/* Subroutine */ int dchkgt_(logical *dotype, integer *nn, integer *nval,
integer *nns, integer *nsval, doublereal *thresh, logical *tsterr,
doublereal *a, doublereal *af, doublereal *b, doublereal *x,
doublereal *xact, doublereal *work, doublereal *rwork, integer *iwork,
integer *nout)
{
/* Initialized data */
static integer iseedy[4] = { 0,0,0,1 };
static char transs[1*3] = "N" "T" "C";
/* Format strings */
static char fmt_9999[] = "(12x,\002N =\002,i5,\002,\002,10x,\002 type"
" \002,i2,\002, test(\002,i2,\002) = \002,g12.5)";
static char fmt_9997[] = "(\002 NORM ='\002,a1,\002', N =\002,i5,\002"
",\002,10x,\002 type \002,i2,\002, test(\002,i2,\002) = \002,g12."
"5)";
static char fmt_9998[] = "(\002 TRANS='\002,a1,\002', N =\002,i5,\002, N"
"RHS=\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;
doublereal d__1, d__2;
/* Local variables */
integer i__, j, k, m, n;
doublereal z__[3];
integer in, kl, ku, ix, lda;
doublereal cond;
integer mode, koff, imat, info;
char path[3], dist[1];
integer irhs, nrhs;
char norm[1], type__[1];
integer nrun;
integer nfail, iseed[4];
doublereal rcond;
integer nimat;
doublereal anorm;
integer itran;
char trans[1];
integer izero, nerrs;
logical zerot;
doublereal rcondc;
doublereal rcondi;
doublereal rcondo;
doublereal ainvnm;
logical trfcon;
doublereal result[7];
/* Fortran I/O blocks */
static cilist io___29 = { 0, 0, 0, fmt_9999, 0 };
static cilist io___39 = { 0, 0, 0, fmt_9997, 0 };
static cilist io___44 = { 0, 0, 0, fmt_9998, 0 };
/* -- LAPACK test routine (version 3.1) -- */
/* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */
/* November 2006 */
/* .. Scalar Arguments .. */
/* .. */
/* .. Array Arguments .. */
/* .. */
/* Purpose */
/* ======= */
/* DCHKGT tests DGTTRF, -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. */
/* A (workspace) DOUBLE PRECISION array, dimension (NMAX*4) */
/* AF (workspace) DOUBLE PRECISION array, dimension (NMAX*4) */
/* B (workspace) DOUBLE PRECISION array, dimension (NMAX*NSMAX) */
/* where NSMAX is the largest entry in NSVAL. */
/* X (workspace) DOUBLE PRECISION array, dimension (NMAX*NSMAX) */
/* XACT (workspace) DOUBLE PRECISION array, dimension (NMAX*NSMAX) */
/* WORK (workspace) DOUBLE PRECISION array, dimension */
/* (NMAX*max(3,NSMAX)) */
/* RWORK (workspace) DOUBLE PRECISION array, dimension */
/* (max(NMAX,2*NSMAX)) */
/* IWORK (workspace) INTEGER array, dimension (2*NMAX) */
/* NOUT (input) INTEGER */
/* The unit number for output. */
/* ===================================================================== */
/* .. Parameters .. */
/* .. */
/* .. Local Scalars .. */
/* .. */
/* .. Local Arrays .. */
/* .. */
/* .. External Functions .. */
/* .. */
/* .. External Subroutines .. */
/* .. */
/* .. Intrinsic Functions .. */
/* .. */
/* .. Scalars in Common .. */
/* .. */
/* .. Common blocks .. */
/* .. */
/* .. Data statements .. */
/* Parameter adjustments */
--iwork;
--rwork;
--work;
--xact;
--x;
--b;
--af;
--a;
--nsval;
--nval;
--dotype;
/* Function Body */
/* .. */
/* .. Executable Statements .. */
s_copy(path, "Double precision", (ftnlen)1, (ftnlen)16);
s_copy(path + 1, "GT", (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) {
derrge_(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];
/* Computing MAX */
i__2 = n - 1;
m = max(i__2,0);
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 (! dotype[imat]) {
goto L100;
}
/* 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) {
/* Types 1-6: generate matrices of known condition number. */
/* Computing MAX */
i__3 = 2 - ku, i__4 = 3 - max(1,n);
koff = max(i__3,i__4);
s_copy(srnamc_1.srnamt, "DLATMS", (ftnlen)32, (ftnlen)6);
dlatms_(&n, &n, dist, iseed, type__, &rwork[1], &mode, &cond,
&anorm, &kl, &ku, "Z", &af[koff], &c__3, &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 L100;
}
izero = 0;
if (n > 1) {
i__3 = n - 1;
dcopy_(&i__3, &af[4], &c__3, &a[1], &c__1);
i__3 = n - 1;
dcopy_(&i__3, &af[3], &c__3, &a[n + m + 1], &c__1);
}
dcopy_(&n, &af[2], &c__3, &a[m + 1], &c__1);
} else {
/* Types 7-12: generate tridiagonal matrices with */
/* unknown condition numbers. */
if (! zerot || ! dotype[7]) {
/* Generate a matrix with elements from [-1,1]. */
i__3 = n + (m << 1);
dlarnv_(&c__2, iseed, &i__3, &a[1]);
if (anorm != 1.) {
i__3 = n + (m << 1);
dscal_(&i__3, &anorm, &a[1], &c__1);
}
} else if (izero > 0) {
/* Reuse the last matrix by copying back the zeroed out */
/* elements. */
if (izero == 1) {
a[n] = z__[1];
if (n > 1) {
a[1] = z__[2];
}
} else if (izero == n) {
a[n * 3 - 2] = z__[0];
a[(n << 1) - 1] = z__[1];
} else {
a[(n << 1) - 2 + izero] = z__[0];
a[n - 1 + izero] = z__[1];
a[izero] = z__[2];
}
}
/* If IMAT > 7, set one column of the matrix to 0. */
if (! zerot) {
izero = 0;
} else if (imat == 8) {
izero = 1;
z__[1] = a[n];
a[n] = 0.;
if (n > 1) {
z__[2] = a[1];
a[1] = 0.;
}
} else if (imat == 9) {
izero = n;
z__[0] = a[n * 3 - 2];
z__[1] = a[(n << 1) - 1];
a[n * 3 - 2] = 0.;
a[(n << 1) - 1] = 0.;
} else {
izero = (n + 1) / 2;
i__3 = n - 1;
for (i__ = izero; i__ <= i__3; ++i__) {
a[(n << 1) - 2 + i__] = 0.;
a[n - 1 + i__] = 0.;
a[i__] = 0.;
/* L20: */
}
a[n * 3 - 2] = 0.;
a[(n << 1) - 1] = 0.;
}
}
/* + TEST 1 */
/* Factor A as L*U and compute the ratio */
/* norm(L*U - A) / (n * norm(A) * EPS ) */
i__3 = n + (m << 1);
dcopy_(&i__3, &a[1], &c__1, &af[1], &c__1);
s_copy(srnamc_1.srnamt, "DGTTRF", (ftnlen)32, (ftnlen)6);
dgttrf_(&n, &af[1], &af[m + 1], &af[n + m + 1], &af[n + (m << 1)
+ 1], &iwork[1], &info);
/* Check error code from DGTTRF. */
if (info != izero) {
alaerh_(path, "DGTTRF", &info, &izero, " ", &n, &n, &c__1, &
c__1, &c_n1, &imat, &nfail, &nerrs, nout);
}
trfcon = info != 0;
dgtt01_(&n, &a[1], &a[m + 1], &a[n + m + 1], &af[1], &af[m + 1], &
af[n + m + 1], &af[n + (m << 1) + 1], &iwork[1], &work[1],
&lda, &rwork[1], result);
/* Print the test ratio if it is .GE. THRESH. */
if (result[0] >= *thresh) {
if (nfail == 0 && nerrs == 0) {
alahd_(nout, path);
}
io___29.ciunit = *nout;
s_wsfe(&io___29);
do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&imat, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&c__1, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&result[0], (ftnlen)sizeof(doublereal));
e_wsfe();
++nfail;
}
++nrun;
for (itran = 1; itran <= 2; ++itran) {
*(unsigned char *)trans = *(unsigned char *)&transs[itran - 1]
;
if (itran == 1) {
*(unsigned char *)norm = 'O';
} else {
*(unsigned char *)norm = 'I';
}
anorm = dlangt_(norm, &n, &a[1], &a[m + 1], &a[n + m + 1]);
if (! trfcon) {
/* Use DGTTRS to solve for one column at a time of inv(A) */
/* or inv(A^T), 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.;
/* L30: */
}
x[i__] = 1.;
dgttrs_(trans, &n, &c__1, &af[1], &af[m + 1], &af[n +
m + 1], &af[n + (m << 1) + 1], &iwork[1], &x[
1], &lda, &info);
/* Computing MAX */
d__1 = ainvnm, d__2 = dasum_(&n, &x[1], &c__1);
ainvnm = max(d__1,d__2);
/* L40: */
}
/* Compute RCONDC = 1 / (norm(A) * norm(inv(A)) */
if (anorm <= 0. || ainvnm <= 0.) {
rcondc = 1.;
} else {
rcondc = 1. / anorm / ainvnm;
}
if (itran == 1) {
rcondo = rcondc;
} else {
rcondi = rcondc;
}
} else {
rcondc = 0.;
}
/* + TEST 7 */
/* Estimate the reciprocal of the condition number of the */
/* matrix. */
s_copy(srnamc_1.srnamt, "DGTCON", (ftnlen)32, (ftnlen)6);
dgtcon_(norm, &n, &af[1], &af[m + 1], &af[n + m + 1], &af[n +
(m << 1) + 1], &iwork[1], &anorm, &rcond, &work[1], &
iwork[n + 1], &info);
/* Check error code from DGTCON. */
if (info != 0) {
alaerh_(path, "DGTCON", &info, &c__0, norm, &n, &n, &c_n1,
&c_n1, &c_n1, &imat, &nfail, &nerrs, nout);
}
result[6] = dget06_(&rcond, &rcondc);
/* Print the test ratio if it is .GE. THRESH. */
if (result[6] >= *thresh) {
if (nfail == 0 && nerrs == 0) {
alahd_(nout, path);
}
io___39.ciunit = *nout;
s_wsfe(&io___39);
do_fio(&c__1, norm, (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__7, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&result[6], (ftnlen)sizeof(
doublereal));
e_wsfe();
++nfail;
}
++nrun;
/* L50: */
}
/* Skip the remaining tests if the matrix is singular. */
if (trfcon) {
goto L100;
}
i__3 = *nns;
for (irhs = 1; irhs <= i__3; ++irhs) {
nrhs = nsval[irhs];
/* Generate NRHS random solution vectors. */
ix = 1;
i__4 = nrhs;
for (j = 1; j <= i__4; ++j) {
dlarnv_(&c__2, iseed, &n, &xact[ix]);
ix += lda;
/* L60: */
}
for (itran = 1; itran <= 3; ++itran) {
*(unsigned char *)trans = *(unsigned char *)&transs[itran
- 1];
if (itran == 1) {
rcondc = rcondo;
} else {
rcondc = rcondi;
}
/* Set the right hand side. */
dlagtm_(trans, &n, &nrhs, &c_b63, &a[1], &a[m + 1], &a[n
+ m + 1], &xact[1], &lda, &c_b64, &b[1], &lda);
/* + TEST 2 */
/* Solve op(A) * X = B and compute the residual. */
dlacpy_("Full", &n, &nrhs, &b[1], &lda, &x[1], &lda);
s_copy(srnamc_1.srnamt, "DGTTRS", (ftnlen)32, (ftnlen)6);
dgttrs_(trans, &n, &nrhs, &af[1], &af[m + 1], &af[n + m +
1], &af[n + (m << 1) + 1], &iwork[1], &x[1], &lda,
&info);
/* Check error code from DGTTRS. */
if (info != 0) {
alaerh_(path, "DGTTRS", &info, &c__0, trans, &n, &n, &
c_n1, &c_n1, &nrhs, &imat, &nfail, &nerrs,
nout);
}
dlacpy_("Full", &n, &nrhs, &b[1], &lda, &work[1], &lda);
dgtt02_(trans, &n, &nrhs, &a[1], &a[m + 1], &a[n + m + 1],
&x[1], &lda, &work[1], &lda, &rwork[1], &result[
1]);
/* + TEST 3 */
/* Check solution from generated exact solution. */
dget04_(&n, &nrhs, &x[1], &lda, &xact[1], &lda, &rcondc, &
result[2]);
/* + TESTS 4, 5, and 6 */
/* Use iterative refinement to improve the solution. */
s_copy(srnamc_1.srnamt, "DGTRFS", (ftnlen)32, (ftnlen)6);
dgtrfs_(trans, &n, &nrhs, &a[1], &a[m + 1], &a[n + m + 1],
&af[1], &af[m + 1], &af[n + m + 1], &af[n + (m <<
1) + 1], &iwork[1], &b[1], &lda, &x[1], &lda, &
rwork[1], &rwork[nrhs + 1], &work[1], &iwork[n +
1], &info);
/* Check error code from DGTRFS. */
if (info != 0) {
alaerh_(path, "DGTRFS", &info, &c__0, trans, &n, &n, &
c_n1, &c_n1, &nrhs, &imat, &nfail, &nerrs,
nout);
}
dget04_(&n, &nrhs, &x[1], &lda, &xact[1], &lda, &rcondc, &
result[3]);
dgtt05_(trans, &n, &nrhs, &a[1], &a[m + 1], &a[n + m + 1],
&b[1], &lda, &x[1], &lda, &xact[1], &lda, &rwork[
1], &rwork[nrhs + 1], &result[4]);
/* Print information about the tests that did not pass */
/* the threshold. */
for (k = 2; k <= 6; ++k) {
if (result[k - 1] >= *thresh) {
if (nfail == 0 && nerrs == 0) {
alahd_(nout, path);
}
io___44.ciunit = *nout;
s_wsfe(&io___44);
do_fio(&c__1, trans, (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: */
}
/* L90: */
}
L100:
;
}
/* L110: */
}
/* Print a summary of the results. */
alasum_(path, nout, &nfail, &nrun, &nerrs);
return 0;
/* End of DCHKGT */
} /* dchkgt_ */
/* Subroutine */ int ddrvls_(logical *dotype, integer *nm, integer *mval,
integer *nn, integer *nval, integer *nns, integer *nsval, integer *
nnb, integer *nbval, integer *nxval, doublereal *thresh, logical *
tsterr, doublereal *a, doublereal *copya, doublereal *b, doublereal *
copyb, doublereal *c__, doublereal *s, doublereal *copys, doublereal *
work, integer *iwork, integer *nout)
{
/* Initialized data */
static integer iseedy[4] = { 1988,1989,1990,1991 };
/* Format strings */
static char fmt_9999[] = "(\002 TRANS='\002,a1,\002', M=\002,i5,\002, N"
"=\002,i5,\002, NRHS=\002,i4,\002, NB=\002,i4,\002, type\002,i2"
",\002, test(\002,i2,\002)=\002,g12.5)";
static char fmt_9998[] = "(\002 M=\002,i5,\002, N=\002,i5,\002, NRHS="
"\002,i4,\002, NB=\002,i4,\002, type\002,i2,\002, test(\002,i2"
",\002)=\002,g12.5)";
/* System generated locals */
integer i__1, i__2, i__3, i__4, i__5, i__6;
doublereal d__1, d__2;
/* Builtin functions
Subroutine */ int s_copy(char *, char *, ftnlen, ftnlen);
double sqrt(doublereal), log(doublereal);
integer s_wsfe(cilist *), do_fio(integer *, char *, ftnlen), e_wsfe(void);
/* Local variables */
static integer info;
static char path[3];
static integer rank, nrhs, nlvl, nrun, i__, j, k;
extern /* Subroutine */ int alahd_(integer *, char *);
static integer m, n;
extern /* Subroutine */ int dscal_(integer *, doublereal *, doublereal *,
integer *);
static integer nfail, iseed[4];
extern /* Subroutine */ int dgemm_(char *, char *, integer *, integer *,
integer *, doublereal *, doublereal *, integer *, doublereal *,
integer *, doublereal *, doublereal *, integer *);
static integer crank;
extern /* Subroutine */ int dgels_(char *, integer *, integer *, integer *
, doublereal *, integer *, doublereal *, integer *, doublereal *,
integer *, integer *);
static integer irank;
static doublereal rcond;
extern doublereal dasum_(integer *, doublereal *, integer *);
static integer itran, mnmin, ncols;
static doublereal norma, normb;
extern doublereal dqrt12_(integer *, integer *, doublereal *, integer *,
doublereal *, doublereal *, integer *), dqrt14_(char *, integer *,
integer *, integer *, doublereal *, integer *, doublereal *,
integer *, doublereal *, integer *), dqrt17_(char *,
integer *, integer *, integer *, integer *, doublereal *, integer
*, doublereal *, integer *, doublereal *, integer *, doublereal *,
doublereal *, integer *);
extern /* Subroutine */ int daxpy_(integer *, doublereal *, doublereal *,
integer *, doublereal *, integer *);
static char trans[1];
static integer nerrs, itype;
extern /* Subroutine */ int dqrt13_(integer *, integer *, integer *,
doublereal *, integer *, doublereal *, integer *);
static integer lwork;
extern /* Subroutine */ int dqrt15_(integer *, integer *, integer *,
integer *, integer *, doublereal *, integer *, doublereal *,
integer *, doublereal *, integer *, doublereal *, doublereal *,
integer *, doublereal *, integer *), dqrt16_(char *, integer *,
integer *, integer *, doublereal *, integer *, doublereal *,
integer *, doublereal *, integer *, doublereal *, doublereal *);
static integer nrows, lwlsy, nb, im, in;
extern doublereal dlamch_(char *);
extern /* Subroutine */ int alaerh_(char *, char *, integer *, integer *,
char *, integer *, integer *, integer *, integer *, integer *,
integer *, integer *, integer *, integer *);
static integer iscale;
extern /* Subroutine */ int dgelsd_(integer *, integer *, integer *,
doublereal *, integer *, doublereal *, integer *, doublereal *,
doublereal *, integer *, doublereal *, integer *, integer *,
integer *), dlacpy_(char *, integer *, integer *, doublereal *,
integer *, doublereal *, integer *), dgelss_(integer *,
integer *, integer *, doublereal *, integer *, doublereal *,
integer *, doublereal *, doublereal *, integer *, doublereal *,
integer *, integer *), alasvm_(char *, integer *, integer *,
integer *, integer *), dgelsx_(integer *, integer *,
integer *, doublereal *, integer *, doublereal *, integer *,
integer *, doublereal *, integer *, doublereal *, integer *),
dgelsy_(integer *, integer *, integer *, doublereal *, integer *,
doublereal *, integer *, integer *, doublereal *, integer *,
doublereal *, integer *, integer *), dlarnv_(integer *, integer *,
integer *, doublereal *), derrls_(char *, integer *),
xlaenv_(integer *, integer *);
static integer ldwork;
static doublereal result[18];
static integer lda, ldb, inb;
static doublereal eps;
static integer ins;
/* Fortran I/O blocks */
static cilist io___35 = { 0, 0, 0, fmt_9999, 0 };
static cilist io___40 = { 0, 0, 0, fmt_9998, 0 };
static cilist io___42 = { 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
January 3, 2000
Purpose
=======
DDRVLS tests the least squares driver routines DGELS, DGELSS, DGELSX,
DGELSY and DGELSD.
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.
The matrix of type j is generated as follows:
j=1: A = U*D*V where U and V are random orthogonal matrices
and D has random entries (> 0.1) taken from a uniform
distribution (0,1). A is full rank.
j=2: The same of 1, but A is scaled up.
j=3: The same of 1, but A is scaled down.
j=4: A = U*D*V where U and V are random orthogonal matrices
and D has 3*min(M,N)/4 random entries (> 0.1) taken
from a uniform distribution (0,1) and the remaining
entries set to 0. A is rank-deficient.
j=5: The same of 4, but A is scaled up.
j=6: The same of 5, but A is scaled down.
NM (input) INTEGER
The number of values of M contained in the vector MVAL.
MVAL (input) INTEGER array, dimension (NM)
The values of the matrix row dimension M.
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 column 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.
NNB (input) INTEGER
The number of values of NB and NX contained in the
vectors NBVAL and NXVAL. The blocking parameters are used
in pairs (NB,NX).
NBVAL (input) INTEGER array, dimension (NNB)
The values of the blocksize NB.
NXVAL (input) INTEGER array, dimension (NNB)
The values of the crossover point NX.
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 (MMAX*NMAX)
where MMAX is the maximum value of M in MVAL and NMAX is the
maximum value of N in NVAL.
COPYA (workspace) DOUBLE PRECISION array, dimension (MMAX*NMAX)
B (workspace) DOUBLE PRECISION array, dimension (MMAX*NSMAX)
where MMAX is the maximum value of M in MVAL and NSMAX is the
maximum value of NRHS in NSVAL.
COPYB (workspace) DOUBLE PRECISION array, dimension (MMAX*NSMAX)
C (workspace) DOUBLE PRECISION array, dimension (MMAX*NSMAX)
S (workspace) DOUBLE PRECISION array, dimension
(min(MMAX,NMAX))
COPYS (workspace) DOUBLE PRECISION array, dimension
(min(MMAX,NMAX))
WORK (workspace) DOUBLE PRECISION array,
dimension (MMAX*NMAX + 4*NMAX + MMAX).
IWORK (workspace) INTEGER array, dimension (15*NMAX)
NOUT (input) INTEGER
The unit number for output.
=====================================================================
Parameter adjustments */
--iwork;
--work;
--copys;
--s;
--c__;
--copyb;
--b;
--copya;
--a;
--nxval;
--nbval;
--nsval;
--nval;
--mval;
--dotype;
/* Function Body
Initialize constants and the random number seed. */
s_copy(path, "Double precision", (ftnlen)1, (ftnlen)16);
s_copy(path + 1, "LS", (ftnlen)2, (ftnlen)2);
nrun = 0;
nfail = 0;
nerrs = 0;
for (i__ = 1; i__ <= 4; ++i__) {
iseed[i__ - 1] = iseedy[i__ - 1];
/* L10: */
}
eps = dlamch_("Epsilon");
/* Threshold for rank estimation */
rcond = sqrt(eps) - (sqrt(eps) - eps) / 2;
/* Test the error exits */
if (*tsterr) {
derrls_(path, nout);
}
/* Print the header if NM = 0 or NN = 0 and THRESH = 0. */
if ((*nm == 0 || *nn == 0) && *thresh == 0.) {
alahd_(nout, path);
}
infoc_1.infot = 0;
xlaenv_(&c__2, &c__2);
xlaenv_(&c__9, &c__25);
i__1 = *nm;
for (im = 1; im <= i__1; ++im) {
m = mval[im];
lda = max(1,m);
i__2 = *nn;
for (in = 1; in <= i__2; ++in) {
n = nval[in];
mnmin = min(m,n);
/* Computing MAX */
i__3 = max(1,m);
ldb = max(i__3,n);
i__3 = *nns;
for (ins = 1; ins <= i__3; ++ins) {
nrhs = nsval[ins];
/* Computing MAX
Computing MAX */
d__1 = 1., d__2 = (doublereal) mnmin;
i__4 = (integer) (log(max(d__1,d__2) / 26.) / log(2.)) + 1;
nlvl = max(i__4,0);
/* Computing MAX */
i__4 = 1, i__5 = (m + nrhs) * (n + 2), i__4 = max(i__4,i__5),
i__5 = (n + nrhs) * (m + 2), i__4 = max(i__4,i__5),
i__5 = m * n + (mnmin << 2) + max(m,n), i__4 = max(
i__4,i__5), i__5 = mnmin * 12 + mnmin * 50 + (mnmin <<
3) * nlvl + mnmin * nrhs + 676;
lwork = max(i__4,i__5);
for (irank = 1; irank <= 2; ++irank) {
for (iscale = 1; iscale <= 3; ++iscale) {
itype = (irank - 1) * 3 + iscale;
if (! dotype[itype]) {
goto L110;
}
if (irank == 1) {
/* Test DGELS
Generate a matrix of scaling type ISCALE */
dqrt13_(&iscale, &m, &n, ©a[1], &lda, &norma,
iseed);
i__4 = *nnb;
for (inb = 1; inb <= i__4; ++inb) {
nb = nbval[inb];
xlaenv_(&c__1, &nb);
xlaenv_(&c__3, &nxval[inb]);
for (itran = 1; itran <= 2; ++itran) {
if (itran == 1) {
*(unsigned char *)trans = 'N';
nrows = m;
ncols = n;
} else {
*(unsigned char *)trans = 'T';
nrows = n;
ncols = m;
}
ldwork = max(1,ncols);
/* Set up a consistent rhs */
if (ncols > 0) {
i__5 = ncols * nrhs;
dlarnv_(&c__2, iseed, &i__5, &work[1])
;
i__5 = ncols * nrhs;
d__1 = 1. / (doublereal) ncols;
dscal_(&i__5, &d__1, &work[1], &c__1);
}
dgemm_(trans, "No transpose", &nrows, &
nrhs, &ncols, &c_b24, ©a[1], &
lda, &work[1], &ldwork, &c_b25, &
b[1], &ldb)
;
dlacpy_("Full", &nrows, &nrhs, &b[1], &
ldb, ©b[1], &ldb);
/* Solve LS or overdetermined system */
if (m > 0 && n > 0) {
dlacpy_("Full", &m, &n, ©a[1], &
lda, &a[1], &lda);
dlacpy_("Full", &nrows, &nrhs, ©b[
1], &ldb, &b[1], &ldb);
}
s_copy(srnamc_1.srnamt, "DGELS ", (ftnlen)
6, (ftnlen)6);
dgels_(trans, &m, &n, &nrhs, &a[1], &lda,
&b[1], &ldb, &work[1], &lwork, &
info);
if (info != 0) {
alaerh_(path, "DGELS ", &info, &c__0,
trans, &m, &n, &nrhs, &c_n1, &
nb, &itype, &nfail, &nerrs,
nout);
}
/* Check correctness of results */
ldwork = max(1,nrows);
if (nrows > 0 && nrhs > 0) {
dlacpy_("Full", &nrows, &nrhs, ©b[
1], &ldb, &c__[1], &ldb);
}
dqrt16_(trans, &m, &n, &nrhs, ©a[1], &
lda, &b[1], &ldb, &c__[1], &ldb, &
work[1], result);
if (itran == 1 && m >= n || itran == 2 &&
m < n) {
/* Solving LS system */
result[1] = dqrt17_(trans, &c__1, &m,
&n, &nrhs, ©a[1], &lda, &
b[1], &ldb, ©b[1], &ldb, &
c__[1], &work[1], &lwork);
} else {
/* Solving overdetermined system */
result[1] = dqrt14_(trans, &m, &n, &
nrhs, ©a[1], &lda, &b[1],
&ldb, &work[1], &lwork);
}
/* 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___35.ciunit = *nout;
s_wsfe(&io___35);
do_fio(&c__1, trans, (ftnlen)1);
do_fio(&c__1, (char *)&m, (ftnlen)
sizeof(integer));
do_fio(&c__1, (char *)&n, (ftnlen)
sizeof(integer));
do_fio(&c__1, (char *)&nrhs, (
ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&nb, (
ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&itype, (
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;
}
/* L20: */
}
nrun += 2;
/* L30: */
}
/* L40: */
}
}
/* Generate a matrix of scaling type ISCALE and rank
type IRANK. */
dqrt15_(&iscale, &irank, &m, &n, &nrhs, ©a[1], &
lda, ©b[1], &ldb, ©s[1], &rank, &
norma, &normb, iseed, &work[1], &lwork);
/* workspace used: MAX(M+MIN(M,N),NRHS*MIN(M,N),2*N+M)
Initialize vector IWORK. */
i__4 = n;
for (j = 1; j <= i__4; ++j) {
iwork[j] = 0;
/* L50: */
}
ldwork = max(1,m);
/* Test DGELSX
DGELSX: Compute the minimum-norm solution X
to min( norm( A * X - B ) ) using a complete
orthogonal factorization. */
dlacpy_("Full", &m, &n, ©a[1], &lda, &a[1], &lda);
dlacpy_("Full", &m, &nrhs, ©b[1], &ldb, &b[1], &
ldb);
s_copy(srnamc_1.srnamt, "DGELSX", (ftnlen)6, (ftnlen)
6);
dgelsx_(&m, &n, &nrhs, &a[1], &lda, &b[1], &ldb, &
iwork[1], &rcond, &crank, &work[1], &info);
if (info != 0) {
alaerh_(path, "DGELSX", &info, &c__0, " ", &m, &n,
&nrhs, &c_n1, &nb, &itype, &nfail, &
nerrs, nout);
}
/* workspace used: MAX( MNMIN+3*N, 2*MNMIN+NRHS )
Test 3: Compute relative error in svd
workspace: M*N + 4*MIN(M,N) + MAX(M,N) */
result[2] = dqrt12_(&crank, &crank, &a[1], &lda, &
copys[1], &work[1], &lwork);
/* Test 4: Compute error in solution
workspace: M*NRHS + M */
dlacpy_("Full", &m, &nrhs, ©b[1], &ldb, &work[1],
&ldwork);
dqrt16_("No transpose", &m, &n, &nrhs, ©a[1], &
lda, &b[1], &ldb, &work[1], &ldwork, &work[m *
nrhs + 1], &result[3]);
/* Test 5: Check norm of r'*A
workspace: NRHS*(M+N) */
result[4] = 0.;
if (m > crank) {
result[4] = dqrt17_("No transpose", &c__1, &m, &n,
&nrhs, ©a[1], &lda, &b[1], &ldb, &
copyb[1], &ldb, &c__[1], &work[1], &lwork);
}
/* Test 6: Check if x is in the rowspace of A
workspace: (M+NRHS)*(N+2) */
result[5] = 0.;
if (n > crank) {
result[5] = dqrt14_("No transpose", &m, &n, &nrhs,
©a[1], &lda, &b[1], &ldb, &work[1], &
lwork);
}
/* Print information about the tests that did not
pass the threshold. */
for (k = 3; k <= 6; ++k) {
if (result[k - 1] >= *thresh) {
if (nfail == 0 && nerrs == 0) {
alahd_(nout, path);
}
io___40.ciunit = *nout;
s_wsfe(&io___40);
do_fio(&c__1, (char *)&m, (ftnlen)sizeof(
integer));
do_fio(&c__1, (char *)&n, (ftnlen)sizeof(
integer));
do_fio(&c__1, (char *)&nrhs, (ftnlen)sizeof(
integer));
do_fio(&c__1, (char *)&nb, (ftnlen)sizeof(
integer));
do_fio(&c__1, (char *)&itype, (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 += 4;
/* Loop for testing different block sizes. */
i__4 = *nnb;
for (inb = 1; inb <= i__4; ++inb) {
nb = nbval[inb];
xlaenv_(&c__1, &nb);
xlaenv_(&c__3, &nxval[inb]);
/* Test DGELSY
DGELSY: Compute the minimum-norm solution X
to min( norm( A * X - B ) )
using the rank-revealing orthogonal
factorization.
Initialize vector IWORK. */
i__5 = n;
for (j = 1; j <= i__5; ++j) {
iwork[j] = 0;
/* L70: */
}
/* Set LWLSY to the adequate value.
Computing MAX */
i__5 = 1, i__6 = mnmin + (n << 1) + nb * (n + 1),
i__5 = max(i__5,i__6), i__6 = (mnmin << 1)
+ nb * nrhs;
lwlsy = max(i__5,i__6);
dlacpy_("Full", &m, &n, ©a[1], &lda, &a[1], &
lda);
dlacpy_("Full", &m, &nrhs, ©b[1], &ldb, &b[1],
&ldb);
s_copy(srnamc_1.srnamt, "DGELSY", (ftnlen)6, (
ftnlen)6);
dgelsy_(&m, &n, &nrhs, &a[1], &lda, &b[1], &ldb, &
iwork[1], &rcond, &crank, &work[1], &
lwlsy, &info);
if (info != 0) {
alaerh_(path, "DGELSY", &info, &c__0, " ", &m,
&n, &nrhs, &c_n1, &nb, &itype, &
nfail, &nerrs, nout);
}
/* Test 7: Compute relative error in svd
workspace: M*N + 4*MIN(M,N) + MAX(M,N) */
result[6] = dqrt12_(&crank, &crank, &a[1], &lda, &
copys[1], &work[1], &lwork);
/* Test 8: Compute error in solution
workspace: M*NRHS + M */
dlacpy_("Full", &m, &nrhs, ©b[1], &ldb, &work[
1], &ldwork);
dqrt16_("No transpose", &m, &n, &nrhs, ©a[1],
&lda, &b[1], &ldb, &work[1], &ldwork, &
work[m * nrhs + 1], &result[7]);
/* Test 9: Check norm of r'*A
workspace: NRHS*(M+N) */
result[8] = 0.;
if (m > crank) {
result[8] = dqrt17_("No transpose", &c__1, &m,
&n, &nrhs, ©a[1], &lda, &b[1], &
ldb, ©b[1], &ldb, &c__[1], &work[
1], &lwork);
}
/* Test 10: Check if x is in the rowspace of A
workspace: (M+NRHS)*(N+2) */
result[9] = 0.;
if (n > crank) {
result[9] = dqrt14_("No transpose", &m, &n, &
nrhs, ©a[1], &lda, &b[1], &ldb, &
work[1], &lwork);
}
/* Test DGELSS
DGELSS: Compute the minimum-norm solution X
to min( norm( A * X - B ) )
using the SVD. */
dlacpy_("Full", &m, &n, ©a[1], &lda, &a[1], &
lda);
dlacpy_("Full", &m, &nrhs, ©b[1], &ldb, &b[1],
&ldb);
s_copy(srnamc_1.srnamt, "DGELSS", (ftnlen)6, (
ftnlen)6);
dgelss_(&m, &n, &nrhs, &a[1], &lda, &b[1], &ldb, &
s[1], &rcond, &crank, &work[1], &lwork, &
info);
if (info != 0) {
alaerh_(path, "DGELSS", &info, &c__0, " ", &m,
&n, &nrhs, &c_n1, &nb, &itype, &
nfail, &nerrs, nout);
}
/* workspace used: 3*min(m,n) +
max(2*min(m,n),nrhs,max(m,n))
Test 11: Compute relative error in svd */
if (rank > 0) {
daxpy_(&mnmin, &c_b92, ©s[1], &c__1, &s[1]
, &c__1);
result[10] = dasum_(&mnmin, &s[1], &c__1) /
dasum_(&mnmin, ©s[1], &c__1) / (
eps * (doublereal) mnmin);
} else {
result[10] = 0.;
}
/* Test 12: Compute error in solution */
dlacpy_("Full", &m, &nrhs, ©b[1], &ldb, &work[
1], &ldwork);
dqrt16_("No transpose", &m, &n, &nrhs, ©a[1],
&lda, &b[1], &ldb, &work[1], &ldwork, &
work[m * nrhs + 1], &result[11]);
/* Test 13: Check norm of r'*A */
result[12] = 0.;
if (m > crank) {
result[12] = dqrt17_("No transpose", &c__1, &
m, &n, &nrhs, ©a[1], &lda, &b[1],
&ldb, ©b[1], &ldb, &c__[1], &work[
1], &lwork);
}
/* Test 14: Check if x is in the rowspace of A */
result[13] = 0.;
if (n > crank) {
result[13] = dqrt14_("No transpose", &m, &n, &
nrhs, ©a[1], &lda, &b[1], &ldb, &
work[1], &lwork);
}
/* Test DGELSD
DGELSD: Compute the minimum-norm solution X
to min( norm( A * X - B ) ) using a
divide and conquer SVD.
Initialize vector IWORK. */
i__5 = n;
for (j = 1; j <= i__5; ++j) {
iwork[j] = 0;
/* L80: */
}
dlacpy_("Full", &m, &n, ©a[1], &lda, &a[1], &
lda);
dlacpy_("Full", &m, &nrhs, ©b[1], &ldb, &b[1],
&ldb);
s_copy(srnamc_1.srnamt, "DGELSD", (ftnlen)6, (
ftnlen)6);
dgelsd_(&m, &n, &nrhs, &a[1], &lda, &b[1], &ldb, &
s[1], &rcond, &crank, &work[1], &lwork, &
iwork[1], &info);
if (info != 0) {
alaerh_(path, "DGELSD", &info, &c__0, " ", &m,
&n, &nrhs, &c_n1, &nb, &itype, &
nfail, &nerrs, nout);
}
/* Test 15: Compute relative error in svd */
if (rank > 0) {
daxpy_(&mnmin, &c_b92, ©s[1], &c__1, &s[1]
, &c__1);
result[14] = dasum_(&mnmin, &s[1], &c__1) /
dasum_(&mnmin, ©s[1], &c__1) / (
eps * (doublereal) mnmin);
} else {
result[14] = 0.;
}
/* Test 16: Compute error in solution */
dlacpy_("Full", &m, &nrhs, ©b[1], &ldb, &work[
1], &ldwork);
dqrt16_("No transpose", &m, &n, &nrhs, ©a[1],
&lda, &b[1], &ldb, &work[1], &ldwork, &
work[m * nrhs + 1], &result[15]);
/* Test 17: Check norm of r'*A */
result[16] = 0.;
if (m > crank) {
result[16] = dqrt17_("No transpose", &c__1, &
m, &n, &nrhs, ©a[1], &lda, &b[1],
&ldb, ©b[1], &ldb, &c__[1], &work[
1], &lwork);
}
/* Test 18: Check if x is in the rowspace of A */
result[17] = 0.;
if (n > crank) {
result[17] = dqrt14_("No transpose", &m, &n, &
nrhs, ©a[1], &lda, &b[1], &ldb, &
work[1], &lwork);
}
/* Print information about the tests that did not
pass the threshold. */
for (k = 7; k <= 18; ++k) {
if (result[k - 1] >= *thresh) {
if (nfail == 0 && nerrs == 0) {
alahd_(nout, path);
}
io___42.ciunit = *nout;
s_wsfe(&io___42);
do_fio(&c__1, (char *)&m, (ftnlen)sizeof(
integer));
do_fio(&c__1, (char *)&n, (ftnlen)sizeof(
integer));
do_fio(&c__1, (char *)&nrhs, (ftnlen)
sizeof(integer));
do_fio(&c__1, (char *)&nb, (ftnlen)sizeof(
integer));
do_fio(&c__1, (char *)&itype, (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 += 12;
/* L100: */
}
L110:
;
}
/* L120: */
}
/* L130: */
}
/* L140: */
}
/* L150: */
}
/* Print a summary of the results. */
alasvm_(path, nout, &nfail, &nrun, &nerrs);
return 0;
/* End of DDRVLS */
} /* ddrvls_ */
/* Subroutine */ int cdrvgb_(logical *dotype, integer *nn, integer *nval,
integer *nrhs, real *thresh, logical *tsterr, complex *a, integer *la,
complex *afb, integer *lafb, complex *asav, complex *b, complex *
bsav, complex *x, complex *xact, real *s, complex *work, real *rwork,
integer *iwork, integer *nout)
{
/* Initialized data */
static integer iseedy[4] = { 1988,1989,1990,1991 };
static char transs[1*3] = "N" "T" "C";
static char facts[1*3] = "F" "N" "E";
static char equeds[1*4] = "N" "R" "C" "B";
/* Format strings */
static char fmt_9999[] = "(\002 *** In CDRVGB, LA=\002,i5,\002 is too sm"
"all for N=\002,i5,\002, KU=\002,i5,\002, KL=\002,i5,/\002 ==> In"
"crease LA to at least \002,i5)";
static char fmt_9998[] = "(\002 *** In CDRVGB, LAFB=\002,i5,\002 is too "
"small for N=\002,i5,\002, KU=\002,i5,\002, KL=\002,i5,/\002 ==> "
"Increase LAFB to at least \002,i5)";
static char fmt_9997[] = "(1x,a6,\002, N=\002,i5,\002, KL=\002,i5,\002, "
"KU=\002,i5,\002, type \002,i1,\002, test(\002,i1,\002)=\002,g12."
"5)";
static char fmt_9995[] = "(1x,a6,\002( '\002,a1,\002','\002,a1,\002',"
"\002,i5,\002,\002,i5,\002,\002,i5,\002,...), EQUED='\002,a1,\002"
"', type \002,i1,\002, test(\002,i1,\002)=\002,g12.5)";
static char fmt_9996[] = "(1x,a6,\002( '\002,a1,\002','\002,a1,\002',"
"\002,i5,\002,\002,i5,\002,\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, i__6, i__7, i__8, i__9, i__10,
i__11[2];
real r__1, r__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);
double c_abs(complex *);
/* Local variables */
static char fact[1];
static integer ioff, mode;
static real amax;
static char path[3];
static integer imat, info;
static char dist[1];
static real rdum[1];
static char type__[1];
static integer nrun, ldafb, i__, j, k, n;
extern /* Subroutine */ int cgbt01_(integer *, integer *, integer *,
integer *, complex *, integer *, complex *, integer *, integer *,
complex *, real *), cgbt02_(char *, integer *, integer *, integer
*, integer *, integer *, complex *, integer *, complex *, integer
*, complex *, integer *, real *), cgbt05_(char *, integer
*, integer *, integer *, integer *, complex *, integer *, complex
*, integer *, complex *, integer *, complex *, integer *, real *,
real *, real *);
static integer ifact;
extern /* Subroutine */ int cget04_(integer *, integer *, complex *,
integer *, complex *, integer *, real *, real *);
static integer nfail, iseed[4], nfact;
extern logical lsame_(char *, char *);
static char equed[1];
static integer nbmin;
static real rcond, roldc;
extern /* Subroutine */ int cgbsv_(integer *, integer *, integer *,
integer *, complex *, integer *, integer *, complex *, integer *,
integer *);
static integer nimat;
static real roldi;
extern doublereal sget06_(real *, real *);
static real anorm;
static integer itran;
static logical equil;
static real roldo;
static char trans[1];
static integer izero, nerrs, i1, i2, k1;
static logical zerot;
static char xtype[1];
extern /* Subroutine */ int clatb4_(char *, integer *, integer *, integer
*, char *, integer *, integer *, real *, integer *, real *, char *
), aladhd_(integer *, char *);
static integer nb;
extern doublereal clangb_(char *, integer *, integer *, integer *,
complex *, integer *, real *);
static integer in, kl;
extern doublereal clange_(char *, integer *, integer *, complex *,
integer *, real *);
extern /* Subroutine */ int claqgb_(integer *, integer *, integer *,
integer *, complex *, integer *, real *, real *, real *, real *,
real *, char *), alaerh_(char *, char *, integer *,
integer *, char *, integer *, integer *, integer *, integer *,
integer *, integer *, integer *, integer *, integer *);
static logical prefac;
static integer ku, nt;
static real colcnd;
extern doublereal clantb_(char *, char *, char *, integer *, integer *,
complex *, integer *, real *);
extern /* Subroutine */ int cgbequ_(integer *, integer *, integer *,
integer *, complex *, integer *, real *, real *, real *, real *,
real *, integer *);
static real rcondc;
extern doublereal slamch_(char *);
static logical nofact;
extern /* Subroutine */ int cgbtrf_(integer *, integer *, integer *,
integer *, complex *, integer *, integer *, integer *);
static integer iequed;
extern /* Subroutine */ int clacpy_(char *, integer *, integer *, complex
*, integer *, complex *, integer *);
static real rcondi;
extern /* Subroutine */ int clarhs_(char *, char *, char *, char *,
integer *, integer *, integer *, integer *, integer *, complex *,
integer *, complex *, integer *, complex *, integer *, integer *,
integer *), claset_(char *,
integer *, integer *, complex *, complex *, complex *, integer *), alasvm_(char *, integer *, integer *, integer *, integer
*);
static real cndnum, anormi, rcondo, ainvnm;
extern /* Subroutine */ int cgbtrs_(char *, integer *, integer *, integer
*, integer *, complex *, integer *, integer *, complex *, integer
*, integer *), clatms_(integer *, integer *, char *,
integer *, char *, real *, integer *, real *, real *, integer *,
integer *, char *, complex *, integer *, complex *, integer *);
static logical trfcon;
static real anormo, rowcnd;
extern /* Subroutine */ int cgbsvx_(char *, char *, integer *, integer *,
integer *, integer *, complex *, integer *, complex *, integer *,
integer *, char *, real *, real *, complex *, integer *, complex *
, integer *, real *, real *, real *, complex *, real *, integer *), xlaenv_(integer *, integer *);
static real anrmpv;
extern /* Subroutine */ int cerrvx_(char *, integer *);
static real result[7], rpvgrw;
static integer lda, ldb, ikl, nkl, iku, nku;
/* Fortran I/O blocks */
static cilist io___26 = { 0, 0, 0, fmt_9999, 0 };
static cilist io___27 = { 0, 0, 0, fmt_9998, 0 };
static cilist io___65 = { 0, 0, 0, fmt_9997, 0 };
static cilist io___73 = { 0, 0, 0, fmt_9995, 0 };
static cilist io___74 = { 0, 0, 0, fmt_9996, 0 };
static cilist io___75 = { 0, 0, 0, fmt_9995, 0 };
static cilist io___76 = { 0, 0, 0, fmt_9996, 0 };
static cilist io___77 = { 0, 0, 0, fmt_9995, 0 };
static cilist io___78 = { 0, 0, 0, fmt_9996, 0 };
static cilist io___79 = { 0, 0, 0, fmt_9995, 0 };
static cilist io___80 = { 0, 0, 0, fmt_9996, 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
=======
CDRVGB tests the driver routines CGBSV 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 column 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.
A (workspace) COMPLEX array, dimension (LA)
LA (input) INTEGER
The length of the array A. LA >= (2*NMAX-1)*NMAX
where NMAX is the largest entry in NVAL.
AFB (workspace) COMPLEX array, dimension (LAFB)
LAFB (input) INTEGER
The length of the array AFB. LAFB >= (3*NMAX-2)*NMAX
where NMAX is the largest entry in NVAL.
ASAV (workspace) COMPLEX array, dimension (LA)
B (workspace) COMPLEX array, dimension (NMAX*NRHS)
BSAV (workspace) COMPLEX array, dimension (NMAX*NRHS)
X (workspace) COMPLEX array, dimension (NMAX*NRHS)
XACT (workspace) COMPLEX array, dimension (NMAX*NRHS)
S (workspace) REAL array, dimension (2*NMAX)
WORK (workspace) COMPLEX array, dimension
(NMAX*max(3,NRHS,NMAX))
RWORK (workspace) REAL array, dimension
(max(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;
--afb;
--a;
--nval;
--dotype;
/* Function Body
Initialize constants and the random number seed. */
s_copy(path, "Complex precision", (ftnlen)1, (ftnlen)17);
s_copy(path + 1, "GB", (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) {
cerrvx_(path, nout);
}
infoc_1.infot = 0;
/* Set the block size and minimum block size for testing. */
nb = 1;
nbmin = 2;
xlaenv_(&c__1, &nb);
xlaenv_(&c__2, &nbmin);
/* Do for each value of N in NVAL */
i__1 = *nn;
for (in = 1; in <= i__1; ++in) {
n = nval[in];
ldb = max(n,1);
*(unsigned char *)xtype = 'N';
/* Set limits on the number of loop iterations.
