Mercurial > hg > octave-nkf
annotate liboctave/CDiagMatrix.cc @ 10396:a0b51ac0f88a
optimize accumdim with summation
author | Jaroslav Hajek <highegg@gmail.com> |
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date | Fri, 05 Mar 2010 12:31:30 +0100 |
parents | a0728e81ed25 |
children | fd0a3ac60b0e |
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 |
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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 return DiagMatrix (diag ().abs (), rows (), columns ()); |
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241 } |
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242 |
458 | 243 ComplexDiagMatrix |
244 conj (const ComplexDiagMatrix& a) | |
245 { | |
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246 return ComplexDiagMatrix (conj (a.diag ()), a.rows (), a.columns ()); |
458 | 247 } |
248 | |
249 // resize is the destructive analog for this one | |
250 | |
251 ComplexMatrix | |
5275 | 252 ComplexDiagMatrix::extract (octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2) const |
458 | 253 { |
5275 | 254 if (r1 > r2) { octave_idx_type tmp = r1; r1 = r2; r2 = tmp; } |
255 if (c1 > c2) { octave_idx_type tmp = c1; c1 = c2; c2 = tmp; } | |
458 | 256 |
5275 | 257 octave_idx_type new_r = r2 - r1 + 1; |
258 octave_idx_type new_c = c2 - c1 + 1; | |
458 | 259 |
260 ComplexMatrix result (new_r, new_c); | |
261 | |
5275 | 262 for (octave_idx_type j = 0; j < new_c; j++) |
263 for (octave_idx_type i = 0; i < new_r; i++) | |
458 | 264 result.elem (i, j) = elem (r1+i, c1+j); |
265 | |
266 return result; | |
267 } | |
268 | |
269 // extract row or column i. | |
270 | |
271 ComplexRowVector | |
5275 | 272 ComplexDiagMatrix::row (octave_idx_type i) const |
458 | 273 { |
5275 | 274 octave_idx_type r = rows (); |
275 octave_idx_type c = cols (); | |
3504 | 276 if (i < 0 || i >= r) |
458 | 277 { |
278 (*current_liboctave_error_handler) ("invalid row selection"); | |
3585 | 279 return ComplexRowVector (); |
458 | 280 } |
281 | |
3504 | 282 ComplexRowVector retval (c, 0.0); |
283 if (r <= c || (r > c && i < c)) | |
458 | 284 retval.elem (i) = elem (i, i); |
285 | |
286 return retval; | |
287 } | |
288 | |
289 ComplexRowVector | |
290 ComplexDiagMatrix::row (char *s) const | |
291 { | |
533 | 292 if (! s) |
458 | 293 { |
294 (*current_liboctave_error_handler) ("invalid row selection"); | |
295 return ComplexRowVector (); | |
296 } | |
297 | |
298 char c = *s; | |
299 if (c == 'f' || c == 'F') | |
5275 | 300 return row (static_cast<octave_idx_type>(0)); |
458 | 301 else if (c == 'l' || c == 'L') |
302 return row (rows () - 1); | |
303 else | |
304 { | |
305 (*current_liboctave_error_handler) ("invalid row selection"); | |
306 return ComplexRowVector (); | |
307 } | |
308 } | |
309 | |
310 ComplexColumnVector | |
5275 | 311 ComplexDiagMatrix::column (octave_idx_type i) const |
458 | 312 { |
5275 | 313 octave_idx_type r = rows (); |
314 octave_idx_type c = cols (); | |
3504 | 315 if (i < 0 || i >= c) |
458 | 316 { |
317 (*current_liboctave_error_handler) ("invalid column selection"); | |
3585 | 318 return ComplexColumnVector (); |
458 | 319 } |
320 | |
3504 | 321 ComplexColumnVector retval (r, 0.0); |
322 if (r >= c || (r < c && i < r)) | |
458 | 323 retval.elem (i) = elem (i, i); |
324 | |
325 return retval; | |
326 } | |
327 | |
328 ComplexColumnVector | |
329 ComplexDiagMatrix::column (char *s) const | |
330 { | |
533 | 331 if (! s) |
458 | 332 { |
333 (*current_liboctave_error_handler) ("invalid column selection"); | |
3585 | 334 return ComplexColumnVector (); |
458 | 335 } |
336 | |
337 char c = *s; | |
338 if (c == 'f' || c == 'F') | |
5275 | 339 return column (static_cast<octave_idx_type>(0)); |
458 | 340 else if (c == 'l' || c == 'L') |
341 return column (cols () - 1); | |
342 else | |
343 { | |
344 (*current_liboctave_error_handler) ("invalid column selection"); | |
3585 | 345 return ComplexColumnVector (); |
458 | 346 } |
347 } | |
348 | |
349 ComplexDiagMatrix | |
350 ComplexDiagMatrix::inverse (void) const | |
351 { | |
8811 | 352 octave_idx_type info; |
458 | 353 return inverse (info); |
354 } | |
355 | |
356 ComplexDiagMatrix | |
8811 | 357 ComplexDiagMatrix::inverse (octave_idx_type& info) const |
458 | 358 { |
5275 | 359 octave_idx_type r = rows (); |
360 octave_idx_type c = cols (); | |
3504 | 361 if (r != c) |
458 | 362 { |
363 (*current_liboctave_error_handler) ("inverse requires square matrix"); | |
3585 | 364 return ComplexDiagMatrix (); |
458 | 365 } |
366 | |
3504 | 367 ComplexDiagMatrix retval (r, c); |
458 | 368 |
369 info = 0; | |
5275 | 370 for (octave_idx_type i = 0; i < length (); i++) |
458 | 371 { |
372 if (elem (i, i) == 0.0) | |
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373 { |
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374 info = -1; |
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375 return *this; |
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376 } |
458 | 377 else |
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378 retval.elem (i, i) = 1.0 / elem (i, i); |
458 | 379 } |
380 | |
1627 | 381 return retval; |
458 | 382 } |
383 | |
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384 ComplexDiagMatrix |
