/* Subroutine */ int zpprfs_(char *uplo, integer *n, integer *nrhs,
doublecomplex *ap, doublecomplex *afp, doublecomplex *b, integer *ldb,
doublecomplex *x, integer *ldx, doublereal *ferr, doublereal *berr,
doublecomplex *work, doublereal *rwork, integer *info)
{
/* System generated locals */
integer b_dim1, b_offset, x_dim1, x_offset, i__1, i__2, i__3, i__4, i__5;
doublereal d__1, d__2, d__3, d__4;
doublecomplex z__1;
/* Builtin functions */
double d_imag(doublecomplex *);
/* Local variables */
integer i__, j, k;
doublereal s;
integer ik, kk;
doublereal xk;
integer nz;
doublereal eps;
integer kase;
doublereal safe1, safe2;
extern logical lsame_(char *, char *);
integer isave[3], count;
logical upper;
extern /* Subroutine */ int zcopy_(integer *, doublecomplex *, integer *,
doublecomplex *, integer *), zhpmv_(char *, integer *,
doublecomplex *, doublecomplex *, doublecomplex *, integer *,
doublecomplex *, doublecomplex *, integer *), zaxpy_(
integer *, doublecomplex *, doublecomplex *, integer *,
doublecomplex *, integer *), zlacn2_(integer *, doublecomplex *,
doublecomplex *, doublereal *, integer *, integer *);
extern doublereal dlamch_(char *);
doublereal safmin;
extern /* Subroutine */ int xerbla_(char *, integer *);
doublereal lstres;
extern /* Subroutine */ int zpptrs_(char *, integer *, integer *,
doublecomplex *, doublecomplex *, integer *, integer *);
/* -- LAPACK routine (version 3.1) -- */
/* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */
/* November 2006 */
/* Modified to call ZLACN2 in place of ZLACON, 10 Feb 03, SJH. */
/* .. Scalar Arguments .. */
/* .. */
/* .. Array Arguments .. */
/* .. */
/* Purpose */
/* ======= */
/* ZPPRFS improves the computed solution to a system of linear */
/* equations when the coefficient matrix is Hermitian positive definite */
/* and packed, and provides error bounds and backward error estimates */
/* for the solution. */
/* Arguments */
/* ========= */
/* UPLO (input) CHARACTER*1 */
/* = 'U': Upper triangle of A is stored; */
/* = 'L': Lower triangle of A is stored. */
/* 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 matrices B and X. NRHS >= 0. */
/* AP (input) COMPLEX*16 array, dimension (N*(N+1)/2) */
/* The upper or lower triangle of the Hermitian matrix A, packed */
/* columnwise in a linear array. The j-th column of A is stored */
/* in the array AP as follows: */
/* if UPLO = 'U', AP(i + (j-1)*j/2) = A(i,j) for 1<=i<=j; */
/* if UPLO = 'L', AP(i + (j-1)*(2n-j)/2) = A(i,j) for j<=i<=n. */
/* AFP (input) COMPLEX*16 array, dimension (N*(N+1)/2) */
/* The triangular factor U or L from the Cholesky factorization */
/* A = U**H*U or A = L*L**H, as computed by DPPTRF/ZPPTRF, */
/* packed columnwise in a linear array in the same format as A */
/* (see AP). */
/* B (input) COMPLEX*16 array, dimension (LDB,NRHS) */
/* The right hand side matrix B. */
/* LDB (input) INTEGER */
/* The leading dimension of the array B. LDB >= max(1,N). */
/* X (input/output) COMPLEX*16 array, dimension (LDX,NRHS) */
/* On entry, the solution matrix X, as computed by ZPPTRS. */
/* On exit, the improved solution matrix X. */
/* LDX (input) INTEGER */
/* The leading dimension of the array X. LDX >= max(1,N). */
/* 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 */
/* Internal Parameters */
/* =================== */
/* ITMAX is the maximum number of steps of iterative refinement. */
/* ==================================================================== */
/* .. Parameters .. */
/* .. */
/* .. Local Scalars .. */
/* .. */
/* .. Local Arrays .. */
/* .. */
/* .. External Subroutines .. */
/* .. */
/* .. Intrinsic Functions .. */
/* .. */
/* .. External Functions .. */
/* .. */
/* .. Statement Functions .. */
/* .. */
/* .. Statement Function definitions .. */
/* .. */
/* .. Executable Statements .. */
/* Test the input parameters. */
/* Parameter adjustments */
--ap;
--afp;
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;
upper = lsame_(uplo, "U");
if (! upper && ! lsame_(uplo, "L")) {
*info = -1;
} else if (*n < 0) {
*info = -2;
} else if (*nrhs < 0) {
*info = -3;
} else if (*ldb < max(1,*n)) {
*info = -7;
} else if (*ldx < max(1,*n)) {
*info = -9;
}
if (*info != 0) {
i__1 = -(*info);
xerbla_("ZPPRFS", &i__1);
return 0;
}
/* Quick return if possible */
if (*n == 0 || *nrhs == 0) {
i__1 = *nrhs;
for (j = 1; j <= i__1; ++j) {
ferr[j] = 0.;
berr[j] = 0.;
/* L10: */
}
return 0;
}
/* NZ = maximum number of nonzero elements in each row of A, plus 1 */
nz = *n + 1;
eps = dlamch_("Epsilon");
safmin = dlamch_("Safe minimum");
safe1 = nz * safmin;
safe2 = safe1 / eps;
/* Do for each right hand side */
i__1 = *nrhs;
for (j = 1; j <= i__1; ++j) {
count = 1;
lstres = 3.;
L20:
/* Loop until stopping criterion is satisfied. */
/* Compute residual R = B - A * X */
zcopy_(n, &b[j * b_dim1 + 1], &c__1, &work[1], &c__1);
z__1.r = -1., z__1.i = -0.;
zhpmv_(uplo, n, &z__1, &ap[1], &x[j * x_dim1 + 1], &c__1, &c_b1, &
work[1], &c__1);
/* Compute componentwise relative backward error from formula */
/* max(i) ( abs(R(i)) / ( abs(A)*abs(X) + abs(B) )(i) ) */
/* where abs(Z) is the componentwise absolute value of the matrix */
/* or vector Z. If the i-th component of the denominator is less */
/* than SAFE2, then SAFE1 is added to the i-th components of the */
/* numerator and denominator before dividing. */
i__2 = *n;
for (i__ = 1; i__ <= i__2; ++i__) {
i__3 = i__ + j * b_dim1;
rwork[i__] = (d__1 = b[i__3].r, abs(d__1)) + (d__2 = d_imag(&b[
i__ + j * b_dim1]), abs(d__2));
/* L30: */
}
/* Compute abs(A)*abs(X) + abs(B). */
kk = 1;
if (upper) {
i__2 = *n;
for (k = 1; k <= i__2; ++k) {
s = 0.;
i__3 = k + j * x_dim1;
xk = (d__1 = x[i__3].r, abs(d__1)) + (d__2 = d_imag(&x[k + j *
x_dim1]), abs(d__2));
ik = kk;
i__3 = k - 1;
for (i__ = 1; i__ <= i__3; ++i__) {
i__4 = ik;
rwork[i__] += ((d__1 = ap[i__4].r, abs(d__1)) + (d__2 =
d_imag(&ap[ik]), abs(d__2))) * xk;
i__4 = ik;
i__5 = i__ + j * x_dim1;
s += ((d__1 = ap[i__4].r, abs(d__1)) + (d__2 = d_imag(&ap[
ik]), abs(d__2))) * ((d__3 = x[i__5].r, abs(d__3))
+ (d__4 = d_imag(&x[i__ + j * x_dim1]), abs(d__4)
));
++ik;
/* L40: */
}
i__3 = kk + k - 1;
rwork[k] = rwork[k] + (d__1 = ap[i__3].r, abs(d__1)) * xk + s;
kk += k;
/* L50: */
}
} else {
i__2 = *n;
for (k = 1; k <= i__2; ++k) {
s = 0.;
i__3 = k + j * x_dim1;
xk = (d__1 = x[i__3].r, abs(d__1)) + (d__2 = d_imag(&x[k + j *
x_dim1]), abs(d__2));
i__3 = kk;
rwork[k] += (d__1 = ap[i__3].r, abs(d__1)) * xk;
ik = kk + 1;
i__3 = *n;
for (i__ = k + 1; i__ <= i__3; ++i__) {
i__4 = ik;
rwork[i__] += ((d__1 = ap[i__4].r, abs(d__1)) + (d__2 =
d_imag(&ap[ik]), abs(d__2))) * xk;
i__4 = ik;
i__5 = i__ + j * x_dim1;
s += ((d__1 = ap[i__4].r, abs(d__1)) + (d__2 = d_imag(&ap[
ik]), abs(d__2))) * ((d__3 = x[i__5].r, abs(d__3))
+ (d__4 = d_imag(&x[i__ + j * x_dim1]), abs(d__4)
));
++ik;
/* L60: */
}
rwork[k] += s;
kk += *n - k + 1;
/* L70: */
}
}
s = 0.;
i__2 = *n;
for (i__ = 1; i__ <= i__2; ++i__) {
if (rwork[i__] > safe2) {
/* Computing MAX */
i__3 = i__;
d__3 = s, d__4 = ((d__1 = work[i__3].r, abs(d__1)) + (d__2 =
