sdrvgex.c

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/* sdrvgex.f -- translated by f2c (version 20061008).
   You must link the resulting object file with libf2c:
        on Microsoft Windows system, link with libf2c.lib;
        on Linux or Unix systems, link with .../path/to/libf2c.a -lm
        or, if you install libf2c.a in a standard place, with -lf2c -lm
        -- in that order, at the end of the command line, as in
                cc *.o -lf2c -lm
        Source for libf2c is in /netlib/f2c/libf2c.zip, e.g.,

                http://www.netlib.org/f2c/libf2c.zip
*/

#include "f2c.h"
#include "memory_alloc.h"

/* Common Block Declarations */

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

#define infoc_1 infoc_

struct {
    char srnamt[32];
} srnamc_;

#define srnamc_1 srnamc_

/* Table of constant values */

static integer c__1 = 1;
static integer c__2 = 2;
static integer c__0 = 0;
static integer c_n1 = -1;
static real c_b20 = 0.f;
static logical c_true = TRUE_;
static integer c__6 = 6;
static integer c__7 = 7;

/* Subroutine */ int sdrvge_(logical *dotype, integer *nn, integer *nval, 
        integer *nrhs, real *thresh, logical *tsterr, integer *nmax, real *a, 
        real *afac, real *asav, real *b, real *bsav, real *x, real *xact, 
        real *s, real *work, real *rwork, integer *iwork, integer *nout)
{
    /* Initialized data */

    static integer iseedy[4] = { 1988,1989,1990,1991 };
    static char transs[1*3] = "N" "T" "C";
    static char facts[1*3] = "F" "N" "E";
    static char equeds[1*4] = "N" "R" "C" "B";

    /* Format strings */
    static char fmt_9999[] = "(1x,a,\002, N =\002,i5,\002, type \002,i2,\002"
            ", test(\002,i2,\002) =\002,g12.5)";
    static char fmt_9997[] = "(1x,a,\002, FACT='\002,a1,\002', TRANS='\002,a"
            "1,\002', N=\002,i5,\002, EQUED='\002,a1,\002', type \002,i2,\002"
            ", test(\002,i1,\002)=\002,g12.5)";
    static char fmt_9998[] = "(1x,a,\002, FACT='\002,a1,\002', TRANS='\002,a"
            "1,\002', N=\002,i5,\002, type \002,i2,\002, test(\002,i1,\002)"
            "=\002,g12.5)";

    /* System generated locals */
    address a__1[2];
    integer i__1, i__2, i__3, i__4, i__5[2];
    real r__1;
    char ch__1[2];

