zdrvpt.c

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/* zdrvpt.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__2 = 2;
static integer c__0 = 0;
static integer c_n1 = -1;
static integer c__1 = 1;
static doublereal c_b24 = 1.;
static doublereal c_b25 = 0.;
static doublecomplex c_b62 = {0.,0.};

/* Subroutine */ int zdrvpt_(logical *dotype, integer *nn, integer *nval, 
        integer *nrhs, doublereal *thresh, logical *tsterr, doublecomplex *a, 
        doublereal *d__, doublecomplex *e, doublecomplex *b, doublecomplex *x, 
         doublecomplex *xact, doublecomplex *work, doublereal *rwork, integer 
        *nout)
{
    /* Initialized data */

    static integer iseedy[4] = { 0,0,0,1 };

    /* Format strings */
    static char fmt_9999[] = "(1x,a,\002, N =\002,i5,\002, type \002,i2,\002"
            ", test \002,i2,\002, ratio = \002,g12.5)";
    static char fmt_9998[] = "(1x,a,\002, FACT='\002,a1,\002', N =\002,i5"
            ",\002, type \002,i2,\002, test \002,i2,\002, ratio = \002,g12.5)";

    /* System generated locals */
    integer i__1, i__2, i__3, i__4, i__5;
    doublereal d__1, d__2;

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

    /* Local variables */
    integer i__, j, k, n;
    doublereal z__[3];
    integer k1, ia, in, kl, ku, ix, nt, lda;
    char fact[1];
    doublereal cond;
    integer mode;
    doublereal dmax__;
    integer imat, info;
    char path[3], dist[1], type__[1];
    integer nrun, ifact;
    extern /* Subroutine */ int dscal_(integer *, doublereal *, doublereal *, 
            integer *);
    integer nfail, iseed[4];
    extern doublereal dget06_(doublereal *, doublereal *);
    doublereal rcond;
    integer nimat;
    doublereal anorm;
    extern /* Subroutine */ int zget04_(integer *, integer *, doublecomplex *, 
             integer *, doublecomplex *, integer *, doublereal *, doublereal *
), dcopy_(integer *, doublereal *, integer *, doublereal *, 
            integer *);
    integer izero, nerrs;
    extern /* Subroutine */ int zptt01_(integer *, doublereal *, 
            doublecomplex *, doublereal *, doublecomplex *, doublecomplex *, 
            doublereal *);
    logical zerot;
    extern /* Subroutine */ int zcopy_(integer *, doublecomplex *, integer *, 
            doublecomplex *, integer *), zptt02_(char *, integer *, integer *, 
             doublereal *, doublecomplex *, doublecomplex *, integer *, 
            doublecomplex *, integer *, doublereal *), zptt05_(
            integer *, integer *, doublereal *, doublecomplex *, 
            doublecomplex *, integer *, doublecomplex *, integer *, 
            doublecomplex *, integer *, doublereal *, doublereal *, 
            doublereal *), zptsv_(integer *, integer *, doublereal *, 
            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 *);
    extern integer idamax_(integer *, doublereal *, integer *);
    doublereal rcondc;
    extern /* Subroutine */ int zdscal_(integer *, doublereal *, 
            doublecomplex *, integer *), alasvm_(char *, integer *, integer *, 
             integer *, integer *), dlarnv_(integer *, integer *, 
            integer *, doublereal *);
    doublereal ainvnm;
    extern doublereal zlanht_(char *, integer *, doublereal *, doublecomplex *
);
    extern /* Subroutine */ int zlacpy_(char *, integer *, integer *, 
            doublecomplex *, integer *, doublecomplex *, integer *);
    extern doublereal dzasum_(integer *, doublecomplex *, integer *);
    extern /* Subroutine */ int zlaset_(char *, integer *, integer *, 
            doublecomplex *, doublecomplex *, doublecomplex *, integer *), zlaptm_(char *, integer *, integer *, doublereal *, 
            doublereal *, doublecomplex *, doublecomplex *, integer *, 
            doublereal *, doublecomplex *, integer *), zlatms_(
            integer *, integer *, char *, integer *, char *, doublereal *, 
            integer *, doublereal *, doublereal *, integer *, integer *, char 
            *, doublecomplex *, integer *, doublecomplex *, integer *), zlarnv_(integer *, integer *, integer *, 
            doublecomplex *);
    doublereal result[6];
    extern /* Subroutine */ int zpttrf_(integer *, doublereal *, 
            doublecomplex *, integer *), zerrvx_(char *, integer *), 
            zpttrs_(char *, integer *, integer *, doublereal *, doublecomplex 
            *, doublecomplex *, integer *, integer *), zptsvx_(char *, 
             integer *, integer *, doublereal *, doublecomplex *, doublereal *
, doublecomplex *, doublecomplex *, integer *, doublecomplex *, 
            integer *, doublereal *, doublereal *, doublereal *, 
            doublecomplex *, doublereal *, integer *);

