Example #1
0
/* Subroutine */ int cchkpo_(logical *dotype, integer *nn, integer *nval, 
	integer *nnb, integer *nbval, integer *nns, integer *nsval, real *
	thresh, logical *tsterr, integer *nmax, complex *a, complex *afac, 
	complex *ainv, complex *b, complex *x, complex *xact, complex *work, 
	real *rwork, integer *nout)
{
    /* Initialized data */

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

    /* Format strings */
    static char fmt_9999[] = "(\002 UPLO = '\002,a1,\002', N =\002,i5,\002, "
	    "NB =\002,i4,\002, type \002,i2,\002, test \002,i2,\002, ratio "
	    "=\002,g12.5)";
    static char fmt_9998[] = "(\002 UPLO = '\002,a1,\002', N =\002,i5,\002, "
	    "NRHS=\002,i3,\002, type \002,i2,\002, test(\002,i2,\002) =\002,g"
	    "12.5)";
    static char fmt_9997[] = "(\002 UPLO = '\002,a1,\002', N =\002,i5,\002"
	    ",\002,10x,\002 type \002,i2,\002, test(\002,i2,\002) =\002,g12.5)"
	    ;

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

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

    /* Fortran I/O blocks */
    static cilist io___33 = { 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 };



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

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

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

/*  CCHKPO tests CPOTRF, -TRI, -TRS, -RFS, and -CON */

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

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

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

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

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

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

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

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

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

/*  AFAC    (workspace) COMPLEX array, dimension (NMAX*NMAX) */

/*  AINV    (workspace) COMPLEX array, dimension (NMAX*NMAX) */

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

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

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

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

/*  RWORK   (workspace) REAL array, dimension */
/*                      (NMAX+2*NSMAX) */

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

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

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

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

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

    s_copy(path, "Complex precision", (ftnlen)1, (ftnlen)17);
    s_copy(path + 1, "PO", (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) {
	cerrpo_(path, nout);
    }
    infoc_1.infot = 0;

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

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

	izero = 0;
	i__2 = nimat;
	for (imat = 1; imat <= i__2; ++imat) {

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

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

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

	    zerot = imat >= 3 && imat <= 5;
	    if (zerot && n < imat - 2) {
		goto L110;
	    }

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

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

/*              Set up parameters with CLATB4 and generate a test matrix */
/*              with CLATMS. */

		clatb4_(path, &imat, &n, &n, type__, &kl, &ku, &anorm, &mode, 
			&cndnum, dist);

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

/*              Check error code from CLATMS. */

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

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

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

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

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

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

		i__3 = lda + 1;
		claipd_(&n, &a[1], &i__3, &c__0);

/*              Do for each value of NB in NBVAL */

		i__3 = *nnb;
		for (inb = 1; inb <= i__3; ++inb) {
		    nb = nbval[inb];
		    xlaenv_(&c__1, &nb);

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

		    clacpy_(uplo, &n, &n, &a[1], &lda, &afac[1], &lda);
		    s_copy(srnamc_1.srnamt, "CPOTRF", (ftnlen)32, (ftnlen)6);
		    cpotrf_(uplo, &n, &afac[1], &lda, &info);

/*                 Check error code from CPOTRF. */

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

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

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

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

		    clacpy_(uplo, &n, &n, &afac[1], &lda, &ainv[1], &lda);
		    cpot01_(uplo, &n, &a[1], &lda, &ainv[1], &lda, &rwork[1], 
			    result);

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

		    clacpy_(uplo, &n, &n, &afac[1], &lda, &ainv[1], &lda);
		    s_copy(srnamc_1.srnamt, "CPOTRI", (ftnlen)32, (ftnlen)6);
		    cpotri_(uplo, &n, &ainv[1], &lda, &info);

/*                 Check error code from CPOTRI. */

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

		    cpot03_(uplo, &n, &a[1], &lda, &ainv[1], &lda, &work[1], &
			    lda, &rwork[1], &rcondc, &result[1]);

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

		    for (k = 1; k <= 2; ++k) {
			if (result[k - 1] >= *thresh) {
			    if (nfail == 0 && nerrs == 0) {
				alahd_(nout, path);
			    }
			    io___33.ciunit = *nout;
			    s_wsfe(&io___33);
			    do_fio(&c__1, uplo, (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 *)&k, (ftnlen)sizeof(integer))
				    ;
			    do_fio(&c__1, (char *)&result[k - 1], (ftnlen)
				    sizeof(real));
			    e_wsfe();
			    ++nfail;
			}
/* L60: */
		    }
		    nrun += 2;