Computing MAX */
i__2 = 1, i__3 = min(n,4);
nkl = max(i__2,i__3);
if (n == 0) {
nkl = 1;
}
nku = nkl;
nimat = 8;
if (n <= 0) {
nimat = 1;
}
i__2 = nkl;
for (ikl = 1; ikl <= i__2; ++ikl) {
/* Do for KL = 0, N-1, (3N-1)/4, and (N+1)/4. This order makes
it easier to skip redundant values for small values of N. */
if (ikl == 1) {
kl = 0;
} else if (ikl == 2) {
/* Computing MAX */
i__3 = n - 1;
kl = max(i__3,0);
} else if (ikl == 3) {
kl = (n * 3 - 1) / 4;
} else if (ikl == 4) {
kl = (n + 1) / 4;
}
i__3 = nku;
for (iku = 1; iku <= i__3; ++iku) {
/* Do for KU = 0, N-1, (3N-1)/4, and (N+1)/4. This order
makes it easier to skip redundant values for small
values of N. */
if (iku == 1) {
ku = 0;
} else if (iku == 2) {
/* Computing MAX */
i__4 = n - 1;
ku = max(i__4,0);
} else if (iku == 3) {
ku = (n * 3 - 1) / 4;
} else if (iku == 4) {
ku = (n + 1) / 4;
}
/* Check that A and AFB are big enough to generate this
matrix. */
lda = kl + ku + 1;
ldafb = (kl << 1) + ku + 1;
if (lda * n > *la || ldafb * n > *lafb) {
if (nfail == 0 && nerrs == 0) {
aladhd_(nout, path);
}
if (lda * n > *la) {
io___26.ciunit = *nout;
s_wsfe(&io___26);
do_fio(&c__1, (char *)&(*la), (ftnlen)sizeof(integer))
;
do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&kl, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&ku, (ftnlen)sizeof(integer));
i__4 = n * (kl + ku + 1);
do_fio(&c__1, (char *)&i__4, (ftnlen)sizeof(integer));
e_wsfe();
++nerrs;
}
if (ldafb * n > *lafb) {
io___27.ciunit = *nout;
s_wsfe(&io___27);
do_fio(&c__1, (char *)&(*lafb), (ftnlen)sizeof(
integer));
do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&kl, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&ku, (ftnlen)sizeof(integer));
i__4 = n * ((kl << 1) + ku + 1);
do_fio(&c__1, (char *)&i__4, (ftnlen)sizeof(integer));
e_wsfe();
++nerrs;
}
goto L130;
}
i__4 = nimat;
for (imat = 1; imat <= i__4; ++imat) {
/* Do the tests only if DOTYPE( IMAT ) is true. */
if (! dotype[imat]) {
goto L120;
}
/* Skip types 2, 3, or 4 if the matrix is too small. */
zerot = imat >= 2 && imat <= 4;
if (zerot && n < imat - 1) {
goto L120;
}
/* Set up parameters with CLATB4 and generate a
test matrix with CLATMS. */
clatb4_(path, &imat, &n, &n, type__, &kl, &ku, &anorm, &
mode, &cndnum, dist);
rcondc = 1.f / cndnum;
s_copy(srnamc_1.srnamt, "CLATMS", (ftnlen)6, (ftnlen)6);
clatms_(&n, &n, dist, iseed, type__, &rwork[1], &mode, &
cndnum, &anorm, &kl, &ku, "Z", &a[1], &lda, &work[
1], &info);
/* Check the error code from CLATMS. */
if (info != 0) {
alaerh_(path, "CLATMS", &info, &c__0, " ", &n, &n, &
kl, &ku, &c_n1, &imat, &nfail, &nerrs, nout);
goto L120;
}
/* For types 2, 3, and 4, zero one or more columns of
the matrix to test that INFO is returned correctly. */
izero = 0;
if (zerot) {
if (imat == 2) {
izero = 1;
} else if (imat == 3) {
izero = n;
} else {
izero = n / 2 + 1;
}
ioff = (izero - 1) * lda;
if (imat < 4) {
/* Computing MAX */
i__5 = 1, i__6 = ku + 2 - izero;
i1 = max(i__5,i__6);
/* Computing MIN */
i__5 = kl + ku + 1, i__6 = ku + 1 + (n - izero);
i2 = min(i__5,i__6);
i__5 = i2;
for (i__ = i1; i__ <= i__5; ++i__) {
i__6 = ioff + i__;
a[i__6].r = 0.f, a[i__6].i = 0.f;
/* L20: */
}
} else {
i__5 = n;
for (j = izero; j <= i__5; ++j) {
/* Computing MAX */
i__6 = 1, i__7 = ku + 2 - j;
/* Computing MIN */
i__9 = kl + ku + 1, i__10 = ku + 1 + (n - j);
i__8 = min(i__9,i__10);
for (i__ = max(i__6,i__7); i__ <= i__8; ++i__)
{
i__6 = ioff + i__;
a[i__6].r = 0.f, a[i__6].i = 0.f;
/* L30: */
}
ioff += lda;
/* L40: */
}
}
}
/* Save a copy of the matrix A in ASAV. */
i__5 = kl + ku + 1;
clacpy_("Full", &i__5, &n, &a[1], &lda, &asav[1], &lda);
for (iequed = 1; iequed <= 4; ++iequed) {
*(unsigned char *)equed = *(unsigned char *)&equeds[
iequed - 1];
if (iequed == 1) {
nfact = 3;
} else {
nfact = 1;
}
i__5 = nfact;
for (ifact = 1; ifact <= i__5; ++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;
}
rcondo = 0.f;
rcondi = 0.f;
} else if (! nofact) {
/* Compute the condition number for comparison
with the value returned by SGESVX (FACT =
'N' reuses the condition number from the
previous iteration with FACT = 'F'). */
i__8 = kl + ku + 1;
clacpy_("Full", &i__8, &n, &asav[1], &lda, &
afb[kl + 1], &ldafb);
if (equil || iequed > 1) {
/* Compute row and column scale factors to
equilibrate the matrix A. */
cgbequ_(&n, &n, &kl, &ku, &afb[kl + 1], &
ldafb, &s[1], &s[n + 1], &rowcnd,
&colcnd, &amax, &info);
if (info == 0 && n > 0) {
if (lsame_(equed, "R")) {
rowcnd = 0.f;
colcnd = 1.f;
} else if (lsame_(equed, "C")) {
rowcnd = 1.f;
colcnd = 0.f;
} else if (lsame_(equed, "B")) {
rowcnd = 0.f;
colcnd = 0.f;
}
/* Equilibrate the matrix. */
claqgb_(&n, &n, &kl, &ku, &afb[kl + 1]
, &ldafb, &s[1], &s[n + 1], &
rowcnd, &colcnd, &amax, equed);
}
}
/* Save the condition number of the
non-equilibrated system for use in CGET04. */
if (equil) {
roldo = rcondo;
roldi = rcondi;
}
/* Compute the 1-norm and infinity-norm of A. */
anormo = clangb_("1", &n, &kl, &ku, &afb[kl +
1], &ldafb, &rwork[1]);
anormi = clangb_("I", &n, &kl, &ku, &afb[kl +
1], &ldafb, &rwork[1]);
/* Factor the matrix A. */
cgbtrf_(&n, &n, &kl, &ku, &afb[1], &ldafb, &
iwork[1], &info);
/* Form the inverse of A. */
claset_("Full", &n, &n, &c_b48, &c_b49, &work[
1], &ldb);
s_copy(srnamc_1.srnamt, "CGBTRS", (ftnlen)6, (
ftnlen)6);
cgbtrs_("No transpose", &n, &kl, &ku, &n, &
afb[1], &ldafb, &iwork[1], &work[1], &
ldb, &info);
/* Compute the 1-norm condition number of A. */
ainvnm = clange_("1", &n, &n, &work[1], &ldb,
&rwork[1]);
if (anormo <= 0.f || ainvnm <= 0.f) {
rcondo = 1.f;
} else {
rcondo = 1.f / anormo / ainvnm;
}
/* Compute the infinity-norm condition number
of A. */
ainvnm = clange_("I", &n, &n, &work[1], &ldb,
&rwork[1]);
if (anormi <= 0.f || ainvnm <= 0.f) {
rcondi = 1.f;
} else {
rcondi = 1.f / anormi / ainvnm;
}
}
for (itran = 1; itran <= 3; ++itran) {
/* Do for each value of TRANS. */
*(unsigned char *)trans = *(unsigned char *)&
transs[itran - 1];
if (itran == 1) {
rcondc = rcondo;
} else {
rcondc = rcondi;
}
/* Restore the matrix A. */
i__8 = kl + ku + 1;
clacpy_("Full", &i__8, &n, &asav[1], &lda, &a[
1], &lda);
/* Form an exact solution and set the right hand
side. */
s_copy(srnamc_1.srnamt, "CLARHS", (ftnlen)6, (
ftnlen)6);
clarhs_(path, xtype, "Full", trans, &n, &n, &
kl, &ku, nrhs, &a[1], &lda, &xact[1],
&ldb, &b[1], &ldb, iseed, &info);
*(unsigned char *)xtype = 'C';
clacpy_("Full", &n, nrhs, &b[1], &ldb, &bsav[
1], &ldb);
if (nofact && itran == 1) {
/* --- Test CGBSV ---
Compute the LU factorization of the matrix
and solve the system. */
i__8 = kl + ku + 1;
clacpy_("Full", &i__8, &n, &a[1], &lda, &
afb[kl + 1], &ldafb);
clacpy_("Full", &n, nrhs, &b[1], &ldb, &x[
1], &ldb);
s_copy(srnamc_1.srnamt, "CGBSV ", (ftnlen)
6, (ftnlen)6);
cgbsv_(&n, &kl, &ku, nrhs, &afb[1], &
ldafb, &iwork[1], &x[1], &ldb, &
info);
/* Check error code from CGBSV . */
if (info != izero) {
alaerh_(path, "CGBSV ", &info, &izero,
" ", &n, &n, &kl, &ku, nrhs,
&imat, &nfail, &nerrs, nout);
}
/* Reconstruct matrix from factors and
compute residual. */
cgbt01_(&n, &n, &kl, &ku, &a[1], &lda, &
afb[1], &ldafb, &iwork[1], &work[
1], result);
nt = 1;
if (izero == 0) {
/* Compute residual of the computed
solution. */
clacpy_("Full", &n, nrhs, &b[1], &ldb,
&work[1], &ldb);
cgbt02_("No transpose", &n, &n, &kl, &
ku, nrhs, &a[1], &lda, &x[1],
&ldb, &work[1], &ldb, &result[
1]);
/* Check solution from generated exact
solution. */
cget04_(&n, nrhs, &x[1], &ldb, &xact[
1], &ldb, &rcondc, &result[2])
;
nt = 3;
}
/* Print information about the tests that did
not pass the threshold. */
i__8 = nt;
for (k = 1; k <= i__8; ++k) {
if (result[k - 1] >= *thresh) {
if (nfail == 0 && nerrs == 0) {
aladhd_(nout, path);
}
io___65.ciunit = *nout;
s_wsfe(&io___65);
do_fio(&c__1, "CGBSV ", (ftnlen)6)
;
do_fio(&c__1, (char *)&n, (ftnlen)
sizeof(integer));
do_fio(&c__1, (char *)&kl, (
ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&ku, (
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;
}
/* L50: */
}
nrun += nt;
}
/* --- Test CGBSVX --- */
if (! prefac) {
i__8 = (kl << 1) + ku + 1;
claset_("Full", &i__8, &n, &c_b48, &c_b48,
&afb[1], &ldafb);
}
claset_("Full", &n, nrhs, &c_b48, &c_b48, &x[
1], &ldb);
if (iequed > 1 && n > 0) {
/* Equilibrate the matrix if FACT = 'F' and
EQUED = 'R', 'C', or 'B'. */
claqgb_(&n, &n, &kl, &ku, &a[1], &lda, &s[
1], &s[n + 1], &rowcnd, &colcnd, &
amax, equed);
}
/* Solve the system and compute the condition
number and error bounds using CGBSVX. */
s_copy(srnamc_1.srnamt, "CGBSVX", (ftnlen)6, (
ftnlen)6);
cgbsvx_(fact, trans, &n, &kl, &ku, nrhs, &a[1]
, &lda, &afb[1], &ldafb, &iwork[1],
equed, &s[1], &s[ldb + 1], &b[1], &
ldb, &x[1], &ldb, &rcond, &rwork[1], &
rwork[*nrhs + 1], &work[1], &rwork[(*
nrhs << 1) + 1], &info);
/* Check the error code from CGBSVX. */
if (info != izero) {
/* Writing concatenation */
i__11[0] = 1, a__1[0] = fact;
i__11[1] = 1, a__1[1] = trans;
s_cat(ch__1, a__1, i__11, &c__2, (ftnlen)
2);
alaerh_(path, "CGBSVX", &info, &izero,
ch__1, &n, &n, &kl, &ku, nrhs, &
imat, &nfail, &nerrs, nout);
}
/* Compare RWORK(2*NRHS+1) from CGBSVX with the
computed reciprocal pivot growth RPVGRW */
if (info != 0) {
anrmpv = 0.f;
i__8 = info;
for (j = 1; j <= i__8; ++j) {
/* Computing MAX */
i__6 = ku + 2 - j;
/* Computing MIN */
i__9 = n + ku + 1 - j, i__10 = kl +
ku + 1;
i__7 = min(i__9,i__10);
for (i__ = max(i__6,1); i__ <= i__7;
++i__) {
/* Computing MAX */
r__1 = anrmpv, r__2 = c_abs(&a[
i__ + (j - 1) * lda]);
anrmpv = dmax(r__1,r__2);
/* L60: */
}
/* L70: */
}
/* Computing MIN */
i__7 = info - 1, i__6 = kl + ku;
i__8 = min(i__7,i__6);
/* Computing MAX */
i__9 = 1, i__10 = kl + ku + 2 - info;
rpvgrw = clantb_("M", "U", "N", &info, &
i__8, &afb[max(i__9,i__10)], &
ldafb, rdum);
if (rpvgrw == 0.f) {
rpvgrw = 1.f;
} else {
rpvgrw = anrmpv / rpvgrw;
}
} else {
i__8 = kl + ku;
rpvgrw = clantb_("M", "U", "N", &n, &i__8,
&afb[1], &ldafb, rdum);
if (rpvgrw == 0.f) {
rpvgrw = 1.f;
} else {
rpvgrw = clangb_("M", &n, &kl, &ku, &
a[1], &lda, rdum) /
rpvgrw;
}
}
/* Computing MAX */
r__2 = rwork[(*nrhs << 1) + 1];
result[6] = (r__1 = rpvgrw - rwork[(*nrhs <<
1) + 1], dabs(r__1)) / dmax(r__2,
rpvgrw) / slamch_("E");
if (! prefac) {
/* Reconstruct matrix from factors and
compute residual. */
cgbt01_(&n, &n, &kl, &ku, &a[1], &lda, &
afb[1], &ldafb, &iwork[1], &work[
1], result);
k1 = 1;
} else {
k1 = 2;
}
if (info == 0) {
trfcon = FALSE_;
/* Compute residual of the computed solution. */
clacpy_("Full", &n, nrhs, &bsav[1], &ldb,
&work[1], &ldb);
cgbt02_(trans, &n, &n, &kl, &ku, nrhs, &
asav[1], &lda, &x[1], &ldb, &work[
1], &ldb, &result[1]);
/* Check solution from generated exact
solution. */
if (nofact || prefac && lsame_(equed,
"N")) {
cget04_(&n, nrhs, &x[1], &ldb, &xact[
1], &ldb, &rcondc, &result[2])
;
} else {
if (itran == 1) {
roldc = roldo;
} else {
roldc = roldi;
}
cget04_(&n, nrhs, &x[1], &ldb, &xact[
1], &ldb, &roldc, &result[2]);
}
/* Check the error bounds from iterative
refinement. */
cgbt05_(trans, &n, &kl, &ku, nrhs, &asav[
1], &lda, &bsav[1], &ldb, &x[1], &
ldb, &xact[1], &ldb, &rwork[1], &
rwork[*nrhs + 1], &result[3]);
} else {
trfcon = TRUE_;
}
/* Compare RCOND from CGBSVX with the computed
value in RCONDC. */
result[5] = sget06_(&rcond, &rcondc);
/* Print information about the tests that did
not pass the threshold. */
if (! trfcon) {
for (k = k1; k <= 7; ++k) {
if (result[k - 1] >= *thresh) {
if (nfail == 0 && nerrs == 0) {
aladhd_(nout, path);
}
if (prefac) {
io___73.ciunit = *nout;
s_wsfe(&io___73);
do_fio(&c__1, "CGBSVX", (ftnlen)6);
do_fio(&c__1, fact, (ftnlen)1);
do_fio(&c__1, trans, (ftnlen)1);
do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&kl, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&ku, (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___74.ciunit = *nout;
s_wsfe(&io___74);
do_fio(&c__1, "CGBSVX", (ftnlen)6);
do_fio(&c__1, fact, (ftnlen)1);
do_fio(&c__1, trans, (ftnlen)1);
do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&kl, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&ku, (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;
} else {
if (result[0] >= *thresh && ! prefac) {
if (nfail == 0 && nerrs == 0) {
aladhd_(nout, path);
}
if (prefac) {
io___75.ciunit = *nout;
s_wsfe(&io___75);
do_fio(&c__1, "CGBSVX", (ftnlen)6)
;
do_fio(&c__1, fact, (ftnlen)1);
do_fio(&c__1, trans, (ftnlen)1);
do_fio(&c__1, (char *)&n, (ftnlen)
sizeof(integer));
do_fio(&c__1, (char *)&kl, (
ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&ku, (
ftnlen)sizeof(integer));
do_fio(&c__1, equed, (ftnlen)1);
do_fio(&c__1, (char *)&imat, (
ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&c__1, (
ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&result[0],
(ftnlen)sizeof(real));
e_wsfe();
} else {
io___76.ciunit = *nout;
s_wsfe(&io___76);
do_fio(&c__1, "CGBSVX", (ftnlen)6)
;
do_fio(&c__1, fact, (ftnlen)1);
do_fio(&c__1, trans, (ftnlen)1);
do_fio(&c__1, (char *)&n, (ftnlen)
sizeof(integer));
do_fio(&c__1, (char *)&kl, (
ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&ku, (
ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&imat, (
ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&c__1, (
ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&result[0],
(ftnlen)sizeof(real));
e_wsfe();
}
++nfail;
++nrun;
}
if (result[5] >= *thresh) {
if (nfail == 0 && nerrs == 0) {
aladhd_(nout, path);
}
if (prefac) {
io___77.ciunit = *nout;
s_wsfe(&io___77);
do_fio(&c__1, "CGBSVX", (ftnlen)6)
;
do_fio(&c__1, fact, (ftnlen)1);
do_fio(&c__1, trans, (ftnlen)1);
do_fio(&c__1, (char *)&n, (ftnlen)
sizeof(integer));
do_fio(&c__1, (char *)&kl, (
ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&ku, (
ftnlen)sizeof(integer));
do_fio(&c__1, equed, (ftnlen)1);
do_fio(&c__1, (char *)&imat, (
ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&c__6, (
ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&result[5],
(ftnlen)sizeof(real));
e_wsfe();
} else {
io___78.ciunit = *nout;
s_wsfe(&io___78);
do_fio(&c__1, "CGBSVX", (ftnlen)6)
;
do_fio(&c__1, fact, (ftnlen)1);
do_fio(&c__1, trans, (ftnlen)1);
do_fio(&c__1, (char *)&n, (ftnlen)
sizeof(integer));
do_fio(&c__1, (char *)&kl, (
ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&ku, (
ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&imat, (
ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&c__6, (
ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&result[5],
(ftnlen)sizeof(real));
e_wsfe();
}
++nfail;
++nrun;
}
if (result[6] >= *thresh) {
if (nfail == 0 && nerrs == 0) {
aladhd_(nout, path);
}
if (prefac) {
io___79.ciunit = *nout;
s_wsfe(&io___79);
do_fio(&c__1, "CGBSVX", (ftnlen)6)
;
do_fio(&c__1, fact, (ftnlen)1);
do_fio(&c__1, trans, (ftnlen)1);
do_fio(&c__1, (char *)&n, (ftnlen)
sizeof(integer));
do_fio(&c__1, (char *)&kl, (
ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&ku, (
ftnlen)sizeof(integer));
do_fio(&c__1, equed, (ftnlen)1);
do_fio(&c__1, (char *)&imat, (
ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&c__7, (
ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&result[6],
(ftnlen)sizeof(real));
e_wsfe();
} else {
io___80.ciunit = *nout;
s_wsfe(&io___80);
do_fio(&c__1, "CGBSVX", (ftnlen)6)
;
do_fio(&c__1, fact, (ftnlen)1);
do_fio(&c__1, trans, (ftnlen)1);
do_fio(&c__1, (char *)&n, (ftnlen)
sizeof(integer));
do_fio(&c__1, (char *)&kl, (
ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&ku, (
ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&imat, (
ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&c__7, (
ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&result[6],
(ftnlen)sizeof(real));
e_wsfe();
}
++nfail;
++nrun;
}
}
/* L90: */
}
L100:
;
}
/* L110: */
}
L120:
;
}
L130:
;
}
/* L140: */
}
/* L150: */
}
/* Print a summary of the results. */
alasvm_(path, nout, &nfail, &nrun, &nerrs);
return 0;
/* End of CDRVGB */
} /* cdrvgb_ */
/* Subroutine */ int schklq_(logical *dotype, integer *nm, integer *mval,
integer *nn, integer *nval, integer *nnb, integer *nbval, integer *
nxval, integer *nrhs, real *thresh, logical *tsterr, integer *nmax,
real *a, real *af, real *aq, real *al, real *ac, real *b, real *x,
real *xact, real *tau, real *work, real *rwork, integer *iwork,
integer *nout)
{
/* Initialized data */
static integer iseedy[4] = { 1988,1989,1990,1991 };
/* Format strings */
static char fmt_9999[] = "(\002 M=\002,i5,\002, N=\002,i5,\002, K=\002,i"
"5,\002, NB=\002,i4,\002, NX=\002,i5,\002, type \002,i2,\002, tes"
"t(\002,i2,\002)=\002,g12.5)";
/* System generated locals */
integer i__1, i__2, i__3, i__4;
/* Local variables */
integer i__, k, m, n, nb, ik, im, in, kl, nk, ku, nt, nx, lda, inb, mode,
imat, info;
char path[3];
integer kval[4];
char dist[1], type__[1];
integer nrun;
integer nfail, iseed[4];
real anorm;
integer minmn;
integer nerrs, lwork;
real cndnum;
real result[8];
/* Fortran I/O blocks */
static cilist io___33 = { 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 */
/* ======= */
/* SCHKLQ tests SGELQF, SORGLQ and SORMLQ. */
/* 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. */
/* NM (input) INTEGER */
/* The number of values of M contained in the vector MVAL. */
/* MVAL (input) INTEGER array, dimension (NM) */
/* The values of the matrix row dimension M. */
/* 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 column dimension N. */
/* NNB (input) INTEGER */
/* The number of values of NB and NX contained in the */
/* vectors NBVAL and NXVAL. The blocking parameters are used */
/* in pairs (NB,NX). */
/* NBVAL (input) INTEGER array, dimension (NNB) */
/* The values of the blocksize NB. */
/* NXVAL (input) INTEGER array, dimension (NNB) */
/* The values of the crossover point NX. */
/* 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 M or N, used in dimensioning */
/* the work arrays. */
/* A (workspace) REAL array, dimension (NMAX*NMAX) */
/* AF (workspace) REAL array, dimension (NMAX*NMAX) */
/* AQ (workspace) REAL array, dimension (NMAX*NMAX) */
/* AL (workspace) REAL array, dimension (NMAX*NMAX) */
/* AC (workspace) REAL array, dimension (NMAX*NMAX) */
/* B (workspace) REAL array, dimension (NMAX*NRHS) */
/* X (workspace) REAL array, dimension (NMAX*NRHS) */
/* XACT (workspace) REAL array, dimension (NMAX*NRHS) */
/* TAU (workspace) REAL array, dimension (NMAX) */
/* WORK (workspace) REAL array, dimension (NMAX*NMAX) */
/* RWORK (workspace) REAL array, dimension (NMAX) */
/* IWORK (workspace) INTEGER array, dimension (NMAX) */
/* NOUT (input) INTEGER */
/* The unit number for output. */
/* ===================================================================== */
/* .. Parameters .. */
/* .. */
/* .. Local Scalars .. */
/* .. */
/* .. Local Arrays .. */
/* .. */
/* .. External Functions .. */
/* .. */
/* .. External Subroutines .. */
/* .. */
/* .. Intrinsic Functions .. */
/* .. */
/* .. Scalars in Common .. */
/* .. */
/* .. Common blocks .. */
/* .. */
/* .. Data statements .. */
/* Parameter adjustments */
--iwork;
--rwork;
--work;
--tau;
--xact;
--x;
--b;
--ac;
--al;
--aq;
--af;
--a;
--nxval;
--nbval;
--nval;
--mval;
--dotype;
/* Function Body */
/* .. */
/* .. Executable Statements .. */
/* Initialize constants and the random number seed. */
s_copy(path, "Single precision", (ftnlen)1, (ftnlen)16);
s_copy(path + 1, "LQ", (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) {
serrlq_(path, nout);
}
infoc_1.infot = 0;
xlaenv_(&c__2, &c__2);
lda = *nmax;
lwork = *nmax * max(*nmax,*nrhs);
/* Do for each value of M in MVAL. */
i__1 = *nm;
for (im = 1; im <= i__1; ++im) {
m = mval[im];
/* Do for each value of N in NVAL. */
i__2 = *nn;
for (in = 1; in <= i__2; ++in) {
n = nval[in];
minmn = min(m,n);
for (imat = 1; imat <= 8; ++imat) {
/* Do the tests only if DOTYPE( IMAT ) is true. */
if (! dotype[imat]) {
goto L50;
}
/* Set up parameters with SLATB4 and generate a test matrix */
/* with SLATMS. */
slatb4_(path, &imat, &m, &n, type__, &kl, &ku, &anorm, &mode,
&cndnum, dist);
s_copy(srnamc_1.srnamt, "SLATMS", (ftnlen)32, (ftnlen)6);
slatms_(&m, &n, dist, iseed, type__, &rwork[1], &mode, &
cndnum, &anorm, &kl, &ku, "No packing", &a[1], &lda, &
work[1], &info);
/* Check error code from SLATMS. */
if (info != 0) {
alaerh_(path, "SLATMS", &info, &c__0, " ", &m, &n, &c_n1,
&c_n1, &c_n1, &imat, &nfail, &nerrs, nout);
goto L50;
}
/* Set some values for K: the first value must be MINMN, */
/* corresponding to the call of SLQT01; other values are */
/* used in the calls of SLQT02, and must not exceed MINMN. */
kval[0] = minmn;
kval[1] = 0;
kval[2] = 1;
kval[3] = minmn / 2;
if (minmn == 0) {
nk = 1;
} else if (minmn == 1) {
nk = 2;
} else if (minmn <= 3) {
nk = 3;
} else {
nk = 4;
}
/* Do for each value of K in KVAL */
i__3 = nk;
for (ik = 1; ik <= i__3; ++ik) {
k = kval[ik - 1];
/* Do for each pair of values (NB,NX) in NBVAL and NXVAL. */
i__4 = *nnb;
for (inb = 1; inb <= i__4; ++inb) {
nb = nbval[inb];
xlaenv_(&c__1, &nb);
nx = nxval[inb];
xlaenv_(&c__3, &nx);
for (i__ = 1; i__ <= 8; ++i__) {
result[i__ - 1] = 0.f;
}
nt = 2;
if (ik == 1) {
/* Test SGELQF */
slqt01_(&m, &n, &a[1], &af[1], &aq[1], &al[1], &
lda, &tau[1], &work[1], &lwork, &rwork[1],
result);
if (! sgennd_(&m, &n, &af[1], &lda)) {
result[7] = *thresh * 2;
}
++nt;
} else if (m <= n) {
/* Test SORGLQ, using factorization */
/* returned by SLQT01 */
slqt02_(&m, &n, &k, &a[1], &af[1], &aq[1], &al[1],
&lda, &tau[1], &work[1], &lwork, &rwork[
1], result);
}
if (m >= k) {
/* Test SORMLQ, using factorization returned */
/* by SLQT01 */
slqt03_(&m, &n, &k, &af[1], &ac[1], &al[1], &aq[1]
, &lda, &tau[1], &work[1], &lwork, &rwork[
1], &result[2]);
nt += 4;
/* If M>=N and K=N, call SGELQS to solve a system */
/* with NRHS right hand sides and compute the */
/* residual. */
if (k == m && inb == 1) {
/* Generate a solution and set the right */
/* hand side. */
s_copy(srnamc_1.srnamt, "SLARHS", (ftnlen)32,
(ftnlen)6);
slarhs_(path, "New", "Full", "No transpose", &
m, &n, &c__0, &c__0, nrhs, &a[1], &
lda, &xact[1], &lda, &b[1], &lda,
iseed, &info);
slacpy_("Full", &m, nrhs, &b[1], &lda, &x[1],
&lda);
s_copy(srnamc_1.srnamt, "SGELQS", (ftnlen)32,
(ftnlen)6);
sgelqs_(&m, &n, nrhs, &af[1], &lda, &tau[1], &
x[1], &lda, &work[1], &lwork, &info);
/* Check error code from SGELQS. */
if (info != 0) {
alaerh_(path, "SGELQS", &info, &c__0,
" ", &m, &n, nrhs, &c_n1, &nb, &
imat, &nfail, &nerrs, nout);
}
sget02_("No transpose", &m, &n, nrhs, &a[1], &
lda, &x[1], &lda, &b[1], &lda, &rwork[
1], &result[6]);
++nt;
}
}
/* Print information about the tests that did not */
/* pass the threshold. */
for (i__ = 1; i__ <= 8; ++i__) {
if (result[i__ - 1] >= *thresh) {
if (nfail == 0 && nerrs == 0) {
alahd_(nout, path);
}
io___33.ciunit = *nout;
s_wsfe(&io___33);
do_fio(&c__1, (char *)&m, (ftnlen)sizeof(
integer));
do_fio(&c__1, (char *)&n, (ftnlen)sizeof(
integer));
do_fio(&c__1, (char *)&k, (ftnlen)sizeof(
integer));
do_fio(&c__1, (char *)&nb, (ftnlen)sizeof(
integer));
do_fio(&c__1, (char *)&nx, (ftnlen)sizeof(
integer));
do_fio(&c__1, (char *)&imat, (ftnlen)sizeof(
integer));
do_fio(&c__1, (char *)&i__, (ftnlen)sizeof(
integer));
do_fio(&c__1, (char *)&result[i__ - 1], (
ftnlen)sizeof(real));
e_wsfe();
++nfail;
}
/* L20: */
}
nrun += nt;
/* L30: */
}
/* L40: */
}
L50:
;
}
/* L60: */
}
/* L70: */
}
/* Print a summary of the results. */
alasum_(path, nout, &nfail, &nrun, &nerrs);
return 0;
/* End of SCHKLQ */
} /* schklq_ */
/* Subroutine */ int cchkpo_(logical *dotype, integer *nn, integer *nval,
integer *nnb, integer *nbval, integer *nns, integer *nsval, real *
thresh, logical *tsterr, integer *nmax, complex *a, complex *afac,
complex *ainv, complex *b, complex *x, complex *xact, complex *work,
real *rwork, integer *nout)
{
/* Initialized data */
static integer iseedy[4] = { 1988,1989,1990,1991 };
static char uplos[1*2] = "U" "L";
/* Format strings */
static char fmt_9999[] = "(\002 UPLO = '\002,a1,\002', N =\002,i5,\002, "
"NB =\002,i4,\002, type \002,i2,\002, test \002,i2,\002, ratio "
"=\002,g12.5)";
static char fmt_9998[] = "(\002 UPLO = '\002,a1,\002', N =\002,i5,\002, "
"NRHS=\002,i3,\002, type \002,i2,\002, test(\002,i2,\002) =\002,g"
"12.5)";
static char fmt_9997[] = "(\002 UPLO = '\002,a1,\002', N =\002,i5,\002"
",\002,10x,\002 type \002,i2,\002, test(\002,i2,\002) =\002,g12.5)"
;
/* System generated locals */
integer i__1, i__2, i__3, i__4;
/* Local variables */
integer i__, k, n, nb, in, kl, ku, lda, inb, ioff, mode, imat, info;
char path[3], dist[1];
integer irhs, nrhs;
char uplo[1], type__[1];
integer nrun;
integer nfail, iseed[4];
real rcond;
integer nimat;
real anorm;
integer iuplo, izero, nerrs;
logical zerot;
char xtype[1];
real rcondc;
real cndnum;
real result[8];
/* Fortran I/O blocks */
static cilist io___33 = { 0, 0, 0, fmt_9999, 0 };
static cilist io___36 = { 0, 0, 0, fmt_9998, 0 };
static cilist io___38 = { 0, 0, 0, fmt_9997, 0 };
/* -- LAPACK test routine (version 3.1) -- */
/* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */
/* November 2006 */
/* .. Scalar Arguments .. */
/* .. */
/* .. Array Arguments .. */
/* .. */
/* Purpose */
/* ======= */
/* CCHKPO tests CPOTRF, -TRI, -TRS, -RFS, and -CON */
/* Arguments */
/* ========= */
/* DOTYPE (input) LOGICAL array, dimension (NTYPES) */
/* The matrix types to be used for testing. Matrices of type j */
/* (for 1 <= j <= NTYPES) are used for testing if DOTYPE(j) = */
/* .TRUE.; if DOTYPE(j) = .FALSE., then type j is not used. */
/* NN (input) INTEGER */
/* The number of values of N contained in the vector NVAL. */
/* NVAL (input) INTEGER array, dimension (NN) */
/* The values of the matrix dimension N. */
/* NNB (input) INTEGER */
/* The number of values of NB contained in the vector NBVAL. */
/* NBVAL (input) INTEGER array, dimension (NBVAL) */
/* The values of the blocksize NB. */
/* NNS (input) INTEGER */
/* The number of values of NRHS contained in the vector NSVAL. */
/* NSVAL (input) INTEGER array, dimension (NNS) */
/* The values of the number of right hand sides NRHS. */
/* THRESH (input) 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) COMPLEX array, dimension (NMAX*NMAX) */
/* AFAC (workspace) COMPLEX array, dimension (NMAX*NMAX) */
/* AINV (workspace) COMPLEX array, dimension (NMAX*NMAX) */
/* B (workspace) COMPLEX array, dimension (NMAX*NSMAX) */
/* where NSMAX is the largest entry in NSVAL. */
/* X (workspace) COMPLEX array, dimension (NMAX*NSMAX) */
/* XACT (workspace) COMPLEX array, dimension (NMAX*NSMAX) */
/* WORK (workspace) COMPLEX array, dimension */
/* (NMAX*max(3,NSMAX)) */
/* RWORK (workspace) REAL array, dimension */
/* (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;
--nbval;
--nval;
--dotype;
/* Function Body */
/* .. */
/* .. Executable Statements .. */
/* Initialize constants and the random number seed. */
s_copy(path, "Complex precision", (ftnlen)1, (ftnlen)17);
s_copy(path + 1, "PO", (ftnlen)2, (ftnlen)2);
nrun = 0;
nfail = 0;
nerrs = 0;
for (i__ = 1; i__ <= 4; ++i__) {
iseed[i__ - 1] = iseedy[i__ - 1];
/* L10: */
}
/* Test the error exits */
if (*tsterr) {
cerrpo_(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;
}
izero = 0;
i__2 = nimat;
for (imat = 1; imat <= i__2; ++imat) {
/* Do the tests only if DOTYPE( IMAT ) is true. */
if (! dotype[imat]) {
goto L110;
}
/* Skip types 3, 4, or 5 if the matrix size is too small. */
zerot = imat >= 3 && imat <= 5;
if (zerot && n < imat - 2) {
goto L110;
}
/* Do first for UPLO = 'U', then for UPLO = 'L' */
for (iuplo = 1; iuplo <= 2; ++iuplo) {
*(unsigned char *)uplo = *(unsigned char *)&uplos[iuplo - 1];
/* Set up parameters with CLATB4 and generate a test matrix */
/* with CLATMS. */
clatb4_(path, &imat, &n, &n, type__, &kl, &ku, &anorm, &mode,
&cndnum, dist);
s_copy(srnamc_1.srnamt, "CLATMS", (ftnlen)32, (ftnlen)6);
clatms_(&n, &n, dist, iseed, type__, &rwork[1], &mode, &
cndnum, &anorm, &kl, &ku, uplo, &a[1], &lda, &work[1],
&info);
/* Check error code from CLATMS. */
if (info != 0) {
alaerh_(path, "CLATMS", &info, &c__0, uplo, &n, &n, &c_n1,
&c_n1, &c_n1, &imat, &nfail, &nerrs, nout);
goto L100;
}
/* For types 3-5, zero one row and column of the matrix to */
/* test that INFO is returned correctly. */
if (zerot) {
if (imat == 3) {
izero = 1;
} else if (imat == 4) {
izero = n;
} else {
izero = n / 2 + 1;
}
ioff = (izero - 1) * lda;
/* Set row and column IZERO of A to 0. */
if (iuplo == 1) {
i__3 = izero - 1;
for (i__ = 1; i__ <= i__3; ++i__) {
i__4 = ioff + i__;
a[i__4].r = 0.f, a[i__4].i = 0.f;
/* L20: */
}
ioff += izero;
i__3 = n;
for (i__ = izero; i__ <= i__3; ++i__) {
i__4 = ioff;
a[i__4].r = 0.f, a[i__4].i = 0.f;
ioff += lda;
/* L30: */
}
} else {
ioff = izero;
i__3 = izero - 1;
for (i__ = 1; i__ <= i__3; ++i__) {
i__4 = ioff;
a[i__4].r = 0.f, a[i__4].i = 0.f;
ioff += lda;
/* L40: */
}
ioff -= izero;
i__3 = n;
for (i__ = izero; i__ <= i__3; ++i__) {
i__4 = ioff + i__;
a[i__4].r = 0.f, a[i__4].i = 0.f;
/* L50: */
}
}
} else {
izero = 0;
}
/* Set the imaginary part of the diagonals. */
i__3 = lda + 1;
claipd_(&n, &a[1], &i__3, &c__0);
/* Do for each value of NB in NBVAL */
i__3 = *nnb;
for (inb = 1; inb <= i__3; ++inb) {
nb = nbval[inb];
xlaenv_(&c__1, &nb);
/* Compute the L*L' or U'*U factorization of the matrix. */
clacpy_(uplo, &n, &n, &a[1], &lda, &afac[1], &lda);
s_copy(srnamc_1.srnamt, "CPOTRF", (ftnlen)32, (ftnlen)6);
cpotrf_(uplo, &n, &afac[1], &lda, &info);
/* Check error code from CPOTRF. */
if (info != izero) {
alaerh_(path, "CPOTRF", &info, &izero, uplo, &n, &n, &
c_n1, &c_n1, &nb, &imat, &nfail, &nerrs, nout);
goto L90;
}
/* Skip the tests if INFO is not 0. */
if (info != 0) {
goto L90;
}
/* + TEST 1 */
/* Reconstruct matrix from factors and compute residual. */
clacpy_(uplo, &n, &n, &afac[1], &lda, &ainv[1], &lda);
cpot01_(uplo, &n, &a[1], &lda, &ainv[1], &lda, &rwork[1],
result);
/* + TEST 2 */
/* Form the inverse and compute the residual. */
clacpy_(uplo, &n, &n, &afac[1], &lda, &ainv[1], &lda);
s_copy(srnamc_1.srnamt, "CPOTRI", (ftnlen)32, (ftnlen)6);
cpotri_(uplo, &n, &ainv[1], &lda, &info);
/* Check error code from CPOTRI. */
if (info != 0) {
alaerh_(path, "CPOTRI", &info, &c__0, uplo, &n, &n, &
c_n1, &c_n1, &c_n1, &imat, &nfail, &nerrs,
nout);
}
cpot03_(uplo, &n, &a[1], &lda, &ainv[1], &lda, &work[1], &
lda, &rwork[1], &rcondc, &result[1]);
/* Print information about the tests that did not pass */
/* the threshold. */
for (k = 1; k <= 2; ++k) {
if (result[k - 1] >= *thresh) {
if (nfail == 0 && nerrs == 0) {
alahd_(nout, path);
}
io___33.ciunit = *nout;
s_wsfe(&io___33);
do_fio(&c__1, uplo, (ftnlen)1);
do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer))
;
do_fio(&c__1, (char *)&nb, (ftnlen)sizeof(integer)
);
do_fio(&c__1, (char *)&imat, (ftnlen)sizeof(
integer));
do_fio(&c__1, (char *)&k, (ftnlen)sizeof(integer))
;
do_fio(&c__1, (char *)&result[k - 1], (ftnlen)
sizeof(real));
e_wsfe();
++nfail;
}
/* L60: */
}
nrun += 2;
/* Skip the rest of the tests unless this is the first */
/* blocksize. */
if (inb != 1) {
goto L90;
}
i__4 = *nns;
for (irhs = 1; irhs <= i__4; ++irhs) {
nrhs = nsval[irhs];
/* + TEST 3 */
/* Solve and compute residual for A * X = B . */
s_copy(srnamc_1.srnamt, "CLARHS", (ftnlen)32, (ftnlen)
6);
clarhs_(path, xtype, uplo, " ", &n, &n, &kl, &ku, &
nrhs, &a[1], &lda, &xact[1], &lda, &b[1], &
lda, iseed, &info);
clacpy_("Full", &n, &nrhs, &b[1], &lda, &x[1], &lda);
s_copy(srnamc_1.srnamt, "CPOTRS", (ftnlen)32, (ftnlen)
6);
cpotrs_(uplo, &n, &nrhs, &afac[1], &lda, &x[1], &lda,
&info);
/* Check error code from CPOTRS. */
if (info != 0) {
alaerh_(path, "CPOTRS", &info, &c__0, uplo, &n, &
n, &c_n1, &c_n1, &nrhs, &imat, &nfail, &
nerrs, nout);
}
clacpy_("Full", &n, &nrhs, &b[1], &lda, &work[1], &
lda);
cpot02_(uplo, &n, &nrhs, &a[1], &lda, &x[1], &lda, &
work[1], &lda, &rwork[1], &result[2]);
/* + TEST 4 */
/* Check solution from generated exact solution. */
cget04_(&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, "CPORFS", (ftnlen)32, (ftnlen)
6);
cporfs_(uplo, &n, &nrhs, &a[1], &lda, &afac[1], &lda,
&b[1], &lda, &x[1], &lda, &rwork[1], &rwork[
nrhs + 1], &work[1], &rwork[(nrhs << 1) + 1],
&info);
/* Check error code from CPORFS. */
if (info != 0) {
alaerh_(path, "CPORFS", &info, &c__0, uplo, &n, &
n, &c_n1, &c_n1, &nrhs, &imat, &nfail, &
nerrs, nout);
}
cget04_(&n, &nrhs, &x[1], &lda, &xact[1], &lda, &
rcondc, &result[4]);
cpot05_(uplo, &n, &nrhs, &a[1], &lda, &b[1], &lda, &x[
1], &lda, &xact[1], &lda, &rwork[1], &rwork[
nrhs + 1], &result[5]);
/* Print information about the tests that did not pass */
/* the threshold. */
for (k = 3; k <= 7; ++k) {
if (result[k - 1] >= *thresh) {
if (nfail == 0 && nerrs == 0) {
alahd_(nout, path);
}
io___36.ciunit = *nout;
s_wsfe(&io___36);
do_fio(&c__1, uplo, (ftnlen)1);
do_fio(&c__1, (char *)&n, (ftnlen)sizeof(
integer));
do_fio(&c__1, (char *)&nrhs, (ftnlen)sizeof(
integer));
do_fio(&c__1, (char *)&imat, (ftnlen)sizeof(
integer));
do_fio(&c__1, (char *)&k, (ftnlen)sizeof(
integer));
do_fio(&c__1, (char *)&result[k - 1], (ftnlen)
sizeof(real));
e_wsfe();
++nfail;
}
/* L70: */
}
nrun += 5;
/* L80: */
}
/* + TEST 8 */
/* Get an estimate of RCOND = 1/CNDNUM. */
anorm = clanhe_("1", uplo, &n, &a[1], &lda, &rwork[1]);
s_copy(srnamc_1.srnamt, "CPOCON", (ftnlen)32, (ftnlen)6);
cpocon_(uplo, &n, &afac[1], &lda, &anorm, &rcond, &work[1]
, &rwork[1], &info);
/* Check error code from CPOCON. */
if (info != 0) {
alaerh_(path, "CPOCON", &info, &c__0, uplo, &n, &n, &
c_n1, &c_n1, &c_n1, &imat, &nfail, &nerrs,
nout);
}
result[7] = sget06_(&rcond, &rcondc);
/* Print the test ratio if it is .GE. THRESH. */
if (result[7] >= *thresh) {
if (nfail == 0 && nerrs == 0) {
alahd_(nout, path);
}
io___38.ciunit = *nout;
s_wsfe(&io___38);
do_fio(&c__1, uplo, (ftnlen)1);
do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&imat, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&c__8, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&result[7], (ftnlen)sizeof(real)
);
e_wsfe();
++nfail;
}
++nrun;
L90:
;
}
L100:
;
}
L110:
;
}
/* L120: */
}
/* Print a summary of the results. */
alasum_(path, nout, &nfail, &nrun, &nerrs);
return 0;
/* End of CCHKPO */
} /* cchkpo_ */
/* Subroutine */ int zdrvpo_(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 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 integer nbmin;
static doublereal rcond, roldc, 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 zpot01_(char *, integer *, doublecomplex *,
integer *, doublecomplex *, integer *, doublereal *, doublereal *), zpot02_(char *, integer *, integer *, doublecomplex *,
integer *, doublecomplex *, integer *, doublecomplex *, integer *,
doublereal *, doublereal *), zpot05_(char *, integer *,
integer *, doublecomplex *, integer *, doublecomplex *, integer *,
doublecomplex *, integer *, doublecomplex *, integer *,
doublereal *, doublereal *, doublereal *);
static logical zerot;
static char xtype[1];
extern /* Subroutine */ int zposv_(char *, integer *, integer *,
doublecomplex *, integer *, doublecomplex *, integer *, integer *), zlatb4_(char *, integer *, integer *, integer *, char *,
integer *, integer *, doublereal *, integer *, doublereal *,
char *), aladhd_(integer *, char *);
static integer nb, 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 integer iequed;
extern doublereal zlanhe_(char *, char *, integer *, doublecomplex *,
integer *, doublereal *);
extern /* Subroutine */ int alasvm_(char *, integer *, integer *, integer
*, integer *);
static doublereal cndnum;
extern /* Subroutine */ int zlaipd_(integer *, doublecomplex *, integer *,
integer *), zlaqhe_(char *, integer *, doublecomplex *, integer *
, doublereal *, doublereal *, doublereal *, char *);
static doublereal ainvnm;
extern /* Subroutine */ int xlaenv_(integer *, integer *), 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 zpoequ_(integer *, doublecomplex *, integer *,
doublereal *, doublereal *, doublereal *, integer *), zpotrf_(
char *, integer *, doublecomplex *, integer *, integer *),
zpotri_(char *, integer *, doublecomplex *, integer *, integer *), zerrvx_(char *, integer *), zposvx_(char *,
char *, integer *, integer *, doublecomplex *, integer *,
doublecomplex *, integer *, char *, doublereal *, doublecomplex *,
integer *, doublecomplex *, integer *, doublereal *, doublereal *
, doublereal *, doublecomplex *, doublereal *, integer *);
static integer lda;
/* Fortran I/O blocks */
static cilist io___48 = { 0, 0, 0, fmt_9999, 0 };
static cilist io___51 = { 0, 0, 0, fmt_9997, 0 };
static cilist io___52 = { 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
=======
ZDRVPO tests the driver routines ZPOSV 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)
AFAC (workspace) COMPLEX*16 array, dimension (NMAX*NMAX)
ASAV (workspace) COMPLEX*16 array, dimension (NMAX*NMAX)
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, "PO", (ftnlen)2, (ftnlen)2);
nrun = 0;
nfail = 0;
nerrs = 0;
for (i__ = 1; i__ <= 4; ++i__) {
iseed[i__ - 1] = iseedy[i__ - 1];
/* L10: */
}
/* Test the error exits */
if (*tsterr) {
zerrvx_(path, nout);
}
infoc_1.infot = 0;
/* Set the block size and minimum block size for testing. */
nb = 1;
nbmin = 2;
xlaenv_(&c__1, &nb);
xlaenv_(&c__2, &nbmin);
/* 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 L120;
}
/* Skip types 3, 4, or 5 if the matrix size is too small. */
zerot = imat >= 3 && imat <= 5;
if (zerot && n < imat - 2) {
goto L120;
}
/* Do first for UPLO = 'U', then for UPLO = 'L' */
for (iuplo = 1; iuplo <= 2; ++iuplo) {
*(unsigned char *)uplo = *(unsigned char *)&uplos[iuplo - 1];
/* Set up parameters with 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)6, (ftnlen)6);
zlatms_(&n, &n, dist, iseed, type__, &rwork[1], &mode, &
cndnum, &anorm, &kl, &ku, uplo, &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 L110;
}
/* For types 3-5, zero one row and column of the matrix to
test that INFO is returned correctly. */
if (zerot) {
if (imat == 3) {
izero = 1;
} else if (imat == 4) {
izero = n;
} else {
izero = n / 2 + 1;
}
ioff = (izero - 1) * lda;
/* Set row and column IZERO of A to 0. */
if (iuplo == 1) {
i__3 = izero - 1;
for (i__ = 1; i__ <= i__3; ++i__) {
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 += lda;
/* 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 += lda;
/* 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. */
i__3 = lda + 1;
zlaipd_(&n, &a[1], &i__3, &c__0);
/* Save a copy of the matrix A in ASAV. */
zlacpy_(uplo, &n, &n, &a[1], &lda, &asav[1], &lda);
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 L90;
}
rcondc = 0.;
} else if (! lsame_(fact, "N"))
{
/* Compute the condition number for comparison with
the value returned by ZPOSVX (FACT = 'N' reuses
the condition number from the previous iteration
with FACT = 'F'). */
zlacpy_(uplo, &n, &n, &asav[1], &lda, &afac[1], &
lda);
if (equil || iequed > 1) {
/* Compute row and column scale factors to
equilibrate the matrix A. */
zpoequ_(&n, &afac[1], &lda, &s[1], &scond, &
amax, &info);
if (info == 0 && n > 0) {
if (iequed > 1) {
scond = 0.;
}
/* Equilibrate the matrix. */
zlaqhe_(uplo, &n, &afac[1], &lda, &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 = zlanhe_("1", uplo, &n, &afac[1], &lda, &
rwork[1]);
/* Factor the matrix A. */
zpotrf_(uplo, &n, &afac[1], &lda, &info);
/* Form the inverse of A. */
zlacpy_(uplo, &n, &n, &afac[1], &lda, &a[1], &lda);
zpotri_(uplo, &n, &a[1], &lda, &info);
/* Compute the 1-norm condition number of A. */
ainvnm = zlanhe_("1", uplo, &n, &a[1], &lda, &
rwork[1]);
if (anorm <= 0. || ainvnm <= 0.) {
rcondc = 1.;
} else {
rcondc = 1. / anorm / ainvnm;
}
}
/* Restore the matrix A. */
zlacpy_(uplo, &n, &n, &asav[1], &lda, &a[1], &lda);
/* 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 ZPOSV ---
Compute the L*L' or U'*U factorization of the
matrix and solve the system. */
zlacpy_(uplo, &n, &n, &a[1], &lda, &afac[1], &lda);
zlacpy_("Full", &n, nrhs, &b[1], &lda, &x[1], &
lda);
s_copy(srnamc_1.srnamt, "ZPOSV ", (ftnlen)6, (
ftnlen)6);
zposv_(uplo, &n, nrhs, &afac[1], &lda, &x[1], &
lda, &info);
/* Check error code from ZPOSV . */
if (info != izero) {
alaerh_(path, "ZPOSV ", &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. */
zpot01_(uplo, &n, &a[1], &lda, &afac[1], &lda, &
rwork[1], result);
/* Compute residual of the computed solution. */
zlacpy_("Full", &n, nrhs, &b[1], &lda, &work[1], &
lda);
zpot02_(uplo, &n, nrhs, &a[1], &lda, &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___48.ciunit = *nout;
s_wsfe(&io___48);
do_fio(&c__1, "ZPOSV ", (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 ZPOSVX --- */
if (! prefac) {
zlaset_(uplo, &n, &n, &c_b51, &c_b51, &afac[1], &
lda);
}
zlaset_("Full", &n, nrhs, &c_b51, &c_b51, &x[1], &lda);
if (iequed > 1 && n > 0) {
/* Equilibrate the matrix if FACT='F' and
EQUED='Y'. */
zlaqhe_(uplo, &n, &a[1], &lda, &s[1], &scond, &
amax, equed);
}
/* Solve the system and compute the condition number
and error bounds using ZPOSVX. */
s_copy(srnamc_1.srnamt, "ZPOSVX", (ftnlen)6, (ftnlen)
6);
zposvx_(fact, uplo, &n, nrhs, &a[1], &lda, &afac[1], &
lda, 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 ZPOSVX. */
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, "ZPOSVX", &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. */
zpot01_(uplo, &n, &a[1], &lda, &afac[1], &lda,
&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);
zpot02_(uplo, &n, nrhs, &asav[1], &lda, &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. */
zpot05_(uplo, &n, nrhs, &asav[1], &lda, &b[1], &
lda, &x[1], &lda, &xact[1], &lda, &rwork[
1], &rwork[*nrhs + 1], &result[3]);
} else {
k1 = 6;
}
/* Compare RCOND from ZPOSVX 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___51.ciunit = *nout;
s_wsfe(&io___51);
do_fio(&c__1, "ZPOSVX", (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___52.ciunit = *nout;
s_wsfe(&io___52);
do_fio(&c__1, "ZPOSVX", (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: */
}
/* Print a summary of the results. */
alasvm_(path, nout, &nfail, &nrun, &nerrs);
return 0;
/* End of ZDRVPO */
} /* zdrvpo_ */
/* Subroutine */ int cchktb_(logical *dotype, integer *nn, integer *nval,
integer *nns, integer *nsval, real *thresh, logical *tsterr, integer *
nmax, complex *ab, complex *ainv, complex *b, complex *x, complex *
xact, complex *work, real *rwork, integer *nout)
{
/* Initialized data */
static integer iseedy[4] = { 1988,1989,1990,1991 };
static char uplos[1*2] = "U" "L";
static char transs[1*3] = "N" "T" "C";
/* Format strings */
static char fmt_9999[] = "(\002 UPLO='\002,a1,\002', TRANS='\002,a1,\002"
"', DIAG='\002,a1,\002', N=\002,i5,\002, K"
"D=\002,i5,\002, NRHS=\002,i5,\002, type \002,i2,\002, test(\002,"
"i2,\002)=\002,g12.5)";
static char fmt_9998[] = "(1x,a,\002( '\002,a1,\002', '\002,a1,\002', "
"'\002,a1,\002',\002,i5,\002,\002,i5,\002, ... ), type \002,i2"
",\002, test(\002,i2,\002)=\002,g12.5)";
static char fmt_9997[] = "(1x,a,\002( '\002,a1,\002', '\002,a1,\002', "
"'\002,a1,\002', '\002,a1,\002',\002,i5,\002,\002,i5,\002, ... )"
", type \002,i2,\002, test(\002,i1,\002)=\002,g12.5)";
/* System generated locals */
address a__1[3], a__2[4];
integer i__1, i__2, i__3, i__4, i__5, i__6[3], i__7[4];
char ch__1[3], ch__2[4];
/* Builtin functions */
/* Subroutine */ int s_copy(char *, char *, ftnlen, ftnlen), s_cat(char *,
char **, integer *, integer *, ftnlen);
integer s_wsfe(cilist *), do_fio(integer *, char *, ftnlen), e_wsfe(void);
/* Local variables */
integer i__, j, k, n, kd, ik, in, nk, lda, ldab;
char diag[1];
integer imat, info;
char path[3];
integer irhs, nrhs;
char norm[1], uplo[1];
integer nrun;
extern /* Subroutine */ int alahd_(integer *, char *);
integer idiag;
extern /* Subroutine */ int cget04_(integer *, integer *, complex *,
integer *, complex *, integer *, real *, real *);
real scale;
integer nfail, iseed[4];
extern /* Subroutine */ int ctbt02_(char *, char *, char *, integer *,
integer *, integer *, complex *, integer *, complex *, integer *,
complex *, integer *, complex *, real *, real *), ctbt03_(char *, char *, char *, integer *, integer *,
integer *, complex *, integer *, real *, real *, real *, complex *
, integer *, complex *, integer *, complex *, real *);
extern logical lsame_(char *, char *);
extern /* Subroutine */ int ctbt05_(char *, char *, char *, integer *,
integer *, integer *, complex *, integer *, complex *, integer *,
complex *, integer *, complex *, integer *, real *, real *, real *
), ctbt06_(real *, real *, char *, char *,
integer *, integer *, complex *, integer *, real *, real *);
real rcond;
integer nimat;
real anorm;
integer itran;
extern /* Subroutine */ int ccopy_(integer *, complex *, integer *,
complex *, integer *), ctbsv_(char *, char *, char *, integer *,
integer *, complex *, integer *, complex *, integer *);
char trans[1];
integer iuplo, nerrs;
char xtype[1];
integer nimat2;
extern /* Subroutine */ int alaerh_(char *, char *, integer *, integer *,
char *, integer *, integer *, integer *, integer *, integer *,
integer *, integer *, integer *, integer *);
extern doublereal clantb_(char *, char *, char *, integer *, integer *,
complex *, integer *, real *);
real rcondc;
extern /* Subroutine */ int clatbs_(char *, char *, char *, char *,
integer *, integer *, complex *, integer *, complex *, real *,
real *, integer *), clattb_(
integer *, char *, char *, char *, integer *, integer *, integer *
, complex *, integer *, complex *, complex *, real *, integer *), clacpy_(char *, integer *, integer *,
complex *, integer *, complex *, integer *), clarhs_(char
*, char *, char *, char *, integer *, integer *, integer *,
integer *, integer *, complex *, integer *, complex *, integer *,
complex *, integer *, integer *, integer *), claset_(char *, integer *, integer *, complex *,
complex *, complex *, integer *);
real rcondi;
extern /* Subroutine */ int ctbcon_(char *, char *, char *, integer *,
integer *, complex *, integer *, real *, complex *, real *,
integer *);
extern doublereal clantr_(char *, char *, char *, integer *, integer *,
complex *, integer *, real *);
real rcondo;
extern /* Subroutine */ int alasum_(char *, integer *, integer *, integer
*, integer *), ctbrfs_(char *, char *, char *, integer *,
integer *, integer *, complex *, integer *, complex *, integer *,
complex *, integer *, real *, real *, complex *, real *, integer *
);
real ainvnm;
extern /* Subroutine */ int cerrtr_(char *, integer *), ctbtrs_(
char *, char *, char *, integer *, integer *, integer *, complex *
, integer *, complex *, integer *, integer *);
real result[8];
/* Fortran I/O blocks */
static cilist io___39 = { 0, 0, 0, fmt_9999, 0 };
static cilist io___41 = { 0, 0, 0, fmt_9998, 0 };
static cilist io___43 = { 0, 0, 0, fmt_9997, 0 };
static cilist io___44 = { 0, 0, 0, fmt_9997, 0 };
/* -- LAPACK test routine (version 3.1) -- */
/* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */
/* November 2006 */
/* .. Scalar Arguments .. */
/* .. */
/* .. Array Arguments .. */
/* .. */
/* Purpose */
/* ======= */
/* CCHKTB tests CTBTRS, -RFS, and -CON, and CLATBS. */
/* 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 column 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) 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 leading dimension of the work arrays. */
/* NMAX >= the maximum value of N in NVAL. */
/* AB (workspace) COMPLEX array, dimension (NMAX*NMAX) */
/* AINV (workspace) COMPLEX array, dimension (NMAX*NMAX) */
/* B (workspace) COMPLEX array, dimension (NMAX*NSMAX) */
/* where NSMAX is the largest entry in NSVAL. */
/* X (workspace) COMPLEX array, dimension (NMAX*NSMAX) */
/* XACT (workspace) COMPLEX array, dimension (NMAX*NSMAX) */
/* WORK (workspace) COMPLEX array, dimension */
/* (NMAX*max(3,NSMAX)) */
/* RWORK (workspace) REAL 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;
--ab;
--nsval;
--nval;
--dotype;
/* Function Body */
/* .. */
/* .. Executable Statements .. */
/* Initialize constants and the random number seed. */
s_copy(path, "Complex precision", (ftnlen)1, (ftnlen)17);
s_copy(path + 1, "TB", (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) {
cerrtr_(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);
*(unsigned char *)xtype = 'N';
nimat = 9;
nimat2 = 17;
if (n <= 0) {
nimat = 1;
nimat2 = 10;
}
/* Computing MIN */
i__2 = n + 1;
nk = min(i__2,4);
i__2 = nk;
for (ik = 1; ik <= i__2; ++ik) {
/* Do for KD = 0, N, (3N-1)/4, and (N+1)/4. This order makes */
/* it easier to skip redundant values for small values of N. */
if (ik == 1) {
kd = 0;
} else if (ik == 2) {
kd = max(n,0);
} else if (ik == 3) {
kd = (n * 3 - 1) / 4;
} else if (ik == 4) {
kd = (n + 1) / 4;
}
ldab = kd + 1;
i__3 = nimat;
for (imat = 1; imat <= i__3; ++imat) {
/* Do the tests only if DOTYPE( IMAT ) is true. */
if (! dotype[imat]) {
goto L90;
}
for (iuplo = 1; iuplo <= 2; ++iuplo) {
/* Do first for UPLO = 'U', then for UPLO = 'L' */
*(unsigned char *)uplo = *(unsigned char *)&uplos[iuplo -
1];
/* Call CLATTB to generate a triangular test matrix. */
s_copy(srnamc_1.srnamt, "CLATTB", (ftnlen)32, (ftnlen)6);
clattb_(&imat, uplo, "No transpose", diag, iseed, &n, &kd,
&ab[1], &ldab, &x[1], &work[1], &rwork[1], &info);
/* Set IDIAG = 1 for non-unit matrices, 2 for unit. */
if (lsame_(diag, "N")) {
idiag = 1;
} else {
idiag = 2;
}
/* Form the inverse of A so we can get a good estimate */
/* of RCONDC = 1/(norm(A) * norm(inv(A))). */
claset_("Full", &n, &n, &c_b14, &c_b15, &ainv[1], &lda);
if (lsame_(uplo, "U")) {
i__4 = n;
for (j = 1; j <= i__4; ++j) {
ctbsv_(uplo, "No transpose", diag, &j, &kd, &ab[1]
, &ldab, &ainv[(j - 1) * lda + 1], &c__1);
/* L20: */
}
} else {
i__4 = n;
for (j = 1; j <= i__4; ++j) {
i__5 = n - j + 1;
ctbsv_(uplo, "No transpose", diag, &i__5, &kd, &
ab[(j - 1) * ldab + 1], &ldab, &ainv[(j -
1) * lda + j], &c__1);
/* L30: */
}
}
/* Compute the 1-norm condition number of A. */
anorm = clantb_("1", uplo, diag, &n, &kd, &ab[1], &ldab, &
rwork[1]);
ainvnm = clantr_("1", uplo, diag, &n, &n, &ainv[1], &lda,
&rwork[1]);
if (anorm <= 0.f || ainvnm <= 0.f) {
rcondo = 1.f;
} else {
rcondo = 1.f / anorm / ainvnm;
}
/* Compute the infinity-norm condition number of A. */
anorm = clantb_("I", uplo, diag, &n, &kd, &ab[1], &ldab, &
rwork[1]);
ainvnm = clantr_("I", uplo, diag, &n, &n, &ainv[1], &lda,
&rwork[1]);
if (anorm <= 0.f || ainvnm <= 0.f) {
rcondi = 1.f;
} else {
rcondi = 1.f / anorm / ainvnm;
}
i__4 = *nns;
for (irhs = 1; irhs <= i__4; ++irhs) {
nrhs = nsval[irhs];
*(unsigned char *)xtype = 'N';
for (itran = 1; itran <= 3; ++itran) {
/* Do for op(A) = A, A**T, or A**H. */
*(unsigned char *)trans = *(unsigned char *)&
transs[itran - 1];
if (itran == 1) {
*(unsigned char *)norm = 'O';
rcondc = rcondo;
} else {
*(unsigned char *)norm = 'I';
rcondc = rcondi;
}
/* + TEST 1 */
/* Solve and compute residual for op(A)*x = b. */
s_copy(srnamc_1.srnamt, "CLARHS", (ftnlen)32, (
ftnlen)6);
clarhs_(path, xtype, uplo, trans, &n, &n, &kd, &
idiag, &nrhs, &ab[1], &ldab, &xact[1], &
lda, &b[1], &lda, iseed, &info);
*(unsigned char *)xtype = 'C';
clacpy_("Full", &n, &nrhs, &b[1], &lda, &x[1], &
lda);
s_copy(srnamc_1.srnamt, "CTBTRS", (ftnlen)32, (
ftnlen)6);
ctbtrs_(uplo, trans, diag, &n, &kd, &nrhs, &ab[1],
&ldab, &x[1], &lda, &info);
/* Check error code from CTBTRS. */
if (info != 0) {
/* Writing concatenation */
i__6[0] = 1, a__1[0] = uplo;
