Mercurial > octave-nkf
annotate liboctave/dMatrix.cc @ 9812:f80c566bc751
improve unary mapper system
| author | Jaroslav Hajek <highegg@gmail.com> |
|---|---|
| date | Thu, 12 Nov 2009 15:47:58 +0100 |
| parents | 1dba57e9d08d |
| children | 829e69ec3110 |
| rev | line source |
|---|---|
| 1993 | 1 // Matrix manipulations. |
| 458 | 2 /* |
| 3 | |
| 7017 | 4 Copyright (C) 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002, |
| 8920 | 5 2003, 2004, 2005, 2006, 2007, 2009 John W. Eaton |
| 7803 | 6 Copyright (C) 2008 Jaroslav Hajek |
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7 Copyright (C) 2009 VZLU Prague, a.s. |
| 458 | 8 |
| 9 This file is part of Octave. | |
| 10 | |
| 11 Octave is free software; you can redistribute it and/or modify it | |
| 12 under the terms of the GNU General Public License as published by the | |
| 7016 | 13 Free Software Foundation; either version 3 of the License, or (at your |
| 14 option) any later version. | |
| 458 | 15 |
| 16 Octave is distributed in the hope that it will be useful, but WITHOUT | |
| 17 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or | |
| 18 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License | |
| 19 for more details. | |
| 20 | |
| 21 You should have received a copy of the GNU General Public License | |
| 7016 | 22 along with Octave; see the file COPYING. If not, see |
| 23 <http://www.gnu.org/licenses/>. | |
| 458 | 24 |
| 25 */ | |
| 26 | |
| 27 #ifdef HAVE_CONFIG_H | |
| 1192 | 28 #include <config.h> |
| 458 | 29 #endif |
| 30 | |
| 1367 | 31 #include <cfloat> |
| 32 | |
| 3503 | 33 #include <iostream> |
| 6209 | 34 #include <vector> |
| 1367 | 35 |
| 4669 | 36 #include "Array-util.h" |
| 2317 | 37 #include "byte-swap.h" |
| 2828 | 38 #include "dMatrix.h" |
| 1819 | 39 #include "dbleAEPBAL.h" |
| 8335 | 40 #include "DET.h" |
| 1819 | 41 #include "dbleSCHUR.h" |
| 740 | 42 #include "dbleSVD.h" |
| 6207 | 43 #include "dbleCHOL.h" |
| 1847 | 44 #include "f77-fcn.h" |
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45 #include "functor.h" |
| 458 | 46 #include "lo-error.h" |
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47 #include "oct-locbuf.h" |
| 2354 | 48 #include "lo-ieee.h" |
| 49 #include "lo-mappers.h" | |
| 1968 | 50 #include "lo-utils.h" |
| 1367 | 51 #include "mx-base.h" |
| 2828 | 52 #include "mx-m-dm.h" |
| 3176 | 53 #include "mx-dm-m.h" |
| 1367 | 54 #include "mx-inlines.cc" |
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55 #include "mx-op-defs.h" |
| 1650 | 56 #include "oct-cmplx.h" |
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57 #include "oct-fftw.h" |
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58 #include "oct-norm.h" |
| 4153 | 59 #include "quit.h" |
| 458 | 60 |
| 61 // Fortran functions we call. | |
| 62 | |
| 63 extern "C" | |
| 64 { | |
| 7478 | 65 F77_RET_T |
| 7477 | 66 F77_FUNC (xilaenv, XILAENV) (const octave_idx_type&, F77_CONST_CHAR_ARG_DECL, |
| 67 F77_CONST_CHAR_ARG_DECL, | |
| 68 const octave_idx_type&, const octave_idx_type&, | |
| 7478 | 69 const octave_idx_type&, const octave_idx_type&, |
| 70 octave_idx_type& | |
| 71 F77_CHAR_ARG_LEN_DECL F77_CHAR_ARG_LEN_DECL); | |
| 7476 | 72 |
| 4552 | 73 F77_RET_T |
| 74 F77_FUNC (dgebal, DGEBAL) (F77_CONST_CHAR_ARG_DECL, | |
| 5275 | 75 const octave_idx_type&, double*, const octave_idx_type&, octave_idx_type&, |
| 76 octave_idx_type&, double*, octave_idx_type& | |
| 4552 | 77 F77_CHAR_ARG_LEN_DECL); |
| 78 | |
| 79 F77_RET_T | |
| 80 F77_FUNC (dgebak, DGEBAK) (F77_CONST_CHAR_ARG_DECL, | |
| 81 F77_CONST_CHAR_ARG_DECL, | |
| 5275 | 82 const octave_idx_type&, const octave_idx_type&, const octave_idx_type&, double*, |
| 83 const octave_idx_type&, double*, const octave_idx_type&, octave_idx_type& | |
| 4552 | 84 F77_CHAR_ARG_LEN_DECL |
| 85 F77_CHAR_ARG_LEN_DECL); | |
| 86 | |
| 87 | |
| 88 F77_RET_T | |
| 89 F77_FUNC (dgemm, DGEMM) (F77_CONST_CHAR_ARG_DECL, | |
| 90 F77_CONST_CHAR_ARG_DECL, | |
| 5275 | 91 const octave_idx_type&, const octave_idx_type&, const octave_idx_type&, |
| 92 const double&, const double*, const octave_idx_type&, | |
| 93 const double*, const octave_idx_type&, const double&, | |
| 94 double*, const octave_idx_type& | |
| 4552 | 95 F77_CHAR_ARG_LEN_DECL |
| 96 F77_CHAR_ARG_LEN_DECL); | |
| 97 | |
| 98 F77_RET_T | |
| 5983 | 99 F77_FUNC (dgemv, DGEMV) (F77_CONST_CHAR_ARG_DECL, |
| 100 const octave_idx_type&, const octave_idx_type&, const double&, | |
| 101 const double*, const octave_idx_type&, const double*, | |
| 102 const octave_idx_type&, const double&, double*, | |
| 103 const octave_idx_type& | |
| 104 F77_CHAR_ARG_LEN_DECL); | |
| 105 | |
| 106 F77_RET_T | |
| 107 F77_FUNC (xddot, XDDOT) (const octave_idx_type&, const double*, const octave_idx_type&, | |
| 108 const double*, const octave_idx_type&, double&); | |
| 109 | |
| 110 F77_RET_T | |
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111 F77_FUNC (dsyrk, DSYRK) (F77_CONST_CHAR_ARG_DECL, |
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112 F77_CONST_CHAR_ARG_DECL, |
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113 const octave_idx_type&, const octave_idx_type&, |
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114 const double&, const double*, const octave_idx_type&, |
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115 const double&, double*, const octave_idx_type& |
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116 F77_CHAR_ARG_LEN_DECL |
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117 F77_CHAR_ARG_LEN_DECL); |
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118 |
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119 F77_RET_T |
| 5275 | 120 F77_FUNC (dgetrf, DGETRF) (const octave_idx_type&, const octave_idx_type&, double*, const octave_idx_type&, |
| 121 octave_idx_type*, octave_idx_type&); | |
| 4329 | 122 |
| 4552 | 123 F77_RET_T |
| 5275 | 124 F77_FUNC (dgetrs, DGETRS) (F77_CONST_CHAR_ARG_DECL, const octave_idx_type&, const octave_idx_type&, |
| 125 const double*, const octave_idx_type&, | |
| 126 const octave_idx_type*, double*, const octave_idx_type&, octave_idx_type& | |
| 4552 | 127 F77_CHAR_ARG_LEN_DECL); |
| 128 | |
| 129 F77_RET_T | |
| 5275 | 130 F77_FUNC (dgetri, DGETRI) (const octave_idx_type&, double*, const octave_idx_type&, const octave_idx_type*, |
| 131 double*, const octave_idx_type&, octave_idx_type&); | |
| 4552 | 132 |
| 133 F77_RET_T | |
| 5275 | 134 F77_FUNC (dgecon, DGECON) (F77_CONST_CHAR_ARG_DECL, const octave_idx_type&, double*, |
| 135 const octave_idx_type&, const double&, double&, | |
| 136 double*, octave_idx_type*, octave_idx_type& | |
| 4552 | 137 F77_CHAR_ARG_LEN_DECL); |
| 138 | |
| 139 F77_RET_T | |
| 7072 | 140 F77_FUNC (dgelsy, DGELSY) (const octave_idx_type&, const octave_idx_type&, const octave_idx_type&, |
| 141 double*, const octave_idx_type&, double*, | |
| 142 const octave_idx_type&, octave_idx_type*, double&, octave_idx_type&, | |
| 143 double*, const octave_idx_type&, octave_idx_type&); | |
| 144 | |
| 145 F77_RET_T | |
| 146 F77_FUNC (dgelsd, DGELSD) (const octave_idx_type&, const octave_idx_type&, const octave_idx_type&, | |
| 5275 | 147 double*, const octave_idx_type&, double*, |
| 7071 | 148 const octave_idx_type&, double*, double&, octave_idx_type&, |
| 7072 | 149 double*, const octave_idx_type&, octave_idx_type*, |
| 150 octave_idx_type&); | |
| 458 | 151 |
| 5785 | 152 F77_RET_T |
| 153 F77_FUNC (dpotrf, DPOTRF) (F77_CONST_CHAR_ARG_DECL, const octave_idx_type&, | |
| 154 double *, const octave_idx_type&, | |
| 155 octave_idx_type& F77_CHAR_ARG_LEN_DECL); | |
| 156 | |
| 157 F77_RET_T | |
| 158 F77_FUNC (dpocon, DPOCON) (F77_CONST_CHAR_ARG_DECL, const octave_idx_type&, | |
| 159 double*, const octave_idx_type&, const double&, | |
| 160 double&, double*, octave_idx_type*, | |
| 161 octave_idx_type& F77_CHAR_ARG_LEN_DECL); | |
| 162 F77_RET_T | |
| 163 F77_FUNC (dpotrs, DPOTRS) (F77_CONST_CHAR_ARG_DECL, const octave_idx_type&, | |
| 164 const octave_idx_type&, const double*, | |
| 165 const octave_idx_type&, double*, | |
| 166 const octave_idx_type&, octave_idx_type& | |
| 167 F77_CHAR_ARG_LEN_DECL); | |
| 168 | |
| 169 F77_RET_T | |
| 6207 | 170 F77_FUNC (dtrtri, DTRTRI) (F77_CONST_CHAR_ARG_DECL, F77_CONST_CHAR_ARG_DECL, |
| 171 const octave_idx_type&, const double*, | |
| 172 const octave_idx_type&, octave_idx_type& | |
| 173 F77_CHAR_ARG_LEN_DECL | |
| 174 F77_CHAR_ARG_LEN_DECL); | |
| 175 F77_RET_T | |
| 5785 | 176 F77_FUNC (dtrcon, DTRCON) (F77_CONST_CHAR_ARG_DECL, F77_CONST_CHAR_ARG_DECL, |
| 177 F77_CONST_CHAR_ARG_DECL, const octave_idx_type&, | |
| 178 const double*, const octave_idx_type&, double&, | |
| 179 double*, octave_idx_type*, octave_idx_type& | |
| 180 F77_CHAR_ARG_LEN_DECL | |
| 181 F77_CHAR_ARG_LEN_DECL | |
| 182 F77_CHAR_ARG_LEN_DECL); | |
| 183 F77_RET_T | |
| 184 F77_FUNC (dtrtrs, DTRTRS) (F77_CONST_CHAR_ARG_DECL, F77_CONST_CHAR_ARG_DECL, | |
| 185 F77_CONST_CHAR_ARG_DECL, const octave_idx_type&, | |
| 186 const octave_idx_type&, const double*, | |
| 187 const octave_idx_type&, double*, | |
| 188 const octave_idx_type&, octave_idx_type& | |
| 189 F77_CHAR_ARG_LEN_DECL | |
| 190 F77_CHAR_ARG_LEN_DECL | |
| 191 F77_CHAR_ARG_LEN_DECL); | |
| 192 | |
| 4552 | 193 F77_RET_T |
| 194 F77_FUNC (dlartg, DLARTG) (const double&, const double&, double&, | |
| 195 double&, double&); | |
| 196 | |
| 197 F77_RET_T | |
| 198 F77_FUNC (dtrsyl, DTRSYL) (F77_CONST_CHAR_ARG_DECL, | |
| 199 F77_CONST_CHAR_ARG_DECL, | |
| 5275 | 200 const octave_idx_type&, const octave_idx_type&, const octave_idx_type&, |
| 201 const double*, const octave_idx_type&, const double*, | |
| 202 const octave_idx_type&, const double*, const octave_idx_type&, | |
| 203 double&, octave_idx_type& | |
| 4552 | 204 F77_CHAR_ARG_LEN_DECL |
| 205 F77_CHAR_ARG_LEN_DECL); | |
| 206 | |
| 207 F77_RET_T | |
| 5275 | 208 F77_FUNC (xdlange, XDLANGE) (F77_CONST_CHAR_ARG_DECL, const octave_idx_type&, |
| 209 const octave_idx_type&, const double*, | |
| 210 const octave_idx_type&, double*, double& | |
| 4552 | 211 F77_CHAR_ARG_LEN_DECL); |
| 458 | 212 } |
| 213 | |
| 1360 | 214 // Matrix class. |
| 458 | 215 |
| 2349 | 216 Matrix::Matrix (const RowVector& rv) |
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217 : MArray2<double> (Array2<double> (rv, 1, rv.length ())) |
| 2349 | 218 { |
| 219 } | |
| 220 | |
| 221 Matrix::Matrix (const ColumnVector& cv) | |
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222 : MArray2<double> (Array2<double> (cv, cv.length (), 1)) |
| 2349 | 223 { |
| 224 } | |
| 225 | |
| 458 | 226 Matrix::Matrix (const DiagMatrix& a) |
| 1214 | 227 : MArray2<double> (a.rows (), a.cols (), 0.0) |
| 458 | 228 { |
| 5275 | 229 for (octave_idx_type i = 0; i < a.length (); i++) |
| 458 | 230 elem (i, i) = a.elem (i, i); |
| 231 } | |
| 232 | |
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233 Matrix::Matrix (const PermMatrix& a) |
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234 : MArray2<double> (a.rows (), a.cols (), 0.0) |
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235 { |
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236 const Array<octave_idx_type> ia (a.pvec ()); |
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237 octave_idx_type len = a.rows (); |
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238 if (a.is_col_perm ()) |
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239 for (octave_idx_type i = 0; i < len; i++) |
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240 elem (ia(i), i) = 1.0; |
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241 else |
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242 for (octave_idx_type i = 0; i < len; i++) |
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243 elem (i, ia(i)) = 1.0; |
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244 } |
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245 |
| 5775 | 246 // FIXME -- could we use a templated mixed-type copy function |
| 1574 | 247 // here? |
| 248 | |
| 2828 | 249 Matrix::Matrix (const boolMatrix& a) |
| 250 : MArray2<double> (a.rows (), a.cols ()) | |
| 251 { | |
| 5275 | 252 for (octave_idx_type i = 0; i < a.rows (); i++) |
| 253 for (octave_idx_type j = 0; j < a.cols (); j++) | |
| 2828 | 254 elem (i, j) = a.elem (i, j); |
| 255 } | |
| 256 | |
| 1574 | 257 Matrix::Matrix (const charMatrix& a) |
| 258 : MArray2<double> (a.rows (), a.cols ()) | |
| 259 { | |
| 5275 | 260 for (octave_idx_type i = 0; i < a.rows (); i++) |
| 261 for (octave_idx_type j = 0; j < a.cols (); j++) | |
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262 elem (i, j) = static_cast<unsigned char> (a.elem (i, j)); |
| 1574 | 263 } |
| 264 | |
| 2385 | 265 bool |
| 458 | 266 Matrix::operator == (const Matrix& a) const |
| 267 { | |
| 268 if (rows () != a.rows () || cols () != a.cols ()) | |
| 2385 | 269 return false; |
| 458 | 270 |
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271 return mx_inline_equal (length (), data (), a.data ()); |
| 458 | 272 } |
| 273 | |
| 2385 | 274 bool |
| 458 | 275 Matrix::operator != (const Matrix& a) const |
| 276 { | |
| 277 return !(*this == a); | |
| 278 } | |
| 279 | |
| 3354 | 280 bool |
| 281 Matrix::is_symmetric (void) const | |
| 282 { | |
| 283 if (is_square () && rows () > 0) | |
| 284 { | |
| 5275 | 285 for (octave_idx_type i = 0; i < rows (); i++) |
| 286 for (octave_idx_type j = i+1; j < cols (); j++) | |
| 3354 | 287 if (elem (i, j) != elem (j, i)) |
| 288 return false; | |
| 289 | |
| 290 return true; | |
| 291 } | |
| 292 | |
| 293 return false; | |
| 294 } | |
| 295 | |
| 458 | 296 Matrix& |
| 5275 | 297 Matrix::insert (const Matrix& a, octave_idx_type r, octave_idx_type c) |
| 458 | 298 { |
| 1561 | 299 Array2<double>::insert (a, r, c); |
| 458 | 300 return *this; |
| 301 } | |
| 302 | |
| 303 Matrix& | |
| 5275 | 304 Matrix::insert (const RowVector& a, octave_idx_type r, octave_idx_type c) |
| 458 | 305 { |
| 5275 | 306 octave_idx_type a_len = a.length (); |
| 4316 | 307 |
| 1698 | 308 if (r < 0 || r >= rows () || c < 0 || c + a_len > cols ()) |
| 458 | 309 { |
| 310 (*current_liboctave_error_handler) ("range error for insert"); | |
| 311 return *this; | |
| 312 } | |
| 313 | |
| 4316 | 314 if (a_len > 0) |
| 315 { | |
| 316 make_unique (); | |
| 317 | |
| 5275 | 318 for (octave_idx_type i = 0; i < a_len; i++) |
| 4316 | 319 xelem (r, c+i) = a.elem (i); |
| 320 } | |
| 458 | 321 |
| 322 return *this; | |
| 323 } | |
| 324 | |
| 325 Matrix& | |
| 5275 | 326 Matrix::insert (const ColumnVector& a, octave_idx_type r, octave_idx_type c) |
| 458 | 327 { |
| 5275 | 328 octave_idx_type a_len = a.length (); |
| 4316 | 329 |
| 1698 | 330 if (r < 0 || r + a_len > rows () || c < 0 || c >= cols ()) |
| 458 | 331 { |
| 332 (*current_liboctave_error_handler) ("range error for insert"); | |
| 333 return *this; | |
| 334 } | |
| 335 | |
| 4316 | 336 if (a_len > 0) |
| 337 { | |
| 338 make_unique (); | |
| 339 | |
| 5275 | 340 for (octave_idx_type i = 0; i < a_len; i++) |
| 4316 | 341 xelem (r+i, c) = a.elem (i); |
| 342 } | |
| 458 | 343 |
| 344 return *this; | |
| 345 } | |
| 346 | |
| 347 Matrix& | |
| 5275 | 348 Matrix::insert (const DiagMatrix& a, octave_idx_type r, octave_idx_type c) |
| 458 | 349 { |
| 5275 | 350 octave_idx_type a_nr = a.rows (); |
| 351 octave_idx_type a_nc = a.cols (); | |
| 1697 | 352 |
| 1698 | 353 if (r < 0 || r + a_nr > rows () || c < 0 || c + a_nc > cols ()) |
| 458 | 354 { |
| 355 (*current_liboctave_error_handler) ("range error for insert"); | |
| 356 return *this; | |
| 357 } | |
| 358 | |
| 1697 | 359 fill (0.0, r, c, r + a_nr - 1, c + a_nc - 1); |
| 360 | |
| 5275 | 361 octave_idx_type a_len = a.length (); |
| 4316 | 362 |
| 363 if (a_len > 0) | |
| 364 { | |
| 365 make_unique (); | |
| 366 | |
| 5275 | 367 for (octave_idx_type i = 0; i < a_len; i++) |
| 4316 | 368 xelem (r+i, c+i) = a.elem (i, i); |
| 369 } | |
| 458 | 370 |
| 371 return *this; | |
| 372 } | |
| 373 | |
| 374 Matrix& | |
| 375 Matrix::fill (double val) | |
| 376 { | |
| 5275 | 377 octave_idx_type nr = rows (); |
| 378 octave_idx_type nc = cols (); | |
| 4316 | 379 |
| 458 | 380 if (nr > 0 && nc > 0) |
| 4316 | 381 { |
| 382 make_unique (); | |
| 383 | |
| 5275 | 384 for (octave_idx_type j = 0; j < nc; j++) |
| 385 for (octave_idx_type i = 0; i < nr; i++) | |
| 4316 | 386 xelem (i, j) = val; |
| 387 } | |
| 458 | 388 |
| 389 return *this; | |
| 390 } | |
| 391 | |
| 392 Matrix& | |
| 5275 | 393 Matrix::fill (double val, octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2) |
| 458 | 394 { |
| 5275 | 395 octave_idx_type nr = rows (); |
| 396 octave_idx_type nc = cols (); | |
| 4316 | 397 |
| 458 | 398 if (r1 < 0 || r2 < 0 || c1 < 0 || c2 < 0 |
| 399 || r1 >= nr || r2 >= nr || c1 >= nc || c2 >= nc) | |
| 400 { | |
| 401 (*current_liboctave_error_handler) ("range error for fill"); | |
| 402 return *this; | |
| 403 } | |
| 404 | |
| 5275 | 405 if (r1 > r2) { octave_idx_type tmp = r1; r1 = r2; r2 = tmp; } |
| 406 if (c1 > c2) { octave_idx_type tmp = c1; c1 = c2; c2 = tmp; } | |
| 458 | 407 |
| 4316 | 408 if (r2 >= r1 && c2 >= c1) |
| 409 { | |
| 410 make_unique (); | |
| 411 | |
| 5275 | 412 for (octave_idx_type j = c1; j <= c2; j++) |
| 413 for (octave_idx_type i = r1; i <= r2; i++) | |
| 4316 | 414 xelem (i, j) = val; |
| 415 } | |
| 458 | 416 |
| 417 return *this; | |
| 418 } | |
| 419 | |
| 420 Matrix | |
| 421 Matrix::append (const Matrix& a) const | |
| 422 { | |
| 5275 | 423 octave_idx_type nr = rows (); |
| 424 octave_idx_type nc = cols (); | |
| 458 | 425 if (nr != a.rows ()) |
| 426 { | |
| 427 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 428 return Matrix (); | |
| 429 } | |
| 430 | |
| 5275 | 431 octave_idx_type nc_insert = nc; |
| 458 | 432 Matrix retval (nr, nc + a.cols ()); |
| 433 retval.insert (*this, 0, 0); | |
| 434 retval.insert (a, 0, nc_insert); | |
| 435 return retval; | |
| 436 } | |
| 437 | |
| 438 Matrix | |
| 439 Matrix::append (const RowVector& a) const | |
| 440 { | |
| 5275 | 441 octave_idx_type nr = rows (); |
| 442 octave_idx_type nc = cols (); | |
| 458 | 443 if (nr != 1) |
| 444 { | |
| 445 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 446 return Matrix (); | |
| 447 } | |
| 448 | |
| 5275 | 449 octave_idx_type nc_insert = nc; |
| 458 | 450 Matrix retval (nr, nc + a.length ()); |
| 451 retval.insert (*this, 0, 0); | |
| 452 retval.insert (a, 0, nc_insert); | |
| 453 return retval; | |
| 454 } | |
| 455 | |
| 456 Matrix | |
| 457 Matrix::append (const ColumnVector& a) const | |
| 458 { | |
| 5275 | 459 octave_idx_type nr = rows (); |
| 460 octave_idx_type nc = cols (); | |
