#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__0 = 0;
static integer c_n1 = -1;
static integer c__1 = 1;
static integer c__8 = 8;

/* Subroutine */ int schksp_(logical *dotype, integer *nn, integer *nval, 
	integer *nns, integer *nsval, real *thresh, logical *tsterr, integer *
	nmax, real *a, real *afac, real *ainv, real *b, real *x, real *xact, 
	real *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, "
	    "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)";

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

    /* 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, nfail, iseed[4];
    extern logical lsame_(char *, char *);
    static real rcond;
    extern /* Subroutine */ int sget04_(integer *, integer *, real *, integer 
	    *, real *, integer *, real *, real *);
    static integer nimat;
    extern doublereal sget06_(real *, real *);
    static real anorm;
    static integer iuplo, izero, i1, i2, nerrs;
    extern /* Subroutine */ int scopy_(integer *, real *, integer *, real *, 
	    integer *), sppt02_(char *, integer *, integer *, real *, real *, 
	    integer *, real *, integer *, real *, real *), sppt03_(
	    char *, integer *, real *, real *, real *, integer *, real *, 
	    real *, real *), sppt05_(char *, integer *, integer *, 
	    real *, real *, integer *, real *, integer *, real *, integer *, 
	    real *, real *, real *);
    static logical zerot;
    extern /* Subroutine */ int sspt01_(char *, integer *, real *, real *, 
	    integer *, real *, integer *, real *, real *);
    static char xtype[1];
    extern /* Subroutine */ int slatb4_(char *, integer *, integer *, integer 
	    *, char *, integer *, integer *, real *, integer *, real *, 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, nt;
    static real rcondc;
    static char packit[1];
    extern /* Subroutine */ int alasum_(char *, integer *, integer *, integer 
	    *, integer *);
    static real cndnum;
    static logical trfcon;
    extern /* Subroutine */ int slacpy_(char *, integer *, integer *, real *, 
	    integer *, real *, integer *), slarhs_(char *, char *, 
	    char *, char *, integer *, integer *, integer *, integer *, 
	    integer *, real *, integer *, real *, integer *, real *, integer *
	    , integer *, integer *);
    extern doublereal slansp_(char *, char *, integer *, real *, real *);
    extern /* Subroutine */ int slatms_(integer *, integer *, char *, integer 
	    *, char *, real *, integer *, real *, real *, integer *, integer *
	    , char *, real *, integer *, real *, integer *), sspcon_(char *, integer *, real *, integer *, real *, 
	    real *, real *, integer *, integer *);
    static real result[8];
    extern /* Subroutine */ int ssprfs_(char *, integer *, integer *, real *, 
	    real *, integer *, real *, integer *, real *, integer *, real *, 
	    real *, real *, integer *, integer *), ssptrf_(char *, 
	    integer *, real *, integer *, integer *), ssptri_(char *, 
	    integer *, real *, integer *, real *, integer *), serrsy_(
	    char *, integer *), ssptrs_(char *, integer *, integer *, 
	    real *, integer *, real *, integer *, integer *);
    static integer lda, npp;

    /* Fortran I/O blocks */
    static cilist io___38 = { 0, 0, 0, fmt_9999, 0 };
    static cilist io___41 = { 0, 0, 0, fmt_9998, 0 };
    static cilist io___43 = { 0, 0, 0, fmt_9999, 0 };



/*  -- LAPACK test routine (version 3.0) --   
       Univ. of Tennessee, Univ. of California Berkeley, NAG Ltd.,   
       Courant Institute, Argonne National Lab, and Rice University   
       December 7, 1999   


    Purpose   
    =======   

    SCHKSP tests SSPTRF, -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.   

    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) REAL array, dimension   
                        (NMAX*(NMAX+1)/2)   

    AFAC    (workspace) REAL array, dimension   
                        (NMAX*(NMAX+1)/2)   

    AINV    (workspace) REAL array, dimension   
                        (NMAX*(NMAX+1)/2)   

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

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

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

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

    RWORK   (workspace) REAL array,   
                                   dimension (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;
    --ainv;
    --afac;
    --a;
    --nsval;
    --nval;
    --dotype;

    /* Function Body   

       Initialize constants and the random number seed. */

    s_copy(path, "Single precision", (ftnlen)1, (ftnlen)16);
    s_copy(path + 1, "SP", (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) {
	serrsy_(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 L160;
	    }

/*           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 L160;
	    }

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

	    for (iuplo = 1; iuplo <= 2; ++iuplo) {
		*(unsigned char *)uplo = *(unsigned char *)&uplos[iuplo - 1];
		if (lsame_(uplo, "U")) {
		    *(unsigned char *)packit = 'C';
		} else {
		    *(unsigned char *)packit = 'R';
		}

