/* Subroutine */ int serrpo_(char *path, integer *nunit)
{
/* Builtin functions */
integer s_wsle(cilist *), e_wsle(void);
/* Subroutine */ int s_copy(char *, char *, ftnlen, ftnlen);
/* Local variables */
static integer info;
static real anrm, a[16] /* was [4][4] */, b[4];
static integer i__, j;
static real w[12], x[4], rcond;
static char c2[2];
static real r1[4], r2[4];
extern /* Subroutine */ int spbtf2_(char *, integer *, integer *, real *,
integer *, integer *);
static real af[16] /* was [4][4] */;
extern /* Subroutine */ int spotf2_(char *, integer *, real *, integer *,
integer *);
static integer iw[4];
extern /* Subroutine */ int alaesm_(char *, logical *, integer *);
extern logical lsamen_(integer *, char *, char *);
extern /* Subroutine */ int chkxer_(char *, integer *, integer *, logical
*, logical *), spbcon_(char *, integer *, integer *, real
*, integer *, real *, real *, real *, integer *, integer *), spbequ_(char *, integer *, integer *, real *, integer *,
real *, real *, real *, integer *), spbrfs_(char *,
integer *, integer *, integer *, real *, integer *, real *,
integer *, real *, integer *, real *, integer *, real *, real *,
real *, integer *, integer *), spbtrf_(char *, integer *,
integer *, real *, integer *, integer *), spocon_(char *,
integer *, real *, integer *, real *, real *, real *, integer *,
integer *), sppcon_(char *, integer *, real *, real *,
real *, real *, integer *, integer *), spoequ_(integer *,
real *, integer *, real *, real *, real *, integer *), spbtrs_(
char *, integer *, integer *, integer *, real *, integer *, real *
, integer *, integer *), sporfs_(char *, integer *,
integer *, real *, integer *, real *, integer *, real *, integer *
, real *, integer *, real *, real *, real *, integer *, integer *), spotrf_(char *, integer *, real *, integer *, integer *), spotri_(char *, integer *, real *, integer *, integer *), sppequ_(char *, integer *, real *, real *, real *, real
*, integer *), spprfs_(char *, integer *, integer *, real
*, real *, real *, integer *, real *, integer *, real *, real *,
real *, integer *, integer *), spptrf_(char *, integer *,
real *, integer *), spptri_(char *, integer *, real *,
integer *), spotrs_(char *, integer *, integer *, real *,
integer *, real *, integer *, integer *), spptrs_(char *,
integer *, integer *, real *, real *, integer *, integer *);
/* Fortran I/O blocks */
static cilist io___1 = { 0, 0, 0, 0, 0 };
#define a_ref(a_1,a_2) a[(a_2)*4 + a_1 - 5]
#define af_ref(a_1,a_2) af[(a_2)*4 + a_1 - 5]
/* -- LAPACK test routine (version 3.0) --
Univ. of Tennessee, Univ. of California Berkeley, NAG Ltd.,
Courant Institute, Argonne National Lab, and Rice University
February 29, 1992
Purpose
=======
SERRPO tests the error exits for the REAL routines
for symmetric positive definite matrices.
Arguments
=========
PATH (input) CHARACTER*3
The LAPACK path name for the routines to be tested.
NUNIT (input) INTEGER
The unit number for output.
===================================================================== */
infoc_1.nout = *nunit;
io___1.ciunit = infoc_1.nout;
s_wsle(&io___1);
e_wsle();
s_copy(c2, path + 1, (ftnlen)2, (ftnlen)2);
/* Set the variables to innocuous values. */
for (j = 1; j <= 4; ++j) {
for (i__ = 1; i__ <= 4; ++i__) {
a_ref(i__, j) = 1.f / (real) (i__ + j);
af_ref(i__, j) = 1.f / (real) (i__ + j);
/* L10: */
}
b[j - 1] = 0.f;
r1[j - 1] = 0.f;
r2[j - 1] = 0.f;
w[j - 1] = 0.f;
x[j - 1] = 0.f;
iw[j - 1] = j;
/* L20: */
}
infoc_1.ok = TRUE_;
if (lsamen_(&c__2, c2, "PO")) {
/* Test error exits of the routines that use the Cholesky
decomposition of a symmetric positive definite matrix.
SPOTRF */
s_copy(srnamc_1.srnamt, "SPOTRF", (ftnlen)6, (ftnlen)6);
infoc_1.infot = 1;
spotrf_("/", &c__0, a, &c__1, &info);
chkxer_("SPOTRF", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
spotrf_("U", &c_n1, a, &c__1, &info);
chkxer_("SPOTRF", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 4;
spotrf_("U", &c__2, a, &c__1, &info);
chkxer_("SPOTRF", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
/* SPOTF2 */
s_copy(srnamc_1.srnamt, "SPOTF2", (ftnlen)6, (ftnlen)6);
infoc_1.infot = 1;
spotf2_("/", &c__0, a, &c__1, &info);
chkxer_("SPOTF2", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
spotf2_("U", &c_n1, a, &c__1, &info);
chkxer_("SPOTF2", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 4;
spotf2_("U", &c__2, a, &c__1, &info);
chkxer_("SPOTF2", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
/* SPOTRI */
s_copy(srnamc_1.srnamt, "SPOTRI", (ftnlen)6, (ftnlen)6);
infoc_1.infot = 1;
spotri_("/", &c__0, a, &c__1, &info);
chkxer_("SPOTRI", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
spotri_("U", &c_n1, a, &c__1, &info);
chkxer_("SPOTRI", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 4;
spotri_("U", &c__2, a, &c__1, &info);
chkxer_("SPOTRI", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
/* SPOTRS */
s_copy(srnamc_1.srnamt, "SPOTRS", (ftnlen)6, (ftnlen)6);
infoc_1.infot = 1;
spotrs_("/", &c__0, &c__0, a, &c__1, b, &c__1, &info);
chkxer_("SPOTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
spotrs_("U", &c_n1, &c__0, a, &c__1, b, &c__1, &info);
chkxer_("SPOTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 3;
spotrs_("U", &c__0, &c_n1, a, &c__1, b, &c__1, &info);
chkxer_("SPOTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 5;
spotrs_("U", &c__2, &c__1, a, &c__1, b, &c__2, &info);
chkxer_("SPOTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 7;
spotrs_("U", &c__2, &c__1, a, &c__2, b, &c__1, &info);
chkxer_("SPOTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
/* SPORFS */
s_copy(srnamc_1.srnamt, "SPORFS", (ftnlen)6, (ftnlen)6);
infoc_1.infot = 1;
sporfs_("/", &c__0, &c__0, a, &c__1, af, &c__1, b, &c__1, x, &c__1,
r1, r2, w, iw, &info);
chkxer_("SPORFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
sporfs_("U", &c_n1, &c__0, a, &c__1, af, &c__1, b, &c__1, x, &c__1,
r1, r2, w, iw, &info);
chkxer_("SPORFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 3;
sporfs_("U", &c__0, &c_n1, a, &c__1, af, &c__1, b, &c__1, x, &c__1,
r1, r2, w, iw, &info);
chkxer_("SPORFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 5;
sporfs_("U", &c__2, &c__1, a, &c__1, af, &c__2, b, &c__2, x, &c__2,
r1, r2, w, iw, &info);
chkxer_("SPORFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 7;
sporfs_("U", &c__2, &c__1, a, &c__2, af, &c__1, b, &c__2, x, &c__2,
r1, r2, w, iw, &info);
chkxer_("SPORFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 9;
sporfs_("U", &c__2, &c__1, a, &c__2, af, &c__2, b, &c__1, x, &c__2,
r1, r2, w, iw, &info);
chkxer_("SPORFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 11;
sporfs_("U", &c__2, &c__1, a, &c__2, af, &c__2, b, &c__2, x, &c__1,
r1, r2, w, iw, &info);
chkxer_("SPORFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
/* SPOCON */
s_copy(srnamc_1.srnamt, "SPOCON", (ftnlen)6, (ftnlen)6);
infoc_1.infot = 1;
spocon_("/", &c__0, a, &c__1, &anrm, &rcond, w, iw, &info);
chkxer_("SPOCON", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
spocon_("U", &c_n1, a, &c__1, &anrm, &rcond, w, iw, &info);
chkxer_("SPOCON", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 4;
spocon_("U", &c__2, a, &c__1, &anrm, &rcond, w, iw, &info);
chkxer_("SPOCON", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
/* SPOEQU */
s_copy(srnamc_1.srnamt, "SPOEQU", (ftnlen)6, (ftnlen)6);
infoc_1.infot = 1;
spoequ_(&c_n1, a, &c__1, r1, &rcond, &anrm, &info);
chkxer_("SPOEQU", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 3;
spoequ_(&c__2, a, &c__1, r1, &rcond, &anrm, &info);
chkxer_("SPOEQU", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
} else if (lsamen_(&c__2, c2, "PP")) {
/* Test error exits of the routines that use the Cholesky
decomposition of a symmetric positive definite packed matrix.
