Newer
Older
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
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
802
803
804
805
806
807
808
809
810
811
812
813
814
815
816
817
818
819
820
821
822
823
824
825
826
827
828
829
830
831
832
833
834
835
836
837
838
839
840
841
842
843
844
845
846
847
848
849
850
851
852
853
854
855
856
857
858
859
860
861
862
863
864
865
866
867
868
869
870
871
872
873
874
875
876
877
878
879
880
881
882
883
884
885
886
887
888
889
890
891
892
893
894
895
896
897
898
899
900
901
902
903
904
905
906
907
908
909
910
911
912
913
914
915
916
917
918
919
920
921
922
923
924
925
926
927
928
929
930
931
932
933
934
935
936
937
938
939
940
941
942
943
944
945
946
947
948
949
950
951
952
953
954
955
956
957
958
959
960
961
962
963
964
965
966
967
968
969
970
971
972
973
974
975
976
977
978
979
980
981
982
983
984
985
986
987
988
989
990
991
992
993
994
995
996
997
998
999
1000
/*****************************************************************************
Copyright (c) 2010, Intel Corp.
All rights reserved.
Redistribution and use in source and binary forms, with or without
modification, are permitted provided that the following conditions are met:
* Redistributions of source code must retain the above copyright notice,
this list of conditions and the following disclaimer.
* Redistributions in binary form must reproduce the above copyright
notice, this list of conditions and the following disclaimer in the
documentation and/or other materials provided with the distribution.
* Neither the name of Intel Corporation nor the names of its contributors
may be used to endorse or promote products derived from this software
without specific prior written permission.
THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF
THE POSSIBILITY OF SUCH DAMAGE.
******************************************************************************
* Contents: Native C interface to LAPACK
* Author: Intel Corporation
* Generated November, 2011
*****************************************************************************/
#ifndef _MKL_LAPACKE_H_
#ifndef _LAPACKE_H_
#define _LAPACKE_H_
/*
* Turn on HAVE_LAPACK_CONFIG_H to redefine C-LAPACK datatypes
*/
#ifdef HAVE_LAPACK_CONFIG_H
#include "lapacke_config.h"
#endif
#ifdef __cplusplus
extern "C" {
#endif /* __cplusplus */
#include <stdlib.h>
#ifndef lapack_int
#define lapack_int int
#endif
#ifndef lapack_logical
#define lapack_logical lapack_int
#endif
/* Complex types are structures equivalent to the
* Fortran complex types COMPLEX(4) and COMPLEX(8).
*
* One can also redefine the types with his own types
* for example by including in the code definitions like
*
* #define lapack_complex_float std::complex<float>
* #define lapack_complex_double std::complex<double>
*
* or define these types in the command line:
*
* -Dlapack_complex_float="std::complex<float>"
* -Dlapack_complex_double="std::complex<double>"
*/
#ifndef LAPACK_COMPLEX_CUSTOM
/* Complex type (single precision) */
#ifndef lapack_complex_float
#include <complex.h>
#define lapack_complex_float float _Complex
#endif
#ifndef lapack_complex_float_real
#define lapack_complex_float_real(z) (creal(z))
#endif
#ifndef lapack_complex_float_imag
#define lapack_complex_float_imag(z) (cimag(z))
#endif
lapack_complex_float lapack_make_complex_float( float re, float im );
/* Complex type (double precision) */
#ifndef lapack_complex_double
#include <complex.h>
#define lapack_complex_double double _Complex
#endif
#ifndef lapack_complex_double_real
#define lapack_complex_double_real(z) (creal(z))
#endif
#ifndef lapack_complex_double_imag
#define lapack_complex_double_imag(z) (cimag(z))
#endif
lapack_complex_double lapack_make_complex_double( double re, double im );
#endif
#ifndef LAPACKE_malloc
#define LAPACKE_malloc( size ) malloc( size )
#endif
#ifndef LAPACKE_free
#define LAPACKE_free( p ) free( p )
#endif
#define LAPACK_C2INT( x ) (lapack_int)(*((float*)&x ))
#define LAPACK_Z2INT( x ) (lapack_int)(*((double*)&x ))
#define LAPACK_ROW_MAJOR 101
#define LAPACK_COL_MAJOR 102
#define LAPACK_WORK_MEMORY_ERROR -1010
#define LAPACK_TRANSPOSE_MEMORY_ERROR -1011
/* Callback logical functions of one, two, or three arguments are used
* to select eigenvalues to sort to the top left of the Schur form.
* The value is selected if function returns TRUE (non-zero). */
typedef lapack_logical (*LAPACK_S_SELECT2) ( const float*, const float* );
typedef lapack_logical (*LAPACK_S_SELECT3)
( const float*, const float*, const float* );
typedef lapack_logical (*LAPACK_D_SELECT2) ( const double*, const double* );
typedef lapack_logical (*LAPACK_D_SELECT3)
( const double*, const double*, const double* );
typedef lapack_logical (*LAPACK_C_SELECT1) ( const lapack_complex_float* );
typedef lapack_logical (*LAPACK_C_SELECT2)
( const lapack_complex_float*, const lapack_complex_float* );
typedef lapack_logical (*LAPACK_Z_SELECT1) ( const lapack_complex_double* );
typedef lapack_logical (*LAPACK_Z_SELECT2)
( const lapack_complex_double*, const lapack_complex_double* );
#include "lapacke_mangling.h"
#define LAPACK_lsame LAPACK_GLOBAL(lsame,LSAME)
lapack_logical LAPACK_lsame( char* ca, char* cb,
lapack_int lca, lapack_int lcb );
/* C-LAPACK function prototypes */
lapack_int LAPACKE_sbdsdc( int matrix_order, char uplo, char compq,
lapack_int n, float* d, float* e, float* u,
lapack_int ldu, float* vt, lapack_int ldvt, float* q,
lapack_int* iq );
