Mercurial > octave-nkf
annotate liboctave/dDiagMatrix.cc @ 8840:c690e3772583
support diagonal matrices in pinv
| author | Jaroslav Hajek <highegg@gmail.com> |
|---|---|
| date | Mon, 23 Feb 2009 14:54:56 +0100 |
| parents | 20dfb885f877 |
| children | eb63fbe60fab |
| rev | line source |
|---|---|
| 1993 | 1 // DiagMatrix manipulations. |
| 458 | 2 /* |
| 3 | |
| 7017 | 4 Copyright (C) 1994, 1995, 1996, 1997, 2000, 2001, 2002, 2003, 2004, |
| 5 2005, 2007 John W. Eaton | |
| 458 | 6 |
| 7 This file is part of Octave. | |
| 8 | |
| 9 Octave is free software; you can redistribute it and/or modify it | |
| 10 under the terms of the GNU General Public License as published by the | |
| 7016 | 11 Free Software Foundation; either version 3 of the License, or (at your |
| 12 option) any later version. | |
| 458 | 13 |
| 14 Octave is distributed in the hope that it will be useful, but WITHOUT | |
| 15 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or | |
| 16 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License | |
| 17 for more details. | |
| 18 | |
| 19 You should have received a copy of the GNU General Public License | |
| 7016 | 20 along with Octave; see the file COPYING. If not, see |
| 21 <http://www.gnu.org/licenses/>. | |
| 458 | 22 |
| 23 */ | |
| 24 | |
| 25 #ifdef HAVE_CONFIG_H | |
| 1192 | 26 #include <config.h> |
| 458 | 27 #endif |
| 28 | |
| 3503 | 29 #include <iostream> |
| 458 | 30 |
| 4669 | 31 #include "Array-util.h" |
| 1368 | 32 #include "lo-error.h" |
| 458 | 33 #include "mx-base.h" |
| 34 #include "mx-inlines.cc" | |
| 1650 | 35 #include "oct-cmplx.h" |
| 458 | 36 |
| 1360 | 37 // Diagonal Matrix class. |
| 458 | 38 |
| 2385 | 39 bool |
| 458 | 40 DiagMatrix::operator == (const DiagMatrix& a) const |
| 41 { | |
| 42 if (rows () != a.rows () || cols () != a.cols ()) | |
| 43 return 0; | |
| 44 | |
| 3769 | 45 return mx_inline_equal (data (), a.data (), length ()); |
| 458 | 46 } |
| 47 | |
| 2385 | 48 bool |
| 458 | 49 DiagMatrix::operator != (const DiagMatrix& a) const |
| 50 { | |
| 51 return !(*this == a); | |
| 52 } | |
| 53 | |
| 54 DiagMatrix& | |
| 55 DiagMatrix::fill (double val) | |
| 56 { | |
| 5275 | 57 for (octave_idx_type i = 0; i < length (); i++) |
| 458 | 58 elem (i, i) = val; |
| 59 return *this; | |
| 60 } | |
| 61 | |
| 62 DiagMatrix& | |
| 5275 | 63 DiagMatrix::fill (double val, octave_idx_type beg, octave_idx_type end) |
| 458 | 64 { |
| 65 if (beg < 0 || end >= length () || end < beg) | |
| 66 { | |
| 67 (*current_liboctave_error_handler) ("range error for fill"); | |
| 68 return *this; | |
| 69 } | |
| 70 | |
| 5275 | 71 for (octave_idx_type i = beg; i <= end; i++) |
| 458 | 72 elem (i, i) = val; |
| 73 | |
| 74 return *this; | |
| 75 } | |
| 76 | |
| 77 DiagMatrix& | |
| 78 DiagMatrix::fill (const ColumnVector& a) | |
| 79 { | |
| 5275 | 80 octave_idx_type len = length (); |
| 458 | 81 if (a.length () != len) |
| 82 { | |
| 83 (*current_liboctave_error_handler) ("range error for fill"); | |
| 84 return *this; | |
| 85 } | |
| 86 | |
| 5275 | 87 for (octave_idx_type i = 0; i < len; i++) |
| 458 | 88 elem (i, i) = a.elem (i); |
| 89 | |
| 90 return *this; | |
| 91 } | |
| 92 | |
| 93 DiagMatrix& | |
| 94 DiagMatrix::fill (const RowVector& a) | |
| 95 { | |
| 5275 | 96 octave_idx_type len = length (); |
| 458 | 97 if (a.length () != len) |
| 98 { | |
| 99 (*current_liboctave_error_handler) ("range error for fill"); | |
| 100 return *this; | |
| 101 } | |
| 102 | |
| 5275 | 103 for (octave_idx_type i = 0; i < len; i++) |
| 458 | 104 elem (i, i) = a.elem (i); |
| 105 | |
| 106 return *this; | |
| 107 } | |
| 108 | |
| 109 DiagMatrix& | |
| 5275 | 110 DiagMatrix::fill (const ColumnVector& a, octave_idx_type beg) |
| 458 | 111 { |
| 5275 | 112 octave_idx_type a_len = a.length (); |
| 458 | 113 if (beg < 0 || beg + a_len >= length ()) |
| 114 { | |
| 115 (*current_liboctave_error_handler) ("range error for fill"); | |
| 116 return *this; | |
| 117 } | |
| 118 | |
| 5275 | 119 for (octave_idx_type i = 0; i < a_len; i++) |
| 458 | 120 elem (i+beg, i+beg) = a.elem (i); |
