_handler) const |
| 2127 { | |
| 5785 | 2128 MatrixType mattype (*this); |
| 7788 | 2129 return solve (mattype, b, info, rcon, sing_handler); |
| 458 | 2130 } |
| 2131 | |
| 2132 ComplexColumnVector | |
| 2133 Matrix::solve (const ComplexColumnVector& b) const | |
| 2134 { | |
| 2135 ComplexMatrix tmp (*this); | |
| 2136 return tmp.solve (b); | |
| 2137 } | |
| 2138 | |
| 2139 ComplexColumnVector | |
| 5275 | 2140 Matrix::solve (const ComplexColumnVector& b, octave_idx_type& info) const |
| 458 | 2141 { |
| 2142 ComplexMatrix tmp (*this); | |
| 2143 return tmp.solve (b, info); | |
| 2144 } | |
| 2145 | |
| 2146 ComplexColumnVector | |
| 7788 | 2147 Matrix::solve (const ComplexColumnVector& b, octave_idx_type& info, double& rcon) const |
| 458 | 2148 { |
| 2149 ComplexMatrix tmp (*this); | |
| 7788 | 2150 return tmp.solve (b, info, rcon); |
| 458 | 2151 } |
| 2152 | |
| 3480 | 2153 ComplexColumnVector |
| 7788 | 2154 Matrix::solve (const ComplexColumnVector& b, octave_idx_type& info, double& rcon, |
| 3480 | 2155 solve_singularity_handler sing_handler) const |
| 2156 { | |
| 2157 ComplexMatrix tmp (*this); | |
| 7788 | 2158 return tmp.solve (b, info, rcon, sing_handler); |
| 3480 | 2159 } |
| 2160 | |
| 458 | 2161 Matrix |
| 2162 Matrix::lssolve (const Matrix& b) const | |
| 2163 { | |
| 5275 | 2164 octave_idx_type info; |
| 2165 octave_idx_type rank; | |
| 7788 | 2166 double rcon; |
| 2167 return lssolve (b, info, rank, rcon); | |
| 458 | 2168 } |
| 2169 | |
| 2170 Matrix | |
| 5275 | 2171 Matrix::lssolve (const Matrix& b, octave_idx_type& info) const |
| 458 | 2172 { |
| 5275 | 2173 octave_idx_type rank; |
| 7788 | 2174 double rcon; |
| 2175 return lssolve (b, info, rank, rcon); | |
| 458 | 2176 } |
| 2177 | |
| 2178 Matrix | |
| 7072 | 2179 Matrix::lssolve (const Matrix& b, octave_idx_type& info, |
| 2180 octave_idx_type& rank) const | |
| 458 | 2181 { |
| 7788 | 2182 double rcon; |
| 2183 return lssolve (b, info, rank, rcon); | |
| 7076 | 2184 } |
| 2185 | |
| 2186 Matrix | |
| 2187 Matrix::lssolve (const Matrix& b, octave_idx_type& info, | |
| 7788 | 2188 octave_idx_type& rank, double &rcon) const |
| 7076 | 2189 { |
| 1948 | 2190 Matrix retval; |
| 2191 | |
| 5275 | 2192 octave_idx_type nrhs = b.cols (); |
| 2193 | |
| 2194 octave_idx_type m = rows (); | |
| 2195 octave_idx_type n = cols (); | |
| 458 | 2196 |
| 6924 | 2197 if (m != b.rows ()) |
| 1948 | 2198 (*current_liboctave_error_handler) |
| 6924 | 2199 ("matrix dimension mismatch solution of linear equations"); |
| 2200 else if (m == 0 || n == 0 || b.cols () == 0) | |
| 2201 retval = Matrix (n, b.cols (), 0.0); | |
| 1948 | 2202 else |
| 458 | 2203 { |
| 7072 | 2204 volatile octave_idx_type minmn = (m < n ? m : n); |
| 2205 octave_idx_type maxmn = m > n ? m : n; | |
| 7788 | 2206 rcon = -1.0; |
| 7072 | 2207 if (m != n) |
| 2208 { | |
| 2209 retval = Matrix (maxmn, nrhs, 0.0); | |
| 2210 | |
| 2211 for (octave_idx_type j = 0; j < nrhs; j++) | |
| 2212 for (octave_idx_type i = 0; i < m; i++) | |
| 2213 retval.elem (i, j) = b.elem (i, j); | |
| 2214 } | |
| 2215 else | |
| 2216 retval = b; | |
| 2217 | |
| 1948 | 2218 Matrix atmp = *this; |
| 2219 double *tmp_data = atmp.fortran_vec (); | |
| 2220 | |
| 7072 | 2221 double *pretval = retval.fortran_vec (); |
| 2222 Array<double> s (minmn); | |
| 7071 | 2223 double *ps = s.fortran_vec (); |
| 1948 | 2224 |
| 7072 | 2225 // Ask DGELSD what the dimension of WORK should be. |
| 5275 | 2226 octave_idx_type lwork = -1; |
| 3752 | 2227 |
| 2228 Array<double> work (1); | |
| 1948 | 2229 |
| 7477 | 2230 octave_idx_type smlsiz; |
| 2231 F77_FUNC (xilaenv, XILAENV) (9, F77_CONST_CHAR_ARG2 ("DGELSD", 6), | |
| 2232 F77_CONST_CHAR_ARG2 (" ", 1), | |
| 7478 | 2233 0, 0, 0, 0, smlsiz |
| 7477 | 2234 F77_CHAR_ARG_LEN (6) |
| 7478 | 2235 F77_CHAR_ARG_LEN (1)); |
| 7079 | 2236 |
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2237 octave_idx_type mnthr; |
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2238 F77_FUNC (xilaenv, XILAENV) (6, F77_CONST_CHAR_ARG2 ("DGELSD", 6), |
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2239 F77_CONST_CHAR_ARG2 (" ", 1), |
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2240 m, n, nrhs, -1, mnthr |
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2241 F77_CHAR_ARG_LEN (6) |
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2242 F77_CHAR_ARG_LEN (1)); |
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2243 |
| 7079 | 2244 // We compute the size of iwork because DGELSD in older versions |
| 2245 // of LAPACK does not return it on a query call. | |
| 7124 | 2246 double dminmn = static_cast<double> (minmn); |
| 2247 double dsmlsizp1 = static_cast<double> (smlsiz+1); | |
| 7079 | 2248 #if defined (HAVE_LOG2) |
| 7367 | 2249 double tmp = log2 (dminmn / dsmlsizp1); |
| 7079 | 2250 #else |
| 7367 | 2251 double tmp = log (dminmn / dsmlsizp1) / log (2.0); |
| 7079 | 2252 #endif |
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2253 octave_idx_type nlvl = static_cast<octave_idx_type> (tmp) + 1; |
| 7079 | 2254 if (nlvl < 0) |
| 2255 nlvl = 0; | |
| 2256 | |
| 2257 octave_idx_type liwork = 3 * minmn * nlvl + 11 * minmn; | |
| 2258 if (liwork < 1) | |
| 2259 liwork = 1; | |
| 7072 | 2260 Array<octave_idx_type> iwork (liwork); |
| 2261 octave_idx_type* piwork = iwork.fortran_vec (); | |
| 2262 | |
| 2263 F77_XFCN (dgelsd, DGELSD, (m, n, nrhs, tmp_data, m, pretval, maxmn, | |
| 7788 | 2264 ps, rcon, rank, work.fortran_vec (), |
| 7072 | 2265 lwork, piwork, info)); |
| 1948 | 2266 |
| 7476 | 2267 // The workspace query is broken in at least LAPACK 3.0.0 |
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2268 // through 3.1.1 when n >= mnthr. The obtuse formula below |
| 7476 | 2269 // should provide sufficient workspace for DGELSD to operate |
| 2270 // efficiently. | |
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2271 if (n >= mnthr) |
| 7476 | 2272 { |
| 2273 const octave_idx_type wlalsd | |
| 2274 = 9*m + 2*m*smlsiz + 8*m*nlvl + m*nrhs + (smlsiz+1)*(smlsiz+1); | |
| 2275 | |
| 2276 octave_idx_type addend = m; | |
| 2277 | |
| 2278 if (2*m-4 > addend) | |
| 2279 addend = 2*m-4; | |
| 2280 | |
| 2281 if (nrhs > addend) | |
| 2282 addend = nrhs; | |
