3 * This source code is part of
7 * GROningen MAchine for Chemical Simulations
9 * Written by David van der Spoel, Erik Lindahl, Berk Hess, and others.
10 * Copyright (c) 1991-2000, University of Groningen, The Netherlands.
11 * Copyright (c) 2001-2008, The GROMACS development team,
12 * check out http://www.gromacs.org for more information.
14 * This program is free software; you can redistribute it and/or
15 * modify it under the terms of the GNU General Public License
16 * as published by the Free Software Foundation; either version 2
17 * of the License, or (at your option) any later version.
19 * If you want to redistribute modifications, please consider that
20 * scientific software is very special. Version control is crucial -
21 * bugs must be traceable. We will be happy to consider code for
22 * inclusion in the official distribution, but derived work must not
23 * be called official GROMACS. Details are found in the README & COPYING
24 * files - if they are missing, get the official version at www.gromacs.org.
26 * To help us fund GROMACS development, we humbly ask that you cite
27 * the papers on the package - you can find them in the top README file.
29 * For more info, check our website at http://www.gromacs.org
32 * Gallium Rubidium Oxygen Manganese Argon Carbon Silicon
36 * Header definitions for the standard LAPACK library.
38 * This is the subset of LAPACK routines used for the
39 * linear algebra operations in Gromacs. Most of the execution time
40 * will be spent in the BLAS routines, which you hopefully have an
41 * optimized version of. Gromacs includes reference implementations
42 * of both BLAS and LAPACK so it compiles everywhere, but you should
43 * really try to find a vendor or otherwise optimized version at least
44 * of BLAS for better performance.
46 * Do NOT use this code for other purposes - we only provide this as a
47 * simple fallback/reference implementation when no optimized BLAS
48 * is present. If you need an implementation for your own code
49 * there are several much faster versions out there.
51 * All routines are compatible with the LAPACK/BLAS reference implementations,
52 * meaning they assume fortran-style matrix row/column organization.
54 * There is plenty of documentation for these routines available
55 * at http://www.netlib.org/lapack , so there is no point in repeating
67 /* Suppress Cygwin compiler warnings from using newlib version of
79 /* Double precision */
82 F77_FUNC(dbdsdc,DBDSDC)(const char *uplo, const char *compq, int *n, double *d, double *e, double *u,
83 int *ldu, double *vt, int *ldvt, double *q, int *iq, double *work,
84 int *iwork, int *info);
87 F77_FUNC(dgetf2,DGETF2)(int *m, int *n, double *a, int *lda, int *ipiv, int *info);
90 F77_FUNC(dlamrg,DLAMRG)(int *n1, int *n2, double *a, int *dtrd1, int *dtrd2, int *index);
93 F77_FUNC(dlarnv,DLARNV)(int *idist, int *iseed, int *n, double *x);
96 F77_FUNC(dlasd0,DLASD0)(int *n, int *sqre, double *d, double *e, double *u,
97 int *ldu, double *vt, int *ldvt, int *smlsiz, int *iwork,
98 double *work, int *info);
101 F77_FUNC(dlasda,DLASDA)(int *icompq, int *smlsiz, int *n, int *sqre, double *d, double *e,
102 double *u, int *ldu, double *vt, int *k, double *difl, double *difr,
103 double *z, double *poles, int *givptr, int *givcol, int *ldgcol,
104 int *perm, double *givnum, double *c, double *s,
105 double *work, int *iwork, int *info);
108 F77_FUNC(dlasq6,DLASQ6)(int *i0, int *n0, double *z, int *pp, double *dmin, double *dmin1,
109 double *dmin2, double *dn, double *dnm1, double *dnm2);
112 F77_FUNC(dorgl2,DORGL2)(int *m, int *n, int *k, double *a, int *lda,
113 double *tau, double *work, int *info);
116 F77_FUNC(dbdsqr,DBDSQR)(const char *uplo, int *n, int *ncvt, int *nru, int *ncc, double *d,
117 double *e, double *vt, int *ldvt, double *u, int *ldu,
