sdrvpo.c

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/* sdrvpo.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_b50 = 0.f;

/* Subroutine */ int sdrvpo_(logical *dotype, integer *nn, integer *nval, 
        integer *nrhs, real *thresh, logical *tsterr, integer *nmax, real *a, 
        real *afac, real *asav, real *b, real *bsav, real *x, real *xact, 
        real *s, real *work, real *rwork, integer *iwork, integer *nout)
{
    /* Initialized data */

    static integer iseedy[4] = { 1988,1989,1990,1991 };
    static char uplos[1*2] = "U" "L";
    static char facts[1*3] = "F" "N" "E";
    static char 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];

    /* 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], uplo[1], type__[1];
    integer nrun, ifact, nfail, iseed[4], nfact;
    extern logical lsame_(char *, char *);
    char equed[1];
    integer nbmin;
    real rcond, roldc, scond;
    integer nimat;
    extern doublereal sget06_(real *, real *);
    extern /* Subroutine */ int sget04_(integer *, integer *, real *, integer 
            *, real *, integer *, real *, real *);
    real anorm;
    logical equil;
    extern /* Subroutine */ int spot01_(char *, integer *, real *, integer *, 
            real *, integer *, real *, real *), spot02_(char *, 
            integer *, integer *, real *, integer *, real *, integer *, real *
, integer *, real *, real *);
    integer iuplo, izero, nerrs;
    extern /* Subroutine */ int spot05_(char *, integer *, integer *, real *, 
            integer *, real *, integer *, real *, integer *, real *, integer *
, real *, real *, real *);
    logical zerot;
    char xtype[1];
    extern /* Subroutine */ int sposv_(char *, integer *, integer *, real *, 
            integer *, real *, integer *, integer *), slatb4_(char *, 
            integer *, integer *, integer *, char *, integer *, integer *, 
            real *, integer *, real *, char *), 
            aladhd_(integer *, char *), alaerh_(char *, char *, 
            integer *, integer *, char *, integer *, integer *, integer *, 
            integer *, integer *, integer *, integer *, integer *, integer *);
    logical prefac;
    real rcondc;
    logical nofact;
    integer iequed;
    extern /* Subroutine */ int alasvm_(char *, integer *, integer *, integer 
            *, integer *);
    real cndnum, ainvnm;
    extern /* Subroutine */ int slacpy_(char *, integer *, integer *, real *, 
            integer *, real *, integer *), slarhs_(char *, char *, 
            char *, char *, integer *, integer *, integer *, integer *, 
            integer *, real *, integer *, real *, integer *, real *, integer *
, integer *, integer *), slaset_(
            char *, integer *, integer *, real *, real *, real *, integer *), xlaenv_(integer *, integer *), slatms_(integer *, 
            integer *, char *, integer *, char *, real *, integer *, real *, 
            real *, integer *, integer *, char *, real *, integer *, real *, 
            integer *);
    extern doublereal slansy_(char *, char *, integer *, real *, integer *, 
            real *);
    extern /* Subroutine */ int slaqsy_(char *, integer *, real *, integer *, 
            real *, real *, real *, char *);
    real result[6];
    extern /* Subroutine */ int spoequ_(integer *, real *, integer *, real *, 
            real *, real *, integer *), spotrf_(char *, integer *, real *, 
            integer *, integer *), spotri_(char *, integer *, real *, 
            integer *, integer *), serrvx_(char *, integer *),
             sposvx_(char *, char *, integer *, integer *, real *, integer *, 
            real *, integer *, char *, real *, real *, integer *, real *, 
            integer *, real *, real *, real *, real *, integer *, integer *);

    /* 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 3.1) -- */
/*     Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */
/*     November 2006 */

/*     .. Scalar Arguments .. */
/*     .. */
/*     .. Array Arguments .. */
/*     .. */

/*  Purpose */
/*  ======= */

/*  SDRVPO tests the driver routines SPOSV and -SVX. */

/*  Arguments */
/*  ========= */

/*  DOTYPE  (input) LOGICAL array, dimension (NTYPES) */
/*          The matrix types to be used for testing.  Matrices of type j */
/*          (for 1 <= j <= NTYPES) are used for testing if DOTYPE(j) = */
/*          .TRUE.; if DOTYPE(j) = .FALSE., then type j is not used. */

