GURLS_EXPORT void eig(const gMat2D<float>& A, gVec<float>& Wr, gVec<float>& Wi)
{
if (A.cols() != A.rows())
throw gException("The input matrix A must be squared");
float* Atmp = new float[A.getSize()];
copy(Atmp, A.getData(), A.getSize());
char jobvl = 'N', jobvr = 'N';
int n = A.cols(), lda = A.cols(), ldvl = 1, ldvr = 1;
int info, lwork = 4*n;
float* work = new float[lwork];
sgeev_(&jobvl, &jobvr, &n, Atmp, &lda, Wr.getData(), Wi.getData(), NULL, &ldvl, NULL, &ldvr, work, &lwork, &info);
delete[] Atmp;
delete[] work;
if(info != 0)
{
std::stringstream str;
str << "Eigenvalues/eigenVectors computation failed, error code " << info << ";" << std::endl;
throw gException(str.str());
}
}
void THLapack_(geev)(char jobvl, char jobvr, int n, real *a, int lda, real *wr, real *wi, real* vl, int ldvl, real *vr, int ldvr, real *work, int lwork, int *info)
{
#ifdef USE_LAPACK
#if defined(TH_REAL_IS_DOUBLE)
dgeev_(&jobvl, &jobvr, &n, a, &lda, wr, wi, vl, &ldvl, vr, &ldvr, work, &lwork, info);
#else
sgeev_(&jobvl, &jobvr, &n, a, &lda, wr, wi, vl, &ldvl, vr, &ldvr, work, &lwork, info);
#endif
#else
THError("geev : Lapack library not found in compile time\n");
#endif
}
GURLS_EXPORT void eig(const gMat2D<float>& A, gVec<float>& Wr, gVec<float>& Wi) {
if (A.cols() != A.rows()) {
throw gException("The input matrix A must be squared");
}
char jobvl = 'N', jobvr = 'N';
int n = A.cols(), lda = A.cols(), ldvl = 1, ldvr = 1;
int info, lwork = 4*n;
float* work = new float[lwork];
sgeev_(&jobvl, &jobvr, &n, const_cast<gMat2D<float>&>(A).getData(), &lda, Wr.getData(), Wi.getData(), NULL, &ldvl, NULL, &ldvr, work, &lwork, &info);
delete[] work;
}
void THLapack_(geev)(char jobvl, char jobvr, int n, real *a, int lda, real *wr, real *wi, real* vl, int ldvl, real *vr, int ldvr, real *work, int lwork, int *info)
{
#ifdef USE_LAPACK
#if defined(TH_REAL_IS_DOUBLE)
extern void dgeev_(char *jobvl, char *jobvr, int *n, double *a, int *lda, double *wr, double *wi, double* vl, int *ldvl, double *vr, int *ldvr, double *work, int *lwork, int *info);
dgeev_(&jobvl, &jobvr, &n, a, &lda, wr, wi, vl, &ldvl, vr, &ldvr, work, &lwork, info);
#else
extern void sgeev_(char *jobvl, char *jobvr, int *n, float *a, int *lda, float *wr, float *wi, float* vl, int *ldvl, float *vr, int *ldvr, float *work, int *lwork, int *info);
sgeev_(&jobvl, &jobvr, &n, a, &lda, wr, wi, vl, &ldvl, vr, &ldvr, work, &lwork, info);
#endif
#else
THError("geev : Lapack library not found in compile time\n");
#endif
}
GURLS_EXPORT void eig(const gMat2D<float>& A, gMat2D<float>& V, gVec<float>& Wr, gVec<float>& Wi) {
if (A.cols() != A.rows()) {
throw gException("The input matrix A must be squared");
}
char jobvl = 'N', jobvr = 'V';
int n = A.cols(), lda = A.cols(), ldvl = 1, ldvr = A.cols();
int info, lwork = 4*n;
float* work = new float[lwork];
gMat2D<float> Atmp = A;
gMat2D<float> Vtmp = V;
sgeev_(&jobvl, &jobvr, &n, Atmp.getData(), &lda, Wr.getData(), Wi.getData(), NULL, &ldvl, Vtmp.getData(), &ldvr, work, &lwork, &info);
Vtmp.transpose(V);
delete[] work;
}
/*============================================================================
* get_eigen_values
*
* Compute the eigen values for the matrix M using the LAPACK routine sgeev.
* The return value is the return value of this function and will be zero
* on success.