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

    /* Local variables */
    extern /* Subroutine */ int sebchvxx_(real *, char *);
    integer i__, k, n;
    real *errbnds_c__, *errbnds_n__;
    integer k1, nb, in, kl, ku, nt, n_err_bnds__;
    extern doublereal sla_rpvgrw__(integer *, integer *, real *, integer *, 
            real *, integer *);
    integer lda;
    char fact[1];
    integer ioff, mode;
    real amax;
    char path[3];
    integer imat, info;
    real *berr;
    char dist[1];
    real rpvgrw_svxx__;
    char type__[1];
    integer nrun, ifact, nfail, iseed[4], nfact;
    extern logical lsame_(char *, char *);
    char equed[1];
    integer nbmin;
    real rcond, roldc;
    extern /* Subroutine */ int sget01_(integer *, integer *, real *, integer 
            *, real *, integer *, integer *, real *, real *);
    integer nimat;
    real roldi;
    extern doublereal sget06_(real *, real *);
    extern /* Subroutine */ int sget02_(char *, integer *, integer *, integer 
            *, real *, integer *, real *, integer *, real *, integer *, real *
, real *);
    real anorm;
    integer itran;
    extern /* Subroutine */ int sget04_(integer *, integer *, real *, integer 
            *, real *, integer *, real *, real *);
    logical equil;
    real roldo;
    extern /* Subroutine */ int sget07_(char *, integer *, integer *, real *, 
            integer *, real *, integer *, real *, integer *, real *, integer *
, real *, logical *, real *, real *);
    char trans[1];
    integer izero, nerrs;
    extern /* Subroutine */ int sgesv_(integer *, integer *, real *, integer *
, integer *, real *, integer *, integer *);
    integer lwork;
    logical zerot;
    char xtype[1];
    extern /* Subroutine */ int slatb4_(char *, integer *, integer *, integer 
            *, char *, integer *, integer *, real *, integer *, real *, char *
), aladhd_(integer *, char *), 
            alaerh_(char *, char *, integer *, integer *, char *, integer *, 
            integer *, integer *, integer *, integer *, integer *, integer *, 
            integer *, integer *);
    logical prefac;
    real colcnd;
    extern doublereal slamch_(char *);
    real rcondc;
    extern doublereal slange_(char *, integer *, integer *, real *, integer *, 
             real *);
    logical nofact;
    integer iequed;
    extern /* Subroutine */ int slaqge_(integer *, integer *, real *, integer 
            *, real *, real *, real *, real *, real *, char *);
    real rcondi;
    extern /* Subroutine */ int alasvm_(char *, integer *, integer *, integer 
            *, integer *);
    real cndnum, anormi, rcondo, ainvnm;
    extern /* Subroutine */ int sgeequ_(integer *, integer *, real *, integer 
            *, real *, real *, real *, real *, real *, integer *);
    logical trfcon;
    real anormo, rowcnd;
    extern /* Subroutine */ int sgetrf_(integer *, integer *, real *, integer 
            *, integer *, integer *), sgetri_(integer *, real *, integer *, 
            integer *, real *, integer *, integer *), 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 slantr_(char *, char *, char *, integer *, integer *, 
            real *, integer *, real *);
    extern /* Subroutine */ int slaset_(char *, integer *, integer *, real *, 
            real *, real *, integer *), slatms_(integer *, integer *, 
            char *, integer *, char *, real *, integer *, real *, real *, 
            integer *, integer *, char *, real *, integer *, real *, integer *
), xlaenv_(integer *, integer *);
    real result[7];
    extern /* Subroutine */ int sgesvx_(char *, char *, integer *, integer *, 
            real *, integer *, real *, integer *, integer *, char *, real *, 
            real *, real *, integer *, real *, integer *, real *, real *, 
            real *, real *, integer *, integer *);
    real rpvgrw;
    extern /* Subroutine */ int serrvx_(char *, integer *), sgesvxx_(
            char *, char *, integer *, integer *, real *, integer *, real *, 
            integer *, integer *, char *, real *, real *, real *, integer *, 
            real *, integer *, real *, real *, real *, integer *, real *, 
            real *, integer *, real *, real *, integer *, integer *);

    /* Fortran I/O blocks */
    static cilist io___55 = { 0, 0, 0, fmt_9999, 0 };
    static cilist io___61 = { 0, 0, 0, fmt_9997, 0 };
    static cilist io___62 = { 0, 0, 0, fmt_9998, 0 };
    static cilist io___63 = { 0, 0, 0, fmt_9997, 0 };
    static cilist io___64 = { 0, 0, 0, fmt_9998, 0 };
    static cilist io___65 = { 0, 0, 0, fmt_9997, 0 };
    static cilist io___66 = { 0, 0, 0, fmt_9998, 0 };
    static cilist io___67 = { 0, 0, 0, fmt_9997, 0 };
    static cilist io___68 = { 0, 0, 0, fmt_9998, 0 };
    static cilist io___74 = { 0, 0, 0, fmt_9997, 0 };
    static cilist io___75 = { 0, 0, 0, fmt_9998, 0 };
    static cilist io___76 = { 0, 0, 0, fmt_9997, 0 };
    static cilist io___77 = { 0, 0, 0, fmt_9998, 0 };
    static cilist io___78 = { 0, 0, 0, fmt_9997, 0 };
    static cilist io___79 = { 0, 0, 0, fmt_9998, 0 };
    static cilist io___80 = { 0, 0, 0, fmt_9997, 0 };
    static cilist io___81 = { 0, 0, 0, fmt_9998, 0 };



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

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

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

/*  SDRVGE tests the driver routines SGESV, -SVX, and -SVXX. */

/*  Note that this file is used only when the XBLAS are available, */
/*  otherwise sdrvge.f defines this subroutine. */

/*  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. */

/*  NRHS    (input) INTEGER */
/*          The number of right hand side vectors to be generated for */
/*          each linear system. */

/*  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) */

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

/*  ASAV    (workspace) REAL array, dimension (NMAX*NMAX) */

/*  B       (workspace) REAL array, dimension (NMAX*NRHS) */

/*  BSAV    (workspace) REAL array, dimension (NMAX*NRHS) */

/*  X       (workspace) REAL array, dimension (NMAX*NRHS) */

/*  XACT    (workspace) REAL array, dimension (NMAX*NRHS) */

/*  S       (workspace) REAL array, dimension (2*NMAX) */

/*  WORK    (workspace) REAL array, dimension */
/*                      (NMAX*max(3,NRHS)) */