| 121 | |
| 122 return *this; | |
| 123 } | |
| 124 | |
| 125 DiagMatrix& | |
| 5275 | 126 DiagMatrix::fill (const RowVector& a, octave_idx_type beg) |
| 458 | 127 { |
| 5275 | 128 octave_idx_type a_len = a.length (); |
| 458 | 129 if (beg < 0 || beg + a_len >= length ()) |
| 130 { | |
| 131 (*current_liboctave_error_handler) ("range error for fill"); | |
| 132 return *this; | |
| 133 } | |
| 134 | |
| 5275 | 135 for (octave_idx_type i = 0; i < a_len; i++) |
| 458 | 136 elem (i+beg, i+beg) = a.elem (i); |
| 137 | |
| 138 return *this; | |
| 139 } | |
| 140 | |
| 141 DiagMatrix | |
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142 DiagMatrix::abs (void) const |
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143 { |
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144 DiagMatrix retval (rows (), cols ()); |
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145 for (octave_idx_type i = 0; i < rows (); i++) |
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146 retval(i, i) = std::abs (elem (i, i)); |
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147 return retval; |
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148 } |
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149 |
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150 DiagMatrix |
| 1205 | 151 real (const ComplexDiagMatrix& a) |
| 152 { | |
| 153 DiagMatrix retval; | |
| 5275 | 154 octave_idx_type a_len = a.length (); |
| 1205 | 155 if (a_len > 0) |
| 3769 | 156 retval = DiagMatrix (mx_inline_real_dup (a.data (), a_len), a.rows (), |
| 1205 | 157 a.cols ()); |
| 158 return retval; | |
| 159 } | |
| 160 | |
| 161 DiagMatrix | |
| 162 imag (const ComplexDiagMatrix& a) | |
| 163 { | |
| 164 DiagMatrix retval; | |
| 5275 | 165 octave_idx_type a_len = a.length (); |
| 1205 | 166 if (a_len > 0) |
| 3769 | 167 retval = DiagMatrix (mx_inline_imag_dup (a.data (), a_len), a.rows (), |
| 1205 | 168 a.cols ()); |
| 169 return retval; | |
| 170 } | |
| 171 | |
| 458 | 172 Matrix |
| 5275 | 173 DiagMatrix::extract (octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2) const |
| 458 | 174 { |
| 5275 | 175 if (r1 > r2) { octave_idx_type tmp = r1; r1 = r2; r2 = tmp; } |
| 176 if (c1 > c2) { octave_idx_type tmp = c1; c1 = c2; c2 = tmp; } | |
| 458 | 177 |
| 5275 | 178 octave_idx_type new_r = r2 - r1 + 1; |
| 179 octave_idx_type new_c = c2 - c1 + 1; | |
| 458 | 180 |
| 181 Matrix result (new_r, new_c); | |
| 182 | |
| 5275 | 183 for (octave_idx_type j = 0; j < new_c; j++) |
| 184 for (octave_idx_type i = 0; i < new_r; i++) | |
| 458 | 185 result.elem (i, j) = elem (r1+i, c1+j); |
| 186 | |
| 187 return result; | |
| 188 } | |
| 189 | |
| 190 // extract row or column i. | |
| 191 | |
| 192 RowVector | |
| 5275 | 193 DiagMatrix::row (octave_idx_type i) const |
| 458 | 194 { |
| 5275 | 195 octave_idx_type r = rows (); |
| 196 octave_idx_type c = cols (); | |
| 3504 | 197 if (i < 0 || i >= r) |
| 458 | 198 { |
| 199 (*current_liboctave_error_handler) ("invalid row selection"); | |
| 200 return RowVector (); | |
| 201 } | |
| 202 | |
| 3504 | 203 RowVector retval (c, 0.0); |
| 204 if (r <= c || (r > c && i < c)) | |
| 458 | 205 retval.elem (i) = elem (i, i); |
| 206 | |
| 207 return retval; | |
| 208 } | |
| 209 | |
| 210 RowVector | |
| 211 DiagMatrix::row (char *s) const | |
| 212 { | |
| 533 | 213 if (! s) |
| 458 | 214 { |
| 215 (*current_liboctave_error_handler) ("invalid row selection"); | |
| 216 return RowVector (); | |
| 217 } | |
| 218 | |
| 219 char c = *s; | |
| 220 if (c == 'f' || c == 'F') | |
| 5275 | 221 return row (static_cast<octave_idx_type>(0)); |
| 458 | 222 else if (c == 'l' || c == 'L') |
| 223 return row (rows () - 1); | |
| 224 else | |
| 225 { | |
| 226 (*current_liboctave_error_handler) ("invalid row selection"); | |
| 227 return RowVector (); | |
| 228 } | |
| 229 } | |
| 230 | |
| 231 ColumnVector | |
| 5275 | 232 DiagMatrix::column (octave_idx_type i) const |
| 458 | 233 { |
| 5275 | 234 octave_idx_type r = rows (); |
| 235 octave_idx_type c = cols (); | |
