Mercurial > hg > octave-lyh
annotate liboctave/dMatrix.h @ 8650:a1ae2aae903e
abs,real,imag,conj: use code from mx-inlines rather than the generic map
| author | Jaroslav Hajek <highegg@gmail.com> |
|---|---|
| date | Mon, 02 Feb 2009 15:35:32 +0100 |
| parents | c187f0e3a7ee |
| children | b756ce0002db |
| rev | line source |
|---|---|
| 458 | 1 /* |
| 2 | |
| 7017 | 3 Copyright (C) 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2002, 2003, |
| 4 2004, 2005, 2006, 2007 John W. Eaton | |
| 458 | 5 |
| 6 This file is part of Octave. | |
| 7 | |
| 8 Octave is free software; you can redistribute it and/or modify it | |
| 9 under the terms of the GNU General Public License as published by the | |
| 7016 | 10 Free Software Foundation; either version 3 of the License, or (at your |
| 11 option) any later version. | |
| 458 | 12 |
| 13 Octave is distributed in the hope that it will be useful, but WITHOUT | |
| 14 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or | |
| 15 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License | |
| 16 for more details. | |
| 17 | |
| 18 You should have received a copy of the GNU General Public License | |
| 7016 | 19 along with Octave; see the file COPYING. If not, see |
| 20 <http://www.gnu.org/licenses/>. | |
| 458 | 21 |
| 22 */ | |
| 23 | |
| 24 #if !defined (octave_Matrix_int_h) | |
| 25 #define octave_Matrix_int_h 1 | |
| 26 | |
| 1989 | 27 #include "MArray2.h" |
| 28 #include "MDiagArray2.h" | |
| 5785 | 29 #include "MatrixType.h" |
| 458 | 30 |
| 31 #include "mx-defs.h" | |
| 2870 | 32 #include "mx-op-defs.h" |
| 8335 | 33 #include "DET.h" |
| 458 | 34 |
| 3585 | 35 class |
| 6108 | 36 OCTAVE_API |
| 3585 | 37 Matrix : public MArray2<double> |
| 458 | 38 { |
| 39 public: | |
| 40 | |
| 7788 | 41 typedef void (*solve_singularity_handler) (double rcon); |
| 3480 | 42 |
| 1214 | 43 Matrix (void) : MArray2<double> () { } |
| 3585 | 44 |
| 5275 | 45 Matrix (octave_idx_type r, octave_idx_type c) : MArray2<double> (r, c) { } |
| 3585 | 46 |
| 5275 | 47 Matrix (octave_idx_type r, octave_idx_type c, double val) : MArray2<double> (r, c, val) { } |
| 3585 | 48 |
| 6979 | 49 Matrix (const dim_vector& dv) : MArray2<double> (dv) { } |
| 50 | |
| 51 Matrix (const dim_vector& dv, double val) : MArray2<double> (dv, val) { } | |
| 52 | |
| 1214 | 53 Matrix (const Matrix& a) : MArray2<double> (a) { } |
| 3585 | 54 |
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55 template <class U> |
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56 Matrix (const MArray2<U>& a) : MArray2<double> (a) { } |
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57 |
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58 template <class U> |
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59 Matrix (const Array2<U>& a) : MArray2<double> (a) { } |
| 3585 | 60 |
| 61 explicit Matrix (const RowVector& rv); | |
| 458 | 62 |
| 3585 | 63 explicit Matrix (const ColumnVector& cv); |
| 64 | |
| 65 explicit Matrix (const DiagMatrix& a); | |
| 66 | |
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67 explicit Matrix (const PermMatrix& a); |
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68 |
| 3585 | 69 explicit Matrix (const boolMatrix& a); |
| 70 | |
| 71 explicit Matrix (const charMatrix& a); | |
| 1574 | 72 |
| 458 | 73 Matrix& operator = (const Matrix& a) |
| 74 { | |
| 1214 | 75 MArray2<double>::operator = (a); |
| 458 | 76 return *this; |
| 77 } | |
| 78 | |
| 2385 | 79 bool operator == (const Matrix& a) const; |
| 80 bool operator != (const Matrix& a) const; | |
| 458 | 81 |
| 3354 | 82 bool is_symmetric (void) const; |
| 83 | |
| 1359 | 84 // destructive insert/delete/reorder operations |
| 458 | 85 |
| 5275 | 86 Matrix& insert (const Matrix& a, octave_idx_type r, octave_idx_type c); |
