/* Subroutine */ int zgtsvx_(char *fact, char *trans, integer *n, integer *
nrhs, doublecomplex *dl, doublecomplex *d__, doublecomplex *du,
doublecomplex *dlf, doublecomplex *df, doublecomplex *duf,
doublecomplex *du2, integer *ipiv, doublecomplex *b, integer *ldb,
doublecomplex *x, integer *ldx, doublereal *rcond, doublereal *ferr,
doublereal *berr, doublecomplex *work, doublereal *rwork, integer *
info)
{
/* System generated locals */
integer b_dim1, b_offset, x_dim1, x_offset, i__1;
/* Local variables */
char norm[1];
extern logical lsame_(char *, char *);
doublereal anorm;
extern /* Subroutine */ int zcopy_(integer *, doublecomplex *, integer *,
doublecomplex *, integer *);
extern doublereal dlamch_(char *);
logical nofact;
extern /* Subroutine */ int xerbla_(char *, integer *);
extern doublereal zlangt_(char *, integer *, doublecomplex *,
doublecomplex *, doublecomplex *);
logical notran;
extern /* Subroutine */ int zlacpy_(char *, integer *, integer *,
doublecomplex *, integer *, doublecomplex *, integer *),
zgtcon_(char *, integer *, doublecomplex *, doublecomplex *,
doublecomplex *, doublecomplex *, integer *, doublereal *,
doublereal *, doublecomplex *, integer *), zgtrfs_(char *,
integer *, integer *, doublecomplex *, doublecomplex *,
doublecomplex *, doublecomplex *, doublecomplex *, doublecomplex *
, doublecomplex *, integer *, doublecomplex *, integer *,
doublecomplex *, integer *, doublereal *, doublereal *,
doublecomplex *, doublereal *, integer *), zgttrf_(
integer *, doublecomplex *, doublecomplex *, doublecomplex *,
doublecomplex *, integer *, integer *), zgttrs_(char *, integer *,
integer *, doublecomplex *, doublecomplex *, doublecomplex *,
doublecomplex *, integer *, doublecomplex *, integer *, integer *);
/* -- LAPACK routine (version 3.2) -- */
/* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */
/* November 2006 */
/* .. Scalar Arguments .. */
/* .. */
/* .. Array Arguments .. */
/* .. */
/* Purpose */
/* ======= */
/* ZGTSVX uses the LU factorization to compute the solution to a complex */
/* system of linear equations A * X = B, A**T * X = B, or A**H * X = B, */
/* where A is a tridiagonal matrix of order N and X and B are N-by-NRHS */
/* matrices. */
/* Error bounds on the solution and a condition estimate are also */
/* provided. */
/* Description */
/* =========== */
/* The following steps are performed: */
/* 1. If FACT = 'N', the LU decomposition is used to factor the matrix A */
/* as A = L * U, where L is a product of permutation and unit lower */
/* bidiagonal matrices and U is upper triangular with nonzeros in */
/* only the main diagonal and first two superdiagonals. */
/* 2. If some U(i,i)=0, so that U is exactly singular, then the routine */
/* returns with INFO = i. Otherwise, the factored form of A is used */
/* to estimate the condition number of the matrix A. If the */
/* reciprocal of the condition number is less than machine precision, */
/* INFO = N+1 is returned as a warning, but the routine still goes on */
/* to solve for X and compute error bounds as described below. */
/* 3. The system of equations is solved for X using the factored form */
/* of A. */
/* 4. Iterative refinement is applied to improve the computed solution */
/* matrix and calculate error bounds and backward error estimates */
/* for it. */
/* Arguments */
/* ========= */
/* FACT (input) CHARACTER*1 */
/* Specifies whether or not the factored form of A has been */
/* supplied on entry. */
/* = 'F': DLF, DF, DUF, DU2, and IPIV contain the factored form */
/* of A; DL, D, DU, DLF, DF, DUF, DU2 and IPIV will not */
/* be modified. */
/* = 'N': The matrix will be copied to DLF, DF, and DUF */
/* and factored. */
/* TRANS (input) CHARACTER*1 */
/* Specifies the form of the system of equations: */
/* = 'N': A * X = B (No transpose) */
/* = 'T': A**T * X = B (Transpose) */
/* = 'C': A**H * X = B (Conjugate transpose) */
/* N (input) INTEGER */
/* The order of the matrix A. N >= 0. */
/* NRHS (input) INTEGER */
/* The number of right hand sides, i.e., the number of columns */
/* of the matrix B. NRHS >= 0. */
/* DL (input) COMPLEX*16 array, dimension (N-1) */
/* The (n-1) subdiagonal elements of A. */
/* D (input) COMPLEX*16 array, dimension (N) */
/* The n diagonal elements of A. */
/* DU (input) COMPLEX*16 array, dimension (N-1) */
/* The (n-1) superdiagonal elements of A. */
/* DLF (input or output) COMPLEX*16 array, dimension (N-1) */
/* If FACT = 'F', then DLF is an input argument and on entry */
/* contains the (n-1) multipliers that define the matrix L from */
/* the LU factorization of A as computed by ZGTTRF. */
/* If FACT = 'N', then DLF is an output argument and on exit */
/* contains the (n-1) multipliers that define the matrix L from */
/* the LU factorization of A. */
/* DF (input or output) COMPLEX*16 array, dimension (N) */
/* If FACT = 'F', then DF is an input argument and on entry */
/* contains the n diagonal elements of the upper triangular */
/* matrix U from the LU factorization of A. */
/* If FACT = 'N', then DF is an output argument and on exit */
/* contains the n diagonal elements of the upper triangular */
/* matrix U from the LU factorization of A. */
/* DUF (input or output) COMPLEX*16 array, dimension (N-1) */
/* If FACT = 'F', then DUF is an input argument and on entry */
/* contains the (n-1) elements of the first superdiagonal of U. */
/* If FACT = 'N', then DUF is an output argument and on exit */
/* contains the (n-1) elements of the first superdiagonal of U. */
/* DU2 (input or output) COMPLEX*16 array, dimension (N-2) */
/* If FACT = 'F', then DU2 is an input argument and on entry */
/* contains the (n-2) elements of the second superdiagonal of */
/* U. */
/* If FACT = 'N', then DU2 is an output argument and on exit */
/* contains the (n-2) elements of the second superdiagonal of */
/* U. */
/* IPIV (input or output) INTEGER array, dimension (N) */
/* If FACT = 'F', then IPIV is an input argument and on entry */
/* contains the pivot indices from the LU factorization of A as */
/* computed by ZGTTRF. */
/* If FACT = 'N', then IPIV is an output argument and on exit */
/* contains the pivot indices from the LU factorization of A; */
/* row i of the matrix was interchanged with row IPIV(i). */