118 double *c, int *ldc, double *work, int *info);
121 F77_FUNC(dgetrf,DGETRF)(int *m, int *n, double *a, int *lda, int *ipiv, int *info);
124 F77_FUNC(dgetri,DGETRI)(int *n, double *a, int *lda, int *ipiv, double *work,
125 int *lwork, int *info);
128 F77_FUNC(dgetrs,DGETRS)(const char *trans, int *n, int *nrhs, double *a, int *lda, int *ipiv,
129 double *b, int *ldb, int *info);
132 F77_FUNC(dtrtri,DTRTRI)(const char *uplo, const char *diag, int *n, double *a, int *lda, int *info);
135 F77_FUNC(dtrti2,DTRTI2)(const char *uplo, const char *diag, int *n, double *a, int *lda, int *info);
138 F77_FUNC(dlange,DLANGE)(const char *norm, int *m, int *n, double *a, int *lda, double *work);
141 F77_FUNC(dlarrbx,DLARRBX)(int *n, double *d, double *l, double *ld, double *lld, int *ifirst,
142 int *ilast, double *rtol1, double *rtol2, int *offset, double *w,
143 double *wgap, double *werr, double *work, int *iwork, int *info);
146 F77_FUNC(dlasd1,DLASD1)(int *nl, int *nr, int *sqre, double *d, double *alpha, double *beta,
147 double *u, int *ldu, double *vt, int *ldvt, int *idxq, int *iwork,
148 double *work, int *info);
151 F77_FUNC(dlasdq,DLASDQ)(const char *uplo, int *sqre, int *n, int *ncvt, int *nru, int *ncc,
152 double *d, double *e, double *vt, int *ldvt, double *u, int *ldu,
153 double *c, int *ldc, double *work, int *info);
156 F77_FUNC(dlasr,DLASR)(const char *side, const char *pivot, const char *direct, int *m, int *n, double *c,
157 double *s, double *a, int *lda);
160 F77_FUNC(dorglq,DORGLQ)(int *m, int *n, int *k, double *a, int *lda,
161 double *tau, double *work, int *lwork, int *info);
164 F77_FUNC(dormtr,DORMTR)(const char *side, const char *uplo, const char *trans, int *m, int *n, double *a,
165 int *lda, double *tau, double *c, int *ldc,
166 double *work, int *lwork, int *info);
169 F77_FUNC(dgebd2,DGEBD2)(int *m, int *n, double *a, int *lda, double *d, double *e,
170 double *tauq, double *taup, double *work, int *info);
173 F77_FUNC(dlabrd,DLABRD)(int *m, int *n, int *nb, double *a, int *lda, double *d,
174 double *e, double *tauq, double *taup, double *x,
175 int *ldx, double *y, int *ldy);
178 F77_FUNC(dlanst,DLANST)(const char *norm, int *n, double *d, double *e);
181 F77_FUNC(dlansy,DLANSY)(const char *norm, const char *uplo, int *n, double *a, int *lda, double *work);
184 F77_FUNC(dlarrex,DLARREX)(const char *range, int *n, double *vl, double *vu, int *il, int *iu,
185 double *d, double *e, double *tol, int *nsplit,
186 int *isplit, int *m, double *w, int *iblock, int *indexw,
187 double *gersch, double *work, int *iwork, int *info);
190 F77_FUNC(dlasd2,DLASD2)(int *nl, int *nr, int *sqre, int *k, double *d, double *z,
191 double *alpha, double *beta, double *u, int *ldu, double *vt,
192 int *ldvt, double *dsigma, double *u2, int *ldu2, double *vt2,
193 int *ldvt2, int *idxp, int *idx, int *idxc,
194 int *idxq, int *coltyp, int *info);
197 F77_FUNC(dlasdt,DLASDT)(int *n, int *lvl, int *nd, int *inode, int *ndiml,
198 int *ndimr, int *msub);
201 F77_FUNC(dlasrt,DLASRT)(const char *id, int *n, double *d, int *info);
204 F77_FUNC(dlasrt2,DLASRT2)(const char *id, int *n, double *d, int *key, int *info);
207 F77_FUNC(ilasrt2,ILASRT2)(const char *id, int *n, int *d, int *key, int *info);
210 F77_FUNC(dorgqr,DORGQR)(int *m, int *n, int *k, double *a, int *lda, double *tau,
211 double *work, int *lwork, int *info);
214 F77_FUNC(dstebz,DSTEBZ)(const char *range, const char *order, int *n, double *vl, double *vu,
215 int *il, int *iu, double *abstol, double *d, double *e,
216 int *m, int *nsplit, double *w, int *iblock, int *isplit,
217 double *work, int *iwork, int *info);
220 F77_FUNC(dsteqr,DSTEQR)(const char *compz, int *n, double *d__, double *e,
221 double *z__, int *ldz, double *work, int *info);
224 F77_FUNC(dgebrd,DGEBRD)(int *m, int *n, double *a, int *lda, double *d, double *e,