/*              Set up parameters with SLATB4 and generate a test matrix   
                with SLATMS. */

		slatb4_(path, &imat, &n, &n, type__, &kl, &ku, &anorm, &mode, 
			&cndnum, dist);

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

/*              Check error code from SLATMS. */

		if (info != 0) {
		    alaerh_(path, "SLATMS", &info, &c__0, uplo, &n, &n, &c_n1,
			     &c_n1, &c_n1, &imat, &nfail, &nerrs, nout);
		    goto L150;
		}

/*              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) * izero / 2;
			    i__3 = izero - 1;
			    for (i__ = 1; i__ <= i__3; ++i__) {
				a[ioff + i__] = 0.f;
/* L20: */
			    }
			    ioff += izero;
			    i__3 = n;
			    for (i__ = izero; i__ <= i__3; ++i__) {
				a[ioff] = 0.f;
				ioff += i__;
/* L30: */
			    }
			} else {
			    ioff = izero;
			    i__3 = izero - 1;
			    for (i__ = 1; i__ <= i__3; ++i__) {
				a[ioff] = 0.f;
				ioff = ioff + n - i__;
/* L40: */
			    }
			    ioff -= izero;
			    i__3 = n;
			    for (i__ = izero; i__ <= i__3; ++i__) {
				a[ioff + 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__) {
				    a[ioff + i__] = 0.f;
/* L60: */
				}
				ioff += j;
/* 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__) {
				    a[ioff + i__] = 0.f;
/* L80: */
				}
				ioff = ioff + n - j;
/* L90: */
			    }
			}
		    }
		} else {
		    izero = 0;
		}

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

		npp = n * (n + 1) / 2;
		scopy_(&npp, &a[1], &c__1, &afac[1], &c__1);
		s_copy(srnamc_1.srnamt, "SSPTRF", (ftnlen)6, (ftnlen)6);
		ssptrf_(uplo, &n, &afac[1], &iwork[1], &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 SSPTRF. */

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

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

		sspt01_(uplo, &n, &a[1], &afac[1], &iwork[1], &ainv[1], &lda, 
			&rwork[1], result);
		nt = 1;

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

		if (! trfcon) {
		    scopy_(&npp, &afac[1], &c__1, &ainv[1], &c__1);
		    s_copy(srnamc_1.srnamt, "SSPTRI", (ftnlen)6, (ftnlen)6);
		    ssptri_(uplo, &n, &ainv[1], &iwork[1], &work[1], &info);

/*              Check error code from SSPTRI. */

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

		    sppt03_(uplo, &n, &a[1], &ainv[1], &work[1], &lda, &rwork[
			    1], &rcondc, &result[1]);
		    nt = 2;
		}

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

		i__3 = nt;
		for (k = 1; k <= i__3; ++k) {
		    if (result[k - 1] >= *thresh) {
			if (nfail == 0 && nerrs == 0) {
			    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 *)&k, (ftnlen)sizeof(integer));
			do_fio(&c__1, (char *)&result[k - 1], (ftnlen)sizeof(
				real));
			e_wsfe();
			++nfail;
		    }
/* L110: */
		}
		nrun += nt;

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

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

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

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

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

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

/*              Check error code from SSPTRS. */

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

		    slacpy_("Full", &n, &nrhs, &b[1], &lda, &work[1], &lda);
		    sppt02_(uplo, &n, &nrhs, &a[1], &x[1], &lda, &work[1], &
			    lda, &rwork[1], &result[2]);

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

		    sget04_(&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, "SSPRFS", (ftnlen)6, (ftnlen)6);
		    ssprfs_(uplo, &n, &nrhs, &a[1], &afac[1], &iwork[1], &b[1]
			    , &lda, &x[1], &lda, &rwork[1], &rwork[nrhs + 1], 
			    &work[1], &iwork[n + 1], &info);

/*              Check error code from SSPRFS. */

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

		    sget04_(&n, &nrhs, &x[1], &lda, &xact[1], &lda, &rcondc, &
			    result[4]);
		    sppt05_(uplo, &n, &nrhs, &a[1], &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___41.ciunit = *nout;
			    s_wsfe(&io___41);
			    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 = slansp_("1", uplo, &n, &a[1], &rwork[1]);
		s_copy(srnamc_1.srnamt, "SSPCON", (ftnlen)6, (ftnlen)6);
		sspcon_(uplo, &n, &afac[1], &iwork[1], &anorm, &rcond, &work[
			1], &iwork[n + 1], &info);

/*              Check error code from SSPCON. */

		if (info != 0) {
		    alaerh_(path, "SSPCON", &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___43.ciunit = *nout;
		    s_wsfe(&io___43);
		    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: */
    }

/*     Print a summary of the results. */

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

    return 0;

/*     End of SCHKSP */

} /* schksp_ */