| 87 Matrix& insert (const RowVector& a, octave_idx_type r, octave_idx_type c); | |
| 88 Matrix& insert (const ColumnVector& a, octave_idx_type r, octave_idx_type c); | |
| 89 Matrix& insert (const DiagMatrix& a, octave_idx_type r, octave_idx_type c); | |
| 458 | 90 |
| 91 Matrix& fill (double val); | |
| 5275 | 92 Matrix& fill (double val, octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2); |
| 458 | 93 |
| 94 Matrix append (const Matrix& a) const; | |
| 95 Matrix append (const RowVector& a) const; | |
| 96 Matrix append (const ColumnVector& a) const; | |
| 97 Matrix append (const DiagMatrix& a) const; | |
| 98 | |
| 99 Matrix stack (const Matrix& a) const; | |
| 100 Matrix stack (const RowVector& a) const; | |
| 101 Matrix stack (const ColumnVector& a) const; | |
| 102 Matrix stack (const DiagMatrix& a) const; | |
| 103 | |
| 6108 | 104 friend OCTAVE_API Matrix real (const ComplexMatrix& a); |
| 105 friend OCTAVE_API Matrix imag (const ComplexMatrix& a); | |
| 1205 | 106 |
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107 friend class ComplexMatrix; |
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108 |
| 3225 | 109 Matrix transpose (void) const { return MArray2<double>::transpose (); } |
| 110 | |
| 1359 | 111 // resize is the destructive equivalent for this one |
| 458 | 112 |
| 5275 | 113 Matrix extract (octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2) const; |
| 458 | 114 |
| 5275 | 115 Matrix extract_n (octave_idx_type r1, octave_idx_type c1, octave_idx_type nr, octave_idx_type nc) const; |
| 4316 | 116 |
| 1359 | 117 // extract row or column i. |
| 458 | 118 |
| 5275 | 119 RowVector row (octave_idx_type i) const; |
| 458 | 120 |
| 5275 | 121 ColumnVector column (octave_idx_type i) const; |
| 458 | 122 |
| 6207 | 123 private: |
| 7788 | 124 Matrix tinverse (MatrixType &mattype, octave_idx_type& info, double& rcon, |
| 6207 | 125 int force, int calc_cond) const; |
| 126 | |
| 7788 | 127 Matrix finverse (MatrixType &mattype, octave_idx_type& info, double& rcon, |
| 6207 | 128 int force, int calc_cond) const; |
| 129 | |
| 130 public: | |
| 458 | 131 Matrix inverse (void) const; |
| 6479 | 132 Matrix inverse (octave_idx_type& info) const; |
| 7788 | 133 Matrix inverse (octave_idx_type& info, double& rcon, int force = 0, |
| 6479 | 134 int calc_cond = 1) const; |
| 135 | |
| 6207 | 136 Matrix inverse (MatrixType &mattype) const; |
| 137 Matrix inverse (MatrixType &mattype, octave_idx_type& info) const; | |
| 7788 | 138 Matrix inverse (MatrixType &mattype, octave_idx_type& info, double& rcon, |
| 6207 | 139 int force = 0, int calc_cond = 1) const; |
| 458 | 140 |
| 4384 | 141 Matrix pseudo_inverse (double tol = 0.0) const; |
| 740 | 142 |
| 458 | 143 ComplexMatrix fourier (void) const; |
| 144 ComplexMatrix ifourier (void) const; | |
| 145 | |
| 677 | 146 ComplexMatrix fourier2d (void) const; |
| 147 ComplexMatrix ifourier2d (void) const; | |
| 148 | |
| 458 | 149 DET determinant (void) const; |
| 5275 | 150 DET determinant (octave_idx_type& info) const; |
| 7788 | 151 DET determinant (octave_idx_type& info, double& rcon, int calc_cond = 1) const; |
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152 DET determinant (MatrixType &mattype, octave_idx_type& info, |
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153 double& rcon, int calc_cond = 1) const; |
| 7788 | 154 |
| 155 double rcond (void) const; | |
| 156 double rcond (MatrixType &mattype) const; | |
| 458 | 157 |
| 5785 | 158 private: |
| 159 // Upper triangular matrix solvers | |
| 160 Matrix utsolve (MatrixType &typ, const Matrix& b, octave_idx_type& info, | |
| 7788 | 161 double& rcon, solve_singularity_handler sing_handler, |
| 5785 | 162 bool calc_cond = false) const; |