225 double *tauq, double *taup, double *work, int *lwork, int *info);
228 F77_FUNC(dlacpy,DLACPY)(const char *uplo, int *m, int *n, double *a, int *lda, double *b, int *ldb);
231 F77_FUNC(dlapy2,DLAPY2)(double * x, double * y);
235 F77_FUNC(dlarrfx,DLARRFX)(int *n, double *d, double *l, double *ld, double *lld, int *ifirst,
236 int *ilast, double *w, double *sigma, double *dplus, double *lplus,
237 double *work, int *info);
240 F77_FUNC(dlasd3,DLASD3)(int *nl, int *nr, int *sqre, int *k, double *d, double *q, int *ldq,
241 double *dsigma, double *u, int *ldu, double *u2, int *ldu2,
242 double *vt, int *ldvt, double *vt2, int *ldvt2, int *idxc,
243 int *ctot, double *z, int *info);
246 F77_FUNC(dlaset,DLASET)(const char *uplo, int *m, int *n, double *alpha,
247 double *beta, double *a, int *lda);
250 F77_FUNC(dlassq,DLASSQ)(int *n, double *x, int *incx, double *scale, double *sumsq);
253 F77_FUNC(dorm2l,DORM2L)(const char *side, const char *trans, int *m, int *n, int *k, double *a, int *lda,
254 double *tau, double *c, int *ldc, double *work, int *info);
257 F77_FUNC(dstegr,DSTEGR)(const char *jobz, const char *range, int *n, double *d, double *e, double *vl,
258 double *vu, int *il, int *iu, double *abstol, int *m, double *w,
259 double *z, int *ldz, int *isuppz, double *work,
260 int *lwork, int *iwork, int *liwork, int *info);
263 F77_FUNC(ssteqr,SSTEQR)(const char *compz, int *n, float *d__, float *e,
264 float *z__, int *ldz, float *work, int *info);
267 F77_FUNC(dgelq2,DGELQ2)(int *m, int *n, double *a, int *lda, double *tau, double *work, int *info);
270 F77_FUNC(dlae2,DLAE2)(double *a, double *b, double *c, double *rt1, double *rt2);
273 F77_FUNC(dlaev2,DLAEV2)(double *a, double *b, double *c, double *rt1, double *rt2,
274 double *cs1, double *cs2);
277 F77_FUNC(dlar1vx,DLAR1VX)(int *n, int *b1, int *bn, double *sigma, double *d, double *l, double *ld,
278 double *lld, double *eval, double *gersch, double *z, double *ztz, double *mingma,
279 int *r, int *isuppz, double *work);
282 F77_FUNC(dlarrvx,DLARRVX)(int *n, double *d, double *l, int *isplit, int *m, double *w,
283 int *iblock, int *indexw, double *gersch, double *tol, double *z, int *ldz,
284 int *isuppz, double *work, int *iwork, int *info);
287 F77_FUNC(dlasd4,DLASD4)(int *n, int *i, double *d, double *z, double *delta,
288 double *rho, double *sigma, double *work, int *info);
291 F77_FUNC(dlasq1,DLASQ1)(int *n, double *d, double *e, double *work, int *info);
295 F77_FUNC(dlasv2,DLASV2)(double *f, double *g, double *h, double *ssmin, double *ssmax,
296 double *snr, double *csr, double *snl, double *csl);
299 F77_FUNC(dorm2r,DORM2R)(const char *side, const char *trans, int *m, int *n, int *k, double *a,
300 int *lda, double *tau, double *c, int *ldc, double *work, int *info);
303 F77_FUNC(dstein,DSTEIN)(int *n, double *d, double *e, int *m, double *w, int *iblock, int *isplit,
304 double *z, int *ldz, double *work, int *iwork, int *ifail, int *info);
307 F77_FUNC(dgelqf,DGELQF)(int *m, int *n, double *a, int *lda, double *tau,
308 double *work, int *lwork, int *info);
311 F77_FUNC(dlaebz,DLAEBZ)(int *ijob, int *nitmax, int *n, int *mmax, int *minp, int *nbmin,
312 double *abstol, double *reltol, double *pivmin, double *d, double *e,
313 double *e2, int *nval, double *ab, double *c, int *mout, int *nab,
314 double *work, int *iwork, int *info);
317 F77_FUNC(dlarf,DLARF)(const char *side, int *m, int *n, double *v, int *incv, double *tau,
318 double *c, int *ldc, double *work);
321 F77_FUNC(dlartg,DLARTG)(double *f, double *g, double *cs, double *sn, double *r);
324 F77_FUNC(dlasd5,DLASD5)(int *i, double *d, double *z, double *delta,
325 double *rho, double *dsigma, double *work);
328 F77_FUNC(dlasq2,DLASQ2)(int *n, double *z, int *info);
