Mercurial > octave-nkf
annotate liboctave/CDiagMatrix.cc @ 9003:0631d397fbe0
replace lo_ieee_isnan by xisnan, add missing includes
author | Jaroslav Hajek <highegg@gmail.com> |
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date | Sat, 21 Mar 2009 20:46:21 +0100 |
parents | eb63fbe60fab |
children | 3d6a9aea2aea |
rev | line source |
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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 |
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 | |
3769 | 53 return mx_inline_equal (data (), a.data (), length ()); |
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 DiagMatrix retval (rows (), cols ()); |
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240 for (octave_idx_type i = 0; i < rows (); i++) |
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241 retval(i, i) = std::abs (elem (i, i)); |
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242 return retval; |
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243 } |
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244 |
458 | 245 ComplexDiagMatrix |
246 conj (const ComplexDiagMatrix& a) | |
247 { | |
248 ComplexDiagMatrix retval; | |
5275 | 249 octave_idx_type a_len = a.length (); |
458 | 250 if (a_len > 0) |
3769 | 251 retval = ComplexDiagMatrix (mx_inline_conj_dup (a.data (), a_len), |
458 | 252 a.rows (), a.cols ()); |
253 return retval; | |
254 } | |
255 | |
256 // resize is the destructive analog for this one | |
257 | |
258 ComplexMatrix | |
5275 | 259 ComplexDiagMatrix::extract (octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2) const |
458 | 260 { |
5275 | 261 if (r1 > r2) { octave_idx_type tmp = r1; r1 = r2; r2 = tmp; } |
262 if (c1 > c2) { octave_idx_type tmp = c1; c1 = c2; c2 = tmp; } | |
458 | 263 |
5275 | 264 octave_idx_type new_r = r2 - r1 + 1; |
265 octave_idx_type new_c = c2 - c1 + 1; | |
458 | 266 |
267 ComplexMatrix result (new_r, new_c); | |
268 | |
5275 | 269 for (octave_idx_type j = 0; j < new_c; j++) |
270 for (octave_idx_type i = 0; i < new_r; i++) | |
458 | 271 result.elem (i, j) = elem (r1+i, c1+j); |
272 | |
273 return result; | |
274 } | |
275 | |
276 // extract row or column i. | |
277 | |
278 ComplexRowVector | |
5275 | 279 ComplexDiagMatrix::row (octave_idx_type i) const |
458 | 280 { |
5275 | 281 octave_idx_type r = rows (); |
282 octave_idx_type c = cols (); | |
3504 | 283 if (i < 0 || i >= r) |
458 | 284 { |
285 (*current_liboctave_error_handler) ("invalid row selection"); | |
3585 | 286 return ComplexRowVector (); |
458 | 287 } |
288 | |
3504 | 289 ComplexRowVector retval (c, 0.0); |
290 if (r <= c || (r > c && i < c)) | |
458 | 291 retval.elem (i) = elem (i, i); |
292 | |
293 return retval; | |
294 } | |
295 | |
296 ComplexRowVector | |
297 ComplexDiagMatrix::row (char *s) const | |
298 { | |
533 | 299 if (! s) |
458 | 300 { |
301 (*current_liboctave_error_handler) ("invalid row selection"); | |
302 return ComplexRowVector (); | |
303 } | |
304 | |
305 char c = *s; | |
306 if (c == 'f' || c == 'F') | |
5275 | 307 return row (static_cast<octave_idx_type>(0)); |
458 | 308 else if (c == 'l' || c == 'L') |
309 return row (rows () - 1); | |
310 else | |
311 { | |
312 (*current_liboctave_error_handler) ("invalid row selection"); | |
313 return ComplexRowVector (); | |
314 } | |
315 } | |
316 | |
317 ComplexColumnVector | |
5275 | 318 ComplexDiagMatrix::column (octave_idx_type i) const |
458 | 319 { |
5275 | 320 octave_idx_type r = rows (); |
321 octave_idx_type c = cols (); | |
3504 | 322 if (i < 0 || i >= c) |
458 | 323 { |
324 (*current_liboctave_error_handler) ("invalid column selection"); | |
3585 | 325 return ComplexColumnVector (); |
458 | 326 } |
327 | |
3504 | 328 ComplexColumnVector retval (r, 0.0); |
329 if (r >= c || (r < c && i < r)) | |
458 | 330 retval.elem (i) = elem (i, i); |
331 | |
332 return retval; | |
333 } | |
334 | |
335 ComplexColumnVector | |
336 ComplexDiagMatrix::column (char *s) const | |
337 { | |
533 | 338 if (! s) |
458 | 339 { |
340 (*current_liboctave_error_handler) ("invalid column selection"); | |
3585 | 341 return ComplexColumnVector (); |
458 | 342 } |
343 | |
344 char c = *s; | |
345 if (c == 'f' || c == 'F') | |
5275 | 346 return column (static_cast<octave_idx_type>(0)); |
458 | 347 else if (c == 'l' || c == 'L') |
348 return column (cols () - 1); | |
349 else | |
350 { | |
351 (*current_liboctave_error_handler) ("invalid column selection"); | |
3585 | 352 return ComplexColumnVector (); |
458 | 353 } |
354 } | |
355 | |
356 ComplexDiagMatrix | |
357 ComplexDiagMatrix::inverse (void) const | |
358 { | |
8811 | 359 octave_idx_type info; |
458 | 360 return inverse (info); |
361 } | |
362 | |
363 ComplexDiagMatrix | |
8811 | 364 ComplexDiagMatrix::inverse (octave_idx_type& info) const |
458 | 365 { |
5275 | 366 octave_idx_type r = rows (); |
367 octave_idx_type c = cols (); | |
3504 | 368 if (r != c) |
458 | 369 { |
370 (*current_liboctave_error_handler) ("inverse requires square matrix"); | |
3585 | 371 return ComplexDiagMatrix (); |
458 | 372 } |
373 | |
3504 | 374 ComplexDiagMatrix retval (r, c); |
458 | 375 |
376 info = 0; | |
5275 | 377 for (octave_idx_type i = 0; i < length (); i++) |
458 | 378 { |
379 if (elem (i, i) == 0.0) | |
380 { | |
381 info = -1; | |
382 return *this; | |
383 } | |
384 else | |
385 retval.elem (i, i) = 1.0 / elem (i, i); | |
386 } | |
387 | |
1627 | 388 return retval; |
458 | 389 } |
390 | |
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391 ComplexDiagMatrix |
