zget24.c

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/* zget24.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 "blaswrap.h"

/* Common Block Declarations */

struct {
    integer selopt, seldim;
    logical selval[20];
    doublereal selwr[20], selwi[20];
} sslct_;

#define sslct_1 sslct_

/* Table of constant values */

static doublecomplex c_b1 = {0.,0.};
static doublecomplex c_b2 = {1.,0.};
static integer c__1 = 1;
static integer c__4 = 4;

/* Subroutine */ int zget24_(logical *comp, integer *jtype, doublereal *
        thresh, integer *iseed, integer *nounit, integer *n, doublecomplex *a, 
         integer *lda, doublecomplex *h__, doublecomplex *ht, doublecomplex *
        w, doublecomplex *wt, doublecomplex *wtmp, doublecomplex *vs, integer 
        *ldvs, doublecomplex *vs1, doublereal *rcdein, doublereal *rcdvin, 
        integer *nslct, integer *islct, integer *isrt, doublereal *result, 
        doublecomplex *work, integer *lwork, doublereal *rwork, logical *
        bwork, integer *info)
{
    /* Format strings */
    static char fmt_9998[] = "(\002 ZGET24: \002,a,\002 returned INFO=\002,i"
            "6,\002.\002,/9x,\002N=\002,i6,\002, JTYPE=\002,i6,\002, ISEED="
            "(\002,3(i5,\002,\002),i5,\002)\002)";
    static char fmt_9999[] = "(\002 ZGET24: \002,a,\002 returned INFO=\002,i"
            "6,\002.\002,/9x,\002N=\002,i6,\002, INPUT EXAMPLE NUMBER = \002,"
            "i4)";

    /* System generated locals */
    integer a_dim1, a_offset, h_dim1, h_offset, ht_dim1, ht_offset, vs_dim1, 
            vs_offset, vs1_dim1, vs1_offset, i__1, i__2, i__3, i__4;
    doublereal d__1, d__2;
    doublecomplex z__1;

    /* Builtin functions */
    integer s_wsfe(cilist *), do_fio(integer *, char *, ftnlen), e_wsfe(void);
    double d_imag(doublecomplex *);

    /* Local variables */
    integer i__, j;
    doublereal v, eps, tol, ulp;
    integer sdim, kmin;
    doublecomplex ctmp;
    integer itmp, ipnt[20], rsub;
    char sort[1];
    integer sdim1, iinfo;
    doublereal anorm;
    extern /* Subroutine */ int zgemm_(char *, char *, integer *, integer *, 
            integer *, doublecomplex *, doublecomplex *, integer *, 
            doublecomplex *, integer *, doublecomplex *, doublecomplex *, 
            integer *);
    doublereal tolin;
    integer isort;
    extern /* Subroutine */ int zunt01_(char *, integer *, integer *, 
            doublecomplex *, integer *, doublecomplex *, integer *, 
            doublereal *, doublereal *);
    doublereal wnorm;
    extern /* Subroutine */ int zcopy_(integer *, doublecomplex *, integer *, 
            doublecomplex *, integer *);
    doublereal rcnde1, rcndv1;
    extern doublereal dlamch_(char *);
    doublereal rconde;
    extern /* Subroutine */ int xerbla_(char *, integer *);
    extern doublereal zlange_(char *, integer *, integer *, doublecomplex *, 
            integer *, doublereal *);
    integer knteig;
    doublereal rcondv, vricmp;
    extern /* Subroutine */ int zlacpy_(char *, integer *, integer *, 
            doublecomplex *, integer *, doublecomplex *, integer *);
    doublereal vrimin;
    extern logical zslect_(doublecomplex *);
    extern /* Subroutine */ int zgeesx_(char *, char *, L_fp, char *, integer 
            *, doublecomplex *, integer *, integer *, doublecomplex *, 
            doublecomplex *, integer *, doublereal *, doublereal *, 
            doublecomplex *, integer *, doublereal *, logical *, integer *);
    doublereal smlnum, ulpinv;

    /* Fortran I/O blocks */
    static cilist io___12 = { 0, 0, 0, fmt_9998, 0 };
    static cilist io___13 = { 0, 0, 0, fmt_9999, 0 };
    static cilist io___17 = { 0, 0, 0, fmt_9998, 0 };
    static cilist io___18 = { 0, 0, 0, fmt_9999, 0 };
    static cilist io___21 = { 0, 0, 0, fmt_9998, 0 };
    static cilist io___22 = { 0, 0, 0, fmt_9999, 0 };
    static cilist io___25 = { 0, 0, 0, fmt_9998, 0 };
    static cilist io___26 = { 0, 0, 0, fmt_9999, 0 };
    static cilist io___27 = { 0, 0, 0, fmt_9998, 0 };
    static cilist io___28 = { 0, 0, 0, fmt_9999, 0 };
    static cilist io___29 = { 0, 0, 0, fmt_9998, 0 };
    static cilist io___30 = { 0, 0, 0, fmt_9999, 0 };
    static cilist io___31 = { 0, 0, 0, fmt_9998, 0 };
    static cilist io___32 = { 0, 0, 0, fmt_9999, 0 };
    static cilist io___33 = { 0, 0, 0, fmt_9998, 0 };
    static cilist io___34 = { 0, 0, 0, fmt_9999, 0 };
    static cilist io___42 = { 0, 0, 0, fmt_9999, 0 };



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

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

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

/*     ZGET24 checks the nonsymmetric eigenvalue (Schur form) problem */
/*     expert driver ZGEESX. */

/*     If COMP = .FALSE., the first 13 of the following tests will be */
/*     be performed on the input matrix A, and also tests 14 and 15 */
/*     if LWORK is sufficiently large. */
/*     If COMP = .TRUE., all 17 test will be performed. */

/*     (1)     0 if T is in Schur form, 1/ulp otherwise */
/*            (no sorting of eigenvalues) */

