Esempio n. 1
1
/* Subroutine */ int zdrvpp_(logical *dotype, integer *nn, integer *nval,
                             integer *nrhs, doublereal *thresh, logical *tsterr, integer *nmax,
                             doublecomplex *a, doublecomplex *afac, doublecomplex *asav,
                             doublecomplex *b, doublecomplex *bsav, doublecomplex *x,
                             doublecomplex *xact, doublereal *s, doublecomplex *work, doublereal *
                             rwork, integer *nout)
{
    /* Initialized data */

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

    /* Format strings */
    static char fmt_9999[] = "(1x,a6,\002, UPLO='\002,a1,\002', N =\002,i5"
                             ",\002, type \002,i1,\002, test(\002,i1,\002)=\002,g12.5)";
    static char fmt_9997[] = "(1x,a6,\002, FACT='\002,a1,\002', UPLO='\002,a"
                             "1,\002', N=\002,i5,\002, EQUED='\002,a1,\002', type \002,i1,\002"
                             ", test(\002,i1,\002)=\002,g12.5)";
    static char fmt_9998[] = "(1x,a6,\002, FACT='\002,a1,\002', UPLO='\002,a"
                             "1,\002', N=\002,i5,\002, type \002,i1,\002, test(\002,i1,\002)"
                             "=\002,g12.5)";

    /* System generated locals */
    address a__1[2];
    integer i__1, i__2, i__3, i__4, i__5[2];
    char ch__1[2];

    /* Builtin functions */
    /* Subroutine */ int s_copy(char *, char *, ftnlen, ftnlen);
    integer s_wsfe(cilist *), do_fio(integer *, char *, ftnlen), e_wsfe(void);
    /* Subroutine */ int s_cat(char *, char **, integer *, integer *, ftnlen);

    /* Local variables */
    integer i__, k, n, k1, in, kl, ku, nt, lda, npp;
    char fact[1];
    integer ioff, mode;
    doublereal amax;
    char path[3];
    integer imat, info;
    char dist[1], uplo[1], type__[1];
    integer nrun, ifact, nfail, iseed[4], nfact;
    extern doublereal dget06_(doublereal *, doublereal *);
    extern logical lsame_(char *, char *);
    char equed[1];
    doublereal roldc, rcond, scond;
    integer nimat;
    doublereal anorm;
    extern /* Subroutine */ int zget04_(integer *, integer *, doublecomplex *,
                                        integer *, doublecomplex *, integer *, doublereal *, doublereal *
                                       );
    logical equil;
    integer iuplo, izero, nerrs;
    extern /* Subroutine */ int zppt01_(char *, integer *, doublecomplex *,
                                        doublecomplex *, doublereal *, doublereal *), zppt02_(
                                            char *, integer *, integer *, doublecomplex *, doublecomplex *,
                                            integer *, doublecomplex *, integer *, doublereal *, doublereal *);
    logical zerot;
    extern /* Subroutine */ int zcopy_(integer *, doublecomplex *, integer *,
                                       doublecomplex *, integer *), zppt05_(char *, integer *, integer *,
                                               doublecomplex *, doublecomplex *, integer *, doublecomplex *,
                                               integer *, doublecomplex *, integer *, doublereal *, doublereal *,
                                               doublereal *);
    char xtype[1];
    extern /* Subroutine */ int zppsv_(char *, integer *, integer *,
                                       doublecomplex *, doublecomplex *, integer *, integer *),
                                                     zlatb4_(char *, integer *, integer *, integer *, char *, integer *
                                                             , integer *, doublereal *, integer *, doublereal *, char *), aladhd_(integer *, char *),
                                                     alaerh_(char *, char *, integer *, integer *, char *, integer *,
                                                             integer *, integer *, integer *, integer *, integer *, integer *,
                                                             integer *, integer *);
    logical prefac;
    doublereal rcondc;
    logical nofact;
    char packit[1];
    integer iequed;
    extern /* Subroutine */ int alasvm_(char *, integer *, integer *, integer
                                        *, integer *);
    doublereal cndnum;
    extern /* Subroutine */ int zlaipd_(integer *, doublecomplex *, integer *,
                                        integer *);
    doublereal ainvnm;
    extern doublereal zlanhp_(char *, char *, integer *, doublecomplex *,
                              doublereal *);
    extern /* Subroutine */ int zlaqhp_(char *, integer *, doublecomplex *,
                                        doublereal *, doublereal *, doublereal *, char *),
                                                   zlacpy_(char *, integer *, integer *, doublecomplex *, integer *,
                                                           doublecomplex *, integer *), zlarhs_(char *, char *,
                                                                   char *, char *, integer *, integer *, integer *, integer *,
                                                                   integer *, doublecomplex *, integer *, doublecomplex *, integer *,
                                                                   doublecomplex *, integer *, integer *, integer *), zlaset_(char *, integer *, integer *,
                                                                           doublecomplex *, doublecomplex *, doublecomplex *, integer *), zlatms_(integer *, integer *, char *, integer *, char *,
                                                                                   doublereal *, integer *, doublereal *, doublereal *, integer *,
                                                                                   integer *, char *, doublecomplex *, integer *, doublecomplex *,
                                                                                   integer *);
    doublereal result[6];
    extern /* Subroutine */ int zppequ_(char *, integer *, doublecomplex *,
                                        doublereal *, doublereal *, doublereal *, integer *),
                                                   zpptrf_(char *, integer *, doublecomplex *, integer *),
                                                   zpptri_(char *, integer *, doublecomplex *, integer *),
                                                   zerrvx_(char *, integer *), zppsvx_(char *, char *,
                                                           integer *, integer *, doublecomplex *, doublecomplex *, char *,
                                                           doublereal *, doublecomplex *, integer *, doublecomplex *,
                                                           integer *, doublereal *, doublereal *, doublereal *,
                                                           doublecomplex *, doublereal *, integer *);