SPPTRF */
s_copy(srnamc_1.srnamt, "SPPTRF", (ftnlen)6, (ftnlen)6);
infoc_1.infot = 1;
spptrf_("/", &c__0, a, &info);
chkxer_("SPPTRF", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
spptrf_("U", &c_n1, a, &info);
chkxer_("SPPTRF", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
/* SPPTRI */
s_copy(srnamc_1.srnamt, "SPPTRI", (ftnlen)6, (ftnlen)6);
infoc_1.infot = 1;
spptri_("/", &c__0, a, &info);
chkxer_("SPPTRI", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
spptri_("U", &c_n1, a, &info);
chkxer_("SPPTRI", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
/* SPPTRS */
s_copy(srnamc_1.srnamt, "SPPTRS", (ftnlen)6, (ftnlen)6);
infoc_1.infot = 1;
spptrs_("/", &c__0, &c__0, a, b, &c__1, &info);
chkxer_("SPPTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
spptrs_("U", &c_n1, &c__0, a, b, &c__1, &info);
chkxer_("SPPTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 3;
spptrs_("U", &c__0, &c_n1, a, b, &c__1, &info);
chkxer_("SPPTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 6;
spptrs_("U", &c__2, &c__1, a, b, &c__1, &info);
chkxer_("SPPTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
/* SPPRFS */
s_copy(srnamc_1.srnamt, "SPPRFS", (ftnlen)6, (ftnlen)6);
infoc_1.infot = 1;
spprfs_("/", &c__0, &c__0, a, af, b, &c__1, x, &c__1, r1, r2, w, iw, &
info);
chkxer_("SPPRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
spprfs_("U", &c_n1, &c__0, a, af, b, &c__1, x, &c__1, r1, r2, w, iw, &
info);
chkxer_("SPPRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 3;
spprfs_("U", &c__0, &c_n1, a, af, b, &c__1, x, &c__1, r1, r2, w, iw, &
info);
chkxer_("SPPRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 7;
spprfs_("U", &c__2, &c__1, a, af, b, &c__1, x, &c__2, r1, r2, w, iw, &
info);
chkxer_("SPPRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 9;
spprfs_("U", &c__2, &c__1, a, af, b, &c__2, x, &c__1, r1, r2, w, iw, &
info);
chkxer_("SPPRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
/* SPPCON */
s_copy(srnamc_1.srnamt, "SPPCON", (ftnlen)6, (ftnlen)6);
infoc_1.infot = 1;
sppcon_("/", &c__0, a, &anrm, &rcond, w, iw, &info);
chkxer_("SPPCON", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
sppcon_("U", &c_n1, a, &anrm, &rcond, w, iw, &info);
chkxer_("SPPCON", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
/* SPPEQU */
s_copy(srnamc_1.srnamt, "SPPEQU", (ftnlen)6, (ftnlen)6);
infoc_1.infot = 1;
sppequ_("/", &c__0, a, r1, &rcond, &anrm, &info);
chkxer_("SPPEQU", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
sppequ_("U", &c_n1, a, r1, &rcond, &anrm, &info);
chkxer_("SPPEQU", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
} else if (lsamen_(&c__2, c2, "PB")) {
/* Test error exits of the routines that use the Cholesky
decomposition of a symmetric positive definite band matrix.
SPBTRF */
s_copy(srnamc_1.srnamt, "SPBTRF", (ftnlen)6, (ftnlen)6);
infoc_1.infot = 1;
spbtrf_("/", &c__0, &c__0, a, &c__1, &info);
chkxer_("SPBTRF", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
spbtrf_("U", &c_n1, &c__0, a, &c__1, &info);
chkxer_("SPBTRF", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 3;
spbtrf_("U", &c__1, &c_n1, a, &c__1, &info);
chkxer_("SPBTRF", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 5;
spbtrf_("U", &c__2, &c__1, a, &c__1, &info);
chkxer_("SPBTRF", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
/* SPBTF2 */
s_copy(srnamc_1.srnamt, "SPBTF2", (ftnlen)6, (ftnlen)6);
infoc_1.infot = 1;
spbtf2_("/", &c__0, &c__0, a, &c__1, &info);
chkxer_("SPBTF2", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
spbtf2_("U", &c_n1, &c__0, a, &c__1, &info);
chkxer_("SPBTF2", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 3;
spbtf2_("U", &c__1, &c_n1, a, &c__1, &info);
chkxer_("SPBTF2", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 5;
spbtf2_("U", &c__2, &c__1, a, &c__1, &info);
chkxer_("SPBTF2", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
/* SPBTRS */
s_copy(srnamc_1.srnamt, "SPBTRS", (ftnlen)6, (ftnlen)6);
infoc_1.infot = 1;
spbtrs_("/", &c__0, &c__0, &c__0, a, &c__1, b, &c__1, &info);
chkxer_("SPBTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
spbtrs_("U", &c_n1, &c__0, &c__0, a, &c__1, b, &c__1, &info);
chkxer_("SPBTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 3;
spbtrs_("U", &c__1, &c_n1, &c__0, a, &c__1, b, &c__1, &info);
chkxer_("SPBTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 4;
spbtrs_("U", &c__0, &c__0, &c_n1, a, &c__1, b, &c__1, &info);
chkxer_("SPBTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 6;
spbtrs_("U", &c__2, &c__1, &c__1, a, &c__1, b, &c__1, &info);
chkxer_("SPBTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 8;
spbtrs_("U", &c__2, &c__0, &c__1, a, &c__1, b, &c__1, &info);
chkxer_("SPBTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
/* SPBRFS */
s_copy(srnamc_1.srnamt, "SPBRFS", (ftnlen)6, (ftnlen)6);
infoc_1.infot = 1;
spbrfs_("/", &c__0, &c__0, &c__0, a, &c__1, af, &c__1, b, &c__1, x, &
c__1, r1, r2, w, iw, &info);
chkxer_("SPBRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
spbrfs_("U", &c_n1, &c__0, &c__0, a, &c__1, af, &c__1, b, &c__1, x, &
c__1, r1, r2, w, iw, &info);
chkxer_("SPBRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 3;
spbrfs_("U", &c__1, &c_n1, &c__0, a, &c__1, af, &c__1, b, &c__1, x, &
c__1, r1, r2, w, iw, &info);
chkxer_("SPBRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 4;
spbrfs_("U", &c__0, &c__0, &c_n1, a, &c__1, af, &c__1, b, &c__1, x, &
c__1, r1, r2, w, iw, &info);
chkxer_("SPBRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 6;
spbrfs_("U", &c__2, &c__1, &c__1, a, &c__1, af, &c__2, b, &c__2, x, &
c__2, r1, r2, w, iw, &info);
chkxer_("SPBRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 8;
spbrfs_("U", &c__2, &c__1, &c__1, a, &c__2, af, &c__1, b, &c__2, x, &
c__2, r1, r2, w, iw, &info);
chkxer_("SPBRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 10;
spbrfs_("U", &c__2, &c__0, &c__1, a, &c__1, af, &c__1, b, &c__1, x, &
c__2, r1, r2, w, iw, &info);
chkxer_("SPBRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 12;
spbrfs_("U", &c__2, &c__0, &c__1, a, &c__1, af, &c__1, b, &c__2, x, &