*==========================================================================*/
int __sgeev_ (char jobvl, char jobvr, int n, float *a,
int lda, float *wr, float *wi, float *vl, int ldvl, float *vr,
int ldvr, float *work, int lwork)
{
integer info;
sgeev_((char *)&jobvl,
(char *)&jobvr,
(integer *)&n,
(real *)a,
(integer *)&lda,
(real *)wr,
(real *)wi,
(real *)vl,
(integer *)&ldvl,
(real *)vr,
(integer *)&ldvr,
(real *)work,
(integer *)&lwork,
(integer *)&info);
return info;
}
/* 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 sdrvev_(integer *nsizes, integer *nn, integer *ntypes,
logical *dotype, integer *iseed, real *thresh, integer *nounit, 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 *result, real *work, integer *nwork, integer *iwork,
integer *info)
{
/* Initialized data */
static integer ktype[21] = { 1,2,3,4,4,4,4,4,6,6,6,6,6,6,6,6,6,6,9,9,9 };
static integer kmagn[21] = { 1,1,1,1,1,1,2,3,1,1,1,1,1,1,1,1,2,3,1,2,3 };
static integer kmode[21] = { 0,0,0,4,3,1,4,4,4,3,1,5,4,3,1,5,5,5,4,3,1 };
static integer kconds[21] = { 0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,0,0,0 };
/* Format strings */
static char fmt_9993[] = "(\002 SDRVEV: \002,a,\002 returned INFO=\002,i"
"6,\002.\002,/9x,\002N=\002,i6,\002, JTYPE=\002,i6,\002, ISEED="
"(\002,3(i5,\002,\002),i5,\002)\002)";
static char fmt_9999[] = "(/1x,a3,\002 -- Real Eigenvalue-Eigenvector De"
"composition\002,\002 Driver\002,/\002 Matrix types (see SDRVEV f"
"or details): \002)";
static char fmt_9998[] = "(/\002 Special Matrices:\002,/\002 1=Zero mat"
"rix. \002,\002 \002,\002 5=Diagonal: geom"
"etr. spaced entries.\002,/\002 2=Identity matrix. "
" \002,\002 6=Diagona\002,\002l: clustered entries.\002,"
"/\002 3=Transposed Jordan block. \002,\002 \002,\002 "
" 7=Diagonal: large, evenly spaced.\002,/\002 \002,\0024=Diagona"
"l: evenly spaced entries. \002,\002 8=Diagonal: s\002,\002ma"
"ll, evenly spaced.\002)";
static char fmt_9997[] = "(\002 Dense, Non-Symmetric Matrices:\002,/\002"
" 9=Well-cond., ev\002,\002enly spaced eigenvals.\002,\002 14=Il"
"l-cond., geomet. spaced e\002,\002igenals.\002,/\002 10=Well-con"
"d., geom. spaced eigenvals. \002,\002 15=Ill-conditioned, cluste"
"red e.vals.\002,/\002 11=Well-cond\002,\002itioned, clustered e."
"vals. \002,\002 16=Ill-cond., random comp\002,\002lex \002,/\002"
" 12=Well-cond., random complex \002,6x,\002 \002,\002 17=Ill-c"
"ond., large rand. complx \002,/\002 13=Ill-condi\002,\002tioned,"
" evenly spaced. \002,\002 18=Ill-cond., small rand.\002,\002"
" complx \002)";
static char fmt_9996[] = "(\002 19=Matrix with random O(1) entries. "
" \002,\002 21=Matrix \002,\002with small random entries.\002,"
"/\002 20=Matrix with large ran\002,\002dom entries. \002,/)";
static char fmt_9995[] = "(\002 Tests performed with test threshold ="
"\002,f8.2,//\002 1 = | A VR - VR W | / ( n |A| ulp ) \002,/\002 "
"2 = | transpose(A) VL - VL W | / ( n |A| ulp ) \002,/\002 3 = | "
"|VR(i)| - 1 | / ulp \002,/\002 4 = | |VL(i)| - 1 | / ulp \002,"
"/\002 5 = 0 if W same no matter if VR or VL computed,\002,\002 1"
"/ulp otherwise\002,/\002 6 = 0 if VR same no matter if VL comput"
"ed,\002,\002 1/ulp otherwise\002,/\002 7 = 0 if VL same no matt"
"er if VR computed,\002,\002 1/ulp otherwise\002,/)";
static char fmt_9994[] = "(\002 N=\002,i5,\002, IWK=\002,i2,\002, seed"
"=\002,4(i4,\002,\002),\002 type \002,i2,\002, test(\002,i2,\002)="
"\002,g10.3)";
/* 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, i__4;
real r__1, r__2, r__3, r__4, r__5;
/* Local variables */
integer j, n, jj;
real dum[1], res[2];
integer iwk;
real ulp, vmx, cond;
integer jcol;
char path[3];
integer nmax;
real unfl, ovfl, tnrm, vrmx, vtst;
extern doublereal snrm2_(integer *, real *, integer *);
logical badnn;
integer nfail, imode, iinfo;
real conds;
extern /* Subroutine */ int sget22_(char *, char *, char *, integer *,