331 F77_FUNC(dlasq3,DLASQ3)(int *i0, int *n0, double *z, int *pp, double *dmin,
332 double *sigma, double *desig, double *qmax, int *nfail,
333 int *iter, int *ndiv, int *ieee);
336 F77_FUNC(dlaswp,DLASWP)(int *n, double *a, int *lda, int *k1, int *k2, int *ipiv, int *incx);
339 F77_FUNC(dormbr,DORMBR)(const char *vect, const char *side, const char *trans, int *m, int *n, int *k,
340 double *a, int *lda, double *tau, double *c, int *ldc, double *work,
341 int *lwork, int *info);
344 F77_FUNC(dsterf,DSTERF)(int *n, double *d, double *e, int *info);
347 F77_FUNC(dgeqr2,DGEQR2)(int *m, int *n, double *a, int *lda, double *tau,
348 double *work, int *info);
351 F77_FUNC(dlaed6,DLAED6)(int *kniter, int *orgati, double *rho, double *d,
352 double *z, double *finit, double *tau, int *info);
355 F77_FUNC(dlarfb,DLARFB)(const char *side, const char *trans, const char *direct, const char *storev, int *m, int *n,
356 int *k, double *v, int *ldv, double *t, int *ldt, double *c,
357 int *ldc, double *work, int *ldwork);
360 F77_FUNC(dlaruv,DLARUV)(int *iseed, int *n, double *x);
363 F77_FUNC(dlasd6,DLASD6)(int *icompq, int *nl, int *nr, int *sqre, double *d, double *vf,
364 double *vl, double *alpha, double *beta, int *idxq, int *perm,
365 int *givptr, int *givcol, int *ldgcol, double *givnum, int *ldgnum,
366 double *poles, double *difl, double *difr, double *z, int *k,
367 double *c, double *s, double *work, int *iwork, int *info);
370 F77_FUNC(dlatrd,DLATRD)(const char *uplo, int *n, int *nb, double *a, int *lda, double *e,
371 double * tau, double *w, int *ldw);
374 F77_FUNC(dorml2,DORML2)(const char *side, const char *trans, int *m, int *n, int *k, double *a,
375 int *lda, double *tau, double *c, int *ldc, double *work, int *info);
378 F77_FUNC(dstevr,DSTEVR)(const char *jobz, const char *range, int *n, double *d, double *e, double *vl,
379 double *vu, int *il, int *iu, double *abstol, int *m, double *w,
380 double *z, int *ldz, int *isuppz, double *work,
381 int *lwork, int *iwork, int *liwork, int *info);
384 F77_FUNC(dsytrd,DSYTRD)(const char *uplo, int *n, double * a, int *lda, double *d,
385 double *e, double *tau, double *work, int *lwork, int *info);
388 F77_FUNC(dsyevr,DSYEVR)(const char *jobz, const char *range, const char *uplo, int *n,
389 double *a, int *lda, double *vl, double *vu, int *
390 il, int *iu, double *abstol, int *m, double *w,
391 double *z__, int *ldz, int *isuppz, double *work,
392 int *lwork, int *iwork, int *liwork, int *info);
395 F77_FUNC(dormql,DORMQL)(const char *side, const char *trans, int *m, int *n,
396 int *k, double *a, int *lda, double *tau, double *
397 c, int *ldc, double *work, int *lwork, int *info);
400 F77_FUNC(dormqr,DORMQR)(const char *side, const char *trans, int *m, int *n, int *k, double *a,
401 int *lda, double *tau, double *c, int *ldc,
402 double *work, int *lwork, int *info);
405 F77_FUNC(dorgbr,DORGBR)(const char *vect, int *m, int *n, int *k, double *a, int *lda,
406 double *tau, double *work, int *lwork, int *info);
409 F77_FUNC(dlasq5,DLASQ5)(int *i0, int *n0, double *z, int *pp, double *tau, double *dmin,
410 double *dmin1, double *dmin2, double *dn, double *dnm1,
411 double *dnm2, int *ieee);
414 F77_FUNC(dlasd8,DLASD8)(int *icompq, int *k, double *d, double *z, double *vf, double *vl,
415 double *difl, double *difr, int *lddifr, double *dsigma,
416 double *work, int *info);
419 F77_FUNC(dlascl,DLASCL)(const char *type, int *kl, int *ku, double *cfrom, double *cto, int *m,
420 int *n, double *a, int *lda, int *info);
423 F77_FUNC(dlarft,DLARFT)(const char *direct, const char *storev, int *n, int *k, double *v,
424 int *ldv, double *tau, double *t, int *ldt);
427 F77_FUNC(dlagts,DLAGTS)(int *job, int *n, double *a, double *b, double *c, double *d,
428 int *in, double *y, double *tol, int *info);