    /* Fortran I/O blocks */
    static cilist io___35 = { 0, 0, 0, fmt_9999, 0 };
    static cilist io___38 = { 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 */
/*  ======= */

/*  ZDRVPT tests ZPTSV 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. */

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

/*  D       (workspace) DOUBLE PRECISION array, dimension (NMAX*2) */

/*  E       (workspace) COMPLEX*16 array, dimension (NMAX*2) */

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

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

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

/*  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 .. */
/*     .. */
/*     .. Intrinsic Functions .. */
/*     .. */
/*     .. Scalars in Common .. */
/*     .. */
/*     .. Common blocks .. */
/*     .. */
/*     .. Data statements .. */
    /* Parameter adjustments */
    --rwork;
    --work;
    --xact;
    --x;
    --b;
    --e;
    --d__;
    --a;
    --nval;
    --dotype;

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

    s_copy(path, "Zomplex precision", (ftnlen)1, (ftnlen)17);
    s_copy(path + 1, "PT", (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;

    i__1 = *nn;
    for (in = 1; in <= i__1; ++in) {

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

        n = nval[in];
        lda = max(1,n);
        nimat = 12;
        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 (n > 0 && ! dotype[imat]) {
                goto L110;
            }

/*           Set up parameters with ZLATB4. */

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

            zerot = imat >= 8 && imat <= 10;
            if (imat <= 6) {

/*              Type 1-6:  generate a symmetric tridiagonal matrix of */
/*              known condition number in lower triangular band storage. */

                s_copy(srnamc_1.srnamt, "ZLATMS", (ftnlen)32, (ftnlen)6);
                zlatms_(&n, &n, dist, iseed, type__, &rwork[1], &mode, &cond, 
                        &anorm, &kl, &ku, "B", &a[1], &c__2, &work[1], &info);

/*              Check the error code from ZLATMS. */

                if (info != 0) {
                    alaerh_(path, "ZLATMS", &info, &c__0, " ", &n, &n, &kl, &
                            ku, &c_n1, &imat, &nfail, &nerrs, nout);
                    goto L110;
                }
                izero = 0;

/*              Copy the matrix to D and E. */

                ia = 1;
                i__3 = n - 1;
                for (i__ = 1; i__ <= i__3; ++i__) {
                    i__4 = i__;
                    i__5 = ia;
                    d__[i__4] = a[i__5].r;
                    i__4 = i__;
                    i__5 = ia + 1;
                    e[i__4].r = a[i__5].r, e[i__4].i = a[i__5].i;
                    ia += 2;
/* L20: */
                }
                if (n > 0) {
                    i__3 = n;
                    i__4 = ia;
                    d__[i__3] = a[i__4].r;
                }
            } else {

/*              Type 7-12:  generate a diagonally dominant matrix with */
/*              unknown condition number in the vectors D and E. */

                if (! zerot || ! dotype[7]) {

/*                 Let D and E have values from [-1,1]. */

                    dlarnv_(&c__2, iseed, &n, &d__[1]);
                    i__3 = n - 1;
                    zlarnv_(&c__2, iseed, &i__3, &e[1]);

/*                 Make the tridiagonal matrix diagonally dominant. */

                    if (n == 1) {
                        d__[1] = abs(d__[1]);
                    } else {
                        d__[1] = abs(d__[1]) + z_abs(&e[1]);
                        d__[n] = (d__1 = d__[n], abs(d__1)) + z_abs(&e[n - 1])
                                ;
                        i__3 = n - 1;
                        for (i__ = 2; i__ <= i__3; ++i__) {
                            d__[i__] = (d__1 = d__[i__], abs(d__1)) + z_abs(&
                                    e[i__]) + z_abs(&e[i__ - 1]);
/* L30: */
                        }
                    }

/*                 Scale D and E so the maximum element is ANORM. */

                    ix = idamax_(&n, &d__[1], &c__1);
                    dmax__ = d__[ix];
                    d__1 = anorm / dmax__;
                    dscal_(&n, &d__1, &d__[1], &c__1);
                    if (n > 1) {
                        i__3 = n - 1;
                        d__1 = anorm / dmax__;
                        zdscal_(&i__3, &d__1, &e[1], &c__1);
                    }

