/* Subroutine */ int serred_(char *path, integer *nunit)
{
/* Format strings */
static char fmt_9999[] = "(1x,a3,\002 routines passed the tests of the e"
"rror exits (\002,i3,\002 tests done)\002)";
static char fmt_9998[] = "(\002 *** \002,a3,\002 routines failed the tes"
"ts of the error ex\002,\002its ***\002)";
/* Builtin functions */
integer s_wsle(cilist *), e_wsle(void);
/* Subroutine */ int s_copy(char *, char *, ftnlen, ftnlen);
integer s_wsfe(cilist *), do_fio(integer *, char *, ftnlen), e_wsfe(void);
/* Local variables */
static integer info, sdim;
static real a[16] /* was [4][4] */;
static logical b[4];
static integer i__, j;
static real s[4], u[16] /* was [4][4] */, w[16], abnrm;
extern /* Subroutine */ int sgees_(char *, char *, L_fp, integer *, real *
, integer *, integer *, real *, real *, real *, integer *, real *,
integer *, logical *, integer *), sgeev_(char *,
char *, integer *, real *, integer *, real *, real *, real *,
integer *, real *, integer *, real *, integer *, integer *);
static char c2[2];
static real r1[4], r2[4];
static integer iw[8];
static real wi[4];
static integer nt;
static real vl[16] /* was [4][4] */, vr[16] /* was [4][4] */, wr[
4], vt[16] /* was [4][4] */;
extern /* Subroutine */ int sgesdd_(char *, integer *, integer *, real *,
integer *, real *, real *, integer *, real *, integer *, real *,
integer *, integer *, integer *);
extern logical lsamen_(integer *, char *, char *);
extern /* Subroutine */ int chkxer_(char *, integer *, integer *, logical
*, logical *), sgesvd_(char *, char *, integer *, integer
*, real *, integer *, real *, real *, integer *, real *, integer *
, real *, integer *, integer *);
extern logical sslect_();
extern /* Subroutine */ int sgeesx_(char *, char *, L_fp, char *, integer
*, real *, integer *, integer *, real *, real *, real *, integer *
, real *, real *, real *, integer *, integer *, integer *,
logical *, integer *), sgeevx_(char *,
char *, char *, char *, integer *, real *, integer *, real *,
real *, real *, integer *, real *, integer *, integer *, integer *
, real *, real *, real *, real *, real *, integer *, integer *,
integer *);
static integer ihi, ilo;
/* Fortran I/O blocks */
static cilist io___1 = { 0, 0, 0, 0, 0 };
static cilist io___24 = { 0, 0, 0, fmt_9999, 0 };
static cilist io___25 = { 0, 0, 0, fmt_9998, 0 };
#define a_ref(a_1,a_2) a[(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
December 22, 1999
Purpose
=======
SERRED tests the error exits for the eigenvalue driver routines for
REAL matrices:
PATH driver description
---- ------ -----------
SEV SGEEV find eigenvalues/eigenvectors for nonsymmetric A
SES SGEES find eigenvalues/Schur form for nonsymmetric A
SVX SGEEVX SGEEV + balancing and condition estimation
SSX SGEESX SGEES + balancing and condition estimation
SBD SGESVD compute SVD of an M-by-N matrix A
SGESDD compute SVD of an M-by-N matrix A (by divide and
conquer)
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);
/* Initialize A */
for (j = 1; j <= 4; ++j) {
for (i__ = 1; i__ <= 4; ++i__) {
a_ref(i__, j) = 0.f;
/* L10: */
}
/* L20: */
}
for (i__ = 1; i__ <= 4; ++i__) {
a_ref(i__, i__) = 1.f;
/* L30: */
}
infoc_1.ok = TRUE_;
nt = 0;
if (lsamen_(&c__2, c2, "EV")) {
/* Test SGEEV */
s_copy(srnamc_1.srnamt, "SGEEV ", (ftnlen)6, (ftnlen)6);
infoc_1.infot = 1;
sgeev_("X", "N", &c__0, a, &c__1, wr, wi, vl, &c__1, vr, &c__1, w, &
c__1, &info);
chkxer_("SGEEV ", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
sgeev_("N", "X", &c__0, a, &c__1, wr, wi, vl, &c__1, vr, &c__1, w, &
c__1, &info);
chkxer_("SGEEV ", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 3;
sgeev_("N", "N", &c_n1, a, &c__1, wr, wi, vl, &c__1, vr, &c__1, w, &
c__1, &info);
chkxer_("SGEEV ", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 5;
sgeev_("N", "N", &c__2, a, &c__1, wr, wi, vl, &c__1, vr, &c__1, w, &
c__6, &info);
chkxer_("SGEEV ", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 9;
sgeev_("V", "N", &c__2, a, &c__2, wr, wi, vl, &c__1, vr, &c__1, w, &
c__8, &info);
chkxer_("SGEEV ", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 11;
sgeev_("N", "V", &c__2, a, &c__2, wr, wi, vl, &c__1, vr, &c__1, w, &
c__8, &info);
chkxer_("SGEEV ", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 13;
sgeev_("V", "V", &c__1, a, &c__1, wr, wi, vl, &c__1, vr, &c__1, w, &
c__3, &info);
chkxer_("SGEEV ", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
nt += 7;
} else if (lsamen_(&c__2, c2, "ES")) {
/* Test SGEES */
s_copy(srnamc_1.srnamt, "SGEES ", (ftnlen)6, (ftnlen)6);
infoc_1.infot = 1;
sgees_("X", "N", (L_fp)sslect_, &c__0, a, &c__1, &sdim, wr, wi, vl, &
c__1, w, &c__1, b, &info);
