/* Subroutine */ int dget24_(logical *comp, integer *jtype, doublereal *
thresh, integer *iseed, integer *nounit, integer *n, doublereal *a,
integer *lda, doublereal *h__, doublereal *ht, doublereal *wr,
doublereal *wi, doublereal *wrt, doublereal *wit, doublereal *wrtmp,
doublereal *witmp, doublereal *vs, integer *ldvs, doublereal *vs1,
doublereal *rcdein, doublereal *rcdvin, integer *nslct, integer *
islct, doublereal *result, doublereal *work, integer *lwork, integer *
iwork, logical *bwork, integer *info)
{
/* Format strings */
static char fmt_9998[] = "(\002 DGET24: \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[] = "(\002 DGET24: \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, ht_dim1, ht_offset, vs_dim1,
vs_offset, vs1_dim1, vs1_offset, i__1, i__2;
doublereal d__1, d__2, d__3, d__4;
/* Builtin functions */
integer s_wsfe(cilist *), do_fio(integer *, char *, ftnlen), e_wsfe(void);
double d_sign(doublereal *, doublereal *), sqrt(doublereal);
/* Local variables */
integer i__, j;
doublereal v, eps, tol, tmp, ulp;
integer sdim, kmin, itmp, ipnt[20], rsub;
char sort[1];
integer sdim1;
extern /* Subroutine */ int dgemm_(char *, char *, integer *, integer *,
integer *, doublereal *, doublereal *, integer *, doublereal *,
integer *, doublereal *, doublereal *, integer *);
integer iinfo;
extern /* Subroutine */ int dort01_(char *, integer *, integer *,
doublereal *, integer *, doublereal *, integer *, doublereal *);
doublereal anorm;
extern /* Subroutine */ int dcopy_(integer *, doublereal *, integer *,
doublereal *, integer *);
doublereal vimin, tolin, vrmin;
integer isort;
doublereal wnorm, rcnde1, rcndv1;
extern doublereal dlamch_(char *), dlange_(char *, integer *,
integer *, doublereal *, integer *, doublereal *);
doublereal rconde;
extern /* Subroutine */ int dlacpy_(char *, integer *, integer *,
doublereal *, integer *, doublereal *, integer *);
extern logical dslect_(doublereal *, doublereal *);
extern /* Subroutine */ int dgeesx_(char *, char *, L_fp, char *, integer
*, doublereal *, integer *, integer *, doublereal *, doublereal *,
doublereal *, integer *, doublereal *, doublereal *, doublereal *
, integer *, integer *, integer *, logical *, integer *), xerbla_(char *, integer *);
integer knteig;
doublereal rcondv;
integer liwork;
doublereal smlnum, ulpinv;
/* Fortran I/O blocks */
static cilist io___13 = { 0, 0, 0, fmt_9998, 0 };
static cilist io___14 = { 0, 0, 0, fmt_9999, 0 };
static cilist io___19 = { 0, 0, 0, fmt_9998, 0 };
static cilist io___20 = { 0, 0, 0, fmt_9999, 0 };
static cilist io___23 = { 0, 0, 0, fmt_9998, 0 };
static cilist io___24 = { 0, 0, 0, fmt_9999, 0 };
static cilist io___27 = { 0, 0, 0, fmt_9998, 0 };
static cilist io___28 = { 0, 0, 0, fmt_9999, 0 };
static cilist io___29 = { 0, 0, 0, fmt_9998, 0 };
static cilist io___30 = { 0, 0, 0, fmt_9999, 0 };
static cilist io___31 = { 0, 0, 0, fmt_9998, 0 };
static cilist io___32 = { 0, 0, 0, fmt_9999, 0 };
static cilist io___33 = { 0, 0, 0, fmt_9998, 0 };
static cilist io___34 = { 0, 0, 0, fmt_9999, 0 };
static cilist io___35 = { 0, 0, 0, fmt_9998, 0 };
static cilist io___36 = { 0, 0, 0, fmt_9999, 0 };
static cilist io___43 = { 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 */
/* ======= */
/* DGET24 checks the nonsymmetric eigenvalue (Schur form) problem */
/* expert driver DGEESX. */
/* If COMP = .FALSE., the first 13 of the following tests will be */
/* be performed on the input matrix A, and also tests 14 and 15 */
/* if LWORK is sufficiently large. */
/* If COMP = .TRUE., all 17 test will be performed. */
/* (1) 0 if T is in Schur form, 1/ulp otherwise */
/* (no sorting of eigenvalues) */
/* (2) | A - VS T VS' | / ( n |A| ulp ) */
/* Here VS is the matrix of Schur eigenvectors, and T is in Schur */
/* form (no sorting of eigenvalues). */
/* (3) | I - VS VS' | / ( n ulp ) (no sorting of eigenvalues). */
/* (4) 0 if WR+sqrt(-1)*WI are eigenvalues of T */
/* 1/ulp otherwise */
/* (no sorting of eigenvalues) */
/* (5) 0 if T(with VS) = T(without VS), */
/* 1/ulp otherwise */
/* (no sorting of eigenvalues) */
/* (6) 0 if eigenvalues(with VS) = eigenvalues(without VS), */
/* 1/ulp otherwise */
/* (no sorting of eigenvalues) */
/* (7) 0 if T is in Schur form, 1/ulp otherwise */
/* (with sorting of eigenvalues) */
/* (8) | A - VS T VS' | / ( n |A| ulp ) */
/* Here VS is the matrix of Schur eigenvectors, and T is in Schur */
/* form (with sorting of eigenvalues). */
/* (9) | I - VS VS' | / ( n ulp ) (with sorting of eigenvalues). */
/* (10) 0 if WR+sqrt(-1)*WI are eigenvalues of T */
/* 1/ulp otherwise */
/* If workspace sufficient, also compare WR, WI with and */
/* without reciprocal condition numbers */
/* (with sorting of eigenvalues) */
/* (11) 0 if T(with VS) = T(without VS), */
/* 1/ulp otherwise */
/* If workspace sufficient, also compare T with and without */