                } else if (izero > 0) {

/*                 Reuse the last matrix by copying back the zeroed out */
/*                 elements. */

                    if (izero == 1) {
                        d__[1] = z__[1];
                        if (n > 1) {
                            e[1].r = z__[2], e[1].i = 0.;
                        }
                    } else if (izero == n) {
                        i__3 = n - 1;
                        e[i__3].r = z__[0], e[i__3].i = 0.;
                        d__[n] = z__[1];
                    } else {
                        i__3 = izero - 1;
                        e[i__3].r = z__[0], e[i__3].i = 0.;
                        d__[izero] = z__[1];
                        i__3 = izero;
                        e[i__3].r = z__[2], e[i__3].i = 0.;
                    }
                }

/*              For types 8-10, set one row and column of the matrix to */
/*              zero. */

                izero = 0;
                if (imat == 8) {
                    izero = 1;
                    z__[1] = d__[1];
                    d__[1] = 0.;
                    if (n > 1) {
                        z__[2] = e[1].r;
                        e[1].r = 0., e[1].i = 0.;
                    }
                } else if (imat == 9) {
                    izero = n;
                    if (n > 1) {
                        i__3 = n - 1;
                        z__[0] = e[i__3].r;
                        i__3 = n - 1;
                        e[i__3].r = 0., e[i__3].i = 0.;
                    }
                    z__[1] = d__[n];
                    d__[n] = 0.;
                } else if (imat == 10) {
                    izero = (n + 1) / 2;
                    if (izero > 1) {
                        i__3 = izero - 1;
                        z__[0] = e[i__3].r;
                        i__3 = izero - 1;
                        e[i__3].r = 0., e[i__3].i = 0.;
                        i__3 = izero;
                        z__[2] = e[i__3].r;
                        i__3 = izero;
                        e[i__3].r = 0., e[i__3].i = 0.;
                    }
                    z__[1] = d__[izero];
                    d__[izero] = 0.;
                }
            }

/*           Generate NRHS random solution vectors. */

            ix = 1;
            i__3 = *nrhs;
            for (j = 1; j <= i__3; ++j) {
                zlarnv_(&c__2, iseed, &n, &xact[ix]);
                ix += lda;
/* L40: */
            }

/*           Set the right hand side. */

            zlaptm_("Lower", &n, nrhs, &c_b24, &d__[1], &e[1], &xact[1], &lda, 
                     &c_b25, &b[1], &lda);

            for (ifact = 1; ifact <= 2; ++ifact) {
                if (ifact == 1) {
                    *(unsigned char *)fact = 'F';
                } else {
                    *(unsigned char *)fact = 'N';
                }

/*              Compute the condition number for comparison with */
/*              the value returned by ZPTSVX. */

                if (zerot) {
                    if (ifact == 1) {
                        goto L100;
                    }
                    rcondc = 0.;

                } else if (ifact == 1) {

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

                    anorm = zlanht_("1", &n, &d__[1], &e[1]);

                    dcopy_(&n, &d__[1], &c__1, &d__[n + 1], &c__1);
                    if (n > 1) {
                        i__3 = n - 1;
                        zcopy_(&i__3, &e[1], &c__1, &e[n + 1], &c__1);
                    }

/*                 Factor the matrix A. */

                    zpttrf_(&n, &d__[n + 1], &e[n + 1], &info);

/*                 Use ZPTTRS to solve for one column at a time of */
/*                 inv(A), computing the maximum column sum as we go. */

                    ainvnm = 0.;
                    i__3 = n;
                    for (i__ = 1; i__ <= i__3; ++i__) {
                        i__4 = n;
                        for (j = 1; j <= i__4; ++j) {
                            i__5 = j;
                            x[i__5].r = 0., x[i__5].i = 0.;
/* L50: */
                        }
                        i__4 = i__;
                        x[i__4].r = 1., x[i__4].i = 0.;
                        zpttrs_("Lower", &n, &c__1, &d__[n + 1], &e[n + 1], &
                                x[1], &lda, &info);
/* Computing MAX */
                        d__1 = ainvnm, d__2 = dzasum_(&n, &x[1], &c__1);
                        ainvnm = max(d__1,d__2);
/* L60: */
                    }

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

                    if (anorm <= 0. || ainvnm <= 0.) {
                        rcondc = 1.;
                    } else {
                        rcondc = 1. / anorm / ainvnm;
                    }
                }

                if (ifact == 2) {

/*                 --- Test ZPTSV -- */

                    dcopy_(&n, &d__[1], &c__1, &d__[n + 1], &c__1);
                    if (n > 1) {
                        i__3 = n - 1;
                        zcopy_(&i__3, &e[1], &c__1, &e[n + 1], &c__1);
                    }
                    zlacpy_("Full", &n, nrhs, &b[1], &lda, &x[1], &lda);