/*     (2)     | A - VS T VS' | / ( n |A| ulp ) */

/*       Here VS is the matrix of Schur eigenvectors, and T is in Schur */
/*       form  (no sorting of eigenvalues). */

/*     (3)     | I - VS VS' | / ( n ulp ) (no sorting of eigenvalues). */

/*     (4)     0     if W are eigenvalues of T */
/*             1/ulp otherwise */
/*             (no sorting of eigenvalues) */

/*     (5)     0     if T(with VS) = T(without VS), */
/*             1/ulp otherwise */
/*             (no sorting of eigenvalues) */

/*     (6)     0     if eigenvalues(with VS) = eigenvalues(without VS), */
/*             1/ulp otherwise */
/*             (no sorting of eigenvalues) */

/*     (7)     0 if T is in Schur form, 1/ulp otherwise */
/*             (with sorting of eigenvalues) */

/*     (8)     | A - VS T VS' | / ( n |A| ulp ) */

/*       Here VS is the matrix of Schur eigenvectors, and T is in Schur */
/*       form  (with sorting of eigenvalues). */

/*     (9)     | I - VS VS' | / ( n ulp ) (with sorting of eigenvalues). */

/*     (10)    0     if W are eigenvalues of T */
/*             1/ulp otherwise */
/*             If workspace sufficient, also compare W with and */
/*             without reciprocal condition numbers */
/*             (with sorting of eigenvalues) */

/*     (11)    0     if T(with VS) = T(without VS), */
/*             1/ulp otherwise */
/*             If workspace sufficient, also compare T with and without */
/*             reciprocal condition numbers */
/*             (with sorting of eigenvalues) */

/*     (12)    0     if eigenvalues(with VS) = eigenvalues(without VS), */
/*             1/ulp otherwise */
/*             If workspace sufficient, also compare VS with and without */
/*             reciprocal condition numbers */
/*             (with sorting of eigenvalues) */

/*     (13)    if sorting worked and SDIM is the number of */
/*             eigenvalues which were SELECTed */
/*             If workspace sufficient, also compare SDIM with and */
/*             without reciprocal condition numbers */

/*     (14)    if RCONDE the same no matter if VS and/or RCONDV computed */

/*     (15)    if RCONDV the same no matter if VS and/or RCONDE computed */

/*     (16)  |RCONDE - RCDEIN| / cond(RCONDE) */

/*        RCONDE is the reciprocal average eigenvalue condition number */
/*        computed by ZGEESX and RCDEIN (the precomputed true value) */
/*        is supplied as input.  cond(RCONDE) is the condition number */
/*        of RCONDE, and takes errors in computing RCONDE into account, */
/*        so that the resulting quantity should be O(ULP). cond(RCONDE) */
/*        is essentially given by norm(A)/RCONDV. */

/*     (17)  |RCONDV - RCDVIN| / cond(RCONDV) */

/*        RCONDV is the reciprocal right invariant subspace condition */
/*        number computed by ZGEESX and RCDVIN (the precomputed true */
/*        value) is supplied as input. cond(RCONDV) is the condition */
/*        number of RCONDV, and takes errors in computing RCONDV into */
/*        account, so that the resulting quantity should be O(ULP). */
/*        cond(RCONDV) is essentially given by norm(A)/RCONDE. */

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

/*  COMP    (input) LOGICAL */
/*          COMP describes which input tests to perform: */
/*            = .FALSE. if the computed condition numbers are not to */
/*                      be tested against RCDVIN and RCDEIN */
/*            = .TRUE.  if they are to be compared */

/*  JTYPE   (input) INTEGER */
/*          Type of input matrix. Used to label output if error occurs. */

/*  ISEED   (input) INTEGER array, dimension (4) */
/*          If COMP = .FALSE., the random number generator seed */
/*          used to produce matrix. */
/*          If COMP = .TRUE., ISEED(1) = the number of the example. */
/*          Used to label output if error occurs. */

/*  THRESH  (input) DOUBLE PRECISION */
/*          A test will count as "failed" if the "error", computed as */
/*          described above, exceeds THRESH.  Note that the error */
/*          is scaled to be O(1), so THRESH should be a reasonably */
/*          small multiple of 1, e.g., 10 or 100.  In particular, */
/*          it should not depend on the precision (single vs. double) */
/*          or the size of the matrix.  It must be at least zero. */

/*  NOUNIT  (input) INTEGER */
/*          The FORTRAN unit number for printing out error messages */
/*          (e.g., if a routine returns INFO not equal to 0.) */

/*  N       (input) INTEGER */
/*          The dimension of A. N must be at least 0. */

/*  A       (input/output) COMPLEX*16 array, dimension (LDA, N) */
/*          Used to hold the matrix whose eigenvalues are to be */
/*          computed. */

/*  LDA     (input) INTEGER */
/*          The leading dimension of A, and H. LDA must be at */
/*          least 1 and at least N. */

/*  H       (workspace) COMPLEX*16 array, dimension (LDA, N) */
/*          Another copy of the test matrix A, modified by ZGEESX. */

/*  HT      (workspace) COMPLEX*16 array, dimension (LDA, N) */
/*          Yet another copy of the test matrix A, modified by ZGEESX. */

/*  W       (workspace) COMPLEX*16 array, dimension (N) */
/*          The computed eigenvalues of A. */

/*  WT      (workspace) COMPLEX*16 array, dimension (N) */
/*          Like W, this array contains the eigenvalues of A, */
/*          but those computed when ZGEESX only computes a partial */
/*          eigendecomposition, i.e. not Schur vectors */

/*  WTMP    (workspace) COMPLEX*16 array, dimension (N) */
/*          Like W, this array contains the eigenvalues of A, */
/*          but sorted by increasing real or imaginary part. */

/*  VS      (workspace) COMPLEX*16 array, dimension (LDVS, N) */
/*          VS holds the computed Schur vectors. */

/*  LDVS    (input) INTEGER */
/*          Leading dimension of VS. Must be at least max(1, N). */