    /* Fortran I/O blocks */
    static cilist io___49 = { 0, 0, 0, fmt_9999, 0 };
    static cilist io___52 = { 0, 0, 0, fmt_9997, 0 };
    static cilist io___53 = { 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 */
    /*  ======= */

    /*  ZDRVPP tests the driver routines ZPPSV and -SVX. */

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

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

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

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

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

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

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

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

    /*  A       (workspace) COMPLEX*16 array, dimension (NMAX*(NMAX+1)/2) */

    /*  AFAC    (workspace) COMPLEX*16 array, dimension (NMAX*(NMAX+1)/2) */

    /*  ASAV    (workspace) COMPLEX*16 array, dimension (NMAX*(NMAX+1)/2) */

    /*  B       (workspace) COMPLEX*16 array, dimension (NMAX*NRHS) */

    /*  BSAV    (workspace) COMPLEX*16 array, dimension (NMAX*NRHS) */

    /*  X       (workspace) COMPLEX*16 array, dimension (NMAX*NRHS) */

    /*  XACT    (workspace) COMPLEX*16 array, dimension (NMAX*NRHS) */

    /*  S       (workspace) DOUBLE PRECISION array, dimension (NMAX) */

    /*  WORK    (workspace) COMPLEX*16 array, dimension */
    /*                      (NMAX*max(3,NRHS)) */

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

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

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

    /*     .. Parameters .. */
    /*     .. */
    /*     .. Local Scalars .. */
    /*     .. */
    /*     .. Local Arrays .. */
    /*     .. */
    /*     .. External Functions .. */
    /*     .. */
    /*     .. External Subroutines .. */
    /*     .. */
    /*     .. Scalars in Common .. */
    /*     .. */
    /*     .. Common blocks .. */
    /*     .. */
    /*     .. Intrinsic Functions .. */
    /*     .. */
    /*     .. Data statements .. */
    /* Parameter adjustments */
    --rwork;
    --work;
    --s;
    --xact;
    --x;
    --bsav;
    --b;
    --asav;
    --afac;
    --a;
    --nval;
    --dotype;

    /* Function Body */
    /*     .. */
    /*     .. Executable Statements .. */

    /*     Initialize constants and the random number seed. */

    s_copy(path, "Zomplex precision", (ftnlen)1, (ftnlen)17);
    s_copy(path + 1, "PP", (ftnlen)2, (ftnlen)2);
    nrun = 0;
    nfail = 0;
    nerrs = 0;
    for (i__ = 1; i__ <= 4; ++i__) {
        iseed[i__ - 1] = iseedy[i__ - 1];
        /* L10: */
    }

    /*     Test the error exits */

    if (*tsterr) {
        zerrvx_(path, nout);
    }
    infoc_1.infot = 0;