chkxer_("SGEES ", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
sgees_("N", "X", (L_fp)sslect_, &c__0, a, &c__1, &sdim, wr, wi, vl, &
c__1, w, &c__1, b, &info);
chkxer_("SGEES ", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 4;
sgees_("N", "S", (L_fp)sslect_, &c_n1, a, &c__1, &sdim, wr, wi, vl, &
c__1, w, &c__1, b, &info);
chkxer_("SGEES ", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 6;
sgees_("N", "S", (L_fp)sslect_, &c__2, a, &c__1, &sdim, wr, wi, vl, &
c__1, w, &c__6, b, &info);
chkxer_("SGEES ", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 11;
sgees_("V", "S", (L_fp)sslect_, &c__2, a, &c__2, &sdim, wr, wi, vl, &
c__1, w, &c__6, b, &info);
chkxer_("SGEES ", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 13;
sgees_("N", "S", (L_fp)sslect_, &c__1, a, &c__1, &sdim, wr, wi, vl, &
c__1, w, &c__2, b, &info);
chkxer_("SGEES ", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
nt += 6;
} else if (lsamen_(&c__2, c2, "VX")) {
/* Test SGEEVX */
s_copy(srnamc_1.srnamt, "SGEEVX", (ftnlen)6, (ftnlen)6);
infoc_1.infot = 1;
sgeevx_("X", "N", "N", "N", &c__0, a, &c__1, wr, wi, vl, &c__1, vr, &
c__1, &ilo, &ihi, s, &abnrm, r1, r2, w, &c__1, iw, &info);
chkxer_("SGEEVX", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
sgeevx_("N", "X", "N", "N", &c__0, a, &c__1, wr, wi, vl, &c__1, vr, &
c__1, &ilo, &ihi, s, &abnrm, r1, r2, w, &c__1, iw, &info);
chkxer_("SGEEVX", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 3;
sgeevx_("N", "N", "X", "N", &c__0, a, &c__1, wr, wi, vl, &c__1, vr, &
c__1, &ilo, &ihi, s, &abnrm, r1, r2, w, &c__1, iw, &info);
chkxer_("SGEEVX", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 4;
sgeevx_("N", "N", "N", "X", &c__0, a, &c__1, wr, wi, vl, &c__1, vr, &
c__1, &ilo, &ihi, s, &abnrm, r1, r2, w, &c__1, iw, &info);
chkxer_("SGEEVX", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 5;
sgeevx_("N", "N", "N", "N", &c_n1, a, &c__1, wr, wi, vl, &c__1, vr, &
c__1, &ilo, &ihi, s, &abnrm, r1, r2, w, &c__1, iw, &info);
chkxer_("SGEEVX", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 7;
sgeevx_("N", "N", "N", "N", &c__2, a, &c__1, wr, wi, vl, &c__1, vr, &
c__1, &ilo, &ihi, s, &abnrm, r1, r2, w, &c__1, iw, &info);
chkxer_("SGEEVX", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 11;
sgeevx_("N", "V", "N", "N", &c__2, a, &c__2, wr, wi, vl, &c__1, vr, &
c__1, &ilo, &ihi, s, &abnrm, r1, r2, w, &c__6, iw, &info);
chkxer_("SGEEVX", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 13;
sgeevx_("N", "N", "V", "N", &c__2, a, &c__2, wr, wi, vl, &c__1, vr, &
c__1, &ilo, &ihi, s, &abnrm, r1, r2, w, &c__6, iw, &info);
chkxer_("SGEEVX", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 21;
sgeevx_("N", "N", "N", "N", &c__1, a, &c__1, wr, wi, vl, &c__1, vr, &
c__1, &ilo, &ihi, s, &abnrm, r1, r2, w, &c__1, iw, &info);
chkxer_("SGEEVX", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 21;
sgeevx_("N", "V", "N", "N", &c__1, a, &c__1, wr, wi, vl, &c__1, vr, &
c__1, &ilo, &ihi, s, &abnrm, r1, r2, w, &c__2, iw, &info);
chkxer_("SGEEVX", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 21;
sgeevx_("N", "N", "V", "V", &c__1, a, &c__1, wr, wi, vl, &c__1, vr, &
c__1, &ilo, &ihi, s, &abnrm, r1, r2, w, &c__3, iw, &info);
chkxer_("SGEEVX", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
nt += 11;
} else if (lsamen_(&c__2, c2, "SX")) {
/* Test SGEESX */
s_copy(srnamc_1.srnamt, "SGEESX", (ftnlen)6, (ftnlen)6);
infoc_1.infot = 1;
sgeesx_("X", "N", (L_fp)sslect_, "N", &c__0, a, &c__1, &sdim, wr, wi,
vl, &c__1, r1, r2, w, &c__1, iw, &c__1, b, &info);
chkxer_("SGEESX", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
sgeesx_("N", "X", (L_fp)sslect_, "N", &c__0, a, &c__1, &sdim, wr, wi,
vl, &c__1, r1, r2, w, &c__1, iw, &c__1, b, &info);
chkxer_("SGEESX", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 4;
sgeesx_("N", "N", (L_fp)sslect_, "X", &c__0, a, &c__1, &sdim, wr, wi,
vl, &c__1, r1, r2, w, &c__1, iw, &c__1, b, &info);
chkxer_("SGEESX", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 5;
sgeesx_("N", "N", (L_fp)sslect_, "N", &c_n1, a, &c__1, &sdim, wr, wi,
vl, &c__1, r1, r2, w, &c__1, iw, &c__1, b, &info);
chkxer_("SGEESX", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 7;
sgeesx_("N", "N", (L_fp)sslect_, "N", &c__2, a, &c__1, &sdim, wr, wi,
vl, &c__1, r1, r2, w, &c__6, iw, &c__1, b, &info);
chkxer_("SGEESX", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 12;
sgeesx_("V", "N", (L_fp)sslect_, "N", &c__2, a, &c__2, &sdim, wr, wi,
vl, &c__1, r1, r2, w, &c__6, iw, &c__1, b, &info);
chkxer_("SGEESX", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 16;