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

/*  IWORK   (workspace) INTEGER array, dimension (2*NMAX) */

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

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

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

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

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

    s_copy(path, "Single precision", (ftnlen)1, (ftnlen)16);
    s_copy(path + 1, "GE", (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) {
        serrvx_(path, nout);
    }
    infoc_1.infot = 0;

/*     Set the block size and minimum block size for testing. */

    nb = 1;
    nbmin = 2;
    xlaenv_(&c__1, &nb);
    xlaenv_(&c__2, &nbmin);

/*     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 = 11;
        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 L80;
            }

/*           Skip types 5, 6, or 7 if the matrix size is too small. */

            zerot = imat >= 5 && imat <= 7;
            if (zerot && n < imat - 4) {
                goto L80;
            }

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

            slatb4_(path, &imat, &n, &n, type__, &kl, &ku, &anorm, &mode, &
                    cndnum, dist);
            rcondc = 1.f / cndnum;

            s_copy(srnamc_1.srnamt, "SLATMS", (ftnlen)32, (ftnlen)6);
            slatms_(&n, &n, dist, iseed, type__, &rwork[1], &mode, &cndnum, &
                    anorm, &kl, &ku, "No packing", &a[1], &lda, &work[1], &
                    info);

/*           Check error code from SLATMS. */

            if (info != 0) {
                alaerh_(path, "SLATMS", &info, &c__0, " ", &n, &n, &c_n1, &
                        c_n1, &c_n1, &imat, &nfail, &nerrs, nout);
                goto L80;
            }

/*           For types 5-7, zero one or more columns of the matrix to */
/*           test that INFO is returned correctly. */

            if (zerot) {
                if (imat == 5) {
                    izero = 1;
                } else if (imat == 6) {
                    izero = n;
                } else {
                    izero = n / 2 + 1;
                }
                ioff = (izero - 1) * lda;
                if (imat < 7) {
                    i__3 = n;
                    for (i__ = 1; i__ <= i__3; ++i__) {
                        a[ioff + i__] = 0.f;
/* L20: */
                    }
                } else {
                    i__3 = n - izero + 1;
                    slaset_("Full", &n, &i__3, &c_b20, &c_b20, &a[ioff + 1], &
                            lda);
                }
            } else {
                izero = 0;
            }

/*           Save a copy of the matrix A in ASAV. */

            slacpy_("Full", &n, &n, &a[1], &lda, &asav[1], &lda);

            for (iequed = 1; iequed <= 4; ++iequed) {
                *(unsigned char *)equed = *(unsigned char *)&equeds[iequed - 
                        1];
                if (iequed == 1) {
                    nfact = 3;
                } else {
                    nfact = 1;
                }

                i__3 = nfact;
                for (ifact = 1; ifact <= i__3; ++ifact) {
                    *(unsigned char *)fact = *(unsigned char *)&facts[ifact - 
                            1];
                    prefac = lsame_(fact, "F");
                    nofact = lsame_(fact, "N");
                    equil = lsame_(fact, "E");

                    if (zerot) {
                        if (prefac) {
                            goto L60;
                        }
                        rcondo = 0.f;
                        rcondi = 0.f;

                    } else if (! nofact) {

/*                    Compute the condition number for comparison with */
/*                    the value returned by SGESVX (FACT = 'N' reuses */
/*                    the condition number from the previous iteration */
/*                    with FACT = 'F'). */

                        slacpy_("Full", &n, &n, &asav[1], &lda, &afac[1], &
                                lda);
                        if (equil || iequed > 1) {

/*                       Compute row and column scale factors to */
/*                       equilibrate the matrix A. */

                            sgeequ_(&n, &n, &afac[1], &lda, &s[1], &s[n + 1], 
                                    &rowcnd, &colcnd, &amax, &info);
                            if (info == 0 && n > 0) {
                                if (lsame_(equed, "R")) 
                                        {
                                    rowcnd = 0.f;
                                    colcnd = 1.f;
                                } else if (lsame_(equed, "C")) {
                                    rowcnd = 1.f;
                                    colcnd = 0.f;
                                } else if (lsame_(equed, "B")) {
                                    rowcnd = 0.f;
                                    colcnd = 0.f;
                                }

/*                          Equilibrate the matrix. */

                                slaqge_(&n, &n, &afac[1], &lda, &s[1], &s[n + 
                                        1], &rowcnd, &colcnd, &amax, equed);
                            }
                        }

/*                    Save the condition number of the non-equilibrated */
/*                    system for use in SGET04. */

                        if (equil) {
                            roldo = rcondo;
                            roldi = rcondi;
                        }

/*                    Compute the 1-norm and infinity-norm of A. */

                        anormo = slange_("1", &n, &n, &afac[1], &lda, &rwork[
                                1]);
                        anormi = slange_("I", &n, &n, &afac[1], &lda, &rwork[
                                1]);