c__1, r1, r2, w, iw, &info);
chkxer_("SPBRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
/* SPBCON */
s_copy(srnamc_1.srnamt, "SPBCON", (ftnlen)6, (ftnlen)6);
infoc_1.infot = 1;
spbcon_("/", &c__0, &c__0, a, &c__1, &anrm, &rcond, w, iw, &info);
chkxer_("SPBCON", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
spbcon_("U", &c_n1, &c__0, a, &c__1, &anrm, &rcond, w, iw, &info);
chkxer_("SPBCON", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 3;
spbcon_("U", &c__1, &c_n1, a, &c__1, &anrm, &rcond, w, iw, &info);
chkxer_("SPBCON", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 5;
spbcon_("U", &c__2, &c__1, a, &c__1, &anrm, &rcond, w, iw, &info);
chkxer_("SPBCON", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
/* SPBEQU */
s_copy(srnamc_1.srnamt, "SPBEQU", (ftnlen)6, (ftnlen)6);
infoc_1.infot = 1;
spbequ_("/", &c__0, &c__0, a, &c__1, r1, &rcond, &anrm, &info);
chkxer_("SPBEQU", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
spbequ_("U", &c_n1, &c__0, a, &c__1, r1, &rcond, &anrm, &info);
chkxer_("SPBEQU", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 3;
spbequ_("U", &c__1, &c_n1, a, &c__1, r1, &rcond, &anrm, &info);
chkxer_("SPBEQU", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 5;
spbequ_("U", &c__2, &c__1, a, &c__1, r1, &rcond, &anrm, &info);
chkxer_("SPBEQU", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
}
/* Print a summary line. */
alaesm_(path, &infoc_1.ok, &infoc_1.nout);
return 0;
/* End of SERRPO */
} /* serrpo_ */
/* Subroutine */ int spbtrf_(char *uplo, integer *n, integer *kd, real *ab,
integer *ldab, integer *info)
{
/* -- LAPACK routine (version 3.0) --
Univ. of Tennessee, Univ. of California Berkeley, NAG Ltd.,
Courant Institute, Argonne National Lab, and Rice University
March 31, 1993
Purpose
=======
SPBTRF computes the Cholesky factorization of a real symmetric
positive definite band matrix A.
The factorization has the form
A = U**T * U, if UPLO = 'U', or
A = L * L**T, if UPLO = 'L',
where U is an upper triangular matrix and L is lower triangular.
Arguments
=========
UPLO (input) CHARACTER*1
= 'U': Upper triangle of A is stored;
= 'L': Lower triangle of A is stored.
N (input) INTEGER
The order of the matrix A. N >= 0.
KD (input) INTEGER
The number of superdiagonals of the matrix A if UPLO = 'U',
or the number of subdiagonals if UPLO = 'L'. KD >= 0.
AB (input/output) REAL array, dimension (LDAB,N)
On entry, the upper or lower triangle of the symmetric band
matrix A, stored in the first KD+1 rows of the array. The
j-th column of A is stored in the j-th column of the array AB
as follows:
if UPLO = 'U', AB(kd+1+i-j,j) = A(i,j) for max(1,j-kd)<=i<=j;
if UPLO = 'L', AB(1+i-j,j) = A(i,j) for j<=i<=min(n,j+kd).
On exit, if INFO = 0, the triangular factor U or L from the
Cholesky factorization A = U**T*U or A = L*L**T of the band
matrix A, in the same storage format as A.
LDAB (input) INTEGER
The leading dimension of the array AB. LDAB >= KD+1.
INFO (output) INTEGER
= 0: successful exit
< 0: if INFO = -i, the i-th argument had an illegal value
> 0: if INFO = i, the leading minor of order i is not
positive definite, and the factorization could not be
completed.
Further Details
===============
The band storage scheme is illustrated by the following example, when
N = 6, KD = 2, and UPLO = 'U':
On entry: On exit:
* * a13 a24 a35 a46 * * u13 u24 u35 u46
* a12 a23 a34 a45 a56 * u12 u23 u34 u45 u56
a11 a22 a33 a44 a55 a66 u11 u22 u33 u44 u55 u66
Similarly, if UPLO = 'L' the format of A is as follows:
On entry: On exit:
a11 a22 a33 a44 a55 a66 l11 l22 l33 l44 l55 l66
a21 a32 a43 a54 a65 * l21 l32 l43 l54 l65 *
a31 a42 a53 a64 * * l31 l42 l53 l64 * *
Array elements marked * are not used by the routine.
Contributed by
Peter Mayes and Giuseppe Radicati, IBM ECSEC, Rome, March 23, 1989
=====================================================================
Test the input parameters.
Parameter adjustments */
/* Table of constant values */
static integer c__1 = 1;
static integer c_n1 = -1;
static real c_b18 = 1.f;
static real c_b21 = -1.f;
static integer c__33 = 33;
/* System generated locals */
integer ab_dim1, ab_offset, i__1, i__2, i__3, i__4;
/* Local variables */
static real work[1056] /* was [33][32] */;
static integer i__, j;
extern logical lsame_(char *, char *);
extern /* Subroutine */ int sgemm_(char *, char *, integer *, integer *,
integer *, real *, real *, integer *, real *, integer *, real *,
real *, integer *);
static integer i2, i3;
extern /* Subroutine */ int strsm_(char *, char *, char *, char *,
integer *, integer *, real *, real *, integer *, real *, integer *
), ssyrk_(char *, char *, integer
*, integer *, real *, real *, integer *, real *, real *, integer *
), spbtf2_(char *, integer *, integer *, real *,
integer *, integer *);
static integer ib;
extern /* Subroutine */ int spotf2_(char *, integer *, real *, integer *,
integer *);
static integer nb, ii, jj;
extern /* Subroutine */ int xerbla_(char *, integer *);
extern integer ilaenv_(integer *, char *, char *, integer *, integer *,
integer *, integer *, ftnlen, ftnlen);
#define work_ref(a_1,a_2) work[(a_2)*33 + a_1 - 34]
#define ab_ref(a_1,a_2) ab[(a_2)*ab_dim1 + a_1]
ab_dim1 = *ldab;
ab_offset = 1 + ab_dim1 * 1;
ab -= ab_offset;
/* Function Body */
*info = 0;
if (! lsame_(uplo, "U") && ! lsame_(uplo, "L")) {
*info = -1;
} else if (*n < 0) {
*info = -2;
} else if (*kd < 0) {
*info = -3;
} else if (*ldab < *kd + 1) {
*info = -5;
}
if (*info != 0) {
i__1 = -(*info);
xerbla_("SPBTRF", &i__1);
return 0;
}
/* Quick return if possible */
if (*n == 0) {
return 0;
}
/* Determine the block size for this environment */
nb = ilaenv_(&c__1, "SPBTRF", uplo, n, kd, &c_n1, &c_n1, (ftnlen)6, (
ftnlen)1);
/* The block size must not exceed the semi-bandwidth KD, and must not
exceed the limit set by the size of the local array WORK. */
nb = min(nb,32);
if (nb <= 1 || nb > *kd) {
/* Use unblocked code */
spbtf2_(uplo, n, kd, &ab[ab_offset], ldab, info);
} else {
/* Use blocked code */
if (lsame_(uplo, "U")) {
/* Compute the Cholesky factorization of a symmetric band
matrix, given the upper triangle of the matrix in band
storage.
