Mercurial > hg > octave-lyh
annotate liboctave/dMatrix.cc @ 8614:5114ea5a41b5
use shallow copying in Matrix/RowVector/ColumnVector conversions
| author | Jaroslav Hajek <highegg@gmail.com> |
|---|---|
| date | Wed, 28 Jan 2009 09:33:27 +0100 |
| parents | c187f0e3a7ee |
| children | a1ae2aae903e |
| 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 { | |
| 5275 | 586 octave_idx_type a_len = a.length (); |
| 1205 | 587 Matrix retval; |
| 588 if (a_len > 0) | |
| 3769 | 589 retval = Matrix (mx_inline_real_dup (a.data (), a_len), |
| 590 a.rows (), a.cols ()); | |
| 1205 | 591 return retval; |
| 592 } | |
| 593 | |
| 594 Matrix | |
| 595 imag (const ComplexMatrix& a) | |
| 596 { | |
| 5275 | 597 octave_idx_type a_len = a.length (); |
| 1205 | 598 Matrix retval; |
| 599 if (a_len > 0) | |
| 3769 | 600 retval = Matrix (mx_inline_imag_dup (a.data (), a_len), |
| 601 a.rows (), a.cols ()); | |
| 1205 | 602 return retval; |
| 603 } | |
| 604 | |
| 605 Matrix | |
| 5275 | 606 Matrix::extract (octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2) const |
| 458 | 607 { |
| 5275 | 608 if (r1 > r2) { octave_idx_type tmp = r1; r1 = r2; r2 = tmp; } |
| 609 if (c1 > c2) { octave_idx_type tmp = c1; c1 = c2; c2 = tmp; } | |
| 610 | |
| 611 octave_idx_type new_r = r2 - r1 + 1; | |
| 612 octave_idx_type new_c = c2 - c1 + 1; | |
| 458 | 613 |
| 614 Matrix result (new_r, new_c); | |
| 615 | |
| 5275 | 616 for (octave_idx_type j = 0; j < new_c; j++) |
| 617 for (octave_idx_type i = 0; i < new_r; i++) | |
| 4316 | 618 result.xelem (i, j) = elem (r1+i, c1+j); |
| 619 | |
| 620 return result; | |
| 621 } | |
| 622 | |
| 623 Matrix | |
| 5275 | 624 Matrix::extract_n (octave_idx_type r1, octave_idx_type c1, octave_idx_type nr, octave_idx_type nc) const |
| 4316 | 625 { |
| 626 Matrix result (nr, nc); | |
| 627 | |
| 5275 | 628 for (octave_idx_type j = 0; j < nc; j++) |
| 629 for (octave_idx_type i = 0; i < nr; i++) | |
| 4316 | 630 result.xelem (i, j) = elem (r1+i, c1+j); |
| 458 | 631 |
| 632 return result; | |
| 633 } | |
| 634 | |
| 635 // extract row or column i. | |
| 636 | |
| 637 RowVector | |
| 5275 | 638 Matrix::row (octave_idx_type i) const |
| 458 | 639 { |
|
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640 return MArray<double> (index (idx_vector (i), idx_vector::colon)); |
| 458 | 641 } |
| 642 | |
| 643 ColumnVector | |
| 5275 | 644 Matrix::column (octave_idx_type i) const |
| 458 | 645 { |
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646 return MArray<double> (index (idx_vector::colon, idx_vector (i))); |
| 458 | 647 } |
| 648 | |
| 649 Matrix | |
| 650 Matrix::inverse (void) const | |
| 651 { | |
| 5275 | 652 octave_idx_type info; |
| 7788 | 653 double rcon; |
| 6207 | 654 MatrixType mattype (*this); |
| 7788 | 655 return inverse (mattype, info, rcon, 0, 0); |
| 6207 | 656 } |
| 657 | |
| 658 Matrix | |
| 6479 | 659 Matrix::inverse (octave_idx_type& info) const |
| 660 { | |
| 7788 | 661 double rcon; |
| 6479 | 662 MatrixType mattype (*this); |
| 7788 | 663 return inverse (mattype, info, rcon, 0, 0); |
| 6479 | 664 } |
| 665 | |
| 666 Matrix | |
| 7788 | 667 Matrix::inverse (octave_idx_type& info, double& rcon, int force, |
| 6479 | 668 int calc_cond) const |
| 669 { | |
| 670 MatrixType mattype (*this); | |
| 7788 | 671 return inverse (mattype, info, rcon, force, calc_cond); |
| 6479 | 672 } |
| 673 | |
| 674 Matrix | |
| 6207 | 675 Matrix::inverse (MatrixType& mattype) const |
| 676 { | |
| 677 octave_idx_type info; | |
| 7788 | 678 double rcon; |
| 679 return inverse (mattype, info, rcon, 0, 0); | |
| 6207 | 680 } |
| 681 | |
| 682 Matrix | |
| 683 Matrix::inverse (MatrixType &mattype, octave_idx_type& info) const | |
| 684 { | |
| 7788 | 685 double rcon; |
| 686 return inverse (mattype, info, rcon, 0, 0); | |
| 458 | 687 } |
| 688 | |
| 689 Matrix | |
| 7788 | 690 Matrix::tinverse (MatrixType &mattype, octave_idx_type& info, double& rcon, |
| 6207 | 691 int force, int calc_cond) const |
| 458 | 692 { |
| 6207 | 693 Matrix retval; |
| 694 | |
| 695 octave_idx_type nr = rows (); | |
| 696 octave_idx_type nc = cols (); | |
| 697 | |
| 698 if (nr != nc || nr == 0 || nc == 0) | |
| 699 (*current_liboctave_error_handler) ("inverse requires square matrix"); | |
| 700 else | |
| 701 { | |
| 702 int typ = mattype.type (); | |
| 703 char uplo = (typ == MatrixType::Lower ? 'L' : 'U'); | |
| 704 char udiag = 'N'; | |
| 705 retval = *this; | |
| 706 double *tmp_data = retval.fortran_vec (); | |
| 707 | |
| 708 F77_XFCN (dtrtri, DTRTRI, (F77_CONST_CHAR_ARG2 (&uplo, 1), | |
| 709 F77_CONST_CHAR_ARG2 (&udiag, 1), | |
| 710 nr, tmp_data, nr, info | |
| 711 F77_CHAR_ARG_LEN (1) | |
| 712 F77_CHAR_ARG_LEN (1))); | |
| 713 | |
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714 // Throw-away extra info LAPACK gives so as to not change output. |
| 7788 | 715 rcon = 0.0; |
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716 if (info != 0) |
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717 info = -1; |
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718 else if (calc_cond) |
| 6207 | 719 { |
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720 octave_idx_type dtrcon_info = 0; |
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721 char job = '1'; |
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722 |
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723 OCTAVE_LOCAL_BUFFER (double, work, 3 * nr); |
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724 OCTAVE_LOCAL_BUFFER (octave_idx_type, iwork, nr); |
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725 |
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726 F77_XFCN (dtrcon, DTRCON, (F77_CONST_CHAR_ARG2 (&job, 1), |
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727 F77_CONST_CHAR_ARG2 (&uplo, 1), |
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728 F77_CONST_CHAR_ARG2 (&udiag, 1), |
| 7788 | 729 nr, tmp_data, nr, rcon, |
|
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730 work, iwork, dtrcon_info |
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731 F77_CHAR_ARG_LEN (1) |
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732 F77_CHAR_ARG_LEN (1) |
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733 F77_CHAR_ARG_LEN (1))); |
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734 |
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|
735 if (dtrcon_info != 0) |
| 6207 | 736 info = -1; |
| 737 } | |
| 738 | |
| 739 if (info == -1 && ! force) | |
| 740 retval = *this; // Restore matrix contents. | |
| 741 } | |
| 742 | |
| 743 return retval; | |
| 458 | 744 } |
| 745 | |
| 6207 | 746 |
| 458 | 747 Matrix |
| 7788 | 748 Matrix::finverse (MatrixType &mattype, octave_idx_type& info, double& rcon, |
| 6207 | 749 int force, int calc_cond) const |
| 458 | 750 { |
| 1948 | 751 Matrix retval; |
| 752 | |
| 5275 | 753 octave_idx_type nr = rows (); |
| 754 octave_idx_type nc = cols (); | |
| 1948 | 755 |
| 458 | 756 if (nr != nc || nr == 0 || nc == 0) |
| 1948 | 757 (*current_liboctave_error_handler) ("inverse requires square matrix"); |
| 458 | 758 else |
| 759 { | |
| 5275 | 760 Array<octave_idx_type> ipvt (nr); |
| 761 octave_idx_type *pipvt = ipvt.fortran_vec (); | |
| 1948 | 762 |
| 763 retval = *this; | |
| 764 double *tmp_data = retval.fortran_vec (); | |
| 765 | |
| 4329 | 766 Array<double> z(1); |
| 5275 | 767 octave_idx_type lwork = -1; |
| 4329 | 768 |
| 4330 | 769 // Query the optimum work array size. |
| 4329 | 770 F77_XFCN (dgetri, DGETRI, (nc, tmp_data, nr, pipvt, |
| 771 z.fortran_vec (), lwork, info)); | |
| 772 | |
| 5275 | 773 lwork = static_cast<octave_idx_type> (z(0)); |
| 4329 | 774 lwork = (lwork < 2 *nc ? 2*nc : lwork); |
| 775 z.resize (lwork); | |
| 776 double *pz = z.fortran_vec (); | |
| 777 | |
| 778 info = 0; | |
| 779 | |
| 4330 | 780 // Calculate the norm of the matrix, for later use. |
| 4329 | 781 double anorm = 0; |
| 782 if (calc_cond) | |
| 5275 | 783 anorm = retval.abs().sum().row(static_cast<octave_idx_type>(0)).max(); |
| 4329 | 784 |
| 785 F77_XFCN (dgetrf, DGETRF, (nc, nc, tmp_data, nr, pipvt, info)); | |
| 1948 | 786 |
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787 // Throw-away extra info LAPACK gives so as to not change output. |
| 7788 | 788 rcon = 0.0; |
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789 if (info != 0) |
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790 info = -1; |
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791 else if (calc_cond) |
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792 { |
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793 octave_idx_type dgecon_info = 0; |
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794 |
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795 // Now calculate the condition number for non-singular matrix. |
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796 char job = '1'; |
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797 Array<octave_idx_type> iz (nc); |
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798 octave_idx_type *piz = iz.fortran_vec (); |
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799 F77_XFCN (dgecon, DGECON, (F77_CONST_CHAR_ARG2 (&job, 1), |
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800 nc, tmp_data, nr, anorm, |
| 7788 | 801 rcon, pz, piz, dgecon_info |
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802 F77_CHAR_ARG_LEN (1))); |
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803 |
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804 if (dgecon_info != 0) |
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805 info = -1; |
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806 } |
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807 |
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808 if (info == -1 && ! force) |
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809 retval = *this; // Restore matrix contents. |
| 1948 | 810 else |
| 811 { | |
|
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812 octave_idx_type dgetri_info = 0; |
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813 |
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814 F77_XFCN (dgetri, DGETRI, (nc, tmp_data, nr, pipvt, |
|
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815 pz, lwork, dgetri_info)); |
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816 |
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|
817 if (dgetri_info != 0) |
| 1948 | 818 info = -1; |
| 819 } | |
| 6207 | 820 |
| 821 if (info != 0) | |
| 822 mattype.mark_as_rectangular(); | |
| 458 | 823 } |
| 824 | |
| 1948 | 825 return retval; |
| 458 | 826 } |
| 827 | |
| 740 | 828 Matrix |
| 7788 | 829 Matrix::inverse (MatrixType &mattype, octave_idx_type& info, double& rcon, |
| 6207 | 830 int force, int calc_cond) const |
| 831 { | |
| 832 int typ = mattype.type (false); | |
| 833 Matrix ret; | |
| 834 | |
| 835 if (typ == MatrixType::Unknown) | |
| 836 typ = mattype.type (*this); | |
| 837 | |
| 838 if (typ == MatrixType::Upper || typ == MatrixType::Lower) | |
| 7788 | 839 ret = tinverse (mattype, info, rcon, force, calc_cond); |
| 6840 | 840 else |
| 6207 | 841 { |
| 842 if (mattype.is_hermitian ()) | |
| 843 { | |
| 6486 | 844 CHOL chol (*this, info, calc_cond); |
| 6207 | 845 if (info == 0) |
| 6486 | 846 { |
| 847 if (calc_cond) | |
| 7788 | 848 rcon = chol.rcond (); |
| 6486 | 849 else |
| 7788 | 850 rcon = 1.0; |
| 6486 | 851 ret = chol.inverse (); |
| 852 } | |
| 6207 | 853 else |
| 854 mattype.mark_as_unsymmetric (); | |
| 855 } | |
| 856 | |
| 857 if (!mattype.is_hermitian ()) | |
| 7788 | 858 ret = finverse(mattype, info, rcon, force, calc_cond); |
| 859 | |
| 860 if ((mattype.is_hermitian () || calc_cond) && rcon == 0.) | |
| 6840 | 861 ret = Matrix (rows (), columns (), octave_Inf); |
| 6207 | 862 } |
| 863 | |
| 864 return ret; | |
| 865 } | |
| 866 | |
| 867 Matrix | |
| 4384 | 868 Matrix::pseudo_inverse (double tol) const |
| 740 | 869 { |
| 3480 | 870 SVD result (*this, SVD::economy); |
| 740 | 871 |
| 872 DiagMatrix S = result.singular_values (); | |
| 873 Matrix U = result.left_singular_matrix (); | |
| 874 Matrix V = result.right_singular_matrix (); | |
| 875 | |
| 876 ColumnVector sigma = S.diag (); | |
| 877 | |
| 5275 | 878 octave_idx_type r = sigma.length () - 1; |
| 879 octave_idx_type nr = rows (); | |
| 880 octave_idx_type nc = cols (); | |
| 740 | 881 |
| 882 if (tol <= 0.0) | |
| 883 { | |
| 884 if (nr > nc) | |
| 885 tol = nr * sigma.elem (0) * DBL_EPSILON; | |
| 886 else | |
| 887 tol = nc * sigma.elem (0) * DBL_EPSILON; | |
| 888 } | |
| 889 | |
| 890 while (r >= 0 && sigma.elem (r) < tol) | |
| 891 r--; | |
| 892 | |
| 893 if (r < 0) | |
| 894 return Matrix (nc, nr, 0.0); | |
| 895 else | |
| 896 { | |
| 897 Matrix Ur = U.extract (0, 0, nr-1, r); | |
| 898 DiagMatrix D = DiagMatrix (sigma.extract (0, r)) . inverse (); | |
| 899 Matrix Vr = V.extract (0, 0, nc-1, r); | |
| 900 return Vr * D * Ur.transpose (); | |
| 901 } | |
| 902 } | |
| 903 | |
| 4773 | 904 #if defined (HAVE_FFTW3) |
| 3827 | 905 |
| 906 ComplexMatrix | |
| 907 Matrix::fourier (void) const | |
| 908 { | |
| 909 size_t nr = rows (); | |
| 910 size_t nc = cols (); | |
| 911 | |
| 912 ComplexMatrix retval (nr, nc); | |
| 913 | |
| 914 size_t npts, nsamples; | |
| 915 | |
| 916 if (nr == 1 || nc == 1) | |
| 917 { | |
| 918 npts = nr > nc ? nr : nc; | |
| 919 nsamples = 1; | |
| 920 } | |
| 921 else | |
| 922 { | |
| 923 npts = nr; | |
| 924 nsamples = nc; | |
| 925 } | |
| 926 | |
| 4773 | 927 const double *in (fortran_vec ()); |
| 3827 | 928 Complex *out (retval.fortran_vec ()); |
| 929 | |
| 4773 | 930 octave_fftw::fft (in, out, npts, nsamples); |
| 3827 | 931 |
| 932 return retval; | |
| 933 } | |
| 934 | |
| 935 ComplexMatrix | |
| 936 Matrix::ifourier (void) const | |
| 937 { | |
| 938 size_t nr = rows (); | |
| 939 size_t nc = cols (); | |
| 940 | |
| 941 ComplexMatrix retval (nr, nc); | |
| 942 | |
| 943 size_t npts, nsamples; | |
| 944 | |
| 945 if (nr == 1 || nc == 1) | |
| 946 { | |
| 947 npts = nr > nc ? nr : nc; | |
| 948 nsamples = 1; | |
| 949 } | |
| 950 else | |
| 951 { | |
| 952 npts = nr; | |
| 953 nsamples = nc; | |
| 954 } | |
| 955 | |
| 956 ComplexMatrix tmp (*this); | |
| 957 Complex *in (tmp.fortran_vec ()); | |
| 958 Complex *out (retval.fortran_vec ()); | |
| 959 | |
| 4773 | 960 octave_fftw::ifft (in, out, npts, nsamples); |
| 3827 | 961 |
| 962 return retval; | |
| 963 } | |
| 964 | |
| 965 ComplexMatrix | |
| 966 Matrix::fourier2d (void) const | |
| 967 { | |
| 4773 | 968 dim_vector dv(rows (), cols ()); |
| 969 | |
| 970 const double *in = fortran_vec (); | |
