1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
|
/* blas/gsl_blas.h
*
* Copyright (C) 1996, 1997, 1998, 1999, 2000 Gerard Jungman
*
* This program is free software; you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
* the Free Software Foundation; either version 2 of the License, or (at
* your option) any later version.
*
* This program is distributed in the hope that it will be useful, but
* WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
* General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with this program; if not, write to the Free Software
* Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
*/
/*
* Author: G. Jungman
*/
#ifndef __GSL_BLAS_H__
#define __GSL_BLAS_H__
#include <gsl/gsl_vector.h>
#include <gsl/gsl_matrix.h>
#include <gsl/gsl_blas_types.h>
#undef __BEGIN_DECLS
#undef __END_DECLS
#ifdef __cplusplus
# define __BEGIN_DECLS extern "C" {
# define __END_DECLS }
#else
# define __BEGIN_DECLS /* empty */
# define __END_DECLS /* empty */
#endif
__BEGIN_DECLS
/* ========================================================================
* Level 1
* ========================================================================
*/
int gsl_blas_sdsdot (float alpha,
const gsl_vector_float * X,
const gsl_vector_float * Y,
float * result
);
int gsl_blas_dsdot (const gsl_vector_float * X,
const gsl_vector_float * Y,
double * result
);
int gsl_blas_sdot (const gsl_vector_float * X,
const gsl_vector_float * Y,
float * result
);
int gsl_blas_ddot (const gsl_vector * X,
const gsl_vector * Y,
double * result
);
int gsl_blas_cdotu (const gsl_vector_complex_float * X,
const gsl_vector_complex_float * Y,
gsl_complex_float * dotu);
int gsl_blas_cdotc (const gsl_vector_complex_float * X,
const gsl_vector_complex_float * Y,
gsl_complex_float * dotc);
int gsl_blas_zdotu (const gsl_vector_complex * X,
const gsl_vector_complex * Y,
gsl_complex * dotu);
int gsl_blas_zdotc (const gsl_vector_complex * X,
const gsl_vector_complex * Y,
gsl_complex * dotc);
float gsl_blas_snrm2 (const gsl_vector_float * X);
float gsl_blas_sasum (const gsl_vector_float * X);
double gsl_blas_dnrm2 (const gsl_vector * X);
double gsl_blas_dasum (const gsl_vector * X);
float gsl_blas_scnrm2 (const gsl_vector_complex_float * X);
float gsl_blas_scasum (const gsl_vector_complex_float * X);
double gsl_blas_dznrm2 (const gsl_vector_complex * X);
double gsl_blas_dzasum (const gsl_vector_complex * X);
CBLAS_INDEX_t gsl_blas_isamax (const gsl_vector_float * X);
CBLAS_INDEX_t gsl_blas_idamax (const gsl_vector * X);
CBLAS_INDEX_t gsl_blas_icamax (const gsl_vector_complex_float * X);
CBLAS_INDEX_t gsl_blas_izamax (const gsl_vector_complex * X);
int gsl_blas_sswap (gsl_vector_float * X,
gsl_vector_float * Y);
int gsl_blas_scopy (const gsl_vector_float * X,
gsl_vector_float * Y);
int gsl_blas_saxpy (float alpha,
const gsl_vector_float * X,
gsl_vector_float * Y);
int gsl_blas_dswap (gsl_vector * X,
gsl_vector * Y);
int gsl_blas_dcopy (const gsl_vector * X,
