/* Subroutine */ int dposvx_(char *fact, char *uplo, integer *n, integer *
nrhs, doublereal *a, integer *lda, doublereal *af, integer *ldaf,
char *equed, doublereal *s, doublereal *b, integer *ldb, doublereal *
x, integer *ldx, doublereal *rcond, doublereal *ferr, doublereal *
berr, doublereal *work, integer *iwork, integer *info)
{
/* System generated locals */
integer a_dim1, a_offset, af_dim1, af_offset, b_dim1, b_offset, x_dim1,
x_offset, i__1, i__2;
doublereal d__1, d__2;
/* Local variables */
integer i__, j;
doublereal amax, smin, smax;
doublereal scond, anorm;
logical equil, rcequ;
logical nofact;
doublereal bignum;
integer infequ;
doublereal smlnum;
/* -- LAPACK driver routine (version 3.2) -- */
/* November 2006 */
/* Purpose */
/* ======= */
/* DPOSVX uses the Cholesky factorization A = U**T*U or A = L*L**T to */
/* compute the solution to a real system of linear equations */
/* A * X = B, */
/* where A is an N-by-N symmetric positive definite matrix 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 = 'E', real scaling factors are computed to equilibrate */
/* the system: */
/* diag(S) * A * diag(S) * inv(diag(S)) * X = diag(S) * B */
/* Whether or not the system will be equilibrated depends on the */
/* scaling of the matrix A, but if equilibration is used, A is */
/* overwritten by diag(S)*A*diag(S) and B by diag(S)*B. */
/* 2. If FACT = 'N' or 'E', the Cholesky decomposition is used to */
/* factor the matrix A (after equilibration if FACT = 'E') as */
/* A = U**T* U, if UPLO = 'U', or */
/* A = L * L**T, if UPLO = 'L', */
/* where U is an upper triangular matrix and L is a lower triangular */
/* matrix. */
/* 3. If the leading i-by-i principal minor is not positive definite, */
/* 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. */
/* 4. The system of equations is solved for X using the factored form */
/* of A. */
/* 5. Iterative refinement is applied to improve the computed solution */
/* matrix and calculate error bounds and backward error estimates */
/* for it. */
/* 6. If equilibration was used, the matrix X is premultiplied by */
/* diag(S) so that it solves the original system before */
/* equilibration. */
/* Arguments */
/* ========= */
/* FACT (input) CHARACTER*1 */
/* Specifies whether or not the factored form of the matrix A is */
/* supplied on entry, and if not, whether the matrix A should be */
/* equilibrated before it is factored. */
/* = 'F': On entry, AF contains the factored form of A. */
/* If EQUED = 'Y', the matrix A has been equilibrated */
/* with scaling factors given by S. A and AF will not */
/* be modified. */
/* = 'N': The matrix A will be copied to AF and factored. */
/* = 'E': The matrix A will be equilibrated if necessary, then */
/* copied to AF and factored. */
/* UPLO (input) CHARACTER*1 */
/* = 'U': Upper triangle of A is stored; */
/* = 'L': Lower triangle of A is stored. */
/* N (input) INTEGER */
/* The number of linear equations, i.e., 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 matrices B and X. NRHS >= 0. */
/* A (input/output) DOUBLE PRECISION array, dimension (LDA,N) */
/* On entry, the symmetric matrix A, except if FACT = 'F' and */
/* EQUED = 'Y', then A must contain the equilibrated matrix */
/* diag(S)*A*diag(S). If UPLO = 'U', the leading */
/* N-by-N upper triangular part of A contains the upper */
/* triangular part of the matrix A, and the strictly lower */
/* triangular part of A is not referenced. If UPLO = 'L', the */
/* leading N-by-N lower triangular part of A contains the lower */
/* triangular part of the matrix A, and the strictly upper */
/* triangular part of A is not referenced. A is not modified if */
/* FACT = 'F' or 'N', or if FACT = 'E' and EQUED = 'N' on exit. */
/* On exit, if FACT = 'E' and EQUED = 'Y', A is overwritten by */
/* diag(S)*A*diag(S). */
/* LDA (input) INTEGER */
/* The leading dimension of the array A. LDA >= max(1,N). */
/* AF (input or output) DOUBLE PRECISION array, dimension (LDAF,N) */
/* If FACT = 'F', then AF is an input argument and on entry */
/* contains the triangular factor U or L from the Cholesky */
/* factorization A = U**T*U or A = L*L**T, in the same storage */
/* format as A. If EQUED .ne. 'N', then AF is the factored form */
/* of the equilibrated matrix diag(S)*A*diag(S). */
/* If FACT = 'N', then AF is an output argument and on exit */
/* returns the triangular factor U or L from the Cholesky */
/* factorization A = U**T*U or A = L*L**T of the original */
/* matrix A. */
/* If FACT = 'E', then AF is an output argument and on exit */
/* returns the triangular factor U or L from the Cholesky */
/* factorization A = U**T*U or A = L*L**T of the equilibrated */
/* matrix A (see the description of A for the form of the */
/* equilibrated matrix). */
/* LDAF (input) INTEGER */
/* The leading dimension of the array AF. LDAF >= max(1,N). */
/* EQUED (input or output) CHARACTER*1 */
/* Specifies the form of equilibration that was done. */
/* = 'N': No equilibration (always true if FACT = 'N'). */
/* = 'Y': Equilibration was done, i.e., A has been replaced by */
/* diag(S) * A * diag(S). */
/* EQUED is an input argument if FACT = 'F'; otherwise, it is an */
/* output argument. */
/* S (input or output) DOUBLE PRECISION array, dimension (N) */
/* The scale factors for A; not accessed if EQUED = 'N'. S is */
/* an input argument if FACT = 'F'; otherwise, S is an output */
/* argument. If FACT = 'F' and EQUED = 'Y', each element of S */
/* must be positive. */
/* B (input/output) DOUBLE PRECISION array, dimension (LDB,NRHS) */
/* On entry, the N-by-NRHS right hand side matrix B. */
/* On exit, if EQUED = 'N', B is not modified; if EQUED = 'Y', */
/* B is overwritten by diag(S) * B. */
/* LDB (input) INTEGER */
/* The leading dimension of the array B. LDB >= max(1,N). */