| 971 ComplexMatrix retval (rows (), cols ()); | |
| 972 octave_fftw::fftNd (in, retval.fortran_vec (), 2, dv); | |
| 3827 | 973 |
| 974 return retval; | |
| 975 } | |
| 976 | |
| 977 ComplexMatrix | |
| 978 Matrix::ifourier2d (void) const | |
| 979 { | |
| 4773 | 980 dim_vector dv(rows (), cols ()); |
| 3827 | 981 |
| 982 ComplexMatrix retval (*this); | |
| 4773 | 983 Complex *out (retval.fortran_vec ()); |
| 984 | |
| 985 octave_fftw::ifftNd (out, out, 2, dv); | |
| 3827 | 986 |
| 987 return retval; | |
| 988 } | |
| 989 | |
| 990 #else | |
| 991 | |
| 458 | 992 ComplexMatrix |
| 993 Matrix::fourier (void) const | |
| 994 { | |
| 1948 | 995 ComplexMatrix retval; |
| 996 | |
| 5275 | 997 octave_idx_type nr = rows (); |
| 998 octave_idx_type nc = cols (); | |
| 999 | |
| 1000 octave_idx_type npts, nsamples; | |
| 1948 | 1001 |
| 458 | 1002 if (nr == 1 || nc == 1) |
| 1003 { | |
| 1004 npts = nr > nc ? nr : nc; | |
| 1005 nsamples = 1; | |
| 1006 } | |
| 1007 else | |
| 1008 { | |
| 1009 npts = nr; | |
| 1010 nsamples = nc; | |
| 1011 } | |
| 1012 | |
| 5275 | 1013 octave_idx_type nn = 4*npts+15; |
| 1948 | 1014 |
| 1015 Array<Complex> wsave (nn); | |
| 1016 Complex *pwsave = wsave.fortran_vec (); | |
| 1017 | |
| 3585 | 1018 retval = ComplexMatrix (*this); |
| 1948 | 1019 Complex *tmp_data = retval.fortran_vec (); |
| 1020 | |
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1021 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
| 458 | 1022 |
| 5275 | 1023 for (octave_idx_type j = 0; j < nsamples; j++) |
| 4153 | 1024 { |
| 1025 OCTAVE_QUIT; | |
| 1026 | |
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1027 F77_FUNC (zfftf, ZFFTF) (npts, &tmp_data[npts*j], pwsave); |
| 4153 | 1028 } |
| 1948 | 1029 |
| 1030 return retval; | |
| 458 | 1031 } |
| 1032 | |
| 1033 ComplexMatrix | |
| 1034 Matrix::ifourier (void) const | |
| 1035 { | |
| 1948 | 1036 ComplexMatrix retval; |
| 1037 | |
| 5275 | 1038 octave_idx_type nr = rows (); |
| 1039 octave_idx_type nc = cols (); | |
| 1040 | |
| 1041 octave_idx_type npts, nsamples; | |
| 1948 | 1042 |
| 458 | 1043 if (nr == 1 || nc == 1) |
| 1044 { | |
| 1045 npts = nr > nc ? nr : nc; | |
| 1046 nsamples = 1; | |
| 1047 } | |
| 1048 else | |
| 1049 { | |
| 1050 npts = nr; | |
| 1051 nsamples = nc; | |
| 1052 } | |
| 1053 | |
| 5275 | 1054 octave_idx_type nn = 4*npts+15; |
| 1948 | 1055 |
| 1056 Array<Complex> wsave (nn); | |
| 1057 Complex *pwsave = wsave.fortran_vec (); | |
| 1058 | |
| 3585 | 1059 retval = ComplexMatrix (*this); |
| 1948 | 1060 Complex *tmp_data = retval.fortran_vec (); |
| 1061 | |
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1062 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
| 458 | 1063 |
| 5275 | 1064 for (octave_idx_type j = 0; j < nsamples; j++) |
| 4153 | 1065 { |
| 1066 OCTAVE_QUIT; | |
| 1067 | |
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1068 F77_FUNC (zfftb, ZFFTB) (npts, &tmp_data[npts*j], pwsave); |
| 4153 | 1069 } |
| 458 | 1070 |
| 5275 | 1071 for (octave_idx_type j = 0; j < npts*nsamples; j++) |
| 3572 | 1072 tmp_data[j] = tmp_data[j] / static_cast<double> (npts); |
| 458 | 1073 |
| 1948 | 1074 return retval; |
| 458 | 1075 } |
| 1076 | |
| 677 | 1077 ComplexMatrix |
| 1078 Matrix::fourier2d (void) const | |
| 1079 { | |
| 1948 | 1080 ComplexMatrix retval; |
| 1081 | |
| 5275 | 1082 octave_idx_type nr = rows (); |
| 1083 octave_idx_type nc = cols (); | |
| 1084 | |
| 1085 octave_idx_type npts, nsamples; | |
| 1948 | 1086 |
| 677 | 1087 if (nr == 1 || nc == 1) |
| 1088 { | |
| 1089 npts = nr > nc ? nr : nc; | |
| 1090 nsamples = 1; | |
| 1091 } | |
| 1092 else | |
| 1093 { | |
| 1094 npts = nr; | |
| 1095 nsamples = nc; | |
| 1096 } | |
| 1097 | |
| 5275 | 1098 octave_idx_type nn = 4*npts+15; |
| 1948 | 1099 |
| 1100 Array<Complex> wsave (nn); | |
| 1101 Complex *pwsave = wsave.fortran_vec (); | |
| 1102 | |
| 3585 | 1103 retval = ComplexMatrix (*this); |
| 1948 | 1104 Complex *tmp_data = retval.fortran_vec (); |
| 1105 | |
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|
1106 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
| 677 | 1107 |
| 5275 | 1108 for (octave_idx_type j = 0; j < nsamples; j++) |
| 4153 | 1109 { |
| 1110 OCTAVE_QUIT; | |
| 1111 | |
|
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|
1112 F77_FUNC (zfftf, ZFFTF) (npts, &tmp_data[npts*j], pwsave); |
| 4153 | 1113 } |
| 677 | 1114 |
| 1115 npts = nc; | |
| 1116 nsamples = nr; | |
| 1117 nn = 4*npts+15; | |
| 1948 | 1118 |
| 1119 wsave.resize (nn); | |
| 1120 pwsave = wsave.fortran_vec (); | |
| 1121 | |
| 4773 | 1122 Array<Complex> tmp (npts); |
| 1123 Complex *prow = tmp.fortran_vec (); | |
| 1948 | 1124 |
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1125 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
| 677 | 1126 |
| 5275 | 1127 for (octave_idx_type j = 0; j < nsamples; j++) |
| 677 | 1128 { |
| 4153 | 1129 OCTAVE_QUIT; |
| 1130 | |
| 5275 | 1131 for (octave_idx_type i = 0; i < npts; i++) |
| 1948 | 1132 prow[i] = tmp_data[i*nr + j]; |
| 1133 | |
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1134 F77_FUNC (zfftf, ZFFTF) (npts, prow, pwsave); |
| 677 | 1135 |
| 5275 | 1136 for (octave_idx_type i = 0; i < npts; i++) |
| 1948 | 1137 tmp_data[i*nr + j] = prow[i]; |
| 677 | 1138 } |
| 1139 | |
| 1948 | 1140 return retval; |
| 677 | 1141 } |
| 1142 | |
| 1143 ComplexMatrix | |
| 1144 Matrix::ifourier2d (void) const | |
| 1145 { | |
| 1948 | 1146 ComplexMatrix retval; |
| 1147 | |
| 5275 | 1148 octave_idx_type nr = rows (); |
| 1149 octave_idx_type nc = cols (); | |
| 1150 | |
| 1151 octave_idx_type npts, nsamples; | |
| 1948 | 1152 |
| 677 | 1153 if (nr == 1 || nc == 1) |
| 1154 { | |
| 1155 npts = nr > nc ? nr : nc; | |
| 1156 nsamples = 1; | |
| 1157 } | |
| 1158 else | |
| 1159 { | |
| 1160 npts = nr; | |
| 1161 nsamples = nc; | |
| 1162 } | |
| 1163 | |
| 5275 | 1164 octave_idx_type nn = 4*npts+15; |
| 1948 | 1165 |
| 1166 Array<Complex> wsave (nn); | |
| 1167 Complex *pwsave = wsave.fortran_vec (); | |
| 1168 | |
| 3585 | 1169 retval = ComplexMatrix (*this); |
| 1948 | 1170 Complex *tmp_data = retval.fortran_vec (); |
| 1171 | |
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1172 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
| 677 | 1173 |
| 5275 | 1174 for (octave_idx_type j = 0; j < nsamples; j++) |
| 4153 | 1175 { |
| 1176 OCTAVE_QUIT; | |
| 1177 | |
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1178 F77_FUNC (zfftb, ZFFTB) (npts, &tmp_data[npts*j], pwsave); |
| 4153 | 1179 } |
| 677 | 1180 |
| 5275 | 1181 for (octave_idx_type j = 0; j < npts*nsamples; j++) |
| 3572 | 1182 tmp_data[j] = tmp_data[j] / static_cast<double> (npts); |
| 677 | 1183 |
| 1184 npts = nc; | |
| 1185 nsamples = nr; | |
| 1186 nn = 4*npts+15; | |
| 1948 | 1187 |
| 1188 wsave.resize (nn); | |
| 1189 pwsave = wsave.fortran_vec (); | |
| 1190 | |
| 4773 | 1191 Array<Complex> tmp (npts); |
| 1192 Complex *prow = tmp.fortran_vec (); | |
| 1948 | 1193 |
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1194 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
| 677 | 1195 |
| 5275 | 1196 for (octave_idx_type j = 0; j < nsamples; j++) |
| 677 | 1197 { |
| 4153 | 1198 OCTAVE_QUIT; |
| 1199 | |
| 5275 | 1200 for (octave_idx_type i = 0; i < npts; i++) |
| 1948 | 1201 prow[i] = tmp_data[i*nr + j]; |
| 1202 | |
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1203 F77_FUNC (zfftb, ZFFTB) (npts, prow, pwsave); |
| 677 | 1204 |
| 5275 | 1205 for (octave_idx_type i = 0; i < npts; i++) |
| 3572 | 1206 tmp_data[i*nr + j] = prow[i] / static_cast<double> (npts); |
| 677 | 1207 } |
| 1208 | |
| 1948 | 1209 return retval; |
| 677 | 1210 } |
| 1211 | |
| 3827 | 1212 #endif |
| 1213 | |
| 458 | 1214 DET |
| 1215 Matrix::determinant (void) const | |
| 1216 { | |
| 5275 | 1217 octave_idx_type info; |
| 7788 | 1218 double rcon; |
| 1219 return determinant (info, rcon, 0); | |
| 458 | 1220 } |
| 1221 | |
| 1222 DET | |
| 5275 | 1223 Matrix::determinant (octave_idx_type& info) const |
| 458 | 1224 { |
| 7788 | 1225 double rcon; |
| 1226 return determinant (info, rcon, 0); | |
| 458 | 1227 } |
| 1228 | |
| 1229 DET | |
| 7788 | 1230 Matrix::determinant (octave_idx_type& info, double& rcon, int calc_cond) const |
| 458 | 1231 { |
|
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1232 MatrixType mattype (*this); |
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1233 return determinant (mattype, info, rcon, calc_cond); |
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1234 } |
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1235 |
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1236 DET |
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1237 Matrix::determinant (MatrixType& mattype, |
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1238 octave_idx_type& info, double& rcon, int calc_cond) const |
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1239 { |
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1240 DET retval (1.0); |
| 458 | 1241 |
| 5275 | 1242 octave_idx_type nr = rows (); |
| 1243 octave_idx_type nc = cols (); | |
| 458 | 1244 |
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1245 if (nr != nc) |
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1246 (*current_liboctave_error_handler) ("matrix must be square"); |
| 458 | 1247 else |
| 1248 { | |
|
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1249 int typ = mattype.type (); |
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parents:
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diff
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|
1250 |
|
8337
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reuse matrix type detected in det
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parents:
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diff
changeset
|
1251 if (typ == MatrixType::Unknown) |
|
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reuse matrix type detected in det
Jaroslav Hajek <highegg@gmail.com>
parents:
8336
diff
changeset
|
1252 typ = mattype.type (*this); |
|
e02242c54c49
reuse matrix type detected in det
Jaroslav Hajek <highegg@gmail.com>
parents:
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diff
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|
1253 |
|
8336
9813c07ca946
make det take advantage of matrix type
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parents:
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diff
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|
1254 if (typ == MatrixType::Lower || typ == MatrixType::Upper) |
|
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make det take advantage of matrix type
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parents:
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diff
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|
1255 { |
|
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make det take advantage of matrix type
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parents:
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diff
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|
1256 for (octave_idx_type i = 0; i < nc; i++) |
|
9813c07ca946
make det take advantage of matrix type
Jaroslav Hajek <highegg@gmail.com>
parents:
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diff
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|
1257 retval *= elem (i,i); |
|
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make det take advantage of matrix type
Jaroslav Hajek <highegg@gmail.com>
parents:
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diff
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|
1258 } |
|
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make det take advantage of matrix type
Jaroslav Hajek <highegg@gmail.com>
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diff
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|
1259 else if (typ == MatrixType::Hermitian) |
|
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make det take advantage of matrix type
Jaroslav Hajek <highegg@gmail.com>
parents:
8335
diff
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|
1260 { |
|
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parents:
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diff
changeset
|
1261 Matrix atmp = *this; |
|
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make det take advantage of matrix type
Jaroslav Hajek <highegg@gmail.com>
parents:
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diff
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|
1262 double *tmp_data = atmp.fortran_vec (); |
|
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diff
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|
1263 |
|
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Jaroslav Hajek <highegg@gmail.com>
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diff
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|
1264 info = 0; |
|
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make det take advantage of matrix type
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|
1265 double anorm = 0; |
|
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make det take advantage of matrix type
Jaroslav Hajek <highegg@gmail.com>
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diff
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|
1266 if (calc_cond) anorm = xnorm (*this, 1); |
|
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parents:
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diff
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|
1267 |
|
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diff
changeset
|
1268 |
|
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|
1269 char job = 'L'; |
|
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make det take advantage of matrix type
Jaroslav Hajek <highegg@gmail.com>
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|
1270 F77_XFCN (dpotrf, DPOTRF, (F77_CONST_CHAR_ARG2 (&job, 1), nr, |
|
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make det take advantage of matrix type
Jaroslav Hajek <highegg@gmail.com>
parents:
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diff
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|
1271 tmp_data, nr, info |
|
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make det take advantage of matrix type
Jaroslav Hajek <highegg@gmail.com>
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diff
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|
1272 F77_CHAR_ARG_LEN (1))); |
|
