#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__2 = 2;
static integer c__0 = 0;
static integer c_n1 = -1;
static integer c__1 = 1;
static doublereal c_b23 = 1.;
static doublereal c_b24 = 0.;
/* Subroutine */ int ddrvpt_(logical *dotype, integer *nn, integer *nval,
integer *nrhs, doublereal *thresh, logical *tsterr, doublereal *a,
doublereal *d__, doublereal *e, doublereal *b, doublereal *x,
doublereal *xact, doublereal *work, doublereal *rwork, integer *nout)
{
/* Initialized data */
static integer iseedy[4] = { 0,0,0,1 };
/* Format strings */
static char fmt_9999[] = "(1x,a6,\002, N =\002,i5,\002, type \002,i2,"
"\002, test \002,i2,\002, ratio = \002,g12.5)";
static char fmt_9998[] = "(1x,a6,\002, FACT='\002,a1,\002', N =\002,i5"
",\002, type \002,i2,\002, test \002,i2,\002, ratio = \002,g12.5)";
/* System generated locals */
integer i__1, i__2, i__3, i__4;
doublereal d__1, d__2, d__3;
/* Builtin functions
Subroutine */ int s_copy(char *, char *, ftnlen, ftnlen);
integer s_wsfe(cilist *), do_fio(integer *, char *, ftnlen), e_wsfe(void);
/* Local variables */
static char fact[1];
static doublereal cond;
static integer mode;
static doublereal dmax__;
static integer imat, info;
static char path[3], dist[1], type__[1];
static integer nrun, i__, j, k, n, ifact;
extern /* Subroutine */ int dget04_(integer *, integer *, doublereal *,
integer *, doublereal *, integer *, doublereal *, doublereal *);
static integer nfail, iseed[4];
static doublereal z__[3];
extern doublereal dget06_(doublereal *, doublereal *);
extern /* Subroutine */ int dscal_(integer *, doublereal *, doublereal *,
integer *);
static doublereal rcond;
static integer nimat;
extern doublereal dasum_(integer *, doublereal *, integer *);
static doublereal anorm;
extern /* Subroutine */ int dptt01_(integer *, doublereal *, doublereal *,
doublereal *, doublereal *, doublereal *, doublereal *), dcopy_(
integer *, doublereal *, integer *, doublereal *, integer *),
dptt02_(integer *, integer *, doublereal *, doublereal *,
doublereal *, integer *, doublereal *, integer *, doublereal *),
dptt05_(integer *, integer *, doublereal *, doublereal *,
doublereal *, integer *, doublereal *, integer *, doublereal *,
integer *, doublereal *, doublereal *, doublereal *);
static integer izero, nerrs, k1;
extern /* Subroutine */ int dptsv_(integer *, integer *, doublereal *,
doublereal *, doublereal *, integer *, integer *);
static logical zerot;
extern /* Subroutine */ int dlatb4_(char *, integer *, integer *, integer
*, char *, integer *, integer *, doublereal *, integer *,
doublereal *, char *);
static integer ia;
extern /* Subroutine */ int 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 integer ku, ix, nt;
extern integer idamax_(integer *, doublereal *, integer *);
static doublereal rcondc;
extern /* Subroutine */ int dlacpy_(char *, integer *, integer *,
doublereal *, integer *, doublereal *, integer *),
dlaset_(char *, integer *, integer *, doublereal *, doublereal *,
doublereal *, integer *), dlaptm_(integer *, integer *,
doublereal *, doublereal *, doublereal *, doublereal *, integer *,
doublereal *, doublereal *, integer *), alasvm_(char *, integer *
, integer *, integer *, integer *), dlatms_(integer *,
integer *, char *, integer *, char *, doublereal *, integer *,
doublereal *, doublereal *, integer *, integer *, char *,
doublereal *, integer *, doublereal *, integer *);
extern doublereal dlanst_(char *, integer *, doublereal *, doublereal *);
extern /* Subroutine */ int dlarnv_(integer *, integer *, integer *,
doublereal *);
static doublereal ainvnm;
extern /* Subroutine */ int dpttrf_(integer *, doublereal *, doublereal *,
integer *), derrvx_(char *, integer *);
static doublereal result[6];
extern /* Subroutine */ int dpttrs_(integer *, integer *, doublereal *,
doublereal *, doublereal *, integer *, integer *), dptsvx_(char *,
integer *, integer *, doublereal *, doublereal *, doublereal *,
doublereal *, doublereal *, integer *, doublereal *, integer *,
doublereal *, doublereal *, doublereal *, doublereal *, integer *);
static integer lda;
/* Fortran I/O blocks */
static cilist io___35 = { 0, 0, 0, fmt_9999, 0 };
static cilist io___38 = { 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
September 30, 1994
Purpose
=======
DDRVPT tests DPTSV 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.