d_imag(&work[i__]), abs(d__2))) / rwork[i__];
s = max(d__3,d__4);
} else {
/* Computing MAX */
i__3 = i__;
d__3 = s, d__4 = ((d__1 = work[i__3].r, abs(d__1)) + (d__2 =
d_imag(&work[i__]), abs(d__2)) + safe1) / (rwork[i__]
+ safe1);
s = max(d__3,d__4);
}
/* L80: */
}
berr[j] = s;
/* Test stopping criterion. Continue iterating if */
/* 1) The residual BERR(J) is larger than machine epsilon, and */
/* 2) BERR(J) decreased by at least a factor of 2 during the */
/* last iteration, and */
/* 3) At most ITMAX iterations tried. */
if (berr[j] > eps && berr[j] * 2. <= lstres && count <= 5) {
/* Update solution and try again. */
zpptrs_(uplo, n, &c__1, &afp[1], &work[1], n, info);
zaxpy_(n, &c_b1, &work[1], &c__1, &x[j * x_dim1 + 1], &c__1);
lstres = berr[j];
++count;
goto L20;
}
/* Bound error from formula */
/* norm(X - XTRUE) / norm(X) .le. FERR = */
/* norm( abs(inv(A))* */
/* ( abs(R) + NZ*EPS*( abs(A)*abs(X)+abs(B) ))) / norm(X) */
/* where */
/* norm(Z) is the magnitude of the largest component of Z */
/* inv(A) is the inverse of A */
/* abs(Z) is the componentwise absolute value of the matrix or */
/* vector Z */
/* NZ is the maximum number of nonzeros in any row of A, plus 1 */
/* EPS is machine epsilon */
/* The i-th component of abs(R)+NZ*EPS*(abs(A)*abs(X)+abs(B)) */
/* is incremented by SAFE1 if the i-th component of */
/* abs(A)*abs(X) + abs(B) is less than SAFE2. */
/* Use ZLACN2 to estimate the infinity-norm of the matrix */
/* inv(A) * diag(W), */
/* where W = abs(R) + NZ*EPS*( abs(A)*abs(X)+abs(B) ))) */
i__2 = *n;
for (i__ = 1; i__ <= i__2; ++i__) {
if (rwork[i__] > safe2) {
i__3 = i__;
rwork[i__] = (d__1 = work[i__3].r, abs(d__1)) + (d__2 =
d_imag(&work[i__]), abs(d__2)) + nz * eps * rwork[i__]
;
} else {
i__3 = i__;
rwork[i__] = (d__1 = work[i__3].r, abs(d__1)) + (d__2 =
d_imag(&work[i__]), abs(d__2)) + nz * eps * rwork[i__]
+ safe1;
}
/* L90: */
}
kase = 0;
L100:
zlacn2_(n, &work[*n + 1], &work[1], &ferr[j], &kase, isave);
if (kase != 0) {
if (kase == 1) {
/* Multiply by diag(W)*inv(A'). */
zpptrs_(uplo, n, &c__1, &afp[1], &work[1], n, info)
;
i__2 = *n;
for (i__ = 1; i__ <= i__2; ++i__) {
i__3 = i__;
i__4 = i__;
i__5 = i__;
z__1.r = rwork[i__4] * work[i__5].r, z__1.i = rwork[i__4]
* work[i__5].i;
work[i__3].r = z__1.r, work[i__3].i = z__1.i;
/* L110: */
}
} else if (kase == 2) {
/* Multiply by inv(A)*diag(W). */
i__2 = *n;
for (i__ = 1; i__ <= i__2; ++i__) {
i__3 = i__;
i__4 = i__;
i__5 = i__;
z__1.r = rwork[i__4] * work[i__5].r, z__1.i = rwork[i__4]
* work[i__5].i;
work[i__3].r = z__1.r, work[i__3].i = z__1.i;
/* L120: */
}
zpptrs_(uplo, n, &c__1, &afp[1], &work[1], n, info)
;
}
goto L100;
}
/* Normalize error. */
lstres = 0.;
i__2 = *n;
for (i__ = 1; i__ <= i__2; ++i__) {
/* Computing MAX */
i__3 = i__ + j * x_dim1;
d__3 = lstres, d__4 = (d__1 = x[i__3].r, abs(d__1)) + (d__2 =
d_imag(&x[i__ + j * x_dim1]), abs(d__2));
lstres = max(d__3,d__4);
/* L130: */
}
if (lstres != 0.) {
ferr[j] /= lstres;
}
/* L140: */
}
return 0;
/* End of ZPPRFS */
} /* zpprfs_ */
/* Subroutine */ int zerrpo_(char *path, integer *nunit)
{
/* System generated locals */
integer i__1;
doublereal d__1, d__2;
doublecomplex z__1;
/* Builtin functions */
integer s_wsle(cilist *), e_wsle(void);
/* Subroutine */ int s_copy(char *, char *, ftnlen, ftnlen);
/* Local variables */
doublecomplex a[16] /* was [4][4] */, b[4];
integer i__, j;
doublereal r__[4];
doublecomplex w[8], x[4];
char c2[2];
doublereal r1[4], r2[4];
doublecomplex af[16] /* was [4][4] */;
integer info;
doublereal anrm, rcond;
extern /* Subroutine */ int zpbtf2_(char *, integer *, integer *,
doublecomplex *, integer *, integer *), zpotf2_(char *,
integer *, doublecomplex *, integer *, integer *),
alaesm_(char *, logical *, integer *);
extern logical lsamen_(integer *, char *, char *);
extern /* Subroutine */ int chkxer_(char *, integer *, integer *, logical
*, logical *), zpbcon_(char *, integer *, integer *,
doublecomplex *, integer *, doublereal *, doublereal *,
doublecomplex *, doublereal *, integer *), zpbequ_(char *,
integer *, integer *, doublecomplex *, integer *, doublereal *,
doublereal *, doublereal *, integer *), zpbrfs_(char *,
integer *, integer *, integer *, doublecomplex *, integer *,
doublecomplex *, integer *, doublecomplex *, integer *,
doublecomplex *, integer *, doublereal *, doublereal *,
doublecomplex *, doublereal *, integer *), zpbtrf_(char *,
integer *, integer *, doublecomplex *, integer *, integer *), zpocon_(char *, integer *, doublecomplex *, integer *,
doublereal *, doublereal *, doublecomplex *, doublereal *,
integer *), zppcon_(char *, integer *, doublecomplex *,
doublereal *, doublereal *, doublecomplex *, doublereal *,
integer *), zpoequ_(integer *, doublecomplex *, integer *,
doublereal *, doublereal *, doublereal *, integer *), zpbtrs_(
char *, integer *, integer *, integer *, doublecomplex *, integer
*, doublecomplex *, integer *, integer *), zporfs_(char *,
integer *, integer *, doublecomplex *, integer *, doublecomplex *
, integer *, doublecomplex *, integer *, doublecomplex *, integer
*, doublereal *, doublereal *, doublecomplex *, doublereal *,
integer *), zpotrf_(char *, integer *, doublecomplex *,
integer *, integer *), zpotri_(char *, integer *,
doublecomplex *, integer *, integer *), zppequ_(char *,
integer *, doublecomplex *, doublereal *, doublereal *,
doublereal *, integer *), zpprfs_(char *, integer *,
integer *, doublecomplex *, doublecomplex *, doublecomplex *,
integer *, doublecomplex *, integer *, doublereal *, doublereal *,
doublecomplex *, doublereal *, integer *), zpptrf_(char *
, integer *, doublecomplex *, integer *), zpptri_(char *,
integer *, doublecomplex *, integer *), zpotrs_(char *,
integer *, integer *, doublecomplex *, integer *, doublecomplex *,
integer *, integer *), zpptrs_(char *, integer *,
integer *, 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 */
/* ======= */
/* ZERRPO tests the error exits for the COMPLEX*16 routines */
/* for Hermitian 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__) {
i__1 = i__ + (j << 2) - 5;
d__1 = 1. / (doublereal) (i__ + j);
d__2 = -1. / (doublereal) (i__ + j);
z__1.r = d__1, z__1.i = d__2;
a[i__1].r = z__1.r, a[i__1].i = z__1.i;
i__1 = i__ + (j << 2) - 5;
d__1 = 1. / (doublereal) (i__ + j);
d__2 = -1. / (doublereal) (i__ + j);
z__1.r = d__1, z__1.i = d__2;
af[i__1].r = z__1.r, af[i__1].i = z__1.i;
/* L10: */
}
i__1 = j - 1;
b[i__1].r = 0., b[i__1].i = 0.;
r1[j - 1] = 0.;
r2[j - 1] = 0.;
i__1 = j - 1;
w[i__1].r = 0., w[i__1].i = 0.;
i__1 = j - 1;
x[i__1].r = 0., x[i__1].i = 0.;
/* L20: */
}
anrm = 1.;
infoc_1.ok = TRUE_;
/* Test error exits of the routines that use the Cholesky */
/* decomposition of a Hermitian positive definite matrix. */
if (lsamen_(&c__2, c2, "PO")) {
/* ZPOTRF */
s_copy(srnamc_1.srnamt, "ZPOTRF", (ftnlen)6, (ftnlen)6);
infoc_1.infot = 1;
zpotrf_("/", &c__0, a, &c__1, &info);
chkxer_("ZPOTRF", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
zpotrf_("U", &c_n1, a, &c__1, &info);
chkxer_("ZPOTRF", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 4;