/*  VS1     (workspace) COMPLEX*16 array, dimension (LDVS, N) */
/*          VS1 holds another copy of the computed Schur vectors. */

/*  RCDEIN  (input) DOUBLE PRECISION */
/*          When COMP = .TRUE. RCDEIN holds the precomputed reciprocal */
/*          condition number for the average of selected eigenvalues. */

/*  RCDVIN  (input) DOUBLE PRECISION */
/*          When COMP = .TRUE. RCDVIN holds the precomputed reciprocal */
/*          condition number for the selected right invariant subspace. */

/*  NSLCT   (input) INTEGER */
/*          When COMP = .TRUE. the number of selected eigenvalues */
/*          corresponding to the precomputed values RCDEIN and RCDVIN. */

/*  ISLCT   (input) INTEGER array, dimension (NSLCT) */
/*          When COMP = .TRUE. ISLCT selects the eigenvalues of the */
/*          input matrix corresponding to the precomputed values RCDEIN */
/*          and RCDVIN. For I=1, ... ,NSLCT, if ISLCT(I) = J, then the */
/*          eigenvalue with the J-th largest real or imaginary part is */
/*          selected. The real part is used if ISRT = 0, and the */
/*          imaginary part if ISRT = 1. */
/*          Not referenced if COMP = .FALSE. */

/*  ISRT    (input) INTEGER */
/*          When COMP = .TRUE., ISRT describes how ISLCT is used to */
/*          choose a subset of the spectrum. */
/*          Not referenced if COMP = .FALSE. */

/*  RESULT  (output) DOUBLE PRECISION array, dimension (17) */
/*          The values computed by the 17 tests described above. */
/*          The values are currently limited to 1/ulp, to avoid */
/*          overflow. */

/*  WORK    (workspace) COMPLEX*16 array, dimension (2*N*N) */

/*  LWORK   (input) INTEGER */
/*          The number of entries in WORK to be passed to ZGEESX. This */
/*          must be at least 2*N, and N*(N+1)/2 if tests 14--16 are to */
/*          be performed. */

/*  RWORK   (workspace) DOUBLE PRECISION array, dimension (N) */

/*  BWORK   (workspace) LOGICAL array, dimension (N) */

/*  INFO    (output) INTEGER */
/*          If 0,  successful exit. */
/*          If <0, input parameter -INFO had an incorrect value. */
/*          If >0, ZGEESX returned an error code, the absolute */
/*                 value of which is returned. */

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

/*     .. Parameters .. */
/*     .. */
/*     .. Local Scalars .. */
/*     .. */
/*     .. Local Arrays .. */
/*     .. */
/*     .. External Functions .. */
/*     .. */
/*     .. External Subroutines .. */
/*     .. */
/*     .. Intrinsic Functions .. */
/*     .. */
/*     .. Arrays in Common .. */
/*     .. */
/*     .. Scalars in Common .. */
/*     .. */
/*     .. Common blocks .. */
/*     .. */
/*     .. Executable Statements .. */

/*     Check for errors */

    /* Parameter adjustments */
    --iseed;
    ht_dim1 = *lda;
    ht_offset = 1 + ht_dim1;
    ht -= ht_offset;
    h_dim1 = *lda;
    h_offset = 1 + h_dim1;
    h__ -= h_offset;
    a_dim1 = *lda;
    a_offset = 1 + a_dim1;
    a -= a_offset;
    --w;
    --wt;
    --wtmp;
    vs1_dim1 = *ldvs;
    vs1_offset = 1 + vs1_dim1;
    vs1 -= vs1_offset;
    vs_dim1 = *ldvs;
    vs_offset = 1 + vs_dim1;
    vs -= vs_offset;
    --islct;
    --result;
    --work;
    --rwork;
    --bwork;

    /* Function Body */
    *info = 0;
    if (*thresh < 0.) {
        *info = -3;
    } else if (*nounit <= 0) {
        *info = -5;
    } else if (*n < 0) {
        *info = -6;
    } else if (*lda < 1 || *lda < *n) {
        *info = -8;
    } else if (*ldvs < 1 || *ldvs < *n) {
        *info = -15;
    } else if (*lwork < *n << 1) {
        *info = -24;
    }

    if (*info != 0) {
        i__1 = -(*info);
        xerbla_("ZGET24", &i__1);
        return 0;
    }

/*     Quick return if nothing to do */

    for (i__ = 1; i__ <= 17; ++i__) {
        result[i__] = -1.;
/* L10: */
    }

    if (*n == 0) {
        return 0;
    }

/*     Important constants */

    smlnum = dlamch_("Safe minimum");
    ulp = dlamch_("Precision");
    ulpinv = 1. / ulp;

/*     Perform tests (1)-(13) */

    sslct_1.selopt = 0;
    for (isort = 0; isort <= 1; ++isort) {
        if (isort == 0) {
            *(unsigned char *)sort = 'N';
            rsub = 0;
        } else {
            *(unsigned char *)sort = 'S';
            rsub = 6;
        }

/*        Compute Schur form and Schur vectors, and test them */

        zlacpy_("F", n, n, &a[a_offset], lda, &h__[h_offset], lda);
        zgeesx_("V", sort, (L_fp)zslect_, "N", n, &h__[h_offset], lda, &sdim, 
                &w[1], &vs[vs_offset], ldvs, &rconde, &rcondv, &work[1], 
                lwork, &rwork[1], &bwork[1], &iinfo);
        if (iinfo != 0) {
            result[rsub + 1] = ulpinv;
            if (*jtype != 22) {
                io___12.ciunit = *nounit;
                s_wsfe(&io___12);
                do_fio(&c__1, "ZGEESX1", (ftnlen)7);
                do_fio(&c__1, (char *)&iinfo, (ftnlen)sizeof(integer));
                do_fio(&c__1, (char *)&(*n), (ftnlen)sizeof(integer));
                do_fio(&c__1, (char *)&(*jtype), (ftnlen)sizeof(integer));
                do_fio(&c__4, (char *)&iseed[1], (ftnlen)sizeof(integer));
                e_wsfe();
            } else {
                io___13.ciunit = *nounit;
                s_wsfe(&io___13);
                do_fio(&c__1, "ZGEESX1", (ftnlen)7);
                do_fio(&c__1, (char *)&iinfo, (ftnlen)sizeof(integer));
                do_fio(&c__1, (char *)&(*n), (ftnlen)sizeof(integer));
                do_fio(&c__1, (char *)&iseed[1], (ftnlen)sizeof(integer));
                e_wsfe();
            }
            *info = abs(iinfo);
            return 0;
        }
        if (isort == 0) {
            zcopy_(n, &w[1], &c__1, &wtmp[1], &c__1);
        }