sgeesx_("N", "N", (L_fp)sslect_, "N", &c__1, a, &c__1, &sdim, wr, wi,
vl, &c__1, r1, r2, w, &c__2, iw, &c__1, b, &info);
chkxer_("SGEESX", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
nt += 7;
} else if (lsamen_(&c__2, c2, "BD")) {
/* Test SGESVD */
s_copy(srnamc_1.srnamt, "SGESVD", (ftnlen)6, (ftnlen)6);
infoc_1.infot = 1;
sgesvd_("X", "N", &c__0, &c__0, a, &c__1, s, u, &c__1, vt, &c__1, w, &
c__1, &info);
chkxer_("SGESVD", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
sgesvd_("N", "X", &c__0, &c__0, a, &c__1, s, u, &c__1, vt, &c__1, w, &
c__1, &info);
chkxer_("SGESVD", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
sgesvd_("O", "O", &c__0, &c__0, a, &c__1, s, u, &c__1, vt, &c__1, w, &
c__1, &info);
chkxer_("SGESVD", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 3;
sgesvd_("N", "N", &c_n1, &c__0, a, &c__1, s, u, &c__1, vt, &c__1, w, &
c__1, &info);
chkxer_("SGESVD", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 4;
sgesvd_("N", "N", &c__0, &c_n1, a, &c__1, s, u, &c__1, vt, &c__1, w, &
c__1, &info);
chkxer_("SGESVD", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 6;
sgesvd_("N", "N", &c__2, &c__1, a, &c__1, s, u, &c__1, vt, &c__1, w, &
c__5, &info);
chkxer_("SGESVD", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 9;
sgesvd_("A", "N", &c__2, &c__1, a, &c__2, s, u, &c__1, vt, &c__1, w, &
c__5, &info);
chkxer_("SGESVD", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 11;
sgesvd_("N", "A", &c__1, &c__2, a, &c__1, s, u, &c__1, vt, &c__1, w, &
c__5, &info);
chkxer_("SGESVD", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
nt += 8;
/* Test SGESDD */
s_copy(srnamc_1.srnamt, "SGESDD", (ftnlen)6, (ftnlen)6);
infoc_1.infot = 1;
sgesdd_("X", &c__0, &c__0, a, &c__1, s, u, &c__1, vt, &c__1, w, &c__1,
iw, &info);
chkxer_("SGESDD", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
sgesdd_("N", &c_n1, &c__0, a, &c__1, s, u, &c__1, vt, &c__1, w, &c__1,
iw, &info);
chkxer_("SGESDD", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 3;
sgesdd_("N", &c__0, &c_n1, a, &c__1, s, u, &c__1, vt, &c__1, w, &c__1,
iw, &info);
chkxer_("SGESDD", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 5;
sgesdd_("N", &c__2, &c__1, a, &c__1, s, u, &c__1, vt, &c__1, w, &c__5,
iw, &info);
chkxer_("SGESDD", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 8;
sgesdd_("A", &c__2, &c__1, a, &c__2, s, u, &c__1, vt, &c__1, w, &c__5,
iw, &info);
chkxer_("SGESDD", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 10;
sgesdd_("A", &c__1, &c__2, a, &c__1, s, u, &c__1, vt, &c__1, w, &c__5,
iw, &info);
chkxer_("SGESDD", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
nt += 6;
}
/* Print a summary line. */
if (! lsamen_(&c__2, c2, "BD")) {
if (infoc_1.ok) {
io___24.ciunit = infoc_1.nout;
s_wsfe(&io___24);
do_fio(&c__1, path, (ftnlen)3);
do_fio(&c__1, (char *)&nt, (ftnlen)sizeof(integer));
e_wsfe();
} else {
io___25.ciunit = infoc_1.nout;
s_wsfe(&io___25);
do_fio(&c__1, path, (ftnlen)3);
e_wsfe();
}
}
return 0;
/* End of SERRED */
} /* serred_ */
/* Subroutine */ int sget23_(logical *comp, char *balanc, integer *jtype,
real *thresh, integer *iseed, integer *nounit, integer *n, real *a,
integer *lda, real *h__, real *wr, real *wi, real *wr1, real *wi1,
real *vl, integer *ldvl, real *vr, integer *ldvr, real *lre, integer *
ldlre, real *rcondv, real *rcndv1, real *rcdvin, real *rconde, real *
rcnde1, real *rcdein, real *scale, real *scale1, real *result, real *
work, integer *lwork, integer *iwork, integer *info)
{
/* Initialized data */
static char sens[1*2] = "N" "V";
/* Format strings */
static char fmt_9998[] = "(\002 SGET23: \002,a,\002 returned INFO=\002,i"
"6,\002.\002,/9x,\002N=\002,i6,\002, JTYPE=\002,i6,\002, BALANC = "
"\002,a,\002, ISEED=(\002,3(i5,\002,\002),i5,\002)\002)";
static char fmt_9999[] = "(\002 SGET23: \002,a,\002 returned INFO=\002,i"
"6,\002.\002,/9x,\002N=\002,i6,\002, INPUT EXAMPLE NUMBER = \002,"
"i4)";
/* System generated locals */
integer a_dim1, a_offset, h_dim1, h_offset, lre_dim1, lre_offset, vl_dim1,
vl_offset, vr_dim1, vr_offset, i__1, i__2, i__3;
real r__1, r__2, r__3, r__4, r__5;
/* Builtin functions */
integer s_wsfe(cilist *), do_fio(integer *, char *, ftnlen), e_wsfe(void);
/* Local variables */
integer i__, j;
real v;
integer jj, ihi, ilo;
real dum[1], eps, res[2], tol, ulp, vmx;
integer ihi1, ilo1, kmin;
real vmax, tnrm, vrmx, vtst;
extern doublereal snrm2_(integer *, real *, integer *);
logical balok, nobal;
real abnrm;
extern logical lsame_(char *, char *);
integer iinfo;
extern /* Subroutine */ int sget22_(char *, char *, char *, integer *,
real *, integer *, real *, integer *, real *, real *, real *,