/* IPIV(i) will always be either i or i+1; IPIV(i) = i indicates */
/* a row interchange was not required. */
/* B (input) COMPLEX*16 array, dimension (LDB,NRHS) */
/* The N-by-NRHS right hand side matrix B. */
/* LDB (input) INTEGER */
/* The leading dimension of the array B. LDB >= max(1,N). */
/* X (output) COMPLEX*16 array, dimension (LDX,NRHS) */
/* If INFO = 0 or INFO = N+1, the N-by-NRHS solution matrix X. */
/* LDX (input) INTEGER */
/* The leading dimension of the array X. LDX >= max(1,N). */
/* RCOND (output) DOUBLE PRECISION */
/* The estimate of the reciprocal condition number of the matrix */
/* A. If RCOND is less than the machine precision (in */
/* particular, if RCOND = 0), the matrix is singular to working */
/* precision. This condition is indicated by a return code of */
/* INFO > 0. */
/* FERR (output) DOUBLE PRECISION array, dimension (NRHS) */
/* The estimated forward error bound for each solution vector */
/* X(j) (the j-th column of the solution matrix X). */
/* If XTRUE is the true solution corresponding to X(j), FERR(j) */
/* is an estimated upper bound for the magnitude of the largest */
/* element in (X(j) - XTRUE) divided by the magnitude of the */
/* largest element in X(j). The estimate is as reliable as */
/* the estimate for RCOND, and is almost always a slight */
/* overestimate of the true error. */
/* BERR (output) DOUBLE PRECISION array, dimension (NRHS) */
/* The componentwise relative backward error of each solution */
/* vector X(j) (i.e., the smallest relative change in */
/* any element of A or B that makes X(j) an exact solution). */
/* WORK (workspace) COMPLEX*16 array, dimension (2*N) */
/* RWORK (workspace) DOUBLE PRECISION array, dimension (N) */
/* INFO (output) INTEGER */
/* = 0: successful exit */
/* < 0: if INFO = -i, the i-th argument had an illegal value */
/* > 0: if INFO = i, and i is */
/* <= N: U(i,i) is exactly zero. The factorization */
/* has not been completed unless i = N, but the */
/* factor U is exactly singular, so the solution */
/* and error bounds could not be computed. */
/* RCOND = 0 is returned. */
/* = N+1: U is nonsingular, but RCOND is less than machine */
/* precision, meaning that the matrix is singular */
/* to working precision. Nevertheless, the */
/* solution and error bounds are computed because */
/* there are a number of situations where the */
/* computed solution can be more accurate than the */
/* value of RCOND would suggest. */
/* ===================================================================== */
/* .. Parameters .. */
/* .. */
/* .. Local Scalars .. */
/* .. */
/* .. External Functions .. */
/* .. */
/* .. External Subroutines .. */
/* .. */
/* .. Intrinsic Functions .. */
/* .. */
/* .. Executable Statements .. */
/* Parameter adjustments */
--dl;
--d__;
--du;
--dlf;
--df;
--duf;
--du2;
--ipiv;
b_dim1 = *ldb;
b_offset = 1 + b_dim1;
b -= b_offset;
x_dim1 = *ldx;
x_offset = 1 + x_dim1;
x -= x_offset;
--ferr;
--berr;
--work;
--rwork;
/* Function Body */
*info = 0;
nofact = lsame_(fact, "N");
notran = lsame_(trans, "N");
if (! nofact && ! lsame_(fact, "F")) {
*info = -1;
} else if (! notran && ! lsame_(trans, "T") && !
lsame_(trans, "C")) {
*info = -2;
} else if (*n < 0) {
*info = -3;
} else if (*nrhs < 0) {
*info = -4;
} else if (*ldb < max(1,*n)) {
*info = -14;
} else if (*ldx < max(1,*n)) {
*info = -16;
}
if (*info != 0) {
i__1 = -(*info);
xerbla_("ZGTSVX", &i__1);
return 0;
}
if (nofact) {
/* Compute the LU factorization of A. */
zcopy_(n, &d__[1], &c__1, &df[1], &c__1);
if (*n > 1) {
i__1 = *n - 1;
zcopy_(&i__1, &dl[1], &c__1, &dlf[1], &c__1);
i__1 = *n - 1;
zcopy_(&i__1, &du[1], &c__1, &duf[1], &c__1);
}
zgttrf_(n, &dlf[1], &df[1], &duf[1], &du2[1], &ipiv[1], info);
/* Return if INFO is non-zero. */
if (*info > 0) {
*rcond = 0.;
return 0;
}
}
/* Compute the norm of the matrix A. */
if (notran) {
*(unsigned char *)norm = '1';
} else {
*(unsigned char *)norm = 'I';
}
anorm = zlangt_(norm, n, &dl[1], &d__[1], &du[1]);
/* Compute the reciprocal of the condition number of A. */
zgtcon_(norm, n, &dlf[1], &df[1], &duf[1], &du2[1], &ipiv[1], &anorm,
rcond, &work[1], info);
/* Compute the solution vectors X. */
zlacpy_("Full", n, nrhs, &b[b_offset], ldb, &x[x_offset], ldx);
zgttrs_(trans, n, nrhs, &dlf[1], &df[1], &duf[1], &du2[1], &ipiv[1], &x[
x_offset], ldx, info);
/* Use iterative refinement to improve the computed solutions and */
/* compute error bounds and backward error estimates for them. */
zgtrfs_(trans, n, nrhs, &dl[1], &d__[1], &du[1], &dlf[1], &df[1], &duf[1],
&du2[1], &ipiv[1], &b[b_offset], ldb, &x[x_offset], ldx, &ferr[1]
, &berr[1], &work[1], &rwork[1], info);
/* Set INFO = N+1 if the matrix is singular to working precision. */
if (*rcond < dlamch_("Epsilon")) {
*info = *n + 1;
}
return 0;
/* End of ZGTSVX */
} /* zgtsvx_ */
/* Subroutine */ int zgtsvx_(char *fact, char *trans, integer *n, integer *
nrhs, doublecomplex *dl, doublecomplex *d, doublecomplex *du,
doublecomplex *dlf, doublecomplex *df, doublecomplex *duf,
doublecomplex *du2, integer *ipiv, doublecomplex *b, integer *ldb,
doublecomplex *x, integer *ldx, doublereal *rcond, doublereal *ferr,
doublereal *berr, doublecomplex *work, doublereal *rwork, integer *
info)
{
/* -- LAPACK routine (version 2.0) --
Univ. of Tennessee, Univ. of California Berkeley, NAG Ltd.,
Courant Institute, Argonne National Lab, and Rice University
September 30, 1994
Purpose
=======
ZGTSVX uses the LU factorization to compute the solution to a complex
system of linear equations A * X = B, A**T * X = B, or A**H * X = B,
where A is a tridiagonal matrix of order N and X and B are N-by-NRHS
matrices.
Error bounds on the solution and a condition estimate are also
provided.
Description
===========
The following steps are performed:
1. If FACT = 'N', the LU decomposition is used to factor the matrix A
as A = L * U, where L is a product of permutation and unit lower
bidiagonal matrices and U is upper triangular with nonzeros in
only the main diagonal and first two superdiagonals.
2. The factored form of A is used to estimate the condition number
of the matrix A. If the reciprocal of the condition number is
less than machine precision, steps 3 and 4 are skipped.
3. The system of equations is solved for X using the factored form
of A.
