/* 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 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_ */