| 458 | 461 if (nr != a.length ()) |
| 462 { | |
| 463 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 464 return Matrix (); | |
| 465 } | |
| 466 | |
| 5275 | 467 octave_idx_type nc_insert = nc; |
| 458 | 468 Matrix retval (nr, nc + 1); |
| 469 retval.insert (*this, 0, 0); | |
| 470 retval.insert (a, 0, nc_insert); | |
| 471 return retval; | |
| 472 } | |
| 473 | |
| 474 Matrix | |
| 475 Matrix::append (const DiagMatrix& a) const | |
| 476 { | |
| 5275 | 477 octave_idx_type nr = rows (); |
| 478 octave_idx_type nc = cols (); | |
| 458 | 479 if (nr != a.rows ()) |
| 480 { | |
| 481 (*current_liboctave_error_handler) ("row dimension mismatch for append"); | |
| 482 return *this; | |
| 483 } | |
| 484 | |
| 5275 | 485 octave_idx_type nc_insert = nc; |
| 458 | 486 Matrix retval (nr, nc + a.cols ()); |
| 487 retval.insert (*this, 0, 0); | |
| 488 retval.insert (a, 0, nc_insert); | |
| 489 return retval; | |
| 490 } | |
| 491 | |
| 492 Matrix | |
| 493 Matrix::stack (const Matrix& a) const | |
| 494 { | |
| 5275 | 495 octave_idx_type nr = rows (); |
| 496 octave_idx_type nc = cols (); | |
| 458 | 497 if (nc != a.cols ()) |
| 498 { | |
| 499 (*current_liboctave_error_handler) | |
| 500 ("column dimension mismatch for stack"); | |
| 501 return Matrix (); | |
| 502 } | |
| 503 | |
| 5275 | 504 octave_idx_type nr_insert = nr; |
| 458 | 505 Matrix retval (nr + a.rows (), nc); |
| 506 retval.insert (*this, 0, 0); | |
| 507 retval.insert (a, nr_insert, 0); | |
| 508 return retval; | |
| 509 } | |
| 510 | |
| 511 Matrix | |
| 512 Matrix::stack (const RowVector& a) const | |
| 513 { | |
| 5275 | 514 octave_idx_type nr = rows (); |
| 515 octave_idx_type nc = cols (); | |
| 458 | 516 if (nc != a.length ()) |
| 517 { | |
| 518 (*current_liboctave_error_handler) | |
| 519 ("column dimension mismatch for stack"); | |
| 520 return Matrix (); | |
| 521 } | |
| 522 | |
| 5275 | 523 octave_idx_type nr_insert = nr; |
| 458 | 524 Matrix retval (nr + 1, nc); |
| 525 retval.insert (*this, 0, 0); | |
| 526 retval.insert (a, nr_insert, 0); | |
| 527 return retval; | |
| 528 } | |
| 529 | |
| 530 Matrix | |
| 531 Matrix::stack (const ColumnVector& a) const | |
| 532 { | |
| 5275 | 533 octave_idx_type nr = rows (); |
| 534 octave_idx_type nc = cols (); | |
| 458 | 535 if (nc != 1) |
| 536 { | |
| 537 (*current_liboctave_error_handler) | |
| 538 ("column dimension mismatch for stack"); | |
| 539 return Matrix (); | |
| 540 } | |
| 541 | |
| 5275 | 542 octave_idx_type nr_insert = nr; |
| 458 | 543 Matrix retval (nr + a.length (), nc); |
| 544 retval.insert (*this, 0, 0); | |
| 545 retval.insert (a, nr_insert, 0); | |
| 546 return retval; | |
| 547 } | |
| 548 | |
| 549 Matrix | |
| 550 Matrix::stack (const DiagMatrix& a) const | |
| 551 { | |
| 5275 | 552 octave_idx_type nr = rows (); |
| 553 octave_idx_type nc = cols (); | |
| 458 | 554 if (nc != a.cols ()) |
| 555 { | |
| 556 (*current_liboctave_error_handler) | |
| 557 ("column dimension mismatch for stack"); | |
| 558 return Matrix (); | |
| 559 } | |
| 560 | |
| 5275 | 561 octave_idx_type nr_insert = nr; |
| 458 | 562 Matrix retval (nr + a.rows (), nc); |
| 563 retval.insert (*this, 0, 0); | |
| 564 retval.insert (a, nr_insert, 0); | |
| 565 return retval; | |
| 566 } | |
| 567 | |
| 568 Matrix | |
| 1205 | 569 real (const ComplexMatrix& a) |
| 570 { | |
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571 return Matrix (mx_inline_real_dup (a.data (), a.length ()), |
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572 a.rows (), a.cols ()); |
| 1205 | 573 } |
| 574 | |
| 575 Matrix | |
| 576 imag (const ComplexMatrix& a) | |
| 577 { | |
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578 return Matrix (mx_inline_imag_dup (a.data (), a.length ()), |
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579 a.rows (), a.cols ()); |
| 1205 | 580 } |
| 581 | |
| 582 Matrix | |
| 5275 | 583 Matrix::extract (octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2) const |
| 458 | 584 { |
| 5275 | 585 if (r1 > r2) { octave_idx_type tmp = r1; r1 = r2; r2 = tmp; } |
| 586 if (c1 > c2) { octave_idx_type tmp = c1; c1 = c2; c2 = tmp; } | |
| 587 | |
| 588 octave_idx_type new_r = r2 - r1 + 1; | |
| 589 octave_idx_type new_c = c2 - c1 + 1; | |
| 458 | 590 |
| 591 Matrix result (new_r, new_c); | |
| 592 | |
| 5275 | 593 for (octave_idx_type j = 0; j < new_c; j++) |
| 594 for (octave_idx_type i = 0; i < new_r; i++) | |
| 4316 | 595 result.xelem (i, j) = elem (r1+i, c1+j); |
| 596 | |
| 597 return result; | |
| 598 } | |
| 599 | |
| 600 Matrix | |
| 5275 | 601 Matrix::extract_n (octave_idx_type r1, octave_idx_type c1, octave_idx_type nr, octave_idx_type nc) const |
| 4316 | 602 { |
| 603 Matrix result (nr, nc); | |
| 604 | |
| 5275 | 605 for (octave_idx_type j = 0; j < nc; j++) |
| 606 for (octave_idx_type i = 0; i < nr; i++) | |
| 4316 | 607 result.xelem (i, j) = elem (r1+i, c1+j); |
| 458 | 608 |
| 609 return result; | |
| 610 } | |
| 611 | |
| 612 // extract row or column i. | |
| 613 | |
| 614 RowVector | |
| 5275 | 615 Matrix::row (octave_idx_type i) const |
| 458 | 616 { |
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617 return MArray<double> (index (idx_vector (i), idx_vector::colon)); |
| 458 | 618 } |
| 619 | |
| 620 ColumnVector | |
| 5275 | 621 Matrix::column (octave_idx_type i) const |
| 458 | 622 { |
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623 return MArray<double> (index (idx_vector::colon, idx_vector (i))); |
| 458 | 624 } |
| 625 | |
| 626 Matrix | |
| 627 Matrix::inverse (void) const | |
| 628 { | |
| 5275 | 629 octave_idx_type info; |
| 7788 | 630 double rcon; |
| 6207 | 631 MatrixType mattype (*this); |
| 7788 | 632 return inverse (mattype, info, rcon, 0, 0); |
| 6207 | 633 } |
| 634 | |
| 635 Matrix | |
| 6479 | 636 Matrix::inverse (octave_idx_type& info) const |
| 637 { | |
| 7788 | 638 double rcon; |
| 6479 | 639 MatrixType mattype (*this); |
| 7788 | 640 return inverse (mattype, info, rcon, 0, 0); |
| 6479 | 641 } |
| 642 | |
| 643 Matrix | |
| 7788 | 644 Matrix::inverse (octave_idx_type& info, double& rcon, int force, |
| 6479 | 645 int calc_cond) const |
| 646 { | |
| 647 MatrixType mattype (*this); | |
| 7788 | 648 return inverse (mattype, info, rcon, force, calc_cond); |
| 6479 | 649 } |
| 650 | |
| 651 Matrix | |
| 6207 | 652 Matrix::inverse (MatrixType& mattype) const |
| 653 { | |
| 654 octave_idx_type info; | |
| 7788 | 655 double rcon; |
| 656 return inverse (mattype, info, rcon, 0, 0); | |
| 6207 | 657 } |
| 658 | |
| 659 Matrix | |
| 660 Matrix::inverse (MatrixType &mattype, octave_idx_type& info) const | |
| 661 { | |
| 7788 | 662 double rcon; |
| 663 return inverse (mattype, info, rcon, 0, 0); | |
| 458 | 664 } |
| 665 | |
| 666 Matrix | |
| 7788 | 667 Matrix::tinverse (MatrixType &mattype, octave_idx_type& info, double& rcon, |
| 6207 | 668 int force, int calc_cond) const |
| 458 | 669 { |
| 6207 | 670 Matrix retval; |
| 671 | |
| 672 octave_idx_type nr = rows (); | |
| 673 octave_idx_type nc = cols (); | |
| 674 | |
| 675 if (nr != nc || nr == 0 || nc == 0) | |
| 676 (*current_liboctave_error_handler) ("inverse requires square matrix"); | |
| 677 else | |
| 678 { | |
| 679 int typ = mattype.type (); | |
| 680 char uplo = (typ == MatrixType::Lower ? 'L' : 'U'); | |
| 681 char udiag = 'N'; | |
| 682 retval = *this; | |
| 683 double *tmp_data = retval.fortran_vec (); | |
| 684 | |
| 685 F77_XFCN (dtrtri, DTRTRI, (F77_CONST_CHAR_ARG2 (&uplo, 1), | |
| 686 F77_CONST_CHAR_ARG2 (&udiag, 1), | |
| 687 nr, tmp_data, nr, info | |
| 688 F77_CHAR_ARG_LEN (1) | |
| 689 F77_CHAR_ARG_LEN (1))); | |
| 690 | |
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691 // Throw-away extra info LAPACK gives so as to not change output. |
| 7788 | 692 rcon = 0.0; |
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693 if (info != 0) |
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694 info = -1; |
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695 else if (calc_cond) |
| 6207 | 696 { |
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697 octave_idx_type dtrcon_info = 0; |
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698 char job = '1'; |
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699 |
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700 OCTAVE_LOCAL_BUFFER (double, work, 3 * nr); |
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701 OCTAVE_LOCAL_BUFFER (octave_idx_type, iwork, nr); |
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702 |
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703 F77_XFCN (dtrcon, DTRCON, (F77_CONST_CHAR_ARG2 (&job, 1), |
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704 F77_CONST_CHAR_ARG2 (&uplo, 1), |
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705 F77_CONST_CHAR_ARG2 (&udiag, 1), |
| 7788 | 706 nr, tmp_data, nr, rcon, |
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707 work, iwork, dtrcon_info |
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708 F77_CHAR_ARG_LEN (1) |
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709 F77_CHAR_ARG_LEN (1) |
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710 F77_CHAR_ARG_LEN (1))); |
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711 |
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712 if (dtrcon_info != 0) |
| 6207 | 713 info = -1; |
| 714 } | |
| 715 | |
| 716 if (info == -1 && ! force) | |
| 717 retval = *this; // Restore matrix contents. | |
| 718 } | |
| 719 | |
| 720 return retval; | |
| 458 | 721 } |
| 722 | |
| 6207 | 723 |
| 458 | 724 Matrix |
| 7788 | 725 Matrix::finverse (MatrixType &mattype, octave_idx_type& info, double& rcon, |
| 6207 | 726 int force, int calc_cond) const |
| 458 | 727 { |
| 1948 | 728 Matrix retval; |
| 729 | |
| 5275 | 730 octave_idx_type nr = rows (); |
| 731 octave_idx_type nc = cols (); | |
| 1948 | 732 |
| 458 | 733 if (nr != nc || nr == 0 || nc == 0) |
| 1948 | 734 (*current_liboctave_error_handler) ("inverse requires square matrix"); |
| 458 | 735 else |
| 736 { | |
| 5275 | 737 Array<octave_idx_type> ipvt (nr); |
| 738 octave_idx_type *pipvt = ipvt.fortran_vec (); | |
| 1948 | 739 |
| 740 retval = *this; | |
| 741 double *tmp_data = retval.fortran_vec (); | |
| 742 | |
| 4329 | 743 Array<double> z(1); |
| 5275 | 744 octave_idx_type lwork = -1; |
| 4329 | 745 |
| 4330 | 746 // Query the optimum work array size. |
| 4329 | 747 F77_XFCN (dgetri, DGETRI, (nc, tmp_data, nr, pipvt, |
| 748 z.fortran_vec (), lwork, info)); | |
| 749 | |
| 5275 | 750 lwork = static_cast<octave_idx_type> (z(0)); |
| 4329 | 751 lwork = (lwork < 2 *nc ? 2*nc : lwork); |
| 752 z.resize (lwork); | |
| 753 double *pz = z.fortran_vec (); | |
| 754 | |
| 755 info = 0; | |
| 756 | |
| 4330 | 757 // Calculate the norm of the matrix, for later use. |
| 4329 | 758 double anorm = 0; |
| 759 if (calc_cond) | |
| 5275 | 760 anorm = retval.abs().sum().row(static_cast<octave_idx_type>(0)).max(); |
| 4329 | 761 |
| 762 F77_XFCN (dgetrf, DGETRF, (nc, nc, tmp_data, nr, pipvt, info)); | |
| 1948 | 763 |
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764 // Throw-away extra info LAPACK gives so as to not change output. |
| 7788 | 765 rcon = 0.0; |
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766 if (info != 0) |
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767 info = -1; |
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768 else if (calc_cond) |
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769 { |
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770 octave_idx_type dgecon_info = 0; |
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771 |
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772 // Now calculate the condition number for non-singular matrix. |
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773 char job = '1'; |
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774 Array<octave_idx_type> iz (nc); |
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775 octave_idx_type *piz = iz.fortran_vec (); |
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776 F77_XFCN (dgecon, DGECON, (F77_CONST_CHAR_ARG2 (&job, 1), |
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777 nc, tmp_data, nr, anorm, |
| 7788 | 778 rcon, pz, piz, dgecon_info |
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779 F77_CHAR_ARG_LEN (1))); |
|
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780 |
|
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781 if (dgecon_info != 0) |
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782 info = -1; |
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783 } |
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784 |
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785 if (info == -1 && ! force) |
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786 retval = *this; // Restore matrix contents. |
| 1948 | 787 else |
| 788 { | |
|
7482
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789 octave_idx_type dgetri_info = 0; |
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790 |
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791 F77_XFCN (dgetri, DGETRI, (nc, tmp_data, nr, pipvt, |
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792 pz, lwork, dgetri_info)); |
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793 |
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|
794 if (dgetri_info != 0) |
| 1948 | 795 info = -1; |
| 796 } | |
| 6207 | 797 |
| 798 if (info != 0) | |
| 799 mattype.mark_as_rectangular(); | |
| 458 | 800 } |
| 801 | |
| 1948 | 802 return retval; |
| 458 | 803 } |
| 804 | |
| 740 | 805 Matrix |
| 7788 | 806 Matrix::inverse (MatrixType &mattype, octave_idx_type& info, double& rcon, |
| 6207 | 807 int force, int calc_cond) const |
| 808 { | |
| 809 int typ = mattype.type (false); | |
| 810 Matrix ret; | |
| 811 | |
| 812 if (typ == MatrixType::Unknown) | |
| 813 typ = mattype.type (*this); | |
| 814 | |
| 815 if (typ == MatrixType::Upper || typ == MatrixType::Lower) | |
| 7788 | 816 ret = tinverse (mattype, info, rcon, force, calc_cond); |
| 6840 | 817 else |
| 6207 | 818 { |
| 819 if (mattype.is_hermitian ()) | |
| 820 { | |
| 6486 | 821 CHOL chol (*this, info, calc_cond); |
| 6207 | 822 if (info == 0) |
| 6486 | 823 { |
| 824 if (calc_cond) | |
| 7788 | 825 rcon = chol.rcond (); |
| 6486 | 826 else |
| 7788 | 827 rcon = 1.0; |
| 6486 | 828 ret = chol.inverse (); |
| 829 } | |
| 6207 | 830 else |
| 831 mattype.mark_as_unsymmetric (); | |
| 832 } | |
| 833 | |
| 834 if (!mattype.is_hermitian ()) | |
| 7788 | 835 ret = finverse(mattype, info, rcon, force, calc_cond); |
| 836 | |
| 837 if ((mattype.is_hermitian () || calc_cond) && rcon == 0.) | |
| 6840 | 838 ret = Matrix (rows (), columns (), octave_Inf); |
| 6207 | 839 } |
| 840 | |
| 841 return ret; | |
| 842 } | |
| 843 | |
| 844 Matrix | |
| 4384 | 845 Matrix::pseudo_inverse (double tol) const |
| 740 | 846 { |
| 3480 | 847 SVD result (*this, SVD::economy); |
| 740 | 848 |
| 849 DiagMatrix S = result.singular_values (); | |
| 850 Matrix U = result.left_singular_matrix (); | |
| 851 Matrix V = result.right_singular_matrix (); | |
| 852 | |
| 853 ColumnVector sigma = S.diag (); | |
| 854 | |
| 5275 | 855 octave_idx_type r = sigma.length () - 1; |
| 856 octave_idx_type nr = rows (); | |
| 857 octave_idx_type nc = cols (); | |
| 740 | 858 |
| 859 if (tol <= 0.0) | |
| 860 { | |
| 861 if (nr > nc) | |
| 862 tol = nr * sigma.elem (0) * DBL_EPSILON; | |
| 863 else | |
| 864 tol = nc * sigma.elem (0) * DBL_EPSILON; | |
| 865 } | |
| 866 | |
| 867 while (r >= 0 && sigma.elem (r) < tol) | |
| 868 r--; | |
| 869 | |
| 870 if (r < 0) | |
| 871 return Matrix (nc, nr, 0.0); | |
| 872 else | |
| 873 { | |
| 874 Matrix Ur = U.extract (0, 0, nr-1, r); | |
| 875 DiagMatrix D = DiagMatrix (sigma.extract (0, r)) . inverse (); | |
| 876 Matrix Vr = V.extract (0, 0, nc-1, r); | |
| 877 return Vr * D * Ur.transpose (); | |
| 878 } | |
| 879 } | |
| 880 | |
|
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881 #if defined (HAVE_FFTW) |
| 3827 | 882 |
| 883 ComplexMatrix | |
| 884 Matrix::fourier (void) const | |
| 885 { | |
| 886 size_t nr = rows (); | |
| 887 size_t nc = cols (); | |
| 888 | |
| 889 ComplexMatrix retval (nr, nc); | |
| 890 | |
| 891 size_t npts, nsamples; | |
| 892 | |
| 893 if (nr == 1 || nc == 1) | |
| 894 { | |
| 895 npts = nr > nc ? nr : nc; | |
| 896 nsamples = 1; | |
| 897 } | |
| 898 else | |
| 899 { | |
| 900 npts = nr; | |
| 901 nsamples = nc; | |
| 902 } | |
| 903 | |
| 4773 | 904 const double *in (fortran_vec ()); |
| 3827 | 905 Complex *out (retval.fortran_vec ()); |
| 906 | |
| 4773 | 907 octave_fftw::fft (in, out, npts, nsamples); |
| 3827 | 908 |
| 909 return retval; | |
| 910 } | |
| 911 | |
| 912 ComplexMatrix | |
| 913 Matrix::ifourier (void) const | |
| 914 { | |
| 915 size_t nr = rows (); | |
| 916 size_t nc = cols (); | |
| 917 | |
| 918 ComplexMatrix retval (nr, nc); | |
| 919 | |
| 920 size_t npts, nsamples; | |
| 921 | |
| 922 if (nr == 1 || nc == 1) | |
| 923 { | |
| 924 npts = nr > nc ? nr : nc; | |
| 925 nsamples = 1; | |
| 926 } | |
| 927 else | |
| 928 { | |
| 929 npts = nr; | |
| 930 nsamples = nc; | |
| 931 } | |
| 932 | |
| 933 ComplexMatrix tmp (*this); | |
| 934 Complex *in (tmp.fortran_vec ()); | |
| 935 Complex *out (retval.fortran_vec ()); | |
| 936 | |
| 4773 | 937 octave_fftw::ifft (in, out, npts, nsamples); |
| 3827 | 938 |
| 939 return retval; | |
| 940 } | |
| 941 | |
| 942 ComplexMatrix | |
| 943 Matrix::fourier2d (void) const | |
| 944 { | |
| 4773 | 945 dim_vector dv(rows (), cols ()); |
| 946 | |
| 947 const double *in = fortran_vec (); | |
| 948 ComplexMatrix retval (rows (), cols ()); | |
| 949 octave_fftw::fftNd (in, retval.fortran_vec (), 2, dv); | |
| 3827 | 950 |
| 951 return retval; | |
| 952 } | |
| 953 | |
| 954 ComplexMatrix | |
| 955 Matrix::ifourier2d (void) const | |
| 956 { | |
| 4773 | 957 dim_vector dv(rows (), cols ()); |
| 3827 | 958 |
| 959 ComplexMatrix retval (*this); | |
| 4773 | 960 Complex *out (retval.fortran_vec ()); |
| 961 | |
| 962 octave_fftw::ifftNd (out, out, 2, dv); | |
| 3827 | 963 |
| 964 return retval; | |
| 965 } | |
| 966 | |
| 967 #else | |
| 968 | |
|
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969 extern "C" |
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970 { |
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971 // Note that the original complex fft routines were not written for |
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972 // double complex arguments. They have been modified by adding an |