4. Iterative refinement is applied to improve the computed solution
matrix and calculate error bounds and backward error estimates
for it.
Arguments
=========
FACT (input) CHARACTER*1
Specifies whether or not the factored form of A has been
supplied on entry.
= 'F': DLF, DF, DUF, DU2, and IPIV contain the factored form
of A; DL, D, DU, DLF, DF, DUF, DU2 and IPIV will not
be modified.
= 'N': The matrix will be copied to DLF, DF, and DUF
and factored.
TRANS (input) CHARACTER*1
Specifies the form of the system of equations:
= 'N': A * X = B (No transpose)
= 'T': A**T * X = B (Transpose)
= 'C': A**H * X = B (Conjugate transpose)
N (input) INTEGER
The order of the matrix A. N >= 0.
NRHS (input) INTEGER
The number of right hand sides, i.e., the number of columns
of the matrix B. NRHS >= 0.
DL (input) COMPLEX*16 array, dimension (N-1)
The (n-1) subdiagonal elements of A.
D (input) COMPLEX*16 array, dimension (N)
The n diagonal elements of A.
DU (input) COMPLEX*16 array, dimension (N-1)
The (n-1) superdiagonal elements of A.
DLF (input or output) COMPLEX*16 array, dimension (N-1)
If FACT = 'F', then DLF is an input argument and on entry
contains the (n-1) multipliers that define the matrix L from
the LU factorization of A as computed by ZGTTRF.
If FACT = 'N', then DLF is an output argument and on exit
contains the (n-1) multipliers that define the matrix L from
the LU factorization of A.
DF (input or output) COMPLEX*16 array, dimension (N)
If FACT = 'F', then DF is an input argument and on entry
contains the n diagonal elements of the upper triangular
matrix U from the LU factorization of A.
If FACT = 'N', then DF is an output argument and on exit
contains the n diagonal elements of the upper triangular
matrix U from the LU factorization of A.
DUF (input or output) COMPLEX*16 array, dimension (N-1)
If FACT = 'F', then DUF is an input argument and on entry
contains the (n-1) elements of the first superdiagonal of U.
If FACT = 'N', then DUF is an output argument and on exit
contains the (n-1) elements of the first superdiagonal of U.
DU2 (input or output) COMPLEX*16 array, dimension (N-2)
If FACT = 'F', then DU2 is an input argument and on entry
contains the (n-2) elements of the second superdiagonal of
U.
If FACT = 'N', then DU2 is an output argument and on exit
contains the (n-2) elements of the second superdiagonal of
U.
IPIV (input or output) INTEGER array, dimension (N)
If FACT = 'F', then IPIV is an input argument and on entry
contains the pivot indices from the LU factorization of A as
computed by ZGTTRF.
If FACT = 'N', then IPIV is an output argument and on exit
contains the pivot indices from the LU factorization of A;
row i of the matrix was interchanged with row IPIV(i).
IPIV(i) will always be either i or i+1; IPIV(i) = i indicates
a row interchange was not required.
B (input) COMPLEX*16 array, dimension (LDB,NRHS)
The N-by-NRHS right hand side matrix B.
LDB (input) INTEGER
The leading dimension of the array B. LDB >= max(1,N).
X (output) COMPLEX*16 array, dimension (LDX,NRHS)
If INFO = 0, the N-by-NRHS solution matrix X.
LDX (input) INTEGER
The leading dimension of the array X. LDX >= max(1,N).
RCOND (output) DOUBLE PRECISION
The estimate of the reciprocal condition number of the matrix
A. If RCOND is less than the machine precision (in
particular, if RCOND = 0), the matrix is singular to working
precision. This condition is indicated by a return code of
INFO > 0, and the solution and error bounds are not computed.
FERR (output) DOUBLE PRECISION array, dimension (NRHS)
The estimated forward error bound for each solution vector
X(j) (the j-th column of the solution matrix X).
If XTRUE is the true solution corresponding to X(j), FERR(j)
is an estimated upper bound for the magnitude of the largest
element in (X(j) - XTRUE) divided by the magnitude of the
largest element in X(j). The estimate is as reliable as
the estimate for RCOND, and is almost always a slight
overestimate of the true error.
BERR (output) DOUBLE PRECISION array, dimension (NRHS)
The componentwise relative backward error of each solution
vector X(j) (i.e., the smallest relative change in
any element of A or B that makes X(j) an exact solution).
WORK (workspace) COMPLEX*16 array, dimension (2*N)
RWORK (workspace) DOUBLE PRECISION array, dimension (N)
INFO (output) INTEGER
= 0: successful exit
< 0: if INFO = -i, the i-th argument had an illegal value
> 0: if INFO = i, and i is
<= N: U(i,i) is exactly zero. The factorization
has not been completed unless i = N, but the
factor U is exactly singular, so the solution
and error bounds could not be computed.
= N+1: RCOND is less than machine precision. The
factorization has been completed, but the
matrix is singular to working precision, and
the solution and error bounds have not been
computed.
=====================================================================
Parameter adjustments
Function Body */
/* Table of constant values */
static integer c__1 = 1;
/* System generated locals */
integer b_dim1, b_offset, x_dim1, x_offset, i__1;
/* Local variables */
static char norm[1];
extern logical lsame_(char *, char *);
static doublereal anorm;
extern /* Subroutine */ int zcopy_(integer *, doublecomplex *, integer *,
doublecomplex *, integer *);
extern doublereal dlamch_(char *);
static logical nofact;
extern /* Subroutine */ int xerbla_(char *, integer *);
extern doublereal zlangt_(char *, integer *, doublecomplex *,
doublecomplex *, doublecomplex *);
static logical notran;
