dchktr.c

Go to the documentation of this file.

/* dchktr.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, iounit;
    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__1 = 1;
static integer c__0 = 0;
static integer c_n1 = -1;
static integer c__3 = 3;
static integer c__7 = 7;
static integer c__4 = 4;
static doublereal c_b101 = 1.;
static integer c__8 = 8;
static integer c__9 = 9;

/* Subroutine */ int dchktr_(logical *dotype, integer *nn, integer *nval, 
        integer *nnb, integer *nbval, integer *nns, integer *nsval, 
        doublereal *thresh, logical *tsterr, integer *nmax, doublereal *a, 
        doublereal *ainv, doublereal *b, doublereal *x, doublereal *xact, 
        doublereal *work, doublereal *rwork, integer *iwork, integer *nout)
{
    /* Initialized data */

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

    /* Format strings */
    static char fmt_9999[] = "(\002 UPLO='\002,a1,\002', DIAG='\002,a1,\002'"
            ", N=\002,i5,\002, NB=\002,i4,\002, type \002,i2,\002, test(\002,"
            "i2,\002)= \002,g12.5)";
    static char fmt_9998[] = "(\002 UPLO='\002,a1,\002', TRANS='\002,a1,\002"
            "', DIAG='\002,a1,\002', N=\002,i5,\002, NB=\002,i4,\002, type"
            " \002,i2,\002,                      test(\002,i2,\002)= \002,g12"
            ".5)";
    static char fmt_9997[] = "(\002 NORM='\002,a1,\002', UPLO ='\002,a1,\002"
            "', N=\002,i5,\002,\002,11x,\002 type \002,i2,\002, test(\002,i2"
            ",\002)=\002,g12.5)";
    static char fmt_9996[] = "(1x,a,\002( '\002,a1,\002', '\002,a1,\002', "
            "'\002,a1,\002', '\002,a1,\002',\002,i5,\002, ... ), type \002,i2,"
            "\002, test(\002,i2,\002)=\002,g12.5)";

    /* System generated locals */
    address a__1[2], a__2[3], a__3[4];
    integer i__1, i__2, i__3[2], i__4, i__5[3], i__6[4];
    char ch__1[2], ch__2[3], ch__3[4];

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

    /* Local variables */
    integer i__, k, n, nb, in, lda, inb;
    char diag[1];
    integer imat, info;
    char path[3];
    integer irhs, nrhs;
    char norm[1], uplo[1];
    integer nrun;
    extern /* Subroutine */ int alahd_(integer *, char *);
    integer idiag;
    doublereal scale;
    extern /* Subroutine */ int dget04_(integer *, integer *, doublereal *, 
            integer *, doublereal *, integer *, doublereal *, doublereal *);
    integer nfail, iseed[4];
    extern logical lsame_(char *, char *);
    doublereal rcond, anorm;
    integer itran;
    extern /* Subroutine */ int dcopy_(integer *, doublereal *, integer *, 
            doublereal *, integer *), dtrt01_(char *, char *, integer *, 
            doublereal *, integer *, doublereal *, integer *, doublereal *, 
            doublereal *, doublereal *), dtrt02_(char *, char 
            *, char *, integer *, integer *, doublereal *, integer *, 
            doublereal *, integer *, doublereal *, integer *, doublereal *, 
            doublereal *), dtrt03_(char *, char *, 
            char *, integer *, integer *, doublereal *, integer *, doublereal 
            *, doublereal *, doublereal *, doublereal *, integer *, 
            doublereal *, integer *, doublereal *, doublereal *), dtrt05_(char *, char *, char *, integer *, 
            integer *, doublereal *, integer *, doublereal *, integer *, 
            doublereal *, integer *, doublereal *, integer *, doublereal *, 
            doublereal *, doublereal *), dtrt06_(
            doublereal *, doublereal *, char *, char *, integer *, doublereal 
            *, integer *, doublereal *, doublereal *);
    char trans[1];
    integer iuplo, nerrs;
    doublereal dummy;
    char xtype[1];
    extern /* Subroutine */ int alaerh_(char *, char *, integer *, integer *, 
            char *, integer *, integer *, integer *, integer *, integer *, 
            integer *, integer *, integer *, integer *);
    doublereal rcondc;
    extern /* Subroutine */ int dlacpy_(char *, integer *, integer *, 
            doublereal *, integer *, doublereal *, integer *), 
            dlarhs_(char *, char *, char *, char *, integer *, integer *, 
            integer *, integer *, integer *, doublereal *, integer *, 
            doublereal *, integer *, doublereal *, integer *, integer *, 
            integer *);
    doublereal rcondi;
    extern /* Subroutine */ int alasum_(char *, integer *, integer *, integer 
            *, integer *);
    doublereal rcondo;
    extern doublereal dlantr_(char *, char *, char *, integer *, integer *, 
            doublereal *, integer *, doublereal *);
    doublereal ainvnm;
    extern /* Subroutine */ int dlatrs_(char *, char *, char *, char *, 
            integer *, doublereal *, integer *, doublereal *, doublereal *, 
            doublereal *, integer *), dlattr_(
            integer *, char *, char *, char *, integer *, integer *, 
            doublereal *, integer *, doublereal *, doublereal *, integer *), dtrcon_(char *, char *, char *, integer *
, doublereal *, integer *, doublereal *, doublereal *, integer *, 
            integer *), xlaenv_(integer *, integer *),
             derrtr_(char *, integer *), dtrrfs_(char *, char *, char 
            *, integer *, integer *, doublereal *, integer *, doublereal *, 
            integer *, doublereal *, integer *, doublereal *, doublereal *, 
            doublereal *, integer *, integer *), 
            dtrtri_(char *, char *, integer *, doublereal *, integer *, 
            integer *);
    doublereal result[9];
    extern /* Subroutine */ int dtrtrs_(char *, char *, char *, integer *, 
            integer *, doublereal *, integer *, doublereal *, integer *, 
            integer *);