zpotrf_("U", &c__2, a, &c__1, &info);
chkxer_("ZPOTRF", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
/* ZPOTF2 */
s_copy(srnamc_1.srnamt, "ZPOTF2", (ftnlen)6, (ftnlen)6);
infoc_1.infot = 1;
zpotf2_("/", &c__0, a, &c__1, &info);
chkxer_("ZPOTF2", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
zpotf2_("U", &c_n1, a, &c__1, &info);
chkxer_("ZPOTF2", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 4;
zpotf2_("U", &c__2, a, &c__1, &info);
chkxer_("ZPOTF2", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
/* ZPOTRI */
s_copy(srnamc_1.srnamt, "ZPOTRI", (ftnlen)6, (ftnlen)6);
infoc_1.infot = 1;
zpotri_("/", &c__0, a, &c__1, &info);
chkxer_("ZPOTRI", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
zpotri_("U", &c_n1, a, &c__1, &info);
chkxer_("ZPOTRI", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 4;
zpotri_("U", &c__2, a, &c__1, &info);
chkxer_("ZPOTRI", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
/* ZPOTRS */
s_copy(srnamc_1.srnamt, "ZPOTRS", (ftnlen)6, (ftnlen)6);
infoc_1.infot = 1;
zpotrs_("/", &c__0, &c__0, a, &c__1, b, &c__1, &info);
chkxer_("ZPOTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
zpotrs_("U", &c_n1, &c__0, a, &c__1, b, &c__1, &info);
chkxer_("ZPOTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 3;
zpotrs_("U", &c__0, &c_n1, a, &c__1, b, &c__1, &info);
chkxer_("ZPOTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 5;
zpotrs_("U", &c__2, &c__1, a, &c__1, b, &c__2, &info);
chkxer_("ZPOTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 7;
zpotrs_("U", &c__2, &c__1, a, &c__2, b, &c__1, &info);
chkxer_("ZPOTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
/* ZPORFS */
s_copy(srnamc_1.srnamt, "ZPORFS", (ftnlen)6, (ftnlen)6);
infoc_1.infot = 1;
zporfs_("/", &c__0, &c__0, a, &c__1, af, &c__1, b, &c__1, x, &c__1,
r1, r2, w, r__, &info);
chkxer_("ZPORFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
zporfs_("U", &c_n1, &c__0, a, &c__1, af, &c__1, b, &c__1, x, &c__1,
r1, r2, w, r__, &info);
chkxer_("ZPORFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 3;
zporfs_("U", &c__0, &c_n1, a, &c__1, af, &c__1, b, &c__1, x, &c__1,
r1, r2, w, r__, &info);
chkxer_("ZPORFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 5;
zporfs_("U", &c__2, &c__1, a, &c__1, af, &c__2, b, &c__2, x, &c__2,
r1, r2, w, r__, &info);
chkxer_("ZPORFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 7;
zporfs_("U", &c__2, &c__1, a, &c__2, af, &c__1, b, &c__2, x, &c__2,
r1, r2, w, r__, &info);
chkxer_("ZPORFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 9;
zporfs_("U", &c__2, &c__1, a, &c__2, af, &c__2, b, &c__1, x, &c__2,
r1, r2, w, r__, &info);
chkxer_("ZPORFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 11;
zporfs_("U", &c__2, &c__1, a, &c__2, af, &c__2, b, &c__2, x, &c__1,
r1, r2, w, r__, &info);
chkxer_("ZPORFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
/* ZPOCON */
s_copy(srnamc_1.srnamt, "ZPOCON", (ftnlen)6, (ftnlen)6);
infoc_1.infot = 1;
zpocon_("/", &c__0, a, &c__1, &anrm, &rcond, w, r__, &info)
;
chkxer_("ZPOCON", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
zpocon_("U", &c_n1, a, &c__1, &anrm, &rcond, w, r__, &info)
;
chkxer_("ZPOCON", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 4;
zpocon_("U", &c__2, a, &c__1, &anrm, &rcond, w, r__, &info)
;
chkxer_("ZPOCON", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 5;
d__1 = -anrm;
zpocon_("U", &c__1, a, &c__1, &d__1, &rcond, w, r__, &info)
;
chkxer_("ZPOCON", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
/* ZPOEQU */
s_copy(srnamc_1.srnamt, "ZPOEQU", (ftnlen)6, (ftnlen)6);
infoc_1.infot = 1;
zpoequ_(&c_n1, a, &c__1, r1, &rcond, &anrm, &info);
chkxer_("ZPOEQU", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 3;
zpoequ_(&c__2, a, &c__1, r1, &rcond, &anrm, &info);
chkxer_("ZPOEQU", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
/* Test error exits of the routines that use the Cholesky */
/* decomposition of a Hermitian positive definite packed matrix. */
} else if (lsamen_(&c__2, c2, "PP")) {
/* ZPPTRF */
s_copy(srnamc_1.srnamt, "ZPPTRF", (ftnlen)6, (ftnlen)6);
infoc_1.infot = 1;
zpptrf_("/", &c__0, a, &info);
chkxer_("ZPPTRF", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
zpptrf_("U", &c_n1, a, &info);
chkxer_("ZPPTRF", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
/* ZPPTRI */
s_copy(srnamc_1.srnamt, "ZPPTRI", (ftnlen)6, (ftnlen)6);
infoc_1.infot = 1;
zpptri_("/", &c__0, a, &info);
chkxer_("ZPPTRI", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
zpptri_("U", &c_n1, a, &info);
chkxer_("ZPPTRI", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
/* ZPPTRS */
s_copy(srnamc_1.srnamt, "ZPPTRS", (ftnlen)6, (ftnlen)6);
infoc_1.infot = 1;
zpptrs_("/", &c__0, &c__0, a, b, &c__1, &info);
chkxer_("ZPPTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
zpptrs_("U", &c_n1, &c__0, a, b, &c__1, &info);
chkxer_("ZPPTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 3;
zpptrs_("U", &c__0, &c_n1, a, b, &c__1, &info);
chkxer_("ZPPTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 6;
zpptrs_("U", &c__2, &c__1, a, b, &c__1, &info);
chkxer_("ZPPTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
/* ZPPRFS */
s_copy(srnamc_1.srnamt, "ZPPRFS", (ftnlen)6, (ftnlen)6);
infoc_1.infot = 1;
zpprfs_("/", &c__0, &c__0, a, af, b, &c__1, x, &c__1, r1, r2, w, r__,
&info);
chkxer_("ZPPRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
zpprfs_("U", &c_n1, &c__0, a, af, b, &c__1, x, &c__1, r1, r2, w, r__,
&info);
chkxer_("ZPPRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 3;
zpprfs_("U", &c__0, &c_n1, a, af, b, &c__1, x, &c__1, r1, r2, w, r__,
&info);
chkxer_("ZPPRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 7;
zpprfs_("U", &c__2, &c__1, a, af, b, &c__1, x, &c__2, r1, r2, w, r__,
&info);
chkxer_("ZPPRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 9;
zpprfs_("U", &c__2, &c__1, a, af, b, &c__2, x, &c__1, r1, r2, w, r__,
&info);
chkxer_("ZPPRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
/* ZPPCON */
s_copy(srnamc_1.srnamt, "ZPPCON", (ftnlen)6, (ftnlen)6);
infoc_1.infot = 1;
zppcon_("/", &c__0, a, &anrm, &rcond, w, r__, &info);
chkxer_("ZPPCON", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
zppcon_("U", &c_n1, a, &anrm, &rcond, w, r__, &info);
chkxer_("ZPPCON", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 4;
d__1 = -anrm;
zppcon_("U", &c__1, a, &d__1, &rcond, w, r__, &info);
chkxer_("ZPPCON", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
/* ZPPEQU */
s_copy(srnamc_1.srnamt, "ZPPEQU", (ftnlen)6, (ftnlen)6);
infoc_1.infot = 1;
zppequ_("/", &c__0, a, r1, &rcond, &anrm, &info);
chkxer_("ZPPEQU", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
zppequ_("U", &c_n1, a, r1, &rcond, &anrm, &info);
chkxer_("ZPPEQU", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
/* Test error exits of the routines that use the Cholesky */
/* decomposition of a Hermitian positive definite band matrix. */
} else if (lsamen_(&c__2, c2, "PB")) {
/* ZPBTRF */
s_copy(srnamc_1.srnamt, "ZPBTRF", (ftnlen)6, (ftnlen)6);