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973 // implicit double precision (a-h,o-z) statement at the beginning of |
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974 // each subroutine. |
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975 |
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976 F77_RET_T |
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977 F77_FUNC (zffti, ZFFTI) (const octave_idx_type&, Complex*); |
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978 |
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979 F77_RET_T |
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980 F77_FUNC (zfftf, ZFFTF) (const octave_idx_type&, Complex*, Complex*); |
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981 |
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982 F77_RET_T |
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983 F77_FUNC (zfftb, ZFFTB) (const octave_idx_type&, Complex*, Complex*); |
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984 } |
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985 |
| 458 | 986 ComplexMatrix |
| 987 Matrix::fourier (void) const | |
| 988 { | |
| 1948 | 989 ComplexMatrix retval; |
| 990 | |
| 5275 | 991 octave_idx_type nr = rows (); |
| 992 octave_idx_type nc = cols (); | |
| 993 | |
| 994 octave_idx_type npts, nsamples; | |
| 1948 | 995 |
| 458 | 996 if (nr == 1 || nc == 1) |
| 997 { | |
| 998 npts = nr > nc ? nr : nc; | |
| 999 nsamples = 1; | |
| 1000 } | |
| 1001 else | |
| 1002 { | |
| 1003 npts = nr; | |
| 1004 nsamples = nc; | |
| 1005 } | |
| 1006 | |
| 5275 | 1007 octave_idx_type nn = 4*npts+15; |
| 1948 | 1008 |
| 1009 Array<Complex> wsave (nn); | |
| 1010 Complex *pwsave = wsave.fortran_vec (); | |
| 1011 | |
| 3585 | 1012 retval = ComplexMatrix (*this); |
| 1948 | 1013 Complex *tmp_data = retval.fortran_vec (); |
| 1014 | |
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1015 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
| 458 | 1016 |
| 5275 | 1017 for (octave_idx_type j = 0; j < nsamples; j++) |
| 4153 | 1018 { |
| 1019 OCTAVE_QUIT; | |
| 1020 | |
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1021 F77_FUNC (zfftf, ZFFTF) (npts, &tmp_data[npts*j], pwsave); |
| 4153 | 1022 } |
| 1948 | 1023 |
| 1024 return retval; | |
| 458 | 1025 } |
| 1026 | |
| 1027 ComplexMatrix | |
| 1028 Matrix::ifourier (void) const | |
| 1029 { | |
| 1948 | 1030 ComplexMatrix retval; |
| 1031 | |
| 5275 | 1032 octave_idx_type nr = rows (); |
| 1033 octave_idx_type nc = cols (); | |
| 1034 | |
| 1035 octave_idx_type npts, nsamples; | |
| 1948 | 1036 |
| 458 | 1037 if (nr == 1 || nc == 1) |
| 1038 { | |
| 1039 npts = nr > nc ? nr : nc; | |
| 1040 nsamples = 1; | |
| 1041 } | |
| 1042 else | |
| 1043 { | |
| 1044 npts = nr; | |
| 1045 nsamples = nc; | |
| 1046 } | |
| 1047 | |
| 5275 | 1048 octave_idx_type nn = 4*npts+15; |
| 1948 | 1049 |
| 1050 Array<Complex> wsave (nn); | |
| 1051 Complex *pwsave = wsave.fortran_vec (); | |
| 1052 | |
| 3585 | 1053 retval = ComplexMatrix (*this); |
| 1948 | 1054 Complex *tmp_data = retval.fortran_vec (); |
| 1055 | |
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1056 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
| 458 | 1057 |
| 5275 | 1058 for (octave_idx_type j = 0; j < nsamples; j++) |
| 4153 | 1059 { |
| 1060 OCTAVE_QUIT; | |
| 1061 | |
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1062 F77_FUNC (zfftb, ZFFTB) (npts, &tmp_data[npts*j], pwsave); |
| 4153 | 1063 } |
| 458 | 1064 |
| 5275 | 1065 for (octave_idx_type j = 0; j < npts*nsamples; j++) |
| 3572 | 1066 tmp_data[j] = tmp_data[j] / static_cast<double> (npts); |
| 458 | 1067 |
| 1948 | 1068 return retval; |
| 458 | 1069 } |
| 1070 | |
| 677 | 1071 ComplexMatrix |
| 1072 Matrix::fourier2d (void) const | |
| 1073 { | |
| 1948 | 1074 ComplexMatrix retval; |
| 1075 | |
| 5275 | 1076 octave_idx_type nr = rows (); |
| 1077 octave_idx_type nc = cols (); | |
| 1078 | |
| 1079 octave_idx_type npts, nsamples; | |
| 1948 | 1080 |
| 677 | 1081 if (nr == 1 || nc == 1) |
| 1082 { | |
| 1083 npts = nr > nc ? nr : nc; | |
| 1084 nsamples = 1; | |
| 1085 } | |
| 1086 else | |
| 1087 { | |
| 1088 npts = nr; | |
| 1089 nsamples = nc; | |
| 1090 } | |
| 1091 | |
| 5275 | 1092 octave_idx_type nn = 4*npts+15; |
| 1948 | 1093 |
| 1094 Array<Complex> wsave (nn); | |
| 1095 Complex *pwsave = wsave.fortran_vec (); | |
| 1096 | |
| 3585 | 1097 retval = ComplexMatrix (*this); |
| 1948 | 1098 Complex *tmp_data = retval.fortran_vec (); |
| 1099 | |
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1100 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
| 677 | 1101 |
| 5275 | 1102 for (octave_idx_type j = 0; j < nsamples; j++) |
| 4153 | 1103 { |
| 1104 OCTAVE_QUIT; | |
| 1105 | |
|
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1106 F77_FUNC (zfftf, ZFFTF) (npts, &tmp_data[npts*j], pwsave); |
| 4153 | 1107 } |
| 677 | 1108 |
| 1109 npts = nc; | |
| 1110 nsamples = nr; | |
| 1111 nn = 4*npts+15; | |
| 1948 | 1112 |
| 1113 wsave.resize (nn); | |
| 1114 pwsave = wsave.fortran_vec (); | |
| 1115 | |
| 4773 | 1116 Array<Complex> tmp (npts); |
| 1117 Complex *prow = tmp.fortran_vec (); | |
| 1948 | 1118 |
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1119 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
| 677 | 1120 |
| 5275 | 1121 for (octave_idx_type j = 0; j < nsamples; j++) |
| 677 | 1122 { |
| 4153 | 1123 OCTAVE_QUIT; |
| 1124 | |
| 5275 | 1125 for (octave_idx_type i = 0; i < npts; i++) |
| 1948 | 1126 prow[i] = tmp_data[i*nr + j]; |
| 1127 | |
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1128 F77_FUNC (zfftf, ZFFTF) (npts, prow, pwsave); |
| 677 | 1129 |
| 5275 | 1130 for (octave_idx_type i = 0; i < npts; i++) |
| 1948 | 1131 tmp_data[i*nr + j] = prow[i]; |
| 677 | 1132 } |
| 1133 | |
| 1948 | 1134 return retval; |
| 677 | 1135 } |
| 1136 | |
| 1137 ComplexMatrix | |
| 1138 Matrix::ifourier2d (void) const | |
| 1139 { | |
| 1948 | 1140 ComplexMatrix retval; |
| 1141 | |
| 5275 | 1142 octave_idx_type nr = rows (); |
| 1143 octave_idx_type nc = cols (); | |
| 1144 | |
| 1145 octave_idx_type npts, nsamples; | |
| 1948 | 1146 |
| 677 | 1147 if (nr == 1 || nc == 1) |
| 1148 { | |
| 1149 npts = nr > nc ? nr : nc; | |
| 1150 nsamples = 1; | |
| 1151 } | |
| 1152 else | |
| 1153 { | |
| 1154 npts = nr; | |
| 1155 nsamples = nc; | |
| 1156 } | |
| 1157 | |
| 5275 | 1158 octave_idx_type nn = 4*npts+15; |
| 1948 | 1159 |
| 1160 Array<Complex> wsave (nn); | |
| 1161 Complex *pwsave = wsave.fortran_vec (); | |
| 1162 | |
| 3585 | 1163 retval = ComplexMatrix (*this); |
| 1948 | 1164 Complex *tmp_data = retval.fortran_vec (); |
| 1165 | |
|
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1166 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
| 677 | 1167 |
| 5275 | 1168 for (octave_idx_type j = 0; j < nsamples; j++) |
| 4153 | 1169 { |
| 1170 OCTAVE_QUIT; | |
| 1171 | |
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1172 F77_FUNC (zfftb, ZFFTB) (npts, &tmp_data[npts*j], pwsave); |
| 4153 | 1173 } |
| 677 | 1174 |
| 5275 | 1175 for (octave_idx_type j = 0; j < npts*nsamples; j++) |
| 3572 | 1176 tmp_data[j] = tmp_data[j] / static_cast<double> (npts); |
| 677 | 1177 |
| 1178 npts = nc; | |
| 1179 nsamples = nr; | |
| 1180 nn = 4*npts+15; | |
| 1948 | 1181 |
| 1182 wsave.resize (nn); | |
| 1183 pwsave = wsave.fortran_vec (); | |
| 1184 | |
| 4773 | 1185 Array<Complex> tmp (npts); |
| 1186 Complex *prow = tmp.fortran_vec (); | |
| 1948 | 1187 |
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1188 F77_FUNC (zffti, ZFFTI) (npts, pwsave); |
| 677 | 1189 |
| 5275 | 1190 for (octave_idx_type j = 0; j < nsamples; j++) |
| 677 | 1191 { |
| 4153 | 1192 OCTAVE_QUIT; |
| 1193 | |
| 5275 | 1194 for (octave_idx_type i = 0; i < npts; i++) |
| 1948 | 1195 prow[i] = tmp_data[i*nr + j]; |
| 1196 | |
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1197 F77_FUNC (zfftb, ZFFTB) (npts, prow, pwsave); |
| 677 | 1198 |
| 5275 | 1199 for (octave_idx_type i = 0; i < npts; i++) |
| 3572 | 1200 tmp_data[i*nr + j] = prow[i] / static_cast<double> (npts); |
| 677 | 1201 } |
| 1202 | |
| 1948 | 1203 return retval; |
| 677 | 1204 } |
| 1205 | |
| 3827 | 1206 #endif |
| 1207 | |
| 458 | 1208 DET |
| 1209 Matrix::determinant (void) const | |
| 1210 { | |
| 5275 | 1211 octave_idx_type info; |
| 7788 | 1212 double rcon; |
| 1213 return determinant (info, rcon, 0); | |
| 458 | 1214 } |
| 1215 | |
| 1216 DET | |
| 5275 | 1217 Matrix::determinant (octave_idx_type& info) const |
| 458 | 1218 { |
| 7788 | 1219 double rcon; |
| 1220 return determinant (info, rcon, 0); | |
| 458 | 1221 } |
| 1222 | |
| 1223 DET | |
| 7788 | 1224 Matrix::determinant (octave_idx_type& info, double& rcon, int calc_cond) const |
| 458 | 1225 { |
|
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|
1226 MatrixType mattype (*this); |
|
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|
1227 return determinant (mattype, info, rcon, calc_cond); |
|
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|
1228 } |
|
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|
1229 |
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|
1230 DET |
|
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|
1231 Matrix::determinant (MatrixType& mattype, |
|
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|
1232 octave_idx_type& info, double& rcon, int calc_cond) const |
|
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1233 { |
|
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|
1234 DET retval (1.0); |
| 458 | 1235 |
| 5275 | 1236 octave_idx_type nr = rows (); |
| 1237 octave_idx_type nc = cols (); | |
| 458 | 1238 |
|
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1239 if (nr != nc) |
|
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|
1240 (*current_liboctave_error_handler) ("matrix must be square"); |
| 458 | 1241 else |
| 1242 { | |
| 8806 | 1243 volatile int typ = mattype.type (); |
|
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1244 |
|
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|
1245 if (typ == MatrixType::Unknown) |
|
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|
1246 typ = mattype.type (*this); |
|
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|
1247 |
|
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1248 if (typ == MatrixType::Lower || typ == MatrixType::Upper) |
|
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|
1249 { |
|
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|
1250 for (octave_idx_type i = 0; i < nc; i++) |
|
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|
1251 retval *= elem (i,i); |
|
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|
1252 } |
|
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|
1253 else if (typ == MatrixType::Hermitian) |
|
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|
1254 { |
|
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|
1255 Matrix atmp = *this; |
|
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|
1256 double *tmp_data = atmp.fortran_vec (); |
|
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|
1257 |
|
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|
1258 info = 0; |
|
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|
1259 double anorm = 0; |
|
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|
1260 if (calc_cond) anorm = xnorm (*this, 1); |
|
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|
1261 |
|
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|
1262 |
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|
1263 char job = 'L'; |
|
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|
1264 F77_XFCN (dpotrf, DPOTRF, (F77_CONST_CHAR_ARG2 (&job, 1), nr, |
|
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|
1265 tmp_data, nr, info |
|
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|
1266 F77_CHAR_ARG_LEN (1))); |
|
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|
1267 |
|
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|
1268 if (info != 0) |
|
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|
1269 { |
|
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|
1270 rcon = 0.0; |
|
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1271 mattype.mark_as_unsymmetric (); |
|
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1272 typ = MatrixType::Full; |
|
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1273 } |
|
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|
1274 else |
|
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|
1275 { |
|
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|
1276 Array<double> z (3 * nc); |
|
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1277 double *pz = z.fortran_vec (); |
|
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1278 Array<octave_idx_type> iz (nc); |
|
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1279 octave_idx_type *piz = iz.fortran_vec (); |
|
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|
1280 |
|
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|
1281 F77_XFCN (dpocon, DPOCON, (F77_CONST_CHAR_ARG2 (&job, 1), |
|
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1282 nr, tmp_data, nr, anorm, |
|
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1283 rcon, pz, piz, info |
|
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1284 F77_CHAR_ARG_LEN (1))); |
|
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|
1285 |
|
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|
1286 if (info != 0) |
|
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|
1287 rcon = 0.0; |
|
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|
1288 |
|
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|
1289 for (octave_idx_type i = 0; i < nc; i++) |
|
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1290 retval *= atmp (i,i); |
|
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|
1291 |
|
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|
1292 retval = retval.square (); |
|
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|
1293 } |
|
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|
1294 } |
|
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|
1295 else if (typ != MatrixType::Full) |
|
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1296 (*current_liboctave_error_handler) ("det: invalid dense matrix type"); |
|
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|
1297 |
|
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|
1298 if (typ == MatrixType::Full) |
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|
1299 { |
|
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|
1300 Array<octave_idx_type> ipvt (nr); |
|
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1301 octave_idx_type *pipvt = ipvt.fortran_vec (); |
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1302 |
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|
1303 Matrix atmp = *this; |
|
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1304 double *tmp_data = atmp.fortran_vec (); |
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|
1305 |
|
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|
1306 info = 0; |
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1307 |
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1308 // Calculate the norm of the matrix, for later use. |
|
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1309 double anorm = 0; |
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|
1310 if (calc_cond) anorm = xnorm (*this, 1); |
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1311 |
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1312 F77_XFCN (dgetrf, DGETRF, (nr, nr, tmp_data, nr, pipvt, info)); |
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1313 |
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1314 // Throw-away extra info LAPACK gives so as to not change output. |
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1315 rcon = 0.0; |
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1316 if (info != 0) |
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|
1317 { |
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1318 info = -1; |
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1319 retval = DET (); |
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1320 } |
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|
1321 else |
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|
1322 { |
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1323 if (calc_cond) |
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1324 { |
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1325 // Now calc the condition number for non-singular matrix. |
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1326 char job = '1'; |
|
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1327 Array<double> z (4 * nc); |
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1328 double *pz = z.fortran_vec (); |
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1329 Array<octave_idx_type> iz (nc); |
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1330 octave_idx_type *piz = iz.fortran_vec (); |
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1331 |
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1332 F77_XFCN (dgecon, DGECON, (F77_CONST_CHAR_ARG2 (&job, 1), |
|
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1333 nc, tmp_data, nr, anorm, |
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1334 rcon, pz, piz, info |
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1335 F77_CHAR_ARG_LEN (1))); |
| 8335 | 1336 } |
|
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|
1337 |
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1338 if (info != 0) |
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|
1339 { |
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1340 info = -1; |
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|
1341 retval = DET (); |
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|
1342 } |
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|
1343 else |
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|
1344 { |
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|
1345 for (octave_idx_type i = 0; i < nc; i++) |
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1346 { |
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1347 double c = atmp(i,i); |
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1348 retval *= (ipvt(i) != (i+1)) ? -c : c; |
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1349 } |
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1350 } |