431 F77_FUNC(dgesdd,DGESDD)(const char *jobz, int *m, int *n, double *a, int *lda, double *s, double *u,
432 int *ldu, double *vt, int *ldvt, double *work, int *lwork,
433 int *iwork, int *info);
436 F77_FUNC(dsytd2,DSYTD2)(const char *uplo, int *n, double *a, int *lda, double *d,
437 double *e, double *tau, int *info);
440 F77_FUNC(dormlq,DORMLQ)(const char *side, const char *trans, int *m, int *n, int *k, double *a, int *lda,
441 double *tau, double *c, int *ldc, double *work, int *lwork, int *info);
444 F77_FUNC(dorg2r,DORG2R)(int *m, int *n, int *k, double *a, int *lda, double *tau,
445 double *work, int *info);
448 F77_FUNC(dlasq4,DLASQ4)(int *i0, int *n0, double *z, int *pp, int *n0in, double *dmin,
449 double *dmin1, double *dmin2, double *dn, double *dn1,
450 double *dn2, double *tau, int *ttype);
453 F77_FUNC(dlasd7,DLASD7)(int *icompq, int *nl, int *nr, int *sqre, int *k, double *d, double *z,
454 double *zw, double *vf, double *vfw, double *vl, double *vlw,
455 double *alpha, double *beta, double *dsigma, int *idx, int *idxp,
456 int *idxq, int *perm, int *givptr, int *givcol, int *ldgcol,
457 double *givnum, int *ldgnum, double *c, double *s, int *info);
460 F77_FUNC(dlas2,DLAS2)(double *f, double *g, double *h, double *ssmin, double *ssmax);
463 F77_FUNC(dlarfg,DLARFG)(int *n, double *alpha, double *x, int *incx, double *tau);
466 F77_FUNC(dlagtf,DLAGTF)(int *n, double *a, double *lambda, double *b, double *c,
467 double *tol, double *d, int *in, int *info);
470 F77_FUNC(dgeqrf,DGEQRF)(int *m, int *n, double *a, int *lda, double *tau,
471 double *work, int *lwork, int *info);
475 /* Single precision */
478 F77_FUNC(sbdsdc,SBDSDC)(const char *uplo, const char *compq, int *n, float *d, float *e, float *u,
479 int *ldu, float *vt, int *ldvt, float *q, int *iq, float *work,
480 int *iwork, int *info);
483 F77_FUNC(sgetf2,SGETF2)(int *m, int *n, float *a, int *lda, int *ipiv, int *info);
486 F77_FUNC(slamrg,SLAMRG)(int *n1, int *n2, float *a, int *dtrd1, int *dtrd2, int *index);
489 F77_FUNC(slarnv,SLARNV)(int *idist, int *iseed, int *n, float *x);
492 F77_FUNC(slasd0,SLASD0)(int *n, int *sqre, float *d, float *e, float *u,
493 int *ldu, float *vt, int *ldvt, int *smlsiz, int *iwork,
494 float *work, int *info);
497 F77_FUNC(slasda,SLASDA)(int *icompq, int *smlsiz, int *n, int *sqre, float *d, float *e,
498 float *u, int *ldu, float *vt, int *k, float *difl, float *difr,
499 float *z, float *poles, int *givptr, int *givcol, int *ldgcol,
500 int *perm, float *givnum, float *c, float *s,
501 float *work, int *iwork, int *info);
504 F77_FUNC(slasq6,SLASQ6)(int *i0, int *n0, float *z, int *pp, float *dmin, float *dmin1,
505 float *dmin2, float *dn, float *dnm1, float *dnm2);
508 F77_FUNC(sorgl2,SORGL2)(int *m, int *n, int *k, float *a, int *lda,
509 float *tau, float *work, int *info);
512 F77_FUNC(sbdsqr,SBDSQR)(const char *uplo, int *n, int *ncvt, int *nru, int *ncc, float *d,
513 float *e, float *vt, int *ldvt, float *u, int *ldu,
514 float *c, int *ldc, float *work, int *info);
517 F77_FUNC(sgetrf,SGETRF)(int *m, int *n, float *a, int *lda, int *ipiv, int *info);
520 F77_FUNC(sgetri,SGETRI)(int *n, float *a, int *lda, int *ipiv, float *work,
521 int *lwork, int *info);
524 F77_FUNC(sgetrs,SGETRS)(const char *trans, int *n, int *nrhs, float *a, int *lda, int *ipiv,
525 float *b, int *ldb, int *info);
528 F77_FUNC(strtri,STRTRI)(const char *uplo, const char *diag, int *n, float *a, int *lda, int *info);
531 F77_FUNC(strti2,STRTI2)(const char *uplo, const char *diag, int *n, float *a, int *lda, int *info);
534 F77_FUNC(slange,SLANGE)(const char *norm, int *m, int *n, float *a, int *lda, float *work);
537 F77_FUNC(slarrbx,SLARRBX)(int *n, float *d, float *l, float *ld, float *lld, int *ifirst,
538 int *ilast, float *rtol1, float *rtol2, int *offset, float *w,
539 float *wgap, float *werr, float *work, int *iwork, int *info);