/* reciprocal condition numbers */
/* (with sorting of eigenvalues) */
/* (12) 0 if eigenvalues(with VS) = eigenvalues(without VS), */
/* 1/ulp otherwise */
/* If workspace sufficient, also compare VS with and without */
/* reciprocal condition numbers */
/* (with sorting of eigenvalues) */
/* (13) if sorting worked and SDIM is the number of */
/* eigenvalues which were SELECTed */
/* If workspace sufficient, also compare SDIM with and */
/* without reciprocal condition numbers */
/* (14) if RCONDE the same no matter if VS and/or RCONDV computed */
/* (15) if RCONDV the same no matter if VS and/or RCONDE computed */
/* (16) |RCONDE - RCDEIN| / cond(RCONDE) */
/* RCONDE is the reciprocal average eigenvalue condition number */
/* computed by DGEESX 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. */
/* (17) |RCONDV - RCDVIN| / cond(RCONDV) */
/* RCONDV is the reciprocal right invariant subspace condition */
/* number computed by DGEESX 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. */
/* 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 */
/* JTYPE (input) INTEGER */
/* Type of input matrix. Used to label output if error occurs. */
/* 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. */
/* THRESH (input) DOUBLE PRECISION */
/* 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.) */
/* N (input) INTEGER */
/* The dimension of A. N must be at least 0. */
/* A (input/output) DOUBLE PRECISION 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) DOUBLE PRECISION array, dimension (LDA, N) */
/* Another copy of the test matrix A, modified by DGEESX. */
/* HT (workspace) DOUBLE PRECISION array, dimension (LDA, N) */
/* Yet another copy of the test matrix A, modified by DGEESX. */
/* WR (workspace) DOUBLE PRECISION array, dimension (N) */
/* WI (workspace) DOUBLE PRECISION 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. */
/* WRT (workspace) DOUBLE PRECISION array, dimension (N) */
/* WIT (workspace) DOUBLE PRECISION array, dimension (N) */
/* Like WR, WI, these arrays contain the eigenvalues of A, */
/* but those computed when DGEESX only computes a partial */
/* eigendecomposition, i.e. not Schur vectors */
/* WRTMP (workspace) DOUBLE PRECISION array, dimension (N) */
/* WITMP (workspace) DOUBLE PRECISION array, dimension (N) */
/* Like WR, WI, these arrays contain the eigenvalues of A, */
/* but sorted by increasing real part. */
/* VS (workspace) DOUBLE PRECISION array, dimension (LDVS, N) */
/* VS holds the computed Schur vectors. */
/* LDVS (input) INTEGER */
/* Leading dimension of VS. Must be at least max(1, N). */
/* VS1 (workspace) DOUBLE PRECISION array, dimension (LDVS, N) */
/* VS1 holds another copy of the computed Schur vectors. */
/* RCDEIN (input) DOUBLE PRECISION */
/* When COMP = .TRUE. RCDEIN holds the precomputed reciprocal */
/* condition number for the average of selected eigenvalues. */
/* RCDVIN (input) DOUBLE PRECISION */
/* When COMP = .TRUE. RCDVIN holds the precomputed reciprocal */
/* condition number for the selected right invariant subspace. */
/* NSLCT (input) INTEGER */
/* When COMP = .TRUE. the number of selected eigenvalues */
/* corresponding to the precomputed values RCDEIN and RCDVIN. */
/* ISLCT (input) INTEGER array, dimension (NSLCT) */
/* When COMP = .TRUE. ISLCT selects the eigenvalues of the */
/* input matrix corresponding to the precomputed values RCDEIN */
/* and RCDVIN. For I=1, ... ,NSLCT, if ISLCT(I) = J, then the */
/* eigenvalue with the J-th largest real part is selected. */
/* Not referenced if COMP = .FALSE. */
/* RESULT (output) DOUBLE PRECISION array, dimension (17) */
/* The values computed by the 17 tests described above. */
/* The values are currently limited to 1/ulp, to avoid */
/* overflow. */
/* WORK (workspace) DOUBLE PRECISION array, dimension (LWORK) */
/* LWORK (input) INTEGER */
/* The number of entries in WORK to be passed to DGEESX. This */
/* must be at least 3*N, and N+N**2 if tests 14--16 are to */
/* be performed. */
/* IWORK (workspace) INTEGER array, dimension (N*N) */
/* BWORK (workspace) LOGICAL array, dimension (N) */
/* INFO (output) INTEGER */
/* If 0, successful exit. */
/* If <0, input parameter -INFO had an incorrect value. */
/* If >0, DGEESX returned an error code, the absolute */
/* value of which is returned. */
/* ===================================================================== */
/* .. Parameters .. */
/* .. */
/* .. Local Scalars .. */
/* .. */
/* .. Local Arrays .. */
/* .. */
/* .. Arrays in Common .. */
/* .. */
/* .. Scalars in Common .. */
/* .. */
/* .. Common blocks .. */
/* .. */
/* .. External Functions .. */
/* .. */
/* .. External Subroutines .. */
/* .. */
/* .. Intrinsic Functions .. */
/* .. */
/* .. Executable Statements .. */
/* Check for errors */
/* Parameter adjustments */
--iseed;
ht_dim1 = *lda;
ht_offset = 1 + ht_dim1;
ht -= ht_offset;