real *);
char sense[1];
integer isens;
real vimin, tolin, vrmin, abnrm1;
extern doublereal slapy2_(real *, real *), slamch_(char *);
extern /* Subroutine */ int xerbla_(char *, integer *), slacpy_(
char *, integer *, integer *, real *, integer *, real *, integer *
);
integer isensm;
extern /* Subroutine */ int sgeevx_(char *, char *, char *, char *,
integer *, real *, integer *, real *, real *, real *, integer *,
real *, integer *, integer *, integer *, real *, real *, real *,
real *, real *, integer *, integer *, integer *);
real smlnum, ulpinv;
/* Fortran I/O blocks */
static cilist io___14 = { 0, 0, 0, fmt_9998, 0 };
static cilist io___15 = { 0, 0, 0, fmt_9999, 0 };
static cilist io___28 = { 0, 0, 0, fmt_9998, 0 };
static cilist io___29 = { 0, 0, 0, fmt_9999, 0 };
static cilist io___30 = { 0, 0, 0, fmt_9998, 0 };
static cilist io___31 = { 0, 0, 0, fmt_9999, 0 };
static cilist io___32 = { 0, 0, 0, fmt_9998, 0 };
static cilist io___33 = { 0, 0, 0, fmt_9999, 0 };
static cilist io___34 = { 0, 0, 0, fmt_9999, 0 };
/* -- LAPACK test routine (version 3.1) -- */
/* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */
/* November 2006 */
/* .. Scalar Arguments .. */
/* .. */
/* .. Array Arguments .. */
/* .. */
/* Purpose */
/* ======= */
/* SGET23 checks the nonsymmetric eigenvalue problem driver SGEEVX. */
/* If COMP = .FALSE., the first 8 of the following tests will be */
/* performed on the input matrix A, and also test 9 if LWORK is */
/* sufficiently large. */
/* if COMP is .TRUE. all 11 tests will be performed. */
/* (1) | A * VR - VR * W | / ( n |A| ulp ) */
/* Here VR is the matrix of unit right eigenvectors. */
/* W is a block diagonal matrix, with a 1x1 block for each */
/* real eigenvalue and a 2x2 block for each complex conjugate */
/* pair. If eigenvalues j and j+1 are a complex conjugate pair, */
/* so WR(j) = WR(j+1) = wr and WI(j) = - WI(j+1) = wi, then the */
/* 2 x 2 block corresponding to the pair will be: */
/* ( wr wi ) */
/* ( -wi wr ) */
/* Such a block multiplying an n x 2 matrix ( ur ui ) on the */
/* right will be the same as multiplying ur + i*ui by wr + i*wi. */
/* (2) | A**H * VL - VL * W**H | / ( n |A| ulp ) */
/* Here VL is the matrix of unit left eigenvectors, A**H is the */
/* conjugate transpose of A, and W is as above. */
/* (3) | |VR(i)| - 1 | / ulp and largest component real */
/* VR(i) denotes the i-th column of VR. */
/* (4) | |VL(i)| - 1 | / ulp and largest component real */
/* VL(i) denotes the i-th column of VL. */
/* (5) 0 if W(full) = W(partial), 1/ulp otherwise */
/* W(full) denotes the eigenvalues computed when VR, VL, RCONDV */
/* and RCONDE are also computed, and W(partial) denotes the */
/* eigenvalues computed when only some of VR, VL, RCONDV, and */
/* RCONDE are computed. */
/* (6) 0 if VR(full) = VR(partial), 1/ulp otherwise */
/* VR(full) denotes the right eigenvectors computed when VL, RCONDV */
/* and RCONDE are computed, and VR(partial) denotes the result */
/* when only some of VL and RCONDV are computed. */
/* (7) 0 if VL(full) = VL(partial), 1/ulp otherwise */
/* VL(full) denotes the left eigenvectors computed when VR, RCONDV */
/* and RCONDE are computed, and VL(partial) denotes the result */
/* when only some of VR and RCONDV are computed. */
/* (8) 0 if SCALE, ILO, IHI, ABNRM (full) = */
/* SCALE, ILO, IHI, ABNRM (partial) */
/* 1/ulp otherwise */
/* SCALE, ILO, IHI and ABNRM describe how the matrix is balanced. */
/* (full) is when VR, VL, RCONDE and RCONDV are also computed, and */
/* (partial) is when some are not computed. */
/* (9) 0 if RCONDV(full) = RCONDV(partial), 1/ulp otherwise */
/* RCONDV(full) denotes the reciprocal condition numbers of the */
/* right eigenvectors computed when VR, VL and RCONDE are also */
/* computed. RCONDV(partial) denotes the reciprocal condition */
/* numbers when only some of VR, VL and RCONDE are computed. */
/* (10) |RCONDV - RCDVIN| / cond(RCONDV) */
/* RCONDV is the reciprocal right eigenvector condition number */
/* computed by SGEEVX and RCDVIN (the precomputed true value) */
/* is supplied as input. cond(RCONDV) is the condition number of */
/* RCONDV, and takes errors in computing RCONDV into account, so */
/* that the resulting quantity should be O(ULP). cond(RCONDV) is */
/* essentially given by norm(A)/RCONDE. */
/* (11) |RCONDE - RCDEIN| / cond(RCONDE) */
/* RCONDE is the reciprocal eigenvalue condition number */
/* computed by SGEEVX and RCDEIN (the precomputed true value) */
/* is supplied as input. cond(RCONDE) is the condition number */
/* of RCONDE, and takes errors in computing RCONDE into account, */