extern /* Subroutine */ int zlacpy_(char *, integer *, integer *,
doublecomplex *, integer *, doublecomplex *, integer *),
zgtcon_(char *, integer *, doublecomplex *, doublecomplex *,
doublecomplex *, doublecomplex *, integer *, doublereal *,
doublereal *, doublecomplex *, integer *), zgtrfs_(char *,
integer *, integer *, doublecomplex *, doublecomplex *,
doublecomplex *, doublecomplex *, doublecomplex *, doublecomplex *
, doublecomplex *, integer *, doublecomplex *, integer *,
doublecomplex *, integer *, doublereal *, doublereal *,
doublecomplex *, doublereal *, integer *), zgttrf_(
integer *, doublecomplex *, doublecomplex *, doublecomplex *,
doublecomplex *, integer *, integer *), zgttrs_(char *, integer *,
integer *, doublecomplex *, doublecomplex *, doublecomplex *,
doublecomplex *, integer *, doublecomplex *, integer *, integer *);
#define DL(I) dl[(I)-1]
#define D(I) d[(I)-1]
#define DU(I) du[(I)-1]
#define DLF(I) dlf[(I)-1]
#define DF(I) df[(I)-1]
#define DUF(I) duf[(I)-1]
#define DU2(I) du2[(I)-1]
#define IPIV(I) ipiv[(I)-1]
#define FERR(I) ferr[(I)-1]
#define BERR(I) berr[(I)-1]
#define WORK(I) work[(I)-1]
#define RWORK(I) rwork[(I)-1]
#define B(I,J) b[(I)-1 + ((J)-1)* ( *ldb)]
#define X(I,J) x[(I)-1 + ((J)-1)* ( *ldx)]
*info = 0;
nofact = lsame_(fact, "N");
notran = lsame_(trans, "N");
if (! nofact && ! lsame_(fact, "F")) {
*info = -1;
} else if (! notran && ! lsame_(trans, "T") && ! lsame_(trans,
"C")) {
*info = -2;
} else if (*n < 0) {
*info = -3;
} else if (*nrhs < 0) {
*info = -4;
} else if (*ldb < max(1,*n)) {
*info = -14;
} else if (*ldx < max(1,*n)) {
*info = -16;
}
if (*info != 0) {
i__1 = -(*info);
xerbla_("ZGTSVX", &i__1);
return 0;
}
if (nofact) {
/* Compute the LU factorization of A. */
zcopy_(n, &D(1), &c__1, &DF(1), &c__1);
if (*n > 1) {
i__1 = *n - 1;
zcopy_(&i__1, &DL(1), &c__1, &DLF(1), &c__1);
i__1 = *n - 1;
zcopy_(&i__1, &DU(1), &c__1, &DUF(1), &c__1);
}
zgttrf_(n, &DLF(1), &DF(1), &DUF(1), &DU2(1), &IPIV(1), info);
/* Return if INFO is non-zero. */
if (*info != 0) {
if (*info > 0) {
*rcond = 0.;
}
return 0;
}
}
/* Compute the norm of the matrix A. */
if (notran) {
*(unsigned char *)norm = '1';
} else {
*(unsigned char *)norm = 'I';
}
anorm = zlangt_(norm, n, &DL(1), &D(1), &DU(1));
/* Compute the reciprocal of the condition number of A. */
zgtcon_(norm, n, &DLF(1), &DF(1), &DUF(1), &DU2(1), &IPIV(1), &anorm,
rcond, &WORK(1), info);
/* Return if the matrix is singular to working precision. */
if (*rcond < dlamch_("Epsilon")) {
*info = *n + 1;
return 0;
}
/* Compute the solution vectors X. */
zlacpy_("Full", n, nrhs, &B(1,1), ldb, &X(1,1), ldx);
zgttrs_(trans, n, nrhs, &DLF(1), &DF(1), &DUF(1), &DU2(1), &IPIV(1), &X(1,1), ldx, info);
/* Use iterative refinement to improve the computed solutions and
compute error bounds and backward error estimates for them. */
zgtrfs_(trans, n, nrhs, &DL(1), &D(1), &DU(1), &DLF(1), &DF(1), &DUF(1), &
DU2(1), &IPIV(1), &B(1,1), ldb, &X(1,1), ldx, &FERR(1),
&BERR(1), &WORK(1), &RWORK(1), info);
return 0;
/* End of ZGTSVX */
} /* zgtsvx_ */
/* Subroutine */ int zchkgt_(logical *dotype, integer *nn, integer *nval,
integer *nns, integer *nsval, doublereal *thresh, logical *tsterr,
doublecomplex *a, doublecomplex *af, doublecomplex *b, doublecomplex *
x, doublecomplex *xact, doublecomplex *work, doublereal *rwork,
integer *iwork, integer *nout)
{
/* Initialized data */
static integer iseedy[4] = { 0,0,0,1 };
static char transs[1*3] = "N" "T" "C";
/* Format strings */
static char fmt_9999[] = "(12x,\002N =\002,i5,\002,\002,10x,\002 type"
" \002,i2,\002, test(\002,i2,\002) = \002,g12.5)";
static char fmt_9997[] = "(\002 NORM ='\002,a1,\002', N =\002,i5,\002"
",\002,10x,\002 type \002,i2,\002, test(\002,i2,\002) = \002,g12."
"5)";
static char fmt_9998[] = "(\002 TRANS='\002,a1,\002', N =\002,i5,\002, N"
"RHS=\002,i3,\002, type \002,i2,\002, test(\002,i2,\002) = \002,g"
"12.5)";
/* System generated locals */
integer i__1, i__2, i__3, i__4, i__5;
doublereal d__1, d__2;
/* Builtin functions */
/* Subroutine */ int s_copy(char *, char *, ftnlen, ftnlen);
integer s_wsfe(cilist *), do_fio(integer *, char *, ftnlen), e_wsfe(void);
/* Local variables */
integer i__, j, k, m, n;
doublecomplex z__[3];
integer in, kl, ku, ix, lda;
doublereal cond;
integer mode, koff, imat, info;
char path[3], dist[1];
integer irhs, nrhs;
char norm[1], type__[1];
integer nrun;
extern /* Subroutine */ int alahd_(integer *, char *);
integer nfail, iseed[4];
extern doublereal dget06_(doublereal *, doublereal *);
doublereal rcond;
integer nimat;
doublereal anorm;
integer itran;
extern /* Subroutine */ int zget04_(integer *, integer *, doublecomplex *,
integer *, doublecomplex *, integer *, doublereal *, doublereal *
);
char trans[1];
integer izero, nerrs;
extern /* Subroutine */ int zgtt01_(integer *, doublecomplex *,
doublecomplex *, doublecomplex *, doublecomplex *, doublecomplex *
, doublecomplex *, doublecomplex *, integer *, doublecomplex *,
integer *, doublereal *, doublereal *), zgtt02_(char *, integer *,
integer *, doublecomplex *, doublecomplex *, doublecomplex *,
doublecomplex *, integer *, doublecomplex *, integer *,
doublereal *, doublereal *), zgtt05_(char *, integer *,
integer *, doublecomplex *, doublecomplex *, doublecomplex *,
doublecomplex *, integer *, doublecomplex *, integer *,
doublecomplex *, integer *, doublereal *, doublereal *,
doublereal *);
logical zerot;
extern /* Subroutine */ int zcopy_(integer *, doublecomplex *, integer *,