h_dim1 = *lda;
h_offset = 1 + h_dim1;
h__ -= h_offset;
a_dim1 = *lda;
a_offset = 1 + a_dim1;
a -= a_offset;
--wr;
--wi;
--wrt;
--wit;
--wrtmp;
--witmp;
vs1_dim1 = *ldvs;
vs1_offset = 1 + vs1_dim1;
vs1 -= vs1_offset;
vs_dim1 = *ldvs;
vs_offset = 1 + vs_dim1;
vs -= vs_offset;
--islct;
--result;
--work;
--iwork;
--bwork;
/* Function Body */
*info = 0;
if (*thresh < 0.) {
*info = -3;
} else if (*nounit <= 0) {
*info = -5;
} else if (*n < 0) {
*info = -6;
} else if (*lda < 1 || *lda < *n) {
*info = -8;
} else if (*ldvs < 1 || *ldvs < *n) {
*info = -18;
} else if (*lwork < *n * 3) {
*info = -26;
}
if (*info != 0) {
i__1 = -(*info);
xerbla_("DGET24", &i__1);
return 0;
}
/* Quick return if nothing to do */
for (i__ = 1; i__ <= 17; ++i__) {
result[i__] = -1.;
/* L10: */
}
if (*n == 0) {
return 0;
}
/* Important constants */
smlnum = dlamch_("Safe minimum");
ulp = dlamch_("Precision");
ulpinv = 1. / ulp;
/* Perform tests (1)-(13) */
sslct_1.selopt = 0;
liwork = *n * *n;
for (isort = 0; isort <= 1; ++isort) {
if (isort == 0) {
*(unsigned char *)sort = 'N';
rsub = 0;
} else {
*(unsigned char *)sort = 'S';
rsub = 6;
}
/* Compute Schur form and Schur vectors, and test them */
dlacpy_("F", n, n, &a[a_offset], lda, &h__[h_offset], lda);
dgeesx_("V", sort, (L_fp)dslect_, "N", n, &h__[h_offset], lda, &sdim,
&wr[1], &wi[1], &vs[vs_offset], ldvs, &rconde, &rcondv, &work[
1], lwork, &iwork[1], &liwork, &bwork[1], &iinfo);
if (iinfo != 0 && iinfo != *n + 2) {
result[rsub + 1] = ulpinv;
if (*jtype != 22) {
io___13.ciunit = *nounit;
s_wsfe(&io___13);
do_fio(&c__1, "DGEESX1", (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__4, (char *)&iseed[1], (ftnlen)sizeof(integer));
e_wsfe();
} else {
io___14.ciunit = *nounit;
s_wsfe(&io___14);
do_fio(&c__1, "DGEESX1", (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;
}
if (isort == 0) {
dcopy_(n, &wr[1], &c__1, &wrtmp[1], &c__1);
dcopy_(n, &wi[1], &c__1, &witmp[1], &c__1);
}
/* Do Test (1) or Test (7) */
result[rsub + 1] = 0.;
i__1 = *n - 2;
for (j = 1; j <= i__1; ++j) {
i__2 = *n;
for (i__ = j + 2; i__ <= i__2; ++i__) {
if (h__[i__ + j * h_dim1] != 0.) {
result[rsub + 1] = ulpinv;
}
/* L20: */
}
/* L30: */
}
i__1 = *n - 2;
for (i__ = 1; i__ <= i__1; ++i__) {
if (h__[i__ + 1 + i__ * h_dim1] != 0. && h__[i__ + 2 + (i__ + 1) *
h_dim1] != 0.) {
result[rsub + 1] = ulpinv;
}
/* L40: */
}
i__1 = *n - 1;
for (i__ = 1; i__ <= i__1; ++i__) {
if (h__[i__ + 1 + i__ * h_dim1] != 0.) {
if (h__[i__ + i__ * h_dim1] != h__[i__ + 1 + (i__ + 1) *
h_dim1] || h__[i__ + (i__ + 1) * h_dim1] == 0. ||
d_sign(&c_b35, &h__[i__ + 1 + i__ * h_dim1]) ==
d_sign(&c_b35, &h__[i__ + (i__ + 1) * h_dim1])) {
result[rsub + 1] = ulpinv;
}
}
/* L50: */
}
/* Test (2) or (8): Compute norm(A - Q*H*Q') / (norm(A) * N * ULP) */
/* Copy A to VS1, used as workspace */
dlacpy_(" ", n, n, &a[a_offset], lda, &vs1[vs1_offset], ldvs);
/* Compute Q*H and store in HT. */
dgemm_("No transpose", "No transpose", n, n, n, &c_b35, &vs[vs_offset]
, ldvs, &h__[h_offset], lda, &c_b41, &ht[ht_offset], lda);
/* Compute A - Q*H*Q' */
dgemm_("No transpose", "Transpose", n, n, n, &c_b44, &ht[ht_offset],
lda, &vs[vs_offset], ldvs, &c_b35, &vs1[vs1_offset], ldvs);
/* Computing MAX */
d__1 = dlange_("1", n, n, &a[a_offset], lda, &work[1]);
anorm = max(d__1,smlnum);
wnorm = dlange_("1", n, n, &vs1[vs1_offset], ldvs, &work[1]);
if (anorm > wnorm) {
result[rsub + 2] = wnorm / anorm / (*n * ulp);
} else {
if (anorm < 1.) {
/* Computing MIN */
d__1 = wnorm, d__2 = *n * anorm;
result[rsub + 2] = min(d__1,d__2) / anorm / (*n * ulp);
} else {
/* Computing MIN */
d__1 = wnorm / anorm, d__2 = (doublereal) (*n);
result[rsub + 2] = min(d__1,d__2) / (*n * ulp);
}
}
/* Test (3) or (9): Compute norm( I - Q'*Q ) / ( N * ULP ) */
dort01_("Columns", n, n, &vs[vs_offset], ldvs, &work[1], lwork, &
result[rsub + 3]);
/* Do Test (4) or Test (10) */
result[rsub + 4] = 0.;
i__1 = *n;
for (i__ = 1; i__ <= i__1; ++i__) {
if (h__[i__ + i__ * h_dim1] != wr[i__]) {
result[rsub + 4] = ulpinv;
}
/* L60: */
}
if (*n > 1) {
if (h__[h_dim1 + 2] == 0. && wi[1] != 0.) {
result[rsub + 4] = ulpinv;
}
if (h__[*n + (*n - 1) * h_dim1] == 0. && wi[*n] != 0.) {
result[rsub + 4] = ulpinv;
}
}
i__1 = *n - 1;
for (i__ = 1; i__ <= i__1; ++i__) {
if (h__[i__ + 1 + i__ * h_dim1] != 0.) {
tmp = sqrt((d__1 = h__[i__ + 1 + i__ * h_dim1], abs(d__1))) *
sqrt((d__2 = h__[i__ + (i__ + 1) * h_dim1], abs(d__2))
);
/* Computing MAX */
/* Computing MAX */
d__4 = ulp * tmp;
d__2 = result[rsub + 4], d__3 = (d__1 = wi[i__] - tmp, abs(
d__1)) / max(d__4,smlnum);
result[rsub + 4] = max(d__2,d__3);
/* Computing MAX */
/* Computing MAX */
d__4 = ulp * tmp;
d__2 = result[rsub + 4], d__3 = (d__1 = wi[i__ + 1] + tmp,
abs(d__1)) / max(d__4,smlnum);
result[rsub + 4] = max(d__2,d__3);
} else if (i__ > 1) {
if (h__[i__ + 1 + i__ * h_dim1] == 0. && h__[i__ + (i__ - 1) *