/*                 Skip the rest of the tests unless this is the first */
/*                 blocksize. */

		    if (inb != 1) {
			goto L90;
		    }

		    i__4 = *nns;
		    for (irhs = 1; irhs <= i__4; ++irhs) {
			nrhs = nsval[irhs];

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

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

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

/*                 Check error code from CPOTRS. */

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

			clacpy_("Full", &n, &nrhs, &b[1], &lda, &work[1], &
				lda);
			cpot02_(uplo, &n, &nrhs, &a[1], &lda, &x[1], &lda, &
				work[1], &lda, &rwork[1], &result[2]);

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

			cget04_(&n, &nrhs, &x[1], &lda, &xact[1], &lda, &
				rcondc, &result[3]);

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

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

/*                 Check error code from CPORFS. */

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

			cget04_(&n, &nrhs, &x[1], &lda, &xact[1], &lda, &
				rcondc, &result[4]);
			cpot05_(uplo, &n, &nrhs, &a[1], &lda, &b[1], &lda, &x[
				1], &lda, &xact[1], &lda, &rwork[1], &rwork[
				nrhs + 1], &result[5]);

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

			for (k = 3; k <= 7; ++k) {
			    if (result[k - 1] >= *thresh) {
				if (nfail == 0 && nerrs == 0) {
				    alahd_(nout, path);
				}
				io___36.ciunit = *nout;
				s_wsfe(&io___36);
				do_fio(&c__1, uplo, (ftnlen)1);
				do_fio(&c__1, (char *)&n, (ftnlen)sizeof(
					integer));
				do_fio(&c__1, (char *)&nrhs, (ftnlen)sizeof(
					integer));
				do_fio(&c__1, (char *)&imat, (ftnlen)sizeof(
					integer));
				do_fio(&c__1, (char *)&k, (ftnlen)sizeof(
					integer));
				do_fio(&c__1, (char *)&result[k - 1], (ftnlen)
					sizeof(real));
				e_wsfe();
				++nfail;
			    }
/* L70: */
			}
			nrun += 5;
/* L80: */
		    }

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

		    anorm = clanhe_("1", uplo, &n, &a[1], &lda, &rwork[1]);
		    s_copy(srnamc_1.srnamt, "CPOCON", (ftnlen)32, (ftnlen)6);
		    cpocon_(uplo, &n, &afac[1], &lda, &anorm, &rcond, &work[1]
, &rwork[1], &info);

/*                 Check error code from CPOCON. */

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

		    result[7] = sget06_(&rcond, &rcondc);

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

		    if (result[7] >= *thresh) {
			if (nfail == 0 && nerrs == 0) {
			    alahd_(nout, path);
			}
			io___38.ciunit = *nout;
			s_wsfe(&io___38);
			do_fio(&c__1, uplo, (ftnlen)1);
			do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer));
			do_fio(&c__1, (char *)&imat, (ftnlen)sizeof(integer));
			do_fio(&c__1, (char *)&c__8, (ftnlen)sizeof(integer));
			do_fio(&c__1, (char *)&result[7], (ftnlen)sizeof(real)
				);
			e_wsfe();
			++nfail;
		    }
		    ++nrun;
L90:
		    ;
		}
L100:
		;
	    }
L110:
	    ;
	}
/* L120: */
    }

/*     Print a summary of the results. */

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

    return 0;

/*     End of CCHKPO */

} /* cchkpo_ */
Example #2
0
/* Subroutine */ int cchkhe_(logical *dotype, integer *nn, integer *nval, 
	integer *nnb, integer *nbval, integer *nns, integer *nsval, real *
	thresh, logical *tsterr, integer *nmax, complex *a, complex *afac, 
	complex *ainv, complex *b, complex *x, complex *xact, complex *work, 
	real *rwork, integer *iwork, integer *nout)
{
    /* Initialized data */

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

    /* Format strings */
    static char fmt_9999[] = "(\002 UPLO = '\002,a1,\002', N =\002,i5,\002, "
	    "NB =\002,i4,\002, type \002,i2,\002, test \002,i2,\002, ratio "
	    "=\002,g12.5)";
    static char fmt_9998[] = "(\002 UPLO = '\002,a1,\002', N =\002,i5,\002, "
	    "NRHS=\002,i3,\002, type \002,i2,\002, test(\002,i2,\002) =\002,g"
	    "12.5)";
    static char fmt_9997[] = "(\002 UPLO = '\002,a1,\002', N =\002,i5,\002"
	    ",\002,10x,\002 type \002,i2,\002, test(\002,i2,\002) =\002,g12.5)"
	    ;

