#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"

/* Table of constant values */

static integer c__3 = 3;
static integer c__1 = 1;
static integer c__4 = 4;
static integer c__20 = 20;
static integer c__1200 = 1200;
static integer c__400 = 400;

/* Subroutine */ int sget38_(real *rmax, integer *lmax, integer *ninfo, 
	integer *knt, integer *nin)
{
    /* System generated locals */
    integer i__1, i__2;
    real r__1, r__2;

    /* Builtin functions */
    double sqrt(doublereal);
    integer s_rsle(cilist *), do_lio(integer *, integer *, char *, ftnlen), 
	    e_rsle(void);

    /* Local variables */
    static integer ndim, iscl, info, kmin, itmp, ipnt[20];
    static real vmax, qsav[400]	/* was [20][20] */, tsav[400]	/* was [20][
	    20] */, tnrm, qtmp[400]	/* was [20][20] */, work[1200], stmp, 
	    vmul, ttmp[400]	/* was [20][20] */, tsav1[400]	/* was [20][
	    20] */;
    static integer i__, j, m, n;
    static real q[400]	/* was [20][20] */, s, t[400]	/* was [20][20] */, v;
    extern /* Subroutine */ int sscal_(integer *, real *, real *, integer *);
    static real sepin, vimin;
    extern /* Subroutine */ int shst01_(integer *, integer *, integer *, real 
	    *, integer *, real *, integer *, real *, integer *, real *, 
	    integer *, real *);
    static real tolin, vrmin;
    static integer iwork[400];
    extern /* Subroutine */ int scopy_(integer *, real *, integer *, real *, 
	    integer *);
    static real witmp[20], wrtmp[20];
    extern /* Subroutine */ int slabad_(real *, real *);
    static real wi[20];
    static integer iselec[20];
    extern doublereal slamch_(char *);
    static real wr[20];
    extern doublereal slange_(char *, integer *, integer *, real *, integer *,
	     real *);
    extern /* Subroutine */ int sgehrd_(integer *, integer *, integer *, real 
	    *, integer *, real *, real *, integer *, integer *);
    static logical select[20];
    static real bignum;
    extern /* Subroutine */ int slacpy_(char *, integer *, integer *, real *, 
	    integer *, real *, integer *), sorghr_(integer *, integer 
	    *, integer *, real *, integer *, real *, real *, integer *, 
	    integer *), shseqr_(char *, char *, integer *, integer *, integer 
	    *, real *, integer *, real *, real *, real *, integer *, real *, 
	    integer *, integer *);
    static real septmp, smlnum, result[2];
    extern /* Subroutine */ int strsen_(char *, char *, logical *, integer *, 
	    real *, integer *, real *, integer *, real *, real *, integer *, 
	    real *, real *, real *, integer *, integer *, integer *, integer *
	    );
    static real val[3], eps, sep, sin__, tol, tmp[400]	/* was [20][20] */;

    /* Fortran I/O blocks */
    static cilist io___5 = { 0, 0, 0, 0, 0 };
    static cilist io___8 = { 0, 0, 0, 0, 0 };
    static cilist io___11 = { 0, 0, 0, 0, 0 };
    static cilist io___14 = { 0, 0, 0, 0, 0 };



#define qsav_ref(a_1,a_2) qsav[(a_2)*20 + a_1 - 21]
#define qtmp_ref(a_1,a_2) qtmp[(a_2)*20 + a_1 - 21]
#define ttmp_ref(a_1,a_2) ttmp[(a_2)*20 + a_1 - 21]
#define q_ref(a_1,a_2) q[(a_2)*20 + a_1 - 21]
#define t_ref(a_1,a_2) t[(a_2)*20 + a_1 - 21]
#define tmp_ref(a_1,a_2) tmp[(a_2)*20 + a_1 - 21]


/*  -- 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   
    =======   

    SGET38 tests STRSEN, a routine for estimating condition numbers of a   
    cluster of eigenvalues and/or its associated right invariant subspace   

    The test matrices are read from a file with logical unit number NIN.   

