Mercurial > octave-nkf
annotate liboctave/CDiagMatrix.cc @ 10158:4c0cdbe0acca
remove Emacs local-variable settings from liboctave source files
| author | John W. Eaton <jwe@octave.org> |
|---|---|
| date | Wed, 20 Jan 2010 19:04:35 -0500 |
| parents | 7483fe200fab |
| children | 07ebe522dac2 |
| rev | line source |
|---|---|
| 1993 | 1 // DiagMatrix manipulations. |
| 458 | 2 /* |
| 3 | |
| 7017 | 4 Copyright (C) 1994, 1995, 1996, 1997, 2000, 2001, 2002, 2003, 2004, |
| 8920 | 5 2005, 2007, 2008, 2009 John W. Eaton |
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6 Copyright (C) 2009 VZLU Prague |
| 458 | 7 |
| 8 This file is part of Octave. | |
| 9 | |
| 10 Octave is free software; you can redistribute it and/or modify it | |
| 11 under the terms of the GNU General Public License as published by the | |
| 7016 | 12 Free Software Foundation; either version 3 of the License, or (at your |
| 13 option) any later version. | |
| 458 | 14 |
| 15 Octave is distributed in the hope that it will be useful, but WITHOUT | |
| 16 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or | |
| 17 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License | |
| 18 for more details. | |
| 19 | |
| 20 You should have received a copy of the GNU General Public License | |
| 7016 | 21 along with Octave; see the file COPYING. If not, see |
| 22 <http://www.gnu.org/licenses/>. | |
| 458 | 23 |
| 24 */ | |
| 25 | |
| 26 #ifdef HAVE_CONFIG_H | |
| 1192 | 27 #include <config.h> |
| 458 | 28 #endif |
| 29 | |
| 3503 | 30 #include <iostream> |
| 458 | 31 |
| 4669 | 32 #include "Array-util.h" |
| 1368 | 33 #include "lo-error.h" |
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34 #include "lo-ieee.h" |
| 458 | 35 #include "mx-base.h" |
| 36 #include "mx-inlines.cc" | |
| 1650 | 37 #include "oct-cmplx.h" |
| 458 | 38 |
| 1360 | 39 // Complex Diagonal Matrix class |
| 458 | 40 |
| 41 ComplexDiagMatrix::ComplexDiagMatrix (const DiagMatrix& a) | |
| 1989 | 42 : MDiagArray2<Complex> (a.rows (), a.cols ()) |
| 458 | 43 { |
| 5275 | 44 for (octave_idx_type i = 0; i < length (); i++) |
| 458 | 45 elem (i, i) = a.elem (i, i); |
| 46 } | |
| 47 | |
| 2386 | 48 bool |
| 458 | 49 ComplexDiagMatrix::operator == (const ComplexDiagMatrix& a) const |
| 50 { | |
| 51 if (rows () != a.rows () || cols () != a.cols ()) | |
| 52 return 0; | |
| 53 | |
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54 return mx_inline_equal (length (), data (), a.data ()); |
| 458 | 55 } |
| 56 | |
| 2386 | 57 bool |
| 458 | 58 ComplexDiagMatrix::operator != (const ComplexDiagMatrix& a) const |
| 59 { | |
| 60 return !(*this == a); | |
| 61 } | |
| 62 | |
| 63 ComplexDiagMatrix& | |
| 64 ComplexDiagMatrix::fill (double val) | |
| 65 { | |
| 5275 | 66 for (octave_idx_type i = 0; i < length (); i++) |
| 458 | 67 elem (i, i) = val; |
| 68 return *this; | |
| 69 } | |
| 70 | |
| 71 ComplexDiagMatrix& | |
| 72 ComplexDiagMatrix::fill (const Complex& val) | |
| 73 { | |
| 5275 | 74 for (octave_idx_type i = 0; i < length (); i++) |
| 458 | 75 elem (i, i) = val; |
| 76 return *this; | |
| 77 } | |
| 78 | |
| 79 ComplexDiagMatrix& | |
| 5275 | 80 ComplexDiagMatrix::fill (double val, octave_idx_type beg, octave_idx_type end) |
| 458 | 81 { |
| 82 if (beg < 0 || end >= length () || end < beg) | |
| 83 { | |
| 84 (*current_liboctave_error_handler) ("range error for fill"); | |
| 85 return *this; | |
| 86 } | |
| 87 | |
| 5275 | 88 for (octave_idx_type i = beg; i <= end; i++) |
| 458 | 89 elem (i, i) = val; |
| 90 | |
| 91 return *this; | |
| 92 } | |
| 93 | |
| 94 ComplexDiagMatrix& | |
| 5275 | 95 ComplexDiagMatrix::fill (const Complex& val, octave_idx_type beg, octave_idx_type end) |
| 458 | 96 { |
| 97 if (beg < 0 || end >= length () || end < beg) | |
| 98 { | |
| 99 (*current_liboctave_error_handler) ("range error for fill"); | |
| 100 return *this; | |
| 101 } | |
| 102 | |
| 5275 | 103 for (octave_idx_type i = beg; i <= end; i++) |
| 458 | 104 elem (i, i) = val; |
| 105 | |