Zero the upper triangle of the work array. */
i__1 = nb;
for (j = 1; j <= i__1; ++j) {
i__2 = j - 1;
for (i__ = 1; i__ <= i__2; ++i__) {
work_ref(i__, j) = 0.f;
/* L10: */
}
/* L20: */
}
/* Process the band matrix one diagonal block at a time. */
i__1 = *n;
i__2 = nb;
for (i__ = 1; i__2 < 0 ? i__ >= i__1 : i__ <= i__1; i__ += i__2) {
/* Computing MIN */
i__3 = nb, i__4 = *n - i__ + 1;
ib = min(i__3,i__4);
/* Factorize the diagonal block */
i__3 = *ldab - 1;
spotf2_(uplo, &ib, &ab_ref(*kd + 1, i__), &i__3, &ii);
if (ii != 0) {
*info = i__ + ii - 1;
goto L150;
}
if (i__ + ib <= *n) {
/* Update the relevant part of the trailing submatrix.
If A11 denotes the diagonal block which has just been
factorized, then we need to update the remaining
blocks in the diagram:
A11 A12 A13
A22 A23
A33
The numbers of rows and columns in the partitioning
are IB, I2, I3 respectively. The blocks A12, A22 and
A23 are empty if IB = KD. The upper triangle of A13
lies outside the band.
Computing MIN */
i__3 = *kd - ib, i__4 = *n - i__ - ib + 1;
i2 = min(i__3,i__4);
/* Computing MIN */
i__3 = ib, i__4 = *n - i__ - *kd + 1;
i3 = min(i__3,i__4);
if (i2 > 0) {
/* Update A12 */
i__3 = *ldab - 1;
i__4 = *ldab - 1;
strsm_("Left", "Upper", "Transpose", "Non-unit", &ib,
&i2, &c_b18, &ab_ref(*kd + 1, i__), &i__3, &
ab_ref(*kd + 1 - ib, i__ + ib), &i__4);
/* Update A22 */
i__3 = *ldab - 1;
i__4 = *ldab - 1;
ssyrk_("Upper", "Transpose", &i2, &ib, &c_b21, &
ab_ref(*kd + 1 - ib, i__ + ib), &i__3, &c_b18,
&ab_ref(*kd + 1, i__ + ib), &i__4);
}
if (i3 > 0) {
/* Copy the lower triangle of A13 into the work array. */
i__3 = i3;
for (jj = 1; jj <= i__3; ++jj) {
i__4 = ib;
for (ii = jj; ii <= i__4; ++ii) {
work_ref(ii, jj) = ab_ref(ii - jj + 1, jj +
i__ + *kd - 1);
/* L30: */
}
/* L40: */
}
/* Update A13 (in the work array). */
i__3 = *ldab - 1;
strsm_("Left", "Upper", "Transpose", "Non-unit", &ib,
&i3, &c_b18, &ab_ref(*kd + 1, i__), &i__3,
work, &c__33);
/* Update A23 */
if (i2 > 0) {
i__3 = *ldab - 1;
i__4 = *ldab - 1;
sgemm_("Transpose", "No Transpose", &i2, &i3, &ib,
&c_b21, &ab_ref(*kd + 1 - ib, i__ + ib),
&i__3, work, &c__33, &c_b18, &ab_ref(ib +
1, i__ + *kd), &i__4);
}
/* Update A33 */
i__3 = *ldab - 1;
ssyrk_("Upper", "Transpose", &i3, &ib, &c_b21, work, &
c__33, &c_b18, &ab_ref(*kd + 1, i__ + *kd), &
i__3);
/* Copy the lower triangle of A13 back into place. */
i__3 = i3;
for (jj = 1; jj <= i__3; ++jj) {
i__4 = ib;
for (ii = jj; ii <= i__4; ++ii) {
ab_ref(ii - jj + 1, jj + i__ + *kd - 1) =
work_ref(ii, jj);
/* L50: */
}
/* L60: */
}
}
}
/* L70: */
}
} else {
/* Compute the Cholesky factorization of a symmetric band
matrix, given the lower triangle of the matrix in band
storage.
Zero the lower triangle of the work array. */
i__2 = nb;
for (j = 1; j <= i__2; ++j) {
i__1 = nb;
for (i__ = j + 1; i__ <= i__1; ++i__) {
work_ref(i__, j) = 0.f;
/* L80: */
}
/* L90: */
}
/* Process the band matrix one diagonal block at a time. */
i__2 = *n;
i__1 = nb;
for (i__ = 1; i__1 < 0 ? i__ >= i__2 : i__ <= i__2; i__ += i__1) {
/* Computing MIN */
i__3 = nb, i__4 = *n - i__ + 1;
ib = min(i__3,i__4);
/* Factorize the diagonal block */
i__3 = *ldab - 1;
spotf2_(uplo, &ib, &ab_ref(1, i__), &i__3, &ii);
if (ii != 0) {
*info = i__ + ii - 1;
goto L150;
}
if (i__ + ib <= *n) {
/* Update the relevant part of the trailing submatrix.
If A11 denotes the diagonal block which has just been
factorized, then we need to update the remaining
blocks in the diagram:
A11
A21 A22
A31 A32 A33
The numbers of rows and columns in the partitioning
are IB, I2, I3 respectively. The blocks A21, A22 and
A32 are empty if IB = KD. The lower triangle of A31
lies outside the band.
Computing MIN */
i__3 = *kd - ib, i__4 = *n - i__ - ib + 1;
i2 = min(i__3,i__4);
/* Computing MIN */
i__3 = ib, i__4 = *n - i__ - *kd + 1;
i3 = min(i__3,i__4);
if (i2 > 0) {
/* Update A21 */
i__3 = *ldab - 1;
i__4 = *ldab - 1;
strsm_("Right", "Lower", "Transpose", "Non-unit", &i2,
&ib, &c_b18, &ab_ref(1, i__), &i__3, &ab_ref(
ib + 1, i__), &i__4);
/* Update A22 */
i__3 = *ldab - 1;
i__4 = *ldab - 1;
ssyrk_("Lower", "No Transpose", &i2, &ib, &c_b21, &
ab_ref(ib + 1, i__), &i__3, &c_b18, &ab_ref(1,
i__ + ib), &i__4);
}
if (i3 > 0) {
/* Copy the upper triangle of A31 into the work array. */
i__3 = ib;
for (jj = 1; jj <= i__3; ++jj) {
i__4 = min(jj,i3);
for (ii = 1; ii <= i__4; ++ii) {
work_ref(ii, jj) = ab_ref(*kd + 1 - jj + ii,
jj + i__ - 1);
/* L100: */
}
/* L110: */
}
/* Update A31 (in the work array). */
i__3 = *ldab - 1;
strsm_("Right", "Lower", "Transpose", "Non-unit", &i3,
&ib, &c_b18, &ab_ref(1, i__), &i__3, work, &
c__33);
/* Update A32 */
if (i2 > 0) {
i__3 = *ldab - 1;
i__4 = *ldab - 1;
sgemm_("No transpose", "Transpose", &i3, &i2, &ib,
&c_b21, work, &c__33, &ab_ref(ib + 1,
i__), &i__3, &c_b18, &ab_ref(*kd + 1 - ib,
i__ + ib), &i__4);
}
/* Update A33 */
i__3 = *ldab - 1;
ssyrk_("Lower", "No Transpose", &i3, &ib, &c_b21,
work, &c__33, &c_b18, &ab_ref(1, i__ + *kd), &
i__3);
/* Copy the upper triangle of A31 back into place. */
i__3 = ib;
for (jj = 1; jj <= i__3; ++jj) {
i__4 = min(jj,i3);
for (ii = 1; ii <= i__4; ++ii) {
ab_ref(*kd + 1 - jj + ii, jj + i__ - 1) =
work_ref(ii, jj);
/* L120: */
}
/* L130: */
}
}
}
/* L140: */
}
}
}
return 0;
L150:
return 0;
/* End of SPBTRF */
} /* spbtrf_ */
/* Subroutine */ int serrpo_(char *path, integer *nunit)
{
/* Builtin functions */
integer s_wsle(cilist *), e_wsle(void);
/* Subroutine */ int s_copy(char *, char *, ftnlen, ftnlen);
/* Local variables */
real a[16] /* was [4][4] */, b[4];
integer i__, j;
real w[12], x[4];
char c2[2];
real r1[4], r2[4], af[16] /* was [4][4] */;
integer iw[4], info;
real anrm, rcond;
extern /* Subroutine */ int spbtf2_(char *, integer *, integer *, real *,
integer *, integer *), spotf2_(char *, integer *, real *,
integer *, integer *), alaesm_(char *, logical *, integer
*);
extern logical lsamen_(integer *, char *, char *);
extern /* Subroutine */ int chkxer_(char *, integer *, integer *, logical
*, logical *), spbcon_(char *, integer *, integer *, real