    /*     Do for each value of N in NVAL */

    i__1 = *nn;
    for (in = 1; in <= i__1; ++in) {
        n = nval[in];
        lda = max(n,1);
        npp = n * (n + 1) / 2;
        *(unsigned char *)xtype = 'N';
        nimat = 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 L130;
            }

            /*           Skip types 3, 4, or 5 if the matrix size is too small. */

            zerot = imat >= 3 && imat <= 5;
            if (zerot && n < imat - 2) {
                goto L130;
            }

            /*           Do first for UPLO = 'U', then for UPLO = 'L' */

            for (iuplo = 1; iuplo <= 2; ++iuplo) {
                *(unsigned char *)uplo = *(unsigned char *)&uplos[iuplo - 1];
                *(unsigned char *)packit = *(unsigned char *)&packs[iuplo - 1]
                                           ;

                /*              Set up parameters with ZLATB4 and generate a test matrix */
                /*              with ZLATMS. */

                zlatb4_(path, &imat, &n, &n, type__, &kl, &ku, &anorm, &mode,
                        &cndnum, dist);
                rcondc = 1. / cndnum;

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

                /*              Check error code from ZLATMS. */

                if (info != 0) {
                    alaerh_(path, "ZLATMS", &info, &c__0, uplo, &n, &n, &c_n1,
                            &c_n1, &c_n1, &imat, &nfail, &nerrs, nout);
                    goto L120;
                }

                /*              For types 3-5, zero one row and column of the matrix to */
                /*              test that INFO is returned correctly. */

                if (zerot) {
                    if (imat == 3) {
                        izero = 1;
                    } else if (imat == 4) {
                        izero = n;
                    } else {
                        izero = n / 2 + 1;
                    }

                    /*                 Set row and column IZERO of A to 0. */

                    if (iuplo == 1) {
                        ioff = (izero - 1) * izero / 2;
                        i__3 = izero - 1;
                        for (i__ = 1; i__ <= i__3; ++i__) {
                            i__4 = ioff + i__;
                            a[i__4].r = 0., a[i__4].i = 0.;
                            /* L20: */
                        }
                        ioff += izero;
                        i__3 = n;
                        for (i__ = izero; i__ <= i__3; ++i__) {
                            i__4 = ioff;
                            a[i__4].r = 0., a[i__4].i = 0.;
                            ioff += i__;
                            /* L30: */
                        }
                    } else {
                        ioff = izero;
                        i__3 = izero - 1;
                        for (i__ = 1; i__ <= i__3; ++i__) {
                            i__4 = ioff;
                            a[i__4].r = 0., a[i__4].i = 0.;
                            ioff = ioff + n - i__;
                            /* L40: */
                        }
                        ioff -= izero;
                        i__3 = n;
                        for (i__ = izero; i__ <= i__3; ++i__) {
                            i__4 = ioff + i__;
                            a[i__4].r = 0., a[i__4].i = 0.;
                            /* L50: */
                        }
                    }
                } else {
                    izero = 0;
                }

                /*              Set the imaginary part of the diagonals. */

                if (iuplo == 1) {
                    zlaipd_(&n, &a[1], &c__2, &c__1);
                } else {
                    zlaipd_(&n, &a[1], &n, &c_n1);
                }

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

                zcopy_(&npp, &a[1], &c__1, &asav[1], &c__1);

                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 L100;
                            }
                            rcondc = 0.;

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

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

                            zcopy_(&npp, &asav[1], &c__1, &afac[1], &c__1);
                            if (equil || iequed > 1) {

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

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

                                    /*                             Equilibrate the matrix. */

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

                            /*                       Save the condition number of the */
                            /*                       non-equilibrated system for use in ZGET04. */

                            if (equil) {
                                roldc = rcondc;
                            }

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

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

                            /*                       Factor the matrix A. */

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

                            /*                       Form the inverse of A. */

                            zcopy_(&npp, &afac[1], &c__1, &a[1], &c__1);
                            zpptri_(uplo, &n, &a[1], &info);

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

                            ainvnm = zlanhp_("1", uplo, &n, &a[1], &rwork[1]);
                            if (anorm <= 0. || ainvnm <= 0.) {
                                rcondc = 1.;
                            } else {
                                rcondc = 1. / anorm / ainvnm;
                            }
                        }

                        /*                    Restore the matrix A. */

                        zcopy_(&npp, &asav[1], &c__1, &a[1], &c__1);