/* so that the resulting quantity should be O(ULP). cond(RCONDE) */
/* is essentially given by norm(A)/RCONDV. */
/* Arguments */
/* ========= */
/* COMP (input) LOGICAL */
/* COMP describes which input tests to perform: */
/* = .FALSE. if the computed condition numbers are not to */
/* be tested against RCDVIN and RCDEIN */
/* = .TRUE. if they are to be compared */
/* BALANC (input) CHARACTER */
/* Describes the balancing option to be tested. */
/* = 'N' for no permuting or diagonal scaling */
/* = 'P' for permuting but no diagonal scaling */
/* = 'S' for no permuting but diagonal scaling */
/* = 'B' for permuting and diagonal scaling */
/* JTYPE (input) INTEGER */
/* Type of input matrix. Used to label output if error occurs. */
/* THRESH (input) REAL */
/* A test will count as "failed" if the "error", computed as */
/* described above, exceeds THRESH. Note that the error */
/* is scaled to be O(1), so THRESH should be a reasonably */
/* small multiple of 1, e.g., 10 or 100. In particular, */
/* it should not depend on the precision (single vs. double) */
/* or the size of the matrix. It must be at least zero. */
/* ISEED (input) INTEGER array, dimension (4) */
/* If COMP = .FALSE., the random number generator seed */
/* used to produce matrix. */
/* If COMP = .TRUE., ISEED(1) = the number of the example. */
/* Used to label output if error occurs. */
/* NOUNIT (input) INTEGER */
/* The FORTRAN unit number for printing out error messages */
/* (e.g., if a routine returns INFO not equal to 0.) */
/* N (input) INTEGER */
/* The dimension of A. N must be at least 0. */
/* A (input/output) REAL array, dimension (LDA,N) */
/* Used to hold the matrix whose eigenvalues are to be */
/* computed. */
/* LDA (input) INTEGER */
/* The leading dimension of A, and H. LDA must be at */
/* least 1 and at least N. */
/* H (workspace) REAL array, dimension (LDA,N) */
/* Another copy of the test matrix A, modified by SGEEVX. */
/* WR (workspace) REAL array, dimension (N) */
/* WI (workspace) REAL array, dimension (N) */
/* The real and imaginary parts of the eigenvalues of A. */
/* On exit, WR + WI*i are the eigenvalues of the matrix in A. */
/* WR1 (workspace) REAL array, dimension (N) */
/* WI1 (workspace) REAL array, dimension (N) */
/* Like WR, WI, these arrays contain the eigenvalues of A, */
/* but those computed when SGEEVX only computes a partial */
/* eigendecomposition, i.e. not the eigenvalues and left */
/* and right eigenvectors. */
/* VL (workspace) REAL array, dimension (LDVL,N) */
/* VL holds the computed left eigenvectors. */
/* LDVL (input) INTEGER */
/* Leading dimension of VL. Must be at least max(1,N). */
/* VR (workspace) REAL array, dimension (LDVR,N) */
/* VR holds the computed right eigenvectors. */
/* LDVR (input) INTEGER */
/* Leading dimension of VR. Must be at least max(1,N). */
/* LRE (workspace) REAL array, dimension (LDLRE,N) */
/* LRE holds the computed right or left eigenvectors. */
/* LDLRE (input) INTEGER */
/* Leading dimension of LRE. Must be at least max(1,N). */
/* RCONDV (workspace) REAL array, dimension (N) */
/* RCONDV holds the computed reciprocal condition numbers */
/* for eigenvectors. */
/* RCNDV1 (workspace) REAL array, dimension (N) */
/* RCNDV1 holds more computed reciprocal condition numbers */
/* for eigenvectors. */
/* RCDVIN (input) REAL array, dimension (N) */
/* When COMP = .TRUE. RCDVIN holds the precomputed reciprocal */
/* condition numbers for eigenvectors to be compared with */
/* RCONDV. */
/* RCONDE (workspace) REAL array, dimension (N) */
/* RCONDE holds the computed reciprocal condition numbers */
/* for eigenvalues. */
/* RCNDE1 (workspace) REAL array, dimension (N) */
/* RCNDE1 holds more computed reciprocal condition numbers */
/* for eigenvalues. */
/* RCDEIN (input) REAL array, dimension (N) */
/* When COMP = .TRUE. RCDEIN holds the precomputed reciprocal */
/* condition numbers for eigenvalues to be compared with */
/* RCONDE. */
/* SCALE (workspace) REAL array, dimension (N) */
/* Holds information describing balancing of matrix. */
/* SCALE1 (workspace) REAL array, dimension (N) */
/* Holds information describing balancing of matrix. */
/* RESULT (output) REAL array, dimension (11) */
/* The values computed by the 11 tests described above. */
/* The values are currently limited to 1/ulp, to avoid */
/* overflow. */
/* WORK (workspace) REAL array, dimension (LWORK) */
/* LWORK (input) INTEGER */
/* The number of entries in WORK. This must be at least */
/* 3*N, and 6*N+N**2 if tests 9, 10 or 11 are to be performed. */
/* IWORK (workspace) INTEGER array, dimension (2*N) */
/* INFO (output) INTEGER */
/* If 0, successful exit. */
