#include "blaswrap.h"
/*  -- translated by f2c (version 19990503).
   You must link the resulting object file with the libraries:
	-lf2c -lm   (in that order)
*/

#include "f2c.h"

/* Common Block Declarations */

struct {
    integer infot, nunit;
    logical ok, lerr;
} infoc_;

#define infoc_1 infoc_

struct {
    char srnamt[6];
} srnamc_;

#define srnamc_1 srnamc_

/* Table of constant values */

static integer c__3 = 3;
static integer c__0 = 0;
static integer c_n1 = -1;
static integer c__1 = 1;
static integer c__2 = 2;
static integer c__7 = 7;
static doublereal c_b63 = 1.;
static doublereal c_b64 = 0.;

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

    static integer iseedy[4] = { 0,0,0,1 };
    static char transs[1*3] = "N" "T" "C";

    /* Format strings */
    static char fmt_9999[] = "(12x,\002N =\002,i5,\002,\002,10x,\002 type"
	    " \002,i2,\002, test(\002,i2,\002) = \002,g12.5)";
    static char fmt_9997[] = "(\002 NORM ='\002,a1,\002', N =\002,i5,\002"
	    ",\002,10x,\002 type \002,i2,\002, test(\002,i2,\002) = \002,g12."
	    "5)";
    static char fmt_9998[] = "(\002 TRANS='\002,a1,\002', N =\002,i5,\002, N"
	    "RHS=\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;
    doublereal d__1, d__2;

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

    /* Local variables */
    static doublereal cond;
    static integer mode, koff, imat, info;
    static char path[3], dist[1];
    static integer irhs, nrhs;
    static char norm[1], type__[1];
    static integer nrun, i__, j, k;
    extern /* Subroutine */ int alahd_(integer *, char *);
    static integer m, n;
    extern /* Subroutine */ int dscal_(integer *, doublereal *, doublereal *, 
	    integer *), dget04_(integer *, integer *, doublereal *, integer *,
	     doublereal *, integer *, doublereal *, doublereal *);
    static integer nfail, iseed[4];
    static doublereal z__[3];
    extern doublereal dget06_(doublereal *, doublereal *);
    extern /* Subroutine */ int dgtt01_(integer *, doublereal *, doublereal *,
	     doublereal *, doublereal *, doublereal *, doublereal *, 
	    doublereal *, integer *, doublereal *, integer *, doublereal *, 
	    doublereal *), dgtt02_(char *, integer *, integer *, doublereal *,
	     doublereal *, doublereal *, doublereal *, integer *, doublereal *
	    , integer *, doublereal *, doublereal *);
    static doublereal rcond;
    extern /* Subroutine */ int dgtt05_(char *, integer *, integer *, 
	    doublereal *, doublereal *, doublereal *, doublereal *, integer *,
	     doublereal *, integer *, doublereal *, integer *, doublereal *, 
	    doublereal *, doublereal *);
    static integer nimat;
    extern doublereal dasum_(integer *, doublereal *, integer *);
    static doublereal anorm;
    static integer itran;
    extern /* Subroutine */ int dcopy_(integer *, doublereal *, integer *, 
	    doublereal *, integer *);
    static char trans[1];
    static integer izero, nerrs;
    static logical zerot;
    extern /* Subroutine */ int dlatb4_(char *, integer *, integer *, integer 
	    *, char *, integer *, integer *, doublereal *, integer *, 
	    doublereal *, char *);
    static integer in, kl;
    extern /* Subroutine */ int alaerh_(char *, char *, integer *, integer *, 
	    char *, integer *, integer *, integer *, integer *, integer *, 
	    integer *, integer *, integer *, integer *);
    static integer ku, ix;
    static doublereal rcondc;
    extern doublereal dlangt_(char *, integer *, doublereal *, doublereal *, 
	    doublereal *);
    extern /* Subroutine */ int derrge_(char *, integer *), dlagtm_(
	    char *, integer *, integer *, doublereal *, doublereal *, 
	    doublereal *, doublereal *, doublereal *, integer *, doublereal *,
	     doublereal *, integer *), dlacpy_(char *, integer *, 
	    integer *, doublereal *, integer *, doublereal *, integer *);
    static doublereal rcondi;
    extern /* Subroutine */ int dgtcon_(char *, integer *, doublereal *, 
	    doublereal *, doublereal *, doublereal *, integer *, doublereal *,
	     doublereal *, doublereal *, integer *, integer *), 
	    alasum_(char *, integer *, integer *, integer *, integer *);
    static doublereal rcondo;
    extern /* Subroutine */ int dlatms_(integer *, integer *, char *, integer 
	    *, char *, doublereal *, integer *, doublereal *, doublereal *, 
	    integer *, integer *, char *, doublereal *, integer *, doublereal 
	    *, integer *), dlarnv_(integer *, integer 
	    *, integer *, doublereal *);
    static doublereal ainvnm;
    extern /* Subroutine */ int dgtrfs_(char *, integer *, integer *, 
	    doublereal *, doublereal *, doublereal *, doublereal *, 
	    doublereal *, doublereal *, doublereal *, integer *, doublereal *,
	     integer *, doublereal *, integer *, doublereal *, doublereal *, 
	    doublereal *, integer *, integer *), dgttrf_(integer *, 
	    doublereal *, doublereal *, doublereal *, doublereal *, integer *,
	     integer *);
    static logical trfcon;
    extern /* Subroutine */ int dgttrs_(char *, integer *, integer *, 
	    doublereal *, doublereal *, doublereal *, doublereal *, integer *,
	     doublereal *, integer *, integer *);
    static doublereal result[7];
    static integer lda;