                        /*                    Form an exact solution and set the right hand side. */

                        s_copy(srnamc_1.srnamt, "ZLARHS", (ftnlen)6, (ftnlen)
                               6);
                        zlarhs_(path, xtype, uplo, " ", &n, &n, &kl, &ku,
                                nrhs, &a[1], &lda, &xact[1], &lda, &b[1], &
                                lda, iseed, &info);
                        *(unsigned char *)xtype = 'C';
                        zlacpy_("Full", &n, nrhs, &b[1], &lda, &bsav[1], &lda);

                        if (nofact) {

                            /*                       --- Test ZPPSV  --- */

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

                            zcopy_(&npp, &a[1], &c__1, &afac[1], &c__1);
                            zlacpy_("Full", &n, nrhs, &b[1], &lda, &x[1], &
                                    lda);

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

                            /*                       Check error code from ZPPSV . */

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

                            zppt01_(uplo, &n, &a[1], &afac[1], &rwork[1],
                                    result);

                            /*                       Compute residual of the computed solution. */

                            zlacpy_("Full", &n, nrhs, &b[1], &lda, &work[1], &
                                    lda);
                            zppt02_(uplo, &n, nrhs, &a[1], &x[1], &lda, &work[
                                        1], &lda, &rwork[1], &result[1]);

                            /*                       Check solution from generated exact solution. */

                            zget04_(&n, nrhs, &x[1], &lda, &xact[1], &lda, &
                                    rcondc, &result[2]);
                            nt = 3;

                            /*                       Print information about the tests that did not */
                            /*                       pass the threshold. */

                            i__4 = nt;
                            for (k = 1; k <= i__4; ++k) {
                                if (result[k - 1] >= *thresh) {
                                    if (nfail == 0 && nerrs == 0) {
                                        aladhd_(nout, path);
                                    }
                                    io___49.ciunit = *nout;
                                    s_wsfe(&io___49);
                                    do_fio(&c__1, "ZPPSV ", (ftnlen)6);
                                    do_fio(&c__1, uplo, (ftnlen)1);
                                    do_fio(&c__1, (char *)&n, (ftnlen)sizeof(
                                               integer));
                                    do_fio(&c__1, (char *)&imat, (ftnlen)
                                           sizeof(integer));
                                    do_fio(&c__1, (char *)&k, (ftnlen)sizeof(
                                               integer));
                                    do_fio(&c__1, (char *)&result[k - 1], (
                                               ftnlen)sizeof(doublereal));
                                    e_wsfe();
                                    ++nfail;
                                }
                                /* L60: */
                            }
                            nrun += nt;
L70:
                            ;
                        }

                        /*                    --- Test ZPPSVX --- */

                        if (! prefac && npp > 0) {
                            zlaset_("Full", &npp, &c__1, &c_b63, &c_b63, &
                                    afac[1], &npp);
                        }
                        zlaset_("Full", &n, nrhs, &c_b63, &c_b63, &x[1], &lda);
                        if (iequed > 1 && n > 0) {

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

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

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

                        s_copy(srnamc_1.srnamt, "ZPPSVX", (ftnlen)6, (ftnlen)
                               6);
                        zppsvx_(fact, uplo, &n, nrhs, &a[1], &afac[1], equed,
                                &s[1], &b[1], &lda, &x[1], &lda, &rcond, &
                                rwork[1], &rwork[*nrhs + 1], &work[1], &rwork[
                                    (*nrhs << 1) + 1], &info);

                        /*                    Check the error code from ZPPSVX. */

                        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, "ZPPSVX", &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. */

                                zppt01_(uplo, &n, &a[1], &afac[1], &rwork[(*
                                        nrhs << 1) + 1], result);
                                k1 = 1;
                            } else {
                                k1 = 2;
                            }

                            /*                       Compute residual of the computed solution. */

                            zlacpy_("Full", &n, nrhs, &bsav[1], &lda, &work[1]
                                    , &lda);
                            zppt02_(uplo, &n, nrhs, &asav[1], &x[1], &lda, &
                                    work[1], &lda, &rwork[(*nrhs << 1) + 1], &
                                    result[1]);

                            /*                       Check solution from generated exact solution. */

                            if (nofact || prefac && lsame_(equed, "N")) {
                                zget04_(&n, nrhs, &x[1], &lda, &xact[1], &lda,
                                        &rcondc, &result[2]);
                            } else {
                                zget04_(&n, nrhs, &x[1], &lda, &xact[1], &lda,
                                        &roldc, &result[2]);
                            }