| 163 | |
| 164 // Lower triangular matrix solvers | |
| 165 Matrix ltsolve (MatrixType &typ, const Matrix& b, octave_idx_type& info, | |
| 7788 | 166 double& rcon, solve_singularity_handler sing_handler, |
| 5785 | 167 bool calc_cond = false) const; |
| 168 | |
| 169 // Full matrix solvers (lu/cholesky) | |
| 170 Matrix fsolve (MatrixType &typ, const Matrix& b, octave_idx_type& info, | |
| 7788 | 171 double& rcon, solve_singularity_handler sing_handler, |
| 5785 | 172 bool calc_cond = false) const; |
| 173 | |
| 174 public: | |
| 175 // Generic interface to solver with no probing of type | |
| 176 Matrix solve (MatrixType &typ, const Matrix& b) const; | |
| 177 Matrix solve (MatrixType &typ, const Matrix& b, octave_idx_type& info) const; | |
| 178 Matrix solve (MatrixType &typ, const Matrix& b, octave_idx_type& info, | |
| 7788 | 179 double& rcon) const; |
| 5785 | 180 Matrix solve (MatrixType &typ, const Matrix& b, octave_idx_type& info, |
| 7788 | 181 double& rcon, solve_singularity_handler sing_handler, |
| 5785 | 182 bool singular_fallback = true) const; |
| 183 | |
| 184 ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b) const; | |
| 185 ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b, | |
| 186 octave_idx_type& info) const; | |
| 187 ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b, | |
| 7788 | 188 octave_idx_type& info, double& rcon) const; |
| 5785 | 189 ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b, |
| 7788 | 190 octave_idx_type& info, double& rcon, |
| 5785 | 191 solve_singularity_handler sing_handler, |
| 192 bool singular_fallback = true) const; | |
| 193 | |
| 194 ColumnVector solve (MatrixType &typ, const ColumnVector& b) const; | |
| 195 ColumnVector solve (MatrixType &typ, const ColumnVector& b, | |
| 196 octave_idx_type& info) const; | |
| 197 ColumnVector solve (MatrixType &typ, const ColumnVector& b, | |
| 7788 | 198 octave_idx_type& info, double& rcon) const; |
| 5785 | 199 ColumnVector solve (MatrixType &typ, const ColumnVector& b, |
| 7788 | 200 octave_idx_type& info, double& rcon, |
| 5785 | 201 solve_singularity_handler sing_handler) const; |
| 202 | |
| 203 ComplexColumnVector solve (MatrixType &typ, | |
| 204 const ComplexColumnVector& b) const; | |
| 205 ComplexColumnVector solve (MatrixType &typ, const ComplexColumnVector& b, | |
| 206 octave_idx_type& info) const; | |
| 207 ComplexColumnVector solve (MatrixType &typ, const ComplexColumnVector& b, | |
| 7788 | 208 octave_idx_type& info, double& rcon) const; |
| 5785 | 209 ComplexColumnVector solve (MatrixType &typ, const ComplexColumnVector& b, |
| 7788 | 210 octave_idx_type& info, double& rcon, |
| 5785 | 211 solve_singularity_handler sing_handler) const; |
| 212 | |
| 213 // Generic interface to solver with probing of type | |
| 458 | 214 Matrix solve (const Matrix& b) const; |
| 5275 | 215 Matrix solve (const Matrix& b, octave_idx_type& info) const; |
| 7788 | 216 Matrix solve (const Matrix& b, octave_idx_type& info, double& rcon) const; |
| 217 Matrix solve (const Matrix& b, octave_idx_type& info, double& rcon, | |
| 3480 | 218 solve_singularity_handler sing_handler) const; |
| 458 | 219 |
| 220 ComplexMatrix solve (const ComplexMatrix& b) const; | |
| 5275 | 221 ComplexMatrix solve (const ComplexMatrix& b, octave_idx_type& info) const; |
| 7788 | 222 ComplexMatrix solve (const ComplexMatrix& b, octave_idx_type& info, double& rcon) const; |
| 223 ComplexMatrix solve (const ComplexMatrix& b, octave_idx_type& info, double& rcon, | |
| 3480 | 224 solve_singularity_handler sing_handler) const; |
| 458 | 225 |
| 226 ColumnVector solve (const ColumnVector& b) const; | |
| 5275 | 227 ColumnVector solve (const ColumnVector& b, octave_idx_type& info) const; |
