LAPACK  3.7.1
LAPACK: Linear Algebra PACKage
lapacke.h
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28 ******************************************************************************
29 * Contents: Native C interface to LAPACK
30 * Author: Intel Corporation
31 * Generated August, 2015
32 *****************************************************************************/
33 
34 #ifndef _LAPACKE_H_
35 #define _LAPACKE_H_
36 
37 /*
38 * Turn on HAVE_LAPACK_CONFIG_H to redefine C-LAPACK datatypes
39 */
40 #ifdef HAVE_LAPACK_CONFIG_H
41 #include "lapacke_config.h"
42 #endif
43 
44 #include <stdlib.h>
45 
46 #ifndef lapack_int
47 #define lapack_int int
48 #endif
49 
50 #ifndef lapack_logical
51 #define lapack_logical lapack_int
52 #endif
53 
54 /* Complex types are structures equivalent to the
55 * Fortran complex types COMPLEX(4) and COMPLEX(8).
56 *
57 * One can also redefine the types with his own types
58 * for example by including in the code definitions like
59 *
60 * #define lapack_complex_float std::complex<float>
61 * #define lapack_complex_double std::complex<double>
62 *
63 * or define these types in the command line:
64 *
65 * -Dlapack_complex_float="std::complex<float>"
66 * -Dlapack_complex_double="std::complex<double>"
67 */
68 
69 #ifndef LAPACK_COMPLEX_CUSTOM
70 
71 /* Complex type (single precision) */
72 #ifndef lapack_complex_float
73 #include <complex.h>
74 #define lapack_complex_float float _Complex
75 #endif
76 
77 #ifndef lapack_complex_float_real
78 #define lapack_complex_float_real(z) (creal(z))
79 #endif
80 
81 #ifndef lapack_complex_float_imag
82 #define lapack_complex_float_imag(z) (cimag(z))
83 #endif
84 
86 
87 /* Complex type (double precision) */
88 #ifndef lapack_complex_double
89 #include <complex.h>
90 #define lapack_complex_double double _Complex
91 #endif
92 
93 #ifndef lapack_complex_double_real
94 #define lapack_complex_double_real(z) (creal(z))
95 #endif
96 
97 #ifndef lapack_complex_double_imag
98 #define lapack_complex_double_imag(z) (cimag(z))
99 #endif
100 
101 lapack_complex_double lapack_make_complex_double( double re, double im );
102 
103 #endif
104 
105 #ifdef __cplusplus
106 extern "C" {
107 #endif /* __cplusplus */
108 
109 #ifndef LAPACKE_malloc
110 #define LAPACKE_malloc( size ) malloc( size )
111 #endif
112 #ifndef LAPACKE_free
113 #define LAPACKE_free( p ) free( p )
114 #endif
115 
116 #define LAPACK_C2INT( x ) (lapack_int)(*((float*)&x ))
117 #define LAPACK_Z2INT( x ) (lapack_int)(*((double*)&x ))
118 
119 #define LAPACK_ROW_MAJOR 101
120 #define LAPACK_COL_MAJOR 102
121 
122 #define LAPACK_WORK_MEMORY_ERROR -1010
123 #define LAPACK_TRANSPOSE_MEMORY_ERROR -1011
124 
125 /* Callback logical functions of one, two, or three arguments are used
126 * to select eigenvalues to sort to the top left of the Schur form.
127 * The value is selected if function returns TRUE (non-zero). */
128 
129 typedef lapack_logical (*LAPACK_S_SELECT2) ( const float*, const float* );
131  ( const float*, const float*, const float* );
132 typedef lapack_logical (*LAPACK_D_SELECT2) ( const double*, const double* );
134  ( const double*, const double*, const double* );
135 
142 
143 #include "lapacke_mangling.h"
144 
145 #define LAPACK_lsame LAPACK_GLOBAL(lsame,LSAME)
146 lapack_logical LAPACK_lsame( char* ca, char* cb,
147  lapack_int lca, lapack_int lcb );
148 
149 /* C-LAPACK function prototypes */
150 
151 lapack_int LAPACKE_sbdsdc( int matrix_layout, char uplo, char compq,
152  lapack_int n, float* d, float* e, float* u,
153  lapack_int ldu, float* vt, lapack_int ldvt, float* q,
154  lapack_int* iq );
155 lapack_int LAPACKE_dbdsdc( int matrix_layout, char uplo, char compq,
156  lapack_int n, double* d, double* e, double* u,
157  lapack_int ldu, double* vt, lapack_int ldvt,
158  double* q, lapack_int* iq );
159 
160 lapack_int LAPACKE_sbdsqr( int matrix_layout, char uplo, lapack_int n,
161  lapack_int ncvt, lapack_int nru, lapack_int ncc,
162  float* d, float* e, float* vt, lapack_int ldvt,
163  float* u, lapack_int ldu, float* c, lapack_int ldc );
164 lapack_int LAPACKE_dbdsqr( int matrix_layout, char uplo, lapack_int n,
165  lapack_int ncvt, lapack_int nru, lapack_int ncc,
166  double* d, double* e, double* vt, lapack_int ldvt,
167  double* u, lapack_int ldu, double* c,
168  lapack_int ldc );
169 lapack_int LAPACKE_cbdsqr( int matrix_layout, char uplo, lapack_int n,
170  lapack_int ncvt, lapack_int nru, lapack_int ncc,
171  float* d, float* e, lapack_complex_float* vt,
174  lapack_int ldc );
175 lapack_int LAPACKE_zbdsqr( int matrix_layout, char uplo, lapack_int n,
176  lapack_int ncvt, lapack_int nru, lapack_int ncc,
177  double* d, double* e, lapack_complex_double* vt,
180  lapack_int ldc );
181 lapack_int LAPACKE_sbdsvdx( int matrix_layout, char uplo, char jobz, char range,
182  lapack_int n, float* d, float* e,
183  float vl, float vu,
184  lapack_int il, lapack_int iu, lapack_int* ns,
185  float* s, float* z, lapack_int ldz,
186  lapack_int* superb );
187 lapack_int LAPACKE_dbdsvdx( int matrix_layout, char uplo, char jobz, char range,
188  lapack_int n, double* d, double* e,
189  double vl, double vu,
190  lapack_int il, lapack_int iu, lapack_int* ns,
191  double* s, double* z, lapack_int ldz,
192  lapack_int* superb );
193 lapack_int LAPACKE_sdisna( char job, lapack_int m, lapack_int n, const float* d,
194  float* sep );
196  const double* d, double* sep );
197 
198 lapack_int LAPACKE_sgbbrd( int matrix_layout, char vect, lapack_int m,
199  lapack_int n, lapack_int ncc, lapack_int kl,
200  lapack_int ku, float* ab, lapack_int ldab, float* d,
201  float* e, float* q, lapack_int ldq, float* pt,
202  lapack_int ldpt, float* c, lapack_int ldc );
203 lapack_int LAPACKE_dgbbrd( int matrix_layout, char vect, lapack_int m,
204  lapack_int n, lapack_int ncc, lapack_int kl,
205  lapack_int ku, double* ab, lapack_int ldab,
206  double* d, double* e, double* q, lapack_int ldq,
207  double* pt, lapack_int ldpt, double* c,
208  lapack_int ldc );
209 lapack_int LAPACKE_cgbbrd( int matrix_layout, char vect, lapack_int m,
210  lapack_int n, lapack_int ncc, lapack_int kl,
212  lapack_int ldab, float* d, float* e,
216 lapack_int LAPACKE_zgbbrd( int matrix_layout, char vect, lapack_int m,
217  lapack_int n, lapack_int ncc, lapack_int kl,
219  lapack_int ldab, double* d, double* e,
223 
224 lapack_int LAPACKE_sgbcon( int matrix_layout, char norm, lapack_int n,
225  lapack_int kl, lapack_int ku, const float* ab,
226  lapack_int ldab, const lapack_int* ipiv, float anorm,
227  float* rcond );
228 lapack_int LAPACKE_dgbcon( int matrix_layout, char norm, lapack_int n,
229  lapack_int kl, lapack_int ku, const double* ab,
230  lapack_int ldab, const lapack_int* ipiv,
231  double anorm, double* rcond );
232 lapack_int LAPACKE_cgbcon( int matrix_layout, char norm, lapack_int n,
233  lapack_int kl, lapack_int ku,
234  const lapack_complex_float* ab, lapack_int ldab,
235  const lapack_int* ipiv, float anorm, float* rcond );
236 lapack_int LAPACKE_zgbcon( int matrix_layout, char norm, lapack_int n,
237  lapack_int kl, lapack_int ku,
238  const lapack_complex_double* ab, lapack_int ldab,
239  const lapack_int* ipiv, double anorm,
240  double* rcond );
241 
242 lapack_int LAPACKE_sgbequ( int matrix_layout, lapack_int m, lapack_int n,
243  lapack_int kl, lapack_int ku, const float* ab,
244  lapack_int ldab, float* r, float* c, float* rowcnd,
245  float* colcnd, float* amax );
246 lapack_int LAPACKE_dgbequ( int matrix_layout, lapack_int m, lapack_int n,
247  lapack_int kl, lapack_int ku, const double* ab,
248  lapack_int ldab, double* r, double* c,
249  double* rowcnd, double* colcnd, double* amax );
250 lapack_int LAPACKE_cgbequ( int matrix_layout, lapack_int m, lapack_int n,
251  lapack_int kl, lapack_int ku,
252  const lapack_complex_float* ab, lapack_int ldab,
253  float* r, float* c, float* rowcnd, float* colcnd,
254  float* amax );
255 lapack_int LAPACKE_zgbequ( int matrix_layout, lapack_int m, lapack_int n,
256  lapack_int kl, lapack_int ku,
257  const lapack_complex_double* ab, lapack_int ldab,
258  double* r, double* c, double* rowcnd, double* colcnd,
259  double* amax );
260 
261 lapack_int LAPACKE_sgbequb( int matrix_layout, lapack_int m, lapack_int n,
262  lapack_int kl, lapack_int ku, const float* ab,
263  lapack_int ldab, float* r, float* c, float* rowcnd,
264  float* colcnd, float* amax );
265 lapack_int LAPACKE_dgbequb( int matrix_layout, lapack_int m, lapack_int n,
266  lapack_int kl, lapack_int ku, const double* ab,
267  lapack_int ldab, double* r, double* c,
268  double* rowcnd, double* colcnd, double* amax );
269 lapack_int LAPACKE_cgbequb( int matrix_layout, lapack_int m, lapack_int n,
270  lapack_int kl, lapack_int ku,
271  const lapack_complex_float* ab, lapack_int ldab,
272  float* r, float* c, float* rowcnd, float* colcnd,
273  float* amax );
274 lapack_int LAPACKE_zgbequb( int matrix_layout, lapack_int m, lapack_int n,
275  lapack_int kl, lapack_int ku,
276  const lapack_complex_double* ab, lapack_int ldab,
277  double* r, double* c, double* rowcnd,
278  double* colcnd, double* amax );
279 
280 lapack_int LAPACKE_sgbrfs( int matrix_layout, char trans, lapack_int n,
281  lapack_int kl, lapack_int ku, lapack_int nrhs,
282  const float* ab, lapack_int ldab, const float* afb,
283  lapack_int ldafb, const lapack_int* ipiv,
284  const float* b, lapack_int ldb, float* x,
285  lapack_int ldx, float* ferr, float* berr );
286 lapack_int LAPACKE_dgbrfs( int matrix_layout, char trans, lapack_int n,
287  lapack_int kl, lapack_int ku, lapack_int nrhs,
288  const double* ab, lapack_int ldab, const double* afb,
289  lapack_int ldafb, const lapack_int* ipiv,
290  const double* b, lapack_int ldb, double* x,
291  lapack_int ldx, double* ferr, double* berr );
292 lapack_int LAPACKE_cgbrfs( int matrix_layout, char trans, lapack_int n,
293  lapack_int kl, lapack_int ku, lapack_int nrhs,
294  const lapack_complex_float* ab, lapack_int ldab,
295  const lapack_complex_float* afb, lapack_int ldafb,
296  const lapack_int* ipiv,
297  const lapack_complex_float* b, lapack_int ldb,
298  lapack_complex_float* x, lapack_int ldx, float* ferr,
299  float* berr );
300 lapack_int LAPACKE_zgbrfs( int matrix_layout, char trans, lapack_int n,
301  lapack_int kl, lapack_int ku, lapack_int nrhs,
302  const lapack_complex_double* ab, lapack_int ldab,
303  const lapack_complex_double* afb, lapack_int ldafb,
304  const lapack_int* ipiv,
305  const lapack_complex_double* b, lapack_int ldb,
307  double* ferr, double* berr );
308 
309 lapack_int LAPACKE_sgbrfsx( int matrix_layout, char trans, char equed,
310  lapack_int n, lapack_int kl, lapack_int ku,
311  lapack_int nrhs, const float* ab, lapack_int ldab,
312  const float* afb, lapack_int ldafb,
313  const lapack_int* ipiv, const float* r,
314  const float* c, const float* b, lapack_int ldb,
315  float* x, lapack_int ldx, float* rcond, float* berr,
316  lapack_int n_err_bnds, float* err_bnds_norm,
317  float* err_bnds_comp, lapack_int nparams,
318  float* params );
319 lapack_int LAPACKE_dgbrfsx( int matrix_layout, char trans, char equed,
320  lapack_int n, lapack_int kl, lapack_int ku,
321  lapack_int nrhs, const double* ab, lapack_int ldab,
322  const double* afb, lapack_int ldafb,
323  const lapack_int* ipiv, const double* r,
324  const double* c, const double* b, lapack_int ldb,
325  double* x, lapack_int ldx, double* rcond,
326  double* berr, lapack_int n_err_bnds,
327  double* err_bnds_norm, double* err_bnds_comp,
328  lapack_int nparams, double* params );
329 lapack_int LAPACKE_cgbrfsx( int matrix_layout, char trans, char equed,
330  lapack_int n, lapack_int kl, lapack_int ku,
331  lapack_int nrhs, const lapack_complex_float* ab,
332  lapack_int ldab, const lapack_complex_float* afb,
333  lapack_int ldafb, const lapack_int* ipiv,
334  const float* r, const float* c,
335  const lapack_complex_float* b, lapack_int ldb,
337  float* rcond, float* berr, lapack_int n_err_bnds,
338  float* err_bnds_norm, float* err_bnds_comp,
339  lapack_int nparams, float* params );
340 lapack_int LAPACKE_zgbrfsx( int matrix_layout, char trans, char equed,
341  lapack_int n, lapack_int kl, lapack_int ku,
342  lapack_int nrhs, const lapack_complex_double* ab,
343  lapack_int ldab, const lapack_complex_double* afb,
344  lapack_int ldafb, const lapack_int* ipiv,
345  const double* r, const double* c,
346  const lapack_complex_double* b, lapack_int ldb,
348  double* rcond, double* berr, lapack_int n_err_bnds,
349  double* err_bnds_norm, double* err_bnds_comp,
350  lapack_int nparams, double* params );
351 
352 lapack_int LAPACKE_sgbsv( int matrix_layout, lapack_int n, lapack_int kl,
353  lapack_int ku, lapack_int nrhs, float* ab,
354  lapack_int ldab, lapack_int* ipiv, float* b,
355  lapack_int ldb );
356 lapack_int LAPACKE_dgbsv( int matrix_layout, lapack_int n, lapack_int kl,
357  lapack_int ku, lapack_int nrhs, double* ab,
358  lapack_int ldab, lapack_int* ipiv, double* b,
359  lapack_int ldb );
360 lapack_int LAPACKE_cgbsv( int matrix_layout, lapack_int n, lapack_int kl,
361  lapack_int ku, lapack_int nrhs,
364  lapack_int ldb );
365 lapack_int LAPACKE_zgbsv( int matrix_layout, lapack_int n, lapack_int kl,
366  lapack_int ku, lapack_int nrhs,
369  lapack_int ldb );
370 
371 lapack_int LAPACKE_sgbsvx( int matrix_layout, char fact, char trans,
372  lapack_int n, lapack_int kl, lapack_int ku,
373  lapack_int nrhs, float* ab, lapack_int ldab,
374  float* afb, lapack_int ldafb, lapack_int* ipiv,
375  char* equed, float* r, float* c, float* b,
376  lapack_int ldb, float* x, lapack_int ldx,
377  float* rcond, float* ferr, float* berr,
378  float* rpivot );
379 lapack_int LAPACKE_dgbsvx( int matrix_layout, char fact, char trans,
380  lapack_int n, lapack_int kl, lapack_int ku,