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392 ComplexDiagMatrix::pseudo_inverse (void) const |
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393 { |
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394 octave_idx_type r = rows (); |
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395 octave_idx_type c = cols (); |
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396 octave_idx_type len = length (); |
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397 |
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398 ComplexDiagMatrix retval (c, r); |
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399 |
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400 for (octave_idx_type i = 0; i < len; i++) |
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401 { |
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402 if (elem (i, i) != 0.0) |
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403 retval.elem (i, i) = 1.0 / elem (i, i); |
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404 else |
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405 retval.elem (i, i) = 0.0; |
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406 } |
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407 |
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408 return retval; |
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409 } |
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410 |
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411 bool |
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412 ComplexDiagMatrix::all_elements_are_real (void) const |
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413 { |
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414 octave_idx_type len = length (); |
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415 for (octave_idx_type i = 0; i < len; i++) |
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416 { |
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417 double ip = std::imag (elem (i, i)); |
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418 |
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419 if (ip != 0.0 || lo_ieee_signbit (ip)) |
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420 return false; |
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421 } |
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422 |
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423 return true; |
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424 } |
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425 |
458 | 426 // diagonal matrix by diagonal matrix -> diagonal matrix operations |
427 | |
428 ComplexDiagMatrix& | |
429 ComplexDiagMatrix::operator += (const DiagMatrix& a) | |
430 { | |
5275 | 431 octave_idx_type r = rows (); |
432 octave_idx_type c = cols (); | |
2386 | 433 |
5275 | 434 octave_idx_type a_nr = a.rows (); |
435 octave_idx_type a_nc = a.cols (); | |
2386 | 436 |
3504 | 437 if (r != a_nr || c != a_nc) |
458 | 438 { |
3504 | 439 gripe_nonconformant ("operator +=", r, c, a_nr, a_nc); |
458 | 440 return *this; |
441 } | |
442 | |
3504 | 443 if (r == 0 || c == 0) |
458 | 444 return *this; |
445 | |
446 Complex *d = fortran_vec (); // Ensures only one reference to my privates! | |
447 | |
3769 | 448 mx_inline_add2 (d, a.data (), length ()); |
458 | 449 return *this; |
450 } | |
451 | |
452 ComplexDiagMatrix | |
453 operator * (const ComplexDiagMatrix& a, const DiagMatrix& b) | |
454 { | |
5275 | 455 octave_idx_type a_nr = a.rows (); |
456 octave_idx_type a_nc = a.cols (); | |
2386 | 457 |
5275 | 458 octave_idx_type b_nr = b.rows (); |
459 octave_idx_type b_nc = b.cols (); | |
2386 | 460 |
3504 | 461 if (a_nc != b_nr) |
458 | 462 { |
3504 | 463 gripe_nonconformant ("operator *", a_nr, a_nc, b_nr, b_nc); |
458 | 464 return ComplexDiagMatrix (); |
465 } | |
466 | |
3504 | 467 if (a_nr == 0 || a_nc == 0 || b_nc == 0) |
468 return ComplexDiagMatrix (a_nr, a_nc, 0.0); | |
458 | 469 |
3504 | 470 ComplexDiagMatrix c (a_nr, b_nc); |
458 | 471 |
5275 | 472 octave_idx_type len = a_nr < b_nc ? a_nr : b_nc; |
458 | 473 |
5275 | 474 for (octave_idx_type i = 0; i < len; i++) |
458 | 475 { |
476 Complex a_element = a.elem (i, i); | |
477 double b_element = b.elem (i, i); | |
478 | |
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479 c.elem (i, i) = a_element * b_element; |
458 | 480 } |
481 | |
482 return c; | |
483 } | |
484 | |
485 ComplexDiagMatrix | |
1205 | 486 operator * (const DiagMatrix& a, const ComplexDiagMatrix& b) |
487 { | |
5275 | 488 octave_idx_type a_nr = a.rows (); |
489 octave_idx_type a_nc = a.cols (); | |
2386 | 490 |
5275 | 491 octave_idx_type b_nr = b.rows (); |
492 octave_idx_type b_nc = b.cols (); | |
2386 | 493 |
3504 | 494 if (a_nc != b_nr) |
1205 | 495 { |
3504 | 496 gripe_nonconformant ("operator *", a_nr, a_nc, b_nr, b_nc); |
1205 | 497 return ComplexDiagMatrix (); |
498 } | |
499 | |
3504 | 500 if (a_nr == 0 || a_nc == 0 || b_nc == 0) |
501 return ComplexDiagMatrix (a_nr, a_nc, 0.0); | |
1205 | 502 |
3504 | 503 ComplexDiagMatrix c (a_nr, b_nc); |
1205 | 504 |
5275 | 505 octave_idx_type len = a_nr < b_nc ? a_nr : b_nc; |
1205 | 506 |
5275 | 507 for (octave_idx_type i = 0; i < len; i++) |
1205 | 508 { |
509 double a_element = a.elem (i, i); | |
510 Complex b_element = b.elem (i, i); | |
511 | |
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512 c.elem (i, i) = a_element * b_element; |
