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7 * Mark Abraham, David van der Spoel, Berk Hess, and Erik Lindahl,
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39 * Header definitions for the standard LAPACK library.
41 * This is the subset of LAPACK routines used for the
42 * linear algebra operations in Gromacs. Most of the execution time
43 * will be spent in the BLAS routines, which you hopefully have an
44 * optimized version of. Gromacs includes reference implementations
45 * of both BLAS and LAPACK so it compiles everywhere, but you should
46 * really try to find a vendor or otherwise optimized version at least
47 * of BLAS for better performance.
49 * Do NOT use this code for other purposes - we only provide this as a
50 * simple fallback/reference implementation when no optimized BLAS
51 * is present. If you need an implementation for your own code
52 * there are several much faster versions out there.
54 * All routines are compatible with the LAPACK/BLAS reference implementations,
55 * meaning they assume fortran-style matrix row/column organization.
57 * There is plenty of documentation for these routines available
58 * at http://www.netlib.org/lapack , so there is no point in repeating
70 /* Suppress Cygwin compiler warnings from using newlib version of
82 /* Double precision */
85 F77_FUNC(dbdsdc, DBDSDC) (const char *uplo, const char *compq, int *n, double *d, double *e, double *u,
86 int *ldu, double *vt, int *ldvt, double *q, int *iq, double *work,
87 int *iwork, int *info);
90 F77_FUNC(dgetf2, DGETF2) (int *m, int *n, double *a, int *lda, int *ipiv, int *info);
93 F77_FUNC(dlamrg, DLAMRG) (int *n1, int *n2, double *a, int *dtrd1, int *dtrd2, int *index);
96 F77_FUNC(dlarnv, DLARNV) (int *idist, int *iseed, int *n, double *x);
99 F77_FUNC(dlasd0, DLASD0) (int *n, int *sqre, double *d, double *e, double *u,
100 int *ldu, double *vt, int *ldvt, int *smlsiz, int *iwork,
101 double *work, int *info);
104 F77_FUNC(dlasda, DLASDA) (int *icompq, int *smlsiz, int *n, int *sqre, double *d, double *e,
105 double *u, int *ldu, double *vt, int *k, double *difl, double *difr,
106 double *z, double *poles, int *givptr, int *givcol, int *ldgcol,
107 int *perm, double *givnum, double *c, double *s,
108 double *work, int *iwork, int *info);
111 F77_FUNC(dlasq6, DLASQ6) (int *i0, int *n0, double *z, int *pp, double *dmin, double *dmin1,
112 double *dmin2, double *dn, double *dnm1, double *dnm2);
115 F77_FUNC(dorgl2, DORGL2) (int *m, int *n, int *k, double *a, int *lda,
116 double *tau, double *work, int *info);
119 F77_FUNC(dbdsqr, DBDSQR) (const char *uplo, int *n, int *ncvt, int *nru, int *ncc, double *d,
120 double *e, double *vt, int *ldvt, double *u, int *ldu,
121 double *c, int *ldc, double *work, int *info);
124 F77_FUNC(dgetrf, DGETRF) (int *m, int *n, double *a, int *lda, int *ipiv, int *info);
127 F77_FUNC(dgetri, DGETRI) (int *n, double *a, int *lda, int *ipiv, double *work,
128 int *lwork, int *info);
131 F77_FUNC(dgetrs, DGETRS) (const char *trans, int *n, int *nrhs, double *a, int *lda, int *ipiv,
132 double *b, int *ldb, int *info);
135 F77_FUNC(dtrtri, DTRTRI) (const char *uplo, const char *diag, int *n, double *a, int *lda, int *info);
138 F77_FUNC(dtrti2, DTRTI2) (const char *uplo, const char *diag, int *n, double *a, int *lda, int *info);
141 F77_FUNC(dlange, DLANGE) (const char *norm, int *m, int *n, double *a, int *lda, double *work);
144 F77_FUNC(dlarrbx, DLARRBX) (int *n, double *d, double *l, double *ld, double *lld, int *ifirst,
145 int *ilast, double *rtol1, double *rtol2, int *offset, double *w,
146 double *wgap, double *werr, double *work, int *iwork, int *info);
149 F77_FUNC(dlasd1, DLASD1) (int *nl, int *nr, int *sqre, double *d, double *alpha, double *beta,