| 106 return *this; | |
| 107 } | |
| 108 | |
| 109 ComplexDiagMatrix& | |
| 110 ComplexDiagMatrix::fill (const ColumnVector& a) | |
| 111 { | |
| 5275 | 112 octave_idx_type len = length (); |
| 458 | 113 if (a.length () != len) |
| 114 { | |
| 115 (*current_liboctave_error_handler) ("range error for fill"); | |
| 116 return *this; | |
| 117 } | |
| 118 | |
| 5275 | 119 for (octave_idx_type i = 0; i < len; i++) |
| 458 | 120 elem (i, i) = a.elem (i); |
| 121 | |
| 122 return *this; | |
| 123 } | |
| 124 | |
| 125 ComplexDiagMatrix& | |
| 126 ComplexDiagMatrix::fill (const ComplexColumnVector& a) | |
| 127 { | |
| 5275 | 128 octave_idx_type len = length (); |
| 458 | 129 if (a.length () != len) |
| 130 { | |
| 131 (*current_liboctave_error_handler) ("range error for fill"); | |
| 132 return *this; | |
| 133 } | |
| 134 | |
| 5275 | 135 for (octave_idx_type i = 0; i < len; i++) |
| 458 | 136 elem (i, i) = a.elem (i); |
| 137 | |
| 138 return *this; | |
| 139 } | |
| 140 | |
| 141 ComplexDiagMatrix& | |
| 142 ComplexDiagMatrix::fill (const RowVector& a) | |
| 143 { | |
| 5275 | 144 octave_idx_type len = length (); |
| 458 | 145 if (a.length () != len) |
| 146 { | |
| 147 (*current_liboctave_error_handler) ("range error for fill"); | |
| 148 return *this; | |
| 149 } | |
| 150 | |
| 5275 | 151 for (octave_idx_type i = 0; i < len; i++) |
| 458 | 152 elem (i, i) = a.elem (i); |
| 153 | |
| 154 return *this; | |
| 155 } | |
| 156 | |
| 157 ComplexDiagMatrix& | |
| 158 ComplexDiagMatrix::fill (const ComplexRowVector& a) | |
| 159 { | |
| 5275 | 160 octave_idx_type len = length (); |
| 458 | 161 if (a.length () != len) |
| 162 { | |
| 163 (*current_liboctave_error_handler) ("range error for fill"); | |
| 164 return *this; | |
| 165 } | |
| 166 | |
| 5275 | 167 for (octave_idx_type i = 0; i < len; i++) |
| 458 | 168 elem (i, i) = a.elem (i); |
| 169 | |
| 170 return *this; | |
| 171 } | |
| 172 | |
| 173 ComplexDiagMatrix& | |
| 5275 | 174 ComplexDiagMatrix::fill (const ColumnVector& a, octave_idx_type beg) |
| 458 | 175 { |
| 5275 | 176 octave_idx_type a_len = a.length (); |
| 458 | 177 if (beg < 0 || beg + a_len >= length ()) |
| 178 { | |
| 179 (*current_liboctave_error_handler) ("range error for fill"); | |
| 180 return *this; | |
| 181 } | |
| 182 | |
| 5275 | 183 for (octave_idx_type i = 0; i < a_len; i++) |
| 458 | 184 elem (i+beg, i+beg) = a.elem (i); |
| 185 | |
| 186 return *this; | |
| 187 } | |
| 188 | |
| 189 ComplexDiagMatrix& | |
| 5275 | 190 ComplexDiagMatrix::fill (const ComplexColumnVector& a, octave_idx_type beg) |
| 458 | 191 { |
| 5275 | 192 octave_idx_type a_len = a.length (); |
| 458 | 193 if (beg < 0 || beg + a_len >= length ()) |
| 194 { | |
| 195 (*current_liboctave_error_handler) ("range error for fill"); | |
| 196 return *this; | |
| 197 } | |
| 198 | |
| 5275 | 199 for (octave_idx_type i = 0; i < a_len; i++) |
| 458 | 200 elem (i+beg, i+beg) = a.elem (i); |
| 201 | |
| 202 return *this; | |
| 203 } | |
| 204 | |
| 205 ComplexDiagMatrix& | |
| 5275 | 206 ComplexDiagMatrix::fill (const RowVector& a, octave_idx_type beg) |
| 458 | 207 { |
| 5275 | 208 octave_idx_type a_len = a.length (); |
| 458 | 209 if (beg < 0 || beg + a_len >= length ()) |
| 210 { | |
| 211 (*current_liboctave_error_handler) ("range error for fill"); | |
| 212 return *this; | |
| 213 } | |
| 214 | |
| 5275 | 215 for (octave_idx_type i = 0; i < a_len; i++) |
| 458 | 216 elem (i+beg, i+beg) = a.elem (i); |
| 217 | |
| 218 return *this; | |
| 219 } | |
| 220 | |
| 221 ComplexDiagMatrix& | |
| 5275 | 222 ComplexDiagMatrix::fill (const ComplexRowVector& a, octave_idx_type beg) |
| 458 | 223 { |
| 5275 | 224 octave_idx_type a_len = a.length (); |
| 458 | 225 if (beg < 0 || beg + a_len >= length ()) |
| 226 { | |
| 227 (*current_liboctave_error_handler) ("range error for fill"); | |
| 228 return *this; | |
| 229 } | |
| 230 | |
| 5275 | 231 for (octave_idx_type i = 0; i < a_len; i++) |
| 458 | 232 elem (i+beg, i+beg) = a.elem (i); |