doublecomplex *, integer *), zlatb4_(char *, integer *, integer *,
integer *, char *, integer *, integer *, doublereal *, integer *,
doublereal *, char *), alaerh_(char *,
char *, integer *, integer *, char *, integer *, integer *,
integer *, integer *, integer *, integer *, integer *, integer *,
integer *);
doublereal rcondc, rcondi;
extern /* Subroutine */ int zdscal_(integer *, doublereal *,
doublecomplex *, integer *), alasum_(char *, integer *, integer *,
integer *, integer *);
doublereal rcondo, ainvnm;
logical trfcon;
extern /* Subroutine */ int zerrge_(char *, integer *);
extern doublereal zlangt_(char *, integer *, doublecomplex *,
doublecomplex *, doublecomplex *);
extern /* Subroutine */ int zlagtm_(char *, integer *, integer *,
doublereal *, doublecomplex *, doublecomplex *, doublecomplex *,
doublecomplex *, integer *, doublereal *, doublecomplex *,
integer *), zlacpy_(char *, integer *, integer *,
doublecomplex *, integer *, doublecomplex *, integer *);
extern doublereal dzasum_(integer *, doublecomplex *, integer *);
extern /* Subroutine */ int zgtcon_(char *, integer *, doublecomplex *,
doublecomplex *, doublecomplex *, doublecomplex *, integer *,
doublereal *, doublereal *, doublecomplex *, integer *),
zlatms_(integer *, integer *, char *, integer *, char *,
doublereal *, integer *, doublereal *, doublereal *, integer *,
integer *, char *, doublecomplex *, integer *, doublecomplex *,
integer *), zlarnv_(integer *, integer *,
integer *, doublecomplex *);
doublereal result[7];
extern /* Subroutine */ int zgtrfs_(char *, integer *, integer *,
doublecomplex *, doublecomplex *, doublecomplex *, doublecomplex *
, doublecomplex *, doublecomplex *, doublecomplex *, integer *,
doublecomplex *, integer *, doublecomplex *, integer *,
doublereal *, doublereal *, doublecomplex *, doublereal *,
integer *), zgttrf_(integer *, doublecomplex *,
doublecomplex *, doublecomplex *, doublecomplex *, integer *,
integer *), zgttrs_(char *, integer *, integer *, doublecomplex *,
doublecomplex *, doublecomplex *, doublecomplex *, integer *,
doublecomplex *, integer *, integer *);
/* Fortran I/O blocks */
static cilist io___29 = { 0, 0, 0, fmt_9999, 0 };
static cilist io___39 = { 0, 0, 0, fmt_9997, 0 };
static cilist io___44 = { 0, 0, 0, fmt_9998, 0 };
/* -- LAPACK test routine (version 3.1) -- */
/* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */
/* November 2006 */
/* .. Scalar Arguments .. */
/* .. */
/* .. Array Arguments .. */
/* .. */
/* Purpose */
/* ======= */
/* ZCHKGT tests ZGTTRF, -TRS, -RFS, and -CON */
/* Arguments */
/* ========= */
/* DOTYPE (input) LOGICAL array, dimension (NTYPES) */
/* The matrix types to be used for testing. Matrices of type j */
/* (for 1 <= j <= NTYPES) are used for testing if DOTYPE(j) = */
/* .TRUE.; if DOTYPE(j) = .FALSE., then type j is not used. */
/* NN (input) INTEGER */
/* The number of values of N contained in the vector NVAL. */
/* NVAL (input) INTEGER array, dimension (NN) */
/* The values of the matrix dimension N. */
/* NNS (input) INTEGER */
/* The number of values of NRHS contained in the vector NSVAL. */
/* NSVAL (input) INTEGER array, dimension (NNS) */
/* The values of the number of right hand sides NRHS. */
/* THRESH (input) DOUBLE PRECISION */
/* The threshold value for the test ratios. A result is */
/* included in the output file if RESULT >= THRESH. To have */
/* every test ratio printed, use THRESH = 0. */
/* TSTERR (input) LOGICAL */
/* Flag that indicates whether error exits are to be tested. */
/* A (workspace) COMPLEX*16 array, dimension (NMAX*4) */
/* AF (workspace) COMPLEX*16 array, dimension (NMAX*4) */
/* B (workspace) COMPLEX*16 array, dimension (NMAX*NSMAX) */
/* where NSMAX is the largest entry in NSVAL. */
/* X (workspace) COMPLEX*16 array, dimension (NMAX*NSMAX) */
/* XACT (workspace) COMPLEX*16 array, dimension (NMAX*NSMAX) */
/* WORK (workspace) COMPLEX*16 array, dimension */
/* (NMAX*max(3,NSMAX)) */
/* RWORK (workspace) DOUBLE PRECISION array, dimension */
/* (max(NMAX)+2*NSMAX) */
/* IWORK (workspace) INTEGER array, dimension (NMAX) */
/* NOUT (input) INTEGER */
/* The unit number for output. */
/* ===================================================================== */
/* .. Parameters .. */
/* .. */
/* .. Local Scalars .. */
/* .. */
/* .. Local Arrays .. */
/* .. */
/* .. External Functions .. */
/* .. */
/* .. External Subroutines .. */
/* .. */
/* .. Intrinsic Functions .. */
/* .. */
/* .. Scalars in Common .. */
/* .. */
/* .. Common blocks .. */
/* .. */
/* .. Data statements .. */
/* Parameter adjustments */
--iwork;
--rwork;
--work;
--xact;
--x;
--b;
--af;
--a;
--nsval;
--nval;
--dotype;
/* Function Body */
/* .. */
/* .. Executable Statements .. */
s_copy(path, "Zomplex precision", (ftnlen)1, (ftnlen)17);
s_copy(path + 1, "GT", (ftnlen)2, (ftnlen)2);
nrun = 0;
nfail = 0;
nerrs = 0;
for (i__ = 1; i__ <= 4; ++i__) {
iseed[i__ - 1] = iseedy[i__ - 1];
/* L10: */
}
/* Test the error exits */
if (*tsterr) {
zerrge_(path, nout);
}
infoc_1.infot = 0;
i__1 = *nn;
for (in = 1; in <= i__1; ++in) {
/* Do for each value of N in NVAL. */
n = nval[in];
/* Computing MAX */
i__2 = n - 1;
m = max(i__2,0);
lda = max(1,n);
nimat = 12;
if (n <= 0) {
nimat = 1;
}
i__2 = nimat;
for (imat = 1; imat <= i__2; ++imat) {
/* Do the tests only if DOTYPE( IMAT ) is true. */
if (! dotype[imat]) {
goto L100;
}
/* Set up parameters with ZLATB4. */
zlatb4_(path, &imat, &n, &n, type__, &kl, &ku, &anorm, &mode, &