150 double *u, int *ldu, double *vt, int *ldvt, int *idxq, int *iwork,
151 double *work, int *info);
154 F77_FUNC(dlasdq, DLASDQ) (const char *uplo, int *sqre, int *n, int *ncvt, int *nru, int *ncc,
155 double *d, double *e, double *vt, int *ldvt, double *u, int *ldu,
156 double *c, int *ldc, double *work, int *info);
159 F77_FUNC(dlasr, DLASR) (const char *side, const char *pivot, const char *direct, int *m, int *n, double *c,
160 double *s, double *a, int *lda);
163 F77_FUNC(dorglq, DORGLQ) (int *m, int *n, int *k, double *a, int *lda,
164 double *tau, double *work, int *lwork, int *info);
167 F77_FUNC(dormtr, DORMTR) (const char *side, const char *uplo, const char *trans, int *m, int *n, double *a,
168 int *lda, double *tau, double *c, int *ldc,
169 double *work, int *lwork, int *info);
172 F77_FUNC(dgebd2, DGEBD2) (int *m, int *n, double *a, int *lda, double *d, double *e,
173 double *tauq, double *taup, double *work, int *info);
176 F77_FUNC(dlabrd, DLABRD) (int *m, int *n, int *nb, double *a, int *lda, double *d,
177 double *e, double *tauq, double *taup, double *x,
178 int *ldx, double *y, int *ldy);
181 F77_FUNC(dlanst, DLANST) (const char *norm, int *n, double *d, double *e);
184 F77_FUNC(dlansy, DLANSY) (const char *norm, const char *uplo, int *n, double *a, int *lda, double *work);
187 F77_FUNC(dlarrex, DLARREX) (const char *range, int *n, double *vl, double *vu, int *il, int *iu,
188 double *d, double *e, double *tol, int *nsplit,
189 int *isplit, int *m, double *w, int *iblock, int *indexw,
190 double *gersch, double *work, int *iwork, int *info);
193 F77_FUNC(dlasd2, DLASD2) (int *nl, int *nr, int *sqre, int *k, double *d, double *z,
194 double *alpha, double *beta, double *u, int *ldu, double *vt,
195 int *ldvt, double *dsigma, double *u2, int *ldu2, double *vt2,
196 int *ldvt2, int *idxp, int *idx, int *idxc,
197 int *idxq, int *coltyp, int *info);
200 F77_FUNC(dlasdt, DLASDT) (int *n, int *lvl, int *nd, int *inode, int *ndiml,
201 int *ndimr, int *msub);
204 F77_FUNC(dlasrt, DLASRT) (const char *id, int *n, double *d, int *info);
207 F77_FUNC(dlasrt2, DLASRT2) (const char *id, int *n, double *d, int *key, int *info);
210 F77_FUNC(ilasrt2, ILASRT2) (const char *id, int *n, int *d, int *key, int *info);
213 F77_FUNC(dorgqr, DORGQR) (int *m, int *n, int *k, double *a, int *lda, double *tau,
214 double *work, int *lwork, int *info);
217 F77_FUNC(dstebz, DSTEBZ) (const char *range, const char *order, int *n, double *vl, double *vu,
218 int *il, int *iu, double *abstol, double *d, double *e,
219 int *m, int *nsplit, double *w, int *iblock, int *isplit,
220 double *work, int *iwork, int *info);
223 F77_FUNC(dsteqr, DSTEQR) (const char *compz, int *n, double *d__, double *e,
224 double *z__, int *ldz, double *work, int *info);
227 F77_FUNC(dgebrd, DGEBRD) (int *m, int *n, double *a, int *lda, double *d, double *e,
228 double *tauq, double *taup, double *work, int *lwork, int *info);
231 F77_FUNC(dlacpy, DLACPY) (const char *uplo, int *m, int *n, double *a, int *lda, double *b, int *ldb);
234 F77_FUNC(dlapy2, DLAPY2) (double * x, double * y);
238 F77_FUNC(dlarrfx, DLARRFX) (int *n, double *d, double *l, double *ld, double *lld, int *ifirst,
239 int *ilast, double *w, double *sigma, double *dplus, double *lplus,
240 double *work, int *info);
243 F77_FUNC(dlasd3, DLASD3) (int *nl, int *nr, int *sqre, int *k, double *d, double *q, int *ldq,
244 double *dsigma, double *u, int *ldu, double *u2, int *ldu2,
245 double *vt, int *ldvt, double *vt2, int *ldvt2, int *idxc,
246 int *ctot, double *z, int *info);
249 F77_FUNC(dlaset, DLASET) (const char *uplo, int *m, int *n, double *alpha,
250 double *beta, double *a, int *lda);