381  lapack_int nrhs, double* ab, lapack_int ldab,
382  double* afb, lapack_int ldafb, lapack_int* ipiv,
383  char* equed, double* r, double* c, double* b,
384  lapack_int ldb, double* x, lapack_int ldx,
385  double* rcond, double* ferr, double* berr,
386  double* rpivot );
387 lapack_int LAPACKE_cgbsvx( int matrix_layout, char fact, char trans,
388  lapack_int n, lapack_int kl, lapack_int ku,
390  lapack_int ldab, lapack_complex_float* afb,
391  lapack_int ldafb, lapack_int* ipiv, char* equed,
392  float* r, float* c, lapack_complex_float* b,
394  lapack_int ldx, float* rcond, float* ferr,
395  float* berr, float* rpivot );
396 lapack_int LAPACKE_zgbsvx( int matrix_layout, char fact, char trans,
397  lapack_int n, lapack_int kl, lapack_int ku,
400  lapack_int ldafb, lapack_int* ipiv, char* equed,
401  double* r, double* c, lapack_complex_double* b,
403  lapack_int ldx, double* rcond, double* ferr,
404  double* berr, double* rpivot );
405 
406 lapack_int LAPACKE_sgbsvxx( int matrix_layout, char fact, char trans,
407  lapack_int n, lapack_int kl, lapack_int ku,
408  lapack_int nrhs, float* ab, lapack_int ldab,
409  float* afb, lapack_int ldafb, lapack_int* ipiv,
410  char* equed, float* r, float* c, float* b,
411  lapack_int ldb, float* x, lapack_int ldx,
412  float* rcond, float* rpvgrw, float* berr,
413  lapack_int n_err_bnds, float* err_bnds_norm,
414  float* err_bnds_comp, lapack_int nparams,
415  float* params );
416 lapack_int LAPACKE_dgbsvxx( int matrix_layout, char fact, char trans,
417  lapack_int n, lapack_int kl, lapack_int ku,
418  lapack_int nrhs, double* ab, lapack_int ldab,
419  double* afb, lapack_int ldafb, lapack_int* ipiv,
420  char* equed, double* r, double* c, double* b,
421  lapack_int ldb, double* x, lapack_int ldx,
422  double* rcond, double* rpvgrw, double* berr,
423  lapack_int n_err_bnds, double* err_bnds_norm,
424  double* err_bnds_comp, lapack_int nparams,
425  double* params );
426 lapack_int LAPACKE_cgbsvxx( int matrix_layout, char fact, char trans,
427  lapack_int n, lapack_int kl, lapack_int ku,
429  lapack_int ldab, lapack_complex_float* afb,
430  lapack_int ldafb, lapack_int* ipiv, char* equed,
431  float* r, float* c, lapack_complex_float* b,
433  lapack_int ldx, float* rcond, float* rpvgrw,
434  float* berr, lapack_int n_err_bnds,
435  float* err_bnds_norm, float* err_bnds_comp,
436  lapack_int nparams, float* params );
437 lapack_int LAPACKE_zgbsvxx( int matrix_layout, char fact, char trans,
438  lapack_int n, lapack_int kl, lapack_int ku,
441  lapack_int ldafb, lapack_int* ipiv, char* equed,
442  double* r, double* c, lapack_complex_double* b,
444  lapack_int ldx, double* rcond, double* rpvgrw,
445  double* berr, lapack_int n_err_bnds,
446  double* err_bnds_norm, double* err_bnds_comp,
447  lapack_int nparams, double* params );
448 
449 lapack_int LAPACKE_sgbtrf( int matrix_layout, lapack_int m, lapack_int n,
450  lapack_int kl, lapack_int ku, float* ab,
451  lapack_int ldab, lapack_int* ipiv );
452 lapack_int LAPACKE_dgbtrf( int matrix_layout, lapack_int m, lapack_int n,
453  lapack_int kl, lapack_int ku, double* ab,
454  lapack_int ldab, lapack_int* ipiv );
455 lapack_int LAPACKE_cgbtrf( int matrix_layout, lapack_int m, lapack_int n,
456  lapack_int kl, lapack_int ku,
458  lapack_int* ipiv );
459 lapack_int LAPACKE_zgbtrf( int matrix_layout, lapack_int m, lapack_int n,
460  lapack_int kl, lapack_int ku,
462  lapack_int* ipiv );
463 
464 lapack_int LAPACKE_sgbtrs( int matrix_layout, char trans, lapack_int n,
465  lapack_int kl, lapack_int ku, lapack_int nrhs,
466  const float* ab, lapack_int ldab,
467  const lapack_int* ipiv, float* b, lapack_int ldb );
468 lapack_int LAPACKE_dgbtrs( int matrix_layout, char trans, lapack_int n,
469  lapack_int kl, lapack_int ku, lapack_int nrhs,
470  const double* ab, lapack_int ldab,
471  const lapack_int* ipiv, double* b, lapack_int ldb );
472 lapack_int LAPACKE_cgbtrs( int matrix_layout, char trans, lapack_int n,
473  lapack_int kl, lapack_int ku, lapack_int nrhs,
474  const lapack_complex_float* ab, lapack_int ldab,
475  const lapack_int* ipiv, lapack_complex_float* b,
476  lapack_int ldb );
477 lapack_int LAPACKE_zgbtrs( int matrix_layout, char trans, lapack_int n,
478  lapack_int kl, lapack_int ku, lapack_int nrhs,
479  const lapack_complex_double* ab, lapack_int ldab,
480  const lapack_int* ipiv, lapack_complex_double* b,
481  lapack_int ldb );
482 
483 lapack_int LAPACKE_sgebak( int matrix_layout, char job, char side, lapack_int n,
484  lapack_int ilo, lapack_int ihi, const float* scale,
485  lapack_int m, float* v, lapack_int ldv );
486 lapack_int LAPACKE_dgebak( int matrix_layout, char job, char side, lapack_int n,
487  lapack_int ilo, lapack_int ihi, const double* scale,
488  lapack_int m, double* v, lapack_int ldv );
489 lapack_int LAPACKE_cgebak( int matrix_layout, char job, char side, lapack_int n,
490  lapack_int ilo, lapack_int ihi, const float* scale,
492  lapack_int ldv );
493 lapack_int LAPACKE_zgebak( int matrix_layout, char job, char side, lapack_int n,
494  lapack_int ilo, lapack_int ihi, const double* scale,
496  lapack_int ldv );
497 
498 lapack_int LAPACKE_sgebal( int matrix_layout, char job, lapack_int n, float* a,
499  lapack_int lda, lapack_int* ilo, lapack_int* ihi,
500  float* scale );
501 lapack_int LAPACKE_dgebal( int matrix_layout, char job, lapack_int n, double* a,
502  lapack_int lda, lapack_int* ilo, lapack_int* ihi,
503  double* scale );
504 lapack_int LAPACKE_cgebal( int matrix_layout, char job, lapack_int n,
506  lapack_int* ilo, lapack_int* ihi, float* scale );
507 lapack_int LAPACKE_zgebal( int matrix_layout, char job, lapack_int n,
509  lapack_int* ilo, lapack_int* ihi, double* scale );
510 
511 lapack_int LAPACKE_sgebrd( int matrix_layout, lapack_int m, lapack_int n,
512  float* a, lapack_int lda, float* d, float* e,
513  float* tauq, float* taup );
514 lapack_int LAPACKE_dgebrd( int matrix_layout, lapack_int m, lapack_int n,
515  double* a, lapack_int lda, double* d, double* e,
516  double* tauq, double* taup );
517 lapack_int LAPACKE_cgebrd( int matrix_layout, lapack_int m, lapack_int n,
518  lapack_complex_float* a, lapack_int lda, float* d,
519  float* e, lapack_complex_float* tauq,
520  lapack_complex_float* taup );
521 lapack_int LAPACKE_zgebrd( int matrix_layout, lapack_int m, lapack_int n,
522  lapack_complex_double* a, lapack_int lda, double* d,
523  double* e, lapack_complex_double* tauq,
524  lapack_complex_double* taup );
525 
526 lapack_int LAPACKE_sgecon( int matrix_layout, char norm, lapack_int n,
527  const float* a, lapack_int lda, float anorm,
528  float* rcond );
529 lapack_int LAPACKE_dgecon( int matrix_layout, char norm, lapack_int n,
530  const double* a, lapack_int lda, double anorm,
531  double* rcond );
532 lapack_int LAPACKE_cgecon( int matrix_layout, char norm, lapack_int n,
533  const lapack_complex_float* a, lapack_int lda,
534  float anorm, float* rcond );
535 lapack_int LAPACKE_zgecon( int matrix_layout, char norm, lapack_int n,
536  const lapack_complex_double* a, lapack_int lda,
537  double anorm, double* rcond );
538 
539 lapack_int LAPACKE_sgeequ( int matrix_layout, lapack_int m, lapack_int n,
540  const float* a, lapack_int lda, float* r, float* c,
541  float* rowcnd, float* colcnd, float* amax );
542 lapack_int LAPACKE_dgeequ( int matrix_layout, lapack_int m, lapack_int n,
543  const double* a, lapack_int lda, double* r,
544  double* c, double* rowcnd, double* colcnd,
545  double* amax );
546 lapack_int LAPACKE_cgeequ( int matrix_layout, lapack_int m, lapack_int n,
547  const lapack_complex_float* a, lapack_int lda,
548  float* r, float* c, float* rowcnd, float* colcnd,
549  float* amax );
550 lapack_int LAPACKE_zgeequ( int matrix_layout, lapack_int m, lapack_int n,
551  const lapack_complex_double* a, lapack_int lda,
552  double* r, double* c, double* rowcnd, double* colcnd,
553  double* amax );
554 
555 lapack_int LAPACKE_sgeequb( int matrix_layout, lapack_int m, lapack_int n,
556  const float* a, lapack_int lda, float* r, float* c,
557  float* rowcnd, float* colcnd, float* amax );
558 lapack_int LAPACKE_dgeequb( int matrix_layout, lapack_int m, lapack_int n,
559  const double* a, lapack_int lda, double* r,
560  double* c, double* rowcnd, double* colcnd,
561  double* amax );
562 lapack_int LAPACKE_cgeequb( int matrix_layout, lapack_int m, lapack_int n,
563  const lapack_complex_float* a, lapack_int lda,
564  float* r, float* c, float* rowcnd, float* colcnd,
565  float* amax );
566 lapack_int LAPACKE_zgeequb( int matrix_layout, lapack_int m, lapack_int n,
567  const lapack_complex_double* a, lapack_int lda,
568  double* r, double* c, double* rowcnd,
569  double* colcnd, double* amax );
570 
571 lapack_int LAPACKE_sgees( int matrix_layout, char jobvs, char sort,
572  LAPACK_S_SELECT2 select, lapack_int n, float* a,
573  lapack_int lda, lapack_int* sdim, float* wr,
574  float* wi, float* vs, lapack_int ldvs );
575 lapack_int LAPACKE_dgees( int matrix_layout, char jobvs, char sort,
576  LAPACK_D_SELECT2 select, lapack_int n, double* a,
577  lapack_int lda, lapack_int* sdim, double* wr,
578  double* wi, double* vs, lapack_int ldvs );
579 lapack_int LAPACKE_cgees( int matrix_layout, char jobvs, char sort,
580  LAPACK_C_SELECT1 select, lapack_int n,
583  lapack_complex_float* vs, lapack_int ldvs );
584 lapack_int LAPACKE_zgees( int matrix_layout, char jobvs, char sort,
585  LAPACK_Z_SELECT1 select, lapack_int n,
588  lapack_complex_double* vs, lapack_int ldvs );
589 
590 lapack_int LAPACKE_sgeesx( int matrix_layout, char jobvs, char sort,
591  LAPACK_S_SELECT2 select, char sense, lapack_int n,
592  float* a, lapack_int lda, lapack_int* sdim,
593  float* wr, float* wi, float* vs, lapack_int ldvs,
594  float* rconde, float* rcondv );
595 lapack_int LAPACKE_dgeesx( int matrix_layout, char jobvs, char sort,
596  LAPACK_D_SELECT2 select, char sense, lapack_int n,
597  double* a, lapack_int lda, lapack_int* sdim,
598  double* wr, double* wi, double* vs, lapack_int ldvs,
599  double* rconde, double* rcondv );
600 lapack_int LAPACKE_cgeesx( int matrix_layout, char jobvs, char sort,
601  LAPACK_C_SELECT1 select, char sense, lapack_int n,
605  float* rconde, float* rcondv );
606 lapack_int LAPACKE_zgeesx( int matrix_layout, char jobvs, char sort,
607  LAPACK_Z_SELECT1 select, char sense, lapack_int n,
611  double* rconde, double* rcondv );
612 
613 lapack_int LAPACKE_sgeev( int matrix_layout, char jobvl, char jobvr,
614  lapack_int n, float* a, lapack_int lda, float* wr,
615  float* wi, float* vl, lapack_int ldvl, float* vr,
616  lapack_int ldvr );
617 lapack_int LAPACKE_dgeev( int matrix_layout, char jobvl, char jobvr,
618  lapack_int n, double* a, lapack_int lda, double* wr,
619  double* wi, double* vl, lapack_int ldvl, double* vr,
620  lapack_int ldvr );
621 lapack_int LAPACKE_cgeev( int matrix_layout, char jobvl, char jobvr,
625  lapack_int ldvr );
626 lapack_int LAPACKE_zgeev( int matrix_layout, char jobvl, char jobvr,
630  lapack_complex_double* vr, lapack_int ldvr );
631 
632 lapack_int LAPACKE_sgeevx( int matrix_layout, char balanc, char jobvl,
633  char jobvr, char sense, lapack_int n, float* a,
634  lapack_int lda, float* wr, float* wi, float* vl,
635  lapack_int ldvl, float* vr, lapack_int ldvr,
636  lapack_int* ilo, lapack_int* ihi, float* scale,
637  float* abnrm, float* rconde, float* rcondv );
638 lapack_int LAPACKE_dgeevx( int matrix_layout, char balanc, char jobvl,
639  char jobvr, char sense, lapack_int n, double* a,
640  lapack_int lda, double* wr, double* wi, double* vl,
641  lapack_int ldvl, double* vr, lapack_int ldvr,
642  lapack_int* ilo, lapack_int* ihi, double* scale,
643  double* abnrm, double* rconde, double* rcondv );
644 lapack_int LAPACKE_cgeevx( int matrix_layout, char balanc, char jobvl,
645  char jobvr, char sense, lapack_int n,
649  lapack_int ldvr, lapack_int* ilo, lapack_int* ihi,
650  float* scale, float* abnrm, float* rconde,
651  float* rcondv );
652 lapack_int LAPACKE_zgeevx( int matrix_layout, char balanc, char jobvl,
653  char jobvr, char sense, lapack_int n,
657  lapack_int ldvr, lapack_int* ilo, lapack_int* ihi,
658  double* scale, double* abnrm, double* rconde,
659  double* rcondv );
660 
661 lapack_int LAPACKE_sgehrd( int matrix_layout, lapack_int n, lapack_int ilo,
662  lapack_int ihi, float* a, lapack_int lda,
663  float* tau );
664 lapack_int LAPACKE_dgehrd( int matrix_layout, lapack_int n, lapack_int ilo,
665  lapack_int ihi, double* a, lapack_int lda,
666  double* tau );
667 lapack_int LAPACKE_cgehrd( int matrix_layout, lapack_int n, lapack_int ilo,
669  lapack_int lda, lapack_complex_float* tau );
670 lapack_int LAPACKE_zgehrd( int matrix_layout, lapack_int n, lapack_int ilo,
672  lapack_int lda, lapack_complex_double* tau );
673 
674 lapack_int LAPACKE_sgejsv( int matrix_layout, char joba, char jobu, char jobv,
675  char jobr, char jobt, char jobp, lapack_int m,
676  lapack_int n, float* a, lapack_int lda, float* sva,
677  float* u, lapack_int ldu, float* v, lapack_int ldv,
678  float* stat, lapack_int* istat );
679 lapack_int LAPACKE_dgejsv( int matrix_layout, char joba, char jobu, char jobv,
680  char jobr, char jobt, char jobp, lapack_int m,
681  lapack_int n, double* a, lapack_int lda, double* sva,
682  double* u, lapack_int ldu, double* v, lapack_int ldv,
683  double* stat, lapack_int* istat );
684 lapack_int LAPACKE_cgejsv( int matrix_layout, char joba, char jobu, char jobv,
685  char jobr, char jobt, char jobp, lapack_int m,
686  lapack_int n, lapack_complex_float* a, lapack_int lda, float* sva,
688  float* stat, lapack_int* istat );
689 lapack_int LAPACKE_zgejsv( int matrix_layout, char joba, char jobu, char jobv,
690  char jobr, char jobt, char jobp, lapack_int m,
691  lapack_int n, lapack_complex_double* a, lapack_int lda, double* sva,
