1 | /* blas/blas.c |
2 | * |
3 | * Copyright (C) 1996, 1997, 1998, 1999, 2000, 2001, 2009 Gerard Jungman & Brian |
4 | * Gough |
5 | * |
6 | * This program is free software; you can redistribute it and/or modify |
7 | * it under the terms of the GNU General Public License as published by |
8 | * the Free Software Foundation; either version 3 of the License, or (at |
9 | * your option) any later version. |
10 | * |
11 | * This program is distributed in the hope that it will be useful, but |
12 | * WITHOUT ANY WARRANTY; without even the implied warranty of |
13 | * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU |
14 | * General Public License for more details. |
15 | * |
16 | * You should have received a copy of the GNU General Public License |
17 | * along with this program; if not, write to the Free Software |
18 | * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA. |
19 | */ |
20 | |
21 | /* GSL implementation of BLAS operations for vectors and dense |
22 | * matrices. Note that GSL native storage is row-major. */ |
23 | |
24 | #include <config.h> |
25 | #include <gsl/gsl_math.h> |
26 | #include <gsl/gsl_errno.h> |
27 | #include <gsl/gsl_cblas.h> |
28 | #include <gsl/gsl_cblas.h> |
29 | #include <gsl/gsl_blas_types.h> |
30 | #include <gsl/gsl_blas.h> |
31 | |
32 | /* ======================================================================== |
33 | * Level 1 |
34 | * ======================================================================== |
35 | */ |
36 | |
37 | /* CBLAS defines vector sizes in terms of int. GSL defines sizes in |
38 | terms of size_t, so we need to convert these into integers. There |
39 | is the possibility of overflow here. FIXME: Maybe this could be |
40 | caught */ |
41 | |
42 | #define INT(X) ((int)(X)) |
43 | |
44 | int |
45 | gsl_blas_sdsdot (float alpha, const gsl_vector_float * X, |
46 | const gsl_vector_float * Y, float *result) |
47 | { |
48 | if (X->size == Y->size) |
49 | { |
50 | *result = |
51 | cblas_sdsdot (INT (X->size), alpha, X->data, INT (X->stride), Y->data, |
52 | INT (Y->stride)); |
53 | return GSL_SUCCESS; |
54 | } |
55 | else |
56 | { |
57 | GSL_ERROR ("invalid length", GSL_EBADLEN); |
58 | } |
59 | } |
60 | |
61 | int |
62 | gsl_blas_dsdot (const gsl_vector_float * X, const gsl_vector_float * Y, |
63 | double *result) |
64 | { |
65 | if (X->size == Y->size) |
66 | { |
67 | *result = |
68 | cblas_dsdot (INT (X->size), X->data, INT (X->stride), Y->data, |
69 | INT (Y->stride)); |
70 | return GSL_SUCCESS; |
71 | } |
72 | else |
73 | { |
74 | GSL_ERROR ("invalid length", GSL_EBADLEN); |
75 | } |
76 | } |
77 | |
78 | int |
79 | gsl_blas_sdot (const gsl_vector_float * X, const gsl_vector_float * Y, |
80 | float *result) |
81 | { |
82 | if (X->size == Y->size) |
83 | { |
84 | *result = |
85 | cblas_sdot (INT (X->size), X->data, INT (X->stride), Y->data, |
86 | INT (Y->stride)); |
87 | return GSL_SUCCESS; |
88 | } |
89 | else |
90 | { |
91 | GSL_ERROR ("invalid length", GSL_EBADLEN); |
92 | } |
93 | } |
94 | |
95 | int |
96 | gsl_blas_ddot (const gsl_vector * X, const gsl_vector * Y, double *result) |
| 5Enter function.    gsl_blas_ddot(p, gradient, &pg) |
97 | { |
98 | if (X->size == Y->size) |
| 6Take the false branch.    X->size == Y->size |
99 | { |
100 | *result = |
101 | cblas_ddot (INT (X->size), X->data, INT (X->stride), Y->data, |
102 | INT (Y->stride)); |
103 | return GSL_SUCCESS; |
104 | } |
105 | else |
106 | { |
107 | GSL_ERROR ("invalid length", GSL_EBADLEN); |
| 7Call a function.    gsl_error("invalid length", "/home/xingming/workplace/experiment/fp/gsl-2.1/blas/blas.c", 107, GSL_EBADLEN) |
108 | } |
109 | } |
| 11Exit function.    gsl_blas_ddot(p, gradient, &pg) |
110 | |
111 | |
112 | int |
113 | gsl_blas_cdotu (const gsl_vector_complex_float * X, |
114 | const gsl_vector_complex_float * Y, gsl_complex_float * dotu) |
115 | { |
116 | if (X->size == Y->size) |
117 | { |
118 | cblas_cdotu_sub (INT (X->size), X->data, INT (X->stride), Y->data, |
119 | INT (Y->stride), GSL_COMPLEX_P (dotu)); |
120 | return GSL_SUCCESS; |
121 | } |
122 | else |
123 | { |
124 | GSL_ERROR ("invalid length", GSL_EBADLEN); |
125 | } |
126 | } |
127 | |
128 | |
129 | int |
130 | gsl_blas_cdotc (const gsl_vector_complex_float * X, |
131 | const gsl_vector_complex_float * Y, gsl_complex_float * dotc) |
132 | { |
133 | if (X->size == Y->size) |
134 | { |
135 | cblas_cdotc_sub (INT (X->size), X->data, INT (X->stride), Y->data, |
136 | INT (Y->stride), GSL_COMPLEX_P (dotc)); |
137 | return GSL_SUCCESS; |
138 | } |
139 | else |
140 | { |
141 | GSL_ERROR ("invalid length", GSL_EBADLEN); |
142 | } |
143 | } |
144 | |
145 | |
146 | int |
147 | gsl_blas_zdotu (const gsl_vector_complex * X, const gsl_vector_complex * Y, |
148 | gsl_complex * dotu) |
149 | { |
150 | if (X->size == Y->size) |
151 | { |
152 | cblas_zdotu_sub (INT (X->size), X->data, INT (X->stride), Y->data, |
153 | INT (Y->stride), GSL_COMPLEX_P (dotu)); |
154 | return GSL_SUCCESS; |
155 | } |
156 | else |
157 | { |
158 | GSL_ERROR ("invalid length", GSL_EBADLEN); |
159 | } |
160 | } |
161 | |
162 | |
163 | int |
164 | gsl_blas_zdotc (const gsl_vector_complex * X, const gsl_vector_complex * Y, |
165 | gsl_complex * dotc) |
166 | { |
167 | if (X->size == Y->size) |
168 | { |
169 | cblas_zdotc_sub (INT (X->size), X->data, INT (X->stride), Y->data, |
170 | INT (Y->stride), GSL_COMPLEX_P (dotc)); |
171 | return GSL_SUCCESS; |
172 | } |
173 | else |
174 | { |
175 | GSL_ERROR ("invalid length", GSL_EBADLEN); |
176 | } |
177 | } |
178 | |
179 | /* Norms of vectors */ |
180 | |
181 | float |
182 | gsl_blas_snrm2 (const gsl_vector_float * X) |
183 | { |
184 | return cblas_snrm2 (INT (X->size), X->data, INT (X->stride)); |
185 | } |
186 | |
187 | double |
188 | gsl_blas_dnrm2 (const gsl_vector * X) |
189 | { |
190 | return cblas_dnrm2 (INT (X->size), X->data, INT (X->stride)); |
191 | } |
192 | |
193 | float |
194 | gsl_blas_scnrm2 (const gsl_vector_complex_float * X) |
195 | { |
196 | return cblas_scnrm2 (INT (X->size), X->data, INT (X->stride)); |
197 | } |
198 | |
199 | double |
200 | gsl_blas_dznrm2 (const gsl_vector_complex * X) |
201 | { |
202 | return cblas_dznrm2 (INT (X->size), X->data, INT (X->stride)); |
203 | } |
204 | |
205 | /* Absolute sums of vectors */ |
206 | |
207 | float |
208 | gsl_blas_sasum (const gsl_vector_float * X) |
209 | { |
210 | return cblas_sasum (INT (X->size), X->data, INT (X->stride)); |
211 | } |
212 | |
213 | double |
214 | gsl_blas_dasum (const gsl_vector * X) |
215 | { |
216 | return cblas_dasum (INT (X->size), X->data, INT (X->stride)); |
217 | } |
218 | |
219 | float |
220 | gsl_blas_scasum (const gsl_vector_complex_float * X) |
221 | { |
222 | return cblas_scasum (INT (X->size), X->data, INT (X->stride)); |
223 | } |
224 | |
225 | double |
226 | gsl_blas_dzasum (const gsl_vector_complex * X) |
227 | { |
228 | return cblas_dzasum (INT (X->size), X->data, INT (X->stride)); |
229 | } |
230 | |
231 | /* Maximum elements of vectors */ |
232 | |
233 | CBLAS_INDEX_t |
234 | gsl_blas_isamax (const gsl_vector_float * X) |
235 | { |
236 | return cblas_isamax (INT (X->size), X->data, INT (X->stride)); |
237 | } |
238 | |
239 | CBLAS_INDEX_t |
240 | gsl_blas_idamax (const gsl_vector * X) |
241 | { |
242 | return cblas_idamax (INT (X->size), X->data, INT (X->stride)); |
243 | } |
244 | |
245 | CBLAS_INDEX_t |
246 | gsl_blas_icamax (const gsl_vector_complex_float * X) |
247 | { |
248 | return cblas_icamax (INT (X->size), X->data, INT (X->stride)); |
249 | } |
250 | |
251 | CBLAS_INDEX_t |
252 | gsl_blas_izamax (const gsl_vector_complex * X) |
253 | { |
254 | return cblas_izamax (INT (X->size), X->data, INT (X->stride)); |
255 | } |
256 | |
257 | |
258 | /* Swap vectors */ |
259 | |
260 | int |
261 | gsl_blas_sswap (gsl_vector_float * X, gsl_vector_float * Y) |
262 | { |
263 | if (X->size == Y->size) |
264 | { |
265 | cblas_sswap (INT (X->size), X->data, INT (X->stride), Y->data, |
266 | INT (Y->stride)); |
267 | return GSL_SUCCESS; |
268 | } |
269 | else |
270 | { |
271 | GSL_ERROR ("invalid length", GSL_EBADLEN); |
272 | } |
273 | } |
274 | |
275 | int |
276 | gsl_blas_dswap (gsl_vector * X, gsl_vector * Y) |
277 | { |
278 | if (X->size == Y->size) |
279 | { |
280 | cblas_dswap (INT (X->size), X->data, INT (X->stride), Y->data, |
281 | INT (Y->stride)); |
282 | return GSL_SUCCESS; |
283 | } |
284 | else |
285 | { |
286 | GSL_ERROR ("invalid length", GSL_EBADLEN); |