253 F77_FUNC(dlassq, DLASSQ) (int *n, double *x, int *incx, double *scale, double *sumsq);
256 F77_FUNC(dorm2l, DORM2L) (const char *side, const char *trans, int *m, int *n, int *k, double *a, int *lda,
257 double *tau, double *c, int *ldc, double *work, int *info);
260 F77_FUNC(dstegr, DSTEGR) (const char *jobz, const char *range, int *n, double *d, double *e, double *vl,
261 double *vu, int *il, int *iu, double *abstol, int *m, double *w,
262 double *z, int *ldz, int *isuppz, double *work,
263 int *lwork, int *iwork, int *liwork, int *info);
266 F77_FUNC(ssteqr, SSTEQR) (const char *compz, int *n, float *d__, float *e,
267 float *z__, int *ldz, float *work, int *info);
270 F77_FUNC(dgelq2, DGELQ2) (int *m, int *n, double *a, int *lda, double *tau, double *work, int *info);
273 F77_FUNC(dlae2, DLAE2) (double *a, double *b, double *c, double *rt1, double *rt2);
276 F77_FUNC(dlaev2, DLAEV2) (double *a, double *b, double *c, double *rt1, double *rt2,
277 double *cs1, double *cs2);
280 F77_FUNC(dlar1vx, DLAR1VX) (int *n, int *b1, int *bn, double *sigma, double *d, double *l, double *ld,
281 double *lld, double *eval, double *gersch, double *z, double *ztz, double *mingma,
282 int *r, int *isuppz, double *work);
285 F77_FUNC(dlarrvx, DLARRVX) (int *n, double *d, double *l, int *isplit, int *m, double *w,
286 int *iblock, int *indexw, double *gersch, double *tol, double *z, int *ldz,
287 int *isuppz, double *work, int *iwork, int *info);
290 F77_FUNC(dlasd4, DLASD4) (int *n, int *i, double *d, double *z, double *delta,
291 double *rho, double *sigma, double *work, int *info);
294 F77_FUNC(dlasq1, DLASQ1) (int *n, double *d, double *e, double *work, int *info);
298 F77_FUNC(dlasv2, DLASV2) (double *f, double *g, double *h, double *ssmin, double *ssmax,
299 double *snr, double *csr, double *snl, double *csl);
302 F77_FUNC(dorm2r, DORM2R) (const char *side, const char *trans, int *m, int *n, int *k, double *a,
303 int *lda, double *tau, double *c, int *ldc, double *work, int *info);
306 F77_FUNC(dstein, DSTEIN) (int *n, double *d, double *e, int *m, double *w, int *iblock, int *isplit,
307 double *z, int *ldz, double *work, int *iwork, int *ifail, int *info);
310 F77_FUNC(dgelqf, DGELQF) (int *m, int *n, double *a, int *lda, double *tau,
311 double *work, int *lwork, int *info);
314 F77_FUNC(dlaebz, DLAEBZ) (int *ijob, int *nitmax, int *n, int *mmax, int *minp, int *nbmin,
315 double *abstol, double *reltol, double *pivmin, double *d, double *e,
316 double *e2, int *nval, double *ab, double *c, int *mout, int *nab,
317 double *work, int *iwork, int *info);
320 F77_FUNC(dlarf, DLARF) (const char *side, int *m, int *n, double *v, int *incv, double *tau,
321 double *c, int *ldc, double *work);
324 F77_FUNC(dlartg, DLARTG) (double *f, double *g, double *cs, double *sn, double *r);
327 F77_FUNC(dlasd5, DLASD5) (int *i, double *d, double *z, double *delta,
328 double *rho, double *dsigma, double *work);
331 F77_FUNC(dlasq2, DLASQ2) (int *n, double *z, int *info);
334 F77_FUNC(dlasq3, DLASQ3) (int *i0, int *n0, double *z, int *pp, double *dmin,
335 double *sigma, double *desig, double *qmax, int *nfail,
336 int *iter, int *ndiv, int *ieee);
339 F77_FUNC(dlaswp, DLASWP) (int *n, double *a, int *lda, int *k1, int *k2, int *ipiv, int *incx);
342 F77_FUNC(dormbr, DORMBR) (const char *vect, const char *side, const char *trans, int *m, int *n, int *k,
343 double *a, int *lda, double *tau, double *c, int *ldc, double *work,
344 int *lwork, int *info);
347 F77_FUNC(dsterf, DSTERF) (int *n, double *d, double *e, int *info);
350 F77_FUNC(dgeqr2, DGEQR2) (int *m, int *n, double *a, int *lda, double *tau,
351 double *work, int *info);
354 F77_FUNC(dlaed6, DLAED6) (int *kniter, int *orgati, double *rho, double *d,