| 2283 | |
| 2284 if (n-3*m > addend) | |
| 2285 addend = n-3*m; | |
| 2286 | |
| 2287 if (wlalsd > addend) | |
| 2288 addend = wlalsd; | |
| 2289 | |
| 2290 const octave_idx_type lworkaround = 4*m + m*m + addend; | |
| 2291 | |
| 2292 if (work(0) < lworkaround) | |
| 2293 work(0) = lworkaround; | |
| 2294 } | |
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2295 else if (m >= n) |
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2296 { |
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2297 octave_idx_type lworkaround |
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2298 = 12*n + 2*n*smlsiz + 8*n*nlvl + n*nrhs + (smlsiz+1)*(smlsiz+1); |
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2299 |
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2300 if (work(0) < lworkaround) |
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2301 work(0) = lworkaround; |
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2302 } |
| 7476 | 2303 |
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2304 lwork = static_cast<octave_idx_type> (work(0)); |
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2305 work.resize (lwork); |
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2306 |
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2307 F77_XFCN (dgelsd, DGELSD, (m, n, nrhs, tmp_data, m, pretval, |
| 7788 | 2308 maxmn, ps, rcon, rank, |
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2309 work.fortran_vec (), lwork, |
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2310 piwork, info)); |
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2311 |
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2312 if (rank < minmn) |
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2313 (*current_liboctave_warning_handler) |
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2314 ("dgelsd: rank deficient %dx%d matrix, rank = %d", m, n, rank); |
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2315 if (s.elem (0) == 0.0) |
| 7788 | 2316 rcon = 0.0; |
| 1948 | 2317 else |
| 7788 | 2318 rcon = s.elem (minmn - 1) / s.elem (0); |
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2319 |
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|
2320 retval.resize (n, nrhs); |
| 458 | 2321 } |
| 2322 | |
| 2323 return retval; | |
| 2324 } | |
| 2325 | |
| 2326 ComplexMatrix | |
| 2327 Matrix::lssolve (const ComplexMatrix& b) const | |
| 2328 { | |
| 2329 ComplexMatrix tmp (*this); | |
| 5275 | 2330 octave_idx_type info; |
| 2331 octave_idx_type rank; | |
| 7788 | 2332 double rcon; |
| 2333 return tmp.lssolve (b, info, rank, rcon); | |
| 458 | 2334 } |
| 2335 | |
| 2336 ComplexMatrix | |
| 5275 | 2337 Matrix::lssolve (const ComplexMatrix& b, octave_idx_type& info) const |
| 458 | 2338 { |
| 2339 ComplexMatrix tmp (*this); | |
| 5275 | 2340 octave_idx_type rank; |
| 7788 | 2341 double rcon; |
| 2342 return tmp.lssolve (b, info, rank, rcon); | |
| 458 | 2343 } |
| 2344 | |
| 2345 ComplexMatrix | |
| 7076 | 2346 Matrix::lssolve (const ComplexMatrix& b, octave_idx_type& info, |
| 2347 octave_idx_type& rank) const | |
| 458 | 2348 { |
| 2349 ComplexMatrix tmp (*this); | |
| 7788 | 2350 double rcon; |
| 2351 return tmp.lssolve (b, info, rank, rcon); | |
| 7076 | 2352 } |
| 2353 | |
| 2354 ComplexMatrix | |
| 2355 Matrix::lssolve (const ComplexMatrix& b, octave_idx_type& info, | |
| 7788 | 2356 octave_idx_type& rank, double& rcon) const |
| 7076 | 2357 { |
| 2358 ComplexMatrix tmp (*this); | |
| 7788 | 2359 return tmp.lssolve (b, info, rank, rcon); |
| 458 | 2360 } |
| 2361 | |
| 2362 ColumnVector | |
| 2363 Matrix::lssolve (const ColumnVector& b) const | |
| 2364 { | |
| 5275 | 2365 octave_idx_type info; |
| 2366 octave_idx_type rank; | |
| 7788 | 2367 double rcon; |
| 2368 return lssolve (b, info, rank, rcon); | |
| 458 | 2369 } |
| 2370 | |
| 2371 ColumnVector | |
| 5275 | 2372 Matrix::lssolve (const ColumnVector& b, octave_idx_type& info) const |
| 458 | 2373 { |
| 5275 | 2374 octave_idx_type rank; |
| 7788 | 2375 double rcon; |
| 2376 return lssolve (b, info, rank, rcon); | |
| 458 | 2377 } |
| 2378 | |
| 2379 ColumnVector | |
| 7072 | 2380 Matrix::lssolve (const ColumnVector& b, octave_idx_type& info, |
| 2381 octave_idx_type& rank) const | |
| 458 | 2382 { |
| 7788 | 2383 double rcon; |
| 2384 return lssolve (b, info, rank, rcon); | |
| 7076 | 2385 } |
| 2386 | |
| 2387 ColumnVector | |
| 2388 Matrix::lssolve (const ColumnVector& b, octave_idx_type& info, | |
| 7788 | 2389 octave_idx_type& rank, double &rcon) const |
| 7076 | 2390 { |
| 1948 | 2391 ColumnVector retval; |
| 2392 | |
| 5275 | 2393 octave_idx_type nrhs = 1; |
| 2394 | |
| 2395 octave_idx_type m = rows (); | |
| 2396 octave_idx_type n = cols (); | |
| 458 | 2397 |
| 6924 | 2398 if (m != b.length ()) |
| 1948 | 2399 (*current_liboctave_error_handler) |
| 6924 | 2400 ("matrix dimension mismatch solution of linear equations"); |
| 2401 else if (m == 0 || n == 0) | |
| 2402 retval = ColumnVector (n, 0.0); | |
| 1948 | 2403 else |
| 458 | 2404 { |
| 7072 | 2405 volatile octave_idx_type minmn = (m < n ? m : n); |
| 2406 octave_idx_type maxmn = m > n ? m : n; | |
| 7788 | 2407 rcon = -1.0; |
| 7072 | 2408 |
| 2409 if (m != n) | |
| 2410 { | |
| 2411 retval = ColumnVector (maxmn, 0.0); | |
| 2412 | |
| 2413 for (octave_idx_type i = 0; i < m; i++) | |
| 2414 retval.elem (i) = b.elem (i); | |
| 2415 } | |
| 2416 else | |
| 2417 retval = b; | |
| 2418 | |
| 1948 | 2419 Matrix atmp = *this; |
| 2420 double *tmp_data = atmp.fortran_vec (); | |
| 2421 | |
| 7072 | 2422 double *pretval = retval.fortran_vec (); |
| 2423 Array<double> s (minmn); | |
| 7071 | 2424 double *ps = s.fortran_vec (); |
| 1948 | 2425 |
| 7072 | 2426 // Ask DGELSD what the dimension of WORK should be. |
| 5275 | 2427 octave_idx_type lwork = -1; |
| 3752 | 2428 |
| 2429 Array<double> work (1); | |
| 2430 | |
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2431 octave_idx_type smlsiz; |
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2432 F77_FUNC (xilaenv, XILAENV) (9, F77_CONST_CHAR_ARG2 ("DGELSD", 6), |
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2433 F77_CONST_CHAR_ARG2 (" ", 1), |
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2434 0, 0, 0, 0, smlsiz |