    /* Fortran I/O blocks */
    static cilist io___29 = { 0, 0, 0, fmt_9999, 0 };
    static cilist io___39 = { 0, 0, 0, fmt_9997, 0 };
    static cilist io___44 = { 0, 0, 0, fmt_9998, 0 };



/*  -- LAPACK test routine (version 3.0) --   
       Univ. of Tennessee, Univ. of California Berkeley, NAG Ltd.,   
       Courant Institute, Argonne National Lab, and Rice University   
       June 30, 1999   


    Purpose   
    =======   

    DCHKGT tests DGTTRF, -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.   

    A       (workspace) DOUBLE PRECISION array, dimension (NMAX*4)   

    AF      (workspace) DOUBLE PRECISION array, dimension (NMAX*4)   

    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 (2*NMAX)   

    NOUT    (input) INTEGER   
            The unit number for output.   

    =====================================================================   

       Parameter adjustments */
    --iwork;
    --rwork;
    --work;
    --xact;
    --x;
    --b;
    --af;
    --a;
    --nsval;
    --nval;
    --dotype;

    /* Function Body */

    s_copy(path, "Double precision", (ftnlen)1, (ftnlen)16);
    s_copy(path + 1, "GT", (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) {
	derrge_(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];
/* Computing MAX */
	i__2 = n - 1;
	m = max(i__2,0);
	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 (! dotype[imat]) {
		goto L100;
	    }

/*           Set up parameters with DLATB4. */

	    dlatb4_(path, &imat, &n, &n, type__, &kl, &ku, &anorm, &mode, &
		    cond, dist);

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

/*              Types 1-6:  generate matrices of known condition number.   

   Computing MAX */
		i__3 = 2 - ku, i__4 = 3 - max(1,n);
		koff = max(i__3,i__4);
		s_copy(srnamc_1.srnamt, "DLATMS", (ftnlen)6, (ftnlen)6);
		dlatms_(&n, &n, dist, iseed, type__, &rwork[1], &mode, &cond, 
			&anorm, &kl, &ku, "Z", &af[koff], &c__3, &work[1], &
			info);

/*              Check the error code from DLATMS. */

		if (info != 0) {
		    alaerh_(path, "DLATMS", &info, &c__0, " ", &n, &n, &kl, &
			    ku, &c_n1, &imat, &nfail, &nerrs, nout);
		    goto L100;
		}
		izero = 0;

		if (n > 1) {
		    i__3 = n - 1;
		    dcopy_(&i__3, &af[4], &c__3, &a[1], &c__1);
		    i__3 = n - 1;
		    dcopy_(&i__3, &af[3], &c__3, &a[n + m + 1], &c__1);
		}
		dcopy_(&n, &af[2], &c__3, &a[m + 1], &c__1);
	    } else {