A (workspace) DOUBLE PRECISION array, dimension (NMAX*2)
D (workspace) DOUBLE PRECISION array, dimension (NMAX*2)
E (workspace) DOUBLE PRECISION array, dimension (NMAX*2)
B (workspace) DOUBLE PRECISION array, dimension (NMAX*NRHS)
X (workspace) DOUBLE PRECISION array, dimension (NMAX*NRHS)
XACT (workspace) DOUBLE PRECISION array, dimension (NMAX*NRHS)
WORK (workspace) DOUBLE PRECISION array, dimension
(NMAX*max(3,NRHS))
RWORK (workspace) DOUBLE PRECISION array, dimension
(max(NMAX,2*NRHS))
NOUT (input) INTEGER
The unit number for output.
=====================================================================
Parameter adjustments */
--rwork;
--work;
--xact;
--x;
--b;
--e;
--d__;
--a;
--nval;
--dotype;
/* Function Body */
s_copy(path, "Double precision", (ftnlen)1, (ftnlen)16);
s_copy(path + 1, "PT", (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) {
derrvx_(path, nout);
}
infoc_1.infot = 0;
i__1 = *nn;
for (in = 1; in <= i__1; ++in) {
/* Do for each value of N in NVAL. */
n = nval[in];
lda = max(1,n);
nimat = 12;
if (n <= 0) {
nimat = 1;
}
i__2 = nimat;
for (imat = 1; imat <= i__2; ++imat) {
/* Do the tests only if DOTYPE( IMAT ) is true. */
if (n > 0 && ! dotype[imat]) {
goto L110;
}
/* Set up parameters with DLATB4. */
dlatb4_(path, &imat, &n, &n, type__, &kl, &ku, &anorm, &mode, &
cond, dist);
zerot = imat >= 8 && imat <= 10;
if (imat <= 6) {
/* Type 1-6: generate a symmetric tridiagonal matrix of
known condition number in lower triangular band storage. */
s_copy(srnamc_1.srnamt, "DLATMS", (ftnlen)6, (ftnlen)6);
dlatms_(&n, &n, dist, iseed, type__, &rwork[1], &mode, &cond,
&anorm, &kl, &ku, "B", &a[1], &c__2, &work[1], &info);
/* Check the error code from DLATMS. */
if (info != 0) {
alaerh_(path, "DLATMS", &info, &c__0, " ", &n, &n, &kl, &
ku, &c_n1, &imat, &nfail, &nerrs, nout);
goto L110;
}
izero = 0;
/* Copy the matrix to D and E. */
ia = 1;
i__3 = n - 1;
for (i__ = 1; i__ <= i__3; ++i__) {
d__[i__] = a[ia];
e[i__] = a[ia + 1];
ia += 2;
/* L20: */
}
if (n > 0) {
d__[n] = a[ia];
}
} else {
/* Type 7-12: generate a diagonally dominant matrix with
unknown condition number in the vectors D and E. */
if (! zerot || ! dotype[7]) {
/* Let D and E have values from [-1,1]. */
dlarnv_(&c__2, iseed, &n, &d__[1]);
i__3 = n - 1;
dlarnv_(&c__2, iseed, &i__3, &e[1]);
/* Make the tridiagonal matrix diagonally dominant. */
if (n == 1) {
d__[1] = abs(d__[1]);
} else {
d__[1] = abs(d__[1]) + abs(e[1]);
d__[n] = (d__1 = d__[n], abs(d__1)) + (d__2 = e[n - 1]
, abs(d__2));
i__3 = n - 1;
for (i__ = 2; i__ <= i__3; ++i__) {
d__[i__] = (d__1 = d__[i__], abs(d__1)) + (d__2 =
e[i__], abs(d__2)) + (d__3 = e[i__ - 1],
abs(d__3));
/* L30: */
}
}
/* Scale D and E so the maximum element is ANORM. */
ix = idamax_(&n, &d__[1], &c__1);
dmax__ = d__[ix];