/*        Do Test (1) or Test (7) */

        result[rsub + 1] = 0.;
        i__1 = *n - 1;
        for (j = 1; j <= i__1; ++j) {
            i__2 = *n;
            for (i__ = j + 1; i__ <= i__2; ++i__) {
                i__3 = i__ + j * h_dim1;
                if (h__[i__3].r != 0. || h__[i__3].i != 0.) {
                    result[rsub + 1] = ulpinv;
                }
/* L20: */
            }
/* L30: */
        }

/*        Test (2) or (8): Compute norm(A - Q*H*Q') / (norm(A) * N * ULP) */

/*        Copy A to VS1, used as workspace */

        zlacpy_(" ", n, n, &a[a_offset], lda, &vs1[vs1_offset], ldvs);

/*        Compute Q*H and store in HT. */

        zgemm_("No transpose", "No transpose", n, n, n, &c_b2, &vs[vs_offset], 
                 ldvs, &h__[h_offset], lda, &c_b1, &ht[ht_offset], lda);

/*        Compute A - Q*H*Q' */

        z__1.r = -1., z__1.i = -0.;
        zgemm_("No transpose", "Conjugate transpose", n, n, n, &z__1, &ht[
                ht_offset], lda, &vs[vs_offset], ldvs, &c_b2, &vs1[vs1_offset]
, ldvs);

/* Computing MAX */
        d__1 = zlange_("1", n, n, &a[a_offset], lda, &rwork[1]);
        anorm = max(d__1,smlnum);
        wnorm = zlange_("1", n, n, &vs1[vs1_offset], ldvs, &rwork[1]);

        if (anorm > wnorm) {
            result[rsub + 2] = wnorm / anorm / (*n * ulp);
        } else {
            if (anorm < 1.) {
/* Computing MIN */
                d__1 = wnorm, d__2 = *n * anorm;
                result[rsub + 2] = min(d__1,d__2) / anorm / (*n * ulp);
            } else {
/* Computing MIN */
                d__1 = wnorm / anorm, d__2 = (doublereal) (*n);
                result[rsub + 2] = min(d__1,d__2) / (*n * ulp);
            }
        }

/*        Test (3) or (9):  Compute norm( I - Q'*Q ) / ( N * ULP ) */

        zunt01_("Columns", n, n, &vs[vs_offset], ldvs, &work[1], lwork, &
                rwork[1], &result[rsub + 3]);

/*        Do Test (4) or Test (10) */

        result[rsub + 4] = 0.;
        i__1 = *n;
        for (i__ = 1; i__ <= i__1; ++i__) {
            i__2 = i__ + i__ * h_dim1;
            i__3 = i__;
            if (h__[i__2].r != w[i__3].r || h__[i__2].i != w[i__3].i) {
                result[rsub + 4] = ulpinv;
            }
/* L40: */
        }

/*        Do Test (5) or Test (11) */

        zlacpy_("F", n, n, &a[a_offset], lda, &ht[ht_offset], lda);
        zgeesx_("N", sort, (L_fp)zslect_, "N", n, &ht[ht_offset], lda, &sdim, 
                &wt[1], &vs[vs_offset], ldvs, &rconde, &rcondv, &work[1], 
                lwork, &rwork[1], &bwork[1], &iinfo);
        if (iinfo != 0) {
            result[rsub + 5] = ulpinv;
            if (*jtype != 22) {
                io___17.ciunit = *nounit;
                s_wsfe(&io___17);
                do_fio(&c__1, "ZGEESX2", (ftnlen)7);
                do_fio(&c__1, (char *)&iinfo, (ftnlen)sizeof(integer));
                do_fio(&c__1, (char *)&(*n), (ftnlen)sizeof(integer));
                do_fio(&c__1, (char *)&(*jtype), (ftnlen)sizeof(integer));
                do_fio(&c__4, (char *)&iseed[1], (ftnlen)sizeof(integer));
                e_wsfe();
            } else {
                io___18.ciunit = *nounit;
                s_wsfe(&io___18);
                do_fio(&c__1, "ZGEESX2", (ftnlen)7);
                do_fio(&c__1, (char *)&iinfo, (ftnlen)sizeof(integer));
                do_fio(&c__1, (char *)&(*n), (ftnlen)sizeof(integer));
                do_fio(&c__1, (char *)&iseed[1], (ftnlen)sizeof(integer));
                e_wsfe();
            }
            *info = abs(iinfo);
            goto L220;
        }

        result[rsub + 5] = 0.;
        i__1 = *n;
        for (j = 1; j <= i__1; ++j) {
            i__2 = *n;
            for (i__ = 1; i__ <= i__2; ++i__) {
                i__3 = i__ + j * h_dim1;
                i__4 = i__ + j * ht_dim1;
                if (h__[i__3].r != ht[i__4].r || h__[i__3].i != ht[i__4].i) {
                    result[rsub + 5] = ulpinv;
                }
/* L50: */
            }
/* L60: */
        }