| 233 | |
| 234 return *this; | |
| 235 } | |
| 236 | |
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237 DiagMatrix |
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238 ComplexDiagMatrix::abs (void) const |
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239 { |
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240 DiagMatrix retval (rows (), cols ()); |
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241 for (octave_idx_type i = 0; i < rows (); i++) |
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242 retval(i, i) = std::abs (elem (i, i)); |
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243 return retval; |
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244 } |
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245 |
| 458 | 246 ComplexDiagMatrix |
| 247 conj (const ComplexDiagMatrix& a) | |
| 248 { | |
| 249 ComplexDiagMatrix retval; | |
| 5275 | 250 octave_idx_type a_len = a.length (); |
| 458 | 251 if (a_len > 0) |
| 3769 | 252 retval = ComplexDiagMatrix (mx_inline_conj_dup (a.data (), a_len), |
| 458 | 253 a.rows (), a.cols ()); |
| 254 return retval; | |
| 255 } | |
| 256 | |
| 257 // resize is the destructive analog for this one | |
| 258 | |
| 259 ComplexMatrix | |
| 5275 | 260 ComplexDiagMatrix::extract (octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2) const |
| 458 | 261 { |
| 5275 | 262 if (r1 > r2) { octave_idx_type tmp = r1; r1 = r2; r2 = tmp; } |
| 263 if (c1 > c2) { octave_idx_type tmp = c1; c1 = c2; c2 = tmp; } | |
| 458 | 264 |
| 5275 | 265 octave_idx_type new_r = r2 - r1 + 1; |
| 266 octave_idx_type new_c = c2 - c1 + 1; | |
| 458 | 267 |
| 268 ComplexMatrix result (new_r, new_c); | |
| 269 | |
| 5275 | 270 for (octave_idx_type j = 0; j < new_c; j++) |
| 271 for (octave_idx_type i = 0; i < new_r; i++) | |
| 458 | 272 result.elem (i, j) = elem (r1+i, c1+j); |
| 273 | |
| 274 return result; | |
| 275 } | |
| 276 | |
| 277 // extract row or column i. | |
| 278 | |
| 279 ComplexRowVector | |
| 5275 | 280 ComplexDiagMatrix::row (octave_idx_type i) const |
| 458 | 281 { |
| 5275 | 282 octave_idx_type r = rows (); |
| 283 octave_idx_type c = cols (); | |
| 3504 | 284 if (i < 0 || i >= r) |
| 458 | 285 { |
| 286 (*current_liboctave_error_handler) ("invalid row selection"); | |
| 3585 | 287 return ComplexRowVector (); |
| 458 | 288 } |
| 289 | |
| 3504 | 290 ComplexRowVector retval (c, 0.0); |
| 291 if (r <= c || (r > c && i < c)) | |
| 458 | 292 retval.elem (i) = elem (i, i); |
| 293 | |
| 294 return retval; | |
| 295 } | |
| 296 | |
| 297 ComplexRowVector | |
| 298 ComplexDiagMatrix::row (char *s) const | |
| 299 { | |
| 533 | 300 if (! s) |
| 458 | 301 { |
| 302 (*current_liboctave_error_handler) ("invalid row selection"); | |
| 303 return ComplexRowVector (); | |
| 304 } | |
| 305 | |
| 306 char c = *s; | |
| 307 if (c == 'f' || c == 'F') | |
| 5275 | 308 return row (static_cast<octave_idx_type>(0)); |
| 458 | 309 else if (c == 'l' || c == 'L') |
| 310 return row (rows () - 1); | |
| 311 else | |
| 312 { | |
| 313 (*current_liboctave_error_handler) ("invalid row selection"); | |
| 314 return ComplexRowVector (); | |
| 315 } | |
| 316 } | |
| 317 | |
| 318 ComplexColumnVector | |
| 5275 | 319 ComplexDiagMatrix::column (octave_idx_type i) const |
| 458 | 320 { |
| 5275 | 321 octave_idx_type r = rows (); |
| 322 octave_idx_type c = cols (); | |
| 3504 | 323 if (i < 0 || i >= c) |
| 458 | 324 { |
| 325 (*current_liboctave_error_handler) ("invalid column selection"); | |
| 3585 | 326 return ComplexColumnVector (); |
| 458 | 327 } |
| 328 | |
| 3504 | 329 ComplexColumnVector retval (r, 0.0); |
| 330 if (r >= c || (r < c && i < r)) | |
| 458 | 331 retval.elem (i) = elem (i, i); |
| 332 | |
| 333 return retval; | |
| 334 } | |
| 335 | |
| 336 ComplexColumnVector | |
| 337 ComplexDiagMatrix::column (char *s) const | |
| 338 { | |
| 533 | 339 if (! s) |
| 458 | 340 { |
| 341 (*current_liboctave_error_handler) ("invalid column selection"); | |