/*                    Factor the matrix A. */

                        sgetrf_(&n, &n, &afac[1], &lda, &iwork[1], &info);

/*                    Form the inverse of A. */

                        slacpy_("Full", &n, &n, &afac[1], &lda, &a[1], &lda);
                        lwork = *nmax * max(3,*nrhs);
                        sgetri_(&n, &a[1], &lda, &iwork[1], &work[1], &lwork, 
                                &info);

/*                    Compute the 1-norm condition number of A. */

                        ainvnm = slange_("1", &n, &n, &a[1], &lda, &rwork[1]);
                        if (anormo <= 0.f || ainvnm <= 0.f) {
                            rcondo = 1.f;
                        } else {
                            rcondo = 1.f / anormo / ainvnm;
                        }

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

                        ainvnm = slange_("I", &n, &n, &a[1], &lda, &rwork[1]);
                        if (anormi <= 0.f || ainvnm <= 0.f) {
                            rcondi = 1.f;
                        } else {
                            rcondi = 1.f / anormi / ainvnm;
                        }
                    }

                    for (itran = 1; itran <= 3; ++itran) {
                        for (i__ = 1; i__ <= 7; ++i__) {
                            result[i__ - 1] = 0.f;
                        }

/*                    Do for each value of TRANS. */

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

/*                    Restore the matrix A. */

                        slacpy_("Full", &n, &n, &asav[1], &lda, &a[1], &lda);

/*                    Form an exact solution and set the right hand side. */

                        s_copy(srnamc_1.srnamt, "SLARHS", (ftnlen)32, (ftnlen)
                                6);
                        slarhs_(path, xtype, "Full", trans, &n, &n, &kl, &ku, 
                                nrhs, &a[1], &lda, &xact[1], &lda, &b[1], &
                                lda, iseed, &info);
                        *(unsigned char *)xtype = 'C';
                        slacpy_("Full", &n, nrhs, &b[1], &lda, &bsav[1], &lda);

                        if (nofact && itran == 1) {

/*                       --- Test SGESV  --- */

/*                       Compute the LU factorization of the matrix and */
/*                       solve the system. */

                            slacpy_("Full", &n, &n, &a[1], &lda, &afac[1], &
                                    lda);
                            slacpy_("Full", &n, nrhs, &b[1], &lda, &x[1], &
                                    lda);

                            s_copy(srnamc_1.srnamt, "SGESV ", (ftnlen)32, (
                                    ftnlen)6);
                            sgesv_(&n, nrhs, &afac[1], &lda, &iwork[1], &x[1], 
                                     &lda, &info);

/*                       Check error code from SGESV . */

                            if (info != izero) {
                                alaerh_(path, "SGESV ", &info, &izero, " ", &
                                        n, &n, &c_n1, &c_n1, nrhs, &imat, &
                                        nfail, &nerrs, nout);
                                goto L50;
                            }

/*                       Reconstruct matrix from factors and compute */
/*                       residual. */

                            sget01_(&n, &n, &a[1], &lda, &afac[1], &lda, &
                                    iwork[1], &rwork[1], result);
                            nt = 1;
                            if (izero == 0) {

/*                          Compute residual of the computed solution. */

                                slacpy_("Full", &n, nrhs, &b[1], &lda, &work[
                                        1], &lda);
                                sget02_("No transpose", &n, &n, nrhs, &a[1], &
                                        lda, &x[1], &lda, &work[1], &lda, &
                                        rwork[1], &result[1]);

/*                          Check solution from generated exact solution. */

                                sget04_(&n, nrhs, &x[1], &lda, &xact[1], &lda, 
                                         &rcondc, &result[2]);
                                nt = 3;
                            }

/*                       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) {
                                        aladhd_(nout, path);
                                    }
                                    io___55.ciunit = *nout;
                                    s_wsfe(&io___55);
                                    do_fio(&c__1, "SGESV ", (ftnlen)6);
                                    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;
                                }
/* L30: */
                            }
                            nrun += nt;
                        }

/*                    --- Test SGESVX --- */

                        if (! prefac) {
                            slaset_("Full", &n, &n, &c_b20, &c_b20, &afac[1], 
                                    &lda);
                        }
                        slaset_("Full", &n, nrhs, &c_b20, &c_b20, &x[1], &lda);
                        if (iequed > 1 && n > 0) {

/*                       Equilibrate the matrix if FACT = 'F' and */
/*                       EQUED = 'R', 'C', or 'B'. */