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2435 F77_CHAR_ARG_LEN (6) |
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2436 F77_CHAR_ARG_LEN (1)); |
| 7079 | 2437 |
| 2438 // We compute the size of iwork because DGELSD in older versions | |
| 2439 // of LAPACK does not return it on a query call. | |
| 7124 | 2440 double dminmn = static_cast<double> (minmn); |
| 2441 double dsmlsizp1 = static_cast<double> (smlsiz+1); | |
| 7079 | 2442 #if defined (HAVE_LOG2) |
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2443 double tmp = log2 (dminmn / dsmlsizp1); |
| 7079 | 2444 #else |
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2445 double tmp = log (dminmn / dsmlsizp1) / log (2.0); |
| 7079 | 2446 #endif |
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2447 octave_idx_type nlvl = static_cast<octave_idx_type> (tmp) + 1; |
| 7079 | 2448 if (nlvl < 0) |
| 2449 nlvl = 0; | |
| 2450 | |
| 2451 octave_idx_type liwork = 3 * minmn * nlvl + 11 * minmn; | |
| 2452 if (liwork < 1) | |
| 2453 liwork = 1; | |
| 7072 | 2454 Array<octave_idx_type> iwork (liwork); |
| 2455 octave_idx_type* piwork = iwork.fortran_vec (); | |
| 2456 | |
| 2457 F77_XFCN (dgelsd, DGELSD, (m, n, nrhs, tmp_data, m, pretval, maxmn, | |
| 7788 | 2458 ps, rcon, rank, work.fortran_vec (), |
| 7072 | 2459 lwork, piwork, info)); |
| 1948 | 2460 |
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2461 lwork = static_cast<octave_idx_type> (work(0)); |
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2462 work.resize (lwork); |
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2463 |
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2464 F77_XFCN (dgelsd, DGELSD, (m, n, nrhs, tmp_data, m, pretval, |
| 7788 | 2465 maxmn, ps, rcon, rank, |
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2466 work.fortran_vec (), lwork, |
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2467 piwork, info)); |
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2468 |
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2469 if (rank < minmn) |
| 1948 | 2470 { |
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2471 if (rank < minmn) |
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2472 (*current_liboctave_warning_handler) |
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2473 ("dgelsd: rank deficient %dx%d matrix, rank = %d", m, n, rank); |
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|
2474 if (s.elem (0) == 0.0) |
| 7788 | 2475 rcon = 0.0; |
|
7482
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2476 else |
| 7788 | 2477 rcon = s.elem (minmn - 1) / s.elem (0); |
| 1948 | 2478 } |
|
7482
29980c6b8604
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John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
2479 |
|
29980c6b8604
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parents:
7478
diff
changeset
|
2480 retval.resize (n, nrhs); |
| 458 | 2481 } |
| 2482 | |
| 2483 return retval; | |
| 2484 } | |
| 2485 | |
| 2486 ComplexColumnVector | |
| 2487 Matrix::lssolve (const ComplexColumnVector& b) const | |
| 2488 { | |
| 2489 ComplexMatrix tmp (*this); | |
| 7076 | 2490 octave_idx_type info; |
| 2491 octave_idx_type rank; | |
| 7788 | 2492 double rcon; |
| 2493 return tmp.lssolve (b, info, rank, rcon); | |
| 458 | 2494 } |
| 2495 | |
| 2496 ComplexColumnVector | |
| 5275 | 2497 Matrix::lssolve (const ComplexColumnVector& b, octave_idx_type& info) const |
| 458 | 2498 { |
| 2499 ComplexMatrix tmp (*this); | |
| 7076 | 2500 octave_idx_type rank; |
| 7788 | 2501 double rcon; |
| 2502 return tmp.lssolve (b, info, rank, rcon); | |
| 458 | 2503 } |
| 2504 | |
| 2505 ComplexColumnVector | |
| 7076 | 2506 Matrix::lssolve (const ComplexColumnVector& b, octave_idx_type& info, |
| 2507 octave_idx_type& rank) const | |
| 458 | 2508 { |
| 2509 ComplexMatrix tmp (*this); | |
| 7788 | 2510 double rcon; |
| 2511 return tmp.lssolve (b, info, rank, rcon); | |
| 7076 | 2512 } |
| 2513 | |
| 2514 ComplexColumnVector | |
| 2515 Matrix::lssolve (const ComplexColumnVector& b, octave_idx_type& info, | |
| 7788 | 2516 octave_idx_type& rank, double &rcon) const |
| 7076 | 2517 { |
| 2518 ComplexMatrix tmp (*this); | |
| 7788 | 2519 return tmp.lssolve (b, info, rank, rcon); |
| 458 | 2520 } |
| 2521 | |
| 1819 | 2522 // Constants for matrix exponential calculation. |
| 2523 | |
| 2524 static double padec [] = | |
| 2525 { | |
| 2526 5.0000000000000000e-1, | |
| 2527 1.1666666666666667e-1, | |
| 2528 1.6666666666666667e-2, | |
| 2529 1.6025641025641026e-3, | |
| 2530 1.0683760683760684e-4, | |
| 2531 4.8562548562548563e-6, | |
| 2532 1.3875013875013875e-7, | |
| 2533 1.9270852604185938e-9, | |
| 2534 }; | |
| 2535 | |
| 7400 | 2536 static void |
| 7788 | 2537 solve_singularity_warning (double rcon) |
| 7400 | 2538 { |
| 2539 (*current_liboctave_warning_handler) | |
| 2540 ("singular matrix encountered in expm calculation, rcond = %g", | |
| 7788 | 2541 rcon); |
| 7400 | 2542 } |
| 2543 | |
| 458 | 2544 Matrix& |
| 2545 Matrix::operator += (const DiagMatrix& a) | |
| 2546 { | |
| 5275 | 2547 octave_idx_type nr = rows (); |
| 2548 octave_idx_type nc = cols (); | |
| 2549 | |
| 2550 octave_idx_type a_nr = a.rows (); | |
| 2551 octave_idx_type a_nc = a.cols (); | |
| 2385 | 2552 |
| 2553 if (nr != a_nr || nc != a_nc) | |
| 458 | 2554 { |
| 2385 | 2555 gripe_nonconformant ("operator +=", nr, nc, a_nr, a_nc); |
| 458 | 2556 return *this; |
| 2557 } | |
| 2558 | |
| 5275 | 2559 for (octave_idx_type i = 0; i < a.length (); i++) |
| 458 | 2560 elem (i, i) += a.elem (i, i); |
| 2561 | |
| 2562 return *this; | |
| 2563 } | |
| 2564 | |
| 2565 Matrix& | |
| 2566 Matrix::operator -= (const DiagMatrix& a) | |
| 2567 { | |
| 5275 | 2568 octave_idx_type nr = rows (); |
| 2569 octave_idx_type nc = cols (); | |
| 2570 | |
| 2571 octave_idx_type a_nr = a.rows (); | |
| 2572 octave_idx_type a_nc = a.cols (); | |
| 2385 | 2573 |
| 2574 if (nr != a_nr || nc != a_nc) | |
| 458 | 2575 { |
| 2385 | 2576 gripe_nonconformant ("operator -=", nr, nc, a_nr, a_nc); |
| 458 | 2577 return *this; |
| 2578 } | |
| 2579 | |
| 5275 | 2580 for (octave_idx_type i = 0; i < a.length (); i++) |
| 458 | 2581 elem (i, i) -= a.elem (i, i); |
