#include "blaswrap.h"
/* -- translated by f2c (version 19990503).
You must link the resulting object file with the libraries:
-lf2c -lm (in that order)
*/
#include "f2c.h"
/* Common Block Declarations */
struct {
integer infot, nunit;
logical ok, lerr;
} infoc_;
#define infoc_1 infoc_
struct {
char srnamt[6];
} srnamc_;
#define srnamc_1 srnamc_
/* Table of constant values */
static integer c__0 = 0;
static integer c_n1 = -1;
static integer c__2 = 2;
static integer c__1 = 1;
static doublecomplex c_b63 = {0.,0.};
/* Subroutine */ int zdrvpp_(logical *dotype, integer *nn, integer *nval,
integer *nrhs, doublereal *thresh, logical *tsterr, integer *nmax,
doublecomplex *a, doublecomplex *afac, doublecomplex *asav,
doublecomplex *b, doublecomplex *bsav, doublecomplex *x,
doublecomplex *xact, doublereal *s, 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 facts[1*3] = "F" "N" "E";
static char packs[1*2] = "C" "R";
static char equeds[1*2] = "N" "Y";
/* Format strings */
static char fmt_9999[] = "(1x,a6,\002, UPLO='\002,a1,\002', N =\002,i5"
",\002, type \002,i1,\002, test(\002,i1,\002)=\002,g12.5)";
static char fmt_9997[] = "(1x,a6,\002, FACT='\002,a1,\002', UPLO='\002,a"
"1,\002', N=\002,i5,\002, EQUED='\002,a1,\002', type \002,i1,\002"
", test(\002,i1,\002)=\002,g12.5)";
static char fmt_9998[] = "(1x,a6,\002, FACT='\002,a1,\002', UPLO='\002,a"
"1,\002', N=\002,i5,\002, type \002,i1,\002, test(\002,i1,\002)"
"=\002,g12.5)";
/* System generated locals */
address a__1[2];
integer i__1, i__2, i__3, i__4, i__5[2];
char ch__1[2];
/* Builtin functions
Subroutine */ int s_copy(char *, char *, ftnlen, ftnlen);
integer s_wsfe(cilist *), do_fio(integer *, char *, ftnlen), e_wsfe(void);
/* Subroutine */ int s_cat(char *, char **, integer *, integer *, ftnlen);
/* Local variables */
static char fact[1];
static integer ioff, mode;
static doublereal amax;
static char path[3];
static integer imat, info;
static char dist[1], uplo[1], type__[1];
static integer nrun, i__, k, n, ifact, nfail, iseed[4], nfact;
extern doublereal dget06_(doublereal *, doublereal *);
extern logical lsame_(char *, char *);
static char equed[1];
static doublereal roldc, rcond, scond;
static integer nimat;
static doublereal anorm;
extern /* Subroutine */ int zget04_(integer *, integer *, doublecomplex *,
integer *, doublecomplex *, integer *, doublereal *, doublereal *
);
static logical equil;
static integer iuplo, izero, nerrs, k1;
extern /* Subroutine */ int zppt01_(char *, integer *, doublecomplex *,
doublecomplex *, doublereal *, doublereal *), zppt02_(
char *, integer *, integer *, doublecomplex *, doublecomplex *,
integer *, doublecomplex *, integer *, doublereal *, doublereal *);
static logical zerot;
extern /* Subroutine */ int zcopy_(integer *, doublecomplex *, integer *,
doublecomplex *, integer *), zppt05_(char *, integer *, integer *,
doublecomplex *, doublecomplex *, integer *, doublecomplex *,
integer *, doublecomplex *, integer *, doublereal *, doublereal *,
doublereal *);
static char xtype[1];
extern /* Subroutine */ int zppsv_(char *, integer *, integer *,
doublecomplex *, doublecomplex *, integer *, integer *),
zlatb4_(char *, integer *, integer *, integer *, char *, integer *
