Mercurial > hg > octave-nkf
annotate liboctave/array/CDiagMatrix.cc @ 17296:3a9efb68272d ss-3-7-6
snapshot 3.7.6
* configure.ac (OCTAVE_VERSION): Bump to 3.7.6.
author | John W. Eaton <jwe@octave.org> |
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date | Tue, 20 Aug 2013 15:17:54 -0400 |
parents | 0a0912a9ab6e |
children | 7975d75f933c |
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1993 | 1 // DiagMatrix manipulations. |
458 | 2 /* |
3 | |
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4 Copyright (C) 1994-2012 John W. Eaton |
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5 Copyright (C) 2009 VZLU Prague |
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" |
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33 #include "lo-ieee.h" |
458 | 34 #include "mx-base.h" |
35 #include "mx-inlines.cc" | |
1650 | 36 #include "oct-cmplx.h" |
458 | 37 |
1360 | 38 // Complex Diagonal Matrix class |
458 | 39 |
40 ComplexDiagMatrix::ComplexDiagMatrix (const DiagMatrix& a) | |
1989 | 41 : MDiagArray2<Complex> (a.rows (), a.cols ()) |
458 | 42 { |
5275 | 43 for (octave_idx_type i = 0; i < length (); i++) |
458 | 44 elem (i, i) = a.elem (i, i); |
45 } | |
46 | |
2386 | 47 bool |
458 | 48 ComplexDiagMatrix::operator == (const ComplexDiagMatrix& a) const |
49 { | |
50 if (rows () != a.rows () || cols () != a.cols ()) | |
51 return 0; | |
52 | |
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53 return mx_inline_equal (length (), data (), a.data ()); |
458 | 54 } |
55 | |
2386 | 56 bool |
458 | 57 ComplexDiagMatrix::operator != (const ComplexDiagMatrix& a) const |
58 { | |
59 return !(*this == a); | |
60 } | |
61 | |
62 ComplexDiagMatrix& | |
63 ComplexDiagMatrix::fill (double val) | |
64 { | |
5275 | 65 for (octave_idx_type i = 0; i < length (); i++) |
458 | 66 elem (i, i) = val; |
67 return *this; | |
68 } | |
69 | |
70 ComplexDiagMatrix& | |
71 ComplexDiagMatrix::fill (const Complex& val) | |
72 { | |
5275 | 73 for (octave_idx_type i = 0; i < length (); i++) |
458 | 74 elem (i, i) = val; |
75 return *this; | |
76 } | |
77 | |
78 ComplexDiagMatrix& | |
5275 | 79 ComplexDiagMatrix::fill (double val, octave_idx_type beg, octave_idx_type end) |
458 | 80 { |
81 if (beg < 0 || end >= length () || end < beg) | |
82 { | |
83 (*current_liboctave_error_handler) ("range error for fill"); | |
84 return *this; | |
85 } | |
86 | |
5275 | 87 for (octave_idx_type i = beg; i <= end; i++) |
458 | 88 elem (i, i) = val; |
89 | |
90 return *this; | |
91 } | |
92 | |
93 ComplexDiagMatrix& | |
5275 | 94 ComplexDiagMatrix::fill (const Complex& val, octave_idx_type beg, octave_idx_type end) |
458 | 95 { |
96 if (beg < 0 || end >= length () || end < beg) | |
97 { | |
98 (*current_liboctave_error_handler) ("range error for fill"); | |
99 return *this; | |
100 } | |
101 | |
5275 | 102 for (octave_idx_type i = beg; i <= end; i++) |
458 | 103 elem (i, i) = val; |
104 | |
105 return *this; | |
106 } | |
107 | |
108 ComplexDiagMatrix& | |
109 ComplexDiagMatrix::fill (const ColumnVector& a) | |
110 { | |
5275 | 111 octave_idx_type len = length (); |
458 | 112 if (a.length () != len) |
113 { | |
114 (*current_liboctave_error_handler) ("range error for fill"); | |
115 return *this; | |
116 } | |
117 | |
5275 | 118 for (octave_idx_type i = 0; i < len; i++) |
458 | 119 elem (i, i) = a.elem (i); |
120 | |
121 return *this; | |
122 } | |
123 | |
124 ComplexDiagMatrix& | |
125 ComplexDiagMatrix::fill (const ComplexColumnVector& a) | |
126 { | |
5275 | 127 octave_idx_type len = length (); |
458 | 128 if (a.length () != len) |
129 { | |
130 (*current_liboctave_error_handler) ("range error for fill"); | |
131 return *this; | |
132 } | |
133 | |
5275 | 134 for (octave_idx_type i = 0; i < len; i++) |
458 | 135 elem (i, i) = a.elem (i); |
136 | |
137 return *this; | |
138 } | |
139 | |
140 ComplexDiagMatrix& | |
141 ComplexDiagMatrix::fill (const RowVector& a) | |
142 { | |
5275 | 143 octave_idx_type len = length (); |
458 | 144 if (a.length () != len) |
145 { | |
146 (*current_liboctave_error_handler) ("range error for fill"); | |
147 return *this; | |
148 } | |
149 | |
5275 | 150 for (octave_idx_type i = 0; i < len; i++) |
458 | 151 elem (i, i) = a.elem (i); |
152 | |
153 return *this; | |
154 } | |
155 | |
156 ComplexDiagMatrix& | |
157 ComplexDiagMatrix::fill (const ComplexRowVector& a) | |
158 { | |
5275 | 159 octave_idx_type len = length (); |
458 | 160 if (a.length () != len) |
161 { | |
162 (*current_liboctave_error_handler) ("range error for fill"); | |