693  double* stat, lapack_int* istat );
694 
695 lapack_int LAPACKE_sgelq2( int matrix_layout, lapack_int m, lapack_int n,
696  float* a, lapack_int lda, float* tau );
697 lapack_int LAPACKE_dgelq2( int matrix_layout, lapack_int m, lapack_int n,
698  double* a, lapack_int lda, double* tau );
699 lapack_int LAPACKE_cgelq2( int matrix_layout, lapack_int m, lapack_int n,
701  lapack_complex_float* tau );
702 lapack_int LAPACKE_zgelq2( int matrix_layout, lapack_int m, lapack_int n,
704  lapack_complex_double* tau );
705 
706 lapack_int LAPACKE_sgelqf( int matrix_layout, lapack_int m, lapack_int n,
707  float* a, lapack_int lda, float* tau );
708 lapack_int LAPACKE_dgelqf( int matrix_layout, lapack_int m, lapack_int n,
709  double* a, lapack_int lda, double* tau );
710 lapack_int LAPACKE_cgelqf( int matrix_layout, lapack_int m, lapack_int n,
712  lapack_complex_float* tau );
713 lapack_int LAPACKE_zgelqf( int matrix_layout, lapack_int m, lapack_int n,
715  lapack_complex_double* tau );
716 
717 lapack_int LAPACKE_sgels( int matrix_layout, char trans, lapack_int m,
718  lapack_int n, lapack_int nrhs, float* a,
719  lapack_int lda, float* b, lapack_int ldb );
720 lapack_int LAPACKE_dgels( int matrix_layout, char trans, lapack_int m,
721  lapack_int n, lapack_int nrhs, double* a,
722  lapack_int lda, double* b, lapack_int ldb );
723 lapack_int LAPACKE_cgels( int matrix_layout, char trans, lapack_int m,
724  lapack_int n, lapack_int nrhs,
727 lapack_int LAPACKE_zgels( int matrix_layout, char trans, lapack_int m,
728  lapack_int n, lapack_int nrhs,
731 
732 lapack_int LAPACKE_sgelsd( int matrix_layout, lapack_int m, lapack_int n,
733  lapack_int nrhs, float* a, lapack_int lda, float* b,
734  lapack_int ldb, float* s, float rcond,
735  lapack_int* rank );
736 lapack_int LAPACKE_dgelsd( int matrix_layout, lapack_int m, lapack_int n,
737  lapack_int nrhs, double* a, lapack_int lda,
738  double* b, lapack_int ldb, double* s, double rcond,
739  lapack_int* rank );
740 lapack_int LAPACKE_cgelsd( int matrix_layout, lapack_int m, lapack_int n,
743  lapack_int ldb, float* s, float rcond,
744  lapack_int* rank );
745 lapack_int LAPACKE_zgelsd( int matrix_layout, lapack_int m, lapack_int n,
748  lapack_int ldb, double* s, double rcond,
749  lapack_int* rank );
750 
751 lapack_int LAPACKE_sgelss( int matrix_layout, lapack_int m, lapack_int n,
752  lapack_int nrhs, float* a, lapack_int lda, float* b,
753  lapack_int ldb, float* s, float rcond,
754  lapack_int* rank );
755 lapack_int LAPACKE_dgelss( int matrix_layout, lapack_int m, lapack_int n,
756  lapack_int nrhs, double* a, lapack_int lda,
757  double* b, lapack_int ldb, double* s, double rcond,
758  lapack_int* rank );
759 lapack_int LAPACKE_cgelss( int matrix_layout, lapack_int m, lapack_int n,
762  lapack_int ldb, float* s, float rcond,
763  lapack_int* rank );
764 lapack_int LAPACKE_zgelss( int matrix_layout, lapack_int m, lapack_int n,
767  lapack_int ldb, double* s, double rcond,
768  lapack_int* rank );
769 
770 lapack_int LAPACKE_sgelsy( int matrix_layout, lapack_int m, lapack_int n,
771  lapack_int nrhs, float* a, lapack_int lda, float* b,
772  lapack_int ldb, lapack_int* jpvt, float rcond,
773  lapack_int* rank );
774 lapack_int LAPACKE_dgelsy( int matrix_layout, lapack_int m, lapack_int n,
775  lapack_int nrhs, double* a, lapack_int lda,
776  double* b, lapack_int ldb, lapack_int* jpvt,
777  double rcond, lapack_int* rank );
778 lapack_int LAPACKE_cgelsy( int matrix_layout, lapack_int m, lapack_int n,
781  lapack_int ldb, lapack_int* jpvt, float rcond,
782  lapack_int* rank );
783 lapack_int LAPACKE_zgelsy( int matrix_layout, lapack_int m, lapack_int n,
786  lapack_int ldb, lapack_int* jpvt, double rcond,
787  lapack_int* rank );
788 
789 lapack_int LAPACKE_sgeqlf( int matrix_layout, lapack_int m, lapack_int n,
790  float* a, lapack_int lda, float* tau );
791 lapack_int LAPACKE_dgeqlf( int matrix_layout, lapack_int m, lapack_int n,
792  double* a, lapack_int lda, double* tau );
793 lapack_int LAPACKE_cgeqlf( int matrix_layout, lapack_int m, lapack_int n,
795  lapack_complex_float* tau );
796 lapack_int LAPACKE_zgeqlf( int matrix_layout, lapack_int m, lapack_int n,
798  lapack_complex_double* tau );
799 
800 lapack_int LAPACKE_sgeqp3( int matrix_layout, lapack_int m, lapack_int n,
801  float* a, lapack_int lda, lapack_int* jpvt,
802  float* tau );
803 lapack_int LAPACKE_dgeqp3( int matrix_layout, lapack_int m, lapack_int n,
804  double* a, lapack_int lda, lapack_int* jpvt,
805  double* tau );
806 lapack_int LAPACKE_cgeqp3( int matrix_layout, lapack_int m, lapack_int n,
808  lapack_int* jpvt, lapack_complex_float* tau );
809 lapack_int LAPACKE_zgeqp3( int matrix_layout, lapack_int m, lapack_int n,
811  lapack_int* jpvt, lapack_complex_double* tau );
812 
813 lapack_int LAPACKE_sgeqpf( int matrix_layout, lapack_int m, lapack_int n,
814  float* a, lapack_int lda, lapack_int* jpvt,
815  float* tau );
816 lapack_int LAPACKE_dgeqpf( int matrix_layout, lapack_int m, lapack_int n,
817  double* a, lapack_int lda, lapack_int* jpvt,
818  double* tau );
819 lapack_int LAPACKE_cgeqpf( int matrix_layout, lapack_int m, lapack_int n,
821  lapack_int* jpvt, lapack_complex_float* tau );
822 lapack_int LAPACKE_zgeqpf( int matrix_layout, lapack_int m, lapack_int n,
824  lapack_int* jpvt, lapack_complex_double* tau );
825 
826 lapack_int LAPACKE_sgeqr2( int matrix_layout, lapack_int m, lapack_int n,
827  float* a, lapack_int lda, float* tau );
828 lapack_int LAPACKE_dgeqr2( int matrix_layout, lapack_int m, lapack_int n,
829  double* a, lapack_int lda, double* tau );
830 lapack_int LAPACKE_cgeqr2( int matrix_layout, lapack_int m, lapack_int n,
832  lapack_complex_float* tau );
833 lapack_int LAPACKE_zgeqr2( int matrix_layout, lapack_int m, lapack_int n,
835  lapack_complex_double* tau );
836 
837 lapack_int LAPACKE_sgeqrf( int matrix_layout, lapack_int m, lapack_int n,
838  float* a, lapack_int lda, float* tau );
839 lapack_int LAPACKE_dgeqrf( int matrix_layout, lapack_int m, lapack_int n,
840  double* a, lapack_int lda, double* tau );
841 lapack_int LAPACKE_cgeqrf( int matrix_layout, lapack_int m, lapack_int n,
843  lapack_complex_float* tau );
844 lapack_int LAPACKE_zgeqrf( int matrix_layout, lapack_int m, lapack_int n,
846  lapack_complex_double* tau );
847 
848 lapack_int LAPACKE_sgeqrfp( int matrix_layout, lapack_int m, lapack_int n,
849  float* a, lapack_int lda, float* tau );
850 lapack_int LAPACKE_dgeqrfp( int matrix_layout, lapack_int m, lapack_int n,
851  double* a, lapack_int lda, double* tau );
852 lapack_int LAPACKE_cgeqrfp( int matrix_layout, lapack_int m, lapack_int n,
854  lapack_complex_float* tau );
855 lapack_int LAPACKE_zgeqrfp( int matrix_layout, lapack_int m, lapack_int n,
857  lapack_complex_double* tau );
858 
859 lapack_int LAPACKE_sgerfs( int matrix_layout, char trans, lapack_int n,
860  lapack_int nrhs, const float* a, lapack_int lda,
861  const float* af, lapack_int ldaf,
862  const lapack_int* ipiv, const float* b,
863  lapack_int ldb, float* x, lapack_int ldx,
864  float* ferr, float* berr );
865 lapack_int LAPACKE_dgerfs( int matrix_layout, char trans, lapack_int n,
866  lapack_int nrhs, const double* a, lapack_int lda,
867  const double* af, lapack_int ldaf,
868  const lapack_int* ipiv, const double* b,
869  lapack_int ldb, double* x, lapack_int ldx,
870  double* ferr, double* berr );
871 lapack_int LAPACKE_cgerfs( int matrix_layout, char trans, lapack_int n,
872  lapack_int nrhs, const lapack_complex_float* a,
873  lapack_int lda, const lapack_complex_float* af,
874  lapack_int ldaf, const lapack_int* ipiv,
875  const lapack_complex_float* b, lapack_int ldb,
876  lapack_complex_float* x, lapack_int ldx, float* ferr,
877  float* berr );
878 lapack_int LAPACKE_zgerfs( int matrix_layout, char trans, lapack_int n,
879  lapack_int nrhs, const lapack_complex_double* a,
880  lapack_int lda, const lapack_complex_double* af,
881  lapack_int ldaf, const lapack_int* ipiv,
882  const lapack_complex_double* b, lapack_int ldb,
884  double* ferr, double* berr );
885 
886 lapack_int LAPACKE_sgerfsx( int matrix_layout, char trans, char equed,
887  lapack_int n, lapack_int nrhs, const float* a,
888  lapack_int lda, const float* af, lapack_int ldaf,
889  const lapack_int* ipiv, const float* r,
890  const float* c, const float* b, lapack_int ldb,
891  float* x, lapack_int ldx, float* rcond, float* berr,
892  lapack_int n_err_bnds, float* err_bnds_norm,
893  float* err_bnds_comp, lapack_int nparams,
894  float* params );
895 lapack_int LAPACKE_dgerfsx( int matrix_layout, char trans, char equed,
896  lapack_int n, lapack_int nrhs, const double* a,
897  lapack_int lda, const double* af, lapack_int ldaf,
898  const lapack_int* ipiv, const double* r,
899  const double* c, const double* b, lapack_int ldb,
900  double* x, lapack_int ldx, double* rcond,
901  double* berr, lapack_int n_err_bnds,
902  double* err_bnds_norm, double* err_bnds_comp,
903  lapack_int nparams, double* params );
904 lapack_int LAPACKE_cgerfsx( int matrix_layout, char trans, char equed,
905  lapack_int n, lapack_int nrhs,
906  const lapack_complex_float* a, lapack_int lda,
907  const lapack_complex_float* af, lapack_int ldaf,
908  const lapack_int* ipiv, const float* r,
909  const float* c, const lapack_complex_float* b,
911  lapack_int ldx, float* rcond, float* berr,
912  lapack_int n_err_bnds, float* err_bnds_norm,
913  float* err_bnds_comp, lapack_int nparams,
914  float* params );
915 lapack_int LAPACKE_zgerfsx( int matrix_layout, char trans, char equed,
916  lapack_int n, lapack_int nrhs,
917  const lapack_complex_double* a, lapack_int lda,
918  const lapack_complex_double* af, lapack_int ldaf,
919  const lapack_int* ipiv, const double* r,
920  const double* c, const lapack_complex_double* b,
922  lapack_int ldx, double* rcond, double* berr,
923  lapack_int n_err_bnds, double* err_bnds_norm,
924  double* err_bnds_comp, lapack_int nparams,
925  double* params );
926 
927 lapack_int LAPACKE_sgerqf( int matrix_layout, lapack_int m, lapack_int n,
928  float* a, lapack_int lda, float* tau );
929 lapack_int LAPACKE_dgerqf( int matrix_layout, lapack_int m, lapack_int n,
930  double* a, lapack_int lda, double* tau );
931 lapack_int LAPACKE_cgerqf( int matrix_layout, lapack_int m, lapack_int n,
933  lapack_complex_float* tau );
934 lapack_int LAPACKE_zgerqf( int matrix_layout, lapack_int m, lapack_int n,
936  lapack_complex_double* tau );
937 
938 lapack_int LAPACKE_sgesdd( int matrix_layout, char jobz, lapack_int m,
939  lapack_int n, float* a, lapack_int lda, float* s,
940  float* u, lapack_int ldu, float* vt,
941  lapack_int ldvt );
942 lapack_int LAPACKE_dgesdd( int matrix_layout, char jobz, lapack_int m,
943  lapack_int n, double* a, lapack_int lda, double* s,
944  double* u, lapack_int ldu, double* vt,
945  lapack_int ldvt );
946 lapack_int LAPACKE_cgesdd( int matrix_layout, char jobz, lapack_int m,
948  lapack_int lda, float* s, lapack_complex_float* u,
950  lapack_int ldvt );
951 lapack_int LAPACKE_zgesdd( int matrix_layout, char jobz, lapack_int m,
953  lapack_int lda, double* s, lapack_complex_double* u,
955  lapack_int ldvt );
956 
957 lapack_int LAPACKE_sgesv( int matrix_layout, lapack_int n, lapack_int nrhs,
958  float* a, lapack_int lda, lapack_int* ipiv, float* b,
959  lapack_int ldb );
960 lapack_int LAPACKE_dgesv( int matrix_layout, lapack_int n, lapack_int nrhs,
961  double* a, lapack_int lda, lapack_int* ipiv,
962  double* b, lapack_int ldb );
963 lapack_int LAPACKE_cgesv( int matrix_layout, lapack_int n, lapack_int nrhs,
966  lapack_int ldb );
967 lapack_int LAPACKE_zgesv( int matrix_layout, lapack_int n, lapack_int nrhs,
970  lapack_int ldb );
971 lapack_int LAPACKE_dsgesv( int matrix_layout, lapack_int n, lapack_int nrhs,
972  double* a, lapack_int lda, lapack_int* ipiv,
973  double* b, lapack_int ldb, double* x, lapack_int ldx,
974  lapack_int* iter );
975 lapack_int LAPACKE_zcgesv( int matrix_layout, lapack_int n, lapack_int nrhs,
979  lapack_int ldx, lapack_int* iter );
980 
981 lapack_int LAPACKE_sgesvd( int matrix_layout, char jobu, char jobvt,
982  lapack_int m, lapack_int n, float* a, lapack_int lda,
983  float* s, float* u, lapack_int ldu, float* vt,
984  lapack_int ldvt, float* superb );
985 lapack_int LAPACKE_dgesvd( int matrix_layout, char jobu, char jobvt,
986  lapack_int m, lapack_int n, double* a,
987  lapack_int lda, double* s, double* u, lapack_int ldu,
988  double* vt, lapack_int ldvt, double* superb );
989 lapack_int LAPACKE_cgesvd( int matrix_layout, char jobu, char jobvt,
991  lapack_int lda, float* s, lapack_complex_float* u,
993  lapack_int ldvt, float* superb );
994 lapack_int LAPACKE_zgesvd( int matrix_layout, char jobu, char jobvt,
996  lapack_int lda, double* s, lapack_complex_double* u,
998  lapack_int ldvt, double* superb );
999 
1000 lapack_int LAPACKE_sgesvdx( int matrix_layout, char jobu, char jobvt, char range,
1001  lapack_int m, lapack_int n, float* a,
1002  lapack_int lda, float vl, float vu,
1003  lapack_int il, lapack_int iu, lapack_int* ns,
1004  float* s, float* u, lapack_int ldu,
1005  float* vt, lapack_int ldvt,
1006  lapack_int* superb );
1007 lapack_int LAPACKE_dgesvdx( int matrix_layout, char jobu, char jobvt, char range,
1008  lapack_int m, lapack_int n, double* a,
1009  lapack_int lda, double vl, double vu,
1010  lapack_int il, lapack_int iu, lapack_int* ns,
1011  double* s, double* u, lapack_int ldu,
1012  double* vt, lapack_int ldvt,
1013  lapack_int* superb );
1014 lapack_int LAPACKE_cgesvdx( int matrix_layout, char jobu, char jobvt, char range,
1016  lapack_int lda, float vl, float vu,
1017  lapack_int il, lapack_int iu, lapack_int* ns,
1018  float* s, lapack_complex_float* u, lapack_int ldu,