/* X (output) DOUBLE PRECISION array, dimension (LDX,NRHS) */
/* If INFO = 0 or INFO = N+1, the N-by-NRHS solution matrix X to */
/* the original system of equations. Note that if EQUED = 'Y', */
/* A and B are modified on exit, and the solution to the */
/* equilibrated system is inv(diag(S))*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 after equilibration (if done). 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) DOUBLE PRECISION array, dimension (3*N) */
/* IWORK (workspace) INTEGER 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: the leading minor of order i of A is */
/* not positive definite, so the factorization */
/* could not be completed, and the solution has not */
/* been 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. */
/* ===================================================================== */
/* Parameter adjustments */
a_dim1 = *lda;
a_offset = 1 + a_dim1;
a -= a_offset;
af_dim1 = *ldaf;
af_offset = 1 + af_dim1;
af -= af_offset;
--s;
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;
--iwork;
/* Function Body */
*info = 0;
nofact = lsame_(fact, "N");
equil = lsame_(fact, "E");
if (nofact || equil) {
*(unsigned char *)equed = 'N';
rcequ = FALSE_;
} else {
rcequ = lsame_(equed, "Y");
smlnum = dlamch_("Safe minimum");
bignum = 1. / smlnum;
}
/* Test the input parameters. */
if (! nofact && ! equil && ! lsame_(fact, "F")) {
*info = -1;
} else if (! lsame_(uplo, "U") && ! lsame_(uplo,
"L")) {
*info = -2;
} else if (*n < 0) {
*info = -3;
} else if (*nrhs < 0) {
*info = -4;
} else if (*lda < max(1,*n)) {
*info = -6;
} else if (*ldaf < max(1,*n)) {
*info = -8;
} else if (lsame_(fact, "F") && ! (rcequ || lsame_(
equed, "N"))) {
*info = -9;
} else {
if (rcequ) {
smin = bignum;
smax = 0.;
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
/* Computing MIN */
d__1 = smin, d__2 = s[j];
smin = min(d__1,d__2);
/* Computing MAX */
d__1 = smax, d__2 = s[j];
smax = max(d__1,d__2);
}
if (smin <= 0.) {
*info = -10;
} else if (*n > 0) {
scond = max(smin,smlnum) / min(smax,bignum);
} else {
scond = 1.;
}
}
if (*info == 0) {
if (*ldb < max(1,*n)) {
*info = -12;
} else if (*ldx < max(1,*n)) {
*info = -14;
}
}
}
if (*info != 0) {
i__1 = -(*info);
xerbla_("DPOSVX", &i__1);
return 0;
}
if (equil) {
/* Compute row and column scalings to equilibrate the matrix A. */
dpoequ_(n, &a[a_offset], lda, &s[1], &scond, &amax, &infequ);
if (infequ == 0) {
/* Equilibrate the matrix. */
dlaqsy_(uplo, n, &a[a_offset], lda, &s[1], &scond, &amax, equed);
rcequ = lsame_(equed, "Y");
}
}
/* Scale the right hand side. */
if (rcequ) {
i__1 = *nrhs;
for (j = 1; j <= i__1; ++j) {
i__2 = *n;
for (i__ = 1; i__ <= i__2; ++i__) {
b[i__ + j * b_dim1] = s[i__] * b[i__ + j * b_dim1];
}
}
}
if (nofact || equil) {
/* Compute the Cholesky factorization A = U'*U or A = L*L'. */
dlacpy_(uplo, n, n, &a[a_offset], lda, &af[af_offset], ldaf);
dpotrf_(uplo, n, &af[af_offset], ldaf, info);
/* Return if INFO is non-zero. */
if (*info > 0) {
*rcond = 0.;
return 0;
}
}
/* Compute the norm of the matrix A. */
anorm = dlansy_("1", uplo, n, &a[a_offset], lda, &work[1]);
/* Compute the reciprocal of the condition number of A. */
dpocon_(uplo, n, &af[af_offset], ldaf, &anorm, rcond, &work[1], &iwork[1],
info);
/* Compute the solution matrix X. */
dlacpy_("Full", n, nrhs, &b[b_offset], ldb, &x[x_offset], ldx);
dpotrs_(uplo, n, nrhs, &af[af_offset], ldaf, &x[x_offset], ldx, info);
/* Use iterative refinement to improve the computed solution and */
/* compute error bounds and backward error estimates for it. */
dporfs_(uplo, n, nrhs, &a[a_offset], lda, &af[af_offset], ldaf, &b[
b_offset], ldb, &x[x_offset], ldx, &ferr[1], &berr[1], &work[1], &
iwork[1], info);
/* Transform the solution matrix X to a solution of the original */
/* system. */
if (rcequ) {
i__1 = *nrhs;
for (j = 1; j <= i__1; ++j) {
i__2 = *n;
for (i__ = 1; i__ <= i__2; ++i__) {
x[i__ + j * x_dim1] = s[i__] * x[i__ + j * x_dim1];
}
}
i__1 = *nrhs;
for (j = 1; j <= i__1; ++j) {
ferr[j] /= scond;
}
}
/* Set INFO = N+1 if the matrix is singular to working precision. */
if (*rcond < dlamch_("Epsilon")) {
*info = *n + 1;
}
return 0;
/* End of DPOSVX */
} /* dposvx_ */
/* Subroutine */ int derrpo_(char *path, integer *nunit)
{
/* Builtin functions */
integer s_wsle(cilist *), e_wsle(void);
/* Subroutine */ int s_copy(char *, char *, ftnlen, ftnlen);
/* Local variables */
doublereal a[16] /* was [4][4] */, b[4];
integer i__, j;
doublereal w[12], x[4];
char c2[2];
doublereal r1[4], r2[4], af[16] /* was [4][4] */;
integer iw[4], info;
doublereal anrm, rcond;
extern /* Subroutine */ int dpbtf2_(char *, integer *, integer *,
doublereal *, integer *, integer *), dpotf2_(char *,
integer *, doublereal *, integer *, integer *), alaesm_(
char *, logical *, integer *), dpbcon_(char *, integer *,
integer *, doublereal *, integer *, doublereal *, doublereal *,
doublereal *, integer *, integer *);
extern logical lsamen_(integer *, char *, char *);
extern /* Subroutine */ int dpbequ_(char *, integer *, integer *,
doublereal *, integer *, doublereal *, doublereal *, doublereal *,
integer *), dpbrfs_(char *, integer *, integer *,
integer *, doublereal *, integer *, doublereal *, integer *,
doublereal *, integer *, doublereal *, integer *, doublereal *,
doublereal *, doublereal *, integer *, integer *),
dpbtrf_(char *, integer *, integer *, doublereal *, integer *,
integer *), dpocon_(char *, integer *, doublereal *,
integer *, doublereal *, doublereal *, doublereal *, integer *,
integer *), chkxer_(char *, integer *, integer *, logical
*, logical *), dppcon_(char *, integer *, doublereal *,
doublereal *, doublereal *, doublereal *, integer *, integer *), dpoequ_(integer *, doublereal *, integer *, doublereal *,
doublereal *, doublereal *, integer *), dpbtrs_(char *, integer *
, integer *, integer *, doublereal *, integer *, doublereal *,