163 return *this; | |
164 } | |
165 | |
5275 | 166 for (octave_idx_type i = 0; i < len; i++) |
458 | 167 elem (i, i) = a.elem (i); |
168 | |
169 return *this; | |
170 } | |
171 | |
172 ComplexDiagMatrix& | |
5275 | 173 ComplexDiagMatrix::fill (const ColumnVector& a, octave_idx_type beg) |
458 | 174 { |
5275 | 175 octave_idx_type a_len = a.length (); |
458 | 176 if (beg < 0 || beg + a_len >= length ()) |
177 { | |
178 (*current_liboctave_error_handler) ("range error for fill"); | |
179 return *this; | |
180 } | |
181 | |
5275 | 182 for (octave_idx_type i = 0; i < a_len; i++) |
458 | 183 elem (i+beg, i+beg) = a.elem (i); |
184 | |
185 return *this; | |
186 } | |
187 | |
188 ComplexDiagMatrix& | |
5275 | 189 ComplexDiagMatrix::fill (const ComplexColumnVector& a, octave_idx_type beg) |
458 | 190 { |
5275 | 191 octave_idx_type a_len = a.length (); |
458 | 192 if (beg < 0 || beg + a_len >= length ()) |
193 { | |
194 (*current_liboctave_error_handler) ("range error for fill"); | |
195 return *this; | |
196 } | |
197 | |
5275 | 198 for (octave_idx_type i = 0; i < a_len; i++) |
458 | 199 elem (i+beg, i+beg) = a.elem (i); |
200 | |
201 return *this; | |
202 } | |
203 | |
204 ComplexDiagMatrix& | |
5275 | 205 ComplexDiagMatrix::fill (const RowVector& a, octave_idx_type beg) |
458 | 206 { |
5275 | 207 octave_idx_type a_len = a.length (); |
458 | 208 if (beg < 0 || beg + a_len >= length ()) |
209 { | |
210 (*current_liboctave_error_handler) ("range error for fill"); | |
211 return *this; | |
212 } | |
213 | |
5275 | 214 for (octave_idx_type i = 0; i < a_len; i++) |
458 | 215 elem (i+beg, i+beg) = a.elem (i); |
216 | |
217 return *this; | |
218 } | |
219 | |
220 ComplexDiagMatrix& | |
5275 | 221 ComplexDiagMatrix::fill (const ComplexRowVector& a, octave_idx_type beg) |
458 | 222 { |
5275 | 223 octave_idx_type a_len = a.length (); |
458 | 224 if (beg < 0 || beg + a_len >= length ()) |
225 { | |
226 (*current_liboctave_error_handler) ("range error for fill"); | |
227 return *this; | |
228 } | |
229 | |
5275 | 230 for (octave_idx_type i = 0; i < a_len; i++) |
458 | 231 elem (i+beg, i+beg) = a.elem (i); |
232 | |
233 return *this; | |
234 } | |
235 | |
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236 DiagMatrix |
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237 ComplexDiagMatrix::abs (void) const |
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238 { |
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239 return DiagMatrix (extract_diag ().abs (), rows (), columns ()); |
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240 } |
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241 |
458 | 242 ComplexDiagMatrix |
243 conj (const ComplexDiagMatrix& a) | |
244 { | |
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245 return ComplexDiagMatrix (conj (a.extract_diag ()), a.rows (), a.columns ()); |
458 | 246 } |
247 | |
248 // resize is the destructive analog for this one | |
249 | |
250 ComplexMatrix | |
5275 | 251 ComplexDiagMatrix::extract (octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2) const |
458 | 252 { |
5275 | 253 if (r1 > r2) { octave_idx_type tmp = r1; r1 = r2; r2 = tmp; } |
254 if (c1 > c2) { octave_idx_type tmp = c1; c1 = c2; c2 = tmp; } | |
458 | 255 |
5275 | 256 octave_idx_type new_r = r2 - r1 + 1; |
257 octave_idx_type new_c = c2 - c1 + 1; | |
458 | 258 |
259 ComplexMatrix result (new_r, new_c); | |
260 | |
5275 | 261 for (octave_idx_type j = 0; j < new_c; j++) |
262 for (octave_idx_type i = 0; i < new_r; i++) | |
458 | 263 result.elem (i, j) = elem (r1+i, c1+j); |
264 | |
265 return result; | |
266 } | |
267 | |
268 // extract row or column i. | |
269 | |
270 ComplexRowVector | |
5275 | 271 ComplexDiagMatrix::row (octave_idx_type i) const |
458 | 272 { |
5275 | 273 octave_idx_type r = rows (); |
274 octave_idx_type c = cols (); | |
3504 | 275 if (i < 0 || i >= r) |
458 | 276 { |
277 (*current_liboctave_error_handler) ("invalid row selection"); | |
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278 return ComplexRowVector (); |
458 | 279 } |
280 | |
3504 | 281 ComplexRowVector retval (c, 0.0); |
282 if (r <= c || (r > c && i < c)) | |
458 | 283 retval.elem (i) = elem (i, i); |
284 | |
285 return retval; | |
286 } | |
287 | |
288 ComplexRowVector | |
289 ComplexDiagMatrix::row (char *s) const | |
290 { | |
533 | 291 if (! s) |
458 | 292 { |
293 (*current_liboctave_error_handler) ("invalid row selection"); | |
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294 return ComplexRowVector (); |