infoc_1.infot = 1;
zpbtrf_("/", &c__0, &c__0, a, &c__1, &info);
chkxer_("ZPBTRF", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
zpbtrf_("U", &c_n1, &c__0, a, &c__1, &info);
chkxer_("ZPBTRF", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 3;
zpbtrf_("U", &c__1, &c_n1, a, &c__1, &info);
chkxer_("ZPBTRF", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 5;
zpbtrf_("U", &c__2, &c__1, a, &c__1, &info);
chkxer_("ZPBTRF", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
/* ZPBTF2 */
s_copy(srnamc_1.srnamt, "ZPBTF2", (ftnlen)6, (ftnlen)6);
infoc_1.infot = 1;
zpbtf2_("/", &c__0, &c__0, a, &c__1, &info);
chkxer_("ZPBTF2", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
zpbtf2_("U", &c_n1, &c__0, a, &c__1, &info);
chkxer_("ZPBTF2", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 3;
zpbtf2_("U", &c__1, &c_n1, a, &c__1, &info);
chkxer_("ZPBTF2", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 5;
zpbtf2_("U", &c__2, &c__1, a, &c__1, &info);
chkxer_("ZPBTF2", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
/* ZPBTRS */
s_copy(srnamc_1.srnamt, "ZPBTRS", (ftnlen)6, (ftnlen)6);
infoc_1.infot = 1;
zpbtrs_("/", &c__0, &c__0, &c__0, a, &c__1, b, &c__1, &info);
chkxer_("ZPBTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
zpbtrs_("U", &c_n1, &c__0, &c__0, a, &c__1, b, &c__1, &info);
chkxer_("ZPBTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 3;
zpbtrs_("U", &c__1, &c_n1, &c__0, a, &c__1, b, &c__1, &info);
chkxer_("ZPBTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 4;
zpbtrs_("U", &c__0, &c__0, &c_n1, a, &c__1, b, &c__1, &info);
chkxer_("ZPBTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 6;
zpbtrs_("U", &c__2, &c__1, &c__1, a, &c__1, b, &c__1, &info);
chkxer_("ZPBTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 8;
zpbtrs_("U", &c__2, &c__0, &c__1, a, &c__1, b, &c__1, &info);
chkxer_("ZPBTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
/* ZPBRFS */
s_copy(srnamc_1.srnamt, "ZPBRFS", (ftnlen)6, (ftnlen)6);
infoc_1.infot = 1;
zpbrfs_("/", &c__0, &c__0, &c__0, a, &c__1, af, &c__1, b, &c__1, x, &
c__1, r1, r2, w, r__, &info);
chkxer_("ZPBRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
zpbrfs_("U", &c_n1, &c__0, &c__0, a, &c__1, af, &c__1, b, &c__1, x, &
c__1, r1, r2, w, r__, &info);
chkxer_("ZPBRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 3;
zpbrfs_("U", &c__1, &c_n1, &c__0, a, &c__1, af, &c__1, b, &c__1, x, &
c__1, r1, r2, w, r__, &info);
chkxer_("ZPBRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 4;
zpbrfs_("U", &c__0, &c__0, &c_n1, a, &c__1, af, &c__1, b, &c__1, x, &
c__1, r1, r2, w, r__, &info);
chkxer_("ZPBRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 6;
zpbrfs_("U", &c__2, &c__1, &c__1, a, &c__1, af, &c__2, b, &c__2, x, &
c__2, r1, r2, w, r__, &info);
chkxer_("ZPBRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 8;
zpbrfs_("U", &c__2, &c__1, &c__1, a, &c__2, af, &c__1, b, &c__2, x, &
c__2, r1, r2, w, r__, &info);
chkxer_("ZPBRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 10;
zpbrfs_("U", &c__2, &c__0, &c__1, a, &c__1, af, &c__1, b, &c__1, x, &
c__2, r1, r2, w, r__, &info);
chkxer_("ZPBRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 12;
zpbrfs_("U", &c__2, &c__0, &c__1, a, &c__1, af, &c__1, b, &c__2, x, &
c__1, r1, r2, w, r__, &info);
chkxer_("ZPBRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
/* ZPBCON */
s_copy(srnamc_1.srnamt, "ZPBCON", (ftnlen)6, (ftnlen)6);
infoc_1.infot = 1;
zpbcon_("/", &c__0, &c__0, a, &c__1, &anrm, &rcond, w, r__, &info);
chkxer_("ZPBCON", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
zpbcon_("U", &c_n1, &c__0, a, &c__1, &anrm, &rcond, w, r__, &info);
chkxer_("ZPBCON", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 3;
zpbcon_("U", &c__1, &c_n1, a, &c__1, &anrm, &rcond, w, r__, &info);
chkxer_("ZPBCON", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 5;
zpbcon_("U", &c__2, &c__1, a, &c__1, &anrm, &rcond, w, r__, &info);
chkxer_("ZPBCON", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 6;
d__1 = -anrm;
zpbcon_("U", &c__1, &c__0, a, &c__1, &d__1, &rcond, w, r__, &info);
chkxer_("ZPBCON", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
/* ZPBEQU */
s_copy(srnamc_1.srnamt, "ZPBEQU", (ftnlen)6, (ftnlen)6);
infoc_1.infot = 1;
zpbequ_("/", &c__0, &c__0, a, &c__1, r1, &rcond, &anrm, &info);
chkxer_("ZPBEQU", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
zpbequ_("U", &c_n1, &c__0, a, &c__1, r1, &rcond, &anrm, &info);
chkxer_("ZPBEQU", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 3;
zpbequ_("U", &c__1, &c_n1, a, &c__1, r1, &rcond, &anrm, &info);
chkxer_("ZPBEQU", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 5;
zpbequ_("U", &c__2, &c__1, a, &c__1, r1, &rcond, &anrm, &info);
chkxer_("ZPBEQU", &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 ZERRPO */
} /* zerrpo_ */
/* Subroutine */ int zppsv_(char *uplo, integer *n, integer *nrhs,
doublecomplex *ap, doublecomplex *b, integer *ldb, integer *info)
{
/* -- LAPACK driver routine (version 2.0) --
Univ. of Tennessee, Univ. of California Berkeley, NAG Ltd.,
Courant Institute, Argonne National Lab, and Rice University
March 31, 1993
Purpose
=======
ZPPSV computes the solution to a complex system of linear equations
A * X = B,
where A is an N-by-N Hermitian positive definite matrix stored in
packed format and X and B are N-by-NRHS matrices.
The Cholesky decomposition is used to factor A as
A = U**H* U, if UPLO = 'U', or
A = L * L**H, if UPLO = 'L',
where U is an upper triangular matrix and L is a lower triangular
matrix. The factored form of A is then used to solve the system of
equations A * X = B.
Arguments
=========
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 matrix B. NRHS >= 0.
AP (input/output) COMPLEX*16 array, dimension (N*(N+1)/2)
On entry, the upper or lower triangle of the Hermitian matrix
A, packed columnwise in a linear array. The j-th column of A
is stored in the array AP as follows:
if UPLO = 'U', AP(i + (j-1)*j/2) = A(i,j) for 1<=i<=j;
if UPLO = 'L', AP(i + (j-1)*(2n-j)/2) = A(i,j) for j<=i<=n.
See below for further details.
On exit, if INFO = 0, the factor U or L from the Cholesky
factorization A = U**H*U or A = L*L**H, in the same storage
format as A.
B (input/output) COMPLEX*16 array, dimension (LDB,NRHS)
On entry, the N-by-NRHS right hand side matrix B.
On exit, if INFO = 0, the N-by-NRHS solution matrix X.
LDB (input) INTEGER
The leading dimension of the array B. LDB >= max(1,N).
INFO (output) INTEGER
= 0: successful exit
< 0: if INFO = -i, the i-th argument had an illegal value
> 0: if INFO = i, 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.
Further Details
===============
The packed storage scheme is illustrated by the following example
when N = 4, UPLO = 'U':
Two-dimensional storage of the Hermitian matrix A:
a11 a12 a13 a14
a22 a23 a24
a33 a34 (aij = conjg(aji))
a44
Packed storage of the upper triangle of A:
AP = [ a11, a12, a22, a13, a23, a33, a14, a24, a34, a44 ]
=====================================================================
Test the input parameters.