1019  lapack_complex_float* vt, lapack_int ldvt,
1020  lapack_int* superb );
1021 lapack_int LAPACKE_zgesvdx( int matrix_layout, char jobu, char jobvt, char range,
1023  lapack_int lda, double vl, double vu,
1024  lapack_int il, lapack_int iu, lapack_int* ns,
1025  double* s, lapack_complex_double* u, lapack_int ldu,
1027  lapack_int* superb );
1028 
1029 lapack_int LAPACKE_sgesvj( int matrix_layout, char joba, char jobu, char jobv,
1030  lapack_int m, lapack_int n, float* a, lapack_int lda,
1031  float* sva, lapack_int mv, float* v, lapack_int ldv,
1032  float* stat );
1033 lapack_int LAPACKE_dgesvj( int matrix_layout, char joba, char jobu, char jobv,
1034  lapack_int m, lapack_int n, double* a,
1035  lapack_int lda, double* sva, lapack_int mv,
1036  double* v, lapack_int ldv, double* stat );
1037 lapack_int LAPACKE_cgesvj( int matrix_layout, char joba, char jobu, char jobv,
1039  lapack_int lda, float* sva, lapack_int mv,
1040  lapack_complex_float* v, lapack_int ldv, float* stat );
1041 lapack_int LAPACKE_zgesvj( int matrix_layout, char joba, char jobu, char jobv,
1043  lapack_int lda, double* sva, lapack_int mv,
1044  lapack_complex_double* v, lapack_int ldv, double* stat );
1045 
1046 lapack_int LAPACKE_sgesvx( int matrix_layout, char fact, char trans,
1047  lapack_int n, lapack_int nrhs, float* a,
1048  lapack_int lda, float* af, lapack_int ldaf,
1049  lapack_int* ipiv, char* equed, float* r, float* c,
1050  float* b, lapack_int ldb, float* x, lapack_int ldx,
1051  float* rcond, float* ferr, float* berr,
1052  float* rpivot );
1053 lapack_int LAPACKE_dgesvx( int matrix_layout, char fact, char trans,
1054  lapack_int n, lapack_int nrhs, double* a,
1055  lapack_int lda, double* af, lapack_int ldaf,
1056  lapack_int* ipiv, char* equed, double* r, double* c,
1057  double* b, lapack_int ldb, double* x, lapack_int ldx,
1058  double* rcond, double* ferr, double* berr,
1059  double* rpivot );
1060 lapack_int LAPACKE_cgesvx( int matrix_layout, char fact, char trans,
1061  lapack_int n, lapack_int nrhs,
1063  lapack_complex_float* af, lapack_int ldaf,
1064  lapack_int* ipiv, char* equed, float* r, float* c,
1067  float* rcond, float* ferr, float* berr,
1068  float* rpivot );
1069 lapack_int LAPACKE_zgesvx( int matrix_layout, char fact, char trans,
1070  lapack_int n, lapack_int nrhs,
1073  lapack_int* ipiv, char* equed, double* r, double* c,
1076  double* rcond, double* ferr, double* berr,
1077  double* rpivot );
1078 
1079 lapack_int LAPACKE_sgesvxx( int matrix_layout, char fact, char trans,
1080  lapack_int n, lapack_int nrhs, float* a,
1081  lapack_int lda, float* af, lapack_int ldaf,
1082  lapack_int* ipiv, char* equed, float* r, float* c,
1083  float* b, lapack_int ldb, float* x, lapack_int ldx,
1084  float* rcond, float* rpvgrw, float* berr,
1085  lapack_int n_err_bnds, float* err_bnds_norm,
1086  float* err_bnds_comp, lapack_int nparams,
1087  float* params );
1088 lapack_int LAPACKE_dgesvxx( int matrix_layout, char fact, char trans,
1089  lapack_int n, lapack_int nrhs, double* a,
1090  lapack_int lda, double* af, lapack_int ldaf,
1091  lapack_int* ipiv, char* equed, double* r, double* c,
1092  double* b, lapack_int ldb, double* x,
1093  lapack_int ldx, double* rcond, double* rpvgrw,
1094  double* berr, lapack_int n_err_bnds,
1095  double* err_bnds_norm, double* err_bnds_comp,
1096  lapack_int nparams, double* params );
1097 lapack_int LAPACKE_cgesvxx( int matrix_layout, char fact, char trans,
1098  lapack_int n, lapack_int nrhs,
1100  lapack_complex_float* af, lapack_int ldaf,
1101  lapack_int* ipiv, char* equed, float* r, float* c,
1104  float* rcond, float* rpvgrw, float* berr,
1105  lapack_int n_err_bnds, float* err_bnds_norm,
1106  float* err_bnds_comp, lapack_int nparams,
1107  float* params );
1108 lapack_int LAPACKE_zgesvxx( int matrix_layout, char fact, char trans,
1109  lapack_int n, lapack_int nrhs,
1112  lapack_int* ipiv, char* equed, double* r, double* c,
1115  double* rcond, double* rpvgrw, double* berr,
1116  lapack_int n_err_bnds, double* err_bnds_norm,
1117  double* err_bnds_comp, lapack_int nparams,
1118  double* params );
1119 
1120 lapack_int LAPACKE_sgetf2( int matrix_layout, lapack_int m, lapack_int n,
1121  float* a, lapack_int lda, lapack_int* ipiv );
1122 lapack_int LAPACKE_dgetf2( int matrix_layout, lapack_int m, lapack_int n,
1123  double* a, lapack_int lda, lapack_int* ipiv );
1124 lapack_int LAPACKE_cgetf2( int matrix_layout, lapack_int m, lapack_int n,
1126  lapack_int* ipiv );
1127 lapack_int LAPACKE_zgetf2( int matrix_layout, lapack_int m, lapack_int n,
1129  lapack_int* ipiv );
1130 
1131 lapack_int LAPACKE_sgetrf( int matrix_layout, lapack_int m, lapack_int n,
1132  float* a, lapack_int lda, lapack_int* ipiv );
1133 lapack_int LAPACKE_dgetrf( int matrix_layout, lapack_int m, lapack_int n,
1134  double* a, lapack_int lda, lapack_int* ipiv );
1135 lapack_int LAPACKE_cgetrf( int matrix_layout, lapack_int m, lapack_int n,
1137  lapack_int* ipiv );
1138 lapack_int LAPACKE_zgetrf( int matrix_layout, lapack_int m, lapack_int n,
1140  lapack_int* ipiv );
1141 
1142 lapack_int LAPACKE_sgetrf2( int matrix_layout, lapack_int m, lapack_int n,
1143  float* a, lapack_int lda, lapack_int* ipiv );
1144 lapack_int LAPACKE_dgetrf2( int matrix_layout, lapack_int m, lapack_int n,
1145  double* a, lapack_int lda, lapack_int* ipiv );
1146 lapack_int LAPACKE_cgetrf2( int matrix_layout, lapack_int m, lapack_int n,
1148  lapack_int* ipiv );
1149 lapack_int LAPACKE_zgetrf2( int matrix_layout, lapack_int m, lapack_int n,
1151  lapack_int* ipiv );
1152 
1153 lapack_int LAPACKE_sgetri( int matrix_layout, lapack_int n, float* a,
1154  lapack_int lda, const lapack_int* ipiv );
1155 lapack_int LAPACKE_dgetri( int matrix_layout, lapack_int n, double* a,
1156  lapack_int lda, const lapack_int* ipiv );
1157 lapack_int LAPACKE_cgetri( int matrix_layout, lapack_int n,
1159  const lapack_int* ipiv );
1160 lapack_int LAPACKE_zgetri( int matrix_layout, lapack_int n,
1162  const lapack_int* ipiv );
1163 
1164 lapack_int LAPACKE_sgetrs( int matrix_layout, char trans, lapack_int n,
1165  lapack_int nrhs, const float* a, lapack_int lda,
1166  const lapack_int* ipiv, float* b, lapack_int ldb );
1167 lapack_int LAPACKE_dgetrs( int matrix_layout, char trans, lapack_int n,
1168  lapack_int nrhs, const double* a, lapack_int lda,
1169  const lapack_int* ipiv, double* b, lapack_int ldb );
1170 lapack_int LAPACKE_cgetrs( int matrix_layout, char trans, lapack_int n,
1171  lapack_int nrhs, const lapack_complex_float* a,
1172  lapack_int lda, const lapack_int* ipiv,
1173  lapack_complex_float* b, lapack_int ldb );
1174 lapack_int LAPACKE_zgetrs( int matrix_layout, char trans, lapack_int n,
1175  lapack_int nrhs, const lapack_complex_double* a,
1176  lapack_int lda, const lapack_int* ipiv,
1178 
1179 lapack_int LAPACKE_sggbak( int matrix_layout, char job, char side, lapack_int n,
1180  lapack_int ilo, lapack_int ihi, const float* lscale,
1181  const float* rscale, lapack_int m, float* v,
1182  lapack_int ldv );
1183 lapack_int LAPACKE_dggbak( int matrix_layout, char job, char side, lapack_int n,
1184  lapack_int ilo, lapack_int ihi, const double* lscale,
1185  const double* rscale, lapack_int m, double* v,
1186  lapack_int ldv );
1187 lapack_int LAPACKE_cggbak( int matrix_layout, char job, char side, lapack_int n,
1188  lapack_int ilo, lapack_int ihi, const float* lscale,
1189  const float* rscale, lapack_int m,
1190  lapack_complex_float* v, lapack_int ldv );
1191 lapack_int LAPACKE_zggbak( int matrix_layout, char job, char side, lapack_int n,
1192  lapack_int ilo, lapack_int ihi, const double* lscale,
1193  const double* rscale, lapack_int m,
1195 
1196 lapack_int LAPACKE_sggbal( int matrix_layout, char job, lapack_int n, float* a,
1197  lapack_int lda, float* b, lapack_int ldb,
1198  lapack_int* ilo, lapack_int* ihi, float* lscale,
1199  float* rscale );
1200 lapack_int LAPACKE_dggbal( int matrix_layout, char job, lapack_int n, double* a,
1201  lapack_int lda, double* b, lapack_int ldb,
1202  lapack_int* ilo, lapack_int* ihi, double* lscale,
1203  double* rscale );
1204 lapack_int LAPACKE_cggbal( int matrix_layout, char job, lapack_int n,
1207  lapack_int* ilo, lapack_int* ihi, float* lscale,
1208  float* rscale );
1209 lapack_int LAPACKE_zggbal( int matrix_layout, char job, lapack_int n,
1212  lapack_int* ilo, lapack_int* ihi, double* lscale,
1213  double* rscale );
1214 
1215 lapack_int LAPACKE_sgges( int matrix_layout, char jobvsl, char jobvsr, char sort,
1216  LAPACK_S_SELECT3 selctg, lapack_int n, float* a,
1217  lapack_int lda, float* b, lapack_int ldb,
1218  lapack_int* sdim, float* alphar, float* alphai,
1219  float* beta, float* vsl, lapack_int ldvsl, float* vsr,
1220  lapack_int ldvsr );
1221 lapack_int LAPACKE_dgges( int matrix_layout, char jobvsl, char jobvsr, char sort,
1222  LAPACK_D_SELECT3 selctg, lapack_int n, double* a,
1223  lapack_int lda, double* b, lapack_int ldb,
1224  lapack_int* sdim, double* alphar, double* alphai,
1225  double* beta, double* vsl, lapack_int ldvsl,
1226  double* vsr, lapack_int ldvsr );
1227 lapack_int LAPACKE_cgges( int matrix_layout, char jobvsl, char jobvsr, char sort,
1228  LAPACK_C_SELECT2 selctg, lapack_int n,
1231  lapack_int* sdim, lapack_complex_float* alpha,
1233  lapack_int ldvsl, lapack_complex_float* vsr,
1234  lapack_int ldvsr );
1235 lapack_int LAPACKE_zgges( int matrix_layout, char jobvsl, char jobvsr, char sort,
1236  LAPACK_Z_SELECT2 selctg, lapack_int n,
1239  lapack_int* sdim, lapack_complex_double* alpha,
1240  lapack_complex_double* beta,
1241  lapack_complex_double* vsl, lapack_int ldvsl,
1242  lapack_complex_double* vsr, lapack_int ldvsr );
1243 
1244 lapack_int LAPACKE_sgges3( int matrix_layout, char jobvsl, char jobvsr,
1245  char sort, LAPACK_S_SELECT3 selctg, lapack_int n,
1246  float* a, lapack_int lda, float* b, lapack_int ldb,
1247  lapack_int* sdim, float* alphar, float* alphai,
1248  float* beta, float* vsl, lapack_int ldvsl,
1249  float* vsr, lapack_int ldvsr );
1250 lapack_int LAPACKE_dgges3( int matrix_layout, char jobvsl, char jobvsr,
1251  char sort, LAPACK_D_SELECT3 selctg, lapack_int n,
1252  double* a, lapack_int lda, double* b, lapack_int ldb,
1253  lapack_int* sdim, double* alphar, double* alphai,
1254  double* beta, double* vsl, lapack_int ldvsl,
1255  double* vsr, lapack_int ldvsr );
1256 lapack_int LAPACKE_cgges3( int matrix_layout, char jobvsl, char jobvsr,
1257  char sort, LAPACK_C_SELECT2 selctg, lapack_int n,
1260  lapack_int* sdim, lapack_complex_float* alpha,
1261  lapack_complex_float* beta,
1262  lapack_complex_float* vsl, lapack_int ldvsl,
1263  lapack_complex_float* vsr, lapack_int ldvsr );
1264 lapack_int LAPACKE_zgges3( int matrix_layout, char jobvsl, char jobvsr,
1265  char sort, LAPACK_Z_SELECT2 selctg, lapack_int n,
1268  lapack_int* sdim, lapack_complex_double* alpha,
1269  lapack_complex_double* beta,
1270  lapack_complex_double* vsl, lapack_int ldvsl,
1271  lapack_complex_double* vsr, lapack_int ldvsr );
1272 
1273 lapack_int LAPACKE_sggesx( int matrix_layout, char jobvsl, char jobvsr,
1274  char sort, LAPACK_S_SELECT3 selctg, char sense,
1275  lapack_int n, float* a, lapack_int lda, float* b,
1276  lapack_int ldb, lapack_int* sdim, float* alphar,
1277  float* alphai, float* beta, float* vsl,
1278  lapack_int ldvsl, float* vsr, lapack_int ldvsr,
1279  float* rconde, float* rcondv );
1280 lapack_int LAPACKE_dggesx( int matrix_layout, char jobvsl, char jobvsr,
1281  char sort, LAPACK_D_SELECT3 selctg, char sense,
1282  lapack_int n, double* a, lapack_int lda, double* b,
1283  lapack_int ldb, lapack_int* sdim, double* alphar,
1284  double* alphai, double* beta, double* vsl,
1285  lapack_int ldvsl, double* vsr, lapack_int ldvsr,
1286  double* rconde, double* rcondv );
1287 lapack_int LAPACKE_cggesx( int matrix_layout, char jobvsl, char jobvsr,
1288  char sort, LAPACK_C_SELECT2 selctg, char sense,
1291  lapack_int ldb, lapack_int* sdim,
1292  lapack_complex_float* alpha,
1293  lapack_complex_float* beta,
1294  lapack_complex_float* vsl, lapack_int ldvsl,
1295  lapack_complex_float* vsr, lapack_int ldvsr,
1296  float* rconde, float* rcondv );
1297 lapack_int LAPACKE_zggesx( int matrix_layout, char jobvsl, char jobvsr,
1298  char sort, LAPACK_Z_SELECT2 selctg, char sense,
1301  lapack_int ldb, lapack_int* sdim,
1302  lapack_complex_double* alpha,
1303  lapack_complex_double* beta,
1304  lapack_complex_double* vsl, lapack_int ldvsl,
1305  lapack_complex_double* vsr, lapack_int ldvsr,
1306  double* rconde, double* rcondv );
1307 
1308 lapack_int LAPACKE_sggev( int matrix_layout, char jobvl, char jobvr,
1309  lapack_int n, float* a, lapack_int lda, float* b,
1310  lapack_int ldb, float* alphar, float* alphai,
1311  float* beta, float* vl, lapack_int ldvl, float* vr,
1312  lapack_int ldvr );
1313 lapack_int LAPACKE_dggev( int matrix_layout, char jobvl, char jobvr,
1314  lapack_int n, double* a, lapack_int lda, double* b,
1315  lapack_int ldb, double* alphar, double* alphai,
1316  double* beta, double* vl, lapack_int ldvl, double* vr,
1317  lapack_int ldvr );
1318 lapack_int LAPACKE_cggev( int matrix_layout, char jobvl, char jobvr,
1321  lapack_complex_float* alpha,
1323  lapack_int ldvl, lapack_complex_float* vr,
1324  lapack_int ldvr );
1325 lapack_int LAPACKE_zggev( int matrix_layout, char jobvl, char jobvr,
1328  lapack_int ldb, lapack_complex_double* alpha,
1329  lapack_complex_double* beta,
1331  lapack_complex_double* vr, lapack_int ldvr );
1332 
1333 lapack_int LAPACKE_sggev3( int matrix_layout, char jobvl, char jobvr,
1334  lapack_int n, float* a, lapack_int lda,
1335  float* b, lapack_int ldb,
1336  float* alphar, float* alphai, float* beta,
1337  float* vl, lapack_int ldvl,
1338  float* vr, lapack_int ldvr );