| 7788 | 228 ColumnVector solve (const ColumnVector& b, octave_idx_type& info, double& rcon) const; |
| 229 ColumnVector solve (const ColumnVector& b, octave_idx_type& info, double& rcon, | |
| 3480 | 230 solve_singularity_handler sing_handler) const; |
| 458 | 231 |
| 232 ComplexColumnVector solve (const ComplexColumnVector& b) const; | |
| 5275 | 233 ComplexColumnVector solve (const ComplexColumnVector& b, octave_idx_type& info) const; |
| 234 ComplexColumnVector solve (const ComplexColumnVector& b, octave_idx_type& info, | |
| 7788 | 235 double& rcon) const; |
| 5275 | 236 ComplexColumnVector solve (const ComplexColumnVector& b, octave_idx_type& info, |
| 7788 | 237 double& rcon, |
| 3480 | 238 solve_singularity_handler sing_handler) const; |
| 458 | 239 |
| 5785 | 240 // Singular solvers |
| 458 | 241 Matrix lssolve (const Matrix& b) const; |
| 5275 | 242 Matrix lssolve (const Matrix& b, octave_idx_type& info) const; |
| 7076 | 243 Matrix lssolve (const Matrix& b, octave_idx_type& info, |
| 244 octave_idx_type& rank) const; | |
| 245 Matrix lssolve (const Matrix& b, octave_idx_type& info, | |
| 7788 | 246 octave_idx_type& rank, double& rcon) const; |
| 458 | 247 |
| 248 ComplexMatrix lssolve (const ComplexMatrix& b) const; | |
| 5275 | 249 ComplexMatrix lssolve (const ComplexMatrix& b, octave_idx_type& info) const; |
| 250 ComplexMatrix lssolve (const ComplexMatrix& b, octave_idx_type& info, | |
| 251 octave_idx_type& rank) const; | |
| 7076 | 252 ComplexMatrix lssolve (const ComplexMatrix& b, octave_idx_type& info, |
| 7788 | 253 octave_idx_type& rank, double &rcon) const; |
| 458 | 254 |
| 255 ColumnVector lssolve (const ColumnVector& b) const; | |
| 5275 | 256 ColumnVector lssolve (const ColumnVector& b, octave_idx_type& info) const; |
| 7076 | 257 ColumnVector lssolve (const ColumnVector& b, octave_idx_type& info, |
| 258 octave_idx_type& rank) const; | |
| 259 ColumnVector lssolve (const ColumnVector& b, octave_idx_type& info, | |
| 7788 | 260 octave_idx_type& rank, double& rcon) const; |
| 458 | 261 |
| 262 ComplexColumnVector lssolve (const ComplexColumnVector& b) const; | |
| 7076 | 263 ComplexColumnVector lssolve (const ComplexColumnVector& b, |
| 264 octave_idx_type& info) const; | |
| 265 ComplexColumnVector lssolve (const ComplexColumnVector& b, | |
| 266 octave_idx_type& info, | |
| 5275 | 267 octave_idx_type& rank) const; |
| 7076 | 268 ComplexColumnVector lssolve (const ComplexColumnVector& b, |
| 269 octave_idx_type& info, | |
| 7788 | 270 octave_idx_type& rank, double& rcon) const; |
| 458 | 271 |
| 272 Matrix& operator += (const DiagMatrix& a); | |
| 273 Matrix& operator -= (const DiagMatrix& a); | |
| 274 | |
| 1359 | 275 // unary operations |
| 458 | 276 |
| 2964 | 277 boolMatrix operator ! (void) const; |
| 458 | 278 |
| 1359 | 279 // other operations |
| 458 | 280 |
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281 typedef double (*dmapper) (double); |
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282 typedef Complex (*cmapper) (const Complex&); |
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283 typedef bool (*bmapper) (double); |
| 2676 | 284 |
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285 Matrix map (dmapper fcn) const; |
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286 ComplexMatrix map (cmapper fcn) const; |
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287 boolMatrix map (bmapper fcn) const; |
| 458 | 288 |
| 4431 | 289 bool any_element_is_negative (bool = false) const; |
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290 bool any_element_is_nan (void) const; |
| 2385 | 291 bool any_element_is_inf_or_nan (void) const; |
| 5943 | 292 bool any_element_not_one_or_zero (void) const; |
| 2385 | 293 bool all_elements_are_int_or_inf_or_nan (void) const; |