i__6[1] = 1, a__1[1] = trans;
i__6[2] = 1, a__1[2] = diag;
s_cat(ch__1, a__1, i__6, &c__3, (ftnlen)3);
alaerh_(path, "CTBTRS", &info, &c__0, ch__1, &
n, &n, &kd, &kd, &nrhs, &imat, &nfail,
&nerrs, nout);
}
ctbt02_(uplo, trans, diag, &n, &kd, &nrhs, &ab[1],
&ldab, &x[1], &lda, &b[1], &lda, &work[1]
, &rwork[1], result);
/* + TEST 2 */
/* Check solution from generated exact solution. */
cget04_(&n, &nrhs, &x[1], &lda, &xact[1], &lda, &
rcondc, &result[1]);
/* + TESTS 3, 4, and 5 */
/* Use iterative refinement to improve the solution */
/* and compute error bounds. */
s_copy(srnamc_1.srnamt, "CTBRFS", (ftnlen)32, (
ftnlen)6);
ctbrfs_(uplo, trans, diag, &n, &kd, &nrhs, &ab[1],
&ldab, &b[1], &lda, &x[1], &lda, &rwork[
1], &rwork[nrhs + 1], &work[1], &rwork[(
nrhs << 1) + 1], &info);
/* Check error code from CTBRFS. */
if (info != 0) {
/* Writing concatenation */
i__6[0] = 1, a__1[0] = uplo;
i__6[1] = 1, a__1[1] = trans;
i__6[2] = 1, a__1[2] = diag;
s_cat(ch__1, a__1, i__6, &c__3, (ftnlen)3);
alaerh_(path, "CTBRFS", &info, &c__0, ch__1, &
n, &n, &kd, &kd, &nrhs, &imat, &nfail,
&nerrs, nout);
}
cget04_(&n, &nrhs, &x[1], &lda, &xact[1], &lda, &
rcondc, &result[2]);
ctbt05_(uplo, trans, diag, &n, &kd, &nrhs, &ab[1],
&ldab, &b[1], &lda, &x[1], &lda, &xact[1]
, &lda, &rwork[1], &rwork[nrhs + 1], &
result[3]);
/* Print information about the tests that did not */
/* pass the threshold. */
for (k = 1; k <= 5; ++k) {
if (result[k - 1] >= *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, trans, (ftnlen)1);
do_fio(&c__1, diag, (ftnlen)1);
do_fio(&c__1, (char *)&n, (ftnlen)sizeof(
integer));
do_fio(&c__1, (char *)&kd, (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(real));
e_wsfe();
++nfail;
}
/* L40: */
}
nrun += 5;
/* L50: */
}
/* L60: */
}
/* + TEST 6 */
/* Get an estimate of RCOND = 1/CNDNUM. */
for (itran = 1; itran <= 2; ++itran) {
if (itran == 1) {
*(unsigned char *)norm = 'O';
rcondc = rcondo;
} else {
*(unsigned char *)norm = 'I';
rcondc = rcondi;
}
s_copy(srnamc_1.srnamt, "CTBCON", (ftnlen)32, (ftnlen)
6);
ctbcon_(norm, uplo, diag, &n, &kd, &ab[1], &ldab, &
rcond, &work[1], &rwork[1], &info);
/* Check error code from CTBCON. */
if (info != 0) {
/* Writing concatenation */
i__6[0] = 1, a__1[0] = norm;
i__6[1] = 1, a__1[1] = uplo;
i__6[2] = 1, a__1[2] = diag;
s_cat(ch__1, a__1, i__6, &c__3, (ftnlen)3);
alaerh_(path, "CTBCON", &info, &c__0, ch__1, &n, &
n, &kd, &kd, &c_n1, &imat, &nfail, &nerrs,
nout);
}
ctbt06_(&rcond, &rcondc, uplo, diag, &n, &kd, &ab[1],
&ldab, &rwork[1], &result[5]);
/* Print the test ratio if it is .GE. THRESH. */
if (result[5] >= *thresh) {
if (nfail == 0 && nerrs == 0) {
alahd_(nout, path);
}
io___41.ciunit = *nout;
s_wsfe(&io___41);
do_fio(&c__1, "CTBCON", (ftnlen)6);
do_fio(&c__1, norm, (ftnlen)1);
do_fio(&c__1, uplo, (ftnlen)1);
do_fio(&c__1, diag, (ftnlen)1);
do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer))
;
do_fio(&c__1, (char *)&kd, (ftnlen)sizeof(integer)
);
do_fio(&c__1, (char *)&imat, (ftnlen)sizeof(
integer));
do_fio(&c__1, (char *)&c__6, (ftnlen)sizeof(
integer));
do_fio(&c__1, (char *)&result[5], (ftnlen)sizeof(
real));
e_wsfe();
++nfail;
}
++nrun;
/* L70: */
}
/* L80: */
}
L90:
;
}
/* Use pathological test matrices to test CLATBS. */
i__3 = nimat2;
for (imat = 10; imat <= i__3; ++imat) {
/* Do the tests only if DOTYPE( IMAT ) is true. */
if (! dotype[imat]) {
goto L120;
}
for (iuplo = 1; iuplo <= 2; ++iuplo) {
/* Do first for UPLO = 'U', then for UPLO = 'L' */
*(unsigned char *)uplo = *(unsigned char *)&uplos[iuplo -
1];
for (itran = 1; itran <= 3; ++itran) {
/* Do for op(A) = A, A**T, and A**H. */
*(unsigned char *)trans = *(unsigned char *)&transs[
itran - 1];
/* Call CLATTB to generate a triangular test matrix. */
s_copy(srnamc_1.srnamt, "CLATTB", (ftnlen)32, (ftnlen)
6);
clattb_(&imat, uplo, trans, diag, iseed, &n, &kd, &ab[
1], &ldab, &x[1], &work[1], &rwork[1], &info);
/* + TEST 7 */
/* Solve the system op(A)*x = b */
s_copy(srnamc_1.srnamt, "CLATBS", (ftnlen)32, (ftnlen)
6);
ccopy_(&n, &x[1], &c__1, &b[1], &c__1);
clatbs_(uplo, trans, diag, "N", &n, &kd, &ab[1], &
ldab, &b[1], &scale, &rwork[1], &info);
/* Check error code from CLATBS. */
if (info != 0) {
/* Writing concatenation */
i__7[0] = 1, a__2[0] = uplo;
i__7[1] = 1, a__2[1] = trans;
i__7[2] = 1, a__2[2] = diag;
i__7[3] = 1, a__2[3] = "N";
s_cat(ch__2, a__2, i__7, &c__4, (ftnlen)4);
alaerh_(path, "CLATBS", &info, &c__0, ch__2, &n, &
n, &kd, &kd, &c_n1, &imat, &nfail, &nerrs,
nout);
}
ctbt03_(uplo, trans, diag, &n, &kd, &c__1, &ab[1], &
ldab, &scale, &rwork[1], &c_b90, &b[1], &lda,
&x[1], &lda, &work[1], &result[6]);
/* + TEST 8 */
/* Solve op(A)*x = b again with NORMIN = 'Y'. */
ccopy_(&n, &x[1], &c__1, &b[1], &c__1);
clatbs_(uplo, trans, diag, "Y", &n, &kd, &ab[1], &
ldab, &b[1], &scale, &rwork[1], &info);
/* Check error code from CLATBS. */
if (info != 0) {
/* Writing concatenation */
i__7[0] = 1, a__2[0] = uplo;
i__7[1] = 1, a__2[1] = trans;
i__7[2] = 1, a__2[2] = diag;
i__7[3] = 1, a__2[3] = "Y";
s_cat(ch__2, a__2, i__7, &c__4, (ftnlen)4);
alaerh_(path, "CLATBS", &info, &c__0, ch__2, &n, &
n, &kd, &kd, &c_n1, &imat, &nfail, &nerrs,
nout);
}
ctbt03_(uplo, trans, diag, &n, &kd, &c__1, &ab[1], &
ldab, &scale, &rwork[1], &c_b90, &b[1], &lda,
&x[1], &lda, &work[1], &result[7]);
/* Print information about the tests that did not pass */
/* the threshold. */
if (result[6] >= *thresh) {
if (nfail == 0 && nerrs == 0) {
alahd_(nout, path);
}
io___43.ciunit = *nout;
s_wsfe(&io___43);
do_fio(&c__1, "CLATBS", (ftnlen)6);
do_fio(&c__1, uplo, (ftnlen)1);
do_fio(&c__1, trans, (ftnlen)1);
do_fio(&c__1, diag, (ftnlen)1);
do_fio(&c__1, "N", (ftnlen)1);
do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer))
;
do_fio(&c__1, (char *)&kd, (ftnlen)sizeof(integer)
);
do_fio(&c__1, (char *)&imat, (ftnlen)sizeof(
integer));
do_fio(&c__1, (char *)&c__7, (ftnlen)sizeof(
integer));
do_fio(&c__1, (char *)&result[6], (ftnlen)sizeof(
real));
e_wsfe();
++nfail;
}
if (result[7] >= *thresh) {
if (nfail == 0 && nerrs == 0) {
alahd_(nout, path);
}
io___44.ciunit = *nout;
s_wsfe(&io___44);
do_fio(&c__1, "CLATBS", (ftnlen)6);
do_fio(&c__1, uplo, (ftnlen)1);
do_fio(&c__1, trans, (ftnlen)1);
do_fio(&c__1, diag, (ftnlen)1);
do_fio(&c__1, "Y", (ftnlen)1);
do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer))
;
do_fio(&c__1, (char *)&kd, (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(
real));
e_wsfe();
++nfail;
}
nrun += 2;
/* L100: */
}
/* L110: */
}
L120:
;
}
/* L130: */
}
/* L140: */
}
/* Print a summary of the results. */
alasum_(path, nout, &nfail, &nrun, &nerrs);
return 0;
/* End of CCHKTB */
} /* cchktb_ */
/* Subroutine */ int ddrvab_(logical *dotype, integer *nm, integer *mval,
integer *nns, integer *nsval, doublereal *thresh, integer *nmax,
doublereal *a, doublereal *afac, doublereal *b, doublereal *x,
doublereal *work, doublereal *rwork, real *swork, integer *iwork,
integer *nout)
{
/* Initialized data */
static integer iseedy[4] = { 2006,2007,2008,2009 };
/* Format strings */
static char fmt_9988[] = "(\002 *** \002,a6,\002 returned with INFO ="
"\002,i5,\002 instead of \002,i5,/\002 ==> M =\002,i5,\002, type"
" \002,i2)";
static char fmt_9975[] = "(\002 *** Error code from \002,a6,\002=\002,"
"i5,\002 for M=\002,i5,\002, type \002,i2)";
static char fmt_8999[] = "(/1x,a3,\002: General dense matrices\002)";
static char fmt_8979[] = "(4x,\0021. Diagonal\002,24x,\0027. Last n/2 co"
"lumns zero\002,/4x,\0022. Upper triangular\002,16x,\0028. Random"
", CNDNUM = sqrt(0.1/EPS)\002,/4x,\0023. Lower triangular\002,16x,"
"\0029. Random, CNDNUM = 0.1/EPS\002,/4x,\0024. Random, CNDNUM = 2"
"\002,13x,\00210. Scaled near underflow\002,/4x,\0025. First colu"
"mn zero\002,14x,\00211. Scaled near overflow\002,/4x,\0026. Last"
" column zero\002)";
static char fmt_8960[] = "(3x,i2,\002: norm_1( B - A * X ) / \002,\002("
" norm_1(A) * norm_1(X) * EPS * SQRT(N) ) > 1 if ITERREF\002,/4x"
",\002or norm_1( B - A * X ) / \002,\002( norm_1(A) * norm_1(X) "
"* EPS ) > THRES if DGETRF\002)";
static char fmt_9998[] = "(\002 TRANS='\002,a1,\002', N =\002,i5,\002, N"
"RHS=\002,i3,\002, type \002,i2,\002, test(\002,i2,\002) =\002,g1"
"2.5)";
static char fmt_9996[] = "(1x,a6,\002: \002,i6,\002 out of \002,i6,\002 "
"tests failed to pass the threshold\002)";
static char fmt_9995[] = "(/1x,\002All tests for \002,a6,\002 routines p"
"assed the threshold (\002,i6,\002 tests run)\002)";
static char fmt_9994[] = "(6x,i6,\002 error messages recorded\002)";
/* System generated locals */
integer i__1, i__2, i__3;
cilist ci__1;
/* Builtin functions */
/* Subroutine */ int s_copy(char *, char *, ftnlen, ftnlen);
integer s_wsfe(cilist *), do_fio(integer *, char *, ftnlen), e_wsfe(void);
double sqrt(doublereal);
/* Local variables */
integer i__, m, n, im, kl, ku, lda, ioff, mode, kase, imat, info;
char path[3], dist[1];
integer irhs, iter, nrhs;
char type__[1];
integer nrun;
extern /* Subroutine */ int alahd_(integer *, char *);
integer nfail, iseed[4];
extern /* Subroutine */ int dget08_(char *, integer *, integer *, integer
*, doublereal *, integer *, doublereal *, integer *, doublereal *,
integer *, doublereal *, doublereal *);
integer nimat;
doublereal anorm;
char trans[1];
integer izero, nerrs;
logical zerot;
char xtype[1];
extern /* Subroutine */ int dlatb4_(char *, integer *, integer *, integer
*, char *, integer *, integer *, doublereal *, integer *,
doublereal *, char *), alaerh_(char *,
char *, integer *, integer *, char *, integer *, integer *,
integer *, integer *, integer *, integer *, integer *, integer *,
integer *), dlacpy_(char *, integer *,
integer *, doublereal *, integer *, doublereal *, integer *), dlarhs_(char *, char *, char *, char *, integer *,
integer *, integer *, integer *, integer *, doublereal *, integer
*, doublereal *, integer *, doublereal *, integer *, integer *,
integer *), dlaset_(char *,
integer *, integer *, doublereal *, doublereal *, doublereal *,
integer *);
doublereal cndnum;
extern /* Subroutine */ int dlatms_(integer *, integer *, char *, integer
*, char *, doublereal *, integer *, doublereal *, doublereal *,
integer *, integer *, char *, doublereal *, integer *, doublereal
*, integer *), dsgesv_(integer *, integer
*, doublereal *, integer *, integer *, doublereal *, integer *,
doublereal *, integer *, doublereal *, real *, integer *, integer
*);
doublereal result[1];
/* Fortran I/O blocks */
static cilist io___31 = { 0, 0, 0, fmt_9988, 0 };
static cilist io___32 = { 0, 0, 0, fmt_9975, 0 };
static cilist io___34 = { 0, 0, 0, fmt_8999, 0 };
static cilist io___35 = { 0, 0, 0, fmt_8979, 0 };
static cilist io___36 = { 0, 0, 0, fmt_8960, 0 };
static cilist io___37 = { 0, 0, 0, fmt_9998, 0 };
static cilist io___38 = { 0, 0, 0, fmt_9996, 0 };
static cilist io___39 = { 0, 0, 0, fmt_9995, 0 };
static cilist io___40 = { 0, 0, 0, fmt_9994, 0 };
/* -- LAPACK test routine (version 3.1) -- */
/* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */
/* November 2006 */
/* .. Scalar Arguments .. */
/* .. */
/* .. Array Arguments .. */
/* .. */
/* Purpose */
/* ======= */
/* DDRVAB tests DSGESV */
/* 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. */
/* NM (input) INTEGER */
/* The number of values of M contained in the vector MVAL. */
/* MVAL (input) INTEGER array, dimension (NM) */
/* The values of the matrix row dimension M. */
/* 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. */
/* NMAX (input) INTEGER */
/* The maximum value permitted for M or N, used in dimensioning */
/* the work arrays. */
/* A (workspace) DOUBLE PRECISION array, dimension (NMAX*NMAX) */
/* AFAC (workspace) DOUBLE PRECISION array, dimension (NMAX*NMAX) */
/* B (workspace) DOUBLE PRECISION array, dimension (NMAX*NSMAX) */
/* where NSMAX is the largest entry in NSVAL. */
/* X (workspace) DOUBLE PRECISION array, dimension (NMAX*NSMAX) */
/* WORK (workspace) DOUBLE PRECISION array, dimension */
/* (NMAX*max(3,NSMAX)) */
/* RWORK (workspace) DOUBLE PRECISION array, dimension */
/* (max(2*NMAX,2*NSMAX+NWORK)) */
/* SWORK (workspace) REAL array, dimension */
/* (NMAX*(NSMAX+NMAX)) */
/* IWORK (workspace) INTEGER array, dimension */
/* NMAX */
/* NOUT (input) INTEGER */
/* The unit number for output. */
/* ===================================================================== */
/* .. Parameters .. */
/* .. */
/* .. Local Scalars .. */
/* .. */
/* .. Local Arrays .. */
/* .. */
/* .. Local Variables .. */
/* .. */
/* .. External Subroutines .. */
/* .. */
/* .. Intrinsic Functions .. */
/* .. */
/* .. Scalars in Common .. */
/* .. */
/* .. Common blocks .. */
/* .. */
/* .. Data statements .. */
/* Parameter adjustments */
--iwork;
--swork;
--rwork;
--work;
--x;
--b;
--afac;
--a;
--nsval;
--mval;
--dotype;
/* Function Body */
/* .. */
/* .. Executable Statements .. */
/* Initialize constants and the random number seed. */
kase = 0;
s_copy(path, "Double precision", (ftnlen)1, (ftnlen)16);
s_copy(path + 1, "GE", (ftnlen)2, (ftnlen)2);
nrun = 0;
nfail = 0;
nerrs = 0;
for (i__ = 1; i__ <= 4; ++i__) {
iseed[i__ - 1] = iseedy[i__ - 1];
/* L10: */
}
infoc_1.infot = 0;
/* Do for each value of M in MVAL */
i__1 = *nm;
for (im = 1; im <= i__1; ++im) {
m = mval[im];
lda = max(1,m);
n = m;
nimat = 11;
if (m <= 0 || 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 5, 6, or 7 if the matrix size is too small. */
zerot = imat >= 5 && imat <= 7;
if (zerot && n < imat - 4) {
goto L100;
}
/* Set up parameters with DLATB4 and generate a test matrix */
/* with DLATMS. */
dlatb4_(path, &imat, &m, &n, type__, &kl, &ku, &anorm, &mode, &
cndnum, dist);
s_copy(srnamc_1.srnamt, "DLATMS", (ftnlen)6, (ftnlen)6);
dlatms_(&m, &n, dist, iseed, type__, &rwork[1], &mode, &cndnum, &
anorm, &kl, &ku, "No packing", &a[1], &lda, &work[1], &
info);
/* Check error code from DLATMS. */
if (info != 0) {
alaerh_(path, "DLATMS", &info, &c__0, " ", &m, &n, &c_n1, &
c_n1, &c_n1, &imat, &nfail, &nerrs, nout);
goto L100;
}
/* For types 5-7, zero one or more columns of the matrix to */
/* test that INFO is returned correctly. */
if (zerot) {
if (imat == 5) {
izero = 1;
} else if (imat == 6) {
izero = min(m,n);
} else {
izero = min(m,n) / 2 + 1;
}
ioff = (izero - 1) * lda;
if (imat < 7) {
i__3 = m;
for (i__ = 1; i__ <= i__3; ++i__) {
a[ioff + i__] = 0.;
/* L20: */
}
} else {
i__3 = n - izero + 1;
dlaset_("Full", &m, &i__3, &c_b17, &c_b17, &a[ioff + 1], &
lda);
}
} else {
izero = 0;
}
i__3 = *nns;
for (irhs = 1; irhs <= i__3; ++irhs) {
nrhs = nsval[irhs];
*(unsigned char *)xtype = 'N';
*(unsigned char *)trans = 'N';
s_copy(srnamc_1.srnamt, "DLARHS", (ftnlen)6, (ftnlen)6);
dlarhs_(path, xtype, " ", trans, &n, &n, &kl, &ku, &nrhs, &a[
1], &lda, &x[1], &lda, &b[1], &lda, iseed, &info);
s_copy(srnamc_1.srnamt, "DSGESV", (ftnlen)6, (ftnlen)6);
++kase;
dlacpy_("Full", &m, &n, &a[1], &lda, &afac[1], &lda);
dsgesv_(&n, &nrhs, &a[1], &lda, &iwork[1], &b[1], &lda, &x[1],
&lda, &work[1], &swork[1], &iter, &info);
if (iter < 0) {
dlacpy_("Full", &m, &n, &afac[1], &lda, &a[1], &lda);
}
/* Check error code from DSGESV. This should be the same as */
/* the one of DGETRF. */
if (info != izero) {
if (nfail == 0 && nerrs == 0) {
alahd_(nout, path);
}
++nerrs;
if (info != izero && izero != 0) {
io___31.ciunit = *nout;
s_wsfe(&io___31);
do_fio(&c__1, "DSGESV", (ftnlen)6);
do_fio(&c__1, (char *)&info, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&izero, (ftnlen)sizeof(integer))
;
do_fio(&c__1, (char *)&m, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&imat, (ftnlen)sizeof(integer));
e_wsfe();
} else {
io___32.ciunit = *nout;
s_wsfe(&io___32);
do_fio(&c__1, "DSGESV", (ftnlen)6);
do_fio(&c__1, (char *)&info, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&m, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&imat, (ftnlen)sizeof(integer));
e_wsfe();
}
}
/* Skip the remaining test if the matrix is singular. */
if (info != 0) {
goto L100;
}
/* Check the quality of the solution */
dlacpy_("Full", &n, &nrhs, &b[1], &lda, &work[1], &lda);
dget08_(trans, &n, &n, &nrhs, &a[1], &lda, &x[1], &lda, &work[
1], &lda, &rwork[1], result);
/* Check if the test passes the tesing. */
/* Print information about the tests that did not */
/* pass the testing. */
/* If iterative refinement has been used and claimed to */
/* be successful (ITER>0), we want */
/* NORM1(B - A*X)/(NORM1(A)*NORM1(X)*EPS*SRQT(N)) < 1 */
/* If double precision has been used (ITER<0), we want */
/* NORM1(B - A*X)/(NORM1(A)*NORM1(X)*EPS) < THRES */
/* (Cf. the linear solver testing routines) */
if (*thresh <= 0.f || iter >= 0 && n > 0 && result[0] >= sqrt(
(doublereal) n) || iter < 0 && result[0] >= *thresh) {
if (nfail == 0 && nerrs == 0) {
io___34.ciunit = *nout;
s_wsfe(&io___34);
do_fio(&c__1, "DGE", (ftnlen)3);
e_wsfe();
ci__1.cierr = 0;
ci__1.ciunit = *nout;
ci__1.cifmt = "( ' Matrix types:' )";
s_wsfe(&ci__1);
e_wsfe();
io___35.ciunit = *nout;
s_wsfe(&io___35);
e_wsfe();
ci__1.cierr = 0;
ci__1.ciunit = *nout;
ci__1.cifmt = "( ' Test ratios:' )";
s_wsfe(&ci__1);
e_wsfe();
io___36.ciunit = *nout;
s_wsfe(&io___36);
do_fio(&c__1, (char *)&c__1, (ftnlen)sizeof(integer));
e_wsfe();
ci__1.cierr = 0;
ci__1.ciunit = *nout;
ci__1.cifmt = "( ' Messages:' )";
s_wsfe(&ci__1);
e_wsfe();
}
io___37.ciunit = *nout;
s_wsfe(&io___37);
do_fio(&c__1, trans, (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 *)&c__1, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&result[0], (ftnlen)sizeof(
doublereal));
e_wsfe();
++nfail;
}
++nrun;
/* L60: */
}
L100:
;
}
/* L120: */
}
/* Print a summary of the results. */
if (nfail > 0) {
io___38.ciunit = *nout;
s_wsfe(&io___38);
do_fio(&c__1, "DSGESV", (ftnlen)6);
do_fio(&c__1, (char *)&nfail, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&nrun, (ftnlen)sizeof(integer));
e_wsfe();
} else {
io___39.ciunit = *nout;
s_wsfe(&io___39);
do_fio(&c__1, "DSGESV", (ftnlen)6);
do_fio(&c__1, (char *)&nrun, (ftnlen)sizeof(integer));
e_wsfe();
}
if (nerrs > 0) {
io___40.ciunit = *nout;
s_wsfe(&io___40);
do_fio(&c__1, (char *)&nerrs, (ftnlen)sizeof(integer));
e_wsfe();
}
/* SUBNAM, INFO, INFOE, M, IMAT */
/* SUBNAM, INFO, M, IMAT */
return 0;
/* End of DDRVAB */
} /* ddrvab_ */
/* Subroutine */ int dchkge_(logical *dotype, integer *nm, integer *mval,
integer *nn, integer *nval, integer *nnb, integer *nbval, integer *
nns, integer *nsval, doublereal *thresh, logical *tsterr, integer *
nmax, doublereal *a, doublereal *afac, doublereal *ainv, doublereal *
b, doublereal *x, doublereal *xact, doublereal *work, doublereal *
rwork, integer *iwork, integer *nout)
{
/* Initialized data */
static integer iseedy[4] = { 1988,1989,1990,1991 };
static char transs[1*3] = "N" "T" "C";
/* Format strings */
static char fmt_9999[] = "(\002 M = \002,i5,\002, N =\002,i5,\002, NB "
"=\002,i4,\002, type \002,i2,\002, test(\002,i2,\002) =\002,g12.5)"
;
static char fmt_9998[] = "(\002 TRANS='\002,a1,\002', N =\002,i5,\002, N"
"RHS=\002,i3,\002, type \002,i2,\002, test(\002,i2,\002) =\002,g1"
"2.5)";
static char fmt_9997[] = "(\002 NORM ='\002,a1,\002', N =\002,i5,\002"
",\002,10x,\002 type \002,i2,\002, test(\002,i2,\002) =\002,g12.5)"
;
/* System generated locals */
integer i__1, i__2, i__3, i__4, i__5;
/* Builtin functions */
/* Subroutine */ int s_copy(char *, char *, ftnlen, ftnlen);
integer s_wsfe(cilist *), do_fio(integer *, char *, ftnlen), e_wsfe(void);
/* Local variables */
integer i__, k, m, n, nb, im, in, kl, ku, nt, lda, inb, ioff, mode, imat,
info;
char path[3], dist[1];
integer irhs, nrhs;
char norm[1], type__[1];
integer nrun;
extern /* Subroutine */ int alahd_(integer *, char *), dget01_(
integer *, integer *, doublereal *, integer *, doublereal *,
integer *, integer *, doublereal *, doublereal *), dget02_(char *,
integer *, integer *, integer *, doublereal *, integer *,
doublereal *, integer *, doublereal *, integer *, doublereal *,
doublereal *), dget03_(integer *, doublereal *, integer *,
doublereal *, integer *, doublereal *, integer *, doublereal *,
doublereal *, doublereal *), dget04_(integer *, integer *,
doublereal *, integer *, doublereal *, integer *, doublereal *,
doublereal *);
integer nfail, iseed[4];
extern doublereal dget06_(doublereal *, doublereal *);
extern /* Subroutine */ int dget07_(char *, integer *, integer *,
doublereal *, integer *, doublereal *, integer *, doublereal *,
integer *, doublereal *, integer *, doublereal *, logical *,
doublereal *, doublereal *);
doublereal rcond;
integer nimat;
doublereal anorm;
integer itran;
char trans[1];
integer izero, nerrs;
doublereal dummy;
integer lwork;
logical zerot;
char xtype[1];
extern /* Subroutine */ int dlatb4_(char *, integer *, integer *, integer
*, char *, integer *, integer *, doublereal *, integer *,
doublereal *, char *);
extern doublereal dlange_(char *, integer *, integer *, doublereal *,
integer *, doublereal *);
extern /* Subroutine */ int alaerh_(char *, char *, integer *, integer *,
char *, integer *, integer *, integer *, integer *, integer *,
integer *, integer *, integer *, integer *), dgecon_(char *, integer *, doublereal *, integer *,
doublereal *, doublereal *, doublereal *, integer *, integer *);
doublereal rcondc;
extern /* Subroutine */ int derrge_(char *, integer *), dgerfs_(
char *, integer *, integer *, doublereal *, integer *, doublereal
*, integer *, integer *, doublereal *, integer *, doublereal *,
integer *, doublereal *, doublereal *, doublereal *, integer *,
integer *), dgetrf_(integer *, integer *, doublereal *,
integer *, integer *, integer *), dlacpy_(char *, integer *,
integer *, doublereal *, integer *, doublereal *, integer *), dlarhs_(char *, char *, char *, char *, integer *,
integer *, integer *, integer *, integer *, doublereal *, integer
*, doublereal *, integer *, doublereal *, integer *, integer *,
integer *);
doublereal rcondi;
extern /* Subroutine */ int dgetri_(integer *, doublereal *, integer *,
integer *, doublereal *, integer *, integer *), dlaset_(char *,
integer *, integer *, doublereal *, doublereal *, doublereal *,
integer *), alasum_(char *, integer *, integer *, integer
*, integer *);
doublereal cndnum, anormi, rcondo;
extern /* Subroutine */ int dlatms_(integer *, integer *, char *, integer
*, char *, doublereal *, integer *, doublereal *, doublereal *,
integer *, integer *, char *, doublereal *, integer *, doublereal
*, integer *);
doublereal ainvnm;
extern /* Subroutine */ int dgetrs_(char *, integer *, integer *,
doublereal *, integer *, integer *, doublereal *, integer *,
integer *);
logical trfcon;
doublereal anormo;
extern /* Subroutine */ int xlaenv_(integer *, integer *);
doublereal result[8];
/* Fortran I/O blocks */
static cilist io___41 = { 0, 0, 0, fmt_9999, 0 };
static cilist io___46 = { 0, 0, 0, fmt_9998, 0 };
static cilist io___50 = { 0, 0, 0, fmt_9997, 0 };
/* -- LAPACK test routine (version 3.1.1) -- */
/* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */
/* January 2007 */
/* .. Scalar Arguments .. */
/* .. */
/* .. Array Arguments .. */
/* .. */
/* Purpose */
/* ======= */
/* DCHKGE tests DGETRF, -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. */
/* NM (input) INTEGER */
/* The number of values of M contained in the vector MVAL. */
/* MVAL (input) INTEGER array, dimension (NM) */
/* The values of the matrix row dimension M. */
/* 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 column dimension N. */
/* NNB (input) INTEGER */
/* The number of values of NB contained in the vector NBVAL. */
/* NBVAL (input) INTEGER array, dimension (NBVAL) */
/* The values of the blocksize NB. */
/* NNS (input) INTEGER */
/* The number of values of NRHS contained in the vector NSVAL. */
/* NSVAL (input) INTEGER array, dimension (NNS) */
/* The values of the number of right hand sides NRHS. */
/* THRESH (input) DOUBLE PRECISION */
/* The threshold value for the test ratios. A result is */
/* included in the output file if RESULT >= THRESH. To have */
/* every test ratio printed, use THRESH = 0. */
/* TSTERR (input) LOGICAL */
/* Flag that indicates whether error exits are to be tested. */
/* NMAX (input) INTEGER */
/* The maximum value permitted for M or N, used in dimensioning */
/* the work arrays. */
/* A (workspace) DOUBLE PRECISION array, dimension (NMAX*NMAX) */
/* AFAC (workspace) DOUBLE PRECISION array, dimension (NMAX*NMAX) */
/* AINV (workspace) DOUBLE PRECISION array, dimension (NMAX*NMAX) */
/* B (workspace) DOUBLE PRECISION array, dimension (NMAX*NSMAX) */
/* where NSMAX is the largest entry in NSVAL. */
/* X (workspace) DOUBLE PRECISION array, dimension (NMAX*NSMAX) */
/* XACT (workspace) DOUBLE PRECISION array, dimension (NMAX*NSMAX) */
/* WORK (workspace) DOUBLE PRECISION array, dimension */
/* (NMAX*max(3,NSMAX)) */
/* RWORK (workspace) DOUBLE PRECISION array, dimension */
/* (max(2*NMAX,2*NSMAX+NWORK)) */
/* IWORK (workspace) INTEGER array, dimension (2*NMAX) */
/* NOUT (input) INTEGER */
/* The unit number for output. */
/* ===================================================================== */
/* .. Parameters .. */
/* .. */
/* .. Local Scalars .. */
/* .. */
/* .. Local Arrays .. */
/* .. */
/* .. External Functions .. */
/* .. */
/* .. External Subroutines .. */
/* .. */
/* .. Intrinsic Functions .. */
/* .. */
/* .. Scalars in Common .. */
/* .. */
/* .. Common blocks .. */
/* .. */
/* .. Data statements .. */
/* Parameter adjustments */
--iwork;
--rwork;
--work;
--xact;
--x;
--b;
--ainv;
--afac;
--a;
--nsval;
--nbval;
--nval;
--mval;
--dotype;
/* Function Body */
/* .. */
/* .. Executable Statements .. */
/* Initialize constants and the random number seed. */
s_copy(path, "Double precision", (ftnlen)1, (ftnlen)16);
s_copy(path + 1, "GE", (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 */
xlaenv_(&c__1, &c__1);
if (*tsterr) {
derrge_(path, nout);
}
infoc_1.infot = 0;
xlaenv_(&c__2, &c__2);
/* Do for each value of M in MVAL */
i__1 = *nm;
for (im = 1; im <= i__1; ++im) {
m = mval[im];
lda = max(1,m);
/* Do for each value of N in NVAL */
i__2 = *nn;
for (in = 1; in <= i__2; ++in) {
n = nval[in];
*(unsigned char *)xtype = 'N';
nimat = 11;
if (m <= 0 || n <= 0) {
nimat = 1;
}
i__3 = nimat;
for (imat = 1; imat <= i__3; ++imat) {
/* Do the tests only if DOTYPE( IMAT ) is true. */
if (! dotype[imat]) {
goto L100;
}
/* Skip types 5, 6, or 7 if the matrix size is too small. */
zerot = imat >= 5 && imat <= 7;
if (zerot && n < imat - 4) {
goto L100;
}
/* Set up parameters with DLATB4 and generate a test matrix */
/* with DLATMS. */
dlatb4_(path, &imat, &m, &n, type__, &kl, &ku, &anorm, &mode,
&cndnum, dist);
s_copy(srnamc_1.srnamt, "DLATMS", (ftnlen)32, (ftnlen)6);
dlatms_(&m, &n, dist, iseed, type__, &rwork[1], &mode, &
cndnum, &anorm, &kl, &ku, "No packing", &a[1], &lda, &
work[1], &info);
/* Check error code from DLATMS. */
if (info != 0) {
alaerh_(path, "DLATMS", &info, &c__0, " ", &m, &n, &c_n1,
&c_n1, &c_n1, &imat, &nfail, &nerrs, nout);
goto L100;
}
/* For types 5-7, zero one or more columns of the matrix to */
/* test that INFO is returned correctly. */
if (zerot) {
if (imat == 5) {
izero = 1;
} else if (imat == 6) {
izero = min(m,n);
} else {
izero = min(m,n) / 2 + 1;
}
ioff = (izero - 1) * lda;
if (imat < 7) {
i__4 = m;
for (i__ = 1; i__ <= i__4; ++i__) {
a[ioff + i__] = 0.;
/* L20: */
}
} else {
i__4 = n - izero + 1;
dlaset_("Full", &m, &i__4, &c_b23, &c_b23, &a[ioff +
1], &lda);
}
} else {
izero = 0;
}
/* These lines, if used in place of the calls in the DO 60 */
/* loop, cause the code to bomb on a Sun SPARCstation. */
/* ANORMO = DLANGE( 'O', M, N, A, LDA, RWORK ) */
/* ANORMI = DLANGE( 'I', M, N, A, LDA, RWORK ) */
/* Do for each blocksize in NBVAL */
i__4 = *nnb;
for (inb = 1; inb <= i__4; ++inb) {
nb = nbval[inb];
xlaenv_(&c__1, &nb);
/* Compute the LU factorization of the matrix. */
dlacpy_("Full", &m, &n, &a[1], &lda, &afac[1], &lda);
s_copy(srnamc_1.srnamt, "DGETRF", (ftnlen)32, (ftnlen)6);
dgetrf_(&m, &n, &afac[1], &lda, &iwork[1], &info);
/* Check error code from DGETRF. */
if (info != izero) {
alaerh_(path, "DGETRF", &info, &izero, " ", &m, &n, &
c_n1, &c_n1, &nb, &imat, &nfail, &nerrs, nout);
}
trfcon = FALSE_;
/* + TEST 1 */
/* Reconstruct matrix from factors and compute residual. */
dlacpy_("Full", &m, &n, &afac[1], &lda, &ainv[1], &lda);
dget01_(&m, &n, &a[1], &lda, &ainv[1], &lda, &iwork[1], &
rwork[1], result);
nt = 1;
/* + TEST 2 */
/* Form the inverse if the factorization was successful */
/* and compute the residual. */
if (m == n && info == 0) {
dlacpy_("Full", &n, &n, &afac[1], &lda, &ainv[1], &
lda);
s_copy(srnamc_1.srnamt, "DGETRI", (ftnlen)32, (ftnlen)
6);
nrhs = nsval[1];
lwork = *nmax * max(3,nrhs);
dgetri_(&n, &ainv[1], &lda, &iwork[1], &work[1], &
lwork, &info);
/* Check error code from DGETRI. */
if (info != 0) {
alaerh_(path, "DGETRI", &info, &c__0, " ", &n, &n,
&c_n1, &c_n1, &nb, &imat, &nfail, &nerrs,
nout);
}
/* Compute the residual for the matrix times its */
/* inverse. Also compute the 1-norm condition number */
/* of A. */
dget03_(&n, &a[1], &lda, &ainv[1], &lda, &work[1], &
lda, &rwork[1], &rcondo, &result[1]);
anormo = dlange_("O", &m, &n, &a[1], &lda, &rwork[1]);
/* Compute the infinity-norm condition number of A. */
anormi = dlange_("I", &m, &n, &a[1], &lda, &rwork[1]);
ainvnm = dlange_("I", &n, &n, &ainv[1], &lda, &rwork[
1]);
if (anormi <= 0. || ainvnm <= 0.) {
rcondi = 1.;
} else {
rcondi = 1. / anormi / ainvnm;
}
nt = 2;
} else {
/* Do only the condition estimate if INFO > 0. */
trfcon = TRUE_;
anormo = dlange_("O", &m, &n, &a[1], &lda, &rwork[1]);
anormi = dlange_("I", &m, &n, &a[1], &lda, &rwork[1]);
rcondo = 0.;
rcondi = 0.;
}
/* Print information about the tests so far that did not */
/* pass the threshold. */
i__5 = nt;
for (k = 1; k <= i__5; ++k) {
if (result[k - 1] >= *thresh) {
if (nfail == 0 && nerrs == 0) {
alahd_(nout, path);
}
io___41.ciunit = *nout;
s_wsfe(&io___41);
do_fio(&c__1, (char *)&m, (ftnlen)sizeof(integer))
;
do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer))
;
do_fio(&c__1, (char *)&nb, (ftnlen)sizeof(integer)
);
do_fio(&c__1, (char *)&imat, (ftnlen)sizeof(
integer));
do_fio(&c__1, (char *)&k, (ftnlen)sizeof(integer))
;
do_fio(&c__1, (char *)&result[k - 1], (ftnlen)
sizeof(doublereal));
e_wsfe();
++nfail;
}
/* L30: */
}
nrun += nt;
/* Skip the remaining tests if this is not the first */
/* block size or if M .ne. N. Skip the solve tests if */
/* the matrix is singular. */
if (inb > 1 || m != n) {
goto L90;
}
if (trfcon) {
goto L70;
}
i__5 = *nns;
for (irhs = 1; irhs <= i__5; ++irhs) {
nrhs = nsval[irhs];
*(unsigned char *)xtype = 'N';
for (itran = 1; itran <= 3; ++itran) {
*(unsigned char *)trans = *(unsigned char *)&
transs[itran - 1];
if (itran == 1) {
rcondc = rcondo;
} else {
rcondc = rcondi;
}
/* + TEST 3 */
/* Solve and compute residual for A * X = B. */
s_copy(srnamc_1.srnamt, "DLARHS", (ftnlen)32, (
ftnlen)6);
dlarhs_(path, xtype, " ", trans, &n, &n, &kl, &ku,
&nrhs, &a[1], &lda, &xact[1], &lda, &b[1]
, &lda, iseed, &info);
*(unsigned char *)xtype = 'C';
dlacpy_("Full", &n, &nrhs, &b[1], &lda, &x[1], &
lda);
s_copy(srnamc_1.srnamt, "DGETRS", (ftnlen)32, (
ftnlen)6);
dgetrs_(trans, &n, &nrhs, &afac[1], &lda, &iwork[
1], &x[1], &lda, &info);
/* Check error code from DGETRS. */
if (info != 0) {
alaerh_(path, "DGETRS", &info, &c__0, trans, &
n, &n, &c_n1, &c_n1, &nrhs, &imat, &
nfail, &nerrs, nout);
}
dlacpy_("Full", &n, &nrhs, &b[1], &lda, &work[1],
&lda);
dget02_(trans, &n, &n, &nrhs, &a[1], &lda, &x[1],
&lda, &work[1], &lda, &rwork[1], &result[
2]);
/* + TEST 4 */
/* Check solution from generated exact solution. */
dget04_(&n, &nrhs, &x[1], &lda, &xact[1], &lda, &
rcondc, &result[3]);
/* + TESTS 5, 6, and 7 */
/* Use iterative refinement to improve the */
/* solution. */
s_copy(srnamc_1.srnamt, "DGERFS", (ftnlen)32, (
ftnlen)6);
dgerfs_(trans, &n, &nrhs, &a[1], &lda, &afac[1], &
lda, &iwork[1], &b[1], &lda, &x[1], &lda,
&rwork[1], &rwork[nrhs + 1], &work[1], &
iwork[n + 1], &info);
/* Check error code from DGERFS. */
if (info != 0) {
alaerh_(path, "DGERFS", &info, &c__0, trans, &
n, &n, &c_n1, &c_n1, &nrhs, &imat, &
nfail, &nerrs, nout);
}
dget04_(&n, &nrhs, &x[1], &lda, &xact[1], &lda, &
rcondc, &result[4]);
dget07_(trans, &n, &nrhs, &a[1], &lda, &b[1], &
lda, &x[1], &lda, &xact[1], &lda, &rwork[
1], &c_true, &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___46.ciunit = *nout;
s_wsfe(&io___46);
do_fio(&c__1, trans, (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;
}
/* L40: */
}
nrun += 5;
/* L50: */
}
/* L60: */
}
/* + TEST 8 */
/* Get an estimate of RCOND = 1/CNDNUM. */
L70:
for (itran = 1; itran <= 2; ++itran) {
if (itran == 1) {
anorm = anormo;
rcondc = rcondo;
*(unsigned char *)norm = 'O';
} else {
anorm = anormi;
rcondc = rcondi;
*(unsigned char *)norm = 'I';
}
s_copy(srnamc_1.srnamt, "DGECON", (ftnlen)32, (ftnlen)
6);
dgecon_(norm, &n, &afac[1], &lda, &anorm, &rcond, &
work[1], &iwork[n + 1], &info);
/* Check error code from DGECON. */
if (info != 0) {
alaerh_(path, "DGECON", &info, &c__0, norm, &n, &
n, &c_n1, &c_n1, &c_n1, &imat, &nfail, &
nerrs, nout);
}
/* This line is needed on a Sun SPARCstation. */
dummy = rcond;
result[7] = dget06_(&rcond, &rcondc);
/* Print information about the tests that did not pass */
/* the threshold. */
if (result[7] >= *thresh) {
if (nfail == 0 && nerrs == 0) {
alahd_(nout, path);
}
io___50.ciunit = *nout;
s_wsfe(&io___50);
do_fio(&c__1, norm, (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;
/* L80: */
}
L90:
;
}
L100:
;
}
/* L110: */
}
/* L120: */
}
/* Print a summary of the results. */
alasum_(path, nout, &nfail, &nrun, &nerrs);
return 0;
/* End of DCHKGE */
} /* dchkge_ */
/* Subroutine */ int ddrvsp_(logical *dotype, integer *nn, integer *nval,
integer *nrhs, doublereal *thresh, logical *tsterr, integer *nmax,
doublereal *a, doublereal *afac, doublereal *ainv, doublereal *b,
doublereal *x, doublereal *xact, doublereal *work, doublereal *rwork,
integer *iwork, integer *nout)
{
/* Initialized data */
static integer iseedy[4] = { 1988,1989,1990,1991 };
static char facts[1*2] = "F" "N";
/* Format strings */
static char fmt_9999[] = "(1x,a6,\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[] = "(1x,a6,\002, FACT='\002,a1,\002', UPLO='\002,a"
"1,\002', N =\002,i5,\002, type \002,i2,\002, test \002,i2,\002, "
"ratio =\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 */
integer i__, j, k, n, i1, i2, k1, in, kl, ku, nt, lda, npp;
char fact[1];
integer ioff, mode, imat, info;
char path[3], dist[1], uplo[1], type__[1];
integer nrun, ifact;
extern /* Subroutine */ int dget04_(integer *, integer *, doublereal *,
integer *, doublereal *, integer *, doublereal *, doublereal *);
integer nfail, iseed[4];
extern doublereal dget06_(doublereal *, doublereal *);
doublereal rcond;
integer nimat;
extern /* Subroutine */ int dppt02_(char *, integer *, integer *,
doublereal *, doublereal *, integer *, doublereal *, integer *,
doublereal *, doublereal *), dspt01_(char *, integer *,
doublereal *, doublereal *, integer *, doublereal *, integer *,
doublereal *, doublereal *);
doublereal anorm;
extern /* Subroutine */ int dppt05_(char *, integer *, integer *,
doublereal *, doublereal *, integer *, doublereal *, integer *,
doublereal *, integer *, doublereal *, doublereal *, doublereal *), dcopy_(integer *, doublereal *, integer *, doublereal *,
integer *);
integer iuplo, izero, nerrs, lwork;
extern /* Subroutine */ int dspsv_(char *, integer *, integer *,
doublereal *, integer *, doublereal *, integer *, integer *);
logical zerot;
char xtype[1];
extern /* Subroutine */ int dlatb4_(char *, integer *, integer *, integer
*, char *, integer *, integer *, doublereal *, integer *,
doublereal *, char *), aladhd_(integer *,
char *), alaerh_(char *, char *, integer *, integer *,
char *, integer *, integer *, integer *, integer *, integer *,
integer *, integer *, integer *, integer *);
doublereal rcondc;
char packit[1];
extern /* Subroutine */ int dlacpy_(char *, integer *, integer *,
doublereal *, integer *, doublereal *, integer *),
dlarhs_(char *, char *, char *, char *, integer *, integer *,
integer *, integer *, integer *, doublereal *, integer *,
doublereal *, integer *, doublereal *, integer *, integer *,
integer *), dlaset_(char *,
integer *, integer *, doublereal *, doublereal *, doublereal *,
integer *);
extern doublereal dlansp_(char *, char *, integer *, doublereal *,
doublereal *);
extern /* Subroutine */ int alasvm_(char *, integer *, integer *, integer
*, integer *);
doublereal cndnum;
extern /* Subroutine */ int dlatms_(integer *, integer *, char *, integer
*, char *, doublereal *, integer *, doublereal *, doublereal *,
integer *, integer *, char *, doublereal *, integer *, doublereal
*, integer *);
doublereal ainvnm;
extern /* Subroutine */ int dsptrf_(char *, integer *, doublereal *,
integer *, integer *), dsptri_(char *, integer *,
doublereal *, integer *, doublereal *, integer *),
derrvx_(char *, integer *);
doublereal result[6];
extern /* Subroutine */ int dspsvx_(char *, char *, integer *, integer *,
doublereal *, doublereal *, integer *, doublereal *, integer *,
doublereal *, integer *, doublereal *, doublereal *, doublereal *,
doublereal *, integer *, integer *);
/* Fortran I/O blocks */
static cilist io___41 = { 0, 0, 0, fmt_9999, 0 };
static cilist io___44 = { 0, 0, 0, fmt_9998, 0 };
/* -- LAPACK test routine (version 3.1) -- */
/* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */
/* November 2006 */
/* .. Scalar Arguments .. */
/* .. */
/* .. Array Arguments .. */
/* .. */
/* Purpose */
/* ======= */
/* DDRVSP tests the driver routines DSPSV 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) DOUBLE PRECISION array, dimension */
/* (NMAX*(NMAX+1)/2) */
/* AFAC (workspace) DOUBLE PRECISION array, dimension */
/* (NMAX*(NMAX+1)/2) */
/* AINV (workspace) DOUBLE PRECISION array, dimension */
/* (NMAX*(NMAX+1)/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(2,NRHS)) */
/* RWORK (workspace) DOUBLE PRECISION array, dimension (NMAX+2*NRHS) */
/* IWORK (workspace) INTEGER array, dimension (2*NMAX) */
/* NOUT (input) INTEGER */
/* The unit number for output. */
/* ===================================================================== */
/* .. Parameters .. */
/* .. */
/* .. Local Scalars .. */
/* .. */
/* .. Local Arrays .. */
/* .. */
/* .. External Functions .. */
/* .. */
/* .. External Subroutines .. */
/* .. */
/* .. Scalars in Common .. */
/* .. */
/* .. Common blocks .. */
/* .. */
/* .. Intrinsic Functions .. */
/* .. */
/* .. Data statements .. */
/* Parameter adjustments */
--iwork;
--rwork;
--work;
--xact;
--x;
--b;
--ainv;
--afac;
--a;
--nval;
--dotype;
/* Function Body */
/* .. */
/* .. Executable Statements .. */
/* Initialize constants and the random number seed. */
s_copy(path, "Double precision", (ftnlen)1, (ftnlen)16);
s_copy(path + 1, "SP", (ftnlen)2, (ftnlen)2);
nrun = 0;
nfail = 0;
nerrs = 0;
for (i__ = 1; i__ <= 4; ++i__) {
iseed[i__ - 1] = iseedy[i__ - 1];
/* L10: */
}
/* Computing MAX */
i__1 = *nmax << 1, i__2 = *nmax * *nrhs;
lwork = max(i__1,i__2);
/* Test the error exits */
if (*tsterr) {
derrvx_(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 = 10;
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 L170;
}
/* Skip types 3, 4, 5, or 6 if the matrix size is too small. */
zerot = imat >= 3 && imat <= 6;
if (zerot && n < imat - 2) {
goto L170;
}
/* Do first for UPLO = 'U', then for UPLO = 'L' */
for (iuplo = 1; iuplo <= 2; ++iuplo) {
if (iuplo == 1) {
*(unsigned char *)uplo = 'U';
*(unsigned char *)packit = 'C';
} else {
*(unsigned char *)uplo = 'L';
*(unsigned char *)packit = 'R';
}
/* Set up parameters with DLATB4 and generate a test matrix */
/* with DLATMS. */
dlatb4_(path, &imat, &n, &n, type__, &kl, &ku, &anorm, &mode,
&cndnum, dist);
s_copy(srnamc_1.srnamt, "DLATMS", (ftnlen)6, (ftnlen)6);
dlatms_(&n, &n, dist, iseed, type__, &rwork[1], &mode, &
cndnum, &anorm, &kl, &ku, packit, &a[1], &lda, &work[
1], &info);
/* Check error code from DLATMS. */
if (info != 0) {
alaerh_(path, "DLATMS", &info, &c__0, uplo, &n, &n, &c_n1,
&c_n1, &c_n1, &imat, &nfail, &nerrs, nout);
goto L160;
}
/* For types 3-6, zero one or more rows and columns 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;
}
if (imat < 6) {
/* Set row and column IZERO to zero. */
if (iuplo == 1) {
ioff = (izero - 1) * izero / 2;
i__3 = izero - 1;
for (i__ = 1; i__ <= i__3; ++i__) {
a[ioff + i__] = 0.;
/* L20: */
}
ioff += izero;
i__3 = n;
for (i__ = izero; i__ <= i__3; ++i__) {
a[ioff] = 0.;
ioff += i__;
/* L30: */
}
} else {
ioff = izero;
i__3 = izero - 1;
for (i__ = 1; i__ <= i__3; ++i__) {
a[ioff] = 0.;
ioff = ioff + n - i__;
/* L40: */
}
ioff -= izero;
i__3 = n;
for (i__ = izero; i__ <= i__3; ++i__) {
a[ioff + i__] = 0.;
/* L50: */
}
}
} else {
ioff = 0;
if (iuplo == 1) {
/* Set the first IZERO rows and columns to zero. */
i__3 = n;
for (j = 1; j <= i__3; ++j) {
i2 = min(j,izero);
i__4 = i2;
for (i__ = 1; i__ <= i__4; ++i__) {
a[ioff + i__] = 0.;
/* L60: */
}
ioff += j;
/* L70: */
}
} else {
/* Set the last IZERO rows and columns to zero. */
i__3 = n;
for (j = 1; j <= i__3; ++j) {
i1 = max(j,izero);
i__4 = n;
for (i__ = i1; i__ <= i__4; ++i__) {
a[ioff + i__] = 0.;
/* L80: */
}
ioff = ioff + n - j;
/* L90: */
}
}
}
} else {
izero = 0;
}
for (ifact = 1; ifact <= 2; ++ifact) {
/* Do first for FACT = 'F', then for other values. */
*(unsigned char *)fact = *(unsigned char *)&facts[ifact -
1];
/* Compute the condition number for comparison with */
/* the value returned by DSPSVX. */
if (zerot) {
if (ifact == 1) {
goto L150;
}
rcondc = 0.;
} else if (ifact == 1) {
/* Compute the 1-norm of A. */
anorm = dlansp_("1", uplo, &n, &a[1], &rwork[1]);
/* Factor the matrix A. */
dcopy_(&npp, &a[1], &c__1, &afac[1], &c__1);
dsptrf_(uplo, &n, &afac[1], &iwork[1], &info);
/* Compute inv(A) and take its norm. */
dcopy_(&npp, &afac[1], &c__1, &ainv[1], &c__1);
dsptri_(uplo, &n, &ainv[1], &iwork[1], &work[1], &
info);
ainvnm = dlansp_("1", uplo, &n, &ainv[1], &rwork[1]);
/* Compute the 1-norm condition number of A. */
if (anorm <= 0. || ainvnm <= 0.) {
rcondc = 1.;
} else {
rcondc = 1. / anorm / ainvnm;
}
}
/* Form an exact solution and set the right hand side. */
s_copy(srnamc_1.srnamt, "DLARHS", (ftnlen)6, (ftnlen)6);
dlarhs_(path, xtype, uplo, " ", &n, &n, &kl, &ku, nrhs, &
a[1], &lda, &xact[1], &lda, &b[1], &lda, iseed, &
info);
*(unsigned char *)xtype = 'C';
/* --- Test DSPSV --- */
if (ifact == 2) {
dcopy_(&npp, &a[1], &c__1, &afac[1], &c__1);
dlacpy_("Full", &n, nrhs, &b[1], &lda, &x[1], &lda);
/* Factor the matrix and solve the system using DSPSV. */
s_copy(srnamc_1.srnamt, "DSPSV ", (ftnlen)6, (ftnlen)
6);
dspsv_(uplo, &n, nrhs, &afac[1], &iwork[1], &x[1], &
lda, &info);
/* Adjust the expected value of INFO to account for */
/* pivoting. */
k = izero;
if (k > 0) {
L100:
if (iwork[k] < 0) {
if (iwork[k] != -k) {
k = -iwork[k];
goto L100;
}
} else if (iwork[k] != k) {
k = iwork[k];
goto L100;
}
}
/* Check error code from DSPSV . */
if (info != k) {
alaerh_(path, "DSPSV ", &info, &k, uplo, &n, &n, &
c_n1, &c_n1, nrhs, &imat, &nfail, &nerrs,
nout);
goto L120;
} else if (info != 0) {
goto L120;
}
/* Reconstruct matrix from factors and compute */
/* residual. */
dspt01_(uplo, &n, &a[1], &afac[1], &iwork[1], &ainv[1]
, &lda, &rwork[1], result);
/* Compute residual of the computed solution. */
dlacpy_("Full", &n, nrhs, &b[1], &lda, &work[1], &lda);
dppt02_(uplo, &n, nrhs, &a[1], &x[1], &lda, &work[1],
&lda, &rwork[1], &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___41.ciunit = *nout;
s_wsfe(&io___41);
do_fio(&c__1, "DSPSV ", (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;
}
/* L110: */
}
nrun += nt;
L120:
;
}
/* --- Test DSPSVX --- */
if (ifact == 2 && npp > 0) {
dlaset_("Full", &npp, &c__1, &c_b59, &c_b59, &afac[1],
&npp);
}
dlaset_("Full", &n, nrhs, &c_b59, &c_b59, &x[1], &lda);
/* Solve the system and compute the condition number and */
/* error bounds using DSPSVX. */
s_copy(srnamc_1.srnamt, "DSPSVX", (ftnlen)6, (ftnlen)6);
dspsvx_(fact, uplo, &n, nrhs, &a[1], &afac[1], &iwork[1],
&b[1], &lda, &x[1], &lda, &rcond, &rwork[1], &
rwork[*nrhs + 1], &work[1], &iwork[n + 1], &info);
/* Adjust the expected value of INFO to account for */
/* pivoting. */
k = izero;
if (k > 0) {
L130:
if (iwork[k] < 0) {
if (iwork[k] != -k) {
k = -iwork[k];
goto L130;
}
} else if (iwork[k] != k) {
k = iwork[k];
goto L130;
}
}
/* Check the error code from DSPSVX. */
if (info != k) {
/* 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, "DSPSVX", &info, &k, ch__1, &n, &n, &
c_n1, &c_n1, nrhs, &imat, &nfail, &nerrs,
nout);
goto L150;
}
if (info == 0) {
if (ifact >= 2) {
/* Reconstruct matrix from factors and compute */
/* residual. */
dspt01_(uplo, &n, &a[1], &afac[1], &iwork[1], &
ainv[1], &lda, &rwork[(*nrhs << 1) + 1],
result);
k1 = 1;
} else {
k1 = 2;
}
/* Compute residual of the computed solution. */
dlacpy_("Full", &n, nrhs, &b[1], &lda, &work[1], &lda);
dppt02_(uplo, &n, nrhs, &a[1], &x[1], &lda, &work[1],
&lda, &rwork[(*nrhs << 1) + 1], &result[1]);
/* Check solution from generated exact solution. */
dget04_(&n, nrhs, &x[1], &lda, &xact[1], &lda, &
rcondc, &result[2]);
/* Check the error bounds from iterative refinement. */
dppt05_(uplo, &n, nrhs, &a[1], &b[1], &lda, &x[1], &
lda, &xact[1], &lda, &rwork[1], &rwork[*nrhs
+ 1], &result[3]);
} else {
k1 = 6;
}
/* Compare RCOND from DSPSVX 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);
}
io___44.ciunit = *nout;
s_wsfe(&io___44);
do_fio(&c__1, "DSPSVX", (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;
}
/* L140: */
}
nrun = nrun + 7 - k1;
L150:
;
}
L160:
;
}
L170:
;
}
/* L180: */
}
/* Print a summary of the results. */
alasvm_(path, nout, &nfail, &nrun, &nerrs);
return 0;
/* End of DDRVSP */
} /* ddrvsp_ */
/* Subroutine */ int cchkgt_(logical *dotype, integer *nn, integer *nval,
integer *nns, integer *nsval, real *thresh, logical *tsterr, complex *
a, complex *af, complex *b, complex *x, complex *xact, complex *work,
real *rwork, integer *iwork, integer *nout)
{
/* Initialized data */
static integer iseedy[4] = { 0,0,0,1 };
static char transs[1*3] = "N" "T" "C";
/* Format strings */
static char fmt_9999[] = "(12x,\002N =\002,i5,\002,\002,10x,\002 type"
" \002,i2,\002, test(\002,i2,\002) = \002,g12.5)";
static char fmt_9997[] = "(\002 NORM ='\002,a1,\002', N =\002,i5,\002"
",\002,10x,\002 type \002,i2,\002, test(\002,i2,\002) = \002,g12."
"5)";
static char fmt_9998[] = "(\002 TRANS='\002,a1,\002', N =\002,i5,\002, N"
"RHS=\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, i__5;
real r__1, r__2;
/* 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 real cond;
static integer mode, koff, imat, info;
static char path[3], dist[1];
static integer irhs, nrhs;
static char norm[1], type__[1];
static integer nrun, i__, j, k;
extern /* Subroutine */ int alahd_(integer *, char *);
static integer m, n;
extern /* Subroutine */ int cget04_(integer *, integer *, complex *,
integer *, complex *, integer *, real *, real *);
static integer nfail, iseed[4];
static complex z__[3];
extern /* Subroutine */ int cgtt01_(integer *, complex *, complex *,
complex *, complex *, complex *, complex *, complex *, integer *,
complex *, integer *, real *, real *), cgtt02_(char *, integer *,
integer *, complex *, complex *, complex *, complex *, integer *,
complex *, integer *, real *, real *);
static real rcond;
extern /* Subroutine */ int cgtt05_(char *, integer *, integer *, complex
*, complex *, complex *, complex *, integer *, complex *, integer
*, complex *, integer *, real *, real *, real *);
static integer nimat;
extern doublereal sget06_(real *, real *);
static real anorm;
static integer itran;
extern /* Subroutine */ int ccopy_(integer *, complex *, integer *,
complex *, integer *);
static char trans[1];
static integer izero, nerrs;
static logical zerot;
extern /* Subroutine */ int clatb4_(char *, integer *, integer *, integer
*, char *, integer *, integer *, real *, integer *, real *, 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;
extern /* Subroutine */ int cerrge_(char *, integer *);
static real rcondc;
extern doublereal clangt_(char *, integer *, complex *, complex *,
complex *);
extern /* Subroutine */ int clagtm_(char *, integer *, integer *, real *,
complex *, complex *, complex *, complex *, integer *, real *,
complex *, integer *), clacpy_(char *, integer *, integer
*, complex *, integer *, complex *, integer *), csscal_(
integer *, real *, complex *, integer *), cgtcon_(char *, integer
*, complex *, complex *, complex *, complex *, integer *, real *,
real *, complex *, integer *);
static real rcondi;
extern /* Subroutine */ int alasum_(char *, integer *, integer *, integer
*, integer *);
static real rcondo;
extern /* Subroutine */ int clarnv_(integer *, integer *, integer *,
complex *), clatms_(integer *, integer *, char *, integer *, char
*, real *, integer *, real *, real *, integer *, integer *, char *
, complex *, integer *, complex *, integer *);
static real ainvnm;
extern /* Subroutine */ int cgtrfs_(char *, integer *, integer *, complex
*, complex *, complex *, complex *, complex *, complex *, complex
*, integer *, complex *, integer *, complex *, integer *, real *,
real *, complex *, real *, integer *), cgttrf_(integer *,
complex *, complex *, complex *, complex *, integer *, integer *);
static logical trfcon;
extern doublereal scasum_(integer *, complex *, integer *);
extern /* Subroutine */ int cgttrs_(char *, integer *, integer *, complex
*, complex *, complex *, complex *, integer *, complex *, integer
*, integer *);
static real result[7];
static integer lda;
/* Fortran I/O blocks */
static cilist io___29 = { 0, 0, 0, fmt_9999, 0 };
static cilist io___39 = { 0, 0, 0, fmt_9997, 0 };
static cilist io___44 = { 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
=======
CCHKGT tests CGTTRF, -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) 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.
A (workspace) COMPLEX array, dimension (NMAX*4)
AF (workspace) COMPLEX array, dimension (NMAX*4)
B (workspace) COMPLEX array, dimension (NMAX*NSMAX)
where NSMAX is the largest entry in NSVAL.
X (workspace) COMPLEX array, dimension (NMAX*NSMAX)
XACT (workspace) COMPLEX array, dimension (NMAX*NSMAX)
WORK (workspace) COMPLEX array, dimension
(NMAX*max(3,NSMAX))
RWORK (workspace) REAL array, dimension
(max(NMAX)+2*NSMAX)
IWORK (workspace) INTEGER array, dimension (NMAX)
NOUT (input) INTEGER
The unit number for output.
=====================================================================
Parameter adjustments */
--iwork;
--rwork;
--work;
--xact;
--x;
--b;
--af;
--a;
--nsval;
--nval;
--dotype;
/* Function Body */
s_copy(path, "Complex precision", (ftnlen)1, (ftnlen)17);
s_copy(path + 1, "GT", (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) {
cerrge_(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];
/* Computing MAX */
i__2 = n - 1;
m = max(i__2,0);
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 (! dotype[imat]) {
goto L100;
}
/* Set up parameters with CLATB4. */
clatb4_(path, &imat, &n, &n, type__, &kl, &ku, &anorm, &mode, &
cond, dist);
zerot = imat >= 8 && imat <= 10;
if (imat <= 6) {
/* Types 1-6: generate matrices of known condition number.