*, integer *, real *, real *, real *, integer *, integer *), spbequ_(char *, integer *, integer *, real *, integer *,
real *, real *, real *, integer *), spbrfs_(char *,
integer *, integer *, integer *, real *, integer *, real *,
integer *, real *, integer *, real *, integer *, real *, real *,
real *, integer *, integer *), spbtrf_(char *, integer *,
integer *, real *, integer *, integer *), spocon_(char *,
integer *, real *, integer *, real *, real *, real *, integer *,
integer *), sppcon_(char *, integer *, real *, real *,
real *, real *, integer *, integer *), spoequ_(integer *,
real *, integer *, real *, real *, real *, integer *), spbtrs_(
char *, integer *, integer *, integer *, real *, integer *, real *
, integer *, integer *), sporfs_(char *, integer *,
integer *, real *, integer *, real *, integer *, real *, integer *
, real *, integer *, real *, real *, real *, integer *, integer *), spotrf_(char *, integer *, real *, integer *, integer *), spotri_(char *, integer *, real *, integer *, integer *), sppequ_(char *, integer *, real *, real *, real *, real
*, integer *), spprfs_(char *, integer *, integer *, real
*, real *, real *, integer *, real *, integer *, real *, real *,
real *, integer *, integer *), spptrf_(char *, integer *,
real *, integer *), spptri_(char *, integer *, real *,
integer *), spotrs_(char *, integer *, integer *, real *,
integer *, real *, integer *, integer *), spptrs_(char *,
integer *, integer *, real *, real *, integer *, integer *);
/* Fortran I/O blocks */
static cilist io___1 = { 0, 0, 0, 0, 0 };
/* -- LAPACK test routine (version 3.1) -- */
/* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */
/* November 2006 */
/* .. Scalar Arguments .. */
/* .. */
/* Purpose */
/* ======= */
/* SERRPO tests the error exits for the REAL routines */
/* for symmetric positive definite matrices. */
/* Arguments */
/* ========= */
/* PATH (input) CHARACTER*3 */
/* The LAPACK path name for the routines to be tested. */
/* NUNIT (input) INTEGER */
/* The unit number for output. */
/* ===================================================================== */
/* .. Parameters .. */
/* .. */
/* .. Local Scalars .. */
/* .. */
/* .. Local Arrays .. */
/* .. */
/* .. External Functions .. */
/* .. */
/* .. External Subroutines .. */
/* .. */
/* .. Scalars in Common .. */
/* .. */
/* .. Common blocks .. */
/* .. */
/* .. Intrinsic Functions .. */
/* .. */
/* .. Executable Statements .. */
infoc_1.nout = *nunit;
io___1.ciunit = infoc_1.nout;
s_wsle(&io___1);
e_wsle();
s_copy(c2, path + 1, (ftnlen)2, (ftnlen)2);
/* Set the variables to innocuous values. */
for (j = 1; j <= 4; ++j) {
for (i__ = 1; i__ <= 4; ++i__) {
a[i__ + (j << 2) - 5] = 1.f / (real) (i__ + j);
af[i__ + (j << 2) - 5] = 1.f / (real) (i__ + j);
/* L10: */
}
b[j - 1] = 0.f;
r1[j - 1] = 0.f;
r2[j - 1] = 0.f;
w[j - 1] = 0.f;
x[j - 1] = 0.f;
iw[j - 1] = j;
/* L20: */
}
infoc_1.ok = TRUE_;
if (lsamen_(&c__2, c2, "PO")) {
/* Test error exits of the routines that use the Cholesky */
/* decomposition of a symmetric positive definite matrix. */
/* SPOTRF */
s_copy(srnamc_1.srnamt, "SPOTRF", (ftnlen)32, (ftnlen)6);
infoc_1.infot = 1;
spotrf_("/", &c__0, a, &c__1, &info);
chkxer_("SPOTRF", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
spotrf_("U", &c_n1, a, &c__1, &info);
chkxer_("SPOTRF", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 4;
spotrf_("U", &c__2, a, &c__1, &info);
chkxer_("SPOTRF", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
/* SPOTF2 */
s_copy(srnamc_1.srnamt, "SPOTF2", (ftnlen)32, (ftnlen)6);
infoc_1.infot = 1;
spotf2_("/", &c__0, a, &c__1, &info);
chkxer_("SPOTF2", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
spotf2_("U", &c_n1, a, &c__1, &info);
chkxer_("SPOTF2", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 4;
spotf2_("U", &c__2, a, &c__1, &info);
chkxer_("SPOTF2", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
/* SPOTRI */
s_copy(srnamc_1.srnamt, "SPOTRI", (ftnlen)32, (ftnlen)6);
infoc_1.infot = 1;
spotri_("/", &c__0, a, &c__1, &info);
chkxer_("SPOTRI", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
spotri_("U", &c_n1, a, &c__1, &info);
chkxer_("SPOTRI", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 4;
spotri_("U", &c__2, a, &c__1, &info);
chkxer_("SPOTRI", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
/* SPOTRS */
s_copy(srnamc_1.srnamt, "SPOTRS", (ftnlen)32, (ftnlen)6);
infoc_1.infot = 1;
spotrs_("/", &c__0, &c__0, a, &c__1, b, &c__1, &info);
chkxer_("SPOTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
spotrs_("U", &c_n1, &c__0, a, &c__1, b, &c__1, &info);
chkxer_("SPOTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 3;
spotrs_("U", &c__0, &c_n1, a, &c__1, b, &c__1, &info);
chkxer_("SPOTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 5;
spotrs_("U", &c__2, &c__1, a, &c__1, b, &c__2, &info);
chkxer_("SPOTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 7;
spotrs_("U", &c__2, &c__1, a, &c__2, b, &c__1, &info);
chkxer_("SPOTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
/* SPORFS */
s_copy(srnamc_1.srnamt, "SPORFS", (ftnlen)32, (ftnlen)6);
infoc_1.infot = 1;
sporfs_("/", &c__0, &c__0, a, &c__1, af, &c__1, b, &c__1, x, &c__1,
r1, r2, w, iw, &info);
chkxer_("SPORFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
sporfs_("U", &c_n1, &c__0, a, &c__1, af, &c__1, b, &c__1, x, &c__1,
r1, r2, w, iw, &info);
chkxer_("SPORFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 3;
sporfs_("U", &c__0, &c_n1, a, &c__1, af, &c__1, b, &c__1, x, &c__1,
r1, r2, w, iw, &info);
chkxer_("SPORFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 5;
sporfs_("U", &c__2, &c__1, a, &c__1, af, &c__2, b, &c__2, x, &c__2,
r1, r2, w, iw, &info);
chkxer_("SPORFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 7;
sporfs_("U", &c__2, &c__1, a, &c__2, af, &c__1, b, &c__2, x, &c__2,
r1, r2, w, iw, &info);
chkxer_("SPORFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 9;
sporfs_("U", &c__2, &c__1, a, &c__2, af, &c__2, b, &c__1, x, &c__2,
r1, r2, w, iw, &info);
