schkge.c

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/* schkge.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__1 = 1;
static integer c__2 = 2;
static integer c__0 = 0;
static integer c_n1 = -1;
static real c_b23 = 0.f;
static logical c_true = TRUE_;
static integer c__8 = 8;

/* Subroutine */ int schkge_(logical *dotype, integer *nm, integer *mval, 
        integer *nn, integer *nval, integer *nnb, integer *nbval, integer *
        nns, integer *nsval, real *thresh, logical *tsterr, integer *nmax, 
        real *a, real *afac, real *ainv, 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 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 *);
    integer nfail, iseed[4];
    extern /* Subroutine */ int sget01_(integer *, integer *, real *, integer 
            *, real *, integer *, integer *, real *, real *), sget02_(char *, 
            integer *, integer *, integer *, real *, integer *, real *, 
            integer *, real *, integer *, real *, real *);
    real rcond;
    extern /* Subroutine */ int sget03_(integer *, real *, integer *, real *, 
            integer *, real *, integer *, real *, real *, real *), sget04_(
            integer *, integer *, real *, integer *, real *, integer *, real *
, real *);
    integer nimat;
    extern doublereal sget06_(real *, real *);
    extern /* Subroutine */ int sget07_(char *, integer *, integer *, real *, 
            integer *, real *, integer *, real *, integer *, real *, integer *
, real *, logical *, real *, real *);
    real anorm;
    integer itran;
    char trans[1];
    integer izero, nerrs;
    real dummy;
    integer lwork;
    logical zerot;
    char xtype[1];
    extern /* Subroutine */ int slatb4_(char *, integer *, integer *, integer 
            *, char *, integer *, integer *, real *, integer *, real *, char *
), alaerh_(char *, char *, integer *, 
            integer *, char *, integer *, integer *, integer *, integer *, 
            integer *, integer *, integer *, integer *, integer *);
    real rcondc;
    extern doublereal slange_(char *, integer *, integer *, real *, integer *, 
             real *);
    real rcondi;
    extern /* Subroutine */ int sgecon_(char *, integer *, real *, integer *, 
            real *, real *, real *, integer *, integer *), alasum_(
            char *, integer *, integer *, integer *, integer *);
    real cndnum, anormi, rcondo;
    extern /* Subroutine */ int serrge_(char *, integer *);
    real ainvnm;
    extern /* Subroutine */ int sgerfs_(char *, integer *, integer *, real *, 
            integer *, real *, integer *, integer *, real *, integer *, real *
, integer *, real *, real *, real *, integer *, integer *)
            , sgetrf_(integer *, integer *, real *, integer *, integer *, 
            integer *);
    logical trfcon;
    real anormo;
    extern /* Subroutine */ int 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 *)
            , slaset_(char *, integer *, integer *, real *, real *, real *, 
            integer *), xlaenv_(integer *, integer *), slatms_(
            integer *, integer *, char *, integer *, char *, real *, integer *
, real *, real *, integer *, integer *, char *, real *, integer *, 
             real *, integer *), sgetrs_(char *, 
            integer *, integer *, real *, integer *, integer *, real *, 
            integer *, integer *);
    real 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 */
/*  ======= */

/*  SCHKGE tests SGETRF, -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) 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) */

/*  AFAC    (workspace) REAL array, dimension (NMAX*NMAX) */

/*  AINV    (workspace) REAL array, dimension (NMAX*NMAX) */

/*  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)) */

/*  RWORK   (workspace) REAL 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, "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 */

    xlaenv_(&c__1, &c__1);
    if (*tsterr) {
        serrge_(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 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 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.f;
/* L20: */
                        }
                    } else {
                        i__4 = n - izero + 1;
                        slaset_("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 = SLANGE( 'O', M, N, A, LDA, RWORK ) */
/*               ANORMI = SLANGE( '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. */

                    slacpy_("Full", &m, &n, &a[1], &lda, &afac[1], &lda);
                    s_copy(srnamc_1.srnamt, "SGETRF", (ftnlen)32, (ftnlen)6);
                    sgetrf_(&m, &n, &afac[1], &lda, &iwork[1], &info);