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make det take advantage of matrix type
Jaroslav Hajek <highegg@gmail.com>
parents:
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diff
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|
1273 |
|
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Jaroslav Hajek <highegg@gmail.com>
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diff
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|
1274 if (info != 0) |
|
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make det take advantage of matrix type
Jaroslav Hajek <highegg@gmail.com>
parents:
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|
1275 { |
|
9813c07ca946
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Jaroslav Hajek <highegg@gmail.com>
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|
1276 rcon = 0.0; |
|
9813c07ca946
make det take advantage of matrix type
Jaroslav Hajek <highegg@gmail.com>
parents:
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|
1277 mattype.mark_as_unsymmetric (); |
|
9813c07ca946
make det take advantage of matrix type
Jaroslav Hajek <highegg@gmail.com>
parents:
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|
1278 typ = MatrixType::Full; |
|
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make det take advantage of matrix type
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|
1279 } |
|
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Jaroslav Hajek <highegg@gmail.com>
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|
1280 else |
|
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make det take advantage of matrix type
Jaroslav Hajek <highegg@gmail.com>
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diff
changeset
|
1281 { |
|
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Jaroslav Hajek <highegg@gmail.com>
parents:
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diff
changeset
|
1282 Array<double> z (3 * nc); |
|
9813c07ca946
make det take advantage of matrix type
Jaroslav Hajek <highegg@gmail.com>
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|
1283 double *pz = z.fortran_vec (); |
|
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make det take advantage of matrix type
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|
1284 Array<octave_idx_type> iz (nc); |
|
9813c07ca946
make det take advantage of matrix type
Jaroslav Hajek <highegg@gmail.com>
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|
1285 octave_idx_type *piz = iz.fortran_vec (); |
|
9813c07ca946
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|
1286 |
|
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Jaroslav Hajek <highegg@gmail.com>
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|
1287 F77_XFCN (dpocon, DPOCON, (F77_CONST_CHAR_ARG2 (&job, 1), |
|
9813c07ca946
make det take advantage of matrix type
Jaroslav Hajek <highegg@gmail.com>
parents:
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|
1288 nr, tmp_data, nr, anorm, |
|
9813c07ca946
make det take advantage of matrix type
Jaroslav Hajek <highegg@gmail.com>
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|
1289 rcon, pz, piz, info |
|
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Jaroslav Hajek <highegg@gmail.com>
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|
1290 F77_CHAR_ARG_LEN (1))); |
|
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|
1291 |
|
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|
1292 if (info != 0) |
|
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make det take advantage of matrix type
Jaroslav Hajek <highegg@gmail.com>
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|
1293 rcon = 0.0; |
|
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|
1294 |
|
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diff
changeset
|
1295 for (octave_idx_type i = 0; i < nc; i++) |
|
8337
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|
1296 retval *= atmp (i,i); |
|
8336
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|
1297 |
|
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|
1298 retval = retval.square (); |
|
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|
1299 } |
|
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|
1300 } |
|
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|
1301 else if (typ != MatrixType::Full) |
|
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|
1302 (*current_liboctave_error_handler) ("det: invalid dense matrix type"); |
|
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|
1303 |
|
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|
1304 if (typ == MatrixType::Full) |
|
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|
1305 { |
|
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|
1306 Array<octave_idx_type> ipvt (nr); |
|
9813c07ca946
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|
1307 octave_idx_type *pipvt = ipvt.fortran_vec (); |
|
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|
1308 |
|
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|
1309 Matrix atmp = *this; |
|
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|
1310 double *tmp_data = atmp.fortran_vec (); |
|
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|
1311 |
|
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|
1312 info = 0; |
|
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|
1313 |
|
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|
1314 // Calculate the norm of the matrix, for later use. |
|
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|
1315 double anorm = 0; |
|
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|
1316 if (calc_cond) anorm = xnorm (*this, 1); |
|
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|
1317 |
|
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|
1318 F77_XFCN (dgetrf, DGETRF, (nr, nr, tmp_data, nr, pipvt, info)); |
|
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|
1319 |
|
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|
1320 // Throw-away extra info LAPACK gives so as to not change output. |
|
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|
1321 rcon = 0.0; |
|
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|
1322 if (info != 0) |
|
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|
1323 { |
|
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|
1324 info = -1; |
|
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|
1325 retval = DET (); |
|
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|
1326 } |
|
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|
1327 else |
|
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|
1328 { |
|
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|
1329 if (calc_cond) |
|
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|
1330 { |
|
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|
1331 // Now calc the condition number for non-singular matrix. |
|
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|
1332 char job = '1'; |
|
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|
1333 Array<double> z (4 * nc); |
|
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1334 double *pz = z.fortran_vec (); |
|
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|
1335 Array<octave_idx_type> iz (nc); |
|
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|
1336 octave_idx_type *piz = iz.fortran_vec (); |
|
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|
1337 |
|
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|
1338 F77_XFCN (dgecon, DGECON, (F77_CONST_CHAR_ARG2 (&job, 1), |
|
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|
1339 nc, tmp_data, nr, anorm, |
|
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|
1340 rcon, pz, piz, info |
|
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|
1341 F77_CHAR_ARG_LEN (1))); |
| 8335 | 1342 } |
|
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|
1343 |
|
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|
1344 if (info != 0) |
|
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|
1345 { |
|
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|
1346 info = -1; |
|
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|
1347 retval = DET (); |
|
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|
1348 } |
|
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|
1349 else |
|
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|
1350 { |
|
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|
1351 for (octave_idx_type i = 0; i < nc; i++) |
|
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|
1352 { |
|
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|
1353 double c = atmp(i,i); |
|
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|
1354 retval *= (ipvt(i) != (i+1)) ? -c : c; |
|
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|
1355 } |
|
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|
1356 } |
|
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|
1357 } |
|
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|
1358 } |
| 458 | 1359 } |
| 1360 | |
| 1361 return retval; | |
| 1362 } | |
| 1363 | |
| 7788 | 1364 double |
| 1365 Matrix::rcond (void) const | |
| 1366 { | |
| 1367 MatrixType mattype (*this); | |
| 1368 return rcond (mattype); | |
| 1369 } | |
| 1370 | |
| 1371 double | |
| 1372 Matrix::rcond (MatrixType &mattype) const | |
| 1373 { | |
| 1374 double rcon; | |
| 1375 octave_idx_type nr = rows (); | |
| 1376 octave_idx_type nc = cols (); | |
| 1377 | |
| 1378 if (nr != nc) | |
| 1379 (*current_liboctave_error_handler) ("matrix must be square"); | |
| 1380 else if (nr == 0 || nc == 0) | |
| 1381 rcon = octave_Inf; | |
| 1382 else | |
| 1383 { | |
| 1384 int typ = mattype.type (); | |
| 1385 | |
| 1386 if (typ == MatrixType::Unknown) | |
| 1387 typ = mattype.type (*this); | |
| 1388 | |
| 1389 // Only calculate the condition number for LU/Cholesky | |
| 1390 if (typ == MatrixType::Upper) | |
| 1391 { | |
| 1392 const double *tmp_data = fortran_vec (); | |
| 1393 octave_idx_type info = 0; | |
| 1394 char norm = '1'; | |
| 1395 char uplo = 'U'; | |
| 1396 char dia = 'N'; | |
| 1397 | |
| 1398 Array<double> z (3 * nc); | |
| 1399 double *pz = z.fortran_vec (); | |
| 1400 Array<octave_idx_type> iz (nc); | |
| 1401 octave_idx_type *piz = iz.fortran_vec (); | |
| 1402 | |
| 1403 F77_XFCN (dtrcon, DTRCON, (F77_CONST_CHAR_ARG2 (&norm, 1), | |
| 1404 F77_CONST_CHAR_ARG2 (&uplo, 1), | |
| 1405 F77_CONST_CHAR_ARG2 (&dia, 1), | |
| 1406 nr, tmp_data, nr, rcon, | |
| 1407 pz, piz, info | |
| 1408 F77_CHAR_ARG_LEN (1) | |
| 1409 F77_CHAR_ARG_LEN (1) | |
| 1410 F77_CHAR_ARG_LEN (1))); | |
| 1411 | |
| 1412 if (info != 0) | |
| 1413 rcon = 0.0; | |
| 1414 } | |
| 1415 else if (typ == MatrixType::Permuted_Upper) | |
| 1416 (*current_liboctave_error_handler) | |
| 1417 ("permuted triangular matrix not implemented"); | |
| 1418 else if (typ == MatrixType::Lower) | |
| 1419 { | |
| 1420 const double *tmp_data = fortran_vec (); | |
| 1421 octave_idx_type info = 0; | |
| 1422 char norm = '1'; | |
| 1423 char uplo = 'L'; | |
| 1424 char dia = 'N'; | |
| 1425 | |
| 1426 Array<double> z (3 * nc); | |
| 1427 double *pz = z.fortran_vec (); | |
| 1428 Array<octave_idx_type> iz (nc); | |
| 1429 octave_idx_type *piz = iz.fortran_vec (); | |
| 1430 | |
| 1431 F77_XFCN (dtrcon, DTRCON, (F77_CONST_CHAR_ARG2 (&norm, 1), | |
| 1432 F77_CONST_CHAR_ARG2 (&uplo, 1), | |
| 1433 F77_CONST_CHAR_ARG2 (&dia, 1), | |
| 1434 nr, tmp_data, nr, rcon, | |
| 1435 pz, piz, info | |
| 1436 F77_CHAR_ARG_LEN (1) | |
| 1437 F77_CHAR_ARG_LEN (1) | |
| 1438 F77_CHAR_ARG_LEN (1))); | |
| 1439 | |
| 1440 if (info != 0) | |
| 1441 rcon = 0.0; | |
| 1442 } | |
| 1443 else if (typ == MatrixType::Permuted_Lower) | |
| 1444 (*current_liboctave_error_handler) | |
| 1445 ("permuted triangular matrix not implemented"); | |
| 1446 else if (typ == MatrixType::Full || typ == MatrixType::Hermitian) | |
| 1447 { | |
| 1448 double anorm = -1.0; | |
| 1449 Matrix atmp = *this; | |
| 1450 double *tmp_data = atmp.fortran_vec (); | |
| 1451 | |
| 1452 if (typ == MatrixType::Hermitian) | |
| 1453 { | |
| 1454 octave_idx_type info = 0; | |
| 1455 char job = 'L'; | |
| 1456 anorm = atmp.abs().sum(). | |
| 1457 row(static_cast<octave_idx_type>(0)).max(); | |
| 1458 | |
| 1459 F77_XFCN (dpotrf, DPOTRF, (F77_CONST_CHAR_ARG2 (&job, 1), nr, | |
| 1460 tmp_data, nr, info | |
| 1461 F77_CHAR_ARG_LEN (1))); | |
| 1462 | |
| 1463 if (info != 0) | |
| 1464 { | |
| 1465 rcon = 0.0; | |
| 1466 mattype.mark_as_unsymmetric (); | |
| 1467 typ = MatrixType::Full; | |
| 1468 } | |
| 1469 else | |
| 1470 { | |
| 1471 Array<double> z (3 * nc); | |
| 1472 double *pz = z.fortran_vec (); | |
| 1473 Array<octave_idx_type> iz (nc); | |
| 1474 octave_idx_type *piz = iz.fortran_vec (); | |
| 1475 | |
| 1476 F77_XFCN (dpocon, DPOCON, (F77_CONST_CHAR_ARG2 (&job, 1), | |
| 1477 nr, tmp_data, nr, anorm, | |
| 1478 rcon, pz, piz, info | |
| 1479 F77_CHAR_ARG_LEN (1))); | |
| 1480 | |
| 1481 if (info != 0) | |
| 1482 rcon = 0.0; | |
| 1483 } | |
| 1484 } | |
| 1485 | |
| 1486 if (typ == MatrixType::Full) | |
| 1487 { | |
| 1488 octave_idx_type info = 0; | |
| 1489 | |
| 1490 Array<octave_idx_type> ipvt (nr); | |
| 1491 octave_idx_type *pipvt = ipvt.fortran_vec (); | |
| 1492 | |
| 1493 if(anorm < 0.) | |
| 1494 anorm = atmp.abs().sum(). | |
| 1495 row(static_cast<octave_idx_type>(0)).max(); | |
| 1496 | |
| 1497 Array<double> z (4 * nc); | |
| 1498 double *pz = z.fortran_vec (); | |
| 1499 Array<octave_idx_type> iz (nc); | |
| 1500 octave_idx_type *piz = iz.fortran_vec (); | |
| 1501 | |
| 1502 F77_XFCN (dgetrf, DGETRF, (nr, nr, tmp_data, nr, pipvt, info)); | |
| 1503 | |
| 1504 if (info != 0) | |
| 1505 { | |
| 1506 rcon = 0.0; | |
| 1507 mattype.mark_as_rectangular (); | |
| 1508 } | |
| 1509 else | |
| 1510 { | |
| 1511 char job = '1'; | |
| 1512 F77_XFCN (dgecon, DGECON, (F77_CONST_CHAR_ARG2 (&job, 1), | |
| 1513 nc, tmp_data, nr, anorm, | |
| 1514 rcon, pz, piz, info | |
| 1515 F77_CHAR_ARG_LEN (1))); | |
| 1516 | |
| 1517 if (info != 0) | |
| 1518 rcon = 0.0; | |
| 1519 } | |
| 1520 } | |
| 1521 } | |
| 1522 else | |
| 1523 rcon = 0.0; | |
| 1524 } | |
| 1525 | |
| 1526 return rcon; | |
| 1527 } | |
| 1528 | |
| 458 | 1529 Matrix |
| 5785 | 1530 Matrix::utsolve (MatrixType &mattype, const Matrix& b, octave_idx_type& info, |
| 7788 | 1531 double& rcon, solve_singularity_handler sing_handler, |
| 5785 | 1532 bool calc_cond) const |
| 1533 { | |
| 1534 Matrix retval; | |
| 1535 | |
| 1536 octave_idx_type nr = rows (); | |
| 1537 octave_idx_type nc = cols (); | |
| 1538 | |
| 6924 | 1539 if (nr != b.rows ()) |
| 5785 | 1540 (*current_liboctave_error_handler) |