| 2582 | |
| 2583 return *this; | |
| 2584 } | |
| 2585 | |
| 2586 // unary operations | |
| 2587 | |
| 2964 | 2588 boolMatrix |
| 458 | 2589 Matrix::operator ! (void) const |
| 2590 { | |
| 5275 | 2591 octave_idx_type nr = rows (); |
| 2592 octave_idx_type nc = cols (); | |
| 458 | 2593 |
| 2964 | 2594 boolMatrix b (nr, nc); |
| 458 | 2595 |
| 5275 | 2596 for (octave_idx_type j = 0; j < nc; j++) |
| 2597 for (octave_idx_type i = 0; i < nr; i++) | |
| 458 | 2598 b.elem (i, j) = ! elem (i, j); |
| 2599 | |
| 2600 return b; | |
| 2601 } | |
| 2602 | |
| 1205 | 2603 // column vector by row vector -> matrix operations |
| 458 | 2604 |
| 1205 | 2605 Matrix |
| 2606 operator * (const ColumnVector& v, const RowVector& a) | |
| 458 | 2607 { |
| 1948 | 2608 Matrix retval; |
| 2609 | |
| 5275 | 2610 octave_idx_type len = v.length (); |
| 3233 | 2611 |
| 2612 if (len != 0) | |
| 1205 | 2613 { |
| 5275 | 2614 octave_idx_type a_len = a.length (); |
| 3233 | 2615 |
| 2616 retval.resize (len, a_len); | |
| 2617 double *c = retval.fortran_vec (); | |
| 2618 | |
| 4552 | 2619 F77_XFCN (dgemm, DGEMM, (F77_CONST_CHAR_ARG2 ("N", 1), |
| 2620 F77_CONST_CHAR_ARG2 ("N", 1), | |
| 2621 len, a_len, 1, 1.0, v.data (), len, | |
| 2622 a.data (), 1, 0.0, c, len | |
| 2623 F77_CHAR_ARG_LEN (1) | |
| 2624 F77_CHAR_ARG_LEN (1))); | |
| 1205 | 2625 } |
| 458 | 2626 |
| 1948 | 2627 return retval; |
| 458 | 2628 } |
| 2629 | |
| 2630 // other operations. | |
| 2631 | |
| 2632 Matrix | |
|
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convert mapper functions to new format
David Bateman <dbateman@free.fr>
parents:
7488
diff
changeset
|
2633 Matrix::map (dmapper fcn) const |
| 1205 | 2634 { |
|
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parents:
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diff
changeset
|
2635 return MArray2<double>::map<double> (func_ptr (fcn)); |
|
8c32f95c2639
convert mapper functions to new format
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parents:
7488
diff
changeset
|
2636 } |
|
8c32f95c2639
convert mapper functions to new format
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parents:
7488
diff
changeset
|
2637 |
|
8c32f95c2639
convert mapper functions to new format
David Bateman <dbateman@free.fr>
parents:
7488
diff
changeset
|
2638 ComplexMatrix |
|
8c32f95c2639
convert mapper functions to new format
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parents:
7488
diff
changeset
|
2639 Matrix::map (cmapper fcn) const |
|
8c32f95c2639
convert mapper functions to new format
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parents:
7488
diff
changeset
|
2640 { |
|
8c32f95c2639
convert mapper functions to new format
David Bateman <dbateman@free.fr>
parents:
7488
diff
changeset
|
2641 return MArray2<double>::map<Complex> (func_ptr (fcn)); |
| 1205 | 2642 } |
| 2643 | |
| 3248 | 2644 boolMatrix |
|
7503
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parents:
7488
diff
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|
2645 Matrix::map (bmapper fcn) const |
| 3248 | 2646 { |
|
7503
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diff
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|
2647 return MArray2<double>::map<bool> (func_ptr (fcn)); |
| 458 | 2648 } |
| 2649 | |
| 2385 | 2650 bool |
| 4431 | 2651 Matrix::any_element_is_negative (bool neg_zero) const |
| 2385 | 2652 { |
| 5275 | 2653 octave_idx_type nel = nelem (); |
| 2385 | 2654 |
| 4431 | 2655 if (neg_zero) |
| 2656 { | |
| 5275 | 2657 for (octave_idx_type i = 0; i < nel; i++) |
| 4634 | 2658 if (lo_ieee_signbit (elem (i))) |
| 2659 return true; | |
| 4431 | 2660 } |
| 2661 else | |
| 2662 { | |
| 5275 | 2663 for (octave_idx_type i = 0; i < nel; i++) |
| 4634 | 2664 if (elem (i) < 0) |
| 2665 return true; | |
| 4431 | 2666 } |
| 2385 | 2667 |
| 2668 return false; | |
| 2669 } | |
| 2670 | |
|
7922
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
2671 bool |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
2672 Matrix::any_element_is_nan (void) const |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
2673 { |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
2674 octave_idx_type nel = nelem (); |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
2675 |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
2676 for (octave_idx_type i = 0; i < nel; i++) |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
2677 { |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
2678 double val = elem (i); |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
2679 if (xisnan (val)) |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
2680 return true; |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
2681 } |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
2682 |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
2683 return false; |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
2684 } |
| 2385 | 2685 |
| 2686 bool | |
| 2687 Matrix::any_element_is_inf_or_nan (void) const | |
| 2688 { | |
| 5275 | 2689 octave_idx_type nel = nelem (); |
| 2690 | |
| 2691 for (octave_idx_type i = 0; i < nel; i++) | |
| 4634 | 2692 { |
| 2693 double val = elem (i); | |
| 2694 if (xisinf (val) || xisnan (val)) | |
| 2695 return true; | |
| 2696 } | |
| 2697 | |
| 2698 return false; | |
| 2385 | 2699 } |
| 2700 | |
| 2701 bool | |
| 5943 | 2702 Matrix::any_element_not_one_or_zero (void) const |
| 2703 { | |
| 2704 octave_idx_type nel = nelem (); | |
| 2705 | |
| 2706 for (octave_idx_type i = 0; i < nel; i++) | |
| 2707 { | |
| 2708 double val = elem (i); | |
| 2709 if (val != 0 && val != 1) | |
| 2710 return true; | |
| 2711 } | |
| 2712 | |
| 2713 return false; | |
| 2714 } | |
| 2715 | |
| 2716 bool | |
| 2385 | 2717 Matrix::all_elements_are_int_or_inf_or_nan (void) const |
| 2718 { | |
| 5275 | 2719 octave_idx_type nel = nelem (); |
| 2720 | |
| 2721 for (octave_idx_type i = 0; i < nel; i++) | |
| 4634 | 2722 { |
| 2723 double val = elem (i); | |
| 2724 if (xisnan (val) || D_NINT (val) == val) | |
| 2725 continue; | |
| 2726 else | |
| 2727 return false; | |
| 2728 } | |
| 2385 | 2729 |
| 2730 return true; | |
| 2731 } | |
| 2732 | |