h_dim1] == 0. && wi[i__] != 0.) {
result[rsub + 4] = ulpinv;
}
}
/* L70: */
}
/* Do Test (5) or Test (11) */
dlacpy_("F", n, n, &a[a_offset], lda, &ht[ht_offset], lda);
dgeesx_("N", sort, (L_fp)dslect_, "N", n, &ht[ht_offset], lda, &sdim,
&wrt[1], &wit[1], &vs[vs_offset], ldvs, &rconde, &rcondv, &
work[1], lwork, &iwork[1], &liwork, &bwork[1], &iinfo);
if (iinfo != 0 && iinfo != *n + 2) {
result[rsub + 5] = ulpinv;
if (*jtype != 22) {
io___19.ciunit = *nounit;
s_wsfe(&io___19);
do_fio(&c__1, "DGEESX2", (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__4, (char *)&iseed[1], (ftnlen)sizeof(integer));
e_wsfe();
} else {
io___20.ciunit = *nounit;
s_wsfe(&io___20);
do_fio(&c__1, "DGEESX2", (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;
}
result[rsub + 5] = 0.;
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
i__2 = *n;
for (i__ = 1; i__ <= i__2; ++i__) {
if (h__[i__ + j * h_dim1] != ht[i__ + j * ht_dim1]) {
result[rsub + 5] = ulpinv;
}
/* L80: */
}
/* L90: */
}
/* Do Test (6) or Test (12) */
result[rsub + 6] = 0.;
i__1 = *n;
for (i__ = 1; i__ <= i__1; ++i__) {
if (wr[i__] != wrt[i__] || wi[i__] != wit[i__]) {
result[rsub + 6] = ulpinv;
}
/* L100: */
}
/* Do Test (13) */
if (isort == 1) {
result[13] = 0.;
knteig = 0;
i__1 = *n;
for (i__ = 1; i__ <= i__1; ++i__) {
d__1 = -wi[i__];
if (dslect_(&wr[i__], &wi[i__]) || dslect_(&wr[i__], &d__1)) {
++knteig;
}
if (i__ < *n) {
d__1 = -wi[i__ + 1];
d__2 = -wi[i__];
if ((dslect_(&wr[i__ + 1], &wi[i__ + 1]) || dslect_(&wr[
i__ + 1], &d__1)) && ! (dslect_(&wr[i__], &wi[i__]
) || dslect_(&wr[i__], &d__2)) && iinfo != *n + 2)
{
result[13] = ulpinv;
}
}
/* L110: */
}
if (sdim != knteig) {
result[13] = ulpinv;
}
}
/* L120: */
}
/* If there is enough workspace, perform tests (14) and (15) */
/* as well as (10) through (13) */
if (*lwork >= *n + *n * *n / 2) {
/* Compute both RCONDE and RCONDV with VS */
*(unsigned char *)sort = 'S';
result[14] = 0.;
result[15] = 0.;
dlacpy_("F", n, n, &a[a_offset], lda, &ht[ht_offset], lda);
dgeesx_("V", sort, (L_fp)dslect_, "B", n, &ht[ht_offset], lda, &sdim1,
&wrt[1], &wit[1], &vs1[vs1_offset], ldvs, &rconde, &rcondv, &
work[1], lwork, &iwork[1], &liwork, &bwork[1], &iinfo);
if (iinfo != 0 && iinfo != *n + 2) {
result[14] = ulpinv;
result[15] = ulpinv;
if (*jtype != 22) {
io___23.ciunit = *nounit;
s_wsfe(&io___23);
do_fio(&c__1, "DGEESX3", (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__4, (char *)&iseed[1], (ftnlen)sizeof(integer));
e_wsfe();
} else {
io___24.ciunit = *nounit;
s_wsfe(&io___24);
do_fio(&c__1, "DGEESX3", (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;
}
/* Perform tests (10), (11), (12), and (13) */
i__1 = *n;
for (i__ = 1; i__ <= i__1; ++i__) {
if (wr[i__] != wrt[i__] || wi[i__] != wit[i__]) {
result[10] = ulpinv;
}
i__2 = *n;
for (j = 1; j <= i__2; ++j) {
if (h__[i__ + j * h_dim1] != ht[i__ + j * ht_dim1]) {
result[11] = ulpinv;
}
if (vs[i__ + j * vs_dim1] != vs1[i__ + j * vs1_dim1]) {
result[12] = ulpinv;
}
/* L130: */
}
/* L140: */
}
if (sdim != sdim1) {
result[13] = ulpinv;
}
/* Compute both RCONDE and RCONDV without VS, and compare */
dlacpy_("F", n, n, &a[a_offset], lda, &ht[ht_offset], lda);
dgeesx_("N", sort, (L_fp)dslect_, "B", n, &ht[ht_offset], lda, &sdim1,
&wrt[1], &wit[1], &vs1[vs1_offset], ldvs, &rcnde1, &rcndv1, &
work[1], lwork, &iwork[1], &liwork, &bwork[1], &iinfo);
if (iinfo != 0 && iinfo != *n + 2) {
result[14] = ulpinv;
result[15] = ulpinv;
if (*jtype != 22) {
io___27.ciunit = *nounit;
s_wsfe(&io___27);
do_fio(&c__1, "DGEESX4", (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__4, (char *)&iseed[1], (ftnlen)sizeof(integer));
e_wsfe();
} else {
io___28.ciunit = *nounit;
s_wsfe(&io___28);
do_fio(&c__1, "DGEESX4", (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;
}
/* Perform tests (14) and (15) */
if (rcnde1 != rconde) {
result[14] = ulpinv;
}
if (rcndv1 != rcondv) {
result[15] = ulpinv;
}
/* Perform tests (10), (11), (12), and (13) */
i__1 = *n;
for (i__ = 1; i__ <= i__1; ++i__) {
if (wr[i__] != wrt[i__] || wi[i__] != wit[i__]) {
result[10] = ulpinv;
}
i__2 = *n;
for (j = 1; j <= i__2; ++j) {
if (h__[i__ + j * h_dim1] != ht[i__ + j * ht_dim1]) {
result[11] = ulpinv;
}
if (vs[i__ + j * vs_dim1] != vs1[i__ + j * vs1_dim1]) {
result[12] = ulpinv;
}
/* L150: */
}
/* L160: */
}
if (sdim != sdim1) {
result[13] = ulpinv;
}
/* Compute RCONDE with VS, and compare */
dlacpy_("F", n, n, &a[a_offset], lda, &ht[ht_offset], lda);
dgeesx_("V", sort, (L_fp)dslect_, "E", n, &ht[ht_offset], lda, &sdim1,
&wrt[1], &wit[1], &vs1[vs1_offset], ldvs, &rcnde1, &rcndv1, &
work[1], lwork, &iwork[1], &liwork, &bwork[1], &iinfo);
if (iinfo != 0 && iinfo != *n + 2) {
result[14] = ulpinv;
if (*jtype != 22) {
io___29.ciunit = *nounit;
s_wsfe(&io___29);
do_fio(&c__1, "DGEESX5", (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__4, (char *)&iseed[1], (ftnlen)sizeof(integer));