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1351 } |
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1352 } |
| 458 | 1353 } |
| 1354 | |
| 1355 return retval; | |
| 1356 } | |
| 1357 | |
| 7788 | 1358 double |
| 1359 Matrix::rcond (void) const | |
| 1360 { | |
| 1361 MatrixType mattype (*this); | |
| 1362 return rcond (mattype); | |
| 1363 } | |
| 1364 | |
| 1365 double | |
| 1366 Matrix::rcond (MatrixType &mattype) const | |
| 1367 { | |
| 1368 double rcon; | |
| 1369 octave_idx_type nr = rows (); | |
| 1370 octave_idx_type nc = cols (); | |
| 1371 | |
| 1372 if (nr != nc) | |
| 1373 (*current_liboctave_error_handler) ("matrix must be square"); | |
| 1374 else if (nr == 0 || nc == 0) | |
| 1375 rcon = octave_Inf; | |
| 1376 else | |
| 1377 { | |
| 1378 int typ = mattype.type (); | |
| 1379 | |
| 1380 if (typ == MatrixType::Unknown) | |
| 1381 typ = mattype.type (*this); | |
| 1382 | |
| 1383 // Only calculate the condition number for LU/Cholesky | |
| 1384 if (typ == MatrixType::Upper) | |
| 1385 { | |
| 1386 const double *tmp_data = fortran_vec (); | |
| 1387 octave_idx_type info = 0; | |
| 1388 char norm = '1'; | |
| 1389 char uplo = 'U'; | |
| 1390 char dia = 'N'; | |
| 1391 | |
| 1392 Array<double> z (3 * nc); | |
| 1393 double *pz = z.fortran_vec (); | |
| 1394 Array<octave_idx_type> iz (nc); | |
| 1395 octave_idx_type *piz = iz.fortran_vec (); | |
| 1396 | |
| 1397 F77_XFCN (dtrcon, DTRCON, (F77_CONST_CHAR_ARG2 (&norm, 1), | |
| 1398 F77_CONST_CHAR_ARG2 (&uplo, 1), | |
| 1399 F77_CONST_CHAR_ARG2 (&dia, 1), | |
| 1400 nr, tmp_data, nr, rcon, | |
| 1401 pz, piz, info | |
| 1402 F77_CHAR_ARG_LEN (1) | |
| 1403 F77_CHAR_ARG_LEN (1) | |
| 1404 F77_CHAR_ARG_LEN (1))); | |
| 1405 | |
| 1406 if (info != 0) | |
| 1407 rcon = 0.0; | |
| 1408 } | |
| 1409 else if (typ == MatrixType::Permuted_Upper) | |
| 1410 (*current_liboctave_error_handler) | |
| 1411 ("permuted triangular matrix not implemented"); | |
| 1412 else if (typ == MatrixType::Lower) | |
| 1413 { | |
| 1414 const double *tmp_data = fortran_vec (); | |
| 1415 octave_idx_type info = 0; | |
| 1416 char norm = '1'; | |
| 1417 char uplo = 'L'; | |
| 1418 char dia = 'N'; | |
| 1419 | |
| 1420 Array<double> z (3 * nc); | |
| 1421 double *pz = z.fortran_vec (); | |
| 1422 Array<octave_idx_type> iz (nc); | |
| 1423 octave_idx_type *piz = iz.fortran_vec (); | |
| 1424 | |
| 1425 F77_XFCN (dtrcon, DTRCON, (F77_CONST_CHAR_ARG2 (&norm, 1), | |
| 1426 F77_CONST_CHAR_ARG2 (&uplo, 1), | |
| 1427 F77_CONST_CHAR_ARG2 (&dia, 1), | |
| 1428 nr, tmp_data, nr, rcon, | |
| 1429 pz, piz, info | |
| 1430 F77_CHAR_ARG_LEN (1) | |
| 1431 F77_CHAR_ARG_LEN (1) | |
| 1432 F77_CHAR_ARG_LEN (1))); | |
| 1433 | |
| 1434 if (info != 0) | |
| 1435 rcon = 0.0; | |
| 1436 } | |
| 1437 else if (typ == MatrixType::Permuted_Lower) | |
| 1438 (*current_liboctave_error_handler) | |
| 1439 ("permuted triangular matrix not implemented"); | |
| 1440 else if (typ == MatrixType::Full || typ == MatrixType::Hermitian) | |
| 1441 { | |
| 1442 double anorm = -1.0; | |
| 1443 Matrix atmp = *this; | |
| 1444 double *tmp_data = atmp.fortran_vec (); | |
| 1445 | |
| 1446 if (typ == MatrixType::Hermitian) | |
| 1447 { | |
| 1448 octave_idx_type info = 0; | |
| 1449 char job = 'L'; | |
| 1450 anorm = atmp.abs().sum(). | |
| 1451 row(static_cast<octave_idx_type>(0)).max(); | |
| 1452 | |
| 1453 F77_XFCN (dpotrf, DPOTRF, (F77_CONST_CHAR_ARG2 (&job, 1), nr, | |
| 1454 tmp_data, nr, info | |
| 1455 F77_CHAR_ARG_LEN (1))); | |
| 1456 | |
| 1457 if (info != 0) | |
| 1458 { | |
| 1459 rcon = 0.0; | |
| 1460 mattype.mark_as_unsymmetric (); | |
| 1461 typ = MatrixType::Full; | |
| 1462 } | |
| 1463 else | |
| 1464 { | |
| 1465 Array<double> z (3 * nc); | |
| 1466 double *pz = z.fortran_vec (); | |
| 1467 Array<octave_idx_type> iz (nc); | |
| 1468 octave_idx_type *piz = iz.fortran_vec (); | |
| 1469 | |
| 1470 F77_XFCN (dpocon, DPOCON, (F77_CONST_CHAR_ARG2 (&job, 1), | |
| 1471 nr, tmp_data, nr, anorm, | |
| 1472 rcon, pz, piz, info | |
| 1473 F77_CHAR_ARG_LEN (1))); | |
| 1474 | |
| 1475 if (info != 0) | |
| 1476 rcon = 0.0; | |
| 1477 } | |
| 1478 } | |
| 1479 | |
| 1480 if (typ == MatrixType::Full) | |
| 1481 { | |
| 1482 octave_idx_type info = 0; | |
| 1483 | |
| 1484 Array<octave_idx_type> ipvt (nr); | |
| 1485 octave_idx_type *pipvt = ipvt.fortran_vec (); | |
| 1486 | |
| 1487 if(anorm < 0.) | |
| 1488 anorm = atmp.abs().sum(). | |
| 1489 row(static_cast<octave_idx_type>(0)).max(); | |
| 1490 | |
| 1491 Array<double> z (4 * nc); | |
| 1492 double *pz = z.fortran_vec (); | |
| 1493 Array<octave_idx_type> iz (nc); | |
| 1494 octave_idx_type *piz = iz.fortran_vec (); | |
| 1495 | |
| 1496 F77_XFCN (dgetrf, DGETRF, (nr, nr, tmp_data, nr, pipvt, info)); | |
| 1497 | |
| 1498 if (info != 0) | |
| 1499 { | |
| 1500 rcon = 0.0; | |
| 1501 mattype.mark_as_rectangular (); | |
| 1502 } | |
| 1503 else | |
| 1504 { | |
| 1505 char job = '1'; | |
| 1506 F77_XFCN (dgecon, DGECON, (F77_CONST_CHAR_ARG2 (&job, 1), | |
| 1507 nc, tmp_data, nr, anorm, | |
| 1508 rcon, pz, piz, info | |
| 1509 F77_CHAR_ARG_LEN (1))); | |
| 1510 | |
| 1511 if (info != 0) | |
| 1512 rcon = 0.0; | |
| 1513 } | |
| 1514 } | |
| 1515 } | |
| 1516 else | |
| 1517 rcon = 0.0; | |
| 1518 } | |
| 1519 | |
| 1520 return rcon; | |
| 1521 } | |
| 1522 | |
| 458 | 1523 Matrix |
| 5785 | 1524 Matrix::utsolve (MatrixType &mattype, const Matrix& b, octave_idx_type& info, |
| 7788 | 1525 double& rcon, solve_singularity_handler sing_handler, |
|
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|
1526 bool calc_cond, blas_trans_type transt) const |
| 5785 | 1527 { |
| 1528 Matrix retval; | |
| 1529 | |
| 1530 octave_idx_type nr = rows (); | |
| 1531 octave_idx_type nc = cols (); | |
| 1532 | |
| 6924 | 1533 if (nr != b.rows ()) |
| 5785 | 1534 (*current_liboctave_error_handler) |
| 1535 ("matrix dimension mismatch solution of linear equations"); | |
| 6924 | 1536 else if (nr == 0 || nc == 0 || b.cols () == 0) |
| 1537 retval = Matrix (nc, b.cols (), 0.0); | |
| 5785 | 1538 else |
| 1539 { | |
| 1540 volatile int typ = mattype.type (); | |
| 1541 | |
| 1542 if (typ == MatrixType::Permuted_Upper || | |
| 1543 typ == MatrixType::Upper) | |
| 1544 { | |
| 1545 octave_idx_type b_nc = b.cols (); | |
| 7788 | 1546 rcon = 1.; |
| 5785 | 1547 info = 0; |
| 1548 | |
| 1549 if (typ == MatrixType::Permuted_Upper) | |
| 1550 { | |
| 1551 (*current_liboctave_error_handler) | |
| 6390 | 1552 ("permuted triangular matrix not implemented"); |
| 5785 | 1553 } |
| 1554 else | |
| 1555 { | |
| 1556 const double *tmp_data = fortran_vec (); | |
| 1557 | |
| 1558 if (calc_cond) | |
| 1559 { | |
| 1560 char norm = '1'; | |
| 1561 char uplo = 'U'; | |
| 1562 char dia = 'N'; | |
| 1563 | |
| 1564 Array<double> z (3 * nc); | |
| 1565 double *pz = z.fortran_vec (); | |
| 1566 Array<octave_idx_type> iz (nc); | |
| 1567 octave_idx_type *piz = iz.fortran_vec (); | |
| 1568 | |
| 1569 F77_XFCN (dtrcon, DTRCON, (F77_CONST_CHAR_ARG2 (&norm, 1), | |
| 1570 F77_CONST_CHAR_ARG2 (&uplo, 1), | |
| 1571 F77_CONST_CHAR_ARG2 (&dia, 1), | |
| 7788 | 1572 nr, tmp_data, nr, rcon, |
| 5785 | 1573 pz, piz, info |
| 1574 F77_CHAR_ARG_LEN (1) | |
| 1575 F77_CHAR_ARG_LEN (1) | |
| 1576 F77_CHAR_ARG_LEN (1))); | |
| 1577 | |
| 1578 if (info != 0) | |
| 1579 info = -2; | |
| 1580 | |
| 7788 | 1581 volatile double rcond_plus_one = rcon + 1.0; |
| 1582 | |
| 1583 if (rcond_plus_one == 1.0 || xisnan (rcon)) | |
| 5785 | 1584 { |
| 1585 info = -2; | |
| 1586 | |
| 1587 if (sing_handler) | |
| 7788 | 1588 sing_handler (rcon); |
| 5785 | 1589 else |
| 1590 (*current_liboctave_error_handler) | |
| 1591 ("matrix singular to machine precision, rcond = %g", | |
| 7788 | 1592 rcon); |
| 5785 | 1593 } |
| 1594 } | |
| 1595 | |
| 1596 if (info == 0) | |
| 1597 { | |
| 1598 retval = b; | |
| 1599 double *result = retval.fortran_vec (); | |
| 1600 | |
| 1601 char uplo = 'U'; | |
|
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|
1602 char trans = get_blas_char (transt); |
| 5785 | 1603 char dia = 'N'; |
| 1604 | |
| 1605 F77_XFCN (dtrtrs, DTRTRS, (F77_CONST_CHAR_ARG2 (&uplo, 1), | |
| 1606 F77_CONST_CHAR_ARG2 (&trans, 1), | |
| 1607 F77_CONST_CHAR_ARG2 (&dia, 1), | |
| 1608 nr, b_nc, tmp_data, nr, | |
| 1609 result, nr, info | |
| 1610 F77_CHAR_ARG_LEN (1) | |
| 1611 F77_CHAR_ARG_LEN (1) | |
| 1612 F77_CHAR_ARG_LEN (1))); | |
| 1613 } | |
| 1614 } | |
| 1615 } | |
| 1616 else | |
| 1617 (*current_liboctave_error_handler) ("incorrect matrix type"); | |
| 1618 } | |
| 1619 | |
| 1620 return retval; | |
| 1621 } | |
| 1622 | |
| 1623 Matrix | |
| 1624 Matrix::ltsolve (MatrixType &mattype, const Matrix& b, octave_idx_type& info, | |
| 7788 | 1625 double& rcon, solve_singularity_handler sing_handler, |
|
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|
1626 bool calc_cond, blas_trans_type transt) const |
| 5785 | 1627 { |
| 1628 Matrix retval; | |
| 1629 | |
| 1630 octave_idx_type nr = rows (); | |
| 1631 octave_idx_type nc = cols (); | |
| 1632 | |
| 6924 | 1633 if (nr != b.rows ()) |
| 5785 | 1634 (*current_liboctave_error_handler) |
| 1635 ("matrix dimension mismatch solution of linear equations"); | |
| 6924 | 1636 else if (nr == 0 || nc == 0 || b.cols () == 0) |
| 1637 retval = Matrix (nc, b.cols (), 0.0); | |
| 5785 | 1638 else |
| 1639 { | |
| 1640 volatile int typ = mattype.type (); | |
| 1641 | |
| 1642 if (typ == MatrixType::Permuted_Lower || | |
| 1643 typ == MatrixType::Lower) | |
| 1644 { | |
| 1645 octave_idx_type b_nc = b.cols (); | |
| 7788 | 1646 rcon = 1.; |
| 5785 | 1647 info = 0; |
| 1648 | |
| 1649 if (typ == MatrixType::Permuted_Lower) | |
| 1650 { | |
| 1651 (*current_liboctave_error_handler) | |
| 6390 | 1652 ("permuted triangular matrix not implemented"); |
| 5785 | 1653 } |
| 1654 else | |
| 1655 { | |
| 1656 const double *tmp_data = fortran_vec (); | |
| 1657 | |
| 1658 if (calc_cond) | |
| 1659 { | |
| 1660 char norm = '1'; | |
| 1661 char uplo = 'L'; | |
| 1662 char dia = 'N'; | |
| 1663 | |
| 1664 Array<double> z (3 * nc); | |
| 1665 double *pz = z.fortran_vec (); | |
| 1666 Array<octave_idx_type> iz (nc); | |
| 1667 octave_idx_type *piz = iz.fortran_vec (); | |
| 1668 | |
| 1669 F77_XFCN (dtrcon, DTRCON, (F77_CONST_CHAR_ARG2 (&norm, 1), | |
| 1670 F77_CONST_CHAR_ARG2 (&uplo, 1), | |
| 1671 F77_CONST_CHAR_ARG2 (&dia, 1), | |
| 7788 | 1672 nr, tmp_data, nr, rcon, |
| 5785 | 1673 pz, piz, info |
| 1674 F77_CHAR_ARG_LEN (1) | |
| 1675 F77_CHAR_ARG_LEN (1) | |
| 1676 F77_CHAR_ARG_LEN (1))); | |
| 1677 | |
| 1678 if (info != 0) | |
| 1679 info = -2; | |
| 1680 | |
| 7788 | 1681 volatile double rcond_plus_one = rcon + 1.0; |
| 1682 | |
| 1683 if (rcond_plus_one == 1.0 || xisnan (rcon)) | |
| 5785 | 1684 { |
| 1685 info = -2; | |
| 1686 | |
| 1687 if (sing_handler) | |
| 7788 | 1688 sing_handler (rcon); |
| 5785 | 1689 else |
| 1690 (*current_liboctave_error_handler) | |
| 1691 ("matrix singular to machine precision, rcond = %g", | |
| 7788 | 1692 rcon); |
| 5785 | 1693 } |
| 1694 } | |
| 1695 | |
| 1696 if (info == 0) | |
| 1697 { | |
| 1698 retval = b; | |
| 1699 double *result = retval.fortran_vec (); | |
| 1700 | |
| 1701 char uplo = 'L'; | |
|
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diff
changeset
|
1702 char trans = get_blas_char (transt); |
| 5785 | 1703 char dia = 'N'; |
| 1704 | |
| 1705 F77_XFCN (dtrtrs, DTRTRS, (F77_CONST_CHAR_ARG2 (&uplo, 1), | |
| 1706 F77_CONST_CHAR_ARG2 (&trans, 1), | |
| 1707 F77_CONST_CHAR_ARG2 (&dia, 1), | |
| 1708 nr, b_nc, tmp_data, nr, | |
| 1709 result, nr, info | |
| 1710 F77_CHAR_ARG_LEN (1) | |
| 1711 F77_CHAR_ARG_LEN (1) | |
| 1712 F77_CHAR_ARG_LEN (1))); | |
| 1713 } | |
| 1714 } | |
| 1715 } | |
| 1716 else | |
| 1717 (*current_liboctave_error_handler) ("incorrect matrix type"); | |
| 1718 } | |
| 1719 | |
| 1720 return retval; | |
| 1721 } | |
| 1722 | |
| 1723 Matrix | |
| 1724 Matrix::fsolve (MatrixType &mattype, const Matrix& b, octave_idx_type& info, | |
| 7788 | 1725 double& rcon, solve_singularity_handler sing_handler, |
| 5785 | 1726 bool calc_cond) const |
| 1727 { | |
| 1728 Matrix retval; | |
| 1729 | |
| 1730 octave_idx_type nr = rows (); | |
| 1731 octave_idx_type nc = cols (); | |
| 1732 | |
| 6924 | 1733 if (nr != nc || nr != b.rows ()) |
| 5785 | 1734 (*current_liboctave_error_handler) |
| 1735 ("matrix dimension mismatch solution of linear equations"); | |
| 6924 | 1736 else if (nr == 0 || b.cols () == 0) |
| 1737 retval = Matrix (nc, b.cols (), 0.0); | |
| 5785 | 1738 else |
| 1739 { | |
| 1740 volatile int typ = mattype.type (); | |
| 1741 | |
| 1742 // Calculate the norm of the matrix, for later use. | |
| 1743 double anorm = -1.; | |
| 1744 | |
| 1745 if (typ == MatrixType::Hermitian) | |
| 1746 { | |
| 1747 info = 0; | |
| 1748 char job = 'L'; | |
| 1749 Matrix atmp = *this; | |
| 1750 double *tmp_data = atmp.fortran_vec (); | |
| 1751 anorm = atmp.abs().sum().row(static_cast<octave_idx_type>(0)).max(); | |
| 1752 | |
| 1753 F77_XFCN (dpotrf, DPOTRF, (F77_CONST_CHAR_ARG2 (&job, 1), nr, | |
| 1754 tmp_data, nr, info | |
| 1755 F77_CHAR_ARG_LEN (1))); | |
| 1756 | |
|
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|
1757 // Throw-away extra info LAPACK gives so as to not change output. |
| 7788 | 1758 rcon = 0.0; |
|
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|
1759 if (info != 0) |
|
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|
1760 { |
|
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|
1761 info = -2; |
|
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1762 |
|
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|
1763 mattype.mark_as_unsymmetric (); |
|
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1764 typ = MatrixType::Full; |
|
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1765 } |
|
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|
1766 else |
| 5785 | 1767 { |
|
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|
1768 if (calc_cond) |
| 5785 | 1769 { |
|
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1770 Array<double> z (3 * nc); |
|
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1771 double *pz = z.fortran_vec (); |
|
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1772 Array<octave_idx_type> iz (nc); |
|
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1773 octave_idx_type *piz = iz.fortran_vec (); |
|
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1774 |
|
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1775 F77_XFCN (dpocon, DPOCON, (F77_CONST_CHAR_ARG2 (&job, 1), |
|
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|
1776 nr, tmp_data, nr, anorm, |
| 7788 | 1777 rcon, pz, piz, info |
|
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|
1778 F77_CHAR_ARG_LEN (1))); |
|
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1779 |
|
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1780 if (info != 0) |
|
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|
1781 info = -2; |
|
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diff
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|
1782 |
| 7788 | 1783 volatile double rcond_plus_one = rcon + 1.0; |
| 1784 | |
| 1785 if (rcond_plus_one == 1.0 || xisnan (rcon)) | |
|
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|
1786 { |
|
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diff
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|
1787 info = -2; |
|
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changeset
|
1788 |
|
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diff
changeset
|
1789 if (sing_handler) |
| 7788 | 1790 sing_handler (rcon); |
|
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diff
changeset
|
1791 else |
|
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diff
changeset
|
1792 (*current_liboctave_error_handler) |
|
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diff
changeset
|
1793 ("matrix singular to machine precision, rcond = %g", |
| 7788 | 1794 rcon); |
|
7482
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don't check f77_exception_encountered
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diff
changeset
|
1795 } |
|
29980c6b8604
don't check f77_exception_encountered
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diff
changeset
|
1796 } |
|
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don't check f77_exception_encountered
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diff
changeset
|
1797 |
|
29980c6b8604
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diff
changeset
|
1798 if (info == 0) |
|
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diff
changeset
|
1799 { |
|
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|
1800 retval = b; |
|
29980c6b8604
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|
1801 double *result = retval.fortran_vec (); |
|
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diff
changeset
|
1802 |
|
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diff
changeset
|
1803 octave_idx_type b_nc = b.cols (); |
|
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changeset
|
1804 |
|
29980c6b8604
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diff
changeset
|
1805 F77_XFCN (dpotrs, DPOTRS, (F77_CONST_CHAR_ARG2 (&job, 1), |
|
29980c6b8604
don't check f77_exception_encountered
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diff
changeset
|
1806 nr, b_nc, tmp_data, nr, |
|
29980c6b8604
don't check f77_exception_encountered
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|
1807 result, b.rows(), info |
|
29980c6b8604
don't check f77_exception_encountered
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diff
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|
1808 F77_CHAR_ARG_LEN (1))); |
|
29980c6b8604
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|
1809 } |
|
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diff
changeset
|
1810 else |
|
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diff
changeset
|
1811 { |
| 5785 | 1812 mattype.mark_as_unsymmetric (); |
| 1813 typ = MatrixType::Full; | |
|
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|
1814 } |
| 5785 | 1815 } |
| 1816 } | |
| 1817 | |
| 1818 if (typ == MatrixType::Full) | |
| 1819 { | |
| 1820 info = 0; | |
| 1821 | |
| 1822 Array<octave_idx_type> ipvt (nr); | |
| 1823 octave_idx_type *pipvt = ipvt.fortran_vec (); | |
| 1824 | |
| 1825 Matrix atmp = *this; | |
| 1826 double *tmp_data = atmp.fortran_vec (); | |
| 1827 if(anorm < 0.) | |
| 1828 anorm = atmp.abs().sum().row(static_cast<octave_idx_type>(0)).max(); | |
| 1829 | |
| 1830 Array<double> z (4 * nc); | |