/*              Types 7-12:  generate tridiagonal matrices with   
                unknown condition numbers. */

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

/*                 Generate a matrix with elements from [-1,1]. */

		    i__3 = n + (m << 1);
		    dlarnv_(&c__2, iseed, &i__3, &a[1]);
		    if (anorm != 1.) {
			i__3 = n + (m << 1);
			dscal_(&i__3, &anorm, &a[1], &c__1);
		    }
		} else if (izero > 0) {

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

		    if (izero == 1) {
			a[n] = z__[1];
			if (n > 1) {
			    a[1] = z__[2];
			}
		    } else if (izero == n) {
			a[n * 3 - 2] = z__[0];
			a[(n << 1) - 1] = z__[1];
		    } else {
			a[(n << 1) - 2 + izero] = z__[0];
			a[n - 1 + izero] = z__[1];
			a[izero] = z__[2];
		    }
		}

/*              If IMAT > 7, set one column of the matrix to 0. */

		if (! zerot) {
		    izero = 0;
		} else if (imat == 8) {
		    izero = 1;
		    z__[1] = a[n];
		    a[n] = 0.;
		    if (n > 1) {
			z__[2] = a[1];
			a[1] = 0.;
		    }
		} else if (imat == 9) {
		    izero = n;
		    z__[0] = a[n * 3 - 2];
		    z__[1] = a[(n << 1) - 1];
		    a[n * 3 - 2] = 0.;
		    a[(n << 1) - 1] = 0.;
		} else {
		    izero = (n + 1) / 2;
		    i__3 = n - 1;
		    for (i__ = izero; i__ <= i__3; ++i__) {
			a[(n << 1) - 2 + i__] = 0.;
			a[n - 1 + i__] = 0.;
			a[i__] = 0.;
/* L20: */
		    }
		    a[n * 3 - 2] = 0.;
		    a[(n << 1) - 1] = 0.;
		}
	    }

/* +    TEST 1   
             Factor A as L*U and compute the ratio   
                norm(L*U - A) / (n * norm(A) * EPS ) */

	    i__3 = n + (m << 1);
	    dcopy_(&i__3, &a[1], &c__1, &af[1], &c__1);
	    s_copy(srnamc_1.srnamt, "DGTTRF", (ftnlen)6, (ftnlen)6);
	    dgttrf_(&n, &af[1], &af[m + 1], &af[n + m + 1], &af[n + (m << 1) 
		    + 1], &iwork[1], &info);

/*           Check error code from DGTTRF. */

	    if (info != izero) {
		alaerh_(path, "DGTTRF", &info, &izero, " ", &n, &n, &c__1, &
			c__1, &c_n1, &imat, &nfail, &nerrs, nout);
	    }
	    trfcon = info != 0;

	    dgtt01_(&n, &a[1], &a[m + 1], &a[n + m + 1], &af[1], &af[m + 1], &
		    af[n + m + 1], &af[n + (m << 1) + 1], &iwork[1], &work[1],
		     &lda, &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___29.ciunit = *nout;
		s_wsfe(&io___29);
		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;

	    for (itran = 1; itran <= 2; ++itran) {
		*(unsigned char *)trans = *(unsigned char *)&transs[itran - 1]
			;
		if (itran == 1) {
		    *(unsigned char *)norm = 'O';
		} else {
		    *(unsigned char *)norm = 'I';
		}
		anorm = dlangt_(norm, &n, &a[1], &a[m + 1], &a[n + m + 1]);

		if (! trfcon) {

/*                 Use DGTTRS to solve for one column at a time of inv(A)   
                   or inv(A^T), 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) {
			    x[j] = 0.;
/* L30: */
			}
			x[i__] = 1.;
			dgttrs_(trans, &n, &c__1, &af[1], &af[m + 1], &af[n + 
				m + 1], &af[n + (m << 1) + 1], &iwork[1], &x[
				1], &lda, &info);
/* Computing MAX */
			d__1 = ainvnm, d__2 = dasum_(&n, &x[1], &c__1);
			ainvnm = max(d__1,d__2);
/* L40: */
		    }