| 3504 | 236 if (i < 0 || i >= c) |
| 458 | 237 { |
| 238 (*current_liboctave_error_handler) ("invalid column selection"); | |
| 239 return ColumnVector (); | |
| 240 } | |
| 241 | |
| 3504 | 242 ColumnVector retval (r, 0.0); |
| 243 if (r >= c || (r < c && i < r)) | |
| 458 | 244 retval.elem (i) = elem (i, i); |
| 245 | |
| 246 return retval; | |
| 247 } | |
| 248 | |
| 249 ColumnVector | |
| 250 DiagMatrix::column (char *s) const | |
| 251 { | |
| 533 | 252 if (! s) |
| 458 | 253 { |
| 254 (*current_liboctave_error_handler) ("invalid column selection"); | |
| 255 return ColumnVector (); | |
| 256 } | |
| 257 | |
| 258 char c = *s; | |
| 259 if (c == 'f' || c == 'F') | |
| 5275 | 260 return column (static_cast<octave_idx_type>(0)); |
| 458 | 261 else if (c == 'l' || c == 'L') |
| 262 return column (cols () - 1); | |
| 263 else | |
| 264 { | |
| 265 (*current_liboctave_error_handler) ("invalid column selection"); | |
| 266 return ColumnVector (); | |
| 267 } | |
| 268 } | |
| 269 | |
| 270 DiagMatrix | |
| 271 DiagMatrix::inverse (void) const | |
| 272 { | |
| 8811 | 273 octave_idx_type info; |
| 458 | 274 return inverse (info); |
| 275 } | |
| 276 | |
| 277 DiagMatrix | |
| 8811 | 278 DiagMatrix::inverse (octave_idx_type &info) const |
| 458 | 279 { |
| 5275 | 280 octave_idx_type r = rows (); |
| 281 octave_idx_type c = cols (); | |
| 282 octave_idx_type len = length (); | |
| 3504 | 283 if (r != c) |
| 458 | 284 { |
| 285 (*current_liboctave_error_handler) ("inverse requires square matrix"); | |
| 286 return DiagMatrix (); | |
| 287 } | |
| 288 | |
| 3504 | 289 DiagMatrix retval (r, c); |
| 1627 | 290 |
| 458 | 291 info = 0; |
| 5275 | 292 for (octave_idx_type i = 0; i < len; i++) |
| 458 | 293 { |
| 294 if (elem (i, i) == 0.0) | |
| 295 { | |
| 296 info = -1; | |
| 1627 | 297 return *this; |
| 458 | 298 } |
| 299 else | |
| 1627 | 300 retval.elem (i, i) = 1.0 / elem (i, i); |
| 458 | 301 } |
| 302 | |
| 1627 | 303 return retval; |
| 458 | 304 } |
| 305 | |
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306 DiagMatrix |
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307 DiagMatrix::pseudo_inverse (void) const |
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308 { |
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309 octave_idx_type r = rows (); |
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310 octave_idx_type c = cols (); |
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311 octave_idx_type len = length (); |
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312 |
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313 DiagMatrix retval (c, r); |
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314 |
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315 for (octave_idx_type i = 0; i < len; i++) |
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316 { |
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317 if (elem (i, i) != 0.0) |
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318 retval.elem (i, i) = 1.0 / elem (i, i); |
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319 else |
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320 retval.elem (i, i) = 0.0; |
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321 } |
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322 |
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323 return retval; |
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324 } |
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325 |
| 458 | 326 // diagonal matrix by diagonal matrix -> diagonal matrix operations |
| 327 | |
| 328 // diagonal matrix by diagonal matrix -> diagonal matrix operations | |
| 329 | |
| 330 DiagMatrix | |
| 331 operator * (const DiagMatrix& a, const DiagMatrix& b) | |
| 332 { | |
| 5275 | 333 octave_idx_type a_nr = a.rows (); |
| 334 octave_idx_type a_nc = a.cols (); | |
| 2385 | 335 |
| 5275 | 336 octave_idx_type b_nr = b.rows (); |
| 337 octave_idx_type b_nc = b.cols (); | |
| 2385 | 338 |
| 3504 | 339 if (a_nc != b_nr) |
| 458 | 340 { |