| 1541 ("matrix dimension mismatch solution of linear equations"); | |
| 6924 | 1542 else if (nr == 0 || nc == 0 || b.cols () == 0) |
| 1543 retval = Matrix (nc, b.cols (), 0.0); | |
| 5785 | 1544 else |
| 1545 { | |
| 1546 volatile int typ = mattype.type (); | |
| 1547 | |
| 1548 if (typ == MatrixType::Permuted_Upper || | |
| 1549 typ == MatrixType::Upper) | |
| 1550 { | |
| 1551 octave_idx_type b_nc = b.cols (); | |
| 7788 | 1552 rcon = 1.; |
| 5785 | 1553 info = 0; |
| 1554 | |
| 1555 if (typ == MatrixType::Permuted_Upper) | |
| 1556 { | |
| 1557 (*current_liboctave_error_handler) | |
| 6390 | 1558 ("permuted triangular matrix not implemented"); |
| 5785 | 1559 } |
| 1560 else | |
| 1561 { | |
| 1562 const double *tmp_data = fortran_vec (); | |
| 1563 | |
| 1564 if (calc_cond) | |
| 1565 { | |
| 1566 char norm = '1'; | |
| 1567 char uplo = 'U'; | |
| 1568 char dia = 'N'; | |
| 1569 | |
| 1570 Array<double> z (3 * nc); | |
| 1571 double *pz = z.fortran_vec (); | |
| 1572 Array<octave_idx_type> iz (nc); | |
| 1573 octave_idx_type *piz = iz.fortran_vec (); | |
| 1574 | |
| 1575 F77_XFCN (dtrcon, DTRCON, (F77_CONST_CHAR_ARG2 (&norm, 1), | |
| 1576 F77_CONST_CHAR_ARG2 (&uplo, 1), | |
| 1577 F77_CONST_CHAR_ARG2 (&dia, 1), | |
| 7788 | 1578 nr, tmp_data, nr, rcon, |
| 5785 | 1579 pz, piz, info |
| 1580 F77_CHAR_ARG_LEN (1) | |
| 1581 F77_CHAR_ARG_LEN (1) | |
| 1582 F77_CHAR_ARG_LEN (1))); | |
| 1583 | |
| 1584 if (info != 0) | |
| 1585 info = -2; | |
| 1586 | |
| 7788 | 1587 volatile double rcond_plus_one = rcon + 1.0; |
| 1588 | |
| 1589 if (rcond_plus_one == 1.0 || xisnan (rcon)) | |
| 5785 | 1590 { |
| 1591 info = -2; | |
| 1592 | |
| 1593 if (sing_handler) | |
| 7788 | 1594 sing_handler (rcon); |
| 5785 | 1595 else |
| 1596 (*current_liboctave_error_handler) | |
| 1597 ("matrix singular to machine precision, rcond = %g", | |
| 7788 | 1598 rcon); |
| 5785 | 1599 } |
| 1600 } | |
| 1601 | |
| 1602 if (info == 0) | |
| 1603 { | |
| 1604 retval = b; | |
| 1605 double *result = retval.fortran_vec (); | |
| 1606 | |
| 1607 char uplo = 'U'; | |
| 1608 char trans = 'N'; | |
| 1609 char dia = 'N'; | |
| 1610 | |
| 1611 F77_XFCN (dtrtrs, DTRTRS, (F77_CONST_CHAR_ARG2 (&uplo, 1), | |
| 1612 F77_CONST_CHAR_ARG2 (&trans, 1), | |
| 1613 F77_CONST_CHAR_ARG2 (&dia, 1), | |
| 1614 nr, b_nc, tmp_data, nr, | |
| 1615 result, nr, info | |
| 1616 F77_CHAR_ARG_LEN (1) | |
| 1617 F77_CHAR_ARG_LEN (1) | |
| 1618 F77_CHAR_ARG_LEN (1))); | |
| 1619 } | |
| 1620 } | |
| 1621 } | |
| 1622 else | |
| 1623 (*current_liboctave_error_handler) ("incorrect matrix type"); | |
| 1624 } | |
| 1625 | |
| 1626 return retval; | |
| 1627 } | |
| 1628 | |
| 1629 Matrix | |
| 1630 Matrix::ltsolve (MatrixType &mattype, const Matrix& b, octave_idx_type& info, | |
| 7788 | 1631 double& rcon, solve_singularity_handler sing_handler, |
| 5785 | 1632 bool calc_cond) const |
| 1633 { | |
| 1634 Matrix retval; | |
| 1635 | |
| 1636 octave_idx_type nr = rows (); | |
| 1637 octave_idx_type nc = cols (); | |
| 1638 | |
| 6924 | 1639 if (nr != b.rows ()) |
| 5785 | 1640 (*current_liboctave_error_handler) |
| 1641 ("matrix dimension mismatch solution of linear equations"); | |
| 6924 | 1642 else if (nr == 0 || nc == 0 || b.cols () == 0) |
| 1643 retval = Matrix (nc, b.cols (), 0.0); | |
| 5785 | 1644 else |
| 1645 { | |
| 1646 volatile int typ = mattype.type (); | |
| 1647 | |
| 1648 if (typ == MatrixType::Permuted_Lower || | |
| 1649 typ == MatrixType::Lower) | |
| 1650 { | |
| 1651 octave_idx_type b_nc = b.cols (); | |
| 7788 | 1652 rcon = 1.; |
| 5785 | 1653 info = 0; |
| 1654 | |
| 1655 if (typ == MatrixType::Permuted_Lower) | |
| 1656 { | |
| 1657 (*current_liboctave_error_handler) | |
| 6390 | 1658 ("permuted triangular matrix not implemented"); |
| 5785 | 1659 } |
| 1660 else | |
| 1661 { | |
| 1662 const double *tmp_data = fortran_vec (); | |
| 1663 | |
| 1664 if (calc_cond) | |
| 1665 { | |
| 1666 char norm = '1'; | |
| 1667 char uplo = 'L'; | |
| 1668 char dia = 'N'; | |
| 1669 | |
| 1670 Array<double> z (3 * nc); | |
| 1671 double *pz = z.fortran_vec (); | |
| 1672 Array<octave_idx_type> iz (nc); | |
| 1673 octave_idx_type *piz = iz.fortran_vec (); | |
| 1674 | |
| 1675 F77_XFCN (dtrcon, DTRCON, (F77_CONST_CHAR_ARG2 (&norm, 1), | |
| 1676 F77_CONST_CHAR_ARG2 (&uplo, 1), | |
| 1677 F77_CONST_CHAR_ARG2 (&dia, 1), | |
| 7788 | 1678 nr, tmp_data, nr, rcon, |
| 5785 | 1679 pz, piz, info |
| 1680 F77_CHAR_ARG_LEN (1) | |
| 1681 F77_CHAR_ARG_LEN (1) | |
| 1682 F77_CHAR_ARG_LEN (1))); | |
| 1683 | |
| 1684 if (info != 0) | |
| 1685 info = -2; | |
| 1686 | |
| 7788 | 1687 volatile double rcond_plus_one = rcon + 1.0; |
| 1688 | |
| 1689 if (rcond_plus_one == 1.0 || xisnan (rcon)) | |
| 5785 | 1690 { |
| 1691 info = -2; | |
| 1692 | |
| 1693 if (sing_handler) | |
| 7788 | 1694 sing_handler (rcon); |
| 5785 | 1695 else |
| 1696 (*current_liboctave_error_handler) | |
| 1697 ("matrix singular to machine precision, rcond = %g", | |
| 7788 | 1698 rcon); |
| 5785 | 1699 } |
| 1700 } | |
| 1701 | |
| 1702 if (info == 0) | |
| 1703 { | |
| 1704 retval = b; | |
| 1705 double *result = retval.fortran_vec (); | |
| 1706 | |
| 1707 char uplo = 'L'; | |
| 1708 char trans = 'N'; | |
| 1709 char dia = 'N'; | |
| 1710 | |
| 1711 F77_XFCN (dtrtrs, DTRTRS, (F77_CONST_CHAR_ARG2 (&uplo, 1), | |
| 1712 F77_CONST_CHAR_ARG2 (&trans, 1), | |
| 1713 F77_CONST_CHAR_ARG2 (&dia, 1), | |
| 1714 nr, b_nc, tmp_data, nr, | |
| 1715 result, nr, info | |
| 1716 F77_CHAR_ARG_LEN (1) | |
| 1717 F77_CHAR_ARG_LEN (1) | |
| 1718 F77_CHAR_ARG_LEN (1))); | |
| 1719 } | |
| 1720 } | |
| 1721 } | |
| 1722 else | |
| 1723 (*current_liboctave_error_handler) ("incorrect matrix type"); | |
| 1724 } | |
| 1725 | |
| 1726 return retval; | |
| 1727 } | |
| 1728 | |
| 1729 Matrix | |
| 1730 Matrix::fsolve (MatrixType &mattype, const Matrix& b, octave_idx_type& info, | |
| 7788 | 1731 double& rcon, solve_singularity_handler sing_handler, |
| 5785 | 1732 bool calc_cond) const |
| 1733 { | |
| 1734 Matrix retval; | |
| 1735 | |
| 1736 octave_idx_type nr = rows (); | |
| 1737 octave_idx_type nc = cols (); | |
| 1738 | |
| 6924 | 1739 if (nr != nc || nr != b.rows ()) |
| 5785 | 1740 (*current_liboctave_error_handler) |
| 1741 ("matrix dimension mismatch solution of linear equations"); | |
| 6924 | 1742 else if (nr == 0 || b.cols () == 0) |
| 1743 retval = Matrix (nc, b.cols (), 0.0); | |
| 5785 | 1744 else |
| 1745 { | |
| 1746 volatile int typ = mattype.type (); | |
| 1747 | |
| 1748 // Calculate the norm of the matrix, for later use. | |
| 1749 double anorm = -1.; | |
| 1750 | |
| 1751 if (typ == MatrixType::Hermitian) | |
| 1752 { | |
| 1753 info = 0; | |
| 1754 char job = 'L'; | |
| 1755 Matrix atmp = *this; | |
| 1756 double *tmp_data = atmp.fortran_vec (); | |
| 1757 anorm = atmp.abs().sum().row(static_cast<octave_idx_type>(0)).max(); | |
| 1758 | |
| 1759 F77_XFCN (dpotrf, DPOTRF, (F77_CONST_CHAR_ARG2 (&job, 1), nr, | |
| 1760 tmp_data, nr, info | |
| 1761 F77_CHAR_ARG_LEN (1))); | |
| 1762 | |
|
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|
1763 // Throw-away extra info LAPACK gives so as to not change output. |
| 7788 | 1764 rcon = 0.0; |
|
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1765 if (info != 0) |
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|
1766 { |
|
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1767 info = -2; |
|
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1768 |
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|
1769 mattype.mark_as_unsymmetric (); |
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1770 typ = MatrixType::Full; |
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1771 } |
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1772 else |
| 5785 | 1773 { |
|
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1774 if (calc_cond) |
| 5785 | 1775 { |
|
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1776 Array<double> z (3 * nc); |
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|
1777 double *pz = z.fortran_vec (); |
|
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1778 Array<octave_idx_type> iz (nc); |
|
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1779 octave_idx_type *piz = iz.fortran_vec (); |
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1780 |
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1781 F77_XFCN (dpocon, DPOCON, (F77_CONST_CHAR_ARG2 (&job, 1), |
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|
1782 nr, tmp_data, nr, anorm, |
| 7788 | 1783 rcon, pz, piz, info |
|
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1784 F77_CHAR_ARG_LEN (1))); |
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1785 |
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1786 if (info != 0) |
|
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1787 info = -2; |
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1788 |
| 7788 | 1789 volatile double rcond_plus_one = rcon + 1.0; |
| 1790 | |
| 1791 if (rcond_plus_one == 1.0 || xisnan (rcon)) | |
|
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1792 { |
|
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1793 info = -2; |
|
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1794 |
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1795 if (sing_handler) |
| 7788 | 1796 sing_handler (rcon); |
|
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1797 else |
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1798 (*current_liboctave_error_handler) |
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1799 ("matrix singular to machine precision, rcond = %g", |
| 7788 | 1800 rcon); |
|
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1801 } |
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1802 } |
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1803 |
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1804 if (info == 0) |
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1805 { |
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1806 retval = b; |
|
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1807 double *result = retval.fortran_vec (); |
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1808 |
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1809 octave_idx_type b_nc = b.cols (); |
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1810 |
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1811 F77_XFCN (dpotrs, DPOTRS, (F77_CONST_CHAR_ARG2 (&job, 1), |
|
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1812 nr, b_nc, tmp_data, nr, |
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1813 result, b.rows(), info |
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1814 F77_CHAR_ARG_LEN (1))); |
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1815 } |
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1816 else |
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1817 { |
| 5785 | 1818 mattype.mark_as_unsymmetric (); |
| 1819 typ = MatrixType::Full; | |
|
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1820 } |
| 5785 | 1821 } |
| 1822 } | |
| 1823 | |
| 1824 if (typ == MatrixType::Full) | |
| 1825 { | |
| 1826 info = 0; | |
| 1827 | |
| 1828 Array<octave_idx_type> ipvt (nr); | |
| 1829 octave_idx_type *pipvt = ipvt.fortran_vec (); | |
| 1830 | |
| 1831 Matrix atmp = *this; | |
| 1832 double *tmp_data = atmp.fortran_vec (); | |
| 1833 if(anorm < 0.) | |
| 1834 anorm = atmp.abs().sum().row(static_cast<octave_idx_type>(0)).max(); | |
| 1835 | |
| 1836 Array<double> z (4 * nc); | |
| 1837 double *pz = z.fortran_vec (); | |
| 1838 Array<octave_idx_type> iz (nc); | |
| 1839 octave_idx_type *piz = iz.fortran_vec (); | |
| 1840 | |
| 1841 F77_XFCN (dgetrf, DGETRF, (nr, nr, tmp_data, nr, pipvt, info)); | |
| 1842 | |
|
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1843 // Throw-away extra info LAPACK gives so as to not change output. |
| 7788 | 1844 rcon = 0.0; |
|
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1845 if (info != 0) |
| 5785 | 1846 { |
|
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1847 info = -2; |
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1848 |
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1849 if (sing_handler) |
| 7788 | 1850 sing_handler (rcon); |
|
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1851 else |
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1852 (*current_liboctave_error_handler) |
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1853 ("matrix singular to machine precision"); |
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1854 |
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1855 mattype.mark_as_rectangular (); |
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1856 } |
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1857 else |
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1858 { |
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1859 if (calc_cond) |
| 5785 | 1860 { |
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1861 // Now calculate the condition number for |
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1862 // non-singular matrix. |
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1863 char job = '1'; |
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1864 F77_XFCN (dgecon, DGECON, (F77_CONST_CHAR_ARG2 (&job, 1), |
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1865 nc, tmp_data, nr, anorm, |
| 7788 | 1866 rcon, pz, piz, info |
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1867 F77_CHAR_ARG_LEN (1))); |
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1868 |
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1869 if (info != 0) |
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1870 info = -2; |
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1871 |
| 7788 | 1872 volatile double rcond_plus_one = rcon + 1.0; |
| 1873 | |
| 1874 if (rcond_plus_one == 1.0 || xisnan (rcon)) | |
| 5785 | 1875 { |
|
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1876 info = -2; |
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1877 |
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1878 if (sing_handler) |
| 7788 | 1879 sing_handler (rcon); |
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1880 else |
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1881 (*current_liboctave_error_handler) |
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1882 ("matrix singular to machine precision, rcond = %g", |
| 7788 | 1883 rcon); |
| 5785 | 1884 } |
| 1885 } | |
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1886 |
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1887 if (info == 0) |
