diff --git "a/env-llmeval/lib/python3.10/site-packages/scipy/linalg/cython_lapack.pxd" "b/env-llmeval/lib/python3.10/site-packages/scipy/linalg/cython_lapack.pxd" new file mode 100644--- /dev/null +++ "b/env-llmeval/lib/python3.10/site-packages/scipy/linalg/cython_lapack.pxd" @@ -0,0 +1,1528 @@ +""" +This file was generated by _generate_pyx.py. +Do not edit this file directly. +""" + +# Within SciPy, these wrappers can be used via relative or absolute cimport. +# Examples: +# from ..linalg cimport cython_lapack +# from scipy.linalg cimport cython_lapack +# cimport scipy.linalg.cython_lapack as cython_lapack +# cimport ..linalg.cython_lapack as cython_lapack + +# Within SciPy, if LAPACK functions are needed in C/C++/Fortran, +# these wrappers should not be used. +# The original libraries should be linked directly. + +ctypedef float s +ctypedef double d +ctypedef float complex c +ctypedef double complex z + +# Function pointer type declarations for +# gees and gges families of functions. +ctypedef bint cselect1(c*) +ctypedef bint cselect2(c*, c*) +ctypedef bint dselect2(d*, d*) +ctypedef bint dselect3(d*, d*, d*) +ctypedef bint sselect2(s*, s*) +ctypedef bint sselect3(s*, s*, s*) +ctypedef bint zselect1(z*) +ctypedef bint zselect2(z*, z*) + +cdef void cbbcsd(char *jobu1, char *jobu2, char *jobv1t, char *jobv2t, char *trans, int *m, int *p, int *q, s *theta, s *phi, c *u1, int *ldu1, c *u2, int *ldu2, c *v1t, int *ldv1t, c *v2t, int *ldv2t, s *b11d, s *b11e, s *b12d, s *b12e, s *b21d, s *b21e, s *b22d, s *b22e, s *rwork, int *lrwork, int *info) noexcept nogil +cdef void cbdsqr(char *uplo, int *n, int *ncvt, int *nru, int *ncc, s *d, s *e, c *vt, int *ldvt, c *u, int *ldu, c *c, int *ldc, s *rwork, int *info) noexcept nogil +cdef void cgbbrd(char *vect, int *m, int *n, int *ncc, int *kl, int *ku, c *ab, int *ldab, s *d, s *e, c *q, int *ldq, c *pt, int *ldpt, c *c, int *ldc, c *work, s *rwork, int *info) noexcept nogil +cdef void cgbcon(char *norm, int *n, int *kl, int *ku, c *ab, int *ldab, int *ipiv, s *anorm, s *rcond, c *work, s *rwork, int *info) noexcept nogil +cdef void cgbequ(int *m, int *n, int *kl, int *ku, c *ab, int *ldab, s *r, s *c, s *rowcnd, s *colcnd, s *amax, int *info) noexcept nogil +cdef void cgbequb(int *m, int *n, int *kl, int *ku, c *ab, int *ldab, s *r, s *c, s *rowcnd, s *colcnd, s *amax, int *info) noexcept nogil +cdef void cgbrfs(char *trans, int *n, int *kl, int *ku, int *nrhs, c *ab, int *ldab, c *afb, int *ldafb, int *ipiv, c *b, int *ldb, c *x, int *ldx, s *ferr, s *berr, c *work, s *rwork, int *info) noexcept nogil +cdef void cgbsv(int *n, int *kl, int *ku, int *nrhs, c *ab, int *ldab, int *ipiv, c *b, int *ldb, int *info) noexcept nogil +cdef void cgbsvx(char *fact, char *trans, int *n, int *kl, int *ku, int *nrhs, c *ab, int *ldab, c *afb, int *ldafb, int *ipiv, char *equed, s *r, s *c, c *b, int *ldb, c *x, int *ldx, s *rcond, s *ferr, s *berr, c *work, s *rwork, int *info) noexcept nogil +cdef void cgbtf2(int *m, int *n, int *kl, int *ku, c *ab, int *ldab, int *ipiv, int *info) noexcept nogil +cdef void cgbtrf(int *m, int *n, int *kl, int *ku, c *ab, int *ldab, int *ipiv, int *info) noexcept nogil +cdef void cgbtrs(char *trans, int *n, int *kl, int *ku, int *nrhs, c *ab, int *ldab, int *ipiv, c *b, int *ldb, int *info) noexcept nogil +cdef void cgebak(char *job, char *side, int *n, int *ilo, int *ihi, s *scale, int *m, c *v, int *ldv, int *info) noexcept nogil +cdef void cgebal(char *job, int *n, c *a, int *lda, int *ilo, int *ihi, s *scale, int *info) noexcept nogil +cdef void cgebd2(int *m, int *n, c *a, int *lda, s *d, s *e, c *tauq, c *taup, c *work, int *info) noexcept nogil +cdef void cgebrd(int *m, int *n, c *a, int *lda, s *d, s *e, c *tauq, c *taup, c *work, int *lwork, int *info) noexcept nogil +cdef void cgecon(char *norm, int *n, c *a, int *lda, s *anorm, s *rcond, c *work, s *rwork, int *info) noexcept nogil +cdef void cgeequ(int *m, int *n, c *a, int *lda, s *r, s *c, s *rowcnd, s *colcnd, s *amax, int *info) noexcept nogil +cdef void cgeequb(int *m, int *n, c *a, int *lda, s *r, s *c, s *rowcnd, s *colcnd, s *amax, int *info) noexcept nogil +cdef void cgees(char *jobvs, char *sort, cselect1 *select, int *n, c *a, int *lda, int *sdim, c *w, c *vs, int *ldvs, c *work, int *lwork, s *rwork, bint *bwork, int *info) noexcept nogil +cdef void cgeesx(char *jobvs, char *sort, cselect1 *select, char *sense, int *n, c *a, int *lda, int *sdim, c *w, c *vs, int *ldvs, s *rconde, s *rcondv, c *work, int *lwork, s *rwork, bint *bwork, int *info) noexcept nogil +cdef void cgeev(char *jobvl, char *jobvr, int *n, c *a, int *lda, c *w, c *vl, int *ldvl, c *vr, int *ldvr, c *work, int *lwork, s *rwork, int *info) noexcept nogil +cdef void cgeevx(char *balanc, char *jobvl, char *jobvr, char *sense, int *n, c *a, int *lda, c *w, c *vl, int *ldvl, c *vr, int *ldvr, int *ilo, int *ihi, s *scale, s *abnrm, s *rconde, s *rcondv, c *work, int *lwork, s *rwork, int *info) noexcept nogil +cdef void cgehd2(int *n, int *ilo, int *ihi, c *a, int *lda, c *tau, c *work, int *info) noexcept nogil +cdef void cgehrd(int *n, int *ilo, int *ihi, c *a, int *lda, c *tau, c *work, int *lwork, int *info) noexcept nogil +cdef void cgelq2(int *m, int *n, c *a, int *lda, c *tau, c *work, int *info) noexcept nogil +cdef void cgelqf(int *m, int *n, c *a, int *lda, c *tau, c *work, int *lwork, int *info) noexcept nogil +cdef void cgels(char *trans, int *m, int *n, int *nrhs, c *a, int *lda, c *b, int *ldb, c *work, int *lwork, int *info) noexcept nogil +cdef void cgelsd(int *m, int *n, int *nrhs, c *a, int *lda, c *b, int *ldb, s *s, s *rcond, int *rank, c *work, int *lwork, s *rwork, int *iwork, int *info) noexcept nogil +cdef void cgelss(int *m, int *n, int *nrhs, c *a, int *lda, c *b, int *ldb, s *s, s *rcond, int *rank, c *work, int *lwork, s *rwork, int *info) noexcept nogil +cdef void cgelsy(int *m, int *n, int *nrhs, c *a, int *lda, c *b, int *ldb, int *jpvt, s *rcond, int *rank, c *work, int *lwork, s *rwork, int *info) noexcept nogil +cdef void cgemqrt(char *side, char *trans, int *m, int *n, int *k, int *nb, c *v, int *ldv, c *t, int *ldt, c *c, int *ldc, c *work, int *info) noexcept nogil +cdef void cgeql2(int *m, int *n, c *a, int *lda, c *tau, c *work, int *info) noexcept nogil +cdef void cgeqlf(int *m, int *n, c *a, int *lda, c *tau, c *work, int *lwork, int *info) noexcept nogil +cdef void cgeqp3(int *m, int *n, c *a, int *lda, int *jpvt, c *tau, c *work, int *lwork, s *rwork, int *info) noexcept nogil +cdef void cgeqr2(int *m, int *n, c *a, int *lda, c *tau, c *work, int *info) noexcept nogil +cdef void cgeqr2p(int *m, int *n, c *a, int *lda, c *tau, c *work, int *info) noexcept nogil +cdef void cgeqrf(int *m, int *n, c *a, int *lda, c *tau, c *work, int *lwork, int *info) noexcept nogil +cdef void cgeqrfp(int *m, int *n, c *a, int *lda, c *tau, c *work, int *lwork, int *info) noexcept nogil +cdef void cgeqrt(int *m, int *n, int *nb, c *a, int *lda, c *t, int *ldt, c *work, int *info) noexcept nogil +cdef void cgeqrt2(int *m, int *n, c *a, int *lda, c *t, int *ldt, int *info) noexcept nogil +cdef void cgeqrt3(int *m, int *n, c *a, int *lda, c *t, int *ldt, int *info) noexcept nogil +cdef void cgerfs(char *trans, int *n, int *nrhs, c *a, int *lda, c *af, int *ldaf, int *ipiv, c *b, int *ldb, c *x, int *ldx, s *ferr, s *berr, c *work, s *rwork, int *info) noexcept nogil +cdef void cgerq2(int *m, int *n, c *a, int *lda, c *tau, c *work, int *info) noexcept nogil +cdef void cgerqf(int *m, int *n, c *a, int *lda, c *tau, c *work, int *lwork, int *info) noexcept nogil +cdef void cgesc2(int *n, c *a, int *lda, c *rhs, int *ipiv, int *jpiv, s *scale) noexcept nogil +cdef void cgesdd(char *jobz, int *m, int *n, c *a, int *lda, s *s, c *u, int *ldu, c *vt, int *ldvt, c *work, int *lwork, s *rwork, int *iwork, int *info) noexcept nogil +cdef void cgesv(int *n, int *nrhs, c *a, int *lda, int *ipiv, c *b, int *ldb, int *info) noexcept nogil +cdef void cgesvd(char *jobu, char *jobvt, int *m, int *n, c *a, int *lda, s *s, c *u, int *ldu, c *vt, int *ldvt, c *work, int *lwork, s *rwork, int *info) noexcept nogil +cdef void cgesvx(char *fact, char *trans, int *n, int *nrhs, c *a, int *lda, c *af, int *ldaf, int *ipiv, char *equed, s *r, s *c, c *b, int *ldb, c *x, int *ldx, s *rcond, s *ferr, s *berr, c *work, s *rwork, int *info) noexcept nogil +cdef void cgetc2(int *n, c *a, int *lda, int *ipiv, int *jpiv, int *info) noexcept nogil +cdef void cgetf2(int *m, int *n, c *a, int *lda, int *ipiv, int *info) noexcept nogil +cdef void cgetrf(int *m, int *n, c *a, int *lda, int *ipiv, int *info) noexcept nogil +cdef void cgetri(int *n, c *a, int *lda, int *ipiv, c *work, int *lwork, int *info) noexcept nogil +cdef void cgetrs(char *trans, int *n, int *nrhs, c *a, int *lda, int *ipiv, c *b, int *ldb, int *info) noexcept nogil +cdef void cggbak(char *job, char *side, int *n, int *ilo, int *ihi, s *lscale, s *rscale, int *m, c *v, int *ldv, int *info) noexcept nogil +cdef void cggbal(char *job, int *n, c *a, int *lda, c *b, int *ldb, int *ilo, int *ihi, s *lscale, s *rscale, s *work, int *info) noexcept nogil +cdef void cgges(char *jobvsl, char *jobvsr, char *sort, cselect2 *selctg, int *n, c *a, int *lda, c *b, int *ldb, int *sdim, c *alpha, c *beta, c *vsl, int *ldvsl, c *vsr, int *ldvsr, c *work, int *lwork, s *rwork, bint *bwork, int *info) noexcept nogil +cdef void cggesx(char *jobvsl, char *jobvsr, char *sort, cselect2 *selctg, char *sense, int *n, c *a, int *lda, c *b, int *ldb, int *sdim, c *alpha, c *beta, c *vsl, int *ldvsl, c *vsr, int *ldvsr, s *rconde, s *rcondv, c *work, int *lwork, s *rwork, int *iwork, int *liwork, bint *bwork, int *info) noexcept nogil +cdef void cggev(char *jobvl, char *jobvr, int *n, c *a, int *lda, c *b, int *ldb, c *alpha, c *beta, c *vl, int *ldvl, c *vr, int *ldvr, c *work, int *lwork, s *rwork, int *info) noexcept nogil +cdef void cggevx(char *balanc, char *jobvl, char *jobvr, char *sense, int *n, c *a, int *lda, c *b, int *ldb, c *alpha, c *beta, c *vl, int *ldvl, c *vr, int *ldvr, int *ilo, int *ihi, s *lscale, s *rscale, s *abnrm, s *bbnrm, s *rconde, s *rcondv, c *work, int *lwork, s *rwork, int *iwork, bint *bwork, int *info) noexcept nogil +cdef void cggglm(int *n, int *m, int *p, c *a, int *lda, c *b, int *ldb, c *d, c *x, c *y, c *work, int *lwork, int *info) noexcept nogil +cdef void cgghrd(char *compq, char *compz, int *n, int *ilo, int *ihi, c *a, int *lda, c *b, int *ldb, c *q, int *ldq, c *z, int *ldz, int *info) noexcept nogil +cdef void cgglse(int *m, int *n, int *p, c *a, int *lda, c *b, int *ldb, c *c, c *d, c *x, c *work, int *lwork, int *info) noexcept nogil +cdef void cggqrf(int *n, int *m, int *p, c *a, int *lda, c *taua, c *b, int *ldb, c *taub, c *work, int *lwork, int *info) noexcept nogil +cdef void cggrqf(int *m, int *p, int *n, c *a, int *lda, c *taua, c *b, int *ldb, c *taub, c *work, int *lwork, int *info) noexcept nogil +cdef void cgtcon(char *norm, int *n, c *dl, c *d, c *du, c *du2, int *ipiv, s *anorm, s *rcond, c *work, int *info) noexcept nogil +cdef void cgtrfs(char *trans, int *n, int *nrhs, c *dl, c *d, c *du, c *dlf, c *df, c *duf, c *du2, int *ipiv, c *b, int *ldb, c *x, int *ldx, s *ferr, s *berr, c *work, s *rwork, int *info) noexcept nogil +cdef void cgtsv(int *n, int *nrhs, c *dl, c *d, c *du, c *b, int *ldb, int *info) noexcept nogil +cdef void cgtsvx(char *fact, char *trans, int *n, int *nrhs, c *dl, c *d, c *du, c *dlf, c *df, c *duf, c *du2, int *ipiv, c *b, int *ldb, c *x, int *ldx, s *rcond, s *ferr, s *berr, c *work, s *rwork, int *info) noexcept nogil +cdef void cgttrf(int *n, c *dl, c *d, c *du, c *du2, int *ipiv, int *info) noexcept nogil +cdef void cgttrs(char *trans, int *n, int *nrhs, c *dl, c *d, c *du, c *du2, int *ipiv, c *b, int *ldb, int *info) noexcept nogil +cdef void cgtts2(int *itrans, int *n, int *nrhs, c *dl, c *d, c *du, c *du2, int *ipiv, c *b, int *ldb) noexcept nogil +cdef void chbev(char *jobz, char *uplo, int *n, int *kd, c *ab, int *ldab, s *w, c *z, int *ldz, c *work, s *rwork, int *info) noexcept nogil +cdef void chbevd(char *jobz, char *uplo, int *n, int *kd, c *ab, int *ldab, s *w, c *z, int *ldz, c *work, int *lwork, s *rwork, int *lrwork, int *iwork, int *liwork, int *info) noexcept nogil +cdef void chbevx(char *jobz, char *range, char *uplo, int *n, int *kd, c *ab, int *ldab, c *q, int *ldq, s *vl, s *vu, int *il, int *iu, s *abstol, int *m, s *w, c *z, int *ldz, c *work, s *rwork, int *iwork, int *ifail, int *info) noexcept nogil +cdef void chbgst(char *vect, char *uplo, int *n, int *ka, int *kb, c *ab, int *ldab, c *bb, int *ldbb, c *x, int *ldx, c *work, s *rwork, int *info) noexcept nogil +cdef void chbgv(char *jobz, char *uplo, int *n, int *ka, int *kb, c *ab, int *ldab, c *bb, int *ldbb, s *w, c *z, int *ldz, c *work, s *rwork, int *info) noexcept nogil +cdef void chbgvd(char *jobz, char *uplo, int *n, int *ka, int *kb, c *ab, int *ldab, c *bb, int *ldbb, s *w, c *z, int *ldz, c *work, int *lwork, s *rwork, int *lrwork, int *iwork, int *liwork, int *info) noexcept nogil +cdef void chbgvx(char *jobz, char *range, char *uplo, int *n, int *ka, int *kb, c *ab, int *ldab, c *bb, int *ldbb, c *q, int *ldq, s *vl, s *vu, int *il, int *iu, s *abstol, int *m, s *w, c *z, int *ldz, c *work, s *rwork, int *iwork, int *ifail, int *info) noexcept nogil +cdef void chbtrd(char *vect, char *uplo, int *n, int *kd, c *ab, int *ldab, s *d, s *e, c *q, int *ldq, c *work, int *info) noexcept nogil +cdef void checon(char *uplo, int *n, c *a, int *lda, int *ipiv, s *anorm, s *rcond, c *work, int *info) noexcept nogil +cdef void cheequb(char *uplo, int *n, c *a, int *lda, s *s, s *scond, s *amax, c *work, int *info) noexcept nogil +cdef void cheev(char *jobz, char *uplo, int *n, c *a, int *lda, s *w, c *work, int *lwork, s *rwork, int *info) noexcept nogil +cdef void cheevd(char *jobz, char *uplo, int *n, c *a, int *lda, s *w, c *work, int *lwork, s *rwork, int *lrwork, int *iwork, int *liwork, int *info) noexcept nogil +cdef void cheevr(char *jobz, char *range, char *uplo, int *n, c *a, int *lda, s *vl, s *vu, int *il, int *iu, s *abstol, int *m, s *w, c *z, int *ldz, int *isuppz, c *work, int *lwork, s *rwork, int *lrwork, int *iwork, int *liwork, int *info) noexcept nogil +cdef void cheevx(char *jobz, char *range, char *uplo, int *n, c *a, int *lda, s *vl, s *vu, int *il, int *iu, s *abstol, int *m, s *w, c *z, int *ldz, c *work, int *lwork, s *rwork, int *iwork, int *ifail, int *info) noexcept nogil +cdef void chegs2(int *itype, char *uplo, int *n, c *a, int *lda, c *b, int *ldb, int *info) noexcept nogil +cdef void chegst(int *itype, char *uplo, int *n, c *a, int *lda, c *b, int *ldb, int *info) noexcept nogil +cdef void chegv(int *itype, char *jobz, char *uplo, int *n, c *a, int *lda, c *b, int *ldb, s *w, c *work, int *lwork, s *rwork, int *info) noexcept nogil +cdef void chegvd(int *itype, char *jobz, char *uplo, int *n, c *a, int *lda, c *b, int *ldb, s *w, c *work, int *lwork, s *rwork, int *lrwork, int *iwork, int *liwork, int *info) noexcept nogil +cdef void chegvx(int *itype, char *jobz, char *range, char *uplo, int *n, c *a, int *lda, c *b, int *ldb, s *vl, s *vu, int *il, int *iu, s *abstol, int *m, s *w, c *z, int *ldz, c *work, int *lwork, s *rwork, int *iwork, int *ifail, int *info) noexcept nogil +cdef void cherfs(char *uplo, int *n, int *nrhs, c *a, int *lda, c *af, int *ldaf, int *ipiv, c *b, int *ldb, c *x, int *ldx, s *ferr, s *berr, c *work, s *rwork, int *info) noexcept nogil +cdef void chesv(char *uplo, int *n, int *nrhs, c *a, int *lda, int *ipiv, c *b, int *ldb, c *work, int *lwork, int *info) noexcept nogil +cdef void chesvx(char *fact, char *uplo, int *n, int *nrhs, c *a, int *lda, c *af, int *ldaf, int *ipiv, c *b, int *ldb, c *x, int *ldx, s *rcond, s *ferr, s *berr, c *work, int *lwork, s *rwork, int *info) noexcept nogil +cdef void cheswapr(char *uplo, int *n, c *a, int *lda, int *i1, int *i2) noexcept nogil +cdef void chetd2(char *uplo, int *n, c *a, int *lda, s *d, s *e, c *tau, int *info) noexcept nogil +cdef void chetf2(char *uplo, int *n, c *a, int *lda, int *ipiv, int *info) noexcept nogil +cdef void chetrd(char *uplo, int *n, c *a, int *lda, s *d, s *e, c *tau, c *work, int *lwork, int *info) noexcept nogil +cdef void chetrf(char *uplo, int *n, c *a, int *lda, int *ipiv, c *work, int *lwork, int *info) noexcept nogil +cdef void chetri(char *uplo, int *n, c *a, int *lda, int *ipiv, c *work, int *info) noexcept nogil +cdef void chetri2(char *uplo, int *n, c *a, int *lda, int *ipiv, c *work, int *lwork, int *info) noexcept nogil +cdef void chetri2x(char *uplo, int *n, c *a, int *lda, int *ipiv, c *work, int *nb, int *info) noexcept nogil +cdef void chetrs(char *uplo, int *n, int *nrhs, c *a, int *lda, int *ipiv, c *b, int *ldb, int *info) noexcept nogil +cdef void chetrs2(char *uplo, int *n, int *nrhs, c *a, int *lda, int *ipiv, c *b, int *ldb, c *work, int *info) noexcept nogil +cdef void chfrk(char *transr, char *uplo, char *trans, int *n, int *k, s *alpha, c *a, int *lda, s *beta, c *c) noexcept nogil +cdef void chgeqz(char *job, char *compq, char *compz, int *n, int *ilo, int *ihi, c *h, int *ldh, c *t, int *ldt, c *alpha, c *beta, c *q, int *ldq, c *z, int *ldz, c *work, int *lwork, s *rwork, int *info) noexcept nogil +cdef char chla_transtype(int *trans) noexcept nogil +cdef void chpcon(char *uplo, int *n, c *ap, int *ipiv, s *anorm, s *rcond, c *work, int *info) noexcept nogil +cdef void chpev(char *jobz, char *uplo, int *n, c *ap, s *w, c *z, int *ldz, c *work, s *rwork, int *info) noexcept nogil +cdef void chpevd(char *jobz, char *uplo, int *n, c *ap, s *w, c *z, int *ldz, c *work, int *lwork, s *rwork, int *lrwork, int *iwork, int *liwork, int *info) noexcept nogil +cdef void chpevx(char *jobz, char *range, char *uplo, int *n, c *ap, s *vl, s *vu, int *il, int *iu, s *abstol, int *m, s *w, c *z, int *ldz, c *work, s *rwork, int *iwork, int *ifail, int *info) noexcept nogil +cdef void chpgst(int *itype, char *uplo, int *n, c *ap, c *bp, int *info) noexcept nogil +cdef void chpgv(int *itype, char *jobz, char *uplo, int *n, c *ap, c *bp, s *w, c *z, int *ldz, c *work, s *rwork, int *info) noexcept nogil +cdef void chpgvd(int *itype, char *jobz, char *uplo, int *n, c *ap, c *bp, s *w, c *z, int *ldz, c *work, int *lwork, s *rwork, int *lrwork, int *iwork, int *liwork, int *info) noexcept nogil +cdef void chpgvx(int *itype, char *jobz, char *range, char *uplo, int *n, c *ap, c *bp, s *vl, s *vu, int *il, int *iu, s *abstol, int *m, s *w, c *z, int *ldz, c *work, s *rwork, int *iwork, int *ifail, int *info) noexcept nogil +cdef void chprfs(char *uplo, int *n, int *nrhs, c *ap, c *afp, int *ipiv, c *b, int *ldb, c *x, int *ldx, s *ferr, s *berr, c *work, s *rwork, int *info) noexcept nogil +cdef void chpsv(char *uplo, int *n, int *nrhs, c *ap, int *ipiv, c *b, int *ldb, int *info) noexcept nogil +cdef void chpsvx(char *fact, char *uplo, int *n, int *nrhs, c *ap, c *afp, int *ipiv, c *b, int *ldb, c *x, int *ldx, s *rcond, s *ferr, s *berr, c *work, s *rwork, int *info) noexcept nogil +cdef void chptrd(char *uplo, int *n, c *ap, s *d, s *e, c *tau, int *info) noexcept nogil +cdef void chptrf(char *uplo, int *n, c *ap, int *ipiv, int *info) noexcept nogil +cdef void chptri(char *uplo, int *n, c *ap, int *ipiv, c *work, int *info) noexcept nogil +cdef void chptrs(char *uplo, int *n, int *nrhs, c *ap, int *ipiv, c *b, int *ldb, int *info) noexcept nogil +cdef void chsein(char *side, char *eigsrc, char *initv, bint *select, int *n, c *h, int *ldh, c *w, c *vl, int *ldvl, c *vr, int *ldvr, int *mm, int *m, c *work, s *rwork, int *ifaill, int *ifailr, int *info) noexcept nogil +cdef void chseqr(char *job, char *compz, int *n, int *ilo, int *ihi, c *h, int *ldh, c *w, c *z, int *ldz, c *work, int *lwork, int *info) noexcept nogil +cdef void clabrd(int *m, int *n, int *nb, c *a, int *lda, s *d, s *e, c *tauq, c *taup, c *x, int *ldx, c *y, int *ldy) noexcept nogil +cdef void clacgv(int *n, c *x, int *incx) noexcept nogil +cdef void clacn2(int *n, c *v, c *x, s *est, int *kase, int *isave) noexcept nogil +cdef void clacon(int *n, c *v, c *x, s *est, int *kase) noexcept nogil +cdef void clacp2(char *uplo, int *m, int *n, s *a, int *lda, c *b, int *ldb) noexcept nogil +cdef void clacpy(char *uplo, int *m, int *n, c *a, int *lda, c *b, int *ldb) noexcept nogil +cdef void clacrm(int *m, int *n, c *a, int *lda, s *b, int *ldb, c *c, int *ldc, s *rwork) noexcept nogil +cdef void clacrt(int *n, c *cx, int *incx, c *cy, int *incy, c *c, c *s) noexcept nogil +cdef c cladiv(c *x, c *y) noexcept nogil +cdef void claed0(int *qsiz, int *n, s *d, s *e, c *q, int *ldq, c *qstore, int *ldqs, s *rwork, int *iwork, int *info) noexcept nogil +cdef void claed7(int *n, int *cutpnt, int *qsiz, int *tlvls, int *curlvl, int *curpbm, s *d, c *q, int *ldq, s *rho, int *indxq, s *qstore, int *qptr, int *prmptr, int *perm, int *givptr, int *givcol, s *givnum, c *work, s *rwork, int *iwork, int *info) noexcept nogil +cdef void claed8(int *k, int *n, int *qsiz, c *q, int *ldq, s *d, s *rho, int *cutpnt, s *z, s *dlamda, c *q2, int *ldq2, s *w, int *indxp, int *indx, int *indxq, int *perm, int *givptr, int *givcol, s *givnum, int *info) noexcept nogil +cdef void claein(bint *rightv, bint *noinit, int *n, c *h, int *ldh, c *w, c *v, c *b, int *ldb, s *rwork, s *eps3, s *smlnum, int *info) noexcept nogil +cdef void claesy(c *a, c *b, c *c, c *rt1, c *rt2, c *evscal, c *cs1, c *sn1) noexcept nogil +cdef void claev2(c *a, c *b, c *c, s *rt1, s *rt2, s *cs1, c *sn1) noexcept nogil +cdef void clag2z(int *m, int *n, c *sa, int *ldsa, z *a, int *lda, int *info) noexcept nogil +cdef void clags2(bint *upper, s *a1, c *a2, s *a3, s *b1, c *b2, s *b3, s *csu, c *snu, s *csv, c *snv, s *csq, c *snq) noexcept nogil +cdef void clagtm(char *trans, int *n, int *nrhs, s *alpha, c *dl, c *d, c *du, c *x, int *ldx, s *beta, c *b, int *ldb) noexcept nogil +cdef void clahef(char *uplo, int *n, int *nb, int *kb, c *a, int *lda, int *ipiv, c *w, int *ldw, int *info) noexcept nogil +cdef void clahqr(bint *wantt, bint *wantz, int *n, int *ilo, int *ihi, c *h, int *ldh, c *w, int *iloz, int *ihiz, c *z, int *ldz, int *info) noexcept nogil +cdef void clahr2(int *n, int *k, int *nb, c *a, int *lda, c *tau, c *t, int *ldt, c *y, int *ldy) noexcept nogil +cdef void claic1(int *job, int *j, c *x, s *sest, c *w, c *gamma, s *sestpr, c *s, c *c) noexcept nogil +cdef void clals0(int *icompq, int *nl, int *nr, int *sqre, int *nrhs, c *b, int *ldb, c *bx, int *ldbx, int *perm, int *givptr, int *givcol, int *ldgcol, s *givnum, int *ldgnum, s *poles, s *difl, s *difr, s *z, int *k, s *c, s *s, s *rwork, int *info) noexcept nogil +cdef void clalsa(int *icompq, int *smlsiz, int *n, int *nrhs, c *b, int *ldb, c *bx, int *ldbx, s *u, int *ldu, s *vt, int *k, s *difl, s *difr, s *z, s *poles, int *givptr, int *givcol, int *ldgcol, int *perm, s *givnum, s *c, s *s, s *rwork, int *iwork, int *info) noexcept nogil +cdef void clalsd(char *uplo, int *smlsiz, int *n, int *nrhs, s *d, s *e, c *b, int *ldb, s *rcond, int *rank, c *work, s *rwork, int *iwork, int *info) noexcept nogil +cdef s clangb(char *norm, int *n, int *kl, int *ku, c *ab, int *ldab, s *work) noexcept nogil +cdef s clange(char *norm, int *m, int *n, c *a, int *lda, s *work) noexcept nogil +cdef s clangt(char *norm, int *n, c *dl, c *d, c *du) noexcept nogil +cdef s clanhb(char *norm, char *uplo, int *n, int *k, c *ab, int *ldab, s *work) noexcept nogil +cdef s clanhe(char *norm, char *uplo, int *n, c *a, int *lda, s *work) noexcept nogil +cdef s clanhf(char *norm, char *transr, char *uplo, int *n, c *a, s *work) noexcept nogil +cdef s clanhp(char *norm, char *uplo, int *n, c *ap, s *work) noexcept nogil +cdef s clanhs(char *norm, int *n, c *a, int *lda, s *work) noexcept nogil +cdef s clanht(char *norm, int *n, s *d, c *e) noexcept nogil +cdef s clansb(char *norm, char *uplo, int *n, int *k, c *ab, int *ldab, s *work) noexcept nogil +cdef s clansp(char *norm, char *uplo, int *n, c *ap, s *work) noexcept nogil +cdef s clansy(char *norm, char *uplo, int *n, c *a, int *lda, s *work) noexcept nogil +cdef s clantb(char *norm, char *uplo, char *diag, int *n, int *k, c *ab, int *ldab, s *work) noexcept nogil +cdef s clantp(char *norm, char *uplo, char *diag, int *n, c *ap, s *work) noexcept nogil +cdef s clantr(char *norm, char *uplo, char *diag, int *m, int *n, c *a, int *lda, s *work) noexcept nogil +cdef void clapll(int *n, c *x, int *incx, c *y, int *incy, s *ssmin) noexcept nogil +cdef void clapmr(bint *forwrd, int *m, int *n, c *x, int *ldx, int *k) noexcept nogil +cdef void clapmt(bint *forwrd, int *m, int *n, c *x, int *ldx, int *k) noexcept nogil +cdef void claqgb(int *m, int *n, int *kl, int *ku, c *ab, int *ldab, s *r, s *c, s *rowcnd, s *colcnd, s *amax, char *equed) noexcept nogil +cdef void claqge(int *m, int *n, c *a, int *lda, s *r, s *c, s *rowcnd, s *colcnd, s *amax, char *equed) noexcept nogil +cdef void claqhb(char *uplo, int *n, int *kd, c *ab, int *ldab, s *s, s *scond, s *amax, char *equed) noexcept nogil +cdef void claqhe(char *uplo, int *n, c *a, int *lda, s *s, s *scond, s *amax, char *equed) noexcept nogil +cdef void claqhp(char *uplo, int *n, c *ap, s *s, s *scond, s *amax, char *equed) noexcept nogil +cdef void claqp2(int *m, int *n, int *offset, c *a, int *lda, int *jpvt, c *tau, s *vn1, s *vn2, c *work) noexcept nogil +cdef void claqps(int *m, int *n, int *offset, int *nb, int *kb, c *a, int *lda, int *jpvt, c *tau, s *vn1, s *vn2, c *auxv, c *f, int *ldf) noexcept nogil +cdef void claqr0(bint *wantt, bint *wantz, int *n, int *ilo, int *ihi, c *h, int *ldh, c *w, int *iloz, int *ihiz, c *z, int *ldz, c *work, int *lwork, int *info) noexcept nogil +cdef void claqr1(int *n, c *h, int *ldh, c *s1, c *s2, c *v) noexcept nogil +cdef void claqr2(bint *wantt, bint *wantz, int *n, int *ktop, int *kbot, int *nw, c *h, int *ldh, int *iloz, int *ihiz, c *z, int *ldz, int *ns, int *nd, c *sh, c *v, int *ldv, int *nh, c *t, int *ldt, int *nv, c *wv, int *ldwv, c *work, int *lwork) noexcept nogil +cdef void claqr3(bint *wantt, bint *wantz, int *n, int *ktop, int *kbot, int *nw, c *h, int *ldh, int *iloz, int *ihiz, c *z, int *ldz, int *ns, int *nd, c *sh, c *v, int *ldv, int *nh, c *t, int *ldt, int *nv, c *wv, int *ldwv, c *work, int *lwork) noexcept nogil +cdef void claqr4(bint *wantt, bint *wantz, int *n, int *ilo, int *ihi, c *h, int *ldh, c *w, int *iloz, int *ihiz, c *z, int *ldz, c *work, int *lwork, int *info) noexcept nogil +cdef void claqr5(bint *wantt, bint *wantz, int *kacc22, int *n, int *ktop, int *kbot, int *nshfts, c *s, c *h, int *ldh, int *iloz, int *ihiz, c *z, int *ldz, c *v, int *ldv, c *u, int *ldu, int *nv, c *wv, int *ldwv, int *nh, c *wh, int *ldwh) noexcept nogil +cdef void claqsb(char *uplo, int *n, int *kd, c *ab, int *ldab, s *s, s *scond, s *amax, char *equed) noexcept nogil +cdef void claqsp(char *uplo, int *n, c *ap, s *s, s *scond, s *amax, char *equed) noexcept nogil +cdef void claqsy(char *uplo, int *n, c *a, int *lda, s *s, s *scond, s *amax, char *equed) noexcept nogil +cdef void clar1v(int *n, int *b1, int *bn, s *lambda_, s *d, s *l, s *ld, s *lld, s *pivmin, s *gaptol, c *z, bint *wantnc, int *negcnt, s *ztz, s *mingma, int *r, int *isuppz, s *nrminv, s *resid, s *rqcorr, s *work) noexcept nogil +cdef void clar2v(int *n, c *x, c *y, c *z, int *incx, s *c, c *s, int *incc) noexcept nogil +cdef void clarcm(int *m, int *n, s *a, int *lda, c *b, int *ldb, c *c, int *ldc, s *rwork) noexcept nogil +cdef void clarf(char *side, int *m, int *n, c *v, int *incv, c *tau, c *c, int *ldc, c *work) noexcept nogil +cdef void clarfb(char *side, char *trans, char *direct, char *storev, int *m, int *n, int *k, c *v, int *ldv, c *t, int *ldt, c *c, int *ldc, c *work, int *ldwork) noexcept nogil +cdef void clarfg(int *n, c *alpha, c *x, int *incx, c *tau) noexcept nogil +cdef void clarfgp(int *n, c *alpha, c *x, int *incx, c *tau) noexcept nogil +cdef void clarft(char *direct, char *storev, int *n, int *k, c *v, int *ldv, c *tau, c *t, int *ldt) noexcept nogil +cdef void clarfx(char *side, int *m, int *n, c *v, c *tau, c *c, int *ldc, c *work) noexcept nogil +cdef void clargv(int *n, c *x, int *incx, c *y, int *incy, s *c, int *incc) noexcept nogil +cdef void clarnv(int *idist, int *iseed, int *n, c *x) noexcept nogil +cdef void clarrv(int *n, s *vl, s *vu, s *d, s *l, s *pivmin, int *isplit, int *m, int *dol, int *dou, s *minrgp, s *rtol1, s *rtol2, s *w, s *werr, s *wgap, int *iblock, int *indexw, s *gers, c *z, int *ldz, int *isuppz, s *work, int *iwork, int *info) noexcept nogil +cdef void clartg(c *f, c *g, s *cs, c *sn, c *r) noexcept nogil +cdef void clartv(int *n, c *x, int *incx, c *y, int *incy, s *c, c *s, int *incc) noexcept nogil +cdef void clarz(char *side, int *m, int *n, int *l, c *v, int *incv, c *tau, c *c, int *ldc, c *work) noexcept nogil +cdef void clarzb(char *side, char *trans, char *direct, char *storev, int *m, int *n, int *k, int *l, c *v, int *ldv, c *t, int *ldt, c *c, int *ldc, c *work, int *ldwork) noexcept nogil +cdef void clarzt(char *direct, char *storev, int *n, int *k, c *v, int *ldv, c *tau, c *t, int *ldt) noexcept nogil +cdef void clascl(char *type_bn, int *kl, int *ku, s *cfrom, s *cto, int *m, int *n, c *a, int *lda, int *info) noexcept nogil +cdef void claset(char *uplo, int *m, int *n, c *alpha, c *beta, c *a, int *lda) noexcept nogil +cdef void clasr(char *side, char *pivot, char *direct, int *m, int *n, s *c, s *s, c *a, int *lda) noexcept nogil +cdef void classq(int *n, c *x, int *incx, s *scale, s *sumsq) noexcept nogil +cdef void claswp(int *n, c *a, int *lda, int *k1, int *k2, int *ipiv, int *incx) noexcept nogil +cdef void clasyf(char *uplo, int *n, int *nb, int *kb, c *a, int *lda, int *ipiv, c *w, int *ldw, int *info) noexcept nogil +cdef void clatbs(char *uplo, char *trans, char *diag, char *normin, int *n, int *kd, c *ab, int *ldab, c *x, s *scale, s *cnorm, int *info) noexcept nogil +cdef void clatdf(int *ijob, int *n, c *z, int *ldz, c *rhs, s *rdsum, s *rdscal, int *ipiv, int *jpiv) noexcept nogil +cdef void clatps(char *uplo, char *trans, char *diag, char *normin, int *n, c *ap, c *x, s *scale, s *cnorm, int *info) noexcept nogil +cdef void clatrd(char *uplo, int *n, int *nb, c *a, int *lda, s *e, c *tau, c *w, int *ldw) noexcept nogil +cdef void clatrs(char *uplo, char *trans, char *diag, char *normin, int *n, c *a, int *lda, c *x, s *scale, s *cnorm, int *info) noexcept nogil +cdef void clatrz(int *m, int *n, int *l, c *a, int *lda, c *tau, c *work) noexcept nogil +cdef void clauu2(char *uplo, int *n, c *a, int *lda, int *info) noexcept nogil +cdef void clauum(char *uplo, int *n, c *a, int *lda, int *info) noexcept nogil +cdef void cpbcon(char *uplo, int *n, int *kd, c *ab, int *ldab, s *anorm, s *rcond, c *work, s *rwork, int *info) noexcept nogil +cdef void cpbequ(char *uplo, int *n, int *kd, c *ab, int *ldab, s *s, s *scond, s *amax, int *info) noexcept nogil +cdef void cpbrfs(char *uplo, int *n, int *kd, int *nrhs, c *ab, int *ldab, c *afb, int *ldafb, c *b, int *ldb, c *x, int *ldx, s *ferr, s *berr, c *work, s *rwork, int *info) noexcept nogil +cdef void cpbstf(char *uplo, int *n, int *kd, c *ab, int *ldab, int *info) noexcept nogil +cdef void cpbsv(char *uplo, int *n, int *kd, int *nrhs, c *ab, int *ldab, c *b, int *ldb, int *info) noexcept nogil +cdef void cpbsvx(char *fact, char *uplo, int *n, int *kd, int *nrhs, c *ab, int *ldab, c *afb, int *ldafb, char *equed, s *s, c *b, int *ldb, c *x, int *ldx, s *rcond, s *ferr, s *berr, c *work, s *rwork, int *info) noexcept nogil +cdef void cpbtf2(char *uplo, int *n, int *kd, c *ab, int *ldab, int *info) noexcept nogil +cdef void cpbtrf(char *uplo, int *n, int *kd, c *ab, int *ldab, int *info) noexcept nogil +cdef void cpbtrs(char *uplo, int *n, int *kd, int *nrhs, c *ab, int *ldab, c *b, int *ldb, int *info) noexcept nogil +cdef void cpftrf(char *transr, char *uplo, int *n, c *a, int *info) noexcept nogil +cdef void cpftri(char *transr, char *uplo, int *n, c *a, int *info) noexcept nogil +cdef void cpftrs(char *transr, char *uplo, int *n, int *nrhs, c *a, c *b, int *ldb, int *info) noexcept nogil +cdef void cpocon(char *uplo, int *n, c *a, int *lda, s *anorm, s *rcond, c *work, s *rwork, int *info) noexcept nogil +cdef void cpoequ(int *n, c *a, int *lda, s *s, s *scond, s *amax, int *info) noexcept nogil +cdef void cpoequb(int *n, c *a, int *lda, s *s, s *scond, s *amax, int *info) noexcept nogil +cdef void cporfs(char *uplo, int *n, int *nrhs, c *a, int *lda, c *af, int *ldaf, c *b, int *ldb, c *x, int *ldx, s *ferr, s *berr, c *work, s *rwork, int *info) noexcept nogil +cdef void cposv(char *uplo, int *n, int *nrhs, c *a, int *lda, c *b, int *ldb, int *info) noexcept nogil +cdef void cposvx(char *fact, char *uplo, int *n, int *nrhs, c *a, int *lda, c *af, int *ldaf, char *equed, s *s, c *b, int *ldb, c *x, int *ldx, s *rcond, s *ferr, s *berr, c *work, s *rwork, int *info) noexcept nogil +cdef void cpotf2(char *uplo, int *n, c *a, int *lda, int *info) noexcept nogil +cdef void cpotrf(char *uplo, int *n, c *a, int *lda, int *info) noexcept nogil +cdef void cpotri(char *uplo, int *n, c *a, int *lda, int *info) noexcept nogil +cdef void cpotrs(char *uplo, int *n, int *nrhs, c *a, int *lda, c *b, int *ldb, int *info) noexcept nogil +cdef void cppcon(char *uplo, int *n, c *ap, s *anorm, s *rcond, c *work, s *rwork, int *info) noexcept nogil +cdef void cppequ(char *uplo, int *n, c *ap, s *s, s *scond, s *amax, int *info) noexcept nogil +cdef void cpprfs(char *uplo, int *n, int *nrhs, c *ap, c *afp, c *b, int *ldb, c *x, int *ldx, s *ferr, s *berr, c *work, s *rwork, int *info) noexcept nogil +cdef void cppsv(char *uplo, int *n, int *nrhs, c *ap, c *b, int *ldb, int *info) noexcept nogil +cdef void cppsvx(char *fact, char *uplo, int *n, int *nrhs, c *ap, c *afp, char *equed, s *s, c *b, int *ldb, c *x, int *ldx, s *rcond, s *ferr, s *berr, c *work, s *rwork, int *info) noexcept nogil +cdef void cpptrf(char *uplo, int *n, c *ap, int *info) noexcept nogil +cdef void cpptri(char *uplo, int *n, c *ap, int *info) noexcept nogil +cdef void cpptrs(char *uplo, int *n, int *nrhs, c *ap, c *b, int *ldb, int *info) noexcept nogil +cdef void cpstf2(char *uplo, int *n, c *a, int *lda, int *piv, int *rank, s *tol, s *work, int *info) noexcept nogil +cdef void cpstrf(char *uplo, int *n, c *a, int *lda, int *piv, int *rank, s *tol, s *work, int *info) noexcept nogil +cdef void cptcon(int *n, s *d, c *e, s *anorm, s *rcond, s *rwork, int *info) noexcept nogil +cdef void cpteqr(char *compz, int *n, s *d, s *e, c *z, int *ldz, s *work, int *info) noexcept nogil +cdef void cptrfs(char *uplo, int *n, int *nrhs, s *d, c *e, s *df, c *ef, c *b, int *ldb, c *x, int *ldx, s *ferr, s *berr, c *work, s *rwork, int *info) noexcept nogil +cdef void cptsv(int *n, int *nrhs, s *d, c *e, c *b, int *ldb, int *info) noexcept nogil +cdef void cptsvx(char *fact, int *n, int *nrhs, s *d, c *e, s *df, c *ef, c *b, int *ldb, c *x, int *ldx, s *rcond, s *ferr, s *berr, c *work, s *rwork, int *info) noexcept nogil +cdef void cpttrf(int *n, s *d, c *e, int *info) noexcept nogil +cdef void cpttrs(char *uplo, int *n, int *nrhs, s *d, c *e, c *b, int *ldb, int *info) noexcept nogil +cdef void cptts2(int *iuplo, int *n, int *nrhs, s *d, c *e, c *b, int *ldb) noexcept nogil +cdef void crot(int *n, c *cx, int *incx, c *cy, int *incy, s *c, c *s) noexcept nogil +cdef void cspcon(char *uplo, int *n, c *ap, int *ipiv, s *anorm, s *rcond, c *work, int *info) noexcept nogil +cdef void cspmv(char *uplo, int *n, c *alpha, c *ap, c *x, int *incx, c *beta, c *y, int *incy) noexcept nogil +cdef void cspr(char *uplo, int *n, c *alpha, c *x, int *incx, c *ap) noexcept nogil +cdef void csprfs(char *uplo, int *n, int *nrhs, c *ap, c *afp, int *ipiv, c *b, int *ldb, c *x, int *ldx, s *ferr, s *berr, c *work, s *rwork, int *info) noexcept nogil +cdef void cspsv(char *uplo, int *n, int *nrhs, c *ap, int *ipiv, c *b, int *ldb, int *info) noexcept nogil +cdef void cspsvx(char *fact, char *uplo, int *n, int *nrhs, c *ap, c *afp, int *ipiv, c *b, int *ldb, c *x, int *ldx, s *rcond, s *ferr, s *berr, c *work, s *rwork, int *info) noexcept nogil +cdef void csptrf(char *uplo, int *n, c *ap, int *ipiv, int *info) noexcept nogil +cdef void csptri(char *uplo, int *n, c *ap, int *ipiv, c *work, int *info) noexcept nogil +cdef void csptrs(char *uplo, int *n, int *nrhs, c *ap, int *ipiv, c *b, int *ldb, int *info) noexcept nogil +cdef void csrscl(int *n, s *sa, c *sx, int *incx) noexcept nogil +cdef void cstedc(char *compz, int *n, s *d, s *e, c *z, int *ldz, c *work, int *lwork, s *rwork, int *lrwork, int *iwork, int *liwork, int *info) noexcept nogil +cdef void cstegr(char *jobz, char *range, int *n, s *d, s *e, s *vl, s *vu, int *il, int *iu, s *abstol, int *m, s *w, c *z, int *ldz, int *isuppz, s *work, int *lwork, int *iwork, int *liwork, int *info) noexcept nogil +cdef void cstein(int *n, s *d, s *e, int *m, s *w, int *iblock, int *isplit, c *z, int *ldz, s *work, int *iwork, int *ifail, int *info) noexcept nogil +cdef void cstemr(char *jobz, char *range, int *n, s *d, s *e, s *vl, s *vu, int *il, int *iu, int *m, s *w, c *z, int *ldz, int *nzc, int *isuppz, bint *tryrac, s *work, int *lwork, int *iwork, int *liwork, int *info) noexcept nogil +cdef void csteqr(char *compz, int *n, s *d, s *e, c *z, int *ldz, s *work, int *info) noexcept nogil +cdef void csycon(char *uplo, int *n, c *a, int *lda, int *ipiv, s *anorm, s *rcond, c *work, int *info) noexcept nogil +cdef void csyconv(char *uplo, char *way, int *n, c *a, int *lda, int *ipiv, c *work, int *info) noexcept nogil +cdef void csyequb(char *uplo, int *n, c *a, int *lda, s *s, s *scond, s *amax, c *work, int *info) noexcept nogil +cdef void csymv(char *uplo, int *n, c *alpha, c *a, int *lda, c *x, int *incx, c *beta, c *y, int *incy) noexcept nogil +cdef void csyr(char *uplo, int *n, c *alpha, c *x, int *incx, c *a, int *lda) noexcept nogil +cdef void csyrfs(char *uplo, int *n, int *nrhs, c *a, int *lda, c *af, int *ldaf, int *ipiv, c *b, int *ldb, c *x, int *ldx, s *ferr, s *berr, c *work, s *rwork, int *info) noexcept nogil +cdef void csysv(char *uplo, int *n, int *nrhs, c *a, int *lda, int *ipiv, c *b, int *ldb, c *work, int *lwork, int *info) noexcept nogil +cdef void csysvx(char *fact, char *uplo, int *n, int *nrhs, c *a, int *lda, c *af, int *ldaf, int *ipiv, c *b, int *ldb, c *x, int *ldx, s *rcond, s *ferr, s *berr, c *work, int *lwork, s *rwork, int *info) noexcept nogil +cdef void csyswapr(char *uplo, int *n, c *a, int *lda, int *i1, int *i2) noexcept nogil +cdef void csytf2(char *uplo, int *n, c *a, int *lda, int *ipiv, int *info) noexcept nogil +cdef void csytrf(char *uplo, int *n, c *a, int *lda, int *ipiv, c *work, int *lwork, int *info) noexcept nogil +cdef void csytri(char *uplo, int *n, c *a, int *lda, int *ipiv, c *work, int *info) noexcept nogil +cdef void csytri2(char *uplo, int *n, c *a, int *lda, int *ipiv, c *work, int *lwork, int *info) noexcept nogil +cdef void csytri2x(char *uplo, int *n, c *a, int *lda, int *ipiv, c *work, int *nb, int *info) noexcept nogil +cdef void csytrs(char *uplo, int *n, int *nrhs, c *a, int *lda, int *ipiv, c *b, int *ldb, int *info) noexcept nogil +cdef void csytrs2(char *uplo, int *n, int *nrhs, c *a, int *lda, int *ipiv, c *b, int *ldb, c *work, int *info) noexcept nogil +cdef void ctbcon(char *norm, char *uplo, char *diag, int *n, int *kd, c *ab, int *ldab, s *rcond, c *work, s *rwork, int *info) noexcept nogil +cdef void ctbrfs(char *uplo, char *trans, char *diag, int *n, int *kd, int *nrhs, c *ab, int *ldab, c *b, int *ldb, c *x, int *ldx, s *ferr, s *berr, c *work, s *rwork, int *info) noexcept nogil +cdef void ctbtrs(char *uplo, char *trans, char *diag, int *n, int *kd, int *nrhs, c *ab, int *ldab, c *b, int *ldb, int *info) noexcept nogil +cdef void ctfsm(char *transr, char *side, char *uplo, char *trans, char *diag, int *m, int *n, c *alpha, c *a, c *b, int *ldb) noexcept nogil +cdef void ctftri(char *transr, char *uplo, char *diag, int *n, c *a, int *info) noexcept nogil +cdef void ctfttp(char *transr, char *uplo, int *n, c *arf, c *ap, int *info) noexcept nogil +cdef void ctfttr(char *transr, char *uplo, int *n, c *arf, c *a, int *lda, int *info) noexcept nogil +cdef void ctgevc(char *side, char *howmny, bint *select, int *n, c *s, int *lds, c *p, int *ldp, c *vl, int *ldvl, c *vr, int *ldvr, int *mm, int *m, c *work, s *rwork, int *info) noexcept nogil +cdef void ctgex2(bint *wantq, bint *wantz, int *n, c *a, int *lda, c *b, int *ldb, c *q, int *ldq, c *z, int *ldz, int *j1, int *info) noexcept nogil +cdef void ctgexc(bint *wantq, bint *wantz, int *n, c *a, int *lda, c *b, int *ldb, c *q, int *ldq, c *z, int *ldz, int *ifst, int *ilst, int *info) noexcept nogil +cdef void ctgsen(int *ijob, bint *wantq, bint *wantz, bint *select, int *n, c *a, int *lda, c *b, int *ldb, c *alpha, c *beta, c *q, int *ldq, c *z, int *ldz, int *m, s *pl, s *pr, s *dif, c *work, int *lwork, int *iwork, int *liwork, int *info) noexcept nogil +cdef void ctgsja(char *jobu, char *jobv, char *jobq, int *m, int *p, int *n, int *k, int *l, c *a, int *lda, c *b, int *ldb, s *tola, s *tolb, s *alpha, s *beta, c *u, int *ldu, c *v, int *ldv, c *q, int *ldq, c *work, int *ncycle, int *info) noexcept nogil +cdef void ctgsna(char *job, char *howmny, bint *select, int *n, c *a, int *lda, c *b, int *ldb, c *vl, int *ldvl, c *vr, int *ldvr, s *s, s *dif, int *mm, int *m, c *work, int *lwork, int *iwork, int *info) noexcept nogil +cdef void ctgsy2(char *trans, int *ijob, int *m, int *n, c *a, int *lda, c *b, int *ldb, c *c, int *ldc, c *d, int *ldd, c *e, int *lde, c *f, int *ldf, s *scale, s *rdsum, s *rdscal, int *info) noexcept nogil +cdef void ctgsyl(char *trans, int *ijob, int *m, int *n, c *a, int *lda, c *b, int *ldb, c *c, int *ldc, c *d, int *ldd, c *e, int *lde, c *f, int *ldf, s *scale, s *dif, c *work, int *lwork, int *iwork, int *info) noexcept nogil +cdef void ctpcon(char *norm, char *uplo, char *diag, int *n, c *ap, s *rcond, c *work, s *rwork, int *info) noexcept nogil +cdef void ctpmqrt(char *side, char *trans, int *m, int *n, int *k, int *l, int *nb, c *v, int *ldv, c *t, int *ldt, c *a, int *lda, c *b, int *ldb, c *work, int *info) noexcept nogil +cdef void ctpqrt(int *m, int *n, int *l, int *nb, c *a, int *lda, c *b, int *ldb, c *t, int *ldt, c *work, int *info) noexcept nogil +cdef void ctpqrt2(int *m, int *n, int *l, c *a, int *lda, c *b, int *ldb, c *t, int *ldt, int *info) noexcept nogil +cdef void ctprfb(char *side, char *trans, char *direct, char *storev, int *m, int *n, int *k, int *l, c *v, int *ldv, c *t, int *ldt, c *a, int *lda, c *b, int *ldb, c *work, int *ldwork) noexcept nogil +cdef void ctprfs(char *uplo, char *trans, char *diag, int *n, int *nrhs, c *ap, c *b, int *ldb, c *x, int *ldx, s *ferr, s *berr, c *work, s *rwork, int *info) noexcept nogil +cdef void ctptri(char *uplo, char *diag, int *n, c *ap, int *info) noexcept nogil +cdef void ctptrs(char *uplo, char *trans, char *diag, int *n, int *nrhs, c *ap, c *b, int *ldb, int *info) noexcept nogil +cdef void ctpttf(char *transr, char *uplo, int *n, c *ap, c *arf, int *info) noexcept nogil +cdef void ctpttr(char *uplo, int *n, c *ap, c *a, int *lda, int *info) noexcept nogil +cdef void ctrcon(char *norm, char *uplo, char *diag, int *n, c *a, int *lda, s *rcond, c *work, s *rwork, int *info) noexcept nogil +cdef void ctrevc(char *side, char *howmny, bint *select, int *n, c *t, int *ldt, c *vl, int *ldvl, c *vr, int *ldvr, int *mm, int *m, c *work, s *rwork, int *info) noexcept nogil +cdef void ctrexc(char *compq, int *n, c *t, int *ldt, c *q, int *ldq, int *ifst, int *ilst, int *info) noexcept nogil +cdef void ctrrfs(char *uplo, char *trans, char *diag, int *n, int *nrhs, c *a, int *lda, c *b, int *ldb, c *x, int *ldx, s *ferr, s *berr, c *work, s *rwork, int *info) noexcept nogil +cdef void ctrsen(char *job, char *compq, bint *select, int *n, c *t, int *ldt, c *q, int *ldq, c *w, int *m, s *s, s *sep, c *work, int *lwork, int *info) noexcept nogil +cdef void ctrsna(char *job, char *howmny, bint *select, int *n, c *t, int *ldt, c *vl, int *ldvl, c *vr, int *ldvr, s *s, s *sep, int *mm, int *m, c *work, int *ldwork, s *rwork, int *info) noexcept nogil +cdef void ctrsyl(char *trana, char *tranb, int *isgn, int *m, int *n, c *a, int *lda, c *b, int *ldb, c *c, int *ldc, s *scale, int *info) noexcept nogil +cdef void ctrti2(char *uplo, char *diag, int *n, c *a, int *lda, int *info) noexcept nogil +cdef void ctrtri(char *uplo, char *diag, int *n, c *a, int *lda, int *info) noexcept nogil +cdef void ctrtrs(char *uplo, char *trans, char *diag, int *n, int *nrhs, c *a, int *lda, c *b, int *ldb, int *info) noexcept nogil +cdef void ctrttf(char *transr, char *uplo, int *n, c *a, int *lda, c *arf, int *info) noexcept nogil +cdef void ctrttp(char *uplo, int *n, c *a, int *lda, c *ap, int *info) noexcept nogil +cdef void ctzrzf(int *m, int *n, c *a, int *lda, c *tau, c *work, int *lwork, int *info) noexcept nogil +cdef void cunbdb(char *trans, char *signs, int *m, int *p, int *q, c *x11, int *ldx11, c *x12, int *ldx12, c *x21, int *ldx21, c *x22, int *ldx22, s *theta, s *phi, c *taup1, c *taup2, c *tauq1, c *tauq2, c *work, int *lwork, int *info) noexcept nogil +cdef void cuncsd(char *jobu1, char *jobu2, char *jobv1t, char *jobv2t, char *trans, char *signs, int *m, int *p, int *q, c *x11, int *ldx11, c *x12, int *ldx12, c *x21, int *ldx21, c *x22, int *ldx22, s *theta, c *u1, int *ldu1, c *u2, int *ldu2, c *v1t, int *ldv1t, c *v2t, int *ldv2t, c *work, int *lwork, s *rwork, int *lrwork, int *iwork, int *info) noexcept nogil +cdef void cung2l(int *m, int *n, int *k, c *a, int *lda, c *tau, c *work, int *info) noexcept nogil +cdef void cung2r(int *m, int *n, int *k, c *a, int *lda, c *tau, c *work, int *info) noexcept nogil +cdef void cungbr(char *vect, int *m, int *n, int *k, c *a, int *lda, c *tau, c *work, int *lwork, int *info) noexcept nogil +cdef void cunghr(int *n, int *ilo, int *ihi, c *a, int *lda, c *tau, c *work, int *lwork, int *info) noexcept nogil +cdef void cungl2(int *m, int *n, int *k, c *a, int *lda, c *tau, c *work, int *info) noexcept nogil +cdef void cunglq(int *m, int *n, int *k, c *a, int *lda, c *tau, c *work, int *lwork, int *info) noexcept nogil +cdef void cungql(int *m, int *n, int *k, c *a, int *lda, c *tau, c *work, int *lwork, int *info) noexcept nogil +cdef void cungqr(int *m, int *n, int *k, c *a, int *lda, c *tau, c *work, int *lwork, int *info) noexcept nogil +cdef void cungr2(int *m, int *n, int *k, c *a, int *lda, c *tau, c *work, int *info) noexcept nogil +cdef void cungrq(int *m, int *n, int *k, c *a, int *lda, c *tau, c *work, int *lwork, int *info) noexcept nogil +cdef void cungtr(char *uplo, int *n, c *a, int *lda, c *tau, c *work, int *lwork, int *info) noexcept nogil +cdef void cunm2l(char *side, char *trans, int *m, int *n, int *k, c *a, int *lda, c *tau, c *c, int *ldc, c *work, int *info) noexcept nogil +cdef void cunm2r(char *side, char *trans, int *m, int *n, int *k, c *a, int *lda, c *tau, c *c, int *ldc, c *work, int *info) noexcept nogil +cdef void cunmbr(char *vect, char *side, char *trans, int *m, int *n, int *k, c *a, int *lda, c *tau, c *c, int *ldc, c *work, int *lwork, int *info) noexcept nogil +cdef void cunmhr(char *side, char *trans, int *m, int *n, int *ilo, int *ihi, c *a, int *lda, c *tau, c *c, int *ldc, c *work, int *lwork, int *info) noexcept nogil +cdef void cunml2(char *side, char *trans, int *m, int *n, int *k, c *a, int *lda, c *tau, c *c, int *ldc, c *work, int *info) noexcept nogil +cdef void cunmlq(char *side, char *trans, int *m, int *n, int *k, c *a, int *lda, c *tau, c *c, int *ldc, c *work, int *lwork, int *info) noexcept nogil +cdef void cunmql(char *side, char *trans, int *m, int *n, int *k, c *a, int *lda, c *tau, c *c, int *ldc, c *work, int *lwork, int *info) noexcept nogil +cdef void cunmqr(char *side, char *trans, int *m, int *n, int *k, c *a, int *lda, c *tau, c *c, int *ldc, c *work, int *lwork, int *info) noexcept nogil +cdef void cunmr2(char *side, char *trans, int *m, int *n, int *k, c *a, int *lda, c *tau, c *c, int *ldc, c *work, int *info) noexcept nogil +cdef void cunmr3(char *side, char *trans, int *m, int *n, int *k, int *l, c *a, int *lda, c *tau, c *c, int *ldc, c *work, int *info) noexcept nogil +cdef void cunmrq(char *side, char *trans, int *m, int *n, int *k, c *a, int *lda, c *tau, c *c, int *ldc, c *work, int *lwork, int *info) noexcept nogil +cdef void cunmrz(char *side, char *trans, int *m, int *n, int *k, int *l, c *a, int *lda, c *tau, c *c, int *ldc, c *work, int *lwork, int *info) noexcept nogil +cdef void cunmtr(char *side, char *uplo, char *trans, int *m, int *n, c *a, int *lda, c *tau, c *c, int *ldc, c *work, int *lwork, int *info) noexcept nogil +cdef void cupgtr(char *uplo, int *n, c *ap, c *tau, c *q, int *ldq, c *work, int *info) noexcept nogil +cdef void cupmtr(char *side, char *uplo, char *trans, int *m, int *n, c *ap, c *tau, c *c, int *ldc, c *work, int *info) noexcept nogil +cdef void dbbcsd(char *jobu1, char *jobu2, char *jobv1t, char *jobv2t, char *trans, int *m, int *p, int *q, d *theta, d *phi, d *u1, int *ldu1, d *u2, int *ldu2, d *v1t, int *ldv1t, d *v2t, int *ldv2t, d *b11d, d *b11e, d *b12d, d *b12e, d *b21d, d *b21e, d *b22d, d *b22e, d *work, int *lwork, int *info) noexcept nogil +cdef void dbdsdc(char *uplo, char *compq, int *n, d *d, d *e, d *u, int *ldu, d *vt, int *ldvt, d *q, int *iq, d *work, int *iwork, int *info) noexcept nogil +cdef void dbdsqr(char *uplo, int *n, int *ncvt, int *nru, int *ncc, d *d, d *e, d *vt, int *ldvt, d *u, int *ldu, d *c, int *ldc, d *work, int *info) noexcept nogil +cdef void ddisna(char *job, int *m, int *n, d *d, d *sep, int *info) noexcept nogil +cdef void dgbbrd(char *vect, int *m, int *n, int *ncc, int *kl, int *ku, d *ab, int *ldab, d *d, d *e, d *q, int *ldq, d *pt, int *ldpt, d *c, int *ldc, d *work, int *info) noexcept nogil +cdef void dgbcon(char *norm, int *n, int *kl, int *ku, d *ab, int *ldab, int *ipiv, d *anorm, d *rcond, d *work, int *iwork, int *info) noexcept nogil +cdef void dgbequ(int *m, int *n, int *kl, int *ku, d *ab, int *ldab, d *r, d *c, d *rowcnd, d *colcnd, d *amax, int *info) noexcept nogil +cdef void dgbequb(int *m, int *n, int *kl, int *ku, d *ab, int *ldab, d *r, d *c, d *rowcnd, d *colcnd, d *amax, int *info) noexcept nogil +cdef void dgbrfs(char *trans, int *n, int *kl, int *ku, int *nrhs, d *ab, int *ldab, d *afb, int *ldafb, int *ipiv, d *b, int *ldb, d *x, int *ldx, d *ferr, d *berr, d *work, int *iwork, int *info) noexcept nogil +cdef void dgbsv(int *n, int *kl, int *ku, int *nrhs, d *ab, int *ldab, int *ipiv, d *b, int *ldb, int *info) noexcept nogil +cdef void dgbsvx(char *fact, char *trans, int *n, int *kl, int *ku, int *nrhs, d *ab, int *ldab, d *afb, int *ldafb, int *ipiv, char *equed, d *r, d *c, d *b, int *ldb, d *x, int *ldx, d *rcond, d *ferr, d *berr, d *work, int *iwork, int *info) noexcept nogil +cdef void dgbtf2(int *m, int *n, int *kl, int *ku, d *ab, int *ldab, int *ipiv, int *info) noexcept nogil +cdef void dgbtrf(int *m, int *n, int *kl, int *ku, d *ab, int *ldab, int *ipiv, int *info) noexcept nogil +cdef void dgbtrs(char *trans, int *n, int *kl, int *ku, int *nrhs, d *ab, int *ldab, int *ipiv, d *b, int *ldb, int *info) noexcept nogil +cdef void dgebak(char *job, char *side, int *n, int *ilo, int *ihi, d *scale, int *m, d *v, int *ldv, int *info) noexcept nogil +cdef void dgebal(char *job, int *n, d *a, int *lda, int *ilo, int *ihi, d *scale, int *info) noexcept nogil +cdef void dgebd2(int *m, int *n, d *a, int *lda, d *d, d *e, d *tauq, d *taup, d *work, int *info) noexcept nogil +cdef void dgebrd(int *m, int *n, d *a, int *lda, d *d, d *e, d *tauq, d *taup, d *work, int *lwork, int *info) noexcept nogil +cdef void dgecon(char *norm, int *n, d *a, int *lda, d *anorm, d *rcond, d *work, int *iwork, int *info) noexcept nogil +cdef void dgeequ(int *m, int *n, d *a, int *lda, d *r, d *c, d *rowcnd, d *colcnd, d *amax, int *info) noexcept nogil +cdef void dgeequb(int *m, int *n, d *a, int *lda, d *r, d *c, d *rowcnd, d *colcnd, d *amax, int *info) noexcept nogil +cdef void dgees(char *jobvs, char *sort, dselect2 *select, int *n, d *a, int *lda, int *sdim, d *wr, d *wi, d *vs, int *ldvs, d *work, int *lwork, bint *bwork, int *info) noexcept nogil +cdef void dgeesx(char *jobvs, char *sort, dselect2 *select, char *sense, int *n, d *a, int *lda, int *sdim, d *wr, d *wi, d *vs, int *ldvs, d *rconde, d *rcondv, d *work, int *lwork, int *iwork, int *liwork, bint *bwork, int *info) noexcept nogil +cdef void dgeev(char *jobvl, char *jobvr, int *n, d *a, int *lda, d *wr, d *wi, d *vl, int *ldvl, d *vr, int *ldvr, d *work, int *lwork, int *info) noexcept nogil +cdef void dgeevx(char *balanc, char *jobvl, char *jobvr, char *sense, int *n, d *a, int *lda, d *wr, d *wi, d *vl, int *ldvl, d *vr, int *ldvr, int *ilo, int *ihi, d *scale, d *abnrm, d *rconde, d *rcondv, d *work, int *lwork, int *iwork, int *info) noexcept nogil +cdef void dgehd2(int *n, int *ilo, int *ihi, d *a, int *lda, d *tau, d *work, int *info) noexcept nogil +cdef void dgehrd(int *n, int *ilo, int *ihi, d *a, int *lda, d *tau, d *work, int *lwork, int *info) noexcept nogil +cdef void dgejsv(char *joba, char *jobu, char *jobv, char *jobr, char *jobt, char *jobp, int *m, int *n, d *a, int *lda, d *sva, d *u, int *ldu, d *v, int *ldv, d *work, int *lwork, int *iwork, int *info) noexcept nogil +cdef void dgelq2(int *m, int *n, d *a, int *lda, d *tau, d *work, int *info) noexcept nogil +cdef void dgelqf(int *m, int *n, d *a, int *lda, d *tau, d *work, int *lwork, int *info) noexcept nogil +cdef void dgels(char *trans, int *m, int *n, int *nrhs, d *a, int *lda, d *b, int *ldb, d *work, int *lwork, int *info) noexcept nogil +cdef void dgelsd(int *m, int *n, int *nrhs, d *a, int *lda, d *b, int *ldb, d *s, d *rcond, int *rank, d *work, int *lwork, int *iwork, int *info) noexcept nogil +cdef void dgelss(int *m, int *n, int *nrhs, d *a, int *lda, d *b, int *ldb, d *s, d *rcond, int *rank, d *work, int *lwork, int *info) noexcept nogil +cdef void dgelsy(int *m, int *n, int *nrhs, d *a, int *lda, d *b, int *ldb, int *jpvt, d *rcond, int *rank, d *work, int *lwork, int *info) noexcept nogil +cdef void dgemqrt(char *side, char *trans, int *m, int *n, int *k, int *nb, d *v, int *ldv, d *t, int *ldt, d *c, int *ldc, d *work, int *info) noexcept nogil +cdef void dgeql2(int *m, int *n, d *a, int *lda, d *tau, d *work, int *info) noexcept nogil +cdef void dgeqlf(int *m, int *n, d *a, int *lda, d *tau, d *work, int *lwork, int *info) noexcept nogil +cdef void dgeqp3(int *m, int *n, d *a, int *lda, int *jpvt, d *tau, d *work, int *lwork, int *info) noexcept nogil +cdef void dgeqr2(int *m, int *n, d *a, int *lda, d *tau, d *work, int *info) noexcept nogil +cdef void dgeqr2p(int *m, int *n, d *a, int *lda, d *tau, d *work, int *info) noexcept nogil +cdef void dgeqrf(int *m, int *n, d *a, int *lda, d *tau, d *work, int *lwork, int *info) noexcept nogil +cdef void dgeqrfp(int *m, int *n, d *a, int *lda, d *tau, d *work, int *lwork, int *info) noexcept nogil +cdef void dgeqrt(int *m, int *n, int *nb, d *a, int *lda, d *t, int *ldt, d *work, int *info) noexcept nogil +cdef void dgeqrt2(int *m, int *n, d *a, int *lda, d *t, int *ldt, int *info) noexcept nogil +cdef void dgeqrt3(int *m, int *n, d *a, int *lda, d *t, int *ldt, int *info) noexcept nogil +cdef void dgerfs(char *trans, int *n, int *nrhs, d *a, int *lda, d *af, int *ldaf, int *ipiv, d *b, int *ldb, d *x, int *ldx, d *ferr, d *berr, d *work, int *iwork, int *info) noexcept nogil +cdef void dgerq2(int *m, int *n, d *a, int *lda, d *tau, d *work, int *info) noexcept nogil +cdef void dgerqf(int *m, int *n, d *a, int *lda, d *tau, d *work, int *lwork, int *info) noexcept nogil +cdef void dgesc2(int *n, d *a, int *lda, d *rhs, int *ipiv, int *jpiv, d *scale) noexcept nogil +cdef void dgesdd(char *jobz, int *m, int *n, d *a, int *lda, d *s, d *u, int *ldu, d *vt, int *ldvt, d *work, int *lwork, int *iwork, int *info) noexcept nogil +cdef void dgesv(int *n, int *nrhs, d *a, int *lda, int *ipiv, d *b, int *ldb, int *info) noexcept nogil +cdef void dgesvd(char *jobu, char *jobvt, int *m, int *n, d *a, int *lda, d *s, d *u, int *ldu, d *vt, int *ldvt, d *work, int *lwork, int *info) noexcept nogil +cdef void dgesvj(char *joba, char *jobu, char *jobv, int *m, int *n, d *a, int *lda, d *sva, int *mv, d *v, int *ldv, d *work, int *lwork, int *info) noexcept nogil +cdef void dgesvx(char *fact, char *trans, int *n, int *nrhs, d *a, int *lda, d *af, int *ldaf, int *ipiv, char *equed, d *r, d *c, d *b, int *ldb, d *x, int *ldx, d *rcond, d *ferr, d *berr, d *work, int *iwork, int *info) noexcept nogil +cdef void dgetc2(int *n, d *a, int *lda, int *ipiv, int *jpiv, int *info) noexcept nogil +cdef void dgetf2(int *m, int *n, d *a, int *lda, int *ipiv, int *info) noexcept nogil +cdef void dgetrf(int *m, int *n, d *a, int *lda, int *ipiv, int *info) noexcept nogil +cdef void dgetri(int *n, d *a, int *lda, int *ipiv, d *work, int *lwork, int *info) noexcept nogil +cdef void dgetrs(char *trans, int *n, int *nrhs, d *a, int *lda, int *ipiv, d *b, int *ldb, int *info) noexcept nogil +cdef void dggbak(char *job, char *side, int *n, int *ilo, int *ihi, d *lscale, d *rscale, int *m, d *v, int *ldv, int *info) noexcept nogil +cdef void dggbal(char *job, int *n, d *a, int *lda, d *b, int *ldb, int *ilo, int *ihi, d *lscale, d *rscale, d *work, int *info) noexcept nogil +cdef void dgges(char *jobvsl, char *jobvsr, char *sort, dselect3 *selctg, int *n, d *a, int *lda, d *b, int *ldb, int *sdim, d *alphar, d *alphai, d *beta, d *vsl, int *ldvsl, d *vsr, int *ldvsr, d *work, int *lwork, bint *bwork, int *info) noexcept nogil +cdef void dggesx(char *jobvsl, char *jobvsr, char *sort, dselect3 *selctg, char *sense, int *n, d *a, int *lda, d *b, int *ldb, int *sdim, d *alphar, d *alphai, d *beta, d *vsl, int *ldvsl, d *vsr, int *ldvsr, d *rconde, d *rcondv, d *work, int *lwork, int *iwork, int *liwork, bint *bwork, int *info) noexcept nogil +cdef void dggev(char *jobvl, char *jobvr, int *n, d *a, int *lda, d *b, int *ldb, d *alphar, d *alphai, d *beta, d *vl, int *ldvl, d *vr, int *ldvr, d *work, int *lwork, int *info) noexcept nogil +cdef void dggevx(char *balanc, char *jobvl, char *jobvr, char *sense, int *n, d *a, int *lda, d *b, int *ldb, d *alphar, d *alphai, d *beta, d *vl, int *ldvl, d *vr, int *ldvr, int *ilo, int *ihi, d *lscale, d *rscale, d *abnrm, d *bbnrm, d *rconde, d *rcondv, d *work, int *lwork, int *iwork, bint *bwork, int *info) noexcept nogil +cdef void dggglm(int *n, int *m, int *p, d *a, int *lda, d *b, int *ldb, d *d, d *x, d *y, d *work, int *lwork, int *info) noexcept nogil +cdef void dgghrd(char *compq, char *compz, int *n, int *ilo, int *ihi, d *a, int *lda, d *b, int *ldb, d *q, int *ldq, d *z, int *ldz, int *info) noexcept nogil +cdef void dgglse(int *m, int *n, int *p, d *a, int *lda, d *b, int *ldb, d *c, d *d, d *x, d *work, int *lwork, int *info) noexcept nogil +cdef void dggqrf(int *n, int *m, int *p, d *a, int *lda, d *taua, d *b, int *ldb, d *taub, d *work, int *lwork, int *info) noexcept nogil +cdef void dggrqf(int *m, int *p, int *n, d *a, int *lda, d *taua, d *b, int *ldb, d *taub, d *work, int *lwork, int *info) noexcept nogil +cdef void dgsvj0(char *jobv, int *m, int *n, d *a, int *lda, d *d, d *sva, int *mv, d *v, int *ldv, d *eps, d *sfmin, d *tol, int *nsweep, d *work, int *lwork, int *info) noexcept nogil +cdef void dgsvj1(char *jobv, int *m, int *n, int *n1, d *a, int *lda, d *d, d *sva, int *mv, d *v, int *ldv, d *eps, d *sfmin, d *tol, int *nsweep, d *work, int *lwork, int *info) noexcept nogil +cdef void dgtcon(char *norm, int *n, d *dl, d *d, d *du, d *du2, int *ipiv, d *anorm, d *rcond, d *work, int *iwork, int *info) noexcept nogil +cdef void dgtrfs(char *trans, int *n, int *nrhs, d *dl, d *d, d *du, d *dlf, d *df, d *duf, d *du2, int *ipiv, d *b, int *ldb, d *x, int *ldx, d *ferr, d *berr, d *work, int *iwork, int *info) noexcept nogil +cdef void dgtsv(int *n, int *nrhs, d *dl, d *d, d *du, d *b, int *ldb, int *info) noexcept nogil +cdef void dgtsvx(char *fact, char *trans, int *n, int *nrhs, d *dl, d *d, d *du, d *dlf, d *df, d *duf, d *du2, int *ipiv, d *b, int *ldb, d *x, int *ldx, d *rcond, d *ferr, d *berr, d *work, int *iwork, int *info) noexcept nogil +cdef void dgttrf(int *n, d *dl, d *d, d *du, d *du2, int *ipiv, int *info) noexcept nogil +cdef void dgttrs(char *trans, int *n, int *nrhs, d *dl, d *d, d *du, d *du2, int *ipiv, d *b, int *ldb, int *info) noexcept nogil +cdef void dgtts2(int *itrans, int *n, int *nrhs, d *dl, d *d, d *du, d *du2, int *ipiv, d *b, int *ldb) noexcept nogil +cdef void dhgeqz(char *job, char *compq, char *compz, int *n, int *ilo, int *ihi, d *h, int *ldh, d *t, int *ldt, d *alphar, d *alphai, d *beta, d *q, int *ldq, d *z, int *ldz, d *work, int *lwork, int *info) noexcept nogil +cdef void dhsein(char *side, char *eigsrc, char *initv, bint *select, int *n, d *h, int *ldh, d *wr, d *wi, d *vl, int *ldvl, d *vr, int *ldvr, int *mm, int *m, d *work, int *ifaill, int *ifailr, int *info) noexcept nogil +cdef void dhseqr(char *job, char *compz, int *n, int *ilo, int *ihi, d *h, int *ldh, d *wr, d *wi, d *z, int *ldz, d *work, int *lwork, int *info) noexcept nogil +cdef bint disnan(d *din) noexcept nogil +cdef void dlabad(d *small, d *large) noexcept nogil +cdef void dlabrd(int *m, int *n, int *nb, d *a, int *lda, d *d, d *e, d *tauq, d *taup, d *x, int *ldx, d *y, int *ldy) noexcept nogil +cdef void dlacn2(int *n, d *v, d *x, int *isgn, d *est, int *kase, int *isave) noexcept nogil +cdef void dlacon(int *n, d *v, d *x, int *isgn, d *est, int *kase) noexcept nogil +cdef void dlacpy(char *uplo, int *m, int *n, d *a, int *lda, d *b, int *ldb) noexcept nogil +cdef void dladiv(d *a, d *b, d *c, d *d, d *p, d *q) noexcept nogil +cdef void dlae2(d *a, d *b, d *c, d *rt1, d *rt2) noexcept nogil +cdef void dlaebz(int *ijob, int *nitmax, int *n, int *mmax, int *minp, int *nbmin, d *abstol, d *reltol, d *pivmin, d *d, d *e, d *e2, int *nval, d *ab, d *c, int *mout, int *nab, d *work, int *iwork, int *info) noexcept nogil +cdef void dlaed0(int *icompq, int *qsiz, int *n, d *d, d *e, d *q, int *ldq, d *qstore, int *ldqs, d *work, int *iwork, int *info) noexcept nogil +cdef void dlaed1(int *n, d *d, d *q, int *ldq, int *indxq, d *rho, int *cutpnt, d *work, int *iwork, int *info) noexcept nogil +cdef void dlaed2(int *k, int *n, int *n1, d *d, d *q, int *ldq, int *indxq, d *rho, d *z, d *dlamda, d *w, d *q2, int *indx, int *indxc, int *indxp, int *coltyp, int *info) noexcept nogil +cdef void dlaed3(int *k, int *n, int *n1, d *d, d *q, int *ldq, d *rho, d *dlamda, d *q2, int *indx, int *ctot, d *w, d *s, int *info) noexcept nogil +cdef void dlaed4(int *n, int *i, d *d, d *z, d *delta, d *rho, d *dlam, int *info) noexcept nogil +cdef void dlaed5(int *i, d *d, d *z, d *delta, d *rho, d *dlam) noexcept nogil +cdef void dlaed6(int *kniter, bint *orgati, d *rho, d *d, d *z, d *finit, d *tau, int *info) noexcept nogil +cdef void dlaed7(int *icompq, int *n, int *qsiz, int *tlvls, int *curlvl, int *curpbm, d *d, d *q, int *ldq, int *indxq, d *rho, int *cutpnt, d *qstore, int *qptr, int *prmptr, int *perm, int *givptr, int *givcol, d *givnum, d *work, int *iwork, int *info) noexcept nogil +cdef void dlaed8(int *icompq, int *k, int *n, int *qsiz, d *d, d *q, int *ldq, int *indxq, d *rho, int *cutpnt, d *z, d *dlamda, d *q2, int *ldq2, d *w, int *perm, int *givptr, int *givcol, d *givnum, int *indxp, int *indx, int *info) noexcept nogil +cdef void dlaed9(int *k, int *kstart, int *kstop, int *n, d *d, d *q, int *ldq, d *rho, d *dlamda, d *w, d *s, int *lds, int *info) noexcept nogil +cdef void dlaeda(int *n, int *tlvls, int *curlvl, int *curpbm, int *prmptr, int *perm, int *givptr, int *givcol, d *givnum, d *q, int *qptr, d *z, d *ztemp, int *info) noexcept nogil +cdef void dlaein(bint *rightv, bint *noinit, int *n, d *h, int *ldh, d *wr, d *wi, d *vr, d *vi, d *b, int *ldb, d *work, d *eps3, d *smlnum, d *bignum, int *info) noexcept nogil +cdef void dlaev2(d *a, d *b, d *c, d *rt1, d *rt2, d *cs1, d *sn1) noexcept nogil +cdef void dlaexc(bint *wantq, int *n, d *t, int *ldt, d *q, int *ldq, int *j1, int *n1, int *n2, d *work, int *info) noexcept nogil +cdef void dlag2(d *a, int *lda, d *b, int *ldb, d *safmin, d *scale1, d *scale2, d *wr1, d *wr2, d *wi) noexcept nogil +cdef void dlag2s(int *m, int *n, d *a, int *lda, s *sa, int *ldsa, int *info) noexcept nogil +cdef void dlags2(bint *upper, d *a1, d *a2, d *a3, d *b1, d *b2, d *b3, d *csu, d *snu, d *csv, d *snv, d *csq, d *snq) noexcept nogil +cdef void dlagtf(int *n, d *a, d *lambda_, d *b, d *c, d *tol, d *d, int *in_, int *info) noexcept nogil +cdef void dlagtm(char *trans, int *n, int *nrhs, d *alpha, d *dl, d *d, d *du, d *x, int *ldx, d *beta, d *b, int *ldb) noexcept nogil +cdef void dlagts(int *job, int *n, d *a, d *b, d *c, d *d, int *in_, d *y, d *tol, int *info) noexcept nogil +cdef void dlagv2(d *a, int *lda, d *b, int *ldb, d *alphar, d *alphai, d *beta, d *csl, d *snl, d *csr, d *snr) noexcept nogil +cdef void dlahqr(bint *wantt, bint *wantz, int *n, int *ilo, int *ihi, d *h, int *ldh, d *wr, d *wi, int *iloz, int *ihiz, d *z, int *ldz, int *info) noexcept nogil +cdef void dlahr2(int *n, int *k, int *nb, d *a, int *lda, d *tau, d *t, int *ldt, d *y, int *ldy) noexcept nogil +cdef void dlaic1(int *job, int *j, d *x, d *sest, d *w, d *gamma, d *sestpr, d *s, d *c) noexcept nogil +cdef void dlaln2(bint *ltrans, int *na, int *nw, d *smin, d *ca, d *a, int *lda, d *d1, d *d2, d *b, int *ldb, d *wr, d *wi, d *x, int *ldx, d *scale, d *xnorm, int *info) noexcept nogil +cdef void dlals0(int *icompq, int *nl, int *nr, int *sqre, int *nrhs, d *b, int *ldb, d *bx, int *ldbx, int *perm, int *givptr, int *givcol, int *ldgcol, d *givnum, int *ldgnum, d *poles, d *difl, d *difr, d *z, int *k, d *c, d *s, d *work, int *info) noexcept nogil +cdef void dlalsa(int *icompq, int *smlsiz, int *n, int *nrhs, d *b, int *ldb, d *bx, int *ldbx, d *u, int *ldu, d *vt, int *k, d *difl, d *difr, d *z, d *poles, int *givptr, int *givcol, int *ldgcol, int *perm, d *givnum, d *c, d *s, d *work, int *iwork, int *info) noexcept nogil +cdef void dlalsd(char *uplo, int *smlsiz, int *n, int *nrhs, d *d, d *e, d *b, int *ldb, d *rcond, int *rank, d *work, int *iwork, int *info) noexcept nogil +cdef d dlamch(char *cmach) noexcept nogil +cdef void dlamrg(int *n1, int *n2, d *a, int *dtrd1, int *dtrd2, int *index_bn) noexcept nogil +cdef int dlaneg(int *n, d *d, d *lld, d *sigma, d *pivmin, int *r) noexcept nogil +cdef d dlangb(char *norm, int *n, int *kl, int *ku, d *ab, int *ldab, d *work) noexcept nogil +cdef d dlange(char *norm, int *m, int *n, d *a, int *lda, d *work) noexcept nogil +cdef d dlangt(char *norm, int *n, d *dl, d *d_, d *du) noexcept nogil +cdef d dlanhs(char *norm, int *n, d *a, int *lda, d *work) noexcept nogil +cdef d dlansb(char *norm, char *uplo, int *n, int *k, d *ab, int *ldab, d *work) noexcept nogil +cdef d dlansf(char *norm, char *transr, char *uplo, int *n, d *a, d *work) noexcept nogil +cdef d dlansp(char *norm, char *uplo, int *n, d *ap, d *work) noexcept nogil +cdef d dlanst(char *norm, int *n, d *d_, d *e) noexcept nogil +cdef d dlansy(char *norm, char *uplo, int *n, d *a, int *lda, d *work) noexcept nogil +cdef d dlantb(char *norm, char *uplo, char *diag, int *n, int *k, d *ab, int *ldab, d *work) noexcept nogil +cdef d dlantp(char *norm, char *uplo, char *diag, int *n, d *ap, d *work) noexcept nogil +cdef d dlantr(char *norm, char *uplo, char *diag, int *m, int *n, d *a, int *lda, d *work) noexcept nogil +cdef void dlanv2(d *a, d *b, d *c, d *d, d *rt1r, d *rt1i, d *rt2r, d *rt2i, d *cs, d *sn) noexcept nogil +cdef void dlapll(int *n, d *x, int *incx, d *y, int *incy, d *ssmin) noexcept nogil +cdef void dlapmr(bint *forwrd, int *m, int *n, d *x, int *ldx, int *k) noexcept nogil +cdef void dlapmt(bint *forwrd, int *m, int *n, d *x, int *ldx, int *k) noexcept nogil +cdef d dlapy2(d *x, d *y) noexcept nogil +cdef d dlapy3(d *x, d *y, d *z) noexcept nogil +cdef void dlaqgb(int *m, int *n, int *kl, int *ku, d *ab, int *ldab, d *r, d *c, d *rowcnd, d *colcnd, d *amax, char *equed) noexcept nogil +cdef void dlaqge(int *m, int *n, d *a, int *lda, d *r, d *c, d *rowcnd, d *colcnd, d *amax, char *equed) noexcept nogil +cdef void dlaqp2(int *m, int *n, int *offset, d *a, int *lda, int *jpvt, d *tau, d *vn1, d *vn2, d *work) noexcept nogil +cdef void dlaqps(int *m, int *n, int *offset, int *nb, int *kb, d *a, int *lda, int *jpvt, d *tau, d *vn1, d *vn2, d *auxv, d *f, int *ldf) noexcept nogil +cdef void dlaqr0(bint *wantt, bint *wantz, int *n, int *ilo, int *ihi, d *h, int *ldh, d *wr, d *wi, int *iloz, int *ihiz, d *z, int *ldz, d *work, int *lwork, int *info) noexcept nogil +cdef void dlaqr1(int *n, d *h, int *ldh, d *sr1, d *si1, d *sr2, d *si2, d *v) noexcept nogil +cdef void dlaqr2(bint *wantt, bint *wantz, int *n, int *ktop, int *kbot, int *nw, d *h, int *ldh, int *iloz, int *ihiz, d *z, int *ldz, int *ns, int *nd, d *sr, d *si, d *v, int *ldv, int *nh, d *t, int *ldt, int *nv, d *wv, int *ldwv, d *work, int *lwork) noexcept nogil +cdef void dlaqr3(bint *wantt, bint *wantz, int *n, int *ktop, int *kbot, int *nw, d *h, int *ldh, int *iloz, int *ihiz, d *z, int *ldz, int *ns, int *nd, d *sr, d *si, d *v, int *ldv, int *nh, d *t, int *ldt, int *nv, d *wv, int *ldwv, d *work, int *lwork) noexcept nogil +cdef void dlaqr4(bint *wantt, bint *wantz, int *n, int *ilo, int *ihi, d *h, int *ldh, d *wr, d *wi, int *iloz, int *ihiz, d *z, int *ldz, d *work, int *lwork, int *info) noexcept nogil +cdef void dlaqr5(bint *wantt, bint *wantz, int *kacc22, int *n, int *ktop, int *kbot, int *nshfts, d *sr, d *si, d *h, int *ldh, int *iloz, int *ihiz, d *z, int *ldz, d *v, int *ldv, d *u, int *ldu, int *nv, d *wv, int *ldwv, int *nh, d *wh, int *ldwh) noexcept nogil +cdef void dlaqsb(char *uplo, int *n, int *kd, d *ab, int *ldab, d *s, d *scond, d *amax, char *equed) noexcept nogil +cdef void dlaqsp(char *uplo, int *n, d *ap, d *s, d *scond, d *amax, char *equed) noexcept nogil +cdef void dlaqsy(char *uplo, int *n, d *a, int *lda, d *s, d *scond, d *amax, char *equed) noexcept nogil +cdef void dlaqtr(bint *ltran, bint *lreal, int *n, d *t, int *ldt, d *b, d *w, d *scale, d *x, d *work, int *info) noexcept nogil +cdef void dlar1v(int *n, int *b1, int *bn, d *lambda_, d *d, d *l, d *ld, d *lld, d *pivmin, d *gaptol, d *z, bint *wantnc, int *negcnt, d *ztz, d *mingma, int *r, int *isuppz, d *nrminv, d *resid, d *rqcorr, d *work) noexcept nogil +cdef void dlar2v(int *n, d *x, d *y, d *z, int *incx, d *c, d *s, int *incc) noexcept nogil +cdef void dlarf(char *side, int *m, int *n, d *v, int *incv, d *tau, d *c, int *ldc, d *work) noexcept nogil +cdef void dlarfb(char *side, char *trans, char *direct, char *storev, int *m, int *n, int *k, d *v, int *ldv, d *t, int *ldt, d *c, int *ldc, d *work, int *ldwork) noexcept nogil +cdef void dlarfg(int *n, d *alpha, d *x, int *incx, d *tau) noexcept nogil +cdef void dlarfgp(int *n, d *alpha, d *x, int *incx, d *tau) noexcept nogil +cdef void dlarft(char *direct, char *storev, int *n, int *k, d *v, int *ldv, d *tau, d *t, int *ldt) noexcept nogil +cdef void dlarfx(char *side, int *m, int *n, d *v, d *tau, d *c, int *ldc, d *work) noexcept nogil +cdef void dlargv(int *n, d *x, int *incx, d *y, int *incy, d *c, int *incc) noexcept nogil +cdef void dlarnv(int *idist, int *iseed, int *n, d *x) noexcept nogil +cdef void dlarra(int *n, d *d, d *e, d *e2, d *spltol, d *tnrm, int *nsplit, int *isplit, int *info) noexcept nogil +cdef void dlarrb(int *n, d *d, d *lld, int *ifirst, int *ilast, d *rtol1, d *rtol2, int *offset, d *w, d *wgap, d *werr, d *work, int *iwork, d *pivmin, d *spdiam, int *twist, int *info) noexcept nogil +cdef void dlarrc(char *jobt, int *n, d *vl, d *vu, d *d, d *e, d *pivmin, int *eigcnt, int *lcnt, int *rcnt, int *info) noexcept nogil +cdef void dlarrd(char *range, char *order, int *n, d *vl, d *vu, int *il, int *iu, d *gers, d *reltol, d *d, d *e, d *e2, d *pivmin, int *nsplit, int *isplit, int *m, d *w, d *werr, d *wl, d *wu, int *iblock, int *indexw, d *work, int *iwork, int *info) noexcept nogil +cdef void dlarre(char *range, int *n, d *vl, d *vu, int *il, int *iu, d *d, d *e, d *e2, d *rtol1, d *rtol2, d *spltol, int *nsplit, int *isplit, int *m, d *w, d *werr, d *wgap, int *iblock, int *indexw, d *gers, d *pivmin, d *work, int *iwork, int *info) noexcept nogil +cdef void dlarrf(int *n, d *d, d *l, d *ld, int *clstrt, int *clend, d *w, d *wgap, d *werr, d *spdiam, d *clgapl, d *clgapr, d *pivmin, d *sigma, d *dplus, d *lplus, d *work, int *info) noexcept nogil +cdef void dlarrj(int *n, d *d, d *e2, int *ifirst, int *ilast, d *rtol, int *offset, d *w, d *werr, d *work, int *iwork, d *pivmin, d *spdiam, int *info) noexcept nogil +cdef void dlarrk(int *n, int *iw, d *gl, d *gu, d *d, d *e2, d *pivmin, d *reltol, d *w, d *werr, int *info) noexcept nogil +cdef void dlarrr(int *n, d *d, d *e, int *info) noexcept nogil +cdef void dlarrv(int *n, d *vl, d *vu, d *d, d *l, d *pivmin, int *isplit, int *m, int *dol, int *dou, d *minrgp, d *rtol1, d *rtol2, d *w, d *werr, d *wgap, int *iblock, int *indexw, d *gers, d *z, int *ldz, int *isuppz, d *work, int *iwork, int *info) noexcept nogil +cdef void dlartg(d *f, d *g, d *cs, d *sn, d *r) noexcept nogil +cdef void dlartgp(d *f, d *g, d *cs, d *sn, d *r) noexcept nogil +cdef void dlartgs(d *x, d *y, d *sigma, d *cs, d *sn) noexcept nogil +cdef void dlartv(int *n, d *x, int *incx, d *y, int *incy, d *c, d *s, int *incc) noexcept nogil +cdef void dlaruv(int *iseed, int *n, d *x) noexcept nogil +cdef void dlarz(char *side, int *m, int *n, int *l, d *v, int *incv, d *tau, d *c, int *ldc, d *work) noexcept nogil +cdef void dlarzb(char *side, char *trans, char *direct, char *storev, int *m, int *n, int *k, int *l, d *v, int *ldv, d *t, int *ldt, d *c, int *ldc, d *work, int *ldwork) noexcept nogil +cdef void dlarzt(char *direct, char *storev, int *n, int *k, d *v, int *ldv, d *tau, d *t, int *ldt) noexcept nogil +cdef void dlas2(d *f, d *g, d *h, d *ssmin, d *ssmax) noexcept nogil +cdef void dlascl(char *type_bn, int *kl, int *ku, d *cfrom, d *cto, int *m, int *n, d *a, int *lda, int *info) noexcept nogil +cdef void dlasd0(int *n, int *sqre, d *d, d *e, d *u, int *ldu, d *vt, int *ldvt, int *smlsiz, int *iwork, d *work, int *info) noexcept nogil +cdef void dlasd1(int *nl, int *nr, int *sqre, d *d, d *alpha, d *beta, d *u, int *ldu, d *vt, int *ldvt, int *idxq, int *iwork, d *work, int *info) noexcept nogil +cdef void dlasd2(int *nl, int *nr, int *sqre, int *k, d *d, d *z, d *alpha, d *beta, d *u, int *ldu, d *vt, int *ldvt, d *dsigma, d *u2, int *ldu2, d *vt2, int *ldvt2, int *idxp, int *idx, int *idxc, int *idxq, int *coltyp, int *info) noexcept nogil +cdef void dlasd3(int *nl, int *nr, int *sqre, int *k, d *d, d *q, int *ldq, d *dsigma, d *u, int *ldu, d *u2, int *ldu2, d *vt, int *ldvt, d *vt2, int *ldvt2, int *idxc, int *ctot, d *z, int *info) noexcept nogil +cdef void dlasd4(int *n, int *i, d *d, d *z, d *delta, d *rho, d *sigma, d *work, int *info) noexcept nogil +cdef void dlasd5(int *i, d *d, d *z, d *delta, d *rho, d *dsigma, d *work) noexcept nogil +cdef void dlasd6(int *icompq, int *nl, int *nr, int *sqre, d *d, d *vf, d *vl, d *alpha, d *beta, int *idxq, int *perm, int *givptr, int *givcol, int *ldgcol, d *givnum, int *ldgnum, d *poles, d *difl, d *difr, d *z, int *k, d *c, d *s, d *work, int *iwork, int *info) noexcept nogil +cdef void dlasd7(int *icompq, int *nl, int *nr, int *sqre, int *k, d *d, d *z, d *zw, d *vf, d *vfw, d *vl, d *vlw, d *alpha, d *beta, d *dsigma, int *idx, int *idxp, int *idxq, int *perm, int *givptr, int *givcol, int *ldgcol, d *givnum, int *ldgnum, d *c, d *s, int *info) noexcept nogil +cdef void dlasd8(int *icompq, int *k, d *d, d *z, d *vf, d *vl, d *difl, d *difr, int *lddifr, d *dsigma, d *work, int *info) noexcept nogil +cdef void dlasda(int *icompq, int *smlsiz, int *n, int *sqre, d *d, d *e, d *u, int *ldu, d *vt, int *k, d *difl, d *difr, d *z, d *poles, int *givptr, int *givcol, int *ldgcol, int *perm, d *givnum, d *c, d *s, d *work, int *iwork, int *info) noexcept nogil +cdef void dlasdq(char *uplo, int *sqre, int *n, int *ncvt, int *nru, int *ncc, d *d, d *e, d *vt, int *ldvt, d *u, int *ldu, d *c, int *ldc, d *work, int *info) noexcept nogil +cdef void dlasdt(int *n, int *lvl, int *nd, int *inode, int *ndiml, int *ndimr, int *msub) noexcept nogil +cdef void dlaset(char *uplo, int *m, int *n, d *alpha, d *beta, d *a, int *lda) noexcept nogil +cdef void dlasq1(int *n, d *d, d *e, d *work, int *info) noexcept nogil +cdef void dlasq2(int *n, d *z, int *info) noexcept nogil +cdef void dlasq3(int *i0, int *n0, d *z, int *pp, d *dmin, d *sigma, d *desig, d *qmax, int *nfail, int *iter, int *ndiv, bint *ieee, int *ttype, d *dmin1, d *dmin2, d *dn, d *dn1, d *dn2, d *g, d *tau) noexcept nogil +cdef void dlasq4(int *i0, int *n0, d *z, int *pp, int *n0in, d *dmin, d *dmin1, d *dmin2, d *dn, d *dn1, d *dn2, d *tau, int *ttype, d *g) noexcept nogil +cdef void dlasq6(int *i0, int *n0, d *z, int *pp, d *dmin, d *dmin1, d *dmin2, d *dn, d *dnm1, d *dnm2) noexcept nogil +cdef void dlasr(char *side, char *pivot, char *direct, int *m, int *n, d *c, d *s, d *a, int *lda) noexcept nogil +cdef void dlasrt(char *id, int *n, d *d, int *info) noexcept nogil +cdef void dlassq(int *n, d *x, int *incx, d *scale, d *sumsq) noexcept nogil +cdef void dlasv2(d *f, d *g, d *h, d *ssmin, d *ssmax, d *snr, d *csr, d *snl, d *csl) noexcept nogil +cdef void dlaswp(int *n, d *a, int *lda, int *k1, int *k2, int *ipiv, int *incx) noexcept nogil +cdef void dlasy2(bint *ltranl, bint *ltranr, int *isgn, int *n1, int *n2, d *tl, int *ldtl, d *tr, int *ldtr, d *b, int *ldb, d *scale, d *x, int *ldx, d *xnorm, int *info) noexcept nogil +cdef void dlasyf(char *uplo, int *n, int *nb, int *kb, d *a, int *lda, int *ipiv, d *w, int *ldw, int *info) noexcept nogil +cdef void dlat2s(char *uplo, int *n, d *a, int *lda, s *sa, int *ldsa, int *info) noexcept nogil +cdef void dlatbs(char *uplo, char *trans, char *diag, char *normin, int *n, int *kd, d *ab, int *ldab, d *x, d *scale, d *cnorm, int *info) noexcept nogil +cdef void dlatdf(int *ijob, int *n, d *z, int *ldz, d *rhs, d *rdsum, d *rdscal, int *ipiv, int *jpiv) noexcept nogil +cdef void dlatps(char *uplo, char *trans, char *diag, char *normin, int *n, d *ap, d *x, d *scale, d *cnorm, int *info) noexcept nogil +cdef void dlatrd(char *uplo, int *n, int *nb, d *a, int *lda, d *e, d *tau, d *w, int *ldw) noexcept nogil +cdef void dlatrs(char *uplo, char *trans, char *diag, char *normin, int *n, d *a, int *lda, d *x, d *scale, d *cnorm, int *info) noexcept nogil +cdef void dlatrz(int *m, int *n, int *l, d *a, int *lda, d *tau, d *work) noexcept nogil +cdef void dlauu2(char *uplo, int *n, d *a, int *lda, int *info) noexcept nogil +cdef void dlauum(char *uplo, int *n, d *a, int *lda, int *info) noexcept nogil +cdef void dopgtr(char *uplo, int *n, d *ap, d *tau, d *q, int *ldq, d *work, int *info) noexcept nogil +cdef void dopmtr(char *side, char *uplo, char *trans, int *m, int *n, d *ap, d *tau, d *c, int *ldc, d *work, int *info) noexcept nogil +cdef void dorbdb(char *trans, char *signs, int *m, int *p, int *q, d *x11, int *ldx11, d *x12, int *ldx12, d *x21, int *ldx21, d *x22, int *ldx22, d *theta, d *phi, d *taup1, d *taup2, d *tauq1, d *tauq2, d *work, int *lwork, int *info) noexcept nogil +cdef void dorcsd(char *jobu1, char *jobu2, char *jobv1t, char *jobv2t, char *trans, char *signs, int *m, int *p, int *q, d *x11, int *ldx11, d *x12, int *ldx12, d *x21, int *ldx21, d *x22, int *ldx22, d *theta, d *u1, int *ldu1, d *u2, int *ldu2, d *v1t, int *ldv1t, d *v2t, int *ldv2t, d *work, int *lwork, int *iwork, int *info) noexcept nogil +cdef void dorg2l(int *m, int *n, int *k, d *a, int *lda, d *tau, d *work, int *info) noexcept nogil +cdef void dorg2r(int *m, int *n, int *k, d *a, int *lda, d *tau, d *work, int *info) noexcept nogil +cdef void dorgbr(char *vect, int *m, int *n, int *k, d *a, int *lda, d *tau, d *work, int *lwork, int *info) noexcept nogil +cdef void dorghr(int *n, int *ilo, int *ihi, d *a, int *lda, d *tau, d *work, int *lwork, int *info) noexcept nogil +cdef void dorgl2(int *m, int *n, int *k, d *a, int *lda, d *tau, d *work, int *info) noexcept nogil +cdef void dorglq(int *m, int *n, int *k, d *a, int *lda, d *tau, d *work, int *lwork, int *info) noexcept nogil +cdef void dorgql(int *m, int *n, int *k, d *a, int *lda, d *tau, d *work, int *lwork, int *info) noexcept nogil +cdef void dorgqr(int *m, int *n, int *k, d *a, int *lda, d *tau, d *work, int *lwork, int *info) noexcept nogil +cdef void dorgr2(int *m, int *n, int *k, d *a, int *lda, d *tau, d *work, int *info) noexcept nogil +cdef void dorgrq(int *m, int *n, int *k, d *a, int *lda, d *tau, d *work, int *lwork, int *info) noexcept nogil +cdef void dorgtr(char *uplo, int *n, d *a, int *lda, d *tau, d *work, int *lwork, int *info) noexcept nogil +cdef void dorm2l(char *side, char *trans, int *m, int *n, int *k, d *a, int *lda, d *tau, d *c, int *ldc, d *work, int *info) noexcept nogil +cdef void dorm2r(char *side, char *trans, int *m, int *n, int *k, d *a, int *lda, d *tau, d *c, int *ldc, d *work, int *info) noexcept nogil +cdef void dormbr(char *vect, char *side, char *trans, int *m, int *n, int *k, d *a, int *lda, d *tau, d *c, int *ldc, d *work, int *lwork, int *info) noexcept nogil +cdef void dormhr(char *side, char *trans, int *m, int *n, int *ilo, int *ihi, d *a, int *lda, d *tau, d *c, int *ldc, d *work, int *lwork, int *info) noexcept nogil +cdef void dorml2(char *side, char *trans, int *m, int *n, int *k, d *a, int *lda, d *tau, d *c, int *ldc, d *work, int *info) noexcept nogil +cdef void dormlq(char *side, char *trans, int *m, int *n, int *k, d *a, int *lda, d *tau, d *c, int *ldc, d *work, int *lwork, int *info) noexcept nogil +cdef void dormql(char *side, char *trans, int *m, int *n, int *k, d *a, int *lda, d *tau, d *c, int *ldc, d *work, int *lwork, int *info) noexcept nogil +cdef void dormqr(char *side, char *trans, int *m, int *n, int *k, d *a, int *lda, d *tau, d *c, int *ldc, d *work, int *lwork, int *info) noexcept nogil +cdef void dormr2(char *side, char *trans, int *m, int *n, int *k, d *a, int *lda, d *tau, d *c, int *ldc, d *work, int *info) noexcept nogil +cdef void dormr3(char *side, char *trans, int *m, int *n, int *k, int *l, d *a, int *lda, d *tau, d *c, int *ldc, d *work, int *info) noexcept nogil +cdef void dormrq(char *side, char *trans, int *m, int *n, int *k, d *a, int *lda, d *tau, d *c, int *ldc, d *work, int *lwork, int *info) noexcept nogil +cdef void dormrz(char *side, char *trans, int *m, int *n, int *k, int *l, d *a, int *lda, d *tau, d *c, int *ldc, d *work, int *lwork, int *info) noexcept nogil +cdef void dormtr(char *side, char *uplo, char *trans, int *m, int *n, d *a, int *lda, d *tau, d *c, int *ldc, d *work, int *lwork, int *info) noexcept nogil +cdef void dpbcon(char *uplo, int *n, int *kd, d *ab, int *ldab, d *anorm, d *rcond, d *work, int *iwork, int *info) noexcept nogil +cdef void dpbequ(char *uplo, int *n, int *kd, d *ab, int *ldab, d *s, d *scond, d *amax, int *info) noexcept nogil +cdef void dpbrfs(char *uplo, int *n, int *kd, int *nrhs, d *ab, int *ldab, d *afb, int *ldafb, d *b, int *ldb, d *x, int *ldx, d *ferr, d *berr, d *work, int *iwork, int *info) noexcept nogil +cdef void dpbstf(char *uplo, int *n, int *kd, d *ab, int *ldab, int *info) noexcept nogil +cdef void dpbsv(char *uplo, int *n, int *kd, int *nrhs, d *ab, int *ldab, d *b, int *ldb, int *info) noexcept nogil +cdef void dpbsvx(char *fact, char *uplo, int *n, int *kd, int *nrhs, d *ab, int *ldab, d *afb, int *ldafb, char *equed, d *s, d *b, int *ldb, d *x, int *ldx, d *rcond, d *ferr, d *berr, d *work, int *iwork, int *info) noexcept nogil +cdef void dpbtf2(char *uplo, int *n, int *kd, d *ab, int *ldab, int *info) noexcept nogil +cdef void dpbtrf(char *uplo, int *n, int *kd, d *ab, int *ldab, int *info) noexcept nogil +cdef void dpbtrs(char *uplo, int *n, int *kd, int *nrhs, d *ab, int *ldab, d *b, int *ldb, int *info) noexcept nogil +cdef void dpftrf(char *transr, char *uplo, int *n, d *a, int *info) noexcept nogil +cdef void dpftri(char *transr, char *uplo, int *n, d *a, int *info) noexcept nogil +cdef void dpftrs(char *transr, char *uplo, int *n, int *nrhs, d *a, d *b, int *ldb, int *info) noexcept nogil +cdef void dpocon(char *uplo, int *n, d *a, int *lda, d *anorm, d *rcond, d *work, int *iwork, int *info) noexcept nogil +cdef void dpoequ(int *n, d *a, int *lda, d *s, d *scond, d *amax, int *info) noexcept nogil +cdef void dpoequb(int *n, d *a, int *lda, d *s, d *scond, d *amax, int *info) noexcept nogil +cdef void dporfs(char *uplo, int *n, int *nrhs, d *a, int *lda, d *af, int *ldaf, d *b, int *ldb, d *x, int *ldx, d *ferr, d *berr, d *work, int *iwork, int *info) noexcept nogil +cdef void dposv(char *uplo, int *n, int *nrhs, d *a, int *lda, d *b, int *ldb, int *info) noexcept nogil +cdef void dposvx(char *fact, char *uplo, int *n, int *nrhs, d *a, int *lda, d *af, int *ldaf, char *equed, d *s, d *b, int *ldb, d *x, int *ldx, d *rcond, d *ferr, d *berr, d *work, int *iwork, int *info) noexcept nogil +cdef void dpotf2(char *uplo, int *n, d *a, int *lda, int *info) noexcept nogil +cdef void dpotrf(char *uplo, int *n, d *a, int *lda, int *info) noexcept nogil +cdef void dpotri(char *uplo, int *n, d *a, int *lda, int *info) noexcept nogil +cdef void dpotrs(char *uplo, int *n, int *nrhs, d *a, int *lda, d *b, int *ldb, int *info) noexcept nogil +cdef void dppcon(char *uplo, int *n, d *ap, d *anorm, d *rcond, d *work, int *iwork, int *info) noexcept nogil +cdef void dppequ(char *uplo, int *n, d *ap, d *s, d *scond, d *amax, int *info) noexcept nogil +cdef void dpprfs(char *uplo, int *n, int *nrhs, d *ap, d *afp, d *b, int *ldb, d *x, int *ldx, d *ferr, d *berr, d *work, int *iwork, int *info) noexcept nogil +cdef void dppsv(char *uplo, int *n, int *nrhs, d *ap, d *b, int *ldb, int *info) noexcept nogil +cdef void dppsvx(char *fact, char *uplo, int *n, int *nrhs, d *ap, d *afp, char *equed, d *s, d *b, int *ldb, d *x, int *ldx, d *rcond, d *ferr, d *berr, d *work, int *iwork, int *info) noexcept nogil +cdef void dpptrf(char *uplo, int *n, d *ap, int *info) noexcept nogil +cdef void dpptri(char *uplo, int *n, d *ap, int *info) noexcept nogil +cdef void dpptrs(char *uplo, int *n, int *nrhs, d *ap, d *b, int *ldb, int *info) noexcept nogil +cdef void dpstf2(char *uplo, int *n, d *a, int *lda, int *piv, int *rank, d *tol, d *work, int *info) noexcept nogil +cdef void dpstrf(char *uplo, int *n, d *a, int *lda, int *piv, int *rank, d *tol, d *work, int *info) noexcept nogil +cdef void dptcon(int *n, d *d, d *e, d *anorm, d *rcond, d *work, int *info) noexcept nogil +cdef void dpteqr(char *compz, int *n, d *d, d *e, d *z, int *ldz, d *work, int *info) noexcept nogil +cdef void dptrfs(int *n, int *nrhs, d *d, d *e, d *df, d *ef, d *b, int *ldb, d *x, int *ldx, d *ferr, d *berr, d *work, int *info) noexcept nogil +cdef void dptsv(int *n, int *nrhs, d *d, d *e, d *b, int *ldb, int *info) noexcept nogil +cdef void dptsvx(char *fact, int *n, int *nrhs, d *d, d *e, d *df, d *ef, d *b, int *ldb, d *x, int *ldx, d *rcond, d *ferr, d *berr, d *work, int *info) noexcept nogil +cdef void dpttrf(int *n, d *d, d *e, int *info) noexcept nogil +cdef void dpttrs(int *n, int *nrhs, d *d, d *e, d *b, int *ldb, int *info) noexcept nogil +cdef void dptts2(int *n, int *nrhs, d *d, d *e, d *b, int *ldb) noexcept nogil +cdef void drscl(int *n, d *sa, d *sx, int *incx) noexcept nogil +cdef void dsbev(char *jobz, char *uplo, int *n, int *kd, d *ab, int *ldab, d *w, d *z, int *ldz, d *work, int *info) noexcept nogil +cdef void dsbevd(char *jobz, char *uplo, int *n, int *kd, d *ab, int *ldab, d *w, d *z, int *ldz, d *work, int *lwork, int *iwork, int *liwork, int *info) noexcept nogil +cdef void dsbevx(char *jobz, char *range, char *uplo, int *n, int *kd, d *ab, int *ldab, d *q, int *ldq, d *vl, d *vu, int *il, int *iu, d *abstol, int *m, d *w, d *z, int *ldz, d *work, int *iwork, int *ifail, int *info) noexcept nogil +cdef void dsbgst(char *vect, char *uplo, int *n, int *ka, int *kb, d *ab, int *ldab, d *bb, int *ldbb, d *x, int *ldx, d *work, int *info) noexcept nogil +cdef void dsbgv(char *jobz, char *uplo, int *n, int *ka, int *kb, d *ab, int *ldab, d *bb, int *ldbb, d *w, d *z, int *ldz, d *work, int *info) noexcept nogil +cdef void dsbgvd(char *jobz, char *uplo, int *n, int *ka, int *kb, d *ab, int *ldab, d *bb, int *ldbb, d *w, d *z, int *ldz, d *work, int *lwork, int *iwork, int *liwork, int *info) noexcept nogil +cdef void dsbgvx(char *jobz, char *range, char *uplo, int *n, int *ka, int *kb, d *ab, int *ldab, d *bb, int *ldbb, d *q, int *ldq, d *vl, d *vu, int *il, int *iu, d *abstol, int *m, d *w, d *z, int *ldz, d *work, int *iwork, int *ifail, int *info) noexcept nogil +cdef void dsbtrd(char *vect, char *uplo, int *n, int *kd, d *ab, int *ldab, d *d, d *e, d *q, int *ldq, d *work, int *info) noexcept nogil +cdef void dsfrk(char *transr, char *uplo, char *trans, int *n, int *k, d *alpha, d *a, int *lda, d *beta, d *c) noexcept nogil +cdef void dsgesv(int *n, int *nrhs, d *a, int *lda, int *ipiv, d *b, int *ldb, d *x, int *ldx, d *work, s *swork, int *iter, int *info) noexcept nogil +cdef void dspcon(char *uplo, int *n, d *ap, int *ipiv, d *anorm, d *rcond, d *work, int *iwork, int *info) noexcept nogil +cdef void dspev(char *jobz, char *uplo, int *n, d *ap, d *w, d *z, int *ldz, d *work, int *info) noexcept nogil +cdef void dspevd(char *jobz, char *uplo, int *n, d *ap, d *w, d *z, int *ldz, d *work, int *lwork, int *iwork, int *liwork, int *info) noexcept nogil +cdef void dspevx(char *jobz, char *range, char *uplo, int *n, d *ap, d *vl, d *vu, int *il, int *iu, d *abstol, int *m, d *w, d *z, int *ldz, d *work, int *iwork, int *ifail, int *info) noexcept nogil +cdef void dspgst(int *itype, char *uplo, int *n, d *ap, d *bp, int *info) noexcept nogil +cdef void dspgv(int *itype, char *jobz, char *uplo, int *n, d *ap, d *bp, d *w, d *z, int *ldz, d *work, int *info) noexcept nogil +cdef void dspgvd(int *itype, char *jobz, char *uplo, int *n, d *ap, d *bp, d *w, d *z, int *ldz, d *work, int *lwork, int *iwork, int *liwork, int *info) noexcept nogil +cdef void dspgvx(int *itype, char *jobz, char *range, char *uplo, int *n, d *ap, d *bp, d *vl, d *vu, int *il, int *iu, d *abstol, int *m, d *w, d *z, int *ldz, d *work, int *iwork, int *ifail, int *info) noexcept nogil +cdef void dsposv(char *uplo, int *n, int *nrhs, d *a, int *lda, d *b, int *ldb, d *x, int *ldx, d *work, s *swork, int *iter, int *info) noexcept nogil +cdef void dsprfs(char *uplo, int *n, int *nrhs, d *ap, d *afp, int *ipiv, d *b, int *ldb, d *x, int *ldx, d *ferr, d *berr, d *work, int *iwork, int *info) noexcept nogil +cdef void dspsv(char *uplo, int *n, int *nrhs, d *ap, int *ipiv, d *b, int *ldb, int *info) noexcept nogil +cdef void dspsvx(char *fact, char *uplo, int *n, int *nrhs, d *ap, d *afp, int *ipiv, d *b, int *ldb, d *x, int *ldx, d *rcond, d *ferr, d *berr, d *work, int *iwork, int *info) noexcept nogil +cdef void dsptrd(char *uplo, int *n, d *ap, d *d, d *e, d *tau, int *info) noexcept nogil +cdef void dsptrf(char *uplo, int *n, d *ap, int *ipiv, int *info) noexcept nogil +cdef void dsptri(char *uplo, int *n, d *ap, int *ipiv, d *work, int *info) noexcept nogil +cdef void dsptrs(char *uplo, int *n, int *nrhs, d *ap, int *ipiv, d *b, int *ldb, int *info) noexcept nogil +cdef void dstebz(char *range, char *order, int *n, d *vl, d *vu, int *il, int *iu, d *abstol, d *d, d *e, int *m, int *nsplit, d *w, int *iblock, int *isplit, d *work, int *iwork, int *info) noexcept nogil +cdef void dstedc(char *compz, int *n, d *d, d *e, d *z, int *ldz, d *work, int *lwork, int *iwork, int *liwork, int *info) noexcept nogil +cdef void dstegr(char *jobz, char *range, int *n, d *d, d *e, d *vl, d *vu, int *il, int *iu, d *abstol, int *m, d *w, d *z, int *ldz, int *isuppz, d *work, int *lwork, int *iwork, int *liwork, int *info) noexcept nogil +cdef void dstein(int *n, d *d, d *e, int *m, d *w, int *iblock, int *isplit, d *z, int *ldz, d *work, int *iwork, int *ifail, int *info) noexcept nogil +cdef void dstemr(char *jobz, char *range, int *n, d *d, d *e, d *vl, d *vu, int *il, int *iu, int *m, d *w, d *z, int *ldz, int *nzc, int *isuppz, bint *tryrac, d *work, int *lwork, int *iwork, int *liwork, int *info) noexcept nogil +cdef void dsteqr(char *compz, int *n, d *d, d *e, d *z, int *ldz, d *work, int *info) noexcept nogil +cdef void dsterf(int *n, d *d, d *e, int *info) noexcept nogil +cdef void dstev(char *jobz, int *n, d *d, d *e, d *z, int *ldz, d *work, int *info) noexcept nogil +cdef void dstevd(char *jobz, int *n, d *d, d *e, d *z, int *ldz, d *work, int *lwork, int *iwork, int *liwork, int *info) noexcept nogil +cdef void dstevr(char *jobz, char *range, int *n, d *d, d *e, d *vl, d *vu, int *il, int *iu, d *abstol, int *m, d *w, d *z, int *ldz, int *isuppz, d *work, int *lwork, int *iwork, int *liwork, int *info) noexcept nogil +cdef void dstevx(char *jobz, char *range, int *n, d *d, d *e, d *vl, d *vu, int *il, int *iu, d *abstol, int *m, d *w, d *z, int *ldz, d *work, int *iwork, int *ifail, int *info) noexcept nogil +cdef void dsycon(char *uplo, int *n, d *a, int *lda, int *ipiv, d *anorm, d *rcond, d *work, int *iwork, int *info) noexcept nogil +cdef void dsyconv(char *uplo, char *way, int *n, d *a, int *lda, int *ipiv, d *work, int *info) noexcept nogil +cdef void dsyequb(char *uplo, int *n, d *a, int *lda, d *s, d *scond, d *amax, d *work, int *info) noexcept nogil +cdef void dsyev(char *jobz, char *uplo, int *n, d *a, int *lda, d *w, d *work, int *lwork, int *info) noexcept nogil +cdef void dsyevd(char *jobz, char *uplo, int *n, d *a, int *lda, d *w, d *work, int *lwork, int *iwork, int *liwork, int *info) noexcept nogil +cdef void dsyevr(char *jobz, char *range, char *uplo, int *n, d *a, int *lda, d *vl, d *vu, int *il, int *iu, d *abstol, int *m, d *w, d *z, int *ldz, int *isuppz, d *work, int *lwork, int *iwork, int *liwork, int *info) noexcept nogil +cdef void dsyevx(char *jobz, char *range, char *uplo, int *n, d *a, int *lda, d *vl, d *vu, int *il, int *iu, d *abstol, int *m, d *w, d *z, int *ldz, d *work, int *lwork, int *iwork, int *ifail, int *info) noexcept nogil +cdef void dsygs2(int *itype, char *uplo, int *n, d *a, int *lda, d *b, int *ldb, int *info) noexcept nogil +cdef void dsygst(int *itype, char *uplo, int *n, d *a, int *lda, d *b, int *ldb, int *info) noexcept nogil +cdef void dsygv(int *itype, char *jobz, char *uplo, int *n, d *a, int *lda, d *b, int *ldb, d *w, d *work, int *lwork, int *info) noexcept nogil +cdef void dsygvd(int *itype, char *jobz, char *uplo, int *n, d *a, int *lda, d *b, int *ldb, d *w, d *work, int *lwork, int *iwork, int *liwork, int *info) noexcept nogil +cdef void dsygvx(int *itype, char *jobz, char *range, char *uplo, int *n, d *a, int *lda, d *b, int *ldb, d *vl, d *vu, int *il, int *iu, d *abstol, int *m, d *w, d *z, int *ldz, d *work, int *lwork, int *iwork, int *ifail, int *info) noexcept nogil +cdef void dsyrfs(char *uplo, int *n, int *nrhs, d *a, int *lda, d *af, int *ldaf, int *ipiv, d *b, int *ldb, d *x, int *ldx, d *ferr, d *berr, d *work, int *iwork, int *info) noexcept nogil +cdef void dsysv(char *uplo, int *n, int *nrhs, d *a, int *lda, int *ipiv, d *b, int *ldb, d *work, int *lwork, int *info) noexcept nogil +cdef void dsysvx(char *fact, char *uplo, int *n, int *nrhs, d *a, int *lda, d *af, int *ldaf, int *ipiv, d *b, int *ldb, d *x, int *ldx, d *rcond, d *ferr, d *berr, d *work, int *lwork, int *iwork, int *info) noexcept nogil +cdef void dsyswapr(char *uplo, int *n, d *a, int *lda, int *i1, int *i2) noexcept nogil +cdef void dsytd2(char *uplo, int *n, d *a, int *lda, d *d, d *e, d *tau, int *info) noexcept nogil +cdef void dsytf2(char *uplo, int *n, d *a, int *lda, int *ipiv, int *info) noexcept nogil +cdef void dsytrd(char *uplo, int *n, d *a, int *lda, d *d, d *e, d *tau, d *work, int *lwork, int *info) noexcept nogil +cdef void dsytrf(char *uplo, int *n, d *a, int *lda, int *ipiv, d *work, int *lwork, int *info) noexcept nogil +cdef void dsytri(char *uplo, int *n, d *a, int *lda, int *ipiv, d *work, int *info) noexcept nogil +cdef void dsytri2(char *uplo, int *n, d *a, int *lda, int *ipiv, d *work, int *lwork, int *info) noexcept nogil +cdef void dsytri2x(char *uplo, int *n, d *a, int *lda, int *ipiv, d *work, int *nb, int *info) noexcept nogil +cdef void dsytrs(char *uplo, int *n, int *nrhs, d *a, int *lda, int *ipiv, d *b, int *ldb, int *info) noexcept nogil +cdef void dsytrs2(char *uplo, int *n, int *nrhs, d *a, int *lda, int *ipiv, d *b, int *ldb, d *work, int *info) noexcept nogil +cdef void dtbcon(char *norm, char *uplo, char *diag, int *n, int *kd, d *ab, int *ldab, d *rcond, d *work, int *iwork, int *info) noexcept nogil +cdef void dtbrfs(char *uplo, char *trans, char *diag, int *n, int *kd, int *nrhs, d *ab, int *ldab, d *b, int *ldb, d *x, int *ldx, d *ferr, d *berr, d *work, int *iwork, int *info) noexcept nogil +cdef void dtbtrs(char *uplo, char *trans, char *diag, int *n, int *kd, int *nrhs, d *ab, int *ldab, d *b, int *ldb, int *info) noexcept nogil +cdef void dtfsm(char *transr, char *side, char *uplo, char *trans, char *diag, int *m, int *n, d *alpha, d *a, d *b, int *ldb) noexcept nogil +cdef void dtftri(char *transr, char *uplo, char *diag, int *n, d *a, int *info) noexcept nogil +cdef void dtfttp(char *transr, char *uplo, int *n, d *arf, d *ap, int *info) noexcept nogil +cdef void dtfttr(char *transr, char *uplo, int *n, d *arf, d *a, int *lda, int *info) noexcept nogil +cdef void dtgevc(char *side, char *howmny, bint *select, int *n, d *s, int *lds, d *p, int *ldp, d *vl, int *ldvl, d *vr, int *ldvr, int *mm, int *m, d *work, int *info) noexcept nogil +cdef void dtgex2(bint *wantq, bint *wantz, int *n, d *a, int *lda, d *b, int *ldb, d *q, int *ldq, d *z, int *ldz, int *j1, int *n1, int *n2, d *work, int *lwork, int *info) noexcept nogil +cdef void dtgexc(bint *wantq, bint *wantz, int *n, d *a, int *lda, d *b, int *ldb, d *q, int *ldq, d *z, int *ldz, int *ifst, int *ilst, d *work, int *lwork, int *info) noexcept nogil +cdef void dtgsen(int *ijob, bint *wantq, bint *wantz, bint *select, int *n, d *a, int *lda, d *b, int *ldb, d *alphar, d *alphai, d *beta, d *q, int *ldq, d *z, int *ldz, int *m, d *pl, d *pr, d *dif, d *work, int *lwork, int *iwork, int *liwork, int *info) noexcept nogil +cdef void dtgsja(char *jobu, char *jobv, char *jobq, int *m, int *p, int *n, int *k, int *l, d *a, int *lda, d *b, int *ldb, d *tola, d *tolb, d *alpha, d *beta, d *u, int *ldu, d *v, int *ldv, d *q, int *ldq, d *work, int *ncycle, int *info) noexcept nogil +cdef void dtgsna(char *job, char *howmny, bint *select, int *n, d *a, int *lda, d *b, int *ldb, d *vl, int *ldvl, d *vr, int *ldvr, d *s, d *dif, int *mm, int *m, d *work, int *lwork, int *iwork, int *info) noexcept nogil +cdef void dtgsy2(char *trans, int *ijob, int *m, int *n, d *a, int *lda, d *b, int *ldb, d *c, int *ldc, d *d, int *ldd, d *e, int *lde, d *f, int *ldf, d *scale, d *rdsum, d *rdscal, int *iwork, int *pq, int *info) noexcept nogil +cdef void dtgsyl(char *trans, int *ijob, int *m, int *n, d *a, int *lda, d *b, int *ldb, d *c, int *ldc, d *d, int *ldd, d *e, int *lde, d *f, int *ldf, d *scale, d *dif, d *work, int *lwork, int *iwork, int *info) noexcept nogil +cdef void dtpcon(char *norm, char *uplo, char *diag, int *n, d *ap, d *rcond, d *work, int *iwork, int *info) noexcept nogil +cdef void dtpmqrt(char *side, char *trans, int *m, int *n, int *k, int *l, int *nb, d *v, int *ldv, d *t, int *ldt, d *a, int *lda, d *b, int *ldb, d *work, int *info) noexcept nogil +cdef void dtpqrt(int *m, int *n, int *l, int *nb, d *a, int *lda, d *b, int *ldb, d *t, int *ldt, d *work, int *info) noexcept nogil +cdef void dtpqrt2(int *m, int *n, int *l, d *a, int *lda, d *b, int *ldb, d *t, int *ldt, int *info) noexcept nogil +cdef void dtprfb(char *side, char *trans, char *direct, char *storev, int *m, int *n, int *k, int *l, d *v, int *ldv, d *t, int *ldt, d *a, int *lda, d *b, int *ldb, d *work, int *ldwork) noexcept nogil +cdef void dtprfs(char *uplo, char *trans, char *diag, int *n, int *nrhs, d *ap, d *b, int *ldb, d *x, int *ldx, d *ferr, d *berr, d *work, int *iwork, int *info) noexcept nogil +cdef void dtptri(char *uplo, char *diag, int *n, d *ap, int *info) noexcept nogil +cdef void dtptrs(char *uplo, char *trans, char *diag, int *n, int *nrhs, d *ap, d *b, int *ldb, int *info) noexcept nogil +cdef void dtpttf(char *transr, char *uplo, int *n, d *ap, d *arf, int *info) noexcept nogil +cdef void dtpttr(char *uplo, int *n, d *ap, d *a, int *lda, int *info) noexcept nogil +cdef void dtrcon(char *norm, char *uplo, char *diag, int *n, d *a, int *lda, d *rcond, d *work, int *iwork, int *info) noexcept nogil +cdef void dtrevc(char *side, char *howmny, bint *select, int *n, d *t, int *ldt, d *vl, int *ldvl, d *vr, int *ldvr, int *mm, int *m, d *work, int *info) noexcept nogil +cdef void dtrexc(char *compq, int *n, d *t, int *ldt, d *q, int *ldq, int *ifst, int *ilst, d *work, int *info) noexcept nogil +cdef void dtrrfs(char *uplo, char *trans, char *diag, int *n, int *nrhs, d *a, int *lda, d *b, int *ldb, d *x, int *ldx, d *ferr, d *berr, d *work, int *iwork, int *info) noexcept nogil +cdef void dtrsen(char *job, char *compq, bint *select, int *n, d *t, int *ldt, d *q, int *ldq, d *wr, d *wi, int *m, d *s, d *sep, d *work, int *lwork, int *iwork, int *liwork, int *info) noexcept nogil +cdef void dtrsna(char *job, char *howmny, bint *select, int *n, d *t, int *ldt, d *vl, int *ldvl, d *vr, int *ldvr, d *s, d *sep, int *mm, int *m, d *work, int *ldwork, int *iwork, int *info) noexcept nogil +cdef void dtrsyl(char *trana, char *tranb, int *isgn, int *m, int *n, d *a, int *lda, d *b, int *ldb, d *c, int *ldc, d *scale, int *info) noexcept nogil +cdef void dtrti2(char *uplo, char *diag, int *n, d *a, int *lda, int *info) noexcept nogil +cdef void dtrtri(char *uplo, char *diag, int *n, d *a, int *lda, int *info) noexcept nogil +cdef void dtrtrs(char *uplo, char *trans, char *diag, int *n, int *nrhs, d *a, int *lda, d *b, int *ldb, int *info) noexcept nogil +cdef void dtrttf(char *transr, char *uplo, int *n, d *a, int *lda, d *arf, int *info) noexcept nogil +cdef void dtrttp(char *uplo, int *n, d *a, int *lda, d *ap, int *info) noexcept nogil +cdef void dtzrzf(int *m, int *n, d *a, int *lda, d *tau, d *work, int *lwork, int *info) noexcept nogil +cdef d dzsum1(int *n, z *cx, int *incx) noexcept nogil +cdef int icmax1(int *n, c *cx, int *incx) noexcept nogil +cdef int ieeeck(int *ispec, s *zero, s *one) noexcept nogil +cdef int ilaclc(int *m, int *n, c *a, int *lda) noexcept nogil +cdef int ilaclr(int *m, int *n, c *a, int *lda) noexcept nogil +cdef int iladiag(char *diag) noexcept nogil +cdef int iladlc(int *m, int *n, d *a, int *lda) noexcept nogil +cdef int iladlr(int *m, int *n, d *a, int *lda) noexcept nogil +cdef int ilaprec(char *prec) noexcept nogil +cdef int ilaslc(int *m, int *n, s *a, int *lda) noexcept nogil +cdef int ilaslr(int *m, int *n, s *a, int *lda) noexcept nogil +cdef int ilatrans(char *trans) noexcept nogil +cdef int ilauplo(char *uplo) noexcept nogil +cdef void ilaver(int *vers_major, int *vers_minor, int *vers_patch) noexcept nogil +cdef int ilazlc(int *m, int *n, z *a, int *lda) noexcept nogil +cdef int ilazlr(int *m, int *n, z *a, int *lda) noexcept nogil +cdef int izmax1(int *n, z *cx, int *incx) noexcept nogil +cdef void sbbcsd(char *jobu1, char *jobu2, char *jobv1t, char *jobv2t, char *trans, int *m, int *p, int *q, s *theta, s *phi, s *u1, int *ldu1, s *u2, int *ldu2, s *v1t, int *ldv1t, s *v2t, int *ldv2t, s *b11d, s *b11e, s *b12d, s *b12e, s *b21d, s *b21e, s *b22d, s *b22e, s *work, int *lwork, int *info) noexcept nogil +cdef void sbdsdc(char *uplo, char *compq, int *n, s *d, s *e, s *u, int *ldu, s *vt, int *ldvt, s *q, int *iq, s *work, int *iwork, int *info) noexcept nogil +cdef void sbdsqr(char *uplo, int *n, int *ncvt, int *nru, int *ncc, s *d, s *e, s *vt, int *ldvt, s *u, int *ldu, s *c, int *ldc, s *work, int *info) noexcept nogil +cdef s scsum1(int *n, c *cx, int *incx) noexcept nogil +cdef void sdisna(char *job, int *m, int *n, s *d, s *sep, int *info) noexcept nogil +cdef void sgbbrd(char *vect, int *m, int *n, int *ncc, int *kl, int *ku, s *ab, int *ldab, s *d, s *e, s *q, int *ldq, s *pt, int *ldpt, s *c, int *ldc, s *work, int *info) noexcept nogil +cdef void sgbcon(char *norm, int *n, int *kl, int *ku, s *ab, int *ldab, int *ipiv, s *anorm, s *rcond, s *work, int *iwork, int *info) noexcept nogil +cdef void sgbequ(int *m, int *n, int *kl, int *ku, s *ab, int *ldab, s *r, s *c, s *rowcnd, s *colcnd, s *amax, int *info) noexcept nogil +cdef void sgbequb(int *m, int *n, int *kl, int *ku, s *ab, int *ldab, s *r, s *c, s *rowcnd, s *colcnd, s *amax, int *info) noexcept nogil +cdef void sgbrfs(char *trans, int *n, int *kl, int *ku, int *nrhs, s *ab, int *ldab, s *afb, int *ldafb, int *ipiv, s *b, int *ldb, s *x, int *ldx, s *ferr, s *berr, s *work, int *iwork, int *info) noexcept nogil +cdef void sgbsv(int *n, int *kl, int *ku, int *nrhs, s *ab, int *ldab, int *ipiv, s *b, int *ldb, int *info) noexcept nogil +cdef void sgbsvx(char *fact, char *trans, int *n, int *kl, int *ku, int *nrhs, s *ab, int *ldab, s *afb, int *ldafb, int *ipiv, char *equed, s *r, s *c, s *b, int *ldb, s *x, int *ldx, s *rcond, s *ferr, s *berr, s *work, int *iwork, int *info) noexcept nogil +cdef void sgbtf2(int *m, int *n, int *kl, int *ku, s *ab, int *ldab, int *ipiv, int *info) noexcept nogil +cdef void sgbtrf(int *m, int *n, int *kl, int *ku, s *ab, int *ldab, int *ipiv, int *info) noexcept nogil +cdef void sgbtrs(char *trans, int *n, int *kl, int *ku, int *nrhs, s *ab, int *ldab, int *ipiv, s *b, int *ldb, int *info) noexcept nogil +cdef void sgebak(char *job, char *side, int *n, int *ilo, int *ihi, s *scale, int *m, s *v, int *ldv, int *info) noexcept nogil +cdef void sgebal(char *job, int *n, s *a, int *lda, int *ilo, int *ihi, s *scale, int *info) noexcept nogil +cdef void sgebd2(int *m, int *n, s *a, int *lda, s *d, s *e, s *tauq, s *taup, s *work, int *info) noexcept nogil +cdef void sgebrd(int *m, int *n, s *a, int *lda, s *d, s *e, s *tauq, s *taup, s *work, int *lwork, int *info) noexcept nogil +cdef void sgecon(char *norm, int *n, s *a, int *lda, s *anorm, s *rcond, s *work, int *iwork, int *info) noexcept nogil +cdef void sgeequ(int *m, int *n, s *a, int *lda, s *r, s *c, s *rowcnd, s *colcnd, s *amax, int *info) noexcept nogil +cdef void sgeequb(int *m, int *n, s *a, int *lda, s *r, s *c, s *rowcnd, s *colcnd, s *amax, int *info) noexcept nogil +cdef void sgees(char *jobvs, char *sort, sselect2 *select, int *n, s *a, int *lda, int *sdim, s *wr, s *wi, s *vs, int *ldvs, s *work, int *lwork, bint *bwork, int *info) noexcept nogil +cdef void sgeesx(char *jobvs, char *sort, sselect2 *select, char *sense, int *n, s *a, int *lda, int *sdim, s *wr, s *wi, s *vs, int *ldvs, s *rconde, s *rcondv, s *work, int *lwork, int *iwork, int *liwork, bint *bwork, int *info) noexcept nogil +cdef void sgeev(char *jobvl, char *jobvr, int *n, s *a, int *lda, s *wr, s *wi, s *vl, int *ldvl, s *vr, int *ldvr, s *work, int *lwork, int *info) noexcept nogil +cdef void sgeevx(char *balanc, char *jobvl, char *jobvr, char *sense, int *n, s *a, int *lda, s *wr, s *wi, s *vl, int *ldvl, s *vr, int *ldvr, int *ilo, int *ihi, s *scale, s *abnrm, s *rconde, s *rcondv, s *work, int *lwork, int *iwork, int *info) noexcept nogil +cdef void sgehd2(int *n, int *ilo, int *ihi, s *a, int *lda, s *tau, s *work, int *info) noexcept nogil +cdef void sgehrd(int *n, int *ilo, int *ihi, s *a, int *lda, s *tau, s *work, int *lwork, int *info) noexcept nogil +cdef void sgejsv(char *joba, char *jobu, char *jobv, char *jobr, char *jobt, char *jobp, int *m, int *n, s *a, int *lda, s *sva, s *u, int *ldu, s *v, int *ldv, s *work, int *lwork, int *iwork, int *info) noexcept nogil +cdef void sgelq2(int *m, int *n, s *a, int *lda, s *tau, s *work, int *info) noexcept nogil +cdef void sgelqf(int *m, int *n, s *a, int *lda, s *tau, s *work, int *lwork, int *info) noexcept nogil +cdef void sgels(char *trans, int *m, int *n, int *nrhs, s *a, int *lda, s *b, int *ldb, s *work, int *lwork, int *info) noexcept nogil +cdef void sgelsd(int *m, int *n, int *nrhs, s *a, int *lda, s *b, int *ldb, s *s, s *rcond, int *rank, s *work, int *lwork, int *iwork, int *info) noexcept nogil +cdef void sgelss(int *m, int *n, int *nrhs, s *a, int *lda, s *b, int *ldb, s *s, s *rcond, int *rank, s *work, int *lwork, int *info) noexcept nogil +cdef void sgelsy(int *m, int *n, int *nrhs, s *a, int *lda, s *b, int *ldb, int *jpvt, s *rcond, int *rank, s *work, int *lwork, int *info) noexcept nogil +cdef void sgemqrt(char *side, char *trans, int *m, int *n, int *k, int *nb, s *v, int *ldv, s *t, int *ldt, s *c, int *ldc, s *work, int *info) noexcept nogil +cdef void sgeql2(int *m, int *n, s *a, int *lda, s *tau, s *work, int *info) noexcept nogil +cdef void sgeqlf(int *m, int *n, s *a, int *lda, s *tau, s *work, int *lwork, int *info) noexcept nogil +cdef void sgeqp3(int *m, int *n, s *a, int *lda, int *jpvt, s *tau, s *work, int *lwork, int *info) noexcept nogil +cdef void sgeqr2(int *m, int *n, s *a, int *lda, s *tau, s *work, int *info) noexcept nogil +cdef void sgeqr2p(int *m, int *n, s *a, int *lda, s *tau, s *work, int *info) noexcept nogil +cdef void sgeqrf(int *m, int *n, s *a, int *lda, s *tau, s *work, int *lwork, int *info) noexcept nogil +cdef void sgeqrfp(int *m, int *n, s *a, int *lda, s *tau, s *work, int *lwork, int *info) noexcept nogil +cdef void sgeqrt(int *m, int *n, int *nb, s *a, int *lda, s *t, int *ldt, s *work, int *info) noexcept nogil +cdef void sgeqrt2(int *m, int *n, s *a, int *lda, s *t, int *ldt, int *info) noexcept nogil +cdef void sgeqrt3(int *m, int *n, s *a, int *lda, s *t, int *ldt, int *info) noexcept nogil +cdef void sgerfs(char *trans, int *n, int *nrhs, s *a, int *lda, s *af, int *ldaf, int *ipiv, s *b, int *ldb, s *x, int *ldx, s *ferr, s *berr, s *work, int *iwork, int *info) noexcept nogil +cdef void sgerq2(int *m, int *n, s *a, int *lda, s *tau, s *work, int *info) noexcept nogil +cdef void sgerqf(int *m, int *n, s *a, int *lda, s *tau, s *work, int *lwork, int *info) noexcept nogil +cdef void sgesc2(int *n, s *a, int *lda, s *rhs, int *ipiv, int *jpiv, s *scale) noexcept nogil +cdef void sgesdd(char *jobz, int *m, int *n, s *a, int *lda, s *s, s *u, int *ldu, s *vt, int *ldvt, s *work, int *lwork, int *iwork, int *info) noexcept nogil +cdef void sgesv(int *n, int *nrhs, s *a, int *lda, int *ipiv, s *b, int *ldb, int *info) noexcept nogil +cdef void sgesvd(char *jobu, char *jobvt, int *m, int *n, s *a, int *lda, s *s, s *u, int *ldu, s *vt, int *ldvt, s *work, int *lwork, int *info) noexcept nogil +cdef void sgesvj(char *joba, char *jobu, char *jobv, int *m, int *n, s *a, int *lda, s *sva, int *mv, s *v, int *ldv, s *work, int *lwork, int *info) noexcept nogil +cdef void sgesvx(char *fact, char *trans, int *n, int *nrhs, s *a, int *lda, s *af, int *ldaf, int *ipiv, char *equed, s *r, s *c, s *b, int *ldb, s *x, int *ldx, s *rcond, s *ferr, s *berr, s *work, int *iwork, int *info) noexcept nogil +cdef void sgetc2(int *n, s *a, int *lda, int *ipiv, int *jpiv, int *info) noexcept nogil +cdef void sgetf2(int *m, int *n, s *a, int *lda, int *ipiv, int *info) noexcept nogil +cdef void sgetrf(int *m, int *n, s *a, int *lda, int *ipiv, int *info) noexcept nogil +cdef void sgetri(int *n, s *a, int *lda, int *ipiv, s *work, int *lwork, int *info) noexcept nogil +cdef void sgetrs(char *trans, int *n, int *nrhs, s *a, int *lda, int *ipiv, s *b, int *ldb, int *info) noexcept nogil +cdef void sggbak(char *job, char *side, int *n, int *ilo, int *ihi, s *lscale, s *rscale, int *m, s *v, int *ldv, int *info) noexcept nogil +cdef void sggbal(char *job, int *n, s *a, int *lda, s *b, int *ldb, int *ilo, int *ihi, s *lscale, s *rscale, s *work, int *info) noexcept nogil +cdef void sgges(char *jobvsl, char *jobvsr, char *sort, sselect3 *selctg, int *n, s *a, int *lda, s *b, int *ldb, int *sdim, s *alphar, s *alphai, s *beta, s *vsl, int *ldvsl, s *vsr, int *ldvsr, s *work, int *lwork, bint *bwork, int *info) noexcept nogil +cdef void sggesx(char *jobvsl, char *jobvsr, char *sort, sselect3 *selctg, char *sense, int *n, s *a, int *lda, s *b, int *ldb, int *sdim, s *alphar, s *alphai, s *beta, s *vsl, int *ldvsl, s *vsr, int *ldvsr, s *rconde, s *rcondv, s *work, int *lwork, int *iwork, int *liwork, bint *bwork, int *info) noexcept nogil +cdef void sggev(char *jobvl, char *jobvr, int *n, s *a, int *lda, s *b, int *ldb, s *alphar, s *alphai, s *beta, s *vl, int *ldvl, s *vr, int *ldvr, s *work, int *lwork, int *info) noexcept nogil +cdef void sggevx(char *balanc, char *jobvl, char *jobvr, char *sense, int *n, s *a, int *lda, s *b, int *ldb, s *alphar, s *alphai, s *beta, s *vl, int *ldvl, s *vr, int *ldvr, int *ilo, int *ihi, s *lscale, s *rscale, s *abnrm, s *bbnrm, s *rconde, s *rcondv, s *work, int *lwork, int *iwork, bint *bwork, int *info) noexcept nogil +cdef void sggglm(int *n, int *m, int *p, s *a, int *lda, s *b, int *ldb, s *d, s *x, s *y, s *work, int *lwork, int *info) noexcept nogil +cdef void sgghrd(char *compq, char *compz, int *n, int *ilo, int *ihi, s *a, int *lda, s *b, int *ldb, s *q, int *ldq, s *z, int *ldz, int *info) noexcept nogil +cdef void sgglse(int *m, int *n, int *p, s *a, int *lda, s *b, int *ldb, s *c, s *d, s *x, s *work, int *lwork, int *info) noexcept nogil +cdef void sggqrf(int *n, int *m, int *p, s *a, int *lda, s *taua, s *b, int *ldb, s *taub, s *work, int *lwork, int *info) noexcept nogil +cdef void sggrqf(int *m, int *p, int *n, s *a, int *lda, s *taua, s *b, int *ldb, s *taub, s *work, int *lwork, int *info) noexcept nogil +cdef void sgsvj0(char *jobv, int *m, int *n, s *a, int *lda, s *d, s *sva, int *mv, s *v, int *ldv, s *eps, s *sfmin, s *tol, int *nsweep, s *work, int *lwork, int *info) noexcept nogil +cdef void sgsvj1(char *jobv, int *m, int *n, int *n1, s *a, int *lda, s *d, s *sva, int *mv, s *v, int *ldv, s *eps, s *sfmin, s *tol, int *nsweep, s *work, int *lwork, int *info) noexcept nogil +cdef void sgtcon(char *norm, int *n, s *dl, s *d, s *du, s *du2, int *ipiv, s *anorm, s *rcond, s *work, int *iwork, int *info) noexcept nogil +cdef void sgtrfs(char *trans, int *n, int *nrhs, s *dl, s *d, s *du, s *dlf, s *df, s *duf, s *du2, int *ipiv, s *b, int *ldb, s *x, int *ldx, s *ferr, s *berr, s *work, int *iwork, int *info) noexcept nogil +cdef void sgtsv(int *n, int *nrhs, s *dl, s *d, s *du, s *b, int *ldb, int *info) noexcept nogil +cdef void sgtsvx(char *fact, char *trans, int *n, int *nrhs, s *dl, s *d, s *du, s *dlf, s *df, s *duf, s *du2, int *ipiv, s *b, int *ldb, s *x, int *ldx, s *rcond, s *ferr, s *berr, s *work, int *iwork, int *info) noexcept nogil +cdef void sgttrf(int *n, s *dl, s *d, s *du, s *du2, int *ipiv, int *info) noexcept nogil +cdef void sgttrs(char *trans, int *n, int *nrhs, s *dl, s *d, s *du, s *du2, int *ipiv, s *b, int *ldb, int *info) noexcept nogil +cdef void sgtts2(int *itrans, int *n, int *nrhs, s *dl, s *d, s *du, s *du2, int *ipiv, s *b, int *ldb) noexcept nogil +cdef void shgeqz(char *job, char *compq, char *compz, int *n, int *ilo, int *ihi, s *h, int *ldh, s *t, int *ldt, s *alphar, s *alphai, s *beta, s *q, int *ldq, s *z, int *ldz, s *work, int *lwork, int *info) noexcept nogil +cdef void shsein(char *side, char *eigsrc, char *initv, bint *select, int *n, s *h, int *ldh, s *wr, s *wi, s *vl, int *ldvl, s *vr, int *ldvr, int *mm, int *m, s *work, int *ifaill, int *ifailr, int *info) noexcept nogil +cdef void shseqr(char *job, char *compz, int *n, int *ilo, int *ihi, s *h, int *ldh, s *wr, s *wi, s *z, int *ldz, s *work, int *lwork, int *info) noexcept nogil +cdef void slabad(s *small, s *large) noexcept nogil +cdef void slabrd(int *m, int *n, int *nb, s *a, int *lda, s *d, s *e, s *tauq, s *taup, s *x, int *ldx, s *y, int *ldy) noexcept nogil +cdef void slacn2(int *n, s *v, s *x, int *isgn, s *est, int *kase, int *isave) noexcept nogil +cdef void slacon(int *n, s *v, s *x, int *isgn, s *est, int *kase) noexcept nogil +cdef void slacpy(char *uplo, int *m, int *n, s *a, int *lda, s *b, int *ldb) noexcept nogil +cdef void sladiv(s *a, s *b, s *c, s *d, s *p, s *q) noexcept nogil +cdef void slae2(s *a, s *b, s *c, s *rt1, s *rt2) noexcept nogil +cdef void slaebz(int *ijob, int *nitmax, int *n, int *mmax, int *minp, int *nbmin, s *abstol, s *reltol, s *pivmin, s *d, s *e, s *e2, int *nval, s *ab, s *c, int *mout, int *nab, s *work, int *iwork, int *info) noexcept nogil +cdef void slaed0(int *icompq, int *qsiz, int *n, s *d, s *e, s *q, int *ldq, s *qstore, int *ldqs, s *work, int *iwork, int *info) noexcept nogil +cdef void slaed1(int *n, s *d, s *q, int *ldq, int *indxq, s *rho, int *cutpnt, s *work, int *iwork, int *info) noexcept nogil +cdef void slaed2(int *k, int *n, int *n1, s *d, s *q, int *ldq, int *indxq, s *rho, s *z, s *dlamda, s *w, s *q2, int *indx, int *indxc, int *indxp, int *coltyp, int *info) noexcept nogil +cdef void slaed3(int *k, int *n, int *n1, s *d, s *q, int *ldq, s *rho, s *dlamda, s *q2, int *indx, int *ctot, s *w, s *s, int *info) noexcept nogil +cdef void slaed4(int *n, int *i, s *d, s *z, s *delta, s *rho, s *dlam, int *info) noexcept nogil +cdef void slaed5(int *i, s *d, s *z, s *delta, s *rho, s *dlam) noexcept nogil +cdef void slaed6(int *kniter, bint *orgati, s *rho, s *d, s *z, s *finit, s *tau, int *info) noexcept nogil +cdef void slaed7(int *icompq, int *n, int *qsiz, int *tlvls, int *curlvl, int *curpbm, s *d, s *q, int *ldq, int *indxq, s *rho, int *cutpnt, s *qstore, int *qptr, int *prmptr, int *perm, int *givptr, int *givcol, s *givnum, s *work, int *iwork, int *info) noexcept nogil +cdef void slaed8(int *icompq, int *k, int *n, int *qsiz, s *d, s *q, int *ldq, int *indxq, s *rho, int *cutpnt, s *z, s *dlamda, s *q2, int *ldq2, s *w, int *perm, int *givptr, int *givcol, s *givnum, int *indxp, int *indx, int *info) noexcept nogil +cdef void slaed9(int *k, int *kstart, int *kstop, int *n, s *d, s *q, int *ldq, s *rho, s *dlamda, s *w, s *s, int *lds, int *info) noexcept nogil +cdef void slaeda(int *n, int *tlvls, int *curlvl, int *curpbm, int *prmptr, int *perm, int *givptr, int *givcol, s *givnum, s *q, int *qptr, s *z, s *ztemp, int *info) noexcept nogil +cdef void slaein(bint *rightv, bint *noinit, int *n, s *h, int *ldh, s *wr, s *wi, s *vr, s *vi, s *b, int *ldb, s *work, s *eps3, s *smlnum, s *bignum, int *info) noexcept nogil +cdef void slaev2(s *a, s *b, s *c, s *rt1, s *rt2, s *cs1, s *sn1) noexcept nogil +cdef void slaexc(bint *wantq, int *n, s *t, int *ldt, s *q, int *ldq, int *j1, int *n1, int *n2, s *work, int *info) noexcept nogil +cdef void slag2(s *a, int *lda, s *b, int *ldb, s *safmin, s *scale1, s *scale2, s *wr1, s *wr2, s *wi) noexcept nogil +cdef void slag2d(int *m, int *n, s *sa, int *ldsa, d *a, int *lda, int *info) noexcept nogil +cdef void slags2(bint *upper, s *a1, s *a2, s *a3, s *b1, s *b2, s *b3, s *csu, s *snu, s *csv, s *snv, s *csq, s *snq) noexcept nogil +cdef void slagtf(int *n, s *a, s *lambda_, s *b, s *c, s *tol, s *d, int *in_, int *info) noexcept nogil +cdef void slagtm(char *trans, int *n, int *nrhs, s *alpha, s *dl, s *d, s *du, s *x, int *ldx, s *beta, s *b, int *ldb) noexcept nogil +cdef void slagts(int *job, int *n, s *a, s *b, s *c, s *d, int *in_, s *y, s *tol, int *info) noexcept nogil +cdef void slagv2(s *a, int *lda, s *b, int *ldb, s *alphar, s *alphai, s *beta, s *csl, s *snl, s *csr, s *snr) noexcept nogil +cdef void slahqr(bint *wantt, bint *wantz, int *n, int *ilo, int *ihi, s *h, int *ldh, s *wr, s *wi, int *iloz, int *ihiz, s *z, int *ldz, int *info) noexcept nogil +cdef void slahr2(int *n, int *k, int *nb, s *a, int *lda, s *tau, s *t, int *ldt, s *y, int *ldy) noexcept nogil +cdef void slaic1(int *job, int *j, s *x, s *sest, s *w, s *gamma, s *sestpr, s *s, s *c) noexcept nogil +cdef void slaln2(bint *ltrans, int *na, int *nw, s *smin, s *ca, s *a, int *lda, s *d1, s *d2, s *b, int *ldb, s *wr, s *wi, s *x, int *ldx, s *scale, s *xnorm, int *info) noexcept nogil +cdef void slals0(int *icompq, int *nl, int *nr, int *sqre, int *nrhs, s *b, int *ldb, s *bx, int *ldbx, int *perm, int *givptr, int *givcol, int *ldgcol, s *givnum, int *ldgnum, s *poles, s *difl, s *difr, s *z, int *k, s *c, s *s, s *work, int *info) noexcept nogil +cdef void slalsa(int *icompq, int *smlsiz, int *n, int *nrhs, s *b, int *ldb, s *bx, int *ldbx, s *u, int *ldu, s *vt, int *k, s *difl, s *difr, s *z, s *poles, int *givptr, int *givcol, int *ldgcol, int *perm, s *givnum, s *c, s *s, s *work, int *iwork, int *info) noexcept nogil +cdef void slalsd(char *uplo, int *smlsiz, int *n, int *nrhs, s *d, s *e, s *b, int *ldb, s *rcond, int *rank, s *work, int *iwork, int *info) noexcept nogil +cdef s slamch(char *cmach) noexcept nogil +cdef void slamrg(int *n1, int *n2, s *a, int *strd1, int *strd2, int *index_bn) noexcept nogil +cdef s slangb(char *norm, int *n, int *kl, int *ku, s *ab, int *ldab, s *work) noexcept nogil +cdef s slange(char *norm, int *m, int *n, s *a, int *lda, s *work) noexcept nogil +cdef s slangt(char *norm, int *n, s *dl, s *d, s *du) noexcept nogil +cdef s slanhs(char *norm, int *n, s *a, int *lda, s *work) noexcept nogil +cdef s slansb(char *norm, char *uplo, int *n, int *k, s *ab, int *ldab, s *work) noexcept nogil +cdef s slansf(char *norm, char *transr, char *uplo, int *n, s *a, s *work) noexcept nogil +cdef s slansp(char *norm, char *uplo, int *n, s *ap, s *work) noexcept nogil +cdef s slanst(char *norm, int *n, s *d, s *e) noexcept nogil +cdef s slansy(char *norm, char *uplo, int *n, s *a, int *lda, s *work) noexcept nogil +cdef s slantb(char *norm, char *uplo, char *diag, int *n, int *k, s *ab, int *ldab, s *work) noexcept nogil +cdef s slantp(char *norm, char *uplo, char *diag, int *n, s *ap, s *work) noexcept nogil +cdef s slantr(char *norm, char *uplo, char *diag, int *m, int *n, s *a, int *lda, s *work) noexcept nogil +cdef void slanv2(s *a, s *b, s *c, s *d, s *rt1r, s *rt1i, s *rt2r, s *rt2i, s *cs, s *sn) noexcept nogil +cdef void slapll(int *n, s *x, int *incx, s *y, int *incy, s *ssmin) noexcept nogil +cdef void slapmr(bint *forwrd, int *m, int *n, s *x, int *ldx, int *k) noexcept nogil +cdef void slapmt(bint *forwrd, int *m, int *n, s *x, int *ldx, int *k) noexcept nogil +cdef s slapy2(s *x, s *y) noexcept nogil +cdef s slapy3(s *x, s *y, s *z) noexcept nogil +cdef void slaqgb(int *m, int *n, int *kl, int *ku, s *ab, int *ldab, s *r, s *c, s *rowcnd, s *colcnd, s *amax, char *equed) noexcept nogil +cdef void slaqge(int *m, int *n, s *a, int *lda, s *r, s *c, s *rowcnd, s *colcnd, s *amax, char *equed) noexcept nogil +cdef void slaqp2(int *m, int *n, int *offset, s *a, int *lda, int *jpvt, s *tau, s *vn1, s *vn2, s *work) noexcept nogil +cdef void slaqps(int *m, int *n, int *offset, int *nb, int *kb, s *a, int *lda, int *jpvt, s *tau, s *vn1, s *vn2, s *auxv, s *f, int *ldf) noexcept nogil +cdef void slaqr0(bint *wantt, bint *wantz, int *n, int *ilo, int *ihi, s *h, int *ldh, s *wr, s *wi, int *iloz, int *ihiz, s *z, int *ldz, s *work, int *lwork, int *info) noexcept nogil +cdef void slaqr1(int *n, s *h, int *ldh, s *sr1, s *si1, s *sr2, s *si2, s *v) noexcept nogil +cdef void slaqr2(bint *wantt, bint *wantz, int *n, int *ktop, int *kbot, int *nw, s *h, int *ldh, int *iloz, int *ihiz, s *z, int *ldz, int *ns, int *nd, s *sr, s *si, s *v, int *ldv, int *nh, s *t, int *ldt, int *nv, s *wv, int *ldwv, s *work, int *lwork) noexcept nogil +cdef void slaqr3(bint *wantt, bint *wantz, int *n, int *ktop, int *kbot, int *nw, s *h, int *ldh, int *iloz, int *ihiz, s *z, int *ldz, int *ns, int *nd, s *sr, s *si, s *v, int *ldv, int *nh, s *t, int *ldt, int *nv, s *wv, int *ldwv, s *work, int *lwork) noexcept nogil +cdef void slaqr4(bint *wantt, bint *wantz, int *n, int *ilo, int *ihi, s *h, int *ldh, s *wr, s *wi, int *iloz, int *ihiz, s *z, int *ldz, s *work, int *lwork, int *info) noexcept nogil +cdef void slaqr5(bint *wantt, bint *wantz, int *kacc22, int *n, int *ktop, int *kbot, int *nshfts, s *sr, s *si, s *h, int *ldh, int *iloz, int *ihiz, s *z, int *ldz, s *v, int *ldv, s *u, int *ldu, int *nv, s *wv, int *ldwv, int *nh, s *wh, int *ldwh) noexcept nogil +cdef void slaqsb(char *uplo, int *n, int *kd, s *ab, int *ldab, s *s, s *scond, s *amax, char *equed) noexcept nogil +cdef void slaqsp(char *uplo, int *n, s *ap, s *s, s *scond, s *amax, char *equed) noexcept nogil +cdef void slaqsy(char *uplo, int *n, s *a, int *lda, s *s, s *scond, s *amax, char *equed) noexcept nogil +cdef void slaqtr(bint *ltran, bint *lreal, int *n, s *t, int *ldt, s *b, s *w, s *scale, s *x, s *work, int *info) noexcept nogil +cdef void slar1v(int *n, int *b1, int *bn, s *lambda_, s *d, s *l, s *ld, s *lld, s *pivmin, s *gaptol, s *z, bint *wantnc, int *negcnt, s *ztz, s *mingma, int *r, int *isuppz, s *nrminv, s *resid, s *rqcorr, s *work) noexcept nogil +cdef void slar2v(int *n, s *x, s *y, s *z, int *incx, s *c, s *s, int *incc) noexcept nogil +cdef void slarf(char *side, int *m, int *n, s *v, int *incv, s *tau, s *c, int *ldc, s *work) noexcept nogil +cdef void slarfb(char *side, char *trans, char *direct, char *storev, int *m, int *n, int *k, s *v, int *ldv, s *t, int *ldt, s *c, int *ldc, s *work, int *ldwork) noexcept nogil +cdef void slarfg(int *n, s *alpha, s *x, int *incx, s *tau) noexcept nogil +cdef void slarfgp(int *n, s *alpha, s *x, int *incx, s *tau) noexcept nogil +cdef void slarft(char *direct, char *storev, int *n, int *k, s *v, int *ldv, s *tau, s *t, int *ldt) noexcept nogil +cdef void slarfx(char *side, int *m, int *n, s *v, s *tau, s *c, int *ldc, s *work) noexcept nogil +cdef void slargv(int *n, s *x, int *incx, s *y, int *incy, s *c, int *incc) noexcept nogil +cdef void slarnv(int *idist, int *iseed, int *n, s *x) noexcept nogil +cdef void slarra(int *n, s *d, s *e, s *e2, s *spltol, s *tnrm, int *nsplit, int *isplit, int *info) noexcept nogil +cdef void slarrb(int *n, s *d, s *lld, int *ifirst, int *ilast, s *rtol1, s *rtol2, int *offset, s *w, s *wgap, s *werr, s *work, int *iwork, s *pivmin, s *spdiam, int *twist, int *info) noexcept nogil +cdef void slarrc(char *jobt, int *n, s *vl, s *vu, s *d, s *e, s *pivmin, int *eigcnt, int *lcnt, int *rcnt, int *info) noexcept nogil +cdef void slarrd(char *range, char *order, int *n, s *vl, s *vu, int *il, int *iu, s *gers, s *reltol, s *d, s *e, s *e2, s *pivmin, int *nsplit, int *isplit, int *m, s *w, s *werr, s *wl, s *wu, int *iblock, int *indexw, s *work, int *iwork, int *info) noexcept nogil +cdef void slarre(char *range, int *n, s *vl, s *vu, int *il, int *iu, s *d, s *e, s *e2, s *rtol1, s *rtol2, s *spltol, int *nsplit, int *isplit, int *m, s *w, s *werr, s *wgap, int *iblock, int *indexw, s *gers, s *pivmin, s *work, int *iwork, int *info) noexcept nogil +cdef void slarrf(int *n, s *d, s *l, s *ld, int *clstrt, int *clend, s *w, s *wgap, s *werr, s *spdiam, s *clgapl, s *clgapr, s *pivmin, s *sigma, s *dplus, s *lplus, s *work, int *info) noexcept nogil +cdef void slarrj(int *n, s *d, s *e2, int *ifirst, int *ilast, s *rtol, int *offset, s *w, s *werr, s *work, int *iwork, s *pivmin, s *spdiam, int *info) noexcept nogil +cdef void slarrk(int *n, int *iw, s *gl, s *gu, s *d, s *e2, s *pivmin, s *reltol, s *w, s *werr, int *info) noexcept nogil +cdef void slarrr(int *n, s *d, s *e, int *info) noexcept nogil +cdef void slarrv(int *n, s *vl, s *vu, s *d, s *l, s *pivmin, int *isplit, int *m, int *dol, int *dou, s *minrgp, s *rtol1, s *rtol2, s *w, s *werr, s *wgap, int *iblock, int *indexw, s *gers, s *z, int *ldz, int *isuppz, s *work, int *iwork, int *info) noexcept nogil +cdef void slartg(s *f, s *g, s *cs, s *sn, s *r) noexcept nogil +cdef void slartgp(s *f, s *g, s *cs, s *sn, s *r) noexcept nogil +cdef void slartgs(s *x, s *y, s *sigma, s *cs, s *sn) noexcept nogil +cdef void slartv(int *n, s *x, int *incx, s *y, int *incy, s *c, s *s, int *incc) noexcept nogil +cdef void slaruv(int *iseed, int *n, s *x) noexcept nogil +cdef void slarz(char *side, int *m, int *n, int *l, s *v, int *incv, s *tau, s *c, int *ldc, s *work) noexcept nogil +cdef void slarzb(char *side, char *trans, char *direct, char *storev, int *m, int *n, int *k, int *l, s *v, int *ldv, s *t, int *ldt, s *c, int *ldc, s *work, int *ldwork) noexcept nogil +cdef void slarzt(char *direct, char *storev, int *n, int *k, s *v, int *ldv, s *tau, s *t, int *ldt) noexcept nogil +cdef void slas2(s *f, s *g, s *h, s *ssmin, s *ssmax) noexcept nogil +cdef void slascl(char *type_bn, int *kl, int *ku, s *cfrom, s *cto, int *m, int *n, s *a, int *lda, int *info) noexcept nogil +cdef void slasd0(int *n, int *sqre, s *d, s *e, s *u, int *ldu, s *vt, int *ldvt, int *smlsiz, int *iwork, s *work, int *info) noexcept nogil +cdef void slasd1(int *nl, int *nr, int *sqre, s *d, s *alpha, s *beta, s *u, int *ldu, s *vt, int *ldvt, int *idxq, int *iwork, s *work, int *info) noexcept nogil +cdef void slasd2(int *nl, int *nr, int *sqre, int *k, s *d, s *z, s *alpha, s *beta, s *u, int *ldu, s *vt, int *ldvt, s *dsigma, s *u2, int *ldu2, s *vt2, int *ldvt2, int *idxp, int *idx, int *idxc, int *idxq, int *coltyp, int *info) noexcept nogil +cdef void slasd3(int *nl, int *nr, int *sqre, int *k, s *d, s *q, int *ldq, s *dsigma, s *u, int *ldu, s *u2, int *ldu2, s *vt, int *ldvt, s *vt2, int *ldvt2, int *idxc, int *ctot, s *z, int *info) noexcept nogil +cdef void slasd4(int *n, int *i, s *d, s *z, s *delta, s *rho, s *sigma, s *work, int *info) noexcept nogil +cdef void slasd5(int *i, s *d, s *z, s *delta, s *rho, s *dsigma, s *work) noexcept nogil +cdef void slasd6(int *icompq, int *nl, int *nr, int *sqre, s *d, s *vf, s *vl, s *alpha, s *beta, int *idxq, int *perm, int *givptr, int *givcol, int *ldgcol, s *givnum, int *ldgnum, s *poles, s *difl, s *difr, s *z, int *k, s *c, s *s, s *work, int *iwork, int *info) noexcept nogil +cdef void slasd7(int *icompq, int *nl, int *nr, int *sqre, int *k, s *d, s *z, s *zw, s *vf, s *vfw, s *vl, s *vlw, s *alpha, s *beta, s *dsigma, int *idx, int *idxp, int *idxq, int *perm, int *givptr, int *givcol, int *ldgcol, s *givnum, int *ldgnum, s *c, s *s, int *info) noexcept nogil +cdef void slasd8(int *icompq, int *k, s *d, s *z, s *vf, s *vl, s *difl, s *difr, int *lddifr, s *dsigma, s *work, int *info) noexcept nogil +cdef void slasda(int *icompq, int *smlsiz, int *n, int *sqre, s *d, s *e, s *u, int *ldu, s *vt, int *k, s *difl, s *difr, s *z, s *poles, int *givptr, int *givcol, int *ldgcol, int *perm, s *givnum, s *c, s *s, s *work, int *iwork, int *info) noexcept nogil +cdef void slasdq(char *uplo, int *sqre, int *n, int *ncvt, int *nru, int *ncc, s *d, s *e, s *vt, int *ldvt, s *u, int *ldu, s *c, int *ldc, s *work, int *info) noexcept nogil +cdef void slasdt(int *n, int *lvl, int *nd, int *inode, int *ndiml, int *ndimr, int *msub) noexcept nogil +cdef void slaset(char *uplo, int *m, int *n, s *alpha, s *beta, s *a, int *lda) noexcept nogil +cdef void slasq1(int *n, s *d, s *e, s *work, int *info) noexcept nogil +cdef void slasq2(int *n, s *z, int *info) noexcept nogil +cdef void slasq3(int *i0, int *n0, s *z, int *pp, s *dmin, s *sigma, s *desig, s *qmax, int *nfail, int *iter, int *ndiv, bint *ieee, int *ttype, s *dmin1, s *dmin2, s *dn, s *dn1, s *dn2, s *g, s *tau) noexcept nogil +cdef void slasq4(int *i0, int *n0, s *z, int *pp, int *n0in, s *dmin, s *dmin1, s *dmin2, s *dn, s *dn1, s *dn2, s *tau, int *ttype, s *g) noexcept nogil +cdef void slasq6(int *i0, int *n0, s *z, int *pp, s *dmin, s *dmin1, s *dmin2, s *dn, s *dnm1, s *dnm2) noexcept nogil +cdef void slasr(char *side, char *pivot, char *direct, int *m, int *n, s *c, s *s, s *a, int *lda) noexcept nogil +cdef void slasrt(char *id, int *n, s *d, int *info) noexcept nogil +cdef void slassq(int *n, s *x, int *incx, s *scale, s *sumsq) noexcept nogil +cdef void slasv2(s *f, s *g, s *h, s *ssmin, s *ssmax, s *snr, s *csr, s *snl, s *csl) noexcept nogil +cdef void slaswp(int *n, s *a, int *lda, int *k1, int *k2, int *ipiv, int *incx) noexcept nogil +cdef void slasy2(bint *ltranl, bint *ltranr, int *isgn, int *n1, int *n2, s *tl, int *ldtl, s *tr, int *ldtr, s *b, int *ldb, s *scale, s *x, int *ldx, s *xnorm, int *info) noexcept nogil +cdef void slasyf(char *uplo, int *n, int *nb, int *kb, s *a, int *lda, int *ipiv, s *w, int *ldw, int *info) noexcept nogil +cdef void slatbs(char *uplo, char *trans, char *diag, char *normin, int *n, int *kd, s *ab, int *ldab, s *x, s *scale, s *cnorm, int *info) noexcept nogil +cdef void slatdf(int *ijob, int *n, s *z, int *ldz, s *rhs, s *rdsum, s *rdscal, int *ipiv, int *jpiv) noexcept nogil +cdef void slatps(char *uplo, char *trans, char *diag, char *normin, int *n, s *ap, s *x, s *scale, s *cnorm, int *info) noexcept nogil +cdef void slatrd(char *uplo, int *n, int *nb, s *a, int *lda, s *e, s *tau, s *w, int *ldw) noexcept nogil +cdef void slatrs(char *uplo, char *trans, char *diag, char *normin, int *n, s *a, int *lda, s *x, s *scale, s *cnorm, int *info) noexcept nogil +cdef void slatrz(int *m, int *n, int *l, s *a, int *lda, s *tau, s *work) noexcept nogil +cdef void slauu2(char *uplo, int *n, s *a, int *lda, int *info) noexcept nogil +cdef void slauum(char *uplo, int *n, s *a, int *lda, int *info) noexcept nogil +cdef void sopgtr(char *uplo, int *n, s *ap, s *tau, s *q, int *ldq, s *work, int *info) noexcept nogil +cdef void sopmtr(char *side, char *uplo, char *trans, int *m, int *n, s *ap, s *tau, s *c, int *ldc, s *work, int *info) noexcept nogil +cdef void sorbdb(char *trans, char *signs, int *m, int *p, int *q, s *x11, int *ldx11, s *x12, int *ldx12, s *x21, int *ldx21, s *x22, int *ldx22, s *theta, s *phi, s *taup1, s *taup2, s *tauq1, s *tauq2, s *work, int *lwork, int *info) noexcept nogil +cdef void sorcsd(char *jobu1, char *jobu2, char *jobv1t, char *jobv2t, char *trans, char *signs, int *m, int *p, int *q, s *x11, int *ldx11, s *x12, int *ldx12, s *x21, int *ldx21, s *x22, int *ldx22, s *theta, s *u1, int *ldu1, s *u2, int *ldu2, s *v1t, int *ldv1t, s *v2t, int *ldv2t, s *work, int *lwork, int *iwork, int *info) noexcept nogil +cdef void sorg2l(int *m, int *n, int *k, s *a, int *lda, s *tau, s *work, int *info) noexcept nogil +cdef void sorg2r(int *m, int *n, int *k, s *a, int *lda, s *tau, s *work, int *info) noexcept nogil +cdef void sorgbr(char *vect, int *m, int *n, int *k, s *a, int *lda, s *tau, s *work, int *lwork, int *info) noexcept nogil +cdef void sorghr(int *n, int *ilo, int *ihi, s *a, int *lda, s *tau, s *work, int *lwork, int *info) noexcept nogil +cdef void sorgl2(int *m, int *n, int *k, s *a, int *lda, s *tau, s *work, int *info) noexcept nogil +cdef void sorglq(int *m, int *n, int *k, s *a, int *lda, s *tau, s *work, int *lwork, int *info) noexcept nogil +cdef void sorgql(int *m, int *n, int *k, s *a, int *lda, s *tau, s *work, int *lwork, int *info) noexcept nogil +cdef void sorgqr(int *m, int *n, int *k, s *a, int *lda, s *tau, s *work, int *lwork, int *info) noexcept nogil +cdef void sorgr2(int *m, int *n, int *k, s *a, int *lda, s *tau, s *work, int *info) noexcept nogil +cdef void sorgrq(int *m, int *n, int *k, s *a, int *lda, s *tau, s *work, int *lwork, int *info) noexcept nogil +cdef void sorgtr(char *uplo, int *n, s *a, int *lda, s *tau, s *work, int *lwork, int *info) noexcept nogil +cdef void sorm2l(char *side, char *trans, int *m, int *n, int *k, s *a, int *lda, s *tau, s *c, int *ldc, s *work, int *info) noexcept nogil +cdef void sorm2r(char *side, char *trans, int *m, int *n, int *k, s *a, int *lda, s *tau, s *c, int *ldc, s *work, int *info) noexcept nogil +cdef void sormbr(char *vect, char *side, char *trans, int *m, int *n, int *k, s *a, int *lda, s *tau, s *c, int *ldc, s *work, int *lwork, int *info) noexcept nogil +cdef void sormhr(char *side, char *trans, int *m, int *n, int *ilo, int *ihi, s *a, int *lda, s *tau, s *c, int *ldc, s *work, int *lwork, int *info) noexcept nogil +cdef void sorml2(char *side, char *trans, int *m, int *n, int *k, s *a, int *lda, s *tau, s *c, int *ldc, s *work, int *info) noexcept nogil +cdef void sormlq(char *side, char *trans, int *m, int *n, int *k, s *a, int *lda, s *tau, s *c, int *ldc, s *work, int *lwork, int *info) noexcept nogil +cdef void sormql(char *side, char *trans, int *m, int *n, int *k, s *a, int *lda, s *tau, s *c, int *ldc, s *work, int *lwork, int *info) noexcept nogil +cdef void sormqr(char *side, char *trans, int *m, int *n, int *k, s *a, int *lda, s *tau, s *c, int *ldc, s *work, int *lwork, int *info) noexcept nogil +cdef void sormr2(char *side, char *trans, int *m, int *n, int *k, s *a, int *lda, s *tau, s *c, int *ldc, s *work, int *info) noexcept nogil +cdef void sormr3(char *side, char *trans, int *m, int *n, int *k, int *l, s *a, int *lda, s *tau, s *c, int *ldc, s *work, int *info) noexcept nogil +cdef void sormrq(char *side, char *trans, int *m, int *n, int *k, s *a, int *lda, s *tau, s *c, int *ldc, s *work, int *lwork, int *info) noexcept nogil +cdef void sormrz(char *side, char *trans, int *m, int *n, int *k, int *l, s *a, int *lda, s *tau, s *c, int *ldc, s *work, int *lwork, int *info) noexcept nogil +cdef void sormtr(char *side, char *uplo, char *trans, int *m, int *n, s *a, int *lda, s *tau, s *c, int *ldc, s *work, int *lwork, int *info) noexcept nogil +cdef void spbcon(char *uplo, int *n, int *kd, s *ab, int *ldab, s *anorm, s *rcond, s *work, int *iwork, int *info) noexcept nogil +cdef void spbequ(char *uplo, int *n, int *kd, s *ab, int *ldab, s *s, s *scond, s *amax, int *info) noexcept nogil +cdef void spbrfs(char *uplo, int *n, int *kd, int *nrhs, s *ab, int *ldab, s *afb, int *ldafb, s *b, int *ldb, s *x, int *ldx, s *ferr, s *berr, s *work, int *iwork, int *info) noexcept nogil +cdef void spbstf(char *uplo, int *n, int *kd, s *ab, int *ldab, int *info) noexcept nogil +cdef void spbsv(char *uplo, int *n, int *kd, int *nrhs, s *ab, int *ldab, s *b, int *ldb, int *info) noexcept nogil +cdef void spbsvx(char *fact, char *uplo, int *n, int *kd, int *nrhs, s *ab, int *ldab, s *afb, int *ldafb, char *equed, s *s, s *b, int *ldb, s *x, int *ldx, s *rcond, s *ferr, s *berr, s *work, int *iwork, int *info) noexcept nogil +cdef void spbtf2(char *uplo, int *n, int *kd, s *ab, int *ldab, int *info) noexcept nogil +cdef void spbtrf(char *uplo, int *n, int *kd, s *ab, int *ldab, int *info) noexcept nogil +cdef void spbtrs(char *uplo, int *n, int *kd, int *nrhs, s *ab, int *ldab, s *b, int *ldb, int *info) noexcept nogil +cdef void spftrf(char *transr, char *uplo, int *n, s *a, int *info) noexcept nogil +cdef void spftri(char *transr, char *uplo, int *n, s *a, int *info) noexcept nogil +cdef void spftrs(char *transr, char *uplo, int *n, int *nrhs, s *a, s *b, int *ldb, int *info) noexcept nogil +cdef void spocon(char *uplo, int *n, s *a, int *lda, s *anorm, s *rcond, s *work, int *iwork, int *info) noexcept nogil +cdef void spoequ(int *n, s *a, int *lda, s *s, s *scond, s *amax, int *info) noexcept nogil +cdef void spoequb(int *n, s *a, int *lda, s *s, s *scond, s *amax, int *info) noexcept nogil +cdef void sporfs(char *uplo, int *n, int *nrhs, s *a, int *lda, s *af, int *ldaf, s *b, int *ldb, s *x, int *ldx, s *ferr, s *berr, s *work, int *iwork, int *info) noexcept nogil +cdef void sposv(char *uplo, int *n, int *nrhs, s *a, int *lda, s *b, int *ldb, int *info) noexcept nogil +cdef void sposvx(char *fact, char *uplo, int *n, int *nrhs, s *a, int *lda, s *af, int *ldaf, char *equed, s *s, s *b, int *ldb, s *x, int *ldx, s *rcond, s *ferr, s *berr, s *work, int *iwork, int *info) noexcept nogil +cdef void spotf2(char *uplo, int *n, s *a, int *lda, int *info) noexcept nogil +cdef void spotrf(char *uplo, int *n, s *a, int *lda, int *info) noexcept nogil +cdef void spotri(char *uplo, int *n, s *a, int *lda, int *info) noexcept nogil +cdef void spotrs(char *uplo, int *n, int *nrhs, s *a, int *lda, s *b, int *ldb, int *info) noexcept nogil +cdef void sppcon(char *uplo, int *n, s *ap, s *anorm, s *rcond, s *work, int *iwork, int *info) noexcept nogil +cdef void sppequ(char *uplo, int *n, s *ap, s *s, s *scond, s *amax, int *info) noexcept nogil +cdef void spprfs(char *uplo, int *n, int *nrhs, s *ap, s *afp, s *b, int *ldb, s *x, int *ldx, s *ferr, s *berr, s *work, int *iwork, int *info) noexcept nogil +cdef void sppsv(char *uplo, int *n, int *nrhs, s *ap, s *b, int *ldb, int *info) noexcept nogil +cdef void sppsvx(char *fact, char *uplo, int *n, int *nrhs, s *ap, s *afp, char *equed, s *s, s *b, int *ldb, s *x, int *ldx, s *rcond, s *ferr, s *berr, s *work, int *iwork, int *info) noexcept nogil +cdef void spptrf(char *uplo, int *n, s *ap, int *info) noexcept nogil +cdef void spptri(char *uplo, int *n, s *ap, int *info) noexcept nogil +cdef void spptrs(char *uplo, int *n, int *nrhs, s *ap, s *b, int *ldb, int *info) noexcept nogil +cdef void spstf2(char *uplo, int *n, s *a, int *lda, int *piv, int *rank, s *tol, s *work, int *info) noexcept nogil +cdef void spstrf(char *uplo, int *n, s *a, int *lda, int *piv, int *rank, s *tol, s *work, int *info) noexcept nogil +cdef void sptcon(int *n, s *d, s *e, s *anorm, s *rcond, s *work, int *info) noexcept nogil +cdef void spteqr(char *compz, int *n, s *d, s *e, s *z, int *ldz, s *work, int *info) noexcept nogil +cdef void sptrfs(int *n, int *nrhs, s *d, s *e, s *df, s *ef, s *b, int *ldb, s *x, int *ldx, s *ferr, s *berr, s *work, int *info) noexcept nogil +cdef void sptsv(int *n, int *nrhs, s *d, s *e, s *b, int *ldb, int *info) noexcept nogil +cdef void sptsvx(char *fact, int *n, int *nrhs, s *d, s *e, s *df, s *ef, s *b, int *ldb, s *x, int *ldx, s *rcond, s *ferr, s *berr, s *work, int *info) noexcept nogil +cdef void spttrf(int *n, s *d, s *e, int *info) noexcept nogil +cdef void spttrs(int *n, int *nrhs, s *d, s *e, s *b, int *ldb, int *info) noexcept nogil +cdef void sptts2(int *n, int *nrhs, s *d, s *e, s *b, int *ldb) noexcept nogil +cdef void srscl(int *n, s *sa, s *sx, int *incx) noexcept nogil +cdef void ssbev(char *jobz, char *uplo, int *n, int *kd, s *ab, int *ldab, s *w, s *z, int *ldz, s *work, int *info) noexcept nogil +cdef void ssbevd(char *jobz, char *uplo, int *n, int *kd, s *ab, int *ldab, s *w, s *z, int *ldz, s *work, int *lwork, int *iwork, int *liwork, int *info) noexcept nogil +cdef void ssbevx(char *jobz, char *range, char *uplo, int *n, int *kd, s *ab, int *ldab, s *q, int *ldq, s *vl, s *vu, int *il, int *iu, s *abstol, int *m, s *w, s *z, int *ldz, s *work, int *iwork, int *ifail, int *info) noexcept nogil +cdef void ssbgst(char *vect, char *uplo, int *n, int *ka, int *kb, s *ab, int *ldab, s *bb, int *ldbb, s *x, int *ldx, s *work, int *info) noexcept nogil +cdef void ssbgv(char *jobz, char *uplo, int *n, int *ka, int *kb, s *ab, int *ldab, s *bb, int *ldbb, s *w, s *z, int *ldz, s *work, int *info) noexcept nogil +cdef void ssbgvd(char *jobz, char *uplo, int *n, int *ka, int *kb, s *ab, int *ldab, s *bb, int *ldbb, s *w, s *z, int *ldz, s *work, int *lwork, int *iwork, int *liwork, int *info) noexcept nogil +cdef void ssbgvx(char *jobz, char *range, char *uplo, int *n, int *ka, int *kb, s *ab, int *ldab, s *bb, int *ldbb, s *q, int *ldq, s *vl, s *vu, int *il, int *iu, s *abstol, int *m, s *w, s *z, int *ldz, s *work, int *iwork, int *ifail, int *info) noexcept nogil +cdef void ssbtrd(char *vect, char *uplo, int *n, int *kd, s *ab, int *ldab, s *d, s *e, s *q, int *ldq, s *work, int *info) noexcept nogil +cdef void ssfrk(char *transr, char *uplo, char *trans, int *n, int *k, s *alpha, s *a, int *lda, s *beta, s *c) noexcept nogil +cdef void sspcon(char *uplo, int *n, s *ap, int *ipiv, s *anorm, s *rcond, s *work, int *iwork, int *info) noexcept nogil +cdef void sspev(char *jobz, char *uplo, int *n, s *ap, s *w, s *z, int *ldz, s *work, int *info) noexcept nogil +cdef void sspevd(char *jobz, char *uplo, int *n, s *ap, s *w, s *z, int *ldz, s *work, int *lwork, int *iwork, int *liwork, int *info) noexcept nogil +cdef void sspevx(char *jobz, char *range, char *uplo, int *n, s *ap, s *vl, s *vu, int *il, int *iu, s *abstol, int *m, s *w, s *z, int *ldz, s *work, int *iwork, int *ifail, int *info) noexcept nogil +cdef void sspgst(int *itype, char *uplo, int *n, s *ap, s *bp, int *info) noexcept nogil +cdef void sspgv(int *itype, char *jobz, char *uplo, int *n, s *ap, s *bp, s *w, s *z, int *ldz, s *work, int *info) noexcept nogil +cdef void sspgvd(int *itype, char *jobz, char *uplo, int *n, s *ap, s *bp, s *w, s *z, int *ldz, s *work, int *lwork, int *iwork, int *liwork, int *info) noexcept nogil +cdef void sspgvx(int *itype, char *jobz, char *range, char *uplo, int *n, s *ap, s *bp, s *vl, s *vu, int *il, int *iu, s *abstol, int *m, s *w, s *z, int *ldz, s *work, int *iwork, int *ifail, int *info) noexcept nogil +cdef void ssprfs(char *uplo, int *n, int *nrhs, s *ap, s *afp, int *ipiv, s *b, int *ldb, s *x, int *ldx, s *ferr, s *berr, s *work, int *iwork, int *info) noexcept nogil +cdef void sspsv(char *uplo, int *n, int *nrhs, s *ap, int *ipiv, s *b, int *ldb, int *info) noexcept nogil +cdef void sspsvx(char *fact, char *uplo, int *n, int *nrhs, s *ap, s *afp, int *ipiv, s *b, int *ldb, s *x, int *ldx, s *rcond, s *ferr, s *berr, s *work, int *iwork, int *info) noexcept nogil +cdef void ssptrd(char *uplo, int *n, s *ap, s *d, s *e, s *tau, int *info) noexcept nogil +cdef void ssptrf(char *uplo, int *n, s *ap, int *ipiv, int *info) noexcept nogil +cdef void ssptri(char *uplo, int *n, s *ap, int *ipiv, s *work, int *info) noexcept nogil +cdef void ssptrs(char *uplo, int *n, int *nrhs, s *ap, int *ipiv, s *b, int *ldb, int *info) noexcept nogil +cdef void sstebz(char *range, char *order, int *n, s *vl, s *vu, int *il, int *iu, s *abstol, s *d, s *e, int *m, int *nsplit, s *w, int *iblock, int *isplit, s *work, int *iwork, int *info) noexcept nogil +cdef void sstedc(char *compz, int *n, s *d, s *e, s *z, int *ldz, s *work, int *lwork, int *iwork, int *liwork, int *info) noexcept nogil +cdef void sstegr(char *jobz, char *range, int *n, s *d, s *e, s *vl, s *vu, int *il, int *iu, s *abstol, int *m, s *w, s *z, int *ldz, int *isuppz, s *work, int *lwork, int *iwork, int *liwork, int *info) noexcept nogil +cdef void sstein(int *n, s *d, s *e, int *m, s *w, int *iblock, int *isplit, s *z, int *ldz, s *work, int *iwork, int *ifail, int *info) noexcept nogil +cdef void sstemr(char *jobz, char *range, int *n, s *d, s *e, s *vl, s *vu, int *il, int *iu, int *m, s *w, s *z, int *ldz, int *nzc, int *isuppz, bint *tryrac, s *work, int *lwork, int *iwork, int *liwork, int *info) noexcept nogil +cdef void ssteqr(char *compz, int *n, s *d, s *e, s *z, int *ldz, s *work, int *info) noexcept nogil +cdef void ssterf(int *n, s *d, s *e, int *info) noexcept nogil +cdef void sstev(char *jobz, int *n, s *d, s *e, s *z, int *ldz, s *work, int *info) noexcept nogil +cdef void sstevd(char *jobz, int *n, s *d, s *e, s *z, int *ldz, s *work, int *lwork, int *iwork, int *liwork, int *info) noexcept nogil +cdef void sstevr(char *jobz, char *range, int *n, s *d, s *e, s *vl, s *vu, int *il, int *iu, s *abstol, int *m, s *w, s *z, int *ldz, int *isuppz, s *work, int *lwork, int *iwork, int *liwork, int *info) noexcept nogil +cdef void sstevx(char *jobz, char *range, int *n, s *d, s *e, s *vl, s *vu, int *il, int *iu, s *abstol, int *m, s *w, s *z, int *ldz, s *work, int *iwork, int *ifail, int *info) noexcept nogil +cdef void ssycon(char *uplo, int *n, s *a, int *lda, int *ipiv, s *anorm, s *rcond, s *work, int *iwork, int *info) noexcept nogil +cdef void ssyconv(char *uplo, char *way, int *n, s *a, int *lda, int *ipiv, s *work, int *info) noexcept nogil +cdef void ssyequb(char *uplo, int *n, s *a, int *lda, s *s, s *scond, s *amax, s *work, int *info) noexcept nogil +cdef void ssyev(char *jobz, char *uplo, int *n, s *a, int *lda, s *w, s *work, int *lwork, int *info) noexcept nogil +cdef void ssyevd(char *jobz, char *uplo, int *n, s *a, int *lda, s *w, s *work, int *lwork, int *iwork, int *liwork, int *info) noexcept nogil +cdef void ssyevr(char *jobz, char *range, char *uplo, int *n, s *a, int *lda, s *vl, s *vu, int *il, int *iu, s *abstol, int *m, s *w, s *z, int *ldz, int *isuppz, s *work, int *lwork, int *iwork, int *liwork, int *info) noexcept nogil +cdef void ssyevx(char *jobz, char *range, char *uplo, int *n, s *a, int *lda, s *vl, s *vu, int *il, int *iu, s *abstol, int *m, s *w, s *z, int *ldz, s *work, int *lwork, int *iwork, int *ifail, int *info) noexcept nogil +cdef void ssygs2(int *itype, char *uplo, int *n, s *a, int *lda, s *b, int *ldb, int *info) noexcept nogil +cdef void ssygst(int *itype, char *uplo, int *n, s *a, int *lda, s *b, int *ldb, int *info) noexcept nogil +cdef void ssygv(int *itype, char *jobz, char *uplo, int *n, s *a, int *lda, s *b, int *ldb, s *w, s *work, int *lwork, int *info) noexcept nogil +cdef void ssygvd(int *itype, char *jobz, char *uplo, int *n, s *a, int *lda, s *b, int *ldb, s *w, s *work, int *lwork, int *iwork, int *liwork, int *info) noexcept nogil +cdef void ssygvx(int *itype, char *jobz, char *range, char *uplo, int *n, s *a, int *lda, s *b, int *ldb, s *vl, s *vu, int *il, int *iu, s *abstol, int *m, s *w, s *z, int *ldz, s *work, int *lwork, int *iwork, int *ifail, int *info) noexcept nogil +cdef void ssyrfs(char *uplo, int *n, int *nrhs, s *a, int *lda, s *af, int *ldaf, int *ipiv, s *b, int *ldb, s *x, int *ldx, s *ferr, s *berr, s *work, int *iwork, int *info) noexcept nogil +cdef void ssysv(char *uplo, int *n, int *nrhs, s *a, int *lda, int *ipiv, s *b, int *ldb, s *work, int *lwork, int *info) noexcept nogil +cdef void ssysvx(char *fact, char *uplo, int *n, int *nrhs, s *a, int *lda, s *af, int *ldaf, int *ipiv, s *b, int *ldb, s *x, int *ldx, s *rcond, s *ferr, s *berr, s *work, int *lwork, int *iwork, int *info) noexcept nogil +cdef void ssyswapr(char *uplo, int *n, s *a, int *lda, int *i1, int *i2) noexcept nogil +cdef void ssytd2(char *uplo, int *n, s *a, int *lda, s *d, s *e, s *tau, int *info) noexcept nogil +cdef void ssytf2(char *uplo, int *n, s *a, int *lda, int *ipiv, int *info) noexcept nogil +cdef void ssytrd(char *uplo, int *n, s *a, int *lda, s *d, s *e, s *tau, s *work, int *lwork, int *info) noexcept nogil +cdef void ssytrf(char *uplo, int *n, s *a, int *lda, int *ipiv, s *work, int *lwork, int *info) noexcept nogil +cdef void ssytri(char *uplo, int *n, s *a, int *lda, int *ipiv, s *work, int *info) noexcept nogil +cdef void ssytri2(char *uplo, int *n, s *a, int *lda, int *ipiv, s *work, int *lwork, int *info) noexcept nogil +cdef void ssytri2x(char *uplo, int *n, s *a, int *lda, int *ipiv, s *work, int *nb, int *info) noexcept nogil +cdef void ssytrs(char *uplo, int *n, int *nrhs, s *a, int *lda, int *ipiv, s *b, int *ldb, int *info) noexcept nogil +cdef void ssytrs2(char *uplo, int *n, int *nrhs, s *a, int *lda, int *ipiv, s *b, int *ldb, s *work, int *info) noexcept nogil +cdef void stbcon(char *norm, char *uplo, char *diag, int *n, int *kd, s *ab, int *ldab, s *rcond, s *work, int *iwork, int *info) noexcept nogil +cdef void stbrfs(char *uplo, char *trans, char *diag, int *n, int *kd, int *nrhs, s *ab, int *ldab, s *b, int *ldb, s *x, int *ldx, s *ferr, s *berr, s *work, int *iwork, int *info) noexcept nogil +cdef void stbtrs(char *uplo, char *trans, char *diag, int *n, int *kd, int *nrhs, s *ab, int *ldab, s *b, int *ldb, int *info) noexcept nogil +cdef void stfsm(char *transr, char *side, char *uplo, char *trans, char *diag, int *m, int *n, s *alpha, s *a, s *b, int *ldb) noexcept nogil +cdef void stftri(char *transr, char *uplo, char *diag, int *n, s *a, int *info) noexcept nogil +cdef void stfttp(char *transr, char *uplo, int *n, s *arf, s *ap, int *info) noexcept nogil +cdef void stfttr(char *transr, char *uplo, int *n, s *arf, s *a, int *lda, int *info) noexcept nogil +cdef void stgevc(char *side, char *howmny, bint *select, int *n, s *s, int *lds, s *p, int *ldp, s *vl, int *ldvl, s *vr, int *ldvr, int *mm, int *m, s *work, int *info) noexcept nogil +cdef void stgex2(bint *wantq, bint *wantz, int *n, s *a, int *lda, s *b, int *ldb, s *q, int *ldq, s *z, int *ldz, int *j1, int *n1, int *n2, s *work, int *lwork, int *info) noexcept nogil +cdef void stgexc(bint *wantq, bint *wantz, int *n, s *a, int *lda, s *b, int *ldb, s *q, int *ldq, s *z, int *ldz, int *ifst, int *ilst, s *work, int *lwork, int *info) noexcept nogil +cdef void stgsen(int *ijob, bint *wantq, bint *wantz, bint *select, int *n, s *a, int *lda, s *b, int *ldb, s *alphar, s *alphai, s *beta, s *q, int *ldq, s *z, int *ldz, int *m, s *pl, s *pr, s *dif, s *work, int *lwork, int *iwork, int *liwork, int *info) noexcept nogil +cdef void stgsja(char *jobu, char *jobv, char *jobq, int *m, int *p, int *n, int *k, int *l, s *a, int *lda, s *b, int *ldb, s *tola, s *tolb, s *alpha, s *beta, s *u, int *ldu, s *v, int *ldv, s *q, int *ldq, s *work, int *ncycle, int *info) noexcept nogil +cdef void stgsna(char *job, char *howmny, bint *select, int *n, s *a, int *lda, s *b, int *ldb, s *vl, int *ldvl, s *vr, int *ldvr, s *s, s *dif, int *mm, int *m, s *work, int *lwork, int *iwork, int *info) noexcept nogil +cdef void stgsy2(char *trans, int *ijob, int *m, int *n, s *a, int *lda, s *b, int *ldb, s *c, int *ldc, s *d, int *ldd, s *e, int *lde, s *f, int *ldf, s *scale, s *rdsum, s *rdscal, int *iwork, int *pq, int *info) noexcept nogil +cdef void stgsyl(char *trans, int *ijob, int *m, int *n, s *a, int *lda, s *b, int *ldb, s *c, int *ldc, s *d, int *ldd, s *e, int *lde, s *f, int *ldf, s *scale, s *dif, s *work, int *lwork, int *iwork, int *info) noexcept nogil +cdef void stpcon(char *norm, char *uplo, char *diag, int *n, s *ap, s *rcond, s *work, int *iwork, int *info) noexcept nogil +cdef void stpmqrt(char *side, char *trans, int *m, int *n, int *k, int *l, int *nb, s *v, int *ldv, s *t, int *ldt, s *a, int *lda, s *b, int *ldb, s *work, int *info) noexcept nogil +cdef void stpqrt(int *m, int *n, int *l, int *nb, s *a, int *lda, s *b, int *ldb, s *t, int *ldt, s *work, int *info) noexcept nogil +cdef void stpqrt2(int *m, int *n, int *l, s *a, int *lda, s *b, int *ldb, s *t, int *ldt, int *info) noexcept nogil +cdef void stprfb(char *side, char *trans, char *direct, char *storev, int *m, int *n, int *k, int *l, s *v, int *ldv, s *t, int *ldt, s *a, int *lda, s *b, int *ldb, s *work, int *ldwork) noexcept nogil +cdef void stprfs(char *uplo, char *trans, char *diag, int *n, int *nrhs, s *ap, s *b, int *ldb, s *x, int *ldx, s *ferr, s *berr, s *work, int *iwork, int *info) noexcept nogil +cdef void stptri(char *uplo, char *diag, int *n, s *ap, int *info) noexcept nogil +cdef void stptrs(char *uplo, char *trans, char *diag, int *n, int *nrhs, s *ap, s *b, int *ldb, int *info) noexcept nogil +cdef void stpttf(char *transr, char *uplo, int *n, s *ap, s *arf, int *info) noexcept nogil +cdef void stpttr(char *uplo, int *n, s *ap, s *a, int *lda, int *info) noexcept nogil +cdef void strcon(char *norm, char *uplo, char *diag, int *n, s *a, int *lda, s *rcond, s *work, int *iwork, int *info) noexcept nogil +cdef void strevc(char *side, char *howmny, bint *select, int *n, s *t, int *ldt, s *vl, int *ldvl, s *vr, int *ldvr, int *mm, int *m, s *work, int *info) noexcept nogil +cdef void strexc(char *compq, int *n, s *t, int *ldt, s *q, int *ldq, int *ifst, int *ilst, s *work, int *info) noexcept nogil +cdef void strrfs(char *uplo, char *trans, char *diag, int *n, int *nrhs, s *a, int *lda, s *b, int *ldb, s *x, int *ldx, s *ferr, s *berr, s *work, int *iwork, int *info) noexcept nogil +cdef void strsen(char *job, char *compq, bint *select, int *n, s *t, int *ldt, s *q, int *ldq, s *wr, s *wi, int *m, s *s, s *sep, s *work, int *lwork, int *iwork, int *liwork, int *info) noexcept nogil +cdef void strsna(char *job, char *howmny, bint *select, int *n, s *t, int *ldt, s *vl, int *ldvl, s *vr, int *ldvr, s *s, s *sep, int *mm, int *m, s *work, int *ldwork, int *iwork, int *info) noexcept nogil +cdef void strsyl(char *trana, char *tranb, int *isgn, int *m, int *n, s *a, int *lda, s *b, int *ldb, s *c, int *ldc, s *scale, int *info) noexcept nogil +cdef void strti2(char *uplo, char *diag, int *n, s *a, int *lda, int *info) noexcept nogil +cdef void strtri(char *uplo, char *diag, int *n, s *a, int *lda, int *info) noexcept nogil +cdef void strtrs(char *uplo, char *trans, char *diag, int *n, int *nrhs, s *a, int *lda, s *b, int *ldb, int *info) noexcept nogil +cdef void strttf(char *transr, char *uplo, int *n, s *a, int *lda, s *arf, int *info) noexcept nogil +cdef void strttp(char *uplo, int *n, s *a, int *lda, s *ap, int *info) noexcept nogil +cdef void stzrzf(int *m, int *n, s *a, int *lda, s *tau, s *work, int *lwork, int *info) noexcept nogil +cdef void xerbla_array(char *srname_array, int *srname_len, int *info) noexcept nogil +cdef void zbbcsd(char *jobu1, char *jobu2, char *jobv1t, char *jobv2t, char *trans, int *m, int *p, int *q, d *theta, d *phi, z *u1, int *ldu1, z *u2, int *ldu2, z *v1t, int *ldv1t, z *v2t, int *ldv2t, d *b11d, d *b11e, d *b12d, d *b12e, d *b21d, d *b21e, d *b22d, d *b22e, d *rwork, int *lrwork, int *info) noexcept nogil +cdef void zbdsqr(char *uplo, int *n, int *ncvt, int *nru, int *ncc, d *d, d *e, z *vt, int *ldvt, z *u, int *ldu, z *c, int *ldc, d *rwork, int *info) noexcept nogil +cdef void zcgesv(int *n, int *nrhs, z *a, int *lda, int *ipiv, z *b, int *ldb, z *x, int *ldx, z *work, c *swork, d *rwork, int *iter, int *info) noexcept nogil +cdef void zcposv(char *uplo, int *n, int *nrhs, z *a, int *lda, z *b, int *ldb, z *x, int *ldx, z *work, c *swork, d *rwork, int *iter, int *info) noexcept nogil +cdef void zdrscl(int *n, d *sa, z *sx, int *incx) noexcept nogil +cdef void zgbbrd(char *vect, int *m, int *n, int *ncc, int *kl, int *ku, z *ab, int *ldab, d *d, d *e, z *q, int *ldq, z *pt, int *ldpt, z *c, int *ldc, z *work, d *rwork, int *info) noexcept nogil +cdef void zgbcon(char *norm, int *n, int *kl, int *ku, z *ab, int *ldab, int *ipiv, d *anorm, d *rcond, z *work, d *rwork, int *info) noexcept nogil +cdef void zgbequ(int *m, int *n, int *kl, int *ku, z *ab, int *ldab, d *r, d *c, d *rowcnd, d *colcnd, d *amax, int *info) noexcept nogil +cdef void zgbequb(int *m, int *n, int *kl, int *ku, z *ab, int *ldab, d *r, d *c, d *rowcnd, d *colcnd, d *amax, int *info) noexcept nogil +cdef void zgbrfs(char *trans, int *n, int *kl, int *ku, int *nrhs, z *ab, int *ldab, z *afb, int *ldafb, int *ipiv, z *b, int *ldb, z *x, int *ldx, d *ferr, d *berr, z *work, d *rwork, int *info) noexcept nogil +cdef void zgbsv(int *n, int *kl, int *ku, int *nrhs, z *ab, int *ldab, int *ipiv, z *b, int *ldb, int *info) noexcept nogil +cdef void zgbsvx(char *fact, char *trans, int *n, int *kl, int *ku, int *nrhs, z *ab, int *ldab, z *afb, int *ldafb, int *ipiv, char *equed, d *r, d *c, z *b, int *ldb, z *x, int *ldx, d *rcond, d *ferr, d *berr, z *work, d *rwork, int *info) noexcept nogil +cdef void zgbtf2(int *m, int *n, int *kl, int *ku, z *ab, int *ldab, int *ipiv, int *info) noexcept nogil +cdef void zgbtrf(int *m, int *n, int *kl, int *ku, z *ab, int *ldab, int *ipiv, int *info) noexcept nogil +cdef void zgbtrs(char *trans, int *n, int *kl, int *ku, int *nrhs, z *ab, int *ldab, int *ipiv, z *b, int *ldb, int *info) noexcept nogil +cdef void zgebak(char *job, char *side, int *n, int *ilo, int *ihi, d *scale, int *m, z *v, int *ldv, int *info) noexcept nogil +cdef void zgebal(char *job, int *n, z *a, int *lda, int *ilo, int *ihi, d *scale, int *info) noexcept nogil +cdef void zgebd2(int *m, int *n, z *a, int *lda, d *d, d *e, z *tauq, z *taup, z *work, int *info) noexcept nogil +cdef void zgebrd(int *m, int *n, z *a, int *lda, d *d, d *e, z *tauq, z *taup, z *work, int *lwork, int *info) noexcept nogil +cdef void zgecon(char *norm, int *n, z *a, int *lda, d *anorm, d *rcond, z *work, d *rwork, int *info) noexcept nogil +cdef void zgeequ(int *m, int *n, z *a, int *lda, d *r, d *c, d *rowcnd, d *colcnd, d *amax, int *info) noexcept nogil +cdef void zgeequb(int *m, int *n, z *a, int *lda, d *r, d *c, d *rowcnd, d *colcnd, d *amax, int *info) noexcept nogil +cdef void zgees(char *jobvs, char *sort, zselect1 *select, int *n, z *a, int *lda, int *sdim, z *w, z *vs, int *ldvs, z *work, int *lwork, d *rwork, bint *bwork, int *info) noexcept nogil +cdef void zgeesx(char *jobvs, char *sort, zselect1 *select, char *sense, int *n, z *a, int *lda, int *sdim, z *w, z *vs, int *ldvs, d *rconde, d *rcondv, z *work, int *lwork, d *rwork, bint *bwork, int *info) noexcept nogil +cdef void zgeev(char *jobvl, char *jobvr, int *n, z *a, int *lda, z *w, z *vl, int *ldvl, z *vr, int *ldvr, z *work, int *lwork, d *rwork, int *info) noexcept nogil +cdef void zgeevx(char *balanc, char *jobvl, char *jobvr, char *sense, int *n, z *a, int *lda, z *w, z *vl, int *ldvl, z *vr, int *ldvr, int *ilo, int *ihi, d *scale, d *abnrm, d *rconde, d *rcondv, z *work, int *lwork, d *rwork, int *info) noexcept nogil +cdef void zgehd2(int *n, int *ilo, int *ihi, z *a, int *lda, z *tau, z *work, int *info) noexcept nogil +cdef void zgehrd(int *n, int *ilo, int *ihi, z *a, int *lda, z *tau, z *work, int *lwork, int *info) noexcept nogil +cdef void zgelq2(int *m, int *n, z *a, int *lda, z *tau, z *work, int *info) noexcept nogil +cdef void zgelqf(int *m, int *n, z *a, int *lda, z *tau, z *work, int *lwork, int *info) noexcept nogil +cdef void zgels(char *trans, int *m, int *n, int *nrhs, z *a, int *lda, z *b, int *ldb, z *work, int *lwork, int *info) noexcept nogil +cdef void zgelsd(int *m, int *n, int *nrhs, z *a, int *lda, z *b, int *ldb, d *s, d *rcond, int *rank, z *work, int *lwork, d *rwork, int *iwork, int *info) noexcept nogil +cdef void zgelss(int *m, int *n, int *nrhs, z *a, int *lda, z *b, int *ldb, d *s, d *rcond, int *rank, z *work, int *lwork, d *rwork, int *info) noexcept nogil +cdef void zgelsy(int *m, int *n, int *nrhs, z *a, int *lda, z *b, int *ldb, int *jpvt, d *rcond, int *rank, z *work, int *lwork, d *rwork, int *info) noexcept nogil +cdef void zgemqrt(char *side, char *trans, int *m, int *n, int *k, int *nb, z *v, int *ldv, z *t, int *ldt, z *c, int *ldc, z *work, int *info) noexcept nogil +cdef void zgeql2(int *m, int *n, z *a, int *lda, z *tau, z *work, int *info) noexcept nogil +cdef void zgeqlf(int *m, int *n, z *a, int *lda, z *tau, z *work, int *lwork, int *info) noexcept nogil +cdef void zgeqp3(int *m, int *n, z *a, int *lda, int *jpvt, z *tau, z *work, int *lwork, d *rwork, int *info) noexcept nogil +cdef void zgeqr2(int *m, int *n, z *a, int *lda, z *tau, z *work, int *info) noexcept nogil +cdef void zgeqr2p(int *m, int *n, z *a, int *lda, z *tau, z *work, int *info) noexcept nogil +cdef void zgeqrf(int *m, int *n, z *a, int *lda, z *tau, z *work, int *lwork, int *info) noexcept nogil +cdef void zgeqrfp(int *m, int *n, z *a, int *lda, z *tau, z *work, int *lwork, int *info) noexcept nogil +cdef void zgeqrt(int *m, int *n, int *nb, z *a, int *lda, z *t, int *ldt, z *work, int *info) noexcept nogil +cdef void zgeqrt2(int *m, int *n, z *a, int *lda, z *t, int *ldt, int *info) noexcept nogil +cdef void zgeqrt3(int *m, int *n, z *a, int *lda, z *t, int *ldt, int *info) noexcept nogil +cdef void zgerfs(char *trans, int *n, int *nrhs, z *a, int *lda, z *af, int *ldaf, int *ipiv, z *b, int *ldb, z *x, int *ldx, d *ferr, d *berr, z *work, d *rwork, int *info) noexcept nogil +cdef void zgerq2(int *m, int *n, z *a, int *lda, z *tau, z *work, int *info) noexcept nogil +cdef void zgerqf(int *m, int *n, z *a, int *lda, z *tau, z *work, int *lwork, int *info) noexcept nogil +cdef void zgesc2(int *n, z *a, int *lda, z *rhs, int *ipiv, int *jpiv, d *scale) noexcept nogil +cdef void zgesdd(char *jobz, int *m, int *n, z *a, int *lda, d *s, z *u, int *ldu, z *vt, int *ldvt, z *work, int *lwork, d *rwork, int *iwork, int *info) noexcept nogil +cdef void zgesv(int *n, int *nrhs, z *a, int *lda, int *ipiv, z *b, int *ldb, int *info) noexcept nogil +cdef void zgesvd(char *jobu, char *jobvt, int *m, int *n, z *a, int *lda, d *s, z *u, int *ldu, z *vt, int *ldvt, z *work, int *lwork, d *rwork, int *info) noexcept nogil +cdef void zgesvx(char *fact, char *trans, int *n, int *nrhs, z *a, int *lda, z *af, int *ldaf, int *ipiv, char *equed, d *r, d *c, z *b, int *ldb, z *x, int *ldx, d *rcond, d *ferr, d *berr, z *work, d *rwork, int *info) noexcept nogil +cdef void zgetc2(int *n, z *a, int *lda, int *ipiv, int *jpiv, int *info) noexcept nogil +cdef void zgetf2(int *m, int *n, z *a, int *lda, int *ipiv, int *info) noexcept nogil +cdef void zgetrf(int *m, int *n, z *a, int *lda, int *ipiv, int *info) noexcept nogil +cdef void zgetri(int *n, z *a, int *lda, int *ipiv, z *work, int *lwork, int *info) noexcept nogil +cdef void zgetrs(char *trans, int *n, int *nrhs, z *a, int *lda, int *ipiv, z *b, int *ldb, int *info) noexcept nogil +cdef void zggbak(char *job, char *side, int *n, int *ilo, int *ihi, d *lscale, d *rscale, int *m, z *v, int *ldv, int *info) noexcept nogil +cdef void zggbal(char *job, int *n, z *a, int *lda, z *b, int *ldb, int *ilo, int *ihi, d *lscale, d *rscale, d *work, int *info) noexcept nogil +cdef void zgges(char *jobvsl, char *jobvsr, char *sort, zselect2 *selctg, int *n, z *a, int *lda, z *b, int *ldb, int *sdim, z *alpha, z *beta, z *vsl, int *ldvsl, z *vsr, int *ldvsr, z *work, int *lwork, d *rwork, bint *bwork, int *info) noexcept nogil +cdef void zggesx(char *jobvsl, char *jobvsr, char *sort, zselect2 *selctg, char *sense, int *n, z *a, int *lda, z *b, int *ldb, int *sdim, z *alpha, z *beta, z *vsl, int *ldvsl, z *vsr, int *ldvsr, d *rconde, d *rcondv, z *work, int *lwork, d *rwork, int *iwork, int *liwork, bint *bwork, int *info) noexcept nogil +cdef void zggev(char *jobvl, char *jobvr, int *n, z *a, int *lda, z *b, int *ldb, z *alpha, z *beta, z *vl, int *ldvl, z *vr, int *ldvr, z *work, int *lwork, d *rwork, int *info) noexcept nogil +cdef void zggevx(char *balanc, char *jobvl, char *jobvr, char *sense, int *n, z *a, int *lda, z *b, int *ldb, z *alpha, z *beta, z *vl, int *ldvl, z *vr, int *ldvr, int *ilo, int *ihi, d *lscale, d *rscale, d *abnrm, d *bbnrm, d *rconde, d *rcondv, z *work, int *lwork, d *rwork, int *iwork, bint *bwork, int *info) noexcept nogil +cdef void zggglm(int *n, int *m, int *p, z *a, int *lda, z *b, int *ldb, z *d, z *x, z *y, z *work, int *lwork, int *info) noexcept nogil +cdef void zgghrd(char *compq, char *compz, int *n, int *ilo, int *ihi, z *a, int *lda, z *b, int *ldb, z *q, int *ldq, z *z, int *ldz, int *info) noexcept nogil +cdef void zgglse(int *m, int *n, int *p, z *a, int *lda, z *b, int *ldb, z *c, z *d, z *x, z *work, int *lwork, int *info) noexcept nogil +cdef void zggqrf(int *n, int *m, int *p, z *a, int *lda, z *taua, z *b, int *ldb, z *taub, z *work, int *lwork, int *info) noexcept nogil +cdef void zggrqf(int *m, int *p, int *n, z *a, int *lda, z *taua, z *b, int *ldb, z *taub, z *work, int *lwork, int *info) noexcept nogil +cdef void zgtcon(char *norm, int *n, z *dl, z *d, z *du, z *du2, int *ipiv, d *anorm, d *rcond, z *work, int *info) noexcept nogil +cdef void zgtrfs(char *trans, int *n, int *nrhs, z *dl, z *d, z *du, z *dlf, z *df, z *duf, z *du2, int *ipiv, z *b, int *ldb, z *x, int *ldx, d *ferr, d *berr, z *work, d *rwork, int *info) noexcept nogil +cdef void zgtsv(int *n, int *nrhs, z *dl, z *d, z *du, z *b, int *ldb, int *info) noexcept nogil +cdef void zgtsvx(char *fact, char *trans, int *n, int *nrhs, z *dl, z *d, z *du, z *dlf, z *df, z *duf, z *du2, int *ipiv, z *b, int *ldb, z *x, int *ldx, d *rcond, d *ferr, d *berr, z *work, d *rwork, int *info) noexcept nogil +cdef void zgttrf(int *n, z *dl, z *d, z *du, z *du2, int *ipiv, int *info) noexcept nogil +cdef void zgttrs(char *trans, int *n, int *nrhs, z *dl, z *d, z *du, z *du2, int *ipiv, z *b, int *ldb, int *info) noexcept nogil +cdef void zgtts2(int *itrans, int *n, int *nrhs, z *dl, z *d, z *du, z *du2, int *ipiv, z *b, int *ldb) noexcept nogil +cdef void zhbev(char *jobz, char *uplo, int *n, int *kd, z *ab, int *ldab, d *w, z *z, int *ldz, z *work, d *rwork, int *info) noexcept nogil +cdef void zhbevd(char *jobz, char *uplo, int *n, int *kd, z *ab, int *ldab, d *w, z *z, int *ldz, z *work, int *lwork, d *rwork, int *lrwork, int *iwork, int *liwork, int *info) noexcept nogil +cdef void zhbevx(char *jobz, char *range, char *uplo, int *n, int *kd, z *ab, int *ldab, z *q, int *ldq, d *vl, d *vu, int *il, int *iu, d *abstol, int *m, d *w, z *z, int *ldz, z *work, d *rwork, int *iwork, int *ifail, int *info) noexcept nogil +cdef void zhbgst(char *vect, char *uplo, int *n, int *ka, int *kb, z *ab, int *ldab, z *bb, int *ldbb, z *x, int *ldx, z *work, d *rwork, int *info) noexcept nogil +cdef void zhbgv(char *jobz, char *uplo, int *n, int *ka, int *kb, z *ab, int *ldab, z *bb, int *ldbb, d *w, z *z, int *ldz, z *work, d *rwork, int *info) noexcept nogil +cdef void zhbgvd(char *jobz, char *uplo, int *n, int *ka, int *kb, z *ab, int *ldab, z *bb, int *ldbb, d *w, z *z, int *ldz, z *work, int *lwork, d *rwork, int *lrwork, int *iwork, int *liwork, int *info) noexcept nogil +cdef void zhbgvx(char *jobz, char *range, char *uplo, int *n, int *ka, int *kb, z *ab, int *ldab, z *bb, int *ldbb, z *q, int *ldq, d *vl, d *vu, int *il, int *iu, d *abstol, int *m, d *w, z *z, int *ldz, z *work, d *rwork, int *iwork, int *ifail, int *info) noexcept nogil +cdef void zhbtrd(char *vect, char *uplo, int *n, int *kd, z *ab, int *ldab, d *d, d *e, z *q, int *ldq, z *work, int *info) noexcept nogil +cdef void zhecon(char *uplo, int *n, z *a, int *lda, int *ipiv, d *anorm, d *rcond, z *work, int *info) noexcept nogil +cdef void zheequb(char *uplo, int *n, z *a, int *lda, d *s, d *scond, d *amax, z *work, int *info) noexcept nogil +cdef void zheev(char *jobz, char *uplo, int *n, z *a, int *lda, d *w, z *work, int *lwork, d *rwork, int *info) noexcept nogil +cdef void zheevd(char *jobz, char *uplo, int *n, z *a, int *lda, d *w, z *work, int *lwork, d *rwork, int *lrwork, int *iwork, int *liwork, int *info) noexcept nogil +cdef void zheevr(char *jobz, char *range, char *uplo, int *n, z *a, int *lda, d *vl, d *vu, int *il, int *iu, d *abstol, int *m, d *w, z *z, int *ldz, int *isuppz, z *work, int *lwork, d *rwork, int *lrwork, int *iwork, int *liwork, int *info) noexcept nogil +cdef void zheevx(char *jobz, char *range, char *uplo, int *n, z *a, int *lda, d *vl, d *vu, int *il, int *iu, d *abstol, int *m, d *w, z *z, int *ldz, z *work, int *lwork, d *rwork, int *iwork, int *ifail, int *info) noexcept nogil +cdef void zhegs2(int *itype, char *uplo, int *n, z *a, int *lda, z *b, int *ldb, int *info) noexcept nogil +cdef void zhegst(int *itype, char *uplo, int *n, z *a, int *lda, z *b, int *ldb, int *info) noexcept nogil +cdef void zhegv(int *itype, char *jobz, char *uplo, int *n, z *a, int *lda, z *b, int *ldb, d *w, z *work, int *lwork, d *rwork, int *info) noexcept nogil +cdef void zhegvd(int *itype, char *jobz, char *uplo, int *n, z *a, int *lda, z *b, int *ldb, d *w, z *work, int *lwork, d *rwork, int *lrwork, int *iwork, int *liwork, int *info) noexcept nogil +cdef void zhegvx(int *itype, char *jobz, char *range, char *uplo, int *n, z *a, int *lda, z *b, int *ldb, d *vl, d *vu, int *il, int *iu, d *abstol, int *m, d *w, z *z, int *ldz, z *work, int *lwork, d *rwork, int *iwork, int *ifail, int *info) noexcept nogil +cdef void zherfs(char *uplo, int *n, int *nrhs, z *a, int *lda, z *af, int *ldaf, int *ipiv, z *b, int *ldb, z *x, int *ldx, d *ferr, d *berr, z *work, d *rwork, int *info) noexcept nogil +cdef void zhesv(char *uplo, int *n, int *nrhs, z *a, int *lda, int *ipiv, z *b, int *ldb, z *work, int *lwork, int *info) noexcept nogil +cdef void zhesvx(char *fact, char *uplo, int *n, int *nrhs, z *a, int *lda, z *af, int *ldaf, int *ipiv, z *b, int *ldb, z *x, int *ldx, d *rcond, d *ferr, d *berr, z *work, int *lwork, d *rwork, int *info) noexcept nogil +cdef void zheswapr(char *uplo, int *n, z *a, int *lda, int *i1, int *i2) noexcept nogil +cdef void zhetd2(char *uplo, int *n, z *a, int *lda, d *d, d *e, z *tau, int *info) noexcept nogil +cdef void zhetf2(char *uplo, int *n, z *a, int *lda, int *ipiv, int *info) noexcept nogil +cdef void zhetrd(char *uplo, int *n, z *a, int *lda, d *d, d *e, z *tau, z *work, int *lwork, int *info) noexcept nogil +cdef void zhetrf(char *uplo, int *n, z *a, int *lda, int *ipiv, z *work, int *lwork, int *info) noexcept nogil +cdef void zhetri(char *uplo, int *n, z *a, int *lda, int *ipiv, z *work, int *info) noexcept nogil +cdef void zhetri2(char *uplo, int *n, z *a, int *lda, int *ipiv, z *work, int *lwork, int *info) noexcept nogil +cdef void zhetri2x(char *uplo, int *n, z *a, int *lda, int *ipiv, z *work, int *nb, int *info) noexcept nogil +cdef void zhetrs(char *uplo, int *n, int *nrhs, z *a, int *lda, int *ipiv, z *b, int *ldb, int *info) noexcept nogil +cdef void zhetrs2(char *uplo, int *n, int *nrhs, z *a, int *lda, int *ipiv, z *b, int *ldb, z *work, int *info) noexcept nogil +cdef void zhfrk(char *transr, char *uplo, char *trans, int *n, int *k, d *alpha, z *a, int *lda, d *beta, z *c) noexcept nogil +cdef void zhgeqz(char *job, char *compq, char *compz, int *n, int *ilo, int *ihi, z *h, int *ldh, z *t, int *ldt, z *alpha, z *beta, z *q, int *ldq, z *z, int *ldz, z *work, int *lwork, d *rwork, int *info) noexcept nogil +cdef void zhpcon(char *uplo, int *n, z *ap, int *ipiv, d *anorm, d *rcond, z *work, int *info) noexcept nogil +cdef void zhpev(char *jobz, char *uplo, int *n, z *ap, d *w, z *z, int *ldz, z *work, d *rwork, int *info) noexcept nogil +cdef void zhpevd(char *jobz, char *uplo, int *n, z *ap, d *w, z *z, int *ldz, z *work, int *lwork, d *rwork, int *lrwork, int *iwork, int *liwork, int *info) noexcept nogil +cdef void zhpevx(char *jobz, char *range, char *uplo, int *n, z *ap, d *vl, d *vu, int *il, int *iu, d *abstol, int *m, d *w, z *z, int *ldz, z *work, d *rwork, int *iwork, int *ifail, int *info) noexcept nogil +cdef void zhpgst(int *itype, char *uplo, int *n, z *ap, z *bp, int *info) noexcept nogil +cdef void zhpgv(int *itype, char *jobz, char *uplo, int *n, z *ap, z *bp, d *w, z *z, int *ldz, z *work, d *rwork, int *info) noexcept nogil +cdef void zhpgvd(int *itype, char *jobz, char *uplo, int *n, z *ap, z *bp, d *w, z *z, int *ldz, z *work, int *lwork, d *rwork, int *lrwork, int *iwork, int *liwork, int *info) noexcept nogil +cdef void zhpgvx(int *itype, char *jobz, char *range, char *uplo, int *n, z *ap, z *bp, d *vl, d *vu, int *il, int *iu, d *abstol, int *m, d *w, z *z, int *ldz, z *work, d *rwork, int *iwork, int *ifail, int *info) noexcept nogil +cdef void zhprfs(char *uplo, int *n, int *nrhs, z *ap, z *afp, int *ipiv, z *b, int *ldb, z *x, int *ldx, d *ferr, d *berr, z *work, d *rwork, int *info) noexcept nogil +cdef void zhpsv(char *uplo, int *n, int *nrhs, z *ap, int *ipiv, z *b, int *ldb, int *info) noexcept nogil +cdef void zhpsvx(char *fact, char *uplo, int *n, int *nrhs, z *ap, z *afp, int *ipiv, z *b, int *ldb, z *x, int *ldx, d *rcond, d *ferr, d *berr, z *work, d *rwork, int *info) noexcept nogil +cdef void zhptrd(char *uplo, int *n, z *ap, d *d, d *e, z *tau, int *info) noexcept nogil +cdef void zhptrf(char *uplo, int *n, z *ap, int *ipiv, int *info) noexcept nogil +cdef void zhptri(char *uplo, int *n, z *ap, int *ipiv, z *work, int *info) noexcept nogil +cdef void zhptrs(char *uplo, int *n, int *nrhs, z *ap, int *ipiv, z *b, int *ldb, int *info) noexcept nogil +cdef void zhsein(char *side, char *eigsrc, char *initv, bint *select, int *n, z *h, int *ldh, z *w, z *vl, int *ldvl, z *vr, int *ldvr, int *mm, int *m, z *work, d *rwork, int *ifaill, int *ifailr, int *info) noexcept nogil +cdef void zhseqr(char *job, char *compz, int *n, int *ilo, int *ihi, z *h, int *ldh, z *w, z *z, int *ldz, z *work, int *lwork, int *info) noexcept nogil +cdef void zlabrd(int *m, int *n, int *nb, z *a, int *lda, d *d, d *e, z *tauq, z *taup, z *x, int *ldx, z *y, int *ldy) noexcept nogil +cdef void zlacgv(int *n, z *x, int *incx) noexcept nogil +cdef void zlacn2(int *n, z *v, z *x, d *est, int *kase, int *isave) noexcept nogil +cdef void zlacon(int *n, z *v, z *x, d *est, int *kase) noexcept nogil +cdef void zlacp2(char *uplo, int *m, int *n, d *a, int *lda, z *b, int *ldb) noexcept nogil +cdef void zlacpy(char *uplo, int *m, int *n, z *a, int *lda, z *b, int *ldb) noexcept nogil +cdef void zlacrm(int *m, int *n, z *a, int *lda, d *b, int *ldb, z *c, int *ldc, d *rwork) noexcept nogil +cdef void zlacrt(int *n, z *cx, int *incx, z *cy, int *incy, z *c, z *s) noexcept nogil +cdef z zladiv(z *x, z *y) noexcept nogil +cdef void zlaed0(int *qsiz, int *n, d *d, d *e, z *q, int *ldq, z *qstore, int *ldqs, d *rwork, int *iwork, int *info) noexcept nogil +cdef void zlaed7(int *n, int *cutpnt, int *qsiz, int *tlvls, int *curlvl, int *curpbm, d *d, z *q, int *ldq, d *rho, int *indxq, d *qstore, int *qptr, int *prmptr, int *perm, int *givptr, int *givcol, d *givnum, z *work, d *rwork, int *iwork, int *info) noexcept nogil +cdef void zlaed8(int *k, int *n, int *qsiz, z *q, int *ldq, d *d, d *rho, int *cutpnt, d *z, d *dlamda, z *q2, int *ldq2, d *w, int *indxp, int *indx, int *indxq, int *perm, int *givptr, int *givcol, d *givnum, int *info) noexcept nogil +cdef void zlaein(bint *rightv, bint *noinit, int *n, z *h, int *ldh, z *w, z *v, z *b, int *ldb, d *rwork, d *eps3, d *smlnum, int *info) noexcept nogil +cdef void zlaesy(z *a, z *b, z *c, z *rt1, z *rt2, z *evscal, z *cs1, z *sn1) noexcept nogil +cdef void zlaev2(z *a, z *b, z *c, d *rt1, d *rt2, d *cs1, z *sn1) noexcept nogil +cdef void zlag2c(int *m, int *n, z *a, int *lda, c *sa, int *ldsa, int *info) noexcept nogil +cdef void zlags2(bint *upper, d *a1, z *a2, d *a3, d *b1, z *b2, d *b3, d *csu, z *snu, d *csv, z *snv, d *csq, z *snq) noexcept nogil +cdef void zlagtm(char *trans, int *n, int *nrhs, d *alpha, z *dl, z *d, z *du, z *x, int *ldx, d *beta, z *b, int *ldb) noexcept nogil +cdef void zlahef(char *uplo, int *n, int *nb, int *kb, z *a, int *lda, int *ipiv, z *w, int *ldw, int *info) noexcept nogil +cdef void zlahqr(bint *wantt, bint *wantz, int *n, int *ilo, int *ihi, z *h, int *ldh, z *w, int *iloz, int *ihiz, z *z, int *ldz, int *info) noexcept nogil +cdef void zlahr2(int *n, int *k, int *nb, z *a, int *lda, z *tau, z *t, int *ldt, z *y, int *ldy) noexcept nogil +cdef void zlaic1(int *job, int *j, z *x, d *sest, z *w, z *gamma, d *sestpr, z *s, z *c) noexcept nogil +cdef void zlals0(int *icompq, int *nl, int *nr, int *sqre, int *nrhs, z *b, int *ldb, z *bx, int *ldbx, int *perm, int *givptr, int *givcol, int *ldgcol, d *givnum, int *ldgnum, d *poles, d *difl, d *difr, d *z, int *k, d *c, d *s, d *rwork, int *info) noexcept nogil +cdef void zlalsa(int *icompq, int *smlsiz, int *n, int *nrhs, z *b, int *ldb, z *bx, int *ldbx, d *u, int *ldu, d *vt, int *k, d *difl, d *difr, d *z, d *poles, int *givptr, int *givcol, int *ldgcol, int *perm, d *givnum, d *c, d *s, d *rwork, int *iwork, int *info) noexcept nogil +cdef void zlalsd(char *uplo, int *smlsiz, int *n, int *nrhs, d *d, d *e, z *b, int *ldb, d *rcond, int *rank, z *work, d *rwork, int *iwork, int *info) noexcept nogil +cdef d zlangb(char *norm, int *n, int *kl, int *ku, z *ab, int *ldab, d *work) noexcept nogil +cdef d zlange(char *norm, int *m, int *n, z *a, int *lda, d *work) noexcept nogil +cdef d zlangt(char *norm, int *n, z *dl, z *d_, z *du) noexcept nogil +cdef d zlanhb(char *norm, char *uplo, int *n, int *k, z *ab, int *ldab, d *work) noexcept