/*        Do Test (6) or Test (12) */

        result[rsub + 6] = 0.;
        i__1 = *n;
        for (i__ = 1; i__ <= i__1; ++i__) {
            i__2 = i__;
            i__3 = i__;
            if (w[i__2].r != wt[i__3].r || w[i__2].i != wt[i__3].i) {
                result[rsub + 6] = ulpinv;
            }
/* L70: */
        }

/*        Do Test (13) */

        if (isort == 1) {
            result[13] = 0.;
            knteig = 0;
            i__1 = *n;
            for (i__ = 1; i__ <= i__1; ++i__) {
                if (zslect_(&w[i__])) {
                    ++knteig;
                }
                if (i__ < *n) {
                    if (zslect_(&w[i__ + 1]) && ! zslect_(&w[i__])) {
                        result[13] = ulpinv;
                    }
                }
/* L80: */
            }
            if (sdim != knteig) {
                result[13] = ulpinv;
            }
        }

/* L90: */
    }

/*     If there is enough workspace, perform tests (14) and (15) */
/*     as well as (10) through (13) */

    if (*lwork >= *n * (*n + 1) / 2) {

/*        Compute both RCONDE and RCONDV with VS */

        *(unsigned char *)sort = 'S';
        result[14] = 0.;
        result[15] = 0.;
        zlacpy_("F", n, n, &a[a_offset], lda, &ht[ht_offset], lda);
        zgeesx_("V", sort, (L_fp)zslect_, "B", n, &ht[ht_offset], lda, &sdim1, 
                 &wt[1], &vs1[vs1_offset], ldvs, &rconde, &rcondv, &work[1], 
                lwork, &rwork[1], &bwork[1], &iinfo);
        if (iinfo != 0) {
            result[14] = ulpinv;
            result[15] = ulpinv;
            if (*jtype != 22) {
                io___21.ciunit = *nounit;
                s_wsfe(&io___21);
                do_fio(&c__1, "ZGEESX3", (ftnlen)7);
                do_fio(&c__1, (char *)&iinfo, (ftnlen)sizeof(integer));
                do_fio(&c__1, (char *)&(*n), (ftnlen)sizeof(integer));
                do_fio(&c__1, (char *)&(*jtype), (ftnlen)sizeof(integer));
                do_fio(&c__4, (char *)&iseed[1], (ftnlen)sizeof(integer));
                e_wsfe();
            } else {
                io___22.ciunit = *nounit;
                s_wsfe(&io___22);
                do_fio(&c__1, "ZGEESX3", (ftnlen)7);
                do_fio(&c__1, (char *)&iinfo, (ftnlen)sizeof(integer));
                do_fio(&c__1, (char *)&(*n), (ftnlen)sizeof(integer));
                do_fio(&c__1, (char *)&iseed[1], (ftnlen)sizeof(integer));
                e_wsfe();
            }
            *info = abs(iinfo);
            goto L220;
        }

/*        Perform tests (10), (11), (12), and (13) */

        i__1 = *n;
        for (i__ = 1; i__ <= i__1; ++i__) {
            i__2 = i__;
            i__3 = i__;
            if (w[i__2].r != wt[i__3].r || w[i__2].i != wt[i__3].i) {
                result[10] = ulpinv;
            }
            i__2 = *n;
            for (j = 1; j <= i__2; ++j) {
                i__3 = i__ + j * h_dim1;
                i__4 = i__ + j * ht_dim1;
                if (h__[i__3].r != ht[i__4].r || h__[i__3].i != ht[i__4].i) {
                    result[11] = ulpinv;
                }
                i__3 = i__ + j * vs_dim1;
                i__4 = i__ + j * vs1_dim1;
                if (vs[i__3].r != vs1[i__4].r || vs[i__3].i != vs1[i__4].i) {
                    result[12] = ulpinv;
                }
/* L100: */
            }
/* L110: */
        }
        if (sdim != sdim1) {
            result[13] = ulpinv;
        }

/*        Compute both RCONDE and RCONDV without VS, and compare */

        zlacpy_("F", n, n, &a[a_offset], lda, &ht[ht_offset], lda);
        zgeesx_("N", sort, (L_fp)zslect_, "B", n, &ht[ht_offset], lda, &sdim1, 
                 &wt[1], &vs1[vs1_offset], ldvs, &rcnde1, &rcndv1, &work[1], 
                lwork, &rwork[1], &bwork[1], &iinfo);
        if (iinfo != 0) {
            result[14] = ulpinv;
            result[15] = ulpinv;
            if (*jtype != 22) {
                io___25.ciunit = *nounit;
                s_wsfe(&io___25);
                do_fio(&c__1, "ZGEESX4", (ftnlen)7);
                do_fio(&c__1, (char *)&iinfo, (ftnlen)sizeof(integer));
                do_fio(&c__1, (char *)&(*n), (ftnlen)sizeof(integer));
                do_fio(&c__1, (char *)&(*jtype), (ftnlen)sizeof(integer));
                do_fio(&c__4, (char *)&iseed[1], (ftnlen)sizeof(integer));
                e_wsfe();
            } else {
                io___26.ciunit = *nounit;
                s_wsfe(&io___26);
                do_fio(&c__1, "ZGEESX4", (ftnlen)7);
                do_fio(&c__1, (char *)&iinfo, (ftnlen)sizeof(integer));
                do_fio(&c__1, (char *)&(*n), (ftnlen)sizeof(integer));
                do_fio(&c__1, (char *)&iseed[1], (ftnlen)sizeof(integer));
                e_wsfe();
            }
            *info = abs(iinfo);
            goto L220;
        }

/*        Perform tests (14) and (15) */

        if (rcnde1 != rconde) {
            result[14] = ulpinv;
        }
        if (rcndv1 != rcondv) {
            result[15] = ulpinv;
        }