1339 lapack_int LAPACKE_dggev3( int matrix_layout, char jobvl, char jobvr,
1340  lapack_int n, double* a, lapack_int lda,
1341  double* b, lapack_int ldb,
1342  double* alphar, double* alphai, double* beta,
1343  double* vl, lapack_int ldvl,
1344  double* vr, lapack_int ldvr );
1345 lapack_int LAPACKE_cggev3( int matrix_layout, char jobvl, char jobvr,
1346  lapack_int n,
1349  lapack_complex_float* alpha,
1350  lapack_complex_float* beta,
1351  lapack_complex_float* vl, lapack_int ldvl,
1352  lapack_complex_float* vr, lapack_int ldvr );
1353 lapack_int LAPACKE_zggev3( int matrix_layout, char jobvl, char jobvr,
1354  lapack_int n,
1357  lapack_complex_double* alpha,
1358  lapack_complex_double* beta,
1360  lapack_complex_double* vr, lapack_int ldvr );
1361 
1362 lapack_int LAPACKE_sggevx( int matrix_layout, char balanc, char jobvl,
1363  char jobvr, char sense, lapack_int n, float* a,
1364  lapack_int lda, float* b, lapack_int ldb,
1365  float* alphar, float* alphai, float* beta, float* vl,
1366  lapack_int ldvl, float* vr, lapack_int ldvr,
1367  lapack_int* ilo, lapack_int* ihi, float* lscale,
1368  float* rscale, float* abnrm, float* bbnrm,
1369  float* rconde, float* rcondv );
1370 lapack_int LAPACKE_dggevx( int matrix_layout, char balanc, char jobvl,
1371  char jobvr, char sense, lapack_int n, double* a,
1372  lapack_int lda, double* b, lapack_int ldb,
1373  double* alphar, double* alphai, double* beta,
1374  double* vl, lapack_int ldvl, double* vr,
1375  lapack_int ldvr, lapack_int* ilo, lapack_int* ihi,
1376  double* lscale, double* rscale, double* abnrm,
1377  double* bbnrm, double* rconde, double* rcondv );
1378 lapack_int LAPACKE_cggevx( int matrix_layout, char balanc, char jobvl,
1379  char jobvr, char sense, lapack_int n,
1382  lapack_complex_float* alpha,
1384  lapack_int ldvl, lapack_complex_float* vr,
1385  lapack_int ldvr, lapack_int* ilo, lapack_int* ihi,
1386  float* lscale, float* rscale, float* abnrm,
1387  float* bbnrm, float* rconde, float* rcondv );
1388 lapack_int LAPACKE_zggevx( int matrix_layout, char balanc, char jobvl,
1389  char jobvr, char sense, lapack_int n,
1392  lapack_complex_double* alpha,
1393  lapack_complex_double* beta,
1396  lapack_int* ilo, lapack_int* ihi, double* lscale,
1397  double* rscale, double* abnrm, double* bbnrm,
1398  double* rconde, double* rcondv );
1399 
1400 lapack_int LAPACKE_sggglm( int matrix_layout, lapack_int n, lapack_int m,
1401  lapack_int p, float* a, lapack_int lda, float* b,
1402  lapack_int ldb, float* d, float* x, float* y );
1403 lapack_int LAPACKE_dggglm( int matrix_layout, lapack_int n, lapack_int m,
1404  lapack_int p, double* a, lapack_int lda, double* b,
1405  lapack_int ldb, double* d, double* x, double* y );
1406 lapack_int LAPACKE_cggglm( int matrix_layout, lapack_int n, lapack_int m,
1411 lapack_int LAPACKE_zggglm( int matrix_layout, lapack_int n, lapack_int m,
1416 
1417 lapack_int LAPACKE_sgghrd( int matrix_layout, char compq, char compz,
1418  lapack_int n, lapack_int ilo, lapack_int ihi,
1419  float* a, lapack_int lda, float* b, lapack_int ldb,
1420  float* q, lapack_int ldq, float* z, lapack_int ldz );
1421 lapack_int LAPACKE_dgghrd( int matrix_layout, char compq, char compz,
1422  lapack_int n, lapack_int ilo, lapack_int ihi,
1423  double* a, lapack_int lda, double* b, lapack_int ldb,
1424  double* q, lapack_int ldq, double* z,
1425  lapack_int ldz );
1426 lapack_int LAPACKE_cgghrd( int matrix_layout, char compq, char compz,
1427  lapack_int n, lapack_int ilo, lapack_int ihi,
1431  lapack_complex_float* z, lapack_int ldz );
1432 lapack_int LAPACKE_zgghrd( int matrix_layout, char compq, char compz,
1433  lapack_int n, lapack_int ilo, lapack_int ihi,
1438 
1439 lapack_int LAPACKE_sgghd3( int matrix_layout, char compq, char compz,
1440  lapack_int n, lapack_int ilo, lapack_int ihi,
1441  float* a, lapack_int lda, float* b, lapack_int ldb,
1442  float* q, lapack_int ldq, float* z, lapack_int ldz );
1443 lapack_int LAPACKE_dgghd3( int matrix_layout, char compq, char compz,
1444  lapack_int n, lapack_int ilo, lapack_int ihi,
1445  double* a, lapack_int lda, double* b, lapack_int ldb,
1446  double* q, lapack_int ldq, double* z,
1447  lapack_int ldz );
1448 lapack_int LAPACKE_cgghd3( int matrix_layout, char compq, char compz,
1449  lapack_int n, lapack_int ilo, lapack_int ihi,
1453  lapack_complex_float* z, lapack_int ldz );
1454 lapack_int LAPACKE_zgghd3( int matrix_layout, char compq, char compz,
1455  lapack_int n, lapack_int ilo, lapack_int ihi,
1460 
1461 lapack_int LAPACKE_sgglse( int matrix_layout, lapack_int m, lapack_int n,
1462  lapack_int p, float* a, lapack_int lda, float* b,
1463  lapack_int ldb, float* c, float* d, float* x );
1464 lapack_int LAPACKE_dgglse( int matrix_layout, lapack_int m, lapack_int n,
1465  lapack_int p, double* a, lapack_int lda, double* b,
1466  lapack_int ldb, double* c, double* d, double* x );
1467 lapack_int LAPACKE_cgglse( int matrix_layout, lapack_int m, lapack_int n,
1472 lapack_int LAPACKE_zgglse( int matrix_layout, lapack_int m, lapack_int n,
1477 
1478 lapack_int LAPACKE_sggqrf( int matrix_layout, lapack_int n, lapack_int m,
1479  lapack_int p, float* a, lapack_int lda, float* taua,
1480  float* b, lapack_int ldb, float* taub );
1481 lapack_int LAPACKE_dggqrf( int matrix_layout, lapack_int n, lapack_int m,
1482  lapack_int p, double* a, lapack_int lda,
1483  double* taua, double* b, lapack_int ldb,
1484  double* taub );
1485 lapack_int LAPACKE_cggqrf( int matrix_layout, lapack_int n, lapack_int m,
1487  lapack_int lda, lapack_complex_float* taua,
1489  lapack_complex_float* taub );
1490 lapack_int LAPACKE_zggqrf( int matrix_layout, lapack_int n, lapack_int m,
1492  lapack_int lda, lapack_complex_double* taua,
1494  lapack_complex_double* taub );
1495 
1496 lapack_int LAPACKE_sggrqf( int matrix_layout, lapack_int m, lapack_int p,
1497  lapack_int n, float* a, lapack_int lda, float* taua,
1498  float* b, lapack_int ldb, float* taub );
1499 lapack_int LAPACKE_dggrqf( int matrix_layout, lapack_int m, lapack_int p,
1500  lapack_int n, double* a, lapack_int lda,
1501  double* taua, double* b, lapack_int ldb,
1502  double* taub );
1503 lapack_int LAPACKE_cggrqf( int matrix_layout, lapack_int m, lapack_int p,
1505  lapack_int lda, lapack_complex_float* taua,
1507  lapack_complex_float* taub );
1508 lapack_int LAPACKE_zggrqf( int matrix_layout, lapack_int m, lapack_int p,
1510  lapack_int lda, lapack_complex_double* taua,
1512  lapack_complex_double* taub );
1513 
1514 lapack_int LAPACKE_sggsvd( int matrix_layout, char jobu, char jobv, char jobq,
1516  lapack_int* k, lapack_int* l, float* a,
1517  lapack_int lda, float* b, lapack_int ldb,
1518  float* alpha, float* beta, float* u, lapack_int ldu,
1519  float* v, lapack_int ldv, float* q, lapack_int ldq,
1520  lapack_int* iwork );
1521 lapack_int LAPACKE_dggsvd( int matrix_layout, char jobu, char jobv, char jobq,
1523  lapack_int* k, lapack_int* l, double* a,
1524  lapack_int lda, double* b, lapack_int ldb,
1525  double* alpha, double* beta, double* u,
1526  lapack_int ldu, double* v, lapack_int ldv, double* q,
1527  lapack_int ldq, lapack_int* iwork );
1528 lapack_int LAPACKE_cggsvd( int matrix_layout, char jobu, char jobv, char jobq,
1530  lapack_int* k, lapack_int* l,
1533  float* alpha, float* beta, lapack_complex_float* u,
1536  lapack_int ldq, lapack_int* iwork );
1537 lapack_int LAPACKE_zggsvd( int matrix_layout, char jobu, char jobv, char jobq,
1539  lapack_int* k, lapack_int* l,
1542  double* alpha, double* beta,
1546  lapack_int* iwork );
1547 
1548 lapack_int LAPACKE_sggsvd3( int matrix_layout, char jobu, char jobv, char jobq,
1550  lapack_int* k, lapack_int* l, float* a,
1551  lapack_int lda, float* b, lapack_int ldb,
1552  float* alpha, float* beta, float* u, lapack_int ldu,
1553  float* v, lapack_int ldv, float* q, lapack_int ldq,
1554  lapack_int* iwork );
1555 lapack_int LAPACKE_dggsvd3( int matrix_layout, char jobu, char jobv, char jobq,
1557  lapack_int* k, lapack_int* l, double* a,
1558  lapack_int lda, double* b, lapack_int ldb,
1559  double* alpha, double* beta, double* u,
1560  lapack_int ldu, double* v, lapack_int ldv, double* q,
1561  lapack_int ldq, lapack_int* iwork );
1562 lapack_int LAPACKE_cggsvd3( int matrix_layout, char jobu, char jobv, char jobq,
1564  lapack_int* k, lapack_int* l,
1567  float* alpha, float* beta, lapack_complex_float* u,
1570  lapack_int ldq, lapack_int* iwork );
1571 lapack_int LAPACKE_zggsvd3( int matrix_layout, char jobu, char jobv, char jobq,
1573  lapack_int* k, lapack_int* l,
1576  double* alpha, double* beta,
1580  lapack_int* iwork );
1581 
1582 lapack_int LAPACKE_sggsvp( int matrix_layout, char jobu, char jobv, char jobq,
1583  lapack_int m, lapack_int p, lapack_int n, float* a,
1584  lapack_int lda, float* b, lapack_int ldb, float tola,
1585  float tolb, lapack_int* k, lapack_int* l, float* u,
1586  lapack_int ldu, float* v, lapack_int ldv, float* q,
1587  lapack_int ldq );
1588 lapack_int LAPACKE_dggsvp( int matrix_layout, char jobu, char jobv, char jobq,
1589  lapack_int m, lapack_int p, lapack_int n, double* a,
1590  lapack_int lda, double* b, lapack_int ldb,
1591  double tola, double tolb, lapack_int* k,
1592  lapack_int* l, double* u, lapack_int ldu, double* v,
1593  lapack_int ldv, double* q, lapack_int ldq );
1594 lapack_int LAPACKE_cggsvp( int matrix_layout, char jobu, char jobv, char jobq,
1597  lapack_complex_float* b, lapack_int ldb, float tola,
1598  float tolb, lapack_int* k, lapack_int* l,
1601  lapack_complex_float* q, lapack_int ldq );
1602 lapack_int LAPACKE_zggsvp( int matrix_layout, char jobu, char jobv, char jobq,
1606  double tola, double tolb, lapack_int* k,
1610  lapack_int ldq );
1611 
1612 lapack_int LAPACKE_sggsvp3( int matrix_layout, char jobu, char jobv, char jobq,
1613  lapack_int m, lapack_int p, lapack_int n, float* a,
1614  lapack_int lda, float* b, lapack_int ldb, float tola,
1615  float tolb, lapack_int* k, lapack_int* l, float* u,
1616  lapack_int ldu, float* v, lapack_int ldv, float* q,
1617  lapack_int ldq );
1618 lapack_int LAPACKE_dggsvp3( int matrix_layout, char jobu, char jobv, char jobq,
1619  lapack_int m, lapack_int p, lapack_int n, double* a,
1620  lapack_int lda, double* b, lapack_int ldb,
1621  double tola, double tolb, lapack_int* k,
1622  lapack_int* l, double* u, lapack_int ldu, double* v,
1623  lapack_int ldv, double* q, lapack_int ldq );
1624 lapack_int LAPACKE_cggsvp3( int matrix_layout, char jobu, char jobv, char jobq,
1627  lapack_complex_float* b, lapack_int ldb, float tola,
1628  float tolb, lapack_int* k, lapack_int* l,
1631  lapack_complex_float* q, lapack_int ldq );
1632 lapack_int LAPACKE_zggsvp3( int matrix_layout, char jobu, char jobv, char jobq,
1636  double tola, double tolb, lapack_int* k,
1640  lapack_int ldq );
1641 
1642 lapack_int LAPACKE_sgtcon( char norm, lapack_int n, const float* dl,
1643  const float* d, const float* du, const float* du2,
1644  const lapack_int* ipiv, float anorm, float* rcond );
1645 lapack_int LAPACKE_dgtcon( char norm, lapack_int n, const double* dl,
1646  const double* d, const double* du, const double* du2,
1647  const lapack_int* ipiv, double anorm,
1648  double* rcond );
1649 lapack_int LAPACKE_cgtcon( char norm, lapack_int n,
1650  const lapack_complex_float* dl,
1651  const lapack_complex_float* d,
1652  const lapack_complex_float* du,
1653  const lapack_complex_float* du2,
1654  const lapack_int* ipiv, float anorm, float* rcond );
1655 lapack_int LAPACKE_zgtcon( char norm, lapack_int n,
1656  const lapack_complex_double* dl,
1657  const lapack_complex_double* d,
1658  const lapack_complex_double* du,
1659  const lapack_complex_double* du2,
1660  const lapack_int* ipiv, double anorm,
1661  double* rcond );
1662 
1663 lapack_int LAPACKE_sgtrfs( int matrix_layout, char trans, lapack_int n,
1664  lapack_int nrhs, const float* dl, const float* d,
1665  const float* du, const float* dlf, const float* df,
1666  const float* duf, const float* du2,
1667  const lapack_int* ipiv, const float* b,
1668  lapack_int ldb, float* x, lapack_int ldx,
1669  float* ferr, float* berr );
1670 lapack_int LAPACKE_dgtrfs( int matrix_layout, char trans, lapack_int n,
1671  lapack_int nrhs, const double* dl, const double* d,
1672  const double* du, const double* dlf,
1673  const double* df, const double* duf,
1674  const double* du2, const lapack_int* ipiv,
1675  const double* b, lapack_int ldb, double* x,
1676  lapack_int ldx, double* ferr, double* berr );
1677 lapack_int LAPACKE_cgtrfs( int matrix_layout, char trans, lapack_int n,
1678  lapack_int nrhs, const lapack_complex_float* dl,
1679  const lapack_complex_float* d,
1680  const lapack_complex_float* du,
1681  const lapack_complex_float* dlf,
1682  const lapack_complex_float* df,
1683  const lapack_complex_float* duf,
1684  const lapack_complex_float* du2,
1685  const lapack_int* ipiv,
1686  const lapack_complex_float* b, lapack_int ldb,
1687  lapack_complex_float* x, lapack_int ldx, float* ferr,
1688  float* berr );
1689 lapack_int LAPACKE_zgtrfs( int matrix_layout, char trans, lapack_int n,
1690  lapack_int nrhs, const lapack_complex_double* dl,
1691  const lapack_complex_double* d,
1692  const lapack_complex_double* du,
1693  const lapack_complex_double* dlf,
1694  const lapack_complex_double* df,
1695  const lapack_complex_double* duf,
1696  const lapack_complex_double* du2,
1697  const lapack_int* ipiv,
1698  const lapack_complex_double* b, lapack_int ldb,
1700  double* ferr, double* berr );
1701 
1702 lapack_int LAPACKE_sgtsv( int matrix_layout, lapack_int n, lapack_int nrhs,
1703  float* dl, float* d, float* du, float* b,
1704  lapack_int ldb );
1705 lapack_int LAPACKE_dgtsv( int matrix_layout, lapack_int n, lapack_int nrhs,