cond, dist);
zerot = imat >= 8 && imat <= 10;
if (imat <= 6) {
/* Types 1-6: generate matrices of known condition number. */
/* Computing MAX */
i__3 = 2 - ku, i__4 = 3 - max(1,n);
koff = max(i__3,i__4);
s_copy(srnamc_1.srnamt, "ZLATMS", (ftnlen)32, (ftnlen)6);
zlatms_(&n, &n, dist, iseed, type__, &rwork[1], &mode, &cond,
&anorm, &kl, &ku, "Z", &af[koff], &c__3, &work[1], &
info);
/* Check the error code from ZLATMS. */
if (info != 0) {
alaerh_(path, "ZLATMS", &info, &c__0, " ", &n, &n, &kl, &
ku, &c_n1, &imat, &nfail, &nerrs, nout);
goto L100;
}
izero = 0;
if (n > 1) {
i__3 = n - 1;
zcopy_(&i__3, &af[4], &c__3, &a[1], &c__1);
i__3 = n - 1;
zcopy_(&i__3, &af[3], &c__3, &a[n + m + 1], &c__1);
}
zcopy_(&n, &af[2], &c__3, &a[m + 1], &c__1);
} else {
/* Types 7-12: generate tridiagonal matrices with */
/* unknown condition numbers. */
if (! zerot || ! dotype[7]) {
/* Generate a matrix with elements whose real and */
/* imaginary parts are from [-1,1]. */
i__3 = n + (m << 1);
zlarnv_(&c__2, iseed, &i__3, &a[1]);
if (anorm != 1.) {
i__3 = n + (m << 1);
zdscal_(&i__3, &anorm, &a[1], &c__1);
}
} else if (izero > 0) {
/* Reuse the last matrix by copying back the zeroed out */
/* elements. */
if (izero == 1) {
i__3 = n;
a[i__3].r = z__[1].r, a[i__3].i = z__[1].i;
if (n > 1) {
a[1].r = z__[2].r, a[1].i = z__[2].i;
}
} else if (izero == n) {
i__3 = n * 3 - 2;
a[i__3].r = z__[0].r, a[i__3].i = z__[0].i;
i__3 = (n << 1) - 1;
a[i__3].r = z__[1].r, a[i__3].i = z__[1].i;
} else {
i__3 = (n << 1) - 2 + izero;
a[i__3].r = z__[0].r, a[i__3].i = z__[0].i;
i__3 = n - 1 + izero;
a[i__3].r = z__[1].r, a[i__3].i = z__[1].i;
i__3 = izero;
a[i__3].r = z__[2].r, a[i__3].i = z__[2].i;
}
}
/* If IMAT > 7, set one column of the matrix to 0. */
if (! zerot) {
izero = 0;
} else if (imat == 8) {
izero = 1;
i__3 = n;
z__[1].r = a[i__3].r, z__[1].i = a[i__3].i;
i__3 = n;
a[i__3].r = 0., a[i__3].i = 0.;
if (n > 1) {
z__[2].r = a[1].r, z__[2].i = a[1].i;
a[1].r = 0., a[1].i = 0.;
}
} else if (imat == 9) {
izero = n;
i__3 = n * 3 - 2;
z__[0].r = a[i__3].r, z__[0].i = a[i__3].i;
i__3 = (n << 1) - 1;
z__[1].r = a[i__3].r, z__[1].i = a[i__3].i;
i__3 = n * 3 - 2;
a[i__3].r = 0., a[i__3].i = 0.;
i__3 = (n << 1) - 1;
a[i__3].r = 0., a[i__3].i = 0.;
} else {
izero = (n + 1) / 2;
i__3 = n - 1;
for (i__ = izero; i__ <= i__3; ++i__) {
i__4 = (n << 1) - 2 + i__;
a[i__4].r = 0., a[i__4].i = 0.;
i__4 = n - 1 + i__;
a[i__4].r = 0., a[i__4].i = 0.;
i__4 = i__;
a[i__4].r = 0., a[i__4].i = 0.;
/* L20: */
}
i__3 = n * 3 - 2;
a[i__3].r = 0., a[i__3].i = 0.;
i__3 = (n << 1) - 1;
a[i__3].r = 0., a[i__3].i = 0.;
}
}
/* + TEST 1 */
/* Factor A as L*U and compute the ratio */
/* norm(L*U - A) / (n * norm(A) * EPS ) */
i__3 = n + (m << 1);
zcopy_(&i__3, &a[1], &c__1, &af[1], &c__1);
s_copy(srnamc_1.srnamt, "ZGTTRF", (ftnlen)32, (ftnlen)6);
zgttrf_(&n, &af[1], &af[m + 1], &af[n + m + 1], &af[n + (m << 1)
+ 1], &iwork[1], &info);
/* Check error code from ZGTTRF. */
if (info != izero) {
alaerh_(path, "ZGTTRF", &info, &izero, " ", &n, &n, &c__1, &
c__1, &c_n1, &imat, &nfail, &nerrs, nout);
}
trfcon = info != 0;
zgtt01_(&n, &a[1], &a[m + 1], &a[n + m + 1], &af[1], &af[m + 1], &
af[n + m + 1], &af[n + (m << 1) + 1], &iwork[1], &work[1],
&lda, &rwork[1], result);
/* Print the test ratio if it is .GE. THRESH. */
if (result[0] >= *thresh) {
if (nfail == 0 && nerrs == 0) {
alahd_(nout, path);
}
io___29.ciunit = *nout;
s_wsfe(&io___29);
do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&imat, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&c__1, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&result[0], (ftnlen)sizeof(doublereal));
e_wsfe();
++nfail;
}
++nrun;
for (itran = 1; itran <= 2; ++itran) {
*(unsigned char *)trans = *(unsigned char *)&transs[itran - 1]
;
if (itran == 1) {
*(unsigned char *)norm = 'O';
} else {
*(unsigned char *)norm = 'I';
}
anorm = zlangt_(norm, &n, &a[1], &a[m + 1], &a[n + m + 1]);
if (! trfcon) {
/* Use ZGTTRS to solve for one column at a time of */
/* inv(A), computing the maximum column sum as we go. */
ainvnm = 0.;
i__3 = n;
for (i__ = 1; i__ <= i__3; ++i__) {
i__4 = n;
for (j = 1; j <= i__4; ++j) {
i__5 = j;
x[i__5].r = 0., x[i__5].i = 0.;
/* L30: */
}
i__4 = i__;
x[i__4].r = 1., x[i__4].i = 0.;
zgttrs_(trans, &n, &c__1, &af[1], &af[m + 1], &af[n +
m + 1], &af[n + (m << 1) + 1], &iwork[1], &x[
1], &lda, &info);
/* Computing MAX */
d__1 = ainvnm, d__2 = dzasum_(&n, &x[1], &c__1);
ainvnm = max(d__1,d__2);
/* L40: */
}
/* Compute RCONDC = 1 / (norm(A) * norm(inv(A)) */
if (anorm <= 0. || ainvnm <= 0.) {
rcondc = 1.;
} else {
rcondc = 1. / anorm / ainvnm;
}
if (itran == 1) {
rcondo = rcondc;
} else {
rcondi = rcondc;
}
} else {
rcondc = 0.;
}
/* + TEST 7 */
/* Estimate the reciprocal of the condition number of the */
/* matrix. */
s_copy(srnamc_1.srnamt, "ZGTCON", (ftnlen)32, (ftnlen)6);
zgtcon_(norm, &n, &af[1], &af[m + 1], &af[n + m + 1], &af[n +
(m << 1) + 1], &iwork[1], &anorm, &rcond, &work[1], &
info);
/* Check error code from ZGTCON. */
if (info != 0) {
alaerh_(path, "ZGTCON", &info, &c__0, norm, &n, &n, &c_n1,
&c_n1, &c_n1, &imat, &nfail, &nerrs, nout);
}
result[6] = dget06_(&rcond, &rcondc);
/* Print the test ratio if it is .GE. THRESH. */
if (result[6] >= *thresh) {
if (nfail == 0 && nerrs == 0) {
alahd_(nout, path);
}
io___39.ciunit = *nout;
s_wsfe(&io___39);
do_fio(&c__1, norm, (ftnlen)1);