    Arguments   
    ==========   

    RMAX    (output) REAL array, dimension (3)   
            Values of the largest test ratios.   
            RMAX(1) = largest residuals from SHST01 or comparing   
                      different calls to STRSEN   
            RMAX(2) = largest error in reciprocal condition   
                      numbers taking their conditioning into account   
            RMAX(3) = largest error in reciprocal condition   
                      numbers not taking their conditioning into   
                      account (may be larger than RMAX(2))   

    LMAX    (output) INTEGER array, dimension (3)   
            LMAX(i) is example number where largest test ratio   
            RMAX(i) is achieved. Also:   
            If SGEHRD returns INFO nonzero on example i, LMAX(1)=i   
            If SHSEQR returns INFO nonzero on example i, LMAX(2)=i   
            If STRSEN returns INFO nonzero on example i, LMAX(3)=i   

    NINFO   (output) INTEGER array, dimension (3)   
            NINFO(1) = No. of times SGEHRD returned INFO nonzero   
            NINFO(2) = No. of times SHSEQR returned INFO nonzero   
            NINFO(3) = No. of times STRSEN returned INFO nonzero   

    KNT     (output) INTEGER   
            Total number of examples tested.   

    NIN     (input) INTEGER   
            Input logical unit number.   

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


       Parameter adjustments */
    --ninfo;
    --lmax;
    --rmax;

    /* Function Body */
    eps = slamch_("P");
    smlnum = slamch_("S") / eps;
    bignum = 1.f / smlnum;
    slabad_(&smlnum, &bignum);

/*     EPSIN = 2**(-24) = precision to which input data computed */

    eps = dmax(eps,5.9605e-8f);
    rmax[1] = 0.f;
    rmax[2] = 0.f;
    rmax[3] = 0.f;
    lmax[1] = 0;
    lmax[2] = 0;
    lmax[3] = 0;
    *knt = 0;
    ninfo[1] = 0;
    ninfo[2] = 0;
    ninfo[3] = 0;

    val[0] = sqrt(smlnum);
    val[1] = 1.f;
    val[2] = sqrt(sqrt(bignum));

/*     Read input data until N=0.  Assume input eigenvalues are sorted   
       lexicographically (increasing by real part, then decreasing by   
       imaginary part) */

L10:
    io___5.ciunit = *nin;
    s_rsle(&io___5);
    do_lio(&c__3, &c__1, (char *)&n, (ftnlen)sizeof(integer));
    do_lio(&c__3, &c__1, (char *)&ndim, (ftnlen)sizeof(integer));
    e_rsle();
    if (n == 0) {
	return 0;
    }
    io___8.ciunit = *nin;
    s_rsle(&io___8);
    i__1 = ndim;
    for (i__ = 1; i__ <= i__1; ++i__) {
	do_lio(&c__3, &c__1, (char *)&iselec[i__ - 1], (ftnlen)sizeof(integer)
		);
    }
    e_rsle();
    i__1 = n;
    for (i__ = 1; i__ <= i__1; ++i__) {
	io___11.ciunit = *nin;
	s_rsle(&io___11);
	i__2 = n;
	for (j = 1; j <= i__2; ++j) {
	    do_lio(&c__4, &c__1, (char *)&tmp_ref(i__, j), (ftnlen)sizeof(
		    real));
	}
	e_rsle();
/* L20: */
    }
    io___14.ciunit = *nin;
    s_rsle(&io___14);
    do_lio(&c__4, &c__1, (char *)&sin__, (ftnlen)sizeof(real));
    do_lio(&c__4, &c__1, (char *)&sepin, (ftnlen)sizeof(real));
    e_rsle();

    tnrm = slange_("M", &n, &n, tmp, &c__20, work);
    for (iscl = 1; iscl <= 3; ++iscl) {

/*        Scale input matrix */

	++(*knt);
	slacpy_("F", &n, &n, tmp, &c__20, t, &c__20);
	vmul = val[iscl - 1];
	i__1 = n;
	for (i__ = 1; i__ <= i__1; ++i__) {
	    sscal_(&n, &vmul, &t_ref(1, i__), &c__1);
/* L30: */
	}
	if (tnrm == 0.f) {
	    vmul = 1.f;
	}
	slacpy_("F", &n, &n, t, &c__20, tsav, &c__20);

/*        Compute Schur form */

	i__1 = 1200 - n;
	sgehrd_(&n, &c__1, &n, t, &c__20, work, &work[n], &i__1, &info);
	if (info != 0) {
	    lmax[1] = *knt;
	    ++ninfo[1];
	    goto L160;
	}