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385 ComplexDiagMatrix::pseudo_inverse (void) const |
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386 { |
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387 octave_idx_type r = rows (); |
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388 octave_idx_type c = cols (); |
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389 octave_idx_type len = length (); |
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390 |
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391 ComplexDiagMatrix retval (c, r); |
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392 |
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393 for (octave_idx_type i = 0; i < len; i++) |
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394 { |
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395 if (elem (i, i) != 0.0) |
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396 retval.elem (i, i) = 1.0 / elem (i, i); |
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397 else |
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398 retval.elem (i, i) = 0.0; |
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399 } |
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400 |
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401 return retval; |
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402 } |
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403 |
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404 bool |
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405 ComplexDiagMatrix::all_elements_are_real (void) const |
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406 { |
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407 return mx_inline_all_real (length (), data ()); |
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408 } |
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409 |
458 | 410 // diagonal matrix by diagonal matrix -> diagonal matrix operations |
411 | |
412 ComplexDiagMatrix& | |
413 ComplexDiagMatrix::operator += (const DiagMatrix& a) | |
414 { | |
5275 | 415 octave_idx_type r = rows (); |
416 octave_idx_type c = cols (); | |
2386 | 417 |
5275 | 418 octave_idx_type a_nr = a.rows (); |
419 octave_idx_type a_nc = a.cols (); | |
2386 | 420 |
3504 | 421 if (r != a_nr || c != a_nc) |
458 | 422 { |
3504 | 423 gripe_nonconformant ("operator +=", r, c, a_nr, a_nc); |
458 | 424 return *this; |
425 } | |
426 | |
3504 | 427 if (r == 0 || c == 0) |
458 | 428 return *this; |
429 | |
430 Complex *d = fortran_vec (); // Ensures only one reference to my privates! | |
431 | |
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432 mx_inline_add2 (length (), d, a.data ()); |
458 | 433 return *this; |
434 } | |
435 | |
436 ComplexDiagMatrix | |
437 operator * (const ComplexDiagMatrix& a, const DiagMatrix& b) | |
438 { | |
5275 | 439 octave_idx_type a_nr = a.rows (); |
440 octave_idx_type a_nc = a.cols (); | |
2386 | 441 |
5275 | 442 octave_idx_type b_nr = b.rows (); |
443 octave_idx_type b_nc = b.cols (); | |
2386 | 444 |
3504 | 445 if (a_nc != b_nr) |
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446 gripe_nonconformant ("operator *", a_nr, a_nc, b_nr, b_nc); |
458 | 447 |
3504 | 448 ComplexDiagMatrix c (a_nr, b_nc); |
458 | 449 |
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450 octave_idx_type len = c.length (), lenm = len < a_nc ? len : a_nc; |
458 | 451 |
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452 for (octave_idx_type i = 0; i < lenm; i++) |
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453 c.dgxelem (i) = a.dgelem (i) * b.dgelem (i); |
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454 for (octave_idx_type i = lenm; i < len; i++) |
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455 c.dgxelem (i) = 0.0; |
458 | 456 |
457 return c; | |
458 } | |
459 | |
460 ComplexDiagMatrix | |
1205 | 461 operator * (const DiagMatrix& a, const ComplexDiagMatrix& b) |
462 { | |
5275 | 463 octave_idx_type a_nr = a.rows (); |
464 octave_idx_type a_nc = a.cols (); | |
2386 | 465 |
5275 | 466 octave_idx_type b_nr = b.rows (); |
467 octave_idx_type b_nc = b.cols (); | |
2386 | 468 |
3504 | 469 if (a_nc != b_nr) |
1205 | 470 { |
3504 | 471 gripe_nonconformant ("operator *", a_nr, a_nc, b_nr, b_nc); |
1205 | 472 return ComplexDiagMatrix (); |
473 } | |
474 | |
3504 | 475 if (a_nr == 0 || a_nc == 0 || b_nc == 0) |
476 return ComplexDiagMatrix (a_nr, a_nc, 0.0); | |
1205 | 477 |
3504 | 478 ComplexDiagMatrix c (a_nr, b_nc); |
1205 | 479 |
5275 | 480 octave_idx_type len = a_nr < b_nc ? a_nr : b_nc; |
1205 | 481 |
5275 | 482 for (octave_idx_type i = 0; i < len; i++) |
1205 | 483 { |
484 double a_element = a.elem (i, i); | |
485 Complex b_element = b.elem (i, i); | |
486 | |
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487 c.elem (i, i) = a_element * b_element; |
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488 } |
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489 |
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490 return c; |
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491 } |
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492 |
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493 ComplexDiagMatrix |