/*                 Factor A as L*D*L' and solve the system A*X = B. */

                    s_copy(srnamc_1.srnamt, "ZPTSV ", (ftnlen)32, (ftnlen)6);
                    zptsv_(&n, nrhs, &d__[n + 1], &e[n + 1], &x[1], &lda, &
                            info);

/*                 Check error code from ZPTSV . */

                    if (info != izero) {
                        alaerh_(path, "ZPTSV ", &info, &izero, " ", &n, &n, &
                                c__1, &c__1, nrhs, &imat, &nfail, &nerrs, 
                                nout);
                    }
                    nt = 0;
                    if (izero == 0) {

/*                    Check the factorization by computing the ratio */
/*                       norm(L*D*L' - A) / (n * norm(A) * EPS ) */

                        zptt01_(&n, &d__[1], &e[1], &d__[n + 1], &e[n + 1], &
                                work[1], result);

/*                    Compute the residual in the solution. */

                        zlacpy_("Full", &n, nrhs, &b[1], &lda, &work[1], &lda);
                        zptt02_("Lower", &n, nrhs, &d__[1], &e[1], &x[1], &
                                lda, &work[1], &lda, &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__3 = nt;
                    for (k = 1; k <= i__3; ++k) {
                        if (result[k - 1] >= *thresh) {
                            if (nfail == 0 && nerrs == 0) {
                                aladhd_(nout, path);
                            }
                            io___35.ciunit = *nout;
                            s_wsfe(&io___35);
                            do_fio(&c__1, "ZPTSV ", (ftnlen)6);
                            do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer))
                                    ;
                            do_fio(&c__1, (char *)&imat, (ftnlen)sizeof(
                                    integer));
                            do_fio(&c__1, (char *)&k, (ftnlen)sizeof(integer))
                                    ;
                            do_fio(&c__1, (char *)&result[k - 1], (ftnlen)
                                    sizeof(doublereal));
                            e_wsfe();
                            ++nfail;
                        }
/* L70: */
                    }
                    nrun += nt;
                }

/*              --- Test ZPTSVX --- */

                if (ifact > 1) {

/*                 Initialize D( N+1:2*N ) and E( N+1:2*N ) to zero. */

                    i__3 = n - 1;
                    for (i__ = 1; i__ <= i__3; ++i__) {
                        d__[n + i__] = 0.;
                        i__4 = n + i__;
                        e[i__4].r = 0., e[i__4].i = 0.;
/* L80: */
                    }
                    if (n > 0) {
                        d__[n + n] = 0.;
                    }
                }

                zlaset_("Full", &n, nrhs, &c_b62, &c_b62, &x[1], &lda);

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

                s_copy(srnamc_1.srnamt, "ZPTSVX", (ftnlen)32, (ftnlen)6);
                zptsvx_(fact, &n, nrhs, &d__[1], &e[1], &d__[n + 1], &e[n + 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 ZPTSVX. */

                if (info != izero) {
                    alaerh_(path, "ZPTSVX", &info, &izero, fact, &n, &n, &
                            c__1, &c__1, nrhs, &imat, &nfail, &nerrs, nout);
                }
                if (izero == 0) {
                    if (ifact == 2) {

/*                    Check the factorization by computing the ratio */
/*                       norm(L*D*L' - A) / (n * norm(A) * EPS ) */

                        k1 = 1;
                        zptt01_(&n, &d__[1], &e[1], &d__[n + 1], &e[n + 1], &
                                work[1], result);
                    } else {
                        k1 = 2;
                    }

/*                 Compute the residual in the solution. */

                    zlacpy_("Full", &n, nrhs, &b[1], &lda, &work[1], &lda);
                    zptt02_("Lower", &n, nrhs, &d__[1], &e[1], &x[1], &lda, &
                            work[1], &lda, &result[1]);

/*                 Check solution from generated exact solution. */

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

/*                 Check error bounds from iterative refinement. */

                    zptt05_(&n, nrhs, &d__[1], &e[1], &b[1], &lda, &x[1], &
                            lda, &xact[1], &lda, &rwork[1], &rwork[*nrhs + 1], 
                             &result[3]);
                } else {
                    k1 = 6;
                }

/*              Check the reciprocal of the condition number. */

                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);
                        }
                        io___38.ciunit = *nout;
                        s_wsfe(&io___38);
                        do_fio(&c__1, "ZPTSVX", (ftnlen)6);
                        do_fio(&c__1, fact, (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;
                    }
/* L90: */
                }
                nrun = nrun + 7 - k1;
L100:
                ;
            }
L110:
            ;
        }
/* L120: */
    }

/*     Print a summary of the results. */

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

    return 0;

/*     End of ZDRVPT */

} /* zdrvpt_ */