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

                            zppt05_(uplo, &n, nrhs, &asav[1], &b[1], &lda, &x[
                                        1], &lda, &xact[1], &lda, &rwork[1], &
                                    rwork[*nrhs + 1], &result[3]);
                        } else {
                            k1 = 6;
                        }

                        /*                    Compare RCOND from ZPPSVX with the computed value */
                        /*                    in RCONDC. */

                        result[5] = dget06_(&rcond, &rcondc);

                        /*                    Print information about the tests that did not pass */
                        /*                    the threshold. */

                        for (k = k1; k <= 6; ++k) {
                            if (result[k - 1] >= *thresh) {
                                if (nfail == 0 && nerrs == 0) {
                                    aladhd_(nout, path);
                                }
                                if (prefac) {
                                    io___52.ciunit = *nout;
                                    s_wsfe(&io___52);
                                    do_fio(&c__1, "ZPPSVX", (ftnlen)6);
                                    do_fio(&c__1, fact, (ftnlen)1);
                                    do_fio(&c__1, uplo, (ftnlen)1);
                                    do_fio(&c__1, (char *)&n, (ftnlen)sizeof(
                                               integer));
                                    do_fio(&c__1, equed, (ftnlen)1);
                                    do_fio(&c__1, (char *)&imat, (ftnlen)
                                           sizeof(integer));
                                    do_fio(&c__1, (char *)&k, (ftnlen)sizeof(
                                               integer));
                                    do_fio(&c__1, (char *)&result[k - 1], (
                                               ftnlen)sizeof(doublereal));
                                    e_wsfe();
                                } else {
                                    io___53.ciunit = *nout;
                                    s_wsfe(&io___53);
                                    do_fio(&c__1, "ZPPSVX", (ftnlen)6);
                                    do_fio(&c__1, fact, (ftnlen)1);
                                    do_fio(&c__1, uplo, (ftnlen)1);
                                    do_fio(&c__1, (char *)&n, (ftnlen)sizeof(
                                               integer));
                                    do_fio(&c__1, (char *)&imat, (ftnlen)
                                           sizeof(integer));
                                    do_fio(&c__1, (char *)&k, (ftnlen)sizeof(
                                               integer));
                                    do_fio(&c__1, (char *)&result[k - 1], (
                                               ftnlen)sizeof(doublereal));
                                    e_wsfe();
                                }
                                ++nfail;
                            }
                            /* L80: */
                        }
                        nrun = nrun + 7 - k1;
L90:
L100:
                        ;
                    }
                    /* L110: */
                }
L120:
                ;
            }
L130:
            ;
        }
        /* L140: */
    }

    /*     Print a summary of the results. */

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

    return 0;

    /*     End of ZDRVPP */

} /* zdrvpp_ */
Esempio n. 2
0
/* Subroutine */ int zchkpp_(logical *dotype, integer *nn, integer *nval, 
	integer *nns, integer *nsval, doublereal *thresh, logical *tsterr, 
	integer *nmax, doublecomplex *a, doublecomplex *afac, doublecomplex *
	ainv, doublecomplex *b, doublecomplex *x, doublecomplex *xact, 
	doublecomplex *work, doublereal *rwork, integer *nout)
{
    /* Initialized data */

    static integer iseedy[4] = { 1988,1989,1990,1991 };
    static char uplos[1*2] = "U" "L";
    static char packs[1*2] = "C" "R";

    /* Format strings */
    static char fmt_9999[] = "(\002 UPLO = '\002,a1,\002', N =\002,i5,\002, "
	    "type \002,i2,\002, test \002,i2,\002, ratio =\002,g12.5)";
    static char fmt_9998[] = "(\002 UPLO = '\002,a1,\002', N =\002,i5,\002, "
	    "NRHS=\002,i3,\002, type \002,i2,\002, test(\002,i2,\002) =\002,g"
	    "12.5)";

    /* System generated locals */
    integer i__1, i__2, i__3, i__4;

    /* Local variables */
    integer i__, k, n, in, kl, ku, lda, npp, ioff, mode, imat, info;
    char path[3], dist[1];
    integer irhs, nrhs;
    char uplo[1], type__[1];
    integer nrun;
    integer nfail, iseed[4];
    doublereal rcond;
    integer nimat;
    doublereal anorm;
    integer iuplo, izero, nerrs;
    logical zerot;
    char xtype[1];
    doublereal rcondc;
    char packit[1];
    doublereal cndnum;
    doublereal result[8];