lapack_int LAPACKE_dbdsdc( int matrix_order, char uplo, char compq,
lapack_int n, double* d, double* e, double* u,
lapack_int ldu, double* vt, lapack_int ldvt,
double* q, lapack_int* iq );
lapack_int LAPACKE_sbdsqr( int matrix_order, char uplo, lapack_int n,
lapack_int ncvt, lapack_int nru, lapack_int ncc,
float* d, float* e, float* vt, lapack_int ldvt,
float* u, lapack_int ldu, float* c, lapack_int ldc );
lapack_int LAPACKE_dbdsqr( int matrix_order, char uplo, lapack_int n,
lapack_int ncvt, lapack_int nru, lapack_int ncc,
double* d, double* e, double* vt, lapack_int ldvt,
double* u, lapack_int ldu, double* c,
lapack_int ldc );
lapack_int LAPACKE_cbdsqr( int matrix_order, char uplo, lapack_int n,
lapack_int ncvt, lapack_int nru, lapack_int ncc,
float* d, float* e, lapack_complex_float* vt,
lapack_int ldvt, lapack_complex_float* u,
lapack_int ldu, lapack_complex_float* c,
lapack_int ldc );
lapack_int LAPACKE_zbdsqr( int matrix_order, char uplo, lapack_int n,
lapack_int ncvt, lapack_int nru, lapack_int ncc,
double* d, double* e, lapack_complex_double* vt,
lapack_int ldvt, lapack_complex_double* u,
lapack_int ldu, lapack_complex_double* c,
lapack_int ldc );
lapack_int LAPACKE_sdisna( char job, lapack_int m, lapack_int n, const float* d,
float* sep );
lapack_int LAPACKE_ddisna( char job, lapack_int m, lapack_int n,
const double* d, double* sep );
lapack_int LAPACKE_sgbbrd( int matrix_order, char vect, lapack_int m,
lapack_int n, lapack_int ncc, lapack_int kl,
lapack_int ku, float* ab, lapack_int ldab, float* d,
float* e, float* q, lapack_int ldq, float* pt,
lapack_int ldpt, float* c, lapack_int ldc );
lapack_int LAPACKE_dgbbrd( int matrix_order, char vect, lapack_int m,
lapack_int n, lapack_int ncc, lapack_int kl,
lapack_int ku, double* ab, lapack_int ldab,
double* d, double* e, double* q, lapack_int ldq,
double* pt, lapack_int ldpt, double* c,
lapack_int ldc );
lapack_int LAPACKE_cgbbrd( int matrix_order, char vect, lapack_int m,
lapack_int n, lapack_int ncc, lapack_int kl,
lapack_int ku, lapack_complex_float* ab,
lapack_int ldab, float* d, float* e,
lapack_complex_float* q, lapack_int ldq,
lapack_complex_float* pt, lapack_int ldpt,
lapack_complex_float* c, lapack_int ldc );
lapack_int LAPACKE_zgbbrd( int matrix_order, char vect, lapack_int m,
lapack_int n, lapack_int ncc, lapack_int kl,
lapack_int ku, lapack_complex_double* ab,
lapack_int ldab, double* d, double* e,
lapack_complex_double* q, lapack_int ldq,
lapack_complex_double* pt, lapack_int ldpt,
lapack_complex_double* c, lapack_int ldc );
lapack_int LAPACKE_sgbcon( int matrix_order, char norm, lapack_int n,
lapack_int kl, lapack_int ku, const float* ab,
lapack_int ldab, const lapack_int* ipiv, float anorm,
float* rcond );
lapack_int LAPACKE_dgbcon( int matrix_order, char norm, lapack_int n,
lapack_int kl, lapack_int ku, const double* ab,
lapack_int ldab, const lapack_int* ipiv,
double anorm, double* rcond );
lapack_int LAPACKE_cgbcon( int matrix_order, char norm, lapack_int n,
lapack_int kl, lapack_int ku,
const lapack_complex_float* ab, lapack_int ldab,
const lapack_int* ipiv, float anorm, float* rcond );
lapack_int LAPACKE_zgbcon( int matrix_order, char norm, lapack_int n,
lapack_int kl, lapack_int ku,
const lapack_complex_double* ab, lapack_int ldab,
const lapack_int* ipiv, double anorm,
double* rcond );
lapack_int LAPACKE_sgbequ( int matrix_order, lapack_int m, lapack_int n,
lapack_int kl, lapack_int ku, const float* ab,
lapack_int ldab, float* r, float* c, float* rowcnd,
float* colcnd, float* amax );
lapack_int LAPACKE_dgbequ( int matrix_order, lapack_int m, lapack_int n,
lapack_int kl, lapack_int ku, const double* ab,
lapack_int ldab, double* r, double* c,
double* rowcnd, double* colcnd, double* amax );
lapack_int LAPACKE_cgbequ( int matrix_order, lapack_int m, lapack_int n,
lapack_int kl, lapack_int ku,
const lapack_complex_float* ab, lapack_int ldab,
float* r, float* c, float* rowcnd, float* colcnd,
float* amax );
lapack_int LAPACKE_zgbequ( int matrix_order, lapack_int m, lapack_int n,
lapack_int kl, lapack_int ku,
const lapack_complex_double* ab, lapack_int ldab,
double* r, double* c, double* rowcnd, double* colcnd,
double* amax );
lapack_int LAPACKE_sgbequb( int matrix_order, lapack_int m, lapack_int n,
lapack_int kl, lapack_int ku, const float* ab,
lapack_int ldab, float* r, float* c, float* rowcnd,
float* colcnd, float* amax );
lapack_int LAPACKE_dgbequb( int matrix_order, lapack_int m, lapack_int n,
lapack_int kl, lapack_int ku, const double* ab,
lapack_int ldab, double* r, double* c,
double* rowcnd, double* colcnd, double* amax );
lapack_int LAPACKE_cgbequb( int matrix_order, lapack_int m, lapack_int n,
lapack_int kl, lapack_int ku,
const lapack_complex_float* ab, lapack_int ldab,
float* r, float* c, float* rowcnd, float* colcnd,
float* amax );
lapack_int LAPACKE_zgbequb( int matrix_order, lapack_int m, lapack_int n,
lapack_int kl, lapack_int ku,
const lapack_complex_double* ab, lapack_int ldab,
double* r, double* c, double* rowcnd,
double* colcnd, double* amax );
lapack_int LAPACKE_sgbrfs( int matrix_order, char trans, lapack_int n,
lapack_int kl, lapack_int ku, lapack_int nrhs,
const float* ab, lapack_int ldab, const float* afb,
lapack_int ldafb, const lapack_int* ipiv,
const float* b, lapack_int ldb, float* x,
lapack_int ldx, float* ferr, float* berr );
lapack_int LAPACKE_dgbrfs( int matrix_order, char trans, lapack_int n,
lapack_int kl, lapack_int ku, lapack_int nrhs,
