/* Subroutine */ int dpptri_(char *uplo, integer *n, doublereal *ap, integer *
	info)
{
    /* System generated locals */
    integer i__1, i__2;

    /* Local variables */
    integer j, jc, jj;
    doublereal ajj;
    integer jjn;
    logical upper;

/*  -- LAPACK routine (version 3.2) -- */
/*     November 2006 */

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

/*  DPPTRI computes the inverse of a real symmetric positive definite */
/*  matrix A using the Cholesky factorization A = U**T*U or A = L*L**T */
/*  computed by DPPTRF. */

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

/*  UPLO    (input) CHARACTER*1 */
/*          = 'U':  Upper triangular factor is stored in AP; */
/*          = 'L':  Lower triangular factor is stored in AP. */

/*  N       (input) INTEGER */
/*          The order of the matrix A.  N >= 0. */

/*  AP      (input/output) DOUBLE PRECISION array, dimension (N*(N+1)/2) */
/*          On entry, the triangular factor U or L from the Cholesky */
/*          factorization A = U**T*U or A = L*L**T, packed columnwise as */
/*          a linear array.  The j-th column of U or L is stored in the */
/*          array AP as follows: */
/*          if UPLO = 'U', AP(i + (j-1)*j/2) = U(i,j) for 1<=i<=j; */
/*          if UPLO = 'L', AP(i + (j-1)*(2n-j)/2) = L(i,j) for j<=i<=n. */

/*          On exit, the upper or lower triangle of the (symmetric) */
/*          inverse of A, overwriting the input factor U or L. */

/*  INFO    (output) INTEGER */
/*          = 0:  successful exit */
/*          < 0:  if INFO = -i, the i-th argument had an illegal value */
/*          > 0:  if INFO = i, the (i,i) element of the factor U or L is */
/*                zero, and the inverse could not be computed. */

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

/*     Test the input parameters. */

    /* Parameter adjustments */
    --ap;

    /* Function Body */
    *info = 0;
    upper = lsame_(uplo, "U");
    if (! upper && ! lsame_(uplo, "L")) {
	*info = -1;
    } else if (*n < 0) {
	*info = -2;
    }
    if (*info != 0) {
	i__1 = -(*info);
	xerbla_("DPPTRI", &i__1);
	return 0;
    }

/*     Quick return if possible */

    if (*n == 0) {
	return 0;
    }

/*     Invert the triangular Cholesky factor U or L. */

    dtptri_(uplo, "Non-unit", n, &ap[1], info);
    if (*info > 0) {
	return 0;
    }

    if (upper) {

/*        Compute the product inv(U) * inv(U)'. */

	jj = 0;
	i__1 = *n;
	for (j = 1; j <= i__1; ++j) {
	    jc = jj + 1;
	    jj += j;
	    if (j > 1) {
		i__2 = j - 1;
		dspr_("Upper", &i__2, &c_b8, &ap[jc], &c__1, &ap[1]);
	    }
	    ajj = ap[jj];
	    dscal_(&j, &ajj, &ap[jc], &c__1);
	}

    } else {

/*        Compute the product inv(L)' * inv(L). */

	jj = 1;
	i__1 = *n;
	for (j = 1; j <= i__1; ++j) {
	    jjn = jj + *n - j + 1;
	    i__2 = *n - j + 1;
	    ap[jj] = ddot_(&i__2, &ap[jj], &c__1, &ap[jj], &c__1);
	    if (j < *n) {
		i__2 = *n - j;
		dtpmv_("Lower", "Transpose", "Non-unit", &i__2, &ap[jjn], &ap[
			jj + 1], &c__1);
	    }
	    jj = jjn;
	}
    }

    return 0;