real *, integer *, real *, integer *, real *, real *, real *,
real *), sgeev_(char *, char *, integer *,
real *, integer *, real *, real *, real *, integer *, real *,
integer *, real *, integer *, integer *);
real anorm;
integer jsize, nerrs, itype, jtype, ntest;
real rtulp;
extern doublereal slapy2_(real *, real *);
extern /* Subroutine */ int slabad_(real *, real *);
char adumma[1*1];
extern doublereal slamch_(char *);
integer idumma[1];
integer ioldsd[4];
extern /* Subroutine */ int slatme_(integer *, char *, integer *, real *,
integer *, real *, real *, char *, char *, char *, char *, real *,
integer *, real *, integer *, integer *, real *, real *, integer
*, real *, integer *),
slacpy_(char *, integer *, integer *, real *, integer *, real *,
integer *), slaset_(char *, integer *, integer *, real *,
real *, real *, integer *), slatmr_(integer *, integer *,
char *, integer *, char *, real *, integer *, real *, real *,
char *, char *, real *, integer *, real *, real *, integer *,
real *, char *, integer *, integer *, integer *, real *, real *,
char *, real *, integer *, integer *, integer *);
integer ntestf;
extern /* Subroutine */ int slasum_(char *, integer *, integer *, integer
*), slatms_(integer *, integer *, char *, integer *, char
*, real *, integer *, real *, real *, integer *, integer *, char *
, real *, integer *, real *, integer *);
real ulpinv;
integer nnwork;
real rtulpi;
integer mtypes, ntestt;
/* Fortran I/O blocks */
static cilist io___32 = { 0, 0, 0, fmt_9993, 0 };
static cilist io___35 = { 0, 0, 0, fmt_9993, 0 };
static cilist io___43 = { 0, 0, 0, fmt_9993, 0 };
static cilist io___44 = { 0, 0, 0, fmt_9993, 0 };
static cilist io___45 = { 0, 0, 0, fmt_9993, 0 };
static cilist io___48 = { 0, 0, 0, fmt_9999, 0 };
static cilist io___49 = { 0, 0, 0, fmt_9998, 0 };
static cilist io___50 = { 0, 0, 0, fmt_9997, 0 };
static cilist io___51 = { 0, 0, 0, fmt_9996, 0 };
static cilist io___52 = { 0, 0, 0, fmt_9995, 0 };
static cilist io___53 = { 0, 0, 0, fmt_9994, 0 };
/* -- LAPACK test routine (version 3.1) -- */
/* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */
/* November 2006 */
/* .. Scalar Arguments .. */
/* .. */
/* .. Array Arguments .. */
/* .. */
/* Purpose */
/* ======= */
/* SDRVEV checks the nonsymmetric eigenvalue problem driver SGEEV. */
/* When SDRVEV is called, a number of matrix "sizes" ("n's") and a */
/* number of matrix "types" are specified. For each size ("n") */
/* and each type of matrix, one matrix will be generated and used */
/* to test the nonsymmetric eigenroutines. For each matrix, 7 */
/* 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 whether largest component real */
/* VR(i) denotes the i-th column of VR. */
/* (4) | |VL(i)| - 1 | / ulp and whether largest component real */
/* VL(i) denotes the i-th column of VL. */
/* (5) W(full) = W(partial) */
/* W(full) denotes the eigenvalues computed when both VR and VL */
/* are also computed, and W(partial) denotes the eigenvalues */
/* computed when only W, only W and VR, or only W and VL are */
/* computed. */
/* (6) VR(full) = VR(partial) */
/* VR(full) denotes the right eigenvectors computed when both VR */
/* and VL are computed, and VR(partial) denotes the result */
/* when only VR is computed. */
/* (7) VL(full) = VL(partial) */
/* VL(full) denotes the left eigenvectors computed when both VR */
/* and VL are also computed, and VL(partial) denotes the result */
/* when only VL is computed. */
/* The "sizes" are specified by an array NN(1:NSIZES); the value of */
/* each element NN(j) specifies one size. */
/* The "types" are specified by a logical array DOTYPE( 1:NTYPES ); */
/* if DOTYPE(j) is .TRUE., then matrix type "j" will be generated. */
/* Currently, the list of possible types is: */
/* (1) The zero matrix. */
/* (2) The identity matrix. */