1706  double* dl, double* d, double* du, double* b,
1707  lapack_int ldb );
1708 lapack_int LAPACKE_cgtsv( int matrix_layout, lapack_int n, lapack_int nrhs,
1711  lapack_int ldb );
1712 lapack_int LAPACKE_zgtsv( int matrix_layout, lapack_int n, lapack_int nrhs,
1715  lapack_int ldb );
1716 
1717 lapack_int LAPACKE_sgtsvx( int matrix_layout, char fact, char trans,
1718  lapack_int n, lapack_int nrhs, const float* dl,
1719  const float* d, const float* du, float* dlf,
1720  float* df, float* duf, float* du2, lapack_int* ipiv,
1721  const float* b, lapack_int ldb, float* x,
1722  lapack_int ldx, float* rcond, float* ferr,
1723  float* berr );
1724 lapack_int LAPACKE_dgtsvx( int matrix_layout, char fact, char trans,
1725  lapack_int n, lapack_int nrhs, const double* dl,
1726  const double* d, const double* du, double* dlf,
1727  double* df, double* duf, double* du2,
1728  lapack_int* ipiv, const double* b, lapack_int ldb,
1729  double* x, lapack_int ldx, double* rcond,
1730  double* ferr, double* berr );
1731 lapack_int LAPACKE_cgtsvx( int matrix_layout, char fact, char trans,
1732  lapack_int n, lapack_int nrhs,
1733  const lapack_complex_float* dl,
1734  const lapack_complex_float* d,
1735  const lapack_complex_float* du,
1738  lapack_int* ipiv, const lapack_complex_float* b,
1740  lapack_int ldx, float* rcond, float* ferr,
1741  float* berr );
1742 lapack_int LAPACKE_zgtsvx( int matrix_layout, char fact, char trans,
1743  lapack_int n, lapack_int nrhs,
1744  const lapack_complex_double* dl,
1745  const lapack_complex_double* d,
1746  const lapack_complex_double* du,
1747  lapack_complex_double* dlf,
1749  lapack_complex_double* duf,
1750  lapack_complex_double* du2, lapack_int* ipiv,
1751  const lapack_complex_double* b, lapack_int ldb,
1753  double* rcond, double* ferr, double* berr );
1754 
1755 lapack_int LAPACKE_sgttrf( lapack_int n, float* dl, float* d, float* du,
1756  float* du2, lapack_int* ipiv );
1757 lapack_int LAPACKE_dgttrf( lapack_int n, double* dl, double* d, double* du,
1758  double* du2, lapack_int* ipiv );
1761  lapack_complex_float* du2, lapack_int* ipiv );
1764  lapack_complex_double* du2, lapack_int* ipiv );
1765 
1766 lapack_int LAPACKE_sgttrs( int matrix_layout, char trans, lapack_int n,
1767  lapack_int nrhs, const float* dl, const float* d,
1768  const float* du, const float* du2,
1769  const lapack_int* ipiv, float* b, lapack_int ldb );
1770 lapack_int LAPACKE_dgttrs( int matrix_layout, char trans, lapack_int n,
1771  lapack_int nrhs, const double* dl, const double* d,
1772  const double* du, const double* du2,
1773  const lapack_int* ipiv, double* b, lapack_int ldb );
1774 lapack_int LAPACKE_cgttrs( int matrix_layout, char trans, lapack_int n,
1775  lapack_int nrhs, const lapack_complex_float* dl,
1776  const lapack_complex_float* d,
1777  const lapack_complex_float* du,
1778  const lapack_complex_float* du2,
1779  const lapack_int* ipiv, lapack_complex_float* b,
1780  lapack_int ldb );
1781 lapack_int LAPACKE_zgttrs( int matrix_layout, char trans, lapack_int n,
1782  lapack_int nrhs, const lapack_complex_double* dl,
1783  const lapack_complex_double* d,
1784  const lapack_complex_double* du,
1785  const lapack_complex_double* du2,
1786  const lapack_int* ipiv, lapack_complex_double* b,
1787  lapack_int ldb );
1788 
1789 lapack_int LAPACKE_chbev( int matrix_layout, char jobz, char uplo, lapack_int n,
1791  lapack_int ldab, float* w, lapack_complex_float* z,
1792  lapack_int ldz );
1793 lapack_int LAPACKE_zhbev( int matrix_layout, char jobz, char uplo, lapack_int n,
1795  lapack_int ldab, double* w, lapack_complex_double* z,
1796  lapack_int ldz );
1797 
1798 lapack_int LAPACKE_chbevd( int matrix_layout, char jobz, char uplo, lapack_int n,
1800  lapack_int ldab, float* w, lapack_complex_float* z,
1801  lapack_int ldz );
1802 lapack_int LAPACKE_zhbevd( int matrix_layout, char jobz, char uplo, lapack_int n,
1804  lapack_int ldab, double* w, lapack_complex_double* z,
1805  lapack_int ldz );
1806 
1807 lapack_int LAPACKE_chbevx( int matrix_layout, char jobz, char range, char uplo,
1808  lapack_int n, lapack_int kd,
1809  lapack_complex_float* ab, lapack_int ldab,
1810  lapack_complex_float* q, lapack_int ldq, float vl,
1811  float vu, lapack_int il, lapack_int iu, float abstol,
1812  lapack_int* m, float* w, lapack_complex_float* z,
1813  lapack_int ldz, lapack_int* ifail );
1814 lapack_int LAPACKE_zhbevx( int matrix_layout, char jobz, char range, char uplo,
1815  lapack_int n, lapack_int kd,
1817  lapack_complex_double* q, lapack_int ldq, double vl,
1818  double vu, lapack_int il, lapack_int iu,
1819  double abstol, lapack_int* m, double* w,
1821  lapack_int* ifail );
1822 
1823 lapack_int LAPACKE_chbgst( int matrix_layout, char vect, char uplo, lapack_int n,
1824  lapack_int ka, lapack_int kb,
1825  lapack_complex_float* ab, lapack_int ldab,
1826  const lapack_complex_float* bb, lapack_int ldbb,
1827  lapack_complex_float* x, lapack_int ldx );
1828 lapack_int LAPACKE_zhbgst( int matrix_layout, char vect, char uplo, lapack_int n,
1829  lapack_int ka, lapack_int kb,
1831  const lapack_complex_double* bb, lapack_int ldbb,
1833 
1834 lapack_int LAPACKE_chbgv( int matrix_layout, char jobz, char uplo, lapack_int n,
1835  lapack_int ka, lapack_int kb,
1836  lapack_complex_float* ab, lapack_int ldab,
1837  lapack_complex_float* bb, lapack_int ldbb, float* w,
1838  lapack_complex_float* z, lapack_int ldz );
1839 lapack_int LAPACKE_zhbgv( int matrix_layout, char jobz, char uplo, lapack_int n,
1840  lapack_int ka, lapack_int kb,
1842  lapack_complex_double* bb, lapack_int ldbb, double* w,
1844 
1845 lapack_int LAPACKE_chbgvd( int matrix_layout, char jobz, char uplo, lapack_int n,
1846  lapack_int ka, lapack_int kb,
1847  lapack_complex_float* ab, lapack_int ldab,
1848  lapack_complex_float* bb, lapack_int ldbb, float* w,
1849  lapack_complex_float* z, lapack_int ldz );
1850 lapack_int LAPACKE_zhbgvd( int matrix_layout, char jobz, char uplo, lapack_int n,
1851  lapack_int ka, lapack_int kb,
1854  double* w, lapack_complex_double* z,
1855  lapack_int ldz );
1856 
1857 lapack_int LAPACKE_chbgvx( int matrix_layout, char jobz, char range, char uplo,
1858  lapack_int n, lapack_int ka, lapack_int kb,
1859  lapack_complex_float* ab, lapack_int ldab,
1860  lapack_complex_float* bb, lapack_int ldbb,
1861  lapack_complex_float* q, lapack_int ldq, float vl,
1862  float vu, lapack_int il, lapack_int iu, float abstol,
1863  lapack_int* m, float* w, lapack_complex_float* z,
1864  lapack_int ldz, lapack_int* ifail );
1865 lapack_int LAPACKE_zhbgvx( int matrix_layout, char jobz, char range, char uplo,
1866  lapack_int n, lapack_int ka, lapack_int kb,
1869  lapack_complex_double* q, lapack_int ldq, double vl,
1870  double vu, lapack_int il, lapack_int iu,
1871  double abstol, lapack_int* m, double* w,
1873  lapack_int* ifail );
1874 
1875 lapack_int LAPACKE_chbtrd( int matrix_layout, char vect, char uplo, lapack_int n,
1877  lapack_int ldab, float* d, float* e,
1878  lapack_complex_float* q, lapack_int ldq );
1879 lapack_int LAPACKE_zhbtrd( int matrix_layout, char vect, char uplo, lapack_int n,
1881  lapack_int ldab, double* d, double* e,
1883 
1884 lapack_int LAPACKE_checon( int matrix_layout, char uplo, lapack_int n,
1885  const lapack_complex_float* a, lapack_int lda,
1886  const lapack_int* ipiv, float anorm, float* rcond );
1887 lapack_int LAPACKE_zhecon( int matrix_layout, char uplo, lapack_int n,
1888  const lapack_complex_double* a, lapack_int lda,
1889  const lapack_int* ipiv, double anorm,
1890  double* rcond );
1891 
1892 lapack_int LAPACKE_cheequb( int matrix_layout, char uplo, lapack_int n,
1893  const lapack_complex_float* a, lapack_int lda,
1894  float* s, float* scond, float* amax );
1895 lapack_int LAPACKE_zheequb( int matrix_layout, char uplo, lapack_int n,
1896  const lapack_complex_double* a, lapack_int lda,
1897  double* s, double* scond, double* amax );
1898 
1899 lapack_int LAPACKE_cheev( int matrix_layout, char jobz, char uplo, lapack_int n,
1900  lapack_complex_float* a, lapack_int lda, float* w );
1901 lapack_int LAPACKE_zheev( int matrix_layout, char jobz, char uplo, lapack_int n,
1902  lapack_complex_double* a, lapack_int lda, double* w );
1903 
1904 lapack_int LAPACKE_cheevd( int matrix_layout, char jobz, char uplo, lapack_int n,
1905  lapack_complex_float* a, lapack_int lda, float* w );
1906 lapack_int LAPACKE_zheevd( int matrix_layout, char jobz, char uplo, lapack_int n,
1908  double* w );
1909 
1910 lapack_int LAPACKE_cheevr( int matrix_layout, char jobz, char range, char uplo,
1912  lapack_int lda, float vl, float vu, lapack_int il,
1913  lapack_int iu, float abstol, lapack_int* m, float* w,
1915  lapack_int* isuppz );
1916 lapack_int LAPACKE_zheevr( int matrix_layout, char jobz, char range, char uplo,
1918  lapack_int lda, double vl, double vu, lapack_int il,
1919  lapack_int iu, double abstol, lapack_int* m,
1920  double* w, lapack_complex_double* z, lapack_int ldz,
1921  lapack_int* isuppz );
1922 
1923 lapack_int LAPACKE_cheevx( int matrix_layout, char jobz, char range, char uplo,
1925  lapack_int lda, float vl, float vu, lapack_int il,
1926  lapack_int iu, float abstol, lapack_int* m, float* w,
1928  lapack_int* ifail );
1929 lapack_int LAPACKE_zheevx( int matrix_layout, char jobz, char range, char uplo,
1931  lapack_int lda, double vl, double vu, lapack_int il,
1932  lapack_int iu, double abstol, lapack_int* m,
1933  double* w, lapack_complex_double* z, lapack_int ldz,
1934  lapack_int* ifail );
1935 
1936 lapack_int LAPACKE_chegst( int matrix_layout, lapack_int itype, char uplo,
1938  lapack_int lda, const lapack_complex_float* b,
1939  lapack_int ldb );
1940 lapack_int LAPACKE_zhegst( int matrix_layout, lapack_int itype, char uplo,
1942  lapack_int lda, const lapack_complex_double* b,
1943  lapack_int ldb );
1944 
1945 lapack_int LAPACKE_chegv( int matrix_layout, lapack_int itype, char jobz,
1946  char uplo, lapack_int n, lapack_complex_float* a,
1948  lapack_int ldb, float* w );
1949 lapack_int LAPACKE_zhegv( int matrix_layout, lapack_int itype, char jobz,
1950  char uplo, lapack_int n, lapack_complex_double* a,
1952  lapack_int ldb, double* w );
1953 
1954 lapack_int LAPACKE_chegvd( int matrix_layout, lapack_int itype, char jobz,
1955  char uplo, lapack_int n, lapack_complex_float* a,
1957  lapack_int ldb, float* w );
1958 lapack_int LAPACKE_zhegvd( int matrix_layout, lapack_int itype, char jobz,
1959  char uplo, lapack_int n, lapack_complex_double* a,
1961  lapack_int ldb, double* w );
1962 
1963 lapack_int LAPACKE_chegvx( int matrix_layout, lapack_int itype, char jobz,
1964  char range, char uplo, lapack_int n,
1966  lapack_complex_float* b, lapack_int ldb, float vl,
1967  float vu, lapack_int il, lapack_int iu, float abstol,
1968  lapack_int* m, float* w, lapack_complex_float* z,
1969  lapack_int ldz, lapack_int* ifail );
1970 lapack_int LAPACKE_zhegvx( int matrix_layout, lapack_int itype, char jobz,
1971  char range, char uplo, lapack_int n,
1973  lapack_complex_double* b, lapack_int ldb, double vl,
1974  double vu, lapack_int il, lapack_int iu,
1975  double abstol, lapack_int* m, double* w,
1977  lapack_int* ifail );
1978 
1979 lapack_int LAPACKE_cherfs( int matrix_layout, char uplo, lapack_int n,
1980  lapack_int nrhs, const lapack_complex_float* a,
1981  lapack_int lda, const lapack_complex_float* af,
1982  lapack_int ldaf, const lapack_int* ipiv,
1983  const lapack_complex_float* b, lapack_int ldb,
1984  lapack_complex_float* x, lapack_int ldx, float* ferr,
1985  float* berr );
1986 lapack_int LAPACKE_zherfs( int matrix_layout, char uplo, lapack_int n,
1987  lapack_int nrhs, const lapack_complex_double* a,
1988  lapack_int lda, const lapack_complex_double* af,
1989  lapack_int ldaf, const lapack_int* ipiv,
1990  const lapack_complex_double* b, lapack_int ldb,
1992  double* ferr, double* berr );
1993 
1994 lapack_int LAPACKE_cherfsx( int matrix_layout, char uplo, char equed,
1995  lapack_int n, lapack_int nrhs,
1996  const lapack_complex_float* a, lapack_int lda,
1997  const lapack_complex_float* af, lapack_int ldaf,
1998  const lapack_int* ipiv, const float* s,
1999  const lapack_complex_float* b, lapack_int ldb,
2001  float* rcond, float* berr, lapack_int n_err_bnds,
2002  float* err_bnds_norm, float* err_bnds_comp,
2003  lapack_int nparams, float* params );
2004 lapack_int LAPACKE_zherfsx( int matrix_layout, char uplo, char equed,
2005  lapack_int n, lapack_int nrhs,
2006  const lapack_complex_double* a, lapack_int lda,
2007  const lapack_complex_double* af, lapack_int ldaf,
2008  const lapack_int* ipiv, const double* s,
2009  const lapack_complex_double* b, lapack_int ldb,
2011  double* rcond, double* berr, lapack_int n_err_bnds,
2012  double* err_bnds_norm, double* err_bnds_comp,
2013  lapack_int nparams, double* params );
2014 
2015 lapack_int LAPACKE_chesv( int matrix_layout, char uplo, lapack_int n,
2017  lapack_int lda, lapack_int* ipiv,
2018  lapack_complex_float* b, lapack_int ldb );
2019 lapack_int LAPACKE_zhesv( int matrix_layout, char uplo, lapack_int n,
2021  lapack_int lda, lapack_int* ipiv,
2023 
2024 lapack_int LAPACKE_chesvx( int matrix_layout, char fact, char uplo, lapack_int n,
2025  lapack_int nrhs, const lapack_complex_float* a,
2027  lapack_int ldaf, lapack_int* ipiv,
2028  const lapack_complex_float* b, lapack_int ldb,
2030  float* rcond, float* ferr, float* berr );
2031 lapack_int LAPACKE_zhesvx( int matrix_layout, char fact, char uplo, lapack_int n,
2032  lapack_int nrhs, const lapack_complex_double* a,
2034  lapack_int ldaf, lapack_int* ipiv,
2035  const lapack_complex_double* b, lapack_int ldb,
2037  double* rcond, double* ferr, double* berr );
2038 
2039 lapack_int LAPACKE_chesvxx( int matrix_layout, char fact, char uplo,