gsl_vector * Y);
int gsl_blas_daxpy (double alpha,
const gsl_vector * X,
gsl_vector * Y);
int gsl_blas_cswap (gsl_vector_complex_float * X,
gsl_vector_complex_float * Y);
int gsl_blas_ccopy (const gsl_vector_complex_float * X,
gsl_vector_complex_float * Y);
int gsl_blas_caxpy (const gsl_complex_float alpha,
const gsl_vector_complex_float * X,
gsl_vector_complex_float * Y);
int gsl_blas_zswap (gsl_vector_complex * X,
gsl_vector_complex * Y);
int gsl_blas_zcopy (const gsl_vector_complex * X,
gsl_vector_complex * Y);
int gsl_blas_zaxpy (const gsl_complex alpha,
const gsl_vector_complex * X,
gsl_vector_complex * Y);
int gsl_blas_srotg (float a[], float b[], float c[], float s[]);
int gsl_blas_srotmg (float d1[], float d2[], float b1[], float b2, float P[]);
int gsl_blas_srot (gsl_vector_float * X,
gsl_vector_float * Y,
float c, float s);
int gsl_blas_srotm (gsl_vector_float * X,
gsl_vector_float * Y,
const float P[]);
int gsl_blas_drotg (double a[], double b[], double c[], double s[]);
int gsl_blas_drotmg (double d1[], double d2[], double b1[],
double b2, double P[]);
int gsl_blas_drot (gsl_vector * X,
gsl_vector * Y,
const double c, const double s);
int gsl_blas_drotm (gsl_vector * X,
gsl_vector * Y,
const double P[]);
void gsl_blas_sscal (float alpha, gsl_vector_float * X);
void gsl_blas_dscal (double alpha, gsl_vector * X);
void gsl_blas_cscal (const gsl_complex_float alpha, gsl_vector_complex_float * X);
void gsl_blas_zscal (const gsl_complex alpha, gsl_vector_complex * X);
void gsl_blas_csscal (float alpha, gsl_vector_complex_float * X);
void gsl_blas_zdscal (double alpha, gsl_vector_complex * X);
/* ===========================================================================
* Level 2
* ===========================================================================
*/
/*
* Routines with standard 4 prefixes (S, D, C, Z)
*/
int gsl_blas_sgemv (CBLAS_TRANSPOSE_t TransA,
float alpha,
const gsl_matrix_float * A,
const gsl_vector_float * X,
float beta,
gsl_vector_float * Y);
int gsl_blas_strmv (CBLAS_UPLO_t Uplo,
CBLAS_TRANSPOSE_t TransA, CBLAS_DIAG_t Diag,
const gsl_matrix_float * A,
gsl_vector_float * X);
int gsl_blas_strsv (CBLAS_UPLO_t Uplo,
CBLAS_TRANSPOSE_t TransA, CBLAS_DIAG_t Diag,
const gsl_matrix_float * A,
gsl_vector_float * X);
int gsl_blas_dgemv (CBLAS_TRANSPOSE_t TransA,
double alpha,
const gsl_matrix * A,
const gsl_vector * X,
double beta,
gsl_vector * Y);
int gsl_blas_dtrmv (CBLAS_UPLO_t Uplo,
CBLAS_TRANSPOSE_t TransA, CBLAS_DIAG_t Diag,
const gsl_matrix * A,
gsl_vector * X);
int gsl_blas_dtrsv (CBLAS_UPLO_t Uplo,
CBLAS_TRANSPOSE_t TransA, CBLAS_DIAG_t Diag,
const gsl_matrix * A,
gsl_vector * X);
int gsl_blas_cgemv (CBLAS_TRANSPOSE_t TransA,
const gsl_complex_float alpha,
const gsl_matrix_complex_float * A,
const gsl_vector_complex_float * X,
const gsl_complex_float beta,
gsl_vector_complex_float * Y);
int gsl_blas_ctrmv (CBLAS_UPLO_t Uplo,
CBLAS_TRANSPOSE_t TransA, CBLAS_DIAG_t Diag,