    /* Fortran I/O blocks */
    static cilist io___27 = { 0, 0, 0, fmt_9999, 0 };
    static cilist io___36 = { 0, 0, 0, fmt_9998, 0 };
    static cilist io___38 = { 0, 0, 0, fmt_9997, 0 };
    static cilist io___40 = { 0, 0, 0, fmt_9996, 0 };
    static cilist io___41 = { 0, 0, 0, fmt_9996, 0 };



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

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

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

/*  DCHKTR tests DTRTRI, -TRS, -RFS, and -CON, and DLATRS */

/*  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 column dimension N. */

/*  NNB     (input) INTEGER */
/*          The number of values of NB contained in the vector NBVAL. */

/*  NBVAL   (input) INTEGER array, dimension (NNB) */
/*          The values of the blocksize NB. */

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

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

/*  THRESH  (input) 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 leading dimension of the work arrays. */
/*          NMAX >= the maximum value of N in NVAL. */

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

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

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

/*  X       (workspace) DOUBLE PRECISION array, dimension (NMAX*NSMAX) */

/*  XACT    (workspace) DOUBLE PRECISION array, dimension (NMAX*NSMAX) */

/*  WORK    (workspace) DOUBLE PRECISION array, dimension */
/*                      (NMAX*max(3,NSMAX)) */

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

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

/*  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 */
    --iwork;
    --rwork;
    --work;
    --xact;
    --x;
    --b;
    --ainv;
    --a;
    --nsval;
    --nbval;
    --nval;
    --dotype;

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

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

    s_copy(path, "Double precision", (ftnlen)1, (ftnlen)16);
    s_copy(path + 1, "TR", (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) {
        derrtr_(path, nout);
    }
    infoc_1.infot = 0;
    xlaenv_(&c__2, &c__2);

    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);
        *(unsigned char *)xtype = 'N';

        for (imat = 1; imat <= 10; ++imat) {

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

            if (! dotype[imat]) {
                goto L80;
            }

            for (iuplo = 1; iuplo <= 2; ++iuplo) {

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

                *(unsigned char *)uplo = *(unsigned char *)&uplos[iuplo - 1];

/*              Call DLATTR to generate a triangular test matrix. */

                s_copy(srnamc_1.srnamt, "DLATTR", (ftnlen)32, (ftnlen)6);
                dlattr_(&imat, uplo, "No transpose", diag, iseed, &n, &a[1], &
                        lda, &x[1], &work[1], &info);

/*              Set IDIAG = 1 for non-unit matrices, 2 for unit. */

                if (lsame_(diag, "N")) {
                    idiag = 1;
                } else {
                    idiag = 2;
                }

                i__2 = *nnb;
                for (inb = 1; inb <= i__2; ++inb) {

/*                 Do for each blocksize in NBVAL */

                    nb = nbval[inb];
                    xlaenv_(&c__1, &nb);

/* +    TEST 1 */
/*                 Form the inverse of A. */

                    dlacpy_(uplo, &n, &n, &a[1], &lda, &ainv[1], &lda);
                    s_copy(srnamc_1.srnamt, "DTRTRI", (ftnlen)32, (ftnlen)6);
                    dtrtri_(uplo, diag, &n, &ainv[1], &lda, &info);