/*     End of DPPTRI */

} /* dpptri_ */
Exemple #2
0
/* Subroutine */
int dpptri_(char *uplo, integer *n, doublereal *ap, integer * info)
{
    /* System generated locals */
    integer i__1, i__2;
    /* Local variables */
    integer j, jc, jj;
    doublereal ajj;
    integer jjn;
    extern doublereal ddot_(integer *, doublereal *, integer *, doublereal *, integer *);
    extern /* Subroutine */
    int dspr_(char *, integer *, doublereal *, doublereal *, integer *, doublereal *), dscal_(integer *, doublereal *, doublereal *, integer *);
    extern logical lsame_(char *, char *);
    extern /* Subroutine */
    int dtpmv_(char *, char *, char *, integer *, doublereal *, doublereal *, integer *);
    logical upper;
    extern /* Subroutine */
    int xerbla_(char *, integer *), dtptri_( char *, char *, integer *, doublereal *, integer *);
    /* -- LAPACK computational routine (version 3.4.0) -- */
    /* -- LAPACK is a software package provided by Univ. of Tennessee, -- */
    /* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- */
    /* November 2011 */
    /* .. Scalar Arguments .. */
    /* .. */
    /* .. Array Arguments .. */
    /* .. */
    /* ===================================================================== */
    /* .. Parameters .. */
    /* .. */
    /* .. Local Scalars .. */
    /* .. */
    /* .. External Functions .. */
    /* .. */
    /* .. External Subroutines .. */
    /* .. */
    /* .. Executable Statements .. */
    /* Test the input parameters. */
    /* Parameter adjustments */
    --ap;
    /* Function Body */
    *info = 0;
    upper = lsame_(uplo, "U");
    if (! upper && ! lsame_(uplo, "L"))
    {
        *info = -1;
    }
    else if (*n < 0)
    {
        *info = -2;
    }
    if (*info != 0)
    {
        i__1 = -(*info);
        xerbla_("DPPTRI", &i__1);
        return 0;
    }
    /* Quick return if possible */
    if (*n == 0)
    {
        return 0;
    }
    /* Invert the triangular Cholesky factor U or L. */
    dtptri_(uplo, "Non-unit", n, &ap[1], info);
    if (*info > 0)
    {
        return 0;
    }
    if (upper)
    {
        /* Compute the product inv(U) * inv(U)**T. */
        jj = 0;
        i__1 = *n;
        for (j = 1;
                j <= i__1;
                ++j)
        {
            jc = jj + 1;
            jj += j;
            if (j > 1)
            {
                i__2 = j - 1;
                dspr_("Upper", &i__2, &c_b8, &ap[jc], &c__1, &ap[1]);
            }
            ajj = ap[jj];
            dscal_(&j, &ajj, &ap[jc], &c__1);
            /* L10: */
        }
    }
    else
    {
        /* Compute the product inv(L)**T * inv(L). */
        jj = 1;
        i__1 = *n;
        for (j = 1;
                j <= i__1;
                ++j)
        {
            jjn = jj + *n - j + 1;
            i__2 = *n - j + 1;
            ap[jj] = ddot_(&i__2, &ap[jj], &c__1, &ap[jj], &c__1);
            if (j < *n)
            {
                i__2 = *n - j;
                dtpmv_("Lower", "Transpose", "Non-unit", &i__2, &ap[jjn], &ap[ jj + 1], &c__1);
            }
            jj = jjn;
            /* L20: */
        }
    }
    return 0;
    /* End of DPPTRI */
}
Exemple #3
0
/* Subroutine */ int dchktp_(logical *dotype, integer *nn, integer *nval, 
	integer *nns, integer *nsval, doublereal *thresh, logical *tsterr, 
	integer *nmax, doublereal *ap, doublereal *ainvp, 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, type \002,i2,\002, test(\002,i2,\002)= \002,g1"
	    "2.5)";
    static char fmt_9998[] = "(\002 UPLO='\002,a1,\002', TRANS='\002,a1,\002"
	    "', DIAG='\002,a1,\002', N=\002,i5,\002', NRHS=\002,i5,\002, type "
	    "\002,i2,\002, test(\002,i2,\002)= \002,g12.5)";
    static char fmt_9997[] = "(1x,a,\002( '\002,a1,\002', '\002,a1,\002', "
	    "'\002,a1,\002',\002,i5,\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[2], i__3, i__4[3], i__5[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, in, lda, lap;
    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 *), dtpt01_(char *, char *, integer *, 
	    doublereal *, doublereal *, doublereal *, doublereal *, 
	    doublereal *), dtpt02_(char *, char *, char *, 
	    integer *, integer *, doublereal *, doublereal *, integer *, 
	    doublereal *, integer *, doublereal *, doublereal *), dtpt03_(char *, char *, char *, integer *, 
	    integer *, doublereal *, doublereal *, doublereal *, doublereal *, 
	     doublereal *, integer *, doublereal *, integer *, doublereal *, 
	    doublereal *), dtpt05_(char *, char *, 
	    char *, integer *, integer *, doublereal *, doublereal *, integer 
	    *, doublereal *, integer *, doublereal *, integer *, doublereal *, 
	     doublereal *, doublereal *), dtpt06_(
	    doublereal *, doublereal *, char *, char *, integer *, doublereal 
	    *, doublereal *, doublereal *);
    char trans[1];
    integer iuplo, nerrs;
    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 *);
    doublereal rcondi;
    extern /* Subroutine */ int dlarhs_(char *, char *, char *, char *, 
	    integer *, integer *, integer *, integer *, integer *, doublereal 
	    *, integer *, doublereal *, integer *, doublereal *, integer *, 
	    integer *, integer *);
    extern doublereal dlantp_(char *, char *, char *, integer *, doublereal *, 
	     doublereal *);
    doublereal rcondo;
    extern /* Subroutine */ int alasum_(char *, integer *, integer *, integer 
	    *, integer *), dlatps_(char *, char *, char *, char *, 
	    integer *, doublereal *, doublereal *, doublereal *, doublereal *, 
	     integer *);
    doublereal ainvnm;
    extern /* Subroutine */ int dlattp_(integer *, char *, char *, char *, 
	    integer *, integer *, doublereal *, doublereal *, doublereal *, 
	    integer *), dtpcon_(char *, char *, char *
, integer *, doublereal *, doublereal *, doublereal *, integer *, 
	    integer *), derrtr_(char *, integer *), dtprfs_(char *, char *, char *, integer *, integer *, 
	    doublereal *, doublereal *, integer *, doublereal *, integer *, 
	    doublereal *, doublereal *, doublereal *, integer *, integer *), dtptri_(char *, char *, integer *, 
	    doublereal *, integer *);
    doublereal result[9];
    extern /* Subroutine */ int dtptrs_(char *, char *, char *, integer *, 
	    integer *, doublereal *, doublereal *, integer *, integer *);