355 double *z, double *finit, double *tau, int *info);
358 F77_FUNC(dlarfb, DLARFB) (const char *side, const char *trans, const char *direct, const char *storev, int *m, int *n,
359 int *k, double *v, int *ldv, double *t, int *ldt, double *c,
360 int *ldc, double *work, int *ldwork);
363 F77_FUNC(dlaruv, DLARUV) (int *iseed, int *n, double *x);
366 F77_FUNC(dlasd6, DLASD6) (int *icompq, int *nl, int *nr, int *sqre, double *d, double *vf,
367 double *vl, double *alpha, double *beta, int *idxq, int *perm,
368 int *givptr, int *givcol, int *ldgcol, double *givnum, int *ldgnum,
369 double *poles, double *difl, double *difr, double *z, int *k,
370 double *c, double *s, double *work, int *iwork, int *info);
373 F77_FUNC(dlatrd, DLATRD) (const char *uplo, int *n, int *nb, double *a, int *lda, double *e,
374 double * tau, double *w, int *ldw);
377 F77_FUNC(dorml2, DORML2) (const char *side, const char *trans, int *m, int *n, int *k, double *a,
378 int *lda, double *tau, double *c, int *ldc, double *work, int *info);
381 F77_FUNC(dstevr, DSTEVR) (const char *jobz, const char *range, int *n, double *d, double *e, double *vl,
382 double *vu, int *il, int *iu, double *abstol, int *m, double *w,
383 double *z, int *ldz, int *isuppz, double *work,
384 int *lwork, int *iwork, int *liwork, int *info);
387 F77_FUNC(dsytrd, DSYTRD) (const char *uplo, int *n, double * a, int *lda, double *d,
388 double *e, double *tau, double *work, int *lwork, int *info);
391 F77_FUNC(dsyevr, DSYEVR) (const char *jobz, const char *range, const char *uplo, int *n,
392 double *a, int *lda, double *vl, double *vu, int *
393 il, int *iu, double *abstol, int *m, double *w,
394 double *z__, int *ldz, int *isuppz, double *work,
395 int *lwork, int *iwork, int *liwork, int *info);
398 F77_FUNC(dormql, DORMQL) (const char *side, const char *trans, int *m, int *n,
399 int *k, double *a, int *lda, double *tau, double *
400 c, int *ldc, double *work, int *lwork, int *info);
403 F77_FUNC(dormqr, DORMQR) (const char *side, const char *trans, int *m, int *n, int *k, double *a,
404 int *lda, double *tau, double *c, int *ldc,
405 double *work, int *lwork, int *info);
408 F77_FUNC(dorgbr, DORGBR) (const char *vect, int *m, int *n, int *k, double *a, int *lda,
409 double *tau, double *work, int *lwork, int *info);
412 F77_FUNC(dlasq5, DLASQ5) (int *i0, int *n0, double *z, int *pp, double *tau, double *dmin,
413 double *dmin1, double *dmin2, double *dn, double *dnm1,
414 double *dnm2, int *ieee);
417 F77_FUNC(dlasd8, DLASD8) (int *icompq, int *k, double *d, double *z, double *vf, double *vl,
418 double *difl, double *difr, int *lddifr, double *dsigma,
419 double *work, int *info);
422 F77_FUNC(dlascl, DLASCL) (const char *type, int *kl, int *ku, double *cfrom, double *cto, int *m,
423 int *n, double *a, int *lda, int *info);
426 F77_FUNC(dlarft, DLARFT) (const char *direct, const char *storev, int *n, int *k, double *v,
427 int *ldv, double *tau, double *t, int *ldt);
430 F77_FUNC(dlagts, DLAGTS) (int *job, int *n, double *a, double *b, double *c, double *d,
431 int *in, double *y, double *tol, int *info);
434 F77_FUNC(dgesdd, DGESDD) (const char *jobz, int *m, int *n, double *a, int *lda, double *s, double *u,
435 int *ldu, double *vt, int *ldvt, double *work, int *lwork,
436 int *iwork, int *info);
439 F77_FUNC(dsytd2, DSYTD2) (const char *uplo, int *n, double *a, int *lda, double *d,
440 double *e, double *tau, int *info);
443 F77_FUNC(dormlq, DORMLQ) (const char *side, const char *trans, int *m, int *n, int *k, double *a, int *lda,
444 double *tau, double *c, int *ldc, double *work, int *lwork, int *info);
447 F77_FUNC(dorg2r, DORG2R) (int *m, int *n, int *k, double *a, int *lda, double *tau,
448 double *work, int *info);