| 1968 | 2733 // Return nonzero if any element of M is not an integer. Also extract |
| 2734 // the largest and smallest values and return them in MAX_VAL and MIN_VAL. | |
| 2735 | |
| 2385 | 2736 bool |
| 1968 | 2737 Matrix::all_integers (double& max_val, double& min_val) const |
| 2738 { | |
| 5275 | 2739 octave_idx_type nel = nelem (); |
| 4634 | 2740 |
| 2741 if (nel > 0) | |
| 1968 | 2742 { |
| 4634 | 2743 max_val = elem (0); |
| 2744 min_val = elem (0); | |
| 1968 | 2745 } |
| 2746 else | |
| 2385 | 2747 return false; |
| 1968 | 2748 |
| 5275 | 2749 for (octave_idx_type i = 0; i < nel; i++) |
| 4634 | 2750 { |
| 2751 double val = elem (i); | |
| 2752 | |
| 2753 if (val > max_val) | |
| 2754 max_val = val; | |
| 2755 | |
| 2756 if (val < min_val) | |
| 2757 min_val = val; | |
| 2758 | |
| 2759 if (D_NINT (val) != val) | |
| 2760 return false; | |
| 2761 } | |
| 2385 | 2762 |
| 2763 return true; | |
| 1968 | 2764 } |
| 2765 | |
| 2385 | 2766 bool |
| 1968 | 2767 Matrix::too_large_for_float (void) const |
| 2768 { | |
| 5275 | 2769 octave_idx_type nel = nelem (); |
| 2770 | |
| 2771 for (octave_idx_type i = 0; i < nel; i++) | |
| 4634 | 2772 { |
| 2773 double val = elem (i); | |
| 2774 | |
| 5389 | 2775 if (! (xisnan (val) || xisinf (val)) |
| 5387 | 2776 && fabs (val) > FLT_MAX) |
| 4634 | 2777 return true; |
| 2778 } | |
| 1968 | 2779 |
| 2385 | 2780 return false; |
| 1968 | 2781 } |
| 2782 | |
| 5775 | 2783 // FIXME Do these really belong here? Maybe they should be |
| 4015 | 2784 // in a base class? |
| 458 | 2785 |
| 2832 | 2786 boolMatrix |
| 4015 | 2787 Matrix::all (int dim) const |
| 458 | 2788 { |
| 4015 | 2789 MX_ALL_OP (dim); |
| 458 | 2790 } |
| 2791 | |
| 2832 | 2792 boolMatrix |
| 4015 | 2793 Matrix::any (int dim) const |
| 458 | 2794 { |
| 4015 | 2795 MX_ANY_OP (dim); |
| 458 | 2796 } |
| 2797 | |
| 2798 Matrix | |
| 3723 | 2799 Matrix::cumprod (int dim) const |
| 458 | 2800 { |
|
8736
53b4fdeacc2e
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Jaroslav Hajek <highegg@gmail.com>
parents:
8650
diff
changeset
|
2801 return do_mx_cum_op<Matrix> (*this, dim, mx_inline_cumprod); |
| 458 | 2802 } |
| 2803 | |
| 2804 Matrix | |
| 3723 | 2805 Matrix::cumsum (int dim) const |
| 458 | 2806 { |
|
8736
53b4fdeacc2e
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8650
diff
changeset
|
2807 return do_mx_cum_op<Matrix> (*this, dim, mx_inline_cumsum); |
| 458 | 2808 } |
| 2809 | |
| 2810 Matrix | |
| 3723 | 2811 Matrix::prod (int dim) const |
| 458 | 2812 { |
|
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parents:
8650
diff
changeset
|
2813 return do_mx_red_op<Matrix> (*this, dim, mx_inline_prod); |
| 458 | 2814 } |
| 2815 | |
| 2816 Matrix | |
| 3723 | 2817 Matrix::sum (int dim) const |
| 458 | 2818 { |
|
8736
53b4fdeacc2e
improve reduction functions
Jaroslav Hajek <highegg@gmail.com>
parents:
8650
diff
changeset
|
2819 return do_mx_red_op<Matrix> (*this, dim, mx_inline_sum); |
| 458 | 2820 } |
| 2821 | |
| 2822 Matrix | |
| 3723 | 2823 Matrix::sumsq (int dim) const |
| 458 | 2824 { |
|
8736
53b4fdeacc2e
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parents:
8650
diff
changeset
|
2825 return do_mx_red_op<Matrix> (*this, dim, mx_inline_sumsq); |
| 458 | 2826 } |
| 2827 | |
| 2385 | 2828 Matrix |
| 2829 Matrix::abs (void) const | |
| 2830 { | |
|
8650
a1ae2aae903e
abs,real,imag,conj: use code from mx-inlines rather than the generic map
Jaroslav Hajek <highegg@gmail.com>
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8614
diff
changeset
|
2831 return Matrix (mx_inline_fabs_dup (data (), length ()), |
|
a1ae2aae903e
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Jaroslav Hajek <highegg@gmail.com>
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diff
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|
2832 rows (), cols ()); |
| 2385 | 2833 } |
| 2834 | |
|
7620
36594d5bbe13
Move diag function into the octave_value class
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7544
diff
changeset
|
2835 Matrix |
| 5275 | 2836 Matrix::diag (octave_idx_type k) const |
| 458 | 2837 { |
|
7620
36594d5bbe13
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7544
diff
changeset
|
2838 return MArray2<double>::diag (k); |
| 458 | 2839 } |
| 2840 | |
| 2841 ColumnVector | |
| 2842 Matrix::row_min (void) const | |
| 2843 { | |
| 5275 | 2844 Array<octave_idx_type> dummy_idx; |
| 4587 | 2845 return row_min (dummy_idx); |
| 458 | 2846 } |
| 2847 | |
| 2848 ColumnVector | |
| 5275 | 2849 Matrix::row_min (Array<octave_idx_type>& idx_arg) const |
| 458 | 2850 { |
| 2851 ColumnVector result; | |
| 2852 | |
| 5275 | 2853 octave_idx_type nr = rows (); |
| 2854 octave_idx_type nc = cols (); | |
| 458 | 2855 |
| 2856 if (nr > 0 && nc > 0) | |
| 2857 { | |
| 2858 result.resize (nr); | |
| 4587 | 2859 idx_arg.resize (nr); |
| 458 | 2860 |
| 5275 | 2861 for (octave_idx_type i = 0; i < nr; i++) |
| 458 | 2862 { |
| 5275 | 2863 octave_idx_type idx_j; |
| 4469 | 2864 |
| 2865 double tmp_min = octave_NaN; | |
| 2866 | |
| 2867 for (idx_j = 0; idx_j < nc; idx_j++) | |
| 2354 | 2868 { |
| 4469 | 2869 tmp_min = elem (i, idx_j); |
| 2870 | |
| 5389 | 2871 if (! xisnan (tmp_min)) |
| 4469 | 2872 break; |
| 2873 } | |
| 2874 | |
| 5275 | 2875 for (octave_idx_type j = idx_j+1; j < nc; j++) |
| 4469 | 2876 { |
| 2877 double tmp = elem (i, j); | |
| 2878 | |
| 5389 | 2879 if (xisnan (tmp)) |
| 4469 | 2880 continue; |
| 2881 else if (tmp < tmp_min) | |
| 2354 | 2882 { |
| 4469 | 2883 idx_j = j; |
| 2884 tmp_min = tmp; | |
| 2354 | 2885 } |
| 2886 } | |
| 2887 | |
| 4469 | 2888 result.elem (i) = tmp_min; |
| 5389 | 2889 idx_arg.elem (i) = xisnan (tmp_min) ? 0 : idx_j; |
| 458 | 2890 } |
| 2891 } | |
| 2892 | |
| 2893 return result; | |
| 2894 } | |
| 2895 | |
| 2896 ColumnVector | |
| 2897 Matrix::row_max (void) const | |
| 2898 { | |
| 5275 | 2899 Array<octave_idx_type> dummy_idx; |
| 4587 | 2900 return row_max (dummy_idx); |
| 458 | 2901 } |
| 2902 | |
| 2903 ColumnVector | |
| 5275 | 2904 Matrix::row_max (Array<octave_idx_type>& idx_arg) const |
| 458 | 2905 { |
| 2906 ColumnVector result; | |
| 2907 | |
| 5275 | 2908 octave_idx_type nr = rows (); |
| 2909 octave_idx_type nc = cols (); | |
| 458 | 2910 |
| 2911 if (nr > 0 && nc > 0) | |