    /* Fortran I/O blocks */
    static cilist io___26 = { 0, 0, 0, fmt_9999, 0 };
    static cilist io___34 = { 0, 0, 0, fmt_9998, 0 };
    static cilist io___36 = { 0, 0, 0, fmt_9997, 0 };
    static cilist io___38 = { 0, 0, 0, fmt_9996, 0 };
    static cilist io___39 = { 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 */
/*  ======= */

/*  DCHKTP tests DTPTRI, -TRS, -RFS, and -CON, and DLATPS */

/*  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. */

/*  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 */
/*          maximumm value of N in NVAL. */

/*  AP      (workspace) DOUBLE PRECISION array, dimension */
/*                      (NMAX*(NMAX+1)/2) */

/*  AINVP   (workspace) DOUBLE PRECISION array, dimension */
/*                      (NMAX*(NMAX+1)/2) */

/*  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)) */

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

/*  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 */
    --iwork;
    --rwork;
    --work;
    --xact;
    --x;
    --b;
    --ainvp;
    --ap;
    --nsval;
    --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, "TP", (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;

    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);
	lap = lda * (lda + 1) / 2;
	*(unsigned char *)xtype = 'N';

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

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

	    if (! dotype[imat]) {
		goto L70;
	    }

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

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

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

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

		s_copy(srnamc_1.srnamt, "DLATTP", (ftnlen)32, (ftnlen)6);
		dlattp_(&imat, uplo, "No transpose", diag, iseed, &n, &ap[1], 
			&x[1], &work[1], &info);

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

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

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

		if (n > 0) {
		    dcopy_(&lap, &ap[1], &c__1, &ainvp[1], &c__1);
		}
		s_copy(srnamc_1.srnamt, "DTPTRI", (ftnlen)32, (ftnlen)6);
		dtptri_(uplo, diag, &n, &ainvp[1], &info);

/*              Check error code from DTPTRI. */

		if (info != 0) {
/* Writing concatenation */
		    i__2[0] = 1, a__1[0] = uplo;
		    i__2[1] = 1, a__1[1] = diag;
		    s_cat(ch__1, a__1, i__2, &c__2, (ftnlen)2);
		    alaerh_(path, "DTPTRI", &info, &c__0, ch__1, &n, &n, &
			    c_n1, &c_n1, &c_n1, &imat, &nfail, &nerrs, nout);
		}

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

		anorm = dlantp_("I", uplo, diag, &n, &ap[1], &rwork[1]);
		ainvnm = dlantp_("I", uplo, diag, &n, &ainvp[1], &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. */

		dtpt01_(uplo, diag, &n, &ap[1], &ainvp[1], &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___26.ciunit = *nout;
		    s_wsfe(&io___26);
		    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 *)&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;

		i__3 = *nns;
		for (irhs = 1; irhs <= i__3; ++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, &ap[1], &lap, &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, "DTPTRS", (ftnlen)32, (ftnlen)
				6);
			dtptrs_(uplo, trans, diag, &n, &nrhs, &ap[1], &x[1], &
				lda, &info);