2040  lapack_int n, lapack_int nrhs,
2042  lapack_complex_float* af, lapack_int ldaf,
2043  lapack_int* ipiv, char* equed, float* s,
2046  float* rcond, float* rpvgrw, float* berr,
2047  lapack_int n_err_bnds, float* err_bnds_norm,
2048  float* err_bnds_comp, lapack_int nparams,
2049  float* params );
2050 lapack_int LAPACKE_zhesvxx( int matrix_layout, char fact, char uplo,
2051  lapack_int n, lapack_int nrhs,
2054  lapack_int* ipiv, char* equed, double* s,
2057  double* rcond, double* rpvgrw, double* berr,
2058  lapack_int n_err_bnds, double* err_bnds_norm,
2059  double* err_bnds_comp, lapack_int nparams,
2060  double* params );
2061 
2062 lapack_int LAPACKE_chetrd( int matrix_layout, char uplo, lapack_int n,
2063  lapack_complex_float* a, lapack_int lda, float* d,
2064  float* e, lapack_complex_float* tau );
2065 lapack_int LAPACKE_zhetrd( int matrix_layout, char uplo, lapack_int n,
2066  lapack_complex_double* a, lapack_int lda, double* d,
2067  double* e, lapack_complex_double* tau );
2068 
2069 lapack_int LAPACKE_chetrf( int matrix_layout, char uplo, lapack_int n,
2071  lapack_int* ipiv );
2072 lapack_int LAPACKE_zhetrf( int matrix_layout, char uplo, lapack_int n,
2074  lapack_int* ipiv );
2075 
2076 lapack_int LAPACKE_chetri( int matrix_layout, char uplo, lapack_int n,
2078  const lapack_int* ipiv );
2079 lapack_int LAPACKE_zhetri( int matrix_layout, char uplo, lapack_int n,
2081  const lapack_int* ipiv );
2082 
2083 lapack_int LAPACKE_chetrs( int matrix_layout, char uplo, lapack_int n,
2084  lapack_int nrhs, const lapack_complex_float* a,
2085  lapack_int lda, const lapack_int* ipiv,
2086  lapack_complex_float* b, lapack_int ldb );
2087 lapack_int LAPACKE_zhetrs( int matrix_layout, char uplo, lapack_int n,
2088  lapack_int nrhs, const lapack_complex_double* a,
2089  lapack_int lda, const lapack_int* ipiv,
2091 
2092 lapack_int LAPACKE_chfrk( int matrix_layout, char transr, char uplo, char trans,
2093  lapack_int n, lapack_int k, float alpha,
2094  const lapack_complex_float* a, lapack_int lda,
2095  float beta, lapack_complex_float* c );
2096 lapack_int LAPACKE_zhfrk( int matrix_layout, char transr, char uplo, char trans,
2097  lapack_int n, lapack_int k, double alpha,
2098  const lapack_complex_double* a, lapack_int lda,
2099  double beta, lapack_complex_double* c );
2100 
2101 lapack_int LAPACKE_shgeqz( int matrix_layout, char job, char compq, char compz,
2102  lapack_int n, lapack_int ilo, lapack_int ihi,
2103  float* h, lapack_int ldh, float* t, lapack_int ldt,
2104  float* alphar, float* alphai, float* beta, float* q,
2105  lapack_int ldq, float* z, lapack_int ldz );
2106 lapack_int LAPACKE_dhgeqz( int matrix_layout, char job, char compq, char compz,
2107  lapack_int n, lapack_int ilo, lapack_int ihi,
2108  double* h, lapack_int ldh, double* t, lapack_int ldt,
2109  double* alphar, double* alphai, double* beta,
2110  double* q, lapack_int ldq, double* z,
2111  lapack_int ldz );
2112 lapack_int LAPACKE_chgeqz( int matrix_layout, char job, char compq, char compz,
2113  lapack_int n, lapack_int ilo, lapack_int ihi,
2116  lapack_complex_float* alpha,
2119  lapack_int ldz );
2120 lapack_int LAPACKE_zhgeqz( int matrix_layout, char job, char compq, char compz,
2121  lapack_int n, lapack_int ilo, lapack_int ihi,
2124  lapack_complex_double* alpha,
2125  lapack_complex_double* beta,
2128 
2129 lapack_int LAPACKE_chpcon( int matrix_layout, char uplo, lapack_int n,
2130  const lapack_complex_float* ap,
2131  const lapack_int* ipiv, float anorm, float* rcond );
2132 lapack_int LAPACKE_zhpcon( int matrix_layout, char uplo, lapack_int n,
2133  const lapack_complex_double* ap,
2134  const lapack_int* ipiv, double anorm,
2135  double* rcond );
2136 
2137 lapack_int LAPACKE_chpev( int matrix_layout, char jobz, char uplo, lapack_int n,
2138  lapack_complex_float* ap, float* w,
2139  lapack_complex_float* z, lapack_int ldz );
2140 lapack_int LAPACKE_zhpev( int matrix_layout, char jobz, char uplo, lapack_int n,
2141  lapack_complex_double* ap, double* w,
2143 
2144 lapack_int LAPACKE_chpevd( int matrix_layout, char jobz, char uplo, lapack_int n,
2145  lapack_complex_float* ap, float* w,
2146  lapack_complex_float* z, lapack_int ldz );
2147 lapack_int LAPACKE_zhpevd( int matrix_layout, char jobz, char uplo, lapack_int n,
2148  lapack_complex_double* ap, double* w,
2150 
2151 lapack_int LAPACKE_chpevx( int matrix_layout, char jobz, char range, char uplo,
2152  lapack_int n, lapack_complex_float* ap, float vl,
2153  float vu, lapack_int il, lapack_int iu, float abstol,
2154  lapack_int* m, float* w, lapack_complex_float* z,
2155  lapack_int ldz, lapack_int* ifail );
2156 lapack_int LAPACKE_zhpevx( int matrix_layout, char jobz, char range, char uplo,
2157  lapack_int n, lapack_complex_double* ap, double vl,
2158  double vu, lapack_int il, lapack_int iu,
2159  double abstol, lapack_int* m, double* w,
2161  lapack_int* ifail );
2162 
2163 lapack_int LAPACKE_chpgst( int matrix_layout, lapack_int itype, char uplo,
2165  const lapack_complex_float* bp );
2166 lapack_int LAPACKE_zhpgst( int matrix_layout, lapack_int itype, char uplo,
2168  const lapack_complex_double* bp );
2169 
2170 lapack_int LAPACKE_chpgv( int matrix_layout, lapack_int itype, char jobz,
2171  char uplo, lapack_int n, lapack_complex_float* ap,
2172  lapack_complex_float* bp, float* w,
2173  lapack_complex_float* z, lapack_int ldz );
2174 lapack_int LAPACKE_zhpgv( int matrix_layout, lapack_int itype, char jobz,
2175  char uplo, lapack_int n, lapack_complex_double* ap,
2176  lapack_complex_double* bp, double* w,
2178 
2179 lapack_int LAPACKE_chpgvd( int matrix_layout, lapack_int itype, char jobz,
2180  char uplo, lapack_int n, lapack_complex_float* ap,
2181  lapack_complex_float* bp, float* w,
2182  lapack_complex_float* z, lapack_int ldz );
2183 lapack_int LAPACKE_zhpgvd( int matrix_layout, lapack_int itype, char jobz,
2184  char uplo, lapack_int n, lapack_complex_double* ap,
2185  lapack_complex_double* bp, double* w,
2187 
2188 lapack_int LAPACKE_chpgvx( int matrix_layout, lapack_int itype, char jobz,
2189  char range, char uplo, lapack_int n,
2191  float vl, float vu, lapack_int il, lapack_int iu,
2192  float abstol, lapack_int* m, float* w,
2194  lapack_int* ifail );
2195 lapack_int LAPACKE_zhpgvx( int matrix_layout, lapack_int itype, char jobz,
2196  char range, char uplo, lapack_int n,
2198  double vl, double vu, lapack_int il, lapack_int iu,
2199  double abstol, lapack_int* m, double* w,
2201  lapack_int* ifail );
2202 
2203 lapack_int LAPACKE_chprfs( int matrix_layout, char uplo, lapack_int n,
2204  lapack_int nrhs, const lapack_complex_float* ap,
2205  const lapack_complex_float* afp,
2206  const lapack_int* ipiv,
2207  const lapack_complex_float* b, lapack_int ldb,
2208  lapack_complex_float* x, lapack_int ldx, float* ferr,
2209  float* berr );
2210 lapack_int LAPACKE_zhprfs( int matrix_layout, char uplo, lapack_int n,
2211  lapack_int nrhs, const lapack_complex_double* ap,
2212  const lapack_complex_double* afp,
2213  const lapack_int* ipiv,
2214  const lapack_complex_double* b, lapack_int ldb,
2216  double* ferr, double* berr );
2217 
2218 lapack_int LAPACKE_chpsv( int matrix_layout, char uplo, lapack_int n,
2219  lapack_int nrhs, lapack_complex_float* ap,
2220  lapack_int* ipiv, lapack_complex_float* b,
2221  lapack_int ldb );
2222 lapack_int LAPACKE_zhpsv( int matrix_layout, char uplo, lapack_int n,
2225  lapack_int ldb );
2226 
2227 lapack_int LAPACKE_chpsvx( int matrix_layout, char fact, char uplo, lapack_int n,
2228  lapack_int nrhs, const lapack_complex_float* ap,
2229  lapack_complex_float* afp, lapack_int* ipiv,
2230  const lapack_complex_float* b, lapack_int ldb,
2232  float* rcond, float* ferr, float* berr );
2233 lapack_int LAPACKE_zhpsvx( int matrix_layout, char fact, char uplo, lapack_int n,
2234  lapack_int nrhs, const lapack_complex_double* ap,
2235  lapack_complex_double* afp, lapack_int* ipiv,
2236  const lapack_complex_double* b, lapack_int ldb,
2238  double* rcond, double* ferr, double* berr );
2239 
2240 lapack_int LAPACKE_chptrd( int matrix_layout, char uplo, lapack_int n,
2241  lapack_complex_float* ap, float* d, float* e,
2242  lapack_complex_float* tau );
2243 lapack_int LAPACKE_zhptrd( int matrix_layout, char uplo, lapack_int n,
2244  lapack_complex_double* ap, double* d, double* e,
2245  lapack_complex_double* tau );
2246 
2247 lapack_int LAPACKE_chptrf( int matrix_layout, char uplo, lapack_int n,
2248  lapack_complex_float* ap, lapack_int* ipiv );
2249 lapack_int LAPACKE_zhptrf( int matrix_layout, char uplo, lapack_int n,
2250  lapack_complex_double* ap, lapack_int* ipiv );
2251 
2252 lapack_int LAPACKE_chptri( int matrix_layout, char uplo, lapack_int n,
2253  lapack_complex_float* ap, const lapack_int* ipiv );
2254 lapack_int LAPACKE_zhptri( int matrix_layout, char uplo, lapack_int n,
2255  lapack_complex_double* ap, const lapack_int* ipiv );
2256 
2257 lapack_int LAPACKE_chptrs( int matrix_layout, char uplo, lapack_int n,
2258  lapack_int nrhs, const lapack_complex_float* ap,
2259  const lapack_int* ipiv, lapack_complex_float* b,
2260  lapack_int ldb );
2261 lapack_int LAPACKE_zhptrs( int matrix_layout, char uplo, lapack_int n,
2262  lapack_int nrhs, const lapack_complex_double* ap,
2263  const lapack_int* ipiv, lapack_complex_double* b,
2264  lapack_int ldb );
2265 
2266 lapack_int LAPACKE_shsein( int matrix_layout, char job, char eigsrc, char initv,
2267  lapack_logical* select, lapack_int n, const float* h,
2268  lapack_int ldh, float* wr, const float* wi,
2269  float* vl, lapack_int ldvl, float* vr,
2270  lapack_int ldvr, lapack_int mm, lapack_int* m,
2271  lapack_int* ifaill, lapack_int* ifailr );
2272 lapack_int LAPACKE_dhsein( int matrix_layout, char job, char eigsrc, char initv,
2273  lapack_logical* select, lapack_int n,
2274  const double* h, lapack_int ldh, double* wr,
2275  const double* wi, double* vl, lapack_int ldvl,
2276  double* vr, lapack_int ldvr, lapack_int mm,
2277  lapack_int* m, lapack_int* ifaill,
2278  lapack_int* ifailr );
2279 lapack_int LAPACKE_chsein( int matrix_layout, char job, char eigsrc, char initv,
2280  const lapack_logical* select, lapack_int n,
2281  const lapack_complex_float* h, lapack_int ldh,
2283  lapack_int ldvl, lapack_complex_float* vr,
2284  lapack_int ldvr, lapack_int mm, lapack_int* m,
2285  lapack_int* ifaill, lapack_int* ifailr );
2286 lapack_int LAPACKE_zhsein( int matrix_layout, char job, char eigsrc, char initv,
2287  const lapack_logical* select, lapack_int n,
2288  const lapack_complex_double* h, lapack_int ldh,
2291  lapack_int ldvr, lapack_int mm, lapack_int* m,
2292  lapack_int* ifaill, lapack_int* ifailr );
2293 
2294 lapack_int LAPACKE_shseqr( int matrix_layout, char job, char compz, lapack_int n,
2295  lapack_int ilo, lapack_int ihi, float* h,
2296  lapack_int ldh, float* wr, float* wi, float* z,
2297  lapack_int ldz );
2298 lapack_int LAPACKE_dhseqr( int matrix_layout, char job, char compz, lapack_int n,
2299  lapack_int ilo, lapack_int ihi, double* h,
2300  lapack_int ldh, double* wr, double* wi, double* z,
2301  lapack_int ldz );
2302 lapack_int LAPACKE_chseqr( int matrix_layout, char job, char compz, lapack_int n,
2303  lapack_int ilo, lapack_int ihi,
2306  lapack_int ldz );
2307 lapack_int LAPACKE_zhseqr( int matrix_layout, char job, char compz, lapack_int n,
2308  lapack_int ilo, lapack_int ihi,
2311  lapack_int ldz );
2312 
2314  lapack_int incx );
2316  lapack_int incx );
2317 
2318 lapack_int LAPACKE_slacn2( lapack_int n, float* v, float* x, lapack_int* isgn,
2319  float* est, lapack_int* kase, lapack_int* isave );
2320 lapack_int LAPACKE_dlacn2( lapack_int n, double* v, double* x, lapack_int* isgn,
2321  double* est, lapack_int* kase, lapack_int* isave );
2324  float* est, lapack_int* kase, lapack_int* isave );
2327  double* est, lapack_int* kase, lapack_int* isave );
2328 
2329 lapack_int LAPACKE_slacpy( int matrix_layout, char uplo, lapack_int m,
2330  lapack_int n, const float* a, lapack_int lda, float* b,
2331  lapack_int ldb );
2332 lapack_int LAPACKE_dlacpy( int matrix_layout, char uplo, lapack_int m,
2333  lapack_int n, const double* a, lapack_int lda, double* b,
2334  lapack_int ldb );
2335 lapack_int LAPACKE_clacpy( int matrix_layout, char uplo, lapack_int m,
2336  lapack_int n, const lapack_complex_float* a,
2338  lapack_int ldb );
2339 lapack_int LAPACKE_zlacpy( int matrix_layout, char uplo, lapack_int m,
2340  lapack_int n, const lapack_complex_double* a,
2342  lapack_int ldb );
2343 
2344 lapack_int LAPACKE_clacp2( int matrix_layout, char uplo, lapack_int m,
2345  lapack_int n, const float* a, lapack_int lda,
2346  lapack_complex_float* b, lapack_int ldb );
2347 lapack_int LAPACKE_zlacp2( int matrix_layout, char uplo, lapack_int m,
2348  lapack_int n, const double* a, lapack_int lda,
2350 
2351 lapack_int LAPACKE_zlag2c( int matrix_layout, lapack_int m, lapack_int n,
2352  const lapack_complex_double* a, lapack_int lda,
2353  lapack_complex_float* sa, lapack_int ldsa );
2354 
2355 lapack_int LAPACKE_slag2d( int matrix_layout, lapack_int m, lapack_int n,
2356  const float* sa, lapack_int ldsa, double* a,
2357  lapack_int lda );
2358 
2359 lapack_int LAPACKE_dlag2s( int matrix_layout, lapack_int m, lapack_int n,
2360  const double* a, lapack_int lda, float* sa,
2361  lapack_int ldsa );
2362 
2363 lapack_int LAPACKE_clag2z( int matrix_layout, lapack_int m, lapack_int n,
2364  const lapack_complex_float* sa, lapack_int ldsa,
2366 
2367 lapack_int LAPACKE_slagge( int matrix_layout, lapack_int m, lapack_int n,
2368  lapack_int kl, lapack_int ku, const float* d,
2369  float* a, lapack_int lda, lapack_int* iseed );
2370 lapack_int LAPACKE_dlagge( int matrix_layout, lapack_int m, lapack_int n,
2371  lapack_int kl, lapack_int ku, const double* d,