| 1831 double *pz = z.fortran_vec (); | |
| 1832 Array<octave_idx_type> iz (nc); | |
| 1833 octave_idx_type *piz = iz.fortran_vec (); | |
| 1834 | |
| 1835 F77_XFCN (dgetrf, DGETRF, (nr, nr, tmp_data, nr, pipvt, info)); | |
| 1836 | |
|
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|
1837 // Throw-away extra info LAPACK gives so as to not change output. |
| 7788 | 1838 rcon = 0.0; |
|
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|
1839 if (info != 0) |
| 5785 | 1840 { |
|
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|
1841 info = -2; |
|
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changeset
|
1842 |
|
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diff
changeset
|
1843 if (sing_handler) |
| 7788 | 1844 sing_handler (rcon); |
|
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|
1845 else |
|
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|
1846 (*current_liboctave_error_handler) |
|
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|
1847 ("matrix singular to machine precision"); |
|
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changeset
|
1848 |
|
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changeset
|
1849 mattype.mark_as_rectangular (); |
|
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|
1850 } |
|
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|
1851 else |
|
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diff
changeset
|
1852 { |
|
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|
1853 if (calc_cond) |
| 5785 | 1854 { |
|
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|
1855 // Now calculate the condition number for |
|
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|
1856 // non-singular matrix. |
|
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|
1857 char job = '1'; |
|
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changeset
|
1858 F77_XFCN (dgecon, DGECON, (F77_CONST_CHAR_ARG2 (&job, 1), |
|
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changeset
|
1859 nc, tmp_data, nr, anorm, |
| 7788 | 1860 rcon, pz, piz, info |
|
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|
1861 F77_CHAR_ARG_LEN (1))); |
|
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changeset
|
1862 |
|
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|
1863 if (info != 0) |
|
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|
1864 info = -2; |
|
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changeset
|
1865 |
| 7788 | 1866 volatile double rcond_plus_one = rcon + 1.0; |
| 1867 | |
| 1868 if (rcond_plus_one == 1.0 || xisnan (rcon)) | |
| 5785 | 1869 { |
|
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diff
changeset
|
1870 info = -2; |
|
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changeset
|
1871 |
|
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changeset
|
1872 if (sing_handler) |
| 7788 | 1873 sing_handler (rcon); |
|
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changeset
|
1874 else |
|
29980c6b8604
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changeset
|
1875 (*current_liboctave_error_handler) |
|
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diff
changeset
|
1876 ("matrix singular to machine precision, rcond = %g", |
| 7788 | 1877 rcon); |
| 5785 | 1878 } |
| 1879 } | |
|
7482
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diff
changeset
|
1880 |
|
29980c6b8604
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changeset
|
1881 if (info == 0) |
|
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diff
changeset
|
1882 { |
|
29980c6b8604
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diff
changeset
|
1883 retval = b; |
|
29980c6b8604
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diff
changeset
|
1884 double *result = retval.fortran_vec (); |
|
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diff
changeset
|
1885 |
|
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changeset
|
1886 octave_idx_type b_nc = b.cols (); |
|
29980c6b8604
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changeset
|
1887 |
|
29980c6b8604
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diff
changeset
|
1888 char job = 'N'; |
|
29980c6b8604
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diff
changeset
|
1889 F77_XFCN (dgetrs, DGETRS, (F77_CONST_CHAR_ARG2 (&job, 1), |
|
29980c6b8604
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diff
changeset
|
1890 nr, b_nc, tmp_data, nr, |
|
29980c6b8604
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diff
changeset
|
1891 pipvt, result, b.rows(), info |
|
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diff
changeset
|
1892 F77_CHAR_ARG_LEN (1))); |
|
29980c6b8604
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diff
changeset
|
1893 } |
|
29980c6b8604
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diff
changeset
|
1894 else |
|
29980c6b8604
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parents:
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diff
changeset
|
1895 mattype.mark_as_rectangular (); |
| 5785 | 1896 } |
| 1897 } | |
| 1898 else if (typ != MatrixType::Hermitian) | |
| 1899 (*current_liboctave_error_handler) ("incorrect matrix type"); | |
| 1900 } | |
| 1901 | |
| 1902 return retval; | |
| 1903 } | |
| 1904 | |
| 1905 Matrix | |
| 1906 Matrix::solve (MatrixType &typ, const Matrix& b) const | |
| 1907 { | |
| 1908 octave_idx_type info; | |
| 7788 | 1909 double rcon; |
| 1910 return solve (typ, b, info, rcon, 0); | |
| 5785 | 1911 } |
| 1912 | |
| 1913 Matrix | |
|
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diff
changeset
|
1914 Matrix::solve (MatrixType &typ, const Matrix& b, octave_idx_type& info) const |
|
0d3b248f4ab6
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diff
changeset
|
1915 { |
|
0d3b248f4ab6
further improve mixed real-complex division
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diff
changeset
|
1916 double rcon; |
|
0d3b248f4ab6
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diff
changeset
|
1917 return solve (typ, b, info, rcon, 0); |
|
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changeset
|
1918 } |
|
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diff
changeset
|
1919 |
|
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diff
changeset
|
1920 Matrix |
| 5785 | 1921 Matrix::solve (MatrixType &typ, const Matrix& b, octave_idx_type& info, |
| 7788 | 1922 double& rcon) const |
| 5785 | 1923 { |
| 7788 | 1924 return solve (typ, b, info, rcon, 0); |
| 5785 | 1925 } |
| 1926 | |
| 1927 Matrix | |
| 1928 Matrix::solve (MatrixType &mattype, const Matrix& b, octave_idx_type& info, | |
| 7788 | 1929 double& rcon, solve_singularity_handler sing_handler, |
|
9661
afcf852256d2
optimize / and '\ for triangular matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
9658
diff
changeset
|
1930 bool singular_fallback, blas_trans_type transt) const |
| 5785 | 1931 { |
| 1932 Matrix retval; | |
| 1933 int typ = mattype.type (); | |
| 1934 | |
| 1935 if (typ == MatrixType::Unknown) | |
| 1936 typ = mattype.type (*this); | |
| 1937 | |
| 1938 // Only calculate the condition number for LU/Cholesky | |
| 1939 if (typ == MatrixType::Upper || typ == MatrixType::Permuted_Upper) | |
|
9661
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optimize / and '\ for triangular matrices
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parents:
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diff
changeset
|
1940 retval = utsolve (mattype, b, info, rcon, sing_handler, false, transt); |
| 5785 | 1941 else if (typ == MatrixType::Lower || typ == MatrixType::Permuted_Lower) |
|
9661
afcf852256d2
optimize / and '\ for triangular matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
9658
diff
changeset
|
1942 retval = ltsolve (mattype, b, info, rcon, sing_handler, false, transt); |
|
afcf852256d2
optimize / and '\ for triangular matrices
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parents:
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diff
changeset
|
1943 else if (transt == blas_trans || transt == blas_conj_trans) |
|
afcf852256d2
optimize / and '\ for triangular matrices
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parents:
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diff
changeset
|
1944 return transpose ().solve (mattype, b, info, rcon, sing_handler, singular_fallback); |
| 5785 | 1945 else if (typ == MatrixType::Full || typ == MatrixType::Hermitian) |
| 7788 | 1946 retval = fsolve (mattype, b, info, rcon, sing_handler, true); |
| 5785 | 1947 else if (typ != MatrixType::Rectangular) |
| 1948 { | |
| 1949 (*current_liboctave_error_handler) ("unknown matrix type"); | |
| 1950 return Matrix (); | |
| 1951 } | |
| 1952 | |
| 1953 // Rectangular or one of the above solvers flags a singular matrix | |
| 1954 if (singular_fallback && mattype.type () == MatrixType::Rectangular) | |
| 1955 { | |
| 1956 octave_idx_type rank; | |
| 7788 | 1957 retval = lssolve (b, info, rank, rcon); |
| 5785 | 1958 } |
| 1959 | |
| 1960 return retval; | |
| 1961 } | |
| 1962 | |
| 1963 ComplexMatrix | |
| 1964 Matrix::solve (MatrixType &typ, const ComplexMatrix& b) const | |
| 1965 { | |
|
9662
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diff
changeset
|
1966 octave_idx_type info; |
|
0d3b248f4ab6
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diff
changeset
|
1967 double rcon; |
|
0d3b248f4ab6
further improve mixed real-complex division
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diff
changeset
|
1968 return solve (typ, b, info, rcon, 0); |
| 5785 | 1969 } |
| 1970 | |
| 1971 ComplexMatrix | |
| 1972 Matrix::solve (MatrixType &typ, const ComplexMatrix& b, | |
| 1973 octave_idx_type& info) const | |
| 1974 { | |
|
9662
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further improve mixed real-complex division
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diff
changeset
|
1975 double rcon; |
|
0d3b248f4ab6
further improve mixed real-complex division
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diff
changeset
|
1976 return solve (typ, b, info, rcon, 0); |
| 5785 | 1977 } |
| 1978 | |
| 1979 ComplexMatrix | |
| 1980 Matrix::solve (MatrixType &typ, const ComplexMatrix& b, octave_idx_type& info, | |
| 7788 | 1981 double& rcon) const |
| 5785 | 1982 { |
|
9662
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diff
changeset
|
1983 return solve (typ, b, info, rcon, 0); |
|
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diff
changeset
|
1984 } |
|
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diff
changeset
|
1985 |
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1986 static Matrix |
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1987 stack_complex_matrix (const ComplexMatrix& cm) |
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1988 { |
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1989 octave_idx_type m = cm.rows (), n = cm.cols (), nel = m*n; |
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1990 Matrix retval (m, 2*n); |
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1991 const Complex *cmd = cm.data (); |
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1992 double *rd = retval.fortran_vec (); |
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1993 for (octave_idx_type i = 0; i < nel; i++) |
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1994 { |
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1995 rd[i] = std::real (cmd[i]); |
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1996 rd[nel+i] = std::imag (cmd[i]); |
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1997 } |
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1998 return retval; |
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1999 } |
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2000 |
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2001 static ComplexMatrix |
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2002 unstack_complex_matrix (const Matrix& sm) |
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2003 { |
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2004 octave_idx_type m = sm.rows (), n = sm.cols () / 2, nel = m*n; |
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2005 ComplexMatrix retval (m, n); |
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2006 const double *smd = sm.data (); |
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2007 Complex *rd = retval.fortran_vec (); |
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2008 for (octave_idx_type i = 0; i < nel; i++) |
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2009 rd[i] = Complex (smd[i], smd[nel+i]); |
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2010 return retval; |
| 5785 | 2011 } |
| 2012 | |
| 2013 ComplexMatrix | |
| 2014 Matrix::solve (MatrixType &typ, const ComplexMatrix& b, octave_idx_type& info, | |
| 7788 | 2015 double& rcon, solve_singularity_handler sing_handler, |
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2016 bool singular_fallback, blas_trans_type transt) const |
| 5785 | 2017 { |
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2018 Matrix tmp = stack_complex_matrix (b); |
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2019 tmp = solve (typ, tmp, info, rcon, sing_handler, singular_fallback, transt); |
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2020 return unstack_complex_matrix (tmp); |
| 5785 | 2021 } |
| 2022 | |
| 2023 ColumnVector | |
| 2024 Matrix::solve (MatrixType &typ, const ColumnVector& b) const | |
| 2025 { | |
| 7788 | 2026 octave_idx_type info; double rcon; |
| 2027 return solve (typ, b, info, rcon); | |
| 5785 | 2028 } |
| 2029 | |
| 2030 ColumnVector | |
| 2031 Matrix::solve (MatrixType &typ, const ColumnVector& b, | |
| 2032 octave_idx_type& info) const | |
| 2033 { | |
| 7788 | 2034 double rcon; |
| 2035 return solve (typ, b, info, rcon); | |
| 5785 | 2036 } |
| 2037 | |
| 2038 ColumnVector | |
| 2039 Matrix::solve (MatrixType &typ, const ColumnVector& b, octave_idx_type& info, | |
| 7788 | 2040 double& rcon) const |
| 5785 | 2041 { |
| 7788 | 2042 return solve (typ, b, info, rcon, 0); |
| 5785 | 2043 } |
| 2044 | |
| 2045 ColumnVector | |
| 2046 Matrix::solve (MatrixType &typ, const ColumnVector& b, octave_idx_type& info, | |
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2047 double& rcon, solve_singularity_handler sing_handler, blas_trans_type transt) const |
| 5785 | 2048 { |
| 2049 Matrix tmp (b); | |
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2050 return solve (typ, tmp, info, rcon, sing_handler, transt).column(static_cast<octave_idx_type> (0)); |
| 5785 | 2051 } |
| 2052 | |
| 2053 ComplexColumnVector | |
| 2054 Matrix::solve (MatrixType &typ, const ComplexColumnVector& b) const | |
| 2055 { | |
| 2056 ComplexMatrix tmp (*this); | |
| 2057 return tmp.solve (typ, b); | |
| 2058 } | |
| 2059 | |
| 2060 ComplexColumnVector | |
| 2061 Matrix::solve (MatrixType &typ, const ComplexColumnVector& b, | |
| 2062 octave_idx_type& info) const | |
| 2063 { | |
| 2064 ComplexMatrix tmp (*this); | |
| 2065 return tmp.solve (typ, b, info); | |
| 2066 } | |
| 2067 | |
| 2068 ComplexColumnVector | |
| 2069 Matrix::solve (MatrixType &typ, const ComplexColumnVector& b, | |
| 7788 | 2070 octave_idx_type& info, double& rcon) const |
| 5785 | 2071 { |
| 2072 ComplexMatrix tmp (*this); | |
| 7788 | 2073 return tmp.solve (typ, b, info, rcon); |
| 5785 | 2074 } |
| 2075 | |
| 2076 ComplexColumnVector | |
| 2077 Matrix::solve (MatrixType &typ, const ComplexColumnVector& b, | |
| 7788 | 2078 octave_idx_type& info, double& rcon, |
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2079 solve_singularity_handler sing_handler, blas_trans_type transt) const |
| 5785 | 2080 { |
| 2081 ComplexMatrix tmp (*this); | |
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2082 return tmp.solve(typ, b, info, rcon, sing_handler, transt); |
| 5785 | 2083 } |
| 2084 | |
| 2085 Matrix | |
| 458 | 2086 Matrix::solve (const Matrix& b) const |
| 2087 { | |
| 5275 | 2088 octave_idx_type info; |
| 7788 | 2089 double rcon; |
| 2090 return solve (b, info, rcon, 0); | |
| 458 | 2091 } |
| 2092 | |
| 2093 Matrix | |
| 5275 | 2094 Matrix::solve (const Matrix& b, octave_idx_type& info) const |
| 458 | 2095 { |
| 7788 | 2096 double rcon; |
| 2097 return solve (b, info, rcon, 0); | |
| 458 | 2098 } |
| 2099 | |
| 2100 Matrix | |
| 7788 | 2101 Matrix::solve (const Matrix& b, octave_idx_type& info, double& rcon) const |
| 458 | 2102 { |
| 7788 | 2103 return solve (b, info, rcon, 0); |
| 3480 | 2104 } |
| 2105 | |
| 2106 Matrix | |
| 5785 | 2107 Matrix::solve (const Matrix& b, octave_idx_type& info, |
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2108 double& rcon, solve_singularity_handler sing_handler, blas_trans_type transt) const |
| 3480 | 2109 { |
| 5785 | 2110 MatrixType mattype (*this); |
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2111 return solve (mattype, b, info, rcon, sing_handler, true, transt); |
| 458 | 2112 } |
| 2113 | |
| 2114 ComplexMatrix | |
| 2115 Matrix::solve (const ComplexMatrix& b) const | |
| 2116 { | |
| 2117 ComplexMatrix tmp (*this); | |
| 2118 return tmp.solve (b); | |
| 2119 } | |
| 2120 | |
| 2121 ComplexMatrix | |
| 5275 | 2122 Matrix::solve (const ComplexMatrix& b, octave_idx_type& info) const |
| 458 | 2123 { |
| 2124 ComplexMatrix tmp (*this); | |
| 2125 return tmp.solve (b, info); | |
| 2126 } | |
| 2127 | |
| 2128 ComplexMatrix | |
| 7788 | 2129 Matrix::solve (const ComplexMatrix& b, octave_idx_type& info, double& rcon) const |
| 458 | 2130 { |
| 2131 ComplexMatrix tmp (*this); | |
| 7788 | 2132 return tmp.solve (b, info, rcon); |
| 458 | 2133 } |
| 2134 | |
| 3480 | 2135 ComplexMatrix |
| 7788 | 2136 Matrix::solve (const ComplexMatrix& b, octave_idx_type& info, double& rcon, |
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2137 solve_singularity_handler sing_handler, blas_trans_type transt) const |
| 3480 | 2138 { |
| 2139 ComplexMatrix tmp (*this); | |
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2140 return tmp.solve (b, info, rcon, sing_handler, transt); |
| 3480 | 2141 } |
| 2142 | |
| 458 | 2143 ColumnVector |
| 2144 Matrix::solve (const ColumnVector& b) const | |
| 2145 { | |
| 7788 | 2146 octave_idx_type info; double rcon; |
| 2147 return solve (b, info, rcon); | |
| 458 | 2148 } |
| 2149 | |
| 2150 ColumnVector | |
| 5275 | 2151 Matrix::solve (const ColumnVector& b, octave_idx_type& info) const |
| 458 | 2152 { |
| 7788 | 2153 double rcon; |
| 2154 return solve (b, info, rcon); | |
| 458 | 2155 } |
| 2156 | |