/*        Perform tests (10), (11), (12), and (13) */

        i__1 = *n;
        for (i__ = 1; i__ <= i__1; ++i__) {
            i__2 = i__;
            i__3 = i__;
            if (w[i__2].r != wt[i__3].r || w[i__2].i != wt[i__3].i) {
                result[10] = ulpinv;
            }
            i__2 = *n;
            for (j = 1; j <= i__2; ++j) {
                i__3 = i__ + j * h_dim1;
                i__4 = i__ + j * ht_dim1;
                if (h__[i__3].r != ht[i__4].r || h__[i__3].i != ht[i__4].i) {
                    result[11] = ulpinv;
                }
                i__3 = i__ + j * vs_dim1;
                i__4 = i__ + j * vs1_dim1;
                if (vs[i__3].r != vs1[i__4].r || vs[i__3].i != vs1[i__4].i) {
                    result[12] = ulpinv;
                }
/* L120: */
            }
/* L130: */
        }
        if (sdim != sdim1) {
            result[13] = ulpinv;
        }

/*        Compute RCONDE with VS, and compare */

        zlacpy_("F", n, n, &a[a_offset], lda, &ht[ht_offset], lda);
        zgeesx_("V", sort, (L_fp)zslect_, "E", n, &ht[ht_offset], lda, &sdim1, 
                 &wt[1], &vs1[vs1_offset], ldvs, &rcnde1, &rcndv1, &work[1], 
                lwork, &rwork[1], &bwork[1], &iinfo);
        if (iinfo != 0) {
            result[14] = ulpinv;
            if (*jtype != 22) {
                io___27.ciunit = *nounit;
                s_wsfe(&io___27);
                do_fio(&c__1, "ZGEESX5", (ftnlen)7);
                do_fio(&c__1, (char *)&iinfo, (ftnlen)sizeof(integer));
                do_fio(&c__1, (char *)&(*n), (ftnlen)sizeof(integer));
                do_fio(&c__1, (char *)&(*jtype), (ftnlen)sizeof(integer));
                do_fio(&c__4, (char *)&iseed[1], (ftnlen)sizeof(integer));
                e_wsfe();
            } else {
                io___28.ciunit = *nounit;
                s_wsfe(&io___28);
                do_fio(&c__1, "ZGEESX5", (ftnlen)7);
                do_fio(&c__1, (char *)&iinfo, (ftnlen)sizeof(integer));
                do_fio(&c__1, (char *)&(*n), (ftnlen)sizeof(integer));
                do_fio(&c__1, (char *)&iseed[1], (ftnlen)sizeof(integer));
                e_wsfe();
            }
            *info = abs(iinfo);
            goto L220;
        }

/*        Perform test (14) */

        if (rcnde1 != rconde) {
            result[14] = ulpinv;
        }

/*        Perform tests (10), (11), (12), and (13) */

        i__1 = *n;
        for (i__ = 1; i__ <= i__1; ++i__) {
            i__2 = i__;
            i__3 = i__;
            if (w[i__2].r != wt[i__3].r || w[i__2].i != wt[i__3].i) {
                result[10] = ulpinv;
            }
            i__2 = *n;
            for (j = 1; j <= i__2; ++j) {
                i__3 = i__ + j * h_dim1;
                i__4 = i__ + j * ht_dim1;
                if (h__[i__3].r != ht[i__4].r || h__[i__3].i != ht[i__4].i) {
                    result[11] = ulpinv;
                }
                i__3 = i__ + j * vs_dim1;
                i__4 = i__ + j * vs1_dim1;
                if (vs[i__3].r != vs1[i__4].r || vs[i__3].i != vs1[i__4].i) {
                    result[12] = ulpinv;
                }
/* L140: */
            }
/* L150: */
        }
        if (sdim != sdim1) {
            result[13] = ulpinv;
        }

/*        Compute RCONDE without VS, and compare */

        zlacpy_("F", n, n, &a[a_offset], lda, &ht[ht_offset], lda);
        zgeesx_("N", sort, (L_fp)zslect_, "E", n, &ht[ht_offset], lda, &sdim1, 
                 &wt[1], &vs1[vs1_offset], ldvs, &rcnde1, &rcndv1, &work[1], 
                lwork, &rwork[1], &bwork[1], &iinfo);
        if (iinfo != 0) {
            result[14] = ulpinv;
            if (*jtype != 22) {
                io___29.ciunit = *nounit;
                s_wsfe(&io___29);
                do_fio(&c__1, "ZGEESX6", (ftnlen)7);
                do_fio(&c__1, (char *)&iinfo, (ftnlen)sizeof(integer));
                do_fio(&c__1, (char *)&(*n), (ftnlen)sizeof(integer));
                do_fio(&c__1, (char *)&(*jtype), (ftnlen)sizeof(integer));
                do_fio(&c__4, (char *)&iseed[1], (ftnlen)sizeof(integer));
                e_wsfe();
            } else {
                io___30.ciunit = *nounit;
                s_wsfe(&io___30);
                do_fio(&c__1, "ZGEESX6", (ftnlen)7);
                do_fio(&c__1, (char *)&iinfo, (ftnlen)sizeof(integer));
                do_fio(&c__1, (char *)&(*n), (ftnlen)sizeof(integer));
                do_fio(&c__1, (char *)&iseed[1], (ftnlen)sizeof(integer));
                e_wsfe();
            }
            *info = abs(iinfo);
            goto L220;
        }

/*        Perform test (14) */

        if (rcnde1 != rconde) {
            result[14] = ulpinv;
        }

/*        Perform tests (10), (11), (12), and (13) */

        i__1 = *n;
        for (i__ = 1; i__ <= i__1; ++i__) {
            i__2 = i__;
            i__3 = i__;
            if (w[i__2].r != wt[i__3].r || w[i__2].i != wt[i__3].i) {
                result[10] = ulpinv;
            }
            i__2 = *n;
            for (j = 1; j <= i__2; ++j) {
                i__3 = i__ + j * h_dim1;
                i__4 = i__ + j * ht_dim1;
                if (h__[i__3].r != ht[i__4].r || h__[i__3].i != ht[i__4].i) {
                    result[11] = ulpinv;
                }
                i__3 = i__ + j * vs_dim1;
                i__4 = i__ + j * vs1_dim1;
                if (vs[i__3].r != vs1[i__4].r || vs[i__3].i != vs1[i__4].i) {
                    result[12] = ulpinv;
                }
/* L160: */
            }
/* L170: */
        }
        if (sdim != sdim1) {
            result[13] = ulpinv;
        }