/*                 Check error code from SGETRF. */

                    if (info != izero) {
                        alaerh_(path, "SGETRF", &info, &izero, " ", &m, &n, &
                                c_n1, &c_n1, &nb, &imat, &nfail, &nerrs, nout);
                    }
                    trfcon = FALSE_;

/* +    TEST 1 */
/*                 Reconstruct matrix from factors and compute residual. */

                    slacpy_("Full", &m, &n, &afac[1], &lda, &ainv[1], &lda);
                    sget01_(&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) {
                        slacpy_("Full", &n, &n, &afac[1], &lda, &ainv[1], &
                                lda);
                        s_copy(srnamc_1.srnamt, "SGETRI", (ftnlen)32, (ftnlen)
                                6);
                        nrhs = nsval[1];
                        lwork = *nmax * max(3,nrhs);
                        sgetri_(&n, &ainv[1], &lda, &iwork[1], &work[1], &
                                lwork, &info);

/*                    Check error code from SGETRI. */

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

                        sget03_(&n, &a[1], &lda, &ainv[1], &lda, &work[1], &
                                lda, &rwork[1], &rcondo, &result[1]);
                        anormo = slange_("O", &m, &n, &a[1], &lda, &rwork[1]);

/*                    Compute the infinity-norm condition number of A. */

                        anormi = slange_("I", &m, &n, &a[1], &lda, &rwork[1]);
                        ainvnm = slange_("I", &n, &n, &ainv[1], &lda, &rwork[
                                1]);
                        if (anormi <= 0.f || ainvnm <= 0.f) {
                            rcondi = 1.f;
                        } else {
                            rcondi = 1.f / anormi / ainvnm;
                        }
                        nt = 2;
                    } else {

/*                    Do only the condition estimate if INFO > 0. */

                        trfcon = TRUE_;
                        anormo = slange_("O", &m, &n, &a[1], &lda, &rwork[1]);
                        anormi = slange_("I", &m, &n, &a[1], &lda, &rwork[1]);
                        rcondo = 0.f;
                        rcondi = 0.f;
                    }

/*                 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(real));
                            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, "SLARHS", (ftnlen)32, (
                                    ftnlen)6);
                            slarhs_(path, xtype, " ", 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, &x[1], &
                                    lda);
                            s_copy(srnamc_1.srnamt, "SGETRS", (ftnlen)32, (
                                    ftnlen)6);
                            sgetrs_(trans, &n, &nrhs, &afac[1], &lda, &iwork[
                                    1], &x[1], &lda, &info);

/*                       Check error code from SGETRS. */

                            if (info != 0) {
                                alaerh_(path, "SGETRS", &info, &c__0, trans, &
                                        n, &n, &c_n1, &c_n1, &nrhs, &imat, &
                                        nfail, &nerrs, nout);
                            }

                            slacpy_("Full", &n, &nrhs, &b[1], &lda, &work[1], 
                                    &lda);
                            sget02_(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. */

                            sget04_(&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, "SGERFS", (ftnlen)32, (
                                    ftnlen)6);
                            sgerfs_(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 SGERFS. */

                            if (info != 0) {
                                alaerh_(path, "SGERFS", &info, &c__0, trans, &
                                        n, &n, &c_n1, &c_n1, &nrhs, &imat, &
                                        nfail, &nerrs, nout);
                            }

                            sget04_(&n, &nrhs, &x[1], &lda, &xact[1], &lda, &
                                    rcondc, &result[4]);
                            sget07_(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(real));
                                    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, "SGECON", (ftnlen)32, (ftnlen)
                                6);
                        sgecon_(norm, &n, &afac[1], &lda, &anorm, &rcond, &
                                work[1], &iwork[n + 1], &info);

/*                       Check error code from SGECON. */

                        if (info != 0) {
                            alaerh_(path, "SGECON", &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] = 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___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(
                                    real));
                            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 SCHKGE */

} /* schkge_ */