| 3585 | 342 return ComplexColumnVector (); |
| 458 | 343 } |
| 344 | |
| 345 char c = *s; | |
| 346 if (c == 'f' || c == 'F') | |
| 5275 | 347 return column (static_cast<octave_idx_type>(0)); |
| 458 | 348 else if (c == 'l' || c == 'L') |
| 349 return column (cols () - 1); | |
| 350 else | |
| 351 { | |
| 352 (*current_liboctave_error_handler) ("invalid column selection"); | |
| 3585 | 353 return ComplexColumnVector (); |
| 458 | 354 } |
| 355 } | |
| 356 | |
| 357 ComplexDiagMatrix | |
| 358 ComplexDiagMatrix::inverse (void) const | |
| 359 { | |
| 8811 | 360 octave_idx_type info; |
| 458 | 361 return inverse (info); |
| 362 } | |
| 363 | |
| 364 ComplexDiagMatrix | |
| 8811 | 365 ComplexDiagMatrix::inverse (octave_idx_type& info) const |
| 458 | 366 { |
| 5275 | 367 octave_idx_type r = rows (); |
| 368 octave_idx_type c = cols (); | |
| 3504 | 369 if (r != c) |
| 458 | 370 { |
| 371 (*current_liboctave_error_handler) ("inverse requires square matrix"); | |
| 3585 | 372 return ComplexDiagMatrix (); |
| 458 | 373 } |
| 374 | |
| 3504 | 375 ComplexDiagMatrix retval (r, c); |
| 458 | 376 |
| 377 info = 0; | |
| 5275 | 378 for (octave_idx_type i = 0; i < length (); i++) |
| 458 | 379 { |
| 380 if (elem (i, i) == 0.0) | |
| 381 { | |
| 382 info = -1; | |
| 383 return *this; | |
| 384 } | |
| 385 else | |
| 386 retval.elem (i, i) = 1.0 / elem (i, i); | |
| 387 } | |
| 388 | |
| 1627 | 389 return retval; |
| 458 | 390 } |
| 391 | |
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392 ComplexDiagMatrix |
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393 ComplexDiagMatrix::pseudo_inverse (void) const |
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394 { |
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395 octave_idx_type r = rows (); |
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396 octave_idx_type c = cols (); |
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397 octave_idx_type len = length (); |
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398 |
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399 ComplexDiagMatrix retval (c, r); |
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400 |
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401 for (octave_idx_type i = 0; i < len; i++) |
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402 { |
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403 if (elem (i, i) != 0.0) |
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404 retval.elem (i, i) = 1.0 / elem (i, i); |
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405 else |
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406 retval.elem (i, i) = 0.0; |
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407 } |
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408 |
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409 return retval; |
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410 } |
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411 |
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412 bool |
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413 ComplexDiagMatrix::all_elements_are_real (void) const |
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414 { |
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415 return mx_inline_all_real (length (), data ()); |
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416 } |
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417 |
| 458 | 418 // diagonal matrix by diagonal matrix -> diagonal matrix operations |
| 419 | |
| 420 ComplexDiagMatrix& | |
| 421 ComplexDiagMatrix::operator += (const DiagMatrix& a) | |
| 422 { | |
| 5275 | 423 octave_idx_type r = rows (); |
| 424 octave_idx_type c = cols (); | |
| 2386 | 425 |
| 5275 | 426 octave_idx_type a_nr = a.rows (); |
| 427 octave_idx_type a_nc = a.cols (); | |
| 2386 | 428 |
| 3504 | 429 if (r != a_nr || c != a_nc) |
| 458 | 430 { |
| 3504 | 431 gripe_nonconformant ("operator +=", r, c, a_nr, a_nc); |
| 458 | 432 return *this; |