458 | 295 } |
296 | |
297 char c = *s; | |
298 if (c == 'f' || c == 'F') | |
5275 | 299 return row (static_cast<octave_idx_type>(0)); |
458 | 300 else if (c == 'l' || c == 'L') |
301 return row (rows () - 1); | |
302 else | |
303 { | |
304 (*current_liboctave_error_handler) ("invalid row selection"); | |
305 return ComplexRowVector (); | |
306 } | |
307 } | |
308 | |
309 ComplexColumnVector | |
5275 | 310 ComplexDiagMatrix::column (octave_idx_type i) const |
458 | 311 { |
5275 | 312 octave_idx_type r = rows (); |
313 octave_idx_type c = cols (); | |
3504 | 314 if (i < 0 || i >= c) |
458 | 315 { |
316 (*current_liboctave_error_handler) ("invalid column selection"); | |
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317 return ComplexColumnVector (); |
458 | 318 } |
319 | |
3504 | 320 ComplexColumnVector retval (r, 0.0); |
321 if (r >= c || (r < c && i < r)) | |
458 | 322 retval.elem (i) = elem (i, i); |
323 | |
324 return retval; | |
325 } | |
326 | |
327 ComplexColumnVector | |
328 ComplexDiagMatrix::column (char *s) const | |
329 { | |
533 | 330 if (! s) |
458 | 331 { |
332 (*current_liboctave_error_handler) ("invalid column selection"); | |
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333 return ComplexColumnVector (); |
458 | 334 } |
335 | |
336 char c = *s; | |
337 if (c == 'f' || c == 'F') | |
5275 | 338 return column (static_cast<octave_idx_type>(0)); |
458 | 339 else if (c == 'l' || c == 'L') |
340 return column (cols () - 1); | |
341 else | |
342 { | |
343 (*current_liboctave_error_handler) ("invalid column selection"); | |
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344 return ComplexColumnVector (); |
458 | 345 } |
346 } | |
347 | |
348 ComplexDiagMatrix | |
349 ComplexDiagMatrix::inverse (void) const | |
350 { | |
8811 | 351 octave_idx_type info; |
458 | 352 return inverse (info); |
353 } | |
354 | |
355 ComplexDiagMatrix | |
8811 | 356 ComplexDiagMatrix::inverse (octave_idx_type& info) const |
458 | 357 { |
5275 | 358 octave_idx_type r = rows (); |
359 octave_idx_type c = cols (); | |
3504 | 360 if (r != c) |
458 | 361 { |
362 (*current_liboctave_error_handler) ("inverse requires square matrix"); | |
3585 | 363 return ComplexDiagMatrix (); |
458 | 364 } |
365 | |
3504 | 366 ComplexDiagMatrix retval (r, c); |
458 | 367 |
368 info = 0; | |
5275 | 369 for (octave_idx_type i = 0; i < length (); i++) |
458 | 370 { |
371 if (elem (i, i) == 0.0) | |
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372 { |
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373 info = -1; |
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374 return *this; |
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375 } |
458 | 376 else |
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377 retval.elem (i, i) = 1.0 / elem (i, i); |
458 | 378 } |
379 | |
1627 | 380 return retval; |
458 | 381 } |
382 | |
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383 ComplexDiagMatrix |
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384 ComplexDiagMatrix::pseudo_inverse (void) const |
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385 { |
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386 octave_idx_type r = rows (); |
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387 octave_idx_type c = cols (); |
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388 octave_idx_type len = length (); |
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389 |
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390 ComplexDiagMatrix retval (c, r); |
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391 |
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392 for (octave_idx_type i = 0; i < len; i++) |
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393 { |
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394 if (elem (i, i) != 0.0) |
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395 retval.elem (i, i) = 1.0 / elem (i, i); |
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396 else |
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397 retval.elem (i, i) = 0.0; |
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398 } |
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399 |
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400 return retval; |
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401 } |
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402 |
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403 bool |