287 | }; |
288 | } |
289 | |
290 | int |
291 | gsl_blas_cswap (gsl_vector_complex_float * X, gsl_vector_complex_float * Y) |
292 | { |
293 | if (X->size == Y->size) |
294 | { |
295 | cblas_cswap (INT (X->size), X->data, INT (X->stride), Y->data, |
296 | INT (Y->stride)); |
297 | return GSL_SUCCESS; |
298 | } |
299 | else |
300 | { |
301 | GSL_ERROR ("invalid length", GSL_EBADLEN); |
302 | } |
303 | } |
304 | |
305 | int |
306 | gsl_blas_zswap (gsl_vector_complex * X, gsl_vector_complex * Y) |
307 | { |
308 | if (X->size == Y->size) |
309 | { |
310 | cblas_zswap (INT (X->size), X->data, INT (X->stride), Y->data, |
311 | INT (Y->stride)); |
312 | return GSL_SUCCESS; |
313 | } |
314 | else |
315 | { |
316 | GSL_ERROR ("invalid length", GSL_EBADLEN); |
317 | } |
318 | } |
319 | |
320 | |
321 | /* Copy vectors */ |
322 | |
323 | int |
324 | gsl_blas_scopy (const gsl_vector_float * X, gsl_vector_float * Y) |
325 | { |
326 | if (X->size == Y->size) |
327 | { |
328 | cblas_scopy (INT (X->size), X->data, INT (X->stride), Y->data, |
329 | INT (Y->stride)); |
330 | return GSL_SUCCESS; |
331 | } |
332 | else |
333 | { |
334 | GSL_ERROR ("invalid length", GSL_EBADLEN); |
335 | } |
336 | } |
337 | |
338 | int |
339 | gsl_blas_dcopy (const gsl_vector * X, gsl_vector * Y) |
340 | { |
341 | if (X->size == Y->size) |
342 | { |
343 | cblas_dcopy (INT (X->size), X->data, INT (X->stride), Y->data, |
344 | INT (Y->stride)); |
345 | return GSL_SUCCESS; |
346 | } |
347 | else |
348 | { |
349 | GSL_ERROR ("invalid length", GSL_EBADLEN); |
350 | } |
351 | } |
352 | |
353 | int |
354 | gsl_blas_ccopy (const gsl_vector_complex_float * X, |
355 | gsl_vector_complex_float * Y) |
356 | { |
357 | if (X->size == Y->size) |
358 | { |
359 | cblas_ccopy (INT (X->size), X->data, INT (X->stride), Y->data, |
360 | INT (Y->stride)); |
361 | return GSL_SUCCESS; |
362 | } |
363 | else |
364 | { |
365 | GSL_ERROR ("invalid length", GSL_EBADLEN); |
366 | } |
367 | } |
368 | |
369 | int |
370 | gsl_blas_zcopy (const gsl_vector_complex * X, gsl_vector_complex * Y) |
371 | { |
372 | if (X->size == Y->size) |
373 | { |
374 | cblas_zcopy (INT (X->size), X->data, INT (X->stride), Y->data, |
375 | INT (Y->stride)); |
376 | return GSL_SUCCESS; |
377 | } |
378 | else |
379 | { |
380 | GSL_ERROR ("invalid length", GSL_EBADLEN); |
381 | } |
382 | } |
383 | |
384 | |
385 | /* Compute Y = alpha X + Y */ |
386 | |
387 | int |
388 | gsl_blas_saxpy (float alpha, const gsl_vector_float * X, gsl_vector_float * Y) |
389 | { |
390 | if (X->size == Y->size) |
391 | { |
392 | cblas_saxpy (INT (X->size), alpha, X->data, INT (X->stride), Y->data, |
393 | INT (Y->stride)); |
394 | return GSL_SUCCESS; |
395 | } |
396 | else |
397 | { |
398 | GSL_ERROR ("invalid length", GSL_EBADLEN); |
399 | } |
400 | } |
401 | |
402 | int |
403 | gsl_blas_daxpy (double alpha, const gsl_vector * X, gsl_vector * Y) |
404 | { |
405 | if (X->size == Y->size) |
406 | { |
407 | cblas_daxpy (INT (X->size), alpha, X->data, INT (X->stride), Y->data, |
408 | INT (Y->stride)); |
409 | return GSL_SUCCESS; |
410 | } |
411 | else |
412 | { |
413 | GSL_ERROR ("invalid length", GSL_EBADLEN); |
414 | } |
415 | } |
416 | |
417 | int |
418 | gsl_blas_caxpy (const gsl_complex_float alpha, |
419 | const gsl_vector_complex_float * X, |
420 | gsl_vector_complex_float * Y) |
421 | { |
422 | if (X->size == Y->size) |
423 | { |
424 | cblas_caxpy (INT (X->size), GSL_COMPLEX_P (&alpha), X->data, |
425 | INT (X->stride), Y->data, INT (Y->stride)); |
426 | return GSL_SUCCESS; |
427 | } |
428 | else |
429 | { |
430 | GSL_ERROR ("invalid length", GSL_EBADLEN); |
431 | } |
432 | } |
433 | |
434 | int |
435 | gsl_blas_zaxpy (const gsl_complex alpha, const gsl_vector_complex * X, |
436 | gsl_vector_complex * Y) |
437 | { |
438 | if (X->size == Y->size) |
439 | { |
440 | cblas_zaxpy (INT (X->size), GSL_COMPLEX_P (&alpha), X->data, |
441 | INT (X->stride), Y->data, INT (Y->stride)); |
442 | return GSL_SUCCESS; |
443 | } |
444 | else |
445 | { |
446 | GSL_ERROR ("invalid length", GSL_EBADLEN); |
447 | } |
448 | } |
449 | |
450 | /* Generate rotation */ |
451 | |
452 | int |
453 | gsl_blas_srotg (float a[], float b[], float c[], float s[]) |
454 | { |
455 | cblas_srotg (a, b, c, s); |
456 | return GSL_SUCCESS; |
457 | } |
458 | |
459 | int |
460 | gsl_blas_drotg (double a[], double b[], double c[], double s[]) |
461 | { |
462 | cblas_drotg (a, b, c, s); |
463 | return GSL_SUCCESS; |
464 | } |
465 | |
466 | /* Apply rotation to vectors */ |
467 | |
468 | int |
469 | gsl_blas_srot (gsl_vector_float * X, gsl_vector_float * Y, float c, float s) |
470 | { |
471 | if (X->size == Y->size) |
472 | { |
473 | cblas_srot (INT (X->size), X->data, INT (X->stride), Y->data, |
474 | INT (Y->stride), c, s); |
475 | return GSL_SUCCESS; |
476 | } |
477 | else |
478 | { |
479 | GSL_ERROR ("invalid length", GSL_EBADLEN); |
480 | } |
481 | } |
482 | |
483 | int |
484 | gsl_blas_drot (gsl_vector * X, gsl_vector * Y, const double c, const double s) |
485 | { |
486 | if (X->size == Y->size) |
487 | { |
488 | cblas_drot (INT (X->size), X->data, INT (X->stride), Y->data, |
489 | INT (Y->stride), c, s); |
490 | return GSL_SUCCESS; |
491 | } |
492 | else |
493 | { |
494 | GSL_ERROR ("invalid length", GSL_EBADLEN); |
495 | } |
496 | } |
497 | |
498 | |
499 | /* Generate modified rotation */ |
500 | |
501 | int |
502 | gsl_blas_srotmg (float d1[], float d2[], float b1[], float b2, float P[]) |
503 | { |
504 | cblas_srotmg (d1, d2, b1, b2, P); |
505 | return GSL_SUCCESS; |
506 | } |
507 | |
508 | int |
509 | gsl_blas_drotmg (double d1[], double d2[], double b1[], double b2, double P[]) |
510 | { |
511 | cblas_drotmg (d1, d2, b1, b2, P); |
512 | return GSL_SUCCESS; |
513 | } |
514 | |
515 | |
516 | /* Apply modified rotation */ |
517 | |
518 | int |
519 | gsl_blas_srotm (gsl_vector_float * X, gsl_vector_float * Y, const float P[]) |
520 | { |
521 | if (X->size == Y->size) |
522 | { |
523 | cblas_srotm (INT (X->size), X->data, INT (X->stride), Y->data, |
524 | INT (Y->stride), P); |
525 | return GSL_SUCCESS; |
526 | } |
527 | else |
528 | { |
529 | GSL_ERROR ("invalid length", GSL_EBADLEN); |
530 | } |
531 | } |
532 | |
533 | int |
534 | gsl_blas_drotm (gsl_vector * X, gsl_vector * Y, const double P[]) |
535 | { |
536 | if (X->size == Y->size) |
537 | { |
538 | cblas_drotm (INT (X->size), X->data, INT (X->stride), Y->data, |
539 | INT (Y->stride), P); |
540 | return GSL_SUCCESS; |
541 | } |
542 | else |
543 | { |
544 | GSL_ERROR ("invalid length", GSL_EBADLEN); |
545 | } |
546 | } |
547 | |
548 | |
549 | /* Scale vector */ |
550 | |
551 | void |
552 | gsl_blas_sscal (float alpha, gsl_vector_float * X) |
553 | { |
554 | cblas_sscal (INT (X->size), alpha, X->data, INT (X->stride)); |
555 | } |
556 | |
557 | void |
558 | gsl_blas_dscal (double alpha, gsl_vector * X) |
559 | { |
560 | cblas_dscal (INT (X->size), alpha, X->data, INT (X->stride)); |
561 | } |
562 | |
563 | void |
564 | gsl_blas_cscal (const gsl_complex_float alpha, gsl_vector_complex_float * X) |
565 | { |
566 | cblas_cscal (INT (X->size), GSL_COMPLEX_P (&alpha), X->data, |
567 | INT (X->stride)); |
568 | } |
569 | |
570 | void |
571 | gsl_blas_zscal (const gsl_complex alpha, gsl_vector_complex * X) |
572 | { |
573 | cblas_zscal (INT (X->size), GSL_COMPLEX_P (&alpha), X->data, |
574 | INT (X->stride)); |
575 | } |
576 | |
577 | void |
578 | gsl_blas_csscal (float alpha, gsl_vector_complex_float * X) |
579 | { |
580 | cblas_csscal (INT (X->size), alpha, X->data, INT (X->stride)); |
581 | } |
582 | |
583 | void |
584 | gsl_blas_zdscal (double alpha, gsl_vector_complex * X) |
585 | { |
586 | cblas_zdscal (INT (X->size), alpha, X->data, INT (X->stride)); |
587 | } |
588 | |
589 | /* =========================================================================== |
590 | * Level 2 |
591 | * =========================================================================== |
592 | */ |
593 | |
594 | /* GEMV */ |
595 | |
596 | int |
597 | gsl_blas_sgemv (CBLAS_TRANSPOSE_t TransA, float alpha, |
598 | const gsl_matrix_float * A, const gsl_vector_float * X, |
599 | float beta, gsl_vector_float * Y) |
600 | { |
601 | const size_t M = A->size1; |
602 | const size_t N = A->size2; |
603 | |
604 | if ((TransA == CblasNoTrans && N == X->size && M == Y->size) |
605 | || (TransA == CblasTrans && M == X->size && N == Y->size)) |
606 | { |