Parameter adjustments
Function Body */
/* System generated locals */
integer b_dim1, b_offset, i__1;
/* Local variables */
extern logical lsame_(char *, char *);
extern /* Subroutine */ int xerbla_(char *, integer *), zpptrf_(
char *, integer *, doublecomplex *, integer *), zpptrs_(
char *, integer *, integer *, doublecomplex *, doublecomplex *,
integer *, integer *);
#define AP(I) ap[(I)-1]
#define B(I,J) b[(I)-1 + ((J)-1)* ( *ldb)]
*info = 0;
if (! lsame_(uplo, "U") && ! lsame_(uplo, "L")) {
*info = -1;
} else if (*n < 0) {
*info = -2;
} else if (*nrhs < 0) {
*info = -3;
} else if (*ldb < max(1,*n)) {
*info = -6;
}
if (*info != 0) {
i__1 = -(*info);
xerbla_("ZPPSV ", &i__1);
return 0;
}
/* Compute the Cholesky factorization A = U'*U or A = L*L'. */
zpptrf_(uplo, n, &AP(1), info);
if (*info == 0) {
/* Solve the system A*X = B, overwriting B with X. */
zpptrs_(uplo, n, nrhs, &AP(1), &B(1,1), ldb, info);
}
return 0;
/* End of ZPPSV */
} /* zppsv_ */
int zppsv_(char *uplo, int *n, int *nrhs,
doublecomplex *ap, doublecomplex *b, int *ldb, int *info)
{
/* System generated locals */
int b_dim1, b_offset, i__1;
/* Local variables */
extern int lsame_(char *, char *);
extern int xerbla_(char *, int *), zpptrf_(
char *, int *, doublecomplex *, int *), zpptrs_(
char *, int *, int *, doublecomplex *, doublecomplex *,
int *, int *);
/* -- LAPACK driver routine (version 3.2) -- */
/* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */
/* November 2006 */
/* .. Scalar Arguments .. */
/* .. */
/* .. Array Arguments .. */
/* .. */
/* Purpose */
/* ======= */
/* ZPPSV computes the solution to a complex system of linear equations */
/* A * X = B, */
/* where A is an N-by-N Hermitian positive definite matrix stored in */
/* packed format and X and B are N-by-NRHS matrices. */
/* The Cholesky decomposition is used to factor A as */
/* A = U**H* U, if UPLO = 'U', or */
/* A = L * L**H, if UPLO = 'L', */
/* where U is an upper triangular matrix and L is a lower triangular */
/* matrix. The factored form of A is then used to solve the system of */
/* equations A * X = B. */
/* Arguments */
/* ========= */
/* 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 matrix B. NRHS >= 0. */
/* AP (input/output) COMPLEX*16 array, dimension (N*(N+1)/2) */
/* On entry, the upper or lower triangle of the Hermitian matrix */
/* A, packed columnwise in a linear array. The j-th column of A */
/* is stored in the array AP as follows: */
/* if UPLO = 'U', AP(i + (j-1)*j/2) = A(i,j) for 1<=i<=j; */
/* if UPLO = 'L', AP(i + (j-1)*(2n-j)/2) = A(i,j) for j<=i<=n. */
/* See below for further details. */
/* On exit, if INFO = 0, the factor U or L from the Cholesky */
/* factorization A = U**H*U or A = L*L**H, in the same storage */
/* format as A. */
/* B (input/output) COMPLEX*16 array, dimension (LDB,NRHS) */
/* On entry, the N-by-NRHS right hand side matrix B. */
/* On exit, if INFO = 0, the N-by-NRHS solution matrix X. */
/* LDB (input) INTEGER */
/* The leading dimension of the array B. LDB >= MAX(1,N). */
/* INFO (output) INTEGER */
/* = 0: successful exit */
/* < 0: if INFO = -i, the i-th argument had an illegal value */
/* > 0: if INFO = i, 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. */
/* Further Details */
/* =============== */
/* The packed storage scheme is illustrated by the following example */
/* when N = 4, UPLO = 'U': */
/* Two-dimensional storage of the Hermitian matrix A: */
/* a11 a12 a13 a14 */
/* a22 a23 a24 */
/* a33 a34 (aij = conjg(aji)) */
/* a44 */
/* Packed storage of the upper triangle of A: */
/* AP = [ a11, a12, a22, a13, a23, a33, a14, a24, a34, a44 ] */
/* ===================================================================== */
/* .. External Functions .. */
/* .. */
/* .. External Subroutines .. */
/* .. */
/* .. Intrinsic Functions .. */
/* .. */
/* .. Executable Statements .. */
/* Test the input parameters. */
/* Parameter adjustments */
--ap;
b_dim1 = *ldb;
b_offset = 1 + b_dim1;
b -= b_offset;
/* Function Body */
*info = 0;
if (! lsame_(uplo, "U") && ! lsame_(uplo, "L")) {
*info = -1;
} else if (*n < 0) {
*info = -2;
} else if (*nrhs < 0) {
*info = -3;
} else if (*ldb < MAX(1,*n)) {
*info = -6;
}
if (*info != 0) {
i__1 = -(*info);
xerbla_("ZPPSV ", &i__1);
return 0;
}
/* Compute the Cholesky factorization A = U'*U or A = L*L'. */
zpptrf_(uplo, n, &ap[1], info);
if (*info == 0) {
/* Solve the system A*X = B, overwriting B with X. */
zpptrs_(uplo, n, nrhs, &ap[1], &b[b_offset], ldb, info);
}
return 0;
/* End of ZPPSV */
} /* zppsv_ */
/* Subroutine */ int zerrpo_(char *path, integer *nunit)
{
/* System generated locals */
integer i__1;
doublereal d__1, d__2;
doublecomplex z__1;
/* Builtin functions */
integer s_wsle(cilist *), e_wsle(void);
/* Subroutine */ int s_copy(char *, char *, ftnlen, ftnlen);
/* Local variables */
static integer info;
static doublereal anrm;
static doublecomplex a[16] /* was [4][4] */, b[4];
static integer i__, j;
static doublereal r__[4];
static doublecomplex w[8], x[4];
static doublereal rcond;
static char c2[2];
static doublereal r1[4], r2[4];
static doublecomplex af[16] /* was [4][4] */;
extern /* Subroutine */ int zpbtf2_(char *, integer *, integer *,
doublecomplex *, integer *, integer *), zpotf2_(char *,
integer *, doublecomplex *, integer *, integer *),
alaesm_(char *, logical *, integer *);
extern logical lsamen_(integer *, char *, char *);
extern /* Subroutine */ int chkxer_(char *, integer *, integer *, logical
*, logical *), zpbcon_(char *, integer *, integer *,
doublecomplex *, integer *, doublereal *, doublereal *,
doublecomplex *, doublereal *, integer *), zpbequ_(char *,
integer *, integer *, doublecomplex *, integer *, doublereal *,
doublereal *, doublereal *, integer *), zpbrfs_(char *,
integer *, integer *, integer *, doublecomplex *, integer *,
doublecomplex *, integer *, doublecomplex *, integer *,
doublecomplex *, integer *, doublereal *, doublereal *,
doublecomplex *, doublereal *, integer *), zpbtrf_(char *,
integer *, integer *, doublecomplex *, integer *, integer *), zpocon_(char *, integer *, doublecomplex *, integer *,
doublereal *, doublereal *, doublecomplex *, doublereal *,
integer *), zppcon_(char *, integer *, doublecomplex *,
doublereal *, doublereal *, doublecomplex *, doublereal *,
integer *), zpoequ_(integer *, doublecomplex *, integer *,
doublereal *, doublereal *, doublereal *, integer *), zpbtrs_(
char *, integer *, integer *, integer *, doublecomplex *, integer
*, doublecomplex *, integer *, integer *), zporfs_(char *,
integer *, integer *, doublecomplex *, integer *, doublecomplex *
, integer *, doublecomplex *, integer *, doublecomplex *, integer
*, doublereal *, doublereal *, doublecomplex *, doublereal *,
integer *), zpotrf_(char *, integer *, doublecomplex *,
integer *, integer *), zpotri_(char *, integer *,
doublecomplex *, integer *, integer *), zppequ_(char *,
integer *, doublecomplex *, doublereal *, doublereal *,
doublereal *, integer *), zpprfs_(char *, integer *,
integer *, doublecomplex *, doublecomplex *, doublecomplex *,
integer *, doublecomplex *, integer *, doublereal *, doublereal *,
doublecomplex *, doublereal *, integer *), zpptrf_(char *
, integer *, doublecomplex *, integer *), zpptri_(char *,
integer *, doublecomplex *, integer *), zpotrs_(char *,
integer *, integer *, doublecomplex *, integer *, doublecomplex *,
integer *, integer *), zpptrs_(char *, integer *,
integer *, doublecomplex *, doublecomplex *, integer *, integer *);
/* Fortran I/O blocks */
static cilist io___1 = { 0, 0, 0, 0, 0 };
#define a_subscr(a_1,a_2) (a_2)*4 + a_1 - 5
#define a_ref(a_1,a_2) a[a_subscr(a_1,a_2)]
#define af_subscr(a_1,a_2) (a_2)*4 + a_1 - 5
#define af_ref(a_1,a_2) af[af_subscr(a_1,a_2)]
/* -- LAPACK test routine (version 3.0) --
Univ. of Tennessee, Univ. of California Berkeley, NAG Ltd.,
Courant Institute, Argonne National Lab, and Rice University
February 29, 1992
Purpose
=======
ZERRPO tests the error exits for the COMPLEX*16 routines
for Hermitian 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.