| 294 bool all_integers (double& max_val, double& min_val) const; | |
| 295 bool too_large_for_float (void) const; | |
| 1963 | 296 |
| 4017 | 297 boolMatrix all (int dim = -1) const; |
| 298 boolMatrix any (int dim = -1) const; | |
| 458 | 299 |
| 4017 | 300 Matrix cumprod (int dim = -1) const; |
| 301 Matrix cumsum (int dim = -1) const; | |
| 302 Matrix prod (int dim = -1) const; | |
| 303 Matrix sum (int dim = -1) const; | |
| 304 Matrix sumsq (int dim = -1) const; | |
| 2385 | 305 Matrix abs (void) const; |
| 458 | 306 |
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307 Matrix diag (octave_idx_type k = 0) const; |
| 458 | 308 |
| 309 ColumnVector row_min (void) const; | |
| 2354 | 310 ColumnVector row_max (void) const; |
| 458 | 311 |
| 5275 | 312 ColumnVector row_min (Array<octave_idx_type>& index) const; |
| 313 ColumnVector row_max (Array<octave_idx_type>& index) const; | |
| 458 | 314 |
| 315 RowVector column_min (void) const; | |
| 2354 | 316 RowVector column_max (void) const; |
| 458 | 317 |
| 5275 | 318 RowVector column_min (Array<octave_idx_type>& index) const; |
| 319 RowVector column_max (Array<octave_idx_type>& index) const; | |
| 458 | 320 |
| 1359 | 321 // i/o |
| 458 | 322 |
| 6108 | 323 friend OCTAVE_API std::ostream& operator << (std::ostream& os, const Matrix& a); |
| 324 friend OCTAVE_API std::istream& operator >> (std::istream& is, Matrix& a); | |
| 458 | 325 |
| 3933 | 326 static double resize_fill_value (void) { return 0; } |
| 327 | |
| 458 | 328 private: |
| 329 | |
| 5275 | 330 Matrix (double *d, octave_idx_type r, octave_idx_type c) : MArray2<double> (d, r, c) { } |
| 458 | 331 }; |
| 332 | |
| 5508 | 333 // Publish externally used friend functions. |
| 334 | |
| 6108 | 335 extern OCTAVE_API Matrix real (const ComplexMatrix& a); |
| 336 extern OCTAVE_API Matrix imag (const ComplexMatrix& a); | |
| 5508 | 337 |
| 338 // column vector by row vector -> matrix operations | |
| 339 | |
| 6108 | 340 extern OCTAVE_API Matrix operator * (const ColumnVector& a, const RowVector& b); |
| 5508 | 341 |
| 342 // Other functions. | |
| 343 | |
| 6108 | 344 extern OCTAVE_API Matrix Givens (double, double); |
| 1819 | 345 |
| 6108 | 346 extern OCTAVE_API Matrix Sylvester (const Matrix&, const Matrix&, const Matrix&); |
| 1959 | 347 |
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348 extern OCTAVE_API Matrix xgemm (bool transa, const Matrix& a, bool transb, const Matrix& b); |
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349 |
| 6108 | 350 extern OCTAVE_API Matrix operator * (const Matrix& a, const Matrix& b); |
| 2828 | 351 |
| 6108 | 352 extern OCTAVE_API Matrix min (double d, const Matrix& m); |
| 353 extern OCTAVE_API Matrix min (const Matrix& m, double d); | |
| 354 extern OCTAVE_API Matrix min (const Matrix& a, const Matrix& b); | |
| 4309 | 355 |
| 6108 | 356 extern OCTAVE_API Matrix max (double d, const Matrix& m); |
| 357 extern OCTAVE_API Matrix max (const Matrix& m, double d); | |
| 358 extern OCTAVE_API Matrix max (const Matrix& a, const Matrix& b); | |
| 4309 | 359 |
| 6708 | 360 MS_CMP_OP_DECLS (Matrix, double, OCTAVE_API) |
| 361 MS_BOOL_OP_DECLS (Matrix, double, OCTAVE_API) | |
| 2870 | 362 |
| 6708 | 363 SM_CMP_OP_DECLS (double, Matrix, OCTAVE_API) |
| 364 SM_BOOL_OP_DECLS (double, Matrix, OCTAVE_API) | |
| 2870 | 365 |
| 6708 | 366 MM_CMP_OP_DECLS (Matrix, Matrix, OCTAVE_API) |
| 367 MM_BOOL_OP_DECLS (Matrix, Matrix, OCTAVE_API) | |
| 2870 | 368 |
| 3573 | 369 MARRAY_FORWARD_DEFS (MArray2, Matrix, double) |
| 370 | |
| 3689 | 371 template <class T> |
| 372 void read_int (std::istream& is, bool swap_bytes, T& val); | |
| 373 | |
| 458 | 374 #endif |
| 375 | |
| 376 /* | |
| 377 ;;; Local Variables: *** | |
| 378 ;;; mode: C++ *** | |
| 379 ;;; End: *** | |
| 380 */ |