| 2912 { | |
| 2913 result.resize (nr); | |
| 4587 | 2914 idx_arg.resize (nr); |
| 458 | 2915 |
| 5275 | 2916 for (octave_idx_type i = 0; i < nr; i++) |
| 458 | 2917 { |
| 5275 | 2918 octave_idx_type idx_j; |
| 4469 | 2919 |
| 2920 double tmp_max = octave_NaN; | |
| 2921 | |
| 2922 for (idx_j = 0; idx_j < nc; idx_j++) | |
| 2354 | 2923 { |
| 4469 | 2924 tmp_max = elem (i, idx_j); |
| 2925 | |
| 5389 | 2926 if (! xisnan (tmp_max)) |
| 4469 | 2927 break; |
| 2928 } | |
| 2929 | |
| 5275 | 2930 for (octave_idx_type j = idx_j+1; j < nc; j++) |
| 4469 | 2931 { |
| 2932 double tmp = elem (i, j); | |
| 2933 | |
| 5389 | 2934 if (xisnan (tmp)) |
| 4469 | 2935 continue; |
| 2936 else if (tmp > tmp_max) | |
| 2354 | 2937 { |
| 4469 | 2938 idx_j = j; |
| 2939 tmp_max = tmp; | |
| 2354 | 2940 } |
| 2941 } | |
| 2942 | |
| 4469 | 2943 result.elem (i) = tmp_max; |
| 5389 | 2944 idx_arg.elem (i) = xisnan (tmp_max) ? 0 : idx_j; |
| 458 | 2945 } |
| 2946 } | |
| 2947 | |
| 2948 return result; | |
| 2949 } | |
| 2950 | |
| 2951 RowVector | |
| 2952 Matrix::column_min (void) const | |
| 2953 { | |
| 5275 | 2954 Array<octave_idx_type> dummy_idx; |
| 4587 | 2955 return column_min (dummy_idx); |
| 458 | 2956 } |
| 2354 | 2957 |
| 458 | 2958 RowVector |
| 5275 | 2959 Matrix::column_min (Array<octave_idx_type>& idx_arg) const |
| 458 | 2960 { |
| 2961 RowVector result; | |
| 2962 | |
| 5275 | 2963 octave_idx_type nr = rows (); |
| 2964 octave_idx_type nc = cols (); | |
| 458 | 2965 |
| 2966 if (nr > 0 && nc > 0) | |
| 2967 { | |
| 2968 result.resize (nc); | |
| 4587 | 2969 idx_arg.resize (nc); |
| 458 | 2970 |
| 5275 | 2971 for (octave_idx_type j = 0; j < nc; j++) |
| 458 | 2972 { |
| 5275 | 2973 octave_idx_type idx_i; |
| 4469 | 2974 |
| 2975 double tmp_min = octave_NaN; | |
| 2976 | |
| 2977 for (idx_i = 0; idx_i < nr; idx_i++) | |
| 2354 | 2978 { |
| 4469 | 2979 tmp_min = elem (idx_i, j); |
| 2980 | |
| 5389 | 2981 if (! xisnan (tmp_min)) |
| 4469 | 2982 break; |
| 2983 } | |
| 2984 | |
| 5275 | 2985 for (octave_idx_type i = idx_i+1; i < nr; i++) |
| 4469 | 2986 { |
| 2987 double tmp = elem (i, j); | |
| 2988 | |
| 5389 | 2989 if (xisnan (tmp)) |
| 4469 | 2990 continue; |
| 2991 else if (tmp < tmp_min) | |
| 2354 | 2992 { |
| 4469 | 2993 idx_i = i; |
| 2994 tmp_min = tmp; | |
| 2354 | 2995 } |
| 2996 } | |
| 2997 | |
| 4469 | 2998 result.elem (j) = tmp_min; |
| 5389 | 2999 idx_arg.elem (j) = xisnan (tmp_min) ? 0 : idx_i; |
| 458 | 3000 } |
| 3001 } | |
| 3002 | |
| 3003 return result; | |
| 3004 } | |
| 3005 | |
| 2354 | 3006 RowVector |
| 3007 Matrix::column_max (void) const | |
| 3008 { | |
| 5275 | 3009 Array<octave_idx_type> dummy_idx; |
| 4587 | 3010 return column_max (dummy_idx); |
| 2354 | 3011 } |
| 458 | 3012 |
| 3013 RowVector | |
| 5275 | 3014 Matrix::column_max (Array<octave_idx_type>& idx_arg) const |
| 458 | 3015 { |
| 3016 RowVector result; | |
| 3017 | |
| 5275 | 3018 octave_idx_type nr = rows (); |
| 3019 octave_idx_type nc = cols (); | |
| 458 | 3020 |
| 3021 if (nr > 0 && nc > 0) | |
| 3022 { | |
| 3023 result.resize (nc); | |
| 4587 | 3024 idx_arg.resize (nc); |
| 458 | 3025 |
| 5275 | 3026 for (octave_idx_type j = 0; j < nc; j++) |
| 458 | 3027 { |
| 5275 | 3028 octave_idx_type idx_i; |
| 4469 | 3029 |
| 3030 double tmp_max = octave_NaN; | |
| 3031 | |
| 3032 for (idx_i = 0; idx_i < nr; idx_i++) | |
| 2354 | 3033 { |
| 4469 | 3034 tmp_max = elem (idx_i, j); |
| 3035 | |
| 5389 | 3036 if (! xisnan (tmp_max)) |
| 4469 | 3037 break; |
| 3038 } | |
| 3039 | |
| 5275 | 3040 for (octave_idx_type i = idx_i+1; i < nr; i++) |
| 4469 | 3041 { |
| 3042 double tmp = elem (i, j); | |
| 3043 | |
| 5389 | 3044 if (xisnan (tmp)) |
| 4469 | 3045 continue; |
| 3046 else if (tmp > tmp_max) | |
| 2354 | 3047 { |
| 4469 | 3048 idx_i = i; |
| 3049 tmp_max = tmp; | |
| 2354 | 3050 } |
| 3051 } | |
| 3052 | |
| 4469 | 3053 result.elem (j) = tmp_max; |
| 5389 | 3054 idx_arg.elem (j) = xisnan (tmp_max) ? 0 : idx_i; |
| 458 | 3055 } |
| 3056 } | |
| 3057 | |
| 3058 return result; | |
| 3059 } | |
| 3060 | |
| 3504 | 3061 std::ostream& |
| 3062 operator << (std::ostream& os, const Matrix& a) | |
| 458 | 3063 { |
| 5275 | 3064 for (octave_idx_type i = 0; i < a.rows (); i++) |
| 458 | 3065 { |
| 5275 | 3066 for (octave_idx_type j = 0; j < a.cols (); j++) |
| 4130 | 3067 { |
| 3068 os << " "; | |
| 3069 octave_write_double (os, a.elem (i, j)); | |
| 3070 } | |
| 458 | 3071 os << "\n"; |
| 3072 } | |
| 3073 return os; | |
| 3074 } | |
| 3075 | |
| 3504 | 3076 std::istream& |
| 3077 operator >> (std::istream& is, Matrix& a) | |
| 458 | 3078 { |
| 5275 | 3079 octave_idx_type nr = a.rows (); |
| 3080 octave_idx_type nc = a.cols (); | |
| 458 | 3081 |
| 3082 if (nr < 1 || nc < 1) | |
| 3504 | 3083 is.clear (std::ios::badbit); |
| 458 | 3084 else |
| 3085 { | |
| 3086 double tmp; | |
| 5275 | 3087 for (octave_idx_type i = 0; i < nr; i++) |
| 3088 for (octave_idx_type j = 0; j < nc; j++) | |
| 458 | 3089 { |
| 4130 | 3090 tmp = octave_read_double (is); |
| 458 | 3091 if (is) |
| 3092 a.elem (i, j) = tmp; | |
| 3093 else | |
| 2795 | 3094 goto done; |
| 458 | 3095 } |
| 3096 } | |
| 3097 | |
| 2795 | 3098 done: |
| 3099 | |
| 458 | 3100 return is; |
| 3101 } | |
| 3102 | |
| 1819 | 3103 Matrix |
| 3104 Givens (double x, double y) | |
| 3105 { | |
| 3106 double cc, s, temp_r; | |
| 3107 | |
| 3887 | 3108 F77_FUNC (dlartg, DLARTG) (x, y, cc, s, temp_r); |
| 1819 | 3109 |
| 3110 Matrix g (2, 2); | |
| 3111 | |
| 3112 g.elem (0, 0) = cc; | |
| 3113 g.elem (1, 1) = cc; | |
| 3114 g.elem (0, 1) = s; | |
| 3115 g.elem (1, 0) = -s; | |
| 3116 | |
| 3117 return g; | |
| 3118 } | |
| 3119 | |
| 3120 Matrix | |
| 3121 Sylvester (const Matrix& a, const Matrix& b, const Matrix& c) | |
| 3122 { | |
| 3123 Matrix retval; | |
| 3124 | |
| 5775 | 3125 // FIXME -- need to check that a, b, and c are all the same |
| 1819 | 3126 // size. |
| 3127 | |
| 3128 // Compute Schur decompositions. | |
| 3129 | |
| 3130 SCHUR as (a, "U"); | |
| 3131 SCHUR bs (b, "U"); | |
| 3132 | |
| 3133 // Transform c to new coordinates. | |
| 3134 | |
| 3135 Matrix ua = as.unitary_matrix (); | |
| 3136 Matrix sch_a = as.schur_matrix (); | |
| 3137 | |
| 3138 Matrix ub = bs.unitary_matrix (); | |