/*  NN      (input) INTEGER */
/*          The number of values of N contained in the vector NVAL. */

/*  NVAL    (input) INTEGER array, dimension (NN) */
/*          The values of the matrix dimension N. */

/*  NRHS    (input) INTEGER */
/*          The number of right hand side vectors to be generated for */
/*          each linear system. */

/*  THRESH  (input) REAL */
/*          The threshold value for the test ratios.  A result is */
/*          included in the output file if RESULT >= THRESH.  To have */
/*          every test ratio printed, use THRESH = 0. */

/*  TSTERR  (input) LOGICAL */
/*          Flag that indicates whether error exits are to be tested. */

/*  NMAX    (input) INTEGER */
/*          The maximum value permitted for N, used in dimensioning the */
/*          work arrays. */

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

/*  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 (NMAX) */

/*  WORK    (workspace) REAL array, dimension */
/*                      (NMAX*max(3,NRHS)) */

/*  RWORK   (workspace) REAL array, dimension (NMAX+2*NRHS) */

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

/*  NOUT    (input) INTEGER */
/*          The unit number for output. */

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

/*     .. 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, "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) {
        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 = 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 SLATB4 and generate a test matrix */
/*              with SLATMS. */

                slatb4_(path, &imat, &n, &n, type__, &kl, &ku, &anorm, &mode, 
                        &cndnum, dist);

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

/*              Check error code from SLATMS. */

                if (info != 0) {
                    alaerh_(path, "SLATMS", &info, &c__0, uplo, &n, &n, &c_n1, 
                             &c_n1, &c_n1, &imat, &nfail, &nerrs, nout);
                    goto 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__) {
                            a[ioff + i__] = 0.f;
/* L20: */
                        }
                        ioff += izero;
                        i__3 = n;
                        for (i__ = izero; i__ <= i__3; ++i__) {
                            a[ioff] = 0.f;
                            ioff += lda;
/* L30: */
                        }
                    } else {
                        ioff = izero;
                        i__3 = izero - 1;
                        for (i__ = 1; i__ <= i__3; ++i__) {
                            a[ioff] = 0.f;
                            ioff += lda;
/* L40: */
                        }
                        ioff -= izero;
                        i__3 = n;
                        for (i__ = izero; i__ <= i__3; ++i__) {
                            a[ioff + i__] = 0.f;
/* L50: */
                        }
                    }
                } else {
                    izero = 0;
                }

/*              Save a copy of the matrix A in ASAV. */

                slacpy_(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.f;

                        } else if (! lsame_(fact, "N")) 
                                {

/*                       Compute the condition number for comparison with */
/*                       the value returned by SPOSVX (FACT = 'N' reuses */
/*                       the condition number from the previous iteration */
/*                       with FACT = 'F'). */

                            slacpy_(uplo, &n, &n, &asav[1], &lda, &afac[1], &
                                    lda);
                            if (equil || iequed > 1) {

/*                          Compute row and column scale factors to */
/*                          equilibrate the matrix A. */

                                spoequ_(&n, &afac[1], &lda, &s[1], &scond, &
                                        amax, &info);
                                if (info == 0 && n > 0) {
                                    if (iequed > 1) {
                                        scond = 0.f;
                                    }

/*                             Equilibrate the matrix. */

                                    slaqsy_(uplo, &n, &afac[1], &lda, &s[1], &
                                            scond, &amax, equed);
                                }
                            }

/*                       Save the condition number of the */
/*                       non-equilibrated system for use in SGET04. */

                            if (equil) {
                                roldc = rcondc;
                            }

/*                       Compute the 1-norm of A. */

                            anorm = slansy_("1", uplo, &n, &afac[1], &lda, &
                                    rwork[1]);

/*                       Factor the matrix A. */

                            spotrf_(uplo, &n, &afac[1], &lda, &info);

/*                       Form the inverse of A. */

                            slacpy_(uplo, &n, &n, &afac[1], &lda, &a[1], &lda);
                            spotri_(uplo, &n, &a[1], &lda, &info);