    /* Fortran I/O blocks */
    static cilist io___34 = { 0, 0, 0, fmt_9999, 0 };
    static cilist io___37 = { 0, 0, 0, fmt_9998, 0 };
    static cilist io___39 = { 0, 0, 0, fmt_9999, 0 };



/*  -- LAPACK test routine (version 3.1) -- */
/*     Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */
/*     November 2006 */

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

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

/*  ZCHKPP tests ZPPTRF, -TRI, -TRS, -RFS, and -CON */

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

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

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

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

/*  NNS     (input) INTEGER */
/*          The number of values of NRHS contained in the vector NSVAL. */

/*  NSVAL   (input) INTEGER array, dimension (NNS) */
/*          The values of the number of right hand sides NRHS. */

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

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

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

/*  A       (workspace) COMPLEX*16 array, dimension */
/*                      (NMAX*(NMAX+1)/2) */

/*  AFAC    (workspace) COMPLEX*16 array, dimension */
/*                      (NMAX*(NMAX+1)/2) */

/*  AINV    (workspace) COMPLEX*16 array, dimension */
/*                      (NMAX*(NMAX+1)/2) */

/*  B       (workspace) COMPLEX*16 array, dimension (NMAX*NSMAX) */
/*          where NSMAX is the largest entry in NSVAL. */

/*  X       (workspace) COMPLEX*16 array, dimension (NMAX*NSMAX) */

/*  XACT    (workspace) COMPLEX*16 array, dimension (NMAX*NSMAX) */

/*  WORK    (workspace) COMPLEX*16 array, dimension */
/*                      (NMAX*max(3,NSMAX)) */

/*  RWORK   (workspace) DOUBLE PRECISION array, dimension */
/*                      (max(NMAX,2*NSMAX)) */

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

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

/*     .. Parameters .. */
/*     .. */
/*     .. Local Scalars .. */
/*     .. */
/*     .. Local Arrays .. */
/*     .. */
/*     .. External Functions .. */
/*     .. */
/*     .. External Subroutines .. */
/*     .. */
/*     .. Scalars in Common .. */
/*     .. */
/*     .. Common blocks .. */
/*     .. */
/*     .. Intrinsic Functions .. */
/*     .. */
/*     .. Data statements .. */
    /* Parameter adjustments */
    --rwork;
    --work;
    --xact;
    --x;
    --b;
    --ainv;
    --afac;
    --a;
    --nsval;
    --nval;
    --dotype;

    /* Function Body */
/*     .. */
/*     .. Executable Statements .. */

/*     Initialize constants and the random number seed. */

    s_copy(path, "Zomplex precision", (ftnlen)1, (ftnlen)17);
    s_copy(path + 1, "PP", (ftnlen)2, (ftnlen)2);
    nrun = 0;
    nfail = 0;
    nerrs = 0;
    for (i__ = 1; i__ <= 4; ++i__) {
	iseed[i__ - 1] = iseedy[i__ - 1];
/* L10: */
    }

/*     Test the error exits */

    if (*tsterr) {
	zerrpo_(path, nout);
    }
    infoc_1.infot = 0;

/*     Do for each value of N in NVAL */

    i__1 = *nn;
    for (in = 1; in <= i__1; ++in) {
	n = nval[in];
	lda = max(n,1);
	*(unsigned char *)xtype = 'N';
	nimat = 9;
	if (n <= 0) {
	    nimat = 1;
	}

	i__2 = nimat;
	for (imat = 1; imat <= i__2; ++imat) {

/*           Do the tests only if DOTYPE( IMAT ) is true. */

	    if (! dotype[imat]) {
		goto L100;
	    }

/*           Skip types 3, 4, or 5 if the matrix size is too small. */

	    zerot = imat >= 3 && imat <= 5;
	    if (zerot && n < imat - 2) {
		goto L100;
	    }

/*           Do first for UPLO = 'U', then for UPLO = 'L' */

	    for (iuplo = 1; iuplo <= 2; ++iuplo) {
		*(unsigned char *)uplo = *(unsigned char *)&uplos[iuplo - 1];
		*(unsigned char *)packit = *(unsigned char *)&packs[iuplo - 1]
			;

/*              Set up parameters with ZLATB4 and generate a test matrix */
/*              with ZLATMS. */

		zlatb4_(path, &imat, &n, &n, type__, &kl, &ku, &anorm, &mode, 
			&cndnum, dist);