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1888 { |
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1889 retval = b; |
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1890 double *result = retval.fortran_vec (); |
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1891 |
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1892 octave_idx_type b_nc = b.cols (); |
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1893 |
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|
1894 char job = 'N'; |
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1895 F77_XFCN (dgetrs, DGETRS, (F77_CONST_CHAR_ARG2 (&job, 1), |
|
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1896 nr, b_nc, tmp_data, nr, |
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1897 pipvt, result, b.rows(), info |
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1898 F77_CHAR_ARG_LEN (1))); |
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1899 } |
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1900 else |
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|
1901 mattype.mark_as_rectangular (); |
| 5785 | 1902 } |
| 1903 } | |
| 1904 else if (typ != MatrixType::Hermitian) | |
| 1905 (*current_liboctave_error_handler) ("incorrect matrix type"); | |
| 1906 } | |
| 1907 | |
| 1908 return retval; | |
| 1909 } | |
| 1910 | |
| 1911 Matrix | |
| 1912 Matrix::solve (MatrixType &typ, const Matrix& b) const | |
| 1913 { | |
| 1914 octave_idx_type info; | |
| 7788 | 1915 double rcon; |
| 1916 return solve (typ, b, info, rcon, 0); | |
| 5785 | 1917 } |
| 1918 | |
| 1919 Matrix | |
| 1920 Matrix::solve (MatrixType &typ, const Matrix& b, octave_idx_type& info, | |
| 7788 | 1921 double& rcon) const |
| 5785 | 1922 { |
| 7788 | 1923 return solve (typ, b, info, rcon, 0); |
| 5785 | 1924 } |
| 1925 | |
| 1926 Matrix | |
| 1927 Matrix::solve (MatrixType &mattype, const Matrix& b, octave_idx_type& info, | |
| 7788 | 1928 double& rcon, solve_singularity_handler sing_handler, |
| 5785 | 1929 bool singular_fallback) const |
| 1930 { | |
| 1931 Matrix retval; | |
| 1932 int typ = mattype.type (); | |
| 1933 | |
| 1934 if (typ == MatrixType::Unknown) | |
| 1935 typ = mattype.type (*this); | |
| 1936 | |
| 1937 // Only calculate the condition number for LU/Cholesky | |
| 1938 if (typ == MatrixType::Upper || typ == MatrixType::Permuted_Upper) | |
| 7788 | 1939 retval = utsolve (mattype, b, info, rcon, sing_handler, false); |
| 5785 | 1940 else if (typ == MatrixType::Lower || typ == MatrixType::Permuted_Lower) |
| 7788 | 1941 retval = ltsolve (mattype, b, info, rcon, sing_handler, false); |
| 5785 | 1942 else if (typ == MatrixType::Full || typ == MatrixType::Hermitian) |
| 7788 | 1943 retval = fsolve (mattype, b, info, rcon, sing_handler, true); |
| 5785 | 1944 else if (typ != MatrixType::Rectangular) |
| 1945 { | |
| 1946 (*current_liboctave_error_handler) ("unknown matrix type"); | |
| 1947 return Matrix (); | |
| 1948 } | |
| 1949 | |
| 1950 // Rectangular or one of the above solvers flags a singular matrix | |
| 1951 if (singular_fallback && mattype.type () == MatrixType::Rectangular) | |
| 1952 { | |
| 1953 octave_idx_type rank; | |
| 7788 | 1954 retval = lssolve (b, info, rank, rcon); |
| 5785 | 1955 } |
| 1956 | |
| 1957 return retval; | |
| 1958 } | |
| 1959 | |
| 1960 ComplexMatrix | |
| 1961 Matrix::solve (MatrixType &typ, const ComplexMatrix& b) const | |
| 1962 { | |
| 1963 ComplexMatrix tmp (*this); | |
| 1964 return tmp.solve (typ, b); | |
| 1965 } | |
| 1966 | |
| 1967 ComplexMatrix | |
| 1968 Matrix::solve (MatrixType &typ, const ComplexMatrix& b, | |
| 1969 octave_idx_type& info) const | |
| 1970 { | |
| 1971 ComplexMatrix tmp (*this); | |
| 1972 return tmp.solve (typ, b, info); | |
| 1973 } | |
| 1974 | |
| 1975 ComplexMatrix | |
| 1976 Matrix::solve (MatrixType &typ, const ComplexMatrix& b, octave_idx_type& info, | |
| 7788 | 1977 double& rcon) const |
| 5785 | 1978 { |
| 1979 ComplexMatrix tmp (*this); | |
| 7788 | 1980 return tmp.solve (typ, b, info, rcon); |
| 5785 | 1981 } |
| 1982 | |
| 1983 ComplexMatrix | |
| 1984 Matrix::solve (MatrixType &typ, const ComplexMatrix& b, octave_idx_type& info, | |
| 7788 | 1985 double& rcon, solve_singularity_handler sing_handler, |
| 5785 | 1986 bool singular_fallback) const |
| 1987 { | |
| 1988 ComplexMatrix tmp (*this); | |
| 7788 | 1989 return tmp.solve (typ, b, info, rcon, sing_handler, singular_fallback); |
| 5785 | 1990 } |
| 1991 | |
| 1992 ColumnVector | |
| 1993 Matrix::solve (MatrixType &typ, const ColumnVector& b) const | |
| 1994 { | |
| 7788 | 1995 octave_idx_type info; double rcon; |
| 1996 return solve (typ, b, info, rcon); | |
| 5785 | 1997 } |
| 1998 | |
| 1999 ColumnVector | |
| 2000 Matrix::solve (MatrixType &typ, const ColumnVector& b, | |
| 2001 octave_idx_type& info) const | |
| 2002 { | |
| 7788 | 2003 double rcon; |
| 2004 return solve (typ, b, info, rcon); | |
| 5785 | 2005 } |
| 2006 | |
| 2007 ColumnVector | |
| 2008 Matrix::solve (MatrixType &typ, const ColumnVector& b, octave_idx_type& info, | |
| 7788 | 2009 double& rcon) const |
| 5785 | 2010 { |
| 7788 | 2011 return solve (typ, b, info, rcon, 0); |
| 5785 | 2012 } |
| 2013 | |
| 2014 ColumnVector | |
| 2015 Matrix::solve (MatrixType &typ, const ColumnVector& b, octave_idx_type& info, | |
| 7788 | 2016 double& rcon, solve_singularity_handler sing_handler) const |
| 5785 | 2017 { |
| 2018 Matrix tmp (b); | |
| 7788 | 2019 return solve (typ, tmp, info, rcon, sing_handler).column(static_cast<octave_idx_type> (0)); |
| 5785 | 2020 } |
| 2021 | |
| 2022 ComplexColumnVector | |
| 2023 Matrix::solve (MatrixType &typ, const ComplexColumnVector& b) const | |
| 2024 { | |
| 2025 ComplexMatrix tmp (*this); | |
| 2026 return tmp.solve (typ, b); | |
| 2027 } | |
| 2028 | |
| 2029 ComplexColumnVector | |
| 2030 Matrix::solve (MatrixType &typ, const ComplexColumnVector& b, | |
| 2031 octave_idx_type& info) const | |
| 2032 { | |
| 2033 ComplexMatrix tmp (*this); | |
| 2034 return tmp.solve (typ, b, info); | |
| 2035 } | |
| 2036 | |
| 2037 ComplexColumnVector | |
| 2038 Matrix::solve (MatrixType &typ, const ComplexColumnVector& b, | |
| 7788 | 2039 octave_idx_type& info, double& rcon) const |
| 5785 | 2040 { |
| 2041 ComplexMatrix tmp (*this); | |
| 7788 | 2042 return tmp.solve (typ, b, info, rcon); |
| 5785 | 2043 } |
| 2044 | |
| 2045 ComplexColumnVector | |
| 2046 Matrix::solve (MatrixType &typ, const ComplexColumnVector& b, | |
| 7788 | 2047 octave_idx_type& info, double& rcon, |
| 5785 | 2048 solve_singularity_handler sing_handler) const |
| 2049 { | |
| 2050 ComplexMatrix tmp (*this); | |
| 7788 | 2051 return tmp.solve(typ, b, info, rcon, sing_handler); |
| 5785 | 2052 } |
| 2053 | |
| 2054 Matrix | |
| 458 | 2055 Matrix::solve (const Matrix& b) const |
| 2056 { | |
| 5275 | 2057 octave_idx_type info; |
| 7788 | 2058 double rcon; |
| 2059 return solve (b, info, rcon, 0); | |
| 458 | 2060 } |
| 2061 | |
| 2062 Matrix | |
| 5275 | 2063 Matrix::solve (const Matrix& b, octave_idx_type& info) const |
| 458 | 2064 { |
| 7788 | 2065 double rcon; |
| 2066 return solve (b, info, rcon, 0); | |
| 458 | 2067 } |
| 2068 | |
| 2069 Matrix | |
| 7788 | 2070 Matrix::solve (const Matrix& b, octave_idx_type& info, double& rcon) const |
| 458 | 2071 { |
| 7788 | 2072 return solve (b, info, rcon, 0); |
| 3480 | 2073 } |
| 2074 | |
| 2075 Matrix | |
| 5785 | 2076 Matrix::solve (const Matrix& b, octave_idx_type& info, |
| 7788 | 2077 double& rcon, solve_singularity_handler sing_handler) const |
| 3480 | 2078 { |
| 5785 | 2079 MatrixType mattype (*this); |
| 7788 | 2080 return solve (mattype, b, info, rcon, sing_handler); |
| 458 | 2081 } |
| 2082 | |
| 2083 ComplexMatrix | |
| 2084 Matrix::solve (const ComplexMatrix& b) const | |
| 2085 { | |
| 2086 ComplexMatrix tmp (*this); | |
| 2087 return tmp.solve (b); | |
| 2088 } | |
| 2089 | |
| 2090 ComplexMatrix | |
| 5275 | 2091 Matrix::solve (const ComplexMatrix& b, octave_idx_type& info) const |
| 458 | 2092 { |
| 2093 ComplexMatrix tmp (*this); | |
| 2094 return tmp.solve (b, info); | |
| 2095 } | |
| 2096 | |
| 2097 ComplexMatrix | |
| 7788 | 2098 Matrix::solve (const ComplexMatrix& b, octave_idx_type& info, double& rcon) const |
| 458 | 2099 { |
| 2100 ComplexMatrix tmp (*this); | |
| 7788 | 2101 return tmp.solve (b, info, rcon); |
| 458 | 2102 } |
| 2103 | |
| 3480 | 2104 ComplexMatrix |
| 7788 | 2105 Matrix::solve (const ComplexMatrix& b, octave_idx_type& info, double& rcon, |
| 3480 | 2106 solve_singularity_handler sing_handler) const |
| 2107 { | |
| 2108 ComplexMatrix tmp (*this); | |
| 7788 | 2109 return tmp.solve (b, info, rcon, sing_handler); |
| 3480 | 2110 } |
| 2111 | |
| 458 | 2112 ColumnVector |
| 2113 Matrix::solve (const ColumnVector& b) const | |
| 2114 { | |
| 7788 | 2115 octave_idx_type info; double rcon; |
| 2116 return solve (b, info, rcon); | |
| 458 | 2117 } |
| 2118 | |
| 2119 ColumnVector | |
| 5275 | 2120 Matrix::solve (const ColumnVector& b, octave_idx_type& info) const |
| 458 | 2121 { |
| 7788 | 2122 double rcon; |
| 2123 return solve (b, info, rcon); | |
| 458 | 2124 } |
| 2125 | |
| 2126 ColumnVector | |
| 7788 | 2127 Matrix::solve (const ColumnVector& b, octave_idx_type& info, double& rcon) const |
| 458 | 2128 { |
| 7788 | 2129 return solve (b, info, rcon, 0); |
| 3480 | 2130 } |
| 2131 | |
| 2132 ColumnVector | |
| 7788 | 2133 Matrix::solve (const ColumnVector& b, octave_idx_type& info, double& rcon, |
| 3480 | 2134 solve_singularity_handler sing_handler) const |
| 2135 { | |
| 5785 | 2136 MatrixType mattype (*this); |
| 7788 | 2137 return solve (mattype, b, info, rcon, sing_handler); |
| 458 | 2138 } |
| 2139 | |
| 2140 ComplexColumnVector | |
| 2141 Matrix::solve (const ComplexColumnVector& b) const | |
| 2142 { | |
| 2143 ComplexMatrix tmp (*this); | |
| 2144 return tmp.solve (b); | |
| 2145 } | |
| 2146 | |
| 2147 ComplexColumnVector | |
| 5275 | 2148 Matrix::solve (const ComplexColumnVector& b, octave_idx_type& info) const |
| 458 | 2149 { |
| 2150 ComplexMatrix tmp (*this); | |
| 2151 return tmp.solve (b, info); | |
| 2152 } | |
| 2153 | |
| 2154 ComplexColumnVector | |
| 7788 | 2155 Matrix::solve (const ComplexColumnVector& b, octave_idx_type& info, double& rcon) const |
| 458 | 2156 { |
| 2157 ComplexMatrix tmp (*this); | |
| 7788 | 2158 return tmp.solve (b, info, rcon); |
| 458 | 2159 } |
| 2160 | |
| 3480 | 2161 ComplexColumnVector |
| 7788 | 2162 Matrix::solve (const ComplexColumnVector& b, octave_idx_type& info, double& rcon, |
| 3480 | 2163 solve_singularity_handler sing_handler) const |
| 2164 { | |
| 2165 ComplexMatrix tmp (*this); | |
| 7788 | 2166 return tmp.solve (b, info, rcon, sing_handler); |
| 3480 | 2167 } |
| 2168 | |
| 458 | 2169 Matrix |
| 2170 Matrix::lssolve (const Matrix& b) const | |
| 2171 { | |
| 5275 | 2172 octave_idx_type info; |
| 2173 octave_idx_type rank; | |
| 7788 | 2174 double rcon; |
| 2175 return lssolve (b, info, rank, rcon); | |
| 458 | 2176 } |
| 2177 | |
| 2178 Matrix | |
| 5275 | 2179 Matrix::lssolve (const Matrix& b, octave_idx_type& info) const |
| 458 | 2180 { |
| 5275 | 2181 octave_idx_type rank; |
| 7788 | 2182 double rcon; |
| 2183 return lssolve (b, info, rank, rcon); | |
| 458 | 2184 } |
| 2185 | |
| 2186 Matrix | |
| 7072 | 2187 Matrix::lssolve (const Matrix& b, octave_idx_type& info, |
| 2188 octave_idx_type& rank) const | |
| 458 | 2189 { |
| 7788 | 2190 double rcon; |
| 2191 return lssolve (b, info, rank, rcon); | |
| 7076 | 2192 } |
| 2193 | |
| 2194 Matrix | |
| 2195 Matrix::lssolve (const Matrix& b, octave_idx_type& info, | |
| 7788 | 2196 octave_idx_type& rank, double &rcon) const |
| 7076 | 2197 { |
| 1948 | 2198 Matrix retval; |
| 2199 | |
| 5275 | 2200 octave_idx_type nrhs = b.cols (); |
| 2201 | |
| 2202 octave_idx_type m = rows (); | |
| 2203 octave_idx_type n = cols (); | |
| 458 | 2204 |
| 6924 | 2205 if (m != b.rows ()) |
| 1948 | 2206 (*current_liboctave_error_handler) |
| 6924 | 2207 ("matrix dimension mismatch solution of linear equations"); |
| 2208 else if (m == 0 || n == 0 || b.cols () == 0) | |
| 2209 retval = Matrix (n, b.cols (), 0.0); | |
| 1948 | 2210 else |
| 458 | 2211 { |
| 7072 | 2212 volatile octave_idx_type minmn = (m < n ? m : n); |
| 2213 octave_idx_type maxmn = m > n ? m : n; | |
| 7788 | 2214 rcon = -1.0; |
| 7072 | 2215 if (m != n) |
| 2216 { | |
| 2217 retval = Matrix (maxmn, nrhs, 0.0); | |
| 2218 | |
| 2219 for (octave_idx_type j = 0; j < nrhs; j++) | |
| 2220 for (octave_idx_type i = 0; i < m; i++) | |
| 2221 retval.elem (i, j) = b.elem (i, j); | |
| 2222 } | |
| 2223 else | |
| 2224 retval = b; | |
| 2225 | |
| 1948 | 2226 Matrix atmp = *this; |
| 2227 double *tmp_data = atmp.fortran_vec (); | |
| 2228 | |
| 7072 | 2229 double *pretval = retval.fortran_vec (); |
| 2230 Array<double> s (minmn); | |
| 7071 | 2231 double *ps = s.fortran_vec (); |
| 1948 | 2232 |
| 7072 | 2233 // Ask DGELSD what the dimension of WORK should be. |
| 5275 | 2234 octave_idx_type lwork = -1; |
| 3752 | 2235 |
| 2236 Array<double> work (1); | |
| 1948 | 2237 |
| 7477 | 2238 octave_idx_type smlsiz; |
| 2239 F77_FUNC (xilaenv, XILAENV) (9, F77_CONST_CHAR_ARG2 ("DGELSD", 6), | |
| 2240 F77_CONST_CHAR_ARG2 (" ", 1), | |
| 7478 | 2241 0, 0, 0, 0, smlsiz |
| 7477 | 2242 F77_CHAR_ARG_LEN (6) |
| 7478 | 2243 F77_CHAR_ARG_LEN (1)); |
| 7079 | 2244 |
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2245 octave_idx_type mnthr; |
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2246 F77_FUNC (xilaenv, XILAENV) (6, F77_CONST_CHAR_ARG2 ("DGELSD", 6), |
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2247 F77_CONST_CHAR_ARG2 (" ", 1), |
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2248 m, n, nrhs, -1, mnthr |
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2249 F77_CHAR_ARG_LEN (6) |
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2250 F77_CHAR_ARG_LEN (1)); |
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2251 |
| 7079 | 2252 // We compute the size of iwork because DGELSD in older versions |
| 2253 // of LAPACK does not return it on a query call. | |
| 7124 | 2254 double dminmn = static_cast<double> (minmn); |
| 2255 double dsmlsizp1 = static_cast<double> (smlsiz+1); | |
| 7079 | 2256 #if defined (HAVE_LOG2) |
| 7367 | 2257 double tmp = log2 (dminmn / dsmlsizp1); |
| 7079 | 2258 #else |
| 7367 | 2259 double tmp = log (dminmn / dsmlsizp1) / log (2.0); |
| 7079 | 2260 #endif |
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2261 octave_idx_type nlvl = static_cast<octave_idx_type> (tmp) + 1; |
| 7079 | 2262 if (nlvl < 0) |
| 2263 nlvl = 0; | |
| 2264 | |
| 2265 octave_idx_type liwork = 3 * minmn * nlvl + 11 * minmn; | |