Computing MAX */
i__3 = 2 - ku, i__4 = 3 - max(1,n);
koff = max(i__3,i__4);
s_copy(srnamc_1.srnamt, "CLATMS", (ftnlen)6, (ftnlen)6);
clatms_(&n, &n, dist, iseed, type__, &rwork[1], &mode, &cond,
&anorm, &kl, &ku, "Z", &af[koff], &c__3, &work[1], &
info);
/* Check the error code from CLATMS. */
if (info != 0) {
alaerh_(path, "CLATMS", &info, &c__0, " ", &n, &n, &kl, &
ku, &c_n1, &imat, &nfail, &nerrs, nout);
goto L100;
}
izero = 0;
if (n > 1) {
i__3 = n - 1;
ccopy_(&i__3, &af[4], &c__3, &a[1], &c__1);
i__3 = n - 1;
ccopy_(&i__3, &af[3], &c__3, &a[n + m + 1], &c__1);
}
ccopy_(&n, &af[2], &c__3, &a[m + 1], &c__1);
} else {
/* Types 7-12: generate tridiagonal matrices with
unknown condition numbers. */
if (! zerot || ! dotype[7]) {
/* Generate a matrix with elements whose real and
imaginary parts are from [-1,1]. */
i__3 = n + (m << 1);
clarnv_(&c__2, iseed, &i__3, &a[1]);
if (anorm != 1.f) {
i__3 = n + (m << 1);
csscal_(&i__3, &anorm, &a[1], &c__1);
}
} else if (izero > 0) {
/* Reuse the last matrix by copying back the zeroed out
elements. */
if (izero == 1) {
i__3 = n;
a[i__3].r = z__[1].r, a[i__3].i = z__[1].i;
if (n > 1) {
a[1].r = z__[2].r, a[1].i = z__[2].i;
}
} else if (izero == n) {
i__3 = n * 3 - 2;
a[i__3].r = z__[0].r, a[i__3].i = z__[0].i;
i__3 = (n << 1) - 1;
a[i__3].r = z__[1].r, a[i__3].i = z__[1].i;
} else {
i__3 = (n << 1) - 2 + izero;
a[i__3].r = z__[0].r, a[i__3].i = z__[0].i;
i__3 = n - 1 + izero;
a[i__3].r = z__[1].r, a[i__3].i = z__[1].i;
i__3 = izero;
a[i__3].r = z__[2].r, a[i__3].i = z__[2].i;
}
}
/* If IMAT > 7, set one column of the matrix to 0. */
if (! zerot) {
izero = 0;
} else if (imat == 8) {
izero = 1;
i__3 = n;
z__[1].r = a[i__3].r, z__[1].i = a[i__3].i;
i__3 = n;
a[i__3].r = 0.f, a[i__3].i = 0.f;
if (n > 1) {
z__[2].r = a[1].r, z__[2].i = a[1].i;
a[1].r = 0.f, a[1].i = 0.f;
}
} else if (imat == 9) {
izero = n;
i__3 = n * 3 - 2;
z__[0].r = a[i__3].r, z__[0].i = a[i__3].i;
i__3 = (n << 1) - 1;
z__[1].r = a[i__3].r, z__[1].i = a[i__3].i;
i__3 = n * 3 - 2;
a[i__3].r = 0.f, a[i__3].i = 0.f;
i__3 = (n << 1) - 1;
a[i__3].r = 0.f, a[i__3].i = 0.f;
} else {
izero = (n + 1) / 2;
i__3 = n - 1;
for (i__ = izero; i__ <= i__3; ++i__) {
i__4 = (n << 1) - 2 + i__;
a[i__4].r = 0.f, a[i__4].i = 0.f;
i__4 = n - 1 + i__;
a[i__4].r = 0.f, a[i__4].i = 0.f;
i__4 = i__;
a[i__4].r = 0.f, a[i__4].i = 0.f;
/* L20: */
}
i__3 = n * 3 - 2;
a[i__3].r = 0.f, a[i__3].i = 0.f;
i__3 = (n << 1) - 1;
a[i__3].r = 0.f, a[i__3].i = 0.f;
}
}
/* + TEST 1
Factor A as L*U and compute the ratio
norm(L*U - A) / (n * norm(A) * EPS ) */
i__3 = n + (m << 1);
ccopy_(&i__3, &a[1], &c__1, &af[1], &c__1);
s_copy(srnamc_1.srnamt, "CGTTRF", (ftnlen)6, (ftnlen)6);
cgttrf_(&n, &af[1], &af[m + 1], &af[n + m + 1], &af[n + (m << 1)
+ 1], &iwork[1], &info);
/* Check error code from CGTTRF. */
if (info != izero) {
alaerh_(path, "CGTTRF", &info, &izero, " ", &n, &n, &c__1, &
c__1, &c_n1, &imat, &nfail, &nerrs, nout);
}
trfcon = info != 0;
cgtt01_(&n, &a[1], &a[m + 1], &a[n + m + 1], &af[1], &af[m + 1], &
af[n + m + 1], &af[n + (m << 1) + 1], &iwork[1], &work[1],
&lda, &rwork[1], result);
/* Print the test ratio if it is .GE. THRESH. */
if (result[0] >= *thresh) {
if (nfail == 0 && nerrs == 0) {
alahd_(nout, path);
}
io___29.ciunit = *nout;
s_wsfe(&io___29);
do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&imat, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&c__1, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&result[0], (ftnlen)sizeof(real));
e_wsfe();
++nfail;
}
++nrun;
for (itran = 1; itran <= 2; ++itran) {
*(unsigned char *)trans = *(unsigned char *)&transs[itran - 1]
;
if (itran == 1) {
*(unsigned char *)norm = 'O';
} else {
*(unsigned char *)norm = 'I';
}
anorm = clangt_(norm, &n, &a[1], &a[m + 1], &a[n + m + 1]);
if (! trfcon) {
/* Use CGTTRS to solve for one column at a time of
inv(A), computing the maximum column sum as we go. */
ainvnm = 0.f;
i__3 = n;
for (i__ = 1; i__ <= i__3; ++i__) {
i__4 = n;
for (j = 1; j <= i__4; ++j) {
i__5 = j;
x[i__5].r = 0.f, x[i__5].i = 0.f;
/* L30: */
}
i__4 = i__;
x[i__4].r = 1.f, x[i__4].i = 0.f;
cgttrs_(trans, &n, &c__1, &af[1], &af[m + 1], &af[n +
m + 1], &af[n + (m << 1) + 1], &iwork[1], &x[
1], &lda, &info);
/* Computing MAX */
r__1 = ainvnm, r__2 = scasum_(&n, &x[1], &c__1);
ainvnm = dmax(r__1,r__2);
/* L40: */
}
/* Compute RCONDC = 1 / (norm(A) * norm(inv(A)) */
if (anorm <= 0.f || ainvnm <= 0.f) {
rcondc = 1.f;
} else {
rcondc = 1.f / anorm / ainvnm;
}
if (itran == 1) {
rcondo = rcondc;
} else {
rcondi = rcondc;
}
} else {
rcondc = 0.f;
}
/* + TEST 7
Estimate the reciprocal of the condition number of the
matrix. */
s_copy(srnamc_1.srnamt, "CGTCON", (ftnlen)6, (ftnlen)6);
cgtcon_(norm, &n, &af[1], &af[m + 1], &af[n + m + 1], &af[n +
(m << 1) + 1], &iwork[1], &anorm, &rcond, &work[1], &
info);
/* Check error code from CGTCON. */
if (info != 0) {
alaerh_(path, "CGTCON", &info, &c__0, norm, &n, &n, &c_n1,
&c_n1, &c_n1, &imat, &nfail, &nerrs, nout);
}
result[6] = sget06_(&rcond, &rcondc);
/* Print the test ratio if it is .GE. THRESH. */
if (result[6] >= *thresh) {
if (nfail == 0 && nerrs == 0) {
alahd_(nout, path);
}
io___39.ciunit = *nout;
s_wsfe(&io___39);
do_fio(&c__1, norm, (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__7, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&result[6], (ftnlen)sizeof(real));
e_wsfe();
++nfail;
}
++nrun;
/* L50: */
}
/* Skip the remaining tests if the matrix is singular. */
if (trfcon) {
goto L100;
}
i__3 = *nns;
for (irhs = 1; irhs <= i__3; ++irhs) {
nrhs = nsval[irhs];
/* Generate NRHS random solution vectors. */
ix = 1;
i__4 = nrhs;
for (j = 1; j <= i__4; ++j) {
clarnv_(&c__2, iseed, &n, &xact[ix]);
ix += lda;
/* L60: */
}
for (itran = 1; itran <= 3; ++itran) {
*(unsigned char *)trans = *(unsigned char *)&transs[itran
- 1];
if (itran == 1) {
rcondc = rcondo;
} else {
rcondc = rcondi;
}
/* Set the right hand side. */
clagtm_(trans, &n, &nrhs, &c_b63, &a[1], &a[m + 1], &a[n
+ m + 1], &xact[1], &lda, &c_b64, &b[1], &lda);
/* + TEST 2
Solve op(A) * X = B and compute the residual. */
clacpy_("Full", &n, &nrhs, &b[1], &lda, &x[1], &lda);
s_copy(srnamc_1.srnamt, "CGTTRS", (ftnlen)6, (ftnlen)6);
cgttrs_(trans, &n, &nrhs, &af[1], &af[m + 1], &af[n + m +
1], &af[n + (m << 1) + 1], &iwork[1], &x[1], &lda,
&info);
/* Check error code from CGTTRS. */
if (info != 0) {
alaerh_(path, "CGTTRS", &info, &c__0, trans, &n, &n, &
c_n1, &c_n1, &nrhs, &imat, &nfail, &nerrs,
nout);
}
clacpy_("Full", &n, &nrhs, &b[1], &lda, &work[1], &lda);
cgtt02_(trans, &n, &nrhs, &a[1], &a[m + 1], &a[n + m + 1],
&x[1], &lda, &work[1], &lda, &rwork[1], &result[
1]);
/* + TEST 3
Check solution from generated exact solution. */
cget04_(&n, &nrhs, &x[1], &lda, &xact[1], &lda, &rcondc, &
result[2]);
/* + TESTS 4, 5, and 6
Use iterative refinement to improve the solution. */
s_copy(srnamc_1.srnamt, "CGTRFS", (ftnlen)6, (ftnlen)6);
cgtrfs_(trans, &n, &nrhs, &a[1], &a[m + 1], &a[n + m + 1],
&af[1], &af[m + 1], &af[n + m + 1], &af[n + (m <<
1) + 1], &iwork[1], &b[1], &lda, &x[1], &lda, &
rwork[1], &rwork[nrhs + 1], &work[1], &rwork[(
nrhs << 1) + 1], &info);
/* Check error code from CGTRFS. */
if (info != 0) {
alaerh_(path, "CGTRFS", &info, &c__0, trans, &n, &n, &
c_n1, &c_n1, &nrhs, &imat, &nfail, &nerrs,
nout);
}
cget04_(&n, &nrhs, &x[1], &lda, &xact[1], &lda, &rcondc, &
result[3]);
cgtt05_(trans, &n, &nrhs, &a[1], &a[m + 1], &a[n + m + 1],
&b[1], &lda, &x[1], &lda, &xact[1], &lda, &rwork[
1], &rwork[nrhs + 1], &result[4]);
/* Print information about the tests that did not pass the
threshold. */
for (k = 2; k <= 6; ++k) {
if (result[k - 1] >= *thresh) {
if (nfail == 0 && nerrs == 0) {
alahd_(nout, path);
}
io___44.ciunit = *nout;
s_wsfe(&io___44);
do_fio(&c__1, trans, (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(real));
e_wsfe();
++nfail;
}
/* L70: */
}
nrun += 5;
/* L80: */
}
/* L90: */
}
L100:
;
}
/* L110: */
}
/* Print a summary of the results. */
alasum_(path, nout, &nfail, &nrun, &nerrs);
return 0;
/* End of CCHKGT */
} /* cchkgt_ */
/* Subroutine */ int dchkpp_(logical *dotype, integer *nn, integer *nval,
integer *nns, integer *nsval, doublereal *thresh, logical *tsterr,
integer *nmax, doublereal *a, doublereal *afac, doublereal *ainv,
doublereal *b, doublereal *x, doublereal *xact, doublereal *work,
doublereal *rwork, integer *iwork, integer *nout)
{
/* Initialized data */
static integer iseedy[4] = { 1988,1989,1990,1991 };
static char uplos[1*2] = "U" "L";
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;
/* Builtin functions */
/* Subroutine */ int s_copy(char *, char *, ftnlen, ftnlen);
integer s_wsfe(cilist *), do_fio(integer *, char *, ftnlen), e_wsfe(void);
/* Local variables */
integer i__, k, n, in, kl, ku, lda, npp, ioff, mode, imat, info;
char path[3], dist[1];
integer irhs, nrhs;
char uplo[1], type__[1];
integer nrun;
extern /* Subroutine */ int alahd_(integer *, char *), dget04_(
integer *, integer *, doublereal *, integer *, doublereal *,
integer *, doublereal *, doublereal *);
integer nfail, iseed[4];
extern doublereal dget06_(doublereal *, doublereal *);
doublereal rcond;
integer nimat;
extern /* Subroutine */ int dppt01_(char *, integer *, doublereal *,
doublereal *, doublereal *, doublereal *), dppt02_(char *,
integer *, integer *, doublereal *, doublereal *, integer *,
doublereal *, integer *, doublereal *, doublereal *),
dppt03_(char *, integer *, doublereal *, doublereal *, doublereal
*, integer *, doublereal *, doublereal *, doublereal *);
doublereal anorm;
extern /* Subroutine */ int dppt05_(char *, integer *, integer *,
doublereal *, doublereal *, integer *, doublereal *, integer *,
doublereal *, integer *, doublereal *, doublereal *, doublereal *), dcopy_(integer *, doublereal *, integer *, doublereal *,
integer *);
integer iuplo, izero, nerrs;
logical zerot;
char xtype[1];
extern /* Subroutine */ int dlatb4_(char *, integer *, integer *, integer
*, char *, integer *, integer *, doublereal *, integer *,
doublereal *, char *), alaerh_(char *,
char *, integer *, integer *, char *, integer *, integer *,
integer *, integer *, integer *, integer *, integer *, integer *,
integer *);
doublereal rcondc;
char packit[1];
extern /* Subroutine */ int dlacpy_(char *, integer *, integer *,
doublereal *, integer *, doublereal *, integer *),
dlarhs_(char *, char *, char *, char *, integer *, integer *,
integer *, integer *, integer *, doublereal *, integer *,
doublereal *, integer *, doublereal *, integer *, integer *,
integer *);
extern doublereal dlansp_(char *, char *, integer *, doublereal *,
doublereal *);
extern /* Subroutine */ int alasum_(char *, integer *, integer *, integer
*, integer *);
doublereal cndnum;
extern /* Subroutine */ int dlatms_(integer *, integer *, char *, integer
*, char *, doublereal *, integer *, doublereal *, doublereal *,
integer *, integer *, char *, doublereal *, integer *, doublereal
*, integer *), dppcon_(char *, integer *,
doublereal *, doublereal *, doublereal *, doublereal *, integer *,
integer *), derrpo_(char *, integer *), dpprfs_(
char *, integer *, integer *, doublereal *, doublereal *,
doublereal *, integer *, doublereal *, integer *, doublereal *,
doublereal *, doublereal *, integer *, integer *),
dpptrf_(char *, integer *, doublereal *, integer *),
dpptri_(char *, integer *, doublereal *, integer *),
dpptrs_(char *, integer *, integer *, doublereal *, doublereal *,
integer *, integer *);
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 */
/* ======= */
/* DCHKPP tests DPPTRF, -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) DOUBLE PRECISION array, dimension */
/* (NMAX*(NMAX+1)/2) */
/* AFAC (workspace) DOUBLE PRECISION array, dimension */
/* (NMAX*(NMAX+1)/2) */
/* AINV (workspace) DOUBLE PRECISION array, dimension */
/* (NMAX*(NMAX+1)/2) */
/* B (workspace) DOUBLE PRECISION array, dimension (NMAX*NSMAX) */
/* where NSMAX is the largest entry in NSVAL. */
/* X (workspace) DOUBLE PRECISION array, dimension (NMAX*NSMAX) */
/* XACT (workspace) DOUBLE PRECISION array, dimension (NMAX*NSMAX) */
/* WORK (workspace) DOUBLE PRECISION array, dimension */
/* (NMAX*max(3,NSMAX)) */
/* RWORK (workspace) DOUBLE PRECISION array, dimension */
/* (max(NMAX,2*NSMAX)) */
/* IWORK (workspace) INTEGER array, dimension (NMAX) */
/* NOUT (input) INTEGER */
/* The unit number for output. */
/* ===================================================================== */
/* .. Parameters .. */
/* .. */
/* .. Local Scalars .. */
/* .. */
/* .. Local Arrays .. */
/* .. */
/* .. External Functions .. */
/* .. */
/* .. External Subroutines .. */
/* .. */
/* .. Scalars in Common .. */
/* .. */
/* .. Common blocks .. */
/* .. */
/* .. Intrinsic Functions .. */
/* .. */
/* .. Data statements .. */
/* Parameter adjustments */
--iwork;
--rwork;
--work;
--xact;
--x;
--b;
--ainv;
--afac;
--a;
--nsval;
--nval;
--dotype;
/* Function Body */
/* .. */
/* .. Executable Statements .. */
/* Initialize constants and the random number seed. */
s_copy(path, "Double precision", (ftnlen)1, (ftnlen)16);
s_copy(path + 1, "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) {
derrpo_(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 DLATB4 and generate a test matrix */
/* with DLATMS. */
dlatb4_(path, &imat, &n, &n, type__, &kl, &ku, &anorm, &mode,
&cndnum, dist);
s_copy(srnamc_1.srnamt, "DLATMS", (ftnlen)32, (ftnlen)6);
dlatms_(&n, &n, dist, iseed, type__, &rwork[1], &mode, &
cndnum, &anorm, &kl, &ku, packit, &a[1], &lda, &work[
1], &info);
/* Check error code from DLATMS. */
if (info != 0) {
alaerh_(path, "DLATMS", &info, &c__0, uplo, &n, &n, &c_n1,
&c_n1, &c_n1, &imat, &nfail, &nerrs, nout);
goto 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__) {
a[ioff + i__] = 0.;
/* L20: */
}
ioff += izero;
i__3 = n;
for (i__ = izero; i__ <= i__3; ++i__) {
a[ioff] = 0.;
ioff += i__;
/* L30: */
}
} else {
ioff = izero;
i__3 = izero - 1;
for (i__ = 1; i__ <= i__3; ++i__) {
a[ioff] = 0.;
ioff = ioff + n - i__;
/* L40: */
}
ioff -= izero;
i__3 = n;
for (i__ = izero; i__ <= i__3; ++i__) {
a[ioff + i__] = 0.;
/* L50: */
}
}
} else {
izero = 0;
}
/* Compute the L*L' or U'*U factorization of the matrix. */
npp = n * (n + 1) / 2;
dcopy_(&npp, &a[1], &c__1, &afac[1], &c__1);
s_copy(srnamc_1.srnamt, "DPPTRF", (ftnlen)32, (ftnlen)6);
dpptrf_(uplo, &n, &afac[1], &info);
/* Check error code from DPPTRF. */
if (info != izero) {
alaerh_(path, "DPPTRF", &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. */
dcopy_(&npp, &afac[1], &c__1, &ainv[1], &c__1);
dppt01_(uplo, &n, &a[1], &ainv[1], &rwork[1], result);
/* + TEST 2 */
/* Form the inverse and compute the residual. */
dcopy_(&npp, &afac[1], &c__1, &ainv[1], &c__1);
s_copy(srnamc_1.srnamt, "DPPTRI", (ftnlen)32, (ftnlen)6);
dpptri_(uplo, &n, &ainv[1], &info);
/* Check error code from DPPTRI. */
if (info != 0) {
alaerh_(path, "DPPTRI", &info, &c__0, uplo, &n, &n, &c_n1,
&c_n1, &c_n1, &imat, &nfail, &nerrs, nout);
}
dppt03_(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, "DLARHS", (ftnlen)32, (ftnlen)6);
dlarhs_(path, xtype, uplo, " ", &n, &n, &kl, &ku, &nrhs, &
a[1], &lda, &xact[1], &lda, &b[1], &lda, iseed, &
info);
dlacpy_("Full", &n, &nrhs, &b[1], &lda, &x[1], &lda);
s_copy(srnamc_1.srnamt, "DPPTRS", (ftnlen)32, (ftnlen)6);
dpptrs_(uplo, &n, &nrhs, &afac[1], &x[1], &lda, &info);
/* Check error code from DPPTRS. */
if (info != 0) {
alaerh_(path, "DPPTRS", &info, &c__0, uplo, &n, &n, &
c_n1, &c_n1, &nrhs, &imat, &nfail, &nerrs,
nout);
}
dlacpy_("Full", &n, &nrhs, &b[1], &lda, &work[1], &lda);
dppt02_(uplo, &n, &nrhs, &a[1], &x[1], &lda, &work[1], &
lda, &rwork[1], &result[2]);
/* + TEST 4 */
/* Check solution from generated exact solution. */
dget04_(&n, &nrhs, &x[1], &lda, &xact[1], &lda, &rcondc, &
result[3]);
/* + TESTS 5, 6, and 7 */
/* Use iterative refinement to improve the solution. */
s_copy(srnamc_1.srnamt, "DPPRFS", (ftnlen)32, (ftnlen)6);
dpprfs_(uplo, &n, &nrhs, &a[1], &afac[1], &b[1], &lda, &x[
1], &lda, &rwork[1], &rwork[nrhs + 1], &work[1], &
iwork[1], &info);
/* Check error code from DPPRFS. */
if (info != 0) {
alaerh_(path, "DPPRFS", &info, &c__0, uplo, &n, &n, &
c_n1, &c_n1, &nrhs, &imat, &nfail, &nerrs,
nout);
}
dget04_(&n, &nrhs, &x[1], &lda, &xact[1], &lda, &rcondc, &
result[4]);
dppt05_(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 = dlansp_("1", uplo, &n, &a[1], &rwork[1]);
s_copy(srnamc_1.srnamt, "DPPCON", (ftnlen)32, (ftnlen)6);
dppcon_(uplo, &n, &afac[1], &anorm, &rcond, &work[1], &iwork[
1], &info);
/* Check error code from DPPCON. */
if (info != 0) {
alaerh_(path, "DPPCON", &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 DCHKPP */
} /* dchkpp_ */
/* Subroutine */ int ddrvac_(logical *dotype, integer *nm, integer *mval,
integer *nns, integer *nsval, doublereal *thresh, integer *nmax,
doublereal *a, doublereal *afac, doublereal *b, doublereal *x,
doublereal *work, doublereal *rwork, real *swork, integer *nout)
{
/* Initialized data */
static integer iseedy[4] = { 1988,1989,1990,1991 };
static char uplos[1*2] = "U" "L";
/* Format strings */
static char fmt_9988[] = "(\002 *** \002,a6,\002 returned with INFO ="
"\002,i5,\002 instead of \002,i5,/\002 ==> N =\002,i5,\002, type"
" \002,i2)";
static char fmt_9975[] = "(\002 *** Error code from \002,a6,\002=\002,"
"i5,\002 for M=\002,i5,\002, type \002,i2)";
static char fmt_8999[] = "(/1x,a3,\002: positive definite dense matri"
"ces\002)";
static char fmt_8979[] = "(4x,\0021. Diagonal\002,24x,\0027. Last n/2 co"
"lumns zero\002,/4x,\0022. Upper triangular\002,16x,\0028. Random"
", CNDNUM = sqrt(0.1/EPS)\002,/4x,\0023. Lower triangular\002,16x,"
"\0029. Random, CNDNUM = 0.1/EPS\002,/4x,\0024. Random, CNDNUM = 2"
"\002,13x,\00210. Scaled near underflow\002,/4x,\0025. First colu"
"mn zero\002,14x,\00211. Scaled near overflow\002,/4x,\0026. Last"
" column zero\002)";
static char fmt_8960[] = "(3x,i2,\002: norm_1( B - A * X ) / \002,\002("
" norm_1(A) * norm_1(X) * EPS * SQRT(N) ) > 1 if ITERREF\002,/4x"
",\002or norm_1( B - A * X ) / \002,\002( norm_1(A) * norm_1(X) "
"* EPS ) > THRES if DPOTRF\002)";
static char fmt_9998[] = "(\002 UPLO='\002,a1,\002', N =\002,i5,\002, NR"
"HS=\002,i3,\002, type \002,i2,\002, test(\002,i2,\002) =\002,g12"
".5)";
static char fmt_9996[] = "(1x,a6,\002: \002,i6,\002 out of \002,i6,\002 "
"tests failed to pass the threshold\002)";
static char fmt_9995[] = "(/1x,\002All tests for \002,a6,\002 routines p"
"assed the threshold (\002,i6,\002 tests run)\002)";
static char fmt_9994[] = "(6x,i6,\002 error messages recorded\002)";
/* System generated locals */
integer i__1, i__2, i__3;
cilist ci__1;
/* Local variables */
integer i__, n, im, kl, ku, lda, ioff, mode, kase, imat, info;
char path[3], dist[1];
integer irhs, iter, nrhs;
char uplo[1], type__[1];
integer nrun;
integer nfail, iseed[4], nimat;
doublereal anorm;
integer iuplo, izero, nerrs;
logical zerot;
char xtype[1];
doublereal cndnum;
doublereal result[1];
/* Fortran I/O blocks */
static cilist io___32 = { 0, 0, 0, fmt_9988, 0 };
static cilist io___33 = { 0, 0, 0, fmt_9975, 0 };
static cilist io___35 = { 0, 0, 0, fmt_8999, 0 };
static cilist io___36 = { 0, 0, 0, fmt_8979, 0 };
static cilist io___37 = { 0, 0, 0, fmt_8960, 0 };
static cilist io___38 = { 0, 0, 0, fmt_9998, 0 };
static cilist io___39 = { 0, 0, 0, fmt_9996, 0 };
static cilist io___40 = { 0, 0, 0, fmt_9995, 0 };
static cilist io___41 = { 0, 0, 0, fmt_9994, 0 };
/* -- LAPACK test routine (version 3.1.2) -- */
/* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */
/* April 2007 */
/* .. Scalar Arguments .. */
/* .. */
/* .. Array Arguments .. */
/* .. */
/* Purpose */
/* ======= */
/* DDRVAC tests DSPOSV. */
/* 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. */
/* NM (input) INTEGER */
/* The number of values of N contained in the vector MVAL. */
/* MVAL (input) INTEGER array, dimension (NM) */
/* 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. */
/* NMAX (input) INTEGER */
/* The maximum value permitted for N, used in dimensioning the */
/* work arrays. */
/* A (workspace) DOUBLE PRECISION array, dimension (NMAX*NMAX) */
/* AFAC (workspace) DOUBLE PRECISION array, dimension (NMAX*NMAX) */
/* B (workspace) DOUBLE PRECISION array, dimension (NMAX*NSMAX) */
/* X (workspace) DOUBLE PRECISION array, dimension (NMAX*NSMAX) */
/* WORK (workspace) DOUBLE PRECISION array, dimension */
/* (NMAX*max(3,NSMAX)) */
/* RWORK (workspace) DOUBLE PRECISION array, dimension */
/* (max(2*NMAX,2*NSMAX+NWORK)) */
/* SWORK (workspace) REAL array, dimension */
/* (NMAX*(NSMAX+NMAX)) */
/* NOUT (input) INTEGER */
/* The unit number for output. */
/* ===================================================================== */
/* .. Parameters .. */
/* .. */
/* .. Local Scalars .. */
/* .. */
/* .. Local Arrays .. */
/* .. */
/* .. Local Variables .. */
/* .. */
/* .. External Functions .. */
/* .. */
/* .. External Subroutines .. */
/* .. */
/* .. Intrinsic Functions .. */
/* .. */
/* .. Scalars in Common .. */
/* .. */
/* .. Common blocks .. */
/* .. */
/* .. Data statements .. */
/* Parameter adjustments */
--swork;
--rwork;
--work;
--x;
--b;
--afac;
--a;
--nsval;
--mval;
--dotype;
/* Function Body */
/* .. */
/* .. Executable Statements .. */
/* Initialize constants and the random number seed. */
kase = 0;
s_copy(path, "Double precision", (ftnlen)1, (ftnlen)16);
s_copy(path + 1, "PO", (ftnlen)2, (ftnlen)2);
nrun = 0;
nfail = 0;
nerrs = 0;
for (i__ = 1; i__ <= 4; ++i__) {
iseed[i__ - 1] = iseedy[i__ - 1];
/* L10: */
}
infoc_1.infot = 0;
/* Do for each value of N in MVAL */
i__1 = *nm;
for (im = 1; im <= i__1; ++im) {
n = mval[im];
lda = max(n,1);
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 L110;
}
/* Skip types 3, 4, or 5 if the matrix size is too small. */
zerot = imat >= 3 && imat <= 5;
if (zerot && n < imat - 2) {
goto L110;
}
/* Do first for UPLO = 'U', then for UPLO = 'L' */
for (iuplo = 1; iuplo <= 2; ++iuplo) {
*(unsigned char *)uplo = *(unsigned char *)&uplos[iuplo - 1];
/* Set up parameters with DLATB4 and generate a test matrix */
/* with DLATMS. */
dlatb4_(path, &imat, &n, &n, type__, &kl, &ku, &anorm, &mode,
&cndnum, dist);
s_copy(srnamc_1.srnamt, "DLATMS", (ftnlen)32, (ftnlen)6);
dlatms_(&n, &n, dist, iseed, type__, &rwork[1], &mode, &
cndnum, &anorm, &kl, &ku, uplo, &a[1], &lda, &work[1],
&info);
/* Check error code from DLATMS. */
if (info != 0) {
alaerh_(path, "DLATMS", &info, &c__0, uplo, &n, &n, &c_n1,
&c_n1, &c_n1, &imat, &nfail, &nerrs, nout);
goto L100;
}
/* For types 3-5, zero one row and column of the matrix to */
/* test that INFO is returned correctly. */
if (zerot) {
if (imat == 3) {
izero = 1;
} else if (imat == 4) {
izero = n;
} else {
izero = n / 2 + 1;
}
ioff = (izero - 1) * lda;
/* Set row and column IZERO of A to 0. */
if (iuplo == 1) {
i__3 = izero - 1;
for (i__ = 1; i__ <= i__3; ++i__) {
a[ioff + i__] = 0.;
/* L20: */
}
ioff += izero;
i__3 = n;
for (i__ = izero; i__ <= i__3; ++i__) {
a[ioff] = 0.;
ioff += lda;
/* L30: */
}
} else {
ioff = izero;
i__3 = izero - 1;
for (i__ = 1; i__ <= i__3; ++i__) {
a[ioff] = 0.;
ioff += lda;
/* L40: */
}
ioff -= izero;
i__3 = n;
for (i__ = izero; i__ <= i__3; ++i__) {
a[ioff + i__] = 0.;
/* L50: */
}
}
} else {
izero = 0;
}
i__3 = *nns;
for (irhs = 1; irhs <= i__3; ++irhs) {
nrhs = nsval[irhs];
*(unsigned char *)xtype = 'N';
/* Form an exact solution and set the right hand side. */
s_copy(srnamc_1.srnamt, "DLARHS", (ftnlen)32, (ftnlen)6);
dlarhs_(path, xtype, uplo, " ", &n, &n, &kl, &ku, &nrhs, &
a[1], &lda, &x[1], &lda, &b[1], &lda, iseed, &
info);
/* Compute the L*L' or U'*U factorization of the */
/* matrix and solve the system. */
s_copy(srnamc_1.srnamt, "DSPOSV ", (ftnlen)32, (ftnlen)7);
++kase;
dlacpy_("All", &n, &n, &a[1], &lda, &afac[1], &lda);
dsposv_(uplo, &n, &nrhs, &afac[1], &lda, &b[1], &lda, &x[
1], &lda, &work[1], &swork[1], &iter, &info);
if (iter < 0) {
dlacpy_("All", &n, &n, &a[1], &lda, &afac[1], &lda);
}
/* Check error code from DSPOSV . */
if (info != izero) {
if (nfail == 0 && nerrs == 0) {
alahd_(nout, path);
}
++nerrs;
if (info != izero && izero != 0) {
io___32.ciunit = *nout;
s_wsfe(&io___32);
do_fio(&c__1, "DSPOSV", (ftnlen)6);
do_fio(&c__1, (char *)&info, (ftnlen)sizeof(
integer));
do_fio(&c__1, (char *)&izero, (ftnlen)sizeof(
integer));
do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer))
;
do_fio(&c__1, (char *)&imat, (ftnlen)sizeof(
integer));
e_wsfe();
} else {
io___33.ciunit = *nout;
s_wsfe(&io___33);
do_fio(&c__1, "DSPOSV", (ftnlen)6);
do_fio(&c__1, (char *)&info, (ftnlen)sizeof(
integer));
do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer))
;
do_fio(&c__1, (char *)&imat, (ftnlen)sizeof(
integer));
e_wsfe();
}
}
/* Skip the remaining test if the matrix is singular. */
if (info != 0) {
goto L110;
}
/* Check the quality of the solution */
dlacpy_("All", &n, &nrhs, &b[1], &lda, &work[1], &lda);
dpot06_(uplo, &n, &nrhs, &a[1], &lda, &x[1], &lda, &work[
1], &lda, &rwork[1], result);
/* Check if the test passes the tesing. */
/* Print information about the tests that did not */
/* pass the testing. */
/* If iterative refinement has been used and claimed to */
/* be successful (ITER>0), we want */
/* NORM1(B - A*X)/(NORM1(A)*NORM1(X)*EPS*SRQT(N)) < 1 */
/* If double precision has been used (ITER<0), we want */
/* NORM1(B - A*X)/(NORM1(A)*NORM1(X)*EPS) < THRES */
/* (Cf. the linear solver testing routines) */
if (*thresh <= 0.f || iter >= 0 && n > 0 && result[0] >=
sqrt((doublereal) n) || iter < 0 && result[0] >= *
thresh) {
if (nfail == 0 && nerrs == 0) {
io___35.ciunit = *nout;
s_wsfe(&io___35);
do_fio(&c__1, "DPO", (ftnlen)3);
e_wsfe();
ci__1.cierr = 0;
ci__1.ciunit = *nout;
ci__1.cifmt = "( ' Matrix types:' )";
s_wsfe(&ci__1);
e_wsfe();
io___36.ciunit = *nout;
s_wsfe(&io___36);
e_wsfe();
ci__1.cierr = 0;
ci__1.ciunit = *nout;
ci__1.cifmt = "( ' Test ratios:' )";
s_wsfe(&ci__1);
e_wsfe();
io___37.ciunit = *nout;
s_wsfe(&io___37);
do_fio(&c__1, (char *)&c__1, (ftnlen)sizeof(
integer));
e_wsfe();
ci__1.cierr = 0;
ci__1.ciunit = *nout;
ci__1.cifmt = "( ' Messages:' )";
s_wsfe(&ci__1);
e_wsfe();
}
io___38.ciunit = *nout;
s_wsfe(&io___38);
do_fio(&c__1, uplo, (ftnlen)1);
do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&nrhs, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&imat, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&c__1, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&result[0], (ftnlen)sizeof(
doublereal));
e_wsfe();
++nfail;
}
++nrun;
/* L60: */
}
L100:
;
}
L110:
;
}
/* L120: */
}
/* L130: */
/* Print a summary of the results. */
if (nfail > 0) {
io___39.ciunit = *nout;
s_wsfe(&io___39);
do_fio(&c__1, "DSPOSV", (ftnlen)6);
do_fio(&c__1, (char *)&nfail, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&nrun, (ftnlen)sizeof(integer));
e_wsfe();
} else {
io___40.ciunit = *nout;
s_wsfe(&io___40);
do_fio(&c__1, "DSPOSV", (ftnlen)6);
do_fio(&c__1, (char *)&nrun, (ftnlen)sizeof(integer));
e_wsfe();
}
if (nerrs > 0) {
io___41.ciunit = *nout;
s_wsfe(&io___41);
do_fio(&c__1, (char *)&nerrs, (ftnlen)sizeof(integer));
e_wsfe();
}
/* SUBNAM, INFO, INFOE, N, IMAT */
/* SUBNAM, INFO, N, IMAT */
return 0;
/* End of DDRVAC */
} /* ddrvac_ */
/* Subroutine */ int schktp_(logical *dotype, integer *nn, integer *nval,
integer *nns, integer *nsval, real *thresh, logical *tsterr, integer *
nmax, real *ap, real *ainvp, real *b, real *x, real *xact, 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 transs[1*3] = "N" "T" "C";
/* Format strings */
static char fmt_9999[] = "(\002 UPLO='\002,a1,\002', DIAG='\002,a1,\002'"
", N=\002,i5,\002, type \002,i2,\002, test(\002,i2,\002)= \002,g1"
"2.5)";
static char fmt_9998[] = "(\002 UPLO='\002,a1,\002', TRANS='\002,a1,\002"
"', DIAG='\002,a1,\002', N=\002,i5,\002', NRHS=\002,i5,\002, type "
"\002,i2,\002, test(\002,i2,\002)= \002,g12.5)";
static char fmt_9997[] = "(1x,a,\002( '\002,a1,\002', '\002,a1,\002', "
"'\002,a1,\002',\002,i5,\002, ... ), type \002,i2,\002, test(\002"
",i2,\002)=\002,g12.5)";
static char fmt_9996[] = "(1x,a,\002( '\002,a1,\002', '\002,a1,\002', "
"'\002,a1,\002', '\002,a1,\002',\002,i5,\002, ... ), type \002,i2,"
"\002, test(\002,i2,\002)=\002,g12.5)";
/* System generated locals */
address a__1[2], a__2[3], a__3[4];
integer i__1, i__2[2], i__3, i__4[3], i__5[4];
char ch__1[2], ch__2[3], ch__3[4];
/* Local variables */
integer i__, k, n, in, lda, lap;
char diag[1];
integer imat, info;
char path[3];
integer irhs, nrhs;
char norm[1], uplo[1];
integer nrun;
integer idiag;
real scale;
integer nfail, iseed[4];
real rcond;
real anorm;
integer itran;
char trans[1];
integer iuplo, nerrs;
char xtype[1];
real rcondc, rcondi;
real rcondo, ainvnm;
real result[9];
/* Fortran I/O blocks */
static cilist io___26 = { 0, 0, 0, fmt_9999, 0 };
static cilist io___34 = { 0, 0, 0, fmt_9998, 0 };
static cilist io___36 = { 0, 0, 0, fmt_9997, 0 };
static cilist io___38 = { 0, 0, 0, fmt_9996, 0 };
static cilist io___39 = { 0, 0, 0, fmt_9996, 0 };
/* -- LAPACK test routine (version 3.1) -- */
/* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */
/* November 2006 */
/* .. Scalar Arguments .. */
/* .. */
/* .. Array Arguments .. */
/* .. */
/* Purpose */
/* ======= */
/* SCHKTP tests STPTRI, -TRS, -RFS, and -CON, and SLATPS */
/* 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 column 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) 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 leading dimension of the work arrays. NMAX >= the */
/* maximumm value of N in NVAL. */
/* AP (workspace) REAL array, dimension */
/* (NMAX*(NMAX+1)/2) */
/* AINVP (workspace) REAL array, dimension */
/* (NMAX*(NMAX+1)/2) */
/* B (workspace) REAL array, dimension (NMAX*NSMAX) */
/* where NSMAX is the largest entry in NSVAL. */
/* X (workspace) REAL array, dimension (NMAX*NSMAX) */
/* XACT (workspace) REAL array, dimension (NMAX*NSMAX) */
/* WORK (workspace) REAL array, dimension */
/* (NMAX*max(3,NSMAX)) */
/* IWORK (workspace) INTEGER array, dimension (NMAX) */
/* RWORK (workspace) REAL 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 */
--iwork;
--rwork;
--work;
--xact;
--x;
--b;
--ainvp;
--ap;
--nsval;
--nval;
--dotype;
/* Function Body */
/* .. */
/* .. Executable Statements .. */
/* Initialize constants and the random number seed. */
s_copy(path, "Single precision", (ftnlen)1, (ftnlen)16);
s_copy(path + 1, "TP", (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) {
serrtr_(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);
lap = lda * (lda + 1) / 2;
*(unsigned char *)xtype = 'N';
for (imat = 1; imat <= 10; ++imat) {
/* Do the tests only if DOTYPE( IMAT ) is true. */
if (! dotype[imat]) {
goto L70;
}
for (iuplo = 1; iuplo <= 2; ++iuplo) {
/* Do first for UPLO = 'U', then for UPLO = 'L' */
*(unsigned char *)uplo = *(unsigned char *)&uplos[iuplo - 1];
/* Call SLATTP to generate a triangular test matrix. */
s_copy(srnamc_1.srnamt, "SLATTP", (ftnlen)32, (ftnlen)6);
slattp_(&imat, uplo, "No transpose", diag, iseed, &n, &ap[1],
&x[1], &work[1], &info);
/* Set IDIAG = 1 for non-unit matrices, 2 for unit. */
if (lsame_(diag, "N")) {
idiag = 1;
} else {
idiag = 2;
}
/* + TEST 1 */
/* Form the inverse of A. */
if (n > 0) {
scopy_(&lap, &ap[1], &c__1, &ainvp[1], &c__1);
}
s_copy(srnamc_1.srnamt, "STPTRI", (ftnlen)32, (ftnlen)6);
stptri_(uplo, diag, &n, &ainvp[1], &info);
/* Check error code from STPTRI. */
if (info != 0) {
/* Writing concatenation */
i__2[0] = 1, a__1[0] = uplo;
i__2[1] = 1, a__1[1] = diag;
s_cat(ch__1, a__1, i__2, &c__2, (ftnlen)2);
alaerh_(path, "STPTRI", &info, &c__0, ch__1, &n, &n, &
c_n1, &c_n1, &c_n1, &imat, &nfail, &nerrs, nout);
}
/* Compute the infinity-norm condition number of A. */
anorm = slantp_("I", uplo, diag, &n, &ap[1], &rwork[1]);
ainvnm = slantp_("I", uplo, diag, &n, &ainvp[1], &rwork[1]);
if (anorm <= 0.f || ainvnm <= 0.f) {
rcondi = 1.f;
} else {
rcondi = 1.f / anorm / ainvnm;
}
/* Compute the residual for the triangular matrix times its */
/* inverse. Also compute the 1-norm condition number of A. */
stpt01_(uplo, diag, &n, &ap[1], &ainvp[1], &rcondo, &rwork[1],
result);
/* Print the test ratio if it is .GE. THRESH. */
if (result[0] >= *thresh) {
if (nfail == 0 && nerrs == 0) {
alahd_(nout, path);
}
io___26.ciunit = *nout;
s_wsfe(&io___26);
do_fio(&c__1, uplo, (ftnlen)1);
do_fio(&c__1, diag, (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__1, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&result[0], (ftnlen)sizeof(real));
e_wsfe();
++nfail;
}
++nrun;
i__3 = *nns;
for (irhs = 1; irhs <= i__3; ++irhs) {
nrhs = nsval[irhs];
*(unsigned char *)xtype = 'N';
for (itran = 1; itran <= 3; ++itran) {
/* Do for op(A) = A, A**T, or A**H. */
*(unsigned char *)trans = *(unsigned char *)&transs[
itran - 1];
if (itran == 1) {
*(unsigned char *)norm = 'O';
rcondc = rcondo;
} else {
*(unsigned char *)norm = 'I';
rcondc = rcondi;
}
/* + TEST 2 */
/* Solve and compute residual for op(A)*x = b. */
s_copy(srnamc_1.srnamt, "SLARHS", (ftnlen)32, (ftnlen)
6);
slarhs_(path, xtype, uplo, trans, &n, &n, &c__0, &
idiag, &nrhs, &ap[1], &lap, &xact[1], &lda, &
b[1], &lda, iseed, &info);
*(unsigned char *)xtype = 'C';
slacpy_("Full", &n, &nrhs, &b[1], &lda, &x[1], &lda);
s_copy(srnamc_1.srnamt, "STPTRS", (ftnlen)32, (ftnlen)
6);
stptrs_(uplo, trans, diag, &n, &nrhs, &ap[1], &x[1], &
lda, &info);
/* Check error code from STPTRS. */
if (info != 0) {
/* Writing concatenation */
i__4[0] = 1, a__2[0] = uplo;
i__4[1] = 1, a__2[1] = trans;
i__4[2] = 1, a__2[2] = diag;
s_cat(ch__2, a__2, i__4, &c__3, (ftnlen)3);
alaerh_(path, "STPTRS", &info, &c__0, ch__2, &n, &
n, &c_n1, &c_n1, &c_n1, &imat, &nfail, &
nerrs, nout);
}
stpt02_(uplo, trans, diag, &n, &nrhs, &ap[1], &x[1], &
lda, &b[1], &lda, &work[1], &result[1]);
/* + TEST 3 */
/* Check solution from generated exact solution. */
sget04_(&n, &nrhs, &x[1], &lda, &xact[1], &lda, &
rcondc, &result[2]);
/* + TESTS 4, 5, and 6 */
/* Use iterative refinement to improve the solution and */
/* compute error bounds. */
s_copy(srnamc_1.srnamt, "STPRFS", (ftnlen)32, (ftnlen)
6);
stprfs_(uplo, trans, diag, &n, &nrhs, &ap[1], &b[1], &
lda, &x[1], &lda, &rwork[1], &rwork[nrhs + 1],
&work[1], &iwork[1], &info);
/* Check error code from STPRFS. */
if (info != 0) {
/* Writing concatenation */
i__4[0] = 1, a__2[0] = uplo;
i__4[1] = 1, a__2[1] = trans;
i__4[2] = 1, a__2[2] = diag;
s_cat(ch__2, a__2, i__4, &c__3, (ftnlen)3);
alaerh_(path, "STPRFS", &info, &c__0, ch__2, &n, &
n, &c_n1, &c_n1, &nrhs, &imat, &nfail, &
nerrs, nout);
}
sget04_(&n, &nrhs, &x[1], &lda, &xact[1], &lda, &
rcondc, &result[3]);
stpt05_(uplo, trans, diag, &n, &nrhs, &ap[1], &b[1], &
lda, &x[1], &lda, &xact[1], &lda, &rwork[1], &
rwork[nrhs + 1], &result[4]);
/* Print information about the tests that did not pass */
/* the threshold. */
for (k = 2; k <= 6; ++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, trans, (ftnlen)1);
do_fio(&c__1, diag, (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(real));
e_wsfe();
++nfail;
}
/* L20: */
}
nrun += 5;
/* L30: */
}
/* L40: */
}
/* + TEST 7 */
/* Get an estimate of RCOND = 1/CNDNUM. */
for (itran = 1; itran <= 2; ++itran) {
if (itran == 1) {
*(unsigned char *)norm = 'O';
rcondc = rcondo;
} else {
*(unsigned char *)norm = 'I';
rcondc = rcondi;
}
s_copy(srnamc_1.srnamt, "STPCON", (ftnlen)32, (ftnlen)6);
stpcon_(norm, uplo, diag, &n, &ap[1], &rcond, &work[1], &
iwork[1], &info);
/* Check error code from STPCON. */
if (info != 0) {
/* Writing concatenation */
i__4[0] = 1, a__2[0] = norm;
i__4[1] = 1, a__2[1] = uplo;
i__4[2] = 1, a__2[2] = diag;
s_cat(ch__2, a__2, i__4, &c__3, (ftnlen)3);
alaerh_(path, "STPCON", &info, &c__0, ch__2, &n, &n, &
c_n1, &c_n1, &c_n1, &imat, &nfail, &nerrs,
nout);
}
stpt06_(&rcond, &rcondc, uplo, diag, &n, &ap[1], &rwork[1]
, &result[6]);
/* Print the test ratio if it is .GE. THRESH. */
if (result[6] >= *thresh) {
if (nfail == 0 && nerrs == 0) {
alahd_(nout, path);
}
io___36.ciunit = *nout;
s_wsfe(&io___36);
do_fio(&c__1, "STPCON", (ftnlen)6);
do_fio(&c__1, norm, (ftnlen)1);
do_fio(&c__1, uplo, (ftnlen)1);
do_fio(&c__1, diag, (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__7, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&result[6], (ftnlen)sizeof(real)
);
e_wsfe();
++nfail;
}
++nrun;
/* L50: */
}
/* L60: */
}
L70:
;
}
/* Use pathological test matrices to test SLATPS. */
for (imat = 11; imat <= 18; ++imat) {
/* Do the tests only if DOTYPE( IMAT ) is true. */
if (! dotype[imat]) {
goto L100;
}
for (iuplo = 1; iuplo <= 2; ++iuplo) {
/* Do first for UPLO = 'U', then for UPLO = 'L' */
*(unsigned char *)uplo = *(unsigned char *)&uplos[iuplo - 1];
for (itran = 1; itran <= 3; ++itran) {
/* Do for op(A) = A, A**T, or A**H. */
*(unsigned char *)trans = *(unsigned char *)&transs[itran
- 1];
/* Call SLATTP to generate a triangular test matrix. */
s_copy(srnamc_1.srnamt, "SLATTP", (ftnlen)32, (ftnlen)6);
slattp_(&imat, uplo, trans, diag, iseed, &n, &ap[1], &x[1]
, &work[1], &info);
/* + TEST 8 */
/* Solve the system op(A)*x = b. */
s_copy(srnamc_1.srnamt, "SLATPS", (ftnlen)32, (ftnlen)6);
scopy_(&n, &x[1], &c__1, &b[1], &c__1);
slatps_(uplo, trans, diag, "N", &n, &ap[1], &b[1], &scale,
&rwork[1], &info);
/* Check error code from SLATPS. */
if (info != 0) {
/* Writing concatenation */
i__5[0] = 1, a__3[0] = uplo;
i__5[1] = 1, a__3[1] = trans;
i__5[2] = 1, a__3[2] = diag;
i__5[3] = 1, a__3[3] = "N";
s_cat(ch__3, a__3, i__5, &c__4, (ftnlen)4);
alaerh_(path, "SLATPS", &info, &c__0, ch__3, &n, &n, &
c_n1, &c_n1, &c_n1, &imat, &nfail, &nerrs,
nout);
}
stpt03_(uplo, trans, diag, &n, &c__1, &ap[1], &scale, &
rwork[1], &c_b103, &b[1], &lda, &x[1], &lda, &
work[1], &result[7]);
/* + TEST 9 */
/* Solve op(A)*x = b again with NORMIN = 'Y'. */
scopy_(&n, &x[1], &c__1, &b[n + 1], &c__1);
slatps_(uplo, trans, diag, "Y", &n, &ap[1], &b[n + 1], &
scale, &rwork[1], &info);
/* Check error code from SLATPS. */
if (info != 0) {
/* Writing concatenation */
i__5[0] = 1, a__3[0] = uplo;
i__5[1] = 1, a__3[1] = trans;
i__5[2] = 1, a__3[2] = diag;
i__5[3] = 1, a__3[3] = "Y";
s_cat(ch__3, a__3, i__5, &c__4, (ftnlen)4);
alaerh_(path, "SLATPS", &info, &c__0, ch__3, &n, &n, &
c_n1, &c_n1, &c_n1, &imat, &nfail, &nerrs,
nout);
}
stpt03_(uplo, trans, diag, &n, &c__1, &ap[1], &scale, &
rwork[1], &c_b103, &b[n + 1], &lda, &x[1], &lda, &
work[1], &result[8]);
/* Print information about the tests that did not pass */
/* the threshold. */
if (result[7] >= *thresh) {
if (nfail == 0 && nerrs == 0) {
alahd_(nout, path);
}
io___38.ciunit = *nout;
s_wsfe(&io___38);
do_fio(&c__1, "SLATPS", (ftnlen)6);
do_fio(&c__1, uplo, (ftnlen)1);
do_fio(&c__1, trans, (ftnlen)1);
do_fio(&c__1, diag, (ftnlen)1);
do_fio(&c__1, "N", (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(real)
);
e_wsfe();
++nfail;
}
if (result[8] >= *thresh) {
if (nfail == 0 && nerrs == 0) {
alahd_(nout, path);
}
io___39.ciunit = *nout;
s_wsfe(&io___39);
do_fio(&c__1, "SLATPS", (ftnlen)6);
do_fio(&c__1, uplo, (ftnlen)1);
do_fio(&c__1, trans, (ftnlen)1);
do_fio(&c__1, diag, (ftnlen)1);
do_fio(&c__1, "Y", (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__9, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&result[8], (ftnlen)sizeof(real)
);
e_wsfe();
++nfail;
}
nrun += 2;
/* L80: */
}
/* L90: */
}
L100:
;
}
/* L110: */
}
/* Print a summary of the results. */
alasum_(path, nout, &nfail, &nrun, &nerrs);
return 0;
/* End of SCHKTP */
} /* schktp_ */
/* Subroutine */ int cchkhe_(logical *dotype, integer *nn, integer *nval,
integer *nnb, integer *nbval, integer *nns, integer *nsval, real *
thresh, logical *tsterr, integer *nmax, complex *a, complex *afac,
complex *ainv, complex *b, complex *x, complex *xact, complex *work,
real *rwork, integer *iwork, integer *nout)
{
/* Initialized data */
static integer iseedy[4] = { 1988,1989,1990,1991 };
static char uplos[1*2] = "U" "L";
/* Format strings */
static char fmt_9999[] = "(\002 UPLO = '\002,a1,\002', N =\002,i5,\002, "
"NB =\002,i4,\002, type \002,i2,\002, test \002,i2,\002, ratio "
"=\002,g12.5)";
static char fmt_9998[] = "(\002 UPLO = '\002,a1,\002', N =\002,i5,\002, "
"NRHS=\002,i3,\002, type \002,i2,\002, test(\002,i2,\002) =\002,g"
"12.5)";
static char fmt_9997[] = "(\002 UPLO = '\002,a1,\002', N =\002,i5,\002"
",\002,10x,\002 type \002,i2,\002, test(\002,i2,\002) =\002,g12.5)"
;
/* System generated locals */
integer i__1, i__2, i__3, i__4, i__5;
/* 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 integer ioff, mode, imat, info;
static char path[3], dist[1];
static integer irhs, nrhs;
static char uplo[1], type__[1];
static integer nrun, i__, j, k;
extern /* Subroutine */ int alahd_(integer *, char *);
static integer n;
extern /* Subroutine */ int chet01_(char *, integer *, complex *, integer
*, complex *, integer *, integer *, complex *, integer *, real *,
real *), cget04_(integer *, integer *, complex *, integer
*, complex *, integer *, real *, real *);
static integer nfail, iseed[4];
static real rcond;
extern /* Subroutine */ int cpot02_(char *, integer *, integer *, complex
*, integer *, complex *, integer *, complex *, integer *, real *,
real *);
static integer nimat;
extern doublereal sget06_(real *, real *);
extern /* Subroutine */ int cpot03_(char *, integer *, complex *, integer
*, complex *, integer *, complex *, integer *, real *, real *,
real *), cpot05_(char *, integer *, integer *, complex *,
integer *, complex *, integer *, complex *, integer *, complex *,
integer *, real *, real *, real *);
static real anorm;
static integer iuplo, izero, i1, i2, nerrs, lwork;
static logical zerot;
static char xtype[1];
extern /* Subroutine */ int clatb4_(char *, integer *, integer *, integer
*, char *, integer *, integer *, real *, integer *, real *, char *
);
static integer nb, in, kl;
extern doublereal clanhe_(char *, char *, integer *, complex *, integer *,
real *);
extern /* Subroutine */ int alaerh_(char *, char *, integer *, integer *,
char *, integer *, integer *, integer *, integer *, integer *,
integer *, integer *, integer *, integer *), claipd_(integer *, complex *, integer *, integer *),
checon_(char *, integer *, complex *, integer *, integer *, real *
, real *, complex *, integer *);
static integer ku, nt;
static real rcondc;
extern /* Subroutine */ int cerrhe_(char *, integer *), cherfs_(
char *, integer *, integer *, complex *, integer *, complex *,
integer *, integer *, complex *, integer *, complex *, integer *,
real *, real *, complex *, real *, integer *), chetrf_(
char *, integer *, complex *, integer *, integer *, complex *,
integer *, integer *), clacpy_(char *, integer *, integer
*, complex *, integer *, complex *, integer *), clarhs_(
char *, char *, char *, char *, integer *, integer *, integer *,
integer *, integer *, complex *, integer *, complex *, integer *,
complex *, integer *, integer *, integer *), chetri_(char *, integer *, complex *, integer *,
integer *, complex *, integer *), alasum_(char *, integer
*, integer *, integer *, integer *);
static real cndnum;
extern /* Subroutine */ int clatms_(integer *, integer *, char *, integer
*, char *, real *, integer *, real *, real *, integer *, integer *
, char *, complex *, integer *, complex *, integer *), chetrs_(char *, integer *, integer *, complex *,
integer *, integer *, complex *, integer *, integer *);
static logical trfcon;
extern /* Subroutine */ int xlaenv_(integer *, integer *);
static real result[8];
static integer lda, inb;
/* Fortran I/O blocks */
static cilist io___39 = { 0, 0, 0, fmt_9999, 0 };
static cilist io___42 = { 0, 0, 0, fmt_9998, 0 };
static cilist io___44 = { 0, 0, 0, fmt_9997, 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
=======
CCHKHE tests CHETRF, -TRI, -TRS, -RFS, and -CON.
Arguments
=========
DOTYPE (input) LOGICAL array, dimension (NTYPES)
The matrix types to be used for testing. Matrices of type j
(for 1 <= j <= NTYPES) are used for testing if DOTYPE(j) =
.TRUE.; if DOTYPE(j) = .FALSE., then type j is not used.
NN (input) INTEGER
The number of values of N contained in the vector NVAL.
NVAL (input) INTEGER array, dimension (NN)
The values of the matrix dimension N.
NNB (input) INTEGER
The number of values of NB contained in the vector NBVAL.
NBVAL (input) INTEGER array, dimension (NBVAL)
The values of the blocksize NB.
NNS (input) INTEGER
The number of values of NRHS contained in the vector NSVAL.
NSVAL (input) INTEGER array, dimension (NNS)
The values of the number of right hand sides NRHS.
THRESH (input) 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) COMPLEX array, dimension (NMAX*NMAX)
AFAC (workspace) COMPLEX array, dimension (NMAX*NMAX)
AINV (workspace) COMPLEX array, dimension (NMAX*NMAX)
B (workspace) COMPLEX array, dimension (NMAX*NSMAX)
where NSMAX is the largest entry in NSVAL.
X (workspace) COMPLEX array, dimension (NMAX*NSMAX)
XACT (workspace) COMPLEX array, dimension (NMAX*NSMAX)
WORK (workspace) COMPLEX array, dimension
(NMAX*max(3,NSMAX))
RWORK (workspace) REAL array, dimension
(max(NMAX,2*NSMAX))
IWORK (workspace) INTEGER array, dimension (NMAX)
NOUT (input) INTEGER
The unit number for output.