const double* ab, lapack_int ldab, const double* afb,
lapack_int ldafb, const lapack_int* ipiv,
const double* b, lapack_int ldb, double* x,
lapack_int ldx, double* ferr, double* berr );
lapack_int LAPACKE_cgbrfs( int matrix_order, char trans, lapack_int n,
lapack_int kl, lapack_int ku, lapack_int nrhs,
const lapack_complex_float* ab, lapack_int ldab,
const lapack_complex_float* afb, lapack_int ldafb,
const lapack_int* ipiv,
const lapack_complex_float* b, lapack_int ldb,
lapack_complex_float* x, lapack_int ldx, float* ferr,
float* berr );
lapack_int LAPACKE_zgbrfs( int matrix_order, char trans, lapack_int n,
lapack_int kl, lapack_int ku, lapack_int nrhs,
const lapack_complex_double* ab, lapack_int ldab,
const lapack_complex_double* afb, lapack_int ldafb,
const lapack_int* ipiv,
const lapack_complex_double* b, lapack_int ldb,
lapack_complex_double* x, lapack_int ldx,
double* ferr, double* berr );
lapack_int LAPACKE_sgbrfsx( int matrix_order, char trans, char equed,
lapack_int n, lapack_int kl, lapack_int ku,
lapack_int nrhs, const float* ab, lapack_int ldab,
const float* afb, lapack_int ldafb,
const lapack_int* ipiv, const float* r,
const float* c, const float* b, lapack_int ldb,
float* x, lapack_int ldx, float* rcond, float* berr,
lapack_int n_err_bnds, float* err_bnds_norm,
float* err_bnds_comp, lapack_int nparams,
float* params );
lapack_int LAPACKE_dgbrfsx( int matrix_order, char trans, char equed,
lapack_int n, lapack_int kl, lapack_int ku,
lapack_int nrhs, const double* ab, lapack_int ldab,
const double* afb, lapack_int ldafb,
const lapack_int* ipiv, const double* r,
const double* c, const double* b, lapack_int ldb,
double* x, lapack_int ldx, double* rcond,
double* berr, lapack_int n_err_bnds,
double* err_bnds_norm, double* err_bnds_comp,
lapack_int nparams, double* params );
lapack_int LAPACKE_cgbrfsx( int matrix_order, char trans, char equed,
lapack_int n, lapack_int kl, lapack_int ku,
lapack_int nrhs, const lapack_complex_float* ab,
lapack_int ldab, const lapack_complex_float* afb,
lapack_int ldafb, const lapack_int* ipiv,
const float* r, const float* c,
const lapack_complex_float* b, lapack_int ldb,
lapack_complex_float* x, lapack_int ldx,
float* rcond, float* berr, lapack_int n_err_bnds,
float* err_bnds_norm, float* err_bnds_comp,
lapack_int nparams, float* params );
lapack_int LAPACKE_zgbrfsx( int matrix_order, char trans, char equed,
lapack_int n, lapack_int kl, lapack_int ku,
lapack_int nrhs, const lapack_complex_double* ab,
lapack_int ldab, const lapack_complex_double* afb,
lapack_int ldafb, const lapack_int* ipiv,
const double* r, const double* c,
const lapack_complex_double* b, lapack_int ldb,
lapack_complex_double* x, lapack_int ldx,
double* rcond, double* berr, lapack_int n_err_bnds,
double* err_bnds_norm, double* err_bnds_comp,
lapack_int nparams, double* params );
lapack_int LAPACKE_sgbsv( int matrix_order, lapack_int n, lapack_int kl,
lapack_int ku, lapack_int nrhs, float* ab,
lapack_int ldab, lapack_int* ipiv, float* b,
lapack_int ldb );
lapack_int LAPACKE_dgbsv( int matrix_order, lapack_int n, lapack_int kl,
lapack_int ku, lapack_int nrhs, double* ab,
lapack_int ldab, lapack_int* ipiv, double* b,
lapack_int ldb );
lapack_int LAPACKE_cgbsv( int matrix_order, lapack_int n, lapack_int kl,
lapack_int ku, lapack_int nrhs,
lapack_complex_float* ab, lapack_int ldab,
lapack_int* ipiv, lapack_complex_float* b,
lapack_int ldb );
lapack_int LAPACKE_zgbsv( int matrix_order, lapack_int n, lapack_int kl,
lapack_int ku, lapack_int nrhs,
lapack_complex_double* ab, lapack_int ldab,
lapack_int* ipiv, lapack_complex_double* b,
lapack_int ldb );
lapack_int LAPACKE_sgbsvx( int matrix_order, char fact, char trans,
lapack_int n, lapack_int kl, lapack_int ku,
lapack_int nrhs, float* ab, lapack_int ldab,
float* afb, lapack_int ldafb, lapack_int* ipiv,
char* equed, float* r, float* c, float* b,
lapack_int ldb, float* x, lapack_int ldx,
float* rcond, float* ferr, float* berr,
float* rpivot );
lapack_int LAPACKE_dgbsvx( int matrix_order, char fact, char trans,
lapack_int n, lapack_int kl, lapack_int ku,
lapack_int nrhs, double* ab, lapack_int ldab,
double* afb, lapack_int ldafb, lapack_int* ipiv,
char* equed, double* r, double* c, double* b,
lapack_int ldb, double* x, lapack_int ldx,
double* rcond, double* ferr, double* berr,
double* rpivot );
lapack_int LAPACKE_cgbsvx( int matrix_order, char fact, char trans,
lapack_int n, lapack_int kl, lapack_int ku,
lapack_int nrhs, lapack_complex_float* ab,
lapack_int ldab, lapack_complex_float* afb,
lapack_int ldafb, lapack_int* ipiv, char* equed,
float* r, float* c, lapack_complex_float* b,
lapack_int ldb, lapack_complex_float* x,
lapack_int ldx, float* rcond, float* ferr,
float* berr, float* rpivot );
lapack_int LAPACKE_zgbsvx( int matrix_order, char fact, char trans,
lapack_int n, lapack_int kl, lapack_int ku,
lapack_int nrhs, lapack_complex_double* ab,
lapack_int ldab, lapack_complex_double* afb,
lapack_int ldafb, lapack_int* ipiv, char* equed,
double* r, double* c, lapack_complex_double* b,
lapack_int ldb, lapack_complex_double* x,
lapack_int ldx, double* rcond, double* ferr,
double* berr, double* rpivot );
lapack_int LAPACKE_sgbsvxx( int matrix_order, char fact, char trans,
lapack_int n, lapack_int kl, lapack_int ku,
lapack_int nrhs, float* ab, lapack_int ldab,
float* afb, lapack_int ldafb, lapack_int* ipiv,
char* equed, float* r, float* c, float* b,