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494 operator * (const ComplexDiagMatrix& a, const ComplexDiagMatrix& b) |
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495 { |
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496 octave_idx_type a_nr = a.rows (); |
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497 octave_idx_type a_nc = a.cols (); |
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498 |
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499 octave_idx_type b_nr = b.rows (); |
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500 octave_idx_type b_nc = b.cols (); |
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501 |
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502 if (a_nc != b_nr) |
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503 { |
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504 gripe_nonconformant ("operator *", a_nr, a_nc, b_nr, b_nc); |
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505 return ComplexDiagMatrix (); |
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506 } |
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507 |
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508 if (a_nr == 0 || a_nc == 0 || b_nc == 0) |
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509 return ComplexDiagMatrix (a_nr, a_nc, 0.0); |
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510 |
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511 ComplexDiagMatrix c (a_nr, b_nc); |
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512 |
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513 octave_idx_type len = a_nr < b_nc ? a_nr : b_nc; |
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514 |
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515 for (octave_idx_type i = 0; i < len; i++) |
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516 { |
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517 Complex a_element = a.elem (i, i); |
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518 Complex b_element = b.elem (i, i); |
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519 |
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520 c.elem (i, i) = a_element * b_element; |
1205 | 521 } |
522 | |
523 return c; | |
524 } | |
525 | |
458 | 526 // other operations |
527 | |
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528 ComplexDET |
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529 ComplexDiagMatrix::determinant (void) const |
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530 { |
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531 ComplexDET det (1.0); |
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532 if (rows () != cols ()) |
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533 { |
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534 (*current_liboctave_error_handler) ("determinant requires square matrix"); |
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535 det = ComplexDET (0.0); |
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536 } |
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537 else |
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538 { |
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539 octave_idx_type len = length (); |
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540 for (octave_idx_type i = 0; i < len; i++) |
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541 det *= elem (i, i); |
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542 } |
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543 |
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544 return det; |
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545 } |
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546 |
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547 double |
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548 ComplexDiagMatrix::rcond (void) const |
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549 { |
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550 ColumnVector av = diag (0).map<double> (std::abs); |
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551 double amx = av.max (), amn = av.min (); |
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552 return amx == 0 ? 0.0 : amn / amx; |
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553 } |
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554 |
458 | 555 // i/o |
556 | |
3504 | 557 std::ostream& |
558 operator << (std::ostream& os, const ComplexDiagMatrix& a) | |
458 | 559 { |
560 Complex ZERO (0.0); | |
561 // int field_width = os.precision () + 7; | |
5275 | 562 for (octave_idx_type i = 0; i < a.rows (); i++) |
458 | 563 { |
5275 | 564 for (octave_idx_type j = 0; j < a.cols (); j++) |
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565 { |
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566 if (i == j) |
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567 os << " " /* setw (field_width) */ << a.elem (i, i); |
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568 else |
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569 os << " " /* setw (field_width) */ << ZERO; |
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570 } |
458 | 571 os << "\n"; |
572 } | |
573 return os; | |
574 } |