607 | cblas_sgemv (CblasRowMajor, TransA, INT (M), INT (N), alpha, A->data, |
608 | INT (A->tda), X->data, INT (X->stride), beta, Y->data, |
609 | INT (Y->stride)); |
610 | return GSL_SUCCESS; |
611 | } |
612 | else |
613 | { |
614 | GSL_ERROR ("invalid length", GSL_EBADLEN); |
615 | } |
616 | } |
617 | |
618 | |
619 | int |
620 | gsl_blas_dgemv (CBLAS_TRANSPOSE_t TransA, double alpha, const gsl_matrix * A, |
621 | const gsl_vector * X, double beta, gsl_vector * Y) |
622 | { |
623 | const size_t M = A->size1; |
624 | const size_t N = A->size2; |
625 | |
626 | if ((TransA == CblasNoTrans && N == X->size && M == Y->size) |
627 | || (TransA == CblasTrans && M == X->size && N == Y->size)) |
628 | { |
629 | cblas_dgemv (CblasRowMajor, TransA, INT (M), INT (N), alpha, A->data, |
630 | INT (A->tda), X->data, INT (X->stride), beta, Y->data, |
631 | INT (Y->stride)); |
632 | return GSL_SUCCESS; |
633 | } |
634 | else |
635 | { |
636 | GSL_ERROR ("invalid length", GSL_EBADLEN); |
637 | } |
638 | } |
639 | |
640 | |
641 | int |
642 | gsl_blas_cgemv (CBLAS_TRANSPOSE_t TransA, const gsl_complex_float alpha, |
643 | const gsl_matrix_complex_float * A, |
644 | const gsl_vector_complex_float * X, |
645 | const gsl_complex_float beta, gsl_vector_complex_float * Y) |
646 | { |
647 | const size_t M = A->size1; |
648 | const size_t N = A->size2; |
649 | |
650 | if ((TransA == CblasNoTrans && N == X->size && M == Y->size) |
651 | || (TransA == CblasTrans && M == X->size && N == Y->size) |
652 | || (TransA == CblasConjTrans && M == X->size && N == Y->size)) |
653 | { |
654 | cblas_cgemv (CblasRowMajor, TransA, INT (M), INT (N), |
655 | GSL_COMPLEX_P (&alpha), A->data, INT (A->tda), X->data, |
656 | INT (X->stride), GSL_COMPLEX_P (&beta), Y->data, |
657 | INT (Y->stride)); |
658 | return GSL_SUCCESS; |
659 | } |
660 | else |
661 | { |
662 | GSL_ERROR ("invalid length", GSL_EBADLEN); |
663 | } |
664 | } |
665 | |
666 | |
667 | int |
668 | gsl_blas_zgemv (CBLAS_TRANSPOSE_t TransA, const gsl_complex alpha, |
669 | const gsl_matrix_complex * A, const gsl_vector_complex * X, |
670 | const gsl_complex beta, gsl_vector_complex * Y) |
671 | { |
672 | const size_t M = A->size1; |
673 | const size_t N = A->size2; |
674 | |
675 | if ((TransA == CblasNoTrans && N == X->size && M == Y->size) |
676 | || (TransA == CblasTrans && M == X->size && N == Y->size) |
677 | || (TransA == CblasConjTrans && M == X->size && N == Y->size)) |
678 | { |
679 | cblas_zgemv (CblasRowMajor, TransA, INT (M), INT (N), |
680 | GSL_COMPLEX_P (&alpha), A->data, INT (A->tda), X->data, |
681 | INT (X->stride), GSL_COMPLEX_P (&beta), Y->data, |
682 | INT (Y->stride)); |
683 | return GSL_SUCCESS; |
684 | } |
685 | else |
686 | { |
687 | GSL_ERROR ("invalid length", GSL_EBADLEN); |
688 | } |
689 | } |
690 | |
691 | |
692 | |
693 | /* HEMV */ |
694 | |
695 | int |
696 | gsl_blas_chemv (CBLAS_UPLO_t Uplo, const gsl_complex_float alpha, |
697 | const gsl_matrix_complex_float * A, |
698 | const gsl_vector_complex_float * X, |
699 | const gsl_complex_float beta, gsl_vector_complex_float * Y) |
700 | { |
701 | const size_t M = A->size1; |
702 | const size_t N = A->size2; |
703 | |
704 | if (M != N) |
705 | { |
706 | GSL_ERROR ("matrix must be square", GSL_ENOTSQR); |
707 | } |
708 | else if (N != X->size || N != Y->size) |
709 | { |
710 | GSL_ERROR ("invalid length", GSL_EBADLEN); |
711 | } |
712 | |
713 | cblas_chemv (CblasRowMajor, Uplo, INT (N), GSL_COMPLEX_P (&alpha), A->data, |
714 | INT (A->tda), X->data, INT (X->stride), GSL_COMPLEX_P (&beta), |
715 | Y->data, INT (Y->stride)); |
716 | return GSL_SUCCESS; |
717 | } |
718 | |
719 | int |
720 | gsl_blas_zhemv (CBLAS_UPLO_t Uplo, const gsl_complex alpha, |
721 | const gsl_matrix_complex * A, const gsl_vector_complex * X, |
722 | const gsl_complex beta, gsl_vector_complex * Y) |
723 | { |
724 | const size_t M = A->size1; |
725 | const size_t N = A->size2; |
726 | |
727 | if (M != N) |
728 | { |
729 | GSL_ERROR ("matrix must be square", GSL_ENOTSQR); |
730 | } |
731 | else if (N != X->size || N != Y->size) |
732 | { |
733 | GSL_ERROR ("invalid length", GSL_EBADLEN); |
734 | } |
735 | |
736 | cblas_zhemv (CblasRowMajor, Uplo, INT (N), GSL_COMPLEX_P (&alpha), A->data, |
737 | INT (A->tda), X->data, INT (X->stride), GSL_COMPLEX_P (&beta), |
738 | Y->data, INT (Y->stride)); |
739 | return GSL_SUCCESS; |
740 | } |
741 | |
742 | |
743 | /* SYMV */ |
744 | |
745 | int |
746 | gsl_blas_ssymv (CBLAS_UPLO_t Uplo, float alpha, const gsl_matrix_float * A, |
747 | const gsl_vector_float * X, float beta, gsl_vector_float * Y) |
748 | { |
749 | const size_t M = A->size1; |
750 | const size_t N = A->size2; |
751 | |
752 | if (M != N) |
753 | { |
754 | GSL_ERROR ("matrix must be square", GSL_ENOTSQR); |
755 | } |
756 | else if (N != X->size || N != Y->size) |
757 | { |
758 | GSL_ERROR ("invalid length", GSL_EBADLEN); |
759 | } |
760 | |
761 | cblas_ssymv (CblasRowMajor, Uplo, INT (N), alpha, A->data, INT (A->tda), |
762 | X->data, INT (X->stride), beta, Y->data, INT (Y->stride)); |
763 | return GSL_SUCCESS; |
764 | } |
765 | |
766 | int |
767 | gsl_blas_dsymv (CBLAS_UPLO_t Uplo, double alpha, const gsl_matrix * A, |
768 | const gsl_vector * X, double beta, gsl_vector * Y) |
769 | { |
770 | const size_t M = A->size1; |
771 | const size_t N = A->size2; |
772 | |
773 | if (M != N) |
774 | { |
775 | GSL_ERROR ("matrix must be square", GSL_ENOTSQR); |
776 | } |
777 | else if (N != X->size || N != Y->size) |
778 | { |
779 | GSL_ERROR ("invalid length", GSL_EBADLEN); |
780 | } |
781 | |
782 | cblas_dsymv (CblasRowMajor, Uplo, INT (N), alpha, A->data, INT (A->tda), |
783 | X->data, INT (X->stride), beta, Y->data, INT (Y->stride)); |
784 | return GSL_SUCCESS; |
785 | } |
786 | |
787 | |
788 | /* TRMV */ |
789 | |
790 | int |
791 | gsl_blas_strmv (CBLAS_UPLO_t Uplo, CBLAS_TRANSPOSE_t TransA, |
792 | CBLAS_DIAG_t Diag, const gsl_matrix_float * A, |
793 | gsl_vector_float * X) |
794 | { |
795 | const size_t M = A->size1; |
796 | const size_t N = A->size2; |
797 | |
798 | if (M != N) |
799 | { |
800 | GSL_ERROR ("matrix must be square", GSL_ENOTSQR); |
801 | } |
802 | else if (N != X->size) |
803 | { |
804 | GSL_ERROR ("invalid length", GSL_EBADLEN); |
805 | } |
806 | |
807 | cblas_strmv (CblasRowMajor, Uplo, TransA, Diag, INT (N), A->data, |
808 | INT (A->tda), X->data, INT (X->stride)); |
809 | return GSL_SUCCESS; |
810 | } |
811 | |
812 | |
813 | int |
814 | gsl_blas_dtrmv (CBLAS_UPLO_t Uplo, CBLAS_TRANSPOSE_t TransA, |
815 | CBLAS_DIAG_t Diag, const gsl_matrix * A, gsl_vector * X) |
816 | { |
817 | const size_t M = A->size1; |
818 | const size_t N = A->size2; |
819 | |
820 | if (M != N) |
821 | { |
822 | GSL_ERROR ("matrix must be square", GSL_ENOTSQR); |
823 | } |
824 | else if (N != X->size) |
825 | { |
826 | GSL_ERROR ("invalid length", GSL_EBADLEN); |
827 | } |
828 | |
829 | cblas_dtrmv (CblasRowMajor, Uplo, TransA, Diag, INT (N), A->data, |
830 | INT (A->tda), X->data, INT (X->stride)); |
831 | return GSL_SUCCESS; |
832 | } |
833 | |
834 | |
835 | int |
836 | gsl_blas_ctrmv (CBLAS_UPLO_t Uplo, CBLAS_TRANSPOSE_t TransA, |
837 | CBLAS_DIAG_t Diag, const gsl_matrix_complex_float * A, |
838 | gsl_vector_complex_float * X) |
839 | { |
840 | const size_t M = A->size1; |
841 | const size_t N = A->size2; |
842 | |
843 | if (M != N) |
844 | { |
845 | GSL_ERROR ("matrix must be square", GSL_ENOTSQR); |
846 | } |
847 | else if (N != X->size) |
848 | { |
849 | GSL_ERROR ("invalid length", GSL_EBADLEN); |
850 | } |
851 | |
852 | cblas_ctrmv (CblasRowMajor, Uplo, TransA, Diag, INT (N), A->data, |
853 | INT (A->tda), X->data, INT (X->stride)); |
854 | return GSL_SUCCESS; |
855 | } |
856 | |
857 | |
858 | int |
859 | gsl_blas_ztrmv (CBLAS_UPLO_t Uplo, CBLAS_TRANSPOSE_t TransA, |
860 | CBLAS_DIAG_t Diag, const gsl_matrix_complex * A, |
861 | gsl_vector_complex * X) |
862 | { |
863 | const size_t M = A->size1; |
864 | const size_t N = A->size2; |
865 | |
866 | if (M != N) |
867 | { |
868 | GSL_ERROR ("matrix must be square", GSL_ENOTSQR); |
869 | } |
870 | else if (N != X->size) |
871 | { |
872 | GSL_ERROR ("invalid length", GSL_EBADLEN); |
873 | } |
874 | |
875 | cblas_ztrmv (CblasRowMajor, Uplo, TransA, Diag, INT (N), A->data, |
876 | INT (A->tda), X->data, INT (X->stride)); |
877 | return GSL_SUCCESS; |
878 | } |
879 | |
880 | |
881 | /* TRSV */ |
882 | |
883 | int |
884 | gsl_blas_strsv (CBLAS_UPLO_t Uplo, CBLAS_TRANSPOSE_t TransA, |
