zchkps.c

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/* zchkps.f -- translated by f2c (version 20061008).
   You must link the resulting object file with libf2c:
        on Microsoft Windows system, link with libf2c.lib;
        on Linux or Unix systems, link with .../path/to/libf2c.a -lm
        or, if you install libf2c.a in a standard place, with -lf2c -lm
        -- in that order, at the end of the command line, as in
                cc *.o -lf2c -lm
        Source for libf2c is in /netlib/f2c/libf2c.zip, e.g.,

                http://www.netlib.org/f2c/libf2c.zip
*/

#include "f2c.h"
#include "blaswrap.h"

/* Common Block Declarations */

struct {
    integer infot, nunit;
    logical ok, lerr;
} infoc_;

#define infoc_1 infoc_

struct {
    char srnamt[32];
} srnamc_;

#define srnamc_1 srnamc_

/* Table of constant values */

static integer c__0 = 0;
static integer c_n1 = -1;
static integer c__1 = 1;

/* Subroutine */ int zchkps_(logical *dotype, integer *nn, integer *nval, 
        integer *nnb, integer *nbval, integer *nrank, integer *rankval, 
        doublereal *thresh, logical *tsterr, integer *nmax, doublecomplex *a, 
        doublecomplex *afac, doublecomplex *perm, integer *piv, doublecomplex 
        *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;
    doublereal anorm;
    integer iuplo, izero, nerrs;
    extern /* Subroutine */ int zpst01_(char *, integer *, doublecomplex *, 
            integer *, doublecomplex *, integer *, doublecomplex *, integer *, 
             integer *, doublereal *, doublereal *, integer *), 
            zlatb5_(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 *), alasum_(
            char *, integer *, integer *, integer *, integer *);
    doublereal cndnum;
    extern /* Subroutine */ int xlaenv_(integer *, integer *), zlacpy_(char *, 
             integer *, integer *, doublecomplex *, integer *, doublecomplex *
, integer *), zlatmt_(integer *, integer *, char *, 
            integer *, char *, doublereal *, integer *, doublereal *, 
            doublereal *, integer *, integer *, integer *, char *, 
            doublecomplex *, integer *, doublecomplex *, integer *);
    doublereal result;
    extern /* Subroutine */ int zerrps_(char *, integer *), zpstrf_(
            char *, integer *, doublecomplex *, integer *, integer *, integer 
            *, doublereal *, doublereal *, integer *);

    /* 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 */
/*  ======= */

/*  ZCHKPS tests ZPSTRF. */

/*  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) COMPLEX*16 array, dimension (NMAX*NMAX) */

/*  AFAC    (workspace) COMPLEX*16 array, dimension (NMAX*NMAX) */

/*  PERM    (workspace) COMPLEX*16 array, dimension (NMAX*NMAX) */

/*  PIV     (workspace) INTEGER array, dimension (NMAX) */

/*  WORK    (workspace) COMPLEX*16 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, "Zomplex Precision", (ftnlen)1, (ftnlen)17);
    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) {
        zerrps_(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);
        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.f;
                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 ZLATB5 and generate a test matrix */
/*              with ZLATMT. */

                    zlatb5_(path, &imat, &n, type__, &kl, &ku, &anorm, &mode, 
                            &cndnum, dist);

                    s_copy(srnamc_1.srnamt, "ZLATMT", (ftnlen)32, (ftnlen)6);
                    zlatmt_(&n, &n, dist, iseed, type__, &rwork[1], &mode, &
                            cndnum, &anorm, &rank, &kl, &ku, uplo, &a[1], &
                            lda, &work[1], &info);

/*              Check error code from ZLATMT. */

                    if (info != 0) {
                        alaerh_(path, "ZLATMT", &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. */

                        zlacpy_(uplo, &n, &n, &a[1], &lda, &afac[1], &lda);
                        s_copy(srnamc_1.srnamt, "ZPSTRF", (ftnlen)32, (ftnlen)
                                6);

/*                 Use default tolerance */

                        tol = -1.;
                        zpstrf_(uplo, &n, &afac[1], &lda, &piv[1], &comprank, 
                                &tol, &rwork[1], &info);

/*                 Check error code from ZPSTRF. */

                        if (info < izero || info != izero && rank == n || 
                                info <= izero && rank < n) {
                            alaerh_(path, "ZPSTRF", &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 */

                        zpst01_(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 ZCHKPS */

} /* zchkps_ */