do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&imat, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&c__7, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&result[6], (ftnlen)sizeof(
doublereal));
e_wsfe();
++nfail;
}
++nrun;
/* L50: */
}
/* Skip the remaining tests if the matrix is singular. */
if (trfcon) {
goto L100;
}
i__3 = *nns;
for (irhs = 1; irhs <= i__3; ++irhs) {
nrhs = nsval[irhs];
/* Generate NRHS random solution vectors. */
ix = 1;
i__4 = nrhs;
for (j = 1; j <= i__4; ++j) {
zlarnv_(&c__2, iseed, &n, &xact[ix]);
ix += lda;
/* L60: */
}
for (itran = 1; itran <= 3; ++itran) {
*(unsigned char *)trans = *(unsigned char *)&transs[itran
- 1];
if (itran == 1) {
rcondc = rcondo;
} else {
rcondc = rcondi;
}
/* Set the right hand side. */
zlagtm_(trans, &n, &nrhs, &c_b63, &a[1], &a[m + 1], &a[n
+ m + 1], &xact[1], &lda, &c_b64, &b[1], &lda);
/* + TEST 2 */
/* Solve op(A) * X = B and compute the residual. */
zlacpy_("Full", &n, &nrhs, &b[1], &lda, &x[1], &lda);
s_copy(srnamc_1.srnamt, "ZGTTRS", (ftnlen)32, (ftnlen)6);
zgttrs_(trans, &n, &nrhs, &af[1], &af[m + 1], &af[n + m +
1], &af[n + (m << 1) + 1], &iwork[1], &x[1], &lda,
&info);
/* Check error code from ZGTTRS. */
if (info != 0) {
alaerh_(path, "ZGTTRS", &info, &c__0, trans, &n, &n, &
c_n1, &c_n1, &nrhs, &imat, &nfail, &nerrs,
nout);
}
zlacpy_("Full", &n, &nrhs, &b[1], &lda, &work[1], &lda);
zgtt02_(trans, &n, &nrhs, &a[1], &a[m + 1], &a[n + m + 1],
&x[1], &lda, &work[1], &lda, &rwork[1], &result[
1]);
/* + TEST 3 */
/* Check solution from generated exact solution. */
zget04_(&n, &nrhs, &x[1], &lda, &xact[1], &lda, &rcondc, &
result[2]);
/* + TESTS 4, 5, and 6 */
/* Use iterative refinement to improve the solution. */
s_copy(srnamc_1.srnamt, "ZGTRFS", (ftnlen)32, (ftnlen)6);
zgtrfs_(trans, &n, &nrhs, &a[1], &a[m + 1], &a[n + m + 1],
&af[1], &af[m + 1], &af[n + m + 1], &af[n + (m <<
1) + 1], &iwork[1], &b[1], &lda, &x[1], &lda, &
rwork[1], &rwork[nrhs + 1], &work[1], &rwork[(
nrhs << 1) + 1], &info);
/* Check error code from ZGTRFS. */
if (info != 0) {
alaerh_(path, "ZGTRFS", &info, &c__0, trans, &n, &n, &
c_n1, &c_n1, &nrhs, &imat, &nfail, &nerrs,
nout);
}
zget04_(&n, &nrhs, &x[1], &lda, &xact[1], &lda, &rcondc, &
result[3]);
zgtt05_(trans, &n, &nrhs, &a[1], &a[m + 1], &a[n + m + 1],
&b[1], &lda, &x[1], &lda, &xact[1], &lda, &rwork[
1], &rwork[nrhs + 1], &result[4]);
/* Print information about the tests that did not pass the */
/* threshold. */
for (k = 2; k <= 6; ++k) {
if (result[k - 1] >= *thresh) {
if (nfail == 0 && nerrs == 0) {
alahd_(nout, path);
}
io___44.ciunit = *nout;
s_wsfe(&io___44);
do_fio(&c__1, trans, (ftnlen)1);
do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer))
;
do_fio(&c__1, (char *)&nrhs, (ftnlen)sizeof(
integer));
do_fio(&c__1, (char *)&imat, (ftnlen)sizeof(
integer));
do_fio(&c__1, (char *)&k, (ftnlen)sizeof(integer))
;
do_fio(&c__1, (char *)&result[k - 1], (ftnlen)
sizeof(doublereal));
e_wsfe();
++nfail;
}
/* L70: */
}
nrun += 5;
/* L80: */
}
/* L90: */
}
L100:
;
}
/* L110: */
}
/* Print a summary of the results. */
alasum_(path, nout, &nfail, &nrun, &nerrs);
return 0;
/* End of ZCHKGT */
} /* zchkgt_ */
/* Subroutine */ int zerrgt_(char *path, integer *nunit)
{
/* System generated locals */
integer i__1;
doublereal d__1;
/* Builtin functions */
integer s_wsle(cilist *), e_wsle(void);
/* Subroutine */ int s_copy(char *, char *, ftnlen, ftnlen);
/* Local variables */
doublecomplex b[2];
doublereal d__[2];
doublecomplex e[2];
integer i__;
doublecomplex w[2], x[2];
char c2[2];
doublereal r1[2], r2[2], df[2];
doublecomplex ef[2], dl[2];
integer ip[2];
doublecomplex du[2];
doublereal rw[2];
doublecomplex du2[2], dlf[2], duf[2];
integer info;
doublereal rcond, anorm;
extern /* Subroutine */ int alaesm_(char *, logical *, integer *);
extern logical lsamen_(integer *, char *, char *);
extern /* Subroutine */ int chkxer_(char *, integer *, integer *, logical
*, logical *), zgtcon_(char *, integer *, doublecomplex *,
doublecomplex *, doublecomplex *, doublecomplex *, integer *,
doublereal *, doublereal *, doublecomplex *, integer *),
zptcon_(integer *, doublereal *, doublecomplex *, doublereal *,
doublereal *, doublereal *, integer *), zgtrfs_(char *, integer *,
integer *, doublecomplex *, doublecomplex *, doublecomplex *,
doublecomplex *, doublecomplex *, doublecomplex *, doublecomplex *
, integer *, doublecomplex *, integer *, doublecomplex *, integer
*, doublereal *, doublereal *, doublecomplex *, doublereal *,
integer *), zgttrf_(integer *, doublecomplex *,
doublecomplex *, doublecomplex *, doublecomplex *, integer *,
integer *), zptrfs_(char *, integer *, integer *, doublereal *,
doublecomplex *, doublereal *, doublecomplex *, doublecomplex *,
integer *, doublecomplex *, integer *, doublereal *, doublereal *,
doublecomplex *, doublereal *, integer *), zpttrf_(
integer *, doublereal *, doublecomplex *, integer *), zgttrs_(
char *, integer *, integer *, doublecomplex *, doublecomplex *,
doublecomplex *, doublecomplex *, integer *, doublecomplex *,
integer *, integer *), zpttrs_(char *, integer *, integer
*, doublereal *, doublecomplex *, doublecomplex *, integer *,
integer *);
/* Fortran I/O blocks */
static cilist io___1 = { 0, 0, 0, 0, 0 };
/* -- LAPACK test routine (version 3.1) -- */
/* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */
/* November 2006 */
/* .. Scalar Arguments .. */
/* .. */
/* Purpose */
/* ======= */
/* ZERRGT tests the error exits for the COMPLEX*16 tridiagonal */
/* routines. */
/* Arguments */
/* ========= */
/* PATH (input) CHARACTER*3 */