/* If <0, input parameter -INFO had an incorrect value. */
/* If >0, SGEEVX returned an error code, the absolute */
/* value of which is returned. */
/* ===================================================================== */
/* .. Parameters .. */
/* .. */
/* .. Local Scalars .. */
/* .. */
/* .. Local Arrays .. */
/* .. */
/* .. External Functions .. */
/* .. */
/* .. External Subroutines .. */
/* .. */
/* .. Intrinsic Functions .. */
/* .. */
/* .. Data statements .. */
/* Parameter adjustments */
--iseed;
h_dim1 = *lda;
h_offset = 1 + h_dim1;
h__ -= h_offset;
a_dim1 = *lda;
a_offset = 1 + a_dim1;
a -= a_offset;
--wr;
--wi;
--wr1;
--wi1;
vl_dim1 = *ldvl;
vl_offset = 1 + vl_dim1;
vl -= vl_offset;
vr_dim1 = *ldvr;
vr_offset = 1 + vr_dim1;
vr -= vr_offset;
lre_dim1 = *ldlre;
lre_offset = 1 + lre_dim1;
lre -= lre_offset;
--rcondv;
--rcndv1;
--rcdvin;
--rconde;
--rcnde1;
--rcdein;
--scale;
--scale1;
--result;
--work;
--iwork;
/* Function Body */
/* .. */
/* .. Executable Statements .. */
/* Check for errors */
nobal = lsame_(balanc, "N");
balok = nobal || lsame_(balanc, "P") || lsame_(
balanc, "S") || lsame_(balanc, "B");
*info = 0;
if (! balok) {
*info = -2;
} else if (*thresh < 0.f) {
*info = -4;
} else if (*nounit <= 0) {
*info = -6;
} else if (*n < 0) {
*info = -7;
} else if (*lda < 1 || *lda < *n) {
*info = -9;
} else if (*ldvl < 1 || *ldvl < *n) {
*info = -16;
} else if (*ldvr < 1 || *ldvr < *n) {
*info = -18;
} else if (*ldlre < 1 || *ldlre < *n) {
*info = -20;
} else if (*lwork < *n * 3 || *comp && *lwork < *n * 6 + *n * *n) {
*info = -31;
}
if (*info != 0) {
i__1 = -(*info);
xerbla_("SGET23", &i__1);
return 0;
}
/* Quick return if nothing to do */
for (i__ = 1; i__ <= 11; ++i__) {
result[i__] = -1.f;
/* L10: */
}
if (*n == 0) {
return 0;
}
/* More Important constants */
ulp = slamch_("Precision");
smlnum = slamch_("S");
ulpinv = 1.f / ulp;
/* Compute eigenvalues and eigenvectors, and test them */
if (*lwork >= *n * 6 + *n * *n) {
*(unsigned char *)sense = 'B';
isensm = 2;
} else {
*(unsigned char *)sense = 'E';
isensm = 1;
}
slacpy_("F", n, n, &a[a_offset], lda, &h__[h_offset], lda);
sgeevx_(balanc, "V", "V", sense, n, &h__[h_offset], lda, &wr[1], &wi[1], &
vl[vl_offset], ldvl, &vr[vr_offset], ldvr, &ilo, &ihi, &scale[1],
&abnrm, &rconde[1], &rcondv[1], &work[1], lwork, &iwork[1], &
iinfo);
if (iinfo != 0) {
result[1] = ulpinv;
if (*jtype != 22) {
io___14.ciunit = *nounit;
s_wsfe(&io___14);
do_fio(&c__1, "SGEEVX1", (ftnlen)7);
do_fio(&c__1, (char *)&iinfo, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&(*n), (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&(*jtype), (ftnlen)sizeof(integer));
do_fio(&c__1, balanc, (ftnlen)1);
do_fio(&c__4, (char *)&iseed[1], (ftnlen)sizeof(integer));
e_wsfe();
} else {
io___15.ciunit = *nounit;
s_wsfe(&io___15);
do_fio(&c__1, "SGEEVX1", (ftnlen)7);
do_fio(&c__1, (char *)&iinfo, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&(*n), (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&iseed[1], (ftnlen)sizeof(integer));
e_wsfe();
}
*info = abs(iinfo);
return 0;
}
/* Do Test (1) */
sget22_("N", "N", "N", n, &a[a_offset], lda, &vr[vr_offset], ldvr, &wr[1],
&wi[1], &work[1], res);
result[1] = res[0];
/* Do Test (2) */
sget22_("T", "N", "T", n, &a[a_offset], lda, &vl[vl_offset], ldvl, &wr[1],
&wi[1], &work[1], res);
result[2] = res[0];
/* Do Test (3) */
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
tnrm = 1.f;
if (wi[j] == 0.f) {
tnrm = snrm2_(n, &vr[j * vr_dim1 + 1], &c__1);
} else if (wi[j] > 0.f) {
r__1 = snrm2_(n, &vr[j * vr_dim1 + 1], &c__1);
r__2 = snrm2_(n, &vr[(j + 1) * vr_dim1 + 1], &c__1);
tnrm = slapy2_(&r__1, &r__2);
}
/* Computing MAX */
/* Computing MIN */
r__4 = ulpinv, r__5 = (r__1 = tnrm - 1.f, dabs(r__1)) / ulp;
r__2 = result[3], r__3 = dmin(r__4,r__5);
result[3] = dmax(r__2,r__3);
if (wi[j] > 0.f) {
vmx = 0.f;
vrmx = 0.f;
i__2 = *n;
for (jj = 1; jj <= i__2; ++jj) {
vtst = slapy2_(&vr[jj + j * vr_dim1], &vr[jj + (j + 1) *
vr_dim1]);
if (vtst > vmx) {
vmx = vtst;
}
if (vr[jj + (j + 1) * vr_dim1] == 0.f && (r__1 = vr[jj + j *
vr_dim1], dabs(r__1)) > vrmx) {
vrmx = (r__2 = vr[jj + j * vr_dim1], dabs(r__2));
}
/* L20: */
}
if (vrmx / vmx < 1.f - ulp * 2.f) {
result[3] = ulpinv;
}
}
/* L30: */
}
/* Do Test (4) */
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
tnrm = 1.f;
if (wi[j] == 0.f) {
tnrm = snrm2_(n, &vl[j * vl_dim1 + 1], &c__1);
} else if (wi[j] > 0.f) {
r__1 = snrm2_(n, &vl[j * vl_dim1 + 1], &c__1);
r__2 = snrm2_(n, &vl[(j + 1) * vl_dim1 + 1], &c__1);
tnrm = slapy2_(&r__1, &r__2);
}
/* Computing MAX */
/* Computing MIN */
r__4 = ulpinv, r__5 = (r__1 = tnrm - 1.f, dabs(r__1)) / ulp;