| 2266 if (liwork < 1) | |
| 2267 liwork = 1; | |
| 7072 | 2268 Array<octave_idx_type> iwork (liwork); |
| 2269 octave_idx_type* piwork = iwork.fortran_vec (); | |
| 2270 | |
| 2271 F77_XFCN (dgelsd, DGELSD, (m, n, nrhs, tmp_data, m, pretval, maxmn, | |
| 7788 | 2272 ps, rcon, rank, work.fortran_vec (), |
| 7072 | 2273 lwork, piwork, info)); |
| 1948 | 2274 |
| 7476 | 2275 // The workspace query is broken in at least LAPACK 3.0.0 |
|
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2276 // through 3.1.1 when n >= mnthr. The obtuse formula below |
| 7476 | 2277 // should provide sufficient workspace for DGELSD to operate |
| 2278 // efficiently. | |
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2279 if (n >= mnthr) |
| 7476 | 2280 { |
| 2281 const octave_idx_type wlalsd | |
| 2282 = 9*m + 2*m*smlsiz + 8*m*nlvl + m*nrhs + (smlsiz+1)*(smlsiz+1); | |
| 2283 | |
| 2284 octave_idx_type addend = m; | |
| 2285 | |
| 2286 if (2*m-4 > addend) | |
| 2287 addend = 2*m-4; | |
| 2288 | |
| 2289 if (nrhs > addend) | |
| 2290 addend = nrhs; | |
| 2291 | |
| 2292 if (n-3*m > addend) | |
| 2293 addend = n-3*m; | |
| 2294 | |
| 2295 if (wlalsd > addend) | |
| 2296 addend = wlalsd; | |
| 2297 | |
| 2298 const octave_idx_type lworkaround = 4*m + m*m + addend; | |
| 2299 | |
| 2300 if (work(0) < lworkaround) | |
| 2301 work(0) = lworkaround; | |
| 2302 } | |
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2303 else if (m >= n) |
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2304 { |
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2305 octave_idx_type lworkaround |
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2306 = 12*n + 2*n*smlsiz + 8*n*nlvl + n*nrhs + (smlsiz+1)*(smlsiz+1); |
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2307 |
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2308 if (work(0) < lworkaround) |
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2309 work(0) = lworkaround; |
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2310 } |
| 7476 | 2311 |
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2312 lwork = static_cast<octave_idx_type> (work(0)); |
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2313 work.resize (lwork); |
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2314 |
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2315 F77_XFCN (dgelsd, DGELSD, (m, n, nrhs, tmp_data, m, pretval, |
| 7788 | 2316 maxmn, ps, rcon, rank, |
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2317 work.fortran_vec (), lwork, |
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2318 piwork, info)); |
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2319 |
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2320 if (rank < minmn) |
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2321 (*current_liboctave_warning_handler) |
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2322 ("dgelsd: rank deficient %dx%d matrix, rank = %d", m, n, rank); |
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2323 if (s.elem (0) == 0.0) |
| 7788 | 2324 rcon = 0.0; |
| 1948 | 2325 else |
| 7788 | 2326 rcon = s.elem (minmn - 1) / s.elem (0); |
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2327 |
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|
2328 retval.resize (n, nrhs); |
| 458 | 2329 } |
| 2330 | |
| 2331 return retval; | |
| 2332 } | |
| 2333 | |
| 2334 ComplexMatrix | |
| 2335 Matrix::lssolve (const ComplexMatrix& b) const | |
| 2336 { | |
| 2337 ComplexMatrix tmp (*this); | |
| 5275 | 2338 octave_idx_type info; |
| 2339 octave_idx_type rank; | |
| 7788 | 2340 double rcon; |
| 2341 return tmp.lssolve (b, info, rank, rcon); | |
| 458 | 2342 } |
| 2343 | |
| 2344 ComplexMatrix | |
| 5275 | 2345 Matrix::lssolve (const ComplexMatrix& b, octave_idx_type& info) const |
| 458 | 2346 { |
| 2347 ComplexMatrix tmp (*this); | |
| 5275 | 2348 octave_idx_type rank; |
| 7788 | 2349 double rcon; |
| 2350 return tmp.lssolve (b, info, rank, rcon); | |
| 458 | 2351 } |
| 2352 | |
| 2353 ComplexMatrix | |
| 7076 | 2354 Matrix::lssolve (const ComplexMatrix& b, octave_idx_type& info, |
| 2355 octave_idx_type& rank) const | |
| 458 | 2356 { |
| 2357 ComplexMatrix tmp (*this); | |
| 7788 | 2358 double rcon; |
| 2359 return tmp.lssolve (b, info, rank, rcon); | |
| 7076 | 2360 } |
| 2361 | |
| 2362 ComplexMatrix | |
| 2363 Matrix::lssolve (const ComplexMatrix& b, octave_idx_type& info, | |
| 7788 | 2364 octave_idx_type& rank, double& rcon) const |
| 7076 | 2365 { |
| 2366 ComplexMatrix tmp (*this); | |
| 7788 | 2367 return tmp.lssolve (b, info, rank, rcon); |
| 458 | 2368 } |
| 2369 | |
| 2370 ColumnVector | |
| 2371 Matrix::lssolve (const ColumnVector& b) const | |
| 2372 { | |
| 5275 | 2373 octave_idx_type info; |
| 2374 octave_idx_type rank; | |
| 7788 | 2375 double rcon; |
| 2376 return lssolve (b, info, rank, rcon); | |
| 458 | 2377 } |
| 2378 | |
| 2379 ColumnVector | |
| 5275 | 2380 Matrix::lssolve (const ColumnVector& b, octave_idx_type& info) const |
| 458 | 2381 { |
| 5275 | 2382 octave_idx_type rank; |
| 7788 | 2383 double rcon; |
| 2384 return lssolve (b, info, rank, rcon); | |
| 458 | 2385 } |
| 2386 | |
| 2387 ColumnVector | |
| 7072 | 2388 Matrix::lssolve (const ColumnVector& b, octave_idx_type& info, |
| 2389 octave_idx_type& rank) const | |
| 458 | 2390 { |
| 7788 | 2391 double rcon; |
| 2392 return lssolve (b, info, rank, rcon); | |
| 7076 | 2393 } |
| 2394 | |
| 2395 ColumnVector | |
| 2396 Matrix::lssolve (const ColumnVector& b, octave_idx_type& info, | |
| 7788 | 2397 octave_idx_type& rank, double &rcon) const |
| 7076 | 2398 { |
| 1948 | 2399 ColumnVector retval; |
| 2400 | |
| 5275 | 2401 octave_idx_type nrhs = 1; |
| 2402 | |
| 2403 octave_idx_type m = rows (); | |
| 2404 octave_idx_type n = cols (); | |
| 458 | 2405 |
| 6924 | 2406 if (m != b.length ()) |
| 1948 | 2407 (*current_liboctave_error_handler) |
| 6924 | 2408 ("matrix dimension mismatch solution of linear equations"); |
| 2409 else if (m == 0 || n == 0) | |
| 2410 retval = ColumnVector (n, 0.0); | |
| 1948 | 2411 else |
| 458 | 2412 { |
| 7072 | 2413 volatile octave_idx_type minmn = (m < n ? m : n); |
| 2414 octave_idx_type maxmn = m > n ? m : n; | |
| 7788 | 2415 rcon = -1.0; |
| 7072 | 2416 |
| 2417 if (m != n) | |
| 2418 { | |
| 2419 retval = ColumnVector (maxmn, 0.0); | |
| 2420 | |
| 2421 for (octave_idx_type i = 0; i < m; i++) | |
| 2422 retval.elem (i) = b.elem (i); | |
| 2423 } | |
| 2424 else | |
| 2425 retval = b; | |
| 2426 | |
| 1948 | 2427 Matrix atmp = *this; |
| 2428 double *tmp_data = atmp.fortran_vec (); | |
| 2429 | |
| 7072 | 2430 double *pretval = retval.fortran_vec (); |
| 2431 Array<double> s (minmn); | |
| 7071 | 2432 double *ps = s.fortran_vec (); |
| 1948 | 2433 |
| 7072 | 2434 // Ask DGELSD what the dimension of WORK should be. |
| 5275 | 2435 octave_idx_type lwork = -1; |
| 3752 | 2436 |
| 2437 Array<double> work (1); | |
| 2438 | |
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2439 octave_idx_type smlsiz; |
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2440 F77_FUNC (xilaenv, XILAENV) (9, F77_CONST_CHAR_ARG2 ("DGELSD", 6), |
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2441 F77_CONST_CHAR_ARG2 (" ", 1), |
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2442 0, 0, 0, 0, smlsiz |
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2443 F77_CHAR_ARG_LEN (6) |
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2444 F77_CHAR_ARG_LEN (1)); |
| 7079 | 2445 |
| 2446 // We compute the size of iwork because DGELSD in older versions | |
| 2447 // of LAPACK does not return it on a query call. | |
| 7124 | 2448 double dminmn = static_cast<double> (minmn); |
| 2449 double dsmlsizp1 = static_cast<double> (smlsiz+1); | |
| 7079 | 2450 #if defined (HAVE_LOG2) |
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2451 double tmp = log2 (dminmn / dsmlsizp1); |
| 7079 | 2452 #else |
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2453 double tmp = log (dminmn / dsmlsizp1) / log (2.0); |
| 7079 | 2454 #endif |
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2455 octave_idx_type nlvl = static_cast<octave_idx_type> (tmp) + 1; |
| 7079 | 2456 if (nlvl < 0) |
| 2457 nlvl = 0; | |
| 2458 | |
| 2459 octave_idx_type liwork = 3 * minmn * nlvl + 11 * minmn; | |
| 2460 if (liwork < 1) | |
| 2461 liwork = 1; | |
| 7072 | 2462 Array<octave_idx_type> iwork (liwork); |
| 2463 octave_idx_type* piwork = iwork.fortran_vec (); | |
| 2464 | |
| 2465 F77_XFCN (dgelsd, DGELSD, (m, n, nrhs, tmp_data, m, pretval, maxmn, | |
| 7788 | 2466 ps, rcon, rank, work.fortran_vec (), |
| 7072 | 2467 lwork, piwork, info)); |
| 1948 | 2468 |
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2469 lwork = static_cast<octave_idx_type> (work(0)); |
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2470 work.resize (lwork); |
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2471 |
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2472 F77_XFCN (dgelsd, DGELSD, (m, n, nrhs, tmp_data, m, pretval, |
| 7788 | 2473 maxmn, ps, rcon, rank, |
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2474 work.fortran_vec (), lwork, |
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2475 piwork, info)); |
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2476 |
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2477 if (rank < minmn) |
| 1948 | 2478 { |
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2479 if (rank < minmn) |
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2480 (*current_liboctave_warning_handler) |
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2481 ("dgelsd: rank deficient %dx%d matrix, rank = %d", m, n, rank); |
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2482 if (s.elem (0) == 0.0) |
| 7788 | 2483 rcon = 0.0; |
|
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2484 else |
| 7788 | 2485 rcon = s.elem (minmn - 1) / s.elem (0); |
| 1948 | 2486 } |
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changeset
|
2487 |
|
29980c6b8604
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7478
diff
changeset
|
2488 retval.resize (n, nrhs); |
| 458 | 2489 } |
| 2490 | |
| 2491 return retval; | |
| 2492 } | |
| 2493 | |
| 2494 ComplexColumnVector | |
| 2495 Matrix::lssolve (const ComplexColumnVector& b) const | |
| 2496 { | |
| 2497 ComplexMatrix tmp (*this); | |
| 7076 | 2498 octave_idx_type info; |
| 2499 octave_idx_type rank; | |
| 7788 | 2500 double rcon; |
| 2501 return tmp.lssolve (b, info, rank, rcon); | |
| 458 | 2502 } |
| 2503 | |
| 2504 ComplexColumnVector | |
| 5275 | 2505 Matrix::lssolve (const ComplexColumnVector& b, octave_idx_type& info) const |
| 458 | 2506 { |
| 2507 ComplexMatrix tmp (*this); | |
| 7076 | 2508 octave_idx_type rank; |
| 7788 | 2509 double rcon; |
| 2510 return tmp.lssolve (b, info, rank, rcon); | |
| 458 | 2511 } |
| 2512 | |
| 2513 ComplexColumnVector | |
| 7076 | 2514 Matrix::lssolve (const ComplexColumnVector& b, octave_idx_type& info, |
| 2515 octave_idx_type& rank) const | |
| 458 | 2516 { |
| 2517 ComplexMatrix tmp (*this); | |
| 7788 | 2518 double rcon; |
| 2519 return tmp.lssolve (b, info, rank, rcon); | |
| 7076 | 2520 } |
| 2521 | |
| 2522 ComplexColumnVector | |
| 2523 Matrix::lssolve (const ComplexColumnVector& b, octave_idx_type& info, | |
| 7788 | 2524 octave_idx_type& rank, double &rcon) const |
| 7076 | 2525 { |
| 2526 ComplexMatrix tmp (*this); | |
| 7788 | 2527 return tmp.lssolve (b, info, rank, rcon); |
| 458 | 2528 } |
| 2529 | |
| 1819 | 2530 // Constants for matrix exponential calculation. |
| 2531 | |
| 2532 static double padec [] = | |
| 2533 { | |
| 2534 5.0000000000000000e-1, | |
| 2535 1.1666666666666667e-1, | |
| 2536 1.6666666666666667e-2, | |
| 2537 1.6025641025641026e-3, | |
| 2538 1.0683760683760684e-4, | |
| 2539 4.8562548562548563e-6, | |
| 2540 1.3875013875013875e-7, | |
| 2541 1.9270852604185938e-9, | |
| 2542 }; | |
| 2543 | |
| 7400 | 2544 static void |
| 7788 | 2545 solve_singularity_warning (double rcon) |
| 7400 | 2546 { |
| 2547 (*current_liboctave_warning_handler) | |
| 2548 ("singular matrix encountered in expm calculation, rcond = %g", | |
| 7788 | 2549 rcon); |
| 7400 | 2550 } |
| 2551 | |
| 458 | 2552 Matrix& |
| 2553 Matrix::operator += (const DiagMatrix& a) | |
| 2554 { | |
| 5275 | 2555 octave_idx_type nr = rows (); |
| 2556 octave_idx_type nc = cols (); | |
| 2557 | |
| 2558 octave_idx_type a_nr = a.rows (); | |
| 2559 octave_idx_type a_nc = a.cols (); | |
| 2385 | 2560 |
| 2561 if (nr != a_nr || nc != a_nc) | |
| 458 | 2562 { |
| 2385 | 2563 gripe_nonconformant ("operator +=", nr, nc, a_nr, a_nc); |
| 458 | 2564 return *this; |
| 2565 } | |
| 2566 | |
| 5275 | 2567 for (octave_idx_type i = 0; i < a.length (); i++) |
| 458 | 2568 elem (i, i) += a.elem (i, i); |
| 2569 | |
| 2570 return *this; | |
| 2571 } | |
| 2572 | |
| 2573 Matrix& | |
| 2574 Matrix::operator -= (const DiagMatrix& a) | |
| 2575 { | |
| 5275 | 2576 octave_idx_type nr = rows (); |
| 2577 octave_idx_type nc = cols (); | |
| 2578 | |
| 2579 octave_idx_type a_nr = a.rows (); | |
| 2580 octave_idx_type a_nc = a.cols (); | |
| 2385 | 2581 |
| 2582 if (nr != a_nr || nc != a_nc) | |
| 458 | 2583 { |
| 2385 | 2584 gripe_nonconformant ("operator -=", nr, nc, a_nr, a_nc); |
| 458 | 2585 return *this; |
| 2586 } | |
| 2587 | |
| 5275 | 2588 for (octave_idx_type i = 0; i < a.length (); i++) |
| 458 | 2589 elem (i, i) -= a.elem (i, i); |
| 2590 | |
| 2591 return *this; | |
| 2592 } | |
| 2593 | |
| 2594 // unary operations | |
| 2595 | |
| 2964 | 2596 boolMatrix |
| 458 | 2597 Matrix::operator ! (void) const |
| 2598 { | |
| 5275 | 2599 octave_idx_type nr = rows (); |
| 2600 octave_idx_type nc = cols (); | |
| 458 | 2601 |
| 2964 | 2602 boolMatrix b (nr, nc); |
| 458 | 2603 |
| 5275 | 2604 for (octave_idx_type j = 0; j < nc; j++) |
| 2605 for (octave_idx_type i = 0; i < nr; i++) | |
| 458 | 2606 b.elem (i, j) = ! elem (i, j); |
| 2607 | |
| 2608 return b; | |
| 2609 } | |
| 2610 | |
| 1205 | 2611 // column vector by row vector -> matrix operations |
| 458 | 2612 |
| 1205 | 2613 Matrix |
| 2614 operator * (const ColumnVector& v, const RowVector& a) | |
| 458 | 2615 { |
| 1948 | 2616 Matrix retval; |
| 2617 | |
| 5275 | 2618 octave_idx_type len = v.length (); |
| 3233 | 2619 |
| 2620 if (len != 0) | |
| 1205 | 2621 { |
| 5275 | 2622 octave_idx_type a_len = a.length (); |
| 3233 | 2623 |
| 2624 retval.resize (len, a_len); | |
| 2625 double *c = retval.fortran_vec (); | |
| 2626 | |
| 4552 | 2627 F77_XFCN (dgemm, DGEMM, (F77_CONST_CHAR_ARG2 ("N", 1), |
| 2628 F77_CONST_CHAR_ARG2 ("N", 1), | |
| 2629 len, a_len, 1, 1.0, v.data (), len, | |
| 2630 a.data (), 1, 0.0, c, len | |