/* (3) A (transposed) Jordan block, with 1's on the diagonal. */
/* (4) A diagonal matrix with evenly spaced entries */
/* 1, ..., ULP and random signs. */
/* (ULP = (first number larger than 1) - 1 ) */
/* (5) A diagonal matrix with geometrically spaced entries */
/* 1, ..., ULP and random signs. */
/* (6) A diagonal matrix with "clustered" entries 1, ULP, ..., ULP */
/* and random signs. */
/* (7) Same as (4), but multiplied by a constant near */
/* the overflow threshold */
/* (8) Same as (4), but multiplied by a constant near */
/* the underflow threshold */
/* (9) A matrix of the form U' T U, where U is orthogonal and */
/* T has evenly spaced entries 1, ..., ULP with random signs */
/* on the diagonal and random O(1) entries in the upper */
/* triangle. */
/* (10) A matrix of the form U' T U, where U is orthogonal and */
/* T has geometrically spaced entries 1, ..., ULP with random */
/* signs on the diagonal and random O(1) entries in the upper */
/* triangle. */
/* (11) A matrix of the form U' T U, where U is orthogonal and */
/* T has "clustered" entries 1, ULP,..., ULP with random */
/* signs on the diagonal and random O(1) entries in the upper */
/* triangle. */
/* (12) A matrix of the form U' T U, where U is orthogonal and */
/* T has real or complex conjugate paired eigenvalues randomly */
/* chosen from ( ULP, 1 ) and random O(1) entries in the upper */
/* triangle. */
/* (13) A matrix of the form X' T X, where X has condition */
/* SQRT( ULP ) and T has evenly spaced entries 1, ..., ULP */
/* with random signs on the diagonal and random O(1) entries */
/* in the upper triangle. */
/* (14) A matrix of the form X' T X, where X has condition */
/* SQRT( ULP ) and T has geometrically spaced entries */
/* 1, ..., ULP with random signs on the diagonal and random */
/* O(1) entries in the upper triangle. */
/* (15) A matrix of the form X' T X, where X has condition */
/* SQRT( ULP ) and T has "clustered" entries 1, ULP,..., ULP */
/* with random signs on the diagonal and random O(1) entries */
/* in the upper triangle. */
/* (16) A matrix of the form X' T X, where X has condition */
/* SQRT( ULP ) and T has real or complex conjugate paired */
/* eigenvalues randomly chosen from ( ULP, 1 ) and random */
/* O(1) entries in the upper triangle. */
/* (17) Same as (16), but multiplied by a constant */
/* near the overflow threshold */
/* (18) Same as (16), but multiplied by a constant */
/* near the underflow threshold */
/* (19) Nonsymmetric matrix with random entries chosen from (-1,1). */
/* If N is at least 4, all entries in first two rows and last */
/* row, and first column and last two columns are zero. */
/* (20) Same as (19), but multiplied by a constant */
/* near the overflow threshold */
/* (21) Same as (19), but multiplied by a constant */
/* near the underflow threshold */
/* Arguments */
/* ========== */
/* NSIZES (input) INTEGER */
/* The number of sizes of matrices to use. If it is zero, */
/* SDRVEV does nothing. It must be at least zero. */
/* NN (input) INTEGER array, dimension (NSIZES) */
/* An array containing the sizes to be used for the matrices. */
/* Zero values will be skipped. The values must be at least */
/* zero. */
/* NTYPES (input) INTEGER */
/* The number of elements in DOTYPE. If it is zero, SDRVEV */
/* does nothing. It must be at least zero. If it is MAXTYP+1 */
/* and NSIZES is 1, then an additional type, MAXTYP+1 is */
/* defined, which is to use whatever matrix is in A. This */
/* is only useful if DOTYPE(1:MAXTYP) is .FALSE. and */
/* DOTYPE(MAXTYP+1) is .TRUE. . */
/* DOTYPE (input) LOGICAL array, dimension (NTYPES) */
/* If DOTYPE(j) is .TRUE., then for each size in NN a */
/* matrix of that size and of type j will be generated. */
/* If NTYPES is smaller than the maximum number of types */