542 F77_FUNC(slasd1,SLASD1)(int *nl, int *nr, int *sqre, float *d, float *alpha, float *beta,
543 float *u, int *ldu, float *vt, int *ldvt, int *idxq, int *iwork,
544 float *work, int *info);
547 F77_FUNC(slasdq,SLASDQ)(const char *uplo, int *sqre, int *n, int *ncvt, int *nru, int *ncc,
548 float *d, float *e, float *vt, int *ldvt, float *u, int *ldu,
549 float *c, int *ldc, float *work, int *info);
552 F77_FUNC(slasr,SLASR)(const char *side, const char *pivot, const char *direct, int *m, int *n, float *c,
553 float *s, float *a, int *lda);
556 F77_FUNC(sorglq,SORGLQ)(int *m, int *n, int *k, float *a, int *lda,
557 float *tau, float *work, int *lwork, int *info);
560 F77_FUNC(sormtr,SORMTR)(const char *side, const char *uplo, const char *trans, int *m, int *n, float *a,
561 int *lda, float *tau, float *c, int *ldc,
562 float *work, int *lwork, int *info);
565 F77_FUNC(sgebd2,SGEBD2)(int *m, int *n, float *a, int *lda, float *d, float *e,
566 float *tauq, float *taup, float *work, int *info);
569 F77_FUNC(slabrd,SLABRD)(int *m, int *n, int *nb, float *a, int *lda, float *d,
570 float *e, float *tauq, float *taup, float *x,
571 int *ldx, float *y, int *ldy);
574 F77_FUNC(slanst,SLANST)(const char *norm, int *n, float *d, float *e);
577 F77_FUNC(slansy,SLANSY)(const char *norm, const char *uplo, int *n, float *a, int *lda, float *work);
580 F77_FUNC(slarrex,SLARREX)(const char *range, int *n, float *vl, float *vu, int *il, int *iu,
581 float *d, float *e, float *tol, int *nsplit,
582 int *isplit, int *m, float *w, int *iblock, int *indexw,
583 float *gersch, float *work, int *iwork, int *info);
586 F77_FUNC(slasd2,SLASD2)(int *nl, int *nr, int *sqre, int *k, float *d, float *z,
587 float *alpha, float *beta, float *u, int *ldu, float *vt,
588 int *ldvt, float *dsigma, float *u2, int *ldu2, float *vt2,
589 int *ldvt2, int *idxp, int *idx, int *idxc,
590 int *idxq, int *coltyp, int *info);
593 F77_FUNC(slasdt,SLASDT)(int *n, int *lvl, int *nd, int *inode, int *ndiml,
594 int *ndimr, int *msub);
597 F77_FUNC(slasrt,SLASRT)(const char *id, int *n, float *d, int *info);
600 F77_FUNC(slasrt2,SLASRT2)(const char *id, int *n, float *d, int *key, int *info);
603 F77_FUNC(sorgqr,SORGQR)(int *m, int *n, int *k, float *a, int *lda, float *tau,
604 float *work, int *lwork, int *info);
607 F77_FUNC(sstebz,SSTEBZ)(const char *range, const char *order, int *n, float *vl, float *vu,
608 int *il, int *iu, float *abstol, float *d, float *e,
609 int *m, int *nsplit, float *w, int *iblock, int *isplit,
610 float *work, int *iwork, int *info);
613 F77_FUNC(sgebrd,SGEBRD)(int *m, int *n, float *a, int *lda, float *d, float *e,
614 float *tauq, float *taup, float *work, int *lwork, int *info);
617 F77_FUNC(slacpy,SLACPY)(const char *uplo, int *m, int *n, float *a, int *lda, float *b, int *ldb);
620 F77_FUNC(slapy2,SLAPY2)(float * x, float * y);
623 F77_FUNC(slarrfx,SLARRFX)(int *n, float *d, float *l, float *ld, float *lld, int *ifirst,
624 int *ilast, float *w, float *sigma, float *dplus, float *lplus,
625 float *work, int *info);
628 F77_FUNC(slasd3,SLASD3)(int *nl, int *nr, int *sqre, int *k, float *d, float *q, int *ldq,
629 float *dsigma, float *u, int *ldu, float *u2, int *ldu2,
630 float *vt, int *ldvt, float *vt2, int *ldvt2, int *idxc,
631 int *ctot, float *z, int *info);
634 F77_FUNC(slaset,SLASET)(const char *uplo, int *m, int *n, float *alpha,
635 float *beta, float *a, int *lda);
638 F77_FUNC(slassq,SLASSQ)(int *n, float *x, int *incx, float *scale, float *sumsq);
641 F77_FUNC(sorm2l,SORM2L)(const char *side, const char *trans, int *m, int *n, int *k, float *a, int *lda,
642 float *tau, float *c, int *ldc, float *work, int *info);
645 F77_FUNC(sstegr,SSTEGR)(const char *jobz, const char *range, int *n, float *d, float *e, float *vl,