| 433 } | |
| 434 | |
| 3504 | 435 if (r == 0 || c == 0) |
| 458 | 436 return *this; |
| 437 | |
| 438 Complex *d = fortran_vec (); // Ensures only one reference to my privates! | |
| 439 | |
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440 mx_inline_add2 (length (), d, a.data ()); |
| 458 | 441 return *this; |
| 442 } | |
| 443 | |
| 444 ComplexDiagMatrix | |
| 445 operator * (const ComplexDiagMatrix& a, const DiagMatrix& b) | |
| 446 { | |
| 5275 | 447 octave_idx_type a_nr = a.rows (); |
| 448 octave_idx_type a_nc = a.cols (); | |
| 2386 | 449 |
| 5275 | 450 octave_idx_type b_nr = b.rows (); |
| 451 octave_idx_type b_nc = b.cols (); | |
| 2386 | 452 |
| 3504 | 453 if (a_nc != b_nr) |
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454 gripe_nonconformant ("operator *", a_nr, a_nc, b_nr, b_nc); |
| 458 | 455 |
| 3504 | 456 ComplexDiagMatrix c (a_nr, b_nc); |
| 458 | 457 |
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458 octave_idx_type len = c.length (), lenm = len < a_nc ? len : a_nc; |
| 458 | 459 |
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460 for (octave_idx_type i = 0; i < lenm; i++) |
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461 c.dgxelem (i) = a.dgelem (i) * b.dgelem (i); |
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462 for (octave_idx_type i = lenm; i < len; i++) |
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463 c.dgxelem (i) = 0.0; |
| 458 | 464 |
| 465 return c; | |
| 466 } | |
| 467 | |
| 468 ComplexDiagMatrix | |
| 1205 | 469 operator * (const DiagMatrix& a, const ComplexDiagMatrix& b) |
| 470 { | |
| 5275 | 471 octave_idx_type a_nr = a.rows (); |
| 472 octave_idx_type a_nc = a.cols (); | |
| 2386 | 473 |
| 5275 | 474 octave_idx_type b_nr = b.rows (); |
| 475 octave_idx_type b_nc = b.cols (); | |
| 2386 | 476 |
| 3504 | 477 if (a_nc != b_nr) |
| 1205 | 478 { |
| 3504 | 479 gripe_nonconformant ("operator *", a_nr, a_nc, b_nr, b_nc); |
| 1205 | 480 return ComplexDiagMatrix (); |
| 481 } | |
| 482 | |
| 3504 | 483 if (a_nr == 0 || a_nc == 0 || b_nc == 0) |
| 484 return ComplexDiagMatrix (a_nr, a_nc, 0.0); | |
| 1205 | 485 |
| 3504 | 486 ComplexDiagMatrix c (a_nr, b_nc); |
| 1205 | 487 |
| 5275 | 488 octave_idx_type len = a_nr < b_nc ? a_nr : b_nc; |
| 1205 | 489 |
| 5275 | 490 for (octave_idx_type i = 0; i < len; i++) |
| 1205 | 491 { |
| 492 double a_element = a.elem (i, i); | |
| 493 Complex b_element = b.elem (i, i); | |
| 494 | |
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495 c.elem (i, i) = a_element * b_element; |
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496 } |
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497 |
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498 return c; |
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499 } |
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500 |
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501 ComplexDiagMatrix |
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502 operator * (const ComplexDiagMatrix& a, const ComplexDiagMatrix& b) |
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503 { |
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504 octave_idx_type a_nr = a.rows (); |
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505 octave_idx_type a_nc = a.cols (); |
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506 |
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507 octave_idx_type b_nr = b.rows (); |
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508 octave_idx_type b_nc = b.cols (); |
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509 |
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510 if (a_nc != b_nr) |
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511 { |
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512 gripe_nonconformant ("operator *", a_nr, a_nc, b_nr, b_nc); |
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513 return ComplexDiagMatrix (); |
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514 } |