885 | CBLAS_DIAG_t Diag, const gsl_matrix_float * A, |
886 | gsl_vector_float * X) |
887 | { |
888 | const size_t M = A->size1; |
889 | const size_t N = A->size2; |
890 | |
891 | if (M != N) |
892 | { |
893 | GSL_ERROR ("matrix must be square", GSL_ENOTSQR); |
894 | } |
895 | else if (N != X->size) |
896 | { |
897 | GSL_ERROR ("invalid length", GSL_EBADLEN); |
898 | } |
899 | |
900 | cblas_strsv (CblasRowMajor, Uplo, TransA, Diag, INT (N), A->data, |
901 | INT (A->tda), X->data, INT (X->stride)); |
902 | return GSL_SUCCESS; |
903 | } |
904 | |
905 | |
906 | int |
907 | gsl_blas_dtrsv (CBLAS_UPLO_t Uplo, CBLAS_TRANSPOSE_t TransA, |
908 | CBLAS_DIAG_t Diag, const gsl_matrix * A, gsl_vector * X) |
909 | { |
910 | const size_t M = A->size1; |
911 | const size_t N = A->size2; |
912 | |
913 | if (M != N) |
914 | { |
915 | GSL_ERROR ("matrix must be square", GSL_ENOTSQR); |
916 | } |
917 | else if (N != X->size) |
918 | { |
919 | GSL_ERROR ("invalid length", GSL_EBADLEN); |
920 | } |
921 | |
922 | cblas_dtrsv (CblasRowMajor, Uplo, TransA, Diag, INT (N), A->data, |
923 | INT (A->tda), X->data, INT (X->stride)); |
924 | return GSL_SUCCESS; |
925 | } |
926 | |
927 | |
928 | int |
929 | gsl_blas_ctrsv (CBLAS_UPLO_t Uplo, CBLAS_TRANSPOSE_t TransA, |
930 | CBLAS_DIAG_t Diag, const gsl_matrix_complex_float * A, |
931 | gsl_vector_complex_float * X) |
932 | { |
933 | const size_t M = A->size1; |
934 | const size_t N = A->size2; |
935 | |
936 | if (M != N) |
937 | { |
938 | GSL_ERROR ("matrix must be square", GSL_ENOTSQR); |
939 | } |
940 | else if (N != X->size) |
941 | { |
942 | GSL_ERROR ("invalid length", GSL_EBADLEN); |
943 | } |
944 | |
945 | cblas_ctrsv (CblasRowMajor, Uplo, TransA, Diag, INT (N), A->data, |
946 | INT (A->tda), X->data, INT (X->stride)); |
947 | return GSL_SUCCESS; |
948 | } |
949 | |
950 | |
951 | int |
952 | gsl_blas_ztrsv (CBLAS_UPLO_t Uplo, CBLAS_TRANSPOSE_t TransA, |
953 | CBLAS_DIAG_t Diag, const gsl_matrix_complex * A, |
954 | gsl_vector_complex * X) |
955 | { |
956 | const size_t M = A->size1; |
957 | const size_t N = A->size2; |
958 | |
959 | if (M != N) |
960 | { |
961 | GSL_ERROR ("matrix must be square", GSL_ENOTSQR); |
962 | } |
963 | else if (N != X->size) |
964 | { |
965 | GSL_ERROR ("invalid length", GSL_EBADLEN); |
966 | } |
967 | |
968 | cblas_ztrsv (CblasRowMajor, Uplo, TransA, Diag, INT (N), A->data, |
969 | INT (A->tda), X->data, INT (X->stride)); |
970 | return GSL_SUCCESS; |
971 | } |
972 | |
973 | |
974 | /* GER */ |
975 | |
976 | int |
977 | gsl_blas_sger (float alpha, const gsl_vector_float * X, |
978 | const gsl_vector_float * Y, gsl_matrix_float * A) |
979 | { |
980 | const size_t M = A->size1; |
981 | const size_t N = A->size2; |
982 | |
983 | if (X->size == M && Y->size == N) |
984 | { |
985 | cblas_sger (CblasRowMajor, INT (M), INT (N), alpha, X->data, |
986 | INT (X->stride), Y->data, INT (Y->stride), A->data, |
987 | INT (A->tda)); |
988 | return GSL_SUCCESS; |
989 | } |
990 | else |
991 | { |
992 | GSL_ERROR ("invalid length", GSL_EBADLEN); |
993 | } |
994 | } |
995 | |
996 | |
997 | int |
998 | gsl_blas_dger (double alpha, const gsl_vector * X, const gsl_vector * Y, |
999 | gsl_matrix * A) |
1000 | { |
1001 | const size_t M = A->size1; |
1002 | const size_t N = A->size2; |
1003 | |
1004 | if (X->size == M && Y->size == N) |
1005 | { |
1006 | cblas_dger (CblasRowMajor, INT (M), INT (N), alpha, X->data, |
1007 | INT (X->stride), Y->data, INT (Y->stride), A->data, |
1008 | INT (A->tda)); |
1009 | return GSL_SUCCESS; |
1010 | } |
1011 | else |
1012 | { |
1013 | GSL_ERROR ("invalid length", GSL_EBADLEN); |
1014 | } |
1015 | } |
1016 | |
1017 | |
1018 | /* GERU */ |
1019 | |
1020 | int |
1021 | gsl_blas_cgeru (const gsl_complex_float alpha, |
1022 | const gsl_vector_complex_float * X, |
1023 | const gsl_vector_complex_float * Y, |
1024 | gsl_matrix_complex_float * A) |
1025 | { |
1026 | const size_t M = A->size1; |
1027 | const size_t N = A->size2; |
1028 | |
1029 | if (X->size == M && Y->size == N) |
1030 | { |
1031 | cblas_cgeru (CblasRowMajor, INT (M), INT (N), GSL_COMPLEX_P (&alpha), |
1032 | X->data, INT (X->stride), Y->data, INT (Y->stride), |
1033 | A->data, INT (A->tda)); |
1034 | return GSL_SUCCESS; |
1035 | } |
1036 | else |
1037 | { |
1038 | GSL_ERROR ("invalid length", GSL_EBADLEN); |
1039 | } |
1040 | } |
1041 | |
1042 | int |
1043 | gsl_blas_zgeru (const gsl_complex alpha, const gsl_vector_complex * X, |
1044 | const gsl_vector_complex * Y, gsl_matrix_complex * A) |
1045 | { |
1046 | const size_t M = A->size1; |
1047 | const size_t N = A->size2; |
1048 | |
1049 | if (X->size == M && Y->size == N) |
1050 | { |
1051 | cblas_zgeru (CblasRowMajor, INT (M), INT (N), GSL_COMPLEX_P (&alpha), |
1052 | X->data, INT (X->stride), Y->data, INT (Y->stride), |
1053 | A->data, INT (A->tda)); |
1054 | return GSL_SUCCESS; |
1055 | } |
1056 | else |
1057 | { |
1058 | GSL_ERROR ("invalid length", GSL_EBADLEN); |
1059 | } |
1060 | } |
1061 | |
1062 | |
1063 | /* GERC */ |
1064 | |
1065 | int |
1066 | gsl_blas_cgerc (const gsl_complex_float alpha, |
1067 | const gsl_vector_complex_float * X, |
1068 | const gsl_vector_complex_float * Y, |
1069 | gsl_matrix_complex_float * A) |
1070 | { |
1071 | const size_t M = A->size1; |
1072 | const size_t N = A->size2; |
1073 | |
1074 | if (X->size == M && Y->size == N) |
1075 | { |
1076 | cblas_cgerc (CblasRowMajor, INT (M), INT (N), GSL_COMPLEX_P (&alpha), |
1077 | X->data, INT (X->stride), Y->data, INT (Y->stride), |
1078 | A->data, INT (A->tda)); |
1079 | return GSL_SUCCESS; |
1080 | } |
1081 | else |
1082 | { |
1083 | GSL_ERROR ("invalid length", GSL_EBADLEN); |
1084 | } |
1085 | } |
1086 | |
1087 | |
1088 | int |
1089 | gsl_blas_zgerc (const gsl_complex alpha, const gsl_vector_complex * X, |
1090 | const gsl_vector_complex * Y, gsl_matrix_complex * A) |
1091 | { |
1092 | const size_t M = A->size1; |
1093 | const size_t N = A->size2; |
1094 | |
1095 | if (X->size == M && Y->size == N) |
1096 | { |
1097 | cblas_zgerc (CblasRowMajor, INT (M), INT (N), GSL_COMPLEX_P (&alpha), |
1098 | X->data, INT (X->stride), Y->data, INT (Y->stride), |
1099 | A->data, INT (A->tda)); |
1100 | return GSL_SUCCESS; |
1101 | } |
1102 | else |
1103 | { |
1104 | GSL_ERROR ("invalid length", GSL_EBADLEN); |
1105 | } |
1106 | } |
1107 | |
1108 | /* HER */ |
1109 | |
1110 | int |
1111 | gsl_blas_cher (CBLAS_UPLO_t Uplo, float alpha, |
1112 | const gsl_vector_complex_float * X, |
1113 | gsl_matrix_complex_float * A) |
1114 | { |
1115 | const size_t M = A->size1; |
1116 | const size_t N = A->size2; |
1117 | |
1118 | if (M != N) |
1119 | { |
1120 | GSL_ERROR ("matrix must be square", GSL_ENOTSQR); |
1121 | } |
1122 | else if (X->size != N) |
1123 | { |
1124 | GSL_ERROR ("invalid length", GSL_EBADLEN); |
1125 | } |
1126 | |
1127 | cblas_cher (CblasRowMajor, Uplo, INT (M), alpha, X->data, INT (X->stride), |
1128 | A->data, INT (A->tda)); |
1129 | return GSL_SUCCESS; |
1130 | } |
1131 | |
1132 | |
1133 | int |
1134 | gsl_blas_zher (CBLAS_UPLO_t Uplo, double alpha, const gsl_vector_complex * X, |
1135 | gsl_matrix_complex * A) |
1136 | { |
1137 | const size_t M = A->size1; |
1138 | const size_t N = A->size2; |
1139 | |
1140 | if (M != N) |
1141 | { |
1142 | GSL_ERROR ("matrix must be square", GSL_ENOTSQR); |
1143 | } |
1144 | else if (X->size != N) |
1145 | { |
1146 | GSL_ERROR ("invalid length", GSL_EBADLEN); |
1147 | } |
1148 | |
1149 | cblas_zher (CblasRowMajor, Uplo, INT (N), alpha, X->data, INT (X->stride), |
1150 | A->data, INT (A->tda)); |
1151 | return GSL_SUCCESS; |
1152 | } |
1153 | |
1154 | |
1155 | /* HER2 */ |
1156 | |
1157 | int |
1158 | gsl_blas_cher2 (CBLAS_UPLO_t Uplo, const gsl_complex_float alpha, |
1159 | const gsl_vector_complex_float * X, |
1160 | const gsl_vector_complex_float * Y, |
1161 | gsl_matrix_complex_float * A) |
1162 | { |
1163 | const size_t M = A->size1; |
1164 | const size_t N = A->size2; |
1165 | |
1166 | if (M != N) |
1167 | { |
1168 | GSL_ERROR ("matrix must be square", GSL_ENOTSQR); |
1169 | } |
1170 | else if (X->size != N || Y->size != N) |
1171 | { |
1172 | GSL_ERROR ("invalid length", GSL_EBADLEN); |
1173 | } |
1174 | |
1175 | cblas_cher2 (CblasRowMajor, Uplo, INT (N), GSL_COMPLEX_P (&alpha), X->data, |
1176 | INT (X->stride), Y->data, INT (Y->stride), A->data, |
1177 | INT (A->tda)); |
1178 | return GSL_SUCCESS; |
1179 | } |
1180 | |
1181 | |
1182 | int |