451 F77_FUNC(dlasq4, DLASQ4) (int *i0, int *n0, double *z, int *pp, int *n0in, double *dmin,
452 double *dmin1, double *dmin2, double *dn, double *dn1,
453 double *dn2, double *tau, int *ttype);
456 F77_FUNC(dlasd7, DLASD7) (int *icompq, int *nl, int *nr, int *sqre, int *k, double *d, double *z,
457 double *zw, double *vf, double *vfw, double *vl, double *vlw,
458 double *alpha, double *beta, double *dsigma, int *idx, int *idxp,
459 int *idxq, int *perm, int *givptr, int *givcol, int *ldgcol,
460 double *givnum, int *ldgnum, double *c, double *s, int *info);
463 F77_FUNC(dlas2, DLAS2) (double *f, double *g, double *h, double *ssmin, double *ssmax);
466 F77_FUNC(dlarfg, DLARFG) (int *n, double *alpha, double *x, int *incx, double *tau);
469 F77_FUNC(dlagtf, DLAGTF) (int *n, double *a, double *lambda, double *b, double *c,
470 double *tol, double *d, int *in, int *info);
473 F77_FUNC(dgeqrf, DGEQRF) (int *m, int *n, double *a, int *lda, double *tau,
474 double *work, int *lwork, int *info);
478 /* Single precision */
481 F77_FUNC(sbdsdc, SBDSDC) (const char *uplo, const char *compq, int *n, float *d, float *e, float *u,
482 int *ldu, float *vt, int *ldvt, float *q, int *iq, float *work,
483 int *iwork, int *info);
486 F77_FUNC(sgetf2, SGETF2) (int *m, int *n, float *a, int *lda, int *ipiv, int *info);
489 F77_FUNC(slamrg, SLAMRG) (int *n1, int *n2, float *a, int *dtrd1, int *dtrd2, int *index);
492 F77_FUNC(slarnv, SLARNV) (int *idist, int *iseed, int *n, float *x);
495 F77_FUNC(slasd0, SLASD0) (int *n, int *sqre, float *d, float *e, float *u,
496 int *ldu, float *vt, int *ldvt, int *smlsiz, int *iwork,
497 float *work, int *info);
500 F77_FUNC(slasda, SLASDA) (int *icompq, int *smlsiz, int *n, int *sqre, float *d, float *e,
501 float *u, int *ldu, float *vt, int *k, float *difl, float *difr,
502 float *z, float *poles, int *givptr, int *givcol, int *ldgcol,
503 int *perm, float *givnum, float *c, float *s,
504 float *work, int *iwork, int *info);
507 F77_FUNC(slasq6, SLASQ6) (int *i0, int *n0, float *z, int *pp, float *dmin, float *dmin1,
508 float *dmin2, float *dn, float *dnm1, float *dnm2);
511 F77_FUNC(sorgl2, SORGL2) (int *m, int *n, int *k, float *a, int *lda,
512 float *tau, float *work, int *info);
515 F77_FUNC(sbdsqr, SBDSQR) (const char *uplo, int *n, int *ncvt, int *nru, int *ncc, float *d,
516 float *e, float *vt, int *ldvt, float *u, int *ldu,
517 float *c, int *ldc, float *work, int *info);
520 F77_FUNC(sgetrf, SGETRF) (int *m, int *n, float *a, int *lda, int *ipiv, int *info);
523 F77_FUNC(sgetri, SGETRI) (int *n, float *a, int *lda, int *ipiv, float *work,
524 int *lwork, int *info);
527 F77_FUNC(sgetrs, SGETRS) (const char *trans, int *n, int *nrhs, float *a, int *lda, int *ipiv,
528 float *b, int *ldb, int *info);
531 F77_FUNC(strtri, STRTRI) (const char *uplo, const char *diag, int *n, float *a, int *lda, int *info);
534 F77_FUNC(strti2, STRTI2) (const char *uplo, const char *diag, int *n, float *a, int *lda, int *info);
537 F77_FUNC(slange, SLANGE) (const char *norm, int *m, int *n, float *a, int *lda, float *work);
540 F77_FUNC(slarrbx, SLARRBX) (int *n, float *d, float *l, float *ld, float *lld, int *ifirst,
541 int *ilast, float *rtol1, float *rtol2, int *offset, float *w,
542 float *wgap, float *werr, float *work, int *iwork, int *info);
545 F77_FUNC(slasd1, SLASD1) (int *nl, int *nr, int *sqre, float *d, float *alpha, float *beta,
546 float *u, int *ldu, float *vt, int *ldvt, int *idxq, int *iwork,
547 float *work, int *info);
550 F77_FUNC(slasdq, SLASDQ) (const char *uplo, int *sqre, int *n, int *ncvt, int *nru, int *ncc,
551 float *d, float *e, float *vt, int *ldvt, float *u, int *ldu,
552 float *c, int *ldc, float *work, int *info);