/*        Compute RCONDV with VS, and compare */

        zlacpy_("F", n, n, &a[a_offset], lda, &ht[ht_offset], lda);
        zgeesx_("V", sort, (L_fp)zslect_, "V", n, &ht[ht_offset], lda, &sdim1, 
                 &wt[1], &vs1[vs1_offset], ldvs, &rcnde1, &rcndv1, &work[1], 
                lwork, &rwork[1], &bwork[1], &iinfo);
        if (iinfo != 0) {
            result[15] = ulpinv;
            if (*jtype != 22) {
                io___31.ciunit = *nounit;
                s_wsfe(&io___31);
                do_fio(&c__1, "ZGEESX7", (ftnlen)7);
                do_fio(&c__1, (char *)&iinfo, (ftnlen)sizeof(integer));
                do_fio(&c__1, (char *)&(*n), (ftnlen)sizeof(integer));
                do_fio(&c__1, (char *)&(*jtype), (ftnlen)sizeof(integer));
                do_fio(&c__4, (char *)&iseed[1], (ftnlen)sizeof(integer));
                e_wsfe();
            } else {
                io___32.ciunit = *nounit;
                s_wsfe(&io___32);
                do_fio(&c__1, "ZGEESX7", (ftnlen)7);
                do_fio(&c__1, (char *)&iinfo, (ftnlen)sizeof(integer));
                do_fio(&c__1, (char *)&(*n), (ftnlen)sizeof(integer));
                do_fio(&c__1, (char *)&iseed[1], (ftnlen)sizeof(integer));
                e_wsfe();
            }
            *info = abs(iinfo);
            goto L220;
        }

/*        Perform test (15) */

        if (rcndv1 != rcondv) {
            result[15] = ulpinv;
        }

/*        Perform tests (10), (11), (12), and (13) */

        i__1 = *n;
        for (i__ = 1; i__ <= i__1; ++i__) {
            i__2 = i__;
            i__3 = i__;
            if (w[i__2].r != wt[i__3].r || w[i__2].i != wt[i__3].i) {
                result[10] = ulpinv;
            }
            i__2 = *n;
            for (j = 1; j <= i__2; ++j) {
                i__3 = i__ + j * h_dim1;
                i__4 = i__ + j * ht_dim1;
                if (h__[i__3].r != ht[i__4].r || h__[i__3].i != ht[i__4].i) {
                    result[11] = ulpinv;
                }
                i__3 = i__ + j * vs_dim1;
                i__4 = i__ + j * vs1_dim1;
                if (vs[i__3].r != vs1[i__4].r || vs[i__3].i != vs1[i__4].i) {
                    result[12] = ulpinv;
                }
/* L180: */
            }
/* L190: */
        }
        if (sdim != sdim1) {
            result[13] = ulpinv;
        }

/*        Compute RCONDV without VS, and compare */

        zlacpy_("F", n, n, &a[a_offset], lda, &ht[ht_offset], lda);
        zgeesx_("N", sort, (L_fp)zslect_, "V", n, &ht[ht_offset], lda, &sdim1, 
                 &wt[1], &vs1[vs1_offset], ldvs, &rcnde1, &rcndv1, &work[1], 
                lwork, &rwork[1], &bwork[1], &iinfo);
        if (iinfo != 0) {
            result[15] = ulpinv;
            if (*jtype != 22) {
                io___33.ciunit = *nounit;
                s_wsfe(&io___33);
                do_fio(&c__1, "ZGEESX8", (ftnlen)7);
                do_fio(&c__1, (char *)&iinfo, (ftnlen)sizeof(integer));
                do_fio(&c__1, (char *)&(*n), (ftnlen)sizeof(integer));
                do_fio(&c__1, (char *)&(*jtype), (ftnlen)sizeof(integer));
                do_fio(&c__4, (char *)&iseed[1], (ftnlen)sizeof(integer));
                e_wsfe();
            } else {
                io___34.ciunit = *nounit;
                s_wsfe(&io___34);
                do_fio(&c__1, "ZGEESX8", (ftnlen)7);
                do_fio(&c__1, (char *)&iinfo, (ftnlen)sizeof(integer));
                do_fio(&c__1, (char *)&(*n), (ftnlen)sizeof(integer));
                do_fio(&c__1, (char *)&iseed[1], (ftnlen)sizeof(integer));
                e_wsfe();
            }
            *info = abs(iinfo);
            goto L220;
        }

/*        Perform test (15) */

        if (rcndv1 != rcondv) {
            result[15] = ulpinv;
        }

/*        Perform tests (10), (11), (12), and (13) */

        i__1 = *n;
        for (i__ = 1; i__ <= i__1; ++i__) {
            i__2 = i__;
            i__3 = i__;
            if (w[i__2].r != wt[i__3].r || w[i__2].i != wt[i__3].i) {
                result[10] = ulpinv;
            }
            i__2 = *n;
            for (j = 1; j <= i__2; ++j) {
                i__3 = i__ + j * h_dim1;
                i__4 = i__ + j * ht_dim1;
                if (h__[i__3].r != ht[i__4].r || h__[i__3].i != ht[i__4].i) {
                    result[11] = ulpinv;
                }
                i__3 = i__ + j * vs_dim1;
                i__4 = i__ + j * vs1_dim1;
                if (vs[i__3].r != vs1[i__4].r || vs[i__3].i != vs1[i__4].i) {
                    result[12] = ulpinv;
                }
/* L200: */
            }
/* L210: */
        }
        if (sdim != sdim1) {
            result[13] = ulpinv;
        }