e_wsfe();
} else {
io___30.ciunit = *nounit;
s_wsfe(&io___30);
do_fio(&c__1, "DGEESX5", (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;
}
/* Perform test (14) */
if (rcnde1 != rconde) {
result[14] = ulpinv;
}
/* Perform tests (10), (11), (12), and (13) */
i__1 = *n;
for (i__ = 1; i__ <= i__1; ++i__) {
if (wr[i__] != wrt[i__] || wi[i__] != wit[i__]) {
result[10] = ulpinv;
}
i__2 = *n;
for (j = 1; j <= i__2; ++j) {
if (h__[i__ + j * h_dim1] != ht[i__ + j * ht_dim1]) {
result[11] = ulpinv;
}
if (vs[i__ + j * vs_dim1] != vs1[i__ + j * vs1_dim1]) {
result[12] = ulpinv;
}
/* L170: */
}
/* L180: */
}
if (sdim != sdim1) {
result[13] = ulpinv;
}
/* Compute RCONDE without VS, and compare */
dlacpy_("F", n, n, &a[a_offset], lda, &ht[ht_offset], lda);
dgeesx_("N", sort, (L_fp)dslect_, "E", n, &ht[ht_offset], lda, &sdim1,
&wrt[1], &wit[1], &vs1[vs1_offset], ldvs, &rcnde1, &rcndv1, &
work[1], lwork, &iwork[1], &liwork, &bwork[1], &iinfo);
if (iinfo != 0 && iinfo != *n + 2) {
result[14] = ulpinv;
if (*jtype != 22) {
io___31.ciunit = *nounit;
s_wsfe(&io___31);
do_fio(&c__1, "DGEESX6", (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__4, (char *)&iseed[1], (ftnlen)sizeof(integer));
e_wsfe();
} else {
io___32.ciunit = *nounit;
s_wsfe(&io___32);
do_fio(&c__1, "DGEESX6", (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;
}
/* Perform test (14) */
if (rcnde1 != rconde) {
result[14] = ulpinv;
}
/* Perform tests (10), (11), (12), and (13) */
i__1 = *n;
for (i__ = 1; i__ <= i__1; ++i__) {
if (wr[i__] != wrt[i__] || wi[i__] != wit[i__]) {
result[10] = ulpinv;
}
i__2 = *n;
for (j = 1; j <= i__2; ++j) {
if (h__[i__ + j * h_dim1] != ht[i__ + j * ht_dim1]) {
result[11] = ulpinv;
}
if (vs[i__ + j * vs_dim1] != vs1[i__ + j * vs1_dim1]) {
result[12] = ulpinv;
}
/* L190: */
}
/* L200: */
}
if (sdim != sdim1) {
result[13] = ulpinv;
}
/* Compute RCONDV with VS, and compare */
dlacpy_("F", n, n, &a[a_offset], lda, &ht[ht_offset], lda);
dgeesx_("V", sort, (L_fp)dslect_, "V", n, &ht[ht_offset], lda, &sdim1,
&wrt[1], &wit[1], &vs1[vs1_offset], ldvs, &rcnde1, &rcndv1, &
work[1], lwork, &iwork[1], &liwork, &bwork[1], &iinfo);
if (iinfo != 0 && iinfo != *n + 2) {
result[15] = ulpinv;
if (*jtype != 22) {
io___33.ciunit = *nounit;
s_wsfe(&io___33);
do_fio(&c__1, "DGEESX7", (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__4, (char *)&iseed[1], (ftnlen)sizeof(integer));
e_wsfe();
} else {
io___34.ciunit = *nounit;
s_wsfe(&io___34);
do_fio(&c__1, "DGEESX7", (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;
}
/* Perform test (15) */
if (rcndv1 != rcondv) {
result[15] = ulpinv;
}
/* Perform tests (10), (11), (12), and (13) */
i__1 = *n;
for (i__ = 1; i__ <= i__1; ++i__) {
if (wr[i__] != wrt[i__] || wi[i__] != wit[i__]) {
result[10] = ulpinv;
}
i__2 = *n;
for (j = 1; j <= i__2; ++j) {
if (h__[i__ + j * h_dim1] != ht[i__ + j * ht_dim1]) {
result[11] = ulpinv;
}
if (vs[i__ + j * vs_dim1] != vs1[i__ + j * vs1_dim1]) {
result[12] = ulpinv;
}
/* L210: */
}
/* L220: */
}
if (sdim != sdim1) {
result[13] = ulpinv;
}
/* Compute RCONDV without VS, and compare */
dlacpy_("F", n, n, &a[a_offset], lda, &ht[ht_offset], lda);
dgeesx_("N", sort, (L_fp)dslect_, "V", n, &ht[ht_offset], lda, &sdim1,
&wrt[1], &wit[1], &vs1[vs1_offset], ldvs, &rcnde1, &rcndv1, &
work[1], lwork, &iwork[1], &liwork, &bwork[1], &iinfo);
if (iinfo != 0 && iinfo != *n + 2) {
result[15] = ulpinv;
if (*jtype != 22) {
io___35.ciunit = *nounit;
s_wsfe(&io___35);
do_fio(&c__1, "DGEESX8", (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__4, (char *)&iseed[1], (ftnlen)sizeof(integer));
e_wsfe();
} else {
io___36.ciunit = *nounit;
s_wsfe(&io___36);
do_fio(&c__1, "DGEESX8", (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;
}
/* Perform test (15) */
if (rcndv1 != rcondv) {
result[15] = ulpinv;
}
/* Perform tests (10), (11), (12), and (13) */
i__1 = *n;
for (i__ = 1; i__ <= i__1; ++i__) {
if (wr[i__] != wrt[i__] || wi[i__] != wit[i__]) {
result[10] = ulpinv;
}
i__2 = *n;
for (j = 1; j <= i__2; ++j) {
if (h__[i__ + j * h_dim1] != ht[i__ + j * ht_dim1]) {
result[11] = ulpinv;
}
if (vs[i__ + j * vs_dim1] != vs1[i__ + j * vs1_dim1]) {
result[12] = ulpinv;
}
/* L230: */
}
/* L240: */
}
if (sdim != sdim1) {
result[13] = ulpinv;
}
}
L250:
/* If there are precomputed reciprocal condition numbers, compare */
/* computed values with them. */
if (*comp) {
/* First set up SELOPT, SELDIM, SELVAL, SELWR, and SELWI so that */
/* the logical function DSLECT selects the eigenvalues specified */
/* by NSLCT and ISLCT. */
sslct_1.seldim = *n;
sslct_1.selopt = 1;
eps = max(ulp,5.9605e-8);
i__1 = *n;
for (i__ = 1; i__ <= i__1; ++i__) {
ipnt[i__ - 1] = i__;
sslct_1.selval[i__ - 1] = FALSE_;
sslct_1.selwr[i__ - 1] = wrtmp[i__];
sslct_1.selwi[i__ - 1] = witmp[i__];
/* L260: */
}
i__1 = *n - 1;
for (i__ = 1; i__ <= i__1; ++i__) {