integer *, integer *), dporfs_(char *, integer *, integer
*, doublereal *, integer *, doublereal *, integer *, doublereal *,
integer *, doublereal *, integer *, doublereal *, doublereal *,
doublereal *, integer *, integer *), dpotrf_(char *,
integer *, doublereal *, integer *, integer *), dpotri_(
char *, integer *, doublereal *, integer *, integer *),
dppequ_(char *, integer *, doublereal *, doublereal *, doublereal
*, doublereal *, integer *), dpprfs_(char *, integer *,
integer *, doublereal *, doublereal *, doublereal *, integer *,
doublereal *, integer *, doublereal *, doublereal *, doublereal *,
integer *, integer *), dpptrf_(char *, integer *,
doublereal *, integer *), dpptri_(char *, integer *,
doublereal *, integer *), dpotrs_(char *, integer *,
integer *, doublereal *, integer *, doublereal *, integer *,
integer *), dpptrs_(char *, integer *, integer *,
doublereal *, doublereal *, 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 */
/* ======= */
/* DERRPO tests the error exits for the DOUBLE PRECISION routines */
/* for symmetric positive definite matrices. */
/* Arguments */
/* ========= */
/* PATH (input) CHARACTER*3 */
/* The LAPACK path name for the routines to be tested. */
/* NUNIT (input) INTEGER */
/* The unit number for output. */
/* ===================================================================== */
/* .. Parameters .. */
/* .. */
/* .. Local Scalars .. */
/* .. */
/* .. Local Arrays .. */
/* .. */
/* .. External Functions .. */
/* .. */
/* .. External Subroutines .. */
/* .. */
/* .. Scalars in Common .. */
/* .. */
/* .. Common blocks .. */
/* .. */
/* .. Intrinsic Functions .. */
/* .. */
/* .. Executable Statements .. */
infoc_1.nout = *nunit;
io___1.ciunit = infoc_1.nout;
s_wsle(&io___1);
e_wsle();
s_copy(c2, path + 1, (ftnlen)2, (ftnlen)2);
/* Set the variables to innocuous values. */
for (j = 1; j <= 4; ++j) {
for (i__ = 1; i__ <= 4; ++i__) {
a[i__ + (j << 2) - 5] = 1. / (doublereal) (i__ + j);
af[i__ + (j << 2) - 5] = 1. / (doublereal) (i__ + j);
/* L10: */
}
b[j - 1] = 0.;
r1[j - 1] = 0.;
r2[j - 1] = 0.;
w[j - 1] = 0.;
x[j - 1] = 0.;
iw[j - 1] = j;
/* L20: */
}
infoc_1.ok = TRUE_;
if (lsamen_(&c__2, c2, "PO")) {
/* Test error exits of the routines that use the Cholesky */
/* decomposition of a symmetric positive definite matrix. */
/* DPOTRF */
s_copy(srnamc_1.srnamt, "DPOTRF", (ftnlen)32, (ftnlen)6);
infoc_1.infot = 1;
dpotrf_("/", &c__0, a, &c__1, &info);
chkxer_("DPOTRF", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
dpotrf_("U", &c_n1, a, &c__1, &info);
chkxer_("DPOTRF", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 4;
dpotrf_("U", &c__2, a, &c__1, &info);
chkxer_("DPOTRF", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
/* DPOTF2 */
s_copy(srnamc_1.srnamt, "DPOTF2", (ftnlen)32, (ftnlen)6);
infoc_1.infot = 1;
dpotf2_("/", &c__0, a, &c__1, &info);
chkxer_("DPOTF2", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
dpotf2_("U", &c_n1, a, &c__1, &info);
chkxer_("DPOTF2", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 4;
dpotf2_("U", &c__2, a, &c__1, &info);
chkxer_("DPOTF2", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
/* DPOTRI */
s_copy(srnamc_1.srnamt, "DPOTRI", (ftnlen)32, (ftnlen)6);
infoc_1.infot = 1;
dpotri_("/", &c__0, a, &c__1, &info);
chkxer_("DPOTRI", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
dpotri_("U", &c_n1, a, &c__1, &info);
chkxer_("DPOTRI", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 4;
dpotri_("U", &c__2, a, &c__1, &info);
chkxer_("DPOTRI", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
/* DPOTRS */
s_copy(srnamc_1.srnamt, "DPOTRS", (ftnlen)32, (ftnlen)6);
infoc_1.infot = 1;
dpotrs_("/", &c__0, &c__0, a, &c__1, b, &c__1, &info);
chkxer_("DPOTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
dpotrs_("U", &c_n1, &c__0, a, &c__1, b, &c__1, &info);
chkxer_("DPOTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 3;
dpotrs_("U", &c__0, &c_n1, a, &c__1, b, &c__1, &info);
chkxer_("DPOTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 5;
dpotrs_("U", &c__2, &c__1, a, &c__1, b, &c__2, &info);
chkxer_("DPOTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 7;
dpotrs_("U", &c__2, &c__1, a, &c__2, b, &c__1, &info);
chkxer_("DPOTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
/* DPORFS */
s_copy(srnamc_1.srnamt, "DPORFS", (ftnlen)32, (ftnlen)6);
infoc_1.infot = 1;
dporfs_("/", &c__0, &c__0, a, &c__1, af, &c__1, b, &c__1, x, &c__1,
r1, r2, w, iw, &info);
chkxer_("DPORFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
dporfs_("U", &c_n1, &c__0, a, &c__1, af, &c__1, b, &c__1, x, &c__1,
r1, r2, w, iw, &info);
chkxer_("DPORFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 3;
dporfs_("U", &c__0, &c_n1, a, &c__1, af, &c__1, b, &c__1, x, &c__1,
r1, r2, w, iw, &info);
chkxer_("DPORFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 5;
dporfs_("U", &c__2, &c__1, a, &c__1, af, &c__2, b, &c__2, x, &c__2,
r1, r2, w, iw, &info);
chkxer_("DPORFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 7;
dporfs_("U", &c__2, &c__1, a, &c__2, af, &c__1, b, &c__2, x, &c__2,
r1, r2, w, iw, &info);
chkxer_("DPORFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 9;
dporfs_("U", &c__2, &c__1, a, &c__2, af, &c__2, b, &c__1, x, &c__2,
r1, r2, w, iw, &info);
chkxer_("DPORFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 11;
dporfs_("U", &c__2, &c__1, a, &c__2, af, &c__2, b, &c__2, x, &c__1,
r1, r2, w, iw, &info);
chkxer_("DPORFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
/* DPOCON */
s_copy(srnamc_1.srnamt, "DPOCON", (ftnlen)32, (ftnlen)6);
infoc_1.infot = 1;
dpocon_("/", &c__0, a, &c__1, &anrm, &rcond, w, iw, &info);
chkxer_("DPOCON", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
dpocon_("U", &c_n1, a, &c__1, &anrm, &rcond, w, iw, &info);