1183 | gsl_blas_zher2 (CBLAS_UPLO_t Uplo, const gsl_complex alpha, |
1184 | const gsl_vector_complex * X, const gsl_vector_complex * Y, |
1185 | gsl_matrix_complex * A) |
1186 | { |
1187 | const size_t M = A->size1; |
1188 | const size_t N = A->size2; |
1189 | |
1190 | if (M != N) |
1191 | { |
1192 | GSL_ERROR ("matrix must be square", GSL_ENOTSQR); |
1193 | } |
1194 | else if (X->size != N || Y->size != N) |
1195 | { |
1196 | GSL_ERROR ("invalid length", GSL_EBADLEN); |
1197 | } |
1198 | |
1199 | cblas_zher2 (CblasRowMajor, Uplo, INT (N), GSL_COMPLEX_P (&alpha), X->data, |
1200 | INT (X->stride), Y->data, INT (Y->stride), A->data, |
1201 | INT (A->tda)); |
1202 | return GSL_SUCCESS; |
1203 | } |
1204 | |
1205 | |
1206 | /* SYR */ |
1207 | |
1208 | int |
1209 | gsl_blas_ssyr (CBLAS_UPLO_t Uplo, float alpha, const gsl_vector_float * X, |
1210 | gsl_matrix_float * A) |
1211 | { |
1212 | const size_t M = A->size1; |
1213 | const size_t N = A->size2; |
1214 | |
1215 | if (M != N) |
1216 | { |
1217 | GSL_ERROR ("matrix must be square", GSL_ENOTSQR); |
1218 | } |
1219 | else if (X->size != N) |
1220 | { |
1221 | GSL_ERROR ("invalid length", GSL_EBADLEN); |
1222 | } |
1223 | |
1224 | cblas_ssyr (CblasRowMajor, Uplo, INT (N), alpha, X->data, INT (X->stride), |
1225 | A->data, INT (A->tda)); |
1226 | return GSL_SUCCESS; |
1227 | } |
1228 | |
1229 | |
1230 | int |
1231 | gsl_blas_dsyr (CBLAS_UPLO_t Uplo, double alpha, const gsl_vector * X, |
1232 | gsl_matrix * A) |
1233 | { |
1234 | const size_t M = A->size1; |
1235 | const size_t N = A->size2; |
1236 | |
1237 | if (M != N) |
1238 | { |
1239 | GSL_ERROR ("matrix must be square", GSL_ENOTSQR); |
1240 | } |
1241 | else if (X->size != N) |
1242 | { |
1243 | GSL_ERROR ("invalid length", GSL_EBADLEN); |
1244 | } |
1245 | |
1246 | cblas_dsyr (CblasRowMajor, Uplo, INT (N), alpha, X->data, INT (X->stride), |
1247 | A->data, INT (A->tda)); |
1248 | return GSL_SUCCESS; |
1249 | } |
1250 | |
1251 | |
1252 | /* SYR2 */ |
1253 | |
1254 | int |
1255 | gsl_blas_ssyr2 (CBLAS_UPLO_t Uplo, float alpha, const gsl_vector_float * X, |
1256 | const gsl_vector_float * Y, gsl_matrix_float * A) |
1257 | { |
1258 | const size_t M = A->size1; |
1259 | const size_t N = A->size2; |
1260 | |
1261 | if (M != N) |
1262 | { |
1263 | GSL_ERROR ("matrix must be square", GSL_ENOTSQR); |
1264 | } |
1265 | else if (X->size != N || Y->size != N) |
1266 | { |
1267 | GSL_ERROR ("invalid length", GSL_EBADLEN); |
1268 | } |
1269 | |
1270 | cblas_ssyr2 (CblasRowMajor, Uplo, INT (N), alpha, X->data, INT (X->stride), |
1271 | Y->data, INT (Y->stride), A->data, INT (A->tda)); |
1272 | return GSL_SUCCESS; |
1273 | } |
1274 | |
1275 | |
1276 | int |
1277 | gsl_blas_dsyr2 (CBLAS_UPLO_t Uplo, double alpha, const gsl_vector * X, |
1278 | const gsl_vector * Y, gsl_matrix * A) |
1279 | { |
1280 | const size_t M = A->size1; |
1281 | const size_t N = A->size2; |
1282 | |
1283 | if (M != N) |
1284 | { |
1285 | GSL_ERROR ("matrix must be square", GSL_ENOTSQR); |
1286 | } |
1287 | else if (X->size != N || Y->size != N) |
1288 | { |
1289 | GSL_ERROR ("invalid length", GSL_EBADLEN); |
1290 | } |
1291 | |
1292 | cblas_dsyr2 (CblasRowMajor, Uplo, INT (N), alpha, X->data, INT (X->stride), |
1293 | Y->data, INT (Y->stride), A->data, INT (A->tda)); |
1294 | return GSL_SUCCESS; |
1295 | } |
1296 | |
1297 | |
1298 | /* |
1299 | * =========================================================================== |
1300 | * Prototypes for level 3 BLAS |
1301 | * =========================================================================== |
1302 | */ |
1303 | |
1304 | |
1305 | /* GEMM */ |
1306 | |
1307 | int |
1308 | gsl_blas_sgemm (CBLAS_TRANSPOSE_t TransA, CBLAS_TRANSPOSE_t TransB, |
1309 | float alpha, const gsl_matrix_float * A, |
1310 | const gsl_matrix_float * B, float beta, gsl_matrix_float * C) |
1311 | { |
1312 | const size_t M = C->size1; |
1313 | const size_t N = C->size2; |
1314 | const size_t MA = (TransA == CblasNoTrans) ? A->size1 : A->size2; |
1315 | const size_t NA = (TransA == CblasNoTrans) ? A->size2 : A->size1; |
1316 | const size_t MB = (TransB == CblasNoTrans) ? B->size1 : B->size2; |
1317 | const size_t NB = (TransB == CblasNoTrans) ? B->size2 : B->size1; |
1318 | |
1319 | if (M == MA && N == NB && NA == MB) /* [MxN] = [MAxNA][MBxNB] */ |
1320 | { |
1321 | cblas_sgemm (CblasRowMajor, TransA, TransB, INT (M), INT (N), INT (NA), |
1322 | alpha, A->data, INT (A->tda), B->data, INT (B->tda), beta, |
1323 | C->data, INT (C->tda)); |
1324 | return GSL_SUCCESS; |
1325 | } |
1326 | else |
1327 | { |
1328 | GSL_ERROR ("invalid length", GSL_EBADLEN); |
1329 | } |
1330 | } |
1331 | |
1332 | |
1333 | int |
1334 | gsl_blas_dgemm (CBLAS_TRANSPOSE_t TransA, CBLAS_TRANSPOSE_t TransB, |
1335 | double alpha, const gsl_matrix * A, const gsl_matrix * B, |
1336 | double beta, gsl_matrix * C) |
1337 | { |
1338 | const size_t M = C->size1; |
1339 | const size_t N = C->size2; |
1340 | const size_t MA = (TransA == CblasNoTrans) ? A->size1 : A->size2; |
1341 | const size_t NA = (TransA == CblasNoTrans) ? A->size2 : A->size1; |
1342 | const size_t MB = (TransB == CblasNoTrans) ? B->size1 : B->size2; |
1343 | const size_t NB = (TransB == CblasNoTrans) ? B->size2 : B->size1; |
1344 | |
1345 | if (M == MA && N == NB && NA == MB) /* [MxN] = [MAxNA][MBxNB] */ |
1346 | { |
1347 | cblas_dgemm (CblasRowMajor, TransA, TransB, INT (M), INT (N), INT (NA), |
1348 | alpha, A->data, INT (A->tda), B->data, INT (B->tda), beta, |
1349 | C->data, INT (C->tda)); |
1350 | return GSL_SUCCESS; |
1351 | } |
1352 | else |
1353 | { |
1354 | GSL_ERROR ("invalid length", GSL_EBADLEN); |
1355 | } |
1356 | } |
1357 | |
1358 | |
1359 | int |
1360 | gsl_blas_cgemm (CBLAS_TRANSPOSE_t TransA, CBLAS_TRANSPOSE_t TransB, |
1361 | const gsl_complex_float alpha, |
1362 | const gsl_matrix_complex_float * A, |
1363 | const gsl_matrix_complex_float * B, |
1364 | const gsl_complex_float beta, gsl_matrix_complex_float * C) |
1365 | { |
1366 | const size_t M = C->size1; |
1367 | const size_t N = C->size2; |
1368 | const size_t MA = (TransA == CblasNoTrans) ? A->size1 : A->size2; |
1369 | const size_t NA = (TransA == CblasNoTrans) ? A->size2 : A->size1; |
1370 | const size_t MB = (TransB == CblasNoTrans) ? B->size1 : B->size2; |
1371 | const size_t NB = (TransB == CblasNoTrans) ? B->size2 : B->size1; |
1372 | |
1373 | if (M == MA && N == NB && NA == MB) /* [MxN] = [MAxNA][MBxNB] */ |
1374 | { |
1375 | cblas_cgemm (CblasRowMajor, TransA, TransB, INT (M), INT (N), INT (NA), |
1376 | GSL_COMPLEX_P (&alpha), A->data, INT (A->tda), B->data, |
1377 | INT (B->tda), GSL_COMPLEX_P (&beta), C->data, |
1378 | INT (C->tda)); |
1379 | return GSL_SUCCESS; |
1380 | } |
1381 | else |
1382 | { |
1383 | GSL_ERROR ("invalid length", GSL_EBADLEN); |
1384 | } |
1385 | } |
1386 | |
1387 | |
1388 | int |
1389 | gsl_blas_zgemm (CBLAS_TRANSPOSE_t TransA, CBLAS_TRANSPOSE_t TransB, |
1390 | const gsl_complex alpha, const gsl_matrix_complex * A, |
1391 | const gsl_matrix_complex * B, const gsl_complex beta, |
1392 | gsl_matrix_complex * C) |
1393 | { |
1394 | const size_t M = C->size1; |
1395 | const size_t N = C->size2; |
1396 | const size_t MA = (TransA == CblasNoTrans) ? A->size1 : A->size2; |
1397 | const size_t NA = (TransA == CblasNoTrans) ? A->size2 : A->size1; |
1398 | const size_t MB = (TransB == CblasNoTrans) ? B->size1 : B->size2; |
1399 | const size_t NB = (TransB == CblasNoTrans) ? B->size2 : B->size1; |
1400 | |
1401 | if (M == MA && N == NB && NA == MB) /* [MxN] = [MAxNA][MBxNB] */ |
1402 | { |
1403 | cblas_zgemm (CblasRowMajor, TransA, TransB, INT (M), INT (N), INT (NA), |
1404 | GSL_COMPLEX_P (&alpha), A->data, INT (A->tda), B->data, |
1405 | INT (B->tda), GSL_COMPLEX_P (&beta), C->data, |
1406 | INT (C->tda)); |
1407 | return GSL_SUCCESS; |
1408 | } |
1409 | else |
1410 | { |
1411 | GSL_ERROR ("invalid length", GSL_EBADLEN); |
1412 | } |
1413 | } |
1414 | |
1415 | |
1416 | /* SYMM */ |
1417 | |
1418 | int |
1419 | gsl_blas_ssymm (CBLAS_SIDE_t Side, CBLAS_UPLO_t Uplo, float alpha, |
1420 | const gsl_matrix_float * A, const gsl_matrix_float * B, |
1421 | float beta, gsl_matrix_float * C) |
1422 | { |
1423 | const size_t M = C->size1; |
1424 | const size_t N = C->size2; |
1425 | const size_t MA = A->size1; |
1426 | const size_t NA = A->size2; |
1427 | const size_t MB = B->size1; |
1428 | const size_t NB = B->size2; |
1429 | |
1430 | if (MA != NA) |
1431 | { |