lapack_int ldb, float* x, lapack_int ldx,
float* rcond, float* rpvgrw, float* berr,
lapack_int n_err_bnds, float* err_bnds_norm,
float* err_bnds_comp, lapack_int nparams,
float* params );
lapack_int LAPACKE_dgbsvxx( int matrix_order, char fact, char trans,
lapack_int n, lapack_int kl, lapack_int ku,
lapack_int nrhs, double* ab, lapack_int ldab,
double* afb, lapack_int ldafb, lapack_int* ipiv,
char* equed, double* r, double* c, double* b,
lapack_int ldb, double* x, lapack_int ldx,
double* rcond, double* rpvgrw, double* berr,
lapack_int n_err_bnds, double* err_bnds_norm,
double* err_bnds_comp, lapack_int nparams,
double* params );
lapack_int LAPACKE_cgbsvxx( int matrix_order, char fact, char trans,
lapack_int n, lapack_int kl, lapack_int ku,
lapack_int nrhs, lapack_complex_float* ab,
lapack_int ldab, lapack_complex_float* afb,
lapack_int ldafb, lapack_int* ipiv, char* equed,
float* r, float* c, lapack_complex_float* b,
lapack_int ldb, lapack_complex_float* x,
lapack_int ldx, float* rcond, float* rpvgrw,
float* berr, lapack_int n_err_bnds,
float* err_bnds_norm, float* err_bnds_comp,
lapack_int nparams, float* params );
lapack_int LAPACKE_zgbsvxx( int matrix_order, char fact, char trans,
lapack_int n, lapack_int kl, lapack_int ku,
lapack_int nrhs, lapack_complex_double* ab,
lapack_int ldab, lapack_complex_double* afb,
lapack_int ldafb, lapack_int* ipiv, char* equed,
double* r, double* c, lapack_complex_double* b,
lapack_int ldb, lapack_complex_double* x,
lapack_int ldx, double* rcond, double* rpvgrw,
double* berr, lapack_int n_err_bnds,
double* err_bnds_norm, double* err_bnds_comp,
lapack_int nparams, double* params );
lapack_int LAPACKE_sgbtrf( int matrix_order, lapack_int m, lapack_int n,
lapack_int kl, lapack_int ku, float* ab,
lapack_int ldab, lapack_int* ipiv );
lapack_int LAPACKE_dgbtrf( int matrix_order, lapack_int m, lapack_int n,
lapack_int kl, lapack_int ku, double* ab,
lapack_int ldab, lapack_int* ipiv );
lapack_int LAPACKE_cgbtrf( int matrix_order, lapack_int m, lapack_int n,
lapack_int kl, lapack_int ku,
lapack_complex_float* ab, lapack_int ldab,
lapack_int* ipiv );
lapack_int LAPACKE_zgbtrf( int matrix_order, lapack_int m, lapack_int n,
lapack_int kl, lapack_int ku,
lapack_complex_double* ab, lapack_int ldab,
lapack_int* ipiv );
lapack_int LAPACKE_sgbtrs( int matrix_order, char trans, lapack_int n,
lapack_int kl, lapack_int ku, lapack_int nrhs,
const float* ab, lapack_int ldab,
const lapack_int* ipiv, float* b, lapack_int ldb );
lapack_int LAPACKE_dgbtrs( int matrix_order, char trans, lapack_int n,
lapack_int kl, lapack_int ku, lapack_int nrhs,
const double* ab, lapack_int ldab,
const lapack_int* ipiv, double* b, lapack_int ldb );
lapack_int LAPACKE_cgbtrs( int matrix_order, char trans, lapack_int n,
lapack_int kl, lapack_int ku, lapack_int nrhs,
const lapack_complex_float* ab, lapack_int ldab,
const lapack_int* ipiv, lapack_complex_float* b,
lapack_int ldb );
lapack_int LAPACKE_zgbtrs( int matrix_order, char trans, lapack_int n,
lapack_int kl, lapack_int ku, lapack_int nrhs,
const lapack_complex_double* ab, lapack_int ldab,
const lapack_int* ipiv, lapack_complex_double* b,
lapack_int ldb );
lapack_int LAPACKE_sgebak( int matrix_order, char job, char side, lapack_int n,
lapack_int ilo, lapack_int ihi, const float* scale,
lapack_int m, float* v, lapack_int ldv );
lapack_int LAPACKE_dgebak( int matrix_order, char job, char side, lapack_int n,
lapack_int ilo, lapack_int ihi, const double* scale,
lapack_int m, double* v, lapack_int ldv );
lapack_int LAPACKE_cgebak( int matrix_order, char job, char side, lapack_int n,
lapack_int ilo, lapack_int ihi, const float* scale,
lapack_int m, lapack_complex_float* v,
lapack_int ldv );
lapack_int LAPACKE_zgebak( int matrix_order, char job, char side, lapack_int n,
lapack_int ilo, lapack_int ihi, const double* scale,
lapack_int m, lapack_complex_double* v,
lapack_int ldv );
lapack_int LAPACKE_sgebal( int matrix_order, char job, lapack_int n, float* a,
lapack_int lda, lapack_int* ilo, lapack_int* ihi,
float* scale );
lapack_int LAPACKE_dgebal( int matrix_order, char job, lapack_int n, double* a,
lapack_int lda, lapack_int* ilo, lapack_int* ihi,
double* scale );
lapack_int LAPACKE_cgebal( int matrix_order, char job, lapack_int n,
lapack_complex_float* a, lapack_int lda,
lapack_int* ilo, lapack_int* ihi, float* scale );
lapack_int LAPACKE_zgebal( int matrix_order, char job, lapack_int n,
lapack_complex_double* a, lapack_int lda,
lapack_int* ilo, lapack_int* ihi, double* scale );
lapack_int LAPACKE_sgebrd( int matrix_order, lapack_int m, lapack_int n,
float* a, lapack_int lda, float* d, float* e,
float* tauq, float* taup );
lapack_int LAPACKE_dgebrd( int matrix_order, lapack_int m, lapack_int n,
double* a, lapack_int lda, double* d, double* e,
double* tauq, double* taup );
lapack_int LAPACKE_cgebrd( int matrix_order, lapack_int m, lapack_int n,
lapack_complex_float* a, lapack_int lda, float* d,
float* e, lapack_complex_float* tauq,
lapack_complex_float* taup );
lapack_int LAPACKE_zgebrd( int matrix_order, lapack_int m, lapack_int n,
lapack_complex_double* a, lapack_int lda, double* d,
double* e, lapack_complex_double* tauq,
lapack_complex_double* taup );
lapack_int LAPACKE_sgecon( int matrix_order, char norm, lapack_int n,
const float* a, lapack_int lda, float anorm,
float* rcond );
lapack_int LAPACKE_dgecon( int matrix_order, char norm, lapack_int n,
const double* a, lapack_int lda, double anorm,