=====================================================================
Parameter adjustments */
--iwork;
--rwork;
--work;
--xact;
--x;
--b;
--ainv;
--afac;
--a;
--nsval;
--nbval;
--nval;
--dotype;
/* Function Body
Initialize constants and the random number seed. */
s_copy(path, "Complex precision", (ftnlen)1, (ftnlen)17);
s_copy(path + 1, "HE", (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) {
cerrhe_(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 = 10;
if (n <= 0) {
nimat = 1;
}
izero = 0;
i__2 = nimat;
for (imat = 1; imat <= i__2; ++imat) {
/* Do the tests only if DOTYPE( IMAT ) is true. */
if (! dotype[imat]) {
goto L170;
}
/* Skip types 3, 4, 5, or 6 if the matrix size is too small. */
zerot = imat >= 3 && imat <= 6;
if (zerot && n < imat - 2) {
goto L170;
}
/* Do first for UPLO = 'U', then for UPLO = 'L' */
for (iuplo = 1; iuplo <= 2; ++iuplo) {
*(unsigned char *)uplo = *(unsigned char *)&uplos[iuplo - 1];
/* Set up parameters with CLATB4 and generate a test matrix
with CLATMS. */
clatb4_(path, &imat, &n, &n, type__, &kl, &ku, &anorm, &mode,
&cndnum, dist);
s_copy(srnamc_1.srnamt, "CLATMS", (ftnlen)6, (ftnlen)6);
clatms_(&n, &n, dist, iseed, type__, &rwork[1], &mode, &
cndnum, &anorm, &kl, &ku, uplo, &a[1], &lda, &work[1],
&info);
/* Check error code from CLATMS. */
if (info != 0) {
alaerh_(path, "CLATMS", &info, &c__0, uplo, &n, &n, &c_n1,
&c_n1, &c_n1, &imat, &nfail, &nerrs, nout);
goto L160;
}
/* For types 3-6, zero one or more rows and columns 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;
}
if (imat < 6) {
/* Set row and column IZERO to zero. */
if (iuplo == 1) {
ioff = (izero - 1) * lda;
i__3 = izero - 1;
for (i__ = 1; i__ <= i__3; ++i__) {
i__4 = ioff + i__;
a[i__4].r = 0.f, a[i__4].i = 0.f;
/* L20: */
}
ioff += izero;
i__3 = n;
for (i__ = izero; i__ <= i__3; ++i__) {
i__4 = ioff;
a[i__4].r = 0.f, a[i__4].i = 0.f;
ioff += lda;
/* L30: */
}
} else {
ioff = izero;
i__3 = izero - 1;
for (i__ = 1; i__ <= i__3; ++i__) {
i__4 = ioff;
a[i__4].r = 0.f, a[i__4].i = 0.f;
ioff += lda;
/* L40: */
}
ioff -= izero;
i__3 = n;
for (i__ = izero; i__ <= i__3; ++i__) {
i__4 = ioff + i__;
a[i__4].r = 0.f, a[i__4].i = 0.f;
/* L50: */
}
}
} else {
ioff = 0;
if (iuplo == 1) {
/* Set the first IZERO rows and columns to zero. */
i__3 = n;
for (j = 1; j <= i__3; ++j) {
i2 = min(j,izero);
i__4 = i2;
for (i__ = 1; i__ <= i__4; ++i__) {
i__5 = ioff + i__;
a[i__5].r = 0.f, a[i__5].i = 0.f;
/* L60: */
}
ioff += lda;
/* L70: */
}
} else {
/* Set the last IZERO rows and columns to zero. */
i__3 = n;
for (j = 1; j <= i__3; ++j) {
i1 = max(j,izero);
i__4 = n;
for (i__ = i1; i__ <= i__4; ++i__) {
i__5 = ioff + i__;
a[i__5].r = 0.f, a[i__5].i = 0.f;
/* L80: */
}
ioff += lda;
/* L90: */
}
}
}
} else {
izero = 0;
}
/* Set the imaginary part of the diagonals. */
i__3 = lda + 1;
claipd_(&n, &a[1], &i__3, &c__0);
/* Do for each value of NB in NBVAL */
i__3 = *nnb;
for (inb = 1; inb <= i__3; ++inb) {
nb = nbval[inb];
xlaenv_(&c__1, &nb);
/* Compute the L*D*L' or U*D*U' factorization of the
matrix. */
clacpy_(uplo, &n, &n, &a[1], &lda, &afac[1], &lda);
lwork = max(2,nb) * lda;
s_copy(srnamc_1.srnamt, "CHETRF", (ftnlen)6, (ftnlen)6);
chetrf_(uplo, &n, &afac[1], &lda, &iwork[1], &ainv[1], &
lwork, &info);
/* Adjust the expected value of INFO to account for
pivoting. */
k = izero;
if (k > 0) {
L100:
if (iwork[k] < 0) {
if (iwork[k] != -k) {
k = -iwork[k];
goto L100;
}
} else if (iwork[k] != k) {
k = iwork[k];
goto L100;
}
}
/* Check error code from CHETRF. */
if (info != k) {
alaerh_(path, "CHETRF", &info, &k, uplo, &n, &n, &
c_n1, &c_n1, &nb, &imat, &nfail, &nerrs, nout);
}
if (info != 0) {
trfcon = TRUE_;
} else {
trfcon = FALSE_;
}
/* + TEST 1
Reconstruct matrix from factors and compute residual. */
chet01_(uplo, &n, &a[1], &lda, &afac[1], &lda, &iwork[1],
&ainv[1], &lda, &rwork[1], result);
nt = 1;
/* + TEST 2
Form the inverse and compute the residual. */
if (inb == 1 && ! trfcon) {
clacpy_(uplo, &n, &n, &afac[1], &lda, &ainv[1], &lda);
s_copy(srnamc_1.srnamt, "CHETRI", (ftnlen)6, (ftnlen)
6);
chetri_(uplo, &n, &ainv[1], &lda, &iwork[1], &work[1],
&info);
/* Check error code from CHETRI. */
if (info != 0) {
alaerh_(path, "CHETRI", &info, &c_n1, uplo, &n, &
n, &c_n1, &c_n1, &c_n1, &imat, &nfail, &
nerrs, nout);
}
cpot03_(uplo, &n, &a[1], &lda, &ainv[1], &lda, &work[
1], &lda, &rwork[1], &rcondc, &result[1]);
nt = 2;
}
/* 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) {
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 *)&nb, (ftnlen)sizeof(integer)
);
do_fio(&c__1, (char *)&imat, (ftnlen)sizeof(
integer));
do_fio(&c__1, (char *)&k, (ftnlen)sizeof(integer))
;
do_fio(&c__1, (char *)&result[k - 1], (ftnlen)
sizeof(real));
e_wsfe();
++nfail;
}
/* L110: */
}
nrun += nt;
/* Skip the other tests if this is not the first block
size. */
if (inb > 1) {
goto L150;
}
/* Do only the condition estimate if INFO is not 0. */
if (trfcon) {
rcondc = 0.f;
goto L140;
}
i__4 = *nns;
for (irhs = 1; irhs <= i__4; ++irhs) {
nrhs = nsval[irhs];
/* + TEST 3
Solve and compute residual for A * X = B. */
s_copy(srnamc_1.srnamt, "CLARHS", (ftnlen)6, (ftnlen)
6);
clarhs_(path, xtype, uplo, " ", &n, &n, &kl, &ku, &
nrhs, &a[1], &lda, &xact[1], &lda, &b[1], &
lda, iseed, &info);
*(unsigned char *)xtype = 'C';
clacpy_("Full", &n, &nrhs, &b[1], &lda, &x[1], &lda);
s_copy(srnamc_1.srnamt, "CHETRS", (ftnlen)6, (ftnlen)
6);
chetrs_(uplo, &n, &nrhs, &afac[1], &lda, &iwork[1], &
x[1], &lda, &info);
/* Check error code from CHETRS. */
if (info != 0) {
alaerh_(path, "CHETRS", &info, &c__0, uplo, &n, &
n, &c_n1, &c_n1, &nrhs, &imat, &nfail, &
nerrs, nout);
}
clacpy_("Full", &n, &nrhs, &b[1], &lda, &work[1], &
lda);
cpot02_(uplo, &n, &nrhs, &a[1], &lda, &x[1], &lda, &
work[1], &lda, &rwork[1], &result[2]);
/* + TEST 4
Check solution from generated exact solution. */
cget04_(&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, "CHERFS", (ftnlen)6, (ftnlen)
6);
cherfs_(uplo, &n, &nrhs, &a[1], &lda, &afac[1], &lda,
&iwork[1], &b[1], &lda, &x[1], &lda, &rwork[1]
, &rwork[nrhs + 1], &work[1], &rwork[(nrhs <<
1) + 1], &info);
/* Check error code from CHERFS. */
if (info != 0) {
alaerh_(path, "CHERFS", &info, &c__0, uplo, &n, &
n, &c_n1, &c_n1, &nrhs, &imat, &nfail, &
nerrs, nout);
}
cget04_(&n, &nrhs, &x[1], &lda, &xact[1], &lda, &
rcondc, &result[4]);
cpot05_(uplo, &n, &nrhs, &a[1], &lda, &b[1], &lda, &x[
1], &lda, &xact[1], &lda, &rwork[1], &rwork[
nrhs + 1], &result[5]);
/* Print information about the tests that did not pass
the threshold. */
for (k = 3; k <= 7; ++k) {
if (result[k - 1] >= *thresh) {
if (nfail == 0 && nerrs == 0) {
alahd_(nout, path);
}
io___42.ciunit = *nout;
s_wsfe(&io___42);
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(real));
e_wsfe();
++nfail;
}
/* L120: */
}
nrun += 5;
/* L130: */
}
/* + TEST 8
Get an estimate of RCOND = 1/CNDNUM. */
L140:
anorm = clanhe_("1", uplo, &n, &a[1], &lda, &rwork[1]);
s_copy(srnamc_1.srnamt, "CHECON", (ftnlen)6, (ftnlen)6);
checon_(uplo, &n, &afac[1], &lda, &iwork[1], &anorm, &
rcond, &work[1], &info);
/* Check error code from CHECON. */
if (info != 0) {
alaerh_(path, "CHECON", &info, &c__0, uplo, &n, &n, &
c_n1, &c_n1, &c_n1, &imat, &nfail, &nerrs,
nout);
}
result[7] = sget06_(&rcond, &rcondc);
/* Print information about the tests that did not pass
the threshold. */
if (result[7] >= *thresh) {
if (nfail == 0 && nerrs == 0) {
alahd_(nout, path);
}
io___44.ciunit = *nout;
s_wsfe(&io___44);
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(real)
);
e_wsfe();
++nfail;
}
++nrun;
L150:
;
}
L160:
;
}
L170:
;
}
/* L180: */
}
/* Print a summary of the results. */
alasum_(path, nout, &nfail, &nrun, &nerrs);
return 0;
/* End of CCHKHE */
} /* cchkhe_ */
/* Subroutine */ int sdrvge_(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 transs[1*3] = "N" "T" "C";
static char facts[1*3] = "F" "N" "E";
static char equeds[1*4] = "N" "R" "C" "B";
/* Format strings */
static char fmt_9999[] = "(1x,a6,\002, N =\002,i5,\002, type \002,i2,"
"\002, test(\002,i2,\002) =\002,g12.5)";
static char fmt_9997[] = "(1x,a6,\002, FACT='\002,a1,\002', TRANS='\002,"
"a1,\002', N=\002,i5,\002, EQUED='\002,a1,\002', type \002,i2,"
"\002, test(\002,i1,\002)=\002,g12.5)";
static char fmt_9998[] = "(1x,a6,\002, FACT='\002,a1,\002', TRANS='\002,"
"a1,\002', N=\002,i5,\002, type \002,i2,\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];
real r__1;
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 */
integer i__, k, n, k1, nb, in, kl, ku, nt, lda;
char fact[1];
integer ioff, mode;
real amax;
char path[3];
integer imat, info;
char dist[1], type__[1];
integer nrun, ifact, nfail, iseed[4], nfact;
extern logical lsame_(char *, char *);
char equed[1];
integer nbmin;
real rcond, roldc;
extern /* Subroutine */ int sget01_(integer *, integer *, real *, integer
*, real *, integer *, integer *, real *, real *);
integer nimat;
real roldi;
extern doublereal sget06_(real *, real *);
extern /* Subroutine */ int sget02_(char *, integer *, integer *, integer
*, real *, integer *, real *, integer *, real *, integer *, real *
, real *);
real anorm;
integer itran;
extern /* Subroutine */ int sget04_(integer *, integer *, real *, integer
*, real *, integer *, real *, real *);
logical equil;
real roldo;
extern /* Subroutine */ int sget07_(char *, integer *, integer *, real *,
integer *, real *, integer *, real *, integer *, real *, integer *
, real *, real *, real *);
char trans[1];
integer izero, nerrs;
extern /* Subroutine */ int sgesv_(integer *, integer *, real *, integer *
, integer *, real *, integer *, integer *);
integer lwork;
logical zerot;
char xtype[1];
extern /* Subroutine */ int 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 *);
logical prefac;
real colcnd;
extern doublereal slamch_(char *);
real rcondc;
extern doublereal slange_(char *, integer *, integer *, real *, integer *,
real *);
logical nofact;
integer iequed;
extern /* Subroutine */ int slaqge_(integer *, integer *, real *, integer
*, real *, real *, real *, real *, real *, char *);
real rcondi;
extern /* Subroutine */ int alasvm_(char *, integer *, integer *, integer
*, integer *);
real cndnum, anormi, rcondo, ainvnm;
extern /* Subroutine */ int sgeequ_(integer *, integer *, real *, integer
*, real *, real *, real *, real *, real *, integer *);
logical trfcon;
real anormo, rowcnd;
extern /* Subroutine */ int sgetrf_(integer *, integer *, real *, integer
*, integer *, integer *), sgetri_(integer *, real *, integer *,
integer *, real *, integer *, integer *), 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 *);
extern doublereal slantr_(char *, char *, char *, integer *, integer *,
real *, integer *, real *);
extern /* Subroutine */ int slaset_(char *, integer *, integer *, real *,
real *, real *, integer *), slatms_(integer *, integer *,
char *, integer *, char *, real *, integer *, real *, real *,
integer *, integer *, char *, real *, integer *, real *, integer *
), xlaenv_(integer *, integer *);
real result[7];
extern /* Subroutine */ int sgesvx_(char *, char *, integer *, integer *,
real *, integer *, real *, integer *, integer *, char *, real *,
real *, real *, integer *, real *, integer *, real *, real *,
real *, real *, integer *, integer *);
real rpvgrw;
extern /* Subroutine */ int serrvx_(char *, integer *);
/* Fortran I/O blocks */
static cilist io___55 = { 0, 0, 0, fmt_9999, 0 };
static cilist io___61 = { 0, 0, 0, fmt_9997, 0 };
static cilist io___62 = { 0, 0, 0, fmt_9998, 0 };
static cilist io___63 = { 0, 0, 0, fmt_9997, 0 };
static cilist io___64 = { 0, 0, 0, fmt_9998, 0 };
static cilist io___65 = { 0, 0, 0, fmt_9997, 0 };
static cilist io___66 = { 0, 0, 0, fmt_9998, 0 };
static cilist io___67 = { 0, 0, 0, fmt_9997, 0 };
static cilist io___68 = { 0, 0, 0, fmt_9998, 0 };
/* -- LAPACK test routine (version 3.1) -- */
/* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */
/* November 2006 */
/* .. Scalar Arguments .. */
/* .. */
/* .. Array Arguments .. */
/* .. */
/* Purpose */
/* ======= */
/* SDRVGE tests the driver routines SGESV 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 column 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) */
/* AFAC (workspace) REAL array, dimension (NMAX*NMAX) */
/* ASAV (workspace) REAL array, dimension (NMAX*NMAX) */
/* 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 (2*NMAX) */
/* WORK (workspace) REAL array, dimension */
/* (NMAX*max(3,NRHS)) */
/* RWORK (workspace) REAL array, dimension (2*NRHS+NMAX) */
/* IWORK (workspace) INTEGER array, dimension (2*NMAX) */
/* NOUT (input) INTEGER */
/* The unit number for output. */
/* ===================================================================== */
/* .. Parameters .. */
/* .. */
/* .. Local Scalars .. */
/* .. */
/* .. Local Arrays .. */
/* .. */
/* .. External Functions .. */
/* .. */
/* .. External Subroutines .. */
/* .. */
/* .. Intrinsic Functions .. */
/* .. */
/* .. Scalars in Common .. */
/* .. */
/* .. Common blocks .. */
/* .. */
/* .. Data statements .. */
/* Parameter adjustments */
--iwork;
--rwork;
--work;
--s;
--xact;
--x;
--bsav;
--b;
--asav;
--afac;
--a;
--nval;
--dotype;
/* Function Body */
/* .. */
/* .. Executable Statements .. */
/* Initialize constants and the random number seed. */
s_copy(path, "Single precision", (ftnlen)1, (ftnlen)16);
s_copy(path + 1, "GE", (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;
/* Set the block size and minimum block size for testing. */
nb = 1;
nbmin = 2;
xlaenv_(&c__1, &nb);
xlaenv_(&c__2, &nbmin);
/* 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 = 11;
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 L80;
}
/* Skip types 5, 6, or 7 if the matrix size is too small. */
zerot = imat >= 5 && imat <= 7;
if (zerot && n < imat - 4) {
goto L80;
}
/* 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, "No packing", &a[1], &lda, &work[1], &
info);
/* Check error code from SLATMS. */
if (info != 0) {
alaerh_(path, "SLATMS", &info, &c__0, " ", &n, &n, &c_n1, &
c_n1, &c_n1, &imat, &nfail, &nerrs, nout);
goto L80;
}
/* For types 5-7, zero one or more columns of the matrix to */
/* test that INFO is returned correctly. */
if (zerot) {
if (imat == 5) {
izero = 1;
} else if (imat == 6) {
izero = n;
} else {
izero = n / 2 + 1;
}
ioff = (izero - 1) * lda;
if (imat < 7) {
i__3 = n;
for (i__ = 1; i__ <= i__3; ++i__) {
a[ioff + i__] = 0.f;
/* L20: */
}
} else {
i__3 = n - izero + 1;
slaset_("Full", &n, &i__3, &c_b20, &c_b20, &a[ioff + 1], &
lda);
}
} else {
izero = 0;
}
/* Save a copy of the matrix A in ASAV. */
slacpy_("Full", &n, &n, &a[1], &lda, &asav[1], &lda);
for (iequed = 1; iequed <= 4; ++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 L60;
}
rcondo = 0.f;
rcondi = 0.f;
} else if (! nofact) {
/* Compute the condition number for comparison with */
/* the value returned by SGESVX (FACT = 'N' reuses */
/* the condition number from the previous iteration */
/* with FACT = 'F'). */
slacpy_("Full", &n, &n, &asav[1], &lda, &afac[1], &
lda);
if (equil || iequed > 1) {
/* Compute row and column scale factors to */
/* equilibrate the matrix A. */
sgeequ_(&n, &n, &afac[1], &lda, &s[1], &s[n + 1],
&rowcnd, &colcnd, &amax, &info);
if (info == 0 && n > 0) {
if (lsame_(equed, "R"))
{
rowcnd = 0.f;
colcnd = 1.f;
} else if (lsame_(equed, "C")) {
rowcnd = 1.f;
colcnd = 0.f;
} else if (lsame_(equed, "B")) {
rowcnd = 0.f;
colcnd = 0.f;
}
/* Equilibrate the matrix. */
slaqge_(&n, &n, &afac[1], &lda, &s[1], &s[n +
1], &rowcnd, &colcnd, &amax, equed);
}
}
/* Save the condition number of the non-equilibrated */
/* system for use in SGET04. */
if (equil) {
roldo = rcondo;
roldi = rcondi;
}
/* Compute the 1-norm and infinity-norm of A. */
anormo = slange_("1", &n, &n, &afac[1], &lda, &rwork[
1]);
anormi = slange_("I", &n, &n, &afac[1], &lda, &rwork[
1]);
/* Factor the matrix A. */
sgetrf_(&n, &n, &afac[1], &lda, &iwork[1], &info);
/* Form the inverse of A. */
slacpy_("Full", &n, &n, &afac[1], &lda, &a[1], &lda);
lwork = *nmax * max(3,*nrhs);
sgetri_(&n, &a[1], &lda, &iwork[1], &work[1], &lwork,
&info);
/* Compute the 1-norm condition number of A. */
ainvnm = slange_("1", &n, &n, &a[1], &lda, &rwork[1]);
if (anormo <= 0.f || ainvnm <= 0.f) {
rcondo = 1.f;
} else {
rcondo = 1.f / anormo / ainvnm;
}
/* Compute the infinity-norm condition number of A. */
ainvnm = slange_("I", &n, &n, &a[1], &lda, &rwork[1]);
if (anormi <= 0.f || ainvnm <= 0.f) {
rcondi = 1.f;
} else {
rcondi = 1.f / anormi / ainvnm;
}
}
for (itran = 1; itran <= 3; ++itran) {
/* Do for each value of TRANS. */
*(unsigned char *)trans = *(unsigned char *)&transs[
itran - 1];
if (itran == 1) {
rcondc = rcondo;
} else {
rcondc = rcondi;
}
/* Restore the matrix A. */
slacpy_("Full", &n, &n, &asav[1], &lda, &a[1], &lda);
/* Form an exact solution and set the right hand side. */
s_copy(srnamc_1.srnamt, "SLARHS", (ftnlen)6, (ftnlen)
6);
slarhs_(path, xtype, "Full", trans, &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 && itran == 1) {
/* --- Test SGESV --- */
/* Compute the LU factorization of the matrix and */
/* solve the system. */
slacpy_("Full", &n, &n, &a[1], &lda, &afac[1], &
lda);
slacpy_("Full", &n, nrhs, &b[1], &lda, &x[1], &
lda);
s_copy(srnamc_1.srnamt, "SGESV ", (ftnlen)6, (
ftnlen)6);
sgesv_(&n, nrhs, &afac[1], &lda, &iwork[1], &x[1],
&lda, &info);
/* Check error code from SGESV . */
if (info != izero) {
alaerh_(path, "SGESV ", &info, &izero, " ", &
n, &n, &c_n1, &c_n1, nrhs, &imat, &
nfail, &nerrs, nout);
}
/* Reconstruct matrix from factors and compute */
/* residual. */
sget01_(&n, &n, &a[1], &lda, &afac[1], &lda, &
iwork[1], &rwork[1], result);
nt = 1;
if (izero == 0) {
/* Compute residual of the computed solution. */
slacpy_("Full", &n, nrhs, &b[1], &lda, &work[
1], &lda);
sget02_("No transpose", &n, &n, nrhs, &a[1], &
lda, &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___55.ciunit = *nout;
s_wsfe(&io___55);
do_fio(&c__1, "SGESV ", (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(real));
e_wsfe();
++nfail;
}
/* L30: */
}
nrun += nt;
}
/* --- Test SGESVX --- */
if (! prefac) {
slaset_("Full", &n, &n, &c_b20, &c_b20, &afac[1],
&lda);
}
slaset_("Full", &n, nrhs, &c_b20, &c_b20, &x[1], &lda);
if (iequed > 1 && n > 0) {
/* Equilibrate the matrix if FACT = 'F' and */
/* EQUED = 'R', 'C', or 'B'. */
slaqge_(&n, &n, &a[1], &lda, &s[1], &s[n + 1], &
rowcnd, &colcnd, &amax, equed);
}
/* Solve the system and compute the condition number */
/* and error bounds using SGESVX. */
s_copy(srnamc_1.srnamt, "SGESVX", (ftnlen)6, (ftnlen)
6);
sgesvx_(fact, trans, &n, nrhs, &a[1], &lda, &afac[1],
&lda, &iwork[1], equed, &s[1], &s[n + 1], &b[
1], &lda, &x[1], &lda, &rcond, &rwork[1], &
rwork[*nrhs + 1], &work[1], &iwork[n + 1], &
info);
/* Check the error code from SGESVX. */
if (info != izero) {
/* Writing concatenation */
i__5[0] = 1, a__1[0] = fact;
i__5[1] = 1, a__1[1] = trans;
s_cat(ch__1, a__1, i__5, &c__2, (ftnlen)2);
alaerh_(path, "SGESVX", &info, &izero, ch__1, &n,
&n, &c_n1, &c_n1, nrhs, &imat, &nfail, &
nerrs, nout);
}
/* Compare WORK(1) from SGESVX with the computed */
/* reciprocal pivot growth factor RPVGRW */
if (info != 0) {
rpvgrw = slantr_("M", "U", "N", &info, &info, &
afac[1], &lda, &work[1]);
if (rpvgrw == 0.f) {
rpvgrw = 1.f;
} else {
rpvgrw = slange_("M", &n, &info, &a[1], &lda,
&work[1]) / rpvgrw;
}
} else {
rpvgrw = slantr_("M", "U", "N", &n, &n, &afac[1],
&lda, &work[1]);
if (rpvgrw == 0.f) {
rpvgrw = 1.f;
} else {
rpvgrw = slange_("M", &n, &n, &a[1], &lda, &
work[1]) / rpvgrw;
}
}
result[6] = (r__1 = rpvgrw - work[1], dabs(r__1)) /
dmax(work[1],rpvgrw) / slamch_("E")
;
if (! prefac) {
/* Reconstruct matrix from factors and compute */
/* residual. */
sget01_(&n, &n, &a[1], &lda, &afac[1], &lda, &
iwork[1], &rwork[(*nrhs << 1) + 1],
result);
k1 = 1;
} else {
k1 = 2;
}
if (info == 0) {
trfcon = FALSE_;
/* Compute residual of the computed solution. */
slacpy_("Full", &n, nrhs, &bsav[1], &lda, &work[1]
, &lda);
sget02_(trans, &n, &n, nrhs, &asav[1], &lda, &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 {
if (itran == 1) {
roldc = roldo;
} else {
roldc = roldi;
}
sget04_(&n, nrhs, &x[1], &lda, &xact[1], &lda,
&roldc, &result[2]);
}
/* Check the error bounds from iterative */
/* refinement. */
sget07_(trans, &n, nrhs, &asav[1], &lda, &b[1], &
lda, &x[1], &lda, &xact[1], &lda, &rwork[
1], &rwork[*nrhs + 1], &result[3]);
} else {
trfcon = TRUE_;
}
/* Compare RCOND from SGESVX with the computed value */
/* in RCONDC. */
result[5] = sget06_(&rcond, &rcondc);
/* Print information about the tests that did not pass */
/* the threshold. */
if (! trfcon) {
for (k = k1; k <= 7; ++k) {
if (result[k - 1] >= *thresh) {
if (nfail == 0 && nerrs == 0) {
aladhd_(nout, path);
}
if (prefac) {
io___61.ciunit = *nout;
s_wsfe(&io___61);
do_fio(&c__1, "SGESVX", (ftnlen)6);
do_fio(&c__1, fact, (ftnlen)1);
do_fio(&c__1, trans, (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___62.ciunit = *nout;
s_wsfe(&io___62);
do_fio(&c__1, "SGESVX", (ftnlen)6);
do_fio(&c__1, fact, (ftnlen)1);
do_fio(&c__1, trans, (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;
}
/* L40: */
}
nrun = nrun + 7 - k1;
} else {
if (result[0] >= *thresh && ! prefac) {
if (nfail == 0 && nerrs == 0) {
aladhd_(nout, path);
}
if (prefac) {
io___63.ciunit = *nout;
s_wsfe(&io___63);
do_fio(&c__1, "SGESVX", (ftnlen)6);
do_fio(&c__1, fact, (ftnlen)1);
do_fio(&c__1, trans, (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 *)&c__1, (ftnlen)
sizeof(integer));
do_fio(&c__1, (char *)&result[0], (ftnlen)
sizeof(real));
e_wsfe();
} else {
io___64.ciunit = *nout;
s_wsfe(&io___64);
do_fio(&c__1, "SGESVX", (ftnlen)6);
do_fio(&c__1, fact, (ftnlen)1);
do_fio(&c__1, trans, (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__1, (ftnlen)
sizeof(integer));
do_fio(&c__1, (char *)&result[0], (ftnlen)
sizeof(real));
e_wsfe();
}
++nfail;
++nrun;
}
if (result[5] >= *thresh) {
if (nfail == 0 && nerrs == 0) {
aladhd_(nout, path);
}
if (prefac) {
io___65.ciunit = *nout;
s_wsfe(&io___65);
do_fio(&c__1, "SGESVX", (ftnlen)6);
do_fio(&c__1, fact, (ftnlen)1);
do_fio(&c__1, trans, (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 *)&c__6, (ftnlen)
sizeof(integer));
do_fio(&c__1, (char *)&result[5], (ftnlen)
sizeof(real));
e_wsfe();
} else {
io___66.ciunit = *nout;
s_wsfe(&io___66);
do_fio(&c__1, "SGESVX", (ftnlen)6);
do_fio(&c__1, fact, (ftnlen)1);
do_fio(&c__1, trans, (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__6, (ftnlen)
sizeof(integer));
do_fio(&c__1, (char *)&result[5], (ftnlen)
sizeof(real));
e_wsfe();
}
++nfail;
++nrun;
}
if (result[6] >= *thresh) {
if (nfail == 0 && nerrs == 0) {
aladhd_(nout, path);
}
if (prefac) {
io___67.ciunit = *nout;
s_wsfe(&io___67);
do_fio(&c__1, "SGESVX", (ftnlen)6);
do_fio(&c__1, fact, (ftnlen)1);
do_fio(&c__1, trans, (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 *)&c__7, (ftnlen)
sizeof(integer));
do_fio(&c__1, (char *)&result[6], (ftnlen)
sizeof(real));
e_wsfe();
} else {
io___68.ciunit = *nout;
s_wsfe(&io___68);
do_fio(&c__1, "SGESVX", (ftnlen)6);
do_fio(&c__1, fact, (ftnlen)1);
do_fio(&c__1, trans, (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__7, (ftnlen)
sizeof(integer));
do_fio(&c__1, (char *)&result[6], (ftnlen)
sizeof(real));
e_wsfe();
}
++nfail;
++nrun;
}
}
/* L50: */
}
L60:
;
}
/* L70: */
}
L80:
;
}
/* L90: */
}
/* Print a summary of the results. */
alasvm_(path, nout, &nfail, &nrun, &nerrs);
return 0;
/* End of SDRVGE */
} /* sdrvge_ */
/* Subroutine */ int zdrvpt_(logical *dotype, integer *nn, integer *nval,
integer *nrhs, doublereal *thresh, logical *tsterr, doublecomplex *a,
doublereal *d__, doublecomplex *e, doublecomplex *b, doublecomplex *x,
doublecomplex *xact, doublecomplex *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, i__5;
doublereal d__1, d__2;
/* Builtin functions
Subroutine */ int s_copy(char *, char *, ftnlen, ftnlen);
double z_abs(doublecomplex *);
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 dscal_(integer *, doublereal *, doublereal *,
integer *);
static integer nfail, iseed[4];
static doublereal z__[3];
extern doublereal dget06_(doublereal *, doublereal *);
static doublereal rcond;
static integer nimat;
static doublereal anorm;
extern /* Subroutine */ int zget04_(integer *, integer *, doublecomplex *,
integer *, doublecomplex *, integer *, doublereal *, doublereal *
), dcopy_(integer *, doublereal *, integer *, doublereal *,
integer *);
static integer izero, nerrs, k1;
extern /* Subroutine */ int zptt01_(integer *, doublereal *,
doublecomplex *, doublereal *, doublecomplex *, doublecomplex *,
doublereal *);
static logical zerot;
extern /* Subroutine */ int zcopy_(integer *, doublecomplex *, integer *,
doublecomplex *, integer *), zptt02_(char *, integer *, integer *,
doublereal *, doublecomplex *, doublecomplex *, integer *,
doublecomplex *, integer *, doublereal *), zptt05_(
integer *, integer *, doublereal *, doublecomplex *,
doublecomplex *, integer *, doublecomplex *, integer *,
doublecomplex *, integer *, doublereal *, doublereal *,
doublereal *), zptsv_(integer *, integer *, doublereal *,
doublecomplex *, doublecomplex *, integer *, integer *), zlatb4_(
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 zdscal_(integer *, doublereal *,
doublecomplex *, integer *), alasvm_(char *, integer *, integer *,
integer *, integer *), dlarnv_(integer *, integer *,
integer *, doublereal *);
static doublereal ainvnm;
extern doublereal zlanht_(char *, integer *, doublereal *, doublecomplex *
);
extern /* Subroutine */ int zlacpy_(char *, integer *, integer *,
doublecomplex *, integer *, doublecomplex *, integer *);
extern doublereal dzasum_(integer *, doublecomplex *, integer *);
extern /* Subroutine */ int zlaset_(char *, integer *, integer *,
doublecomplex *, doublecomplex *, doublecomplex *, integer *), zlaptm_(char *, integer *, integer *, doublereal *,
doublereal *, doublecomplex *, doublecomplex *, integer *,
doublereal *, doublecomplex *, integer *), zlatms_(
integer *, integer *, char *, integer *, char *, doublereal *,
integer *, doublereal *, doublereal *, integer *, integer *, char
*, doublecomplex *, integer *, doublecomplex *, integer *), zlarnv_(integer *, integer *, integer *,
doublecomplex *);
static doublereal result[6];
extern /* Subroutine */ int zpttrf_(integer *, doublereal *,
doublecomplex *, integer *), zerrvx_(char *, integer *),
zpttrs_(char *, integer *, integer *, doublereal *, doublecomplex
*, doublecomplex *, integer *, integer *), zptsvx_(char *,
integer *, integer *, doublereal *, doublecomplex *, doublereal *
, doublecomplex *, doublecomplex *, integer *, doublecomplex *,
integer *, doublereal *, doublereal *, doublereal *,
doublecomplex *, 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
=======
ZDRVPT tests ZPTSV 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) COMPLEX*16 array, dimension (NMAX*2)
D (workspace) DOUBLE PRECISION array, dimension (NMAX*2)
E (workspace) COMPLEX*16 array, dimension (NMAX*2)
B (workspace) COMPLEX*16 array, dimension (NMAX*NRHS)
X (workspace) COMPLEX*16 array, dimension (NMAX*NRHS)
XACT (workspace) COMPLEX*16 array, dimension (NMAX*NRHS)
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;
--xact;
--x;
--b;
--e;
--d__;
--a;
--nval;
--dotype;
/* Function Body */
s_copy(path, "Zomplex precision", (ftnlen)1, (ftnlen)17);
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) {
zerrvx_(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 ZLATB4. */
zlatb4_(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, "ZLATMS", (ftnlen)6, (ftnlen)6);
zlatms_(&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 ZLATMS. */
if (info != 0) {
alaerh_(path, "ZLATMS", &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__) {
i__4 = i__;
i__5 = ia;
d__[i__4] = a[i__5].r;
i__4 = i__;
i__5 = ia + 1;
e[i__4].r = a[i__5].r, e[i__4].i = a[i__5].i;
ia += 2;
/* L20: */
}
if (n > 0) {
i__3 = n;
i__4 = ia;
d__[i__3] = a[i__4].r;
}
} 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;
zlarnv_(&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]) + z_abs(&e[1]);
d__[n] = (d__1 = d__[n], abs(d__1)) + z_abs(&e[n - 1])
;
i__3 = n - 1;
for (i__ = 2; i__ <= i__3; ++i__) {
d__[i__] = (d__1 = d__[i__], abs(d__1)) + z_abs(&
e[i__]) + z_abs(&e[i__ - 1]);
/* 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__;
zdscal_(&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].r = z__[2], e[1].i = 0.;
}
} else if (izero == n) {
i__3 = n - 1;
e[i__3].r = z__[0], e[i__3].i = 0.;
d__[n] = z__[1];
} else {
i__3 = izero - 1;
e[i__3].r = z__[0], e[i__3].i = 0.;
d__[izero] = z__[1];
i__3 = izero;
e[i__3].r = z__[2], e[i__3].i = 0.;
}
}
/* 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].r;
e[1].r = 0., e[1].i = 0.;
}
} else if (imat == 9) {
izero = n;
if (n > 1) {
i__3 = n - 1;
z__[0] = e[i__3].r;
i__3 = n - 1;
e[i__3].r = 0., e[i__3].i = 0.;
}
z__[1] = d__[n];
d__[n] = 0.;
} else if (imat == 10) {
izero = (n + 1) / 2;
if (izero > 1) {
i__3 = izero - 1;
z__[0] = e[i__3].r;
i__3 = izero - 1;
e[i__3].r = 0., e[i__3].i = 0.;
i__3 = izero;
z__[2] = e[i__3].r;
i__3 = izero;
e[i__3].r = 0., e[i__3].i = 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) {
zlarnv_(&c__2, iseed, &n, &xact[ix]);
ix += lda;
/* L40: */
}
/* Set the right hand side. */
zlaptm_("Lower", &n, nrhs, &c_b24, &d__[1], &e[1], &xact[1], &lda,
&c_b25, &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 ZPTSVX. */
if (zerot) {
if (ifact == 1) {
goto L100;
}
rcondc = 0.;
} else if (ifact == 1) {
/* Compute the 1-norm of A. */
anorm = zlanht_("1", &n, &d__[1], &e[1]);
dcopy_(&n, &d__[1], &c__1, &d__[n + 1], &c__1);
if (n > 1) {
i__3 = n - 1;
zcopy_(&i__3, &e[1], &c__1, &e[n + 1], &c__1);
}
/* Factor the matrix A. */
zpttrf_(&n, &d__[n + 1], &e[n + 1], &info);
/* Use ZPTTRS 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) {
i__5 = j;
x[i__5].r = 0., x[i__5].i = 0.;
/* L50: */
}
i__4 = i__;
x[i__4].r = 1., x[i__4].i = 0.;
zpttrs_("Lower", &n, &c__1, &d__[n + 1], &e[n + 1], &
x[1], &lda, &info);
/* Computing MAX */
d__1 = ainvnm, d__2 = dzasum_(&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 ZPTSV -- */
dcopy_(&n, &d__[1], &c__1, &d__[n + 1], &c__1);
if (n > 1) {
i__3 = n - 1;
zcopy_(&i__3, &e[1], &c__1, &e[n + 1], &c__1);
}
zlacpy_("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, "ZPTSV ", (ftnlen)6, (ftnlen)6);
zptsv_(&n, nrhs, &d__[n + 1], &e[n + 1], &x[1], &lda, &
info);
/* Check error code from ZPTSV . */
if (info != izero) {
alaerh_(path, "ZPTSV ", &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 ) */
zptt01_(&n, &d__[1], &e[1], &d__[n + 1], &e[n + 1], &
work[1], result);
/* Compute the residual in the solution. */
zlacpy_("Full", &n, nrhs, &b[1], &lda, &work[1], &lda);
zptt02_("Lower", &n, nrhs, &d__[1], &e[1], &x[1], &
lda, &work[1], &lda, &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__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, "ZPTSV ", (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 ZPTSVX --- */
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.;
i__4 = n + i__;
e[i__4].r = 0., e[i__4].i = 0.;
/* L80: */
}
if (n > 0) {
d__[n + n] = 0.;
}
}
zlaset_("Full", &n, nrhs, &c_b62, &c_b62, &x[1], &lda);
/* Solve the system and compute the condition number and
error bounds using ZPTSVX. */
s_copy(srnamc_1.srnamt, "ZPTSVX", (ftnlen)6, (ftnlen)6);
zptsvx_(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], &rwork[(*nrhs << 1) + 1], &info);
/* Check the error code from ZPTSVX. */
if (info != izero) {
alaerh_(path, "ZPTSVX", &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;
zptt01_(&n, &d__[1], &e[1], &d__[n + 1], &e[n + 1], &
work[1], result);
} else {
k1 = 2;
}
/* Compute the residual in the solution. */
zlacpy_("Full", &n, nrhs, &b[1], &lda, &work[1], &lda);
zptt02_("Lower", &n, nrhs, &d__[1], &e[1], &x[1], &lda, &
work[1], &lda, &result[1]);
/* Check solution from generated exact solution. */
zget04_(&n, nrhs, &x[1], &lda, &xact[1], &lda, &rcondc, &
result[2]);
/* Check error bounds from iterative refinement. */
zptt05_(&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, "ZPTSVX", (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 ZDRVPT */
} /* zdrvpt_ */
/* Subroutine */ int zchkhp_(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 *iwork, integer *nout)
{
/* Initialized data */
static integer iseedy[4] = { 1988,1989,1990,1991 };
static char uplos[1*2] = "U" "L";
/* Format strings */
static char fmt_9999[] = "(\002 UPLO = '\002,a1,\002', N =\002,i5,\002, "
"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, i__5;
/* Builtin functions */
/* Subroutine */ int s_copy(char *, char *, ftnlen, ftnlen);
integer s_wsfe(cilist *), do_fio(integer *, char *, ftnlen), e_wsfe(void);
/* Local variables */
integer i__, j, k, n, i1, i2, in, kl, ku, nt, lda, npp, ioff, mode, imat,
info;
char path[3], dist[1];
integer irhs, nrhs;
char uplo[1], type__[1];
integer nrun;
extern /* Subroutine */ int alahd_(integer *, char *);
integer nfail, iseed[4];
extern doublereal dget06_(doublereal *, doublereal *);
extern logical lsame_(char *, char *);
doublereal rcond;
integer nimat;
doublereal anorm;
extern /* Subroutine */ int zget04_(integer *, integer *, doublecomplex *,
integer *, doublecomplex *, integer *, doublereal *, doublereal *
), zhpt01_(char *, integer *, doublecomplex *, doublecomplex *,
integer *, doublecomplex *, integer *, doublereal *, doublereal *);
integer iuplo, izero, nerrs;
extern /* Subroutine */ int zppt02_(char *, integer *, integer *,
doublecomplex *, doublecomplex *, integer *, doublecomplex *,
integer *, doublereal *, doublereal *), zppt03_(char *,
integer *, doublecomplex *, doublecomplex *, doublecomplex *,
integer *, doublereal *, doublereal *, doublereal *);
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 *);
char xtype[1];
extern /* Subroutine */ int zlatb4_(char *, integer *, integer *, integer
*, char *, integer *, integer *, doublereal *, integer *,
doublereal *, char *), alaerh_(char *,
char *, integer *, integer *, char *, integer *, integer *,
integer *, integer *, integer *, integer *, integer *, integer *,
integer *);
doublereal rcondc;
char packit[1];
extern /* Subroutine */ int alasum_(char *, integer *, integer *, integer
*, integer *);
doublereal cndnum;
extern /* Subroutine */ int zlaipd_(integer *, doublecomplex *, integer *,
integer *);
logical trfcon;
extern doublereal zlanhp_(char *, char *, integer *, doublecomplex *,
doublereal *);
extern /* Subroutine */ int zhpcon_(char *, integer *, doublecomplex *,
integer *, doublereal *, doublereal *, doublecomplex *, integer *), 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 *), zlatms_(integer *, integer *, char *,
integer *, char *, doublereal *, integer *, doublereal *,
doublereal *, integer *, integer *, char *, doublecomplex *,
integer *, doublecomplex *, integer *),
zhprfs_(char *, integer *, integer *, doublecomplex *,
doublecomplex *, integer *, doublecomplex *, integer *,
doublecomplex *, integer *, doublereal *, doublereal *,
doublecomplex *, doublereal *, integer *), zhptrf_(char *,
integer *, doublecomplex *, integer *, integer *);
doublereal result[8];
extern /* Subroutine */ int zhptri_(char *, integer *, doublecomplex *,
integer *, doublecomplex *, integer *), zhptrs_(char *,
integer *, integer *, doublecomplex *, integer *, doublecomplex *,
integer *, integer *), zerrsy_(char *, integer *)
;
/* Fortran I/O blocks */
static cilist io___38 = { 0, 0, 0, fmt_9999, 0 };
static cilist io___41 = { 0, 0, 0, fmt_9998, 0 };
static cilist io___43 = { 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 */
/* ======= */
/* ZCHKHP tests ZHPTRF, -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(2,NSMAX)) */
/* RWORK (workspace) DOUBLE PRECISION array, */
/* dimension (NMAX+2*NSMAX) */
/* IWORK (workspace) INTEGER array, dimension (NMAX) */
/* NOUT (input) INTEGER */
/* The unit number for output. */
/* ===================================================================== */
/* .. Parameters .. */
/* .. */
/* .. Local Scalars .. */
/* .. */
/* .. Local Arrays .. */
/* .. */
/* .. External Functions .. */
/* .. */
/* .. External Subroutines .. */
/* .. */
/* .. Intrinsic Functions .. */
/* .. */
/* .. Scalars in Common .. */
/* .. */
/* .. Common blocks .. */
/* .. */
/* .. Data statements .. */
/* Parameter adjustments */
--iwork;
--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, "HP", (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) {
zerrsy_(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 = 10;
if (n <= 0) {
nimat = 1;
}
izero = 0;
i__2 = nimat;
for (imat = 1; imat <= i__2; ++imat) {
/* Do the tests only if DOTYPE( IMAT ) is true. */
if (! dotype[imat]) {
goto L160;
}
/* Skip types 3, 4, 5, or 6 if the matrix size is too small. */
zerot = imat >= 3 && imat <= 6;
if (zerot && n < imat - 2) {
goto L160;
}
/* Do first for UPLO = 'U', then for UPLO = 'L' */
for (iuplo = 1; iuplo <= 2; ++iuplo) {
*(unsigned char *)uplo = *(unsigned char *)&uplos[iuplo - 1];
if (lsame_(uplo, "U")) {
*(unsigned char *)packit = 'C';
} else {
*(unsigned char *)packit = 'R';
}
/* 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 L150;
}
/* For types 3-6, zero one or more rows and columns 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;
}
if (imat < 6) {
/* Set row and column IZERO to zero. */
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 {
ioff = 0;
if (iuplo == 1) {
/* Set the first IZERO rows and columns to zero. */
i__3 = n;
for (j = 1; j <= i__3; ++j) {
i2 = min(j,izero);
i__4 = i2;
for (i__ = 1; i__ <= i__4; ++i__) {
i__5 = ioff + i__;
a[i__5].r = 0., a[i__5].i = 0.;
/* L60: */
}
ioff += j;
/* L70: */
}
} else {
/* Set the last IZERO rows and columns to zero. */
i__3 = n;
for (j = 1; j <= i__3; ++j) {
i1 = max(j,izero);
i__4 = n;
for (i__ = i1; i__ <= i__4; ++i__) {
i__5 = ioff + i__;
a[i__5].r = 0., a[i__5].i = 0.;
/* L80: */
}
ioff = ioff + n - j;
/* L90: */
}
}
}
} 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*D*L' or U*D*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, "ZHPTRF", (ftnlen)32, (ftnlen)6);
zhptrf_(uplo, &n, &afac[1], &iwork[1], &info);
/* Adjust the expected value of INFO to account for */
/* pivoting. */
k = izero;
if (k > 0) {
L100:
if (iwork[k] < 0) {
if (iwork[k] != -k) {
k = -iwork[k];
goto L100;
}
} else if (iwork[k] != k) {
k = iwork[k];
goto L100;
}
}
/* Check error code from ZHPTRF. */
if (info != k) {
alaerh_(path, "ZHPTRF", &info, &k, uplo, &n, &n, &c_n1, &
c_n1, &c_n1, &imat, &nfail, &nerrs, nout);
}
if (info != 0) {
trfcon = TRUE_;
} else {
trfcon = FALSE_;
}
/* + TEST 1 */
/* Reconstruct matrix from factors and compute residual. */
zhpt01_(uplo, &n, &a[1], &afac[1], &iwork[1], &ainv[1], &lda,
&rwork[1], result);
nt = 1;
/* + TEST 2 */
/* Form the inverse and compute the residual. */
if (! trfcon) {
zcopy_(&npp, &afac[1], &c__1, &ainv[1], &c__1);
s_copy(srnamc_1.srnamt, "ZHPTRI", (ftnlen)32, (ftnlen)6);
zhptri_(uplo, &n, &ainv[1], &iwork[1], &work[1], &info);
/* Check error code from ZHPTRI. */
if (info != 0) {
alaerh_(path, "ZHPTRI", &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]);
nt = 2;
}
/* 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) {
alahd_(nout, path);
}
io___38.ciunit = *nout;
s_wsfe(&io___38);
do_fio(&c__1, uplo, (ftnlen)1);
do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&imat, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&k, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&result[k - 1], (ftnlen)sizeof(
doublereal));
e_wsfe();
++nfail;
}
/* L110: */
}
nrun += nt;
/* Do only the condition estimate if INFO is not 0. */
if (trfcon) {
rcondc = 0.;
goto L140;
}
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);
*(unsigned char *)xtype = 'C';
zlacpy_("Full", &n, &nrhs, &b[1], &lda, &x[1], &lda);
s_copy(srnamc_1.srnamt, "ZHPTRS", (ftnlen)32, (ftnlen)6);
zhptrs_(uplo, &n, &nrhs, &afac[1], &iwork[1], &x[1], &lda,
&info);
/* Check error code from ZHPTRS. */
if (info != 0) {
alaerh_(path, "ZHPTRS", &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, "ZHPRFS", (ftnlen)32, (ftnlen)6);
zhprfs_(uplo, &n, &nrhs, &a[1], &afac[1], &iwork[1], &b[1]
, &lda, &x[1], &lda, &rwork[1], &rwork[nrhs + 1],
&work[1], &rwork[(nrhs << 1) + 1], &info);
/* Check error code from ZHPRFS. */
if (info != 0) {
alaerh_(path, "ZHPRFS", &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___41.ciunit = *nout;
s_wsfe(&io___41);
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;
}
/* L120: */
}
nrun += 5;
/* L130: */
}
/* + TEST 8 */
/* Get an estimate of RCOND = 1/CNDNUM. */
L140:
anorm = zlanhp_("1", uplo, &n, &a[1], &rwork[1]);
s_copy(srnamc_1.srnamt, "ZHPCON", (ftnlen)32, (ftnlen)6);
zhpcon_(uplo, &n, &afac[1], &iwork[1], &anorm, &rcond, &work[
1], &info);
/* Check error code from ZHPCON. */
if (info != 0) {
alaerh_(path, "ZHPCON", &info, &c__0, uplo, &n, &n, &c_n1,
&c_n1, &c_n1, &imat, &nfail, &nerrs, nout);
}
result[7] = dget06_(&rcond, &rcondc);
/* Print the test ratio if it is .GE. THRESH. */
if (result[7] >= *thresh) {
if (nfail == 0 && nerrs == 0) {
alahd_(nout, path);
}
io___43.ciunit = *nout;
s_wsfe(&io___43);
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;
L150:
;
}
L160:
;
}
/* L170: */
}
/* Print a summary of the results. */
alasum_(path, nout, &nfail, &nrun, &nerrs);
return 0;
/* End of ZCHKHP */
} /* zchkhp_ */
/* Subroutine */ int zchkgb_(logical *dotype, integer *nm, integer *mval,
integer *nn, integer *nval, integer *nnb, integer *nbval, integer *
nns, integer *nsval, doublereal *thresh, logical *tsterr,
doublecomplex *a, integer *la, doublecomplex *afac, integer *lafac,
doublecomplex *b, doublecomplex *x, doublecomplex *xact,
doublecomplex *work, doublereal *rwork, integer *iwork, integer *nout)
{
/* Initialized data */
static integer iseedy[4] = { 1988,1989,1990,1991 };
static char transs[1*3] = "N" "T" "C";
/* Format strings */
static char fmt_9999[] = "(\002 *** In ZCHKGB, LA=\002,i5,\002 is too sm"
"all for M=\002,i5,\002, N=\002,i5,\002, KL=\002,i4,\002, KU=\002"
",i4,/\002 ==> Increase LA to at least \002,i5)";
static char fmt_9998[] = "(\002 *** In ZCHKGB, LAFAC=\002,i5,\002 is too"
" small for M=\002,i5,\002, N=\002,i5,\002, KL=\002,i4,\002, KU"
"=\002,i4,/\002 ==> Increase LAFAC to at least \002,i5)";
static char fmt_9997[] = "(\002 M =\002,i5,\002, N =\002,i5,\002, KL="
"\002,i5,\002, KU=\002,i5,\002, NB =\002,i4,\002, type \002,i1"
",\002, test(\002,i1,\002)=\002,g12.5)";
static char fmt_9996[] = "(\002 TRANS='\002,a1,\002', N=\002,i5,\002, "
"KL=\002,i5,\002, KU=\002,i5,\002, NRHS=\002,i3,\002, type \002,i"
"1,\002, test(\002,i1,\002)=\002,g12.5)";
static char fmt_9995[] = "(\002 NORM ='\002,a1,\002', N=\002,i5,\002, "
"KL=\002,i5,\002, KU=\002,i5,\002,\002,10x,\002 type \002,i1,\002"
", test(\002,i1,\002)=\002,g12.5)";
/* System generated locals */
integer i__1, i__2, i__3, i__4, i__5, i__6, i__7, i__8, i__9, i__10,
i__11;
/* Builtin functions */
/* Subroutine */ int s_copy(char *, char *, ftnlen, ftnlen);
integer s_wsfe(cilist *), do_fio(integer *, char *, ftnlen), e_wsfe(void);
/* Local variables */
integer i__, j, k, m, n, i1, i2, nb, im, in, kl, ku, lda, ldb, inb, ikl,
nkl, iku, nku, ioff, mode, koff, imat, info;
char path[3], dist[1];
integer irhs, nrhs;
char norm[1], type__[1];
integer nrun;
extern /* Subroutine */ int alahd_(integer *, char *);
integer nfail, iseed[4];
extern doublereal dget06_(doublereal *, doublereal *);
doublereal rcond;
extern /* Subroutine */ int zgbt01_(integer *, integer *, integer *,
integer *, doublecomplex *, integer *, doublecomplex *, integer *,
integer *, doublecomplex *, doublereal *);
integer nimat, klval[4];
extern /* Subroutine */ int zgbt02_(char *, integer *, integer *, integer
*, integer *, integer *, doublecomplex *, integer *,
doublecomplex *, integer *, doublecomplex *, integer *,
doublereal *), zgbt05_(char *, integer *, integer *,
integer *, integer *, doublecomplex *, integer *, doublecomplex *,
integer *, doublecomplex *, integer *, doublecomplex *, integer *
, doublereal *, doublereal *, doublereal *);
doublereal anorm;
integer itran;
extern /* Subroutine */ int zget04_(integer *, integer *, doublecomplex *,
integer *, doublecomplex *, integer *, doublereal *, doublereal *
);
integer kuval[4];
char trans[1];
integer izero, nerrs;
logical zerot;
extern /* Subroutine */ int zcopy_(integer *, doublecomplex *, integer *,
doublecomplex *, integer *);
char xtype[1];
extern /* Subroutine */ int zlatb4_(char *, integer *, integer *, integer
*, char *, integer *, integer *, doublereal *, integer *,
doublereal *, char *);
integer ldafac;
extern /* Subroutine */ int alaerh_(char *, char *, integer *, integer *,
char *, integer *, integer *, integer *, integer *, integer *,
integer *, integer *, integer *, integer *);
doublereal rcondc;
extern doublereal zlangb_(char *, integer *, integer *, integer *,
doublecomplex *, integer *, doublereal *);
doublereal rcondi;
extern doublereal zlange_(char *, integer *, integer *, doublecomplex *,
integer *, doublereal *);
extern /* Subroutine */ int alasum_(char *, integer *, integer *, integer
*, integer *);
doublereal cndnum, anormi, rcondo;
extern /* Subroutine */ int zgbcon_(char *, integer *, integer *, integer
*, doublecomplex *, integer *, integer *, doublereal *,
doublereal *, doublecomplex *, doublereal *, integer *);
doublereal ainvnm;
logical trfcon;
doublereal anormo;
extern /* Subroutine */ int xlaenv_(integer *, integer *), zerrge_(char *,
integer *), zgbrfs_(char *, integer *, integer *,
integer *, integer *, doublecomplex *, integer *, doublecomplex *,
integer *, integer *, doublecomplex *, integer *, doublecomplex *
, integer *, doublereal *, doublereal *, doublecomplex *,
doublereal *, integer *), zgbtrf_(integer *, integer *,
integer *, integer *, doublecomplex *, integer *, integer *,
integer *), 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 *), zgbtrs_(char *, integer *, integer *, integer *, integer
*, doublecomplex *, integer *, integer *, doublecomplex *,
integer *, integer *), zlatms_(integer *, integer *, char
*, integer *, char *, doublereal *, integer *, doublereal *,
doublereal *, integer *, integer *, char *, doublecomplex *,
integer *, doublecomplex *, integer *);
doublereal result[7];
/* Fortran I/O blocks */
static cilist io___25 = { 0, 0, 0, fmt_9999, 0 };
static cilist io___26 = { 0, 0, 0, fmt_9998, 0 };
static cilist io___45 = { 0, 0, 0, fmt_9997, 0 };
static cilist io___59 = { 0, 0, 0, fmt_9996, 0 };
static cilist io___61 = { 0, 0, 0, fmt_9995, 0 };
/* -- LAPACK test routine (version 3.1) -- */
/* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */
/* November 2006 */
/* .. Scalar Arguments .. */
/* .. */
/* .. Array Arguments .. */
/* .. */
/* Purpose */
/* ======= */
/* ZCHKGB tests ZGBTRF, -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. */
/* NM (input) INTEGER */
/* The number of values of M contained in the vector MVAL. */
/* MVAL (input) INTEGER array, dimension (NM) */
/* The values of the matrix row dimension M. */
/* 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 column dimension N. */
/* NNB (input) INTEGER */
/* The number of values of NB contained in the vector NBVAL. */
/* NBVAL (input) INTEGER array, dimension (NBVAL) */
/* The values of the blocksize NB. */
/* NNS (input) INTEGER */
/* The number of values of NRHS contained in the vector NSVAL. */
/* NSVAL (input) INTEGER array, dimension (NNS) */
/* The values of the number of right hand sides NRHS. */
/* THRESH (input) DOUBLE PRECISION */
/* The threshold value for the test ratios. A result is */
/* included in the output file if RESULT >= THRESH. To have */
/* every test ratio printed, use THRESH = 0. */
/* TSTERR (input) LOGICAL */
/* Flag that indicates whether error exits are to be tested. */
/* A (workspace) COMPLEX*16 array, dimension (LA) */
/* LA (input) INTEGER */
/* The length of the array A. LA >= (KLMAX+KUMAX+1)*NMAX */
/* where KLMAX is the largest entry in the local array KLVAL, */
/* KUMAX is the largest entry in the local array KUVAL and */
/* NMAX is the largest entry in the input array NVAL. */
/* AFAC (workspace) COMPLEX*16 array, dimension (LAFAC) */
/* LAFAC (input) INTEGER */
/* The length of the array AFAC. LAFAC >= (2*KLMAX+KUMAX+1)*NMAX */
/* where KLMAX is the largest entry in the local array KLVAL, */
/* KUMAX is the largest entry in the local array KUVAL and */
/* NMAX is the largest entry in the input array NVAL. */
/* B (workspace) COMPLEX*16 array, dimension (NMAX*NSMAX) */
/* 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,NMAX)) */
/* RWORK (workspace) DOUBLE PRECISION array, dimension */
/* (max(NMAX,2*NSMAX)) */
/* IWORK (workspace) INTEGER array, dimension (NMAX) */
/* NOUT (input) INTEGER */
/* The unit number for output. */
/* ===================================================================== */
/* .. Parameters .. */
/* .. */
/* .. Local Scalars .. */
/* .. */
/* .. Local Arrays .. */
/* .. */
/* .. External Functions .. */
/* .. */
/* .. External Subroutines .. */
/* .. */
/* .. Intrinsic Functions .. */
/* .. */
/* .. Scalars in Common .. */
/* .. */
/* .. Common blocks .. */
/* .. */
/* .. Data statements .. */
/* Parameter adjustments */
--iwork;
--rwork;
--work;
--xact;
--x;
--b;
--afac;
--a;
--nsval;
--nbval;
--nval;
--mval;
--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, "GB", (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) {
zerrge_(path, nout);
}
infoc_1.infot = 0;
/* Initialize the first value for the lower and upper bandwidths. */
klval[0] = 0;
kuval[0] = 0;
/* Do for each value of M in MVAL */
i__1 = *nm;
for (im = 1; im <= i__1; ++im) {
m = mval[im];
/* Set values to use for the lower bandwidth. */
klval[1] = m + (m + 1) / 4;
/* KLVAL( 2 ) = MAX( M-1, 0 ) */
klval[2] = (m * 3 - 1) / 4;
klval[3] = (m + 1) / 4;
/* Do for each value of N in NVAL */
i__2 = *nn;
for (in = 1; in <= i__2; ++in) {
n = nval[in];
*(unsigned char *)xtype = 'N';
/* Set values to use for the upper bandwidth. */
kuval[1] = n + (n + 1) / 4;
/* KUVAL( 2 ) = MAX( N-1, 0 ) */
kuval[2] = (n * 3 - 1) / 4;
kuval[3] = (n + 1) / 4;
/* Set limits on the number of loop iterations. */
/* Computing MIN */
i__3 = m + 1;
nkl = min(i__3,4);
if (n == 0) {
nkl = 2;
}
/* Computing MIN */
i__3 = n + 1;
nku = min(i__3,4);
if (m == 0) {
nku = 2;
}
nimat = 8;
if (m <= 0 || n <= 0) {
nimat = 1;
}
i__3 = nkl;
for (ikl = 1; ikl <= i__3; ++ikl) {
/* Do for KL = 0, (5*M+1)/4, (3M-1)/4, and (M+1)/4. This */
/* order makes it easier to skip redundant values for small */
/* values of M. */
kl = klval[ikl - 1];
i__4 = nku;
for (iku = 1; iku <= i__4; ++iku) {
/* Do for KU = 0, (5*N+1)/4, (3N-1)/4, and (N+1)/4. This */
/* order makes it easier to skip redundant values for */
/* small values of N. */
ku = kuval[iku - 1];
/* Check that A and AFAC are big enough to generate this */
/* matrix. */
lda = kl + ku + 1;
ldafac = (kl << 1) + ku + 1;
if (lda * n > *la || ldafac * n > *lafac) {
if (nfail == 0 && nerrs == 0) {
alahd_(nout, path);
}
if (n * (kl + ku + 1) > *la) {
io___25.ciunit = *nout;
s_wsfe(&io___25);
do_fio(&c__1, (char *)&(*la), (ftnlen)sizeof(
integer));
do_fio(&c__1, (char *)&m, (ftnlen)sizeof(integer))
;
do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer))
;
do_fio(&c__1, (char *)&kl, (ftnlen)sizeof(integer)
);
do_fio(&c__1, (char *)&ku, (ftnlen)sizeof(integer)
);
i__5 = n * (kl + ku + 1);
do_fio(&c__1, (char *)&i__5, (ftnlen)sizeof(
integer));
e_wsfe();
++nerrs;
}
if (n * ((kl << 1) + ku + 1) > *lafac) {
io___26.ciunit = *nout;
s_wsfe(&io___26);
do_fio(&c__1, (char *)&(*lafac), (ftnlen)sizeof(
integer));
do_fio(&c__1, (char *)&m, (ftnlen)sizeof(integer))
;
do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer))
;
do_fio(&c__1, (char *)&kl, (ftnlen)sizeof(integer)
);
do_fio(&c__1, (char *)&ku, (ftnlen)sizeof(integer)
);
i__5 = n * ((kl << 1) + ku + 1);
do_fio(&c__1, (char *)&i__5, (ftnlen)sizeof(
integer));
e_wsfe();
++nerrs;
}
goto L130;
}
i__5 = nimat;
for (imat = 1; imat <= i__5; ++imat) {
/* Do the tests only if DOTYPE( IMAT ) is true. */
if (! dotype[imat]) {
goto L120;
}
/* Skip types 2, 3, or 4 if the matrix size is too */
/* small. */
zerot = imat >= 2 && imat <= 4;
if (zerot && n < imat - 1) {
goto L120;
}
if (! zerot || ! dotype[1]) {
/* Set up parameters with ZLATB4 and generate a */
/* test matrix with ZLATMS. */
zlatb4_(path, &imat, &m, &n, type__, &kl, &ku, &
anorm, &mode, &cndnum, dist);
/* Computing MAX */
i__6 = 1, i__7 = ku + 2 - n;
koff = max(i__6,i__7);
i__6 = koff - 1;
for (i__ = 1; i__ <= i__6; ++i__) {
i__7 = i__;
a[i__7].r = 0., a[i__7].i = 0.;
/* L20: */
}
s_copy(srnamc_1.srnamt, "ZLATMS", (ftnlen)6, (
ftnlen)6);
zlatms_(&m, &n, dist, iseed, type__, &rwork[1], &
mode, &cndnum, &anorm, &kl, &ku, "Z", &a[
koff], &lda, &work[1], &info);
/* Check the error code from ZLATMS. */
if (info != 0) {
alaerh_(path, "ZLATMS", &info, &c__0, " ", &m,
&n, &kl, &ku, &c_n1, &imat, &nfail, &
nerrs, nout);
goto L120;
}
} else if (izero > 0) {
/* Use the same matrix for types 3 and 4 as for */
/* type 2 by copying back the zeroed out column. */
i__6 = i2 - i1 + 1;
zcopy_(&i__6, &b[1], &c__1, &a[ioff + i1], &c__1);
}
/* For types 2, 3, and 4, zero one or more columns of */
/* the matrix to test that INFO is returned correctly. */
izero = 0;
if (zerot) {
if (imat == 2) {
izero = 1;
} else if (imat == 3) {
izero = min(m,n);
} else {
izero = min(m,n) / 2 + 1;
}
ioff = (izero - 1) * lda;
if (imat < 4) {
/* Store the column to be zeroed out in B. */
/* Computing MAX */
i__6 = 1, i__7 = ku + 2 - izero;
i1 = max(i__6,i__7);
/* Computing MIN */
i__6 = kl + ku + 1, i__7 = ku + 1 + (m -
izero);
i2 = min(i__6,i__7);
i__6 = i2 - i1 + 1;
zcopy_(&i__6, &a[ioff + i1], &c__1, &b[1], &
c__1);
i__6 = i2;
for (i__ = i1; i__ <= i__6; ++i__) {
i__7 = ioff + i__;
a[i__7].r = 0., a[i__7].i = 0.;
/* L30: */
}
} else {
i__6 = n;
for (j = izero; j <= i__6; ++j) {
/* Computing MAX */
i__7 = 1, i__8 = ku + 2 - j;
/* Computing MIN */
i__10 = kl + ku + 1, i__11 = ku + 1 + (m
- j);
i__9 = min(i__10,i__11);
for (i__ = max(i__7,i__8); i__ <= i__9;
++i__) {
i__7 = ioff + i__;
a[i__7].r = 0., a[i__7].i = 0.;
/* L40: */
}
ioff += lda;
/* L50: */
}
}
}
/* These lines, if used in place of the calls in the */
/* loop over INB, cause the code to bomb on a Sun */
/* SPARCstation. */
/* ANORMO = ZLANGB( 'O', N, KL, KU, A, LDA, RWORK ) */
/* ANORMI = ZLANGB( 'I', N, KL, KU, A, LDA, RWORK ) */
/* Do for each blocksize in NBVAL */
i__6 = *nnb;
for (inb = 1; inb <= i__6; ++inb) {
nb = nbval[inb];
xlaenv_(&c__1, &nb);
/* Compute the LU factorization of the band matrix. */
if (m > 0 && n > 0) {
i__9 = kl + ku + 1;
zlacpy_("Full", &i__9, &n, &a[1], &lda, &afac[
kl + 1], &ldafac);
}
s_copy(srnamc_1.srnamt, "ZGBTRF", (ftnlen)6, (
ftnlen)6);
zgbtrf_(&m, &n, &kl, &ku, &afac[1], &ldafac, &
iwork[1], &info);
/* Check error code from ZGBTRF. */
if (info != izero) {
alaerh_(path, "ZGBTRF", &info, &izero, " ", &
m, &n, &kl, &ku, &nb, &imat, &nfail, &
nerrs, nout);
}
trfcon = FALSE_;
/* + TEST 1 */
/* Reconstruct matrix from factors and compute */
/* residual. */
zgbt01_(&m, &n, &kl, &ku, &a[1], &lda, &afac[1], &
ldafac, &iwork[1], &work[1], result);
/* Print information about the tests so far that */
/* did not pass the threshold. */
if (result[0] >= *thresh) {
if (nfail == 0 && nerrs == 0) {
alahd_(nout, path);
}
io___45.ciunit = *nout;
s_wsfe(&io___45);
do_fio(&c__1, (char *)&m, (ftnlen)sizeof(
integer));
do_fio(&c__1, (char *)&n, (ftnlen)sizeof(
integer));
do_fio(&c__1, (char *)&kl, (ftnlen)sizeof(
integer));
do_fio(&c__1, (char *)&ku, (ftnlen)sizeof(
integer));
do_fio(&c__1, (char *)&nb, (ftnlen)sizeof(
integer));
do_fio(&c__1, (char *)&imat, (ftnlen)sizeof(
integer));
do_fio(&c__1, (char *)&c__1, (ftnlen)sizeof(
integer));
do_fio(&c__1, (char *)&result[0], (ftnlen)
sizeof(doublereal));
e_wsfe();
++nfail;
}
++nrun;
/* Skip the remaining tests if this is not the */
/* first block size or if M .ne. N. */
if (inb > 1 || m != n) {
goto L110;
}
anormo = zlangb_("O", &n, &kl, &ku, &a[1], &lda, &
rwork[1]);
anormi = zlangb_("I", &n, &kl, &ku, &a[1], &lda, &
rwork[1]);
if (info == 0) {
/* Form the inverse of A so we can get a good */
/* estimate of CNDNUM = norm(A) * norm(inv(A)). */
ldb = max(1,n);
zlaset_("Full", &n, &n, &c_b61, &c_b62, &work[
1], &ldb);
s_copy(srnamc_1.srnamt, "ZGBTRS", (ftnlen)6, (
ftnlen)6);
zgbtrs_("No transpose", &n, &kl, &ku, &n, &
afac[1], &ldafac, &iwork[1], &work[1],
&ldb, &info);
/* Compute the 1-norm condition number of A. */
ainvnm = zlange_("O", &n, &n, &work[1], &ldb,
&rwork[1]);
if (anormo <= 0. || ainvnm <= 0.) {
rcondo = 1.;
} else {
rcondo = 1. / anormo / ainvnm;
}
/* Compute the infinity-norm condition number of */
/* A. */
ainvnm = zlange_("I", &n, &n, &work[1], &ldb,
&rwork[1]);
if (anormi <= 0. || ainvnm <= 0.) {
rcondi = 1.;
} else {
rcondi = 1. / anormi / ainvnm;
}
} else {
/* Do only the condition estimate if INFO.NE.0. */
trfcon = TRUE_;
rcondo = 0.;
rcondi = 0.;
}
/* Skip the solve tests if the matrix is singular. */
if (trfcon) {
goto L90;
}
i__9 = *nns;
for (irhs = 1; irhs <= i__9; ++irhs) {
nrhs = nsval[irhs];
*(unsigned char *)xtype = 'N';
for (itran = 1; itran <= 3; ++itran) {
*(unsigned char *)trans = *(unsigned char
*)&transs[itran - 1];
if (itran == 1) {
rcondc = rcondo;
*(unsigned char *)norm = 'O';
} else {
rcondc = rcondi;
*(unsigned char *)norm = 'I';
}
/* + TEST 2: */
/* Solve and compute residual for A * X = B. */
s_copy(srnamc_1.srnamt, "ZLARHS", (ftnlen)
6, (ftnlen)6);
zlarhs_(path, xtype, " ", trans, &n, &n, &
kl, &ku, &nrhs, &a[1], &lda, &
xact[1], &ldb, &b[1], &ldb, iseed,
&info);
*(unsigned char *)xtype = 'C';
zlacpy_("Full", &n, &nrhs, &b[1], &ldb, &
x[1], &ldb);
s_copy(srnamc_1.srnamt, "ZGBTRS", (ftnlen)
6, (ftnlen)6);
zgbtrs_(trans, &n, &kl, &ku, &nrhs, &afac[
1], &ldafac, &iwork[1], &x[1], &
ldb, &info);
/* Check error code from ZGBTRS. */
if (info != 0) {
alaerh_(path, "ZGBTRS", &info, &c__0,
trans, &n, &n, &kl, &ku, &
c_n1, &imat, &nfail, &nerrs,
nout);
}
zlacpy_("Full", &n, &nrhs, &b[1], &ldb, &
work[1], &ldb);
zgbt02_(trans, &m, &n, &kl, &ku, &nrhs, &
a[1], &lda, &x[1], &ldb, &work[1],
&ldb, &result[1]);
/* + TEST 3: */
/* Check solution from generated exact */
/* solution. */
zget04_(&n, &nrhs, &x[1], &ldb, &xact[1],
&ldb, &rcondc, &result[2]);
/* + TESTS 4, 5, 6: */
/* Use iterative refinement to improve the */
/* solution. */
s_copy(srnamc_1.srnamt, "ZGBRFS", (ftnlen)
6, (ftnlen)6);
zgbrfs_(trans, &n, &kl, &ku, &nrhs, &a[1],
&lda, &afac[1], &ldafac, &iwork[
1], &b[1], &ldb, &x[1], &ldb, &
rwork[1], &rwork[nrhs + 1], &work[
1], &rwork[(nrhs << 1) + 1], &
info);
/* Check error code from ZGBRFS. */
if (info != 0) {
alaerh_(path, "ZGBRFS", &info, &c__0,
trans, &n, &n, &kl, &ku, &
nrhs, &imat, &nfail, &nerrs,
nout);
}
zget04_(&n, &nrhs, &x[1], &ldb, &xact[1],
&ldb, &rcondc, &result[3]);
zgbt05_(trans, &n, &kl, &ku, &nrhs, &a[1],
&lda, &b[1], &ldb, &x[1], &ldb, &
xact[1], &ldb, &rwork[1], &rwork[
nrhs + 1], &result[4]);
/* Print information about the tests that did */
/* not pass the threshold. */
for (k = 2; k <= 6; ++k) {
if (result[k - 1] >= *thresh) {
if (nfail == 0 && nerrs == 0) {
alahd_(nout, path);
}
io___59.ciunit = *nout;
s_wsfe(&io___59);
do_fio(&c__1, trans, (ftnlen)1);
do_fio(&c__1, (char *)&n, (ftnlen)
sizeof(integer));
do_fio(&c__1, (char *)&kl, (
ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&ku, (
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;
}
/* L60: */
}
nrun += 5;
/* L70: */
}
/* L80: */
}
/* + TEST 7: */
/* Get an estimate of RCOND = 1/CNDNUM. */
L90:
for (itran = 1; itran <= 2; ++itran) {
if (itran == 1) {
anorm = anormo;
rcondc = rcondo;
*(unsigned char *)norm = 'O';
} else {
anorm = anormi;
rcondc = rcondi;
*(unsigned char *)norm = 'I';
}
s_copy(srnamc_1.srnamt, "ZGBCON", (ftnlen)6, (
ftnlen)6);
zgbcon_(norm, &n, &kl, &ku, &afac[1], &ldafac,
&iwork[1], &anorm, &rcond, &work[1],
&rwork[1], &info);
/* Check error code from ZGBCON. */
if (info != 0) {
alaerh_(path, "ZGBCON", &info, &c__0,
norm, &n, &n, &kl, &ku, &c_n1, &
imat, &nfail, &nerrs, nout);
}
result[6] = dget06_(&rcond, &rcondc);
/* Print information about the tests that did */
/* not pass the threshold. */
if (result[6] >= *thresh) {
if (nfail == 0 && nerrs == 0) {
alahd_(nout, path);
}
io___61.ciunit = *nout;
s_wsfe(&io___61);
do_fio(&c__1, norm, (ftnlen)1);
do_fio(&c__1, (char *)&n, (ftnlen)sizeof(
integer));
do_fio(&c__1, (char *)&kl, (ftnlen)sizeof(
integer));
do_fio(&c__1, (char *)&ku, (ftnlen)sizeof(
integer));
do_fio(&c__1, (char *)&imat, (ftnlen)
sizeof(integer));
do_fio(&c__1, (char *)&c__7, (ftnlen)
sizeof(integer));
do_fio(&c__1, (char *)&result[6], (ftnlen)
sizeof(doublereal));
e_wsfe();
++nfail;
}
++nrun;
/* L100: */
}
L110:
;
}
L120:
;
}
L130:
;
}
/* L140: */
}
/* L150: */
}
/* L160: */
}
/* Print a summary of the results. */
alasum_(path, nout, &nfail, &nrun, &nerrs);
return 0;
/* End of ZCHKGB */
} /* zchkgb_ */
/* Subroutine */ int dchkpb_(logical *dotype, integer *nn, integer *nval,
integer *nnb, integer *nbval, integer *nns, integer *nsval,
doublereal *thresh, logical *tsterr, integer *nmax, doublereal *a,
doublereal *afac, doublereal *ainv, doublereal *b, doublereal *x,
doublereal *xact, doublereal *work, doublereal *rwork, integer *iwork,
integer *nout)
{
/* Initialized data */
static integer iseedy[4] = { 1988,1989,1990,1991 };
/* Format strings */
static char fmt_9999[] = "(\002 UPLO='\002,a1,\002', N=\002,i5,\002, KD"
"=\002,i5,\002, NB=\002,i4,\002, type \002,i2,\002, test \002,i2"
",\002, ratio= \002,g12.5)";
static char fmt_9998[] = "(\002 UPLO='\002,a1,\002', N=\002,i5,\002, KD"
"=\002,i5,\002, NRHS=\002,i3,\002, type \002,i2,\002, test(\002,i"
"2,\002) = \002,g12.5)";
static char fmt_9997[] = "(\002 UPLO='\002,a1,\002', N=\002,i5,\002, KD"
"=\002,i5,\002,\002,10x,\002 type \002,i2,\002, test(\002,i2,\002"
") = \002,g12.5)";
/* System generated locals */
integer i__1, i__2, i__3, i__4, i__5, i__6;
/* 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 integer ldab, ioff, mode, koff, imat, info;
static char path[3], dist[1];
static integer irhs, nrhs;
static char uplo[1], type__[1];
static integer nrun, i__;
extern /* Subroutine */ int alahd_(integer *, char *);
static integer k, n;
extern /* Subroutine */ int dget04_(integer *, integer *, doublereal *,
integer *, doublereal *, integer *, doublereal *, doublereal *);
static integer nfail, iseed[4];
extern doublereal dget06_(doublereal *, doublereal *);
extern /* Subroutine */ int dpbt01_(char *, integer *, integer *,
doublereal *, integer *, doublereal *, integer *, doublereal *,
doublereal *), dpbt02_(char *, integer *, integer *,
integer *, doublereal *, integer *, doublereal *, integer *,
doublereal *, integer *, doublereal *, doublereal *),
dpbt05_(char *, integer *, integer *, integer *, doublereal *,
integer *, doublereal *, integer *, doublereal *, integer *,
doublereal *, integer *, doublereal *, doublereal *, doublereal *);
static integer kdval[4];
static doublereal rcond;
static integer nimat;
static doublereal anorm;
extern /* Subroutine */ int dcopy_(integer *, doublereal *, integer *,
doublereal *, integer *), dswap_(integer *, doublereal *, integer
*, doublereal *, integer *);
static integer iuplo, izero, i1, i2, nerrs;
static logical zerot;
static char xtype[1];
extern /* Subroutine */ int dlatb4_(char *, integer *, integer *, integer
*, char *, integer *, integer *, doublereal *, integer *,
doublereal *, char *);
static integer kd, nb, in, kl;
extern doublereal dlange_(char *, integer *, integer *, doublereal *,
integer *, doublereal *);
extern /* Subroutine */ int alaerh_(char *, char *, integer *, integer *,
char *, integer *, integer *, integer *, integer *, integer *,
integer *, integer *, integer *, integer *);
static integer iw, ku;
extern doublereal dlansb_(char *, char *, integer *, integer *,
doublereal *, integer *, doublereal *);
extern /* Subroutine */ int dpbcon_(char *, integer *, integer *,
doublereal *, integer *, doublereal *, doublereal *, doublereal *,
integer *, integer *);
static doublereal rcondc;
static char packit[1];
extern /* Subroutine */ int dlacpy_(char *, integer *, integer *,
doublereal *, integer *, doublereal *, integer *),
dlarhs_(char *, char *, char *, char *, integer *, integer *,
integer *, integer *, integer *, doublereal *, integer *,
doublereal *, integer *, doublereal *, integer *, integer *,
integer *), dlaset_(char *,
integer *, integer *, doublereal *, doublereal *, doublereal *,
integer *), dpbrfs_(char *, integer *, integer *, integer
*, doublereal *, integer *, doublereal *, integer *, doublereal *,
integer *, doublereal *, integer *, doublereal *, doublereal *,
doublereal *, integer *, integer *), dpbtrf_(char *,
integer *, integer *, doublereal *, integer *, integer *),
alasum_(char *, integer *, integer *, integer *, integer *);
static doublereal cndnum;
extern /* Subroutine */ int dlatms_(integer *, integer *, char *, integer
*, char *, doublereal *, integer *, doublereal *, doublereal *,
integer *, integer *, char *, doublereal *, integer *, doublereal
*, integer *);
static doublereal ainvnm;
extern /* Subroutine */ int derrpo_(char *, integer *), dpbtrs_(
char *, integer *, integer *, integer *, doublereal *, integer *,
doublereal *, integer *, integer *), xlaenv_(integer *,
integer *);
static doublereal result[7];
static integer lda, ikd, inb, nkd;
/* Fortran I/O blocks */
static cilist io___40 = { 0, 0, 0, fmt_9999, 0 };
static cilist io___46 = { 0, 0, 0, fmt_9998, 0 };
static cilist io___48 = { 0, 0, 0, fmt_9997, 0 };
/* -- LAPACK test routine (version 3.0) --
Univ. of Tennessee, Univ. of California Berkeley, NAG Ltd.,
Courant Institute, Argonne National Lab, and Rice University
December 7, 1999
Purpose
=======
DCHKPB tests DPBTRF, -TRS, -RFS, and -CON.