| 2157 ColumnVector | |
| 7788 | 2158 Matrix::solve (const ColumnVector& b, octave_idx_type& info, double& rcon) const |
| 458 | 2159 { |
| 7788 | 2160 return solve (b, info, rcon, 0); |
| 3480 | 2161 } |
| 2162 | |
| 2163 ColumnVector | |
| 7788 | 2164 Matrix::solve (const ColumnVector& b, octave_idx_type& info, double& rcon, |
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2165 solve_singularity_handler sing_handler, blas_trans_type transt) const |
| 3480 | 2166 { |
| 5785 | 2167 MatrixType mattype (*this); |
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2168 return solve (mattype, b, info, rcon, sing_handler, transt); |
| 458 | 2169 } |
| 2170 | |
| 2171 ComplexColumnVector | |
| 2172 Matrix::solve (const ComplexColumnVector& b) const | |
| 2173 { | |
| 2174 ComplexMatrix tmp (*this); | |
| 2175 return tmp.solve (b); | |
| 2176 } | |
| 2177 | |
| 2178 ComplexColumnVector | |
| 5275 | 2179 Matrix::solve (const ComplexColumnVector& b, octave_idx_type& info) const |
| 458 | 2180 { |
| 2181 ComplexMatrix tmp (*this); | |
| 2182 return tmp.solve (b, info); | |
| 2183 } | |
| 2184 | |
| 2185 ComplexColumnVector | |
| 7788 | 2186 Matrix::solve (const ComplexColumnVector& b, octave_idx_type& info, double& rcon) const |
| 458 | 2187 { |
| 2188 ComplexMatrix tmp (*this); | |
| 7788 | 2189 return tmp.solve (b, info, rcon); |
| 458 | 2190 } |
| 2191 | |
| 3480 | 2192 ComplexColumnVector |
| 7788 | 2193 Matrix::solve (const ComplexColumnVector& b, octave_idx_type& info, double& rcon, |
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2194 solve_singularity_handler sing_handler, blas_trans_type transt) const |
| 3480 | 2195 { |
| 2196 ComplexMatrix tmp (*this); | |
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2197 return tmp.solve (b, info, rcon, sing_handler, transt); |
| 3480 | 2198 } |
| 2199 | |
| 458 | 2200 Matrix |
| 2201 Matrix::lssolve (const Matrix& b) const | |
| 2202 { | |
| 5275 | 2203 octave_idx_type info; |
| 2204 octave_idx_type rank; | |
| 7788 | 2205 double rcon; |
| 2206 return lssolve (b, info, rank, rcon); | |
| 458 | 2207 } |
| 2208 | |
| 2209 Matrix | |
| 5275 | 2210 Matrix::lssolve (const Matrix& b, octave_idx_type& info) const |
| 458 | 2211 { |
| 5275 | 2212 octave_idx_type rank; |
| 7788 | 2213 double rcon; |
| 2214 return lssolve (b, info, rank, rcon); | |
| 458 | 2215 } |
| 2216 | |
| 2217 Matrix | |
| 7072 | 2218 Matrix::lssolve (const Matrix& b, octave_idx_type& info, |
| 2219 octave_idx_type& rank) const | |
| 458 | 2220 { |
| 7788 | 2221 double rcon; |
| 2222 return lssolve (b, info, rank, rcon); | |
| 7076 | 2223 } |
| 2224 | |
| 2225 Matrix | |
| 2226 Matrix::lssolve (const Matrix& b, octave_idx_type& info, | |
| 7788 | 2227 octave_idx_type& rank, double &rcon) const |
| 7076 | 2228 { |
| 1948 | 2229 Matrix retval; |
| 2230 | |
| 5275 | 2231 octave_idx_type nrhs = b.cols (); |
| 2232 | |
| 2233 octave_idx_type m = rows (); | |
| 2234 octave_idx_type n = cols (); | |
| 458 | 2235 |
| 6924 | 2236 if (m != b.rows ()) |
| 1948 | 2237 (*current_liboctave_error_handler) |
| 6924 | 2238 ("matrix dimension mismatch solution of linear equations"); |
| 2239 else if (m == 0 || n == 0 || b.cols () == 0) | |
| 2240 retval = Matrix (n, b.cols (), 0.0); | |
| 1948 | 2241 else |
| 458 | 2242 { |
| 7072 | 2243 volatile octave_idx_type minmn = (m < n ? m : n); |
| 2244 octave_idx_type maxmn = m > n ? m : n; | |
| 7788 | 2245 rcon = -1.0; |
| 7072 | 2246 if (m != n) |
| 2247 { | |
| 2248 retval = Matrix (maxmn, nrhs, 0.0); | |
| 2249 | |
| 2250 for (octave_idx_type j = 0; j < nrhs; j++) | |
| 2251 for (octave_idx_type i = 0; i < m; i++) | |
| 2252 retval.elem (i, j) = b.elem (i, j); | |
| 2253 } | |
| 2254 else | |
| 2255 retval = b; | |
| 2256 | |
| 1948 | 2257 Matrix atmp = *this; |
| 2258 double *tmp_data = atmp.fortran_vec (); | |
| 2259 | |
| 7072 | 2260 double *pretval = retval.fortran_vec (); |
| 2261 Array<double> s (minmn); | |
| 7071 | 2262 double *ps = s.fortran_vec (); |
| 1948 | 2263 |
| 7072 | 2264 // Ask DGELSD what the dimension of WORK should be. |
| 5275 | 2265 octave_idx_type lwork = -1; |
| 3752 | 2266 |
| 2267 Array<double> work (1); | |
| 1948 | 2268 |
| 7477 | 2269 octave_idx_type smlsiz; |
| 2270 F77_FUNC (xilaenv, XILAENV) (9, F77_CONST_CHAR_ARG2 ("DGELSD", 6), | |
| 2271 F77_CONST_CHAR_ARG2 (" ", 1), | |
| 7478 | 2272 0, 0, 0, 0, smlsiz |
| 7477 | 2273 F77_CHAR_ARG_LEN (6) |
| 7478 | 2274 F77_CHAR_ARG_LEN (1)); |
| 7079 | 2275 |
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2276 octave_idx_type mnthr; |
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2277 F77_FUNC (xilaenv, XILAENV) (6, F77_CONST_CHAR_ARG2 ("DGELSD", 6), |
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2278 F77_CONST_CHAR_ARG2 (" ", 1), |
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2279 m, n, nrhs, -1, mnthr |
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2280 F77_CHAR_ARG_LEN (6) |
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2281 F77_CHAR_ARG_LEN (1)); |
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2282 |
| 7079 | 2283 // We compute the size of iwork because DGELSD in older versions |
| 2284 // of LAPACK does not return it on a query call. | |
| 7124 | 2285 double dminmn = static_cast<double> (minmn); |
| 2286 double dsmlsizp1 = static_cast<double> (smlsiz+1); | |
| 7079 | 2287 #if defined (HAVE_LOG2) |
| 7367 | 2288 double tmp = log2 (dminmn / dsmlsizp1); |
| 7079 | 2289 #else |
| 7367 | 2290 double tmp = log (dminmn / dsmlsizp1) / log (2.0); |
| 7079 | 2291 #endif |
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2292 octave_idx_type nlvl = static_cast<octave_idx_type> (tmp) + 1; |
| 7079 | 2293 if (nlvl < 0) |
| 2294 nlvl = 0; | |
| 2295 | |
| 2296 octave_idx_type liwork = 3 * minmn * nlvl + 11 * minmn; | |
| 2297 if (liwork < 1) | |
| 2298 liwork = 1; | |
| 7072 | 2299 Array<octave_idx_type> iwork (liwork); |
| 2300 octave_idx_type* piwork = iwork.fortran_vec (); | |
| 2301 | |
| 2302 F77_XFCN (dgelsd, DGELSD, (m, n, nrhs, tmp_data, m, pretval, maxmn, | |
| 7788 | 2303 ps, rcon, rank, work.fortran_vec (), |
| 7072 | 2304 lwork, piwork, info)); |
| 1948 | 2305 |
| 7476 | 2306 // The workspace query is broken in at least LAPACK 3.0.0 |
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2307 // through 3.1.1 when n >= mnthr. The obtuse formula below |
| 7476 | 2308 // should provide sufficient workspace for DGELSD to operate |
| 2309 // efficiently. | |
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2310 if (n >= mnthr) |
| 7476 | 2311 { |
| 2312 const octave_idx_type wlalsd | |
| 2313 = 9*m + 2*m*smlsiz + 8*m*nlvl + m*nrhs + (smlsiz+1)*(smlsiz+1); | |
| 2314 | |
| 2315 octave_idx_type addend = m; | |
| 2316 | |
| 2317 if (2*m-4 > addend) | |
| 2318 addend = 2*m-4; | |
| 2319 | |
| 2320 if (nrhs > addend) | |
| 2321 addend = nrhs; | |
| 2322 | |
| 2323 if (n-3*m > addend) | |
| 2324 addend = n-3*m; | |
| 2325 | |
| 2326 if (wlalsd > addend) | |
| 2327 addend = wlalsd; | |
| 2328 | |
| 2329 const octave_idx_type lworkaround = 4*m + m*m + addend; | |
| 2330 | |
| 2331 if (work(0) < lworkaround) | |
| 2332 work(0) = lworkaround; | |
| 2333 } | |
|
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|
2334 else if (m >= n) |
|
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|
2335 { |
|
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|
2336 octave_idx_type lworkaround |
|
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|
2337 = 12*n + 2*n*smlsiz + 8*n*nlvl + n*nrhs + (smlsiz+1)*(smlsiz+1); |
|
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|
2338 |
|
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|
2339 if (work(0) < lworkaround) |
|
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|
2340 work(0) = lworkaround; |
|
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|
2341 } |
| 7476 | 2342 |
|
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|
2343 lwork = static_cast<octave_idx_type> (work(0)); |
|
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|
2344 work.resize (lwork); |
|
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|
2345 |
|
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|
2346 F77_XFCN (dgelsd, DGELSD, (m, n, nrhs, tmp_data, m, pretval, |
| 7788 | 2347 maxmn, ps, rcon, rank, |
|
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|
2348 work.fortran_vec (), lwork, |
|
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diff
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|
2349 piwork, info)); |
|
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|
2350 |
|
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|
2351 if (rank < minmn) |
|
29980c6b8604
don't check f77_exception_encountered
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diff
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|
2352 (*current_liboctave_warning_handler) |
|
29980c6b8604
don't check f77_exception_encountered
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diff
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|
2353 ("dgelsd: rank deficient %dx%d matrix, rank = %d", m, n, rank); |
|
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diff
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|
2354 if (s.elem (0) == 0.0) |
| 7788 | 2355 rcon = 0.0; |
| 1948 | 2356 else |
| 7788 | 2357 rcon = s.elem (minmn - 1) / s.elem (0); |
|
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|
2358 |
|
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|
2359 retval.resize (n, nrhs); |
| 458 | 2360 } |
| 2361 | |
| 2362 return retval; | |
| 2363 } | |
| 2364 | |
| 2365 ComplexMatrix | |
| 2366 Matrix::lssolve (const ComplexMatrix& b) const | |
| 2367 { | |
| 2368 ComplexMatrix tmp (*this); | |
| 5275 | 2369 octave_idx_type info; |
| 2370 octave_idx_type rank; | |
| 7788 | 2371 double rcon; |
| 2372 return tmp.lssolve (b, info, rank, rcon); | |
| 458 | 2373 } |
| 2374 | |
| 2375 ComplexMatrix | |
| 5275 | 2376 Matrix::lssolve (const ComplexMatrix& b, octave_idx_type& info) const |
| 458 | 2377 { |
| 2378 ComplexMatrix tmp (*this); | |
| 5275 | 2379 octave_idx_type rank; |
| 7788 | 2380 double rcon; |
| 2381 return tmp.lssolve (b, info, rank, rcon); | |
| 458 | 2382 } |
| 2383 | |
| 2384 ComplexMatrix | |
| 7076 | 2385 Matrix::lssolve (const ComplexMatrix& b, octave_idx_type& info, |
| 2386 octave_idx_type& rank) const | |
| 458 | 2387 { |
| 2388 ComplexMatrix tmp (*this); | |
| 7788 | 2389 double rcon; |
| 2390 return tmp.lssolve (b, info, rank, rcon); | |
| 7076 | 2391 } |
| 2392 | |
| 2393 ComplexMatrix | |
| 2394 Matrix::lssolve (const ComplexMatrix& b, octave_idx_type& info, | |
| 7788 | 2395 octave_idx_type& rank, double& rcon) const |
| 7076 | 2396 { |
| 2397 ComplexMatrix tmp (*this); | |
| 7788 | 2398 return tmp.lssolve (b, info, rank, rcon); |
| 458 | 2399 } |
| 2400 | |
| 2401 ColumnVector | |
| 2402 Matrix::lssolve (const ColumnVector& b) const | |
| 2403 { | |
| 5275 | 2404 octave_idx_type info; |
| 2405 octave_idx_type rank; | |
| 7788 | 2406 double rcon; |
| 2407 return lssolve (b, info, rank, rcon); | |
| 458 | 2408 } |
| 2409 | |
| 2410 ColumnVector | |
| 5275 | 2411 Matrix::lssolve (const ColumnVector& b, octave_idx_type& info) const |
| 458 | 2412 { |
| 5275 | 2413 octave_idx_type rank; |
| 7788 | 2414 double rcon; |
| 2415 return lssolve (b, info, rank, rcon); | |
| 458 | 2416 } |
| 2417 | |
| 2418 ColumnVector | |
| 7072 | 2419 Matrix::lssolve (const ColumnVector& b, octave_idx_type& info, |
| 2420 octave_idx_type& rank) const | |
| 458 | 2421 { |
| 7788 | 2422 double rcon; |
| 2423 return lssolve (b, info, rank, rcon); | |
| 7076 | 2424 } |
| 2425 | |
| 2426 ColumnVector | |
| 2427 Matrix::lssolve (const ColumnVector& b, octave_idx_type& info, | |
| 7788 | 2428 octave_idx_type& rank, double &rcon) const |
| 7076 | 2429 { |
| 1948 | 2430 ColumnVector retval; |
| 2431 | |
| 5275 | 2432 octave_idx_type nrhs = 1; |
| 2433 | |
| 2434 octave_idx_type m = rows (); | |
| 2435 octave_idx_type n = cols (); | |
| 458 | 2436 |
| 6924 | 2437 if (m != b.length ()) |
| 1948 | 2438 (*current_liboctave_error_handler) |
| 6924 | 2439 ("matrix dimension mismatch solution of linear equations"); |
| 2440 else if (m == 0 || n == 0) | |
| 2441 retval = ColumnVector (n, 0.0); | |
| 1948 | 2442 else |
| 458 | 2443 { |
| 7072 | 2444 volatile octave_idx_type minmn = (m < n ? m : n); |
| 2445 octave_idx_type maxmn = m > n ? m : n; | |
| 7788 | 2446 rcon = -1.0; |
| 7072 | 2447 |
| 2448 if (m != n) | |
| 2449 { | |
| 2450 retval = ColumnVector (maxmn, 0.0); | |
| 2451 | |
| 2452 for (octave_idx_type i = 0; i < m; i++) | |
| 2453 retval.elem (i) = b.elem (i); | |
| 2454 } | |
| 2455 else | |
| 2456 retval = b; | |
| 2457 | |
| 1948 | 2458 Matrix atmp = *this; |
| 2459 double *tmp_data = atmp.fortran_vec (); | |
| 2460 | |
| 7072 | 2461 double *pretval = retval.fortran_vec (); |
| 2462 Array<double> s (minmn); | |
| 7071 | 2463 double *ps = s.fortran_vec (); |
| 1948 | 2464 |
| 7072 | 2465 // Ask DGELSD what the dimension of WORK should be. |
| 5275 | 2466 octave_idx_type lwork = -1; |
| 3752 | 2467 |
| 2468 Array<double> work (1); | |
| 2469 | |
|
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|
2470 octave_idx_type smlsiz; |
|
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|
2471 F77_FUNC (xilaenv, XILAENV) (9, F77_CONST_CHAR_ARG2 ("DGELSD", 6), |
|
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|
2472 F77_CONST_CHAR_ARG2 (" ", 1), |
|
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|
2473 0, 0, 0, 0, smlsiz |
|
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|
2474 F77_CHAR_ARG_LEN (6) |
|
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|
2475 F77_CHAR_ARG_LEN (1)); |
| 7079 | 2476 |
| 2477 // We compute the size of iwork because DGELSD in older versions | |
| 2478 // of LAPACK does not return it on a query call. | |
| 7124 | 2479 double dminmn = static_cast<double> (minmn); |
| 2480 double dsmlsizp1 = static_cast<double> (smlsiz+1); | |
| 7079 | 2481 #if defined (HAVE_LOG2) |
|
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|
2482 double tmp = log2 (dminmn / dsmlsizp1); |
| 7079 | 2483 #else |
|
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|
2484 double tmp = log (dminmn / dsmlsizp1) / log (2.0); |
| 7079 | 2485 #endif |
|
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|
2486 octave_idx_type nlvl = static_cast<octave_idx_type> (tmp) + 1; |
| 7079 | 2487 if (nlvl < 0) |
| 2488 nlvl = 0; | |
| 2489 | |
| 2490 octave_idx_type liwork = 3 * minmn * nlvl + 11 * minmn; | |
| 2491 if (liwork < 1) | |
| 2492 liwork = 1; | |
| 7072 | 2493 Array<octave_idx_type> iwork (liwork); |
| 2494 octave_idx_type* piwork = iwork.fortran_vec (); | |
| 2495 | |
| 2496 F77_XFCN (dgelsd, DGELSD, (m, n, nrhs, tmp_data, m, pretval, maxmn, | |
| 7788 | 2497 ps, rcon, rank, work.fortran_vec (), |
| 7072 | 2498 lwork, piwork, info)); |
| 1948 | 2499 |
|
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|
2500 lwork = static_cast<octave_idx_type> (work(0)); |
|
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diff
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|
2501 work.resize (lwork); |
|
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diff
changeset
|
2502 |
|
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7478
diff
changeset
|
2503 F77_XFCN (dgelsd, DGELSD, (m, n, nrhs, tmp_data, m, pretval, |
| 7788 | 2504 maxmn, ps, rcon, rank, |
|
7482
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diff
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|
2505 work.fortran_vec (), lwork, |
|
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diff
changeset
|
2506 piwork, info)); |
|
29980c6b8604
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diff
changeset
|
2507 |
|
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diff
changeset
|
2508 if (rank < minmn) |
| 1948 | 2509 { |
|
7482
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diff
changeset
|
2510 if (rank < minmn) |
|
29980c6b8604
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7478
diff
changeset
|
2511 (*current_liboctave_warning_handler) |
|
29980c6b8604
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diff
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|
2512 ("dgelsd: rank deficient %dx%d matrix, rank = %d", m, n, rank); |
|
29980c6b8604
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diff
changeset
|
2513 if (s.elem (0) == 0.0) |
| 7788 | 2514 rcon = 0.0; |
|
7482
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diff
changeset
|
2515 else |
| 7788 | 2516 rcon = s.elem (minmn - 1) / s.elem (0); |
| 1948 | 2517 } |
|
7482
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|
2518 |
|
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diff
changeset
|
2519 retval.resize (n, nrhs); |
| 458 | 2520 } |
| 2521 | |
| 2522 return retval; | |
| 2523 } | |
| 2524 | |
| 2525 ComplexColumnVector | |
| 2526 Matrix::lssolve (const ComplexColumnVector& b) const | |
| 2527 { | |
| 2528 ComplexMatrix tmp (*this); | |
| 7076 | 2529 octave_idx_type info; |
| 2530 octave_idx_type rank; | |
| 7788 | 2531 double rcon; |
| 2532 return tmp.lssolve (b, info, rank, rcon); | |
| 458 | 2533 } |
| 2534 | |
| 2535 ComplexColumnVector | |
| 5275 | 2536 Matrix::lssolve (const ComplexColumnVector& b, octave_idx_type& info) const |
| 458 | 2537 { |
| 2538 ComplexMatrix tmp (*this); | |
| 7076 | 2539 octave_idx_type rank; |
| 7788 | 2540 double rcon; |
| 2541 return tmp.lssolve (b, info, rank, rcon); | |
| 458 | 2542 } |
| 2543 | |
| 2544 ComplexColumnVector | |
| 7076 | 2545 Matrix::lssolve (const ComplexColumnVector& b, octave_idx_type& info, |
| 2546 octave_idx_type& rank) const | |
| 458 | 2547 { |
| 2548 ComplexMatrix tmp (*this); | |
| 7788 | 2549 double rcon; |
| 2550 return tmp.lssolve (b, info, rank, rcon); | |
| 7076 | 2551 } |
| 2552 | |
| 2553 ComplexColumnVector | |
| 2554 Matrix::lssolve (const ComplexColumnVector& b, octave_idx_type& info, | |
| 7788 | 2555 octave_idx_type& rank, double &rcon) const |
| 7076 | 2556 { |
| 2557 ComplexMatrix tmp (*this); | |
| 7788 | 2558 return tmp.lssolve (b, info, rank, rcon); |
| 458 | 2559 } |
| 2560 | |
| 2561 Matrix& | |
| 2562 Matrix::operator += (const DiagMatrix& a) | |
| 2563 { | |
| 5275 | 2564 octave_idx_type nr = rows (); |
| 2565 octave_idx_type nc = cols (); | |
| 2566 | |
| 2567 octave_idx_type a_nr = a.rows (); | |
| 2568 octave_idx_type a_nc = a.cols (); | |
| 2385 | 2569 |
| 2570 if (nr != a_nr || nc != a_nc) | |
| 458 | 2571 { |
| 2385 | 2572 gripe_nonconformant ("operator +=", nr, nc, a_nr, a_nc); |
| 458 | 2573 return *this; |
| 2574 } | |
| 2575 | |