/* defined (PARAMETER MAXTYP), then types NTYPES+1 through */
/* MAXTYP will not be generated. If NTYPES is larger */
/* than MAXTYP, DOTYPE(MAXTYP+1) through DOTYPE(NTYPES) */
/* will be ignored. */
/* ISEED (input/output) INTEGER array, dimension (4) */
/* On entry ISEED specifies the seed of the random number */
/* generator. The array elements should be between 0 and 4095; */
/* if not they will be reduced mod 4096. Also, ISEED(4) must */
/* be odd. The random number generator uses a linear */
/* congruential sequence limited to small integers, and so */
/* should produce machine independent random numbers. The */
/* values of ISEED are changed on exit, and can be used in the */
/* next call to SDRVEV to continue the same random number */
/* sequence. */
/* 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. */
/* NOUNIT (input) INTEGER */
/* The FORTRAN unit number for printing out error messages */
/* (e.g., if a routine returns INFO not equal to 0.) */
/* A (workspace) REAL array, dimension (LDA, max(NN)) */
/* Used to hold the matrix whose eigenvalues are to be */
/* computed. On exit, A contains the last matrix actually used. */
/* LDA (input) INTEGER */
/* The leading dimension of A, and H. LDA must be at */
/* least 1 and at least max(NN). */
/* H (workspace) REAL array, dimension (LDA, max(NN)) */
/* Another copy of the test matrix A, modified by SGEEV. */
/* WR (workspace) REAL array, dimension (max(NN)) */
/* WI (workspace) REAL array, dimension (max(NN)) */
/* 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 (max(NN)) */
/* WI1 (workspace) REAL array, dimension (max(NN)) */
/* Like WR, WI, these arrays contain the eigenvalues of A, */
/* but those computed when SGEEV only computes a partial */
/* eigendecomposition, i.e. not the eigenvalues and left */
/* and right eigenvectors. */
/* VL (workspace) REAL array, dimension (LDVL, max(NN)) */
/* VL holds the computed left eigenvectors. */
/* LDVL (input) INTEGER */
/* Leading dimension of VL. Must be at least max(1,max(NN)). */
/* VR (workspace) REAL array, dimension (LDVR, max(NN)) */
/* VR holds the computed right eigenvectors. */
/* LDVR (input) INTEGER */
/* Leading dimension of VR. Must be at least max(1,max(NN)). */
/* LRE (workspace) REAL array, dimension (LDLRE,max(NN)) */
/* LRE holds the computed right or left eigenvectors. */
/* LDLRE (input) INTEGER */
/* Leading dimension of LRE. Must be at least max(1,max(NN)). */
/* RESULT (output) REAL array, dimension (7) */
/* The values computed by the seven tests described above. */
/* The values are currently limited to 1/ulp, to avoid overflow. */
/* WORK (workspace) REAL array, dimension (NWORK) */
/* NWORK (input) INTEGER */
/* The number of entries in WORK. This must be at least */
/* 5*NN(j)+2*NN(j)**2 for all j. */
/* IWORK (workspace) INTEGER array, dimension (max(NN)) */
/* INFO (output) INTEGER */
/* If 0, then everything ran OK. */
/* -1: NSIZES < 0 */
/* -2: Some NN(j) < 0 */
/* -3: NTYPES < 0 */
/* -6: THRESH < 0 */
/* -9: LDA < 1 or LDA < NMAX, where NMAX is max( NN(j) ). */
/* -16: LDVL < 1 or LDVL < NMAX, where NMAX is max( NN(j) ). */
/* -18: LDVR < 1 or LDVR < NMAX, where NMAX is max( NN(j) ). */
/* -20: LDLRE < 1 or LDLRE < NMAX, where NMAX is max( NN(j) ). */
/* -23: NWORK too small. */
/* If SLATMR, SLATMS, SLATME or SGEEV returns an error code, */
/* the absolute value of it is returned. */
/* ----------------------------------------------------------------------- */
/* Some Local Variables and Parameters: */
/* ---- ----- --------- --- ---------- */
/* ZERO, ONE Real 0 and 1. */
/* MAXTYP The number of types defined. */
/* NMAX Largest value in NN. */
/* NERRS The number of tests which have exceeded THRESH */
/* COND, CONDS, */
/* IMODE Values to be passed to the matrix generators. */
/* ANORM Norm of A; passed to matrix generators. */