Arguments
=========
DOTYPE (input) LOGICAL array, dimension (NTYPES)
The matrix types to be used for testing. Matrices of type j
(for 1 <= j <= NTYPES) are used for testing if DOTYPE(j) =
.TRUE.; if DOTYPE(j) = .FALSE., then type j is not used.
NN (input) INTEGER
The number of values of N contained in the vector NVAL.
NVAL (input) INTEGER array, dimension (NN)
The values of the matrix dimension N.
NNB (input) INTEGER
The number of values of NB contained in the vector NBVAL.
NBVAL (input) INTEGER array, dimension (NBVAL)
The values of the blocksize NB.
NNS (input) INTEGER
The number of values of NRHS contained in the vector NSVAL.
NSVAL (input) INTEGER array, dimension (NNS)
The values of the number of right hand sides NRHS.
THRESH (input) DOUBLE PRECISION
The threshold value for the test ratios. A result is
included in the output file if RESULT >= THRESH. To have
every test ratio printed, use THRESH = 0.
TSTERR (input) LOGICAL
Flag that indicates whether error exits are to be tested.
NMAX (input) INTEGER
The maximum value permitted for N, used in dimensioning the
work arrays.
A (workspace) DOUBLE PRECISION array, dimension (NMAX*NMAX)
AFAC (workspace) DOUBLE PRECISION array, dimension (NMAX*NMAX)
AINV (workspace) DOUBLE PRECISION array, dimension (NMAX*NMAX)
B (workspace) DOUBLE PRECISION array, dimension (NMAX*NSMAX)
where NSMAX is the largest entry in NSVAL.
X (workspace) DOUBLE PRECISION array, dimension (NMAX*NSMAX)
XACT (workspace) DOUBLE PRECISION array, dimension (NMAX*NSMAX)
WORK (workspace) DOUBLE PRECISION array, dimension
(NMAX*max(3,NSMAX))
RWORK (workspace) DOUBLE PRECISION array, dimension
(max(NMAX,2*NSMAX))
IWORK (workspace) INTEGER array, dimension (NMAX)
NOUT (input) INTEGER
The unit number for output.
=====================================================================
Parameter adjustments */
--iwork;
--rwork;
--work;
--xact;
--x;
--b;
--ainv;
--afac;
--a;
--nsval;
--nbval;
--nval;
--dotype;
/* Function Body
Initialize constants and the random number seed. */
s_copy(path, "Double precision", (ftnlen)1, (ftnlen)16);
s_copy(path + 1, "PB", (ftnlen)2, (ftnlen)2);
nrun = 0;
nfail = 0;
nerrs = 0;
for (i__ = 1; i__ <= 4; ++i__) {
iseed[i__ - 1] = iseedy[i__ - 1];
/* L10: */
}
/* Test the error exits */
if (*tsterr) {
derrpo_(path, nout);
}
infoc_1.infot = 0;
xlaenv_(&c__2, &c__2);
kdval[0] = 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';
/* Set limits on the number of loop iterations.
Computing MAX */
i__2 = 1, i__3 = min(n,4);
nkd = max(i__2,i__3);
nimat = 8;
if (n == 0) {
nimat = 1;
}
kdval[1] = n + (n + 1) / 4;
kdval[2] = (n * 3 - 1) / 4;
kdval[3] = (n + 1) / 4;
i__2 = nkd;
for (ikd = 1; ikd <= i__2; ++ikd) {
/* Do for KD = 0, (5*N+1)/4, (3N-1)/4, and (N+1)/4. This order
makes it easier to skip redundant values for small values
of N. */
kd = kdval[ikd - 1];
ldab = kd + 1;
/* Do first for UPLO = 'U', then for UPLO = 'L' */
for (iuplo = 1; iuplo <= 2; ++iuplo) {
koff = 1;
if (iuplo == 1) {
*(unsigned char *)uplo = 'U';
/* Computing MAX */
i__3 = 1, i__4 = kd + 2 - n;
koff = max(i__3,i__4);
*(unsigned char *)packit = 'Q';
} else {
*(unsigned char *)uplo = 'L';
*(unsigned char *)packit = 'B';
}
i__3 = nimat;
for (imat = 1; imat <= i__3; ++imat) {
/* Do the tests only if DOTYPE( IMAT ) is true. */
if (! dotype[imat]) {
goto L60;
}
/* Skip types 2, 3, or 4 if the matrix size is too small. */
zerot = imat >= 2 && imat <= 4;
if (zerot && n < imat - 1) {
goto L60;
}
if (! zerot || ! dotype[1]) {
/* Set up parameters with DLATB4 and generate a test
matrix with DLATMS. */
dlatb4_(path, &imat, &n, &n, type__, &kl, &ku, &anorm,
&mode, &cndnum, dist);
s_copy(srnamc_1.srnamt, "DLATMS", (ftnlen)6, (ftnlen)
6);
dlatms_(&n, &n, dist, iseed, type__, &rwork[1], &mode,
&cndnum, &anorm, &kd, &kd, packit, &a[koff],
&ldab, &work[1], &info);
/* Check error code from DLATMS. */
if (info != 0) {
alaerh_(path, "DLATMS", &info, &c__0, uplo, &n, &
n, &kd, &kd, &c_n1, &imat, &nfail, &nerrs,
nout);
goto L60;
}
} else if (izero > 0) {
/* Use the same matrix for types 3 and 4 as for type
2 by copying back the zeroed out column, */
iw = (lda << 1) + 1;
if (iuplo == 1) {
ioff = (izero - 1) * ldab + kd + 1;
i__4 = izero - i1;
dcopy_(&i__4, &work[iw], &c__1, &a[ioff - izero +
i1], &c__1);
iw = iw + izero - i1;
i__4 = i2 - izero + 1;
/* Computing MAX */
i__6 = ldab - 1;
i__5 = max(i__6,1);
dcopy_(&i__4, &work[iw], &c__1, &a[ioff], &i__5);
} else {
ioff = (i1 - 1) * ldab + 1;
i__4 = izero - i1;
/* Computing MAX */
i__6 = ldab - 1;
i__5 = max(i__6,1);
dcopy_(&i__4, &work[iw], &c__1, &a[ioff + izero -
i1], &i__5);
ioff = (izero - 1) * ldab + 1;
iw = iw + izero - i1;
i__4 = i2 - izero + 1;
dcopy_(&i__4, &work[iw], &c__1, &a[ioff], &c__1);
}
}
/* For types 2-4, zero one row and column of the matrix
to test that INFO is returned correctly. */
izero = 0;
if (zerot) {
if (imat == 2) {
izero = 1;
} else if (imat == 3) {
izero = n;
} else {
izero = n / 2 + 1;
}
/* Save the zeroed out row and column in WORK(*,3) */
iw = lda << 1;
/* Computing MIN */
i__5 = (kd << 1) + 1;
i__4 = min(i__5,n);
for (i__ = 1; i__ <= i__4; ++i__) {
work[iw + i__] = 0.;
/* L20: */
}
++iw;
/* Computing MAX */
i__4 = izero - kd;
i1 = max(i__4,1);
/* Computing MIN */
i__4 = izero + kd;
i2 = min(i__4,n);
if (iuplo == 1) {
ioff = (izero - 1) * ldab + kd + 1;
i__4 = izero - i1;
dswap_(&i__4, &a[ioff - izero + i1], &c__1, &work[
iw], &c__1);
iw = iw + izero - i1;
i__4 = i2 - izero + 1;
/* Computing MAX */
i__6 = ldab - 1;
i__5 = max(i__6,1);
dswap_(&i__4, &a[ioff], &i__5, &work[iw], &c__1);
} else {
ioff = (i1 - 1) * ldab + 1;
i__4 = izero - i1;
/* Computing MAX */
i__6 = ldab - 1;
i__5 = max(i__6,1);
dswap_(&i__4, &a[ioff + izero - i1], &i__5, &work[
iw], &c__1);
ioff = (izero - 1) * ldab + 1;
iw = iw + izero - i1;
i__4 = i2 - izero + 1;
dswap_(&i__4, &a[ioff], &c__1, &work[iw], &c__1);
}
}
/* Do for each value of NB in NBVAL */
i__4 = *nnb;
for (inb = 1; inb <= i__4; ++inb) {
nb = nbval[inb];
xlaenv_(&c__1, &nb);
/* Compute the L*L' or U'*U factorization of the band
matrix. */
i__5 = kd + 1;
dlacpy_("Full", &i__5, &n, &a[1], &ldab, &afac[1], &
ldab);
s_copy(srnamc_1.srnamt, "DPBTRF", (ftnlen)6, (ftnlen)
6);
dpbtrf_(uplo, &n, &kd, &afac[1], &ldab, &info);
/* Check error code from DPBTRF. */
if (info != izero) {
alaerh_(path, "DPBTRF", &info, &izero, uplo, &n, &
n, &kd, &kd, &nb, &imat, &nfail, &nerrs,
nout);
goto L50;
}
/* Skip the tests if INFO is not 0. */
if (info != 0) {
goto L50;
}
/* + TEST 1
Reconstruct matrix from factors and compute
residual. */
i__5 = kd + 1;
dlacpy_("Full", &i__5, &n, &afac[1], &ldab, &ainv[1],
&ldab);
dpbt01_(uplo, &n, &kd, &a[1], &ldab, &ainv[1], &ldab,
&rwork[1], result);
/* Print the test ratio if it is .GE. THRESH. */
if (result[0] >= *thresh) {
if (nfail == 0 && nerrs == 0) {
alahd_(nout, path);
}
io___40.ciunit = *nout;
s_wsfe(&io___40);
do_fio(&c__1, uplo, (ftnlen)1);
do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer))
;
do_fio(&c__1, (char *)&kd, (ftnlen)sizeof(integer)
);
do_fio(&c__1, (char *)&nb, (ftnlen)sizeof(integer)
);
do_fio(&c__1, (char *)&imat, (ftnlen)sizeof(
integer));
do_fio(&c__1, (char *)&c__1, (ftnlen)sizeof(
integer));
do_fio(&c__1, (char *)&result[0], (ftnlen)sizeof(
doublereal));
e_wsfe();
++nfail;
}
++nrun;
/* Only do other tests if this is the first blocksize. */
if (inb > 1) {
goto L50;
}
/* Form the inverse of A so we can get a good estimate
of RCONDC = 1/(norm(A) * norm(inv(A))). */
dlaset_("Full", &n, &n, &c_b50, &c_b51, &ainv[1], &
lda);
s_copy(srnamc_1.srnamt, "DPBTRS", (ftnlen)6, (ftnlen)
6);
dpbtrs_(uplo, &n, &kd, &n, &afac[1], &ldab, &ainv[1],
&lda, &info);
/* Compute RCONDC = 1/(norm(A) * norm(inv(A))). */
anorm = dlansb_("1", uplo, &n, &kd, &a[1], &ldab, &
rwork[1]);
ainvnm = dlange_("1", &n, &n, &ainv[1], &lda, &rwork[
1]);
if (anorm <= 0. || ainvnm <= 0.) {
rcondc = 1.;
} else {
rcondc = 1. / anorm / ainvnm;
}
i__5 = *nns;
for (irhs = 1; irhs <= i__5; ++irhs) {
nrhs = nsval[irhs];
/* + TEST 2
Solve and compute residual for A * X = B. */
s_copy(srnamc_1.srnamt, "DLARHS", (ftnlen)6, (
ftnlen)6);
dlarhs_(path, xtype, uplo, " ", &n, &n, &kd, &kd,
&nrhs, &a[1], &ldab, &xact[1], &lda, &b[1]
, &lda, iseed, &info);
dlacpy_("Full", &n, &nrhs, &b[1], &lda, &x[1], &
lda);
s_copy(srnamc_1.srnamt, "DPBTRS", (ftnlen)6, (
ftnlen)6);
dpbtrs_(uplo, &n, &kd, &nrhs, &afac[1], &ldab, &x[
1], &lda, &info);
/* Check error code from DPBTRS. */
if (info != 0) {
alaerh_(path, "DPBTRS", &info, &c__0, uplo, &
n, &n, &kd, &kd, &nrhs, &imat, &nfail,
&nerrs, nout);
}
dlacpy_("Full", &n, &nrhs, &b[1], &lda, &work[1],
&lda);
dpbt02_(uplo, &n, &kd, &nrhs, &a[1], &ldab, &x[1],
&lda, &work[1], &lda, &rwork[1], &result[
1]);
/* + TEST 3
Check solution from generated exact solution. */
dget04_(&n, &nrhs, &x[1], &lda, &xact[1], &lda, &
rcondc, &result[2]);
/* + TESTS 4, 5, and 6
Use iterative refinement to improve the solution. */
s_copy(srnamc_1.srnamt, "DPBRFS", (ftnlen)6, (
ftnlen)6);
dpbrfs_(uplo, &n, &kd, &nrhs, &a[1], &ldab, &afac[
1], &ldab, &b[1], &lda, &x[1], &lda, &
rwork[1], &rwork[nrhs + 1], &work[1], &
iwork[1], &info);
/* Check error code from DPBRFS. */
if (info != 0) {
alaerh_(path, "DPBRFS", &info, &c__0, uplo, &
n, &n, &kd, &kd, &nrhs, &imat, &nfail,
&nerrs, nout);
}
dget04_(&n, &nrhs, &x[1], &lda, &xact[1], &lda, &
rcondc, &result[3]);
dpbt05_(uplo, &n, &kd, &nrhs, &a[1], &ldab, &b[1],
&lda, &x[1], &lda, &xact[1], &lda, &
rwork[1], &rwork[nrhs + 1], &result[4]);
/* Print information about the tests that did not
pass the threshold. */
for (k = 2; k <= 6; ++k) {
if (result[k - 1] >= *thresh) {
if (nfail == 0 && nerrs == 0) {
alahd_(nout, path);
}
io___46.ciunit = *nout;
s_wsfe(&io___46);
do_fio(&c__1, uplo, (ftnlen)1);
do_fio(&c__1, (char *)&n, (ftnlen)sizeof(
integer));
do_fio(&c__1, (char *)&kd, (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;
}
/* L30: */
}
nrun += 5;
/* L40: */
}
/* + TEST 7
Get an estimate of RCOND = 1/CNDNUM. */
s_copy(srnamc_1.srnamt, "DPBCON", (ftnlen)6, (ftnlen)
6);
dpbcon_(uplo, &n, &kd, &afac[1], &ldab, &anorm, &
rcond, &work[1], &iwork[1], &info);
/* Check error code from DPBCON. */
if (info != 0) {
alaerh_(path, "DPBCON", &info, &c__0, uplo, &n, &
n, &kd, &kd, &c_n1, &imat, &nfail, &nerrs,
nout);
}
result[6] = dget06_(&rcond, &rcondc);
/* Print the test ratio if it is .GE. THRESH. */
if (result[6] >= *thresh) {
if (nfail == 0 && nerrs == 0) {
alahd_(nout, path);
}
io___48.ciunit = *nout;
s_wsfe(&io___48);
do_fio(&c__1, uplo, (ftnlen)1);
do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer))
;
do_fio(&c__1, (char *)&kd, (ftnlen)sizeof(integer)
);
do_fio(&c__1, (char *)&imat, (ftnlen)sizeof(
integer));
do_fio(&c__1, (char *)&c__7, (ftnlen)sizeof(
integer));
do_fio(&c__1, (char *)&result[6], (ftnlen)sizeof(
doublereal));
e_wsfe();
++nfail;
}
++nrun;
L50:
;
}
L60:
;
}
/* L70: */
}
/* L80: */
}
/* L90: */
}
/* Print a summary of the results. */
alasum_(path, nout, &nfail, &nrun, &nerrs);
return 0;
/* End of DCHKPB */
} /* dchkpb_ */
/* Subroutine */ int dchktr_(logical *dotype, integer *nn, integer *nval,
integer *nnb, integer *nbval, integer *nns, integer *nsval,
doublereal *thresh, logical *tsterr, integer *nmax, doublereal *a,
doublereal *ainv, doublereal *b, doublereal *x, doublereal *xact,
doublereal *work, doublereal *rwork, integer *iwork, integer *nout)
{
/* Initialized data */
static integer iseedy[4] = { 1988,1989,1990,1991 };
static char uplos[1*2] = "U" "L";
static char transs[1*3] = "N" "T" "C";
/* Format strings */
static char fmt_9999[] = "(\002 UPLO='\002,a1,\002', DIAG='\002,a1,\002'"
", N=\002,i5,\002, NB=\002,i4,\002, type \002,i2,\002, test(\002,"
"i2,\002)= \002,g12.5)";
static char fmt_9998[] = "(\002 UPLO='\002,a1,\002', TRANS='\002,a1,\002"
"', DIAG='\002,a1,\002', N=\002,i5,\002, NB=\002,i4,\002, type"
" \002,i2,\002, test(\002,i2,\002)= \002,g12"
".5)";
static char fmt_9997[] = "(\002 NORM='\002,a1,\002', UPLO ='\002,a1,\002"
"', N=\002,i5,\002,\002,11x,\002 type \002,i2,\002, test(\002,i2"
",\002)=\002,g12.5)";
static char fmt_9996[] = "(1x,a6,\002( '\002,a1,\002', '\002,a1,\002', "
"'\002,a1,\002', '\002,a1,\002',\002,i5,\002, ... ), type \002,i2,"
"\002, test(\002,i2,\002)=\002,g12.5)";
/* System generated locals */
address a__1[2], a__2[3], a__3[4];
integer i__1, i__2, i__3[2], i__4, i__5[3], i__6[4];
char ch__1[2], ch__2[3], ch__3[4];
/* Builtin functions */
/* Subroutine */ int s_copy(char *, char *, ftnlen, ftnlen), s_cat(char *,
char **, integer *, integer *, ftnlen);
integer s_wsfe(cilist *), do_fio(integer *, char *, ftnlen), e_wsfe(void);
/* Local variables */
integer i__, k, n, nb, in, lda, inb;
char diag[1];
integer imat, info;
char path[3];
integer irhs, nrhs;
char norm[1], uplo[1];
integer nrun;
extern /* Subroutine */ int alahd_(integer *, char *);
integer idiag;
doublereal scale;
extern /* Subroutine */ int dget04_(integer *, integer *, doublereal *,
integer *, doublereal *, integer *, doublereal *, doublereal *);
integer nfail, iseed[4];
extern logical lsame_(char *, char *);
doublereal rcond, anorm;
integer itran;
extern /* Subroutine */ int dcopy_(integer *, doublereal *, integer *,
doublereal *, integer *), dtrt01_(char *, char *, integer *,
doublereal *, integer *, doublereal *, integer *, doublereal *,
doublereal *, doublereal *), dtrt02_(char *, char
*, char *, integer *, integer *, doublereal *, integer *,
doublereal *, integer *, doublereal *, integer *, doublereal *,
doublereal *), dtrt03_(char *, char *,
char *, integer *, integer *, doublereal *, integer *, doublereal
*, doublereal *, doublereal *, doublereal *, integer *,
doublereal *, integer *, doublereal *, doublereal *), dtrt05_(char *, char *, char *, integer *,
integer *, doublereal *, integer *, doublereal *, integer *,
doublereal *, integer *, doublereal *, integer *, doublereal *,
doublereal *, doublereal *), dtrt06_(
doublereal *, doublereal *, char *, char *, integer *, doublereal
*, integer *, doublereal *, doublereal *);
char trans[1];
integer iuplo, nerrs;
doublereal dummy;
char xtype[1];
extern /* Subroutine */ int alaerh_(char *, char *, integer *, integer *,
char *, integer *, integer *, integer *, integer *, integer *,
integer *, integer *, integer *, integer *);
doublereal rcondc;
extern /* Subroutine */ int dlacpy_(char *, integer *, integer *,
doublereal *, integer *, doublereal *, integer *),
dlarhs_(char *, char *, char *, char *, integer *, integer *,
integer *, integer *, integer *, doublereal *, integer *,
doublereal *, integer *, doublereal *, integer *, integer *,
integer *);
doublereal rcondi;
extern /* Subroutine */ int alasum_(char *, integer *, integer *, integer
*, integer *);
doublereal rcondo;
extern doublereal dlantr_(char *, char *, char *, integer *, integer *,
doublereal *, integer *, doublereal *);
doublereal ainvnm;
extern /* Subroutine */ int dlatrs_(char *, char *, char *, char *,
integer *, doublereal *, integer *, doublereal *, doublereal *,
doublereal *, integer *), dlattr_(
integer *, char *, char *, char *, integer *, integer *,
doublereal *, integer *, doublereal *, doublereal *, integer *), dtrcon_(char *, char *, char *, integer *
, doublereal *, integer *, doublereal *, doublereal *, integer *,
integer *), xlaenv_(integer *, integer *),
derrtr_(char *, integer *), dtrrfs_(char *, char *, char
*, integer *, integer *, doublereal *, integer *, doublereal *,
integer *, doublereal *, integer *, doublereal *, doublereal *,
doublereal *, integer *, integer *),
dtrtri_(char *, char *, integer *, doublereal *, integer *,
integer *);
doublereal result[9];
extern /* Subroutine */ int dtrtrs_(char *, char *, char *, integer *,
integer *, doublereal *, integer *, doublereal *, integer *,
integer *);
/* Fortran I/O blocks */
static cilist io___27 = { 0, 0, 0, fmt_9999, 0 };
static cilist io___36 = { 0, 0, 0, fmt_9998, 0 };
static cilist io___38 = { 0, 0, 0, fmt_9997, 0 };
static cilist io___40 = { 0, 0, 0, fmt_9996, 0 };
static cilist io___41 = { 0, 0, 0, fmt_9996, 0 };
/* -- LAPACK test routine (version 3.1) -- */
/* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */
/* November 2006 */
/* .. Scalar Arguments .. */
/* .. */
/* .. Array Arguments .. */
/* .. */
/* Purpose */
/* ======= */
/* DCHKTR tests DTRTRI, -TRS, -RFS, and -CON, and DLATRS */
/* 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 column dimension N. */
/* NNB (input) INTEGER */
/* The number of values of NB contained in the vector NBVAL. */
/* NBVAL (input) INTEGER array, dimension (NNB) */
/* The values of the blocksize NB. */
/* NNS (input) INTEGER */
/* The number of values of NRHS contained in the vector NSVAL. */
/* NSVAL (input) INTEGER array, dimension (NNS) */
/* The values of the number of right hand sides NRHS. */
/* THRESH (input) DOUBLE PRECISION */
/* The threshold value for the test ratios. A result is */
/* included in the output file if RESULT >= THRESH. To have */
/* every test ratio printed, use THRESH = 0. */
/* TSTERR (input) LOGICAL */
/* Flag that indicates whether error exits are to be tested. */
/* NMAX (input) INTEGER */
/* The leading dimension of the work arrays. */
/* NMAX >= the maximum value of N in NVAL. */
/* A (workspace) DOUBLE PRECISION array, dimension (NMAX*NMAX) */
/* AINV (workspace) DOUBLE PRECISION array, dimension (NMAX*NMAX) */
/* B (workspace) DOUBLE PRECISION array, dimension (NMAX*NSMAX) */
/* where NSMAX is the largest entry in NSVAL. */
/* X (workspace) DOUBLE PRECISION array, dimension (NMAX*NSMAX) */
/* XACT (workspace) DOUBLE PRECISION array, dimension (NMAX*NSMAX) */
/* WORK (workspace) DOUBLE PRECISION array, dimension */
/* (NMAX*max(3,NSMAX)) */
/* RWORK (workspace) DOUBLE PRECISION array, dimension */
/* (max(NMAX,2*NSMAX)) */
/* IWORK (workspace) INTEGER array, dimension (NMAX) */
/* NOUT (input) INTEGER */
/* The unit number for output. */
/* ===================================================================== */
/* .. Parameters .. */
/* .. */
/* .. Local Scalars .. */
/* .. */
/* .. Local Arrays .. */
/* .. */
/* .. External Functions .. */
/* .. */
/* .. External Subroutines .. */
/* .. */
/* .. Scalars in Common .. */
/* .. */
/* .. Common blocks .. */
/* .. */
/* .. Intrinsic Functions .. */
/* .. */
/* .. Data statements .. */
/* Parameter adjustments */
--iwork;
--rwork;
--work;
--xact;
--x;
--b;
--ainv;
--a;
--nsval;
--nbval;
--nval;
--dotype;
/* Function Body */
/* .. */
/* .. Executable Statements .. */
/* Initialize constants and the random number seed. */
s_copy(path, "Double precision", (ftnlen)1, (ftnlen)16);
s_copy(path + 1, "TR", (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) {
derrtr_(path, nout);
}
infoc_1.infot = 0;
xlaenv_(&c__2, &c__2);
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);
*(unsigned char *)xtype = 'N';
for (imat = 1; imat <= 10; ++imat) {
/* Do the tests only if DOTYPE( IMAT ) is true. */
if (! dotype[imat]) {
goto L80;
}
for (iuplo = 1; iuplo <= 2; ++iuplo) {
/* Do first for UPLO = 'U', then for UPLO = 'L' */
*(unsigned char *)uplo = *(unsigned char *)&uplos[iuplo - 1];
/* Call DLATTR to generate a triangular test matrix. */
s_copy(srnamc_1.srnamt, "DLATTR", (ftnlen)6, (ftnlen)6);
dlattr_(&imat, uplo, "No transpose", diag, iseed, &n, &a[1], &
lda, &x[1], &work[1], &info);
/* Set IDIAG = 1 for non-unit matrices, 2 for unit. */
if (lsame_(diag, "N")) {
idiag = 1;
} else {
idiag = 2;
}
i__2 = *nnb;
for (inb = 1; inb <= i__2; ++inb) {
/* Do for each blocksize in NBVAL */
nb = nbval[inb];
xlaenv_(&c__1, &nb);
/* + TEST 1 */
/* Form the inverse of A. */
dlacpy_(uplo, &n, &n, &a[1], &lda, &ainv[1], &lda);
s_copy(srnamc_1.srnamt, "DTRTRI", (ftnlen)6, (ftnlen)6);
dtrtri_(uplo, diag, &n, &ainv[1], &lda, &info);
/* Check error code from DTRTRI. */
if (info != 0) {
/* Writing concatenation */
i__3[0] = 1, a__1[0] = uplo;
i__3[1] = 1, a__1[1] = diag;
s_cat(ch__1, a__1, i__3, &c__2, (ftnlen)2);
alaerh_(path, "DTRTRI", &info, &c__0, ch__1, &n, &n, &
c_n1, &c_n1, &nb, &imat, &nfail, &nerrs, nout);
}
/* Compute the infinity-norm condition number of A. */
anorm = dlantr_("I", uplo, diag, &n, &n, &a[1], &lda, &
rwork[1]);
ainvnm = dlantr_("I", uplo, diag, &n, &n, &ainv[1], &lda,
&rwork[1]);
if (anorm <= 0. || ainvnm <= 0.) {
rcondi = 1.;
} else {
rcondi = 1. / anorm / ainvnm;
}
/* Compute the residual for the triangular matrix times */
/* its inverse. Also compute the 1-norm condition number */
/* of A. */
dtrt01_(uplo, diag, &n, &a[1], &lda, &ainv[1], &lda, &
rcondo, &rwork[1], result);
/* Print the test ratio if it is .GE. THRESH. */
if (result[0] >= *thresh) {
if (nfail == 0 && nerrs == 0) {
alahd_(nout, path);
}
io___27.ciunit = *nout;
s_wsfe(&io___27);
do_fio(&c__1, uplo, (ftnlen)1);
do_fio(&c__1, diag, (ftnlen)1);
do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&nb, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&imat, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&c__1, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&result[0], (ftnlen)sizeof(
doublereal));
e_wsfe();
++nfail;
}
++nrun;
/* Skip remaining tests if not the first block size. */
if (inb != 1) {
goto L60;
}
i__4 = *nns;
for (irhs = 1; irhs <= i__4; ++irhs) {
nrhs = nsval[irhs];
*(unsigned char *)xtype = 'N';
for (itran = 1; itran <= 3; ++itran) {
/* Do for op(A) = A, A**T, or A**H. */
*(unsigned char *)trans = *(unsigned char *)&
transs[itran - 1];
if (itran == 1) {
*(unsigned char *)norm = 'O';
rcondc = rcondo;
} else {
*(unsigned char *)norm = 'I';
rcondc = rcondi;
}
/* + TEST 2 */
/* Solve and compute residual for op(A)*x = b. */
s_copy(srnamc_1.srnamt, "DLARHS", (ftnlen)6, (
ftnlen)6);
dlarhs_(path, xtype, uplo, trans, &n, &n, &c__0, &
idiag, &nrhs, &a[1], &lda, &xact[1], &lda,
&b[1], &lda, iseed, &info);
*(unsigned char *)xtype = 'C';
dlacpy_("Full", &n, &nrhs, &b[1], &lda, &x[1], &
lda);
s_copy(srnamc_1.srnamt, "DTRTRS", (ftnlen)6, (
ftnlen)6);
dtrtrs_(uplo, trans, diag, &n, &nrhs, &a[1], &lda,
&x[1], &lda, &info);
/* Check error code from DTRTRS. */
if (info != 0) {
/* Writing concatenation */
i__5[0] = 1, a__2[0] = uplo;
i__5[1] = 1, a__2[1] = trans;
i__5[2] = 1, a__2[2] = diag;
s_cat(ch__2, a__2, i__5, &c__3, (ftnlen)3);
alaerh_(path, "DTRTRS", &info, &c__0, ch__2, &
n, &n, &c_n1, &c_n1, &nrhs, &imat, &
nfail, &nerrs, nout);
}
/* This line is needed on a Sun SPARCstation. */
if (n > 0) {
dummy = a[1];
}
dtrt02_(uplo, trans, diag, &n, &nrhs, &a[1], &lda,
&x[1], &lda, &b[1], &lda, &work[1], &
result[1]);
/* + TEST 3 */
/* Check solution from generated exact solution. */
dget04_(&n, &nrhs, &x[1], &lda, &xact[1], &lda, &
rcondc, &result[2]);
/* + TESTS 4, 5, and 6 */
/* Use iterative refinement to improve the solution */
/* and compute error bounds. */
s_copy(srnamc_1.srnamt, "DTRRFS", (ftnlen)6, (
ftnlen)6);
dtrrfs_(uplo, trans, diag, &n, &nrhs, &a[1], &lda,
&b[1], &lda, &x[1], &lda, &rwork[1], &
rwork[nrhs + 1], &work[1], &iwork[1], &
info);
/* Check error code from DTRRFS. */
if (info != 0) {
/* Writing concatenation */
i__5[0] = 1, a__2[0] = uplo;
i__5[1] = 1, a__2[1] = trans;
i__5[2] = 1, a__2[2] = diag;
s_cat(ch__2, a__2, i__5, &c__3, (ftnlen)3);
alaerh_(path, "DTRRFS", &info, &c__0, ch__2, &
n, &n, &c_n1, &c_n1, &nrhs, &imat, &
nfail, &nerrs, nout);
}
dget04_(&n, &nrhs, &x[1], &lda, &xact[1], &lda, &
rcondc, &result[3]);
dtrt05_(uplo, trans, diag, &n, &nrhs, &a[1], &lda,
&b[1], &lda, &x[1], &lda, &xact[1], &lda,
&rwork[1], &rwork[nrhs + 1], &result[4]);
/* Print information about the tests that did not */
/* pass the threshold. */
for (k = 2; k <= 6; ++k) {
if (result[k - 1] >= *thresh) {
if (nfail == 0 && nerrs == 0) {
alahd_(nout, path);
}
io___36.ciunit = *nout;
s_wsfe(&io___36);
do_fio(&c__1, uplo, (ftnlen)1);
do_fio(&c__1, trans, (ftnlen)1);
do_fio(&c__1, diag, (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;
}
/* L20: */
}
nrun += 5;
/* L30: */
}
/* L40: */
}
/* + TEST 7 */
/* Get an estimate of RCOND = 1/CNDNUM. */
for (itran = 1; itran <= 2; ++itran) {
if (itran == 1) {
*(unsigned char *)norm = 'O';
rcondc = rcondo;
} else {
*(unsigned char *)norm = 'I';
rcondc = rcondi;
}
s_copy(srnamc_1.srnamt, "DTRCON", (ftnlen)6, (ftnlen)
6);
dtrcon_(norm, uplo, diag, &n, &a[1], &lda, &rcond, &
work[1], &iwork[1], &info);
/* Check error code from DTRCON. */
if (info != 0) {
/* Writing concatenation */
i__5[0] = 1, a__2[0] = norm;
i__5[1] = 1, a__2[1] = uplo;
i__5[2] = 1, a__2[2] = diag;
s_cat(ch__2, a__2, i__5, &c__3, (ftnlen)3);
alaerh_(path, "DTRCON", &info, &c__0, ch__2, &n, &
n, &c_n1, &c_n1, &c_n1, &imat, &nfail, &
nerrs, nout);
}
dtrt06_(&rcond, &rcondc, uplo, diag, &n, &a[1], &lda,
&rwork[1], &result[6]);
/* Print the test ratio if it is .GE. THRESH. */
if (result[6] >= *thresh) {
if (nfail == 0 && nerrs == 0) {
alahd_(nout, path);
}
io___38.ciunit = *nout;
s_wsfe(&io___38);
do_fio(&c__1, norm, (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 *)&c__7, (ftnlen)sizeof(
integer));
do_fio(&c__1, (char *)&result[6], (ftnlen)sizeof(
doublereal));
e_wsfe();
++nfail;
}
++nrun;
/* L50: */
}
L60:
;
}
/* L70: */
}
L80:
;
}
/* Use pathological test matrices to test DLATRS. */
for (imat = 11; imat <= 18; ++imat) {
/* Do the tests only if DOTYPE( IMAT ) is true. */
if (! dotype[imat]) {
goto L110;
}
for (iuplo = 1; iuplo <= 2; ++iuplo) {
/* Do first for UPLO = 'U', then for UPLO = 'L' */
*(unsigned char *)uplo = *(unsigned char *)&uplos[iuplo - 1];
for (itran = 1; itran <= 3; ++itran) {
/* Do for op(A) = A, A**T, and A**H. */
*(unsigned char *)trans = *(unsigned char *)&transs[itran
- 1];
/* Call DLATTR to generate a triangular test matrix. */
s_copy(srnamc_1.srnamt, "DLATTR", (ftnlen)6, (ftnlen)6);
dlattr_(&imat, uplo, trans, diag, iseed, &n, &a[1], &lda,
&x[1], &work[1], &info);
/* + TEST 8 */
/* Solve the system op(A)*x = b. */
s_copy(srnamc_1.srnamt, "DLATRS", (ftnlen)6, (ftnlen)6);
dcopy_(&n, &x[1], &c__1, &b[1], &c__1);
dlatrs_(uplo, trans, diag, "N", &n, &a[1], &lda, &b[1], &
scale, &rwork[1], &info);
/* Check error code from DLATRS. */
if (info != 0) {
/* Writing concatenation */
i__6[0] = 1, a__3[0] = uplo;
i__6[1] = 1, a__3[1] = trans;
i__6[2] = 1, a__3[2] = diag;
i__6[3] = 1, a__3[3] = "N";
s_cat(ch__3, a__3, i__6, &c__4, (ftnlen)4);
alaerh_(path, "DLATRS", &info, &c__0, ch__3, &n, &n, &
c_n1, &c_n1, &c_n1, &imat, &nfail, &nerrs,
nout);
}
dtrt03_(uplo, trans, diag, &n, &c__1, &a[1], &lda, &scale,
&rwork[1], &c_b101, &b[1], &lda, &x[1], &lda, &
work[1], &result[7]);
/* + TEST 9 */
/* Solve op(A)*X = b again with NORMIN = 'Y'. */
dcopy_(&n, &x[1], &c__1, &b[n + 1], &c__1);
dlatrs_(uplo, trans, diag, "Y", &n, &a[1], &lda, &b[n + 1]
, &scale, &rwork[1], &info);
/* Check error code from DLATRS. */
if (info != 0) {
/* Writing concatenation */
i__6[0] = 1, a__3[0] = uplo;
i__6[1] = 1, a__3[1] = trans;
i__6[2] = 1, a__3[2] = diag;
i__6[3] = 1, a__3[3] = "Y";
s_cat(ch__3, a__3, i__6, &c__4, (ftnlen)4);
alaerh_(path, "DLATRS", &info, &c__0, ch__3, &n, &n, &
c_n1, &c_n1, &c_n1, &imat, &nfail, &nerrs,
nout);
}
dtrt03_(uplo, trans, diag, &n, &c__1, &a[1], &lda, &scale,
&rwork[1], &c_b101, &b[n + 1], &lda, &x[1], &lda,
&work[1], &result[8]);
/* Print information about the tests that did not pass */
/* the threshold. */
if (result[7] >= *thresh) {
if (nfail == 0 && nerrs == 0) {
alahd_(nout, path);
}
io___40.ciunit = *nout;
s_wsfe(&io___40);
do_fio(&c__1, "DLATRS", (ftnlen)6);
do_fio(&c__1, uplo, (ftnlen)1);
do_fio(&c__1, trans, (ftnlen)1);
do_fio(&c__1, diag, (ftnlen)1);
do_fio(&c__1, "N", (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;
}
if (result[8] >= *thresh) {
if (nfail == 0 && nerrs == 0) {
alahd_(nout, path);
}
io___41.ciunit = *nout;
s_wsfe(&io___41);
do_fio(&c__1, "DLATRS", (ftnlen)6);
do_fio(&c__1, uplo, (ftnlen)1);
do_fio(&c__1, trans, (ftnlen)1);
do_fio(&c__1, diag, (ftnlen)1);
do_fio(&c__1, "Y", (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__9, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&result[8], (ftnlen)sizeof(
doublereal));
e_wsfe();
++nfail;
}
nrun += 2;
/* L90: */
}
/* L100: */
}
L110:
;
}
/* L120: */
}
/* Print a summary of the results. */
alasum_(path, nout, &nfail, &nrun, &nerrs);
return 0;
/* End of DCHKTR */
} /* dchktr_ */
/* Subroutine */ int cchkpt_(logical *dotype, integer *nn, integer *nval,
integer *nns, integer *nsval, real *thresh, logical *tsterr, complex *
a, real *d__, complex *e, complex *b, complex *x, complex *xact,
complex *work, real *rwork, integer *nout)
{
/* Initialized data */
static integer iseedy[4] = { 0,0,0,1 };
static char uplos[1*2] = "U" "L";
/* Format strings */
static char fmt_9999[] = "(\002 N =\002,i5,\002, type \002,i2,\002, te"
"st \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, ratio "
"= \002,g12.5)";
/* System generated locals */
integer i__1, i__2, i__3, i__4, i__5;
real r__1, r__2;
/* Local variables */
integer i__, j, k, n;
complex z__[3];
integer ia, in, kl, ku, ix, lda;
real cond;
integer mode;
real dmax__;
integer imat, info;
char path[3], dist[1];
integer irhs, nrhs;
char uplo[1], type__[1];
integer nrun;
integer nfail, iseed[4];
real rcond;
integer nimat;
real anorm;
integer iuplo, izero, nerrs;
logical zerot;
real rcondc;
real ainvnm;
real result[7];
/* Fortran I/O blocks */
static cilist io___30 = { 0, 0, 0, fmt_9999, 0 };
static cilist io___38 = { 0, 0, 0, fmt_9998, 0 };
static cilist io___40 = { 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 */
/* ======= */
/* CCHKPT tests CPTTRF, -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) 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. */
/* A (workspace) COMPLEX array, dimension (NMAX*2) */
/* D (workspace) REAL array, dimension (NMAX*2) */
/* E (workspace) COMPLEX array, dimension (NMAX*2) */
/* B (workspace) COMPLEX array, dimension (NMAX*NSMAX) */
/* where NSMAX is the largest entry in NSVAL. */
/* X (workspace) COMPLEX array, dimension (NMAX*NSMAX) */
/* XACT (workspace) COMPLEX array, dimension (NMAX*NSMAX) */
/* WORK (workspace) COMPLEX array, dimension */
/* (NMAX*max(3,NSMAX)) */
/* RWORK (workspace) REAL array, dimension */
/* (max(NMAX,2*NSMAX)) */
/* NOUT (input) INTEGER */
/* The unit number for output. */
/* ===================================================================== */
/* .. Parameters .. */
/* .. */
/* .. Local Scalars .. */
/* .. */
/* .. Local Arrays .. */
/* .. */
/* .. External Functions .. */
/* .. */
/* .. External Subroutines .. */
/* .. */
/* .. Intrinsic Functions .. */
/* .. */
/* .. Scalars in Common .. */
/* .. */
/* .. Common blocks .. */
/* .. */
/* .. Data statements .. */
/* Parameter adjustments */
--rwork;
--work;
--xact;
--x;
--b;
--e;
--d__;
--a;
--nsval;
--nval;
--dotype;
/* Function Body */
/* .. */
/* .. Executable Statements .. */
s_copy(path, "Complex precision", (ftnlen)1, (ftnlen)17);
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) {
cerrgt_(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 CLATB4. */
clatb4_(path, &imat, &n, &n, type__, &kl, &ku, &anorm, &mode, &
cond, dist);
zerot = imat >= 8 && imat <= 10;
if (imat <= 6) {
/* Type 1-6: generate a Hermitian tridiagonal matrix of */
/* known condition number in lower triangular band storage. */
s_copy(srnamc_1.srnamt, "CLATMS", (ftnlen)32, (ftnlen)6);
clatms_(&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 CLATMS. */
if (info != 0) {
alaerh_(path, "CLATMS", &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__) {
i__4 = ia;
d__[i__] = a[i__4].r;
i__4 = i__;
i__5 = ia + 1;
e[i__4].r = a[i__5].r, e[i__4].i = a[i__5].i;
ia += 2;
/* L20: */
}
if (n > 0) {
i__3 = ia;
d__[n] = a[i__3].r;
}
} else {
/* Type 7-12: generate a diagonally dominant matrix with */
/* unknown condition number in the vectors D and E. */
if (! zerot || ! dotype[7]) {
/* Let E be complex, D real, with values from [-1,1]. */
slarnv_(&c__2, iseed, &n, &d__[1]);
i__3 = n - 1;
clarnv_(&c__2, iseed, &i__3, &e[1]);
/* Make the tridiagonal matrix diagonally dominant. */
if (n == 1) {
d__[1] = dabs(d__[1]);
} else {
d__[1] = dabs(d__[1]) + c_abs(&e[1]);
d__[n] = (r__1 = d__[n], dabs(r__1)) + c_abs(&e[n - 1]
);
i__3 = n - 1;
for (i__ = 2; i__ <= i__3; ++i__) {
d__[i__] = (r__1 = d__[i__], dabs(r__1)) + c_abs(&
e[i__]) + c_abs(&e[i__ - 1]);
/* L30: */
}
}
/* Scale D and E so the maximum element is ANORM. */
ix = isamax_(&n, &d__[1], &c__1);
dmax__ = d__[ix];
r__1 = anorm / dmax__;
sscal_(&n, &r__1, &d__[1], &c__1);
i__3 = n - 1;
r__1 = anorm / dmax__;
csscal_(&i__3, &r__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].r;
if (n > 1) {
e[1].r = z__[2].r, e[1].i = z__[2].i;
}
} else if (izero == n) {
i__3 = n - 1;
e[i__3].r = z__[0].r, e[i__3].i = z__[0].i;
i__3 = n;
d__[i__3] = z__[1].r;
} else {
i__3 = izero - 1;
e[i__3].r = z__[0].r, e[i__3].i = z__[0].i;
i__3 = izero;
d__[i__3] = z__[1].r;
i__3 = izero;
e[i__3].r = z__[2].r, e[i__3].i = z__[2].i;
}
}
/* For types 8-10, set one row and column of the matrix to */
/* zero. */
izero = 0;
if (imat == 8) {
izero = 1;
z__[1].r = d__[1], z__[1].i = 0.f;
d__[1] = 0.f;
if (n > 1) {
z__[2].r = e[1].r, z__[2].i = e[1].i;
e[1].r = 0.f, e[1].i = 0.f;
}
} else if (imat == 9) {
izero = n;
if (n > 1) {
i__3 = n - 1;
z__[0].r = e[i__3].r, z__[0].i = e[i__3].i;
i__3 = n - 1;
e[i__3].r = 0.f, e[i__3].i = 0.f;
}
i__3 = n;
z__[1].r = d__[i__3], z__[1].i = 0.f;
d__[n] = 0.f;
} else if (imat == 10) {
izero = (n + 1) / 2;
if (izero > 1) {
i__3 = izero - 1;
z__[0].r = e[i__3].r, z__[0].i = e[i__3].i;
i__3 = izero;
z__[2].r = e[i__3].r, z__[2].i = e[i__3].i;
i__3 = izero - 1;
e[i__3].r = 0.f, e[i__3].i = 0.f;
i__3 = izero;
e[i__3].r = 0.f, e[i__3].i = 0.f;
}
i__3 = izero;
z__[1].r = d__[i__3], z__[1].i = 0.f;
d__[izero] = 0.f;
}
}
scopy_(&n, &d__[1], &c__1, &d__[n + 1], &c__1);
if (n > 1) {
i__3 = n - 1;
ccopy_(&i__3, &e[1], &c__1, &e[n + 1], &c__1);
}
/* + TEST 1 */
/* Factor A as L*D*L' and compute the ratio */
/* norm(L*D*L' - A) / (n * norm(A) * EPS ) */
cpttrf_(&n, &d__[n + 1], &e[n + 1], &info);
/* Check error code from CPTTRF. */
if (info != izero) {
alaerh_(path, "CPTTRF", &info, &izero, " ", &n, &n, &c_n1, &
c_n1, &c_n1, &imat, &nfail, &nerrs, nout);
goto L110;
}
if (info > 0) {
rcondc = 0.f;
goto L100;
}
cptt01_(&n, &d__[1], &e[1], &d__[n + 1], &e[n + 1], &work[1],
result);
/* Print the test ratio if greater than or equal to THRESH. */
if (result[0] >= *thresh) {
if (nfail == 0 && nerrs == 0) {
alahd_(nout, path);
}
io___30.ciunit = *nout;
s_wsfe(&io___30);
do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&imat, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&c__1, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&result[0], (ftnlen)sizeof(real));
e_wsfe();
++nfail;
}
++nrun;
/* Compute RCONDC = 1 / (norm(A) * norm(inv(A)) */
/* Compute norm(A). */
anorm = clanht_("1", &n, &d__[1], &e[1]);
/* Use CPTTRS to solve for one column at a time of inv(A), */
/* computing the maximum column sum as we go. */
ainvnm = 0.f;
i__3 = n;
for (i__ = 1; i__ <= i__3; ++i__) {
i__4 = n;
for (j = 1; j <= i__4; ++j) {
i__5 = j;
x[i__5].r = 0.f, x[i__5].i = 0.f;
/* L40: */
}
i__4 = i__;
x[i__4].r = 1.f, x[i__4].i = 0.f;
cpttrs_("Lower", &n, &c__1, &d__[n + 1], &e[n + 1], &x[1], &
lda, &info);
/* Computing MAX */
r__1 = ainvnm, r__2 = scasum_(&n, &x[1], &c__1);
ainvnm = dmax(r__1,r__2);
/* L50: */
}
/* Computing MAX */
r__1 = 1.f, r__2 = anorm * ainvnm;
rcondc = 1.f / dmax(r__1,r__2);
i__3 = *nns;
for (irhs = 1; irhs <= i__3; ++irhs) {
nrhs = nsval[irhs];
/* Generate NRHS random solution vectors. */
ix = 1;
i__4 = nrhs;
for (j = 1; j <= i__4; ++j) {
clarnv_(&c__2, iseed, &n, &xact[ix]);
ix += lda;
/* L60: */
}
for (iuplo = 1; iuplo <= 2; ++iuplo) {
/* Do first for UPLO = 'U', then for UPLO = 'L'. */
*(unsigned char *)uplo = *(unsigned char *)&uplos[iuplo -
1];
/* Set the right hand side. */
claptm_(uplo, &n, &nrhs, &c_b48, &d__[1], &e[1], &xact[1],
&lda, &c_b49, &b[1], &lda);
/* + TEST 2 */
/* Solve A*x = b and compute the residual. */
clacpy_("Full", &n, &nrhs, &b[1], &lda, &x[1], &lda);
cpttrs_(uplo, &n, &nrhs, &d__[n + 1], &e[n + 1], &x[1], &
lda, &info);
/* Check error code from CPTTRS. */
if (info != 0) {
alaerh_(path, "CPTTRS", &info, &c__0, uplo, &n, &n, &
c_n1, &c_n1, &nrhs, &imat, &nfail, &nerrs,
nout);
}
clacpy_("Full", &n, &nrhs, &b[1], &lda, &work[1], &lda);
cptt02_(uplo, &n, &nrhs, &d__[1], &e[1], &x[1], &lda, &
work[1], &lda, &result[1]);
/* + TEST 3 */
/* Check solution from generated exact solution. */
cget04_(&n, &nrhs, &x[1], &lda, &xact[1], &lda, &rcondc, &
result[2]);
/* + TESTS 4, 5, and 6 */
/* Use iterative refinement to improve the solution. */
s_copy(srnamc_1.srnamt, "CPTRFS", (ftnlen)32, (ftnlen)6);
cptrfs_(uplo, &n, &nrhs, &d__[1], &e[1], &d__[n + 1], &e[
n + 1], &b[1], &lda, &x[1], &lda, &rwork[1], &
rwork[nrhs + 1], &work[1], &rwork[(nrhs << 1) + 1]
, &info);
/* Check error code from CPTRFS. */
if (info != 0) {
alaerh_(path, "CPTRFS", &info, &c__0, uplo, &n, &n, &
c_n1, &c_n1, &nrhs, &imat, &nfail, &nerrs,
nout);
}
cget04_(&n, &nrhs, &x[1], &lda, &xact[1], &lda, &rcondc, &
result[3]);
cptt05_(&n, &nrhs, &d__[1], &e[1], &b[1], &lda, &x[1], &
lda, &xact[1], &lda, &rwork[1], &rwork[nrhs + 1],
&result[4]);
/* Print information about the tests that did not pass the */
/* threshold. */
for (k = 2; k <= 6; ++k) {
if (result[k - 1] >= *thresh) {
if (nfail == 0 && nerrs == 0) {
alahd_(nout, path);
}
io___38.ciunit = *nout;
s_wsfe(&io___38);
do_fio(&c__1, uplo, (ftnlen)1);
do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer))
;
do_fio(&c__1, (char *)&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(real));
e_wsfe();
++nfail;
}
/* L70: */
}
nrun += 5;
/* L80: */
}
/* L90: */
}
/* + TEST 7 */
/* Estimate the reciprocal of the condition number of the */
/* matrix. */
L100:
s_copy(srnamc_1.srnamt, "CPTCON", (ftnlen)32, (ftnlen)6);
cptcon_(&n, &d__[n + 1], &e[n + 1], &anorm, &rcond, &rwork[1], &
info);
/* Check error code from CPTCON. */
if (info != 0) {
alaerh_(path, "CPTCON", &info, &c__0, " ", &n, &n, &c_n1, &
c_n1, &c_n1, &imat, &nfail, &nerrs, nout);
}
result[6] = sget06_(&rcond, &rcondc);
/* Print the test ratio if greater than or equal to THRESH. */
if (result[6] >= *thresh) {
if (nfail == 0 && nerrs == 0) {
alahd_(nout, path);
}
io___40.ciunit = *nout;
s_wsfe(&io___40);
do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&imat, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&c__7, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&result[6], (ftnlen)sizeof(real));
e_wsfe();
++nfail;
}
++nrun;
L110:
;
}
/* L120: */
}
/* Print a summary of the results. */
alasum_(path, nout, &nfail, &nrun, &nerrs);
return 0;
/* End of CCHKPT */
} /* cchkpt_ */
/* Subroutine */ int dchklq_(logical *dotype, integer *nm, integer *mval,
integer *nn, integer *nval, integer *nnb, integer *nbval, integer *
nxval, integer *nrhs, doublereal *thresh, logical *tsterr, integer *
nmax, doublereal *a, doublereal *af, doublereal *aq, doublereal *al,
doublereal *ac, doublereal *b, doublereal *x, doublereal *xact,
doublereal *tau, doublereal *work, doublereal *rwork, integer *iwork,
integer *nout)
{
/* Initialized data */
static integer iseedy[4] = { 1988,1989,1990,1991 };
/* Format strings */
static char fmt_9999[] = "(\002 M=\002,i5,\002, N=\002,i5,\002, K=\002,i"
"5,\002, NB=\002,i4,\002, NX=\002,i5,\002, type \002,i2,\002, tes"
"t(\002,i2,\002)=\002,g12.5)";
/* System generated locals */
integer i__1, i__2, i__3, i__4, i__5;
/* 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 integer mode, imat, info;
static char path[3];
static integer kval[4];
static char dist[1], type__[1];
static integer nrun, i__;
extern /* Subroutine */ int alahd_(integer *, char *);
static integer k, m, n;
extern /* Subroutine */ int dget02_(char *, integer *, integer *, integer
*, doublereal *, integer *, doublereal *, integer *, doublereal *,
integer *, doublereal *, doublereal *);
static integer nfail, iseed[4];
extern /* Subroutine */ int dlqt01_(integer *, integer *, doublereal *,
doublereal *, doublereal *, doublereal *, integer *, doublereal *,
doublereal *, integer *, doublereal *, doublereal *), dlqt02_(
integer *, integer *, integer *, doublereal *, doublereal *,
doublereal *, doublereal *, integer *, doublereal *, doublereal *,
integer *, doublereal *, doublereal *), dlqt03_(integer *,
integer *, integer *, doublereal *, doublereal *, doublereal *,
doublereal *, integer *, doublereal *, doublereal *, integer *,
doublereal *, doublereal *);
static doublereal anorm;
static integer minmn, nerrs, lwork;
extern /* Subroutine */ int dlatb4_(char *, integer *, integer *, integer
*, char *, integer *, integer *, doublereal *, integer *,
doublereal *, char *);
static integer nb, ik, im, in, kl, nk;
extern /* Subroutine */ int alaerh_(char *, char *, integer *, integer *,
char *, integer *, integer *, integer *, integer *, integer *,
integer *, integer *, integer *, integer *);
static integer ku, nt, nx;
extern /* Subroutine */ int dlacpy_(char *, integer *, integer *,
doublereal *, integer *, doublereal *, integer *),
dlarhs_(char *, char *, char *, char *, integer *, integer *,
integer *, integer *, integer *, doublereal *, integer *,
doublereal *, integer *, doublereal *, integer *, integer *,
integer *), dgelqs_(integer *,
integer *, integer *, doublereal *, integer *, doublereal *,
doublereal *, integer *, doublereal *, integer *, integer *),
alasum_(char *, integer *, integer *, integer *, integer *);
static doublereal cndnum;
extern /* Subroutine */ int dlatms_(integer *, integer *, char *, integer
*, char *, doublereal *, integer *, doublereal *, doublereal *,
integer *, integer *, char *, doublereal *, integer *, doublereal
*, integer *), derrlq_(char *, integer *), xlaenv_(integer *, integer *);
static doublereal result[7];
static integer lda, inb;
/* Fortran I/O blocks */
static cilist io___33 = { 0, 0, 0, fmt_9999, 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
=======
DCHKLQ tests DGELQF, DORGLQ and DORMLQ.