const gsl_matrix_complex_float * A,
gsl_vector_complex_float * X);
int gsl_blas_ctrsv (CBLAS_UPLO_t Uplo,
CBLAS_TRANSPOSE_t TransA, CBLAS_DIAG_t Diag,
const gsl_matrix_complex_float * A,
gsl_vector_complex_float * X);
int gsl_blas_zgemv (CBLAS_TRANSPOSE_t TransA,
const gsl_complex alpha,
const gsl_matrix_complex * A,
const gsl_vector_complex * X,
const gsl_complex beta,
gsl_vector_complex * Y);
int gsl_blas_ztrmv (CBLAS_UPLO_t Uplo,
CBLAS_TRANSPOSE_t TransA, CBLAS_DIAG_t Diag,
const gsl_matrix_complex * A,
gsl_vector_complex * X);
int gsl_blas_ztrsv (CBLAS_UPLO_t Uplo,
CBLAS_TRANSPOSE_t TransA, CBLAS_DIAG_t Diag,
const gsl_matrix_complex * A,
gsl_vector_complex *X);
/*
* Routines with S and D prefixes only
*/
int gsl_blas_ssymv (CBLAS_UPLO_t Uplo,
float alpha,
const gsl_matrix_float * A,
const gsl_vector_float * X,
float beta,
gsl_vector_float * Y);
int gsl_blas_sger (float alpha,
const gsl_vector_float * X,
const gsl_vector_float * Y,
gsl_matrix_float * A);
int gsl_blas_ssyr (CBLAS_UPLO_t Uplo,
float alpha,
const gsl_vector_float * X,
gsl_matrix_float * A);
int gsl_blas_ssyr2 (CBLAS_UPLO_t Uplo,
float alpha,
const gsl_vector_float * X,
const gsl_vector_float * Y,
gsl_matrix_float * A);
int gsl_blas_dsymv (CBLAS_UPLO_t Uplo,
double alpha,
const gsl_matrix * A,
const gsl_vector * X,
double beta,
gsl_vector * Y);
int gsl_blas_dger (double alpha,
const gsl_vector * X,
const gsl_vector * Y,
gsl_matrix * A);
int gsl_blas_dsyr (CBLAS_UPLO_t Uplo,
double alpha,
const gsl_vector * X,
gsl_matrix * A);
int gsl_blas_dsyr2 (CBLAS_UPLO_t Uplo,
double alpha,
const gsl_vector * X,
const gsl_vector * Y,
gsl_matrix * A);
/*
* Routines with C and Z prefixes only
*/
int gsl_blas_chemv (CBLAS_UPLO_t Uplo,
const gsl_complex_float alpha,
const gsl_matrix_complex_float * A,
const gsl_vector_complex_float * X,
const gsl_complex_float beta,
gsl_vector_complex_float * Y);
int gsl_blas_cgeru (const gsl_complex_float alpha,
const gsl_vector_complex_float * X,
const gsl_vector_complex_float * Y,
gsl_matrix_complex_float * A);
int gsl_blas_cgerc (const gsl_complex_float alpha,
const gsl_vector_complex_float * X,
const gsl_vector_complex_float * Y,
gsl_matrix_complex_float * A);
int gsl_blas_cher (CBLAS_UPLO_t Uplo,
float alpha,
const gsl_vector_complex_float * X,
gsl_matrix_complex_float * A);
int gsl_blas_cher2 (CBLAS_UPLO_t Uplo,
const gsl_complex_float alpha,
const gsl_vector_complex_float * X,
const gsl_vector_complex_float * Y,
gsl_matrix_complex_float * A);
int gsl_blas_zhemv (CBLAS_UPLO_t Uplo,
const gsl_complex alpha,
const gsl_matrix_complex * A,
const gsl_vector_complex * X,
const gsl_complex beta,
gsl_vector_complex * Y);
int gsl_blas_zgeru (const gsl_complex alpha,
const gsl_vector_complex * X,
const gsl_vector_complex * Y,
gsl_matrix_complex * A);
int gsl_blas_zgerc (const gsl_complex alpha,
const gsl_vector_complex * X,
const gsl_vector_complex * Y,
gsl_matrix_complex * A);
int gsl_blas_zher (CBLAS_UPLO_t Uplo,
double alpha,