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515 |
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516 if (a_nr == 0 || a_nc == 0 || b_nc == 0) |
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517 return ComplexDiagMatrix (a_nr, a_nc, 0.0); |
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518 |
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519 ComplexDiagMatrix c (a_nr, b_nc); |
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520 |
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521 octave_idx_type len = a_nr < b_nc ? a_nr : b_nc; |
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522 |
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523 for (octave_idx_type i = 0; i < len; i++) |
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524 { |
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525 Complex a_element = a.elem (i, i); |
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526 Complex b_element = b.elem (i, i); |
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527 |
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528 c.elem (i, i) = a_element * b_element; |
| 1205 | 529 } |
| 530 | |
| 531 return c; | |
| 532 } | |
| 533 | |
| 458 | 534 // other operations |
| 535 | |
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536 ComplexDET |
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537 ComplexDiagMatrix::determinant (void) const |
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538 { |
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539 ComplexDET det (1.0); |
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540 if (rows () != cols ()) |
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541 { |
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542 (*current_liboctave_error_handler) ("determinant requires square matrix"); |
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543 det = ComplexDET (0.0); |
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544 } |
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545 else |
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546 { |
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547 octave_idx_type len = length (); |
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548 for (octave_idx_type i = 0; i < len; i++) |
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549 det *= elem (i, i); |
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550 } |
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551 |
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552 return det; |
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553 } |
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554 |
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555 double |
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556 ComplexDiagMatrix::rcond (void) const |
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557 { |
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558 ColumnVector av = diag (0).map<double> (std::abs); |
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559 double amx = av.max (), amn = av.min (); |
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560 return amx == 0 ? 0.0 : amn / amx; |
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561 } |
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562 |
| 458 | 563 // i/o |
| 564 | |
| 3504 | 565 std::ostream& |
| 566 operator << (std::ostream& os, const ComplexDiagMatrix& a) | |
| 458 | 567 { |
| 568 Complex ZERO (0.0); | |
| 569 // int field_width = os.precision () + 7; | |
| 5275 | 570 for (octave_idx_type i = 0; i < a.rows (); i++) |
| 458 | 571 { |
| 5275 | 572 for (octave_idx_type j = 0; j < a.cols (); j++) |
| 458 | 573 { |
| 574 if (i == j) | |
| 575 os << " " /* setw (field_width) */ << a.elem (i, i); | |
| 576 else | |
| 577 os << " " /* setw (field_width) */ << ZERO; | |
| 578 } | |
| 579 os << "\n"; | |
| 580 } | |
| 581 return os; | |
| 582 } |