555 F77_FUNC(slasr, SLASR) (const char *side, const char *pivot, const char *direct, int *m, int *n, float *c,
556 float *s, float *a, int *lda);
559 F77_FUNC(sorglq, SORGLQ) (int *m, int *n, int *k, float *a, int *lda,
560 float *tau, float *work, int *lwork, int *info);
563 F77_FUNC(sormtr, SORMTR) (const char *side, const char *uplo, const char *trans, int *m, int *n, float *a,
564 int *lda, float *tau, float *c, int *ldc,
565 float *work, int *lwork, int *info);
568 F77_FUNC(sgebd2, SGEBD2) (int *m, int *n, float *a, int *lda, float *d, float *e,
569 float *tauq, float *taup, float *work, int *info);
572 F77_FUNC(slabrd, SLABRD) (int *m, int *n, int *nb, float *a, int *lda, float *d,
573 float *e, float *tauq, float *taup, float *x,
574 int *ldx, float *y, int *ldy);
577 F77_FUNC(slanst, SLANST) (const char *norm, int *n, float *d, float *e);
580 F77_FUNC(slansy, SLANSY) (const char *norm, const char *uplo, int *n, float *a, int *lda, float *work);
583 F77_FUNC(slarrex, SLARREX) (const char *range, int *n, float *vl, float *vu, int *il, int *iu,
584 float *d, float *e, float *tol, int *nsplit,
585 int *isplit, int *m, float *w, int *iblock, int *indexw,
586 float *gersch, float *work, int *iwork, int *info);
589 F77_FUNC(slasd2, SLASD2) (int *nl, int *nr, int *sqre, int *k, float *d, float *z,
590 float *alpha, float *beta, float *u, int *ldu, float *vt,
591 int *ldvt, float *dsigma, float *u2, int *ldu2, float *vt2,
592 int *ldvt2, int *idxp, int *idx, int *idxc,
593 int *idxq, int *coltyp, int *info);
596 F77_FUNC(slasdt, SLASDT) (int *n, int *lvl, int *nd, int *inode, int *ndiml,
597 int *ndimr, int *msub);
600 F77_FUNC(slasrt, SLASRT) (const char *id, int *n, float *d, int *info);
603 F77_FUNC(slasrt2, SLASRT2) (const char *id, int *n, float *d, int *key, int *info);
606 F77_FUNC(sorgqr, SORGQR) (int *m, int *n, int *k, float *a, int *lda, float *tau,
607 float *work, int *lwork, int *info);
610 F77_FUNC(sstebz, SSTEBZ) (const char *range, const char *order, int *n, float *vl, float *vu,
611 int *il, int *iu, float *abstol, float *d, float *e,
612 int *m, int *nsplit, float *w, int *iblock, int *isplit,
613 float *work, int *iwork, int *info);
616 F77_FUNC(sgebrd, SGEBRD) (int *m, int *n, float *a, int *lda, float *d, float *e,
617 float *tauq, float *taup, float *work, int *lwork, int *info);
620 F77_FUNC(slacpy, SLACPY) (const char *uplo, int *m, int *n, float *a, int *lda, float *b, int *ldb);
623 F77_FUNC(slapy2, SLAPY2) (float * x, float * y);
626 F77_FUNC(slarrfx, SLARRFX) (int *n, float *d, float *l, float *ld, float *lld, int *ifirst,
627 int *ilast, float *w, float *sigma, float *dplus, float *lplus,
628 float *work, int *info);
631 F77_FUNC(slasd3, SLASD3) (int *nl, int *nr, int *sqre, int *k, float *d, float *q, int *ldq,
632 float *dsigma, float *u, int *ldu, float *u2, int *ldu2,
633 float *vt, int *ldvt, float *vt2, int *ldvt2, int *idxc,
634 int *ctot, float *z, int *info);
637 F77_FUNC(slaset, SLASET) (const char *uplo, int *m, int *n, float *alpha,
638 float *beta, float *a, int *lda);
641 F77_FUNC(slassq, SLASSQ) (int *n, float *x, int *incx, float *scale, float *sumsq);
644 F77_FUNC(sorm2l, SORM2L) (const char *side, const char *trans, int *m, int *n, int *k, float *a, int *lda,
645 float *tau, float *c, int *ldc, float *work, int *info);
648 F77_FUNC(sstegr, SSTEGR) (const char *jobz, const char *range, int *n, float *d, float *e, float *vl,
649 float *vu, int *il, int *iu, float *abstol, int *m, float *w,
650 float *z, int *ldz, int *isuppz, float *work,
651 int *lwork, int *iwork, int *liwork, int *info);
654 F77_FUNC(sgelq2, SGELQ2) (int *m, int *n, float *a, int *lda, float *tau, float *work, int *info);