, integer *, doublereal *, integer *, doublereal *, char *), aladhd_(integer *, char *);
static integer in, kl;
extern /* Subroutine */ int alaerh_(char *, char *, integer *, integer *,
char *, integer *, integer *, integer *, integer *, integer *,
integer *, integer *, integer *, integer *);
static logical prefac;
static integer ku, nt;
static doublereal rcondc;
static logical nofact;
static char packit[1];
static integer iequed;
extern /* Subroutine */ int alasvm_(char *, integer *, integer *, integer
*, integer *);
static doublereal cndnum;
extern /* Subroutine */ int zlaipd_(integer *, doublecomplex *, integer *,
integer *);
static doublereal ainvnm;
extern doublereal zlanhp_(char *, char *, integer *, doublecomplex *,
doublereal *);
extern /* Subroutine */ int zlaqhp_(char *, integer *, doublecomplex *,
doublereal *, doublereal *, doublereal *, char *),
zlacpy_(char *, integer *, integer *, doublecomplex *, integer *,
doublecomplex *, integer *), zlarhs_(char *, char *,
char *, char *, integer *, integer *, integer *, integer *,
integer *, doublecomplex *, integer *, doublecomplex *, integer *,
doublecomplex *, integer *, integer *, integer *), zlaset_(char *, integer *, integer *,
doublecomplex *, doublecomplex *, doublecomplex *, integer *), zlatms_(integer *, integer *, char *, integer *, char *,
doublereal *, integer *, doublereal *, doublereal *, integer *,
integer *, char *, doublecomplex *, integer *, doublecomplex *,
integer *);
static doublereal result[6];
extern /* Subroutine */ int zppequ_(char *, integer *, doublecomplex *,
doublereal *, doublereal *, doublereal *, integer *),
zpptrf_(char *, integer *, doublecomplex *, integer *),
zpptri_(char *, integer *, doublecomplex *, integer *),
zerrvx_(char *, integer *), zppsvx_(char *, char *,
integer *, integer *, doublecomplex *, doublecomplex *, char *,
doublereal *, doublecomplex *, integer *, doublecomplex *,
integer *, doublereal *, doublereal *, doublereal *,
doublecomplex *, doublereal *, integer *);
static integer lda, npp;
/* Fortran I/O blocks */
static cilist io___49 = { 0, 0, 0, fmt_9999, 0 };
static cilist io___52 = { 0, 0, 0, fmt_9997, 0 };
static cilist io___53 = { 0, 0, 0, fmt_9998, 0 };
/* -- LAPACK test routine (version 3.0) --
Univ. of Tennessee, Univ. of California Berkeley, NAG Ltd.,
Courant Institute, Argonne National Lab, and Rice University
June 30, 1999
Purpose
=======
ZDRVPP tests the driver routines ZPPSV and -SVX.
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.
NRHS (input) INTEGER
The number of right hand side vectors to be generated for
each linear system.
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)
ASAV (workspace) COMPLEX*16 array, dimension (NMAX*(NMAX+1)/2)
B (workspace) COMPLEX*16 array, dimension (NMAX*NRHS)
BSAV (workspace) COMPLEX*16 array, dimension (NMAX*NRHS)
X (workspace) COMPLEX*16 array, dimension (NMAX*NRHS)
XACT (workspace) COMPLEX*16 array, dimension (NMAX*NRHS)
S (workspace) DOUBLE PRECISION array, dimension (NMAX)
WORK (workspace) COMPLEX*16 array, dimension
(NMAX*max(3,NRHS))
RWORK (workspace) DOUBLE PRECISION array, dimension (NMAX+2*NRHS)
NOUT (input) INTEGER
The unit number for output.