kmin = i__;
vrmin = wrtmp[i__];
vimin = witmp[i__];
i__2 = *n;
for (j = i__ + 1; j <= i__2; ++j) {
if (wrtmp[j] < vrmin) {
kmin = j;
vrmin = wrtmp[j];
vimin = witmp[j];
}
/* L270: */
}
wrtmp[kmin] = wrtmp[i__];
witmp[kmin] = witmp[i__];
wrtmp[i__] = vrmin;
witmp[i__] = vimin;
itmp = ipnt[i__ - 1];
ipnt[i__ - 1] = ipnt[kmin - 1];
ipnt[kmin - 1] = itmp;
/* L280: */
}
i__1 = *nslct;
for (i__ = 1; i__ <= i__1; ++i__) {
sslct_1.selval[ipnt[islct[i__] - 1] - 1] = TRUE_;
/* L290: */
}
/* Compute condition numbers */
dlacpy_("F", n, n, &a[a_offset], lda, &ht[ht_offset], lda);
dgeesx_("N", "S", (L_fp)dslect_, "B", n, &ht[ht_offset], lda, &sdim1,
&wrt[1], &wit[1], &vs1[vs1_offset], ldvs, &rconde, &rcondv, &
work[1], lwork, &iwork[1], &liwork, &bwork[1], &iinfo);
if (iinfo != 0 && iinfo != *n + 2) {
result[16] = ulpinv;
result[17] = ulpinv;
io___43.ciunit = *nounit;
s_wsfe(&io___43);
do_fio(&c__1, "DGEESX9", (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 L300;
}
/* Compare condition number for average of selected eigenvalues */
/* taking its condition number into account */
anorm = dlange_("1", n, n, &a[a_offset], lda, &work[1]);
/* Computing MAX */
d__1 = (doublereal) (*n) * eps * anorm;
v = max(d__1,smlnum);
if (anorm == 0.) {
v = 1.;
}
if (v > rcondv) {
tol = 1.;
} else {
tol = v / rcondv;
}
if (v > *rcdvin) {
tolin = 1.;
} else {
tolin = v / *rcdvin;
}
/* Computing MAX */
d__1 = tol, d__2 = smlnum / eps;
tol = max(d__1,d__2);
/* Computing MAX */
d__1 = tolin, d__2 = smlnum / eps;
tolin = max(d__1,d__2);
if (eps * (*rcdein - tolin) > rconde + tol) {
result[16] = ulpinv;
} else if (*rcdein - tolin > rconde + tol) {
result[16] = (*rcdein - tolin) / (rconde + tol);
} else if (*rcdein + tolin < eps * (rconde - tol)) {
result[16] = ulpinv;
} else if (*rcdein + tolin < rconde - tol) {
result[16] = (rconde - tol) / (*rcdein + tolin);
} else {
result[16] = 1.;
}
/* Compare condition numbers for right invariant subspace */
/* taking its condition number into account */
if (v > rcondv * rconde) {
tol = rcondv;
} else {
tol = v / rconde;
}
if (v > *rcdvin * *rcdein) {
tolin = *rcdvin;
} else {
tolin = v / *rcdein;
}
/* Computing MAX */
d__1 = tol, d__2 = smlnum / eps;
tol = max(d__1,d__2);
/* Computing MAX */
d__1 = tolin, d__2 = smlnum / eps;
tolin = max(d__1,d__2);
if (eps * (*rcdvin - tolin) > rcondv + tol) {
result[17] = ulpinv;
} else if (*rcdvin - tolin > rcondv + tol) {
result[17] = (*rcdvin - tolin) / (rcondv + tol);
} else if (*rcdvin + tolin < eps * (rcondv - tol)) {
result[17] = ulpinv;
} else if (*rcdvin + tolin < rcondv - tol) {
result[17] = (rcondv - tol) / (*rcdvin + tolin);
} else {
result[17] = 1.;
}
L300:
;
}
return 0;
/* End of DGET24 */
} /* dget24_ */
/* Subroutine */ int derred_(char *path, integer *nunit)
{
/* Format strings */
static char fmt_9999[] = "(1x,a6,\002 passed the tests of the error exit"
"s (\002,i3,\002 tests done)\002)";
static char fmt_9998[] = "(\002 *** \002,a6,\002 failed the tests of the"
" error exits ***\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 doublereal a[16] /* was [4][4] */;
static logical b[4];
static integer i__, j;
static doublereal s[4], u[16] /* was [4][4] */, w[16];
extern /* Subroutine */ int dgees_(char *, char *, L_fp, integer *,
doublereal *, integer *, integer *, doublereal *, doublereal *,
doublereal *, integer *, doublereal *, integer *, logical *,
integer *), dgeev_(char *, char *, integer *,
doublereal *, integer *, doublereal *, doublereal *, doublereal *,
integer *, doublereal *, integer *, doublereal *, integer *,
integer *);
static doublereal abnrm;
static char c2[2];
static doublereal r1[4], r2[4];
extern /* Subroutine */ int dgesdd_(char *, integer *, integer *,
doublereal *, integer *, doublereal *, doublereal *, integer *,
doublereal *, integer *, doublereal *, integer *, integer *,
integer *);
static integer iw[8];
static doublereal wi[4];
static integer nt;
static doublereal vl[16] /* was [4][4] */, vr[16] /* was [4][4]
*/, wr[4], vt[16] /* was [4][4] */;
extern /* Subroutine */ int dgesvd_(char *, char *, integer *, integer *,
doublereal *, integer *, doublereal *, doublereal *, integer *,
doublereal *, integer *, doublereal *, integer *, integer *);
extern logical dslect_();
extern /* Subroutine */ int dgeesx_(char *, char *, L_fp, char *, integer
*, doublereal *, integer *, integer *, doublereal *, doublereal *,
doublereal *, integer *, doublereal *, doublereal *, doublereal *
, integer *, integer *, integer *, logical *, integer *);
extern logical lsamen_(integer *, char *, char *);
extern /* Subroutine */ int dgeevx_(char *, char *, char *, char *,
integer *, doublereal *, integer *, doublereal *, doublereal *,
doublereal *, integer *, doublereal *, integer *, integer *,
integer *, doublereal *, doublereal *, doublereal *, doublereal *,