657 F77_FUNC(slae2, SLAE2) (float *a, float *b, float *c, float *rt1, float *rt2);
660 F77_FUNC(slaev2, SLAEV2) (float *a, float *b, float *c, float *rt1, float *rt2,
661 float *cs1, float *cs2);
664 F77_FUNC(slar1vx, SLAR1VX) (int *n, int *b1, int *bn, float *sigma, float *d, float *l, float *ld,
665 float *lld, float *eval, float *gersch, float *z, float *ztz, float *mingma,
666 int *r, int *isuppz, float *work);
669 F77_FUNC(slarrvx, SLARRVX) (int *n, float *d, float *l, int *isplit, int *m, float *w,
670 int *iblock, int *indexw, float *gersch, float *tol, float *z, int *ldz,
671 int *isuppz, float *work, int *iwork, int *info);
674 F77_FUNC(slasd4, SLASD4) (int *n, int *i, float *d, float *z, float *delta,
675 float *rho, float *sigma, float *work, int *info);
678 F77_FUNC(slasq1, SLASQ1) (int *n, float *d, float *e, float *work, int *info);
682 F77_FUNC(slasv2, SLASV2) (float *f, float *g, float *h, float *ssmin, float *ssmax,
683 float *snr, float *csr, float *snl, float *csl);
686 F77_FUNC(sorm2r, SORM2R) (const char *side, const char *trans, int *m, int *n, int *k, float *a,
687 int *lda, float *tau, float *c, int *ldc, float *work, int *info);
690 F77_FUNC(sstein, SSTEIN) (int *n, float *d, float *e, int *m, float *w, int *iblock, int *isplit,
691 float *z, int *ldz, float *work, int *iwork, int *ifail, int *info);
694 F77_FUNC(sgelqf, SGELQF) (int *m, int *n, float *a, int *lda, float *tau,
695 float *work, int *lwork, int *info);
698 F77_FUNC(slaebz, SLAEBZ) (int *ijob, int *nitmax, int *n, int *mmax, int *minp, int *nbmin,
699 float *abstol, float *reltol, float *pivmin, float *d, float *e,
700 float *e2, int *nval, float *ab, float *c, int *mout, int *nab,
701 float *work, int *iwork, int *info);
704 F77_FUNC(slarf, SLARF) (const char *side, int *m, int *n, float *v, int *incv, float *tau,
705 float *c, int *ldc, float *work);
708 F77_FUNC(slartg, SLARTG) (float *f, float *g, float *cs, float *sn, float *r);
711 F77_FUNC(slasd5, SLASD5) (int *i, float *d, float *z, float *delta,
712 float *rho, float *dsigma, float *work);
715 F77_FUNC(slasq2, SLASQ2) (int *n, float *z, int *info);
718 F77_FUNC(slasq3, SLASQ3) (int *i0, int *n0, float *z, int *pp, float *dmin,
719 float *sigma, float *desig, float *qmax, int *nfail,
720 int *iter, int *ndiv, int *ieee);
723 F77_FUNC(slaswp, SLASWP) (int *n, float *a, int *lda, int *k1, int *k2, int *ipiv, int *incx);
726 F77_FUNC(sormbr, SORMBR) (const char *vect, const char *side, const char *trans, int *m, int *n, int *k,
727 float *a, int *lda, float *tau, float *c, int *ldc, float *work,
728 int *lwork, int *info);
731 F77_FUNC(ssterf, SSTERF) (int *n, float *d, float *e, int *info);
734 F77_FUNC(sgeqr2, SGEQR2) (int *m, int *n, float *a, int *lda, float *tau,
735 float *work, int *info);
738 F77_FUNC(slaed6, SLAED6) (int *kniter, int *orgati, float *rho, float *d,
739 float *z, float *finit, float *tau, int *info);
742 F77_FUNC(slarfb, SLARFB) (const char *side, const char *trans, const char *direct, const char *storev, int *m, int *n,
743 int *k, float *v, int *ldv, float *t, int *ldt, float *c,
744 int *ldc, float *work, int *ldwork);
747 F77_FUNC(slaruv, SLARUV) (int *iseed, int *n, float *x);
750 F77_FUNC(slasd6, SLASD6) (int *icompq, int *nl, int *nr, int *sqre, float *d, float *vf,
751 float *vl, float *alpha, float *beta, int *idxq, int *perm,
752 int *givptr, int *givcol, int *ldgcol, float *givnum, int *ldgnum,
753 float *poles, float *difl, float *difr, float *z, int *k,
754 float *c, float *s, float *work, int *iwork, int *info);
757 F77_FUNC(slatrd, SLATRD) (const char *uplo, int *n, int *nb, float *a, int *lda, float *e,
758 float * tau, float *w, int *ldw);
761 F77_FUNC(sorml2, SORML2) (const char *side, const char *trans, int *m, int *n, int *k, float *a,