d__1 = anorm / dmax__;
dscal_(&n, &d__1, &d__[1], &c__1);
if (n > 1) {
i__3 = n - 1;
d__1 = anorm / dmax__;
dscal_(&i__3, &d__1, &e[1], &c__1);
}
} else if (izero > 0) {
/* Reuse the last matrix by copying back the zeroed out
elements. */
if (izero == 1) {
d__[1] = z__[1];
if (n > 1) {
e[1] = z__[2];
}
} else if (izero == n) {
e[n - 1] = z__[0];
d__[n] = z__[1];
} else {
e[izero - 1] = z__[0];
d__[izero] = z__[1];
e[izero] = z__[2];
}
}
/* For types 8-10, set one row and column of the matrix to
zero. */
izero = 0;
if (imat == 8) {
izero = 1;
z__[1] = d__[1];
d__[1] = 0.;
if (n > 1) {
z__[2] = e[1];
e[1] = 0.;
}
} else if (imat == 9) {
izero = n;
if (n > 1) {
z__[0] = e[n - 1];
e[n - 1] = 0.;
}
z__[1] = d__[n];
d__[n] = 0.;
} else if (imat == 10) {
izero = (n + 1) / 2;
if (izero > 1) {
z__[0] = e[izero - 1];
z__[2] = e[izero];
e[izero - 1] = 0.;
e[izero] = 0.;
}
z__[1] = d__[izero];
d__[izero] = 0.;
}
}
/* Generate NRHS random solution vectors. */
ix = 1;
i__3 = *nrhs;
for (j = 1; j <= i__3; ++j) {
dlarnv_(&c__2, iseed, &n, &xact[ix]);
ix += lda;
/* L40: */
}
/* Set the right hand side. */
dlaptm_(&n, nrhs, &c_b23, &d__[1], &e[1], &xact[1], &lda, &c_b24,
&b[1], &lda);
for (ifact = 1; ifact <= 2; ++ifact) {
if (ifact == 1) {
*(unsigned char *)fact = 'F';
} else {
*(unsigned char *)fact = 'N';
}
/* Compute the condition number for comparison with
the value returned by DPTSVX. */
if (zerot) {
if (ifact == 1) {
goto L100;
}
rcondc = 0.;
} else if (ifact == 1) {
/* Compute the 1-norm of A. */
anorm = dlanst_("1", &n, &d__[1], &e[1]);
dcopy_(&n, &d__[1], &c__1, &d__[n + 1], &c__1);
if (n > 1) {
i__3 = n - 1;
dcopy_(&i__3, &e[1], &c__1, &e[n + 1], &c__1);
}
/* Factor the matrix A. */
dpttrf_(&n, &d__[n + 1], &e[n + 1], &info);
/* Use DPTTRS to solve for one column at a time of
inv(A), computing the maximum column sum as we go. */
ainvnm = 0.;
i__3 = n;
for (i__ = 1; i__ <= i__3; ++i__) {
i__4 = n;
for (j = 1; j <= i__4; ++j) {
x[j] = 0.;
/* L50: */
}
x[i__] = 1.;
dpttrs_(&n, &c__1, &d__[n + 1], &e[n + 1], &x[1], &
lda, &info);
/* Computing MAX */
d__1 = ainvnm, d__2 = dasum_(&n, &x[1], &c__1);
ainvnm = max(d__1,d__2);
/* L60: */
}
/* Compute the 1-norm condition number of A. */
if (anorm <= 0. || ainvnm <= 0.) {
rcondc = 1.;
} else {
rcondc = 1. / anorm / ainvnm;
}
}
if (ifact == 2) {
/* --- Test DPTSV -- */
dcopy_(&n, &d__[1], &c__1, &d__[n + 1], &c__1);
if (n > 1) {
i__3 = n - 1;
dcopy_(&i__3, &e[1], &c__1, &e[n + 1], &c__1);
}
dlacpy_("Full", &n, nrhs, &b[1], &lda, &x[1], &lda);
/* Factor A as L*D*L' and solve the system A*X = B. */
s_copy(srnamc_1.srnamt, "DPTSV ", (ftnlen)6, (ftnlen)6);
dptsv_(&n, nrhs, &d__[n + 1], &e[n + 1], &x[1], &lda, &
info);
/* Check error code from DPTSV . */
if (info != izero) {