chkxer_("DPOCON", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 4;
dpocon_("U", &c__2, a, &c__1, &anrm, &rcond, w, iw, &info);
chkxer_("DPOCON", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
/* DPOEQU */
s_copy(srnamc_1.srnamt, "DPOEQU", (ftnlen)32, (ftnlen)6);
infoc_1.infot = 1;
dpoequ_(&c_n1, a, &c__1, r1, &rcond, &anrm, &info);
chkxer_("DPOEQU", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 3;
dpoequ_(&c__2, a, &c__1, r1, &rcond, &anrm, &info);
chkxer_("DPOEQU", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
} else if (lsamen_(&c__2, c2, "PP")) {
/* Test error exits of the routines that use the Cholesky */
/* decomposition of a symmetric positive definite packed matrix. */
/* DPPTRF */
s_copy(srnamc_1.srnamt, "DPPTRF", (ftnlen)32, (ftnlen)6);
infoc_1.infot = 1;
dpptrf_("/", &c__0, a, &info);
chkxer_("DPPTRF", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
dpptrf_("U", &c_n1, a, &info);
chkxer_("DPPTRF", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
/* DPPTRI */
s_copy(srnamc_1.srnamt, "DPPTRI", (ftnlen)32, (ftnlen)6);
infoc_1.infot = 1;
dpptri_("/", &c__0, a, &info);
chkxer_("DPPTRI", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
dpptri_("U", &c_n1, a, &info);
chkxer_("DPPTRI", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
/* DPPTRS */
s_copy(srnamc_1.srnamt, "DPPTRS", (ftnlen)32, (ftnlen)6);
infoc_1.infot = 1;
dpptrs_("/", &c__0, &c__0, a, b, &c__1, &info);
chkxer_("DPPTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
dpptrs_("U", &c_n1, &c__0, a, b, &c__1, &info);
chkxer_("DPPTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 3;
dpptrs_("U", &c__0, &c_n1, a, b, &c__1, &info);
chkxer_("DPPTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 6;
dpptrs_("U", &c__2, &c__1, a, b, &c__1, &info);
chkxer_("DPPTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
/* DPPRFS */
s_copy(srnamc_1.srnamt, "DPPRFS", (ftnlen)32, (ftnlen)6);
infoc_1.infot = 1;
dpprfs_("/", &c__0, &c__0, a, af, b, &c__1, x, &c__1, r1, r2, w, iw, &
info);
chkxer_("DPPRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
dpprfs_("U", &c_n1, &c__0, a, af, b, &c__1, x, &c__1, r1, r2, w, iw, &
info);
chkxer_("DPPRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 3;
dpprfs_("U", &c__0, &c_n1, a, af, b, &c__1, x, &c__1, r1, r2, w, iw, &
info);
chkxer_("DPPRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 7;
dpprfs_("U", &c__2, &c__1, a, af, b, &c__1, x, &c__2, r1, r2, w, iw, &
info);
chkxer_("DPPRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 9;
dpprfs_("U", &c__2, &c__1, a, af, b, &c__2, x, &c__1, r1, r2, w, iw, &
info);
chkxer_("DPPRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
/* DPPCON */
s_copy(srnamc_1.srnamt, "DPPCON", (ftnlen)32, (ftnlen)6);
infoc_1.infot = 1;
dppcon_("/", &c__0, a, &anrm, &rcond, w, iw, &info);
chkxer_("DPPCON", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
dppcon_("U", &c_n1, a, &anrm, &rcond, w, iw, &info);
chkxer_("DPPCON", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
/* DPPEQU */
s_copy(srnamc_1.srnamt, "DPPEQU", (ftnlen)32, (ftnlen)6);
infoc_1.infot = 1;
dppequ_("/", &c__0, a, r1, &rcond, &anrm, &info);
chkxer_("DPPEQU", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
dppequ_("U", &c_n1, a, r1, &rcond, &anrm, &info);
chkxer_("DPPEQU", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
} else if (lsamen_(&c__2, c2, "PB")) {
/* Test error exits of the routines that use the Cholesky */
/* decomposition of a symmetric positive definite band matrix. */
/* DPBTRF */
s_copy(srnamc_1.srnamt, "DPBTRF", (ftnlen)32, (ftnlen)6);
infoc_1.infot = 1;
dpbtrf_("/", &c__0, &c__0, a, &c__1, &info);
chkxer_("DPBTRF", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
dpbtrf_("U", &c_n1, &c__0, a, &c__1, &info);
chkxer_("DPBTRF", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 3;
dpbtrf_("U", &c__1, &c_n1, a, &c__1, &info);
chkxer_("DPBTRF", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 5;
dpbtrf_("U", &c__2, &c__1, a, &c__1, &info);
chkxer_("DPBTRF", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
/* DPBTF2 */
s_copy(srnamc_1.srnamt, "DPBTF2", (ftnlen)32, (ftnlen)6);
infoc_1.infot = 1;
dpbtf2_("/", &c__0, &c__0, a, &c__1, &info);
chkxer_("DPBTF2", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
dpbtf2_("U", &c_n1, &c__0, a, &c__1, &info);
chkxer_("DPBTF2", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 3;
dpbtf2_("U", &c__1, &c_n1, a, &c__1, &info);
chkxer_("DPBTF2", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 5;
dpbtf2_("U", &c__2, &c__1, a, &c__1, &info);
chkxer_("DPBTF2", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
/* DPBTRS */
s_copy(srnamc_1.srnamt, "DPBTRS", (ftnlen)32, (ftnlen)6);
infoc_1.infot = 1;
dpbtrs_("/", &c__0, &c__0, &c__0, a, &c__1, b, &c__1, &info);
chkxer_("DPBTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
dpbtrs_("U", &c_n1, &c__0, &c__0, a, &c__1, b, &c__1, &info);
chkxer_("DPBTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 3;
dpbtrs_("U", &c__1, &c_n1, &c__0, a, &c__1, b, &c__1, &info);
chkxer_("DPBTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 4;
dpbtrs_("U", &c__0, &c__0, &c_n1, a, &c__1, b, &c__1, &info);
chkxer_("DPBTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 6;
dpbtrs_("U", &c__2, &c__1, &c__1, a, &c__1, b, &c__1, &info);
chkxer_("DPBTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 8;
dpbtrs_("U", &c__2, &c__0, &c__1, a, &c__1, b, &c__1, &info);
chkxer_("DPBTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
/* DPBRFS */
s_copy(srnamc_1.srnamt, "DPBRFS", (ftnlen)32, (ftnlen)6);
infoc_1.infot = 1;
dpbrfs_("/", &c__0, &c__0, &c__0, a, &c__1, af, &c__1, b, &c__1, x, &
c__1, r1, r2, w, iw, &info);
chkxer_("DPBRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
dpbrfs_("U", &c_n1, &c__0, &c__0, a, &c__1, af, &c__1, b, &c__1, x, &