                            slaqge_(&n, &n, &a[1], &lda, &s[1], &s[n + 1], &
                                    rowcnd, &colcnd, &amax, equed);
                        }

/*                    Solve the system and compute the condition number */
/*                    and error bounds using SGESVX. */

                        s_copy(srnamc_1.srnamt, "SGESVX", (ftnlen)32, (ftnlen)
                                6);
                        sgesvx_(fact, trans, &n, nrhs, &a[1], &lda, &afac[1], 
                                &lda, &iwork[1], equed, &s[1], &s[n + 1], &b[
                                1], &lda, &x[1], &lda, &rcond, &rwork[1], &
                                rwork[*nrhs + 1], &work[1], &iwork[n + 1], &
                                info);

/*                    Check the error code from SGESVX. */

                        if (info == n + 1) {
                            goto L50;
                        }
                        if (info != izero) {
/* Writing concatenation */
                            i__5[0] = 1, a__1[0] = fact;
                            i__5[1] = 1, a__1[1] = trans;
                            s_cat(ch__1, a__1, i__5, &c__2, (ftnlen)2);
                            alaerh_(path, "SGESVX", &info, &izero, ch__1, &n, 
                                    &n, &c_n1, &c_n1, nrhs, &imat, &nfail, &
                                    nerrs, nout);
                            goto L50;
                        }

/*                    Compare WORK(1) from SGESVX with the computed */
/*                    reciprocal pivot growth factor RPVGRW */

                        if (info != 0) {
                            rpvgrw = slantr_("M", "U", "N", &info, &info, &
                                    afac[1], &lda, &work[1]);
                            if (rpvgrw == 0.f) {
                                rpvgrw = 1.f;
                            } else {
                                rpvgrw = slange_("M", &n, &info, &a[1], &lda, 
                                        &work[1]) / rpvgrw;
                            }
                        } else {
                            rpvgrw = slantr_("M", "U", "N", &n, &n, &afac[1], 
                                    &lda, &work[1]);
                            if (rpvgrw == 0.f) {
                                rpvgrw = 1.f;
                            } else {
                                rpvgrw = slange_("M", &n, &n, &a[1], &lda, &
                                        work[1]) / rpvgrw;
                            }
                        }
                        result[6] = (r__1 = rpvgrw - work[1], dabs(r__1)) / 
                                dmax(work[1],rpvgrw) / slamch_("E")
                                ;

                        if (! prefac) {

/*                       Reconstruct matrix from factors and compute */
/*                       residual. */

                            sget01_(&n, &n, &a[1], &lda, &afac[1], &lda, &
                                    iwork[1], &rwork[(*nrhs << 1) + 1], 
                                    result);
                            k1 = 1;
                        } else {
                            k1 = 2;
                        }

                        if (info == 0) {
                            trfcon = FALSE_;

/*                       Compute residual of the computed solution. */

                            slacpy_("Full", &n, nrhs, &bsav[1], &lda, &work[1]
, &lda);
                            sget02_(trans, &n, &n, nrhs, &asav[1], &lda, &x[1]
, &lda, &work[1], &lda, &rwork[(*nrhs << 
                                    1) + 1], &result[1]);

/*                       Check solution from generated exact solution. */

                            if (nofact || prefac && lsame_(equed, "N")) {
                                sget04_(&n, nrhs, &x[1], &lda, &xact[1], &lda, 
                                         &rcondc, &result[2]);
                            } else {
                                if (itran == 1) {
                                    roldc = roldo;
                                } else {
                                    roldc = roldi;
                                }
                                sget04_(&n, nrhs, &x[1], &lda, &xact[1], &lda, 
                                         &roldc, &result[2]);
                            }

/*                       Check the error bounds from iterative */
/*                       refinement. */

                            sget07_(trans, &n, nrhs, &asav[1], &lda, &b[1], &
                                    lda, &x[1], &lda, &xact[1], &lda, &rwork[
                                    1], &c_true, &rwork[*nrhs + 1], &result[3]
);
                        } else {
                            trfcon = TRUE_;
                        }

/*                    Compare RCOND from SGESVX with the computed value */
/*                    in RCONDC. */

                        result[5] = sget06_(&rcond, &rcondc);

