#include "blaswrap.h"
/* sdrvpp.f -- translated by f2c (version 20061008).
You must link the resulting object file with libf2c:
on Microsoft Windows system, link with libf2c.lib;
on Linux or Unix systems, link with .../path/to/libf2c.a -lm
or, if you install libf2c.a in a standard place, with -lf2c -lm
-- in that order, at the end of the command line, as in
cc *.o -lf2c -lm
Source for libf2c is in /netlib/f2c/libf2c.zip, e.g.,
http://www.netlib.org/f2c/libf2c.zip
*/
#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__1 = 1;
static real c_b60 = 0.f;
static integer c__2 = 2;
/* Subroutine */ int sdrvpp_(logical *dotype, integer *nn, integer *nval,
integer *nrhs, real *thresh, logical *tsterr, integer *nmax, real *a,
real *afac, real *asav, real *b, real *bsav, real *x, real *xact,
real *s, real *work, real *rwork, integer *iwork, 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 integer i__, k, n, k1, in, kl, ku, nt, lda, npp;
static char fact[1];
static integer ioff, mode;
static real amax;
static char path[3];
static integer imat, info;
static char dist[1], uplo[1], type__[1];
static integer nrun, ifact, nfail, iseed[4], nfact;
extern logical lsame_(char *, char *);
static char equed[1];
static real roldc, rcond, scond;
extern /* Subroutine */ int sget04_(integer *, integer *, real *, integer
*, real *, integer *, real *, real *);
static integer nimat;
extern doublereal sget06_(real *, real *);
static real anorm;
static logical equil;
extern /* Subroutine */ int sppt01_(char *, integer *, real *, real *,
real *, real *);
static integer iuplo, izero, nerrs;
extern /* Subroutine */ int sppt02_(char *, integer *, integer *, real *,
real *, integer *, real *, integer *, real *, real *),
scopy_(integer *, real *, integer *, real *, integer *), sppt05_(
char *, integer *, integer *, real *, real *, integer *, real *,
integer *, real *, integer *, real *, real *, real *);
static logical zerot;
static char xtype[1];
extern /* Subroutine */ int sppsv_(char *, integer *, integer *, real *,
real *, integer *, integer *), slatb4_(char *, integer *,
integer *, integer *, char *, integer *, integer *, real *,
integer *, real *, char *), aladhd_(
integer *, char *), alaerh_(char *, char *, integer *,
integer *, char *, integer *, integer *, integer *, integer *,
integer *, integer *, integer *, integer *, integer *);
static logical prefac;
static real rcondc;
static logical nofact;
static char packit[1];
static integer iequed;
extern /* Subroutine */ int alasvm_(char *, integer *, integer *, integer
*, integer *);
static real cndnum, ainvnm;
extern /* Subroutine */ int slacpy_(char *, integer *, integer *, real *,
integer *, real *, integer *), slarhs_(char *, char *,
char *, char *, integer *, integer *, integer *, integer *,
integer *, real *, integer *, real *, integer *, real *, integer *
, integer *, integer *), slaset_(
char *, integer *, integer *, real *, real *, real *, integer *);
extern doublereal slansp_(char *, char *, integer *, real *, real *);
extern /* Subroutine */ int slaqsp_(char *, integer *, real *, real *,
real *, real *, char *), slatms_(integer *,
integer *, char *, integer *, char *, real *, integer *, real *,
real *, integer *, integer *, char *, real *, integer *, real *,
integer *), sppequ_(char *, integer *,
real *, real *, real *, real *, integer *);
static real result[6];
extern /* Subroutine */ int spptrf_(char *, integer *, real *, integer *), spptri_(char *, integer *, real *, integer *),
serrvx_(char *, integer *), sppsvx_(char *, char *,
integer *, integer *, real *, real *, char *, real *, real *,
integer *, real *, integer *, real *, real *, real *, real *,
integer *, integer *);
/* 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 3.1) --
Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd..