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

    /* 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 integer ioff, mode, imat, info;
    static char path[3], dist[1];
    static integer irhs, nrhs;
    static char uplo[1], type__[1];
    static integer nrun, i__, j, k;
    extern /* Subroutine */ int alahd_(integer *, char *);
    static integer n;
    extern /* Subroutine */ int chet01_(char *, integer *, complex *, integer 
	    *, complex *, integer *, integer *, complex *, integer *, real *, 
	    real *), cget04_(integer *, integer *, complex *, integer 
	    *, complex *, integer *, real *, real *);
    static integer nfail, iseed[4];
    static real rcond;
    extern /* Subroutine */ int cpot02_(char *, integer *, integer *, complex 
	    *, integer *, complex *, integer *, complex *, integer *, real *, 
	    real *);
    static integer nimat;
    extern doublereal sget06_(real *, real *);
    extern /* Subroutine */ int cpot03_(char *, integer *, complex *, integer 
	    *, complex *, integer *, complex *, integer *, real *, real *, 
	    real *), cpot05_(char *, integer *, integer *, complex *, 
	    integer *, complex *, integer *, complex *, integer *, complex *, 
	    integer *, real *, real *, real *);
    static real anorm;
    static integer iuplo, izero, i1, i2, nerrs, lwork;
    static logical zerot;
    static char xtype[1];
    extern /* Subroutine */ int clatb4_(char *, integer *, integer *, integer 
	    *, char *, integer *, integer *, real *, integer *, real *, char *
	    );
    static integer nb, in, kl;
    extern doublereal clanhe_(char *, char *, integer *, complex *, integer *,
	     real *);
    extern /* Subroutine */ int alaerh_(char *, char *, integer *, integer *, 
	    char *, integer *, integer *, integer *, integer *, integer *, 
	    integer *, integer *, integer *, integer *), claipd_(integer *, complex *, integer *, integer *), 
	    checon_(char *, integer *, complex *, integer *, integer *, real *
	    , real *, complex *, integer *);
    static integer ku, nt;
    static real rcondc;
    extern /* Subroutine */ int cerrhe_(char *, integer *), cherfs_(
	    char *, integer *, integer *, complex *, integer *, complex *, 
	    integer *, integer *, complex *, integer *, complex *, integer *, 
	    real *, real *, complex *, real *, integer *), chetrf_(
	    char *, integer *, complex *, integer *, integer *, complex *, 
	    integer *, integer *), clacpy_(char *, integer *, integer 
	    *, complex *, integer *, complex *, integer *), clarhs_(
	    char *, char *, char *, char *, integer *, integer *, integer *, 
	    integer *, integer *, complex *, integer *, complex *, integer *, 
	    complex *, integer *, integer *, integer *), chetri_(char *, integer *, complex *, integer *, 
	    integer *, complex *, integer *), alasum_(char *, integer 
	    *, integer *, integer *, integer *);
    static real cndnum;
    extern /* Subroutine */ int clatms_(integer *, integer *, char *, integer 
	    *, char *, real *, integer *, real *, real *, integer *, integer *
	    , char *, complex *, integer *, complex *, integer *), chetrs_(char *, integer *, integer *, complex *, 
	    integer *, integer *, complex *, integer *, integer *);
    static logical trfcon;
    extern /* Subroutine */ int xlaenv_(integer *, integer *);
    static real result[8];
    static integer lda, inb;

    /* Fortran I/O blocks */
    static cilist io___39 = { 0, 0, 0, fmt_9999, 0 };
    static cilist io___42 = { 0, 0, 0, fmt_9998, 0 };
    static cilist io___44 = { 0, 0, 0, fmt_9997, 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   
    =======   

    CCHKHE tests CHETRF, -TRI, -TRS, -RFS, and -CON.   

    Arguments   
    =========   

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

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

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

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

    NBVAL   (input) INTEGER array, dimension (NBVAL)   
            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) REAL   
            The threshold value for the test ratios.  A result is   
            included in the output file if RESULT >= THRESH.  To have   
            every test ratio printed, use THRESH = 0.   

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

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

    A       (workspace) COMPLEX array, dimension (NMAX*NMAX)   

    AFAC    (workspace) COMPLEX array, dimension (NMAX*NMAX)   

    AINV    (workspace) COMPLEX array, dimension (NMAX*NMAX)   

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

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

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

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

    RWORK   (workspace) REAL array, dimension   
                        (max(NMAX,2*NSMAX))   

    IWORK   (workspace) INTEGER array, dimension (NMAX)   

    NOUT    (input) INTEGER   
            The unit number for output.   