chkxer_("SPORFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 11;
sporfs_("U", &c__2, &c__1, a, &c__2, af, &c__2, b, &c__2, x, &c__1,
r1, r2, w, iw, &info);
chkxer_("SPORFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
/* SPOCON */
s_copy(srnamc_1.srnamt, "SPOCON", (ftnlen)32, (ftnlen)6);
infoc_1.infot = 1;
spocon_("/", &c__0, a, &c__1, &anrm, &rcond, w, iw, &info);
chkxer_("SPOCON", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
spocon_("U", &c_n1, a, &c__1, &anrm, &rcond, w, iw, &info);
chkxer_("SPOCON", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 4;
spocon_("U", &c__2, a, &c__1, &anrm, &rcond, w, iw, &info);
chkxer_("SPOCON", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
/* SPOEQU */
s_copy(srnamc_1.srnamt, "SPOEQU", (ftnlen)32, (ftnlen)6);
infoc_1.infot = 1;
spoequ_(&c_n1, a, &c__1, r1, &rcond, &anrm, &info);
chkxer_("SPOEQU", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 3;
spoequ_(&c__2, a, &c__1, r1, &rcond, &anrm, &info);
chkxer_("SPOEQU", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
} else if (lsamen_(&c__2, c2, "PP")) {
/* Test error exits of the routines that use the Cholesky */
/* decomposition of a symmetric positive definite packed matrix. */
/* SPPTRF */
s_copy(srnamc_1.srnamt, "SPPTRF", (ftnlen)32, (ftnlen)6);
infoc_1.infot = 1;
spptrf_("/", &c__0, a, &info);
chkxer_("SPPTRF", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
spptrf_("U", &c_n1, a, &info);
chkxer_("SPPTRF", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
/* SPPTRI */
s_copy(srnamc_1.srnamt, "SPPTRI", (ftnlen)32, (ftnlen)6);
infoc_1.infot = 1;
spptri_("/", &c__0, a, &info);
chkxer_("SPPTRI", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
spptri_("U", &c_n1, a, &info);
chkxer_("SPPTRI", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
/* SPPTRS */
s_copy(srnamc_1.srnamt, "SPPTRS", (ftnlen)32, (ftnlen)6);
infoc_1.infot = 1;
spptrs_("/", &c__0, &c__0, a, b, &c__1, &info);
chkxer_("SPPTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
spptrs_("U", &c_n1, &c__0, a, b, &c__1, &info);
chkxer_("SPPTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 3;
spptrs_("U", &c__0, &c_n1, a, b, &c__1, &info);
chkxer_("SPPTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 6;
spptrs_("U", &c__2, &c__1, a, b, &c__1, &info);
chkxer_("SPPTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
/* SPPRFS */
s_copy(srnamc_1.srnamt, "SPPRFS", (ftnlen)32, (ftnlen)6);
infoc_1.infot = 1;
spprfs_("/", &c__0, &c__0, a, af, b, &c__1, x, &c__1, r1, r2, w, iw, &
info);
chkxer_("SPPRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
spprfs_("U", &c_n1, &c__0, a, af, b, &c__1, x, &c__1, r1, r2, w, iw, &
info);
chkxer_("SPPRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 3;
spprfs_("U", &c__0, &c_n1, a, af, b, &c__1, x, &c__1, r1, r2, w, iw, &
info);
chkxer_("SPPRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 7;
spprfs_("U", &c__2, &c__1, a, af, b, &c__1, x, &c__2, r1, r2, w, iw, &
info);
chkxer_("SPPRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 9;
spprfs_("U", &c__2, &c__1, a, af, b, &c__2, x, &c__1, r1, r2, w, iw, &
info);
chkxer_("SPPRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
/* SPPCON */
s_copy(srnamc_1.srnamt, "SPPCON", (ftnlen)32, (ftnlen)6);
infoc_1.infot = 1;
sppcon_("/", &c__0, a, &anrm, &rcond, w, iw, &info);
chkxer_("SPPCON", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
sppcon_("U", &c_n1, a, &anrm, &rcond, w, iw, &info);
chkxer_("SPPCON", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
/* SPPEQU */
s_copy(srnamc_1.srnamt, "SPPEQU", (ftnlen)32, (ftnlen)6);
infoc_1.infot = 1;
sppequ_("/", &c__0, a, r1, &rcond, &anrm, &info);
chkxer_("SPPEQU", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
sppequ_("U", &c_n1, a, r1, &rcond, &anrm, &info);
chkxer_("SPPEQU", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
} else if (lsamen_(&c__2, c2, "PB")) {
/* Test error exits of the routines that use the Cholesky */
/* decomposition of a symmetric positive definite band matrix. */
/* SPBTRF */
s_copy(srnamc_1.srnamt, "SPBTRF", (ftnlen)32, (ftnlen)6);
infoc_1.infot = 1;
spbtrf_("/", &c__0, &c__0, a, &c__1, &info);
chkxer_("SPBTRF", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
spbtrf_("U", &c_n1, &c__0, a, &c__1, &info);
chkxer_("SPBTRF", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 3;
spbtrf_("U", &c__1, &c_n1, a, &c__1, &info);
chkxer_("SPBTRF", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 5;
spbtrf_("U", &c__2, &c__1, a, &c__1, &info);
chkxer_("SPBTRF", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
/* SPBTF2 */
s_copy(srnamc_1.srnamt, "SPBTF2", (ftnlen)32, (ftnlen)6);
infoc_1.infot = 1;
spbtf2_("/", &c__0, &c__0, a, &c__1, &info);
chkxer_("SPBTF2", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
spbtf2_("U", &c_n1, &c__0, a, &c__1, &info);
chkxer_("SPBTF2", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 3;
spbtf2_("U", &c__1, &c_n1, a, &c__1, &info);
chkxer_("SPBTF2", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 5;
spbtf2_("U", &c__2, &c__1, a, &c__1, &info);
chkxer_("SPBTF2", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
/* SPBTRS */
s_copy(srnamc_1.srnamt, "SPBTRS", (ftnlen)32, (ftnlen)6);
infoc_1.infot = 1;
spbtrs_("/", &c__0, &c__0, &c__0, a, &c__1, b, &c__1, &info);
chkxer_("SPBTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
spbtrs_("U", &c_n1, &c__0, &c__0, a, &c__1, b, &c__1, &info);
chkxer_("SPBTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 3;
spbtrs_("U", &c__1, &c_n1, &c__0, a, &c__1, b, &c__1, &info);
chkxer_("SPBTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 4;
spbtrs_("U", &c__0, &c__0, &c_n1, a, &c__1, b, &c__1, &info);
chkxer_("SPBTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 6;
spbtrs_("U", &c__2, &c__1, &c__1, a, &c__1, b, &c__1, &info);
chkxer_("SPBTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 8;
spbtrs_("U", &c__2, &c__0, &c__1, a, &c__1, b, &c__1, &info);
chkxer_("SPBTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
/* SPBRFS */