646 float *vu, int *il, int *iu, float *abstol, int *m, float *w,
647 float *z, int *ldz, int *isuppz, float *work,
648 int *lwork, int *iwork, int *liwork, int *info);
651 F77_FUNC(sgelq2,SGELQ2)(int *m, int *n, float *a, int *lda, float *tau, float *work, int *info);
654 F77_FUNC(slae2,SLAE2)(float *a, float *b, float *c, float *rt1, float *rt2);
657 F77_FUNC(slaev2,SLAEV2)(float *a, float *b, float *c, float *rt1, float *rt2,
658 float *cs1, float *cs2);
661 F77_FUNC(slar1vx,SLAR1VX)(int *n, int *b1, int *bn, float *sigma, float *d, float *l, float *ld,
662 float *lld, float *eval, float *gersch, float *z, float *ztz, float *mingma,
663 int *r, int *isuppz, float *work);
666 F77_FUNC(slarrvx,SLARRVX)(int *n, float *d, float *l, int *isplit, int *m, float *w,
667 int *iblock, int *indexw, float *gersch, float *tol, float *z, int *ldz,
668 int *isuppz, float *work, int *iwork, int *info);
671 F77_FUNC(slasd4,SLASD4)(int *n, int *i, float *d, float *z, float *delta,
672 float *rho, float *sigma, float *work, int *info);
675 F77_FUNC(slasq1,SLASQ1)(int *n, float *d, float *e, float *work, int *info);
679 F77_FUNC(slasv2,SLASV2)(float *f, float *g, float *h, float *ssmin, float *ssmax,
680 float *snr, float *csr, float *snl, float *csl);
683 F77_FUNC(sorm2r,SORM2R)(const char *side, const char *trans, int *m, int *n, int *k, float *a,
684 int *lda, float *tau, float *c, int *ldc, float *work, int *info);
687 F77_FUNC(sstein,SSTEIN)(int *n, float *d, float *e, int *m, float *w, int *iblock, int *isplit,
688 float *z, int *ldz, float *work, int *iwork, int *ifail, int *info);
691 F77_FUNC(sgelqf,SGELQF)(int *m, int *n, float *a, int *lda, float *tau,
692 float *work, int *lwork, int *info);
695 F77_FUNC(slaebz,SLAEBZ)(int *ijob, int *nitmax, int *n, int *mmax, int *minp, int *nbmin,
696 float *abstol, float *reltol, float *pivmin, float *d, float *e,
697 float *e2, int *nval, float *ab, float *c, int *mout, int *nab,
698 float *work, int *iwork, int *info);
701 F77_FUNC(slarf,SLARF)(const char *side, int *m, int *n, float *v, int *incv, float *tau,
702 float *c, int *ldc, float *work);
705 F77_FUNC(slartg,SLARTG)(float *f, float *g, float *cs, float *sn, float *r);
708 F77_FUNC(slasd5,SLASD5)(int *i, float *d, float *z, float *delta,
709 float *rho, float *dsigma, float *work);
712 F77_FUNC(slasq2,SLASQ2)(int *n, float *z, int *info);
715 F77_FUNC(slasq3,SLASQ3)(int *i0, int *n0, float *z, int *pp, float *dmin,
716 float *sigma, float *desig, float *qmax, int *nfail,
717 int *iter, int *ndiv, int *ieee);
720 F77_FUNC(slaswp,SLASWP)(int *n, float *a, int *lda, int *k1, int *k2, int *ipiv, int *incx);
723 F77_FUNC(sormbr,SORMBR)(const char *vect, const char *side, const char *trans, int *m, int *n, int *k,
724 float *a, int *lda, float *tau, float *c, int *ldc, float *work,
725 int *lwork, int *info);
728 F77_FUNC(ssterf,SSTERF)(int *n, float *d, float *e, int *info);
731 F77_FUNC(sgeqr2,SGEQR2)(int *m, int *n, float *a, int *lda, float *tau,
732 float *work, int *info);
735 F77_FUNC(slaed6,SLAED6)(int *kniter, int *orgati, float *rho, float *d,
736 float *z, float *finit, float *tau, int *info);
739 F77_FUNC(slarfb,SLARFB)(const char *side, const char *trans, const char *direct, const char *storev, int *m, int *n,
740 int *k, float *v, int *ldv, float *t, int *ldt, float *c,
741 int *ldc, float *work, int *ldwork);
744 F77_FUNC(slaruv,SLARUV)(int *iseed, int *n, float *x);
747 F77_FUNC(slasd6,SLASD6)(int *icompq, int *nl, int *nr, int *sqre, float *d, float *vf,
748 float *vl, float *alpha, float *beta, int *idxq, int *perm,
749 int *givptr, int *givcol, int *ldgcol, float *givnum, int *ldgnum,
750 float *poles, float *difl, float *difr, float *z, int *k,
751 float *c, float *s, float *work, int *iwork, int *info);
754 F77_FUNC(slatrd,SLATRD)(const char *uplo, int *n, int *nb, float *a, int *lda, float *e,