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

                        if (! trfcon) {
                            for (k = k1; k <= 7; ++k) {
                                if (result[k - 1] >= *thresh) {
                                    if (nfail == 0 && nerrs == 0) {
                                        aladhd_(nout, path);
                                    }
                                    if (prefac) {
                                        io___61.ciunit = *nout;
                                        s_wsfe(&io___61);
                                        do_fio(&c__1, "SGESVX", (ftnlen)6);
                                        do_fio(&c__1, fact, (ftnlen)1);
                                        do_fio(&c__1, trans, (ftnlen)1);
                                        do_fio(&c__1, (char *)&n, (ftnlen)
                                                sizeof(integer));
                                        do_fio(&c__1, equed, (ftnlen)1);
                                        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();
                                    } else {
                                        io___62.ciunit = *nout;
                                        s_wsfe(&io___62);
                                        do_fio(&c__1, "SGESVX", (ftnlen)6);
                                        do_fio(&c__1, fact, (ftnlen)1);
                                        do_fio(&c__1, trans, (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;
                                }
/* L40: */
                            }
                            nrun = nrun + 7 - k1;
                        } else {
                            if (result[0] >= *thresh && ! prefac) {
                                if (nfail == 0 && nerrs == 0) {
                                    aladhd_(nout, path);
                                }
                                if (prefac) {
                                    io___63.ciunit = *nout;
                                    s_wsfe(&io___63);
                                    do_fio(&c__1, "SGESVX", (ftnlen)6);
                                    do_fio(&c__1, fact, (ftnlen)1);
                                    do_fio(&c__1, trans, (ftnlen)1);
                                    do_fio(&c__1, (char *)&n, (ftnlen)sizeof(
                                            integer));
                                    do_fio(&c__1, equed, (ftnlen)1);
                                    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(real));
                                    e_wsfe();
                                } else {
                                    io___64.ciunit = *nout;
                                    s_wsfe(&io___64);
                                    do_fio(&c__1, "SGESVX", (ftnlen)6);
                                    do_fio(&c__1, fact, (ftnlen)1);
                                    do_fio(&c__1, trans, (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(real));
                                    e_wsfe();
                                }
                                ++nfail;
                                ++nrun;
                            }
                            if (result[5] >= *thresh) {
                                if (nfail == 0 && nerrs == 0) {
                                    aladhd_(nout, path);
                                }
                                if (prefac) {
                                    io___65.ciunit = *nout;
                                    s_wsfe(&io___65);
                                    do_fio(&c__1, "SGESVX", (ftnlen)6);
                                    do_fio(&c__1, fact, (ftnlen)1);
                                    do_fio(&c__1, trans, (ftnlen)1);
                                    do_fio(&c__1, (char *)&n, (ftnlen)sizeof(
                                            integer));
                                    do_fio(&c__1, equed, (ftnlen)1);
                                    do_fio(&c__1, (char *)&imat, (ftnlen)
                                            sizeof(integer));
                                    do_fio(&c__1, (char *)&c__6, (ftnlen)
                                            sizeof(integer));
                                    do_fio(&c__1, (char *)&result[5], (ftnlen)
                                            sizeof(real));
                                    e_wsfe();
                                } else {
                                    io___66.ciunit = *nout;
                                    s_wsfe(&io___66);
                                    do_fio(&c__1, "SGESVX", (ftnlen)6);
                                    do_fio(&c__1, fact, (ftnlen)1);
                                    do_fio(&c__1, trans, (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__6, (ftnlen)
                                            sizeof(integer));
                                    do_fio(&c__1, (char *)&result[5], (ftnlen)
                                            sizeof(real));
                                    e_wsfe();
                                }
                                ++nfail;
                                ++nrun;
                            }
                            if (result[6] >= *thresh) {
                                if (nfail == 0 && nerrs == 0) {
                                    aladhd_(nout, path);
                                }
                                if (prefac) {
                                    io___67.ciunit = *nout;
                                    s_wsfe(&io___67);
                                    do_fio(&c__1, "SGESVX", (ftnlen)6);
                                    do_fio(&c__1, fact, (ftnlen)1);
                                    do_fio(&c__1, trans, (ftnlen)1);
                                    do_fio(&c__1, (char *)&n, (ftnlen)sizeof(
                                            integer));
                                    do_fio(&c__1, equed, (ftnlen)1);
                                    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(real));
                                    e_wsfe();
                                } else {
                                    io___68.ciunit = *nout;
                                    s_wsfe(&io___68);
                                    do_fio(&c__1, "SGESVX", (ftnlen)6);
                                    do_fio(&c__1, fact, (ftnlen)1);
                                    do_fio(&c__1, trans, (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(real));
                                    e_wsfe();
                                }
                                ++nfail;
                                ++nrun;
                            }

                        }

/*                    --- Test SGESVXX --- */

/*                    Restore the matrices A and B. */

                        slacpy_("Full", &n, &n, &asav[1], &lda, &a[1], &lda);
                        slacpy_("Full", &n, nrhs, &bsav[1], &lda, &b[1], &lda);
                        if (! prefac) {
                            slaset_("Full", &n, &n, &c_b20, &c_b20, &afac[1], 
                                    &lda);
                        }
                        slaset_("Full", &n, nrhs, &c_b20, &c_b20, &x[1], &lda);
                        if (iequed > 1 && n > 0) {