/* The LAPACK path name for the routines to be tested. */
/* NUNIT (input) INTEGER */
/* The unit number for output. */
/* ===================================================================== */
/* .. Parameters .. */
/* .. */
/* .. Local Scalars .. */
/* .. */
/* .. Local Arrays .. */
/* .. */
/* .. External Functions .. */
/* .. */
/* .. External Subroutines .. */
/* .. */
/* .. Scalars in Common .. */
/* .. */
/* .. Common blocks .. */
/* .. */
/* .. Executable Statements .. */
infoc_1.nout = *nunit;
io___1.ciunit = infoc_1.nout;
s_wsle(&io___1);
e_wsle();
s_copy(c2, path + 1, (ftnlen)2, (ftnlen)2);
for (i__ = 1; i__ <= 2; ++i__) {
d__[i__ - 1] = 1.;
i__1 = i__ - 1;
e[i__1].r = 2., e[i__1].i = 0.;
i__1 = i__ - 1;
dl[i__1].r = 3., dl[i__1].i = 0.;
i__1 = i__ - 1;
du[i__1].r = 4., du[i__1].i = 0.;
/* L10: */
}
anorm = 1.;
infoc_1.ok = TRUE_;
if (lsamen_(&c__2, c2, "GT")) {
/* Test error exits for the general tridiagonal routines. */
/* ZGTTRF */
s_copy(srnamc_1.srnamt, "ZGTTRF", (ftnlen)6, (ftnlen)6);
infoc_1.infot = 1;
zgttrf_(&c_n1, dl, e, du, du2, ip, &info);
chkxer_("ZGTTRF", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
/* ZGTTRS */
s_copy(srnamc_1.srnamt, "ZGTTRS", (ftnlen)6, (ftnlen)6);
infoc_1.infot = 1;
zgttrs_("/", &c__0, &c__0, dl, e, du, du2, ip, x, &c__1, &info);
chkxer_("ZGTTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
zgttrs_("N", &c_n1, &c__0, dl, e, du, du2, ip, x, &c__1, &info);
chkxer_("ZGTTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 3;
zgttrs_("N", &c__0, &c_n1, dl, e, du, du2, ip, x, &c__1, &info);
chkxer_("ZGTTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 10;
zgttrs_("N", &c__2, &c__1, dl, e, du, du2, ip, x, &c__1, &info);
chkxer_("ZGTTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
/* ZGTRFS */
s_copy(srnamc_1.srnamt, "ZGTRFS", (ftnlen)6, (ftnlen)6);
infoc_1.infot = 1;
zgtrfs_("/", &c__0, &c__0, dl, e, du, dlf, ef, duf, du2, ip, b, &c__1,
x, &c__1, r1, r2, w, rw, &info);
chkxer_("ZGTRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
zgtrfs_("N", &c_n1, &c__0, dl, e, du, dlf, ef, duf, du2, ip, b, &c__1,
x, &c__1, r1, r2, w, rw, &info);
chkxer_("ZGTRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 3;
zgtrfs_("N", &c__0, &c_n1, dl, e, du, dlf, ef, duf, du2, ip, b, &c__1,
x, &c__1, r1, r2, w, rw, &info);
chkxer_("ZGTRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 13;
zgtrfs_("N", &c__2, &c__1, dl, e, du, dlf, ef, duf, du2, ip, b, &c__1,
x, &c__2, r1, r2, w, rw, &info);
chkxer_("ZGTRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 15;
zgtrfs_("N", &c__2, &c__1, dl, e, du, dlf, ef, duf, du2, ip, b, &c__2,
x, &c__1, r1, r2, w, rw, &info);
chkxer_("ZGTRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
/* ZGTCON */
s_copy(srnamc_1.srnamt, "ZGTCON", (ftnlen)6, (ftnlen)6);
infoc_1.infot = 1;
zgtcon_("/", &c__0, dl, e, du, du2, ip, &anorm, &rcond, w, &info);
chkxer_("ZGTCON", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
zgtcon_("I", &c_n1, dl, e, du, du2, ip, &anorm, &rcond, w, &info);
chkxer_("ZGTCON", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 8;
d__1 = -anorm;
zgtcon_("I", &c__0, dl, e, du, du2, ip, &d__1, &rcond, w, &info);
chkxer_("ZGTCON", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
} else if (lsamen_(&c__2, c2, "PT")) {
/* Test error exits for the positive definite tridiagonal */
/* routines. */
/* ZPTTRF */
s_copy(srnamc_1.srnamt, "ZPTTRF", (ftnlen)6, (ftnlen)6);
infoc_1.infot = 1;
zpttrf_(&c_n1, d__, e, &info);
chkxer_("ZPTTRF", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
/* ZPTTRS */
s_copy(srnamc_1.srnamt, "ZPTTRS", (ftnlen)6, (ftnlen)6);
infoc_1.infot = 1;
zpttrs_("/", &c__1, &c__0, d__, e, x, &c__1, &info);
chkxer_("ZPTTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
zpttrs_("U", &c_n1, &c__0, d__, e, x, &c__1, &info);
chkxer_("ZPTTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 3;
zpttrs_("U", &c__0, &c_n1, d__, e, x, &c__1, &info);
chkxer_("ZPTTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 7;
zpttrs_("U", &c__2, &c__1, d__, e, x, &c__1, &info);
chkxer_("ZPTTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
/* ZPTRFS */
s_copy(srnamc_1.srnamt, "ZPTRFS", (ftnlen)6, (ftnlen)6);
infoc_1.infot = 1;
zptrfs_("/", &c__1, &c__0, d__, e, df, ef, b, &c__1, x, &c__1, r1, r2,
w, rw, &info);
chkxer_("ZPTRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
zptrfs_("U", &c_n1, &c__0, d__, e, df, ef, b, &c__1, x, &c__1, r1, r2,
w, rw, &info);
chkxer_("ZPTRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 3;
zptrfs_("U", &c__0, &c_n1, d__, e, df, ef, b, &c__1, x, &c__1, r1, r2,
w, rw, &info);
chkxer_("ZPTRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 9;
zptrfs_("U", &c__2, &c__1, d__, e, df, ef, b, &c__1, x, &c__2, r1, r2,
w, rw, &info);
chkxer_("ZPTRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 11;
zptrfs_("U", &c__2, &c__1, d__, e, df, ef, b, &c__2, x, &c__1, r1, r2,
w, rw, &info);
chkxer_("ZPTRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
/* ZPTCON */
s_copy(srnamc_1.srnamt, "ZPTCON", (ftnlen)6, (ftnlen)6);
infoc_1.infot = 1;
zptcon_(&c_n1, d__, e, &anorm, &rcond, rw, &info);
chkxer_("ZPTCON", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 4;
d__1 = -anorm;
zptcon_(&c__0, d__, e, &d__1, &rcond, rw, &info);
chkxer_("ZPTCON", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
}
/* Print a summary line. */
alaesm_(path, &infoc_1.ok, &infoc_1.nout);
return 0;
/* End of ZERRGT */
} /* zerrgt_ */