/* OVFL, UNFL Overflow and underflow thresholds. */
/* ULP, ULPINV Finest relative precision and its inverse. */
/* RTULP, RTULPI Square roots of the previous 4 values. */
/* The following four arrays decode JTYPE: */
/* KTYPE(j) The general type (1-10) for type "j". */
/* KMODE(j) The MODE value to be passed to the matrix */
/* generator for type "j". */
/* KMAGN(j) The order of magnitude ( O(1), */
/* O(overflow^(1/2) ), O(underflow^(1/2) ) */
/* KCONDS(j) Selectw whether CONDS is to be 1 or */
/* 1/sqrt(ulp). (0 means irrelevant.) */
/* ===================================================================== */
/* .. Parameters .. */
/* .. */
/* .. Local Scalars .. */
/* .. */
/* .. Local Arrays .. */
/* .. */
/* .. External Functions .. */
/* .. */
/* .. External Subroutines .. */
/* .. */
/* .. Intrinsic Functions .. */
/* .. */
/* .. Data statements .. */
/* Parameter adjustments */
--nn;
--dotype;
--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;
--result;
--work;
--iwork;
/* Function Body */
/* .. */
/* .. Executable Statements .. */
s_copy(path, "Single precision", (ftnlen)1, (ftnlen)16);
s_copy(path + 1, "EV", (ftnlen)2, (ftnlen)2);
/* Check for errors */
ntestt = 0;
ntestf = 0;
*info = 0;
/* Important constants */
badnn = FALSE_;
nmax = 0;
i__1 = *nsizes;
for (j = 1; j <= i__1; ++j) {
/* Computing MAX */
i__2 = nmax, i__3 = nn[j];
nmax = max(i__2,i__3);
if (nn[j] < 0) {
badnn = TRUE_;
}
/* L10: */
}
/* Check for errors */
if (*nsizes < 0) {
*info = -1;
} else if (badnn) {
*info = -2;
} else if (*ntypes < 0) {
*info = -3;
} else if (*thresh < 0.f) {
*info = -6;
} else if (*nounit <= 0) {
*info = -7;
} else if (*lda < 1 || *lda < nmax) {
*info = -9;
} else if (*ldvl < 1 || *ldvl < nmax) {
*info = -16;
} else if (*ldvr < 1 || *ldvr < nmax) {
*info = -18;
} else if (*ldlre < 1 || *ldlre < nmax) {
*info = -20;
} else /* if(complicated condition) */ {
/* Computing 2nd power */
i__1 = nmax;
if (nmax * 5 + (i__1 * i__1 << 1) > *nwork) {
*info = -23;
}
}
if (*info != 0) {
i__1 = -(*info);
xerbla_("SDRVEV", &i__1);
return 0;
}
/* Quick return if nothing to do */
if (*nsizes == 0 || *ntypes == 0) {
return 0;
}
/* More Important constants */
unfl = slamch_("Safe minimum");
ovfl = 1.f / unfl;
slabad_(&unfl, &ovfl);
ulp = slamch_("Precision");
ulpinv = 1.f / ulp;
rtulp = sqrt(ulp);
rtulpi = 1.f / rtulp;
/* Loop over sizes, types */
nerrs = 0;
i__1 = *nsizes;
for (jsize = 1; jsize <= i__1; ++jsize) {
n = nn[jsize];
if (*nsizes != 1) {
mtypes = min(21,*ntypes);
} else {
mtypes = min(22,*ntypes);
}
i__2 = mtypes;
for (jtype = 1; jtype <= i__2; ++jtype) {
if (! dotype[jtype]) {
goto L260;
}
/* Save ISEED in case of an error. */
for (j = 1; j <= 4; ++j) {
ioldsd[j - 1] = iseed[j];
/* L20: */
}
/* Compute "A" */
/* Control parameters: */
/* KMAGN KCONDS KMODE KTYPE */
/* =1 O(1) 1 clustered 1 zero */
/* =2 large large clustered 2 identity */
/* =3 small exponential Jordan */
/* =4 arithmetic diagonal, (w/ eigenvalues) */
/* =5 random log symmetric, w/ eigenvalues */
/* =6 random general, w/ eigenvalues */
/* =7 random diagonal */
/* =8 random symmetric */
/* =9 random general */
/* =10 random triangular */
if (mtypes > 21) {
goto L90;
}
itype = ktype[jtype - 1];
imode = kmode[jtype - 1];
/* Compute norm */
switch (kmagn[jtype - 1]) {
case 1: goto L30;
case 2: goto L40;
case 3: goto L50;
}
L30:
anorm = 1.f;
goto L60;
L40:
anorm = ovfl * ulp;
goto L60;
L50:
anorm = unfl * ulpinv;
goto L60;
L60:
slaset_("Full", lda, &n, &c_b17, &c_b17, &a[a_offset], lda);
iinfo = 0;
cond = ulpinv;
/* Special Matrices -- Identity & Jordan block */
/* Zero */
if (itype == 1) {
iinfo = 0;
} else if (itype == 2) {
/* Identity */
i__3 = n;
for (jcol = 1; jcol <= i__3; ++jcol) {
a[jcol + jcol * a_dim1] = anorm;
/* L70: */
}
} else if (itype == 3) {
/* Jordan Block */
i__3 = n;
for (jcol = 1; jcol <= i__3; ++jcol) {