===================================================================== */
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__) {
i__1 = a_subscr(i__, j);
d__1 = 1. / (doublereal) (i__ + j);
d__2 = -1. / (doublereal) (i__ + j);
z__1.r = d__1, z__1.i = d__2;
a[i__1].r = z__1.r, a[i__1].i = z__1.i;
i__1 = af_subscr(i__, j);
d__1 = 1. / (doublereal) (i__ + j);
d__2 = -1. / (doublereal) (i__ + j);
z__1.r = d__1, z__1.i = d__2;
af[i__1].r = z__1.r, af[i__1].i = z__1.i;
/* L10: */
}
i__1 = j - 1;
b[i__1].r = 0., b[i__1].i = 0.;
r1[j - 1] = 0.;
r2[j - 1] = 0.;
i__1 = j - 1;
w[i__1].r = 0., w[i__1].i = 0.;
i__1 = j - 1;
x[i__1].r = 0., x[i__1].i = 0.;
/* L20: */
}
anrm = 1.;
infoc_1.ok = TRUE_;
/* Test error exits of the routines that use the Cholesky
decomposition of a Hermitian positive definite matrix. */
if (lsamen_(&c__2, c2, "PO")) {
/* ZPOTRF */
s_copy(srnamc_1.srnamt, "ZPOTRF", (ftnlen)6, (ftnlen)6);
infoc_1.infot = 1;
zpotrf_("/", &c__0, a, &c__1, &info);
chkxer_("ZPOTRF", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
zpotrf_("U", &c_n1, a, &c__1, &info);
chkxer_("ZPOTRF", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 4;
zpotrf_("U", &c__2, a, &c__1, &info);
chkxer_("ZPOTRF", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
/* ZPOTF2 */
s_copy(srnamc_1.srnamt, "ZPOTF2", (ftnlen)6, (ftnlen)6);
infoc_1.infot = 1;
zpotf2_("/", &c__0, a, &c__1, &info);
chkxer_("ZPOTF2", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
zpotf2_("U", &c_n1, a, &c__1, &info);
chkxer_("ZPOTF2", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 4;
zpotf2_("U", &c__2, a, &c__1, &info);
chkxer_("ZPOTF2", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
/* ZPOTRI */
s_copy(srnamc_1.srnamt, "ZPOTRI", (ftnlen)6, (ftnlen)6);
infoc_1.infot = 1;
zpotri_("/", &c__0, a, &c__1, &info);
chkxer_("ZPOTRI", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
zpotri_("U", &c_n1, a, &c__1, &info);
chkxer_("ZPOTRI", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 4;
zpotri_("U", &c__2, a, &c__1, &info);
chkxer_("ZPOTRI", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
/* ZPOTRS */
s_copy(srnamc_1.srnamt, "ZPOTRS", (ftnlen)6, (ftnlen)6);
infoc_1.infot = 1;
zpotrs_("/", &c__0, &c__0, a, &c__1, b, &c__1, &info);
chkxer_("ZPOTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
zpotrs_("U", &c_n1, &c__0, a, &c__1, b, &c__1, &info);
chkxer_("ZPOTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 3;
zpotrs_("U", &c__0, &c_n1, a, &c__1, b, &c__1, &info);
chkxer_("ZPOTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 5;
zpotrs_("U", &c__2, &c__1, a, &c__1, b, &c__2, &info);
chkxer_("ZPOTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 7;
zpotrs_("U", &c__2, &c__1, a, &c__2, b, &c__1, &info);
chkxer_("ZPOTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
/* ZPORFS */
s_copy(srnamc_1.srnamt, "ZPORFS", (ftnlen)6, (ftnlen)6);
infoc_1.infot = 1;
zporfs_("/", &c__0, &c__0, a, &c__1, af, &c__1, b, &c__1, x, &c__1,
r1, r2, w, r__, &info);
chkxer_("ZPORFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
zporfs_("U", &c_n1, &c__0, a, &c__1, af, &c__1, b, &c__1, x, &c__1,
r1, r2, w, r__, &info);
chkxer_("ZPORFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 3;
zporfs_("U", &c__0, &c_n1, a, &c__1, af, &c__1, b, &c__1, x, &c__1,
r1, r2, w, r__, &info);
chkxer_("ZPORFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 5;
zporfs_("U", &c__2, &c__1, a, &c__1, af, &c__2, b, &c__2, x, &c__2,
r1, r2, w, r__, &info);
chkxer_("ZPORFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 7;
zporfs_("U", &c__2, &c__1, a, &c__2, af, &c__1, b, &c__2, x, &c__2,
r1, r2, w, r__, &info);
chkxer_("ZPORFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 9;
zporfs_("U", &c__2, &c__1, a, &c__2, af, &c__2, b, &c__1, x, &c__2,
r1, r2, w, r__, &info);
chkxer_("ZPORFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 11;
zporfs_("U", &c__2, &c__1, a, &c__2, af, &c__2, b, &c__2, x, &c__1,
r1, r2, w, r__, &info);
chkxer_("ZPORFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
/* ZPOCON */
s_copy(srnamc_1.srnamt, "ZPOCON", (ftnlen)6, (ftnlen)6);
infoc_1.infot = 1;
zpocon_("/", &c__0, a, &c__1, &anrm, &rcond, w, r__, &info)
;
chkxer_("ZPOCON", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
zpocon_("U", &c_n1, a, &c__1, &anrm, &rcond, w, r__, &info)
;
chkxer_("ZPOCON", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 4;
zpocon_("U", &c__2, a, &c__1, &anrm, &rcond, w, r__, &info)
;
chkxer_("ZPOCON", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 5;
d__1 = -anrm;
zpocon_("U", &c__1, a, &c__1, &d__1, &rcond, w, r__, &info)
;
chkxer_("ZPOCON", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
/* ZPOEQU */
s_copy(srnamc_1.srnamt, "ZPOEQU", (ftnlen)6, (ftnlen)6);
infoc_1.infot = 1;
zpoequ_(&c_n1, a, &c__1, r1, &rcond, &anrm, &info);
chkxer_("ZPOEQU", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 3;
zpoequ_(&c__2, a, &c__1, r1, &rcond, &anrm, &info);
chkxer_("ZPOEQU", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
/* Test error exits of the routines that use the Cholesky
decomposition of a Hermitian positive definite packed matrix. */
} else if (lsamen_(&c__2, c2, "PP")) {
/* ZPPTRF */
s_copy(srnamc_1.srnamt, "ZPPTRF", (ftnlen)6, (ftnlen)6);
infoc_1.infot = 1;
zpptrf_("/", &c__0, a, &info);
chkxer_("ZPPTRF", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
zpptrf_("U", &c_n1, a, &info);
chkxer_("ZPPTRF", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
/* ZPPTRI */
s_copy(srnamc_1.srnamt, "ZPPTRI", (ftnlen)6, (ftnlen)6);
infoc_1.infot = 1;
zpptri_("/", &c__0, a, &info);
chkxer_("ZPPTRI", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
zpptri_("U", &c_n1, a, &info);
chkxer_("ZPPTRI", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
/* ZPPTRS */
s_copy(srnamc_1.srnamt, "ZPPTRS", (ftnlen)6, (ftnlen)6);
infoc_1.infot = 1;
zpptrs_("/", &c__0, &c__0, a, b, &c__1, &info);
chkxer_("ZPPTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
zpptrs_("U", &c_n1, &c__0, a, b, &c__1, &info);
chkxer_("ZPPTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 3;
zpptrs_("U", &c__0, &c_n1, a, b, &c__1, &info);
chkxer_("ZPPTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 6;
zpptrs_("U", &c__2, &c__1, a, b, &c__1, &info);
chkxer_("ZPPTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
/* ZPPRFS */
s_copy(srnamc_1.srnamt, "ZPPRFS", (ftnlen)6, (ftnlen)6);
infoc_1.infot = 1;
zpprfs_("/", &c__0, &c__0, a, af, b, &c__1, x, &c__1, r1, r2, w, r__,
&info);
chkxer_("ZPPRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
zpprfs_("U", &c_n1, &c__0, a, af, b, &c__1, x, &c__1, r1, r2, w, r__,
&info);
chkxer_("ZPPRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 3;
zpprfs_("U", &c__0, &c_n1, a, af, b, &c__1, x, &c__1, r1, r2, w, r__,
&info);
chkxer_("ZPPRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 7;