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

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

    /* Function Body   

       Initialize constants and the random number seed. */

    s_copy(path, "Complex precision", (ftnlen)1, (ftnlen)17);
    s_copy(path + 1, "HE", (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) {
	cerrhe_(path, nout);
    }
    infoc_1.infot = 0;

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

    i__1 = *nn;
    for (in = 1; in <= i__1; ++in) {
	n = nval[in];
	lda = max(n,1);
	*(unsigned char *)xtype = 'N';
	nimat = 10;
	if (n <= 0) {
	    nimat = 1;
	}

	izero = 0;
	i__2 = nimat;
	for (imat = 1; imat <= i__2; ++imat) {

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

	    if (! dotype[imat]) {
		goto L170;
	    }

/*           Skip types 3, 4, 5, or 6 if the matrix size is too small. */

	    zerot = imat >= 3 && imat <= 6;
	    if (zerot && n < imat - 2) {
		goto L170;
	    }

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

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

/*              Set up parameters with CLATB4 and generate a test matrix   
                with CLATMS. */

		clatb4_(path, &imat, &n, &n, type__, &kl, &ku, &anorm, &mode, 
			&cndnum, dist);

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

/*              Check error code from CLATMS. */

		if (info != 0) {
		    alaerh_(path, "CLATMS", &info, &c__0, uplo, &n, &n, &c_n1,
			     &c_n1, &c_n1, &imat, &nfail, &nerrs, nout);
		    goto L160;
		}

/*              For types 3-6, zero one or more rows and columns of   
                the matrix to test that INFO is returned correctly. */

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

		    if (imat < 6) {

/*                    Set row and column IZERO to zero. */

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

/*                       Set the first IZERO rows and columns to zero. */

			    i__3 = n;
			    for (j = 1; j <= i__3; ++j) {
				i2 = min(j,izero);
				i__4 = i2;
				for (i__ = 1; i__ <= i__4; ++i__) {
				    i__5 = ioff + i__;
				    a[i__5].r = 0.f, a[i__5].i = 0.f;
/* L60: */
				}
				ioff += lda;
/* L70: */
			    }
			} else {

/*                       Set the last IZERO rows and columns to zero. */

			    i__3 = n;
			    for (j = 1; j <= i__3; ++j) {
				i1 = max(j,izero);
				i__4 = n;
				for (i__ = i1; i__ <= i__4; ++i__) {
				    i__5 = ioff + i__;
				    a[i__5].r = 0.f, a[i__5].i = 0.f;
/* L80: */
				}
				ioff += lda;
/* L90: */
			    }
			}
		    }
		} else {
		    izero = 0;
		}

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

		i__3 = lda + 1;
		claipd_(&n, &a[1], &i__3, &c__0);

/*              Do for each value of NB in NBVAL */

		i__3 = *nnb;
		for (inb = 1; inb <= i__3; ++inb) {
		    nb = nbval[inb];
		    xlaenv_(&c__1, &nb);

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

		    clacpy_(uplo, &n, &n, &a[1], &lda, &afac[1], &lda);
		    lwork = max(2,nb) * lda;
		    s_copy(srnamc_1.srnamt, "CHETRF", (ftnlen)6, (ftnlen)6);
		    chetrf_(uplo, &n, &afac[1], &lda, &iwork[1], &ainv[1], &
			    lwork, &info);

/*                 Adjust the expected value of INFO to account for   
                   pivoting. */

		    k = izero;
		    if (k > 0) {
L100:
			if (iwork[k] < 0) {
			    if (iwork[k] != -k) {
				k = -iwork[k];
				goto L100;
			    }
			} else if (iwork[k] != k) {
			    k = iwork[k];
			    goto L100;
			}
		    }

/*                 Check error code from CHETRF. */

		    if (info != k) {
			alaerh_(path, "CHETRF", &info, &k, uplo, &n, &n, &
				c_n1, &c_n1, &nb, &imat, &nfail, &nerrs, nout);
		    }
		    if (info != 0) {
			trfcon = TRUE_;
		    } else {
			trfcon = FALSE_;
		    }

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

		    chet01_(uplo, &n, &a[1], &lda, &afac[1], &lda, &iwork[1], 
			    &ainv[1], &lda, &rwork[1], result);
		    nt = 1;