    }

L220:

/*     If there are precomputed reciprocal condition numbers, compare */
/*     computed values with them. */

    if (*comp) {

/*        First set up SELOPT, SELDIM, SELVAL, SELWR and SELWI so that */
/*        the logical function ZSLECT selects the eigenvalues specified */
/*        by NSLCT, ISLCT and ISRT. */

        sslct_1.seldim = *n;
        sslct_1.selopt = 1;
        eps = max(ulp,5.9605e-8);
        i__1 = *n;
        for (i__ = 1; i__ <= i__1; ++i__) {
            ipnt[i__ - 1] = i__;
            sslct_1.selval[i__ - 1] = FALSE_;
            i__2 = i__;
            sslct_1.selwr[i__ - 1] = wtmp[i__2].r;
            sslct_1.selwi[i__ - 1] = d_imag(&wtmp[i__]);
/* L230: */
        }
        i__1 = *n - 1;
        for (i__ = 1; i__ <= i__1; ++i__) {
            kmin = i__;
            if (*isrt == 0) {
                i__2 = i__;
                vrimin = wtmp[i__2].r;
            } else {
                vrimin = d_imag(&wtmp[i__]);
            }
            i__2 = *n;
            for (j = i__ + 1; j <= i__2; ++j) {
                if (*isrt == 0) {
                    i__3 = j;
                    vricmp = wtmp[i__3].r;
                } else {
                    vricmp = d_imag(&wtmp[j]);
                }
                if (vricmp < vrimin) {
                    kmin = j;
                    vrimin = vricmp;
                }
/* L240: */
            }
            i__2 = kmin;
            ctmp.r = wtmp[i__2].r, ctmp.i = wtmp[i__2].i;
            i__2 = kmin;
            i__3 = i__;
            wtmp[i__2].r = wtmp[i__3].r, wtmp[i__2].i = wtmp[i__3].i;
            i__2 = i__;
            wtmp[i__2].r = ctmp.r, wtmp[i__2].i = ctmp.i;
            itmp = ipnt[i__ - 1];
            ipnt[i__ - 1] = ipnt[kmin - 1];
            ipnt[kmin - 1] = itmp;
/* L250: */
        }
        i__1 = *nslct;
        for (i__ = 1; i__ <= i__1; ++i__) {
            sslct_1.selval[ipnt[islct[i__] - 1] - 1] = TRUE_;
/* L260: */
        }

/*        Compute condition numbers */

        zlacpy_("F", n, n, &a[a_offset], lda, &ht[ht_offset], lda);
        zgeesx_("N", "S", (L_fp)zslect_, "B", n, &ht[ht_offset], lda, &sdim1, 
                &wt[1], &vs1[vs1_offset], ldvs, &rconde, &rcondv, &work[1], 
                lwork, &rwork[1], &bwork[1], &iinfo);
        if (iinfo != 0) {
            result[16] = ulpinv;
            result[17] = ulpinv;
            io___42.ciunit = *nounit;
            s_wsfe(&io___42);
            do_fio(&c__1, "ZGEESX9", (ftnlen)7);
            do_fio(&c__1, (char *)&iinfo, (ftnlen)sizeof(integer));
            do_fio(&c__1, (char *)&(*n), (ftnlen)sizeof(integer));
            do_fio(&c__1, (char *)&iseed[1], (ftnlen)sizeof(integer));
            e_wsfe();
            *info = abs(iinfo);
            goto L270;
        }

/*        Compare condition number for average of selected eigenvalues */
/*        taking its condition number into account */

        anorm = zlange_("1", n, n, &a[a_offset], lda, &rwork[1]);
/* Computing MAX */
        d__1 = (doublereal) (*n) * eps * anorm;
        v = max(d__1,smlnum);
        if (anorm == 0.) {
            v = 1.;
        }
        if (v > rcondv) {
            tol = 1.;
        } else {
            tol = v / rcondv;
        }
        if (v > *rcdvin) {
            tolin = 1.;
        } else {
            tolin = v / *rcdvin;
        }
/* Computing MAX */
        d__1 = tol, d__2 = smlnum / eps;
        tol = max(d__1,d__2);
/* Computing MAX */
        d__1 = tolin, d__2 = smlnum / eps;
        tolin = max(d__1,d__2);
        if (eps * (*rcdein - tolin) > rconde + tol) {
            result[16] = ulpinv;
        } else if (*rcdein - tolin > rconde + tol) {
            result[16] = (*rcdein - tolin) / (rconde + tol);
        } else if (*rcdein + tolin < eps * (rconde - tol)) {
            result[16] = ulpinv;
        } else if (*rcdein + tolin < rconde - tol) {
            result[16] = (rconde - tol) / (*rcdein + tolin);
        } else {
            result[16] = 1.;
        }

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

        if (v > rcondv * rconde) {
            tol = rcondv;
        } else {
            tol = v / rconde;
        }
        if (v > *rcdvin * *rcdein) {
            tolin = *rcdvin;
        } else {
            tolin = v / *rcdein;
        }
/* Computing MAX */
        d__1 = tol, d__2 = smlnum / eps;
        tol = max(d__1,d__2);
/* Computing MAX */
        d__1 = tolin, d__2 = smlnum / eps;
        tolin = max(d__1,d__2);
        if (eps * (*rcdvin - tolin) > rcondv + tol) {
            result[17] = ulpinv;
        } else if (*rcdvin - tolin > rcondv + tol) {
            result[17] = (*rcdvin - tolin) / (rcondv + tol);
        } else if (*rcdvin + tolin < eps * (rcondv - tol)) {
            result[17] = ulpinv;
        } else if (*rcdvin + tolin < rcondv - tol) {
            result[17] = (rcondv - tol) / (*rcdvin + tolin);
        } else {
            result[17] = 1.;
        }

L270:

        ;
    }


    return 0;

/*     End of ZGET24 */

} /* zget24_ */