/*                 Check error code from DTRTRI. */

                    if (info != 0) {
/* Writing concatenation */
                        i__3[0] = 1, a__1[0] = uplo;
                        i__3[1] = 1, a__1[1] = diag;
                        s_cat(ch__1, a__1, i__3, &c__2, (ftnlen)2);
                        alaerh_(path, "DTRTRI", &info, &c__0, ch__1, &n, &n, &
                                c_n1, &c_n1, &nb, &imat, &nfail, &nerrs, nout);
                    }

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

                    anorm = dlantr_("I", uplo, diag, &n, &n, &a[1], &lda, &
                            rwork[1]);
                    ainvnm = dlantr_("I", uplo, diag, &n, &n, &ainv[1], &lda, 
                            &rwork[1]);
                    if (anorm <= 0. || ainvnm <= 0.) {
                        rcondi = 1.;
                    } else {
                        rcondi = 1. / anorm / ainvnm;
                    }

/*                 Compute the residual for the triangular matrix times */
/*                 its inverse.  Also compute the 1-norm condition number */
/*                 of A. */

                    dtrt01_(uplo, diag, &n, &a[1], &lda, &ainv[1], &lda, &
                            rcondo, &rwork[1], result);

/*                 Print the test ratio if it is .GE. THRESH. */

                    if (result[0] >= *thresh) {
                        if (nfail == 0 && nerrs == 0) {
                            alahd_(nout, path);
                        }
                        io___27.ciunit = *nout;
                        s_wsfe(&io___27);
                        do_fio(&c__1, uplo, (ftnlen)1);
                        do_fio(&c__1, diag, (ftnlen)1);
                        do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer));
                        do_fio(&c__1, (char *)&nb, (ftnlen)sizeof(integer));
                        do_fio(&c__1, (char *)&imat, (ftnlen)sizeof(integer));
                        do_fio(&c__1, (char *)&c__1, (ftnlen)sizeof(integer));
                        do_fio(&c__1, (char *)&result[0], (ftnlen)sizeof(
                                doublereal));
                        e_wsfe();
                        ++nfail;
                    }
                    ++nrun;

/*                 Skip remaining tests if not the first block size. */

                    if (inb != 1) {
                        goto L60;
                    }

                    i__4 = *nns;
                    for (irhs = 1; irhs <= i__4; ++irhs) {
                        nrhs = nsval[irhs];
                        *(unsigned char *)xtype = 'N';

                        for (itran = 1; itran <= 3; ++itran) {

/*                    Do for op(A) = A, A**T, or A**H. */

                            *(unsigned char *)trans = *(unsigned char *)&
                                    transs[itran - 1];
                            if (itran == 1) {
                                *(unsigned char *)norm = 'O';
                                rcondc = rcondo;
                            } else {
                                *(unsigned char *)norm = 'I';
                                rcondc = rcondi;
                            }

/* +    TEST 2 */
/*                       Solve and compute residual for op(A)*x = b. */

                            s_copy(srnamc_1.srnamt, "DLARHS", (ftnlen)32, (
                                    ftnlen)6);
                            dlarhs_(path, xtype, uplo, trans, &n, &n, &c__0, &
                                    idiag, &nrhs, &a[1], &lda, &xact[1], &lda, 
                                     &b[1], &lda, iseed, &info);
                            *(unsigned char *)xtype = 'C';
                            dlacpy_("Full", &n, &nrhs, &b[1], &lda, &x[1], &
                                    lda);

                            s_copy(srnamc_1.srnamt, "DTRTRS", (ftnlen)32, (
                                    ftnlen)6);
                            dtrtrs_(uplo, trans, diag, &n, &nrhs, &a[1], &lda, 
                                     &x[1], &lda, &info);

/*                       Check error code from DTRTRS. */

                            if (info != 0) {
/* Writing concatenation */
                                i__5[0] = 1, a__2[0] = uplo;
                                i__5[1] = 1, a__2[1] = trans;
                                i__5[2] = 1, a__2[2] = diag;
                                s_cat(ch__2, a__2, i__5, &c__3, (ftnlen)3);
                                alaerh_(path, "DTRTRS", &info, &c__0, ch__2, &
                                        n, &n, &c_n1, &c_n1, &nrhs, &imat, &
                                        nfail, &nerrs, nout);
                            }

/*                       This line is needed on a Sun SPARCstation. */

                            if (n > 0) {
                                dummy = a[1];
                            }

                            dtrt02_(uplo, trans, diag, &n, &nrhs, &a[1], &lda, 
                                     &x[1], &lda, &b[1], &lda, &work[1], &
                                    result[1]);