| 5275 | 2576 for (octave_idx_type i = 0; i < a.length (); i++) |
| 458 | 2577 elem (i, i) += a.elem (i, i); |
| 2578 | |
| 2579 return *this; | |
| 2580 } | |
| 2581 | |
| 2582 Matrix& | |
| 2583 Matrix::operator -= (const DiagMatrix& a) | |
| 2584 { | |
| 5275 | 2585 octave_idx_type nr = rows (); |
| 2586 octave_idx_type nc = cols (); | |
| 2587 | |
| 2588 octave_idx_type a_nr = a.rows (); | |
| 2589 octave_idx_type a_nc = a.cols (); | |
| 2385 | 2590 |
| 2591 if (nr != a_nr || nc != a_nc) | |
| 458 | 2592 { |
| 2385 | 2593 gripe_nonconformant ("operator -=", nr, nc, a_nr, a_nc); |
| 458 | 2594 return *this; |
| 2595 } | |
| 2596 | |
| 5275 | 2597 for (octave_idx_type i = 0; i < a.length (); i++) |
| 458 | 2598 elem (i, i) -= a.elem (i, i); |
| 2599 | |
| 2600 return *this; | |
| 2601 } | |
| 2602 | |
| 2603 // unary operations | |
| 2604 | |
| 2964 | 2605 boolMatrix |
| 458 | 2606 Matrix::operator ! (void) const |
| 2607 { | |
|
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|
2608 return do_mx_unary_op<boolMatrix, Matrix> (*this, mx_inline_not); |
| 458 | 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 |
|
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|
2624 retval = Matrix (len, a_len); |
| 3233 | 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 | |
| 2385 | 2640 bool |
| 4431 | 2641 Matrix::any_element_is_negative (bool neg_zero) const |
| 2385 | 2642 { |
| 5275 | 2643 octave_idx_type nel = nelem (); |
| 2385 | 2644 |
| 4431 | 2645 if (neg_zero) |
| 2646 { | |
| 5275 | 2647 for (octave_idx_type i = 0; i < nel; i++) |
| 4634 | 2648 if (lo_ieee_signbit (elem (i))) |
| 2649 return true; | |
| 4431 | 2650 } |
| 2651 else | |
| 2652 { | |
| 5275 | 2653 for (octave_idx_type i = 0; i < nel; i++) |
| 4634 | 2654 if (elem (i) < 0) |
| 2655 return true; | |
| 4431 | 2656 } |
| 2385 | 2657 |
| 2658 return false; | |
| 2659 } | |
| 2660 | |
|
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|
2661 bool |
|
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|
2662 Matrix::any_element_is_nan (void) const |
|
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|
2663 { |
|
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changeset
|
2664 octave_idx_type nel = nelem (); |
|
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|
2665 |
|
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7803
diff
changeset
|
2666 for (octave_idx_type i = 0; i < nel; i++) |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
2667 { |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
2668 double val = elem (i); |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
2669 if (xisnan (val)) |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
2670 return true; |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
2671 } |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
2672 |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
2673 return false; |
|
935be827eaf8
error for NaN values in & and | expressions
John W. Eaton <jwe@octave.org>
parents:
7803
diff
changeset
|
2674 } |
| 2385 | 2675 |
| 2676 bool | |
| 2677 Matrix::any_element_is_inf_or_nan (void) const | |
| 2678 { | |
| 5275 | 2679 octave_idx_type nel = nelem (); |
| 2680 | |
| 2681 for (octave_idx_type i = 0; i < nel; i++) | |
| 4634 | 2682 { |
| 2683 double val = elem (i); | |
| 2684 if (xisinf (val) || xisnan (val)) | |
| 2685 return true; | |
| 2686 } | |
| 2687 | |
| 2688 return false; | |
| 2385 | 2689 } |
| 2690 | |
| 2691 bool | |
| 5943 | 2692 Matrix::any_element_not_one_or_zero (void) const |
| 2693 { | |
| 2694 octave_idx_type nel = nelem (); | |
| 2695 | |
| 2696 for (octave_idx_type i = 0; i < nel; i++) | |
| 2697 { | |
| 2698 double val = elem (i); | |
| 2699 if (val != 0 && val != 1) | |
| 2700 return true; | |
| 2701 } | |
| 2702 | |
| 2703 return false; | |
| 2704 } | |
| 2705 | |
| 2706 bool | |
| 2385 | 2707 Matrix::all_elements_are_int_or_inf_or_nan (void) const |
| 2708 { | |
| 5275 | 2709 octave_idx_type nel = nelem (); |
| 2710 | |
| 2711 for (octave_idx_type i = 0; i < nel; i++) | |
| 4634 | 2712 { |
| 2713 double val = elem (i); | |
| 2714 if (xisnan (val) || D_NINT (val) == val) | |
| 2715 continue; | |
| 2716 else | |
| 2717 return false; | |
| 2718 } | |
| 2385 | 2719 |
| 2720 return true; | |
| 2721 } | |
| 2722 | |
| 1968 | 2723 // Return nonzero if any element of M is not an integer. Also extract |
| 2724 // the largest and smallest values and return them in MAX_VAL and MIN_VAL. | |
| 2725 | |
| 2385 | 2726 bool |
| 1968 | 2727 Matrix::all_integers (double& max_val, double& min_val) const |
| 2728 { | |
| 5275 | 2729 octave_idx_type nel = nelem (); |
| 4634 | 2730 |
| 2731 if (nel > 0) | |
| 1968 | 2732 { |
| 4634 | 2733 max_val = elem (0); |
| 2734 min_val = elem (0); | |
| 1968 | 2735 } |
| 2736 else | |
| 2385 | 2737 return false; |
| 1968 | 2738 |
| 5275 | 2739 for (octave_idx_type i = 0; i < nel; i++) |
| 4634 | 2740 { |
| 2741 double val = elem (i); | |
| 2742 | |
| 2743 if (val > max_val) | |
| 2744 max_val = val; | |
| 2745 | |
| 2746 if (val < min_val) | |
| 2747 min_val = val; | |
| 2748 | |
| 2749 if (D_NINT (val) != val) | |
| 2750 return false; | |
| 2751 } | |
| 2385 | 2752 |
| 2753 return true; | |
| 1968 | 2754 } |
| 2755 | |
| 2385 | 2756 bool |
| 1968 | 2757 Matrix::too_large_for_float (void) const |
| 2758 { | |
| 5275 | 2759 octave_idx_type nel = nelem (); |
| 2760 | |
| 2761 for (octave_idx_type i = 0; i < nel; i++) | |
| 4634 | 2762 { |
| 2763 double val = elem (i); | |
| 2764 | |
| 5389 | 2765 if (! (xisnan (val) || xisinf (val)) |
| 5387 | 2766 && fabs (val) > FLT_MAX) |
| 4634 | 2767 return true; |
| 2768 } | |
| 1968 | 2769 |
| 2385 | 2770 return false; |
| 1968 | 2771 } |
| 2772 | |
| 5775 | 2773 // FIXME Do these really belong here? Maybe they should be |
| 4015 | 2774 // in a base class? |
| 458 | 2775 |
| 2832 | 2776 boolMatrix |
| 4015 | 2777 Matrix::all (int dim) const |
| 458 | 2778 { |
|
9227
8145f2255276
use explicit template qualifs to please Intel C++ and MSVC++
Jaroslav Hajek <highegg@gmail.com>
parents:
8999
diff
changeset
|
2779 return do_mx_red_op<boolMatrix, double> (*this, dim, mx_inline_all); |
| 458 | 2780 } |
| 2781 | |
| 2832 | 2782 boolMatrix |
| 4015 | 2783 Matrix::any (int dim) const |
| 458 | 2784 { |
|
9227
8145f2255276
use explicit template qualifs to please Intel C++ and MSVC++
Jaroslav Hajek <highegg@gmail.com>
parents:
8999
diff
changeset
|
2785 return do_mx_red_op<boolMatrix, double> (*this, dim, mx_inline_any); |
| 458 | 2786 } |
| 2787 | |
| 2788 Matrix | |
| 3723 | 2789 Matrix::cumprod (int dim) const |
| 458 | 2790 { |
|
9227
8145f2255276
use explicit template qualifs to please Intel C++ and MSVC++
Jaroslav Hajek <highegg@gmail.com>
parents:
8999
diff
changeset
|
2791 return do_mx_cum_op<Matrix, double> (*this, dim, mx_inline_cumprod); |
| 458 | 2792 } |
| 2793 | |
| 2794 Matrix | |
| 3723 | 2795 Matrix::cumsum (int dim) const |
| 458 | 2796 { |
|
9227
8145f2255276
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Jaroslav Hajek <highegg@gmail.com>
parents:
8999
diff
changeset
|
2797 return do_mx_cum_op<Matrix, double> (*this, dim, mx_inline_cumsum); |
| 458 | 2798 } |
| 2799 | |
| 2800 Matrix | |
| 3723 | 2801 Matrix::prod (int dim) const |
| 458 | 2802 { |
|
9227
8145f2255276
use explicit template qualifs to please Intel C++ and MSVC++
Jaroslav Hajek <highegg@gmail.com>
parents:
8999
diff
changeset
|
2803 return do_mx_red_op<Matrix, double> (*this, dim, mx_inline_prod); |
| 458 | 2804 } |
| 2805 | |
| 2806 Matrix | |
| 3723 | 2807 Matrix::sum (int dim) const |
| 458 | 2808 { |
|
9227
8145f2255276
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Jaroslav Hajek <highegg@gmail.com>
parents:
8999
diff
changeset
|
2809 return do_mx_red_op<Matrix, double> (*this, dim, mx_inline_sum); |
| 458 | 2810 } |
| 2811 | |
| 2812 Matrix | |
| 3723 | 2813 Matrix::sumsq (int dim) const |
| 458 | 2814 { |
|
9227
8145f2255276
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Jaroslav Hajek <highegg@gmail.com>
parents:
8999
diff
changeset
|
2815 return do_mx_red_op<Matrix, double> (*this, dim, mx_inline_sumsq); |
| 458 | 2816 } |
| 2817 | |
| 2385 | 2818 Matrix |
| 2819 Matrix::abs (void) const | |
| 2820 { | |
|
8650
a1ae2aae903e
abs,real,imag,conj: use code from mx-inlines rather than the generic map
Jaroslav Hajek <highegg@gmail.com>
parents:
8614
diff
changeset
|
2821 return Matrix (mx_inline_fabs_dup (data (), length ()), |
|
a1ae2aae903e
abs,real,imag,conj: use code from mx-inlines rather than the generic map
Jaroslav Hajek <highegg@gmail.com>
parents:
8614
diff
changeset
|
2822 rows (), cols ()); |
| 2385 | 2823 } |
| 2824 | |
|
7620
36594d5bbe13
Move diag function into the octave_value class
David Bateman <dbateman@free.fr>
parents:
7544
diff
changeset
|
2825 Matrix |
| 5275 | 2826 Matrix::diag (octave_idx_type k) const |
| 458 | 2827 { |
|
7620
36594d5bbe13
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David Bateman <dbateman@free.fr>
parents:
7544
diff
changeset
|
2828 return MArray2<double>::diag (k); |
| 458 | 2829 } |
| 2830 | |
| 2831 ColumnVector | |
| 2832 Matrix::row_min (void) const | |
| 2833 { | |
| 5275 | 2834 Array<octave_idx_type> dummy_idx; |
| 4587 | 2835 return row_min (dummy_idx); |
| 458 | 2836 } |
| 2837 | |
| 2838 ColumnVector | |
| 5275 | 2839 Matrix::row_min (Array<octave_idx_type>& idx_arg) const |
| 458 | 2840 { |
| 2841 ColumnVector result; | |
| 2842 | |
| 5275 | 2843 octave_idx_type nr = rows (); |
| 2844 octave_idx_type nc = cols (); | |
| 458 | 2845 |
| 2846 if (nr > 0 && nc > 0) | |
| 2847 { | |
| 2848 result.resize (nr); | |
| 4587 | 2849 idx_arg.resize (nr); |
| 458 | 2850 |
| 5275 | 2851 for (octave_idx_type i = 0; i < nr; i++) |
| 458 | 2852 { |
| 5275 | 2853 octave_idx_type idx_j; |
| 4469 | 2854 |
| 2855 double tmp_min = octave_NaN; | |
| 2856 | |
| 2857 for (idx_j = 0; idx_j < nc; idx_j++) | |
| 2354 | 2858 { |
| 4469 | 2859 tmp_min = elem (i, idx_j); |
| 2860 | |
| 5389 | 2861 if (! xisnan (tmp_min)) |
| 4469 | 2862 break; |
| 2863 } | |
| 2864 | |
| 5275 | 2865 for (octave_idx_type j = idx_j+1; j < nc; j++) |
| 4469 | 2866 { |
| 2867 double tmp = elem (i, j); | |
| 2868 | |
| 5389 | 2869 if (xisnan (tmp)) |
| 4469 | 2870 continue; |
| 2871 else if (tmp < tmp_min) | |
| 2354 | 2872 { |
| 4469 | 2873 idx_j = j; |
| 2874 tmp_min = tmp; | |
| 2354 | 2875 } |
| 2876 } | |
| 2877 | |
| 4469 | 2878 result.elem (i) = tmp_min; |
| 5389 | 2879 idx_arg.elem (i) = xisnan (tmp_min) ? 0 : idx_j; |
| 458 | 2880 } |
| 2881 } | |
| 2882 | |
| 2883 return result; | |
| 2884 } | |
| 2885 | |
| 2886 ColumnVector | |
| 2887 Matrix::row_max (void) const | |
| 2888 { | |
| 5275 | 2889 Array<octave_idx_type> dummy_idx; |
| 4587 | 2890 return row_max (dummy_idx); |
| 458 | 2891 } |
| 2892 | |
| 2893 ColumnVector | |
| 5275 | 2894 Matrix::row_max (Array<octave_idx_type>& idx_arg) const |
| 458 | 2895 { |
| 2896 ColumnVector result; | |
| 2897 | |
| 5275 | 2898 octave_idx_type nr = rows (); |
| 2899 octave_idx_type nc = cols (); | |
| 458 | 2900 |
| 2901 if (nr > 0 && nc > 0) | |
| 2902 { | |
| 2903 result.resize (nr); | |
| 4587 | 2904 idx_arg.resize (nr); |
| 458 | 2905 |
| 5275 | 2906 for (octave_idx_type i = 0; i < nr; i++) |
| 458 | 2907 { |
| 5275 | 2908 octave_idx_type idx_j; |
| 4469 | 2909 |
| 2910 double tmp_max = octave_NaN; | |
| 2911 | |
| 2912 for (idx_j = 0; idx_j < nc; idx_j++) | |
| 2354 | 2913 { |
| 4469 | 2914 tmp_max = elem (i, idx_j); |
| 2915 | |
| 5389 | 2916 if (! xisnan (tmp_max)) |
| 4469 | 2917 break; |
| 2918 } | |
| 2919 | |
| 5275 | 2920 for (octave_idx_type j = idx_j+1; j < nc; j++) |
| 4469 | 2921 { |
| 2922 double tmp = elem (i, j); | |
| 2923 | |
| 5389 | 2924 if (xisnan (tmp)) |
| 4469 | 2925 continue; |
| 2926 else if (tmp > tmp_max) | |
| 2354 | 2927 { |
| 4469 | 2928 idx_j = j; |
| 2929 tmp_max = tmp; | |
| 2354 | 2930 } |
| 2931 } | |
| 2932 | |
| 4469 | 2933 result.elem (i) = tmp_max; |
| 5389 | 2934 idx_arg.elem (i) = xisnan (tmp_max) ? 0 : idx_j; |
| 458 | 2935 } |
| 2936 } | |
| 2937 | |
| 2938 return result; | |
| 2939 } | |
| 2940 | |
| 2941 RowVector | |
| 2942 Matrix::column_min (void) const | |
| 2943 { | |
| 5275 | 2944 Array<octave_idx_type> dummy_idx; |
| 4587 | 2945 return column_min (dummy_idx); |
| 458 | 2946 } |
| 2354 | 2947 |
| 458 | 2948 RowVector |
| 5275 | 2949 Matrix::column_min (Array<octave_idx_type>& idx_arg) const |
| 458 | 2950 { |
| 2951 RowVector result; | |
| 2952 | |
| 5275 | 2953 octave_idx_type nr = rows (); |
| 2954 octave_idx_type nc = cols (); | |
| 458 | 2955 |
| 2956 if (nr > 0 && nc > 0) | |
| 2957 { | |
| 2958 result.resize (nc); | |
| 4587 | 2959 idx_arg.resize (nc); |
| 458 | 2960 |
| 5275 | 2961 for (octave_idx_type j = 0; j < nc; j++) |
| 458 | 2962 { |
| 5275 | 2963 octave_idx_type idx_i; |
| 4469 | 2964 |
| 2965 double tmp_min = octave_NaN; | |
| 2966 | |
| 2967 for (idx_i = 0; idx_i < nr; idx_i++) | |
| 2354 | 2968 { |
| 4469 | 2969 tmp_min = elem (idx_i, j); |
| 2970 | |
| 5389 | 2971 if (! xisnan (tmp_min)) |
| 4469 | 2972 break; |
| 2973 } | |
| 2974 | |
| 5275 | 2975 for (octave_idx_type i = idx_i+1; i < nr; i++) |
| 4469 | 2976 { |
| 2977 double tmp = elem (i, j); | |
| 2978 | |
| 5389 | 2979 if (xisnan (tmp)) |
| 4469 | 2980 continue; |
| 2981 else if (tmp < tmp_min) | |
| 2354 | 2982 { |
| 4469 | 2983 idx_i = i; |
| 2984 tmp_min = tmp; | |
| 2354 | 2985 } |
| 2986 } | |
| 2987 | |
| 4469 | 2988 result.elem (j) = tmp_min; |
| 5389 | 2989 idx_arg.elem (j) = xisnan (tmp_min) ? 0 : idx_i; |
| 458 | 2990 } |
| 2991 } | |
| 2992 | |
| 2993 return result; | |
| 2994 } | |
| 2995 | |
| 2354 | 2996 RowVector |
| 2997 Matrix::column_max (void) const | |
| 2998 { | |
| 5275 | 2999 Array<octave_idx_type> dummy_idx; |
| 4587 | 3000 return column_max (dummy_idx); |
| 2354 | 3001 } |
| 458 | 3002 |
| 3003 RowVector | |
| 5275 | 3004 Matrix::column_max (Array<octave_idx_type>& idx_arg) const |
| 458 | 3005 { |
| 3006 RowVector result; | |
| 3007 | |
| 5275 | 3008 octave_idx_type nr = rows (); |
| 3009 octave_idx_type nc = cols (); | |
| 458 | 3010 |
| 3011 if (nr > 0 && nc > 0) | |
| 3012 { | |
| 3013 result.resize (nc); | |
| 4587 | 3014 idx_arg.resize (nc); |
| 458 | 3015 |
| 5275 | 3016 for (octave_idx_type j = 0; j < nc; j++) |
| 458 | 3017 { |
| 5275 | 3018 octave_idx_type idx_i; |
| 4469 | 3019 |
| 3020 double tmp_max = octave_NaN; | |
| 3021 | |
| 3022 for (idx_i = 0; idx_i < nr; idx_i++) | |
| 2354 | 3023 { |
| 4469 | 3024 tmp_max = elem (idx_i, j); |
| 3025 | |
| 5389 | 3026 if (! xisnan (tmp_max)) |
| 4469 | 3027 break; |
| 3028 } | |
| 3029 | |
| 5275 | 3030 for (octave_idx_type i = idx_i+1; i < nr; i++) |
| 4469 | 3031 { |
| 3032 double tmp = elem (i, j); | |
| 3033 | |
| 5389 | 3034 if (xisnan (tmp)) |
| 4469 | 3035 continue; |
| 3036 else if (tmp > tmp_max) | |
| 2354 | 3037 { |
| 4469 | 3038 idx_i = i; |
| 3039 tmp_max = tmp; | |
| 2354 | 3040 } |
| 3041 } | |
| 3042 | |
| 4469 | 3043 result.elem (j) = tmp_max; |
| 5389 | 3044 idx_arg.elem (j) = xisnan (tmp_max) ? 0 : idx_i; |
| 458 | 3045 } |
| 3046 } | |
| 3047 | |
| 3048 return result; | |
| 3049 } | |
| 3050 | |
| 3504 | 3051 std::ostream& |
| 3052 operator << (std::ostream& os, const Matrix& a) | |
| 458 | 3053 { |
| 5275 | 3054 for (octave_idx_type i = 0; i < a.rows (); i++) |
| 458 | 3055 { |
| 5275 | 3056 for (octave_idx_type j = 0; j < a.cols (); j++) |
| 4130 | 3057 { |
| 3058 os << " "; | |
| 3059 octave_write_double (os, a.elem (i, j)); | |
| 3060 } | |
| 458 | 3061 os << "\n"; |
| 3062 } | |
| 3063 return os; | |
| 3064 } | |
| 3065 | |
| 3504 | 3066 std::istream& |
| 3067 operator >> (std::istream& is, Matrix& a) | |
| 458 | 3068 { |
| 5275 | 3069 octave_idx_type nr = a.rows (); |
| 3070 octave_idx_type nc = a.cols (); | |
| 458 | 3071 |
|
8999
dc07bc4157b8
allow empty matrices in stream input operators
Jaroslav Hajek <highegg@gmail.com>
parents:
8956
diff
changeset
|
3072 if (nr > 0 && nc > 0) |
| 458 | 3073 { |
| 3074 double tmp; | |
| 5275 | 3075 for (octave_idx_type i = 0; i < nr; i++) |
| 3076 for (octave_idx_type j = 0; j < nc; j++) | |
| 458 | 3077 { |
|
9469
c6edba80dfae
sanity checks for loading sparse matrices
John W. Eaton <jwe@octave.org>
parents:
9359
diff
changeset
|
3078 tmp = octave_read_value<double> (is); |
| 458 | 3079 if (is) |
| 3080 a.elem (i, j) = tmp; | |
| 3081 else | |
| 2795 | 3082 goto done; |
| 458 | 3083 } |
| 3084 } | |
| 3085 | |
| 2795 | 3086 done: |
| 3087 | |
| 458 | 3088 return is; |
| 3089 } | |
| 3090 | |
| 1819 | 3091 Matrix |
| 3092 Givens (double x, double y) | |
| 3093 { | |
| 3094 double cc, s, temp_r; | |
| 3095 | |
| 3887 | 3096 F77_FUNC (dlartg, DLARTG) (x, y, cc, s, temp_r); |
| 1819 | 3097 |
| 3098 Matrix g (2, 2); | |
| 3099 | |
| 3100 g.elem (0, 0) = cc; | |
| 3101 g.elem (1, 1) = cc; | |
| 3102 g.elem (0, 1) = s; | |
| 3103 g.elem (1, 0) = -s; | |
| 3104 | |
| 3105 return g; | |
| 3106 } | |
| 3107 | |
| 3108 Matrix | |
| 3109 Sylvester (const Matrix& a, const Matrix& b, const Matrix& c) | |
| 3110 { | |
| 3111 Matrix retval; | |
| 3112 | |
| 5775 | 3113 // FIXME -- need to check that a, b, and c are all the same |
| 1819 | 3114 // size. |
| 3115 | |
| 3116 // Compute Schur decompositions. | |
| 3117 | |
| 3118 SCHUR as (a, "U"); | |
| 3119 SCHUR bs (b, "U"); | |
| 3120 | |
| 3121 // Transform c to new coordinates. | |
| 3122 | |
| 3123 Matrix ua = as.unitary_matrix (); | |
| 3124 Matrix sch_a = as.schur_matrix (); | |
| 3125 | |
| 3126 Matrix ub = bs.unitary_matrix (); | |
| 3127 Matrix sch_b = bs.schur_matrix (); | |
| 3128 | |
| 3129 Matrix cx = ua.transpose () * c * ub; | |
| 3130 | |
| 3131 // Solve the sylvester equation, back-transform, and return the | |
| 3132 // solution. | |
| 3133 | |
| 5275 | 3134 octave_idx_type a_nr = a.rows (); |
| 3135 octave_idx_type b_nr = b.rows (); | |
| 1819 | 3136 |
| 3137 double scale; | |
| 5275 | 3138 octave_idx_type info; |
| 1819 | 3139 |
| 1950 | 3140 double *pa = sch_a.fortran_vec (); |
| 3141 double *pb = sch_b.fortran_vec (); | |
| 3142 double *px = cx.fortran_vec (); | |
| 3143 | |
| 4552 | 3144 F77_XFCN (dtrsyl, DTRSYL, (F77_CONST_CHAR_ARG2 ("N", 1), |
| 3145 F77_CONST_CHAR_ARG2 ("N", 1), | |
| 3146 1, a_nr, b_nr, pa, a_nr, pb, | |
| 3147 b_nr, px, a_nr, scale, info | |
| 3148 F77_CHAR_ARG_LEN (1) | |
| 3149 F77_CHAR_ARG_LEN (1))); | |
| 1950 | 3150 |
| 3151 | |
|
7482
29980c6b8604
don't check f77_exception_encountered
John W. Eaton <jwe@octave.org>
parents:
7478
diff
changeset
|
3152 // FIXME -- check info? |
| 1819 | 3153 |
|
7482
29980c6b8604
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John W. Eaton <jwe@octave.org>