a[jcol + jcol * a_dim1] = anorm;
if (jcol > 1) {
a[jcol + (jcol - 1) * a_dim1] = 1.f;
}
/* L80: */
}
} else if (itype == 4) {
/* Diagonal Matrix, [Eigen]values Specified */
slatms_(&n, &n, "S", &iseed[1], "S", &work[1], &imode, &cond,
&anorm, &c__0, &c__0, "N", &a[a_offset], lda, &work[n
+ 1], &iinfo);
} else if (itype == 5) {
/* Symmetric, eigenvalues specified */
slatms_(&n, &n, "S", &iseed[1], "S", &work[1], &imode, &cond,
&anorm, &n, &n, "N", &a[a_offset], lda, &work[n + 1],
&iinfo);
} else if (itype == 6) {
/* General, eigenvalues specified */
if (kconds[jtype - 1] == 1) {
conds = 1.f;
} else if (kconds[jtype - 1] == 2) {
conds = rtulpi;
} else {
conds = 0.f;
}
*(unsigned char *)&adumma[0] = ' ';
slatme_(&n, "S", &iseed[1], &work[1], &imode, &cond, &c_b31,
adumma, "T", "T", "T", &work[n + 1], &c__4, &conds, &
n, &n, &anorm, &a[a_offset], lda, &work[(n << 1) + 1],
&iinfo);
} else if (itype == 7) {
/* Diagonal, random eigenvalues */
slatmr_(&n, &n, "S", &iseed[1], "S", &work[1], &c__6, &c_b31,
&c_b31, "T", "N", &work[n + 1], &c__1, &c_b31, &work[(
n << 1) + 1], &c__1, &c_b31, "N", idumma, &c__0, &
c__0, &c_b17, &anorm, "NO", &a[a_offset], lda, &iwork[
1], &iinfo);
} else if (itype == 8) {
/* Symmetric, random eigenvalues */
slatmr_(&n, &n, "S", &iseed[1], "S", &work[1], &c__6, &c_b31,
&c_b31, "T", "N", &work[n + 1], &c__1, &c_b31, &work[(
n << 1) + 1], &c__1, &c_b31, "N", idumma, &n, &n, &
c_b17, &anorm, "NO", &a[a_offset], lda, &iwork[1], &
iinfo);
} else if (itype == 9) {
/* General, random eigenvalues */
slatmr_(&n, &n, "S", &iseed[1], "N", &work[1], &c__6, &c_b31,
&c_b31, "T", "N", &work[n + 1], &c__1, &c_b31, &work[(
n << 1) + 1], &c__1, &c_b31, "N", idumma, &n, &n, &
c_b17, &anorm, "NO", &a[a_offset], lda, &iwork[1], &
iinfo);
if (n >= 4) {
slaset_("Full", &c__2, &n, &c_b17, &c_b17, &a[a_offset],
lda);
i__3 = n - 3;
slaset_("Full", &i__3, &c__1, &c_b17, &c_b17, &a[a_dim1 +
3], lda);
i__3 = n - 3;
slaset_("Full", &i__3, &c__2, &c_b17, &c_b17, &a[(n - 1) *
a_dim1 + 3], lda);
slaset_("Full", &c__1, &n, &c_b17, &c_b17, &a[n + a_dim1],
lda);
}
} else if (itype == 10) {
/* Triangular, random eigenvalues */
slatmr_(&n, &n, "S", &iseed[1], "N", &work[1], &c__6, &c_b31,
&c_b31, "T", "N", &work[n + 1], &c__1, &c_b31, &work[(
n << 1) + 1], &c__1, &c_b31, "N", idumma, &n, &c__0, &
c_b17, &anorm, "NO", &a[a_offset], lda, &iwork[1], &
iinfo);
} else {
iinfo = 1;
}
if (iinfo != 0) {
io___32.ciunit = *nounit;
s_wsfe(&io___32);
do_fio(&c__1, "Generator", (ftnlen)9);
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__4, (char *)&ioldsd[0], (ftnlen)sizeof(integer));
e_wsfe();
*info = abs(iinfo);
return 0;
}
L90:
/* Test for minimal and generous workspace */
for (iwk = 1; iwk <= 2; ++iwk) {
if (iwk == 1) {
nnwork = n << 2;
} else {
/* Computing 2nd power */
i__3 = n;
nnwork = n * 5 + (i__3 * i__3 << 1);
}
nnwork = max(nnwork,1);
/* Initialize RESULT */
for (j = 1; j <= 7; ++j) {
result[j] = -1.f;
/* L100: */
}
/* Compute eigenvalues and eigenvectors, and test them */
slacpy_("F", &n, &n, &a[a_offset], lda, &h__[h_offset], lda);
sgeev_("V", "V", &n, &h__[h_offset], lda, &wr[1], &wi[1], &vl[
vl_offset], ldvl, &vr[vr_offset], ldvr, &work[1], &
nnwork, &iinfo);
if (iinfo != 0) {
result[1] = ulpinv;
io___35.ciunit = *nounit;
s_wsfe(&io___35);
do_fio(&c__1, "SGEEV1", (ftnlen)6);
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__4, (char *)&ioldsd[0], (ftnlen)sizeof(integer))
;
e_wsfe();
*info = abs(iinfo);
goto L220;
}
/* 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__3 = n;
for (j = 1; j <= i__3; ++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__4 = n;
for (jj = 1; jj <= i__4; ++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));
}
/* L110: */
}
if (vrmx / vmx < 1.f - ulp * 2.f) {
result[3] = ulpinv;
}
}
/* L120: */
}
/* Do Test (4) */
i__3 = n;