doublereal *, integer *, integer *, integer *), chkxer_(char *, integer *, integer *, logical *,
logical *);
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 };
static cilist io___26 = { 0, 0, 0, fmt_9999, 0 };
static cilist io___27 = { 0, 0, 0, fmt_9998, 0 };
static cilist io___28 = { 0, 0, 0, fmt_9999, 0 };
static cilist io___29 = { 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
=======
DERRED tests the error exits for the eigenvalue driver routines for
DOUBLE PRECISION matrices:
PATH driver description
---- ------ -----------
SEV DGEEV find eigenvalues/eigenvectors for nonsymmetric A
SES DGEES find eigenvalues/Schur form for nonsymmetric A
SVX DGEEVX SGEEV + balancing and condition estimation
SSX DGEESX SGEES + balancing and condition estimation
DBD DGESVD compute SVD of an M-by-N matrix A
DGESDD 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.;
/* L10: */
}
/* L20: */
}
for (i__ = 1; i__ <= 4; ++i__) {
a_ref(i__, i__) = 1.;
/* L30: */
}
infoc_1.ok = TRUE_;
nt = 0;
if (lsamen_(&c__2, c2, "EV")) {
/* Test DGEEV */
s_copy(srnamc_1.srnamt, "DGEEV ", (ftnlen)6, (ftnlen)6);
infoc_1.infot = 1;
dgeev_("X", "N", &c__0, a, &c__1, wr, wi, vl, &c__1, vr, &c__1, w, &
c__1, &info);
chkxer_("DGEEV ", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
dgeev_("N", "X", &c__0, a, &c__1, wr, wi, vl, &c__1, vr, &c__1, w, &
c__1, &info);
chkxer_("DGEEV ", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 3;
dgeev_("N", "N", &c_n1, a, &c__1, wr, wi, vl, &c__1, vr, &c__1, w, &
c__1, &info);
chkxer_("DGEEV ", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 5;
dgeev_("N", "N", &c__2, a, &c__1, wr, wi, vl, &c__1, vr, &c__1, w, &
c__6, &info);
chkxer_("DGEEV ", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 9;
dgeev_("V", "N", &c__2, a, &c__2, wr, wi, vl, &c__1, vr, &c__1, w, &
c__8, &info);
chkxer_("DGEEV ", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 11;
dgeev_("N", "V", &c__2, a, &c__2, wr, wi, vl, &c__1, vr, &c__1, w, &
c__8, &info);
chkxer_("DGEEV ", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 13;
dgeev_("V", "V", &c__1, a, &c__1, wr, wi, vl, &c__1, vr, &c__1, w, &
c__3, &info);
chkxer_("DGEEV ", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
nt += 7;
} else if (lsamen_(&c__2, c2, "ES")) {
/* Test DGEES */
s_copy(srnamc_1.srnamt, "DGEES ", (ftnlen)6, (ftnlen)6);
infoc_1.infot = 1;
dgees_("X", "N", (L_fp)dslect_, &c__0, a, &c__1, &sdim, wr, wi, vl, &
c__1, w, &c__1, b, &info);
chkxer_("DGEES ", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
dgees_("N", "X", (L_fp)dslect_, &c__0, a, &c__1, &sdim, wr, wi, vl, &
c__1, w, &c__1, b, &info);
chkxer_("DGEES ", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 4;
dgees_("N", "S", (L_fp)dslect_, &c_n1, a, &c__1, &sdim, wr, wi, vl, &
c__1, w, &c__1, b, &info);
chkxer_("DGEES ", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 6;
dgees_("N", "S", (L_fp)dslect_, &c__2, a, &c__1, &sdim, wr, wi, vl, &
c__1, w, &c__6, b, &info);
chkxer_("DGEES ", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 11;
dgees_("V", "S", (L_fp)dslect_, &c__2, a, &c__2, &sdim, wr, wi, vl, &
c__1, w, &c__6, b, &info);
chkxer_("DGEES ", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 13;
dgees_("N", "S", (L_fp)dslect_, &c__1, a, &c__1, &sdim, wr, wi, vl, &
c__1, w, &c__2, b, &info);
chkxer_("DGEES ", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
nt += 6;
} else if (lsamen_(&c__2, c2, "VX")) {
/* Test DGEEVX */
s_copy(srnamc_1.srnamt, "DGEEVX", (ftnlen)6, (ftnlen)6);
infoc_1.infot = 1;
dgeevx_("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_("DGEEVX", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
dgeevx_("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_("DGEEVX", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 3;
dgeevx_("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_("DGEEVX", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 4;
dgeevx_("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_("DGEEVX", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 5;
dgeevx_("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_("DGEEVX", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 7;
dgeevx_("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_("DGEEVX", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 11;
dgeevx_("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_("DGEEVX", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 13;
dgeevx_("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_("DGEEVX", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 21;
dgeevx_("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_("DGEEVX", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 21;
dgeevx_("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_("DGEEVX", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 21;
dgeevx_("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_("DGEEVX", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