| 3139 Matrix sch_b = bs.schur_matrix (); | |
| 3140 | |
| 3141 Matrix cx = ua.transpose () * c * ub; | |
| 3142 | |
| 3143 // Solve the sylvester equation, back-transform, and return the | |
| 3144 // solution. | |
| 3145 | |
| 5275 | 3146 octave_idx_type a_nr = a.rows (); |
| 3147 octave_idx_type b_nr = b.rows (); | |
| 1819 | 3148 |
| 3149 double scale; | |
| 5275 | 3150 octave_idx_type info; |
| 1819 | 3151 |
| 1950 | 3152 double *pa = sch_a.fortran_vec (); |
| 3153 double *pb = sch_b.fortran_vec (); | |
| 3154 double *px = cx.fortran_vec (); | |
| 3155 | |
| 4552 | 3156 F77_XFCN (dtrsyl, DTRSYL, (F77_CONST_CHAR_ARG2 ("N", 1), |
| 3157 F77_CONST_CHAR_ARG2 ("N", 1), | |
| 3158 1, a_nr, b_nr, pa, a_nr, pb, | |
| 3159 b_nr, px, a_nr, scale, info | |
| 3160 F77_CHAR_ARG_LEN (1) | |
| 3161 F77_CHAR_ARG_LEN (1))); | |
| 1950 | 3162 |
| 3163 | |
|
7482
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
3164 // FIXME -- check info? |
| 1819 | 3165 |
|
7482
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
3166 retval = -ua*cx*ub.transpose (); |
| 1819 | 3167 |
| 3168 return retval; | |
| 3169 } | |
| 3170 | |
| 2828 | 3171 // matrix by matrix -> matrix operations |
| 3172 | |
| 6162 | 3173 /* Simple Dot Product, Matrix-Vector and Matrix-Matrix Unit tests |
| 3174 %!assert([1 2 3] * [ 4 ; 5 ; 6], 32, 1e-14) | |
| 3175 %!assert([1 2 ; 3 4 ] * [5 ; 6], [17 ; 39 ], 1e-14) | |
| 3176 %!assert([1 2 ; 3 4 ] * [5 6 ; 7 8], [19 22; 43 50], 1e-14) | |
| 3177 */ | |
| 3178 | |
| 3179 /* Test some simple identities | |
| 3180 %!shared M, cv, rv | |
| 3181 %! M = randn(10,10); | |
| 3182 %! cv = randn(10,1); | |
| 3183 %! rv = randn(1,10); | |
| 3184 %!assert([M*cv,M*cv],M*[cv,cv],1e-14) | |
| 3185 %!assert([rv*M;rv*M],[rv;rv]*M,1e-14) | |
| 3186 %!assert(2*rv*cv,[rv,rv]*[cv;cv],1e-14) | |
| 3187 */ | |
| 3188 | |
|
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
|
3189 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
|
3190 get_blas_trans_arg (bool trans) |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3191 { |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3192 static char blas_notrans = 'N', blas_trans = 'T'; |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3193 return (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
|
3194 } |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3195 |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3196 // 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
|
3197 |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3198 Matrix |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3199 xgemm (bool transa, const Matrix& a, bool transb, const Matrix& b) |
| 2828 | 3200 { |
| 3201 Matrix retval; | |
| 3202 | |
|
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
|
3203 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
|
3204 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
|
3205 |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3206 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
|
3207 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
|
3208 |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3209 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
|
3210 gripe_nonconformant ("operator *", a_nr, a_nc, b_nr, b_nc); |
| 2828 | 3211 else |
| 3212 { | |
|
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
|
3213 if (a_nr == 0 || a_nc == 0 || b_nc == 0) |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3214 retval.resize (a_nr, b_nc, 0.0); |
|
7801
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3215 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
|
3216 { |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3217 octave_idx_type lda = a.rows (); |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3218 |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3219 retval.resize (a_nr, b_nc); |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3220 double *c = retval.fortran_vec (); |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3221 |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3222 const char *ctransa = get_blas_trans_arg (transa); |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3223 F77_XFCN (dsyrk, DSYRK, (F77_CONST_CHAR_ARG2 ("U", 1), |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3224 F77_CONST_CHAR_ARG2 (ctransa, 1), |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3225 a_nr, a_nc, 1.0, |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3226 a.data (), lda, 0.0, c, a_nr |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3227 F77_CHAR_ARG_LEN (1) |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3228 F77_CHAR_ARG_LEN (1))); |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3229 for (int j = 0; j < a_nr; j++) |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3230 for (int i = 0; i < j; i++) |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3231 retval.xelem (j,i) = retval.xelem (i,j); |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3232 |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3233 } |
| 2828 | 3234 else |
| 3235 { | |
|
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
|
3236 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
|
3237 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
|
3238 |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3239 retval.resize (a_nr, b_nc); |
| 2828 | 3240 double *c = retval.fortran_vec (); |
| 3241 | |
|
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
|
3242 if (b_nc == 1) |
| 5983 | 3243 { |
|
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
|
3244 if (a_nr == 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
|
3245 F77_FUNC (xddot, XDDOT) (a_nc, a.data (), 1, b.data (), 1, *c); |
| 5983 | 3246 else |
| 6390 | 3247 { |
|
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
|
3248 const char *ctransa = get_blas_trans_arg (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
|
3249 F77_XFCN (dgemv, DGEMV, (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
|
3250 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
|
3251 b.data (), 1, 0.0, c, 1 |
| 6390 | 3252 F77_CHAR_ARG_LEN (1))); |
| 3253 } | |
| 5983 | 3254 } |
|