c__1, r1, r2, w, iw, &info);
chkxer_("DPBRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 3;
dpbrfs_("U", &c__1, &c_n1, &c__0, a, &c__1, af, &c__1, b, &c__1, x, &
c__1, r1, r2, w, iw, &info);
chkxer_("DPBRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 4;
dpbrfs_("U", &c__0, &c__0, &c_n1, a, &c__1, af, &c__1, b, &c__1, x, &
c__1, r1, r2, w, iw, &info);
chkxer_("DPBRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 6;
dpbrfs_("U", &c__2, &c__1, &c__1, a, &c__1, af, &c__2, b, &c__2, x, &
c__2, r1, r2, w, iw, &info);
chkxer_("DPBRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 8;
dpbrfs_("U", &c__2, &c__1, &c__1, a, &c__2, af, &c__1, b, &c__2, x, &
c__2, r1, r2, w, iw, &info);
chkxer_("DPBRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 10;
dpbrfs_("U", &c__2, &c__0, &c__1, a, &c__1, af, &c__1, b, &c__1, x, &
c__2, r1, r2, w, iw, &info);
chkxer_("DPBRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 12;
dpbrfs_("U", &c__2, &c__0, &c__1, a, &c__1, af, &c__1, b, &c__2, x, &
c__1, r1, r2, w, iw, &info);
chkxer_("DPBRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
/* DPBCON */
s_copy(srnamc_1.srnamt, "DPBCON", (ftnlen)32, (ftnlen)6);
infoc_1.infot = 1;
dpbcon_("/", &c__0, &c__0, a, &c__1, &anrm, &rcond, w, iw, &info);
chkxer_("DPBCON", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
dpbcon_("U", &c_n1, &c__0, a, &c__1, &anrm, &rcond, w, iw, &info);
chkxer_("DPBCON", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 3;
dpbcon_("U", &c__1, &c_n1, a, &c__1, &anrm, &rcond, w, iw, &info);
chkxer_("DPBCON", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 5;
dpbcon_("U", &c__2, &c__1, a, &c__1, &anrm, &rcond, w, iw, &info);
chkxer_("DPBCON", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
/* DPBEQU */
s_copy(srnamc_1.srnamt, "DPBEQU", (ftnlen)32, (ftnlen)6);
infoc_1.infot = 1;
dpbequ_("/", &c__0, &c__0, a, &c__1, r1, &rcond, &anrm, &info);
chkxer_("DPBEQU", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
dpbequ_("U", &c_n1, &c__0, a, &c__1, r1, &rcond, &anrm, &info);
chkxer_("DPBEQU", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 3;
dpbequ_("U", &c__1, &c_n1, a, &c__1, r1, &rcond, &anrm, &info);
chkxer_("DPBEQU", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 5;
dpbequ_("U", &c__2, &c__1, a, &c__1, r1, &rcond, &anrm, &info);
chkxer_("DPBEQU", &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 DERRPO */
} /* derrpo_ */
/* Subroutine */ int dchkpo_(logical *dotype, integer *nn, integer *nval,
integer *nnb, integer *nbval, integer *nns, integer *nsval,
doublereal *thresh, logical *tsterr, integer *nmax, doublereal *a,
doublereal *afac, doublereal *ainv, doublereal *b, doublereal *x,
doublereal *xact, doublereal *work, doublereal *rwork, integer *iwork,
integer *nout)
{
/* Initialized data */
static integer iseedy[4] = { 1988,1989,1990,1991 };
static char uplos[1*2] = "U" "L";
/* Format strings */
static char fmt_9999[] = "(\002 UPLO = '\002,a1,\002', N =\002,i5,\002, "
"NB =\002,i4,\002, type \002,i2,\002, test \002,i2,\002, ratio "
"=\002,g12.5)";
static char fmt_9998[] = "(\002 UPLO = '\002,a1,\002', N =\002,i5,\002, "
"NRHS=\002,i3,\002, type \002,i2,\002, test(\002,i2,\002) =\002,g"
"12.5)";
static char fmt_9997[] = "(\002 UPLO = '\002,a1,\002', N =\002,i5,\002"
",\002,10x,\002 type \002,i2,\002, test(\002,i2,\002) =\002,g12.5)"
;
/* System generated locals */
integer i__1, i__2, i__3, i__4;
/* 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__, k, n, nb, in, kl, ku, lda, inb, ioff, mode, imat, info;
char path[3], dist[1];
integer irhs, nrhs;
char uplo[1], type__[1];
integer nrun;
extern /* Subroutine */ int alahd_(integer *, char *), dget04_(
integer *, integer *, doublereal *, integer *, doublereal *,
integer *, doublereal *, doublereal *);
integer nfail, iseed[4];
extern doublereal dget06_(doublereal *, doublereal *);
doublereal rcond;
extern /* Subroutine */ int dpot01_(char *, integer *, doublereal *,
integer *, doublereal *, integer *, doublereal *, doublereal *);
integer nimat;
extern /* Subroutine */ int dpot02_(char *, integer *, integer *,
doublereal *, integer *, doublereal *, integer *, doublereal *,
integer *, doublereal *, doublereal *), dpot03_(char *,
integer *, doublereal *, integer *, doublereal *, integer *,
doublereal *, integer *, doublereal *, doublereal *, doublereal *), dpot05_(char *, integer *, integer *, doublereal *,
integer *, doublereal *, integer *, doublereal *, integer *,
doublereal *, integer *, doublereal *, doublereal *, doublereal *);
doublereal anorm;
integer iuplo, izero, nerrs;
logical zerot;
char xtype[1];
extern /* Subroutine */ int dlatb4_(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;
extern /* Subroutine */ int dlacpy_(char *, integer *, integer *,
doublereal *, integer *, doublereal *, integer *),
dlarhs_(char *, char *, char *, char *, integer *, integer *,
integer *, integer *, integer *, doublereal *, integer *,
doublereal *, integer *, doublereal *, integer *, integer *,
integer *), alasum_(char *,
integer *, integer *, integer *, integer *);
doublereal cndnum;
extern /* Subroutine */ int dlatms_(integer *, integer *, char *, integer
*, char *, doublereal *, integer *, doublereal *, doublereal *,
integer *, integer *, char *, doublereal *, integer *, doublereal
*, integer *), dpocon_(char *, integer *,
doublereal *, integer *, doublereal *, doublereal *, doublereal *,
integer *, integer *);
extern doublereal dlansy_(char *, char *, integer *, doublereal *,
integer *, doublereal *);
extern /* Subroutine */ int derrpo_(char *, integer *), dporfs_(
char *, integer *, integer *, doublereal *, integer *, doublereal
*, integer *, doublereal *, integer *, doublereal *, integer *,
doublereal *, doublereal *, doublereal *, integer *, integer *), dpotrf_(char *, integer *, doublereal *, integer *,