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

		    if (inb == 1 && ! trfcon) {
			clacpy_(uplo, &n, &n, &afac[1], &lda, &ainv[1], &lda);
			s_copy(srnamc_1.srnamt, "CHETRI", (ftnlen)6, (ftnlen)
				6);
			chetri_(uplo, &n, &ainv[1], &lda, &iwork[1], &work[1],
				 &info);

/*                 Check error code from CHETRI. */

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

			cpot03_(uplo, &n, &a[1], &lda, &ainv[1], &lda, &work[
				1], &lda, &rwork[1], &rcondc, &result[1]);
			nt = 2;
		    }

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

		    i__4 = nt;
		    for (k = 1; k <= i__4; ++k) {
			if (result[k - 1] >= *thresh) {
			    if (nfail == 0 && nerrs == 0) {
				alahd_(nout, path);
			    }
			    io___39.ciunit = *nout;
			    s_wsfe(&io___39);
			    do_fio(&c__1, uplo, (ftnlen)1);
			    do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer))
				    ;
			    do_fio(&c__1, (char *)&nb, (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(real));
			    e_wsfe();
			    ++nfail;
			}
/* L110: */
		    }
		    nrun += nt;

/*                 Skip the other tests if this is not the first block   
                   size. */

		    if (inb > 1) {
			goto L150;
		    }

/*                 Do only the condition estimate if INFO is not 0. */

		    if (trfcon) {
			rcondc = 0.f;
			goto L140;
		    }

		    i__4 = *nns;
		    for (irhs = 1; irhs <= i__4; ++irhs) {
			nrhs = nsval[irhs];

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

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

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

/*                 Check error code from CHETRS. */

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

			clacpy_("Full", &n, &nrhs, &b[1], &lda, &work[1], &
				lda);
			cpot02_(uplo, &n, &nrhs, &a[1], &lda, &x[1], &lda, &
				work[1], &lda, &rwork[1], &result[2]);

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

			cget04_(&n, &nrhs, &x[1], &lda, &xact[1], &lda, &
				rcondc, &result[3]);

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

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

/*                 Check error code from CHERFS. */

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

			cget04_(&n, &nrhs, &x[1], &lda, &xact[1], &lda, &
				rcondc, &result[4]);
			cpot05_(uplo, &n, &nrhs, &a[1], &lda, &b[1], &lda, &x[
				1], &lda, &xact[1], &lda, &rwork[1], &rwork[
				nrhs + 1], &result[5]);

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

			for (k = 3; k <= 7; ++k) {
			    if (result[k - 1] >= *thresh) {
				if (nfail == 0 && nerrs == 0) {
				    alahd_(nout, path);
				}
				io___42.ciunit = *nout;
				s_wsfe(&io___42);
				do_fio(&c__1, uplo, (ftnlen)1);
				do_fio(&c__1, (char *)&n, (ftnlen)sizeof(
					integer));
				do_fio(&c__1, (char *)&nrhs, (ftnlen)sizeof(
					integer));
				do_fio(&c__1, (char *)&imat, (ftnlen)sizeof(
					integer));
				do_fio(&c__1, (char *)&k, (ftnlen)sizeof(
					integer));
				do_fio(&c__1, (char *)&result[k - 1], (ftnlen)
					sizeof(real));
				e_wsfe();
				++nfail;
			    }
/* L120: */
			}
			nrun += 5;
/* L130: */
		    }

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

L140:
		    anorm = clanhe_("1", uplo, &n, &a[1], &lda, &rwork[1]);
		    s_copy(srnamc_1.srnamt, "CHECON", (ftnlen)6, (ftnlen)6);
		    checon_(uplo, &n, &afac[1], &lda, &iwork[1], &anorm, &
			    rcond, &work[1], &info);

/*                 Check error code from CHECON. */

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

		    result[7] = sget06_(&rcond, &rcondc);

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

		    if (result[7] >= *thresh) {
			if (nfail == 0 && nerrs == 0) {
			    alahd_(nout, path);
			}
			io___44.ciunit = *nout;
			s_wsfe(&io___44);
			do_fio(&c__1, uplo, (ftnlen)1);
			do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer));
			do_fio(&c__1, (char *)&imat, (ftnlen)sizeof(integer));
			do_fio(&c__1, (char *)&c__8, (ftnlen)sizeof(integer));
			do_fio(&c__1, (char *)&result[7], (ftnlen)sizeof(real)
				);
			e_wsfe();
			++nfail;
		    }
		    ++nrun;
L150:
		    ;
		}
L160:
		;
	    }
L170:
	    ;
	}
/* L180: */
    }

/*     Print a summary of the results. */

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

    return 0;

/*     End of CCHKHE */

} /* cchkhe_ */