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513 } |
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514 |
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515 return c; |
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516 } |
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517 |
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518 ComplexDiagMatrix |
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519 operator * (const ComplexDiagMatrix& a, const ComplexDiagMatrix& b) |
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520 { |
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521 octave_idx_type a_nr = a.rows (); |
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522 octave_idx_type a_nc = a.cols (); |
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523 |
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524 octave_idx_type b_nr = b.rows (); |
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525 octave_idx_type b_nc = b.cols (); |
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526 |
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527 if (a_nc != b_nr) |
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528 { |
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529 gripe_nonconformant ("operator *", a_nr, a_nc, b_nr, b_nc); |
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530 return ComplexDiagMatrix (); |
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531 } |
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532 |
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533 if (a_nr == 0 || a_nc == 0 || b_nc == 0) |
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534 return ComplexDiagMatrix (a_nr, a_nc, 0.0); |
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535 |
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536 ComplexDiagMatrix c (a_nr, b_nc); |
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537 |
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538 octave_idx_type len = a_nr < b_nc ? a_nr : b_nc; |
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539 |
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540 for (octave_idx_type i = 0; i < len; i++) |
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541 { |
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542 Complex a_element = a.elem (i, i); |
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543 Complex b_element = b.elem (i, i); |
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544 |
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545 c.elem (i, i) = a_element * b_element; |
1205 | 546 } |
547 | |
548 return c; | |
549 } | |
550 | |
458 | 551 // other operations |
552 | |
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553 ComplexDET |
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554 ComplexDiagMatrix::determinant (void) const |
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555 { |
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556 ComplexDET det (1.0); |
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557 if (rows () != cols ()) |
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558 { |
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559 (*current_liboctave_error_handler) ("determinant requires square matrix"); |
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560 det = ComplexDET (0.0); |
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561 } |
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562 else |
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563 { |
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564 octave_idx_type len = length (); |
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565 for (octave_idx_type i = 0; i < len; i++) |
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566 det *= elem (i, i); |
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567 } |
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568 |
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569 return det; |
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570 } |
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571 |
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572 double |
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573 ComplexDiagMatrix::rcond (void) const |
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574 { |
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575 ColumnVector av = diag (0).map (std::abs); |
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576 double amx = av.max (), amn = av.min (); |
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577 return amx == 0 ? 0.0 : amn / amx; |
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578 } |
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579 |
458 | 580 // i/o |
581 | |
3504 | 582 std::ostream& |
583 operator << (std::ostream& os, const ComplexDiagMatrix& a) | |
458 | 584 { |
585 Complex ZERO (0.0); | |
586 // int field_width = os.precision () + 7; | |
5275 | 587 for (octave_idx_type i = 0; i < a.rows (); i++) |
458 | 588 { |
5275 | 589 for (octave_idx_type j = 0; j < a.cols (); j++) |
458 | 590 { |
591 if (i == j) | |
592 os << " " /* setw (field_width) */ << a.elem (i, i); | |
593 else | |
594 os << " " /* setw (field_width) */ << ZERO; | |
595 } | |
596 os << "\n"; | |
597 } | |
598 return os; | |
599 } | |
600 | |
601 /* | |
602 ;;; Local Variables: *** | |
603 ;;; mode: C++ *** | |
604 ;;; End: *** | |
605 */ |