zpprfs_("U", &c__2, &c__1, a, af, b, &c__1, x, &c__2, r1, r2, w, r__,
&info);
chkxer_("ZPPRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 9;
zpprfs_("U", &c__2, &c__1, a, af, b, &c__2, x, &c__1, r1, r2, w, r__,
&info);
chkxer_("ZPPRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
/* ZPPCON */
s_copy(srnamc_1.srnamt, "ZPPCON", (ftnlen)6, (ftnlen)6);
infoc_1.infot = 1;
zppcon_("/", &c__0, a, &anrm, &rcond, w, r__, &info);
chkxer_("ZPPCON", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
zppcon_("U", &c_n1, a, &anrm, &rcond, w, r__, &info);
chkxer_("ZPPCON", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 4;
d__1 = -anrm;
zppcon_("U", &c__1, a, &d__1, &rcond, w, r__, &info);
chkxer_("ZPPCON", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
/* ZPPEQU */
s_copy(srnamc_1.srnamt, "ZPPEQU", (ftnlen)6, (ftnlen)6);
infoc_1.infot = 1;
zppequ_("/", &c__0, a, r1, &rcond, &anrm, &info);
chkxer_("ZPPEQU", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
zppequ_("U", &c_n1, a, r1, &rcond, &anrm, &info);
chkxer_("ZPPEQU", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
/* Test error exits of the routines that use the Cholesky
decomposition of a Hermitian positive definite band matrix. */
} else if (lsamen_(&c__2, c2, "PB")) {
/* ZPBTRF */
s_copy(srnamc_1.srnamt, "ZPBTRF", (ftnlen)6, (ftnlen)6);
infoc_1.infot = 1;
zpbtrf_("/", &c__0, &c__0, a, &c__1, &info);
chkxer_("ZPBTRF", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
zpbtrf_("U", &c_n1, &c__0, a, &c__1, &info);
chkxer_("ZPBTRF", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 3;
zpbtrf_("U", &c__1, &c_n1, a, &c__1, &info);
chkxer_("ZPBTRF", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 5;
zpbtrf_("U", &c__2, &c__1, a, &c__1, &info);
chkxer_("ZPBTRF", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
/* ZPBTF2 */
s_copy(srnamc_1.srnamt, "ZPBTF2", (ftnlen)6, (ftnlen)6);
infoc_1.infot = 1;
zpbtf2_("/", &c__0, &c__0, a, &c__1, &info);
chkxer_("ZPBTF2", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
zpbtf2_("U", &c_n1, &c__0, a, &c__1, &info);
chkxer_("ZPBTF2", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 3;
zpbtf2_("U", &c__1, &c_n1, a, &c__1, &info);
chkxer_("ZPBTF2", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 5;
zpbtf2_("U", &c__2, &c__1, a, &c__1, &info);
chkxer_("ZPBTF2", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
/* ZPBTRS */
s_copy(srnamc_1.srnamt, "ZPBTRS", (ftnlen)6, (ftnlen)6);
infoc_1.infot = 1;
zpbtrs_("/", &c__0, &c__0, &c__0, a, &c__1, b, &c__1, &info);
chkxer_("ZPBTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
zpbtrs_("U", &c_n1, &c__0, &c__0, a, &c__1, b, &c__1, &info);
chkxer_("ZPBTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 3;
zpbtrs_("U", &c__1, &c_n1, &c__0, a, &c__1, b, &c__1, &info);
chkxer_("ZPBTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 4;
zpbtrs_("U", &c__0, &c__0, &c_n1, a, &c__1, b, &c__1, &info);
chkxer_("ZPBTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 6;
zpbtrs_("U", &c__2, &c__1, &c__1, a, &c__1, b, &c__1, &info);
chkxer_("ZPBTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 8;
zpbtrs_("U", &c__2, &c__0, &c__1, a, &c__1, b, &c__1, &info);
chkxer_("ZPBTRS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
/* ZPBRFS */
s_copy(srnamc_1.srnamt, "ZPBRFS", (ftnlen)6, (ftnlen)6);
infoc_1.infot = 1;
zpbrfs_("/", &c__0, &c__0, &c__0, a, &c__1, af, &c__1, b, &c__1, x, &
c__1, r1, r2, w, r__, &info);
chkxer_("ZPBRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
zpbrfs_("U", &c_n1, &c__0, &c__0, a, &c__1, af, &c__1, b, &c__1, x, &
c__1, r1, r2, w, r__, &info);
chkxer_("ZPBRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 3;
zpbrfs_("U", &c__1, &c_n1, &c__0, a, &c__1, af, &c__1, b, &c__1, x, &
c__1, r1, r2, w, r__, &info);
chkxer_("ZPBRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 4;
zpbrfs_("U", &c__0, &c__0, &c_n1, a, &c__1, af, &c__1, b, &c__1, x, &
c__1, r1, r2, w, r__, &info);
chkxer_("ZPBRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 6;
zpbrfs_("U", &c__2, &c__1, &c__1, a, &c__1, af, &c__2, b, &c__2, x, &
c__2, r1, r2, w, r__, &info);
chkxer_("ZPBRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 8;
zpbrfs_("U", &c__2, &c__1, &c__1, a, &c__2, af, &c__1, b, &c__2, x, &
c__2, r1, r2, w, r__, &info);
chkxer_("ZPBRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 10;
zpbrfs_("U", &c__2, &c__0, &c__1, a, &c__1, af, &c__1, b, &c__1, x, &
c__2, r1, r2, w, r__, &info);
chkxer_("ZPBRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 12;
zpbrfs_("U", &c__2, &c__0, &c__1, a, &c__1, af, &c__1, b, &c__2, x, &
c__1, r1, r2, w, r__, &info);
chkxer_("ZPBRFS", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
/* ZPBCON */
s_copy(srnamc_1.srnamt, "ZPBCON", (ftnlen)6, (ftnlen)6);
infoc_1.infot = 1;
zpbcon_("/", &c__0, &c__0, a, &c__1, &anrm, &rcond, w, r__, &info);
chkxer_("ZPBCON", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
zpbcon_("U", &c_n1, &c__0, a, &c__1, &anrm, &rcond, w, r__, &info);
chkxer_("ZPBCON", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 3;
zpbcon_("U", &c__1, &c_n1, a, &c__1, &anrm, &rcond, w, r__, &info);
chkxer_("ZPBCON", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 5;
zpbcon_("U", &c__2, &c__1, a, &c__1, &anrm, &rcond, w, r__, &info);
chkxer_("ZPBCON", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 6;
d__1 = -anrm;
zpbcon_("U", &c__1, &c__0, a, &c__1, &d__1, &rcond, w, r__, &info);
chkxer_("ZPBCON", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
/* ZPBEQU */
s_copy(srnamc_1.srnamt, "ZPBEQU", (ftnlen)6, (ftnlen)6);
infoc_1.infot = 1;
zpbequ_("/", &c__0, &c__0, a, &c__1, r1, &rcond, &anrm, &info);
chkxer_("ZPBEQU", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 2;
zpbequ_("U", &c_n1, &c__0, a, &c__1, r1, &rcond, &anrm, &info);
chkxer_("ZPBEQU", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 3;
zpbequ_("U", &c__1, &c_n1, a, &c__1, r1, &rcond, &anrm, &info);
chkxer_("ZPBEQU", &infoc_1.infot, &infoc_1.nout, &infoc_1.lerr, &
infoc_1.ok);
infoc_1.infot = 5;
zpbequ_("U", &c__2, &c__1, a, &c__1, r1, &rcond, &anrm, &info);
chkxer_("ZPBEQU", &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 ZERRPO */
} /* zerrpo_ */
/* Subroutine */ int zchkpp_(logical *dotype, integer *nn, integer *nval,
integer *nns, integer *nsval, doublereal *thresh, logical *tsterr,
integer *nmax, doublecomplex *a, doublecomplex *afac, doublecomplex *
ainv, doublecomplex *b, doublecomplex *x, doublecomplex *xact,
doublecomplex *work, doublereal *rwork, integer *nout)
{
/* Initialized data */
static integer iseedy[4] = { 1988,1989,1990,1991 };
static char uplos[1*2] = "U" "L";
static char packs[1*2] = "C" "R";
/* Format strings */
static char fmt_9999[] = "(\002 UPLO = '\002,a1,\002', N =\002,i5,\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)";
/* System generated locals */
integer i__1, i__2, i__3, i__4;
/* Local variables */