r__2 = result[4], r__3 = dmin(r__4,r__5);
result[4] = dmax(r__2,r__3);
if (wi[j] > 0.f) {
vmx = 0.f;
vrmx = 0.f;
i__2 = *n;
for (jj = 1; jj <= i__2; ++jj) {
vtst = slapy2_(&vl[jj + j * vl_dim1], &vl[jj + (j + 1) *
vl_dim1]);
if (vtst > vmx) {
vmx = vtst;
}
if (vl[jj + (j + 1) * vl_dim1] == 0.f && (r__1 = vl[jj + j *
vl_dim1], dabs(r__1)) > vrmx) {
vrmx = (r__2 = vl[jj + j * vl_dim1], dabs(r__2));
}
/* L40: */
}
if (vrmx / vmx < 1.f - ulp * 2.f) {
result[4] = ulpinv;
}
}
/* L50: */
}
/* Test for all options of computing condition numbers */
i__1 = isensm;
for (isens = 1; isens <= i__1; ++isens) {
*(unsigned char *)sense = *(unsigned char *)&sens[isens - 1];
/* Compute eigenvalues only, and test them */
slacpy_("F", n, n, &a[a_offset], lda, &h__[h_offset], lda);
sgeevx_(balanc, "N", "N", sense, n, &h__[h_offset], lda, &wr1[1], &
wi1[1], dum, &c__1, dum, &c__1, &ilo1, &ihi1, &scale1[1], &
abnrm1, &rcnde1[1], &rcndv1[1], &work[1], lwork, &iwork[1], &
iinfo);
if (iinfo != 0) {
result[1] = ulpinv;
if (*jtype != 22) {
io___28.ciunit = *nounit;
s_wsfe(&io___28);
do_fio(&c__1, "SGEEVX2", (ftnlen)7);
do_fio(&c__1, (char *)&iinfo, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&(*n), (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&(*jtype), (ftnlen)sizeof(integer));
do_fio(&c__1, balanc, (ftnlen)1);
do_fio(&c__4, (char *)&iseed[1], (ftnlen)sizeof(integer));
e_wsfe();
} else {
io___29.ciunit = *nounit;
s_wsfe(&io___29);
do_fio(&c__1, "SGEEVX2", (ftnlen)7);
do_fio(&c__1, (char *)&iinfo, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&(*n), (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&iseed[1], (ftnlen)sizeof(integer));
e_wsfe();
}
*info = abs(iinfo);
goto L190;
}
/* Do Test (5) */
i__2 = *n;
for (j = 1; j <= i__2; ++j) {
if (wr[j] != wr1[j] || wi[j] != wi1[j]) {
result[5] = ulpinv;
}
/* L60: */
}
/* Do Test (8) */
if (! nobal) {
i__2 = *n;
for (j = 1; j <= i__2; ++j) {
if (scale[j] != scale1[j]) {
result[8] = ulpinv;
}
/* L70: */
}
if (ilo != ilo1) {
result[8] = ulpinv;
}
if (ihi != ihi1) {
result[8] = ulpinv;
}
if (abnrm != abnrm1) {
result[8] = ulpinv;
}
}
/* Do Test (9) */
if (isens == 2 && *n > 1) {
i__2 = *n;
for (j = 1; j <= i__2; ++j) {
if (rcondv[j] != rcndv1[j]) {
result[9] = ulpinv;
}
/* L80: */
}
}
/* Compute eigenvalues and right eigenvectors, and test them */
slacpy_("F", n, n, &a[a_offset], lda, &h__[h_offset], lda);
sgeevx_(balanc, "N", "V", sense, n, &h__[h_offset], lda, &wr1[1], &
wi1[1], dum, &c__1, &lre[lre_offset], ldlre, &ilo1, &ihi1, &
scale1[1], &abnrm1, &rcnde1[1], &rcndv1[1], &work[1], lwork, &
iwork[1], &iinfo);
if (iinfo != 0) {
result[1] = ulpinv;
if (*jtype != 22) {
io___30.ciunit = *nounit;
s_wsfe(&io___30);
do_fio(&c__1, "SGEEVX3", (ftnlen)7);
do_fio(&c__1, (char *)&iinfo, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&(*n), (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&(*jtype), (ftnlen)sizeof(integer));
do_fio(&c__1, balanc, (ftnlen)1);
do_fio(&c__4, (char *)&iseed[1], (ftnlen)sizeof(integer));
e_wsfe();
} else {
io___31.ciunit = *nounit;
s_wsfe(&io___31);
do_fio(&c__1, "SGEEVX3", (ftnlen)7);
do_fio(&c__1, (char *)&iinfo, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&(*n), (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&iseed[1], (ftnlen)sizeof(integer));
e_wsfe();
}
*info = abs(iinfo);
goto L190;
}
/* Do Test (5) again */
i__2 = *n;
for (j = 1; j <= i__2; ++j) {
if (wr[j] != wr1[j] || wi[j] != wi1[j]) {
result[5] = ulpinv;
}
/* L90: */
}
/* Do Test (6) */
i__2 = *n;
for (j = 1; j <= i__2; ++j) {
i__3 = *n;
for (jj = 1; jj <= i__3; ++jj) {
if (vr[j + jj * vr_dim1] != lre[j + jj * lre_dim1]) {
result[6] = ulpinv;
}
/* L100: */
}
/* L110: */
}
/* Do Test (8) again */
if (! nobal) {
i__2 = *n;
for (j = 1; j <= i__2; ++j) {
if (scale[j] != scale1[j]) {
result[8] = ulpinv;
}
/* L120: */
}
if (ilo != ilo1) {
result[8] = ulpinv;
}
if (ihi != ihi1) {
result[8] = ulpinv;
}
if (abnrm != abnrm1) {
result[8] = ulpinv;
}
}
/* Do Test (9) again */
if (isens == 2 && *n > 1) {
i__2 = *n;
for (j = 1; j <= i__2; ++j) {
if (rcondv[j] != rcndv1[j]) {
result[9] = ulpinv;
}
/* L130: */
}
}
/* Compute eigenvalues and left eigenvectors, and test them */
slacpy_("F", n, n, &a[a_offset], lda, &h__[h_offset], lda);
sgeevx_(balanc, "V", "N", sense, n, &h__[h_offset], lda, &wr1[1], &
wi1[1], &lre[lre_offset], ldlre, dum, &c__1, &ilo1, &ihi1, &
scale1[1], &abnrm1, &rcnde1[1], &rcndv1[1], &work[1], lwork, &
iwork[1], &iinfo);
if (iinfo != 0) {
result[1] = ulpinv;
if (*jtype != 22) {
io___32.ciunit = *nounit;
s_wsfe(&io___32);
do_fio(&c__1, "SGEEVX4", (ftnlen)7);