nogil +cdef d zlanhe(char *norm, char *uplo, int *n, z *a, int *lda, d *work) noexcept nogil +cdef d zlanhf(char *norm, char *transr, char *uplo, int *n, z *a, d *work) noexcept nogil +cdef d zlanhp(char *norm, char *uplo, int *n, z *ap, d *work) noexcept nogil +cdef d zlanhs(char *norm, int *n, z *a, int *lda, d *work) noexcept nogil +cdef d zlanht(char *norm, int *n, d *d_, z *e) noexcept nogil +cdef d zlansb(char *norm, char *uplo, int *n, int *k, z *ab, int *ldab, d *work) noexcept nogil +cdef d zlansp(char *norm, char *uplo, int *n, z *ap, d *work) noexcept nogil +cdef d zlansy(char *norm, char *uplo, int *n, z *a, int *lda, d *work) noexcept nogil +cdef d zlantb(char *norm, char *uplo, char *diag, int *n, int *k, z *ab, int *ldab, d *work) noexcept nogil +cdef d zlantp(char *norm, char *uplo, char *diag, int *n, z *ap, d *work) noexcept nogil +cdef d zlantr(char *norm, char *uplo, char *diag, int *m, int *n, z *a, int *lda, d *work) noexcept nogil +cdef void zlapll(int *n, z *x, int *incx, z *y, int *incy, d *ssmin) noexcept nogil +cdef void zlapmr(bint *forwrd, int *m, int *n, z *x, int *ldx, int *k) noexcept nogil +cdef void zlapmt(bint *forwrd, int *m, int *n, z *x, int *ldx, int *k) noexcept nogil +cdef void zlaqgb(int *m, int *n, int *kl, int *ku, z *ab, int *ldab, d *r, d *c, d *rowcnd, d *colcnd, d *amax, char *equed) noexcept nogil +cdef void zlaqge(int *m, int *n, z *a, int *lda, d *r, d *c, d *rowcnd, d *colcnd, d *amax, char *equed) noexcept nogil +cdef void zlaqhb(char *uplo, int *n, int *kd, z *ab, int *ldab, d *s, d *scond, d *amax, char *equed) noexcept nogil +cdef void zlaqhe(char *uplo, int *n, z *a, int *lda, d *s, d *scond, d *amax, char *equed) noexcept nogil +cdef void zlaqhp(char *uplo, int *n, z *ap, d *s, d *scond, d *amax, char *equed) noexcept nogil +cdef void zlaqp2(int *m, int *n, int *offset, z *a, int *lda, int *jpvt, z *tau, d *vn1, d *vn2, z *work) noexcept nogil +cdef void zlaqps(int *m, int *n, int *offset, int *nb, int *kb, z *a, int *lda, int *jpvt, z *tau, d *vn1, d *vn2, z *auxv, z *f, int *ldf) noexcept nogil +cdef void zlaqr0(bint *wantt, bint *wantz, int *n, int *ilo, int *ihi, z *h, int *ldh, z *w, int *iloz, int *ihiz, z *z, int *ldz, z *work, int *lwork, int *info) noexcept nogil +cdef void zlaqr1(int *n, z *h, int *ldh, z *s1, z *s2, z *v) noexcept nogil +cdef void zlaqr2(bint *wantt, bint *wantz, int *n, int *ktop, int *kbot, int *nw, z *h, int *ldh, int *iloz, int *ihiz, z *z, int *ldz, int *ns, int *nd, z *sh, z *v, int *ldv, int *nh, z *t, int *ldt, int *nv, z *wv, int *ldwv, z *work, int *lwork) noexcept nogil +cdef void zlaqr3(bint *wantt, bint *wantz, int *n, int *ktop, int *kbot, int *nw, z *h, int *ldh, int *iloz, int *ihiz, z *z, int *ldz, int *ns, int *nd, z *sh, z *v, int *ldv, int *nh, z *t, int *ldt, int *nv, z *wv, int *ldwv, z *work, int *lwork) noexcept nogil +cdef void zlaqr4(bint *wantt, bint *wantz, int *n, int *ilo, int *ihi, z *h, int *ldh, z *w, int *iloz, int *ihiz, z *z, int *ldz, z *work, int *lwork, int *info) noexcept nogil +cdef void zlaqr5(bint *wantt, bint *wantz, int *kacc22, int *n, int *ktop, int *kbot, int *nshfts, z *s, z *h, int *ldh, int *iloz, int *ihiz, z *z, int *ldz, z *v, int *ldv, z *u, int *ldu, int *nv, z *wv, int *ldwv, int *nh, z *wh, int *ldwh) noexcept nogil +cdef void zlaqsb(char *uplo, int *n, int *kd, z *ab, int *ldab, d *s, d *scond, d *amax, char *equed) noexcept nogil +cdef void zlaqsp(char *uplo, int *n, z *ap, d *s, d *scond, d *amax, char *equed) noexcept nogil +cdef void zlaqsy(char *uplo, int *n, z *a, int *lda, d *s, d *scond, d *amax, char *equed) noexcept nogil +cdef void zlar1v(int *n, int *b1, int *bn, d *lambda_, d *d, d *l, d *ld, d *lld, d *pivmin, d *gaptol, z *z, bint *wantnc, int *negcnt, d *ztz, d *mingma, int *r, int *isuppz, d *nrminv, d *resid, d *rqcorr, d *work) noexcept nogil +cdef void zlar2v(int *n, z *x, z *y, z *z, int *incx, d *c, z *s, int *incc) noexcept nogil +cdef void zlarcm(int *m, int *n, d *a, int *lda, z *b, int *ldb, z *c, int *ldc, d *rwork) noexcept nogil +cdef void zlarf(char *side, int *m, int *n, z *v, int *incv, z *tau, z *c, int *ldc, z *work) noexcept nogil +cdef void zlarfb(char *side, char *trans, char *direct, char *storev, int *m, int *n, int *k, z *v, int *ldv, z *t, int *ldt, z *c, int *ldc, z *work, int *ldwork) noexcept nogil +cdef void zlarfg(int *n, z *alpha, z *x, int *incx, z *tau) noexcept nogil +cdef void zlarfgp(int *n, z *alpha, z *x, int *incx, z *tau) noexcept nogil +cdef void zlarft(char *direct, char *storev, int *n, int *k, z *v, int *ldv, z *tau, z *t, int *ldt) noexcept nogil +cdef void zlarfx(char *side, int *m, int *n, z *v, z *tau, z *c, int *ldc, z *work) noexcept nogil +cdef void zlargv(int *n, z *x, int *incx, z *y, int *incy, d *c, int *incc) noexcept nogil +cdef void zlarnv(int *idist, int *iseed, int *n, z *x) noexcept nogil +cdef void zlarrv(int *n, d *vl, d *vu, d *d, d *l, d *pivmin, int *isplit, int *m, int *dol, int *dou, d *minrgp, d *rtol1, d *rtol2, d *w, d *werr, d *wgap, int *iblock, int *indexw, d *gers, z *z, int *ldz, int *isuppz, d *work, int *iwork, int *info) noexcept nogil +cdef void zlartg(z *f, z *g, d *cs, z *sn, z *r) noexcept nogil +cdef void zlartv(int *n, z *x, int *incx, z *y, int *incy, d *c, z *s, int *incc) noexcept nogil +cdef void zlarz(char *side, int *m, int *n, int *l, z *v, int *incv, z *tau, z *c, int *ldc, z *work) noexcept nogil +cdef void zlarzb(char *side, char *trans, char *direct, char *storev, int *m, int *n, int *k, int *l, z *v, int *ldv, z *t, int *ldt, z *c, int *ldc, z *work, int *ldwork) noexcept nogil +cdef void zlarzt(char *direct, char *storev, int *n, int *k, z *v, int *ldv, z *tau, z *t, int *ldt) noexcept nogil +cdef void zlascl(char *type_bn, int *kl, int *ku, d *cfrom, d *cto, int *m, int *n, z *a, int *lda, int *info) noexcept nogil +cdef void zlaset(char *uplo, int *m, int *n, z *alpha, z *beta, z *a, int *lda) noexcept nogil +cdef void zlasr(char *side, char *pivot, char *direct, int *m, int *n, d *c, d *s, z *a, int *lda) noexcept nogil +cdef void zlassq(int *n, z *x, int *incx, d *scale, d *sumsq) noexcept nogil +cdef void zlaswp(int *n, z *a, int *lda, int *k1, int *k2, int *ipiv, int *incx) noexcept nogil +cdef void zlasyf(char *uplo, int *n, int *nb, int *kb, z *a, int *lda, int *ipiv, z *w, int *ldw, int *info) noexcept nogil +cdef void zlat2c(char *uplo, int *n, z *a, int *lda, c *sa, int *ldsa, int *info) noexcept nogil +cdef void zlatbs(char *uplo, char *trans, char *diag, char *normin, int *n, int *kd, z *ab, int *ldab, z *x, d *scale, d *cnorm, int *info) noexcept nogil +cdef void zlatdf(int *ijob, int *n, z *z, int *ldz, z *rhs, d *rdsum, d *rdscal, int *ipiv, int *jpiv) noexcept nogil +cdef void zlatps(char *uplo, char *trans, char *diag, char *normin, int *n, z *ap, z *x, d *scale, d *cnorm, int *info) noexcept nogil +cdef void zlatrd(char *uplo, int *n, int *nb, z *a, int *lda, d *e, z *tau, z *w, int *ldw) noexcept nogil +cdef void zlatrs(char *uplo, char *trans, char *diag, char *normin, int *n, z *a, int *lda, z *x, d *scale, d *cnorm, int *info) noexcept nogil +cdef void zlatrz(int *m, int *n, int *l, z *a, int *lda, z *tau, z *work) noexcept nogil +cdef void zlauu2(char *uplo, int *n, z *a, int *lda, int *info) noexcept nogil +cdef void zlauum(char *uplo, int *n, z *a, int *lda, int *info) noexcept nogil +cdef void zpbcon(char *uplo, int *n, int *kd, z *ab, int *ldab, d *anorm, d *rcond, z *work, d *rwork, int *info) noexcept nogil +cdef void zpbequ(char *uplo, int *n, int *kd, z *ab, int *ldab, d *s, d *scond, d *amax, int *info) noexcept nogil +cdef void zpbrfs(char *uplo, int *n, int *kd, int *nrhs, z *ab, int *ldab, z *afb, int *ldafb, z *b, int *ldb, z *x, int *ldx, d *ferr, d *berr, z *work, d *rwork, int *info) noexcept nogil +cdef void zpbstf(char *uplo, int *n, int *kd, z *ab, int *ldab, int *info) noexcept nogil +cdef void zpbsv(char *uplo, int *n, int *kd, int *nrhs, z *ab, int *ldab, z *b, int *ldb, int *info) noexcept nogil +cdef void zpbsvx(char *fact, char *uplo, int *n, int *kd, int *nrhs, z *ab, int *ldab, z *afb, int *ldafb, char *equed, d *s, z *b, int *ldb, z *x, int *ldx, d *rcond, d *ferr, d *berr, z *work, d *rwork, int *info) noexcept nogil +cdef void zpbtf2(char *uplo, int *n, int *kd, z *ab, int *ldab, int *info) noexcept nogil +cdef void zpbtrf(char *uplo, int *n, int *kd, z *ab, int *ldab, int *info) noexcept nogil +cdef void zpbtrs(char *uplo, int *n, int *kd, int *nrhs, z *ab, int *ldab, z *b, int *ldb, int *info) noexcept nogil +cdef void zpftrf(char *transr, char *uplo, int *n, z *a, int *info) noexcept nogil +cdef void zpftri(char *transr, char *uplo, int *n, z *a, int *info) noexcept nogil +cdef void zpftrs(char *transr, char *uplo, int *n, int *nrhs, z *a, z *b, int *ldb, int *info) noexcept nogil +cdef void zpocon(char *uplo, int *n, z *a, int *lda, d *anorm, d *rcond, z *work, d *rwork, int *info) noexcept nogil +cdef void zpoequ(int *n, z *a, int *lda, d *s, d *scond, d *amax, int *info) noexcept nogil +cdef void zpoequb(int *n, z *a, int *lda, d *s, d *scond, d *amax, int *info) noexcept nogil +cdef void zporfs(char *uplo, int *n, int *nrhs, z *a, int *lda, z *af, int *ldaf, z *b, int *ldb, z *x, int *ldx, d *ferr, d *berr, z *work, d *rwork, int *info) noexcept nogil +cdef void zposv(char *uplo, int *n, int *nrhs, z *a, int *lda, z *b, int *ldb, int *info) noexcept nogil +cdef void zposvx(char *fact, char *uplo, int *n, int *nrhs, z *a, int *lda, z *af, int *ldaf, char *equed, d *s, z *b, int *ldb, z *x, int *ldx, d *rcond, d *ferr, d *berr, z *work, d *rwork, int *info) noexcept nogil +cdef void zpotf2(char *uplo, int *n, z *a, int *lda, int *info) noexcept nogil +cdef void zpotrf(char *uplo, int *n, z *a, int *lda, int *info) noexcept nogil +cdef void zpotri(char *uplo, int *n, z *a, int *lda, int *info) noexcept nogil +cdef void zpotrs(char *uplo, int *n, int *nrhs, z *a, int *lda, z *b, int *ldb, int *info) noexcept nogil +cdef void zppcon(char *uplo, int *n, z *ap, d *anorm, d *rcond, z *work, d *rwork, int *info) noexcept nogil +cdef void zppequ(char *uplo, int *n, z *ap, d *s, d *scond, d *amax, int *info) noexcept nogil +cdef void zpprfs(char *uplo, int *n, int *nrhs, z *ap, z *afp, z *b, int *ldb, z *x, int *ldx, d *ferr, d *berr, z *work, d *rwork, int *info) noexcept nogil +cdef void zppsv(char *uplo, int *n, int *nrhs, z *ap, z *b, int *ldb, int *info) noexcept nogil +cdef void zppsvx(char *fact, char *uplo, int *n, int *nrhs, z *ap, z *afp, char *equed, d *s, z *b, int *ldb, z *x, int *ldx, d *rcond, d *ferr, d *berr, z *work, d *rwork, int *info) noexcept nogil +cdef void zpptrf(char *uplo, int *n, z *ap, int *info) noexcept nogil +cdef void zpptri(char *uplo, int *n, z *ap, int *info) noexcept nogil +cdef void zpptrs(char *uplo, int *n, int *nrhs, z *ap, z *b, int *ldb, int *info) noexcept nogil +cdef void zpstf2(char *uplo, int *n, z *a, int *lda, int *piv, int *rank, d *tol, d *work, int *info) noexcept nogil +cdef void zpstrf(char *uplo, int *n, z *a, int *lda, int *piv, int *rank, d *tol, d *work, int *info) noexcept nogil +cdef void zptcon(int *n, d *d, z *e, d *anorm, d *rcond, d *rwork, int *info) noexcept nogil +cdef void zpteqr(char *compz, int *n, d *d, d *e, z *z, int *ldz, d *work, int *info) noexcept nogil +cdef void zptrfs(char *uplo, int *n, int *nrhs, d *d, z *e, d *df, z *ef, z *b, int *ldb, z *x, int *ldx, d *ferr, d *berr, z *work, d *rwork, int *info) noexcept nogil +cdef void zptsv(int *n, int *nrhs, d *d, z *e, z *b, int *ldb, int *info) noexcept nogil +cdef void zptsvx(char *fact, int *n, int *nrhs, d *d, z *e, d *df, z *ef, z *b, int *ldb, z *x, int *ldx, d *rcond, d *ferr, d *berr, z *work, d *rwork, int *info) noexcept nogil +cdef void zpttrf(int *n, d *d, z *e, int *info) noexcept nogil +cdef void zpttrs(char *uplo, int *n, int *nrhs, d *d, z *e, z *b, int *ldb, int *info) noexcept nogil +cdef void zptts2(int *iuplo, int *n, int *nrhs, d *d, z *e, z *b, int *ldb) noexcept nogil +cdef void zrot(int *n, z *cx, int *incx, z *cy, int *incy, d *c, z *s) noexcept nogil +cdef void zspcon(char *uplo, int *n, z *ap, int *ipiv, d *anorm, d *rcond, z *work, int *info) noexcept nogil +cdef void zspmv(char *uplo, int *n, z *alpha, z *ap, z *x, int *incx, z *beta, z *y, int *incy) noexcept nogil +cdef void zspr(char *uplo, int *n, z *alpha, z *x, int *incx, z *ap) noexcept nogil +cdef void zsprfs(char *uplo, int *n, int *nrhs, z *ap, z *afp, int *ipiv, z *b, int *ldb, z *x, int *ldx, d *ferr, d *berr, z *work, d *rwork, int *info) noexcept nogil +cdef void zspsv(char *uplo, int *n, int *nrhs, z *ap, int *ipiv, z *b, int *ldb, int *info) noexcept nogil +cdef void zspsvx(char *fact, char *uplo, int *n, int *nrhs, z *ap, z *afp, int *ipiv, z *b, int *ldb, z *x, int *ldx, d *rcond, d *ferr, d *berr, z *work, d *rwork, int *info) noexcept nogil +cdef void zsptrf(char *uplo, int *n, z *ap, int *ipiv, int *info) noexcept nogil +cdef void zsptri(char *uplo, int *n, z *ap, int *ipiv, z *work, int *info) noexcept nogil +cdef void zsptrs(char *uplo, int *n, int *nrhs, z *ap, int *ipiv, z *b, int *ldb, int *info) noexcept nogil +cdef void zstedc(char *compz, int *n, d *d, d *e, z *z, int *ldz, z *work, int *lwork, d *rwork, int *lrwork, int *iwork, int *liwork, int *info) noexcept nogil +cdef void zstegr(char *jobz, char *range, int *n, d *d, d *e, d *vl, d *vu, int *il, int *iu, d *abstol, int *m, d *w, z *z, int *ldz, int *isuppz, d *work, int *lwork, int *iwork, int *liwork, int *info) noexcept nogil +cdef void zstein(int *n, d *d, d *e, int *m, d *w, int *iblock, int *isplit, z *z, int *ldz, d *work, int *iwork, int *ifail, int *info) noexcept nogil +cdef void zstemr(char *jobz, char *range, int *n, d *d, d *e, d *vl, d *vu, int *il, int *iu, int *m, d *w, z *z, int *ldz, int *nzc, int *isuppz, bint *tryrac, d *work, int *lwork, int *iwork, int *liwork, int *info) noexcept nogil +cdef void zsteqr(char *compz, int *n, d *d, d *e, z *z, int *ldz, d *work, int *info) noexcept nogil +cdef void zsycon(char *uplo, int *n, z *a, int *lda, int *ipiv, d *anorm, d *rcond, z *work, int *info) noexcept nogil +cdef void zsyconv(char *uplo, char *way, int *n, z *a, int *lda, int *ipiv, z *work, int *info) noexcept nogil +cdef void zsyequb(char *uplo, int *n, z *a, int *lda, d *s, d *scond, d *amax, z *work, int *info) noexcept nogil +cdef void zsymv(char *uplo, int *n, z *alpha, z *a, int *lda, z *x, int *incx, z *beta, z *y, int *incy) noexcept nogil +cdef void zsyr(char *uplo, int *n, z *alpha, z *x, int *incx, z *a, int *lda) noexcept nogil +cdef void zsyrfs(char *uplo, int *n, int *nrhs, z *a, int *lda, z *af, int *ldaf, int *ipiv, z *b, int *ldb, z *x, int *ldx, d *ferr, d *berr, z *work, d *rwork, int *info) noexcept nogil +cdef void zsysv(char *uplo, int *n, int *nrhs, z *a, int *lda, int *ipiv, z *b, int *ldb, z *work, int *lwork, int *info) noexcept nogil +cdef void zsysvx(char *fact, char *uplo, int *n, int *nrhs, z *a, int *lda, z *af, int *ldaf, int *ipiv, z *b, int *ldb, z *x, int *ldx, d *rcond, d *ferr, d *berr, z *work, int *lwork, d *rwork, int *info) noexcept nogil +cdef void zsyswapr(char *uplo, int *n, z *a, int *lda, int *i1, int *i2) noexcept nogil +cdef void zsytf2(char *uplo, int *n, z *a, int *lda, int *ipiv, int *info) noexcept nogil +cdef void zsytrf(char *uplo, int *n, z *a, int *lda, int *ipiv, z *work, int *lwork, int *info) noexcept nogil +cdef void zsytri(char *uplo, int *n, z *a, int *lda, int *ipiv, z *work, int *info) noexcept nogil +cdef void zsytri2(char *uplo, int *n, z *a, int *lda, int *ipiv, z *work, int *lwork, int *info) noexcept nogil +cdef void zsytri2x(char *uplo, int *n, z *a, int *lda, int *ipiv, z *work, int *nb, int *info) noexcept nogil +cdef void zsytrs(char *uplo, int *n, int *nrhs, z *a, int *lda, int *ipiv, z *b, int *ldb, int *info) noexcept nogil +cdef void zsytrs2(char *uplo, int *n, int *nrhs, z *a, int *lda, int *ipiv, z *b, int *ldb, z *work, int *info) noexcept nogil +cdef void ztbcon(char *norm, char *uplo, char *diag, int *n, int *kd, z *ab, int *ldab, d *rcond, z *work, d *rwork, int *info) noexcept nogil +cdef void ztbrfs(char *uplo, char *trans, char *diag, int *n, int *kd, int *nrhs, z *ab, int *ldab, z *b, int *ldb, z *x, int *ldx, d *ferr, d *berr, z *work, d *rwork, int *info) noexcept nogil +cdef void ztbtrs(char *uplo, char *trans, char *diag, int *n, int *kd, int *nrhs, z *ab, int *ldab, z *b, int *ldb, int *info) noexcept nogil +cdef void ztfsm(char *transr, char *side, char *uplo, char *trans, char *diag, int *m, int *n, z *alpha, z *a, z *b, int *ldb) noexcept nogil +cdef void ztftri(char *transr, char *uplo, char *diag, int *n, z *a, int *info) noexcept nogil +cdef void ztfttp(char *transr, char *uplo, int *n, z *arf, z *ap, int *info) noexcept nogil +cdef void ztfttr(char *transr, char *uplo, int *n, z *arf, z *a, int *lda, int *info) noexcept nogil +cdef void ztgevc(char *side, char *howmny, bint *select, int *n, z *s, int *lds, z *p, int *ldp, z *vl, int *ldvl, z *vr, int *ldvr, int *mm, int *m, z *work, d *rwork, int *info) noexcept nogil +cdef void ztgex2(bint *wantq, bint *wantz, int *n, z *a, int *lda, z *b, int *ldb, z *q, int *ldq, z *z, int *ldz, int *j1, int *info) noexcept nogil +cdef void ztgexc(bint *wantq, bint *wantz, int *n, z *a, int *lda, z *b, int *ldb, z *q, int *ldq, z *z, int *ldz, int *ifst, int *ilst, int *info) noexcept nogil +cdef void ztgsen(int *ijob, bint *wantq, bint *wantz, bint *select, int *n, z *a, int *lda, z *b, int *ldb, z *alpha, z *beta, z *q, int *ldq, z *z, int *ldz, int *m, d *pl, d *pr, d *dif, z *work, int *lwork, int *iwork, int *liwork, int *info) noexcept nogil +cdef void ztgsja(char *jobu, char *jobv, char *jobq, int *m, int *p, int *n, int *k, int *l, z *a, int *lda, z *b, int *ldb, d *tola, d *tolb, d *alpha, d *beta, z *u, int *ldu, z *v, int *ldv, z *q, int *ldq, z *work, int *ncycle, int *info) noexcept nogil +cdef void ztgsna(char *job, char *howmny, bint *select, int *n, z *a, int *lda, z *b, int *ldb, z *vl, int *ldvl, z *vr, int *ldvr, d *s, d *dif, int *mm, int *m, z *work, int *lwork, int *iwork, int *info) noexcept nogil +cdef void ztgsy2(char *trans, int *ijob, int *m, int *n, z *a, int *lda, z *b, int *ldb, z *c, int *ldc, z *d, int *ldd, z *e, int *lde, z *f, int *ldf, d *scale, d *rdsum, d *rdscal, int *info) noexcept nogil +cdef void ztgsyl(char *trans, int *ijob, int *m, int *n, z *a, int *lda, z *b, int *ldb, z *c, int *ldc, z *d, int *ldd, z *e, int *lde, z *f, int *ldf, d *scale, d *dif, z *work, int *lwork, int *iwork, int *info) noexcept nogil +cdef void ztpcon(char *norm, char *uplo, char *diag, int *n, z *ap, d *rcond, z *work, d *rwork, int *info) noexcept nogil +cdef void ztpmqrt(char *side, char *trans, int *m, int *n, int *k, int *l, int *nb, z *v, int *ldv, z *t, int *ldt, z *a, int *lda, z *b, int *ldb, z *work, int *info) noexcept nogil +cdef void ztpqrt(int *m, int *n, int *l, int *nb, z *a, int *lda, z *b, int *ldb, z *t, int *ldt, z *work, int *info) noexcept nogil +cdef void ztpqrt2(int *m, int *n, int *l, z *a, int *lda, z *b, int *ldb, z *t, int *ldt, int *info) noexcept nogil +cdef void ztprfb(char *side, char *trans, char *direct, char *storev, int *m, int *n, int *k, int *l, z *v, int *ldv, z *t, int *ldt, z *a, int *lda, z *b, int *ldb, z *work, int *ldwork) noexcept nogil +cdef void ztprfs(char *uplo, char *trans, char *diag, int *n, int *nrhs, z *ap, z *b, int *ldb, z *x, int *ldx, d *ferr, d *berr, z *work, d *rwork, int *info) noexcept nogil +cdef void ztptri(char *uplo, char *diag, int *n, z *ap, int *info) noexcept nogil +cdef void ztptrs(char *uplo, char *trans, char *diag, int *n, int *nrhs, z *ap, z *b, int *ldb, int *info) noexcept nogil +cdef void ztpttf(char *transr, char *uplo, int *n, z *ap, z *arf, int *info) noexcept nogil +cdef void ztpttr(char *uplo, int *n, z *ap, z *a, int *lda, int *info) noexcept nogil +cdef void ztrcon(char *norm, char *uplo, char *diag, int *n, z *a, int *lda, d *rcond, z *work, d *rwork, int *info) noexcept nogil +cdef void ztrevc(char *side, char *howmny, bint *select, int *n, z *t, int *ldt, z *vl, int *ldvl, z *vr, int *ldvr, int *mm, int *m, z *work, d *rwork, int *info) noexcept nogil +cdef void ztrexc(char *compq, int *n, z *t, int *ldt, z *q, int *ldq, int *ifst, int *ilst, int *info) noexcept nogil +cdef void ztrrfs(char *uplo, char *trans, char *diag, int *n, int *nrhs, z *a, int *lda, z *b, int *ldb, z *x, int *ldx, d *ferr, d *berr, z *work, d *rwork, int *info) noexcept nogil +cdef void ztrsen(char *job, char *compq, bint *select, int *n, z *t, int *ldt, z *q, int *ldq, z *w, int *m, d *s, d *sep, z *work, int *lwork, int *info) noexcept nogil +cdef void ztrsna(char *job, char *howmny, bint *select, int *n, z *t, int *ldt, z *vl, int *ldvl, z *vr, int *ldvr, d *s, d *sep, int *mm, int *m, z *work, int *ldwork, d *rwork, int *info) noexcept nogil +cdef void ztrsyl(char *trana, char *tranb, int *isgn, int *m, int *n, z *a, int *lda, z *b, int *ldb, z *c, int *ldc, d *scale, int *info) noexcept nogil +cdef void ztrti2(char *uplo, char *diag, int *n, z *a, int *lda, int *info) noexcept nogil +cdef void ztrtri(char *uplo, char *diag, int *n, z *a, int *lda, int *info) noexcept nogil +cdef void ztrtrs(char *uplo, char *trans, char *diag, int *n, int *nrhs, z *a, int *lda, z *b, int *ldb, int *info) noexcept nogil +cdef void ztrttf(char *transr, char *uplo, int *n, z *a, int *lda, z *arf, int *info) noexcept nogil +cdef void ztrttp(char *uplo, int *n, z *a, int *lda, z *ap, int *info) noexcept nogil +cdef void ztzrzf(int *m, int *n, z *a, int *lda, z *tau, z *work, int *lwork, int *info) noexcept nogil +cdef void zunbdb(char *trans, char *signs, int *m, int *p, int *q, z *x11, int *ldx11, z *x12, int *ldx12, z *x21, int *ldx21, z *x22, int *ldx22, d *theta, d *phi, z *taup1, z *taup2, z *tauq1, z *tauq2, z *work, int *lwork, int *info) noexcept nogil +cdef void zuncsd(char *jobu1, char *jobu2, char *jobv1t, char *jobv2t, char *trans, char *signs, int *m, int *p, int *q, z *x11, int *ldx11, z *x12, int *ldx12, z *x21, int *ldx21, z *x22, int *ldx22, d *theta, z *u1, int *ldu1, z *u2, int *ldu2, z *v1t, int *ldv1t, z *v2t, int *ldv2t, z *work, int *lwork, d *rwork, int *lrwork, int *iwork, int *info) noexcept nogil +cdef void zung2l(int *m, int *n, int *k, z *a, int *lda, z *tau, z *work, int *info) noexcept nogil +cdef void zung2r(int *m, int *n, int *k, z *a, int *lda, z *tau, z *work, int *info) noexcept nogil +cdef void zungbr(char *vect, int *m, int *n, int *k, z *a, int *lda, z *tau, z *work, int *lwork, int *info) noexcept nogil +cdef void zunghr(int *n, int *ilo, int *ihi, z *a, int *lda, z *tau, z *work, int *lwork, int *info) noexcept nogil +cdef void zungl2(int *m, int *n, int *k, z *a, int *lda, z *tau, z *work, int *info) noexcept nogil +cdef void zunglq(int *m, int *n, int *k, z *a, int *lda, z *tau, z *work, int *lwork, int *info) noexcept nogil +cdef void zungql(int *m, int *n, int *k, z *a, int *lda, z *tau, z *work, int *lwork, int *info) noexcept nogil +cdef void zungqr(int *m, int *n, int *k, z *a, int *lda, z *tau, z *work, int *lwork, int *info) noexcept nogil +cdef void zungr2(int *m, int *n, int *k, z *a, int *lda, z *tau, z *work, int *info) noexcept nogil +cdef void zungrq(int *m, int *n, int *k, z *a, int *lda, z *tau, z *work, int *lwork, int *info) noexcept nogil +cdef void zungtr(char *uplo, int *n, z *a, int *lda, z *tau, z *work, int *lwork, int *info) noexcept nogil +cdef void zunm2l(char *side, char *trans, int *m, int *n, int *k, z *a, int *lda, z *tau, z *c, int *ldc, z *work, int *info) noexcept nogil +cdef void zunm2r(char *side, char *trans, int *m, int *n, int *k, z *a, int *lda, z *tau, z *c, int *ldc, z *work, int *info) noexcept nogil +cdef void zunmbr(char *vect, char *side, char *trans, int *m, int *n, int *k, z *a, int *lda, z *tau, z *c, int *ldc, z *work, int *lwork, int *info) noexcept nogil +cdef void zunmhr(char *side, char *trans, int *m, int *n, int *ilo, int *ihi, z *a, int *lda, z *tau, z *c, int *ldc, z *work, int *lwork, int *info) noexcept nogil +cdef void zunml2(char *side, char *trans, int *m, int *n, int *k, z *a, int *lda, z *tau, z *c, int *ldc, z *work, int *info) noexcept nogil +cdef void zunmlq(char *side, char *trans, int *m, int *n, int *k, z *a, int *lda, z *tau, z *c, int *ldc, z *work, int *lwork, int *info) noexcept nogil +cdef void zunmql(char *side, char *trans, int *m, int *n, int *k, z *a, int *lda, z *tau, z *c, int *ldc, z *work, int *lwork, int *info) noexcept nogil +cdef void zunmqr(char *side, char *trans, int *m, int *n, int *k, z *a, int *lda, z *tau, z *c, int *ldc, z *work, int *lwork, int *info) noexcept nogil +cdef void zunmr2(char *side, char *trans, int *m, int *n, int *k, z *a, int *lda, z *tau, z *c, int *ldc, z *work, int *info) noexcept nogil +cdef void zunmr3(char *side, char *trans, int *m, int *n, int *k, int *l, z *a, int *lda, z *tau, z *c, int *ldc, z *work, int *info) noexcept nogil +cdef void zunmrq(char *side, char *trans, int *m, int *n, int *k, z *a, int *lda, z *tau, z *c, int *ldc, z *work, int *lwork, int *info) noexcept nogil +cdef void zunmrz(char *side, char *trans, int *m, int *n, int *k, int *l, z *a, int *lda, z *tau, z *c, int *ldc, z *work, int *lwork, int *info) noexcept nogil +cdef void zunmtr(char *side, char *uplo, char *trans, int *m, int *n, z *a, int *lda, z *tau, z *c, int *ldc, z *work, int *lwork, int *info) noexcept nogil +cdef void zupgtr(char *uplo, int *n, z *ap, z *tau, z *q, int *ldq, z *work, int *info) noexcept nogil +cdef void zupmtr(char *side, char *uplo, char *trans, int *m, int *n, z *ap, z *tau, z *c, int *ldc, z *work, int *info) noexcept nogil