/* +    TEST 3 */
/*                       Check solution from generated exact solution. */

                            dget04_(&n, &nrhs, &x[1], &lda, &xact[1], &lda, &
                                    rcondc, &result[2]);

/* +    TESTS 4, 5, and 6 */
/*                       Use iterative refinement to improve the solution */
/*                       and compute error bounds. */

                            s_copy(srnamc_1.srnamt, "DTRRFS", (ftnlen)32, (
                                    ftnlen)6);
                            dtrrfs_(uplo, trans, diag, &n, &nrhs, &a[1], &lda, 
                                     &b[1], &lda, &x[1], &lda, &rwork[1], &
                                    rwork[nrhs + 1], &work[1], &iwork[1], &
                                    info);

/*                       Check error code from DTRRFS. */

                            if (info != 0) {
/* Writing concatenation */
                                i__5[0] = 1, a__2[0] = uplo;
                                i__5[1] = 1, a__2[1] = trans;
                                i__5[2] = 1, a__2[2] = diag;
                                s_cat(ch__2, a__2, i__5, &c__3, (ftnlen)3);
                                alaerh_(path, "DTRRFS", &info, &c__0, ch__2, &
                                        n, &n, &c_n1, &c_n1, &nrhs, &imat, &
                                        nfail, &nerrs, nout);
                            }

                            dget04_(&n, &nrhs, &x[1], &lda, &xact[1], &lda, &
                                    rcondc, &result[3]);
                            dtrt05_(uplo, trans, diag, &n, &nrhs, &a[1], &lda, 
                                     &b[1], &lda, &x[1], &lda, &xact[1], &lda, 
                                     &rwork[1], &rwork[nrhs + 1], &result[4]);

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

                            for (k = 2; k <= 6; ++k) {
                                if (result[k - 1] >= *thresh) {
                                    if (nfail == 0 && nerrs == 0) {
                                        alahd_(nout, path);
                                    }
                                    io___36.ciunit = *nout;
                                    s_wsfe(&io___36);
                                    do_fio(&c__1, uplo, (ftnlen)1);
                                    do_fio(&c__1, trans, (ftnlen)1);
                                    do_fio(&c__1, diag, (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;
                                }
/* L20: */
                            }
                            nrun += 5;
/* L30: */
                        }
/* L40: */
                    }

/* +    TEST 7 */
/*                       Get an estimate of RCOND = 1/CNDNUM. */

                    for (itran = 1; itran <= 2; ++itran) {
                        if (itran == 1) {
                            *(unsigned char *)norm = 'O';
                            rcondc = rcondo;
                        } else {
                            *(unsigned char *)norm = 'I';
                            rcondc = rcondi;
                        }
                        s_copy(srnamc_1.srnamt, "DTRCON", (ftnlen)32, (ftnlen)
                                6);
                        dtrcon_(norm, uplo, diag, &n, &a[1], &lda, &rcond, &
                                work[1], &iwork[1], &info);

/*                       Check error code from DTRCON. */

                        if (info != 0) {
/* Writing concatenation */
                            i__5[0] = 1, a__2[0] = norm;
                            i__5[1] = 1, a__2[1] = uplo;
                            i__5[2] = 1, a__2[2] = diag;
                            s_cat(ch__2, a__2, i__5, &c__3, (ftnlen)3);
                            alaerh_(path, "DTRCON", &info, &c__0, ch__2, &n, &
                                    n, &c_n1, &c_n1, &c_n1, &imat, &nfail, &
                                    nerrs, nout);
                        }

                        dtrt06_(&rcond, &rcondc, uplo, diag, &n, &a[1], &lda, 
                                &rwork[1], &result[6]);

/*                    Print the test ratio if it is .GE. THRESH. */

                        if (result[6] >= *thresh) {
                            if (nfail == 0 && nerrs == 0) {
                                alahd_(nout, path);
                            }
                            io___38.ciunit = *nout;
                            s_wsfe(&io___38);
                            do_fio(&c__1, norm, (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 *)&c__7, (ftnlen)sizeof(
                                    integer));
                            do_fio(&c__1, (char *)&result[6], (ftnlen)sizeof(
                                    doublereal));
                            e_wsfe();
                            ++nfail;
                        }
                        ++nrun;
/* L50: */
                    }
L60:
                    ;
                }
/* L70: */
            }
L80:
            ;
        }

/*        Use pathological test matrices to test DLATRS. */

        for (imat = 11; imat <= 18; ++imat) {

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

            if (! dotype[imat]) {
                goto L110;
            }

            for (iuplo = 1; iuplo <= 2; ++iuplo) {

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

                *(unsigned char *)uplo = *(unsigned char *)&uplos[iuplo - 1];
                for (itran = 1; itran <= 3; ++itran) {