const gsl_vector_complex * X,
gsl_matrix_complex * A);
int gsl_blas_zher2 (CBLAS_UPLO_t Uplo,
const gsl_complex alpha,
const gsl_vector_complex * X,
const gsl_vector_complex * Y,
gsl_matrix_complex * A);
/*
* ===========================================================================
* Prototypes for level 3 BLAS
* ===========================================================================
*/
/*
* Routines with standard 4 prefixes (S, D, C, Z)
*/
int gsl_blas_sgemm (CBLAS_TRANSPOSE_t TransA,
CBLAS_TRANSPOSE_t TransB,
float alpha,
const gsl_matrix_float * A,
const gsl_matrix_float * B,
float beta,
gsl_matrix_float * C);
int gsl_blas_ssymm (CBLAS_SIDE_t Side, CBLAS_UPLO_t Uplo,
float alpha,
const gsl_matrix_float * A,
const gsl_matrix_float * B,
float beta,
gsl_matrix_float * C);
int gsl_blas_ssyrk (CBLAS_UPLO_t Uplo, CBLAS_TRANSPOSE_t Trans,
float alpha,
const gsl_matrix_float * A,
float beta,
gsl_matrix_float * C);
int gsl_blas_ssyr2k (CBLAS_UPLO_t Uplo, CBLAS_TRANSPOSE_t Trans,
float alpha,
const gsl_matrix_float * A,
const gsl_matrix_float * B,
float beta,
gsl_matrix_float * C);
int gsl_blas_strmm (CBLAS_SIDE_t Side,
CBLAS_UPLO_t Uplo, CBLAS_TRANSPOSE_t TransA,
CBLAS_DIAG_t Diag,
float alpha,
const gsl_matrix_float * A,
gsl_matrix_float * B);
int gsl_blas_strsm (CBLAS_SIDE_t Side,
CBLAS_UPLO_t Uplo, CBLAS_TRANSPOSE_t TransA,
CBLAS_DIAG_t Diag,
float alpha,
const gsl_matrix_float * A,
gsl_matrix_float * B);
int gsl_blas_dgemm (CBLAS_TRANSPOSE_t TransA,
CBLAS_TRANSPOSE_t TransB,
double alpha,
const gsl_matrix * A,
const gsl_matrix * B,
double beta,
gsl_matrix * C);
int gsl_blas_dsymm (CBLAS_SIDE_t Side,
CBLAS_UPLO_t Uplo,
double alpha,
const gsl_matrix * A,
const gsl_matrix * B,
double beta,
gsl_matrix * C);
int gsl_blas_dsyrk (CBLAS_UPLO_t Uplo,
CBLAS_TRANSPOSE_t Trans,
double alpha,
const gsl_matrix * A,
double beta,
gsl_matrix * C);
int gsl_blas_dsyr2k (CBLAS_UPLO_t Uplo,
CBLAS_TRANSPOSE_t Trans,
double alpha,
const gsl_matrix * A,
const gsl_matrix * B,
double beta,
gsl_matrix * C);
int gsl_blas_dtrmm (CBLAS_SIDE_t Side,
CBLAS_UPLO_t Uplo, CBLAS_TRANSPOSE_t TransA,
CBLAS_DIAG_t Diag,
double alpha,
const gsl_matrix * A,
gsl_matrix * B);
int gsl_blas_dtrsm (CBLAS_SIDE_t Side,
CBLAS_UPLO_t Uplo, CBLAS_TRANSPOSE_t TransA,
CBLAS_DIAG_t Diag,
double alpha,
const gsl_matrix * A,
gsl_matrix * B);
int gsl_blas_cgemm (CBLAS_TRANSPOSE_t TransA,
CBLAS_TRANSPOSE_t TransB,
const gsl_complex_float alpha,
const gsl_matrix_complex_float * A,
const gsl_matrix_complex_float * B,
const gsl_complex_float beta,
gsl_matrix_complex_float * C);
int gsl_blas_csymm (CBLAS_SIDE_t Side,
CBLAS_UPLO_t Uplo,
const gsl_complex_float alpha,
const gsl_matrix_complex_float * A,
const gsl_matrix_complex_float * B,
const gsl_complex_float beta,
gsl_matrix_complex_float * C);
int gsl_blas_csyrk (CBLAS_UPLO_t Uplo,
CBLAS_TRANSPOSE_t Trans,
const gsl_complex_float alpha,
const gsl_matrix_complex_float * A,
const gsl_complex_float beta,
gsl_matrix_complex_float * C);