1432 | GSL_ERROR ("matrix A must be square", GSL_ENOTSQR); |
1433 | } |
1434 | |
1435 | if ((Side == CblasLeft && (M == MA && N == NB && NA == MB)) |
1436 | || (Side == CblasRight && (M == MB && N == NA && NB == MA))) |
1437 | { |
1438 | cblas_ssymm (CblasRowMajor, Side, Uplo, INT (M), INT (N), alpha, |
1439 | A->data, INT (A->tda), B->data, INT (B->tda), beta, |
1440 | C->data, INT (C->tda)); |
1441 | return GSL_SUCCESS; |
1442 | } |
1443 | else |
1444 | { |
1445 | GSL_ERROR ("invalid length", GSL_EBADLEN); |
1446 | } |
1447 | |
1448 | } |
1449 | |
1450 | |
1451 | int |
1452 | gsl_blas_dsymm (CBLAS_SIDE_t Side, CBLAS_UPLO_t Uplo, double alpha, |
1453 | const gsl_matrix * A, const gsl_matrix * B, double beta, |
1454 | gsl_matrix * C) |
1455 | { |
1456 | const size_t M = C->size1; |
1457 | const size_t N = C->size2; |
1458 | const size_t MA = A->size1; |
1459 | const size_t NA = A->size2; |
1460 | const size_t MB = B->size1; |
1461 | const size_t NB = B->size2; |
1462 | |
1463 | if (MA != NA) |
1464 | { |
1465 | GSL_ERROR ("matrix A must be square", GSL_ENOTSQR); |
1466 | } |
1467 | |
1468 | if ((Side == CblasLeft && (M == MA && N == NB && NA == MB)) |
1469 | || (Side == CblasRight && (M == MB && N == NA && NB == MA))) |
1470 | { |
1471 | cblas_dsymm (CblasRowMajor, Side, Uplo, INT (M), INT (N), alpha, |
1472 | A->data, INT (A->tda), B->data, INT (B->tda), beta, |
1473 | C->data, INT (C->tda)); |
1474 | return GSL_SUCCESS; |
1475 | } |
1476 | else |
1477 | { |
1478 | GSL_ERROR ("invalid length", GSL_EBADLEN); |
1479 | } |
1480 | } |
1481 | |
1482 | |
1483 | int |
1484 | gsl_blas_csymm (CBLAS_SIDE_t Side, CBLAS_UPLO_t Uplo, |
1485 | const gsl_complex_float alpha, |
1486 | const gsl_matrix_complex_float * A, |
1487 | const gsl_matrix_complex_float * B, |
1488 | const gsl_complex_float beta, gsl_matrix_complex_float * C) |
1489 | { |
1490 | const size_t M = C->size1; |
1491 | const size_t N = C->size2; |
1492 | const size_t MA = A->size1; |
1493 | const size_t NA = A->size2; |
1494 | const size_t MB = B->size1; |
1495 | const size_t NB = B->size2; |
1496 | |
1497 | if (MA != NA) |
1498 | { |
1499 | GSL_ERROR ("matrix A must be square", GSL_ENOTSQR); |
1500 | } |
1501 | |
1502 | if ((Side == CblasLeft && (M == MA && N == NB && NA == MB)) |
1503 | || (Side == CblasRight && (M == MB && N == NA && NB == MA))) |
1504 | { |
1505 | cblas_csymm (CblasRowMajor, Side, Uplo, INT (M), INT (N), |
1506 | GSL_COMPLEX_P (&alpha), A->data, INT (A->tda), B->data, |
1507 | INT (B->tda), GSL_COMPLEX_P (&beta), C->data, |
1508 | INT (C->tda)); |
1509 | return GSL_SUCCESS; |
1510 | } |
1511 | else |
1512 | { |
1513 | GSL_ERROR ("invalid length", GSL_EBADLEN); |
1514 | } |
1515 | } |
1516 | |
1517 | int |
1518 | gsl_blas_zsymm (CBLAS_SIDE_t Side, CBLAS_UPLO_t Uplo, |
1519 | const gsl_complex alpha, const gsl_matrix_complex * A, |
1520 | const gsl_matrix_complex * B, const gsl_complex beta, |
1521 | gsl_matrix_complex * C) |
1522 | { |
1523 | const size_t M = C->size1; |
1524 | const size_t N = C->size2; |
1525 | const size_t MA = A->size1; |
1526 | const size_t NA = A->size2; |
1527 | const size_t MB = B->size1; |
1528 | const size_t NB = B->size2; |
1529 | |
1530 | if (MA != NA) |
1531 | { |
1532 | GSL_ERROR ("matrix A must be square", GSL_ENOTSQR); |
1533 | } |
1534 | |
1535 | if ((Side == CblasLeft && (M == MA && N == NB && NA == MB)) |
1536 | || (Side == CblasRight && (M == MB && N == NA && NB == MA))) |
1537 | { |
1538 | cblas_zsymm (CblasRowMajor, Side, Uplo, INT (M), INT (N), |
1539 | GSL_COMPLEX_P (&alpha), A->data, INT (A->tda), B->data, |
1540 | INT (B->tda), GSL_COMPLEX_P (&beta), C->data, |
1541 | INT (C->tda)); |
1542 | return GSL_SUCCESS; |
1543 | } |
1544 | else |
1545 | { |
1546 | GSL_ERROR ("invalid length", GSL_EBADLEN); |
1547 | } |
1548 | } |
1549 | |
1550 | |
1551 | /* HEMM */ |
1552 | |
1553 | int |
1554 | gsl_blas_chemm (CBLAS_SIDE_t Side, CBLAS_UPLO_t Uplo, |
1555 | const gsl_complex_float alpha, |
1556 | const gsl_matrix_complex_float * A, |
1557 | const gsl_matrix_complex_float * B, |
1558 | const gsl_complex_float beta, gsl_matrix_complex_float * C) |
1559 | { |
1560 | const size_t M = C->size1; |
1561 | const size_t N = C->size2; |
1562 | const size_t MA = A->size1; |
1563 | const size_t NA = A->size2; |
1564 | const size_t MB = B->size1; |
1565 | const size_t NB = B->size2; |
1566 | |
1567 | if (MA != NA) |
1568 | { |
1569 | GSL_ERROR ("matrix A must be square", GSL_ENOTSQR); |
1570 | } |
1571 | |
1572 | if ((Side == CblasLeft && (M == MA && N == NB && NA == MB)) |
1573 | || (Side == CblasRight && (M == MB && N == NA && NB == MA))) |
1574 | { |
1575 | cblas_chemm (CblasRowMajor, Side, Uplo, INT (M), INT (N), |
1576 | GSL_COMPLEX_P (&alpha), A->data, INT (A->tda), B->data, |
1577 | INT (B->tda), GSL_COMPLEX_P (&beta), C->data, |
1578 | INT (C->tda)); |
1579 | return GSL_SUCCESS; |
1580 | } |
1581 | else |
1582 | { |
1583 | GSL_ERROR ("invalid length", GSL_EBADLEN); |
1584 | } |
1585 | |
1586 | } |
1587 | |
1588 | |
1589 | int |
1590 | gsl_blas_zhemm (CBLAS_SIDE_t Side, CBLAS_UPLO_t Uplo, |
1591 | const gsl_complex alpha, const gsl_matrix_complex * A, |
1592 | const gsl_matrix_complex * B, const gsl_complex beta, |
1593 | gsl_matrix_complex * C) |
1594 | { |
1595 | const size_t M = C->size1; |
1596 | const size_t N = C->size2; |
1597 | const size_t MA = A->size1; |
1598 | const size_t NA = A->size2; |
1599 | const size_t MB = B->size1; |
1600 | const size_t NB = B->size2; |
1601 | |
1602 | if (MA != NA) |
1603 | { |
1604 | GSL_ERROR ("matrix A must be square", GSL_ENOTSQR); |
1605 | } |
1606 | |
1607 | if ((Side == CblasLeft && (M == MA && N == NB && NA == MB)) |
1608 | || (Side == CblasRight && (M == MB && N == NA && NB == MA))) |
1609 | { |
1610 | cblas_zhemm (CblasRowMajor, Side, Uplo, INT (M), INT (N), |
1611 | GSL_COMPLEX_P (&alpha), A->data, INT (A->tda), B->data, |
1612 | INT (B->tda), GSL_COMPLEX_P (&beta), C->data, |
1613 | INT (C->tda)); |
1614 | return GSL_SUCCESS; |
1615 | } |
1616 | else |
1617 | { |
1618 | GSL_ERROR ("invalid length", GSL_EBADLEN); |
1619 | } |
1620 | } |
1621 | |
1622 | /* SYRK */ |
1623 | |
1624 | int |
1625 | gsl_blas_ssyrk (CBLAS_UPLO_t Uplo, CBLAS_TRANSPOSE_t Trans, float alpha, |
1626 | const gsl_matrix_float * A, float beta, gsl_matrix_float * C) |
1627 | { |
1628 | const size_t M = C->size1; |
1629 | const size_t N = C->size2; |
1630 | const size_t J = (Trans == CblasNoTrans) ? A->size1 : A->size2; |
1631 | const size_t K = (Trans == CblasNoTrans) ? A->size2 : A->size1; |
1632 | |
1633 | if (M != N) |
1634 | { |
1635 | GSL_ERROR ("matrix C must be square", GSL_ENOTSQR); |
1636 | } |
1637 | else if (N != J) |
1638 | { |
1639 | GSL_ERROR ("invalid length", GSL_EBADLEN); |
1640 | } |
1641 | |
1642 | cblas_ssyrk (CblasRowMajor, Uplo, Trans, INT (N), INT (K), alpha, A->data, |
1643 | INT (A->tda), beta, C->data, INT (C->tda)); |
1644 | return GSL_SUCCESS; |
1645 | } |
1646 | |
1647 | |
1648 | int |
1649 | gsl_blas_dsyrk (CBLAS_UPLO_t Uplo, CBLAS_TRANSPOSE_t Trans, double alpha, |
1650 | const gsl_matrix * A, double beta, gsl_matrix * C) |
1651 | { |
1652 | const size_t M = C->size1; |
1653 | const size_t N = C->size2; |
1654 | const size_t J = (Trans == CblasNoTrans) ? A->size1 : A->size2; |
1655 | const size_t K = (Trans == CblasNoTrans) ? A->size2 : A->size1; |
1656 | |
1657 | if (M != N) |
1658 | { |
1659 | GSL_ERROR ("matrix C must be square", GSL_ENOTSQR); |
1660 | } |
1661 | else if (N != J) |
1662 | { |
1663 | GSL_ERROR ("invalid length", GSL_EBADLEN); |
1664 | } |
1665 | |
1666 | cblas_dsyrk (CblasRowMajor, Uplo, Trans, INT (N), INT (K), alpha, A->data, |
1667 | INT (A->tda), beta, C->data, INT (C->tda)); |
1668 | return GSL_SUCCESS; |
1669 | |
1670 | } |
1671 | |
1672 | |
1673 | int |
1674 | gsl_blas_csyrk (CBLAS_UPLO_t Uplo, CBLAS_TRANSPOSE_t Trans, |
1675 | const gsl_complex_float alpha, |
1676 | const gsl_matrix_complex_float * A, |
1677 | const gsl_complex_float beta, gsl_matrix_complex_float * C) |
1678 | { |
1679 | const size_t M = C->size1; |
1680 | const size_t N = C->size2; |
1681 | const size_t J = (Trans == CblasNoTrans) ? A->size1 : A->size2; |
1682 | const size_t K = (Trans == CblasNoTrans) ? A->size2 : A->size1; |
1683 | |
1684 | if (M != N) |
1685 | { |
1686 | GSL_ERROR ("matrix C must be square", GSL_ENOTSQR); |
1687 | } |
1688 | else if (N != J) |
1689 | { |
1690 | GSL_ERROR ("invalid length", GSL_EBADLEN); |