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341 gripe_nonconformant ("operator *", a_nr, a_nc, b_nr, b_nc); |
| 458 | 342 return DiagMatrix (); |
| 343 } | |
| 344 | |
| 3504 | 345 if (a_nr == 0 || a_nc == 0 || b_nc == 0) |
| 346 return DiagMatrix (a_nr, a_nc, 0.0); | |
| 458 | 347 |
| 3504 | 348 DiagMatrix c (a_nr, b_nc); |
| 458 | 349 |
| 5275 | 350 octave_idx_type len = a_nr < b_nc ? a_nr : b_nc; |
| 458 | 351 |
| 5275 | 352 for (octave_idx_type i = 0; i < len; i++) |
| 458 | 353 { |
| 354 double a_element = a.elem (i, i); | |
| 355 double b_element = b.elem (i, i); | |
| 356 | |
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357 c.elem (i, i) = a_element * b_element; |
| 458 | 358 } |
| 359 | |
| 360 return c; | |
| 361 } | |
| 362 | |
| 363 // other operations | |
| 364 | |
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365 DET |
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366 DiagMatrix::determinant (void) const |
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367 { |
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368 DET det (1.0); |
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369 if (rows () != cols ()) |
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370 { |
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371 (*current_liboctave_error_handler) ("determinant requires square matrix"); |
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372 det = 0.0; |
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373 } |
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374 else |
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375 { |
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376 octave_idx_type len = length (); |
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377 for (octave_idx_type i = 0; i < len; i++) |
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378 det *= elem (i, i); |
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379 } |
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380 |
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381 return det; |
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382 } |
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383 |
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384 double |
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385 DiagMatrix::rcond (void) const |
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386 { |
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387 ColumnVector av = diag (0).map (fabs); |
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c3f7e2549abb
make det & inv aware of diagonal & permutation matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
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388 double amx = av.max (), amn = av.min (); |
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Jaroslav Hajek <highegg@gmail.com>
parents:
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389 return amx == 0 ? 0.0 : amn / amx; |
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c3f7e2549abb
make det & inv aware of diagonal & permutation matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
8367
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390 } |
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support permutation matrix objects
Jaroslav Hajek <highegg@gmail.com>
parents:
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391 |
| 3504 | 392 std::ostream& |
| 393 operator << (std::ostream& os, const DiagMatrix& a) | |
| 458 | 394 { |
| 395 // int field_width = os.precision () + 7; | |
| 1360 | 396 |
| 5275 | 397 for (octave_idx_type i = 0; i < a.rows (); i++) |
| 458 | 398 { |
| 5275 | 399 for (octave_idx_type j = 0; j < a.cols (); j++) |
| 458 | 400 { |
| 401 if (i == j) | |
| 402 os << " " /* setw (field_width) */ << a.elem (i, i); | |
| 403 else | |
| 404 os << " " /* setw (field_width) */ << 0.0; | |
| 405 } | |
| 406 os << "\n"; | |
| 407 } | |
| 408 return os; | |
| 409 } | |
| 410 | |
| 411 /* | |
| 412 ;;; Local Variables: *** | |
| 413 ;;; mode: C++ *** | |
| 414 ;;; End: *** | |
| 415 */ |