/*        Generate orthogonal matrix */

	slacpy_("L", &n, &n, t, &c__20, q, &c__20);
	i__1 = 1200 - n;
	sorghr_(&n, &c__1, &n, q, &c__20, work, &work[n], &i__1, &info);

/*        Compute Schur form */

	shseqr_("S", "V", &n, &c__1, &n, t, &c__20, wr, wi, q, &c__20, work, &
		c__1200, &info);
	if (info != 0) {
	    lmax[2] = *knt;
	    ++ninfo[2];
	    goto L160;
	}

/*        Sort, select eigenvalues */

	i__1 = n;
	for (i__ = 1; i__ <= i__1; ++i__) {
	    ipnt[i__ - 1] = i__;
	    select[i__ - 1] = FALSE_;
/* L40: */
	}
	scopy_(&n, wr, &c__1, wrtmp, &c__1);
	scopy_(&n, wi, &c__1, witmp, &c__1);
	i__1 = n - 1;
	for (i__ = 1; i__ <= i__1; ++i__) {
	    kmin = i__;
	    vrmin = wrtmp[i__ - 1];
	    vimin = witmp[i__ - 1];
	    i__2 = n;
	    for (j = i__ + 1; j <= i__2; ++j) {
		if (wrtmp[j - 1] < vrmin) {
		    kmin = j;
		    vrmin = wrtmp[j - 1];
		    vimin = witmp[j - 1];
		}
/* L50: */
	    }
	    wrtmp[kmin - 1] = wrtmp[i__ - 1];
	    witmp[kmin - 1] = witmp[i__ - 1];
	    wrtmp[i__ - 1] = vrmin;
	    witmp[i__ - 1] = vimin;
	    itmp = ipnt[i__ - 1];
	    ipnt[i__ - 1] = ipnt[kmin - 1];
	    ipnt[kmin - 1] = itmp;
/* L60: */
	}
	i__1 = ndim;
	for (i__ = 1; i__ <= i__1; ++i__) {
	    select[ipnt[iselec[i__ - 1] - 1] - 1] = TRUE_;
/* L70: */
	}

/*        Compute condition numbers */

	slacpy_("F", &n, &n, q, &c__20, qsav, &c__20);
	slacpy_("F", &n, &n, t, &c__20, tsav1, &c__20);
	strsen_("B", "V", select, &n, t, &c__20, q, &c__20, wrtmp, witmp, &m, 
		&s, &sep, work, &c__1200, iwork, &c__400, &info);
	if (info != 0) {
	    lmax[3] = *knt;
	    ++ninfo[3];
	    goto L160;
	}
	septmp = sep / vmul;
	stmp = s;

/*        Compute residuals */

	shst01_(&n, &c__1, &n, tsav, &c__20, t, &c__20, q, &c__20, work, &
		c__1200, result);
	vmax = dmax(result[0],result[1]);
	if (vmax > rmax[1]) {
	    rmax[1] = vmax;
	    if (ninfo[1] == 0) {
		lmax[1] = *knt;
	    }
	}

/*        Compare condition number for eigenvalue cluster   
          taking its condition number into account   

   Computing MAX */
	r__1 = (real) n * 2.f * eps * tnrm;
	v = dmax(r__1,smlnum);
	if (tnrm == 0.f) {
	    v = 1.f;
	}
	if (v > septmp) {
	    tol = 1.f;
	} else {
	    tol = v / septmp;
	}
	if (v > sepin) {
	    tolin = 1.f;
	} else {
	    tolin = v / sepin;
	}
/* Computing MAX */
	r__1 = tol, r__2 = smlnum / eps;
	tol = dmax(r__1,r__2);
/* Computing MAX */
	r__1 = tolin, r__2 = smlnum / eps;
	tolin = dmax(r__1,r__2);
	if (eps * (sin__ - tolin) > stmp + tol) {
	    vmax = 1.f / eps;
	} else if (sin__ - tolin > stmp + tol) {
	    vmax = (sin__ - tolin) / (stmp + tol);
	} else if (sin__ + tolin < eps * (stmp - tol)) {
	    vmax = 1.f / eps;
	} else if (sin__ + tolin < stmp - tol) {
	    vmax = (stmp - tol) / (sin__ + tolin);
	} else {
	    vmax = 1.f;
	}
	if (vmax > rmax[2]) {
	    rmax[2] = vmax;
	    if (ninfo[2] == 0) {
		lmax[2] = *knt;
	    }
	}