| 2631 F77_CHAR_ARG_LEN (1) | |
| 2632 F77_CHAR_ARG_LEN (1))); | |
| 1205 | 2633 } |
| 458 | 2634 |
| 1948 | 2635 return retval; |
| 458 | 2636 } |
| 2637 | |
| 2638 // other operations. | |
| 2639 | |
| 2640 Matrix | |
|
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7488
diff
changeset
|
2641 Matrix::map (dmapper fcn) const |
| 1205 | 2642 { |
|
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diff
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|
2643 return MArray2<double>::map<double> (func_ptr (fcn)); |
|
8c32f95c2639
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parents:
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diff
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|
2644 } |
|
8c32f95c2639
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parents:
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diff
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|
2645 |
|
8c32f95c2639
convert mapper functions to new format
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parents:
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diff
changeset
|
2646 ComplexMatrix |
|
8c32f95c2639
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parents:
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diff
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|
2647 Matrix::map (cmapper fcn) const |
|
8c32f95c2639
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diff
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|
2648 { |
|
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parents:
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diff
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|
2649 return MArray2<double>::map<Complex> (func_ptr (fcn)); |
| 1205 | 2650 } |
| 2651 | |
| 3248 | 2652 boolMatrix |
|
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diff
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|
2653 Matrix::map (bmapper fcn) const |
| 3248 | 2654 { |
|
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diff
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|
2655 return MArray2<double>::map<bool> (func_ptr (fcn)); |
| 458 | 2656 } |
| 2657 | |
| 2385 | 2658 bool |
| 4431 | 2659 Matrix::any_element_is_negative (bool neg_zero) const |
| 2385 | 2660 { |
| 5275 | 2661 octave_idx_type nel = nelem (); |
| 2385 | 2662 |
| 4431 | 2663 if (neg_zero) |
| 2664 { | |
| 5275 | 2665 for (octave_idx_type i = 0; i < nel; i++) |
| 4634 | 2666 if (lo_ieee_signbit (elem (i))) |
| 2667 return true; | |
| 4431 | 2668 } |
| 2669 else | |
| 2670 { | |
| 5275 | 2671 for (octave_idx_type i = 0; i < nel; i++) |
| 4634 | 2672 if (elem (i) < 0) |
| 2673 return true; | |
| 4431 | 2674 } |
| 2385 | 2675 |
| 2676 return false; | |
| 2677 } | |
| 2678 | |
|
7922
935be827eaf8
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parents:
7803
diff
changeset
|
2679 bool |
|
935be827eaf8
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parents:
7803
diff
changeset
|
2680 Matrix::any_element_is_nan (void) const |
|
935be827eaf8
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parents:
7803
diff
changeset
|
2681 { |
|
935be827eaf8
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parents:
7803
diff
changeset
|
2682 octave_idx_type nel = nelem (); |
|
935be827eaf8
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parents:
7803
diff
changeset
|
2683 |
|
935be827eaf8
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John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
2684 for (octave_idx_type i = 0; i < nel; i++) |
|
935be827eaf8
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John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
2685 { |
|
935be827eaf8
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parents:
7803
diff
changeset
|
2686 double val = elem (i); |
|
935be827eaf8
error for NaN values in & and | expressions
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parents:
7803
diff
changeset
|
2687 if (xisnan (val)) |
|
935be827eaf8
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John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
2688 return true; |
|
935be827eaf8
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John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
2689 } |
|
935be827eaf8
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parents:
7803
diff
changeset
|
2690 |
|
935be827eaf8
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John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
2691 return false; |
|
935be827eaf8
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John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
2692 } |
| 2385 | 2693 |
| 2694 bool | |
| 2695 Matrix::any_element_is_inf_or_nan (void) const | |
| 2696 { | |
| 5275 | 2697 octave_idx_type nel = nelem (); |
| 2698 | |
| 2699 for (octave_idx_type i = 0; i < nel; i++) | |
| 4634 | 2700 { |
| 2701 double val = elem (i); | |
| 2702 if (xisinf (val) || xisnan (val)) | |
| 2703 return true; | |
| 2704 } | |
| 2705 | |
| 2706 return false; | |
| 2385 | 2707 } |
| 2708 | |
| 2709 bool | |
| 5943 | 2710 Matrix::any_element_not_one_or_zero (void) const |
| 2711 { | |
| 2712 octave_idx_type nel = nelem (); | |
| 2713 | |
| 2714 for (octave_idx_type i = 0; i < nel; i++) | |
| 2715 { | |
| 2716 double val = elem (i); | |
| 2717 if (val != 0 && val != 1) | |
| 2718 return true; | |
| 2719 } | |
| 2720 | |
| 2721 return false; | |
| 2722 } | |
| 2723 | |
| 2724 bool | |
| 2385 | 2725 Matrix::all_elements_are_int_or_inf_or_nan (void) const |
| 2726 { | |
| 5275 | 2727 octave_idx_type nel = nelem (); |
| 2728 | |
| 2729 for (octave_idx_type i = 0; i < nel; i++) | |
| 4634 | 2730 { |
| 2731 double val = elem (i); | |
| 2732 if (xisnan (val) || D_NINT (val) == val) | |
| 2733 continue; | |
| 2734 else | |
| 2735 return false; | |
| 2736 } | |
| 2385 | 2737 |
| 2738 return true; | |
| 2739 } | |
| 2740 | |
| 1968 | 2741 // Return nonzero if any element of M is not an integer. Also extract |
| 2742 // the largest and smallest values and return them in MAX_VAL and MIN_VAL. | |
| 2743 | |
| 2385 | 2744 bool |
| 1968 | 2745 Matrix::all_integers (double& max_val, double& min_val) const |
| 2746 { | |
| 5275 | 2747 octave_idx_type nel = nelem (); |
| 4634 | 2748 |
| 2749 if (nel > 0) | |
| 1968 | 2750 { |
| 4634 | 2751 max_val = elem (0); |
| 2752 min_val = elem (0); | |
| 1968 | 2753 } |
| 2754 else | |
| 2385 | 2755 return false; |
| 1968 | 2756 |
| 5275 | 2757 for (octave_idx_type i = 0; i < nel; i++) |
| 4634 | 2758 { |
| 2759 double val = elem (i); | |
| 2760 | |
| 2761 if (val > max_val) | |
| 2762 max_val = val; | |
| 2763 | |
| 2764 if (val < min_val) | |
| 2765 min_val = val; | |
| 2766 | |
| 2767 if (D_NINT (val) != val) | |
| 2768 return false; | |
| 2769 } | |
| 2385 | 2770 |
| 2771 return true; | |
| 1968 | 2772 } |
| 2773 | |
| 2385 | 2774 bool |
| 1968 | 2775 Matrix::too_large_for_float (void) const |
| 2776 { | |
| 5275 | 2777 octave_idx_type nel = nelem (); |
| 2778 | |
| 2779 for (octave_idx_type i = 0; i < nel; i++) | |
| 4634 | 2780 { |
| 2781 double val = elem (i); | |
| 2782 | |
| 5389 | 2783 if (! (xisnan (val) || xisinf (val)) |
| 5387 | 2784 && fabs (val) > FLT_MAX) |
| 4634 | 2785 return true; |
| 2786 } | |
| 1968 | 2787 |
| 2385 | 2788 return false; |
| 1968 | 2789 } |
| 2790 | |
| 5775 | 2791 // FIXME Do these really belong here? Maybe they should be |
| 4015 | 2792 // in a base class? |
| 458 | 2793 |
| 2832 | 2794 boolMatrix |
| 4015 | 2795 Matrix::all (int dim) const |
| 458 | 2796 { |
| 4015 | 2797 MX_ALL_OP (dim); |
| 458 | 2798 } |
| 2799 | |
| 2832 | 2800 boolMatrix |
| 4015 | 2801 Matrix::any (int dim) const |
| 458 | 2802 { |
| 4015 | 2803 MX_ANY_OP (dim); |
| 458 | 2804 } |
| 2805 | |
| 2806 Matrix | |
| 3723 | 2807 Matrix::cumprod (int dim) const |
| 458 | 2808 { |
| 4015 | 2809 MX_CUMULATIVE_OP (Matrix, double, *=); |
| 458 | 2810 } |
| 2811 | |
| 2812 Matrix | |
| 3723 | 2813 Matrix::cumsum (int dim) const |
| 458 | 2814 { |
| 4015 | 2815 MX_CUMULATIVE_OP (Matrix, double, +=); |
| 458 | 2816 } |
| 2817 | |
| 2818 Matrix | |
| 3723 | 2819 Matrix::prod (int dim) const |
| 458 | 2820 { |
| 3864 | 2821 MX_REDUCTION_OP (Matrix, *=, 1.0, 1.0); |
| 458 | 2822 } |
| 2823 | |
| 2824 Matrix | |
| 3723 | 2825 Matrix::sum (int dim) const |
| 458 | 2826 { |
| 3864 | 2827 MX_REDUCTION_OP (Matrix, +=, 0.0, 0.0); |
| 458 | 2828 } |
| 2829 | |
| 2830 Matrix | |
| 3723 | 2831 Matrix::sumsq (int dim) const |
| 458 | 2832 { |
| 3864 | 2833 #define ROW_EXPR \ |
| 2834 double d = elem (i, j); \ | |
| 2835 retval.elem (i, 0) += d * d | |
| 2836 | |
| 2837 #define COL_EXPR \ | |
| 2838 double d = elem (i, j); \ | |
| 2839 retval.elem (0, j) += d * d | |
| 2840 | |
| 2841 MX_BASE_REDUCTION_OP (Matrix, ROW_EXPR, COL_EXPR, 0.0, 0.0); | |
| 2842 | |
| 2843 #undef ROW_EXPR | |
| 2844 #undef COL_EXPR | |
| 458 | 2845 } |
| 2846 | |
| 2385 | 2847 Matrix |
| 2848 Matrix::abs (void) const | |
| 2849 { | |
| 5275 | 2850 octave_idx_type nr = rows (); |
| 2851 octave_idx_type nc = cols (); | |
| 2385 | 2852 |
| 2853 Matrix retval (nr, nc); | |
| 2854 | |
| 5275 | 2855 for (octave_idx_type j = 0; j < nc; j++) |
| 2856 for (octave_idx_type i = 0; i < nr; i++) | |
| 2385 | 2857 retval (i, j) = fabs (elem (i, j)); |
| 2858 | |
| 2859 return retval; | |
| 2860 } | |
| 2861 | |
|
7620
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7544
diff
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|
2862 Matrix |
| 5275 | 2863 Matrix::diag (octave_idx_type k) const |
| 458 | 2864 { |
|
7620
36594d5bbe13
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7544
diff
changeset
|
2865 return MArray2<double>::diag (k); |
| 458 | 2866 } |
| 2867 | |
| 2868 ColumnVector | |
| 2869 Matrix::row_min (void) const | |
| 2870 { | |
| 5275 | 2871 Array<octave_idx_type> dummy_idx; |
| 4587 | 2872 return row_min (dummy_idx); |
| 458 | 2873 } |
| 2874 | |
| 2875 ColumnVector | |
| 5275 | 2876 Matrix::row_min (Array<octave_idx_type>& idx_arg) const |
| 458 | 2877 { |
| 2878 ColumnVector result; | |
| 2879 | |
| 5275 | 2880 octave_idx_type nr = rows (); |
| 2881 octave_idx_type nc = cols (); | |
| 458 | 2882 |
| 2883 if (nr > 0 && nc > 0) | |
| 2884 { | |
| 2885 result.resize (nr); | |
| 4587 | 2886 idx_arg.resize (nr); |
| 458 | 2887 |
| 5275 | 2888 for (octave_idx_type i = 0; i < nr; i++) |
| 458 | 2889 { |
| 5275 | 2890 octave_idx_type idx_j; |
| 4469 | 2891 |
| 2892 double tmp_min = octave_NaN; | |
| 2893 | |
| 2894 for (idx_j = 0; idx_j < nc; idx_j++) | |
| 2354 | 2895 { |
| 4469 | 2896 tmp_min = elem (i, idx_j); |
| 2897 | |
| 5389 | 2898 if (! xisnan (tmp_min)) |
| 4469 | 2899 break; |
| 2900 } | |
| 2901 | |
| 5275 | 2902 for (octave_idx_type j = idx_j+1; j < nc; j++) |
| 4469 | 2903 { |
| 2904 double tmp = elem (i, j); | |
| 2905 | |
| 5389 | 2906 if (xisnan (tmp)) |
| 4469 | 2907 continue; |
| 2908 else if (tmp < tmp_min) | |
| 2354 | 2909 { |
| 4469 | 2910 idx_j = j; |
| 2911 tmp_min = tmp; | |
| 2354 | 2912 } |
| 2913 } | |
| 2914 | |
| 4469 | 2915 result.elem (i) = tmp_min; |
| 5389 | 2916 idx_arg.elem (i) = xisnan (tmp_min) ? 0 : idx_j; |
| 458 | 2917 } |
| 2918 } | |
| 2919 | |
| 2920 return result; | |
| 2921 } | |
| 2922 | |
| 2923 ColumnVector | |
| 2924 Matrix::row_max (void) const | |
| 2925 { | |
| 5275 | 2926 Array<octave_idx_type> dummy_idx; |
| 4587 | 2927 return row_max (dummy_idx); |
| 458 | 2928 } |
| 2929 | |
| 2930 ColumnVector | |
| 5275 | 2931 Matrix::row_max (Array<octave_idx_type>& idx_arg) const |
| 458 | 2932 { |
| 2933 ColumnVector result; | |
| 2934 | |
| 5275 | 2935 octave_idx_type nr = rows (); |
| 2936 octave_idx_type nc = cols (); | |
| 458 | 2937 |
| 2938 if (nr > 0 && nc > 0) | |
| 2939 { | |
| 2940 result.resize (nr); | |
| 4587 | 2941 idx_arg.resize (nr); |
| 458 | 2942 |
| 5275 | 2943 for (octave_idx_type i = 0; i < nr; i++) |
| 458 | 2944 { |
| 5275 | 2945 octave_idx_type idx_j; |
| 4469 | 2946 |
| 2947 double tmp_max = octave_NaN; | |
| 2948 | |
| 2949 for (idx_j = 0; idx_j < nc; idx_j++) | |
| 2354 | 2950 { |
| 4469 | 2951 tmp_max = elem (i, idx_j); |
| 2952 | |
| 5389 | 2953 if (! xisnan (tmp_max)) |
| 4469 | 2954 break; |
| 2955 } | |
| 2956 | |
| 5275 | 2957 for (octave_idx_type j = idx_j+1; j < nc; j++) |
| 4469 | 2958 { |
| 2959 double tmp = elem (i, j); | |
| 2960 | |
| 5389 | 2961 if (xisnan (tmp)) |
| 4469 | 2962 continue; |
| 2963 else if (tmp > tmp_max) | |
| 2354 | 2964 { |
| 4469 | 2965 idx_j = j; |
| 2966 tmp_max = tmp; | |
| 2354 | 2967 } |
| 2968 } | |
| 2969 | |
| 4469 | 2970 result.elem (i) = tmp_max; |
| 5389 | 2971 idx_arg.elem (i) = xisnan (tmp_max) ? 0 : idx_j; |
| 458 | 2972 } |
| 2973 } | |
| 2974 | |
| 2975 return result; | |
| 2976 } | |
| 2977 | |
| 2978 RowVector | |
| 2979 Matrix::column_min (void) const | |
| 2980 { | |
| 5275 | 2981 Array<octave_idx_type> dummy_idx; |
| 4587 | 2982 return column_min (dummy_idx); |
| 458 | 2983 } |
| 2354 | 2984 |
| 458 | 2985 RowVector |
| 5275 | 2986 Matrix::column_min (Array<octave_idx_type>& idx_arg) const |
| 458 | 2987 { |
| 2988 RowVector result; | |
| 2989 | |
| 5275 | 2990 octave_idx_type nr = rows (); |
| 2991 octave_idx_type nc = cols (); | |
| 458 | 2992 |
| 2993 if (nr > 0 && nc > 0) | |
| 2994 { | |
| 2995 result.resize (nc); | |
| 4587 | 2996 idx_arg.resize (nc); |
| 458 | 2997 |
| 5275 | 2998 for (octave_idx_type j = 0; j < nc; j++) |
| 458 | 2999 { |
| 5275 | 3000 octave_idx_type idx_i; |
| 4469 | 3001 |
| 3002 double tmp_min = octave_NaN; | |
| 3003 | |
| 3004 for (idx_i = 0; idx_i < nr; idx_i++) | |
| 2354 | 3005 { |
| 4469 | 3006 tmp_min = elem (idx_i, j); |
| 3007 | |
| 5389 | 3008 if (! xisnan (tmp_min)) |
| 4469 | 3009 break; |
| 3010 } | |
| 3011 | |
| 5275 | 3012 for (octave_idx_type i = idx_i+1; i < nr; i++) |
| 4469 | 3013 { |
| 3014 double tmp = elem (i, j); | |
| 3015 | |
| 5389 | 3016 if (xisnan (tmp)) |
| 4469 | 3017 continue; |
| 3018 else if (tmp < tmp_min) | |
| 2354 | 3019 { |
| 4469 | 3020 idx_i = i; |
| 3021 tmp_min = tmp; | |
| 2354 | 3022 } |
| 3023 } | |
| 3024 | |
| 4469 | 3025 result.elem (j) = tmp_min; |
| 5389 | 3026 idx_arg.elem (j) = xisnan (tmp_min) ? 0 : idx_i; |
| 458 | 3027 } |
| 3028 } | |
| 3029 | |
| 3030 return result; | |
| 3031 } | |
| 3032 | |
| 2354 | 3033 RowVector |
| 3034 Matrix::column_max (void) const | |
| 3035 { | |
| 5275 | 3036 Array<octave_idx_type> dummy_idx; |
| 4587 | 3037 return column_max (dummy_idx); |
| 2354 | 3038 } |
| 458 | 3039 |
| 3040 RowVector | |
| 5275 | 3041 Matrix::column_max (Array<octave_idx_type>& idx_arg) const |
| 458 | 3042 { |
| 3043 RowVector result; | |
| 3044 | |
| 5275 | 3045 octave_idx_type nr = rows (); |