integer *), xlaenv_(integer *, integer *), dpotri_(char *,
integer *, doublereal *, integer *, integer *), dpotrs_(
char *, integer *, integer *, doublereal *, integer *, doublereal
*, integer *, integer *);
doublereal result[8];
/* Fortran I/O blocks */
static cilist io___33 = { 0, 0, 0, fmt_9999, 0 };
static cilist io___36 = { 0, 0, 0, fmt_9998, 0 };
static cilist io___38 = { 0, 0, 0, fmt_9997, 0 };
/* -- LAPACK test routine (version 3.1) -- */
/* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */
/* November 2006 */
/* .. Scalar Arguments .. */
/* .. */
/* .. Array Arguments .. */
/* .. */
/* Purpose */
/* ======= */
/* DCHKPO tests DPOTRF, -TRI, -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. */
/* NNB (input) INTEGER */
/* The number of values of NB contained in the vector NBVAL. */
/* NBVAL (input) INTEGER array, dimension (NBVAL) */
/* The values of the blocksize NB. */
/* 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. */
/* NMAX (input) INTEGER */
/* The maximum value permitted for N, used in dimensioning the */
/* work arrays. */
/* A (workspace) DOUBLE PRECISION array, dimension (NMAX*NMAX) */
/* AFAC (workspace) DOUBLE PRECISION array, dimension (NMAX*NMAX) */
/* AINV (workspace) DOUBLE PRECISION array, dimension (NMAX*NMAX) */
/* B (workspace) DOUBLE PRECISION array, dimension (NMAX*NSMAX) */
/* where NSMAX is the largest entry in NSVAL. */
/* X (workspace) DOUBLE PRECISION array, dimension (NMAX*NSMAX) */
/* XACT (workspace) DOUBLE PRECISION array, dimension (NMAX*NSMAX) */
/* WORK (workspace) DOUBLE PRECISION 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 .. */
/* .. */
/* .. Scalars in Common .. */
/* .. */
/* .. Common blocks .. */
/* .. */
/* .. Intrinsic Functions .. */
/* .. */
/* .. Data statements .. */
/* Parameter adjustments */
--iwork;
--rwork;
--work;
--xact;
--x;
--b;
--ainv;
--afac;
--a;
--nsval;
--nbval;
--nval;
--dotype;
/* Function Body */
/* .. */
/* .. Executable Statements .. */
/* Initialize constants and the random number seed. */
s_copy(path, "Double precision", (ftnlen)1, (ftnlen)16);
s_copy(path + 1, "PO", (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) {
derrpo_(path, nout);
}
infoc_1.infot = 0;
xlaenv_(&c__2, &c__2);
/* Do for each value of N in NVAL */
i__1 = *nn;
for (in = 1; in <= i__1; ++in) {
n = nval[in];
lda = max(n,1);
*(unsigned char *)xtype = 'N';
nimat = 9;
if (n <= 0) {
nimat = 1;
}
izero = 0;
i__2 = nimat;
for (imat = 1; imat <= i__2; ++imat) {
/* Do the tests only if DOTYPE( IMAT ) is true. */
if (! dotype[imat]) {
goto L110;
}
/* Skip types 3, 4, or 5 if the matrix size is too small. */
zerot = imat >= 3 && imat <= 5;
if (zerot && n < imat - 2) {
goto L110;
}
/* Do first for UPLO = 'U', then for UPLO = 'L' */
for (iuplo = 1; iuplo <= 2; ++iuplo) {
*(unsigned char *)uplo = *(unsigned char *)&uplos[iuplo - 1];
/* Set up parameters with DLATB4 and generate a test matrix */
/* with DLATMS. */
dlatb4_(path, &imat, &n, &n, type__, &kl, &ku, &anorm, &mode,
&cndnum, dist);
s_copy(srnamc_1.srnamt, "DLATMS", (ftnlen)6, (ftnlen)6);
dlatms_(&n, &n, dist, iseed, type__, &rwork[1], &mode, &
cndnum, &anorm, &kl, &ku, uplo, &a[1], &lda, &work[1],
&info);
/* Check error code from DLATMS. */
if (info != 0) {
alaerh_(path, "DLATMS", &info, &c__0, uplo, &n, &n, &c_n1,
&c_n1, &c_n1, &imat, &nfail, &nerrs, nout);
goto L100;
}
/* For types 3-5, zero one row and column of the matrix to */
/* test that INFO is returned correctly. */
if (zerot) {
if (imat == 3) {
izero = 1;
} else if (imat == 4) {
izero = n;
} else {
izero = n / 2 + 1;
}
ioff = (izero - 1) * lda;
/* Set row and column IZERO of A to 0. */
if (iuplo == 1) {
i__3 = izero - 1;
for (i__ = 1; i__ <= i__3; ++i__) {
a[ioff + i__] = 0.;
/* L20: */
}
ioff += izero;
i__3 = n;
for (i__ = izero; i__ <= i__3; ++i__) {
a[ioff] = 0.;
ioff += lda;
/* L30: */
}
} else {
ioff = izero;
i__3 = izero - 1;
for (i__ = 1; i__ <= i__3; ++i__) {
a[ioff] = 0.;
ioff += lda;
/* L40: */
}
ioff -= izero;
i__3 = n;
for (i__ = izero; i__ <= i__3; ++i__) {
a[ioff + i__] = 0.;
/* L50: */
}
}
} else {
izero = 0;
}
/* Do for each value of NB in NBVAL */
i__3 = *nnb;
for (inb = 1; inb <= i__3; ++inb) {
nb = nbval[inb];
xlaenv_(&c__1, &nb);
/* Compute the L*L' or U'*U factorization of the matrix. */
dlacpy_(uplo, &n, &n, &a[1], &lda, &afac[1], &lda);
s_copy(srnamc_1.srnamt, "DPOTRF", (ftnlen)6, (ftnlen)6);
dpotrf_(uplo, &n, &afac[1], &lda, &info);
/* Check error code from DPOTRF. */
if (info != izero) {
alaerh_(path, "DPOTRF", &info, &izero, uplo, &n, &n, &
c_n1, &c_n1, &nb, &imat, &nfail, &nerrs, nout);
goto L90;
}
/* Skip the tests if INFO is not 0. */
if (info != 0) {
goto L90;
}
/* + TEST 1 */
/* Reconstruct matrix from factors and compute residual. */
dlacpy_(uplo, &n, &n, &afac[1], &lda, &ainv[1], &lda);
dpot01_(uplo, &n, &a[1], &lda, &ainv[1], &lda, &rwork[1],
result);
/* + TEST 2 */
/* Form the inverse and compute the residual. */
dlacpy_(uplo, &n, &n, &afac[1], &lda, &ainv[1], &lda);
s_copy(srnamc_1.srnamt, "DPOTRI", (ftnlen)6, (ftnlen)6);
dpotri_(uplo, &n, &ainv[1], &lda, &info);
/* Check error code from DPOTRI. */
if (info != 0) {
alaerh_(path, "DPOTRI", &info, &c__0, uplo, &n, &n, &
c_n1, &c_n1, &c_n1, &imat, &nfail, &nerrs,
nout);
}
dpot03_(uplo, &n, &a[1], &lda, &ainv[1], &lda, &work[1], &
lda, &rwork[1], &rcondc, &result[1]);
/* Print information about the tests that did not pass */
/* the threshold. */
for (k = 1; k <= 2; ++k) {
if (result[k - 1] >= *thresh) {
if (nfail == 0 && nerrs == 0) {
alahd_(nout, path);
}
io___33.ciunit = *nout;
s_wsfe(&io___33);
do_fio(&c__1, uplo, (ftnlen)1);
do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer))
;
do_fio(&c__1, (char *)&nb, (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;
}
/* L60: */
}
nrun += 2;
/* Skip the rest of the tests unless this is the first */