double* rcond );
lapack_int LAPACKE_cgecon( int matrix_order, char norm, lapack_int n,
const lapack_complex_float* a, lapack_int lda,
float anorm, float* rcond );
lapack_int LAPACKE_zgecon( int matrix_order, char norm, lapack_int n,
const lapack_complex_double* a, lapack_int lda,
double anorm, double* rcond );
lapack_int LAPACKE_sgeequ( int matrix_order, lapack_int m, lapack_int n,
const float* a, lapack_int lda, float* r, float* c,
float* rowcnd, float* colcnd, float* amax );
lapack_int LAPACKE_dgeequ( int matrix_order, lapack_int m, lapack_int n,
const double* a, lapack_int lda, double* r,
double* c, double* rowcnd, double* colcnd,
double* amax );
lapack_int LAPACKE_cgeequ( int matrix_order, lapack_int m, lapack_int n,
const lapack_complex_float* a, lapack_int lda,
float* r, float* c, float* rowcnd, float* colcnd,
float* amax );
lapack_int LAPACKE_zgeequ( int matrix_order, lapack_int m, lapack_int n,
const lapack_complex_double* a, lapack_int lda,
double* r, double* c, double* rowcnd, double* colcnd,
double* amax );
lapack_int LAPACKE_sgeequb( int matrix_order, lapack_int m, lapack_int n,
const float* a, lapack_int lda, float* r, float* c,
float* rowcnd, float* colcnd, float* amax );
lapack_int LAPACKE_dgeequb( int matrix_order, lapack_int m, lapack_int n,
const double* a, lapack_int lda, double* r,
double* c, double* rowcnd, double* colcnd,
double* amax );
lapack_int LAPACKE_cgeequb( int matrix_order, lapack_int m, lapack_int n,
const lapack_complex_float* a, lapack_int lda,
float* r, float* c, float* rowcnd, float* colcnd,
float* amax );
lapack_int LAPACKE_zgeequb( int matrix_order, lapack_int m, lapack_int n,
const lapack_complex_double* a, lapack_int lda,
double* r, double* c, double* rowcnd,
double* colcnd, double* amax );
lapack_int LAPACKE_sgees( int matrix_order, char jobvs, char sort,
LAPACK_S_SELECT2 select, lapack_int n, float* a,
lapack_int lda, lapack_int* sdim, float* wr,
float* wi, float* vs, lapack_int ldvs );
lapack_int LAPACKE_dgees( int matrix_order, char jobvs, char sort,
LAPACK_D_SELECT2 select, lapack_int n, double* a,
lapack_int lda, lapack_int* sdim, double* wr,
double* wi, double* vs, lapack_int ldvs );
lapack_int LAPACKE_cgees( int matrix_order, char jobvs, char sort,
LAPACK_C_SELECT1 select, lapack_int n,
lapack_complex_float* a, lapack_int lda,
lapack_int* sdim, lapack_complex_float* w,
lapack_complex_float* vs, lapack_int ldvs );
lapack_int LAPACKE_zgees( int matrix_order, char jobvs, char sort,
LAPACK_Z_SELECT1 select, lapack_int n,
lapack_complex_double* a, lapack_int lda,
lapack_int* sdim, lapack_complex_double* w,
lapack_complex_double* vs, lapack_int ldvs );
lapack_int LAPACKE_sgeesx( int matrix_order, char jobvs, char sort,
LAPACK_S_SELECT2 select, char sense, lapack_int n,
float* a, lapack_int lda, lapack_int* sdim,
float* wr, float* wi, float* vs, lapack_int ldvs,
float* rconde, float* rcondv );
lapack_int LAPACKE_dgeesx( int matrix_order, char jobvs, char sort,
LAPACK_D_SELECT2 select, char sense, lapack_int n,
double* a, lapack_int lda, lapack_int* sdim,
double* wr, double* wi, double* vs, lapack_int ldvs,
double* rconde, double* rcondv );
lapack_int LAPACKE_cgeesx( int matrix_order, char jobvs, char sort,
LAPACK_C_SELECT1 select, char sense, lapack_int n,
lapack_complex_float* a, lapack_int lda,
lapack_int* sdim, lapack_complex_float* w,
lapack_complex_float* vs, lapack_int ldvs,
float* rconde, float* rcondv );
lapack_int LAPACKE_zgeesx( int matrix_order, char jobvs, char sort,
LAPACK_Z_SELECT1 select, char sense, lapack_int n,
lapack_complex_double* a, lapack_int lda,
lapack_int* sdim, lapack_complex_double* w,
lapack_complex_double* vs, lapack_int ldvs,
double* rconde, double* rcondv );
lapack_int LAPACKE_sgeev( int matrix_order, char jobvl, char jobvr,
lapack_int n, float* a, lapack_int lda, float* wr,
float* wi, float* vl, lapack_int ldvl, float* vr,
lapack_int ldvr );
lapack_int LAPACKE_dgeev( int matrix_order, char jobvl, char jobvr,
lapack_int n, double* a, lapack_int lda, double* wr,
double* wi, double* vl, lapack_int ldvl, double* vr,
lapack_int ldvr );
lapack_int LAPACKE_cgeev( int matrix_order, char jobvl, char jobvr,
lapack_int n, lapack_complex_float* a, lapack_int lda,
lapack_complex_float* w, lapack_complex_float* vl,
lapack_int ldvl, lapack_complex_float* vr,
lapack_int ldvr );
lapack_int LAPACKE_zgeev( int matrix_order, char jobvl, char jobvr,
lapack_int n, lapack_complex_double* a,
lapack_int lda, lapack_complex_double* w,
lapack_complex_double* vl, lapack_int ldvl,
lapack_complex_double* vr, lapack_int ldvr );
lapack_int LAPACKE_sgeevx( int matrix_order, char balanc, char jobvl,
char jobvr, char sense, lapack_int n, float* a,
lapack_int lda, float* wr, float* wi, float* vl,
lapack_int ldvl, float* vr, lapack_int ldvr,
lapack_int* ilo, lapack_int* ihi, float* scale,
float* abnrm, float* rconde, float* rcondv );
lapack_int LAPACKE_dgeevx( int matrix_order, char balanc, char jobvl,
char jobvr, char sense, lapack_int n, double* a,
lapack_int lda, double* wr, double* wi, double* vl,
lapack_int ldvl, double* vr, lapack_int ldvr,
lapack_int* ilo, lapack_int* ihi, double* scale,
double* abnrm, double* rconde, double* rcondv );
lapack_int LAPACKE_cgeevx( int matrix_order, char balanc, char jobvl,
char jobvr, char sense, lapack_int n,
lapack_complex_float* a, lapack_int lda,
lapack_complex_float* w, lapack_complex_float* vl,
lapack_int ldvl, lapack_complex_float* vr,