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

/*              Check error code from ZLATMS. */

		if (info != 0) {
		    alaerh_(path, "ZLATMS", &info, &c__0, uplo, &n, &n, &c_n1, 
			     &c_n1, &c_n1, &imat, &nfail, &nerrs, nout);
		    goto L90;
		}

/*              For types 3-5, zero one row and column of the matrix to */
/*              test that INFO is returned correctly. */

		if (zerot) {
		    if (imat == 3) {
			izero = 1;
		    } else if (imat == 4) {
			izero = n;
		    } else {
			izero = n / 2 + 1;
		    }

/*                 Set row and column IZERO of A to 0. */

		    if (iuplo == 1) {
			ioff = (izero - 1) * izero / 2;
			i__3 = izero - 1;
			for (i__ = 1; i__ <= i__3; ++i__) {
			    i__4 = ioff + i__;
			    a[i__4].r = 0., a[i__4].i = 0.;
/* L20: */
			}
			ioff += izero;
			i__3 = n;
			for (i__ = izero; i__ <= i__3; ++i__) {
			    i__4 = ioff;
			    a[i__4].r = 0., a[i__4].i = 0.;
			    ioff += i__;
/* L30: */
			}
		    } else {
			ioff = izero;
			i__3 = izero - 1;
			for (i__ = 1; i__ <= i__3; ++i__) {
			    i__4 = ioff;
			    a[i__4].r = 0., a[i__4].i = 0.;
			    ioff = ioff + n - i__;
/* L40: */
			}
			ioff -= izero;
			i__3 = n;
			for (i__ = izero; i__ <= i__3; ++i__) {
			    i__4 = ioff + i__;
			    a[i__4].r = 0., a[i__4].i = 0.;
/* L50: */
			}
		    }
		} else {
		    izero = 0;
		}

/*              Set the imaginary part of the diagonals. */

		if (iuplo == 1) {
		    zlaipd_(&n, &a[1], &c__2, &c__1);
		} else {
		    zlaipd_(&n, &a[1], &n, &c_n1);
		}

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

		npp = n * (n + 1) / 2;
		zcopy_(&npp, &a[1], &c__1, &afac[1], &c__1);
		s_copy(srnamc_1.srnamt, "ZPPTRF", (ftnlen)32, (ftnlen)6);
		zpptrf_(uplo, &n, &afac[1], &info);

/*              Check error code from ZPPTRF. */

		if (info != izero) {
		    alaerh_(path, "ZPPTRF", &info, &izero, uplo, &n, &n, &
			    c_n1, &c_n1, &c_n1, &imat, &nfail, &nerrs, nout);
		    goto L90;
		}

/*              Skip the tests if INFO is not 0. */

		if (info != 0) {
		    goto L90;
		}

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

		zcopy_(&npp, &afac[1], &c__1, &ainv[1], &c__1);
		zppt01_(uplo, &n, &a[1], &ainv[1], &rwork[1], result);

/* +    TEST 2 */
/*              Form the inverse and compute the residual. */

		zcopy_(&npp, &afac[1], &c__1, &ainv[1], &c__1);
		s_copy(srnamc_1.srnamt, "ZPPTRI", (ftnlen)32, (ftnlen)6);
		zpptri_(uplo, &n, &ainv[1], &info);

/*              Check error code from ZPPTRI. */

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

		zppt03_(uplo, &n, &a[1], &ainv[1], &work[1], &lda, &rwork[1], 
			&rcondc, &result[1]);

/*              Print information about the tests that did not pass */
/*              the threshold. */

		for (k = 1; k <= 2; ++k) {
		    if (result[k - 1] >= *thresh) {
			if (nfail == 0 && nerrs == 0) {
			    alahd_(nout, path);
			}
			io___34.ciunit = *nout;
			s_wsfe(&io___34);
			do_fio(&c__1, uplo, (ftnlen)1);
			do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer));
			do_fio(&c__1, (char *)&imat, (ftnlen)sizeof(integer));
			do_fio(&c__1, (char *)&k, (ftnlen)sizeof(integer));
			do_fio(&c__1, (char *)&result[k - 1], (ftnlen)sizeof(
				doublereal));
			e_wsfe();
			++nfail;
		    }
/* L60: */
		}
		nrun += 2;

		i__3 = *nns;
		for (irhs = 1; irhs <= i__3; ++irhs) {
		    nrhs = nsval[irhs];