int gsl_blas_csyr2k (CBLAS_UPLO_t Uplo,
CBLAS_TRANSPOSE_t Trans,
const gsl_complex_float alpha,
const gsl_matrix_complex_float * A,
const gsl_matrix_complex_float * B,
const gsl_complex_float beta,
gsl_matrix_complex_float * C);
int gsl_blas_ctrmm (CBLAS_SIDE_t Side,
CBLAS_UPLO_t Uplo, CBLAS_TRANSPOSE_t TransA,
CBLAS_DIAG_t Diag,
const gsl_complex_float alpha,
const gsl_matrix_complex_float * A,
gsl_matrix_complex_float * B);
int gsl_blas_ctrsm (CBLAS_SIDE_t Side,
CBLAS_UPLO_t Uplo, CBLAS_TRANSPOSE_t TransA,
CBLAS_DIAG_t Diag,
const gsl_complex_float alpha,
const gsl_matrix_complex_float * A,
gsl_matrix_complex_float * B);
int gsl_blas_zgemm (CBLAS_TRANSPOSE_t TransA,
CBLAS_TRANSPOSE_t TransB,
const gsl_complex alpha,
const gsl_matrix_complex * A,
const gsl_matrix_complex * B,
const gsl_complex beta,
gsl_matrix_complex * C);
int gsl_blas_zsymm (CBLAS_SIDE_t Side,
CBLAS_UPLO_t Uplo,
const gsl_complex alpha,
const gsl_matrix_complex * A,
const gsl_matrix_complex * B,
const gsl_complex beta,
gsl_matrix_complex * C);
int gsl_blas_zsyrk (CBLAS_UPLO_t Uplo,
CBLAS_TRANSPOSE_t Trans,
const gsl_complex alpha,
const gsl_matrix_complex * A,
const gsl_complex beta,
gsl_matrix_complex * C);
int gsl_blas_zsyr2k (CBLAS_UPLO_t Uplo,
CBLAS_TRANSPOSE_t Trans,
const gsl_complex alpha,
const gsl_matrix_complex * A,
const gsl_matrix_complex * B,
const gsl_complex beta,
gsl_matrix_complex *C);
int gsl_blas_ztrmm (CBLAS_SIDE_t Side,
CBLAS_UPLO_t Uplo, CBLAS_TRANSPOSE_t TransA,
CBLAS_DIAG_t Diag,
const gsl_complex alpha,
const gsl_matrix_complex * A,
gsl_matrix_complex * B);
int gsl_blas_ztrsm (CBLAS_SIDE_t Side,
CBLAS_UPLO_t Uplo, CBLAS_TRANSPOSE_t TransA,
CBLAS_DIAG_t Diag,
const gsl_complex alpha,
const gsl_matrix_complex * A,
gsl_matrix_complex * B);
/*
* Routines with prefixes C and Z only
*/
int gsl_blas_chemm (CBLAS_SIDE_t Side,
CBLAS_UPLO_t Uplo,
const gsl_complex_float alpha,
const gsl_matrix_complex_float * A,
const gsl_matrix_complex_float * B,
const gsl_complex_float beta,
gsl_matrix_complex_float * C);
int gsl_blas_cherk (CBLAS_UPLO_t Uplo,
CBLAS_TRANSPOSE_t Trans,
float alpha,
const gsl_matrix_complex_float * A,
float beta,
gsl_matrix_complex_float * C);
int gsl_blas_cher2k (CBLAS_UPLO_t Uplo,
CBLAS_TRANSPOSE_t Trans,
const gsl_complex_float alpha,
const gsl_matrix_complex_float * A,
const gsl_matrix_complex_float * B,
float beta,
gsl_matrix_complex_float * C);
int gsl_blas_zhemm (CBLAS_SIDE_t Side,
CBLAS_UPLO_t Uplo,
const gsl_complex alpha,
const gsl_matrix_complex * A,
const gsl_matrix_complex * B,
const gsl_complex beta,
gsl_matrix_complex * C);
int gsl_blas_zherk (CBLAS_UPLO_t Uplo,
CBLAS_TRANSPOSE_t Trans,
double alpha,
const gsl_matrix_complex * A,
double beta,
gsl_matrix_complex * C);
int gsl_blas_zher2k (CBLAS_UPLO_t Uplo,
CBLAS_TRANSPOSE_t Trans,
const gsl_complex alpha,
const gsl_matrix_complex * A,
const gsl_matrix_complex * B,
double beta,
gsl_matrix_complex * C);
__END_DECLS
#endif /* __GSL_BLAS_H__ */
|