integer i__, k, n, in, kl, ku, lda, npp, ioff, mode, imat, info;
char path[3], dist[1];
integer irhs, nrhs;
char uplo[1], type__[1];
integer nrun;
integer nfail, iseed[4];
doublereal rcond;
integer nimat;
doublereal anorm;
integer iuplo, izero, nerrs;
logical zerot;
char xtype[1];
doublereal rcondc;
char packit[1];
doublereal cndnum;
doublereal result[8];
/* Fortran I/O blocks */
static cilist io___34 = { 0, 0, 0, fmt_9999, 0 };
static cilist io___37 = { 0, 0, 0, fmt_9998, 0 };
static cilist io___39 = { 0, 0, 0, fmt_9999, 0 };
/* -- LAPACK test routine (version 3.1) -- */
/* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */
/* November 2006 */
/* .. Scalar Arguments .. */
/* .. */
/* .. Array Arguments .. */
/* .. */
/* Purpose */
/* ======= */
/* ZCHKPP tests ZPPTRF, -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. */
/* 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) COMPLEX*16 array, dimension */
/* (NMAX*(NMAX+1)/2) */
/* AFAC (workspace) COMPLEX*16 array, dimension */
/* (NMAX*(NMAX+1)/2) */
/* AINV (workspace) COMPLEX*16 array, dimension */
/* (NMAX*(NMAX+1)/2) */
/* 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)) */
/* 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 */
--rwork;
--work;
--xact;
--x;
--b;
--ainv;
--afac;
--a;
--nsval;
--nval;
--dotype;
/* Function Body */
/* .. */
/* .. Executable Statements .. */
/* Initialize constants and the random number seed. */
s_copy(path, "Zomplex precision", (ftnlen)1, (ftnlen)17);
s_copy(path + 1, "PP", (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) {
zerrpo_(path, nout);
}
infoc_1.infot = 0;
/* 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;
}
i__2 = nimat;
for (imat = 1; imat <= i__2; ++imat) {
/* Do the tests only if DOTYPE( IMAT ) is true. */
if (! dotype[imat]) {
goto L100;
}
/* Skip types 3, 4, or 5 if the matrix size is too small. */
zerot = imat >= 3 && imat <= 5;
if (zerot && n < imat - 2) {
goto L100;
}
/* Do first for UPLO = 'U', then for UPLO = 'L' */
for (iuplo = 1; iuplo <= 2; ++iuplo) {
*(unsigned char *)uplo = *(unsigned char *)&uplos[iuplo - 1];
*(unsigned char *)packit = *(unsigned char *)&packs[iuplo - 1]
;
/* Set up parameters with ZLATB4 and generate a test matrix */
/* with ZLATMS. */
zlatb4_(path, &imat, &n, &n, type__, &kl, &ku, &anorm, &mode,
&cndnum, dist);
s_copy(srnamc_1.srnamt, "ZLATMS", (ftnlen)32, (ftnlen)6);
zlatms_(&n, &n, dist, iseed, type__, &rwork[1], &mode, &
cndnum, &anorm, &kl, &ku, packit, &a[1], &lda, &work[
1], &info);
/* Check error code from ZLATMS. */
if (info != 0) {
alaerh_(path, "ZLATMS", &info, &c__0, uplo, &n, &n, &c_n1,
&c_n1, &c_n1, &imat, &nfail, &nerrs, nout);
goto L90;
}
/* 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;
}
/* Set row and column IZERO of A to 0. */
if (iuplo == 1) {
ioff = (izero - 1) * izero / 2;
i__3 = izero - 1;
for (i__ = 1; i__ <= i__3; ++i__) {
i__4 = ioff + i__;
a[i__4].r = 0., a[i__4].i = 0.;
/* L20: */
}
ioff += izero;
i__3 = n;
for (i__ = izero; i__ <= i__3; ++i__) {
i__4 = ioff;
a[i__4].r = 0., a[i__4].i = 0.;
ioff += i__;
/* L30: */
}
} else {
ioff = izero;
i__3 = izero - 1;
for (i__ = 1; i__ <= i__3; ++i__) {
i__4 = ioff;
a[i__4].r = 0., a[i__4].i = 0.;
ioff = ioff + n - i__;
/* L40: */
}
ioff -= izero;
i__3 = n;
for (i__ = izero; i__ <= i__3; ++i__) {
i__4 = ioff + i__;
a[i__4].r = 0., a[i__4].i = 0.;
/* L50: */
}
}
} else {
izero = 0;
}
/* Set the imaginary part of the diagonals. */
if (iuplo == 1) {
zlaipd_(&n, &a[1], &c__2, &c__1);
} else {
zlaipd_(&n, &a[1], &n, &c_n1);
}
/* Compute the L*L' or U'*U factorization of the matrix. */
npp = n * (n + 1) / 2;
zcopy_(&npp, &a[1], &c__1, &afac[1], &c__1);
s_copy(srnamc_1.srnamt, "ZPPTRF", (ftnlen)32, (ftnlen)6);
zpptrf_(uplo, &n, &afac[1], &info);
/* Check error code from ZPPTRF. */
if (info != izero) {
alaerh_(path, "ZPPTRF", &info, &izero, uplo, &n, &n, &
c_n1, &c_n1, &c_n1, &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. */
zcopy_(&npp, &afac[1], &c__1, &ainv[1], &c__1);
zppt01_(uplo, &n, &a[1], &ainv[1], &rwork[1], result);
/* + TEST 2 */
/* Form the inverse and compute the residual. */
zcopy_(&npp, &afac[1], &c__1, &ainv[1], &c__1);
s_copy(srnamc_1.srnamt, "ZPPTRI", (ftnlen)32, (ftnlen)6);
zpptri_(uplo, &n, &ainv[1], &info);
/* Check error code from ZPPTRI. */
if (info != 0) {
alaerh_(path, "ZPPTRI", &info, &c__0, uplo, &n, &n, &c_n1,
&c_n1, &c_n1, &imat, &nfail, &nerrs, nout);
}
zppt03_(uplo, &n, &a[1], &ainv[1], &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___34.ciunit = *nout;
s_wsfe(&io___34);
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 *)&k, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&result[k - 1], (ftnlen)sizeof(
doublereal));
e_wsfe();
++nfail;
}
/* L60: */
}
nrun += 2;
i__3 = *nns;
for (irhs = 1; irhs <= i__3; ++irhs) {
nrhs = nsval[irhs];
/* + TEST 3 */
/* Solve and compute residual for A * X = B. */
s_copy(srnamc_1.srnamt, "ZLARHS", (ftnlen)32, (ftnlen)6);
zlarhs_(path, xtype, uplo, " ", &n, &n, &kl, &ku, &nrhs, &
a[1], &lda, &xact[1], &lda, &b[1], &lda, iseed, &
info);
zlacpy_("Full", &n, &nrhs, &b[1], &lda, &x[1], &lda);
s_copy(srnamc_1.srnamt, "ZPPTRS", (ftnlen)32, (ftnlen)6);
zpptrs_(uplo, &n, &nrhs, &afac[1], &x[1], &lda, &info);
/* Check error code from ZPPTRS. */
if (info != 0) {
alaerh_(path, "ZPPTRS", &info, &c__0, uplo, &n, &n, &
c_n1, &c_n1, &nrhs, &imat, &nfail, &nerrs,
nout);
}
zlacpy_("Full", &n, &nrhs, &b[1], &lda, &work[1], &lda);
zppt02_(uplo, &n, &nrhs, &a[1], &x[1], &lda, &work[1], &
lda, &rwork[1], &result[2]);
/* + TEST 4 */
/* Check solution from generated exact solution. */
zget04_(&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, "ZPPRFS", (ftnlen)32, (ftnlen)6);
zpprfs_(uplo, &n, &nrhs, &a[1], &afac[1], &b[1], &lda, &x[
1], &lda, &rwork[1], &rwork[nrhs + 1], &work[1], &
rwork[(nrhs << 1) + 1], &info);
/* Check error code from ZPPRFS. */
if (info != 0) {
alaerh_(path, "ZPPRFS", &info, &c__0, uplo, &n, &n, &
c_n1, &c_n1, &nrhs, &imat, &nfail, &nerrs,
nout);
}
zget04_(&n, &nrhs, &x[1], &lda, &xact[1], &lda, &rcondc, &
result[4]);
zppt05_(uplo, &n, &nrhs, &a[1], &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___37.ciunit = *nout;
s_wsfe(&io___37);
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 = zlanhp_("1", uplo, &n, &a[1], &rwork[1]);
s_copy(srnamc_1.srnamt, "ZPPCON", (ftnlen)32, (ftnlen)6);
zppcon_(uplo, &n, &afac[1], &anorm, &rcond, &work[1], &rwork[
1], &info);
/* Check error code from ZPPCON. */
if (info != 0) {
alaerh_(path, "ZPPCON", &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 greater than or equal to THRESH. */
if (result[7] >= *thresh) {
if (nfail == 0 && nerrs == 0) {
alahd_(nout, path);
}
io___39.ciunit = *nout;
s_wsfe(&io___39);
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: */
}
/* Print a summary of the results. */
alasum_(path, nout, &nfail, &nrun, &nerrs);
return 0;
/* End of ZCHKPP */
} /* zchkpp_ */