/* +    TEST 3 */
/*              Solve and compute residual for  A * X = B. */

		    s_copy(srnamc_1.srnamt, "ZLARHS", (ftnlen)32, (ftnlen)6);
		    zlarhs_(path, xtype, uplo, " ", &n, &n, &kl, &ku, &nrhs, &
			    a[1], &lda, &xact[1], &lda, &b[1], &lda, iseed, &
			    info);
		    zlacpy_("Full", &n, &nrhs, &b[1], &lda, &x[1], &lda);

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

/*              Check error code from ZPPTRS. */

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

		    zlacpy_("Full", &n, &nrhs, &b[1], &lda, &work[1], &lda);
		    zppt02_(uplo, &n, &nrhs, &a[1], &x[1], &lda, &work[1], &
			    lda, &rwork[1], &result[2]);

/* +    TEST 4 */
/*              Check solution from generated exact solution. */

		    zget04_(&n, &nrhs, &x[1], &lda, &xact[1], &lda, &rcondc, &
			    result[3]);

/* +    TESTS 5, 6, and 7 */
/*              Use iterative refinement to improve the solution. */

		    s_copy(srnamc_1.srnamt, "ZPPRFS", (ftnlen)32, (ftnlen)6);
		    zpprfs_(uplo, &n, &nrhs, &a[1], &afac[1], &b[1], &lda, &x[
			    1], &lda, &rwork[1], &rwork[nrhs + 1], &work[1], &
			    rwork[(nrhs << 1) + 1], &info);

/*              Check error code from ZPPRFS. */

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

		    zget04_(&n, &nrhs, &x[1], &lda, &xact[1], &lda, &rcondc, &
			    result[4]);
		    zppt05_(uplo, &n, &nrhs, &a[1], &b[1], &lda, &x[1], &lda, 
			    &xact[1], &lda, &rwork[1], &rwork[nrhs + 1], &
			    result[5]);

/*                 Print information about the tests that did not pass */
/*                 the threshold. */

		    for (k = 3; k <= 7; ++k) {
			if (result[k - 1] >= *thresh) {
			    if (nfail == 0 && nerrs == 0) {
				alahd_(nout, path);
			    }
			    io___37.ciunit = *nout;
			    s_wsfe(&io___37);
			    do_fio(&c__1, uplo, (ftnlen)1);
			    do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer))
				    ;
			    do_fio(&c__1, (char *)&nrhs, (ftnlen)sizeof(
				    integer));
			    do_fio(&c__1, (char *)&imat, (ftnlen)sizeof(
				    integer));
			    do_fio(&c__1, (char *)&k, (ftnlen)sizeof(integer))
				    ;
			    do_fio(&c__1, (char *)&result[k - 1], (ftnlen)
				    sizeof(doublereal));
			    e_wsfe();
			    ++nfail;
			}
/* L70: */
		    }
		    nrun += 5;
/* L80: */
		}

/* +    TEST 8 */
/*              Get an estimate of RCOND = 1/CNDNUM. */

		anorm = zlanhp_("1", uplo, &n, &a[1], &rwork[1]);
		s_copy(srnamc_1.srnamt, "ZPPCON", (ftnlen)32, (ftnlen)6);
		zppcon_(uplo, &n, &afac[1], &anorm, &rcond, &work[1], &rwork[
			1], &info);

/*              Check error code from ZPPCON. */

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

		result[7] = dget06_(&rcond, &rcondc);

/*              Print the test ratio if greater than or equal to THRESH. */

		if (result[7] >= *thresh) {
		    if (nfail == 0 && nerrs == 0) {
			alahd_(nout, path);
		    }
		    io___39.ciunit = *nout;
		    s_wsfe(&io___39);
		    do_fio(&c__1, uplo, (ftnlen)1);
		    do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer));
		    do_fio(&c__1, (char *)&imat, (ftnlen)sizeof(integer));
		    do_fio(&c__1, (char *)&c__8, (ftnlen)sizeof(integer));
		    do_fio(&c__1, (char *)&result[7], (ftnlen)sizeof(
			    doublereal));
		    e_wsfe();
		    ++nfail;
		}
		++nrun;

L90:
		;
	    }
L100:
	    ;
	}
/* L110: */
    }

/*     Print a summary of the results. */

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

    return 0;

/*     End of ZCHKPP */

} /* zchkpp_ */