/* blocksize. */
if (inb != 1) {
goto L90;
}
i__4 = *nns;
for (irhs = 1; irhs <= i__4; ++irhs) {
nrhs = nsval[irhs];
/* + TEST 3 */
/* Solve and compute residual for A * X = B . */
s_copy(srnamc_1.srnamt, "DLARHS", (ftnlen)6, (ftnlen)
6);
dlarhs_(path, xtype, uplo, " ", &n, &n, &kl, &ku, &
nrhs, &a[1], &lda, &xact[1], &lda, &b[1], &
lda, iseed, &info);
dlacpy_("Full", &n, &nrhs, &b[1], &lda, &x[1], &lda);
s_copy(srnamc_1.srnamt, "DPOTRS", (ftnlen)6, (ftnlen)
6);
dpotrs_(uplo, &n, &nrhs, &afac[1], &lda, &x[1], &lda,
&info);
/* Check error code from DPOTRS. */
if (info != 0) {
alaerh_(path, "DPOTRS", &info, &c__0, uplo, &n, &
n, &c_n1, &c_n1, &nrhs, &imat, &nfail, &
nerrs, nout);
}
dlacpy_("Full", &n, &nrhs, &b[1], &lda, &work[1], &
lda);
dpot02_(uplo, &n, &nrhs, &a[1], &lda, &x[1], &lda, &
work[1], &lda, &rwork[1], &result[2]);
/* + TEST 4 */
/* Check solution from generated exact solution. */
dget04_(&n, &nrhs, &x[1], &lda, &xact[1], &lda, &
rcondc, &result[3]);
/* + TESTS 5, 6, and 7 */
/* Use iterative refinement to improve the solution. */
s_copy(srnamc_1.srnamt, "DPORFS", (ftnlen)6, (ftnlen)
6);
dporfs_(uplo, &n, &nrhs, &a[1], &lda, &afac[1], &lda,
&b[1], &lda, &x[1], &lda, &rwork[1], &rwork[
nrhs + 1], &work[1], &iwork[1], &info);
/* Check error code from DPORFS. */
if (info != 0) {
alaerh_(path, "DPORFS", &info, &c__0, uplo, &n, &
n, &c_n1, &c_n1, &nrhs, &imat, &nfail, &
nerrs, nout);
}
dget04_(&n, &nrhs, &x[1], &lda, &xact[1], &lda, &
rcondc, &result[4]);
dpot05_(uplo, &n, &nrhs, &a[1], &lda, &b[1], &lda, &x[
1], &lda, &xact[1], &lda, &rwork[1], &rwork[
nrhs + 1], &result[5]);
/* Print information about the tests that did not pass */
/* the threshold. */
for (k = 3; k <= 7; ++k) {
if (result[k - 1] >= *thresh) {
if (nfail == 0 && nerrs == 0) {
alahd_(nout, path);
}
io___36.ciunit = *nout;
s_wsfe(&io___36);
do_fio(&c__1, uplo, (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: */
}
/* + TEST 8 */
/* Get an estimate of RCOND = 1/CNDNUM. */
anorm = dlansy_("1", uplo, &n, &a[1], &lda, &rwork[1]);
s_copy(srnamc_1.srnamt, "DPOCON", (ftnlen)6, (ftnlen)6);
dpocon_(uplo, &n, &afac[1], &lda, &anorm, &rcond, &work[1]
, &iwork[1], &info);
/* Check error code from DPOCON. */
if (info != 0) {
alaerh_(path, "DPOCON", &info, &c__0, uplo, &n, &n, &
c_n1, &c_n1, &c_n1, &imat, &nfail, &nerrs,
nout);
}
result[7] = dget06_(&rcond, &rcondc);
/* Print the test ratio if it is .GE. THRESH. */
if (result[7] >= *thresh) {
if (nfail == 0 && nerrs == 0) {
alahd_(nout, path);
}
io___38.ciunit = *nout;
s_wsfe(&io___38);
do_fio(&c__1, uplo, (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__8, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&result[7], (ftnlen)sizeof(
doublereal));
e_wsfe();
++nfail;
}
++nrun;
L90:
;
}
L100:
;
}
L110:
;
}
/* L120: */
}
/* Print a summary of the results. */
alasum_(path, nout, &nfail, &nrun, &nerrs);
return 0;
/* End of DCHKPO */
} /* dchkpo_ */
int main(void)
{
/* Local scalars */
char uplo, uplo_i;
lapack_int n, n_i;
lapack_int nrhs, nrhs_i;
lapack_int lda, lda_i;
lapack_int lda_r;
lapack_int ldaf, ldaf_i;
lapack_int ldaf_r;
lapack_int ldb, ldb_i;
lapack_int ldb_r;
lapack_int ldx, ldx_i;
lapack_int ldx_r;
lapack_int info, info_i;
lapack_int i;
int failed;
/* Local arrays */
double *a = NULL, *a_i = NULL;
double *af = NULL, *af_i = NULL;
double *b = NULL, *b_i = NULL;
double *x = NULL, *x_i = NULL;
double *ferr = NULL, *ferr_i = NULL;
double *berr = NULL, *berr_i = NULL;
double *work = NULL, *work_i = NULL;
lapack_int *iwork = NULL, *iwork_i = NULL;
double *x_save = NULL;
double *ferr_save = NULL;
double *berr_save = NULL;
double *a_r = NULL;
double *af_r = NULL;
double *b_r = NULL;
double *x_r = NULL;
/* Iniitialize the scalar parameters */
init_scalars_dporfs( &uplo, &n, &nrhs, &lda, &ldaf, &ldb, &ldx );
lda_r = n+2;
ldaf_r = n+2;
ldb_r = nrhs+2;
ldx_r = nrhs+2;
uplo_i = uplo;
n_i = n;
nrhs_i = nrhs;
lda_i = lda;
ldaf_i = ldaf;
ldb_i = ldb;
ldx_i = ldx;
/* Allocate memory for the LAPACK routine arrays */
a = (double *)LAPACKE_malloc( lda*n * sizeof(double) );
af = (double *)LAPACKE_malloc( ldaf*n * sizeof(double) );
b = (double *)LAPACKE_malloc( ldb*nrhs * sizeof(double) );
x = (double *)LAPACKE_malloc( ldx*nrhs * sizeof(double) );
ferr = (double *)LAPACKE_malloc( nrhs * sizeof(double) );
berr = (double *)LAPACKE_malloc( nrhs * sizeof(double) );
work = (double *)LAPACKE_malloc( 3*n * sizeof(double) );
iwork = (lapack_int *)LAPACKE_malloc( n * sizeof(lapack_int) );
/* Allocate memory for the C interface function arrays */
a_i = (double *)LAPACKE_malloc( lda*n * sizeof(double) );
af_i = (double *)LAPACKE_malloc( ldaf*n * sizeof(double) );
b_i = (double *)LAPACKE_malloc( ldb*nrhs * sizeof(double) );
x_i = (double *)LAPACKE_malloc( ldx*nrhs * sizeof(double) );
ferr_i = (double *)LAPACKE_malloc( nrhs * sizeof(double) );
berr_i = (double *)LAPACKE_malloc( nrhs * sizeof(double) );
work_i = (double *)LAPACKE_malloc( 3*n * sizeof(double) );
iwork_i = (lapack_int *)LAPACKE_malloc( n * sizeof(lapack_int) );
/* Allocate memory for the backup arrays */
x_save = (double *)LAPACKE_malloc( ldx*nrhs * sizeof(double) );
ferr_save = (double *)LAPACKE_malloc( nrhs * sizeof(double) );
berr_save = (double *)LAPACKE_malloc( nrhs * sizeof(double) );
/* Allocate memory for the row-major arrays */
a_r = (double *)LAPACKE_malloc( n*(n+2) * sizeof(double) );
af_r = (double *)LAPACKE_malloc( n*(n+2) * sizeof(double) );
b_r = (double *)LAPACKE_malloc( n*(nrhs+2) * sizeof(double) );
x_r = (double *)LAPACKE_malloc( n*(nrhs+2) * sizeof(double) );
/* Initialize input arrays */
init_a( lda*n, a );
init_af( ldaf*n, af );
init_b( ldb*nrhs, b );
init_x( ldx*nrhs, x );
init_ferr( nrhs, ferr );
init_berr( nrhs, berr );
init_work( 3*n, work );
init_iwork( n, iwork );
/* Backup the ouptut arrays */