s_copy(srnamc_1.srnamt, "SPBRFS", (ftnlen)32, (ftnlen)6);
infoc_1.infot = 1;
spbrfs_("/", &c__0, &c__0, &c__0, a, &c__1, af, &c__1, b, &c__1, x, &
c__1, r1, r2, w, iw, &info);
chkxer_("SPBRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
spbrfs_("U", &c_n1, &c__0, &c__0, a, &c__1, af, &c__1, b, &c__1, x, &
c__1, r1, r2, w, iw, &info);
chkxer_("SPBRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 3;
spbrfs_("U", &c__1, &c_n1, &c__0, a, &c__1, af, &c__1, b, &c__1, x, &
c__1, r1, r2, w, iw, &info);
chkxer_("SPBRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 4;
spbrfs_("U", &c__0, &c__0, &c_n1, a, &c__1, af, &c__1, b, &c__1, x, &
c__1, r1, r2, w, iw, &info);
chkxer_("SPBRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 6;
spbrfs_("U", &c__2, &c__1, &c__1, a, &c__1, af, &c__2, b, &c__2, x, &
c__2, r1, r2, w, iw, &info);
chkxer_("SPBRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 8;
spbrfs_("U", &c__2, &c__1, &c__1, a, &c__2, af, &c__1, b, &c__2, x, &
c__2, r1, r2, w, iw, &info);
chkxer_("SPBRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 10;
spbrfs_("U", &c__2, &c__0, &c__1, a, &c__1, af, &c__1, b, &c__1, x, &
c__2, r1, r2, w, iw, &info);
chkxer_("SPBRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 12;
spbrfs_("U", &c__2, &c__0, &c__1, a, &c__1, af, &c__1, b, &c__2, x, &
c__1, r1, r2, w, iw, &info);
chkxer_("SPBRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
/* SPBCON */
s_copy(srnamc_1.srnamt, "SPBCON", (ftnlen)32, (ftnlen)6);
infoc_1.infot = 1;
spbcon_("/", &c__0, &c__0, a, &c__1, &anrm, &rcond, w, iw, &info);
chkxer_("SPBCON", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
spbcon_("U", &c_n1, &c__0, a, &c__1, &anrm, &rcond, w, iw, &info);
chkxer_("SPBCON", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 3;
spbcon_("U", &c__1, &c_n1, a, &c__1, &anrm, &rcond, w, iw, &info);
chkxer_("SPBCON", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 5;
spbcon_("U", &c__2, &c__1, a, &c__1, &anrm, &rcond, w, iw, &info);
chkxer_("SPBCON", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
/* SPBEQU */
s_copy(srnamc_1.srnamt, "SPBEQU", (ftnlen)32, (ftnlen)6);
infoc_1.infot = 1;
spbequ_("/", &c__0, &c__0, a, &c__1, r1, &rcond, &anrm, &info);
chkxer_("SPBEQU", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
spbequ_("U", &c_n1, &c__0, a, &c__1, r1, &rcond, &anrm, &info);
chkxer_("SPBEQU", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 3;
spbequ_("U", &c__1, &c_n1, a, &c__1, r1, &rcond, &anrm, &info);
chkxer_("SPBEQU", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 5;
spbequ_("U", &c__2, &c__1, a, &c__1, r1, &rcond, &anrm, &info);
chkxer_("SPBEQU", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
}
/* Print a summary line. */
alaesm_(path, &infoc_1.ok, &infoc_1.nout);
return 0;
/* End of SERRPO */
} /* serrpo_ */
/* Subroutine */ int spbtrf_(char *uplo, integer *n, integer *kd, real *ab,
integer *ldab, integer *info)
{
/* System generated locals */
integer ab_dim1, ab_offset, i__1, i__2, i__3, i__4;
/* Local variables */
integer i__, j, i2, i3, ib, nb, ii, jj;
real work[1056] /* was [33][32] */;
/* -- LAPACK routine (version 3.2) -- */
/* November 2006 */
/* Purpose */
/* ======= */
/* SPBTRF computes the Cholesky factorization of a real symmetric */
/* positive definite band matrix A. */
/* The factorization has the form */
/* A = U**T * U, if UPLO = 'U', or */
/* A = L * L**T, if UPLO = 'L', */
/* where U is an upper triangular matrix and L is lower triangular. */
/* Arguments */
/* ========= */
/* UPLO (input) CHARACTER*1 */
/* = 'U': Upper triangle of A is stored; */
/* = 'L': Lower triangle of A is stored. */
/* N (input) INTEGER */
/* The order of the matrix A. N >= 0. */
/* KD (input) INTEGER */
/* The number of superdiagonals of the matrix A if UPLO = 'U', */
/* or the number of subdiagonals if UPLO = 'L'. KD >= 0. */
/* AB (input/output) REAL array, dimension (LDAB,N) */
/* On entry, the upper or lower triangle of the symmetric band */
/* matrix A, stored in the first KD+1 rows of the array. The */
/* j-th column of A is stored in the j-th column of the array AB */
/* as follows: */
/* if UPLO = 'U', AB(kd+1+i-j,j) = A(i,j) for max(1,j-kd)<=i<=j; */
/* if UPLO = 'L', AB(1+i-j,j) = A(i,j) for j<=i<=min(n,j+kd). */
/* On exit, if INFO = 0, the triangular factor U or L from the */
/* Cholesky factorization A = U**T*U or A = L*L**T of the band */
/* matrix A, in the same storage format as A. */
/* LDAB (input) INTEGER */
/* The leading dimension of the array AB. LDAB >= KD+1. */
/* INFO (output) INTEGER */
/* = 0: successful exit */
/* < 0: if INFO = -i, the i-th argument had an illegal value */
/* > 0: if INFO = i, the leading minor of order i is not */
/* positive definite, and the factorization could not be */
/* completed. */
/* Further Details */
/* =============== */
/* The band storage scheme is illustrated by the following example, when */
/* N = 6, KD = 2, and UPLO = 'U': */
/* On entry: On exit: */
/* * * a13 a24 a35 a46 * * u13 u24 u35 u46 */
/* * a12 a23 a34 a45 a56 * u12 u23 u34 u45 u56 */
/* a11 a22 a33 a44 a55 a66 u11 u22 u33 u44 u55 u66 */
/* Similarly, if UPLO = 'L' the format of A is as follows: */
/* On entry: On exit: */
/* a11 a22 a33 a44 a55 a66 l11 l22 l33 l44 l55 l66 */
/* a21 a32 a43 a54 a65 * l21 l32 l43 l54 l65 * */
/* a31 a42 a53 a64 * * l31 l42 l53 l64 * * */
/* Array elements marked * are not used by the routine. */
/* Contributed by */
/* Peter Mayes and Giuseppe Radicati, IBM ECSEC, Rome, March 23, 1989 */
/* ===================================================================== */
/* Test the input parameters. */
/* Parameter adjustments */
ab_dim1 = *ldab;
ab_offset = 1 + ab_dim1;
ab -= ab_offset;
/* Function Body */
*info = 0;
if (! lsame_(uplo, "U") && ! lsame_(uplo, "L")) {
*info = -1;
} else if (*n < 0) {
*info = -2;
} else if (*kd < 0) {
*info = -3;
} else if (*ldab < *kd + 1) {
*info = -5;
}
if (*info != 0) {
i__1 = -(*info);
xerbla_("SPBTRF", &i__1);
return 0;
}
/* Quick return if possible */
if (*n == 0) {
return 0;
}