do_fio(&c__1, (char *)&iinfo, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&(*n), (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&(*jtype), (ftnlen)sizeof(integer));
do_fio(&c__1, balanc, (ftnlen)1);
do_fio(&c__4, (char *)&iseed[1], (ftnlen)sizeof(integer));
e_wsfe();
} else {
io___33.ciunit = *nounit;
s_wsfe(&io___33);
do_fio(&c__1, "SGEEVX4", (ftnlen)7);
do_fio(&c__1, (char *)&iinfo, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&(*n), (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&iseed[1], (ftnlen)sizeof(integer));
e_wsfe();
}
*info = abs(iinfo);
goto L190;
}
/* Do Test (5) again */
i__2 = *n;
for (j = 1; j <= i__2; ++j) {
if (wr[j] != wr1[j] || wi[j] != wi1[j]) {
result[5] = ulpinv;
}
/* L140: */
}
/* Do Test (7) */
i__2 = *n;
for (j = 1; j <= i__2; ++j) {
i__3 = *n;
for (jj = 1; jj <= i__3; ++jj) {
if (vl[j + jj * vl_dim1] != lre[j + jj * lre_dim1]) {
result[7] = ulpinv;
}
/* L150: */
}
/* L160: */
}
/* Do Test (8) again */
if (! nobal) {
i__2 = *n;
for (j = 1; j <= i__2; ++j) {
if (scale[j] != scale1[j]) {
result[8] = ulpinv;
}
/* L170: */
}
if (ilo != ilo1) {
result[8] = ulpinv;
}
if (ihi != ihi1) {
result[8] = ulpinv;
}
if (abnrm != abnrm1) {
result[8] = ulpinv;
}
}
/* Do Test (9) again */
if (isens == 2 && *n > 1) {
i__2 = *n;
for (j = 1; j <= i__2; ++j) {
if (rcondv[j] != rcndv1[j]) {
result[9] = ulpinv;
}
/* L180: */
}
}
L190:
/* L200: */
;
}
/* If COMP, compare condition numbers to precomputed ones */
if (*comp) {
slacpy_("F", n, n, &a[a_offset], lda, &h__[h_offset], lda);
sgeevx_("N", "V", "V", "B", n, &h__[h_offset], lda, &wr[1], &wi[1], &
vl[vl_offset], ldvl, &vr[vr_offset], ldvr, &ilo, &ihi, &scale[
1], &abnrm, &rconde[1], &rcondv[1], &work[1], lwork, &iwork[1]
, &iinfo);
if (iinfo != 0) {
result[1] = ulpinv;
io___34.ciunit = *nounit;
s_wsfe(&io___34);
do_fio(&c__1, "SGEEVX5", (ftnlen)7);
do_fio(&c__1, (char *)&iinfo, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&(*n), (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&iseed[1], (ftnlen)sizeof(integer));
e_wsfe();
*info = abs(iinfo);
goto L250;
}
/* Sort eigenvalues and condition numbers lexicographically */
/* to compare with inputs */
i__1 = *n - 1;
for (i__ = 1; i__ <= i__1; ++i__) {
kmin = i__;
vrmin = wr[i__];
vimin = wi[i__];
i__2 = *n;
for (j = i__ + 1; j <= i__2; ++j) {
if (wr[j] < vrmin) {
kmin = j;
vrmin = wr[j];
vimin = wi[j];
}
/* L210: */
}
wr[kmin] = wr[i__];
wi[kmin] = wi[i__];
wr[i__] = vrmin;
wi[i__] = vimin;
vrmin = rconde[kmin];
rconde[kmin] = rconde[i__];
rconde[i__] = vrmin;
vrmin = rcondv[kmin];
rcondv[kmin] = rcondv[i__];
rcondv[i__] = vrmin;
/* L220: */
}
/* Compare condition numbers for eigenvectors */
/* taking their condition numbers into account */
result[10] = 0.f;
eps = dmax(5.9605e-8f,ulp);
/* Computing MAX */
r__1 = (real) (*n) * eps * abnrm;
v = dmax(r__1,smlnum);
if (abnrm == 0.f) {
v = 1.f;
}
i__1 = *n;
for (i__ = 1; i__ <= i__1; ++i__) {
if (v > rcondv[i__] * rconde[i__]) {
tol = rcondv[i__];
} else {
tol = v / rconde[i__];
}
if (v > rcdvin[i__] * rcdein[i__]) {
tolin = rcdvin[i__];
} else {
tolin = v / rcdein[i__];
}
/* Computing MAX */
r__1 = tol, r__2 = smlnum / eps;
tol = dmax(r__1,r__2);
/* Computing MAX */
r__1 = tolin, r__2 = smlnum / eps;
tolin = dmax(r__1,r__2);
if (eps * (rcdvin[i__] - tolin) > rcondv[i__] + tol) {
vmax = 1.f / eps;
} else if (rcdvin[i__] - tolin > rcondv[i__] + tol) {
vmax = (rcdvin[i__] - tolin) / (rcondv[i__] + tol);
} else if (rcdvin[i__] + tolin < eps * (rcondv[i__] - tol)) {
vmax = 1.f / eps;
} else if (rcdvin[i__] + tolin < rcondv[i__] - tol) {
vmax = (rcondv[i__] - tol) / (rcdvin[i__] + tolin);
} else {
vmax = 1.f;
}
result[10] = dmax(result[10],vmax);
/* L230: */
}
/* Compare condition numbers for eigenvalues */
/* taking their condition numbers into account */
result[11] = 0.f;
i__1 = *n;
for (i__ = 1; i__ <= i__1; ++i__) {
if (v > rcondv[i__]) {
tol = 1.f;
} else {
tol = v / rcondv[i__];
}
if (v > rcdvin[i__]) {
tolin = 1.f;
} else {
tolin = v / rcdvin[i__];
}
/* Computing MAX */
r__1 = tol, r__2 = smlnum / eps;
tol = dmax(r__1,r__2);
/* Computing MAX */
r__1 = tolin, r__2 = smlnum / eps;
tolin = dmax(r__1,r__2);
if (eps * (rcdein[i__] - tolin) > rconde[i__] + tol) {
vmax = 1.f / eps;
} else if (rcdein[i__] - tolin > rconde[i__] + tol) {
vmax = (rcdein[i__] - tolin) / (rconde[i__] + tol);
} else if (rcdein[i__] + tolin < eps * (rconde[i__] - tol)) {
vmax = 1.f / eps;
} else if (rcdein[i__] + tolin < rconde[i__] - tol) {
vmax = (rconde[i__] - tol) / (rcdein[i__] + tolin);
} else {
vmax = 1.f;
}
result[11] = dmax(result[11],vmax);
/* L240: */
}
L250:
;
}
return 0;
/* End of SGET23 */
} /* sget23_ */