lapack_int ldvr, lapack_int* ilo, lapack_int* ihi,
float* scale, float* abnrm, float* rconde,
float* rcondv );
lapack_int LAPACKE_zgeevx( int matrix_order, char balanc, char jobvl,
char jobvr, char sense, lapack_int n,
lapack_complex_double* a, lapack_int lda,
lapack_complex_double* w, lapack_complex_double* vl,
lapack_int ldvl, lapack_complex_double* vr,
lapack_int ldvr, lapack_int* ilo, lapack_int* ihi,
double* scale, double* abnrm, double* rconde,
double* rcondv );
lapack_int LAPACKE_sgehrd( int matrix_order, lapack_int n, lapack_int ilo,
lapack_int ihi, float* a, lapack_int lda,
float* tau );
lapack_int LAPACKE_dgehrd( int matrix_order, lapack_int n, lapack_int ilo,
lapack_int ihi, double* a, lapack_int lda,
double* tau );
lapack_int LAPACKE_cgehrd( int matrix_order, lapack_int n, lapack_int ilo,
lapack_int ihi, lapack_complex_float* a,
lapack_int lda, lapack_complex_float* tau );
lapack_int LAPACKE_zgehrd( int matrix_order, lapack_int n, lapack_int ilo,
lapack_int ihi, lapack_complex_double* a,
lapack_int lda, lapack_complex_double* tau );
lapack_int LAPACKE_sgejsv( int matrix_order, char joba, char jobu, char jobv,
char jobr, char jobt, char jobp, lapack_int m,
lapack_int n, float* a, lapack_int lda, float* sva,
float* u, lapack_int ldu, float* v, lapack_int ldv,
float* stat, lapack_int* istat );
lapack_int LAPACKE_dgejsv( int matrix_order, char joba, char jobu, char jobv,
char jobr, char jobt, char jobp, lapack_int m,
lapack_int n, double* a, lapack_int lda, double* sva,
double* u, lapack_int ldu, double* v, lapack_int ldv,
double* stat, lapack_int* istat );
lapack_int LAPACKE_sgelq2( int matrix_order, lapack_int m, lapack_int n,
float* a, lapack_int lda, float* tau );
lapack_int LAPACKE_dgelq2( int matrix_order, lapack_int m, lapack_int n,
double* a, lapack_int lda, double* tau );
lapack_int LAPACKE_cgelq2( int matrix_order, lapack_int m, lapack_int n,
lapack_complex_float* a, lapack_int lda,
lapack_complex_float* tau );
lapack_int LAPACKE_zgelq2( int matrix_order, lapack_int m, lapack_int n,
lapack_complex_double* a, lapack_int lda,
lapack_complex_double* tau );
lapack_int LAPACKE_sgelqf( int matrix_order, lapack_int m, lapack_int n,
float* a, lapack_int lda, float* tau );
lapack_int LAPACKE_dgelqf( int matrix_order, lapack_int m, lapack_int n,
double* a, lapack_int lda, double* tau );
lapack_int LAPACKE_cgelqf( int matrix_order, lapack_int m, lapack_int n,
lapack_complex_float* a, lapack_int lda,
lapack_complex_float* tau );
lapack_int LAPACKE_zgelqf( int matrix_order, lapack_int m, lapack_int n,
lapack_complex_double* a, lapack_int lda,
lapack_complex_double* tau );
lapack_int LAPACKE_sgels( int matrix_order, char trans, lapack_int m,
lapack_int n, lapack_int nrhs, float* a,
lapack_int lda, float* b, lapack_int ldb );
lapack_int LAPACKE_dgels( int matrix_order, char trans, lapack_int m,
lapack_int n, lapack_int nrhs, double* a,
lapack_int lda, double* b, lapack_int ldb );
lapack_int LAPACKE_cgels( int matrix_order, char trans, lapack_int m,
lapack_int n, lapack_int nrhs,
lapack_complex_float* a, lapack_int lda,
lapack_complex_float* b, lapack_int ldb );
lapack_int LAPACKE_zgels( int matrix_order, char trans, lapack_int m,
lapack_int n, lapack_int nrhs,
lapack_complex_double* a, lapack_int lda,
lapack_complex_double* b, lapack_int ldb );
lapack_int LAPACKE_sgelsd( int matrix_order, lapack_int m, lapack_int n,
lapack_int nrhs, float* a, lapack_int lda, float* b,
lapack_int ldb, float* s, float rcond,
lapack_int* rank );
lapack_int LAPACKE_dgelsd( int matrix_order, lapack_int m, lapack_int n,
lapack_int nrhs, double* a, lapack_int lda,
double* b, lapack_int ldb, double* s, double rcond,
lapack_int* rank );
lapack_int LAPACKE_cgelsd( int matrix_order, lapack_int m, lapack_int n,
lapack_int nrhs, lapack_complex_float* a,
lapack_int lda, lapack_complex_float* b,
lapack_int ldb, float* s, float rcond,
lapack_int* rank );
lapack_int LAPACKE_zgelsd( int matrix_order, lapack_int m, lapack_int n,
lapack_int nrhs, lapack_complex_double* a,
lapack_int lda, lapack_complex_double* b,
lapack_int ldb, double* s, double rcond,
lapack_int* rank );
lapack_int LAPACKE_sgelss( int matrix_order, lapack_int m, lapack_int n,
lapack_int nrhs, float* a, lapack_int lda, float* b,
lapack_int ldb, float* s, float rcond,
lapack_int* rank );
lapack_int LAPACKE_dgelss( int matrix_order, lapack_int m, lapack_int n,
lapack_int nrhs, double* a, lapack_int lda,
double* b, lapack_int ldb, double* s, double rcond,
lapack_int* rank );
lapack_int LAPACKE_cgelss( int matrix_order, lapack_int m, lapack_int n,
lapack_int nrhs, lapack_complex_float* a,
lapack_int lda, lapack_complex_float* b,
lapack_int ldb, float* s, float rcond,
lapack_int* rank );
lapack_int LAPACKE_zgelss( int matrix_order, lapack_int m, lapack_int n,
lapack_int nrhs, lapack_complex_double* a,
lapack_int lda, lapack_complex_double* b,
lapack_int ldb, double* s, double rcond,
lapack_int* rank );
lapack_int LAPACKE_sgelsy( int matrix_order, lapack_int m, lapack_int n,
lapack_int nrhs, float* a, lapack_int lda, float* b,
lapack_int ldb, lapack_int* jpvt, float rcond,
lapack_int* rank );
lapack_int LAPACKE_dgelsy( int matrix_order, lapack_int m, lapack_int n,
lapack_int nrhs, double* a, lapack_int lda,
double* b, lapack_int ldb, lapack_int* jpvt,
double rcond, lapack_int* rank );
lapack_int LAPACKE_cgelsy( int matrix_order, lapack_int m, lapack_int n,