/*                 Check error code from DTPTRS. */

			if (info != 0) {
/* Writing concatenation */
			    i__4[0] = 1, a__2[0] = uplo;
			    i__4[1] = 1, a__2[1] = trans;
			    i__4[2] = 1, a__2[2] = diag;
			    s_cat(ch__2, a__2, i__4, &c__3, (ftnlen)3);
			    alaerh_(path, "DTPTRS", &info, &c__0, ch__2, &n, &
				    n, &c_n1, &c_n1, &c_n1, &imat, &nfail, &
				    nerrs, nout);
			}

			dtpt02_(uplo, trans, diag, &n, &nrhs, &ap[1], &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, "DTPRFS", (ftnlen)32, (ftnlen)
				6);
			dtprfs_(uplo, trans, diag, &n, &nrhs, &ap[1], &b[1], &
				lda, &x[1], &lda, &rwork[1], &rwork[nrhs + 1], 
				 &work[1], &iwork[1], &info);

/*                 Check error code from DTPRFS. */

			if (info != 0) {
/* Writing concatenation */
			    i__4[0] = 1, a__2[0] = uplo;
			    i__4[1] = 1, a__2[1] = trans;
			    i__4[2] = 1, a__2[2] = diag;
			    s_cat(ch__2, a__2, i__4, &c__3, (ftnlen)3);
			    alaerh_(path, "DTPRFS", &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]);
			dtpt05_(uplo, trans, diag, &n, &nrhs, &ap[1], &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___34.ciunit = *nout;
				s_wsfe(&io___34);
				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, "DTPCON", (ftnlen)32, (ftnlen)6);
		    dtpcon_(norm, uplo, diag, &n, &ap[1], &rcond, &work[1], &
			    iwork[1], &info);

/*                 Check error code from DTPCON. */

		    if (info != 0) {
/* Writing concatenation */
			i__4[0] = 1, a__2[0] = norm;
			i__4[1] = 1, a__2[1] = uplo;
			i__4[2] = 1, a__2[2] = diag;
			s_cat(ch__2, a__2, i__4, &c__3, (ftnlen)3);
			alaerh_(path, "DTPCON", &info, &c__0, ch__2, &n, &n, &
				c_n1, &c_n1, &c_n1, &imat, &nfail, &nerrs, 
				nout);
		    }

		    dtpt06_(&rcond, &rcondc, uplo, diag, &n, &ap[1], &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___36.ciunit = *nout;
			s_wsfe(&io___36);
			do_fio(&c__1, "DTPCON", (ftnlen)6);
			do_fio(&c__1, norm, (ftnlen)1);
			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 *)&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:
	    ;
	}

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

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

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

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

	    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, or A**H. */

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

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

		    s_copy(srnamc_1.srnamt, "DLATTP", (ftnlen)32, (ftnlen)6);
		    dlattp_(&imat, uplo, trans, diag, iseed, &n, &ap[1], &x[1]
, &work[1], &info);

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

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

/*                 Check error code from DLATPS. */

		    if (info != 0) {
/* Writing concatenation */
			i__5[0] = 1, a__3[0] = uplo;
			i__5[1] = 1, a__3[1] = trans;
			i__5[2] = 1, a__3[2] = diag;
			i__5[3] = 1, a__3[3] = "N";
			s_cat(ch__3, a__3, i__5, &c__4, (ftnlen)4);
			alaerh_(path, "DLATPS", &info, &c__0, ch__3, &n, &n, &
				c_n1, &c_n1, &c_n1, &imat, &nfail, &nerrs, 
				nout);
		    }

		    dtpt03_(uplo, trans, diag, &n, &c__1, &ap[1], &scale, &
			    rwork[1], &c_b103, &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);
		    dlatps_(uplo, trans, diag, "Y", &n, &ap[1], &b[n + 1], &
			    scale, &rwork[1], &info);

/*                 Check error code from DLATPS. */

		    if (info != 0) {
/* Writing concatenation */
			i__5[0] = 1, a__3[0] = uplo;
			i__5[1] = 1, a__3[1] = trans;
			i__5[2] = 1, a__3[2] = diag;
			i__5[3] = 1, a__3[3] = "Y";
			s_cat(ch__3, a__3, i__5, &c__4, (ftnlen)4);
			alaerh_(path, "DLATPS", &info, &c__0, ch__3, &n, &n, &
				c_n1, &c_n1, &c_n1, &imat, &nfail, &nerrs, 
				nout);
		    }

		    dtpt03_(uplo, trans, diag, &n, &c__1, &ap[1], &scale, &
			    rwork[1], &c_b103, &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___38.ciunit = *nout;
			s_wsfe(&io___38);
			do_fio(&c__1, "DLATPS", (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___39.ciunit = *nout;
			s_wsfe(&io___39);
			do_fio(&c__1, "DLATPS", (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;
/* L80: */
		}
/* L90: */
	    }
L100:
	    ;
	}
/* L110: */
    }

/*     Print a summary of the results. */

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

    return 0;

/*     End of DCHKTP */

} /* dchktp_ */