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404 ComplexDiagMatrix::all_elements_are_real (void) const |
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405 { |
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406 return mx_inline_all_real (length (), data ()); |
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407 } |
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408 |
458 | 409 // diagonal matrix by diagonal matrix -> diagonal matrix operations |
410 | |
411 ComplexDiagMatrix& | |
412 ComplexDiagMatrix::operator += (const DiagMatrix& a) | |
413 { | |
5275 | 414 octave_idx_type r = rows (); |
415 octave_idx_type c = cols (); | |
2386 | 416 |
5275 | 417 octave_idx_type a_nr = a.rows (); |
418 octave_idx_type a_nc = a.cols (); | |
2386 | 419 |
3504 | 420 if (r != a_nr || c != a_nc) |
458 | 421 { |
3504 | 422 gripe_nonconformant ("operator +=", r, c, a_nr, a_nc); |
458 | 423 return *this; |
424 } | |
425 | |
3504 | 426 if (r == 0 || c == 0) |
458 | 427 return *this; |
428 | |
429 Complex *d = fortran_vec (); // Ensures only one reference to my privates! | |
430 | |
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431 mx_inline_add2 (length (), d, a.data ()); |
458 | 432 return *this; |
433 } | |
434 | |
435 ComplexDiagMatrix | |
436 operator * (const ComplexDiagMatrix& a, const DiagMatrix& b) | |
437 { | |
5275 | 438 octave_idx_type a_nr = a.rows (); |
439 octave_idx_type a_nc = a.cols (); | |
2386 | 440 |
5275 | 441 octave_idx_type b_nr = b.rows (); |
442 octave_idx_type b_nc = b.cols (); | |
2386 | 443 |
3504 | 444 if (a_nc != b_nr) |
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445 gripe_nonconformant ("operator *", a_nr, a_nc, b_nr, b_nc); |
458 | 446 |
3504 | 447 ComplexDiagMatrix c (a_nr, b_nc); |
458 | 448 |
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449 octave_idx_type len = c.length (), lenm = len < a_nc ? len : a_nc; |
458 | 450 |
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451 for (octave_idx_type i = 0; i < lenm; i++) |
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452 c.dgxelem (i) = a.dgelem (i) * b.dgelem (i); |
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453 for (octave_idx_type i = lenm; i < len; i++) |
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454 c.dgxelem (i) = 0.0; |
458 | 455 |
456 return c; | |
457 } | |
458 | |
459 ComplexDiagMatrix | |
1205 | 460 operator * (const DiagMatrix& a, const ComplexDiagMatrix& b) |
461 { | |
5275 | 462 octave_idx_type a_nr = a.rows (); |
463 octave_idx_type a_nc = a.cols (); | |
2386 | 464 |
5275 | 465 octave_idx_type b_nr = b.rows (); |
466 octave_idx_type b_nc = b.cols (); | |
2386 | 467 |
3504 | 468 if (a_nc != b_nr) |
1205 | 469 { |
3504 | 470 gripe_nonconformant ("operator *", a_nr, a_nc, b_nr, b_nc); |
1205 | 471 return ComplexDiagMatrix (); |
472 } | |
473 | |
3504 | 474 if (a_nr == 0 || a_nc == 0 || b_nc == 0) |
475 return ComplexDiagMatrix (a_nr, a_nc, 0.0); | |
1205 | 476 |
3504 | 477 ComplexDiagMatrix c (a_nr, b_nc); |
1205 | 478 |
5275 | 479 octave_idx_type len = a_nr < b_nc ? a_nr : b_nc; |
1205 | 480 |
5275 | 481 for (octave_idx_type i = 0; i < len; i++) |
1205 | 482 { |
483 double a_element = a.elem (i, i); | |
484 Complex b_element = b.elem (i, i); | |
485 | |
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486 c.elem (i, i) = a_element * b_element; |
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487 } |
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488 |
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489 return c; |
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490 } |
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491 |
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492 ComplexDiagMatrix |
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493 operator * (const ComplexDiagMatrix& a, const ComplexDiagMatrix& b) |
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494 { |
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495 octave_idx_type a_nr = a.rows (); |
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496 octave_idx_type a_nc = a.cols (); |
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497 |
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498 octave_idx_type b_nr = b.rows (); |
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499 octave_idx_type b_nc = b.cols (); |
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500 |
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501 if (a_nc != b_nr) |
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502 { |