/*                 Compute RCONDC = 1 / (norm(A) * norm(inv(A)) */

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

/* +    TEST 7   
                Estimate the reciprocal of the condition number of the   
                matrix. */

		s_copy(srnamc_1.srnamt, "DGTCON", (ftnlen)6, (ftnlen)6);
		dgtcon_(norm, &n, &af[1], &af[m + 1], &af[n + m + 1], &af[n + 
			(m << 1) + 1], &iwork[1], &anorm, &rcond, &work[1], &
			iwork[n + 1], &info);

/*              Check error code from DGTCON. */

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

		result[6] = dget06_(&rcond, &rcondc);

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

		if (result[6] >= *thresh) {
		    if (nfail == 0 && nerrs == 0) {
			alahd_(nout, path);
		    }
		    io___39.ciunit = *nout;
		    s_wsfe(&io___39);
		    do_fio(&c__1, norm, (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: */
	    }

/*           Skip the remaining tests if the matrix is singular. */

	    if (trfcon) {
		goto L100;
	    }

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

/*              Generate NRHS random solution vectors. */

		ix = 1;
		i__4 = nrhs;
		for (j = 1; j <= i__4; ++j) {
		    dlarnv_(&c__2, iseed, &n, &xact[ix]);
		    ix += lda;
/* L60: */
		}

		for (itran = 1; itran <= 3; ++itran) {
		    *(unsigned char *)trans = *(unsigned char *)&transs[itran 
			    - 1];
		    if (itran == 1) {
			rcondc = rcondo;
		    } else {
			rcondc = rcondi;
		    }

/*                 Set the right hand side. */

		    dlagtm_(trans, &n, &nrhs, &c_b63, &a[1], &a[m + 1], &a[n 
			    + m + 1], &xact[1], &lda, &c_b64, &b[1], &lda);

/* +    TEST 2   
                   Solve op(A) * X = B and compute the residual. */

		    dlacpy_("Full", &n, &nrhs, &b[1], &lda, &x[1], &lda);
		    s_copy(srnamc_1.srnamt, "DGTTRS", (ftnlen)6, (ftnlen)6);
		    dgttrs_(trans, &n, &nrhs, &af[1], &af[m + 1], &af[n + m + 
			    1], &af[n + (m << 1) + 1], &iwork[1], &x[1], &lda,
			     &info);

/*                 Check error code from DGTTRS. */

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

		    dlacpy_("Full", &n, &nrhs, &b[1], &lda, &work[1], &lda);
		    dgtt02_(trans, &n, &nrhs, &a[1], &a[m + 1], &a[n + m + 1],
			     &x[1], &lda, &work[1], &lda, &rwork[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. */

		    s_copy(srnamc_1.srnamt, "DGTRFS", (ftnlen)6, (ftnlen)6);
		    dgtrfs_(trans, &n, &nrhs, &a[1], &a[m + 1], &a[n + m + 1],
			     &af[1], &af[m + 1], &af[n + m + 1], &af[n + (m <<
			     1) + 1], &iwork[1], &b[1], &lda, &x[1], &lda, &
			    rwork[1], &rwork[nrhs + 1], &work[1], &iwork[n + 
			    1], &info);

/*                 Check error code from DGTRFS. */

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

		    dget04_(&n, &nrhs, &x[1], &lda, &xact[1], &lda, &rcondc, &
			    result[3]);
		    dgtt05_(trans, &n, &nrhs, &a[1], &a[m + 1], &a[n + m + 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___44.ciunit = *nout;
			    s_wsfe(&io___44);
			    do_fio(&c__1, trans, (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: */
		}
/* L90: */
	    }

L100:
	    ;
	}
/* L110: */
    }

/*     Print a summary of the results. */

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

    return 0;

/*     End of DCHKGT */

} /* dchkgt_ */