1691 | } |
1692 | |
1693 | cblas_csyrk (CblasRowMajor, Uplo, Trans, INT (N), INT (K), |
1694 | GSL_COMPLEX_P (&alpha), A->data, INT (A->tda), |
1695 | GSL_COMPLEX_P (&beta), C->data, INT (C->tda)); |
1696 | return GSL_SUCCESS; |
1697 | } |
1698 | |
1699 | |
1700 | int |
1701 | gsl_blas_zsyrk (CBLAS_UPLO_t Uplo, CBLAS_TRANSPOSE_t Trans, |
1702 | const gsl_complex alpha, const gsl_matrix_complex * A, |
1703 | const gsl_complex beta, gsl_matrix_complex * C) |
1704 | { |
1705 | const size_t M = C->size1; |
1706 | const size_t N = C->size2; |
1707 | const size_t J = (Trans == CblasNoTrans) ? A->size1 : A->size2; |
1708 | const size_t K = (Trans == CblasNoTrans) ? A->size2 : A->size1; |
1709 | |
1710 | if (M != N) |
1711 | { |
1712 | GSL_ERROR ("matrix C must be square", GSL_ENOTSQR); |
1713 | } |
1714 | else if (N != J) |
1715 | { |
1716 | GSL_ERROR ("invalid length", GSL_EBADLEN); |
1717 | } |
1718 | |
1719 | cblas_zsyrk (CblasRowMajor, Uplo, Trans, INT (N), INT (K), |
1720 | GSL_COMPLEX_P (&alpha), A->data, INT (A->tda), |
1721 | GSL_COMPLEX_P (&beta), C->data, INT (C->tda)); |
1722 | return GSL_SUCCESS; |
1723 | } |
1724 | |
1725 | /* HERK */ |
1726 | |
1727 | int |
1728 | gsl_blas_cherk (CBLAS_UPLO_t Uplo, CBLAS_TRANSPOSE_t Trans, float alpha, |
1729 | const gsl_matrix_complex_float * A, float beta, |
1730 | gsl_matrix_complex_float * C) |
1731 | { |
1732 | const size_t M = C->size1; |
1733 | const size_t N = C->size2; |
1734 | const size_t J = (Trans == CblasNoTrans) ? A->size1 : A->size2; |
1735 | const size_t K = (Trans == CblasNoTrans) ? A->size2 : A->size1; |
1736 | |
1737 | if (M != N) |
1738 | { |
1739 | GSL_ERROR ("matrix C must be square", GSL_ENOTSQR); |
1740 | } |
1741 | else if (N != J) |
1742 | { |
1743 | GSL_ERROR ("invalid length", GSL_EBADLEN); |
1744 | } |
1745 | |
1746 | cblas_cherk (CblasRowMajor, Uplo, Trans, INT (N), INT (K), alpha, A->data, |
1747 | INT (A->tda), beta, C->data, INT (C->tda)); |
1748 | return GSL_SUCCESS; |
1749 | } |
1750 | |
1751 | |
1752 | int |
1753 | gsl_blas_zherk (CBLAS_UPLO_t Uplo, CBLAS_TRANSPOSE_t Trans, double alpha, |
1754 | const gsl_matrix_complex * A, double beta, |
1755 | gsl_matrix_complex * C) |
1756 | { |
1757 | const size_t M = C->size1; |
1758 | const size_t N = C->size2; |
1759 | const size_t J = (Trans == CblasNoTrans) ? A->size1 : A->size2; |
1760 | const size_t K = (Trans == CblasNoTrans) ? A->size2 : A->size1; |
1761 | |
1762 | if (M != N) |
1763 | { |
1764 | GSL_ERROR ("matrix C must be square", GSL_ENOTSQR); |
1765 | } |
1766 | else if (N != J) |
1767 | { |
1768 | GSL_ERROR ("invalid length", GSL_EBADLEN); |
1769 | } |
1770 | |
1771 | cblas_zherk (CblasRowMajor, Uplo, Trans, INT (N), INT (K), alpha, A->data, |
1772 | INT (A->tda), beta, C->data, INT (C->tda)); |
1773 | return GSL_SUCCESS; |
1774 | } |
1775 | |
1776 | /* SYR2K */ |
1777 | |
1778 | int |
1779 | gsl_blas_ssyr2k (CBLAS_UPLO_t Uplo, CBLAS_TRANSPOSE_t Trans, float alpha, |
1780 | const gsl_matrix_float * A, const gsl_matrix_float * B, |
1781 | float beta, gsl_matrix_float * C) |
1782 | { |
1783 | const size_t M = C->size1; |
1784 | const size_t N = C->size2; |
1785 | const size_t MA = (Trans == CblasNoTrans) ? A->size1 : A->size2; |
1786 | const size_t NA = (Trans == CblasNoTrans) ? A->size2 : A->size1; |
1787 | const size_t MB = (Trans == CblasNoTrans) ? B->size1 : B->size2; |
1788 | const size_t NB = (Trans == CblasNoTrans) ? B->size2 : B->size1; |
1789 | |
1790 | if (M != N) |
1791 | { |
1792 | GSL_ERROR ("matrix C must be square", GSL_ENOTSQR); |
1793 | } |
1794 | else if (N != MA || N != MB || NA != NB) |
1795 | { |
1796 | GSL_ERROR ("invalid length", GSL_EBADLEN); |
1797 | } |
1798 | |
1799 | cblas_ssyr2k (CblasRowMajor, Uplo, Trans, INT (N), INT (NA), alpha, A->data, |
1800 | INT (A->tda), B->data, INT (B->tda), beta, C->data, |
1801 | INT (C->tda)); |
1802 | return GSL_SUCCESS; |
1803 | } |
1804 | |
1805 | |
1806 | int |
1807 | gsl_blas_dsyr2k (CBLAS_UPLO_t Uplo, CBLAS_TRANSPOSE_t Trans, double alpha, |
1808 | const gsl_matrix * A, const gsl_matrix * B, double beta, |
1809 | gsl_matrix * C) |
1810 | { |
1811 | const size_t M = C->size1; |
1812 | const size_t N = C->size2; |
1813 | const size_t MA = (Trans == CblasNoTrans) ? A->size1 : A->size2; |
1814 | const size_t NA = (Trans == CblasNoTrans) ? A->size2 : A->size1; |
1815 | const size_t MB = (Trans == CblasNoTrans) ? B->size1 : B->size2; |
1816 | const size_t NB = (Trans == CblasNoTrans) ? B->size2 : B->size1; |
1817 | |
1818 | if (M != N) |
1819 | { |
1820 | GSL_ERROR ("matrix C must be square", GSL_ENOTSQR); |
1821 | } |
1822 | else if (N != MA || N != MB || NA != NB) |
1823 | { |
1824 | GSL_ERROR ("invalid length", GSL_EBADLEN); |
1825 | } |
1826 | |
1827 | cblas_dsyr2k (CblasRowMajor, Uplo, Trans, INT (N), INT (NA), alpha, A->data, |
1828 | INT (A->tda), B->data, INT (B->tda), beta, C->data, |
1829 | INT (C->tda)); |
1830 | return GSL_SUCCESS; |
1831 | } |
1832 | |
1833 | |
1834 | int |
1835 | gsl_blas_csyr2k (CBLAS_UPLO_t Uplo, CBLAS_TRANSPOSE_t Trans, |
1836 | const gsl_complex_float alpha, |
1837 | const gsl_matrix_complex_float * A, |
1838 | const gsl_matrix_complex_float * B, |
1839 | const gsl_complex_float beta, gsl_matrix_complex_float * C) |
1840 | { |
1841 | const size_t M = C->size1; |
1842 | const size_t N = C->size2; |
1843 | const size_t MA = (Trans == CblasNoTrans) ? A->size1 : A->size2; |
1844 | const size_t NA = (Trans == CblasNoTrans) ? A->size2 : A->size1; |
1845 | const size_t MB = (Trans == CblasNoTrans) ? B->size1 : B->size2; |
1846 | const size_t NB = (Trans == CblasNoTrans) ? B->size2 : B->size1; |
1847 | |
1848 | if (M != N) |
1849 | { |
1850 | GSL_ERROR ("matrix C must be square", GSL_ENOTSQR); |
1851 | } |
1852 | else if (N != MA || N != MB || NA != NB) |
1853 | { |
1854 | GSL_ERROR ("invalid length", GSL_EBADLEN); |
1855 | } |
1856 | |
1857 | cblas_csyr2k (CblasRowMajor, Uplo, Trans, INT (N), INT (NA), |
1858 | GSL_COMPLEX_P (&alpha), A->data, INT (A->tda), B->data, |
1859 | INT (B->tda), GSL_COMPLEX_P (&beta), C->data, INT (C->tda)); |
1860 | return GSL_SUCCESS; |
1861 | } |
1862 | |
1863 | |
1864 | |
1865 | int |
1866 | gsl_blas_zsyr2k (CBLAS_UPLO_t Uplo, CBLAS_TRANSPOSE_t Trans, |
1867 | const gsl_complex alpha, const gsl_matrix_complex * A, |
1868 | const gsl_matrix_complex * B, const gsl_complex beta, |
1869 | gsl_matrix_complex * C) |
1870 | { |
1871 | const size_t M = C->size1; |
1872 | const size_t N = C->size2; |
1873 | const size_t MA = (Trans == CblasNoTrans) ? A->size1 : A->size2; |
1874 | const size_t NA = (Trans == CblasNoTrans) ? A->size2 : A->size1; |
1875 | const size_t MB = (Trans == CblasNoTrans) ? B->size1 : B->size2; |
1876 | const size_t NB = (Trans == CblasNoTrans) ? B->size2 : B->size1; |
1877 | |
1878 | if (M != N) |
1879 | { |
1880 | GSL_ERROR ("matrix C must be square", GSL_ENOTSQR); |
1881 | } |
1882 | else if (N != MA || N != MB || NA != NB) |
1883 | { |
1884 | GSL_ERROR ("invalid length", GSL_EBADLEN); |
1885 | } |
1886 | |
1887 | cblas_zsyr2k (CblasRowMajor, Uplo, Trans, INT (N), INT (NA), |
1888 | GSL_COMPLEX_P (&alpha), A->data, INT (A->tda), B->data, |
1889 | INT (B->tda), GSL_COMPLEX_P (&beta), C->data, INT (C->tda)); |
1890 | return GSL_SUCCESS; |
1891 | } |
1892 | |
1893 | /* HER2K */ |
1894 | |
1895 | int |
1896 | gsl_blas_cher2k (CBLAS_UPLO_t Uplo, CBLAS_TRANSPOSE_t Trans, |
1897 | const gsl_complex_float alpha, |
1898 | const gsl_matrix_complex_float * A, |
1899 | const gsl_matrix_complex_float * B, float beta, |
1900 | gsl_matrix_complex_float * C) |
1901 | { |
1902 | const size_t M = C->size1; |
1903 | const size_t N = C->size2; |
1904 | const size_t MA = (Trans == CblasNoTrans) ? A->size1 : A->size2; |
1905 | const size_t NA = (Trans == CblasNoTrans) ? A->size2 : A->size1; |
1906 | const size_t MB = (Trans == CblasNoTrans) ? B->size1 : B->size2; |
1907 | const size_t NB = (Trans == CblasNoTrans) ? B->size2 : B->size1; |
1908 | |
1909 | if (M != N) |
1910 | { |
1911 | GSL_ERROR ("matrix C must be square", GSL_ENOTSQR); |
1912 | } |
1913 | else if (N != MA || N != MB || NA != NB) |
1914 | { |
1915 | GSL_ERROR ("invalid length", GSL_EBADLEN); |
1916 | } |
1917 | |
1918 | cblas_cher2k (CblasRowMajor, Uplo, Trans, INT (N), INT (NA), |
1919 | GSL_COMPLEX_P (&alpha), A->data, INT (A->tda), B->data, |
1920 | INT (B->tda), beta, C->data, INT (C->tda)); |
1921 | return GSL_SUCCESS; |
1922 | |