2372  double* a, lapack_int lda, lapack_int* iseed );
2373 lapack_int LAPACKE_clagge( int matrix_layout, lapack_int m, lapack_int n,
2374  lapack_int kl, lapack_int ku, const float* d,
2376  lapack_int* iseed );
2377 lapack_int LAPACKE_zlagge( int matrix_layout, lapack_int m, lapack_int n,
2378  lapack_int kl, lapack_int ku, const double* d,
2380  lapack_int* iseed );
2381 
2382 float LAPACKE_slamch( char cmach );
2383 double LAPACKE_dlamch( char cmach );
2384 
2385 float LAPACKE_slange( int matrix_layout, char norm, lapack_int m,
2386  lapack_int n, const float* a, lapack_int lda );
2387 double LAPACKE_dlange( int matrix_layout, char norm, lapack_int m,
2388  lapack_int n, const double* a, lapack_int lda );
2389 float LAPACKE_clange( int matrix_layout, char norm, lapack_int m,
2390  lapack_int n, const lapack_complex_float* a,
2391  lapack_int lda );
2392 double LAPACKE_zlange( int matrix_layout, char norm, lapack_int m,
2393  lapack_int n, const lapack_complex_double* a,
2394  lapack_int lda );
2395 
2396 float LAPACKE_clanhe( int matrix_layout, char norm, char uplo, lapack_int n,
2397  const lapack_complex_float* a, lapack_int lda );
2398 double LAPACKE_zlanhe( int matrix_layout, char norm, char uplo, lapack_int n,
2399  const lapack_complex_double* a, lapack_int lda );
2400 
2401 float LAPACKE_slansy( int matrix_layout, char norm, char uplo, lapack_int n,
2402  const float* a, lapack_int lda );
2403 double LAPACKE_dlansy( int matrix_layout, char norm, char uplo, lapack_int n,
2404  const double* a, lapack_int lda );
2405 float LAPACKE_clansy( int matrix_layout, char norm, char uplo, lapack_int n,
2406  const lapack_complex_float* a, lapack_int lda );
2407 double LAPACKE_zlansy( int matrix_layout, char norm, char uplo, lapack_int n,
2408  const lapack_complex_double* a, lapack_int lda );
2409 
2410 float LAPACKE_slantr( int matrix_layout, char norm, char uplo, char diag,
2411  lapack_int m, lapack_int n, const float* a,
2412  lapack_int lda );
2413 double LAPACKE_dlantr( int matrix_layout, char norm, char uplo, char diag,
2414  lapack_int m, lapack_int n, const double* a,
2415  lapack_int lda );
2416 float LAPACKE_clantr( int matrix_layout, char norm, char uplo, char diag,
2418  lapack_int lda );
2419 double LAPACKE_zlantr( int matrix_layout, char norm, char uplo, char diag,
2421  lapack_int lda );
2422 
2423 
2424 lapack_int LAPACKE_slarfb( int matrix_layout, char side, char trans, char direct,
2425  char storev, lapack_int m, lapack_int n,
2426  lapack_int k, const float* v, lapack_int ldv,
2427  const float* t, lapack_int ldt, float* c,
2428  lapack_int ldc );
2429 lapack_int LAPACKE_dlarfb( int matrix_layout, char side, char trans, char direct,
2430  char storev, lapack_int m, lapack_int n,
2431  lapack_int k, const double* v, lapack_int ldv,
2432  const double* t, lapack_int ldt, double* c,
2433  lapack_int ldc );
2434 lapack_int LAPACKE_clarfb( int matrix_layout, char side, char trans, char direct,
2435  char storev, lapack_int m, lapack_int n,
2436  lapack_int k, const lapack_complex_float* v,
2437  lapack_int ldv, const lapack_complex_float* t,
2439  lapack_int ldc );
2440 lapack_int LAPACKE_zlarfb( int matrix_layout, char side, char trans, char direct,
2441  char storev, lapack_int m, lapack_int n,
2442  lapack_int k, const lapack_complex_double* v,
2443  lapack_int ldv, const lapack_complex_double* t,
2445  lapack_int ldc );
2446 
2447 lapack_int LAPACKE_slarfg( lapack_int n, float* alpha, float* x,
2448  lapack_int incx, float* tau );
2449 lapack_int LAPACKE_dlarfg( lapack_int n, double* alpha, double* x,
2450  lapack_int incx, double* tau );
2453  lapack_complex_float* tau );
2456  lapack_complex_double* tau );
2457 
2458 lapack_int LAPACKE_slarft( int matrix_layout, char direct, char storev,
2459  lapack_int n, lapack_int k, const float* v,
2460  lapack_int ldv, const float* tau, float* t,
2461  lapack_int ldt );
2462 lapack_int LAPACKE_dlarft( int matrix_layout, char direct, char storev,
2463  lapack_int n, lapack_int k, const double* v,
2464  lapack_int ldv, const double* tau, double* t,
2465  lapack_int ldt );
2466 lapack_int LAPACKE_clarft( int matrix_layout, char direct, char storev,
2467  lapack_int n, lapack_int k,
2468  const lapack_complex_float* v, lapack_int ldv,
2469  const lapack_complex_float* tau,
2470  lapack_complex_float* t, lapack_int ldt );
2471 lapack_int LAPACKE_zlarft( int matrix_layout, char direct, char storev,
2472  lapack_int n, lapack_int k,
2473  const lapack_complex_double* v, lapack_int ldv,
2474  const lapack_complex_double* tau,
2476 
2477 lapack_int LAPACKE_slarfx( int matrix_layout, char side, lapack_int m,
2478  lapack_int n, const float* v, float tau, float* c,
2479  lapack_int ldc, float* work );
2480 lapack_int LAPACKE_dlarfx( int matrix_layout, char side, lapack_int m,
2481  lapack_int n, const double* v, double tau, double* c,
2482  lapack_int ldc, double* work );
2483 lapack_int LAPACKE_clarfx( int matrix_layout, char side, lapack_int m,
2484  lapack_int n, const lapack_complex_float* v,
2486  lapack_int ldc, lapack_complex_float* work );
2487 lapack_int LAPACKE_zlarfx( int matrix_layout, char side, lapack_int m,
2488  lapack_int n, const lapack_complex_double* v,
2490  lapack_int ldc, lapack_complex_double* work );
2491 
2493  float* x );
2495  double* x );
2497  lapack_complex_float* x );
2499  lapack_complex_double* x );
2500 
2501 lapack_int LAPACKE_slascl( int matrix_layout, char type, lapack_int kl,
2502  lapack_int ku, float cfrom, float cto,
2503  lapack_int m, lapack_int n, float* a,
2504  lapack_int lda );
2505 lapack_int LAPACKE_dlascl( int matrix_layout, char type, lapack_int kl,
2506  lapack_int ku, double cfrom, double cto,
2507  lapack_int m, lapack_int n, double* a,
2508  lapack_int lda );
2509 lapack_int LAPACKE_clascl( int matrix_layout, char type, lapack_int kl,
2510  lapack_int ku, float cfrom, float cto,
2512  lapack_int lda );
2513 lapack_int LAPACKE_zlascl( int matrix_layout, char type, lapack_int kl,
2514  lapack_int ku, double cfrom, double cto,
2516  lapack_int lda );
2517 
2518 lapack_int LAPACKE_slaset( int matrix_layout, char uplo, lapack_int m,
2519  lapack_int n, float alpha, float beta, float* a,
2520  lapack_int lda );
2521 lapack_int LAPACKE_dlaset( int matrix_layout, char uplo, lapack_int m,
2522  lapack_int n, double alpha, double beta, double* a,
2523  lapack_int lda );
2524 lapack_int LAPACKE_claset( int matrix_layout, char uplo, lapack_int m,
2527  lapack_int lda );
2528 lapack_int LAPACKE_zlaset( int matrix_layout, char uplo, lapack_int m,
2531  lapack_int lda );
2532 
2533 lapack_int LAPACKE_slasrt( char id, lapack_int n, float* d );
2534 lapack_int LAPACKE_dlasrt( char id, lapack_int n, double* d );
2535 
2536 lapack_int LAPACKE_slassq( lapack_int n, float* x, lapack_int incx, float* scale, float* sumsq );
2537 lapack_int LAPACKE_dlassq( lapack_int n, double* x, lapack_int incx, double* scale, double* sumsq );
2538 lapack_int LAPACKE_classq( lapack_int n, lapack_complex_float* x, lapack_int incx, float* scale, float* sumsq );
2539 lapack_int LAPACKE_zlassq( lapack_int n, lapack_complex_double* x, lapack_int incx, double* scale, double* sumsq );
2540 
2541 lapack_int LAPACKE_slaswp( int matrix_layout, lapack_int n, float* a,
2542  lapack_int lda, lapack_int k1, lapack_int k2,
2543  const lapack_int* ipiv, lapack_int incx );
2544 lapack_int LAPACKE_dlaswp( int matrix_layout, lapack_int n, double* a,
2545  lapack_int lda, lapack_int k1, lapack_int k2,
2546  const lapack_int* ipiv, lapack_int incx );
2547 lapack_int LAPACKE_claswp( int matrix_layout, lapack_int n,
2549  lapack_int k1, lapack_int k2, const lapack_int* ipiv,
2550  lapack_int incx );
2551 lapack_int LAPACKE_zlaswp( int matrix_layout, lapack_int n,
2553  lapack_int k1, lapack_int k2, const lapack_int* ipiv,
2554  lapack_int incx );
2555 
2556 lapack_int LAPACKE_slatms( int matrix_layout, lapack_int m, lapack_int n,
2557  char dist, lapack_int* iseed, char sym, float* d,
2558  lapack_int mode, float cond, float dmax,
2559  lapack_int kl, lapack_int ku, char pack, float* a,
2560  lapack_int lda );
2561 lapack_int LAPACKE_dlatms( int matrix_layout, lapack_int m, lapack_int n,
2562  char dist, lapack_int* iseed, char sym, double* d,
2563  lapack_int mode, double cond, double dmax,
2564  lapack_int kl, lapack_int ku, char pack, double* a,
2565  lapack_int lda );
2566 lapack_int LAPACKE_clatms( int matrix_layout, lapack_int m, lapack_int n,
2567  char dist, lapack_int* iseed, char sym, float* d,
2568  lapack_int mode, float cond, float dmax,
2569  lapack_int kl, lapack_int ku, char pack,
2570  lapack_complex_float* a, lapack_int lda );
2571 lapack_int LAPACKE_zlatms( int matrix_layout, lapack_int m, lapack_int n,
2572  char dist, lapack_int* iseed, char sym, double* d,
2573  lapack_int mode, double cond, double dmax,
2574  lapack_int kl, lapack_int ku, char pack,
2576 
2577 lapack_int LAPACKE_slauum( int matrix_layout, char uplo, lapack_int n, float* a,
2578  lapack_int lda );
2579 lapack_int LAPACKE_dlauum( int matrix_layout, char uplo, lapack_int n, double* a,
2580  lapack_int lda );
2581 lapack_int LAPACKE_clauum( int matrix_layout, char uplo, lapack_int n,
2582  lapack_complex_float* a, lapack_int lda );
2583 lapack_int LAPACKE_zlauum( int matrix_layout, char uplo, lapack_int n,
2585 
2586 lapack_int LAPACKE_sopgtr( int matrix_layout, char uplo, lapack_int n,
2587  const float* ap, const float* tau, float* q,
2588  lapack_int ldq );
2589 lapack_int LAPACKE_dopgtr( int matrix_layout, char uplo, lapack_int n,
2590  const double* ap, const double* tau, double* q,
2591  lapack_int ldq );
2592 
2593 lapack_int LAPACKE_sopmtr( int matrix_layout, char side, char uplo, char trans,
2594  lapack_int m, lapack_int n, const float* ap,
2595  const float* tau, float* c, lapack_int ldc );
2596 lapack_int LAPACKE_dopmtr( int matrix_layout, char side, char uplo, char trans,
2597  lapack_int m, lapack_int n, const double* ap,
2598  const double* tau, double* c, lapack_int ldc );
2599 
2600 lapack_int LAPACKE_sorgbr( int matrix_layout, char vect, lapack_int m,
2601  lapack_int n, lapack_int k, float* a, lapack_int lda,
2602  const float* tau );
2603 lapack_int LAPACKE_dorgbr( int matrix_layout, char vect, lapack_int m,
2604  lapack_int n, lapack_int k, double* a,
2605  lapack_int lda, const double* tau );
2606 
2607 lapack_int LAPACKE_sorghr( int matrix_layout, lapack_int n, lapack_int ilo,
2608  lapack_int ihi, float* a, lapack_int lda,
2609  const float* tau );
2610 lapack_int LAPACKE_dorghr( int matrix_layout, lapack_int n, lapack_int ilo,
2611  lapack_int ihi, double* a, lapack_int lda,
2612  const double* tau );
2613 
2614 lapack_int LAPACKE_sorglq( int matrix_layout, lapack_int m, lapack_int n,
2615  lapack_int k, float* a, lapack_int lda,
2616  const float* tau );
2617 lapack_int LAPACKE_dorglq( int matrix_layout, lapack_int m, lapack_int n,
2618  lapack_int k, double* a, lapack_int lda,
2619  const double* tau );
2620 
2621 lapack_int LAPACKE_sorgql( int matrix_layout, lapack_int m, lapack_int n,
2622  lapack_int k, float* a, lapack_int lda,
2623  const float* tau );
2624 lapack_int LAPACKE_dorgql( int matrix_layout, lapack_int m, lapack_int n,
2625  lapack_int k, double* a, lapack_int lda,
2626  const double* tau );
2627 
2628 lapack_int LAPACKE_sorgqr( int matrix_layout, lapack_int m, lapack_int n,
2629  lapack_int k, float* a, lapack_int lda,
2630  const float* tau );
2631 lapack_int LAPACKE_dorgqr( int matrix_layout, lapack_int m, lapack_int n,
2632  lapack_int k, double* a, lapack_int lda,
2633  const double* tau );
2634 
2635 lapack_int LAPACKE_sorgrq( int matrix_layout, lapack_int m, lapack_int n,
2636  lapack_int k, float* a, lapack_int lda,
2637  const float* tau );
2638 lapack_int LAPACKE_dorgrq( int matrix_layout, lapack_int m, lapack_int n,
2639  lapack_int k, double* a, lapack_int lda,
2640  const double* tau );
2641 
2642 lapack_int LAPACKE_sorgtr( int matrix_layout, char uplo, lapack_int n, float* a,
2643  lapack_int lda, const float* tau );
2644 lapack_int LAPACKE_dorgtr( int matrix_layout, char uplo, lapack_int n, double* a,
2645  lapack_int lda, const double* tau );
2646 
2647 lapack_int LAPACKE_sormbr( int matrix_layout, char vect, char side, char trans,
2649  const float* a, lapack_int lda, const float* tau,
2650  float* c, lapack_int ldc );
2651 lapack_int LAPACKE_dormbr( int matrix_layout, char vect, char side, char trans,
2653  const double* a, lapack_int lda, const double* tau,
2654  double* c, lapack_int ldc );
2655 
2656 lapack_int LAPACKE_sormhr( int matrix_layout, char side, char trans,
2657  lapack_int m, lapack_int n, lapack_int ilo,
2658  lapack_int ihi, const float* a, lapack_int lda,
2659  const float* tau, float* c, lapack_int ldc );
2660 lapack_int LAPACKE_dormhr( int matrix_layout, char side, char trans,
2661  lapack_int m, lapack_int n, lapack_int ilo,
2662  lapack_int ihi, const double* a, lapack_int lda,
2663  const double* tau, double* c, lapack_int ldc );
2664 
2665 lapack_int LAPACKE_sormlq( int matrix_layout, char side, char trans,
2667  const float* a, lapack_int lda, const float* tau,
2668  float* c, lapack_int ldc );
2669 lapack_int LAPACKE_dormlq( int matrix_layout, char side, char trans,
2671  const double* a, lapack_int lda, const double* tau,
2672  double* c, lapack_int ldc );
2673 
2674 lapack_int LAPACKE_sormql( int matrix_layout, char side, char trans,
2676  const float* a, lapack_int lda, const float* tau,
2677  float* c, lapack_int ldc );
2678 lapack_int LAPACKE_dormql( int matrix_layout, char side, char trans,
2680  const double* a, lapack_int lda, const double* tau,
2681  double* c, lapack_int ldc );
2682 
2683 lapack_int LAPACKE_sormqr( int matrix_layout, char side, char trans,
2685