=====================================================================
Parameter adjustments */
--rwork;
--work;
--s;
--xact;
--x;
--bsav;
--b;
--asav;
--afac;
--a;
--nval;
--dotype;
/* Function Body
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) {
zerrvx_(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);
npp = n * (n + 1) / 2;
*(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 L130;
}
/* Skip types 3, 4, or 5 if the matrix size is too small. */
zerot = imat >= 3 && imat <= 5;
if (zerot && n < imat - 2) {
goto L130;
}
/* 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);
rcondc = 1. / cndnum;
s_copy(srnamc_1.srnamt, "ZLATMS", (ftnlen)6, (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 L120;
}
/* 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);
}
/* Save a copy of the matrix A in ASAV. */
zcopy_(&npp, &a[1], &c__1, &asav[1], &c__1);
for (iequed = 1; iequed <= 2; ++iequed) {
*(unsigned char *)equed = *(unsigned char *)&equeds[
iequed - 1];
if (iequed == 1) {
nfact = 3;
} else {
nfact = 1;
}
i__3 = nfact;
for (ifact = 1; ifact <= i__3; ++ifact) {
*(unsigned char *)fact = *(unsigned char *)&facts[
ifact - 1];
prefac = lsame_(fact, "F");
nofact = lsame_(fact, "N");
equil = lsame_(fact, "E");
if (zerot) {
if (prefac) {
goto L100;
}
rcondc = 0.;
} else if (! lsame_(fact, "N"))
{
/* Compute the condition number for comparison with
the value returned by ZPPSVX (FACT = 'N' reuses
the condition number from the previous iteration
with FACT = 'F'). */
zcopy_(&npp, &asav[1], &c__1, &afac[1], &c__1);
if (equil || iequed > 1) {
/* Compute row and column scale factors to
equilibrate the matrix A. */
zppequ_(uplo, &n, &afac[1], &s[1], &scond, &
amax, &info);
if (info == 0 && n > 0) {
if (iequed > 1) {
scond = 0.;
}
/* Equilibrate the matrix. */
zlaqhp_(uplo, &n, &afac[1], &s[1], &scond,
&amax, equed);
}
}
/* Save the condition number of the
non-equilibrated system for use in ZGET04. */
if (equil) {
roldc = rcondc;
}
/* Compute the 1-norm of A. */
anorm = zlanhp_("1", uplo, &n, &afac[1], &rwork[1]
);
/* Factor the matrix A. */
zpptrf_(uplo, &n, &afac[1], &info);
/* Form the inverse of A. */
zcopy_(&npp, &afac[1], &c__1, &a[1], &c__1);
zpptri_(uplo, &n, &a[1], &info);
/* Compute the 1-norm condition number of A. */
ainvnm = zlanhp_("1", uplo, &n, &a[1], &rwork[1]);
if (anorm <= 0. || ainvnm <= 0.) {
rcondc = 1.;
} else {
rcondc = 1. / anorm / ainvnm;
}
}
/* Restore the matrix A. */
zcopy_(&npp, &asav[1], &c__1, &a[1], &c__1);
/* Form an exact solution and set the right hand side. */
s_copy(srnamc_1.srnamt, "ZLARHS", (ftnlen)6, (ftnlen)
6);
zlarhs_(path, xtype, uplo, " ", &n, &n, &kl, &ku,
nrhs, &a[1], &lda, &xact[1], &lda, &b[1], &
lda, iseed, &info);
*(unsigned char *)xtype = 'C';
zlacpy_("Full", &n, nrhs, &b[1], &lda, &bsav[1], &lda);
if (nofact) {
/* --- Test ZPPSV ---
Compute the L*L' or U'*U factorization of the
matrix and solve the system. */
zcopy_(&npp, &a[1], &c__1, &afac[1], &c__1);
zlacpy_("Full", &n, nrhs, &b[1], &lda, &x[1], &
lda);
s_copy(srnamc_1.srnamt, "ZPPSV ", (ftnlen)6, (
ftnlen)6);
zppsv_(uplo, &n, nrhs, &afac[1], &x[1], &lda, &
info);
/* Check error code from ZPPSV . */
if (info != izero) {
alaerh_(path, "ZPPSV ", &info, &izero, uplo, &
n, &n, &c_n1, &c_n1, nrhs, &imat, &
nfail, &nerrs, nout);
goto L70;
} else if (info != 0) {
goto L70;
}
/* Reconstruct matrix from factors and compute
residual. */