762 int *lda, float *tau, float *c, int *ldc, float *work, int *info);
765 F77_FUNC(sstevr, SSTEVR) (const char *jobz, const char *range, int *n, float *d, float *e, float *vl,
766 float *vu, int *il, int *iu, float *abstol, int *m, float *w,
767 float *z, int *ldz, int *isuppz, float *work,
768 int *lwork, int *iwork, int *liwork, int *info);
771 F77_FUNC(ssytrd, SSYTRD) (const char *uplo, int *n, float * a, int *lda, float *d,
772 float *e, float *tau, float *work, int *lwork, int *info);
775 F77_FUNC(ssyevr, SSYEVR) (const char *jobz, const char *range, const char *uplo, int *n,
776 float *a, int *lda, float *vl, float *vu, int *
777 il, int *iu, float *abstol, int *m, float *w,
778 float *z__, int *ldz, int *isuppz, float *work,
779 int *lwork, int *iwork, int *liwork, int *info);
782 F77_FUNC(sormql, SORMQL) (const char *side, const char *trans, int *m, int *n,
783 int *k, float *a, int *lda, float *tau, float *
784 c, int *ldc, float *work, int *lwork, int *info);
787 F77_FUNC(sormqr, SORMQR) (const char *side, const char *trans, int *m, int *n, int *k, float *a,
788 int *lda, float *tau, float *c, int *ldc,
789 float *work, int *lwork, int *info);
792 F77_FUNC(sorgbr, SORGBR) (const char *vect, int *m, int *n, int *k, float *a, int *lda,
793 float *tau, float *work, int *lwork, int *info);
796 F77_FUNC(slasq5, SLASQ5) (int *i0, int *n0, float *z, int *pp, float *tau, float *dmin,
797 float *dmin1, float *dmin2, float *dn, float *dnm1,
798 float *dnm2, int *ieee);
801 F77_FUNC(slasd8, SLASD8) (int *icompq, int *k, float *d, float *z, float *vf, float *vl,
802 float *difl, float *difr, int *lddifr, float *dsigma,
803 float *work, int *info);
806 F77_FUNC(slascl, SLASCL) (const char *type, int *kl, int *ku, float *cfrom, float *cto, int *m,
807 int *n, float *a, int *lda, int *info);
810 F77_FUNC(slarft, SLARFT) (const char *direct, const char *storev, int *n, int *k, float *v,
811 int *ldv, float *tau, float *t, int *ldt);
814 F77_FUNC(slagts, SLAGTS) (int *job, int *n, float *a, float *b, float *c, float *d,
815 int *in, float *y, float *tol, int *info);
818 F77_FUNC(sgesdd, SGESDD) (const char *jobz, int *m, int *n, float *a, int *lda, float *s, float *u,
819 int *ldu, float *vt, int *ldvt, float *work, int *lwork,
820 int *iwork, int *info);
823 F77_FUNC(ssytd2, SSYTD2) (const char *uplo, int *n, float *a, int *lda, float *d,
824 float *e, float *tau, int *info);
827 F77_FUNC(sormlq, SORMLQ) (const char *side, const char *trans, int *m, int *n, int *k, float *a, int *lda,
828 float *tau, float *c, int *ldc, float *work, int *lwork, int *info);
831 F77_FUNC(sorg2r, SORG2R) (int *m, int *n, int *k, float *a, int *lda, float *tau,
832 float *work, int *info);
835 F77_FUNC(slasq4, SLASQ4) (int *i0, int *n0, float *z, int *pp, int *n0in, float *dmin,
836 float *dmin1, float *dmin2, float *dn, float *dn1,
837 float *dn2, float *tau, int *ttype);
840 F77_FUNC(slasd7, SLASD7) (int *icompq, int *nl, int *nr, int *sqre, int *k, float *d, float *z,
841 float *zw, float *vf, float *vfw, float *vl, float *vlw,
842 float *alpha, float *beta, float *dsigma, int *idx, int *idxp,
843 int *idxq, int *perm, int *givptr, int *givcol, int *ldgcol,
844 float *givnum, int *ldgnum, float *c, float *s, int *info);
847 F77_FUNC(slas2, SLAS2) (float *f, float *g, float *h, float *ssmin, float *ssmax);
850 F77_FUNC(slarfg, SLARFG) (int *n, float *alpha, float *x, int *incx, float *tau);
853 F77_FUNC(slagtf, SLAGTF) (int *n, float *a, float *lambda, float *b, float *c,
854 float *tol, float *d, int *in, int *info);
857 F77_FUNC(sgeqrf, SGEQRF) (int *m, int *n, float *a, int *lda, float *tau,
858 float *work, int *lwork, int *info);
867 #endif /* GMX_LAPACK_H */