/*        Compare condition numbers for invariant subspace   
          taking its condition number into account */

	if (v > septmp * stmp) {
	    tol = septmp;
	} else {
	    tol = v / stmp;
	}
	if (v > sepin * sin__) {
	    tolin = sepin;
	} else {
	    tolin = v / sin__;
	}
/* Computing MAX */
	r__1 = tol, r__2 = smlnum / eps;
	tol = dmax(r__1,r__2);
/* Computing MAX */
	r__1 = tolin, r__2 = smlnum / eps;
	tolin = dmax(r__1,r__2);
	if (eps * (sepin - tolin) > septmp + tol) {
	    vmax = 1.f / eps;
	} else if (sepin - tolin > septmp + tol) {
	    vmax = (sepin - tolin) / (septmp + tol);
	} else if (sepin + tolin < eps * (septmp - tol)) {
	    vmax = 1.f / eps;
	} else if (sepin + tolin < septmp - tol) {
	    vmax = (septmp - tol) / (sepin + tolin);
	} else {
	    vmax = 1.f;
	}
	if (vmax > rmax[2]) {
	    rmax[2] = vmax;
	    if (ninfo[2] == 0) {
		lmax[2] = *knt;
	    }
	}

/*        Compare condition number for eigenvalue cluster   
          without taking its condition number into account */

	if (sin__ <= (real) (n << 1) * eps && stmp <= (real) (n << 1) * eps) {
	    vmax = 1.f;
	} else if (eps * sin__ > stmp) {
	    vmax = 1.f / eps;
	} else if (sin__ > stmp) {
	    vmax = sin__ / stmp;
	} else if (sin__ < eps * stmp) {
	    vmax = 1.f / eps;
	} else if (sin__ < stmp) {
	    vmax = stmp / sin__;
	} else {
	    vmax = 1.f;
	}
	if (vmax > rmax[3]) {
	    rmax[3] = vmax;
	    if (ninfo[3] == 0) {
		lmax[3] = *knt;
	    }
	}

/*        Compare condition numbers for invariant subspace   
          without taking its condition number into account */

	if (sepin <= v && septmp <= v) {
	    vmax = 1.f;
	} else if (eps * sepin > septmp) {
	    vmax = 1.f / eps;
	} else if (sepin > septmp) {
	    vmax = sepin / septmp;
	} else if (sepin < eps * septmp) {
	    vmax = 1.f / eps;
	} else if (sepin < septmp) {
	    vmax = septmp / sepin;
	} else {
	    vmax = 1.f;
	}
	if (vmax > rmax[3]) {
	    rmax[3] = vmax;
	    if (ninfo[3] == 0) {
		lmax[3] = *knt;
	    }
	}

/*        Compute eigenvalue condition number only and compare   
          Update Q */

	vmax = 0.f;
	slacpy_("F", &n, &n, tsav1, &c__20, ttmp, &c__20);
	slacpy_("F", &n, &n, qsav, &c__20, qtmp, &c__20);
	septmp = -1.f;
	stmp = -1.f;
	strsen_("E", "V", select, &n, ttmp, &c__20, qtmp, &c__20, wrtmp, 
		witmp, &m, &stmp, &septmp, work, &c__1200, iwork, &c__400, &
		info);
	if (info != 0) {
	    lmax[3] = *knt;
	    ++ninfo[3];
	    goto L160;
	}
	if (s != stmp) {
	    vmax = 1.f / eps;
	}
	if (-1.f != septmp) {
	    vmax = 1.f / eps;
	}
	i__1 = n;
	for (i__ = 1; i__ <= i__1; ++i__) {
	    i__2 = n;
	    for (j = 1; j <= i__2; ++j) {
		if (ttmp_ref(i__, j) != t_ref(i__, j)) {
		    vmax = 1.f / eps;
		}
		if (qtmp_ref(i__, j) != q_ref(i__, j)) {
		    vmax = 1.f / eps;
		}
/* L80: */
	    }
/* L90: */
	}