/*                       Equilibrate the matrix if FACT = 'F' and */
/*                       EQUED = 'R', 'C', or 'B'. */

                            slaqge_(&n, &n, &a[1], &lda, &s[1], &s[n + 1], &
                                    rowcnd, &colcnd, &amax, equed);
                        }

/*                    Solve the system and compute the condition number */
/*                    and error bounds using SGESVXX. */

                        s_copy(srnamc_1.srnamt, "SGESVXX", (ftnlen)32, (
                                ftnlen)7);
                        n_err_bnds__ = 3;

                        salloc3();

                        sgesvxx_(fact, trans, &n, nrhs, &a[1], &lda, &afac[1], 
                                 &lda, &iwork[1], equed, &s[1], &s[n + 1], &b[
                                1], &lda, &x[1], &lda, &rcond, &rpvgrw_svxx__, 
                                 berr, &n_err_bnds__, errbnds_n__, 
                                errbnds_c__, &c__0, &c_b20, &work[1], &iwork[
                                n + 1], &info);

                        free3();

/*                    Check the error code from SGESVXX. */

                        if (info == n + 1) {
                            goto L50;
                        }
                        if (info != izero) {
/* Writing concatenation */
                            i__5[0] = 1, a__1[0] = fact;
                            i__5[1] = 1, a__1[1] = trans;
                            s_cat(ch__1, a__1, i__5, &c__2, (ftnlen)2);
                            alaerh_(path, "SGESVXX", &info, &izero, ch__1, &n, 
                                     &n, &c_n1, &c_n1, nrhs, &imat, &nfail, &
                                    nerrs, nout);
                            goto L50;
                        }

/*                    Compare rpvgrw_svxx from SGESVXX with the computed */
/*                    reciprocal pivot growth factor RPVGRW */

                        if (info > 0 && info < n + 1) {
                            rpvgrw = sla_rpvgrw__(&n, &info, &a[1], &lda, &
                                    afac[1], &lda);
                        } else {
                            rpvgrw = sla_rpvgrw__(&n, &n, &a[1], &lda, &afac[
                                    1], &lda);
                        }
                        result[6] = (r__1 = rpvgrw - rpvgrw_svxx__, dabs(r__1)
                                ) / dmax(rpvgrw_svxx__,rpvgrw) / slamch_(
                                "E");

                        if (! prefac) {

/*                       Reconstruct matrix from factors and compute */
/*                       residual. */

                            sget01_(&n, &n, &a[1], &lda, &afac[1], &lda, &
                                    iwork[1], &rwork[(*nrhs << 1) + 1], 
                                    result);
                            k1 = 1;
                        } else {
                            k1 = 2;
                        }

                        if (info == 0) {
                            trfcon = FALSE_;

/*                       Compute residual of the computed solution. */

                            slacpy_("Full", &n, nrhs, &bsav[1], &lda, &work[1]
, &lda);
                            sget02_(trans, &n, &n, nrhs, &asav[1], &lda, &x[1]
, &lda, &work[1], &lda, &rwork[(*nrhs << 
                                    1) + 1], &result[1]);

/*                       Check solution from generated exact solution. */

                            if (nofact || prefac && lsame_(equed, "N")) {
                                sget04_(&n, nrhs, &x[1], &lda, &xact[1], &lda, 
                                         &rcondc, &result[2]);
                            } else {
                                if (itran == 1) {
                                    roldc = roldo;
                                } else {
                                    roldc = roldi;
                                }
                                sget04_(&n, nrhs, &x[1], &lda, &xact[1], &lda, 
                                         &roldc, &result[2]);
                            }
                        } else {
                            trfcon = TRUE_;
                        }

/*                    Compare RCOND from SGESVXX with the computed value */
/*                    in RCONDC. */

                        result[5] = sget06_(&rcond, &rcondc);