alaerh_(path, "DPTSV ", &info, &izero, " ", &n, &n, &
c__1, &c__1, nrhs, &imat, &nfail, &nerrs,
nout);
}
nt = 0;
if (izero == 0) {
/* Check the factorization by computing the ratio
norm(L*D*L' - A) / (n * norm(A) * EPS ) */
dptt01_(&n, &d__[1], &e[1], &d__[n + 1], &e[n + 1], &
work[1], result);
/* Compute the residual in the solution. */
dlacpy_("Full", &n, nrhs, &b[1], &lda, &work[1], &lda);
dptt02_(&n, nrhs, &d__[1], &e[1], &x[1], &lda, &work[
1], &lda, &result[1]);
/* Check solution from generated exact solution. */
dget04_(&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__3 = nt;
for (k = 1; k <= i__3; ++k) {
if (result[k - 1] >= *thresh) {
if (nfail == 0 && nerrs == 0) {
aladhd_(nout, path);
}
io___35.ciunit = *nout;
s_wsfe(&io___35);
do_fio(&c__1, "DPTSV ", (ftnlen)6);
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;
}
/* L70: */
}
nrun += nt;
}
/* --- Test DPTSVX --- */
if (ifact > 1) {
/* Initialize D( N+1:2*N ) and E( N+1:2*N ) to zero. */
i__3 = n - 1;
for (i__ = 1; i__ <= i__3; ++i__) {
d__[n + i__] = 0.;
e[n + i__] = 0.;
/* L80: */
}
if (n > 0) {
d__[n + n] = 0.;
}
}
dlaset_("Full", &n, nrhs, &c_b24, &c_b24, &x[1], &lda);
/* Solve the system and compute the condition number and
error bounds using DPTSVX. */
s_copy(srnamc_1.srnamt, "DPTSVX", (ftnlen)6, (ftnlen)6);
dptsvx_(fact, &n, nrhs, &d__[1], &e[1], &d__[n + 1], &e[n + 1]
, &b[1], &lda, &x[1], &lda, &rcond, &rwork[1], &rwork[
*nrhs + 1], &work[1], &info);
/* Check the error code from DPTSVX. */
if (info != izero) {
alaerh_(path, "DPTSVX", &info, &izero, fact, &n, &n, &
c__1, &c__1, nrhs, &imat, &nfail, &nerrs, nout);
}
if (izero == 0) {
if (ifact == 2) {
/* Check the factorization by computing the ratio
norm(L*D*L' - A) / (n * norm(A) * EPS ) */
k1 = 1;
dptt01_(&n, &d__[1], &e[1], &d__[n + 1], &e[n + 1], &
work[1], result);
} else {
k1 = 2;
}
/* Compute the residual in the solution. */
dlacpy_("Full", &n, nrhs, &b[1], &lda, &work[1], &lda);
dptt02_(&n, nrhs, &d__[1], &e[1], &x[1], &lda, &work[1], &
lda, &result[1]);
/* Check solution from generated exact solution. */
dget04_(&n, nrhs, &x[1], &lda, &xact[1], &lda, &rcondc, &
result[2]);
/* Check error bounds from iterative refinement. */
dptt05_(&n, nrhs, &d__[1], &e[1], &b[1], &lda, &x[1], &
lda, &xact[1], &lda, &rwork[1], &rwork[*nrhs + 1],
&result[3]);
} else {
k1 = 6;
}
/* Check the reciprocal of the condition number. */
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);
}
io___38.ciunit = *nout;
s_wsfe(&io___38);
do_fio(&c__1, "DPTSVX", (ftnlen)6);
do_fio(&c__1, fact, (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;
}
/* L90: */
}
nrun = nrun + 7 - k1;
L100:
;
}
L110:
;
}
/* L120: */
}
/* Print a summary of the results. */
alasvm_(path, nout, &nfail, &nrun, &nerrs);
return 0;
/* End of DDRVPT */
} /* ddrvpt_ */