1923 | } |
1924 | |
1925 | |
1926 | int |
1927 | gsl_blas_zher2k (CBLAS_UPLO_t Uplo, CBLAS_TRANSPOSE_t Trans, |
1928 | const gsl_complex alpha, const gsl_matrix_complex * A, |
1929 | const gsl_matrix_complex * B, double beta, |
1930 | gsl_matrix_complex * C) |
1931 | { |
1932 | const size_t M = C->size1; |
1933 | const size_t N = C->size2; |
1934 | const size_t MA = (Trans == CblasNoTrans) ? A->size1 : A->size2; |
1935 | const size_t NA = (Trans == CblasNoTrans) ? A->size2 : A->size1; |
1936 | const size_t MB = (Trans == CblasNoTrans) ? B->size1 : B->size2; |
1937 | const size_t NB = (Trans == CblasNoTrans) ? B->size2 : B->size1; |
1938 | |
1939 | if (M != N) |
1940 | { |
1941 | GSL_ERROR ("matrix C must be square", GSL_ENOTSQR); |
1942 | } |
1943 | else if (N != MA || N != MB || NA != NB) |
1944 | { |
1945 | GSL_ERROR ("invalid length", GSL_EBADLEN); |
1946 | } |
1947 | |
1948 | cblas_zher2k (CblasRowMajor, Uplo, Trans, INT (N), INT (NA), |
1949 | GSL_COMPLEX_P (&alpha), A->data, INT (A->tda), B->data, |
1950 | INT (B->tda), beta, C->data, INT (C->tda)); |
1951 | return GSL_SUCCESS; |
1952 | |
1953 | } |
1954 | |
1955 | /* TRMM */ |
1956 | |
1957 | int |
1958 | gsl_blas_strmm (CBLAS_SIDE_t Side, CBLAS_UPLO_t Uplo, |
1959 | CBLAS_TRANSPOSE_t TransA, CBLAS_DIAG_t Diag, float alpha, |
1960 | const gsl_matrix_float * A, gsl_matrix_float * B) |
1961 | { |
1962 | const size_t M = B->size1; |
1963 | const size_t N = B->size2; |
1964 | const size_t MA = A->size1; |
1965 | const size_t NA = A->size2; |
1966 | |
1967 | if (MA != NA) |
1968 | { |
1969 | GSL_ERROR ("matrix A must be square", GSL_ENOTSQR); |
1970 | } |
1971 | |
1972 | if ((Side == CblasLeft && M == MA) || (Side == CblasRight && N == MA)) |
1973 | { |
1974 | cblas_strmm (CblasRowMajor, Side, Uplo, TransA, Diag, INT (M), INT (N), |
1975 | alpha, A->data, INT (A->tda), B->data, INT (B->tda)); |
1976 | return GSL_SUCCESS; |
1977 | } |
1978 | else |
1979 | { |
1980 | GSL_ERROR ("invalid length", GSL_EBADLEN); |
1981 | } |
1982 | } |
1983 | |
1984 | |
1985 | int |
1986 | gsl_blas_dtrmm (CBLAS_SIDE_t Side, CBLAS_UPLO_t Uplo, |
1987 | CBLAS_TRANSPOSE_t TransA, CBLAS_DIAG_t Diag, double alpha, |
1988 | const gsl_matrix * A, gsl_matrix * B) |
1989 | { |
1990 | const size_t M = B->size1; |
1991 | const size_t N = B->size2; |
1992 | const size_t MA = A->size1; |
1993 | const size_t NA = A->size2; |
1994 | |
1995 | if (MA != NA) |
1996 | { |
1997 | GSL_ERROR ("matrix A must be square", GSL_ENOTSQR); |
1998 | } |
1999 | |
2000 | if ((Side == CblasLeft && M == MA) || (Side == CblasRight && N == MA)) |
2001 | { |
2002 | cblas_dtrmm (CblasRowMajor, Side, Uplo, TransA, Diag, INT (M), INT (N), |
2003 | alpha, A->data, INT (A->tda), B->data, INT (B->tda)); |
2004 | return GSL_SUCCESS; |
2005 | } |
2006 | else |
2007 | { |
2008 | GSL_ERROR ("invalid length", GSL_EBADLEN); |
2009 | } |
2010 | } |
2011 | |
2012 | |
2013 | int |
2014 | gsl_blas_ctrmm (CBLAS_SIDE_t Side, CBLAS_UPLO_t Uplo, |
2015 | CBLAS_TRANSPOSE_t TransA, CBLAS_DIAG_t Diag, |
2016 | const gsl_complex_float alpha, |
2017 | const gsl_matrix_complex_float * A, |
2018 | gsl_matrix_complex_float * B) |
2019 | { |
2020 | const size_t M = B->size1; |
2021 | const size_t N = B->size2; |
2022 | const size_t MA = A->size1; |
2023 | const size_t NA = A->size2; |
2024 | |
2025 | if (MA != NA) |
2026 | { |
2027 | GSL_ERROR ("matrix A must be square", GSL_ENOTSQR); |
2028 | } |
2029 | |
2030 | if ((Side == CblasLeft && M == MA) || (Side == CblasRight && N == MA)) |
2031 | { |
2032 | cblas_ctrmm (CblasRowMajor, Side, Uplo, TransA, Diag, INT (M), INT (N), |
2033 | GSL_COMPLEX_P (&alpha), A->data, INT (A->tda), B->data, |
2034 | INT (B->tda)); |
2035 | return GSL_SUCCESS; |
2036 | } |
2037 | else |
2038 | { |
2039 | GSL_ERROR ("invalid length", GSL_EBADLEN); |
2040 | } |
2041 | } |
2042 | |
2043 | |
2044 | int |
2045 | gsl_blas_ztrmm (CBLAS_SIDE_t Side, CBLAS_UPLO_t Uplo, |
2046 | CBLAS_TRANSPOSE_t TransA, CBLAS_DIAG_t Diag, |
2047 | const gsl_complex alpha, const gsl_matrix_complex * A, |
2048 | gsl_matrix_complex * B) |
2049 | { |
2050 | const size_t M = B->size1; |
2051 | const size_t N = B->size2; |
2052 | const size_t MA = A->size1; |
2053 | const size_t NA = A->size2; |
2054 | |
2055 | if (MA != NA) |
2056 | { |
2057 | GSL_ERROR ("matrix A must be square", GSL_ENOTSQR); |
2058 | } |
2059 | |
2060 | if ((Side == CblasLeft && M == MA) || (Side == CblasRight && N == MA)) |
2061 | { |
2062 | cblas_ztrmm (CblasRowMajor, Side, Uplo, TransA, Diag, INT (M), INT (N), |
2063 | GSL_COMPLEX_P (&alpha), A->data, INT (A->tda), B->data, |
2064 | INT (B->tda)); |
2065 | return GSL_SUCCESS; |
2066 | } |
2067 | else |
2068 | { |
2069 | GSL_ERROR ("invalid length", GSL_EBADLEN); |
2070 | } |
2071 | } |
2072 | |
2073 | |
2074 | /* TRSM */ |
2075 | |
2076 | int |
2077 | gsl_blas_strsm (CBLAS_SIDE_t Side, CBLAS_UPLO_t Uplo, |
2078 | CBLAS_TRANSPOSE_t TransA, CBLAS_DIAG_t Diag, float alpha, |
2079 | const gsl_matrix_float * A, gsl_matrix_float * B) |
2080 | { |
2081 | const size_t M = B->size1; |
2082 | const size_t N = B->size2; |
2083 | const size_t MA = A->size1; |
2084 | const size_t NA = A->size2; |
2085 | |
2086 | if (MA != NA) |
2087 | { |
2088 | GSL_ERROR ("matrix A must be square", GSL_ENOTSQR); |
2089 | } |
2090 | |
2091 | if ((Side == CblasLeft && M == MA) || (Side == CblasRight && N == MA)) |
2092 | { |
2093 | cblas_strsm (CblasRowMajor, Side, Uplo, TransA, Diag, INT (M), INT (N), |
2094 | alpha, A->data, INT (A->tda), B->data, INT (B->tda)); |
2095 | return GSL_SUCCESS; |
2096 | } |
2097 | else |
2098 | { |
2099 | GSL_ERROR ("invalid length", GSL_EBADLEN); |
2100 | } |
2101 | } |
2102 | |
2103 | |
2104 | int |
2105 | gsl_blas_dtrsm (CBLAS_SIDE_t Side, CBLAS_UPLO_t Uplo, |
2106 | CBLAS_TRANSPOSE_t TransA, CBLAS_DIAG_t Diag, double alpha, |
2107 | const gsl_matrix * A, gsl_matrix * B) |
2108 | { |
2109 | const size_t M = B->size1; |
2110 | const size_t N = B->size2; |
2111 | const size_t MA = A->size1; |
2112 | const size_t NA = A->size2; |
2113 | |
2114 | if (MA != NA) |
2115 | { |
2116 | GSL_ERROR ("matrix A must be square", GSL_ENOTSQR); |
2117 | } |
2118 | |
2119 | if ((Side == CblasLeft && M == MA) || (Side == CblasRight && N == MA)) |
2120 | { |
2121 | cblas_dtrsm (CblasRowMajor, Side, Uplo, TransA, Diag, INT (M), INT (N), |
2122 | alpha, A->data, INT (A->tda), B->data, INT (B->tda)); |
2123 | return GSL_SUCCESS; |
2124 | } |
2125 | else |
2126 | { |
2127 | GSL_ERROR ("invalid length", GSL_EBADLEN); |
2128 | } |
2129 | } |
2130 | |
2131 | |
2132 | int |
2133 | gsl_blas_ctrsm (CBLAS_SIDE_t Side, CBLAS_UPLO_t Uplo, |
2134 | CBLAS_TRANSPOSE_t TransA, CBLAS_DIAG_t Diag, |
2135 | const gsl_complex_float alpha, |
2136 | const gsl_matrix_complex_float * A, |
2137 | gsl_matrix_complex_float * B) |
2138 | { |
2139 | const size_t M = B->size1; |
2140 | const size_t N = B->size2; |
2141 | const size_t MA = A->size1; |
2142 | const size_t NA = A->size2; |
2143 | |
2144 | if (MA != NA) |
2145 | { |
2146 | GSL_ERROR ("matrix A must be square", GSL_ENOTSQR); |
2147 | } |
2148 | |
2149 | if ((Side == CblasLeft && M == MA) || (Side == CblasRight && N == MA)) |
2150 | { |
2151 | cblas_ctrsm (CblasRowMajor, Side, Uplo, TransA, Diag, INT (M), INT (N), |
2152 | GSL_COMPLEX_P (&alpha), A->data, INT (A->tda), B->data, |
2153 | INT (B->tda)); |
2154 | return GSL_SUCCESS; |
2155 | } |
2156 | else |
2157 | { |
2158 | GSL_ERROR ("invalid length", GSL_EBADLEN); |
2159 | } |
2160 | } |
2161 | |
2162 | |
2163 | int |
2164 | gsl_blas_ztrsm (CBLAS_SIDE_t Side, CBLAS_UPLO_t Uplo, |
2165 | CBLAS_TRANSPOSE_t TransA, CBLAS_DIAG_t Diag, |
2166 | const gsl_complex alpha, const gsl_matrix_complex * A, |
2167 | gsl_matrix_complex * B) |
2168 | { |
2169 | const size_t M = B->size1; |
2170 | const size_t N = B->size2; |
2171 | const size_t MA = A->size1; |
2172 | const size_t NA = A->size2; |
2173 | |
2174 | if (MA != NA) |
2175 | { |
2176 | GSL_ERROR ("matrix A must be square", GSL_ENOTSQR); |
2177 | } |
2178 | |
2179 | if ((Side == CblasLeft && M == MA) || (Side == CblasRight && N == MA)) |
2180 | { |
2181 | cblas_ztrsm (CblasRowMajor, Side, Uplo, TransA, Diag, INT (M), INT (N), |
2182 | GSL_COMPLEX_P (&alpha), A->data, INT (A->tda), B->data, |
2183 | INT (B->tda)); |
2184 | return GSL_SUCCESS; |
2185 | } |
2186 | else |
2187 | { |
2188 | GSL_ERROR ("invalid length", GSL_EBADLEN); |
2189 | } |
2190 | } |
2191 | |