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7478
diff
changeset
|
3154 retval = -ua*cx*ub.transpose (); |
| 1819 | 3155 |
| 3156 return retval; | |
| 3157 } | |
| 3158 | |
| 2828 | 3159 // matrix by matrix -> matrix operations |
| 3160 | |
| 6162 | 3161 /* Simple Dot Product, Matrix-Vector and Matrix-Matrix Unit tests |
| 3162 %!assert([1 2 3] * [ 4 ; 5 ; 6], 32, 1e-14) | |
| 3163 %!assert([1 2 ; 3 4 ] * [5 ; 6], [17 ; 39 ], 1e-14) | |
| 3164 %!assert([1 2 ; 3 4 ] * [5 6 ; 7 8], [19 22; 43 50], 1e-14) | |
| 3165 */ | |
| 3166 | |
| 3167 /* Test some simple identities | |
| 3168 %!shared M, cv, rv | |
| 3169 %! M = randn(10,10); | |
| 3170 %! cv = randn(10,1); | |
| 3171 %! rv = randn(1,10); | |
| 3172 %!assert([M*cv,M*cv],M*[cv,cv],1e-14) | |
|
9528
ec066ba012c8
more fixes & tests for matrix multiply
Jaroslav Hajek <highegg@gmail.com>
parents:
9523
diff
changeset
|
3173 %!assert([M'*cv,M'*cv],M'*[cv,cv],1e-14) |
| 6162 | 3174 %!assert([rv*M;rv*M],[rv;rv]*M,1e-14) |
|
9528
ec066ba012c8
more fixes & tests for matrix multiply
Jaroslav Hajek <highegg@gmail.com>
parents:
9523
diff
changeset
|
3175 %!assert([rv*M';rv*M'],[rv;rv]*M',1e-14) |
| 6162 | 3176 %!assert(2*rv*cv,[rv,rv]*[cv;cv],1e-14) |
| 3177 */ | |
| 3178 | |
|
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
|
3179 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
|
3180 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
|
3181 { |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3182 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
|
3183 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
|
3184 } |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3185 |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3186 // 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
|
3187 |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3188 Matrix |
|
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9662
diff
changeset
|
3189 xgemm (const Matrix& a, const Matrix& b, |
|
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9662
diff
changeset
|
3190 blas_trans_type transa, blas_trans_type transb) |
| 2828 | 3191 { |
| 3192 Matrix retval; | |
| 3193 | |
|
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9662
diff
changeset
|
3194 bool tra = transa != blas_no_trans, trb = transb != blas_no_trans; |
|
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9662
diff
changeset
|
3195 |
|
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9662
diff
changeset
|
3196 octave_idx_type a_nr = tra ? a.cols () : a.rows (); |
|
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9662
diff
changeset
|
3197 octave_idx_type a_nc = tra ? a.rows () : a.cols (); |
|
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9662
diff
changeset
|
3198 |
|
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9662
diff
changeset
|
3199 octave_idx_type b_nr = trb ? b.cols () : b.rows (); |
|
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9662
diff
changeset
|
3200 octave_idx_type b_nc = trb ? b.rows () : b.cols (); |
|
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
|
3201 |
|
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3202 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
|
3203 gripe_nonconformant ("operator *", a_nr, a_nc, b_nr, b_nc); |
| 2828 | 3204 else |
| 3205 { | |
|
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
|
3206 if (a_nr == 0 || a_nc == 0 || b_nc == 0) |
|
9359
be6867ba8104
avoid useless zero initialization when doing matrix multiply
Jaroslav Hajek <highegg@gmail.com>
parents:
9227
diff
changeset
|
3207 retval = Matrix (a_nr, b_nc, 0.0); |
|
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9662
diff
changeset
|
3208 else if (a.data () == b.data () && a_nr == b_nc && tra != trb) |
|
7801
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3209 { |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3210 octave_idx_type lda = a.rows (); |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3211 |
|
9359
be6867ba8104
avoid useless zero initialization when doing matrix multiply
Jaroslav Hajek <highegg@gmail.com>
parents:
9227
diff
changeset
|
3212 retval = Matrix (a_nr, b_nc); |
|
7801
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3213 double *c = retval.fortran_vec (); |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3214 |
|
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9662
diff
changeset
|
3215 const char *ctra = get_blas_trans_arg (tra); |
|
7801
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3216 F77_XFCN (dsyrk, DSYRK, (F77_CONST_CHAR_ARG2 ("U", 1), |
|
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9662
diff
changeset
|
3217 F77_CONST_CHAR_ARG2 (ctra, 1), |
|
7801
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3218 a_nr, a_nc, 1.0, |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3219 a.data (), lda, 0.0, c, a_nr |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3220 F77_CHAR_ARG_LEN (1) |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3221 F77_CHAR_ARG_LEN (1))); |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3222 for (int j = 0; j < a_nr; j++) |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3223 for (int i = 0; i < j; i++) |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3224 retval.xelem (j,i) = retval.xelem (i,j); |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3225 |
|
776791438957
map symmetric cases to xHERK, xSYRK
Jaroslav Hajek <highegg@gmail.com>
parents:
7800
diff
changeset
|
3226 } |
| 2828 | 3227 else |
| 3228 { | |
|
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
|
3229 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
|
3230 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
|
3231 |
|
9359
be6867ba8104
avoid useless zero initialization when doing matrix multiply
Jaroslav Hajek <highegg@gmail.com>
parents:
9227
diff
changeset
|
3232 retval = Matrix (a_nr, b_nc); |
| 2828 | 3233 double *c = retval.fortran_vec (); |
| 3234 | |
|
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
|
3235 if (b_nc == 1) |
| 5983 | 3236 { |
|
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
|
3237 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
|
3238 F77_FUNC (xddot, XDDOT) (a_nc, a.data (), 1, b.data (), 1, *c); |
| 5983 | 3239 else |
| 6390 | 3240 { |
|
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9662
diff
changeset
|
3241 const char *ctra = get_blas_trans_arg (tra); |
|
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9662
diff
changeset
|
3242 F77_XFCN (dgemv, DGEMV, (F77_CONST_CHAR_ARG2 (ctra, 1), |
|
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
|
3243 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
|
3244 b.data (), 1, 0.0, c, 1 |
| 6390 | 3245 F77_CHAR_ARG_LEN (1))); |
| 3246 } | |
| 5983 | 3247 } |
|
7800
5861b95e9879
support for compound operators, implement trans_mul, mul_trans, herm_mul and mul_herm
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
3248 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
|
3249 { |
|
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9662
diff
changeset
|
3250 const char *crevtrb = get_blas_trans_arg (! trb); |
|
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9662
diff
changeset
|
3251 F77_XFCN (dgemv, DGEMV, (F77_CONST_CHAR_ARG2 (crevtrb, 1), |
|
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
|
3252 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
|
3253 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
|
3254 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
|
3255 } |
| 5983 | 3256 else |
| 6390 | 3257 { |
|
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9662
diff
changeset
|
3258 const char *ctra = get_blas_trans_arg (tra); |
|
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9662
diff
changeset
|
3259 const char *ctrb = get_blas_trans_arg (trb); |
|
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9662
diff
changeset
|
3260 F77_XFCN (dgemm, DGEMM, (F77_CONST_CHAR_ARG2 (ctra, 1), |
|
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9662
diff
changeset
|
3261 F77_CONST_CHAR_ARG2 (ctrb, 1), |
|
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
|
3262 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
|
3263 lda, b.data (), ldb, 0.0, c, a_nr |
| 6390 | 3264 F77_CHAR_ARG_LEN (1) |
| 3265 F77_CHAR_ARG_LEN (1))); | |
| 3266 } | |
| 2828 | 3267 } |
| 3268 } | |
| 3269 | |
| 3270 return retval; | |
| 3271 } | |
| 3272 | |
|
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
|
3273 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
|
3274 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
|
3275 { |
|
9665
1dba57e9d08d
use blas_trans_type for xgemm
Jaroslav Hajek <highegg@gmail.com>
parents:
9662
diff
changeset
|
3276 return xgemm (a, b); |
|
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
|
3277 } |
|
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 |
| 5775 | 3279 // FIXME -- it would be nice to share code among the min/max |
| 4309 | 3280 // functions below. |
| 3281 | |
| 3282 #define EMPTY_RETURN_CHECK(T) \ | |
| 3283 if (nr == 0 || nc == 0) \ | |
| 3284 return T (nr, nc); | |
| 3285 | |
| 3286 Matrix | |
| 3287 min (double d, const Matrix& m) | |
| 3288 { | |
| 5275 | 3289 octave_idx_type nr = m.rows (); |
| 3290 octave_idx_type nc = m.columns (); | |
| 4309 | 3291 |
| 3292 EMPTY_RETURN_CHECK (Matrix); | |
| 3293 | |
| 3294 Matrix result (nr, nc); | |
| 3295 | |
| 5275 | 3296 for (octave_idx_type j = 0; j < nc; j++) |
| 3297 for (octave_idx_type i = 0; i < nr; i++) | |
| 4309 | 3298 { |
| 3299 OCTAVE_QUIT; | |
| 3300 result (i, j) = xmin (d, m (i, j)); | |
| 3301 } | |
| 3302 | |
| 3303 return result; | |
| 3304 } | |
| 3305 | |
| 3306 Matrix | |
| 3307 min (const Matrix& m, double d) | |
| 3308 { | |
| 5275 | 3309 octave_idx_type nr = m.rows (); |
| 3310 octave_idx_type nc = m.columns (); | |
| 4309 | 3311 |
| 3312 EMPTY_RETURN_CHECK (Matrix); | |
| 3313 | |
| 3314 Matrix result (nr, nc); | |
| 3315 | |
| 5275 | 3316 for (octave_idx_type j = 0; j < nc; j++) |
| 3317 for (octave_idx_type i = 0; i < nr; i++) | |
| 4309 | 3318 { |
| 3319 OCTAVE_QUIT; | |
| 3320 result (i, j) = xmin (m (i, j), d); | |
| 3321 } | |
| 3322 | |
| 3323 return result; | |
| 3324 } | |
| 3325 | |
| 3326 Matrix | |
| 3327 min (const Matrix& a, const Matrix& b) | |
| 3328 { | |
| 5275 | 3329 octave_idx_type nr = a.rows (); |
| 3330 octave_idx_type nc = a.columns (); | |
| 4309 | 3331 |
| 3332 if (nr != b.rows () || nc != b.columns ()) | |
| 3333 { | |
| 3334 (*current_liboctave_error_handler) | |
| 3335 ("two-arg min expecting args of same size"); | |
| 3336 return Matrix (); | |
| 3337 } | |
| 3338 | |
| 3339 EMPTY_RETURN_CHECK (Matrix); | |
| 3340 | |
| 3341 Matrix result (nr, nc); | |
| 3342 | |
| 5275 | 3343 for (octave_idx_type j = 0; j < nc; j++) |
| 3344 for (octave_idx_type i = 0; i < nr; i++) | |
| 4309 | 3345 { |
| 3346 OCTAVE_QUIT; | |
| 3347 result (i, j) = xmin (a (i, j), b (i, j)); | |
| 3348 } | |
| 3349 | |
| 3350 return result; | |
| 3351 } | |
| 3352 | |
| 3353 Matrix | |
| 3354 max (double d, const Matrix& m) | |
| 3355 { | |
| 5275 | 3356 octave_idx_type nr = m.rows (); |
| 3357 octave_idx_type nc = m.columns (); | |
| 4309 | 3358 |
| 3359 EMPTY_RETURN_CHECK (Matrix); | |
| 3360 | |
| 3361 Matrix result (nr, nc); | |
| 3362 | |
| 5275 | 3363 for (octave_idx_type j = 0; j < nc; j++) |
| 3364 for (octave_idx_type i = 0; i < nr; i++) | |
| 4309 | 3365 { |
| 3366 OCTAVE_QUIT; | |
| 3367 result (i, j) = xmax (d, m (i, j)); | |
| 3368 } | |
| 3369 | |
| 3370 return result; | |
| 3371 } | |
| 3372 | |
| 3373 Matrix | |
| 3374 max (const Matrix& m, double d) | |
| 3375 { | |
| 5275 | 3376 octave_idx_type nr = m.rows (); |
| 3377 octave_idx_type nc = m.columns (); | |
| 4309 | 3378 |
| 3379 EMPTY_RETURN_CHECK (Matrix); | |
| 3380 | |
| 3381 Matrix result (nr, nc); | |
| 3382 | |
| 5275 | 3383 for (octave_idx_type j = 0; j < nc; j++) |
| 3384 for (octave_idx_type i = 0; i < nr; i++) | |
| 4309 | 3385 { |
| 3386 OCTAVE_QUIT; | |
| 3387 result (i, j) = xmax (m (i, j), d); | |
| 3388 } | |
| 3389 | |
| 3390 return result; | |
| 3391 } | |
| 3392 | |
| 3393 Matrix | |
| 3394 max (const Matrix& a, const Matrix& b) | |
| 3395 { | |
| 5275 | 3396 octave_idx_type nr = a.rows (); |
| 3397 octave_idx_type nc = a.columns (); | |
| 4309 | 3398 |
| 3399 if (nr != b.rows () || nc != b.columns ()) | |
| 3400 { | |
| 3401 (*current_liboctave_error_handler) | |
| 3402 ("two-arg max expecting args of same size"); | |
| 3403 return Matrix (); | |
| 3404 } | |
| 3405 | |
| 3406 EMPTY_RETURN_CHECK (Matrix); | |
| 3407 | |
| 3408 Matrix result (nr, nc); | |
| 3409 | |
| 5275 | 3410 for (octave_idx_type j = 0; j < nc; j++) |
| 3411 for (octave_idx_type i = 0; i < nr; i++) | |
| 4309 | 3412 { |
| 3413 OCTAVE_QUIT; | |
| 3414 result (i, j) = xmax (a (i, j), b (i, j)); | |
| 3415 } | |
| 3416 | |
| 3417 return result; | |
| 3418 } | |
| 3419 | |
|
9653
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parents:
9601
diff
changeset
|
3420 Matrix linspace (const ColumnVector& x1, |
|
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improve linspace in liboctave
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parents:
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diff
changeset
|
3421 const ColumnVector& x2, |
|
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parents:
9601
diff
changeset
|
3422 octave_idx_type n) |
|
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improve linspace in liboctave
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parents:
9601
diff
changeset
|
3423 |
|
e087d7c77ff9
improve linspace in liboctave
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parents:
9601
diff
changeset
|
3424 { |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
3425 if (n < 1) n = 1; |
|
e087d7c77ff9
improve linspace in liboctave
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parents:
9601
diff
changeset
|
3426 |
|
e087d7c77ff9
improve linspace in liboctave
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parents:
9601
diff
changeset
|
3427 octave_idx_type m = x1.length (); |
|
e087d7c77ff9
improve linspace in liboctave
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parents:
9601
diff
changeset
|
3428 |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
3429 if (x2.length () != m) |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
3430 (*current_liboctave_error_handler) ("linspace: vectors must be of equal length"); |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
3431 |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
3432 NoAlias<Matrix> retval; |
|
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improve linspace in liboctave
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parents:
9601
diff
changeset
|
3433 |
|
e087d7c77ff9
improve linspace in liboctave
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parents:
9601
diff
changeset
|
3434 retval.clear (m, n); |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
3435 for (octave_idx_type i = 0; i < m; i++) |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
3436 retval(i, 0) = x1(i); |
|
e087d7c77ff9
improve linspace in liboctave
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parents:
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diff
changeset
|
3437 |
|
e087d7c77ff9
improve linspace in liboctave
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parents:
9601
diff
changeset
|
3438 // The last column is not needed while using delta. |
|
9658
3429c956de6f
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Jaroslav Hajek <highegg@gmail.com>
parents:
9653
diff
changeset
|
3439 double *delta = &retval(0, n-1); |
|
9653
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
3440 for (octave_idx_type i = 0; i < m; i++) |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
3441 delta[i] = (x2(i) - x1(i)) / (n - 1); |
|
e087d7c77ff9
improve linspace in liboctave
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parents:
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|
3442 |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
3443 for (octave_idx_type j = 1; j < n-1; j++) |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
3444 for (octave_idx_type i = 0; i < m; i++) |
|
9658
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Jaroslav Hajek <highegg@gmail.com>
parents:
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diff
changeset
|
3445 retval(i, j) = x1(i) + j*delta[i]; |
|
9653
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parents:
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diff
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|
3446 |
|
e087d7c77ff9
improve linspace in liboctave
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parents:
9601
diff
changeset
|
3447 for (octave_idx_type i = 0; i < m; i++) |
|
e087d7c77ff9
improve linspace in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9601
diff
changeset
|
3448 retval(i, n-1) = x2(i); |
|
e087d7c77ff9
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parents:
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|
3449 |
|
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parents:
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changeset
|
3450 return retval; |
|
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parents:
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diff
changeset
|
3451 } |
|
e087d7c77ff9
improve linspace in liboctave
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parents:
9601
diff
changeset
|
3452 |
|
9578
7dafdb8b062f
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parents:
9553
diff
changeset
|
3453 MS_CMP_OPS (Matrix, double) |
|
9550
3d6a9aea2aea
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parents:
9528
diff
changeset
|
3454 MS_BOOL_OPS (Matrix, double) |
| 2870 | 3455 |
|
9578
7dafdb8b062f
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parents:
9553
diff
changeset
|
3456 SM_CMP_OPS (double, Matrix) |
|
9550
3d6a9aea2aea
refactor binary & bool ops in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9528
diff
changeset
|
3457 SM_BOOL_OPS (double, Matrix) |
| 2870 | 3458 |
|
9578
7dafdb8b062f
refactor comparison ops implementations
Jaroslav Hajek <highegg@gmail.com>
parents:
9553
diff
changeset
|
3459 MM_CMP_OPS (Matrix, Matrix) |
|
9550
3d6a9aea2aea
refactor binary & bool ops in liboctave
Jaroslav Hajek <highegg@gmail.com>
parents:
9528
diff
changeset
|
3460 MM_BOOL_OPS (Matrix, Matrix) |
| 2870 | 3461 |
| 458 | 3462 /* |
| 3463 ;;; Local Variables: *** | |
| 3464 ;;; mode: C++ *** | |
| 3465 ;;; End: *** | |
| 3466 */ |