zppt01_(uplo, &n, &a[1], &afac[1], &rwork[1],
result);
/* Compute residual of the computed solution. */
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[1]);
/* Check solution from generated exact solution. */
zget04_(&n, nrhs, &x[1], &lda, &xact[1], &lda, &
rcondc, &result[2]);
nt = 3;
/* Print information about the tests that did not
pass the threshold. */
i__4 = nt;
for (k = 1; k <= i__4; ++k) {
if (result[k - 1] >= *thresh) {
if (nfail == 0 && nerrs == 0) {
aladhd_(nout, path);
}
io___49.ciunit = *nout;
s_wsfe(&io___49);
do_fio(&c__1, "ZPPSV ", (ftnlen)6);
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 += nt;
L70:
;
}
/* --- Test ZPPSVX --- */
if (! prefac && npp > 0) {
zlaset_("Full", &npp, &c__1, &c_b63, &c_b63, &
afac[1], &npp);
}
zlaset_("Full", &n, nrhs, &c_b63, &c_b63, &x[1], &lda);
if (iequed > 1 && n > 0) {
/* Equilibrate the matrix if FACT='F' and
EQUED='Y'. */
zlaqhp_(uplo, &n, &a[1], &s[1], &scond, &amax,
equed);
}
/* Solve the system and compute the condition number
and error bounds using ZPPSVX. */
s_copy(srnamc_1.srnamt, "ZPPSVX", (ftnlen)6, (ftnlen)
6);
zppsvx_(fact, uplo, &n, nrhs, &a[1], &afac[1], equed,
&s[1], &b[1], &lda, &x[1], &lda, &rcond, &
rwork[1], &rwork[*nrhs + 1], &work[1], &rwork[
(*nrhs << 1) + 1], &info);
/* Check the error code from ZPPSVX. */
if (info != izero) {
/* Writing concatenation */
i__5[0] = 1, a__1[0] = fact;
i__5[1] = 1, a__1[1] = uplo;
s_cat(ch__1, a__1, i__5, &c__2, (ftnlen)2);
alaerh_(path, "ZPPSVX", &info, &izero, ch__1, &n,
&n, &c_n1, &c_n1, nrhs, &imat, &nfail, &
nerrs, nout);
goto L90;
}
if (info == 0) {
if (! prefac) {
/* Reconstruct matrix from factors and compute
residual. */
zppt01_(uplo, &n, &a[1], &afac[1], &rwork[(*
nrhs << 1) + 1], result);
k1 = 1;
} else {
k1 = 2;
}
/* Compute residual of the computed solution. */
zlacpy_("Full", &n, nrhs, &bsav[1], &lda, &work[1]
, &lda);
zppt02_(uplo, &n, nrhs, &asav[1], &x[1], &lda, &
work[1], &lda, &rwork[(*nrhs << 1) + 1], &
result[1]);
/* Check solution from generated exact solution. */
if (nofact || prefac && lsame_(equed, "N")) {
zget04_(&n, nrhs, &x[1], &lda, &xact[1], &lda,
&rcondc, &result[2]);
} else {
zget04_(&n, nrhs, &x[1], &lda, &xact[1], &lda,
&roldc, &result[2]);
}
/* Check the error bounds from iterative
refinement. */
zppt05_(uplo, &n, nrhs, &asav[1], &b[1], &lda, &x[
1], &lda, &xact[1], &lda, &rwork[1], &
rwork[*nrhs + 1], &result[3]);
} else {
k1 = 6;
}
/* Compare RCOND from ZPPSVX with the computed value
in RCONDC. */
result[5] = dget06_(&rcond, &rcondc);
/* Print information about the tests that did not pass
the threshold. */
for (k = k1; k <= 6; ++k) {
if (result[k - 1] >= *thresh) {
if (nfail == 0 && nerrs == 0) {
aladhd_(nout, path);
}
if (prefac) {
io___52.ciunit = *nout;
s_wsfe(&io___52);
do_fio(&c__1, "ZPPSVX", (ftnlen)6);
do_fio(&c__1, fact, (ftnlen)1);
do_fio(&c__1, uplo, (ftnlen)1);
do_fio(&c__1, (char *)&n, (ftnlen)sizeof(
integer));
do_fio(&c__1, equed, (ftnlen)1);
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();
} else {
io___53.ciunit = *nout;
s_wsfe(&io___53);
do_fio(&c__1, "ZPPSVX", (ftnlen)6);
do_fio(&c__1, fact, (ftnlen)1);
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;
}
/* L80: */
}
nrun = nrun + 7 - k1;
L90:
L100:
;
}
/* L110: */
}
L120:
;
}
L130:
;
}
/* L140: */
}
/* Print a summary of the results. */
alasvm_(path, nout, &nfail, &nrun, &nerrs);
return 0;
/* End of ZDRVPP */
} /* zdrvpp_ */