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503 gripe_nonconformant ("operator *", a_nr, a_nc, b_nr, b_nc); |
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504 return ComplexDiagMatrix (); |
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505 } |
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506 |
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507 if (a_nr == 0 || a_nc == 0 || b_nc == 0) |
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508 return ComplexDiagMatrix (a_nr, a_nc, 0.0); |
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509 |
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510 ComplexDiagMatrix c (a_nr, b_nc); |
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511 |
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512 octave_idx_type len = a_nr < b_nc ? a_nr : b_nc; |
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513 |
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514 for (octave_idx_type i = 0; i < len; i++) |
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515 { |
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516 Complex a_element = a.elem (i, i); |
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517 Complex b_element = b.elem (i, i); |
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518 |
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519 c.elem (i, i) = a_element * b_element; |
1205 | 520 } |
521 | |
522 return c; | |
523 } | |
524 | |
458 | 525 // other operations |
526 | |
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527 ComplexDET |
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528 ComplexDiagMatrix::determinant (void) const |
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529 { |
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530 ComplexDET det (1.0); |
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531 if (rows () != cols ()) |
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532 { |
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533 (*current_liboctave_error_handler) ("determinant requires square matrix"); |
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534 det = ComplexDET (0.0); |
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535 } |
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536 else |
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537 { |
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538 octave_idx_type len = length (); |
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539 for (octave_idx_type i = 0; i < len; i++) |
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540 det *= elem (i, i); |
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541 } |
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542 |
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543 return det; |
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544 } |
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545 |
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546 double |
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547 ComplexDiagMatrix::rcond (void) const |
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548 { |
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diff
changeset
|
549 ColumnVector av = extract_diag (0).map<double> (std::abs); |
8371
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550 double amx = av.max (), amn = av.min (); |
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551 return amx == 0 ? 0.0 : amn / amx; |
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552 } |
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|
553 |
458 | 554 // i/o |
555 | |
3504 | 556 std::ostream& |
557 operator << (std::ostream& os, const ComplexDiagMatrix& a) | |
458 | 558 { |
559 Complex ZERO (0.0); | |
560 // int field_width = os.precision () + 7; | |
5275 | 561 for (octave_idx_type i = 0; i < a.rows (); i++) |
458 | 562 { |
5275 | 563 for (octave_idx_type j = 0; j < a.cols (); j++) |
10314
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564 { |
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565 if (i == j) |
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566 os << " " /* setw (field_width) */ << a.elem (i, i); |
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567 else |
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568 os << " " /* setw (field_width) */ << ZERO; |
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|
569 } |
458 | 570 os << "\n"; |
571 } | |
572 return os; | |
573 } |