for (j = 1; j <= i__3; ++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__4 = n;
for (jj = 1; jj <= i__4; ++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));
}
/* L130: */
}
if (vrmx / vmx < 1.f - ulp * 2.f) {
result[4] = ulpinv;
}
}
/* L140: */
}
/* Compute eigenvalues only, and test them */
slacpy_("F", &n, &n, &a[a_offset], lda, &h__[h_offset], lda);
sgeev_("N", "N", &n, &h__[h_offset], lda, &wr1[1], &wi1[1],
dum, &c__1, dum, &c__1, &work[1], &nnwork, &iinfo);
if (iinfo != 0) {
result[1] = ulpinv;
io___43.ciunit = *nounit;
s_wsfe(&io___43);
do_fio(&c__1, "SGEEV2", (ftnlen)6);
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__4, (char *)&ioldsd[0], (ftnlen)sizeof(integer))
;
e_wsfe();
*info = abs(iinfo);
goto L220;
}
/* Do Test (5) */
i__3 = n;
for (j = 1; j <= i__3; ++j) {
if (wr[j] != wr1[j] || wi[j] != wi1[j]) {
result[5] = ulpinv;
}
/* L150: */
}
/* Compute eigenvalues and right eigenvectors, and test them */
slacpy_("F", &n, &n, &a[a_offset], lda, &h__[h_offset], lda);
sgeev_("N", "V", &n, &h__[h_offset], lda, &wr1[1], &wi1[1],
dum, &c__1, &lre[lre_offset], ldlre, &work[1], &
nnwork, &iinfo);
if (iinfo != 0) {
result[1] = ulpinv;
io___44.ciunit = *nounit;
s_wsfe(&io___44);
do_fio(&c__1, "SGEEV3", (ftnlen)6);
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__4, (char *)&ioldsd[0], (ftnlen)sizeof(integer))
;
e_wsfe();
*info = abs(iinfo);
goto L220;
}
/* Do Test (5) again */
i__3 = n;
for (j = 1; j <= i__3; ++j) {
if (wr[j] != wr1[j] || wi[j] != wi1[j]) {
result[5] = ulpinv;
}
/* L160: */
}
/* Do Test (6) */
i__3 = n;
for (j = 1; j <= i__3; ++j) {
i__4 = n;
for (jj = 1; jj <= i__4; ++jj) {
if (vr[j + jj * vr_dim1] != lre[j + jj * lre_dim1]) {
result[6] = ulpinv;
}
/* L170: */
}
/* L180: */
}
/* Compute eigenvalues and left eigenvectors, and test them */
slacpy_("F", &n, &n, &a[a_offset], lda, &h__[h_offset], lda);
sgeev_("V", "N", &n, &h__[h_offset], lda, &wr1[1], &wi1[1], &
lre[lre_offset], ldlre, dum, &c__1, &work[1], &nnwork,
&iinfo);
if (iinfo != 0) {
result[1] = ulpinv;
io___45.ciunit = *nounit;
s_wsfe(&io___45);
do_fio(&c__1, "SGEEV4", (ftnlen)6);
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__4, (char *)&ioldsd[0], (ftnlen)sizeof(integer))
;
e_wsfe();
*info = abs(iinfo);
goto L220;
}
/* Do Test (5) again */
i__3 = n;
for (j = 1; j <= i__3; ++j) {
if (wr[j] != wr1[j] || wi[j] != wi1[j]) {
result[5] = ulpinv;
}
/* L190: */
}
/* Do Test (7) */
i__3 = n;
for (j = 1; j <= i__3; ++j) {
i__4 = n;
for (jj = 1; jj <= i__4; ++jj) {
if (vl[j + jj * vl_dim1] != lre[j + jj * lre_dim1]) {
result[7] = ulpinv;
}
/* L200: */
}
/* L210: */
}
/* End of Loop -- Check for RESULT(j) > THRESH */
L220:
ntest = 0;
nfail = 0;
for (j = 1; j <= 7; ++j) {
if (result[j] >= 0.f) {
++ntest;
}
if (result[j] >= *thresh) {
++nfail;
}
/* L230: */
}
if (nfail > 0) {
++ntestf;
}
if (ntestf == 1) {
io___48.ciunit = *nounit;
s_wsfe(&io___48);
do_fio(&c__1, path, (ftnlen)3);
e_wsfe();
io___49.ciunit = *nounit;
s_wsfe(&io___49);
e_wsfe();
io___50.ciunit = *nounit;
s_wsfe(&io___50);
e_wsfe();
io___51.ciunit = *nounit;
s_wsfe(&io___51);
e_wsfe();
io___52.ciunit = *nounit;
s_wsfe(&io___52);
do_fio(&c__1, (char *)&(*thresh), (ftnlen)sizeof(real));
e_wsfe();
ntestf = 2;
}
for (j = 1; j <= 7; ++j) {
if (result[j] >= *thresh) {
io___53.ciunit = *nounit;
s_wsfe(&io___53);
do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&iwk, (ftnlen)sizeof(integer));
do_fio(&c__4, (char *)&ioldsd[0], (ftnlen)sizeof(
integer));
do_fio(&c__1, (char *)&jtype, (ftnlen)sizeof(integer))
;
do_fio(&c__1, (char *)&j, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&result[j], (ftnlen)sizeof(real)
);
e_wsfe();
}
/* L240: */
}
nerrs += nfail;
ntestt += ntest;
/* L250: */
}
L260:
;
}
/* L270: */
}
/* Summary */
slasum_(path, nounit, &nerrs, &ntestt);
return 0;
/* End of SDRVEV */
} /* sdrvev_ */