nt += 11;
} else if (lsamen_(&c__2, c2, "SX")) {
/* Test DGEESX */
s_copy(srnamc_1.srnamt, "DGEESX", (ftnlen)6, (ftnlen)6);
infoc_1.infot = 1;
dgeesx_("X", "N", (L_fp)dslect_, "N", &c__0, a, &c__1, &sdim, wr, wi,
vl, &c__1, r1, r2, w, &c__1, iw, &c__1, b, &info);
chkxer_("DGEESX", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
dgeesx_("N", "X", (L_fp)dslect_, "N", &c__0, a, &c__1, &sdim, wr, wi,
vl, &c__1, r1, r2, w, &c__1, iw, &c__1, b, &info);
chkxer_("DGEESX", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 4;
dgeesx_("N", "N", (L_fp)dslect_, "X", &c__0, a, &c__1, &sdim, wr, wi,
vl, &c__1, r1, r2, w, &c__1, iw, &c__1, b, &info);
chkxer_("DGEESX", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 5;
dgeesx_("N", "N", (L_fp)dslect_, "N", &c_n1, a, &c__1, &sdim, wr, wi,
vl, &c__1, r1, r2, w, &c__1, iw, &c__1, b, &info);
chkxer_("DGEESX", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 7;
dgeesx_("N", "N", (L_fp)dslect_, "N", &c__2, a, &c__1, &sdim, wr, wi,
vl, &c__1, r1, r2, w, &c__6, iw, &c__1, b, &info);
chkxer_("DGEESX", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 12;
dgeesx_("V", "N", (L_fp)dslect_, "N", &c__2, a, &c__2, &sdim, wr, wi,
vl, &c__1, r1, r2, w, &c__6, iw, &c__1, b, &info);
chkxer_("DGEESX", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 16;
dgeesx_("N", "N", (L_fp)dslect_, "N", &c__1, a, &c__1, &sdim, wr, wi,
vl, &c__1, r1, r2, w, &c__2, iw, &c__1, b, &info);
chkxer_("DGEESX", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
nt += 7;
} else if (lsamen_(&c__2, c2, "BD")) {
/* Test DGESVD */
s_copy(srnamc_1.srnamt, "DGESVD", (ftnlen)6, (ftnlen)6);
infoc_1.infot = 1;
dgesvd_("X", "N", &c__0, &c__0, a, &c__1, s, u, &c__1, vt, &c__1, w, &
c__1, &info);
chkxer_("DGESVD", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
dgesvd_("N", "X", &c__0, &c__0, a, &c__1, s, u, &c__1, vt, &c__1, w, &
c__1, &info);
chkxer_("DGESVD", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
dgesvd_("O", "O", &c__0, &c__0, a, &c__1, s, u, &c__1, vt, &c__1, w, &
c__1, &info);
chkxer_("DGESVD", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 3;
dgesvd_("N", "N", &c_n1, &c__0, a, &c__1, s, u, &c__1, vt, &c__1, w, &
c__1, &info);
chkxer_("DGESVD", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 4;
dgesvd_("N", "N", &c__0, &c_n1, a, &c__1, s, u, &c__1, vt, &c__1, w, &
c__1, &info);
chkxer_("DGESVD", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 6;
dgesvd_("N", "N", &c__2, &c__1, a, &c__1, s, u, &c__1, vt, &c__1, w, &
c__5, &info);
chkxer_("DGESVD", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 9;
dgesvd_("A", "N", &c__2, &c__1, a, &c__2, s, u, &c__1, vt, &c__1, w, &
c__5, &info);
chkxer_("DGESVD", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 11;
dgesvd_("N", "A", &c__1, &c__2, a, &c__1, s, u, &c__1, vt, &c__1, w, &
c__5, &info);
chkxer_("DGESVD", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
nt += 8;
if (infoc_1.ok) {
io___24.ciunit = infoc_1.nout;
s_wsfe(&io___24);
do_fio(&c__1, srnamc_1.srnamt, (ftnlen)6);
do_fio(&c__1, (char *)&nt, (ftnlen)sizeof(integer));
e_wsfe();
} else {
io___25.ciunit = infoc_1.nout;
s_wsfe(&io___25);
e_wsfe();
}
/* Test DGESDD */
s_copy(srnamc_1.srnamt, "DGESDD", (ftnlen)6, (ftnlen)6);
infoc_1.infot = 1;
dgesdd_("X", &c__0, &c__0, a, &c__1, s, u, &c__1, vt, &c__1, w, &c__1,
iw, &info);
chkxer_("DGESDD", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
dgesdd_("N", &c_n1, &c__0, a, &c__1, s, u, &c__1, vt, &c__1, w, &c__1,
iw, &info);
chkxer_("DGESDD", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 3;
dgesdd_("N", &c__0, &c_n1, a, &c__1, s, u, &c__1, vt, &c__1, w, &c__1,
iw, &info);
chkxer_("DGESDD", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 5;
dgesdd_("N", &c__2, &c__1, a, &c__1, s, u, &c__1, vt, &c__1, w, &c__5,
iw, &info);
chkxer_("DGESDD", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 8;
dgesdd_("A", &c__2, &c__1, a, &c__2, s, u, &c__1, vt, &c__1, w, &c__5,
iw, &info);
chkxer_("DGESDD", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 10;
dgesdd_("A", &c__1, &c__2, a, &c__1, s, u, &c__1, vt, &c__1, w, &c__5,
iw, &info);
chkxer_("DGESDD", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
nt += -2;
if (infoc_1.ok) {
io___26.ciunit = infoc_1.nout;
s_wsfe(&io___26);
do_fio(&c__1, srnamc_1.srnamt, (ftnlen)6);
do_fio(&c__1, (char *)&nt, (ftnlen)sizeof(integer));
e_wsfe();
} else {
io___27.ciunit = infoc_1.nout;
s_wsfe(&io___27);
e_wsfe();
}
}
/* Print a summary line. */
if (! lsamen_(&c__2, c2, "BD")) {
if (infoc_1.ok) {
io___28.ciunit = infoc_1.nout;
s_wsfe(&io___28);
do_fio(&c__1, srnamc_1.srnamt, (ftnlen)6);
do_fio(&c__1, (char *)&nt, (ftnlen)sizeof(integer));
e_wsfe();
} else {
io___29.ciunit = infoc_1.nout;
s_wsfe(&io___29);
e_wsfe();
}
}
return 0;
/* End of DERRED */
} /* derred_ */