755 float * tau, float *w, int *ldw);
758 F77_FUNC(sorml2,SORML2)(const char *side, const char *trans, int *m, int *n, int *k, float *a,
759 int *lda, float *tau, float *c, int *ldc, float *work, int *info);
762 F77_FUNC(sstevr,SSTEVR)(const char *jobz, const char *range, int *n, float *d, float *e, float *vl,
763 float *vu, int *il, int *iu, float *abstol, int *m, float *w,
764 float *z, int *ldz, int *isuppz, float *work,
765 int *lwork, int *iwork, int *liwork, int *info);
768 F77_FUNC(ssytrd,SSYTRD)(const char *uplo, int *n, float * a, int *lda, float *d,
769 float *e, float *tau, float *work, int *lwork, int *info);
772 F77_FUNC(ssyevr,SSYEVR)(const char *jobz, const char *range, const char *uplo, int *n,
773 float *a, int *lda, float *vl, float *vu, int *
774 il, int *iu, float *abstol, int *m, float *w,
775 float *z__, int *ldz, int *isuppz, float *work,
776 int *lwork, int *iwork, int *liwork, int *info);
779 F77_FUNC(sormql,SORMQL)(const char *side, const char *trans, int *m, int *n,
780 int *k, float *a, int *lda, float *tau, float *
781 c, int *ldc, float *work, int *lwork, int *info);
784 F77_FUNC(sormqr,SORMQR)(const char *side, const char *trans, int *m, int *n, int *k, float *a,
785 int *lda, float *tau, float *c, int *ldc,
786 float *work, int *lwork, int *info);
789 F77_FUNC(sorgbr,SORGBR)(const char *vect, int *m, int *n, int *k, float *a, int *lda,
790 float *tau, float *work, int *lwork, int *info);
793 F77_FUNC(slasq5,SLASQ5)(int *i0, int *n0, float *z, int *pp, float *tau, float *dmin,
794 float *dmin1, float *dmin2, float *dn, float *dnm1,
795 float *dnm2, int *ieee);
798 F77_FUNC(slasd8,SLASD8)(int *icompq, int *k, float *d, float *z, float *vf, float *vl,
799 float *difl, float *difr, int *lddifr, float *dsigma,
800 float *work, int *info);
803 F77_FUNC(slascl,SLASCL)(const char *type, int *kl, int *ku, float *cfrom, float *cto, int *m,
804 int *n, float *a, int *lda, int *info);
807 F77_FUNC(slarft,SLARFT)(const char *direct, const char *storev, int *n, int *k, float *v,
808 int *ldv, float *tau, float *t, int *ldt);
811 F77_FUNC(slagts,SLAGTS)(int *job, int *n, float *a, float *b, float *c, float *d,
812 int *in, float *y, float *tol, int *info);
815 F77_FUNC(sgesdd,SGESDD)(const char *jobz, int *m, int *n, float *a, int *lda, float *s, float *u,
816 int *ldu, float *vt, int *ldvt, float *work, int *lwork,
817 int *iwork, int *info);
820 F77_FUNC(ssytd2,SSYTD2)(const char *uplo, int *n, float *a, int *lda, float *d,
821 float *e, float *tau, int *info);
824 F77_FUNC(sormlq,SORMLQ)(const char *side, const char *trans, int *m, int *n, int *k, float *a, int *lda,
825 float *tau, float *c, int *ldc, float *work, int *lwork, int *info);
828 F77_FUNC(sorg2r,SORG2R)(int *m, int *n, int *k, float *a, int *lda, float *tau,
829 float *work, int *info);
832 F77_FUNC(slasq4,SLASQ4)(int *i0, int *n0, float *z, int *pp, int *n0in, float *dmin,
833 float *dmin1, float *dmin2, float *dn, float *dn1,
834 float *dn2, float *tau, int *ttype);
837 F77_FUNC(slasd7,SLASD7)(int *icompq, int *nl, int *nr, int *sqre, int *k, float *d, float *z,
838 float *zw, float *vf, float *vfw, float *vl, float *vlw,
839 float *alpha, float *beta, float *dsigma, int *idx, int *idxp,
840 int *idxq, int *perm, int *givptr, int *givcol, int *ldgcol,
841 float *givnum, int *ldgnum, float *c, float *s, int *info);
844 F77_FUNC(slas2,SLAS2)(float *f, float *g, float *h, float *ssmin, float *ssmax);
847 F77_FUNC(slarfg,SLARFG)(int *n, float *alpha, float *x, int *incx, float *tau);
850 F77_FUNC(slagtf,SLAGTF)(int *n, float *a, float *lambda, float *b, float *c,
851 float *tol, float *d, int *in, int *info);
854 F77_FUNC(sgeqrf,SGEQRF)(int *m, int *n, float *a, int *lda, float *tau,
855 float *work, int *lwork, int *info);
864 #endif /* GMX_LAPACK_H */