lapack_int nrhs, lapack_complex_float* a,
lapack_int lda, lapack_complex_float* b,
lapack_int ldb, lapack_int* jpvt, float rcond,
lapack_int* rank );
lapack_int LAPACKE_zgelsy( int matrix_order, lapack_int m, lapack_int n,
lapack_int nrhs, lapack_complex_double* a,
lapack_int lda, lapack_complex_double* b,
lapack_int ldb, lapack_int* jpvt, double rcond,
lapack_int* rank );
lapack_int LAPACKE_sgeqlf( int matrix_order, lapack_int m, lapack_int n,
float* a, lapack_int lda, float* tau );
lapack_int LAPACKE_dgeqlf( int matrix_order, lapack_int m, lapack_int n,
double* a, lapack_int lda, double* tau );
lapack_int LAPACKE_cgeqlf( int matrix_order, lapack_int m, lapack_int n,
lapack_complex_float* a, lapack_int lda,
lapack_complex_float* tau );
lapack_int LAPACKE_zgeqlf( int matrix_order, lapack_int m, lapack_int n,
lapack_complex_double* a, lapack_int lda,
lapack_complex_double* tau );
lapack_int LAPACKE_sgeqp3( int matrix_order, lapack_int m, lapack_int n,
float* a, lapack_int lda, lapack_int* jpvt,
float* tau );
lapack_int LAPACKE_dgeqp3( int matrix_order, lapack_int m, lapack_int n,
double* a, lapack_int lda, lapack_int* jpvt,
double* tau );
lapack_int LAPACKE_cgeqp3( int matrix_order, lapack_int m, lapack_int n,
lapack_complex_float* a, lapack_int lda,
lapack_int* jpvt, lapack_complex_float* tau );
lapack_int LAPACKE_zgeqp3( int matrix_order, lapack_int m, lapack_int n,
lapack_complex_double* a, lapack_int lda,
lapack_int* jpvt, lapack_complex_double* tau );
lapack_int LAPACKE_sgeqpf( int matrix_order, lapack_int m, lapack_int n,
float* a, lapack_int lda, lapack_int* jpvt,
float* tau );
lapack_int LAPACKE_dgeqpf( int matrix_order, lapack_int m, lapack_int n,
double* a, lapack_int lda, lapack_int* jpvt,
double* tau );
lapack_int LAPACKE_cgeqpf( int matrix_order, lapack_int m, lapack_int n,
lapack_complex_float* a, lapack_int lda,
lapack_int* jpvt, lapack_complex_float* tau );
lapack_int LAPACKE_zgeqpf( int matrix_order, lapack_int m, lapack_int n,
lapack_complex_double* a, lapack_int lda,
lapack_int* jpvt, lapack_complex_double* tau );
lapack_int LAPACKE_sgeqr2( int matrix_order, lapack_int m, lapack_int n,
float* a, lapack_int lda, float* tau );
lapack_int LAPACKE_dgeqr2( int matrix_order, lapack_int m, lapack_int n,
double* a, lapack_int lda, double* tau );
lapack_int LAPACKE_cgeqr2( int matrix_order, lapack_int m, lapack_int n,
lapack_complex_float* a, lapack_int lda,
lapack_complex_float* tau );
lapack_int LAPACKE_zgeqr2( int matrix_order, lapack_int m, lapack_int n,
lapack_complex_double* a, lapack_int lda,
lapack_complex_double* tau );
lapack_int LAPACKE_sgeqrf( int matrix_order, lapack_int m, lapack_int n,
float* a, lapack_int lda, float* tau );
lapack_int LAPACKE_dgeqrf( int matrix_order, lapack_int m, lapack_int n,
double* a, lapack_int lda, double* tau );
lapack_int LAPACKE_cgeqrf( int matrix_order, lapack_int m, lapack_int n,
lapack_complex_float* a, lapack_int lda,
lapack_complex_float* tau );
lapack_int LAPACKE_zgeqrf( int matrix_order, lapack_int m, lapack_int n,
lapack_complex_double* a, lapack_int lda,
lapack_complex_double* tau );
lapack_int LAPACKE_sgeqrfp( int matrix_order, lapack_int m, lapack_int n,
float* a, lapack_int lda, float* tau );
lapack_int LAPACKE_dgeqrfp( int matrix_order, lapack_int m, lapack_int n,
double* a, lapack_int lda, double* tau );
lapack_int LAPACKE_cgeqrfp( int matrix_order, lapack_int m, lapack_int n,
lapack_complex_float* a, lapack_int lda,
lapack_complex_float* tau );
lapack_int LAPACKE_zgeqrfp( int matrix_order, lapack_int m, lapack_int n,
lapack_complex_double* a, lapack_int lda,
lapack_complex_double* tau );
lapack_int LAPACKE_sgerfs( int matrix_order, char trans, lapack_int n,
lapack_int nrhs, const float* a, lapack_int lda,
const float* af, lapack_int ldaf,
const lapack_int* ipiv, const float* b,
lapack_int ldb, float* x, lapack_int ldx,
float* ferr, float* berr );
lapack_int LAPACKE_dgerfs( int matrix_order, char trans, lapack_int n,
lapack_int nrhs, const double* a, lapack_int lda,
const double* af, lapack_int ldaf,
const lapack_int* ipiv, const double* b,
lapack_int ldb, double* x, lapack_int ldx,
double* ferr, double* berr );
lapack_int LAPACKE_cgerfs( int matrix_order, char trans, lapack_int n,
lapack_int nrhs, const lapack_complex_float* a,
lapack_int lda, const lapack_complex_float* af,
lapack_int ldaf, const lapack_int* ipiv,
const lapack_complex_float* b, lapack_int ldb,
lapack_complex_float* x, lapack_int ldx, float* ferr,
float* berr );
lapack_int LAPACKE_zgerfs( int matrix_order, char trans, lapack_int n,
lapack_int nrhs, const lapack_complex_double* a,
lapack_int lda, const lapack_complex_double* af,
lapack_int ldaf, const lapack_int* ipiv,
const lapack_complex_double* b, lapack_int ldb,
lapack_complex_double* x, lapack_int ldx,
double* ferr, double* berr );
lapack_int LAPACKE_sgerfsx( int matrix_order, char trans, char equed,
lapack_int n, lapack_int nrhs, const float* a,
lapack_int lda, const float* af, lapack_int ldaf,
const lapack_int* ipiv, const float* r,
const float* c, const float* b, lapack_int ldb,
float* x, lapack_int ldx, float* rcond, float* berr,
lapack_int n_err_bnds, float* err_bnds_norm,
float* err_bnds_comp, lapack_int nparams,
float* params );
lapack_int LAPACKE_dgerfsx( int matrix_order, char trans, char equed,
lapack_int n, lapack_int nrhs, const double* a,
lapack_int lda, const double* af, lapack_int ldaf,
const lapack_int* ipiv, const double* r,