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

                        if (! trfcon) {
                            for (k = k1; k <= 7; ++k) {
                                if (result[k - 1] >= *thresh) {
                                    if (nfail == 0 && nerrs == 0) {
                                        aladhd_(nout, path);
                                    }
                                    if (prefac) {
                                        io___74.ciunit = *nout;
                                        s_wsfe(&io___74);
                                        do_fio(&c__1, "SGESVXX", (ftnlen)7);
                                        do_fio(&c__1, fact, (ftnlen)1);
                                        do_fio(&c__1, trans, (ftnlen)1);
                                        do_fio(&c__1, (char *)&n, (ftnlen)
                                                sizeof(integer));
                                        do_fio(&c__1, equed, (ftnlen)1);
                                        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();
                                    } else {
                                        io___75.ciunit = *nout;
                                        s_wsfe(&io___75);
                                        do_fio(&c__1, "SGESVXX", (ftnlen)7);
                                        do_fio(&c__1, fact, (ftnlen)1);
                                        do_fio(&c__1, trans, (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;
                                }
/* L45: */
                            }
                            nrun = nrun + 7 - k1;
                        } else {
                            if (result[0] >= *thresh && ! prefac) {
                                if (nfail == 0 && nerrs == 0) {
                                    aladhd_(nout, path);
                                }
                                if (prefac) {
                                    io___76.ciunit = *nout;
                                    s_wsfe(&io___76);
                                    do_fio(&c__1, "SGESVXX", (ftnlen)7);
                                    do_fio(&c__1, fact, (ftnlen)1);
                                    do_fio(&c__1, trans, (ftnlen)1);
                                    do_fio(&c__1, (char *)&n, (ftnlen)sizeof(
                                            integer));
                                    do_fio(&c__1, equed, (ftnlen)1);
                                    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(real));
                                    e_wsfe();
                                } else {
                                    io___77.ciunit = *nout;
                                    s_wsfe(&io___77);
                                    do_fio(&c__1, "SGESVXX", (ftnlen)7);
                                    do_fio(&c__1, fact, (ftnlen)1);
                                    do_fio(&c__1, trans, (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(real));
                                    e_wsfe();
                                }
                                ++nfail;
                                ++nrun;
                            }
                            if (result[5] >= *thresh) {
                                if (nfail == 0 && nerrs == 0) {
                                    aladhd_(nout, path);
                                }
                                if (prefac) {
                                    io___78.ciunit = *nout;
                                    s_wsfe(&io___78);
                                    do_fio(&c__1, "SGESVXX", (ftnlen)7);
                                    do_fio(&c__1, fact, (ftnlen)1);
                                    do_fio(&c__1, trans, (ftnlen)1);
                                    do_fio(&c__1, (char *)&n, (ftnlen)sizeof(
                                            integer));
                                    do_fio(&c__1, equed, (ftnlen)1);
                                    do_fio(&c__1, (char *)&imat, (ftnlen)
                                            sizeof(integer));
                                    do_fio(&c__1, (char *)&c__6, (ftnlen)
                                            sizeof(integer));
                                    do_fio(&c__1, (char *)&result[5], (ftnlen)
                                            sizeof(real));
                                    e_wsfe();
                                } else {
                                    io___79.ciunit = *nout;
                                    s_wsfe(&io___79);
                                    do_fio(&c__1, "SGESVXX", (ftnlen)7);
                                    do_fio(&c__1, fact, (ftnlen)1);
                                    do_fio(&c__1, trans, (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__6, (ftnlen)
                                            sizeof(integer));
                                    do_fio(&c__1, (char *)&result[5], (ftnlen)
                                            sizeof(real));
                                    e_wsfe();
                                }
                                ++nfail;
                                ++nrun;
                            }
                            if (result[6] >= *thresh) {
                                if (nfail == 0 && nerrs == 0) {
                                    aladhd_(nout, path);
                                }
                                if (prefac) {
                                    io___80.ciunit = *nout;
                                    s_wsfe(&io___80);
                                    do_fio(&c__1, "SGESVXX", (ftnlen)7);
                                    do_fio(&c__1, fact, (ftnlen)1);
                                    do_fio(&c__1, trans, (ftnlen)1);
                                    do_fio(&c__1, (char *)&n, (ftnlen)sizeof(
                                            integer));
                                    do_fio(&c__1, equed, (ftnlen)1);
                                    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(real));
                                    e_wsfe();
                                } else {
                                    io___81.ciunit = *nout;
                                    s_wsfe(&io___81);
                                    do_fio(&c__1, "SGESVXX", (ftnlen)7);
                                    do_fio(&c__1, fact, (ftnlen)1);
                                    do_fio(&c__1, trans, (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(real));
                                    e_wsfe();
                                }
                                ++nfail;
                                ++nrun;
                            }

                        }

L50:
                        ;
                    }
L60:
                    ;
                }
/* L70: */
            }
L80:
            ;
        }
/* L90: */
    }

/*     Print a summary of the results. */

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

/*     Test Error Bounds from SGESVXX */
    sebchvxx_(thresh, path);
    return 0;

/*     End of SDRVGE */

} /* sdrvge_ */