/*                 Do for op(A) = A, A**T, and A**H. */

                    *(unsigned char *)trans = *(unsigned char *)&transs[itran 
                            - 1];

/*                 Call DLATTR to generate a triangular test matrix. */

                    s_copy(srnamc_1.srnamt, "DLATTR", (ftnlen)32, (ftnlen)6);
                    dlattr_(&imat, uplo, trans, diag, iseed, &n, &a[1], &lda, 
                            &x[1], &work[1], &info);

/* +    TEST 8 */
/*                 Solve the system op(A)*x = b. */

                    s_copy(srnamc_1.srnamt, "DLATRS", (ftnlen)32, (ftnlen)6);
                    dcopy_(&n, &x[1], &c__1, &b[1], &c__1);
                    dlatrs_(uplo, trans, diag, "N", &n, &a[1], &lda, &b[1], &
                            scale, &rwork[1], &info);

/*                 Check error code from DLATRS. */

                    if (info != 0) {
/* Writing concatenation */
                        i__6[0] = 1, a__3[0] = uplo;
                        i__6[1] = 1, a__3[1] = trans;
                        i__6[2] = 1, a__3[2] = diag;
                        i__6[3] = 1, a__3[3] = "N";
                        s_cat(ch__3, a__3, i__6, &c__4, (ftnlen)4);
                        alaerh_(path, "DLATRS", &info, &c__0, ch__3, &n, &n, &
                                c_n1, &c_n1, &c_n1, &imat, &nfail, &nerrs, 
                                nout);
                    }

                    dtrt03_(uplo, trans, diag, &n, &c__1, &a[1], &lda, &scale, 
                             &rwork[1], &c_b101, &b[1], &lda, &x[1], &lda, &
                            work[1], &result[7]);

/* +    TEST 9 */
/*                 Solve op(A)*X = b again with NORMIN = 'Y'. */

                    dcopy_(&n, &x[1], &c__1, &b[n + 1], &c__1);
                    dlatrs_(uplo, trans, diag, "Y", &n, &a[1], &lda, &b[n + 1]
, &scale, &rwork[1], &info);

/*                 Check error code from DLATRS. */

                    if (info != 0) {
/* Writing concatenation */
                        i__6[0] = 1, a__3[0] = uplo;
                        i__6[1] = 1, a__3[1] = trans;
                        i__6[2] = 1, a__3[2] = diag;
                        i__6[3] = 1, a__3[3] = "Y";
                        s_cat(ch__3, a__3, i__6, &c__4, (ftnlen)4);
                        alaerh_(path, "DLATRS", &info, &c__0, ch__3, &n, &n, &
                                c_n1, &c_n1, &c_n1, &imat, &nfail, &nerrs, 
                                nout);
                    }

                    dtrt03_(uplo, trans, diag, &n, &c__1, &a[1], &lda, &scale, 
                             &rwork[1], &c_b101, &b[n + 1], &lda, &x[1], &lda, 
                             &work[1], &result[8]);

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

                    if (result[7] >= *thresh) {
                        if (nfail == 0 && nerrs == 0) {
                            alahd_(nout, path);
                        }
                        io___40.ciunit = *nout;
                        s_wsfe(&io___40);
                        do_fio(&c__1, "DLATRS", (ftnlen)6);
                        do_fio(&c__1, uplo, (ftnlen)1);
                        do_fio(&c__1, trans, (ftnlen)1);
                        do_fio(&c__1, diag, (ftnlen)1);
                        do_fio(&c__1, "N", (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;
                    }
                    if (result[8] >= *thresh) {
                        if (nfail == 0 && nerrs == 0) {
                            alahd_(nout, path);
                        }
                        io___41.ciunit = *nout;
                        s_wsfe(&io___41);
                        do_fio(&c__1, "DLATRS", (ftnlen)6);
                        do_fio(&c__1, uplo, (ftnlen)1);
                        do_fio(&c__1, trans, (ftnlen)1);
                        do_fio(&c__1, diag, (ftnlen)1);
                        do_fio(&c__1, "Y", (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__9, (ftnlen)sizeof(integer));
                        do_fio(&c__1, (char *)&result[8], (ftnlen)sizeof(
                                doublereal));
                        e_wsfe();
                        ++nfail;
                    }
                    nrun += 2;
/* L90: */
                }
/* L100: */
            }
L110:
            ;
        }
/* L120: */
    }

/*     Print a summary of the results. */

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

    return 0;

/*     End of DCHKTR */

} /* dchktr_ */