for( i = 0; i < ldx*nrhs; i++ ) {
x_save[i] = x[i];
}
for( i = 0; i < nrhs; i++ ) {
ferr_save[i] = ferr[i];
}
for( i = 0; i < nrhs; i++ ) {
berr_save[i] = berr[i];
}
/* Call the LAPACK routine */
dporfs_( &uplo, &n, &nrhs, a, &lda, af, &ldaf, b, &ldb, x, &ldx, ferr, berr,
work, iwork, &info );
/* Initialize input data, call the column-major middle-level
* interface to LAPACK routine and check the results */
for( i = 0; i < lda*n; i++ ) {
a_i[i] = a[i];
}
for( i = 0; i < ldaf*n; i++ ) {
af_i[i] = af[i];
}
for( i = 0; i < ldb*nrhs; i++ ) {
b_i[i] = b[i];
}
for( i = 0; i < ldx*nrhs; i++ ) {
x_i[i] = x_save[i];
}
for( i = 0; i < nrhs; i++ ) {
ferr_i[i] = ferr_save[i];
}
for( i = 0; i < nrhs; i++ ) {
berr_i[i] = berr_save[i];
}
for( i = 0; i < 3*n; i++ ) {
work_i[i] = work[i];
}
for( i = 0; i < n; i++ ) {
iwork_i[i] = iwork[i];
}
info_i = LAPACKE_dporfs_work( LAPACK_COL_MAJOR, uplo_i, n_i, nrhs_i, a_i,
lda_i, af_i, ldaf_i, b_i, ldb_i, x_i, ldx_i,
ferr_i, berr_i, work_i, iwork_i );
failed = compare_dporfs( x, x_i, ferr, ferr_i, berr, berr_i, info, info_i,
ldx, nrhs );
if( failed == 0 ) {
printf( "PASSED: column-major middle-level interface to dporfs\n" );
} else {
printf( "FAILED: column-major middle-level interface to dporfs\n" );
}
/* Initialize input data, call the column-major high-level
* interface to LAPACK routine and check the results */
for( i = 0; i < lda*n; i++ ) {
a_i[i] = a[i];
}
for( i = 0; i < ldaf*n; i++ ) {
af_i[i] = af[i];
}
for( i = 0; i < ldb*nrhs; i++ ) {
b_i[i] = b[i];
}
for( i = 0; i < ldx*nrhs; i++ ) {
x_i[i] = x_save[i];
}
for( i = 0; i < nrhs; i++ ) {
ferr_i[i] = ferr_save[i];
}
for( i = 0; i < nrhs; i++ ) {
berr_i[i] = berr_save[i];
}
for( i = 0; i < 3*n; i++ ) {
work_i[i] = work[i];
}
for( i = 0; i < n; i++ ) {
iwork_i[i] = iwork[i];
}
info_i = LAPACKE_dporfs( LAPACK_COL_MAJOR, uplo_i, n_i, nrhs_i, a_i, lda_i,
af_i, ldaf_i, b_i, ldb_i, x_i, ldx_i, ferr_i,
berr_i );
failed = compare_dporfs( x, x_i, ferr, ferr_i, berr, berr_i, info, info_i,
ldx, nrhs );
if( failed == 0 ) {
printf( "PASSED: column-major high-level interface to dporfs\n" );
} else {
printf( "FAILED: column-major high-level interface to dporfs\n" );
}
/* Initialize input data, call the row-major middle-level
* interface to LAPACK routine and check the results */
for( i = 0; i < lda*n; i++ ) {
a_i[i] = a[i];
}
for( i = 0; i < ldaf*n; i++ ) {
af_i[i] = af[i];
}
for( i = 0; i < ldb*nrhs; i++ ) {
b_i[i] = b[i];
}
for( i = 0; i < ldx*nrhs; i++ ) {
x_i[i] = x_save[i];
}
for( i = 0; i < nrhs; i++ ) {
ferr_i[i] = ferr_save[i];
}
for( i = 0; i < nrhs; i++ ) {
berr_i[i] = berr_save[i];
}
for( i = 0; i < 3*n; i++ ) {
work_i[i] = work[i];
}
for( i = 0; i < n; i++ ) {
iwork_i[i] = iwork[i];
}
LAPACKE_dge_trans( LAPACK_COL_MAJOR, n, n, a_i, lda, a_r, n+2 );
LAPACKE_dge_trans( LAPACK_COL_MAJOR, n, n, af_i, ldaf, af_r, n+2 );
LAPACKE_dge_trans( LAPACK_COL_MAJOR, n, nrhs, b_i, ldb, b_r, nrhs+2 );
LAPACKE_dge_trans( LAPACK_COL_MAJOR, n, nrhs, x_i, ldx, x_r, nrhs+2 );
info_i = LAPACKE_dporfs_work( LAPACK_ROW_MAJOR, uplo_i, n_i, nrhs_i, a_r,
lda_r, af_r, ldaf_r, b_r, ldb_r, x_r, ldx_r,
ferr_i, berr_i, work_i, iwork_i );
LAPACKE_dge_trans( LAPACK_ROW_MAJOR, n, nrhs, x_r, nrhs+2, x_i, ldx );
failed = compare_dporfs( x, x_i, ferr, ferr_i, berr, berr_i, info, info_i,
ldx, nrhs );
if( failed == 0 ) {
printf( "PASSED: row-major middle-level interface to dporfs\n" );
} else {
printf( "FAILED: row-major middle-level interface to dporfs\n" );
}
/* Initialize input data, call the row-major high-level
* interface to LAPACK routine and check the results */
for( i = 0; i < lda*n; i++ ) {
a_i[i] = a[i];
}
for( i = 0; i < ldaf*n; i++ ) {
af_i[i] = af[i];
}
for( i = 0; i < ldb*nrhs; i++ ) {
b_i[i] = b[i];
}
for( i = 0; i < ldx*nrhs; i++ ) {
x_i[i] = x_save[i];
}
for( i = 0; i < nrhs; i++ ) {
ferr_i[i] = ferr_save[i];
}
for( i = 0; i < nrhs; i++ ) {
berr_i[i] = berr_save[i];
}
for( i = 0; i < 3*n; i++ ) {
work_i[i] = work[i];
}
for( i = 0; i < n; i++ ) {
iwork_i[i] = iwork[i];
}
/* Init row_major arrays */
LAPACKE_dge_trans( LAPACK_COL_MAJOR, n, n, a_i, lda, a_r, n+2 );
LAPACKE_dge_trans( LAPACK_COL_MAJOR, n, n, af_i, ldaf, af_r, n+2 );
LAPACKE_dge_trans( LAPACK_COL_MAJOR, n, nrhs, b_i, ldb, b_r, nrhs+2 );
LAPACKE_dge_trans( LAPACK_COL_MAJOR, n, nrhs, x_i, ldx, x_r, nrhs+2 );
info_i = LAPACKE_dporfs( LAPACK_ROW_MAJOR, uplo_i, n_i, nrhs_i, a_r, lda_r,
af_r, ldaf_r, b_r, ldb_r, x_r, ldx_r, ferr_i,
berr_i );
LAPACKE_dge_trans( LAPACK_ROW_MAJOR, n, nrhs, x_r, nrhs+2, x_i, ldx );
failed = compare_dporfs( x, x_i, ferr, ferr_i, berr, berr_i, info, info_i,
ldx, nrhs );
if( failed == 0 ) {
printf( "PASSED: row-major high-level interface to dporfs\n" );
} else {
printf( "FAILED: row-major high-level interface to dporfs\n" );
}
/* Release memory */
if( a != NULL ) {
LAPACKE_free( a );
}
if( a_i != NULL ) {
LAPACKE_free( a_i );
}
if( a_r != NULL ) {
LAPACKE_free( a_r );
}
if( af != NULL ) {
LAPACKE_free( af );
}
if( af_i != NULL ) {
LAPACKE_free( af_i );
}
if( af_r != NULL ) {
LAPACKE_free( af_r );
}
if( b != NULL ) {
LAPACKE_free( b );
}
if( b_i != NULL ) {
LAPACKE_free( b_i );
}
if( b_r != NULL ) {
LAPACKE_free( b_r );
}
if( x != NULL ) {
LAPACKE_free( x );
}
if( x_i != NULL ) {
LAPACKE_free( x_i );
}
if( x_r != NULL ) {
LAPACKE_free( x_r );
}
if( x_save != NULL ) {
LAPACKE_free( x_save );
}
if( ferr != NULL ) {
LAPACKE_free( ferr );
}
if( ferr_i != NULL ) {
LAPACKE_free( ferr_i );
}
if( ferr_save != NULL ) {
LAPACKE_free( ferr_save );
}
if( berr != NULL ) {
LAPACKE_free( berr );
}
if( berr_i != NULL ) {
LAPACKE_free( berr_i );
}
if( berr_save != NULL ) {
LAPACKE_free( berr_save );
}
if( work != NULL ) {
LAPACKE_free( work );
}
if( work_i != NULL ) {
LAPACKE_free( work_i );
}
if( iwork != NULL ) {
LAPACKE_free( iwork );
}
if( iwork_i != NULL ) {
LAPACKE_free( iwork_i );
}
return 0;
}