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.
NM (input) INTEGER
The number of values of M contained in the vector MVAL.
MVAL (input) INTEGER array, dimension (NM)
The values of the matrix row dimension M.
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 column dimension N.
NNB (input) INTEGER
The number of values of NB and NX contained in the
vectors NBVAL and NXVAL. The blocking parameters are used
in pairs (NB,NX).
NBVAL (input) INTEGER array, dimension (NNB)
The values of the blocksize NB.
NXVAL (input) INTEGER array, dimension (NNB)
The values of the crossover point NX.
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 M or N, used in dimensioning
the work arrays.
A (workspace) DOUBLE PRECISION array, dimension (NMAX*NMAX)
AF (workspace) DOUBLE PRECISION array, dimension (NMAX*NMAX)
AQ (workspace) DOUBLE PRECISION array, dimension (NMAX*NMAX)
AL (workspace) DOUBLE PRECISION array, dimension (NMAX*NMAX)
AC (workspace) DOUBLE PRECISION array, dimension (NMAX*NMAX)
B (workspace) DOUBLE PRECISION array, dimension (NMAX*NRHS)
X (workspace) DOUBLE PRECISION array, dimension (NMAX*NRHS)
XACT (workspace) DOUBLE PRECISION array, dimension (NMAX*NRHS)
TAU (workspace) DOUBLE PRECISION array, dimension (NMAX)
WORK (workspace) DOUBLE PRECISION array, dimension (NMAX*NMAX)
RWORK (workspace) DOUBLE PRECISION array, dimension (NMAX)
IWORK (workspace) INTEGER array, dimension (NMAX)
NOUT (input) INTEGER
The unit number for output.
=====================================================================
Parameter adjustments */
--iwork;
--rwork;
--work;
--tau;
--xact;
--x;
--b;
--ac;
--al;
--aq;
--af;
--a;
--nxval;
--nbval;
--nval;
--mval;
--dotype;
/* Function Body
Initialize constants and the random number seed. */
s_copy(path, "Double precision", (ftnlen)1, (ftnlen)16);
s_copy(path + 1, "LQ", (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) {
derrlq_(path, nout);
}
infoc_1.infot = 0;
xlaenv_(&c__2, &c__2);
lda = *nmax;
lwork = *nmax * max(*nmax,*nrhs);
/* Do for each value of M in MVAL. */
i__1 = *nm;
for (im = 1; im <= i__1; ++im) {
m = mval[im];
/* Do for each value of N in NVAL. */
i__2 = *nn;
for (in = 1; in <= i__2; ++in) {
n = nval[in];
minmn = min(m,n);
for (imat = 1; imat <= 8; ++imat) {
/* Do the tests only if DOTYPE( IMAT ) is true. */
if (! dotype[imat]) {
goto L50;
}
/* Set up parameters with DLATB4 and generate a test matrix
with DLATMS. */
dlatb4_(path, &imat, &m, &n, type__, &kl, &ku, &anorm, &mode,
&cndnum, dist);
s_copy(srnamc_1.srnamt, "DLATMS", (ftnlen)6, (ftnlen)6);
dlatms_(&m, &n, dist, iseed, type__, &rwork[1], &mode, &
cndnum, &anorm, &kl, &ku, "No packing", &a[1], &lda, &
work[1], &info);
/* Check error code from DLATMS. */
if (info != 0) {
alaerh_(path, "DLATMS", &info, &c__0, " ", &m, &n, &c_n1,
&c_n1, &c_n1, &imat, &nfail, &nerrs, nout);
goto L50;
}
/* Set some values for K: the first value must be MINMN,
corresponding to the call of DLQT01; other values are
used in the calls of DLQT02, and must not exceed MINMN. */
kval[0] = minmn;
kval[1] = 0;
kval[2] = 1;
kval[3] = minmn / 2;
if (minmn == 0) {
nk = 1;
} else if (minmn == 1) {
nk = 2;
} else if (minmn <= 3) {
nk = 3;
} else {
nk = 4;
}
/* Do for each value of K in KVAL */
i__3 = nk;
for (ik = 1; ik <= i__3; ++ik) {
k = kval[ik - 1];
/* Do for each pair of values (NB,NX) in NBVAL and NXVAL. */
i__4 = *nnb;
for (inb = 1; inb <= i__4; ++inb) {
nb = nbval[inb];
xlaenv_(&c__1, &nb);
nx = nxval[inb];
xlaenv_(&c__3, &nx);
nt = 2;
if (ik == 1) {
/* Test DGELQF */
dlqt01_(&m, &n, &a[1], &af[1], &aq[1], &al[1], &
lda, &tau[1], &work[1], &lwork, &rwork[1],
result);
} else if (m <= n) {
/* Test DORGLQ, using factorization
returned by DLQT01 */
dlqt02_(&m, &n, &k, &a[1], &af[1], &aq[1], &al[1],
&lda, &tau[1], &work[1], &lwork, &rwork[
1], result);
} else {
result[0] = 0.;
result[1] = 0.;
}
if (m >= k) {
/* Test DORMLQ, using factorization returned
by DLQT01 */
dlqt03_(&m, &n, &k, &af[1], &ac[1], &al[1], &aq[1]
, &lda, &tau[1], &work[1], &lwork, &rwork[
1], &result[2]);
nt += 4;
/* If M>=N and K=N, call DGELQS to solve a system
with NRHS right hand sides and compute the
residual. */
if (k == m && inb == 1) {
/* Generate a solution and set the right
hand side. */
s_copy(srnamc_1.srnamt, "DLARHS", (ftnlen)6, (
ftnlen)6);
dlarhs_(path, "New", "Full", "No transpose", &
m, &n, &c__0, &c__0, nrhs, &a[1], &
lda, &xact[1], &lda, &b[1], &lda,
iseed, &info);
dlacpy_("Full", &m, nrhs, &b[1], &lda, &x[1],
&lda);
s_copy(srnamc_1.srnamt, "DGELQS", (ftnlen)6, (
ftnlen)6);
dgelqs_(&m, &n, nrhs, &af[1], &lda, &tau[1], &
x[1], &lda, &work[1], &lwork, &info);
/* Check error code from DGELQS. */
if (info != 0) {
alaerh_(path, "DGELQS", &info, &c__0,
" ", &m, &n, nrhs, &c_n1, &nb, &
imat, &nfail, &nerrs, nout);
}
dget02_("No transpose", &m, &n, nrhs, &a[1], &
lda, &x[1], &lda, &b[1], &lda, &rwork[
1], &result[6]);
++nt;
} else {
result[6] = 0.;
}
} else {
result[2] = 0.;
result[3] = 0.;
result[4] = 0.;
result[5] = 0.;
}
/* Print information about the tests that did not
pass the threshold. */
i__5 = nt;
for (i__ = 1; i__ <= i__5; ++i__) {
if (result[i__ - 1] >= *thresh) {
if (nfail == 0 && nerrs == 0) {
alahd_(nout, path);
}
io___33.ciunit = *nout;
s_wsfe(&io___33);
do_fio(&c__1, (char *)&m, (ftnlen)sizeof(
integer));
do_fio(&c__1, (char *)&n, (ftnlen)sizeof(
integer));
do_fio(&c__1, (char *)&k, (ftnlen)sizeof(
integer));
do_fio(&c__1, (char *)&nb, (ftnlen)sizeof(
integer));
do_fio(&c__1, (char *)&nx, (ftnlen)sizeof(
integer));
do_fio(&c__1, (char *)&imat, (ftnlen)sizeof(
integer));
do_fio(&c__1, (char *)&i__, (ftnlen)sizeof(
integer));
do_fio(&c__1, (char *)&result[i__ - 1], (
ftnlen)sizeof(doublereal));
e_wsfe();
++nfail;
}
/* L20: */
}
nrun += nt;
/* L30: */
}
/* L40: */
}
L50:
;
}
/* L60: */
}
/* L70: */
}
/* Print a summary of the results. */
alasum_(path, nout, &nfail, &nrun, &nerrs);
return 0;
/* End of DCHKLQ */
} /* dchklq_ */
/* Subroutine */ int cdrvpo_(logical *dotype, integer *nn, integer *nval,
integer *nrhs, real *thresh, logical *tsterr, integer *nmax, complex *
a, complex *afac, complex *asav, complex *b, complex *bsav, complex *
x, complex *xact, real *s, complex *work, real *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 equeds[1*2] = "N" "Y";
/* Format strings */
static char fmt_9999[] = "(1x,a,\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,a,\002, FACT='\002,a1,\002', UPLO='\002,"
"a1,\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,a,\002, FACT='\002,a1,\002', UPLO='\002,"
"a1,\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];
/* Local variables */
integer i__, k, n;
real *errbnds_c__, *errbnds_n__;
integer k1, nb, in, kl, ku, nt, n_err_bnds__, lda;
char fact[1];
integer ioff, mode;
real amax;
char path[3];
integer imat, info;
real *berr;
char dist[1];
real rpvgrw_svxx__;
char uplo[1], type__[1];
integer nrun, ifact;
integer nfail, iseed[4], nfact;
char equed[1];
integer nbmin;
real rcond, roldc, scond;
integer nimat;
real anorm;
logical equil;
integer iuplo, izero, nerrs;
logical zerot;
char xtype[1];
logical prefac;
real rcondc;
logical nofact;
integer iequed;
real cndnum;
real ainvnm;
real result[6];
/* Fortran I/O blocks */
static cilist io___48 = { 0, 0, 0, fmt_9999, 0 };
static cilist io___51 = { 0, 0, 0, fmt_9997, 0 };
static cilist io___52 = { 0, 0, 0, fmt_9998, 0 };
static cilist io___58 = { 0, 0, 0, fmt_9997, 0 };
static cilist io___59 = { 0, 0, 0, fmt_9998, 0 };
/* -- LAPACK test routine (version 3.1) -- */
/* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */
/* November 2006 */
/* .. Scalar Arguments .. */
/* .. */
/* .. Array Arguments .. */
/* .. */
/* Purpose */
/* ======= */
/* CDRVPO tests the driver routines CPOSV, -SVX, and -SVXX. */
/* 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) COMPLEX array, dimension (NMAX*NMAX) */
/* AFAC (workspace) COMPLEX array, dimension (NMAX*NMAX) */
/* ASAV (workspace) COMPLEX array, dimension (NMAX*NMAX) */
/* B (workspace) COMPLEX array, dimension (NMAX*NRHS) */
/* BSAV (workspace) COMPLEX array, dimension (NMAX*NRHS) */
/* X (workspace) COMPLEX array, dimension (NMAX*NRHS) */
/* XACT (workspace) COMPLEX array, dimension (NMAX*NRHS) */
/* S (workspace) REAL array, dimension (NMAX) */
/* WORK (workspace) COMPLEX array, dimension */
/* (NMAX*max(3,NRHS)) */
/* RWORK (workspace) REAL array, dimension (NMAX+2*NRHS) */
/* 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;
--s;
--xact;
--x;
--bsav;
--b;
--asav;
--afac;
--a;
--nval;
--dotype;
/* Function Body */
/* .. */
/* .. Executable Statements .. */
/* Initialize constants and the random number seed. */
s_copy(path, "Complex precision", (ftnlen)1, (ftnlen)17);
s_copy(path + 1, "PO", (ftnlen)2, (ftnlen)2);
nrun = 0;
nfail = 0;
nerrs = 0;
for (i__ = 1; i__ <= 4; ++i__) {
iseed[i__ - 1] = iseedy[i__ - 1];
/* L10: */
}
/* Test the error exits */
if (*tsterr) {
cerrvx_(path, nout);
}
infoc_1.infot = 0;
/* Set the block size and minimum block size for testing. */
nb = 1;
nbmin = 2;
xlaenv_(&c__1, &nb);
xlaenv_(&c__2, &nbmin);
/* 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 L120;
}
/* Skip types 3, 4, or 5 if the matrix size is too small. */
zerot = imat >= 3 && imat <= 5;
if (zerot && n < imat - 2) {
goto L120;
}
/* Do first for UPLO = 'U', then for UPLO = 'L' */
for (iuplo = 1; iuplo <= 2; ++iuplo) {
*(unsigned char *)uplo = *(unsigned char *)&uplos[iuplo - 1];
/* Set up parameters with CLATB4 and generate a test matrix */
/* with CLATMS. */
clatb4_(path, &imat, &n, &n, type__, &kl, &ku, &anorm, &mode,
&cndnum, dist);
s_copy(srnamc_1.srnamt, "CLATMS", (ftnlen)32, (ftnlen)6);
clatms_(&n, &n, dist, iseed, type__, &rwork[1], &mode, &
cndnum, &anorm, &kl, &ku, uplo, &a[1], &lda, &work[1],
&info);
/* Check error code from CLATMS. */
if (info != 0) {
alaerh_(path, "CLATMS", &info, &c__0, uplo, &n, &n, &c_n1,
&c_n1, &c_n1, &imat, &nfail, &nerrs, nout);
goto L110;
}
/* For types 3-5, zero one row and column of the matrix to */
/* test that INFO is returned correctly. */
if (zerot) {
if (imat == 3) {
izero = 1;
} else if (imat == 4) {
izero = n;
} else {
izero = n / 2 + 1;
}
ioff = (izero - 1) * lda;
/* Set row and column IZERO of A to 0. */
if (iuplo == 1) {
i__3 = izero - 1;
for (i__ = 1; i__ <= i__3; ++i__) {
i__4 = ioff + i__;
a[i__4].r = 0.f, a[i__4].i = 0.f;
/* L20: */
}
ioff += izero;
i__3 = n;
for (i__ = izero; i__ <= i__3; ++i__) {
i__4 = ioff;
a[i__4].r = 0.f, a[i__4].i = 0.f;
ioff += lda;
/* L30: */
}
} else {
ioff = izero;
i__3 = izero - 1;
for (i__ = 1; i__ <= i__3; ++i__) {
i__4 = ioff;
a[i__4].r = 0.f, a[i__4].i = 0.f;
ioff += lda;
/* L40: */
}
ioff -= izero;
i__3 = n;
for (i__ = izero; i__ <= i__3; ++i__) {
i__4 = ioff + i__;
a[i__4].r = 0.f, a[i__4].i = 0.f;
/* L50: */
}
}
} else {
izero = 0;
}
/* Set the imaginary part of the diagonals. */
i__3 = lda + 1;
claipd_(&n, &a[1], &i__3, &c__0);
/* Save a copy of the matrix A in ASAV. */
clacpy_(uplo, &n, &n, &a[1], &lda, &asav[1], &lda);
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) {
for (i__ = 1; i__ <= 6; ++i__) {
result[i__ - 1] = 0.f;
}
*(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 L90;
}
rcondc = 0.f;
} else if (! lsame_(fact, "N"))
{
/* Compute the condition number for comparison with */
/* the value returned by CPOSVX (FACT = 'N' reuses */
/* the condition number from the previous iteration */
/* with FACT = 'F'). */
clacpy_(uplo, &n, &n, &asav[1], &lda, &afac[1], &
lda);
if (equil || iequed > 1) {
/* Compute row and column scale factors to */
/* equilibrate the matrix A. */
cpoequ_(&n, &afac[1], &lda, &s[1], &scond, &
amax, &info);
if (info == 0 && n > 0) {
if (iequed > 1) {
scond = 0.f;
}
/* Equilibrate the matrix. */
claqhe_(uplo, &n, &afac[1], &lda, &s[1], &
scond, &amax, equed);
}
}
/* Save the condition number of the */
/* non-equilibrated system for use in CGET04. */
if (equil) {
roldc = rcondc;
}
/* Compute the 1-norm of A. */
anorm = clanhe_("1", uplo, &n, &afac[1], &lda, &
rwork[1]);
/* Factor the matrix A. */
cpotrf_(uplo, &n, &afac[1], &lda, &info);
/* Form the inverse of A. */
clacpy_(uplo, &n, &n, &afac[1], &lda, &a[1], &lda);
cpotri_(uplo, &n, &a[1], &lda, &info);
/* Compute the 1-norm condition number of A. */
ainvnm = clanhe_("1", uplo, &n, &a[1], &lda, &
rwork[1]);
if (anorm <= 0.f || ainvnm <= 0.f) {
rcondc = 1.f;
} else {
rcondc = 1.f / anorm / ainvnm;
}
}
/* Restore the matrix A. */
clacpy_(uplo, &n, &n, &asav[1], &lda, &a[1], &lda);
/* Form an exact solution and set the right hand side. */
s_copy(srnamc_1.srnamt, "CLARHS", (ftnlen)32, (ftnlen)
6);
clarhs_(path, xtype, uplo, " ", &n, &n, &kl, &ku,
nrhs, &a[1], &lda, &xact[1], &lda, &b[1], &
lda, iseed, &info);
*(unsigned char *)xtype = 'C';
clacpy_("Full", &n, nrhs, &b[1], &lda, &bsav[1], &lda);
if (nofact) {
/* --- Test CPOSV --- */
/* Compute the L*L' or U'*U factorization of the */
/* matrix and solve the system. */
clacpy_(uplo, &n, &n, &a[1], &lda, &afac[1], &lda);
clacpy_("Full", &n, nrhs, &b[1], &lda, &x[1], &
lda);
s_copy(srnamc_1.srnamt, "CPOSV ", (ftnlen)32, (
ftnlen)6);
cposv_(uplo, &n, nrhs, &afac[1], &lda, &x[1], &
lda, &info);
/* Check error code from CPOSV . */
if (info != izero) {
alaerh_(path, "CPOSV ", &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. */
cpot01_(uplo, &n, &a[1], &lda, &afac[1], &lda, &
rwork[1], result);
/* Compute residual of the computed solution. */
clacpy_("Full", &n, nrhs, &b[1], &lda, &work[1], &
lda);
cpot02_(uplo, &n, nrhs, &a[1], &lda, &x[1], &lda,
&work[1], &lda, &rwork[1], &result[1]);
/* Check solution from generated exact solution. */
cget04_(&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___48.ciunit = *nout;
s_wsfe(&io___48);
do_fio(&c__1, "CPOSV ", (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 CPOSVX --- */
if (! prefac) {
claset_(uplo, &n, &n, &c_b51, &c_b51, &afac[1], &
lda);
}
claset_("Full", &n, nrhs, &c_b51, &c_b51, &x[1], &lda);
if (iequed > 1 && n > 0) {
/* Equilibrate the matrix if FACT='F' and */
/* EQUED='Y'. */
claqhe_(uplo, &n, &a[1], &lda, &s[1], &scond, &
amax, equed);
}
/* Solve the system and compute the condition number */
/* and error bounds using CPOSVX. */
s_copy(srnamc_1.srnamt, "CPOSVX", (ftnlen)32, (ftnlen)
6);
cposvx_(fact, uplo, &n, nrhs, &a[1], &lda, &afac[1], &
lda, 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 CPOSVX. */
if (info == n + 1) {
goto L90;
}
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, "CPOSVX", &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. */
cpot01_(uplo, &n, &a[1], &lda, &afac[1], &lda,
&rwork[(*nrhs << 1) + 1], result);
k1 = 1;
} else {
k1 = 2;
}
/* Compute residual of the computed solution. */
clacpy_("Full", &n, nrhs, &bsav[1], &lda, &work[1]
, &lda);
cpot02_(uplo, &n, nrhs, &asav[1], &lda, &x[1], &
lda, &work[1], &lda, &rwork[(*nrhs << 1)
+ 1], &result[1]);
/* Check solution from generated exact solution. */
if (nofact || prefac && lsame_(equed, "N")) {
cget04_(&n, nrhs, &x[1], &lda, &xact[1], &lda,
&rcondc, &result[2]);
} else {
cget04_(&n, nrhs, &x[1], &lda, &xact[1], &lda,
&roldc, &result[2]);
}
/* Check the error bounds from iterative */
/* refinement. */
cpot05_(uplo, &n, nrhs, &asav[1], &lda, &b[1], &
lda, &x[1], &lda, &xact[1], &lda, &rwork[
1], &rwork[*nrhs + 1], &result[3]);
} else {
k1 = 6;
}
/* Compare RCOND from CPOSVX 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___51.ciunit = *nout;
s_wsfe(&io___51);
do_fio(&c__1, "CPOSVX", (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___52.ciunit = *nout;
s_wsfe(&io___52);
do_fio(&c__1, "CPOSVX", (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;
/* --- Test CPOSVXX --- */
/* Restore the matrices A and B. */
clacpy_("Full", &n, &n, &asav[1], &lda, &a[1], &lda);
clacpy_("Full", &n, nrhs, &bsav[1], &lda, &b[1], &lda);
if (! prefac) {
claset_(uplo, &n, &n, &c_b51, &c_b51, &afac[1], &
lda);
}
claset_("Full", &n, nrhs, &c_b51, &c_b51, &x[1], &lda);
if (iequed > 1 && n > 0) {
/* Equilibrate the matrix if FACT='F' and */
/* EQUED='Y'. */
claqhe_(uplo, &n, &a[1], &lda, &s[1], &scond, &
amax, equed);
}
/* Solve the system and compute the condition number */
/* and error bounds using CPOSVXX. */
s_copy(srnamc_1.srnamt, "CPOSVXX", (ftnlen)32, (
ftnlen)7);
salloc3();
cposvxx_(fact, uplo, &n, nrhs, &a[1], &lda, &afac[1],
&lda, equed, &s[1], &b[1], &lda, &x[1], &lda,
&rcond, &rpvgrw_svxx__, berr, &n_err_bnds__,
errbnds_n__, errbnds_c__, &c__0, &c_b94, &
work[1], &rwork[(*nrhs << 1) + 1], &info);
free3();
/* Check the error code from CPOSVXX. */
if (info == n + 1) {
goto L90;
}
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, "CPOSVXX", &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. */
cpot01_(uplo, &n, &a[1], &lda, &afac[1], &lda,
&rwork[(*nrhs << 1) + 1], result);
k1 = 1;
} else {
k1 = 2;
}
/* Compute residual of the computed solution. */
clacpy_("Full", &n, nrhs, &bsav[1], &lda, &work[1]
, &lda);
cpot02_(uplo, &n, nrhs, &asav[1], &lda, &x[1], &
lda, &work[1], &lda, &rwork[(*nrhs << 1)
+ 1], &result[1]);
/* Check solution from generated exact solution. */
if (nofact || prefac && lsame_(equed, "N")) {
cget04_(&n, nrhs, &x[1], &lda, &xact[1], &lda,
&rcondc, &result[2]);
} else {
cget04_(&n, nrhs, &x[1], &lda, &xact[1], &lda,
&roldc, &result[2]);
}
/* Check the error bounds from iterative */
/* refinement. */
cpot05_(uplo, &n, nrhs, &asav[1], &lda, &b[1], &
lda, &x[1], &lda, &xact[1], &lda, &rwork[
1], &rwork[*nrhs + 1], &result[3]);
} else {
k1 = 6;
}
/* Compare RCOND from CPOSVXX 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___58.ciunit = *nout;
s_wsfe(&io___58);
do_fio(&c__1, "CPOSVXX", (ftnlen)7);
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___59.ciunit = *nout;
s_wsfe(&io___59);
do_fio(&c__1, "CPOSVXX", (ftnlen)7);
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;
}
/* L85: */
}
nrun = nrun + 7 - k1;
L90:
;
}
/* L100: */
}
L110:
;
}
L120:
;
}
/* L130: */
}
/* Print a summary of the results. */
alasvm_(path, nout, &nfail, &nrun, &nerrs);
/* Test Error Bounds for CGESVXX */
cebchvxx_(thresh, path);
return 0;
/* End of CDRVPO */
} /* cdrvpo_ */
/* Subroutine */ int dchkps_(logical *dotype, integer *nn, integer *nval,
integer *nnb, integer *nbval, integer *nrank, integer *rankval,
doublereal *thresh, logical *tsterr, integer *nmax, doublereal *a,
doublereal *afac, doublereal *perm, integer *piv, doublereal *work,
doublereal *rwork, integer *nout)
{
/* Initialized data */
static integer iseedy[4] = { 1988,1989,1990,1991 };
static char uplos[1*2] = "U" "L";
/* Format strings */
static char fmt_9999[] = "(\002 UPLO = '\002,a1,\002', N =\002,i5,\002, "
"RANK =\002,i3,\002, Diff =\002,i5,\002, NB =\002,i4,\002, type"
" \002,i2,\002, Ratio =\002,g12.5)";
/* System generated locals */
integer i__1, i__2, i__3, i__4;
doublereal d__1;
/* Builtin functions */
/* Subroutine */ int s_copy(char *, char *, ftnlen, ftnlen);
integer i_dceiling(doublereal *), s_wsfe(cilist *), do_fio(integer *,
char *, ftnlen), e_wsfe(void);
/* Local variables */
integer rankdiff, comprank, i__, n, nb, in, kl, ku, lda, inb;
doublereal tol;
integer mode, imat, info, rank;
char path[3], dist[1], uplo[1], type__[1];
integer nrun;
extern /* Subroutine */ int alahd_(integer *, char *);
integer nfail, iseed[4], irank, nimat;
extern /* Subroutine */ int dpst01_(char *, integer *, doublereal *,
integer *, doublereal *, integer *, doublereal *, integer *,
integer *, doublereal *, doublereal *, integer *);
doublereal anorm;
integer iuplo, izero, nerrs;
extern /* Subroutine */ int dlatb5_(char *, integer *, integer *, char *,
integer *, integer *, doublereal *, integer *, doublereal *, char
*), alaerh_(char *, char *, integer *,
integer *, char *, integer *, integer *, integer *, integer *,
integer *, integer *, integer *, integer *, integer *), dlacpy_(char *, integer *, integer *, doublereal
*, integer *, doublereal *, integer *), alasum_(char *,
integer *, integer *, integer *, integer *);
doublereal cndnum;
extern /* Subroutine */ int dlatmt_(integer *, integer *, char *, integer
*, char *, doublereal *, integer *, doublereal *, doublereal *,
integer *, integer *, integer *, char *, doublereal *, integer *,
doublereal *, integer *), xlaenv_(integer
*, integer *), derrps_(char *, integer *), dpstrf_(char *,
integer *, doublereal *, integer *, integer *, integer *,
doublereal *, doublereal *, integer *);
doublereal result;
/* Fortran I/O blocks */
static cilist io___33 = { 0, 0, 0, fmt_9999, 0 };
/* -- LAPACK test routine (version 3.1) -- */
/* Craig Lucas, University of Manchester / NAG Ltd. */
/* October, 2008 */
/* .. Scalar Arguments .. */
/* .. */
/* .. Array Arguments .. */
/* .. */
/* Purpose */
/* ======= */
/* DCHKPS tests DPSTRF. */
/* Arguments */
/* ========= */
/* DOTYPE (input) LOGICAL array, dimension (NTYPES) */
/* The matrix types to be used for testing. Matrices of type j */
/* (for 1 <= j <= NTYPES) are used for testing if DOTYPE(j) = */
/* .TRUE.; if DOTYPE(j) = .FALSE., then type j is not used. */
/* NN (input) INTEGER */
/* The number of values of N contained in the vector NVAL. */
/* NVAL (input) INTEGER array, dimension (NN) */
/* The values of the matrix dimension N. */
/* NNB (input) INTEGER */
/* The number of values of NB contained in the vector NBVAL. */
/* NBVAL (input) INTEGER array, dimension (NBVAL) */
/* The values of the block size NB. */
/* NRANK (input) INTEGER */
/* The number of values of RANK contained in the vector RANKVAL. */
/* RANKVAL (input) INTEGER array, dimension (NBVAL) */
/* The values of the block size NB. */
/* THRESH (input) DOUBLE PRECISION */
/* The threshold value for the test ratios. A result is */
/* included in the output file if RESULT >= THRESH. To have */
/* every test ratio printed, use THRESH = 0. */
/* TSTERR (input) LOGICAL */
/* Flag that indicates whether error exits are to be tested. */
/* NMAX (input) INTEGER */
/* The maximum value permitted for N, used in dimensioning the */
/* work arrays. */
/* A (workspace) DOUBLE PRECISION array, dimension (NMAX*NMAX) */
/* AFAC (workspace) DOUBLE PRECISION array, dimension (NMAX*NMAX) */
/* PERM (workspace) DOUBLE PRECISION array, dimension (NMAX*NMAX) */
/* PIV (workspace) INTEGER array, dimension (NMAX) */
/* WORK (workspace) DOUBLE PRECISION array, dimension (NMAX*3) */
/* RWORK (workspace) DOUBLE PRECISION array, dimension (NMAX) */
/* NOUT (input) INTEGER */
/* The unit number for output. */
/* ===================================================================== */
/* .. Parameters .. */
/* .. */
/* .. Local Scalars .. */
/* .. */
/* .. Local Arrays .. */
/* .. */
/* .. External Subroutines .. */
/* .. */
/* .. Scalars in Common .. */
/* .. */
/* .. Common blocks .. */
/* .. */
/* .. Intrinsic Functions .. */
/* .. */
/* .. Data statements .. */
/* Parameter adjustments */
--rwork;
--work;
--piv;
--perm;
--afac;
--a;
--rankval;
--nbval;
--nval;
--dotype;
/* Function Body */
/* .. */
/* .. Executable Statements .. */
/* Initialize constants and the random number seed. */
s_copy(path, "Double precision", (ftnlen)1, (ftnlen)16);
s_copy(path + 1, "PS", (ftnlen)2, (ftnlen)2);
nrun = 0;
nfail = 0;
nerrs = 0;
for (i__ = 1; i__ <= 4; ++i__) {
iseed[i__ - 1] = iseedy[i__ - 1];
/* L100: */
}
/* Test the error exits */
if (*tsterr) {
derrps_(path, nout);
}
infoc_1.infot = 0;
xlaenv_(&c__2, &c__2);
/* Do for each value of N in NVAL */
i__1 = *nn;
for (in = 1; in <= i__1; ++in) {
n = nval[in];
lda = max(n,1);
nimat = 9;
if (n <= 0) {
nimat = 1;
}
izero = 0;
i__2 = nimat;
for (imat = 1; imat <= i__2; ++imat) {
/* Do the tests only if DOTYPE( IMAT ) is true. */
if (! dotype[imat]) {
goto L140;
}
/* Do for each value of RANK in RANKVAL */
i__3 = *nrank;
for (irank = 1; irank <= i__3; ++irank) {
/* Only repeat test 3 to 5 for different ranks */
/* Other tests use full rank */
if ((imat < 3 || imat > 5) && irank > 1) {
goto L130;
}
d__1 = n * (doublereal) rankval[irank] / 100.;
rank = i_dceiling(&d__1);
/* Do first for UPLO = 'U', then for UPLO = 'L' */
for (iuplo = 1; iuplo <= 2; ++iuplo) {
*(unsigned char *)uplo = *(unsigned char *)&uplos[iuplo -
1];
/* Set up parameters with DLATB5 and generate a test matrix */
/* with DLATMT. */
dlatb5_(path, &imat, &n, type__, &kl, &ku, &anorm, &mode,
&cndnum, dist);
s_copy(srnamc_1.srnamt, "DLATMT", (ftnlen)32, (ftnlen)6);
dlatmt_(&n, &n, dist, iseed, type__, &rwork[1], &mode, &
cndnum, &anorm, &rank, &kl, &ku, uplo, &a[1], &
lda, &work[1], &info);
/* Check error code from DLATMT. */
if (info != 0) {
alaerh_(path, "DLATMT", &info, &c__0, uplo, &n, &n, &
c_n1, &c_n1, &c_n1, &imat, &nfail, &nerrs,
nout);
goto L120;
}
/* Do for each value of NB in NBVAL */
i__4 = *nnb;
for (inb = 1; inb <= i__4; ++inb) {
nb = nbval[inb];
xlaenv_(&c__1, &nb);
/* Compute the pivoted L*L' or U'*U factorization */
/* of the matrix. */
dlacpy_(uplo, &n, &n, &a[1], &lda, &afac[1], &lda);
s_copy(srnamc_1.srnamt, "DPSTRF", (ftnlen)32, (ftnlen)
6);
/* Use default tolerance */
tol = -1.;
dpstrf_(uplo, &n, &afac[1], &lda, &piv[1], &comprank,
&tol, &work[1], &info);
/* Check error code from DPSTRF. */
if (info < izero || info != izero && rank == n ||
info <= izero && rank < n) {
alaerh_(path, "DPSTRF", &info, &izero, uplo, &n, &
n, &c_n1, &c_n1, &nb, &imat, &nfail, &
nerrs, nout);
goto L110;
}
/* Skip the test if INFO is not 0. */
if (info != 0) {
goto L110;
}
/* Reconstruct matrix from factors and compute residual. */
/* PERM holds permuted L*L^T or U^T*U */
dpst01_(uplo, &n, &a[1], &lda, &afac[1], &lda, &perm[
1], &lda, &piv[1], &rwork[1], &result, &
comprank);
/* Print information about the tests that did not pass */
/* the threshold or where computed rank was not RANK. */
if (n == 0) {
comprank = 0;
}
rankdiff = rank - comprank;
if (result >= *thresh) {
if (nfail == 0 && nerrs == 0) {
alahd_(nout, path);
}
io___33.ciunit = *nout;
s_wsfe(&io___33);
do_fio(&c__1, uplo, (ftnlen)1);
do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer))
;
do_fio(&c__1, (char *)&rank, (ftnlen)sizeof(
integer));
do_fio(&c__1, (char *)&rankdiff, (ftnlen)sizeof(
integer));
do_fio(&c__1, (char *)&nb, (ftnlen)sizeof(integer)
);
do_fio(&c__1, (char *)&imat, (ftnlen)sizeof(
integer));
do_fio(&c__1, (char *)&result, (ftnlen)sizeof(
doublereal));
e_wsfe();
++nfail;
}
++nrun;
L110:
;
}
L120:
;
}
L130:
;
}
L140:
;
}
/* L150: */
}
/* Print a summary of the results. */
alasum_(path, nout, &nfail, &nrun, &nerrs);
return 0;
/* End of DCHKPS */
} /* dchkps_ */
/* Subroutine */ int cdrvgt_(logical *dotype, integer *nn, integer *nval,
integer *nrhs, real *thresh, logical *tsterr, complex *a, complex *af,
complex *b, complex *x, complex *xact, complex *work, real *rwork,
integer *iwork, integer *nout)
{
/* Initialized data */
static integer iseedy[4] = { 0,0,0,1 };
static char transs[1*3] = "N" "T" "C";
/* 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', TRANS='\002,"
"a1,\002', N =\002,i5,\002, type \002,i2,\002, test \002,i2,\002,"
" ratio = \002,g12.5)";
/* System generated locals */
address a__1[2];
integer i__1, i__2, i__3, i__4, i__5, i__6[2];
real r__1, r__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 real cond;
static integer mode, koff, imat, info;
static char path[3], dist[1], type__[1];
static integer nrun, i__, j, k, m, n, ifact;
extern /* Subroutine */ int cget04_(integer *, integer *, complex *,
integer *, complex *, integer *, real *, real *);
static integer nfail, iseed[4];
static real z__[3];
extern /* Subroutine */ int cgtt01_(integer *, complex *, complex *,
complex *, complex *, complex *, complex *, complex *, integer *,
complex *, integer *, real *, real *), cgtt02_(char *, integer *,
integer *, complex *, complex *, complex *, complex *, integer *,
complex *, integer *, real *, real *);
static real rcond;
extern /* Subroutine */ int cgtt05_(char *, integer *, integer *, complex
*, complex *, complex *, complex *, integer *, complex *, integer
*, complex *, integer *, real *, real *, real *);
static integer nimat;
extern doublereal sget06_(real *, real *);
static real anorm;
static integer itran;
extern /* Subroutine */ int ccopy_(integer *, complex *, integer *,
complex *, integer *), cgtsv_(integer *, integer *, complex *,
complex *, complex *, complex *, integer *, integer *);
static char trans[1];
static integer izero, nerrs, k1;
static logical zerot;
extern /* Subroutine */ int clatb4_(char *, integer *, integer *, integer
*, char *, integer *, integer *, real *, integer *, real *, 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 integer ku, ix, nt;
extern /* Subroutine */ int clagtm_(char *, integer *, integer *, real *,
complex *, complex *, complex *, complex *, integer *, real *,
complex *, integer *);
static real rcondc;
extern doublereal clangt_(char *, integer *, complex *, complex *,
complex *);
extern /* Subroutine */ int csscal_(integer *, real *, complex *, integer
*), clacpy_(char *, integer *, integer *, complex *, integer *,
complex *, integer *), claset_(char *, integer *, integer
*, complex *, complex *, complex *, integer *);
static real rcondi;
extern /* Subroutine */ int alasvm_(char *, integer *, integer *, integer
*, integer *);
static real rcondo, anormi;
extern /* Subroutine */ int clarnv_(integer *, integer *, integer *,
complex *), clatms_(integer *, integer *, char *, integer *, char
*, real *, integer *, real *, real *, integer *, integer *, char *
, complex *, integer *, complex *, integer *);
static real ainvnm;
extern /* Subroutine */ int cgttrf_(integer *, complex *, complex *,
complex *, complex *, integer *, integer *);
static logical trfcon;
static real anormo;
extern doublereal scasum_(integer *, complex *, integer *);
extern /* Subroutine */ int cgttrs_(char *, integer *, integer *, complex
*, complex *, complex *, complex *, integer *, complex *, integer
*, integer *), cerrvx_(char *, integer *);
static real result[6];
extern /* Subroutine */ int cgtsvx_(char *, char *, integer *, integer *,
complex *, complex *, complex *, complex *, complex *, complex *,
complex *, integer *, complex *, integer *, complex *, integer *,
real *, real *, real *, complex *, real *, integer *);
static integer lda;
/* Fortran I/O blocks */
static cilist io___42 = { 0, 0, 0, fmt_9999, 0 };
static cilist io___46 = { 0, 0, 0, fmt_9998, 0 };
static cilist io___47 = { 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
=======
CDRVGT tests CGTSV 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.
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.
A (workspace) COMPLEX array, dimension (NMAX*4)
AF (workspace) COMPLEX array, dimension (NMAX*4)
B (workspace) COMPLEX array, dimension (NMAX*NRHS)
X (workspace) COMPLEX array, dimension (NMAX*NRHS)
XACT (workspace) COMPLEX array, dimension (NMAX*NRHS)
WORK (workspace) COMPLEX array, dimension
(NMAX*max(3,NRHS))
RWORK (workspace) REAL array, dimension (NMAX+2*NRHS)
IWORK (workspace) INTEGER array, dimension (2*NMAX)
NOUT (input) INTEGER
The unit number for output.
=====================================================================
Parameter adjustments */
--iwork;
--rwork;
--work;
--xact;
--x;
--b;
--af;
--a;
--nval;
--dotype;
/* Function Body */
s_copy(path, "Complex precision", (ftnlen)1, (ftnlen)17);
s_copy(path + 1, "GT", (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) {
cerrvx_(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];
/* Computing MAX */
i__2 = n - 1;
m = max(i__2,0);
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 (! dotype[imat]) {
goto L130;
}
/* Set up parameters with CLATB4. */
clatb4_(path, &imat, &n, &n, type__, &kl, &ku, &anorm, &mode, &
cond, dist);
zerot = imat >= 8 && imat <= 10;
if (imat <= 6) {
/* Types 1-6: generate matrices of known condition number.