/* Determine the block size for this environment */
nb = ilaenv_(&c__1, "SPBTRF", uplo, n, kd, &c_n1, &c_n1);
/* The block size must not exceed the semi-bandwidth KD, and must not */
/* exceed the limit set by the size of the local array WORK. */
nb = min(nb,32);
if (nb <= 1 || nb > *kd) {
/* Use unblocked code */
spbtf2_(uplo, n, kd, &ab[ab_offset], ldab, info);
} else {
/* Use blocked code */
if (lsame_(uplo, "U")) {
/* Compute the Cholesky factorization of a symmetric band */
/* matrix, given the upper triangle of the matrix in band */
/* storage. */
/* Zero the upper triangle of the work array. */
i__1 = nb;
for (j = 1; j <= i__1; ++j) {
i__2 = j - 1;
for (i__ = 1; i__ <= i__2; ++i__) {
work[i__ + j * 33 - 34] = 0.f;
}
}
/* Process the band matrix one diagonal block at a time. */
i__1 = *n;
i__2 = nb;
for (i__ = 1; i__2 < 0 ? i__ >= i__1 : i__ <= i__1; i__ += i__2) {
/* Computing MIN */
i__3 = nb, i__4 = *n - i__ + 1;
ib = min(i__3,i__4);
/* Factorize the diagonal block */
i__3 = *ldab - 1;
spotf2_(uplo, &ib, &ab[*kd + 1 + i__ * ab_dim1], &i__3, &ii);
if (ii != 0) {
*info = i__ + ii - 1;
goto L150;
}
if (i__ + ib <= *n) {
/* Update the relevant part of the trailing submatrix. */
/* If A11 denotes the diagonal block which has just been */
/* factorized, then we need to update the remaining */
/* blocks in the diagram: */
/* A11 A12 A13 */
/* A22 A23 */
/* A33 */
/* The numbers of rows and columns in the partitioning */
/* are IB, I2, I3 respectively. The blocks A12, A22 and */
/* A23 are empty if IB = KD. The upper triangle of A13 */
/* lies outside the band. */
/* Computing MIN */
i__3 = *kd - ib, i__4 = *n - i__ - ib + 1;
i2 = min(i__3,i__4);
/* Computing MIN */
i__3 = ib, i__4 = *n - i__ - *kd + 1;
i3 = min(i__3,i__4);
if (i2 > 0) {
/* Update A12 */
i__3 = *ldab - 1;
i__4 = *ldab - 1;
strsm_("Left", "Upper", "Transpose", "Non-unit", &ib,
&i2, &c_b18, &ab[*kd + 1 + i__ * ab_dim1], &
i__3, &ab[*kd + 1 - ib + (i__ + ib) * ab_dim1]
, &i__4);
/* Update A22 */
i__3 = *ldab - 1;
i__4 = *ldab - 1;
ssyrk_("Upper", "Transpose", &i2, &ib, &c_b21, &ab[*
kd + 1 - ib + (i__ + ib) * ab_dim1], &i__3, &
c_b18, &ab[*kd + 1 + (i__ + ib) * ab_dim1], &
i__4);
}
if (i3 > 0) {
/* Copy the lower triangle of A13 into the work array. */
i__3 = i3;
for (jj = 1; jj <= i__3; ++jj) {
i__4 = ib;
for (ii = jj; ii <= i__4; ++ii) {
work[ii + jj * 33 - 34] = ab[ii - jj + 1 + (
jj + i__ + *kd - 1) * ab_dim1];
}
}
/* Update A13 (in the work array). */
i__3 = *ldab - 1;
strsm_("Left", "Upper", "Transpose", "Non-unit", &ib,
&i3, &c_b18, &ab[*kd + 1 + i__ * ab_dim1], &
i__3, work, &c__33);
/* Update A23 */
if (i2 > 0) {
i__3 = *ldab - 1;
i__4 = *ldab - 1;
sgemm_("Transpose", "No Transpose", &i2, &i3, &ib,
&c_b21, &ab[*kd + 1 - ib + (i__ + ib) *
ab_dim1], &i__3, work, &c__33, &c_b18, &
ab[ib + 1 + (i__ + *kd) * ab_dim1], &i__4);
}
/* Update A33 */
i__3 = *ldab - 1;
ssyrk_("Upper", "Transpose", &i3, &ib, &c_b21, work, &
c__33, &c_b18, &ab[*kd + 1 + (i__ + *kd) *
ab_dim1], &i__3);
/* Copy the lower triangle of A13 back into place. */
i__3 = i3;
for (jj = 1; jj <= i__3; ++jj) {
i__4 = ib;
for (ii = jj; ii <= i__4; ++ii) {
ab[ii - jj + 1 + (jj + i__ + *kd - 1) *
ab_dim1] = work[ii + jj * 33 - 34];
}
}
}
}
}
} else {
/* Compute the Cholesky factorization of a symmetric band */
/* matrix, given the lower triangle of the matrix in band */
/* storage. */
/* Zero the lower triangle of the work array. */
i__2 = nb;
for (j = 1; j <= i__2; ++j) {
i__1 = nb;
for (i__ = j + 1; i__ <= i__1; ++i__) {
work[i__ + j * 33 - 34] = 0.f;
}
}
/* Process the band matrix one diagonal block at a time. */
i__2 = *n;
i__1 = nb;
for (i__ = 1; i__1 < 0 ? i__ >= i__2 : i__ <= i__2; i__ += i__1) {
/* Computing MIN */
i__3 = nb, i__4 = *n - i__ + 1;
ib = min(i__3,i__4);
/* Factorize the diagonal block */
i__3 = *ldab - 1;
spotf2_(uplo, &ib, &ab[i__ * ab_dim1 + 1], &i__3, &ii);
if (ii != 0) {
*info = i__ + ii - 1;
goto L150;
}
if (i__ + ib <= *n) {
/* Update the relevant part of the trailing submatrix. */
/* If A11 denotes the diagonal block which has just been */
/* factorized, then we need to update the remaining */
/* blocks in the diagram: */
/* A11 */
/* A21 A22 */
/* A31 A32 A33 */
/* The numbers of rows and columns in the partitioning */
/* are IB, I2, I3 respectively. The blocks A21, A22 and */
/* A32 are empty if IB = KD. The lower triangle of A31 */
/* lies outside the band. */
/* Computing MIN */
i__3 = *kd - ib, i__4 = *n - i__ - ib + 1;
i2 = min(i__3,i__4);
/* Computing MIN */
i__3 = ib, i__4 = *n - i__ - *kd + 1;
i3 = min(i__3,i__4);
if (i2 > 0) {
/* Update A21 */
i__3 = *ldab - 1;
i__4 = *ldab - 1;
strsm_("Right", "Lower", "Transpose", "Non-unit", &i2,
&ib, &c_b18, &ab[i__ * ab_dim1 + 1], &i__3, &
ab[ib + 1 + i__ * ab_dim1], &i__4);
/* Update A22 */
i__3 = *ldab - 1;
i__4 = *ldab - 1;
ssyrk_("Lower", "No Transpose", &i2, &ib, &c_b21, &ab[
ib + 1 + i__ * ab_dim1], &i__3, &c_b18, &ab[(
i__ + ib) * ab_dim1 + 1], &i__4);
}
if (i3 > 0) {
/* Copy the upper triangle of A31 into the work array. */
i__3 = ib;
for (jj = 1; jj <= i__3; ++jj) {
i__4 = min(jj,i3);
for (ii = 1; ii <= i__4; ++ii) {
work[ii + jj * 33 - 34] = ab[*kd + 1 - jj +
ii + (jj + i__ - 1) * ab_dim1];
}
}
/* Update A31 (in the work array). */
i__3 = *ldab - 1;
strsm_("Right", "Lower", "Transpose", "Non-unit", &i3,
&ib, &c_b18, &ab[i__ * ab_dim1 + 1], &i__3,
work, &c__33);
/* Update A32 */
if (i2 > 0) {
i__3 = *ldab - 1;
i__4 = *ldab - 1;
sgemm_("No transpose", "Transpose", &i3, &i2, &ib,
&c_b21, work, &c__33, &ab[ib + 1 + i__ *
ab_dim1], &i__3, &c_b18, &ab[*kd + 1 - ib
+ (i__ + ib) * ab_dim1], &i__4);
}
/* Update A33 */
i__3 = *ldab - 1;
ssyrk_("Lower", "No Transpose", &i3, &ib, &c_b21,
work, &c__33, &c_b18, &ab[(i__ + *kd) *
ab_dim1 + 1], &i__3);
/* Copy the upper triangle of A31 back into place. */
i__3 = ib;
for (jj = 1; jj <= i__3; ++jj) {
i__4 = min(jj,i3);
for (ii = 1; ii <= i__4; ++ii) {
ab[*kd + 1 - jj + ii + (jj + i__ - 1) *
ab_dim1] = work[ii + jj * 33 - 34];
}
}
}
}
}
}
}
return 0;
L150:
return 0;
/* End of SPBTRF */
} /* spbtrf_ */