const double* c, const double* b, lapack_int ldb,
double* x, lapack_int ldx, double* rcond,
double* berr, lapack_int n_err_bnds,
double* err_bnds_norm, double* err_bnds_comp,
lapack_int nparams, double* params );
lapack_int LAPACKE_cgerfsx( int matrix_order, char trans, char equed,
lapack_int n, lapack_int nrhs,
const lapack_complex_float* a, lapack_int lda,
const lapack_complex_float* af, lapack_int ldaf,
const lapack_int* ipiv, const float* r,
const float* c, const lapack_complex_float* b,
lapack_int ldb, lapack_complex_float* x,
lapack_int ldx, float* rcond, float* berr,
lapack_int n_err_bnds, float* err_bnds_norm,
float* err_bnds_comp, lapack_int nparams,
float* params );
lapack_int LAPACKE_zgerfsx( int matrix_order, char trans, char equed,
lapack_int n, lapack_int nrhs,
const lapack_complex_double* a, lapack_int lda,
const lapack_complex_double* af, lapack_int ldaf,
const lapack_int* ipiv, const double* r,
const double* c, const lapack_complex_double* b,
lapack_int ldb, lapack_complex_double* x,
lapack_int ldx, double* rcond, double* berr,
lapack_int n_err_bnds, double* err_bnds_norm,
double* err_bnds_comp, lapack_int nparams,
double* params );
lapack_int LAPACKE_sgerqf( int matrix_order, lapack_int m, lapack_int n,
float* a, lapack_int lda, float* tau );
lapack_int LAPACKE_dgerqf( int matrix_order, lapack_int m, lapack_int n,
double* a, lapack_int lda, double* tau );
lapack_int LAPACKE_cgerqf( int matrix_order, lapack_int m, lapack_int n,
lapack_complex_float* a, lapack_int lda,
lapack_complex_float* tau );
lapack_int LAPACKE_zgerqf( int matrix_order, lapack_int m, lapack_int n,
lapack_complex_double* a, lapack_int lda,
lapack_complex_double* tau );
lapack_int LAPACKE_sgesdd( int matrix_order, char jobz, lapack_int m,
lapack_int n, float* a, lapack_int lda, float* s,
float* u, lapack_int ldu, float* vt,
lapack_int ldvt );
lapack_int LAPACKE_dgesdd( int matrix_order, char jobz, lapack_int m,
lapack_int n, double* a, lapack_int lda, double* s,
double* u, lapack_int ldu, double* vt,
lapack_int ldvt );
lapack_int LAPACKE_cgesdd( int matrix_order, char jobz, lapack_int m,
lapack_int n, lapack_complex_float* a,
lapack_int lda, float* s, lapack_complex_float* u,
lapack_int ldu, lapack_complex_float* vt,
lapack_int ldvt );
lapack_int LAPACKE_zgesdd( int matrix_order, char jobz, lapack_int m,
lapack_int n, lapack_complex_double* a,
lapack_int lda, double* s, lapack_complex_double* u,
lapack_int ldu, lapack_complex_double* vt,
lapack_int ldvt );
lapack_int LAPACKE_sgesv( int matrix_order, lapack_int n, lapack_int nrhs,
float* a, lapack_int lda, lapack_int* ipiv, float* b,
lapack_int ldb );
lapack_int LAPACKE_dgesv( int matrix_order, lapack_int n, lapack_int nrhs,
double* a, lapack_int lda, lapack_int* ipiv,
double* b, lapack_int ldb );
lapack_int LAPACKE_cgesv( int matrix_order, lapack_int n, lapack_int nrhs,
lapack_complex_float* a, lapack_int lda,
lapack_int* ipiv, lapack_complex_float* b,
lapack_int ldb );
lapack_int LAPACKE_zgesv( int matrix_order, lapack_int n, lapack_int nrhs,
lapack_complex_double* a, lapack_int lda,
lapack_int* ipiv, lapack_complex_double* b,
lapack_int ldb );
lapack_int LAPACKE_dsgesv( int matrix_order, lapack_int n, lapack_int nrhs,
double* a, lapack_int lda, lapack_int* ipiv,
double* b, lapack_int ldb, double* x, lapack_int ldx,
lapack_int* iter );
lapack_int LAPACKE_zcgesv( int matrix_order, lapack_int n, lapack_int nrhs,
lapack_complex_double* a, lapack_int lda,
lapack_int* ipiv, lapack_complex_double* b,
lapack_int ldb, lapack_complex_double* x,
lapack_int ldx, lapack_int* iter );
lapack_int LAPACKE_sgesvd( int matrix_order, char jobu, char jobvt,
lapack_int m, lapack_int n, float* a, lapack_int lda,
float* s, float* u, lapack_int ldu, float* vt,
lapack_int ldvt, float* superb );
lapack_int LAPACKE_dgesvd( int matrix_order, char jobu, char jobvt,
lapack_int m, lapack_int n, double* a,
lapack_int lda, double* s, double* u, lapack_int ldu,
double* vt, lapack_int ldvt, double* superb );
lapack_int LAPACKE_cgesvd( int matrix_order, char jobu, char jobvt,
lapack_int m, lapack_int n, lapack_complex_float* a,
lapack_int lda, float* s, lapack_complex_float* u,
lapack_int ldu, lapack_complex_float* vt,
lapack_int ldvt, float* superb );
lapack_int LAPACKE_zgesvd( int matrix_order, char jobu, char jobvt,
lapack_int m, lapack_int n, lapack_complex_double* a,
lapack_int lda, double* s, lapack_complex_double* u,
lapack_int ldu, lapack_complex_double* vt,
lapack_int ldvt, double* superb );
lapack_int LAPACKE_sgesvj( int matrix_order, char joba, char jobu, char jobv,
lapack_int m, lapack_int n, float* a, lapack_int lda,
float* sva, lapack_int mv, float* v, lapack_int ldv,
float* stat );
lapack_int LAPACKE_dgesvj( int matrix_order, char joba, char jobu, char jobv,
lapack_int m, lapack_int n, double* a,
lapack_int lda, double* sva, lapack_int mv,
double* v, lapack_int ldv, double* stat );
lapack_int LAPACKE_sgesvx( int matrix_order, char fact, char trans,
lapack_int n, lapack_int nrhs, float* a,
lapack_int lda, float* af, lapack_int ldaf,
lapack_int* ipiv, char* equed, float* r, float* c,
float* b, lapack_int ldb, float* x, lapack_int ldx,
float* rcond, float* ferr, float* berr,
float* rpivot );
lapack_int LAPACKE_dgesvx( int matrix_order, char fact, char trans,
lapack_int n, lapack_int nrhs, double* a,
lapack_int lda, double* af, lapack_int ldaf,
lapack_int* ipiv, char* equed, double* r, double* c,