Computing MAX */
i__3 = 2 - ku, i__4 = 3 - max(1,n);
koff = max(i__3,i__4);
s_copy(srnamc_1.srnamt, "CLATMS", (ftnlen)6, (ftnlen)6);
clatms_(&n, &n, dist, iseed, type__, &rwork[1], &mode, &cond,
&anorm, &kl, &ku, "Z", &af[koff], &c__3, &work[1], &
info);
/* Check the error code from CLATMS. */
if (info != 0) {
alaerh_(path, "CLATMS", &info, &c__0, " ", &n, &n, &kl, &
ku, &c_n1, &imat, &nfail, &nerrs, nout);
goto L130;
}
izero = 0;
if (n > 1) {
i__3 = n - 1;
ccopy_(&i__3, &af[4], &c__3, &a[1], &c__1);
i__3 = n - 1;
ccopy_(&i__3, &af[3], &c__3, &a[n + m + 1], &c__1);
}
ccopy_(&n, &af[2], &c__3, &a[m + 1], &c__1);
} else {
/* Types 7-12: generate tridiagonal matrices with
unknown condition numbers. */
if (! zerot || ! dotype[7]) {
/* Generate a matrix with elements from [-1,1]. */
i__3 = n + (m << 1);
clarnv_(&c__2, iseed, &i__3, &a[1]);
if (anorm != 1.f) {
i__3 = n + (m << 1);
csscal_(&i__3, &anorm, &a[1], &c__1);
}
} else if (izero > 0) {
/* Reuse the last matrix by copying back the zeroed out
elements. */
if (izero == 1) {
i__3 = n;
a[i__3].r = z__[1], a[i__3].i = 0.f;
if (n > 1) {
a[1].r = z__[2], a[1].i = 0.f;
}
} else if (izero == n) {
i__3 = n * 3 - 2;
a[i__3].r = z__[0], a[i__3].i = 0.f;
i__3 = (n << 1) - 1;
a[i__3].r = z__[1], a[i__3].i = 0.f;
} else {
i__3 = (n << 1) - 2 + izero;
a[i__3].r = z__[0], a[i__3].i = 0.f;
i__3 = n - 1 + izero;
a[i__3].r = z__[1], a[i__3].i = 0.f;
i__3 = izero;
a[i__3].r = z__[2], a[i__3].i = 0.f;
}
}
/* If IMAT > 7, set one column of the matrix to 0. */
if (! zerot) {
izero = 0;
} else if (imat == 8) {
izero = 1;
i__3 = n;
z__[1] = a[i__3].r;
i__3 = n;
a[i__3].r = 0.f, a[i__3].i = 0.f;
if (n > 1) {
z__[2] = a[1].r;
a[1].r = 0.f, a[1].i = 0.f;
}
} else if (imat == 9) {
izero = n;
i__3 = n * 3 - 2;
z__[0] = a[i__3].r;
i__3 = (n << 1) - 1;
z__[1] = a[i__3].r;
i__3 = n * 3 - 2;
a[i__3].r = 0.f, a[i__3].i = 0.f;
i__3 = (n << 1) - 1;
a[i__3].r = 0.f, a[i__3].i = 0.f;
} else {
izero = (n + 1) / 2;
i__3 = n - 1;
for (i__ = izero; i__ <= i__3; ++i__) {
i__4 = (n << 1) - 2 + i__;
a[i__4].r = 0.f, a[i__4].i = 0.f;
i__4 = n - 1 + i__;
a[i__4].r = 0.f, a[i__4].i = 0.f;
i__4 = i__;
a[i__4].r = 0.f, a[i__4].i = 0.f;
/* L20: */
}
i__3 = n * 3 - 2;
a[i__3].r = 0.f, a[i__3].i = 0.f;
i__3 = (n << 1) - 1;
a[i__3].r = 0.f, a[i__3].i = 0.f;
}
}
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 CGTSVX. */
if (zerot) {
if (ifact == 1) {
goto L120;
}
rcondo = 0.f;
rcondi = 0.f;
} else if (ifact == 1) {
i__3 = n + (m << 1);
ccopy_(&i__3, &a[1], &c__1, &af[1], &c__1);
/* Compute the 1-norm and infinity-norm of A. */
anormo = clangt_("1", &n, &a[1], &a[m + 1], &a[n + m + 1]);
anormi = clangt_("I", &n, &a[1], &a[m + 1], &a[n + m + 1]);
/* Factor the matrix A. */
cgttrf_(&n, &af[1], &af[m + 1], &af[n + m + 1], &af[n + (
m << 1) + 1], &iwork[1], &info);
/* Use CGTTRS to solve for one column at a time of
inv(A), computing the maximum column sum as we go. */
ainvnm = 0.f;
i__3 = n;
for (i__ = 1; i__ <= i__3; ++i__) {
i__4 = n;
for (j = 1; j <= i__4; ++j) {
i__5 = j;
x[i__5].r = 0.f, x[i__5].i = 0.f;
/* L30: */
}
i__4 = i__;
x[i__4].r = 1.f, x[i__4].i = 0.f;
cgttrs_("No transpose", &n, &c__1, &af[1], &af[m + 1],
&af[n + m + 1], &af[n + (m << 1) + 1], &
iwork[1], &x[1], &lda, &info);
/* Computing MAX */
r__1 = ainvnm, r__2 = scasum_(&n, &x[1], &c__1);
ainvnm = dmax(r__1,r__2);
/* L40: */
}
/* Compute the 1-norm condition number of A. */
if (anormo <= 0.f || ainvnm <= 0.f) {
rcondo = 1.f;
} else {
rcondo = 1.f / anormo / ainvnm;
}
/* Use CGTTRS to solve for one column at a time of
inv(A'), computing the maximum column sum as we go. */
ainvnm = 0.f;
i__3 = n;
for (i__ = 1; i__ <= i__3; ++i__) {
i__4 = n;
for (j = 1; j <= i__4; ++j) {
i__5 = j;
x[i__5].r = 0.f, x[i__5].i = 0.f;
/* L50: */
}
i__4 = i__;
x[i__4].r = 1.f, x[i__4].i = 0.f;
cgttrs_("Conjugate transpose", &n, &c__1, &af[1], &af[
m + 1], &af[n + m + 1], &af[n + (m << 1) + 1],
&iwork[1], &x[1], &lda, &info);
/* Computing MAX */
r__1 = ainvnm, r__2 = scasum_(&n, &x[1], &c__1);
ainvnm = dmax(r__1,r__2);
/* L60: */
}
/* Compute the infinity-norm condition number of A. */
if (anormi <= 0.f || ainvnm <= 0.f) {
rcondi = 1.f;
} else {
rcondi = 1.f / anormi / ainvnm;
}
}
for (itran = 1; itran <= 3; ++itran) {
*(unsigned char *)trans = *(unsigned char *)&transs[itran
- 1];
if (itran == 1) {
rcondc = rcondo;
} else {
rcondc = rcondi;
}
/* Generate NRHS random solution vectors. */
ix = 1;
i__3 = *nrhs;
for (j = 1; j <= i__3; ++j) {
clarnv_(&c__2, iseed, &n, &xact[ix]);
ix += lda;
/* L70: */
}
/* Set the right hand side. */
clagtm_(trans, &n, nrhs, &c_b43, &a[1], &a[m + 1], &a[n +
m + 1], &xact[1], &lda, &c_b44, &b[1], &lda);
if (ifact == 2 && itran == 1) {
/* --- Test CGTSV ---
Solve the system using Gaussian elimination with
partial pivoting. */
i__3 = n + (m << 1);
ccopy_(&i__3, &a[1], &c__1, &af[1], &c__1);
clacpy_("Full", &n, nrhs, &b[1], &lda, &x[1], &lda);
s_copy(srnamc_1.srnamt, "CGTSV ", (ftnlen)6, (ftnlen)
6);
cgtsv_(&n, nrhs, &af[1], &af[m + 1], &af[n + m + 1], &
x[1], &lda, &info);
/* Check error code from CGTSV . */
if (info != izero) {
alaerh_(path, "CGTSV ", &info, &izero, " ", &n, &
n, &c__1, &c__1, nrhs, &imat, &nfail, &
nerrs, nout);
}
nt = 1;
if (izero == 0) {
/* Check residual of computed solution. */
clacpy_("Full", &n, nrhs, &b[1], &lda, &work[1], &
lda);
cgtt02_(trans, &n, nrhs, &a[1], &a[m + 1], &a[n +
m + 1], &x[1], &lda, &work[1], &lda, &
rwork[1], &result[1]);
/* Check solution from generated exact solution. */
cget04_(&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 = 2; k <= i__3; ++k) {
if (result[k - 1] >= *thresh) {
if (nfail == 0 && nerrs == 0) {
aladhd_(nout, path);
}
io___42.ciunit = *nout;
s_wsfe(&io___42);
do_fio(&c__1, "CGTSV ", (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(real));
e_wsfe();
++nfail;
}
/* L80: */
}
nrun = nrun + nt - 1;
}
/* --- Test CGTSVX --- */
if (ifact > 1) {
/* Initialize AF to zero. */
i__3 = n * 3 - 2;
for (i__ = 1; i__ <= i__3; ++i__) {
i__4 = i__;
af[i__4].r = 0.f, af[i__4].i = 0.f;
/* L90: */
}
}
claset_("Full", &n, nrhs, &c_b65, &c_b65, &x[1], &lda);
/* Solve the system and compute the condition number and
error bounds using CGTSVX. */
s_copy(srnamc_1.srnamt, "CGTSVX", (ftnlen)6, (ftnlen)6);
cgtsvx_(fact, trans, &n, nrhs, &a[1], &a[m + 1], &a[n + m
+ 1], &af[1], &af[m + 1], &af[n + m + 1], &af[n +
(m << 1) + 1], &iwork[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 CGTSVX. */
if (info != izero) {
/* Writing concatenation */
i__6[0] = 1, a__1[0] = fact;
i__6[1] = 1, a__1[1] = trans;
s_cat(ch__1, a__1, i__6, &c__2, (ftnlen)2);
alaerh_(path, "CGTSVX", &info, &izero, ch__1, &n, &n,
&c__1, &c__1, nrhs, &imat, &nfail, &nerrs,
nout);
}
if (ifact >= 2) {
/* Reconstruct matrix from factors and compute
residual. */
cgtt01_(&n, &a[1], &a[m + 1], &a[n + m + 1], &af[1], &
af[m + 1], &af[n + m + 1], &af[n + (m << 1) +
1], &iwork[1], &work[1], &lda, &rwork[1],
result);
k1 = 1;
} else {
k1 = 2;
}
if (info == 0) {
trfcon = FALSE_;
/* Check residual of computed solution. */
clacpy_("Full", &n, nrhs, &b[1], &lda, &work[1], &lda);
cgtt02_(trans, &n, nrhs, &a[1], &a[m + 1], &a[n + m +
1], &x[1], &lda, &work[1], &lda, &rwork[1], &
result[1]);
/* Check solution from generated exact solution. */
cget04_(&n, nrhs, &x[1], &lda, &xact[1], &lda, &
rcondc, &result[2]);
/* Check the error bounds from iterative refinement. */
cgtt05_(trans, &n, nrhs, &a[1], &a[m + 1], &a[n + m +
1], &b[1], &lda, &x[1], &lda, &xact[1], &lda,
&rwork[1], &rwork[*nrhs + 1], &result[3]);
nt = 5;
}
/* Print information about the tests that did not pass
the threshold. */
i__3 = nt;
for (k = k1; k <= i__3; ++k) {
if (result[k - 1] >= *thresh) {
if (nfail == 0 && nerrs == 0) {
aladhd_(nout, path);
}
io___46.ciunit = *nout;
s_wsfe(&io___46);
do_fio(&c__1, "CGTSVX", (ftnlen)6);
do_fio(&c__1, fact, (ftnlen)1);
do_fio(&c__1, trans, (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;
}
/* L100: */
}
/* Check the reciprocal of the condition number. */
result[5] = sget06_(&rcond, &rcondc);
if (result[5] >= *thresh) {
if (nfail == 0 && nerrs == 0) {
aladhd_(nout, path);
}
io___47.ciunit = *nout;
s_wsfe(&io___47);
do_fio(&c__1, "CGTSVX", (ftnlen)6);
do_fio(&c__1, fact, (ftnlen)1);
do_fio(&c__1, trans, (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;
}
nrun = nrun + nt - k1 + 2;
/* L110: */
}
L120:
;
}
L130:
;
}
/* L140: */
}
/* Print a summary of the results. */
alasvm_(path, nout, &nfail, &nrun, &nerrs);
return 0;
/* End of CDRVGT */
} /* cdrvgt_ */
/* Subroutine */ int cdrvpb_(logical *dotype, integer *nn, integer *nval,
integer *nrhs, real *thresh, logical *tsterr, integer *nmax, complex *
a, complex *afac, complex *asav, complex *b, complex *bsav, complex *
x, complex *xact, real *s, complex *work, real *rwork, integer *nout)
{
/* Initialized data */
static integer iseedy[4] = { 1988,1989,1990,1991 };
static char facts[1*3] = "F" "N" "E";
static char equeds[1*2] = "N" "Y";
/* Format strings */
static char fmt_9999[] = "(1x,a6,\002, UPLO='\002,a1,\002', N =\002,i5"
",\002, KD =\002,i5,\002, type \002,i1,\002, test(\002,i1,\002)"
"=\002,g12.5)";
static char fmt_9997[] = "(1x,a6,\002( '\002,a1,\002', '\002,a1,\002',"
" \002,i5,\002, \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( '\002,a1,\002', '\002,a1,\002',"
" \002,i5,\002, \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, i__6, i__7[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 */
integer i__, k, n, i1, i2, k1, kd, nb, in, kl, iw, ku, nt, lda, ikd, nkd,
ldab;
char fact[1];
integer ioff, mode, koff;
real amax;
char path[3];
integer imat, info;
char dist[1], uplo[1], type__[1];
integer nrun, ifact;
extern /* Subroutine */ int cget04_(integer *, integer *, complex *,
integer *, complex *, integer *, real *, real *);
integer nfail, iseed[4], nfact;
extern /* Subroutine */ int cpbt01_(char *, integer *, integer *, complex
*, integer *, complex *, integer *, real *, real *),
cpbt02_(char *, integer *, integer *, integer *, complex *,
integer *, complex *, integer *, complex *, integer *, real *,
real *), cpbt05_(char *, integer *, integer *, integer *,
complex *, integer *, complex *, integer *, complex *, integer *,
complex *, integer *, real *, real *, real *);
integer kdval[4];
extern logical lsame_(char *, char *);
char equed[1];
integer nbmin;
real rcond, roldc, scond;
integer nimat;
extern doublereal sget06_(real *, real *);
real anorm;
extern /* Subroutine */ int ccopy_(integer *, complex *, integer *,
complex *, integer *), cpbsv_(char *, integer *, integer *,
integer *, complex *, integer *, complex *, integer *, integer *);
logical equil;
extern /* Subroutine */ int cswap_(integer *, complex *, integer *,
complex *, integer *);
integer iuplo, izero, nerrs;
logical zerot;
char xtype[1];
extern /* Subroutine */ int clatb4_(char *, integer *, integer *, integer
*, char *, integer *, integer *, real *, integer *, real *, char *
), aladhd_(integer *, char *);
extern doublereal clanhb_(char *, char *, integer *, integer *, complex *,
integer *, real *), clange_(char *, integer *,
integer *, complex *, integer *, real *);
extern /* Subroutine */ int claqhb_(char *, integer *, integer *, complex
*, integer *, real *, real *, real *, char *),
alaerh_(char *, char *, integer *, integer *, char *, integer *,
integer *, integer *, integer *, integer *, integer *, integer *,
integer *, integer *), claipd_(integer *,
complex *, integer *, integer *);
logical prefac;
real rcondc;
logical nofact;
char packit[1];
integer iequed;
extern /* Subroutine */ int clacpy_(char *, integer *, integer *, complex
*, integer *, complex *, integer *), clarhs_(char *, char
*, char *, char *, integer *, integer *, integer *, integer *,
integer *, complex *, integer *, complex *, integer *, complex *,
integer *, integer *, integer *),
claset_(char *, integer *, integer *, complex *, complex *,
complex *, integer *), cpbequ_(char *, integer *, integer
*, complex *, integer *, real *, real *, real *, integer *), alasvm_(char *, integer *, integer *, integer *, integer
*);
real cndnum;
extern /* Subroutine */ int clatms_(integer *, integer *, char *, integer
*, char *, real *, integer *, real *, real *, integer *, integer *
, char *, complex *, integer *, complex *, integer *), cpbtrf_(char *, integer *, integer *, complex *,
integer *, integer *);
real ainvnm;
extern /* Subroutine */ int cpbtrs_(char *, integer *, integer *, integer
*, complex *, integer *, complex *, integer *, integer *),
xlaenv_(integer *, integer *), cpbsvx_(char *, char *, integer *,
integer *, integer *, complex *, integer *, complex *, integer *,
char *, real *, complex *, integer *, complex *, integer *, real
*, real *, real *, complex *, real *, integer *), cerrvx_(char *, integer *);
real result[6];
/* Fortran I/O blocks */
static cilist io___57 = { 0, 0, 0, fmt_9999, 0 };
static cilist io___60 = { 0, 0, 0, fmt_9997, 0 };
static cilist io___61 = { 0, 0, 0, fmt_9998, 0 };
/* -- LAPACK test routine (version 3.1) -- */
/* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */
/* November 2006 */
/* .. Scalar Arguments .. */
/* .. */
/* .. Array Arguments .. */
/* .. */
/* Purpose */
/* ======= */
/* CDRVPB tests the driver routines CPBSV 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) COMPLEX array, dimension (NMAX*NMAX) */
/* AFAC (workspace) COMPLEX array, dimension (NMAX*NMAX) */
/* ASAV (workspace) COMPLEX array, dimension (NMAX*NMAX) */
/* B (workspace) COMPLEX array, dimension (NMAX*NRHS) */
/* BSAV (workspace) COMPLEX array, dimension (NMAX*NRHS) */
/* X (workspace) COMPLEX array, dimension (NMAX*NRHS) */
/* XACT (workspace) COMPLEX array, dimension (NMAX*NRHS) */
/* S (workspace) REAL array, dimension (NMAX) */
/* WORK (workspace) COMPLEX array, dimension */
/* (NMAX*max(3,NRHS)) */
/* RWORK (workspace) REAL array, dimension (NMAX+2*NRHS) */
/* NOUT (input) INTEGER */
/* The unit number for output. */
/* ===================================================================== */
/* .. Parameters .. */
/* .. */
/* .. Local Scalars .. */
/* .. */
/* .. Local Arrays .. */
/* .. */
/* .. External Functions .. */
/* .. */
/* .. External Subroutines .. */
/* .. */
/* .. Intrinsic Functions .. */
/* .. */
/* .. Scalars in Common .. */
/* .. */
/* .. Common blocks .. */
/* .. */
/* .. Data statements .. */
/* Parameter adjustments */
--rwork;
--work;
--s;
--xact;
--x;
--bsav;
--b;
--asav;
--afac;
--a;
--nval;
--dotype;
/* Function Body */
/* .. */
/* .. Executable Statements .. */
/* Initialize constants and the random number seed. */
s_copy(path, "Complex precision", (ftnlen)1, (ftnlen)17);
s_copy(path + 1, "PB", (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) {
cerrvx_(path, nout);
}
infoc_1.infot = 0;
kdval[0] = 0;
/* Set the block size and minimum block size for testing. */
nb = 1;
nbmin = 2;
xlaenv_(&c__1, &nb);
xlaenv_(&c__2, &nbmin);
/* 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';
/* Set limits on the number of loop iterations. */
/* Computing MAX */
i__2 = 1, i__3 = min(n,4);
nkd = max(i__2,i__3);
nimat = 8;
if (n == 0) {
nimat = 1;
}
kdval[1] = n + (n + 1) / 4;
kdval[2] = (n * 3 - 1) / 4;
kdval[3] = (n + 1) / 4;
i__2 = nkd;
for (ikd = 1; ikd <= i__2; ++ikd) {
/* Do for KD = 0, (5*N+1)/4, (3N-1)/4, and (N+1)/4. This order */
/* makes it easier to skip redundant values for small values */
/* of N. */
kd = kdval[ikd - 1];
ldab = kd + 1;
/* Do first for UPLO = 'U', then for UPLO = 'L' */
for (iuplo = 1; iuplo <= 2; ++iuplo) {
koff = 1;
if (iuplo == 1) {
*(unsigned char *)uplo = 'U';
*(unsigned char *)packit = 'Q';
/* Computing MAX */
i__3 = 1, i__4 = kd + 2 - n;
koff = max(i__3,i__4);
} else {
*(unsigned char *)uplo = 'L';
*(unsigned char *)packit = 'B';
}
i__3 = nimat;
for (imat = 1; imat <= i__3; ++imat) {
/* Do the tests only if DOTYPE( IMAT ) is true. */
if (! dotype[imat]) {
goto L80;
}
/* Skip types 2, 3, or 4 if the matrix size is too small. */
zerot = imat >= 2 && imat <= 4;
if (zerot && n < imat - 1) {
goto L80;
}
if (! zerot || ! dotype[1]) {
/* Set up parameters with CLATB4 and generate a test */
/* matrix with CLATMS. */
clatb4_(path, &imat, &n, &n, type__, &kl, &ku, &anorm,
&mode, &cndnum, dist);
s_copy(srnamc_1.srnamt, "CLATMS", (ftnlen)6, (ftnlen)
6);
clatms_(&n, &n, dist, iseed, type__, &rwork[1], &mode,
&cndnum, &anorm, &kd, &kd, packit, &a[koff],
&ldab, &work[1], &info);
/* Check error code from CLATMS. */
if (info != 0) {
alaerh_(path, "CLATMS", &info, &c__0, uplo, &n, &
n, &c_n1, &c_n1, &c_n1, &imat, &nfail, &
nerrs, nout);
goto L80;
}
} else if (izero > 0) {
/* Use the same matrix for types 3 and 4 as for type */
/* 2 by copying back the zeroed out column, */
iw = (lda << 1) + 1;
if (iuplo == 1) {
ioff = (izero - 1) * ldab + kd + 1;
i__4 = izero - i1;
ccopy_(&i__4, &work[iw], &c__1, &a[ioff - izero +
i1], &c__1);
iw = iw + izero - i1;
i__4 = i2 - izero + 1;
/* Computing MAX */
i__6 = ldab - 1;
i__5 = max(i__6,1);
ccopy_(&i__4, &work[iw], &c__1, &a[ioff], &i__5);
} else {
ioff = (i1 - 1) * ldab + 1;
i__4 = izero - i1;
/* Computing MAX */
i__6 = ldab - 1;
i__5 = max(i__6,1);
ccopy_(&i__4, &work[iw], &c__1, &a[ioff + izero -
i1], &i__5);
ioff = (izero - 1) * ldab + 1;
iw = iw + izero - i1;
i__4 = i2 - izero + 1;
ccopy_(&i__4, &work[iw], &c__1, &a[ioff], &c__1);
}
}
/* For types 2-4, zero one row and column of the matrix */
/* to test that INFO is returned correctly. */
izero = 0;
if (zerot) {
if (imat == 2) {
izero = 1;
} else if (imat == 3) {
izero = n;
} else {
izero = n / 2 + 1;
}
/* Save the zeroed out row and column in WORK(*,3) */
iw = lda << 1;
/* Computing MIN */
i__5 = (kd << 1) + 1;
i__4 = min(i__5,n);
for (i__ = 1; i__ <= i__4; ++i__) {
i__5 = iw + i__;
work[i__5].r = 0.f, work[i__5].i = 0.f;
/* L20: */
}
++iw;
/* Computing MAX */
i__4 = izero - kd;
i1 = max(i__4,1);
/* Computing MIN */
i__4 = izero + kd;
i2 = min(i__4,n);
if (iuplo == 1) {
ioff = (izero - 1) * ldab + kd + 1;
i__4 = izero - i1;
cswap_(&i__4, &a[ioff - izero + i1], &c__1, &work[
iw], &c__1);
iw = iw + izero - i1;
i__4 = i2 - izero + 1;
/* Computing MAX */
i__6 = ldab - 1;
i__5 = max(i__6,1);
cswap_(&i__4, &a[ioff], &i__5, &work[iw], &c__1);
} else {
ioff = (i1 - 1) * ldab + 1;
i__4 = izero - i1;
/* Computing MAX */
i__6 = ldab - 1;
i__5 = max(i__6,1);
cswap_(&i__4, &a[ioff + izero - i1], &i__5, &work[
iw], &c__1);
ioff = (izero - 1) * ldab + 1;
iw = iw + izero - i1;
i__4 = i2 - izero + 1;
cswap_(&i__4, &a[ioff], &c__1, &work[iw], &c__1);
}
}
/* Set the imaginary part of the diagonals. */
if (iuplo == 1) {
claipd_(&n, &a[kd + 1], &ldab, &c__0);
} else {
claipd_(&n, &a[1], &ldab, &c__0);
}
/* Save a copy of the matrix A in ASAV. */
i__4 = kd + 1;
clacpy_("Full", &i__4, &n, &a[1], &ldab, &asav[1], &ldab);
for (iequed = 1; iequed <= 2; ++iequed) {
*(unsigned char *)equed = *(unsigned char *)&equeds[
iequed - 1];
if (iequed == 1) {
nfact = 3;
} else {
nfact = 1;
}
i__4 = nfact;
for (ifact = 1; ifact <= i__4; ++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 L60;
}
rcondc = 0.f;
} else if (! lsame_(fact, "N")) {
/* Compute the condition number for comparison */
/* with the value returned by CPBSVX (FACT = */
/* 'N' reuses the condition number from the */
/* previous iteration with FACT = 'F'). */
i__5 = kd + 1;
clacpy_("Full", &i__5, &n, &asav[1], &ldab, &
afac[1], &ldab);
if (equil || iequed > 1) {
/* Compute row and column scale factors to */
/* equilibrate the matrix A. */
cpbequ_(uplo, &n, &kd, &afac[1], &ldab, &
s[1], &scond, &amax, &info);
if (info == 0 && n > 0) {
if (iequed > 1) {
scond = 0.f;
}
/* Equilibrate the matrix. */
claqhb_(uplo, &n, &kd, &afac[1], &
ldab, &s[1], &scond, &amax,
equed);
}
}
/* Save the condition number of the */
/* non-equilibrated system for use in CGET04. */
if (equil) {
roldc = rcondc;
}
/* Compute the 1-norm of A. */
anorm = clanhb_("1", uplo, &n, &kd, &afac[1],
&ldab, &rwork[1]);
/* Factor the matrix A. */
cpbtrf_(uplo, &n, &kd, &afac[1], &ldab, &info);
/* Form the inverse of A. */
claset_("Full", &n, &n, &c_b47, &c_b48, &a[1],
&lda);
s_copy(srnamc_1.srnamt, "CPBTRS", (ftnlen)6, (
ftnlen)6);
cpbtrs_(uplo, &n, &kd, &n, &afac[1], &ldab, &
a[1], &lda, &info);
/* Compute the 1-norm condition number of A. */
ainvnm = clange_("1", &n, &n, &a[1], &lda, &
rwork[1]);
if (anorm <= 0.f || ainvnm <= 0.f) {
rcondc = 1.f;
} else {
rcondc = 1.f / anorm / ainvnm;
}
}
/* Restore the matrix A. */
i__5 = kd + 1;
clacpy_("Full", &i__5, &n, &asav[1], &ldab, &a[1],
&ldab);
/* Form an exact solution and set the right hand */
/* side. */
s_copy(srnamc_1.srnamt, "CLARHS", (ftnlen)6, (
ftnlen)6);
clarhs_(path, xtype, uplo, " ", &n, &n, &kd, &kd,
nrhs, &a[1], &ldab, &xact[1], &lda, &b[1],
&lda, iseed, &info);
*(unsigned char *)xtype = 'C';
clacpy_("Full", &n, nrhs, &b[1], &lda, &bsav[1], &
lda);
if (nofact) {
/* --- Test CPBSV --- */
/* Compute the L*L' or U'*U factorization of the */
/* matrix and solve the system. */
i__5 = kd + 1;
clacpy_("Full", &i__5, &n, &a[1], &ldab, &
afac[1], &ldab);
clacpy_("Full", &n, nrhs, &b[1], &lda, &x[1],
&lda);
s_copy(srnamc_1.srnamt, "CPBSV ", (ftnlen)6, (
ftnlen)6);
cpbsv_(uplo, &n, &kd, nrhs, &afac[1], &ldab, &
x[1], &lda, &info);
/* Check error code from CPBSV . */
if (info != izero) {
alaerh_(path, "CPBSV ", &info, &izero,
uplo, &n, &n, &kd, &kd, nrhs, &
imat, &nfail, &nerrs, nout);
goto L40;
} else if (info != 0) {
goto L40;
}
/* Reconstruct matrix from factors and compute */
/* residual. */
cpbt01_(uplo, &n, &kd, &a[1], &ldab, &afac[1],
&ldab, &rwork[1], result);
/* Compute residual of the computed solution. */
clacpy_("Full", &n, nrhs, &b[1], &lda, &work[
1], &lda);
cpbt02_(uplo, &n, &kd, nrhs, &a[1], &ldab, &x[
1], &lda, &work[1], &lda, &rwork[1], &
result[1]);
/* Check solution from generated exact solution. */
cget04_(&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__5 = nt;
for (k = 1; k <= i__5; ++k) {
if (result[k - 1] >= *thresh) {
if (nfail == 0 && nerrs == 0) {
aladhd_(nout, path);
}
io___57.ciunit = *nout;
s_wsfe(&io___57);
do_fio(&c__1, "CPBSV ", (ftnlen)6);
do_fio(&c__1, uplo, (ftnlen)1);
do_fio(&c__1, (char *)&n, (ftnlen)
sizeof(integer));
do_fio(&c__1, (char *)&kd, (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;
}
/* L30: */
}
nrun += nt;
L40:
;
}
/* --- Test CPBSVX --- */
if (! prefac) {
i__5 = kd + 1;
claset_("Full", &i__5, &n, &c_b47, &c_b47, &
afac[1], &ldab);
}
claset_("Full", &n, nrhs, &c_b47, &c_b47, &x[1], &
lda);
if (iequed > 1 && n > 0) {
/* Equilibrate the matrix if FACT='F' and */
/* EQUED='Y' */
claqhb_(uplo, &n, &kd, &a[1], &ldab, &s[1], &
scond, &amax, equed);
}
/* Solve the system and compute the condition */
/* number and error bounds using CPBSVX. */
s_copy(srnamc_1.srnamt, "CPBSVX", (ftnlen)6, (
ftnlen)6);
cpbsvx_(fact, uplo, &n, &kd, nrhs, &a[1], &ldab, &
afac[1], &ldab, 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 CPBSVX. */
if (info != izero) {
/* Writing concatenation */
i__7[0] = 1, a__1[0] = fact;
i__7[1] = 1, a__1[1] = uplo;
s_cat(ch__1, a__1, i__7, &c__2, (ftnlen)2);
alaerh_(path, "CPBSVX", &info, &izero, ch__1,
&n, &n, &kd, &kd, nrhs, &imat, &nfail,
&nerrs, nout);
goto L60;
}
if (info == 0) {
if (! prefac) {
/* Reconstruct matrix from factors and */
/* compute residual. */
cpbt01_(uplo, &n, &kd, &a[1], &ldab, &
afac[1], &ldab, &rwork[(*nrhs <<
1) + 1], result);
k1 = 1;
} else {
k1 = 2;
}
/* Compute residual of the computed solution. */
clacpy_("Full", &n, nrhs, &bsav[1], &lda, &
work[1], &lda);
cpbt02_(uplo, &n, &kd, nrhs, &asav[1], &ldab,
&x[1], &lda, &work[1], &lda, &rwork[(*
nrhs << 1) + 1], &result[1]);
/* Check solution from generated exact solution. */
if (nofact || prefac && lsame_(equed, "N")) {
cget04_(&n, nrhs, &x[1], &lda, &xact[1], &
lda, &rcondc, &result[2]);
} else {
cget04_(&n, nrhs, &x[1], &lda, &xact[1], &
lda, &roldc, &result[2]);
}
/* Check the error bounds from iterative */
/* refinement. */
cpbt05_(uplo, &n, &kd, nrhs, &asav[1], &ldab,
&b[1], &lda, &x[1], &lda, &xact[1], &
lda, &rwork[1], &rwork[*nrhs + 1], &
result[3]);
} else {
k1 = 6;
}
/* Compare RCOND from CPBSVX 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___60.ciunit = *nout;
s_wsfe(&io___60);
do_fio(&c__1, "CPBSVX", (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 *)&kd, (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___61.ciunit = *nout;
s_wsfe(&io___61);
do_fio(&c__1, "CPBSVX", (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 *)&kd, (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;
}
/* L50: */
}
nrun = nrun + 7 - k1;
L60:
;
}
/* L70: */
}
L80:
;
}
/* L90: */
}
/* L100: */
}
/* L110: */
}
/* Print a summary of the results. */
alasvm_(path, nout, &nfail, &nrun, &nerrs);
return 0;
/* End of CDRVPB */
} /* cdrvpb_ */
/* Subroutine */ int cdrvsy_(logical *dotype, integer *nn, integer *nval,
integer *nrhs, real *thresh, logical *tsterr, integer *nmax, complex *
a, complex *afac, complex *ainv, complex *b, complex *x, complex *
xact, complex *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*2] = "F" "N";
/* Format strings */
static char fmt_9999[] = "(1x,a6,\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[] = "(1x,a6,\002, FACT='\002,a1,\002', UPLO='\002,a"
"1,\002', N =\002,i5,\002, type \002,i2,\002, test \002,i2,\002, "
"ratio =\002,g12.5)";
/* System generated locals */
address a__1[2];
integer i__1, i__2, i__3, i__4, i__5, i__6[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, imat, info;
static char path[3], dist[1], uplo[1], type__[1];
static integer nrun, i__, j, k, n, ifact;
extern /* Subroutine */ int cget04_(integer *, integer *, complex *,
integer *, complex *, integer *, real *, real *);
static integer nfail, iseed[4], nbmin;
static real rcond;
static integer nimat;
extern doublereal sget06_(real *, real *);
extern /* Subroutine */ int cpot05_(char *, integer *, integer *, complex
*, integer *, complex *, integer *, complex *, integer *, complex
*, integer *, real *, real *, real *);
static real anorm;
extern /* Subroutine */ int csyt01_(char *, integer *, complex *, integer
*, complex *, integer *, integer *, complex *, integer *, real *,
real *), csyt02_(char *, integer *, integer *, complex *,
integer *, complex *, integer *, complex *, integer *, real *,
real *);
static integer iuplo, izero, i1, i2, k1, lwork, nerrs;
static logical zerot;
extern /* Subroutine */ int csysv_(char *, integer *, integer *, complex *
, integer *, integer *, complex *, integer *, complex *, integer *
, integer *);
static char xtype[1];
extern /* Subroutine */ int clatb4_(char *, integer *, integer *, integer
*, char *, integer *, integer *, real *, integer *, real *, char *
), aladhd_(integer *, char *);
static integer nb, in, kl;
extern /* Subroutine */ int alaerh_(char *, char *, integer *, integer *,
char *, integer *, integer *, integer *, integer *, integer *,
integer *, integer *, integer *, integer *);
static integer ku, nt;
static real rcondc;
extern /* Subroutine */ int clacpy_(char *, integer *, integer *, complex
*, integer *, complex *, integer *), clarhs_(char *, char
*, char *, char *, integer *, integer *, integer *, integer *,
integer *, complex *, integer *, complex *, integer *, complex *,
integer *, integer *, integer *),
claset_(char *, integer *, integer *, complex *, complex *,
complex *, integer *), alasvm_(char *, integer *, integer
*, integer *, integer *);
static real cndnum;
extern /* Subroutine */ int clatms_(integer *, integer *, char *, integer
*, char *, real *, integer *, real *, real *, integer *, integer *
, char *, complex *, integer *, complex *, integer *);
static real ainvnm;
extern doublereal clansy_(char *, char *, integer *, complex *, integer *,
real *);
extern /* Subroutine */ int xlaenv_(integer *, integer *), clatsy_(char *,
integer *, complex *, integer *, integer *), cerrvx_(
char *, integer *), csytrf_(char *, integer *, complex *,
integer *, integer *, complex *, integer *, integer *),
csytri_(char *, integer *, complex *, integer *, integer *,
complex *, integer *);
static real result[6];
extern /* Subroutine */ int csysvx_(char *, char *, integer *, integer *,
complex *, integer *, complex *, integer *, integer *, complex *,
integer *, complex *, integer *, real *, real *, real *, complex *
, integer *, real *, integer *);
static integer lda;
/* Fortran I/O blocks */
static cilist io___42 = { 0, 0, 0, fmt_9999, 0 };
static cilist io___45 = { 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
=======
CDRVSY tests the driver routines CSYSV 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) COMPLEX array, dimension (NMAX*NMAX)
AFAC (workspace) COMPLEX array, dimension (NMAX*NMAX)
AINV (workspace) COMPLEX array, dimension (NMAX*NMAX)
B (workspace) COMPLEX array, dimension (NMAX*NRHS)
X (workspace) COMPLEX array, dimension (NMAX*NRHS)
XACT (workspace) COMPLEX array, dimension (NMAX*NRHS)
WORK (workspace) COMPLEX array, dimension
(NMAX*max(2,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;
--xact;
--x;
--b;
--ainv;
--afac;
--a;
--nval;
--dotype;
/* Function Body
Initialize constants and the random number seed. */
s_copy(path, "Complex precision", (ftnlen)1, (ftnlen)17);
s_copy(path + 1, "SY", (ftnlen)2, (ftnlen)2);
nrun = 0;
nfail = 0;
nerrs = 0;
for (i__ = 1; i__ <= 4; ++i__) {
iseed[i__ - 1] = iseedy[i__ - 1];
/* L10: */
}
/* Computing MAX */
i__1 = *nmax << 1, i__2 = *nmax * *nrhs;
lwork = max(i__1,i__2);
/* Test the error exits */
if (*tsterr) {
cerrvx_(path, nout);
}
infoc_1.infot = 0;
/* Set the block size and minimum block size for testing. */
nb = 1;
nbmin = 2;
xlaenv_(&c__1, &nb);
xlaenv_(&c__2, &nbmin);
/* 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 = 11;
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 L170;
}
/* Skip types 3, 4, 5, or 6 if the matrix size is too small. */
zerot = imat >= 3 && imat <= 6;
if (zerot && n < imat - 2) {
goto L170;
}
/* Do first for UPLO = 'U', then for UPLO = 'L' */
for (iuplo = 1; iuplo <= 2; ++iuplo) {
*(unsigned char *)uplo = *(unsigned char *)&uplos[iuplo - 1];
if (imat != 11) {
/* Set up parameters with CLATB4 and generate a test
matrix with CLATMS. */
clatb4_(path, &imat, &n, &n, type__, &kl, &ku, &anorm, &
mode, &cndnum, dist);
s_copy(srnamc_1.srnamt, "CLATMS", (ftnlen)6, (ftnlen)6);
clatms_(&n, &n, dist, iseed, type__, &rwork[1], &mode, &
cndnum, &anorm, &kl, &ku, uplo, &a[1], &lda, &
work[1], &info);
/* Check error code from CLATMS. */
if (info != 0) {
alaerh_(path, "CLATMS", &info, &c__0, uplo, &n, &n, &
c_n1, &c_n1, &c_n1, &imat, &nfail, &nerrs,
nout);
goto L160;
}
/* For types 3-6, zero one or more rows and columns 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;
}
if (imat < 6) {
/* Set row and column IZERO to zero. */
if (iuplo == 1) {
ioff = (izero - 1) * lda;
i__3 = izero - 1;
for (i__ = 1; i__ <= i__3; ++i__) {
i__4 = ioff + i__;
a[i__4].r = 0.f, a[i__4].i = 0.f;
/* L20: */
}
ioff += izero;
i__3 = n;
for (i__ = izero; i__ <= i__3; ++i__) {
i__4 = ioff;
a[i__4].r = 0.f, a[i__4].i = 0.f;
ioff += lda;
/* L30: */
}
} else {
ioff = izero;
i__3 = izero - 1;
for (i__ = 1; i__ <= i__3; ++i__) {
i__4 = ioff;
a[i__4].r = 0.f, a[i__4].i = 0.f;
ioff += lda;
/* L40: */
}
ioff -= izero;
i__3 = n;
for (i__ = izero; i__ <= i__3; ++i__) {
i__4 = ioff + i__;
a[i__4].r = 0.f, a[i__4].i = 0.f;
/* L50: */
}
}
} else {
if (iuplo == 1) {
/* Set the first IZERO rows to zero. */
ioff = 0;
i__3 = n;
for (j = 1; j <= i__3; ++j) {
i2 = min(j,izero);
i__4 = i2;
for (i__ = 1; i__ <= i__4; ++i__) {
i__5 = ioff + i__;
a[i__5].r = 0.f, a[i__5].i = 0.f;
/* L60: */
}
ioff += lda;
/* L70: */
}
} else {
/* Set the last IZERO rows to zero. */
ioff = 0;
i__3 = n;
for (j = 1; j <= i__3; ++j) {
i1 = max(j,izero);
i__4 = n;
for (i__ = i1; i__ <= i__4; ++i__) {
i__5 = ioff + i__;
a[i__5].r = 0.f, a[i__5].i = 0.f;
/* L80: */
}
ioff += lda;
/* L90: */
}
}
}
} else {
izero = 0;
}
} else {
/* IMAT = NTYPES: Use a special block diagonal matrix to
test alternate code for the 2-by-2 blocks. */
clatsy_(uplo, &n, &a[1], &lda, iseed);
}
for (ifact = 1; ifact <= 2; ++ifact) {
/* Do first for FACT = 'F', then for other values. */
*(unsigned char *)fact = *(unsigned char *)&facts[ifact -
1];
/* Compute the condition number for comparison with
the value returned by CSYSVX. */
if (zerot) {
if (ifact == 1) {
goto L150;
}
rcondc = 0.f;
} else if (ifact == 1) {
/* Compute the 1-norm of A. */
anorm = clansy_("1", uplo, &n, &a[1], &lda, &rwork[1]);
/* Factor the matrix A. */
clacpy_(uplo, &n, &n, &a[1], &lda, &afac[1], &lda);
csytrf_(uplo, &n, &afac[1], &lda, &iwork[1], &work[1],
&lwork, &info);
/* Compute inv(A) and take its norm. */
clacpy_(uplo, &n, &n, &afac[1], &lda, &ainv[1], &lda);
csytri_(uplo, &n, &ainv[1], &lda, &iwork[1], &work[1],
&info);
ainvnm = clansy_("1", uplo, &n, &ainv[1], &lda, &
rwork[1]);
/* Compute the 1-norm condition number of A. */
if (anorm <= 0.f || ainvnm <= 0.f) {
rcondc = 1.f;
} else {
rcondc = 1.f / anorm / ainvnm;
}
}
/* Form an exact solution and set the right hand side. */
s_copy(srnamc_1.srnamt, "CLARHS", (ftnlen)6, (ftnlen)6);
clarhs_(path, xtype, uplo, " ", &n, &n, &kl, &ku, nrhs, &
a[1], &lda, &xact[1], &lda, &b[1], &lda, iseed, &
info);
*(unsigned char *)xtype = 'C';
/* --- Test CSYSV --- */
if (ifact == 2) {
clacpy_(uplo, &n, &n, &a[1], &lda, &afac[1], &lda);
clacpy_("Full", &n, nrhs, &b[1], &lda, &x[1], &lda);
/* Factor the matrix and solve the system using CSYSV. */
s_copy(srnamc_1.srnamt, "CSYSV ", (ftnlen)6, (ftnlen)
6);
csysv_(uplo, &n, nrhs, &afac[1], &lda, &iwork[1], &x[
1], &lda, &work[1], &lwork, &info);
/* Adjust the expected value of INFO to account for
pivoting. */
k = izero;
if (k > 0) {
L100:
if (iwork[k] < 0) {
if (iwork[k] != -k) {
k = -iwork[k];
goto L100;
}
} else if (iwork[k] != k) {
k = iwork[k];
goto L100;
}
}
/* Check error code from CSYSV . */
if (info != k) {
alaerh_(path, "CSYSV ", &info, &k, uplo, &n, &n, &
c_n1, &c_n1, nrhs, &imat, &nfail, &nerrs,
nout);
goto L120;
} else if (info != 0) {
goto L120;
}
/* Reconstruct matrix from factors and compute
residual. */
csyt01_(uplo, &n, &a[1], &lda, &afac[1], &lda, &iwork[
1], &ainv[1], &lda, &rwork[1], result);
/* Compute residual of the computed solution. */
clacpy_("Full", &n, nrhs, &b[1], &lda, &work[1], &lda);
csyt02_(uplo, &n, nrhs, &a[1], &lda, &x[1], &lda, &
work[1], &lda, &rwork[1], &result[1]);
/* Check solution from generated exact solution. */
cget04_(&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___42.ciunit = *nout;
s_wsfe(&io___42);
do_fio(&c__1, "CSYSV ", (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;
}
/* L110: */
}
nrun += nt;
L120:
;
}
/* --- Test CSYSVX --- */
if (ifact == 2) {
claset_(uplo, &n, &n, &c_b49, &c_b49, &afac[1], &lda);
}
claset_("Full", &n, nrhs, &c_b49, &c_b49, &x[1], &lda);
/* Solve the system and compute the condition number and
error bounds using CSYSVX. */
s_copy(srnamc_1.srnamt, "CSYSVX", (ftnlen)6, (ftnlen)6);
csysvx_(fact, uplo, &n, nrhs, &a[1], &lda, &afac[1], &lda,
&iwork[1], &b[1], &lda, &x[1], &lda, &rcond, &
rwork[1], &rwork[*nrhs + 1], &work[1], &lwork, &
rwork[(*nrhs << 1) + 1], &info);
/* Adjust the expected value of INFO to account for
pivoting. */
k = izero;
if (k > 0) {
L130:
if (iwork[k] < 0) {
if (iwork[k] != -k) {
k = -iwork[k];
goto L130;
}
} else if (iwork[k] != k) {
k = iwork[k];
goto L130;
}
}
/* Check the error code from CSYSVX. */
if (info != k) {
/* Writing concatenation */
i__6[0] = 1, a__1[0] = fact;
i__6[1] = 1, a__1[1] = uplo;
s_cat(ch__1, a__1, i__6, &c__2, (ftnlen)2);
alaerh_(path, "CSYSVX", &info, &k, ch__1, &n, &n, &
c_n1, &c_n1, nrhs, &imat, &nfail, &nerrs,
nout);
goto L150;
}
if (info == 0) {
if (ifact >= 2) {
/* Reconstruct matrix from factors and compute
residual. */
csyt01_(uplo, &n, &a[1], &lda, &afac[1], &lda, &
iwork[1], &ainv[1], &lda, &rwork[(*nrhs <<
1) + 1], result);
k1 = 1;
} else {
k1 = 2;
}
/* Compute residual of the computed solution. */
clacpy_("Full", &n, nrhs, &b[1], &lda, &work[1], &lda);
csyt02_(uplo, &n, nrhs, &a[1], &lda, &x[1], &lda, &
work[1], &lda, &rwork[(*nrhs << 1) + 1], &
result[1]);
/* Check solution from generated exact solution. */
cget04_(&n, nrhs, &x[1], &lda, &xact[1], &lda, &
rcondc, &result[2]);
/* Check the error bounds from iterative refinement. */
cpot05_(uplo, &n, nrhs, &a[1], &lda, &b[1], &lda, &x[
1], &lda, &xact[1], &lda, &rwork[1], &rwork[*
nrhs + 1], &result[3]);
} else {
k1 = 6;
}
/* Compare RCOND from CSYSVX 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);
}
io___45.ciunit = *nout;
s_wsfe(&io___45);
do_fio(&c__1, "CSYSVX", (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;
}
/* L140: */
}
nrun = nrun + 7 - k1;
L150:
;
}
L160:
;
}
L170:
;
}
/* L180: */
}
/* Print a summary of the results. */
alasvm_(path, nout, &nfail, &nrun, &nerrs);
return 0;
/* End of CDRVSY */
} /* cdrvsy_ */
/* Subroutine */ int zdrvls_(logical *dotype, integer *nm, integer *mval,
integer *nn, integer *nval, integer *nns, integer *nsval, integer *
nnb, integer *nbval, integer *nxval, doublereal *thresh, logical *
tsterr, doublecomplex *a, doublecomplex *copya, doublecomplex *b,
doublecomplex *copyb, doublecomplex *c__, doublereal *s, doublereal *
copys, doublecomplex *work, doublereal *rwork, integer *iwork,
integer *nout)
{
/* Initialized data */
static integer iseedy[4] = { 1988,1989,1990,1991 };
/* Format strings */
static char fmt_9999[] = "(\002 TRANS='\002,a1,\002', M=\002,i5,\002, N"
"=\002,i5,\002, NRHS=\002,i4,\002, NB=\002,i4,\002, type\002,i2"
",\002, test(\002,i2,\002)=\002,g12.5)";
static char fmt_9998[] = "(\002 M=\002,i5,\002, N=\002,i5,\002, NRHS="
"\002,i4,\002, NB=\002,i4,\002, type\002,i2,\002, test(\002,i2"
",\002)=\002,g12.5)";
/* System generated locals */
integer i__1, i__2, i__3, i__4, i__5, i__6;
doublereal d__1;
/* Builtin functions */
/* Subroutine */ int s_copy(char *, char *, ftnlen, ftnlen);
double sqrt(doublereal);
integer s_wsfe(cilist *), do_fio(integer *, char *, ftnlen), e_wsfe(void);
/* Local variables */
integer i__, j, k, m, n, nb, im, in, lda, ldb, inb;
doublereal eps;
integer ins, info;
char path[3];
integer rank, nrhs, nrun;
extern /* Subroutine */ int alahd_(integer *, char *);
integer nfail, iseed[4], crank, irank;
doublereal rcond;
extern doublereal dasum_(integer *, doublereal *, integer *);
integer itran, mnmin, ncols;
doublereal norma, normb;
extern /* Subroutine */ int zgels_(char *, integer *, integer *, integer *
, doublecomplex *, integer *, doublecomplex *, integer *,
doublecomplex *, integer *, integer *), daxpy_(integer *,
doublereal *, doublereal *, integer *, doublereal *, integer *),
zgemm_(char *, char *, integer *, integer *, integer *,
doublecomplex *, doublecomplex *, integer *, doublecomplex *,
integer *, doublecomplex *, doublecomplex *, integer *);
char trans[1];
integer nerrs, itype, lwork;
extern doublereal zqrt12_(integer *, integer *, doublecomplex *, integer *
, doublereal *, doublecomplex *, integer *, doublereal *),
zqrt14_(char *, integer *, integer *, integer *, doublecomplex *,
integer *, doublecomplex *, integer *, doublecomplex *, integer *);
extern /* Subroutine */ int zqrt13_(integer *, integer *, integer *,
doublecomplex *, integer *, doublereal *, integer *), zqrt15_(
integer *, integer *, integer *, integer *, integer *,
doublecomplex *, integer *, doublecomplex *, integer *,
doublereal *, integer *, doublereal *, doublereal *, integer *,
doublecomplex *, integer *);
integer nrows;
extern doublereal zqrt17_(char *, integer *, integer *, integer *,
integer *, doublecomplex *, integer *, doublecomplex *, integer *,
doublecomplex *, integer *, doublecomplex *, doublecomplex *,
integer *);
integer lwlsy;
extern /* Subroutine */ int zqrt16_(char *, integer *, integer *, integer
*, doublecomplex *, integer *, doublecomplex *, integer *,
doublecomplex *, integer *, doublereal *, doublereal *);
extern doublereal dlamch_(char *);
extern /* Subroutine */ int alaerh_(char *, char *, integer *, integer *,
char *, integer *, integer *, integer *, integer *, integer *,
integer *, integer *, integer *, integer *);
integer iscale;
extern /* Subroutine */ int zdscal_(integer *, doublereal *,
doublecomplex *, integer *), alasvm_(char *, integer *, integer *,
integer *, integer *), zgelsd_(integer *, integer *,
integer *, doublecomplex *, integer *, doublecomplex *, integer *,
doublereal *, doublereal *, integer *, doublecomplex *, integer *
, doublereal *, integer *, integer *), xlaenv_(integer *, integer
*);
integer ldwork;
extern /* Subroutine */ int zlacpy_(char *, integer *, integer *,
doublecomplex *, integer *, doublecomplex *, integer *),
zgelss_(integer *, integer *, integer *, doublecomplex *, integer
*, doublecomplex *, integer *, doublereal *, doublereal *,
integer *, doublecomplex *, integer *, doublereal *, integer *),
zgelsx_(integer *, integer *, integer *, doublecomplex *, integer
*, doublecomplex *, integer *, integer *, doublereal *, integer *,
doublecomplex *, doublereal *, integer *), zgelsy_(integer *,
integer *, integer *, doublecomplex *, integer *, doublecomplex *,
integer *, integer *, doublereal *, integer *, doublecomplex *,
integer *, doublereal *, integer *);
doublereal result[18];
extern /* Subroutine */ int zlarnv_(integer *, integer *, integer *,
doublecomplex *), zerrls_(char *, integer *);
/* Fortran I/O blocks */
static cilist io___34 = { 0, 0, 0, fmt_9999, 0 };
static cilist io___39 = { 0, 0, 0, fmt_9998, 0 };
static cilist io___41 = { 0, 0, 0, fmt_9998, 0 };
/* -- LAPACK test routine (version 3.1.1) -- */
/* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */
/* January 2007 */
/* .. Scalar Arguments .. */
/* .. */
/* .. Array Arguments .. */
/* .. */
/* Purpose */
/* ======= */
/* ZDRVLS tests the least squares driver routines ZGELS, CGELSX, CGELSS, */
/* ZGELSY and CGELSD. */
/* 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. */
/* The matrix of type j is generated as follows: */
/* j=1: A = U*D*V where U and V are random unitary matrices */
/* and D has random entries (> 0.1) taken from a uniform */
/* distribution (0,1). A is full rank. */
/* j=2: The same of 1, but A is scaled up. */
/* j=3: The same of 1, but A is scaled down. */
/* j=4: A = U*D*V where U and V are random unitary matrices */
/* and D has 3*min(M,N)/4 random entries (> 0.1) taken */
/* from a uniform distribution (0,1) and the remaining */
/* entries set to 0. A is rank-deficient. */
/* j=5: The same of 4, but A is scaled up. */
/* j=6: The same of 5, but A is scaled down. */
/* NM (input) INTEGER */
/* The number of values of M contained in the vector MVAL. */
/* MVAL (input) INTEGER array, dimension (NM) */
/* The values of the matrix row dimension M. */
/* 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 column dimension N. */
/* NNB (input) INTEGER */
/* The number of values of NB and NX contained in the */
/* vectors NBVAL and NXVAL. The blocking parameters are used */
/* in pairs (NB,NX). */
/* NBVAL (input) INTEGER array, dimension (NNB) */
/* The values of the blocksize NB. */
/* NXVAL (input) INTEGER array, dimension (NNB) */
/* The values of the crossover point NX. */
/* 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. */
/* A (workspace) COMPLEX*16 array, dimension (MMAX*NMAX) */
/* where MMAX is the maximum value of M in MVAL and NMAX is the */
/* maximum value of N in NVAL. */
/* COPYA (workspace) COMPLEX*16 array, dimension (MMAX*NMAX) */
/* B (workspace) COMPLEX*16 array, dimension (MMAX*NSMAX) */
/* where MMAX is the maximum value of M in MVAL and NSMAX is the */
/* maximum value of NRHS in NSVAL. */
/* COPYB (workspace) COMPLEX*16 array, dimension (MMAX*NSMAX) */
/* C (workspace) COMPLEX*16 array, dimension (MMAX*NSMAX) */
/* S (workspace) DOUBLE PRECISION array, dimension */
/* (min(MMAX,NMAX)) */
/* COPYS (workspace) DOUBLE PRECISION array, dimension */
/* (min(MMAX,NMAX)) */
/* WORK (workspace) COMPLEX*16 array, dimension */
/* (MMAX*NMAX + 4*NMAX + MMAX). */
/* RWORK (workspace) DOUBLE PRECISION array, dimension (5*NMAX-1) */
/* IWORK (workspace) INTEGER array, dimension (15*NMAX) */
/* NOUT (input) INTEGER */
/* The unit number for output. */
/* ===================================================================== */
/* .. Parameters .. */
/* .. */
/* .. Local Scalars .. */
/* .. */
/* .. Local Arrays .. */
/* .. */
/* .. External Functions .. */
/* .. */
/* .. External Subroutines .. */
/* .. */
/* .. Intrinsic Functions .. */
/* .. */
/* .. Scalars in Common .. */
/* .. */
/* .. Common blocks .. */
/* .. */
/* .. Data statements .. */
/* Parameter adjustments */
--iwork;
--rwork;
--work;
--copys;
--s;
--c__;
--copyb;
--b;
--copya;
--a;
--nxval;
--nbval;
--nsval;
--nval;
--mval;
--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, "LS", (ftnlen)2, (ftnlen)2);
nrun = 0;
nfail = 0;
nerrs = 0;
for (i__ = 1; i__ <= 4; ++i__) {
iseed[i__ - 1] = iseedy[i__ - 1];
/* L10: */
}
eps = dlamch_("Epsilon");
/* Threshold for rank estimation */
rcond = sqrt(eps) - (sqrt(eps) - eps) / 2;
/* Test the error exits */
xlaenv_(&c__9, &c__25);
if (*tsterr) {
zerrls_(path, nout);
}
/* Print the header if NM = 0 or NN = 0 and THRESH = 0. */
if ((*nm == 0 || *nn == 0) && *thresh == 0.) {
alahd_(nout, path);
}
infoc_1.infot = 0;
i__1 = *nm;
for (im = 1; im <= i__1; ++im) {
m = mval[im];
lda = max(1,m);
i__2 = *nn;
for (in = 1; in <= i__2; ++in) {
n = nval[in];
mnmin = min(m,n);
/* Computing MAX */
i__3 = max(1,m);
ldb = max(i__3,n);
i__3 = *nns;
for (ins = 1; ins <= i__3; ++ins) {
nrhs = nsval[ins];
/* Computing MAX */
i__4 = 1, i__5 = (m + nrhs) * (n + 2), i__4 = max(i__4,i__5),
i__5 = (n + nrhs) * (m + 2), i__4 = max(i__4,i__5),
i__5 = m * n + (mnmin << 2) + max(m,n), i__4 = max(
i__4,i__5), i__5 = (n << 1) + m;
lwork = max(i__4,i__5);
for (irank = 1; irank <= 2; ++irank) {
for (iscale = 1; iscale <= 3; ++iscale) {
itype = (irank - 1) * 3 + iscale;
if (! dotype[itype]) {
goto L100;
}
if (irank == 1) {
/* Test ZGELS */
/* Generate a matrix of scaling type ISCALE */
zqrt13_(&iscale, &m, &n, ©a[1], &lda, &norma,
iseed);
i__4 = *nnb;
for (inb = 1; inb <= i__4; ++inb) {
nb = nbval[inb];
xlaenv_(&c__1, &nb);
xlaenv_(&c__3, &nxval[inb]);
for (itran = 1; itran <= 2; ++itran) {
if (itran == 1) {
*(unsigned char *)trans = 'N';
nrows = m;
ncols = n;
} else {
*(unsigned char *)trans = 'C';
nrows = n;
ncols = m;
}
ldwork = max(1,ncols);
/* Set up a consistent rhs */
if (ncols > 0) {
i__5 = ncols * nrhs;
zlarnv_(&c__2, iseed, &i__5, &work[1])
;
i__5 = ncols * nrhs;
d__1 = 1. / (doublereal) ncols;
zdscal_(&i__5, &d__1, &work[1], &c__1)
;
}
zgemm_(trans, "No transpose", &nrows, &
nrhs, &ncols, &c_b1, ©a[1], &
lda, &work[1], &ldwork, &c_b2, &b[
1], &ldb);
zlacpy_("Full", &nrows, &nrhs, &b[1], &
ldb, ©b[1], &ldb);
/* Solve LS or overdetermined system */
if (m > 0 && n > 0) {
zlacpy_("Full", &m, &n, ©a[1], &
lda, &a[1], &lda);
zlacpy_("Full", &nrows, &nrhs, ©b[
1], &ldb, &b[1], &ldb);
}
s_copy(srnamc_1.srnamt, "ZGELS ", (ftnlen)
6, (ftnlen)6);
zgels_(trans, &m, &n, &nrhs, &a[1], &lda,
&b[1], &ldb, &work[1], &lwork, &
info);
if (info != 0) {
alaerh_(path, "ZGELS ", &info, &c__0,
trans, &m, &n, &nrhs, &c_n1, &
nb, &itype, &nfail, &nerrs,
nout);
}
/* Check correctness of results */
ldwork = max(1,nrows);
if (nrows > 0 && nrhs > 0) {
zlacpy_("Full", &nrows, &nrhs, ©b[
1], &ldb, &c__[1], &ldb);
}
zqrt16_(trans, &m, &n, &nrhs, ©a[1], &
lda, &b[1], &ldb, &c__[1], &ldb, &
rwork[1], result);
if (itran == 1 && m >= n || itran == 2 &&
m < n) {
/* Solving LS system */
result[1] = zqrt17_(trans, &c__1, &m,
&n, &nrhs, ©a[1], &lda, &
b[1], &ldb, ©b[1], &ldb, &
c__[1], &work[1], &lwork);
} else {
/* Solving overdetermined system */
result[1] = zqrt14_(trans, &m, &n, &
nrhs, ©a[1], &lda, &b[1],
&ldb, &work[1], &lwork);
}
/* 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, trans, (ftnlen)1);
do_fio(&c__1, (char *)&m, (ftnlen)
sizeof(integer));
do_fio(&c__1, (char *)&n, (ftnlen)
sizeof(integer));
do_fio(&c__1, (char *)&nrhs, (
ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&nb, (
ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&itype, (
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;
}
/* L20: */
}
nrun += 2;
/* L30: */
}
/* L40: */
}
}
/* Generate a matrix of scaling type ISCALE and rank */
/* type IRANK. */
zqrt15_(&iscale, &irank, &m, &n, &nrhs, ©a[1], &
lda, ©b[1], &ldb, ©s[1], &rank, &
norma, &normb, iseed, &work[1], &lwork);
/* workspace used: MAX(M+MIN(M,N),NRHS*MIN(M,N),2*N+M) */
i__4 = n;
for (j = 1; j <= i__4; ++j) {
iwork[j] = 0;
/* L50: */
}
ldwork = max(1,m);
/* Test ZGELSX */
/* ZGELSX: Compute the minimum-norm solution X */
/* to min( norm( A * X - B ) ) */
/* using a complete orthogonal factorization. */
zlacpy_("Full", &m, &n, ©a[1], &lda, &a[1], &lda);
zlacpy_("Full", &m, &nrhs, ©b[1], &ldb, &b[1], &
ldb);
s_copy(srnamc_1.srnamt, "ZGELSX", (ftnlen)6, (ftnlen)
6);
zgelsx_(&m, &n, &nrhs, &a[1], &lda, &b[1], &ldb, &
iwork[1], &rcond, &crank, &work[1], &rwork[1],
&info);
if (info != 0) {
alaerh_(path, "ZGELSX", &info, &c__0, " ", &m, &n,
&nrhs, &c_n1, &nb, &itype, &nfail, &
nerrs, nout);
}
/* workspace used: MAX( MNMIN+3*N, 2*MNMIN+NRHS ) */
/* Test 3: Compute relative error in svd */
/* workspace: M*N + 4*MIN(M,N) + MAX(M,N) */
result[2] = zqrt12_(&crank, &crank, &a[1], &lda, &
copys[1], &work[1], &lwork, &rwork[1]);
/* Test 4: Compute error in solution */
/* workspace: M*NRHS + M */
zlacpy_("Full", &m, &nrhs, ©b[1], &ldb, &work[1],
&ldwork);
zqrt16_("No transpose", &m, &n, &nrhs, ©a[1], &
lda, &b[1], &ldb, &work[1], &ldwork, &rwork[1]
, &result[3]);
/* Test 5: Check norm of r'*A */
/* workspace: NRHS*(M+N) */
result[4] = 0.;
if (m > crank) {
result[4] = zqrt17_("No transpose", &c__1, &m, &n,
&nrhs, ©a[1], &lda, &b[1], &ldb, &
copyb[1], &ldb, &c__[1], &work[1], &lwork);
}
/* Test 6: Check if x is in the rowspace of A */
/* workspace: (M+NRHS)*(N+2) */
result[5] = 0.;
if (n > crank) {
result[5] = zqrt14_("No transpose", &m, &n, &nrhs,
©a[1], &lda, &b[1], &ldb, &work[1], &
lwork);
}
/* Print information about the tests that did not */
/* pass the threshold. */
for (k = 3; k <= 6; ++k) {
if (result[k - 1] >= *thresh) {
if (nfail == 0 && nerrs == 0) {
alahd_(nout, path);
}
io___39.ciunit = *nout;
s_wsfe(&io___39);
do_fio(&c__1, (char *)&m, (ftnlen)sizeof(
integer));
do_fio(&c__1, (char *)&n, (ftnlen)sizeof(
integer));
do_fio(&c__1, (char *)&nrhs, (ftnlen)sizeof(
integer));
do_fio(&c__1, (char *)&c__0, (ftnlen)sizeof(
integer));
do_fio(&c__1, (char *)&itype, (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 += 4;
/* Loop for testing different block sizes. */
i__4 = *nnb;
for (inb = 1; inb <= i__4; ++inb) {
nb = nbval[inb];
xlaenv_(&c__1, &nb);
xlaenv_(&c__3, &nxval[inb]);
/* Test ZGELSY */
/* ZGELSY: Compute the minimum-norm solution */
/* X to min( norm( A * X - B ) ) */
/* using the rank-revealing orthogonal */
/* factorization. */
zlacpy_("Full", &m, &n, ©a[1], &lda, &a[1], &
lda);
zlacpy_("Full", &m, &nrhs, ©b[1], &ldb, &b[1],
&ldb);
/* Initialize vector IWORK. */
i__5 = n;
for (j = 1; j <= i__5; ++j) {
iwork[j] = 0;
/* L70: */
}
/* Set LWLSY to the adequate value. */
/* Computing MAX */
i__5 = mnmin << 1, i__6 = nb * (n + 1), i__5 =
max(i__5,i__6), i__6 = mnmin + nb * nrhs;
lwlsy = mnmin + max(i__5,i__6);
lwlsy = max(1,lwlsy);
s_copy(srnamc_1.srnamt, "ZGELSY", (ftnlen)6, (
ftnlen)6);
zgelsy_(&m, &n, &nrhs, &a[1], &lda, &b[1], &ldb, &
iwork[1], &rcond, &crank, &work[1], &
lwlsy, &rwork[1], &info);
if (info != 0) {
alaerh_(path, "ZGELSY", &info, &c__0, " ", &m,
&n, &nrhs, &c_n1, &nb, &itype, &
nfail, &nerrs, nout);
}
/* workspace used: 2*MNMIN+NB*NB+NB*MAX(N,NRHS) */
/* Test 7: Compute relative error in svd */
/* workspace: M*N + 4*MIN(M,N) + MAX(M,N) */
result[6] = zqrt12_(&crank, &crank, &a[1], &lda, &
copys[1], &work[1], &lwork, &rwork[1]);
/* Test 8: Compute error in solution */
/* workspace: M*NRHS + M */
zlacpy_("Full", &m, &nrhs, ©b[1], &ldb, &work[
1], &ldwork);
zqrt16_("No transpose", &m, &n, &nrhs, ©a[1],
&lda, &b[1], &ldb, &work[1], &ldwork, &
rwork[1], &result[7]);
/* Test 9: Check norm of r'*A */
/* workspace: NRHS*(M+N) */
result[8] = 0.;
if (m > crank) {
result[8] = zqrt17_("No transpose", &c__1, &m,
&n, &nrhs, ©a[1], &lda, &b[1], &
ldb, ©b[1], &ldb, &c__[1], &work[
1], &lwork);
}
/* Test 10: Check if x is in the rowspace of A */
/* workspace: (M+NRHS)*(N+2) */
result[9] = 0.;
if (n > crank) {
result[9] = zqrt14_("No transpose", &m, &n, &
nrhs, ©a[1], &lda, &b[1], &ldb, &
work[1], &lwork);
}
/* Test ZGELSS */
/* ZGELSS: Compute the minimum-norm solution */
/* X to min( norm( A * X - B ) ) */
/* using the SVD. */
zlacpy_("Full", &m, &n, ©a[1], &lda, &a[1], &
lda);
zlacpy_("Full", &m, &nrhs, ©b[1], &ldb, &b[1],
&ldb);
s_copy(srnamc_1.srnamt, "ZGELSS", (ftnlen)6, (
ftnlen)6);
zgelss_(&m, &n, &nrhs, &a[1], &lda, &b[1], &ldb, &
s[1], &rcond, &crank, &work[1], &lwork, &
rwork[1], &info);
if (info != 0) {
alaerh_(path, "ZGELSS", &info, &c__0, " ", &m,
&n, &nrhs, &c_n1, &nb, &itype, &
nfail, &nerrs, nout);
}
/* workspace used: 3*min(m,n) + */
/* max(2*min(m,n),nrhs,max(m,n)) */
/* Test 11: Compute relative error in svd */
if (rank > 0) {
daxpy_(&mnmin, &c_b91, ©s[1], &c__1, &s[1]
, &c__1);
result[10] = dasum_(&mnmin, &s[1], &c__1) /
dasum_(&mnmin, ©s[1], &c__1) / (
eps * (doublereal) mnmin);
} else {
result[10] = 0.;
}
/* Test 12: Compute error in solution */
zlacpy_("Full", &m, &nrhs, ©b[1], &ldb, &work[
1], &ldwork);
zqrt16_("No transpose", &m, &n, &nrhs, ©a[1],
&lda, &b[1], &ldb, &work[1], &ldwork, &
rwork[1], &result[11]);
/* Test 13: Check norm of r'*A */
result[12] = 0.;
if (m > crank) {
result[12] = zqrt17_("No transpose", &c__1, &
m, &n, &nrhs, ©a[1], &lda, &b[1],
&ldb, ©b[1], &ldb, &c__[1], &work[
1], &lwork);
}
/* Test 14: Check if x is in the rowspace of A */
result[13] = 0.;
if (n > crank) {
result[13] = zqrt14_("No transpose", &m, &n, &
nrhs, ©a[1], &lda, &b[1], &ldb, &
work[1], &lwork);
}
/* Test ZGELSD */
/* ZGELSD: Compute the minimum-norm solution X */
/* to min( norm( A * X - B ) ) using a */
/* divide and conquer SVD. */
xlaenv_(&c__9, &c__25);
zlacpy_("Full", &m, &n, ©a[1], &lda, &a[1], &
lda);
zlacpy_("Full", &m, &nrhs, ©b[1], &ldb, &b[1],
&ldb);
s_copy(srnamc_1.srnamt, "ZGELSD", (ftnlen)6, (
ftnlen)6);
zgelsd_(&m, &n, &nrhs, &a[1], &lda, &b[1], &ldb, &
s[1], &rcond, &crank, &work[1], &lwork, &
rwork[1], &iwork[1], &info);
if (info != 0) {
alaerh_(path, "ZGELSD", &info, &c__0, " ", &m,
&n, &nrhs, &c_n1, &nb, &itype, &
nfail, &nerrs, nout);
}
/* Test 15: Compute relative error in svd */
if (rank > 0) {
daxpy_(&mnmin, &c_b91, ©s[1], &c__1, &s[1]
, &c__1);
result[14] = dasum_(&mnmin, &s[1], &c__1) /
dasum_(&mnmin, ©s[1], &c__1) / (
eps * (doublereal) mnmin);
} else {
result[14] = 0.;
}
/* Test 16: Compute error in solution */
zlacpy_("Full", &m, &nrhs, ©b[1], &ldb, &work[
1], &ldwork);
zqrt16_("No transpose", &m, &n, &nrhs, ©a[1],
&lda, &b[1], &ldb, &work[1], &ldwork, &
rwork[1], &result[15]);
/* Test 17: Check norm of r'*A */
result[16] = 0.;
if (m > crank) {
result[16] = zqrt17_("No transpose", &c__1, &
m, &n, &nrhs, ©a[1], &lda, &b[1],
&ldb, ©b[1], &ldb, &c__[1], &work[
1], &lwork);
}
/* Test 18: Check if x is in the rowspace of A */
result[17] = 0.;
if (n > crank) {
result[17] = zqrt14_("No transpose", &m, &n, &
nrhs, ©a[1], &lda, &b[1], &ldb, &
work[1], &lwork);
}
/* Print information about the tests that did not */
/* pass the threshold. */
for (k = 7; k <= 18; ++k) {
if (result[k - 1] >= *thresh) {
if (nfail == 0 && nerrs == 0) {
alahd_(nout, path);
}
io___41.ciunit = *nout;
s_wsfe(&io___41);
do_fio(&c__1, (char *)&m, (ftnlen)sizeof(
integer));
do_fio(&c__1, (char *)&n, (ftnlen)sizeof(
integer));
do_fio(&c__1, (char *)&nrhs, (ftnlen)
sizeof(integer));
do_fio(&c__1, (char *)&nb, (ftnlen)sizeof(
integer));
do_fio(&c__1, (char *)&itype, (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 += 12;
/* L90: */
}
L100:
;
}
/* L110: */
}
/* L120: */
}
/* L130: */
}
/* L140: */
}
/* Print a summary of the results. */
alasvm_(path, nout, &nfail, &nrun, &nerrs);
return 0;
/* End of ZDRVLS */
} /* zdrvls_ */