| 3046 octave_idx_type nc = cols (); | |
| 458 | 3047 |
| 3048 if (nr > 0 && nc > 0) | |
| 3049 { | |
| 3050 result.resize (nc); | |
| 4587 | 3051 idx_arg.resize (nc); |
| 458 | 3052 |
| 5275 | 3053 for (octave_idx_type j = 0; j < nc; j++) |
| 458 | 3054 { |
| 5275 | 3055 octave_idx_type idx_i; |
| 4469 | 3056 |
| 3057 double tmp_max = octave_NaN; | |
| 3058 | |
| 3059 for (idx_i = 0; idx_i < nr; idx_i++) | |
| 2354 | 3060 { |
| 4469 | 3061 tmp_max = elem (idx_i, j); |
| 3062 | |
| 5389 | 3063 if (! xisnan (tmp_max)) |
| 4469 | 3064 break; |
| 3065 } | |
| 3066 | |
| 5275 | 3067 for (octave_idx_type i = idx_i+1; i < nr; i++) |
| 4469 | 3068 { |
| 3069 double tmp = elem (i, j); | |
| 3070 | |
| 5389 | 3071 if (xisnan (tmp)) |
| 4469 | 3072 continue; |
| 3073 else if (tmp > tmp_max) | |
| 2354 | 3074 { |
| 4469 | 3075 idx_i = i; |
| 3076 tmp_max = tmp; | |
| 2354 | 3077 } |
| 3078 } | |
| 3079 | |
| 4469 | 3080 result.elem (j) = tmp_max; |
| 5389 | 3081 idx_arg.elem (j) = xisnan (tmp_max) ? 0 : idx_i; |
| 458 | 3082 } |
| 3083 } | |
| 3084 | |
| 3085 return result; | |
| 3086 } | |
| 3087 | |
| 3504 | 3088 std::ostream& |
| 3089 operator << (std::ostream& os, const Matrix& a) | |
| 458 | 3090 { |
| 5275 | 3091 for (octave_idx_type i = 0; i < a.rows (); i++) |
| 458 | 3092 { |
| 5275 | 3093 for (octave_idx_type j = 0; j < a.cols (); j++) |
| 4130 | 3094 { |
| 3095 os << " "; | |
| 3096 octave_write_double (os, a.elem (i, j)); | |
| 3097 } | |
| 458 | 3098 os << "\n"; |
| 3099 } | |
| 3100 return os; | |
| 3101 } | |
| 3102 | |
| 3504 | 3103 std::istream& |
| 3104 operator >> (std::istream& is, Matrix& a) | |
| 458 | 3105 { |
| 5275 | 3106 octave_idx_type nr = a.rows (); |
| 3107 octave_idx_type nc = a.cols (); | |
| 458 | 3108 |
| 3109 if (nr < 1 || nc < 1) | |
| 3504 | 3110 is.clear (std::ios::badbit); |
| 458 | 3111 else |
| 3112 { | |
| 3113 double tmp; | |
| 5275 | 3114 for (octave_idx_type i = 0; i < nr; i++) |
| 3115 for (octave_idx_type j = 0; j < nc; j++) | |
| 458 | 3116 { |
| 4130 | 3117 tmp = octave_read_double (is); |
| 458 | 3118 if (is) |
| 3119 a.elem (i, j) = tmp; | |
| 3120 else | |
| 2795 | 3121 goto done; |
| 458 | 3122 } |
| 3123 } | |
| 3124 | |
| 2795 | 3125 done: |
| 3126 | |
| 458 | 3127 return is; |
| 3128 } | |
| 3129 | |
| 1819 | 3130 Matrix |
| 3131 Givens (double x, double y) | |
| 3132 { | |
| 3133 double cc, s, temp_r; | |
| 3134 | |
| 3887 | 3135 F77_FUNC (dlartg, DLARTG) (x, y, cc, s, temp_r); |
| 1819 | 3136 |
| 3137 Matrix g (2, 2); | |
| 3138 | |
| 3139 g.elem (0, 0) = cc; | |
| 3140 g.elem (1, 1) = cc; | |
| 3141 g.elem (0, 1) = s; | |
| 3142 g.elem (1, 0) = -s; | |
| 3143 | |
| 3144 return g; | |
| 3145 } | |
| 3146 | |
| 3147 Matrix | |
| 3148 Sylvester (const Matrix& a, const Matrix& b, const Matrix& c) | |
| 3149 { | |
| 3150 Matrix retval; | |
| 3151 | |
| 5775 | 3152 // FIXME -- need to check that a, b, and c are all the same |
| 1819 | 3153 // size. |
| 3154 | |
| 3155 // Compute Schur decompositions. | |
| 3156 | |
| 3157 SCHUR as (a, "U"); | |
| 3158 SCHUR bs (b, "U"); | |
| 3159 | |
| 3160 // Transform c to new coordinates. | |
| 3161 | |
| 3162 Matrix ua = as.unitary_matrix (); | |
| 3163 Matrix sch_a = as.schur_matrix (); | |
| 3164 | |
| 3165 Matrix ub = bs.unitary_matrix (); | |
| 3166 Matrix sch_b = bs.schur_matrix (); | |
| 3167 | |
| 3168 Matrix cx = ua.transpose () * c * ub; | |
| 3169 | |
| 3170 // Solve the sylvester equation, back-transform, and return the | |
| 3171 // solution. | |
| 3172 | |
| 5275 | 3173 octave_idx_type a_nr = a.rows (); |
| 3174 octave_idx_type b_nr = b.rows (); | |
| 1819 | 3175 |
| 3176 double scale; | |
| 5275 | 3177 octave_idx_type info; |
| 1819 | 3178 |
| 1950 | 3179 double *pa = sch_a.fortran_vec (); |
| 3180 double *pb = sch_b.fortran_vec (); | |
| 3181 double *px = cx.fortran_vec (); | |
| 3182 | |
| 4552 | 3183 F77_XFCN (dtrsyl, DTRSYL, (F77_CONST_CHAR_ARG2 ("N", 1), |
| 3184 F77_CONST_CHAR_ARG2 ("N", 1), | |
| 3185 1, a_nr, b_nr, pa, a_nr, pb, | |
| 3186 b_nr, px, a_nr, scale, info | |
| 3187 F77_CHAR_ARG_LEN (1) | |
| 3188 F77_CHAR_ARG_LEN (1))); | |
| 1950 | 3189 |
| 3190 | |
|
7482
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
3191 // FIXME -- check info? |
| 1819 | 3192 |
|
7482
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
3193 retval = -ua*cx*ub.transpose (); |
| 1819 | 3194 |
| 3195 return retval; | |
| 3196 } | |
| 3197 | |
| 2828 | 3198 // matrix by matrix -> matrix operations |
| 3199 | |
| 6162 | 3200 /* Simple Dot Product, Matrix-Vector and Matrix-Matrix Unit tests |
| 3201 %!assert([1 2 3] * [ 4 ; 5 ; 6], 32, 1e-14) | |
| 3202 %!assert([1 2 ; 3 4 ] * [5 ; 6], [17 ; 39 ], 1e-14) | |
| 3203 %!assert([1 2 ; 3 4 ] * [5 6 ; 7 8], [19 22; 43 50], 1e-14) | |
| 3204 */ | |
| 3205 | |
| 3206 /* Test some simple identities | |
| 3207 %!shared M, cv, rv | |
| 3208 %! M = randn(10,10); | |
| 3209 %! cv = randn(10,1); | |
| 3210 %! rv = randn(1,10); | |
| 3211 %!assert([M*cv,M*cv],M*[cv,cv],1e-14) | |
| 3212 %!assert([rv*M;rv*M],[rv;rv]*M,1e-14) | |
| 3213 %!assert(2*rv*cv,[rv,rv]*[cv;cv],1e-14) | |
| 3214 */ | |
| 3215 | |
|
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
|
3216 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
|
3217 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
|
3218 { |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3219 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
|
3220 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
|
3221 } |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3222 |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3223 // 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
|
3224 |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3225 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
|
3226 xgemm (bool transa, const Matrix& a, bool transb, const Matrix& b) |
| 2828 | 3227 { |
| 3228 Matrix retval; | |
| 3229 | |
|
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
|
3230 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
|
3231 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
|
3232 |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3233 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
|
3234 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
|
3235 |
|
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 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
|
3237 gripe_nonconformant ("operator *", a_nr, a_nc, b_nr, b_nc); |
| 2828 | 3238 else |
| 3239 { | |
|
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
|
3240 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
|
3241 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
|
3242 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
|
3243 { |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3244 octave_idx_type lda = a.rows (); |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3245 |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3246 retval.resize (a_nr, b_nc); |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3247 double *c = retval.fortran_vec (); |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3248 |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3249 const char *ctransa = get_blas_trans_arg (transa); |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3250 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
|
3251 F77_CONST_CHAR_ARG2 (ctransa, 1), |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3252 a_nr, a_nc, 1.0, |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3253 a.data (), lda, 0.0, c, a_nr |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3254 F77_CHAR_ARG_LEN (1) |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3255 F77_CHAR_ARG_LEN (1))); |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3256 for (int j = 0; j < a_nr; j++) |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3257 for (int i = 0; i < j; i++) |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3258 retval.xelem (j,i) = retval.xelem (i,j); |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3259 |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3260 } |
| 2828 | 3261 else |
| 3262 { | |
|
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
|
3263 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
|
3264 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
|
3265 |
|
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 retval.resize (a_nr, b_nc); |
| 2828 | 3267 double *c = retval.fortran_vec (); |
| 3268 | |
|
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
|
3269 if (b_nc == 1) |
| 5983 | 3270 { |
|
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
|
3271 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
|
3272 F77_FUNC (xddot, XDDOT) (a_nc, a.data (), 1, b.data (), 1, *c); |
| 5983 | 3273 else |
| 6390 | 3274 { |
|
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
|
3275 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
|
3276 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
|
3277 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
|
3278 b.data (), 1, 0.0, c, 1 |
| 6390 | 3279 F77_CHAR_ARG_LEN (1))); |
| 3280 } | |
| 5983 | 3281 } |
|
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
|
3282 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
|
3283 { |
|
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 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
|
3285 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
|
3286 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
|
3287 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
|
3288 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
|
3289 } |
| 5983 | 3290 else |
| 6390 | 3291 { |
|
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
|
3292 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
|
3293 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
|
3294 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
|
3295 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
|
3296 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
|
3297 lda, b.data (), ldb, 0.0, c, a_nr |
| 6390 | 3298 F77_CHAR_ARG_LEN (1) |
| 3299 F77_CHAR_ARG_LEN (1))); | |
| 3300 } | |
| 2828 | 3301 } |
| 3302 } | |
| 3303 | |
| 3304 return retval; | |
| 3305 } | |
| 3306 | |
|
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
|
3307 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
|
3308 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
|
3309 { |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3310 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
|
3311 } |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3312 |
| 5775 | 3313 // FIXME -- it would be nice to share code among the min/max |
| 4309 | 3314 // functions below. |
| 3315 | |
| 3316 #define EMPTY_RETURN_CHECK(T) \ | |
| 3317 if (nr == 0 || nc == 0) \ | |
| 3318 return T (nr, nc); | |
| 3319 | |
| 3320 Matrix | |
| 3321 min (double d, const Matrix& m) | |
| 3322 { | |
| 5275 | 3323 octave_idx_type nr = m.rows (); |
| 3324 octave_idx_type nc = m.columns (); | |
| 4309 | 3325 |
| 3326 EMPTY_RETURN_CHECK (Matrix); | |
| 3327 | |
| 3328 Matrix result (nr, nc); | |
| 3329 | |
| 5275 | 3330 for (octave_idx_type j = 0; j < nc; j++) |
| 3331 for (octave_idx_type i = 0; i < nr; i++) | |
| 4309 | 3332 { |
| 3333 OCTAVE_QUIT; | |
| 3334 result (i, j) = xmin (d, m (i, j)); | |
| 3335 } | |
| 3336 | |
| 3337 return result; | |
| 3338 } | |
| 3339 | |
| 3340 Matrix | |
| 3341 min (const Matrix& m, double d) | |
| 3342 { | |
| 5275 | 3343 octave_idx_type nr = m.rows (); |
| 3344 octave_idx_type nc = m.columns (); | |
| 4309 | 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 (m (i, j), d); | |
| 3355 } | |
| 3356 | |
| 3357 return result; | |
| 3358 } | |
| 3359 | |
| 3360 Matrix | |
| 3361 min (const Matrix& a, const Matrix& b) | |
| 3362 { | |
| 5275 | 3363 octave_idx_type nr = a.rows (); |
| 3364 octave_idx_type nc = a.columns (); | |
| 4309 | 3365 |
| 3366 if (nr != b.rows () || nc != b.columns ()) | |
| 3367 { | |
| 3368 (*current_liboctave_error_handler) | |
| 3369 ("two-arg min expecting args of same size"); | |
| 3370 return Matrix (); | |
| 3371 } | |
| 3372 | |
| 3373 EMPTY_RETURN_CHECK (Matrix); | |
| 3374 | |
| 3375 Matrix result (nr, nc); | |
| 3376 | |
| 5275 | 3377 for (octave_idx_type j = 0; j < nc; j++) |
| 3378 for (octave_idx_type i = 0; i < nr; i++) | |
| 4309 | 3379 { |
| 3380 OCTAVE_QUIT; | |
| 3381 result (i, j) = xmin (a (i, j), b (i, j)); | |
| 3382 } | |
| 3383 | |
| 3384 return result; | |
| 3385 } | |
| 3386 | |
| 3387 Matrix | |
| 3388 max (double d, const Matrix& m) | |
| 3389 { | |
| 5275 | 3390 octave_idx_type nr = m.rows (); |
| 3391 octave_idx_type nc = m.columns (); | |
| 4309 | 3392 |
| 3393 EMPTY_RETURN_CHECK (Matrix); | |
| 3394 | |
| 3395 Matrix result (nr, nc); | |
| 3396 | |
| 5275 | 3397 for (octave_idx_type j = 0; j < nc; j++) |
| 3398 for (octave_idx_type i = 0; i < nr; i++) | |
| 4309 | 3399 { |
| 3400 OCTAVE_QUIT; | |
| 3401 result (i, j) = xmax (d, m (i, j)); | |
| 3402 } | |
| 3403 | |
| 3404 return result; | |
| 3405 } | |
| 3406 | |
| 3407 Matrix | |
| 3408 max (const Matrix& m, double d) | |
| 3409 { | |
| 5275 | 3410 octave_idx_type nr = m.rows (); |
| 3411 octave_idx_type nc = m.columns (); | |
| 4309 | 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 (m (i, j), d); | |
| 3422 } | |
| 3423 | |
| 3424 return result; | |
| 3425 } | |
| 3426 | |
| 3427 Matrix | |
| 3428 max (const Matrix& a, const Matrix& b) | |
| 3429 { | |
| 5275 | 3430 octave_idx_type nr = a.rows (); |
| 3431 octave_idx_type nc = a.columns (); | |
| 4309 | 3432 |
| 3433 if (nr != b.rows () || nc != b.columns ()) | |
| 3434 { | |
| 3435 (*current_liboctave_error_handler) | |
| 3436 ("two-arg max expecting args of same size"); | |
| 3437 return Matrix (); | |
| 3438 } | |
| 3439 | |
| 3440 EMPTY_RETURN_CHECK (Matrix); | |
| 3441 | |
| 3442 Matrix result (nr, nc); | |
| 3443 | |
| 5275 | 3444 for (octave_idx_type j = 0; j < nc; j++) |
| 3445 for (octave_idx_type i = 0; i < nr; i++) | |
| 4309 | 3446 { |
| 3447 OCTAVE_QUIT; | |
| 3448 result (i, j) = xmax (a (i, j), b (i, j)); | |
| 3449 } | |
| 3450 | |
| 3451 return result; | |
| 3452 } | |
| 3453 | |
| 2870 | 3454 MS_CMP_OPS(Matrix, , double, ) |
| 3504 | 3455 MS_BOOL_OPS(Matrix, double, 0.0) |
| 2870 | 3456 |
| 3457 SM_CMP_OPS(double, , Matrix, ) | |
| 3504 | 3458 SM_BOOL_OPS(double, Matrix, 0.0) |
| 2870 | 3459 |
| 3460 MM_CMP_OPS(Matrix, , Matrix, ) | |
| 3504 | 3461 MM_BOOL_OPS(Matrix, Matrix, 0.0) |
| 2870 | 3462 |
| 458 | 3463 /* |
| 3464 ;;; Local Variables: *** | |
| 3465 ;;; mode: C++ *** | |
| 3466 ;;; End: *** | |
| 3467 */ |