November 2006
Purpose
=======
SDRVPP tests the driver routines SPPSV 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) REAL
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) REAL array, dimension
(NMAX*(NMAX+1)/2)
AFAC (workspace) REAL array, dimension
(NMAX*(NMAX+1)/2)
ASAV (workspace) REAL array, dimension
(NMAX*(NMAX+1)/2)
B (workspace) REAL array, dimension (NMAX*NRHS)
BSAV (workspace) REAL array, dimension (NMAX*NRHS)
X (workspace) REAL array, dimension (NMAX*NRHS)
XACT (workspace) REAL array, dimension (NMAX*NRHS)
S (workspace) REAL array, dimension (NMAX)
WORK (workspace) REAL array, dimension
(NMAX*max(3,NRHS))
RWORK (workspace) REAL array, dimension (NMAX+2*NRHS)
IWORK (workspace) INTEGER array, dimension (NMAX)
NOUT (input) INTEGER
The unit number for output.
=====================================================================
Parameter adjustments */
--iwork;
--rwork;
--work;
--s;
--xact;
--x;
--bsav;
--b;
--asav;
--afac;
--a;
--nval;
--dotype;
/* Function Body
Initialize constants and the random number seed. */
s_copy(path, "Single precision", (ftnlen)1, (ftnlen)16);
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) {
serrvx_(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 SLATB4 and generate a test matrix
with SLATMS. */
slatb4_(path, &imat, &n, &n, type__, &kl, &ku, &anorm, &mode,
&cndnum, dist);
rcondc = 1.f / cndnum;
s_copy(srnamc_1.srnamt, "SLATMS", (ftnlen)6, (ftnlen)6);
slatms_(&n, &n, dist, iseed, type__, &rwork[1], &mode, &
cndnum, &anorm, &kl, &ku, packit, &a[1], &lda, &work[
1], &info);
/* Check error code from SLATMS. */
if (info != 0) {
alaerh_(path, "SLATMS", &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__) {
a[ioff + i__] = 0.f;
/* L20: */
}
ioff += izero;
i__3 = n;
for (i__ = izero; i__ <= i__3; ++i__) {
a[ioff] = 0.f;
ioff += i__;
/* L30: */
}
} else {
ioff = izero;
i__3 = izero - 1;
for (i__ = 1; i__ <= i__3; ++i__) {
a[ioff] = 0.f;
ioff = ioff + n - i__;
/* L40: */
}
ioff -= izero;
i__3 = n;
for (i__ = izero; i__ <= i__3; ++i__) {
a[ioff + i__] = 0.f;
/* L50: */
}
}
} else {
izero = 0;
}
/* Save a copy of the matrix A in ASAV. */
scopy_(&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.f;
} else if (! lsame_(fact, "N"))
{
/* Compute the condition number for comparison with
the value returned by SPPSVX (FACT = 'N' reuses
the condition number from the previous iteration
with FACT = 'F'). */
scopy_(&npp, &asav[1], &c__1, &afac[1], &c__1);
if (equil || iequed > 1) {
/* Compute row and column scale factors to
equilibrate the matrix A. */
sppequ_(uplo, &n, &afac[1], &s[1], &scond, &
amax, &info);
if (info == 0 && n > 0) {
if (iequed > 1) {
scond = 0.f;
}
/* Equilibrate the matrix. */
slaqsp_(uplo, &n, &afac[1], &s[1], &scond,
&amax, equed);
}
}
/* Save the condition number of the
non-equilibrated system for use in SGET04. */
if (equil) {
roldc = rcondc;
}
/* Compute the 1-norm of A. */
anorm = slansp_("1", uplo, &n, &afac[1], &rwork[1] );
/* Factor the matrix A. */
spptrf_(uplo, &n, &afac[1], &info);
/* Form the inverse of A. */
scopy_(&npp, &afac[1], &c__1, &a[1], &c__1);
spptri_(uplo, &n, &a[1], &info);
/* Compute the 1-norm condition number of A. */