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
|
3255 else if (a_nr == 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
|
3256 { |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3257 const char *crevtransb = get_blas_trans_arg (! 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
|
3258 F77_XFCN (dgemv, DGEMV, (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
|
3259 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
|
3260 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
|
3261 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
|
3262 } |
| 5983 | 3263 else |
| 6390 | 3264 { |
|
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
|
3265 const char *ctransa = get_blas_trans_arg (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
|
3266 const char *ctransb = get_blas_trans_arg (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
|
3267 F77_XFCN (dgemm, DGEMM, (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
|
3268 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
|
3269 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
|
3270 lda, b.data (), ldb, 0.0, c, a_nr |
| 6390 | 3271 F77_CHAR_ARG_LEN (1) |
| 3272 F77_CHAR_ARG_LEN (1))); | |
| 3273 } | |
| 2828 | 3274 } |
| 3275 } | |
| 3276 | |
| 3277 return retval; | |
| 3278 } | |
| 3279 | |
|
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
|
3280 Matrix |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3281 operator * (const Matrix& a, const Matrix& 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
|
3282 { |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3283 return xgemm (false, a, 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
|
3284 } |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3285 |
| 5775 | 3286 // FIXME -- it would be nice to share code among the min/max |
| 4309 | 3287 // functions below. |
| 3288 | |
| 3289 #define EMPTY_RETURN_CHECK(T) \ | |
| 3290 if (nr == 0 || nc == 0) \ | |
| 3291 return T (nr, nc); | |
| 3292 | |
| 3293 Matrix | |
| 3294 min (double d, const Matrix& m) | |
| 3295 { | |
| 5275 | 3296 octave_idx_type nr = m.rows (); |
| 3297 octave_idx_type nc = m.columns (); | |
| 4309 | 3298 |
| 3299 EMPTY_RETURN_CHECK (Matrix); | |
| 3300 | |
| 3301 Matrix result (nr, nc); | |
| 3302 | |
| 5275 | 3303 for (octave_idx_type j = 0; j < nc; j++) |
| 3304 for (octave_idx_type i = 0; i < nr; i++) | |
| 4309 | 3305 { |
| 3306 OCTAVE_QUIT; | |
| 3307 result (i, j) = xmin (d, m (i, j)); | |
| 3308 } | |
| 3309 | |
| 3310 return result; | |
| 3311 } | |
| 3312 | |
| 3313 Matrix | |
| 3314 min (const Matrix& m, double d) | |
| 3315 { | |
| 5275 | 3316 octave_idx_type nr = m.rows (); |
| 3317 octave_idx_type nc = m.columns (); | |
| 4309 | 3318 |
| 3319 EMPTY_RETURN_CHECK (Matrix); | |
| 3320 | |
| 3321 Matrix result (nr, nc); | |
| 3322 | |
| 5275 | 3323 for (octave_idx_type j = 0; j < nc; j++) |
| 3324 for (octave_idx_type i = 0; i < nr; i++) | |
| 4309 | 3325 { |
| 3326 OCTAVE_QUIT; | |
| 3327 result (i, j) = xmin (m (i, j), d); | |
| 3328 } | |
| 3329 | |
| 3330 return result; | |
| 3331 } | |
| 3332 | |
| 3333 Matrix | |
| 3334 min (const Matrix& a, const Matrix& b) | |
| 3335 { | |
| 5275 | 3336 octave_idx_type nr = a.rows (); |
| 3337 octave_idx_type nc = a.columns (); | |
| 4309 | 3338 |
| 3339 if (nr != b.rows () || nc != b.columns ()) | |
| 3340 { | |
| 3341 (*current_liboctave_error_handler) | |
| 3342 ("two-arg min expecting args of same size"); | |
| 3343 return Matrix (); | |
| 3344 } | |
| 3345 | |
| 3346 EMPTY_RETURN_CHECK (Matrix); | |
| 3347 | |
| 3348 Matrix result (nr, nc); | |
| 3349 | |
| 5275 | 3350 for (octave_idx_type j = 0; j < nc; j++) |
| 3351 for (octave_idx_type i = 0; i < nr; i++) | |
| 4309 | 3352 { |
| 3353 OCTAVE_QUIT; | |
| 3354 result (i, j) = xmin (a (i, j), b (i, j)); | |
| 3355 } | |
| 3356 | |
| 3357 return result; | |
| 3358 } | |
| 3359 | |
| 3360 Matrix | |
| 3361 max (double d, const Matrix& m) | |
| 3362 { | |
| 5275 | 3363 octave_idx_type nr = m.rows (); |
| 3364 octave_idx_type nc = m.columns (); | |
| 4309 | 3365 |
| 3366 EMPTY_RETURN_CHECK (Matrix); | |
| 3367 | |
| 3368 Matrix result (nr, nc); | |
| 3369 | |
| 5275 | 3370 for (octave_idx_type j = 0; j < nc; j++) |
| 3371 for (octave_idx_type i = 0; i < nr; i++) | |
| 4309 | 3372 { |
| 3373 OCTAVE_QUIT; | |
| 3374 result (i, j) = xmax (d, m (i, j)); | |
| 3375 } | |
| 3376 | |
| 3377 return result; | |
| 3378 } | |
| 3379 | |
| 3380 Matrix | |
| 3381 max (const Matrix& m, double d) | |
| 3382 { | |
| 5275 | 3383 octave_idx_type nr = m.rows (); |
| 3384 octave_idx_type nc = m.columns (); | |
| 4309 | 3385 |
| 3386 EMPTY_RETURN_CHECK (Matrix); | |
| 3387 | |
| 3388 Matrix result (nr, nc); | |
| 3389 | |
| 5275 | 3390 for (octave_idx_type j = 0; j < nc; j++) |
| 3391 for (octave_idx_type i = 0; i < nr; i++) | |
| 4309 | 3392 { |
| 3393 OCTAVE_QUIT; | |
| 3394 result (i, j) = xmax (m (i, j), d); | |
| 3395 } | |
| 3396 | |
| 3397 return result; | |
| 3398 } | |
| 3399 | |
| 3400 Matrix | |
| 3401 max (const Matrix& a, const Matrix& b) | |
| 3402 { | |
| 5275 | 3403 octave_idx_type nr = a.rows (); |
| 3404 octave_idx_type nc = a.columns (); | |
| 4309 | 3405 |
| 3406 if (nr != b.rows () || nc != b.columns ()) | |
| 3407 { | |
| 3408 (*current_liboctave_error_handler) | |
| 3409 ("two-arg max expecting args of same size"); | |
| 3410 return Matrix (); | |
| 3411 } | |
| 3412 | |
| 3413 EMPTY_RETURN_CHECK (Matrix); | |
| 3414 | |
| 3415 Matrix result (nr, nc); | |
| 3416 | |
| 5275 | 3417 for (octave_idx_type j = 0; j < nc; j++) |
| 3418 for (octave_idx_type i = 0; i < nr; i++) | |
| 4309 | 3419 { |
| 3420 OCTAVE_QUIT; | |
| 3421 result (i, j) = xmax (a (i, j), b (i, j)); | |
| 3422 } | |
| 3423 | |
| 3424 return result; | |
| 3425 } | |
| 3426 | |
| 2870 | 3427 MS_CMP_OPS(Matrix, , double, ) |
| 3504 | 3428 MS_BOOL_OPS(Matrix, double, 0.0) |
| 2870 | 3429 |
| 3430 SM_CMP_OPS(double, , Matrix, ) | |
| 3504 | 3431 SM_BOOL_OPS(double, Matrix, 0.0) |
| 2870 | 3432 |
| 3433 MM_CMP_OPS(Matrix, , Matrix, ) | |
| 3504 | 3434 MM_BOOL_OPS(Matrix, Matrix, 0.0) |
| 2870 | 3435 |
| 458 | 3436 /* |
| 3437 ;;; Local Variables: *** | |
| 3438 ;;; mode: C++ *** | |
| 3439 ;;; End: *** | |
| 3440 */ |