/*        Compute invariant subspace condition number only and compare   
          Update Q */

	slacpy_("F", &n, &n, tsav1, &c__20, ttmp, &c__20);
	slacpy_("F", &n, &n, qsav, &c__20, qtmp, &c__20);
	septmp = -1.f;
	stmp = -1.f;
	strsen_("V", "V", select, &n, ttmp, &c__20, qtmp, &c__20, wrtmp, 
		witmp, &m, &stmp, &septmp, work, &c__1200, iwork, &c__400, &
		info);
	if (info != 0) {
	    lmax[3] = *knt;
	    ++ninfo[3];
	    goto L160;
	}
	if (-1.f != stmp) {
	    vmax = 1.f / eps;
	}
	if (sep != septmp) {
	    vmax = 1.f / eps;
	}
	i__1 = n;
	for (i__ = 1; i__ <= i__1; ++i__) {
	    i__2 = n;
	    for (j = 1; j <= i__2; ++j) {
		if (ttmp_ref(i__, j) != t_ref(i__, j)) {
		    vmax = 1.f / eps;
		}
		if (qtmp_ref(i__, j) != q_ref(i__, j)) {
		    vmax = 1.f / eps;
		}
/* L100: */
	    }
/* L110: */
	}

/*        Compute eigenvalue condition number only and compare   
          Do not update Q */

	slacpy_("F", &n, &n, tsav1, &c__20, ttmp, &c__20);
	slacpy_("F", &n, &n, qsav, &c__20, qtmp, &c__20);
	septmp = -1.f;
	stmp = -1.f;
	strsen_("E", "N", select, &n, ttmp, &c__20, qtmp, &c__20, wrtmp, 
		witmp, &m, &stmp, &septmp, work, &c__1200, iwork, &c__400, &
		info);
	if (info != 0) {
	    lmax[3] = *knt;
	    ++ninfo[3];
	    goto L160;
	}
	if (s != stmp) {
	    vmax = 1.f / eps;
	}
	if (-1.f != septmp) {
	    vmax = 1.f / eps;
	}
	i__1 = n;
	for (i__ = 1; i__ <= i__1; ++i__) {
	    i__2 = n;
	    for (j = 1; j <= i__2; ++j) {
		if (ttmp_ref(i__, j) != t_ref(i__, j)) {
		    vmax = 1.f / eps;
		}
		if (qtmp_ref(i__, j) != qsav_ref(i__, j)) {
		    vmax = 1.f / eps;
		}
/* L120: */
	    }
/* L130: */
	}

/*        Compute invariant subspace condition number only and compare   
          Do not update Q */

	slacpy_("F", &n, &n, tsav1, &c__20, ttmp, &c__20);
	slacpy_("F", &n, &n, qsav, &c__20, qtmp, &c__20);
	septmp = -1.f;
	stmp = -1.f;
	strsen_("V", "N", select, &n, ttmp, &c__20, qtmp, &c__20, wrtmp, 
		witmp, &m, &stmp, &septmp, work, &c__1200, iwork, &c__400, &
		info);
	if (info != 0) {
	    lmax[3] = *knt;
	    ++ninfo[3];
	    goto L160;
	}
	if (-1.f != stmp) {
	    vmax = 1.f / eps;
	}
	if (sep != septmp) {
	    vmax = 1.f / eps;
	}
	i__1 = n;
	for (i__ = 1; i__ <= i__1; ++i__) {
	    i__2 = n;
	    for (j = 1; j <= i__2; ++j) {
		if (ttmp_ref(i__, j) != t_ref(i__, j)) {
		    vmax = 1.f / eps;
		}
		if (qtmp_ref(i__, j) != qsav_ref(i__, j)) {
		    vmax = 1.f / eps;
		}
/* L140: */
	    }
/* L150: */
	}
	if (vmax > rmax[1]) {
	    rmax[1] = vmax;
	    if (ninfo[1] == 0) {
		lmax[1] = *knt;
	    }
	}
L160:
	;
    }
    goto L10;

/*     End of SGET38 */

} /* sget38_ */

#undef tmp_ref
#undef t_ref
#undef q_ref
#undef ttmp_ref
#undef qtmp_ref
#undef qsav_ref



.