ainvnm = slansp_("1", uplo, &n, &a[1], &rwork[1]);
if (anorm <= 0.f || ainvnm <= 0.f) {
rcondc = 1.f;
} else {
rcondc = 1.f / anorm / ainvnm;
}
}
/* Restore the matrix A. */
scopy_(&npp, &asav[1], &c__1, &a[1], &c__1);
/* Form an exact solution and set the right hand side. */
s_copy(srnamc_1.srnamt, "SLARHS", (ftnlen)6, (ftnlen)
6);
slarhs_(path, xtype, uplo, " ", &n, &n, &kl, &ku,
nrhs, &a[1], &lda, &xact[1], &lda, &b[1], &
lda, iseed, &info);
*(unsigned char *)xtype = 'C';
slacpy_("Full", &n, nrhs, &b[1], &lda, &bsav[1], &lda);
if (nofact) {
/* --- Test SPPSV ---
Compute the L*L' or U'*U factorization of the
matrix and solve the system. */
scopy_(&npp, &a[1], &c__1, &afac[1], &c__1);
slacpy_("Full", &n, nrhs, &b[1], &lda, &x[1], &
lda);
s_copy(srnamc_1.srnamt, "SPPSV ", (ftnlen)6, (
ftnlen)6);
sppsv_(uplo, &n, nrhs, &afac[1], &x[1], &lda, &
info);
/* Check error code from SPPSV . */
if (info != izero) {
alaerh_(path, "SPPSV ", &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. */
sppt01_(uplo, &n, &a[1], &afac[1], &rwork[1],
result);
/* Compute residual of the computed solution. */
slacpy_("Full", &n, nrhs, &b[1], &lda, &work[1], &
lda);
sppt02_(uplo, &n, nrhs, &a[1], &x[1], &lda, &work[
1], &lda, &rwork[1], &result[1]);
/* Check solution from generated exact solution. */
sget04_(&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, "SPPSV ", (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(real));
e_wsfe();
++nfail;
}
/* L60: */
}
nrun += nt;
L70:
;
}
/* --- Test SPPSVX --- */
if (! prefac && npp > 0) {
slaset_("Full", &npp, &c__1, &c_b60, &c_b60, &
afac[1], &npp);
}
slaset_("Full", &n, nrhs, &c_b60, &c_b60, &x[1], &lda);
if (iequed > 1 && n > 0) {
/* Equilibrate the matrix if FACT='F' and
EQUED='Y'. */
slaqsp_(uplo, &n, &a[1], &s[1], &scond, &amax,
equed);
}
/* Solve the system and compute the condition number
and error bounds using SPPSVX. */
s_copy(srnamc_1.srnamt, "SPPSVX", (ftnlen)6, (ftnlen)
6);
sppsvx_(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], &iwork[
1], &info);
/* Check the error code from SPPSVX. */
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, "SPPSVX", &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. */
sppt01_(uplo, &n, &a[1], &afac[1], &rwork[(*
nrhs << 1) + 1], result);
k1 = 1;
} else {
k1 = 2;
}
/* Compute residual of the computed solution. */
slacpy_("Full", &n, nrhs, &bsav[1], &lda, &work[1]
, &lda);
sppt02_(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")) {
sget04_(&n, nrhs, &x[1], &lda, &xact[1], &lda,
&rcondc, &result[2]);
} else {
sget04_(&n, nrhs, &x[1], &lda, &xact[1], &lda,
&roldc, &result[2]);
}
/* Check the error bounds from iterative
refinement. */
sppt05_(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 SPPSVX with the computed value
in RCONDC. */
result[5] = sget06_(&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, "SPPSVX", (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(real));
e_wsfe();
} else {
io___53.ciunit = *nout;
s_wsfe(&io___53);
do_fio(&c__1, "SPPSVX", (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(real));
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 SDRVPP */
} /* sdrvpp_ */