/*                       Compute the 1-norm condition number of A. */

                            ainvnm = slansy_("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. */

                        slacpy_(uplo, &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)32, (ftnlen)
                                6);
                        slarhs_(path, xtype, uplo, " ", &n, &n, &kl, &ku, 
                                nrhs, &a[1], &lda, &xact[1], &lda, &b[1], &
                                lda, iseed, &info);
                        *(unsigned char *)xtype = 'C';
                        slacpy_("Full", &n, nrhs, &b[1], &lda, &bsav[1], &lda);

                        if (nofact) {

/*                       --- Test SPOSV  --- */

/*                       Compute the L*L' or U'*U factorization of the */
/*                       matrix and solve the system. */

                            slacpy_(uplo, &n, &n, &a[1], &lda, &afac[1], &lda);
                            slacpy_("Full", &n, nrhs, &b[1], &lda, &x[1], &
                                    lda);

                            s_copy(srnamc_1.srnamt, "SPOSV ", (ftnlen)32, (
                                    ftnlen)6);
                            sposv_(uplo, &n, nrhs, &afac[1], &lda, &x[1], &
                                    lda, &info);

/*                       Check error code from SPOSV . */

                            if (info != izero) {
                                alaerh_(path, "SPOSV ", &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. */

                            spot01_(uplo, &n, &a[1], &lda, &afac[1], &lda, &
                                    rwork[1], result);

/*                       Compute residual of the computed solution. */

                            slacpy_("Full", &n, nrhs, &b[1], &lda, &work[1], &
                                    lda);
                            spot02_(uplo, &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___48.ciunit = *nout;
                                    s_wsfe(&io___48);
                                    do_fio(&c__1, "SPOSV ", (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 SPOSVX --- */

                        if (! prefac) {
                            slaset_(uplo, &n, &n, &c_b50, &c_b50, &afac[1], &
                                    lda);
                        }
                        slaset_("Full", &n, nrhs, &c_b50, &c_b50, &x[1], &lda);
                        if (iequed > 1 && n > 0) {

/*                       Equilibrate the matrix if FACT='F' and */
/*                       EQUED='Y'. */

                            slaqsy_(uplo, &n, &a[1], &lda, &s[1], &scond, &
                                    amax, equed);
                        }

/*                    Solve the system and compute the condition number */
/*                    and error bounds using SPOSVX. */

                        s_copy(srnamc_1.srnamt, "SPOSVX", (ftnlen)32, (ftnlen)
                                6);
                        sposvx_(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], 
                                 &iwork[1], &info);

/*                    Check the error code from SPOSVX. */

                        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, "SPOSVX", &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. */

                                spot01_(uplo, &n, &a[1], &lda, &afac[1], &lda, 
                                         &rwork[(*nrhs << 1) + 1], result);
                                k1 = 1;
                            } else {
                                k1 = 2;
                            }

/*                       Compute residual of the computed solution. */

                            slacpy_("Full", &n, nrhs, &bsav[1], &lda, &work[1]
, &lda);
                            spot02_(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")) {
                                sget04_(&n, nrhs, &x[1], &lda, &xact[1], &lda, 
                                         &rcondc, &result[2]);
                            } else {
                                sget04_(&n, nrhs, &x[1], &lda, &xact[1], &lda, 
                                         &roldc, &result[2]);
                            }

/*                       Check the error bounds from iterative */
/*                       refinement. */

                            spot05_(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 SPOSVX 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, "SPOSVX", (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, "SPOSVX", (ftnlen)6);
                                    do_fio(&c__1, fact, (ftnlen)1);
                                    do_fio(&c__1, uplo, (ftnlen)1);
                                    do_fio(&c__1, (char *)&n, (ftnlen)sizeof(
                                            integer));
                                    do_fio(&c__1, (char *)&imat, (ftnlen)
                                            sizeof(integer));
                                    do_fio(&c__1, (char *)&k, (ftnlen)sizeof(
                                            integer));
                                    do_fio(&c__1, (char *)&result[k - 1], (
                                            ftnlen)sizeof(real));
                                    e_wsfe();
                                }
                                ++nfail;
                            }
/* L80: */
                        }
                        nrun = nrun + 7 - k1;
L90:
                        ;
                    }
/* L100: */
                }
L110:
                ;
            }
L120:
            ;
        }
/* L130: */
    }

/*     Print a summary of the results. */

    alasvm_(path, nout, &nfail, &nrun, &nerrs);

    return 0;

/*     End of SDRVPO */

} /* sdrvpo_ */