/* ./src_f77/dgegv.f -- translated by f2c (version 20030320).
   You must link the resulting object file with the libraries:
	-lf2c -lm   (in that order)
*/

#include <punc/vf2c.h>

/* Table of constant values */

static integer c__1 = 1;
static integer c_n1 = -1;
static doublereal c_b27 = 1.;
static doublereal c_b38 = 0.;

/* Subroutine */ int dgegv_(char *jobvl, char *jobvr, integer *n, doublereal *
	a, integer *lda, doublereal *b, integer *ldb, doublereal *alphar, 
	doublereal *alphai, doublereal *beta, doublereal *vl, integer *ldvl, 
	doublereal *vr, integer *ldvr, doublereal *work, integer *lwork, 
	integer *info, ftnlen jobvl_len, ftnlen jobvr_len)
{
    /* System generated locals */
    integer a_dim1, a_offset, b_dim1, b_offset, vl_dim1, vl_offset, vr_dim1, 
	    vr_offset, i__1, i__2;
    doublereal d__1, d__2, d__3, d__4;

    /* Local variables */
    static integer jc, nb, in, jr, nb1, nb2, nb3, ihi, ilo;
    static doublereal eps;
    static logical ilv;
    static doublereal absb, anrm, bnrm;
    static integer itau;
    static doublereal temp;
    static logical ilvl, ilvr;
    static integer lopt;
    static doublereal anrm1, anrm2, bnrm1, bnrm2, absai, scale, absar, sbeta;
    extern logical lsame_(char *, char *, ftnlen, ftnlen);
    static integer ileft, iinfo, icols, iwork, irows;
    extern /* Subroutine */ int dggbak_(char *, char *, integer *, integer *, 
	    integer *, doublereal *, doublereal *, integer *, doublereal *, 
	    integer *, integer *, ftnlen, ftnlen), dggbal_(char *, integer *, 
	    doublereal *, integer *, doublereal *, integer *, integer *, 
	    integer *, doublereal *, doublereal *, doublereal *, integer *, 
	    ftnlen);
    extern doublereal dlamch_(char *, ftnlen), dlange_(char *, integer *, 
	    integer *, doublereal *, integer *, doublereal *, ftnlen);
    static doublereal salfai;
    extern /* Subroutine */ int dgghrd_(char *, char *, integer *, integer *, 
	    integer *, doublereal *, integer *, doublereal *, integer *, 
	    doublereal *, integer *, doublereal *, integer *, integer *, 
	    ftnlen, ftnlen), dlascl_(char *, integer *, integer *, doublereal 
	    *, doublereal *, integer *, integer *, doublereal *, integer *, 
	    integer *, ftnlen);
    static doublereal salfar;
    extern /* Subroutine */ int dgeqrf_(integer *, integer *, doublereal *, 
	    integer *, doublereal *, doublereal *, integer *, integer *), 
	    dlacpy_(char *, integer *, integer *, doublereal *, integer *, 
	    doublereal *, integer *, ftnlen);
    static doublereal safmin;
    extern /* Subroutine */ int dlaset_(char *, integer *, integer *, 
	    doublereal *, doublereal *, doublereal *, integer *, ftnlen);
    static doublereal safmax;
    static char chtemp[1];
    static logical ldumma[1];
    extern /* Subroutine */ int dhgeqz_(char *, char *, char *, integer *, 
	    integer *, integer *, doublereal *, integer *, doublereal *, 
	    integer *, doublereal *, doublereal *, doublereal *, doublereal *,
	     integer *, doublereal *, integer *, doublereal *, integer *, 
	    integer *, ftnlen, ftnlen, ftnlen), dtgevc_(char *, char *, 
	    logical *, integer *, doublereal *, integer *, doublereal *, 
	    integer *, doublereal *, integer *, doublereal *, integer *, 
	    integer *, integer *, doublereal *, integer *, ftnlen, ftnlen), 
	    xerbla_(char *, integer *, ftnlen);
    static integer ijobvl, iright;
    static logical ilimit;
    extern integer ilaenv_(integer *, char *, char *, integer *, integer *, 
	    integer *, integer *, ftnlen, ftnlen);
    static integer ijobvr;
    extern /* Subroutine */ int dorgqr_(integer *, integer *, integer *, 
	    doublereal *, integer *, doublereal *, doublereal *, integer *, 
	    integer *);
    static doublereal onepls;
    static integer lwkmin;
    extern /* Subroutine */ int dormqr_(char *, char *, integer *, integer *, 
	    integer *, doublereal *, integer *, doublereal *, doublereal *, 
	    integer *, doublereal *, integer *, integer *, ftnlen, ftnlen);
    static integer lwkopt;
    static logical lquery;


/*  -- LAPACK driver routine (version 3.0) -- */
/*     Univ. of Tennessee, Univ. of California Berkeley, NAG Ltd., */
/*     Courant Institute, Argonne National Lab, and Rice University */
/*     June 30, 1999 */

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

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

/*  This routine is deprecated and has been replaced by routine DGGEV. */

/*  DGEGV computes for a pair of n-by-n real nonsymmetric matrices A and */
/*  B, the generalized eigenvalues (alphar +/- alphai*i, beta), and */
/*  optionally, the left and/or right generalized eigenvectors (VL and */
/*  VR). */

/*  A generalized eigenvalue for a pair of matrices (A,B) is, roughly */
/*  speaking, a scalar w or a ratio  alpha/beta = w, such that  A - w*B */
/*  is singular.  It is usually represented as the pair (alpha,beta), */
/*  as there is a reasonable interpretation for beta=0, and even for */
/*  both being zero.  A good beginning reference is the book, "Matrix */
/*  Computations", by G. Golub & C. van Loan (Johns Hopkins U. Press) */

/*  A right generalized eigenvector corresponding to a generalized */
/*  eigenvalue  w  for a pair of matrices (A,B) is a vector  r  such */
/*  that  (A - w B) r = 0 .  A left generalized eigenvector is a vector */
/*  l such that l**H * (A - w B) = 0, where l**H is the */
/*  conjugate-transpose of l. */

/*  Note: this routine performs "full balancing" on A and B -- see */
/*  "Further Details", below. */

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

/*  JOBVL   (input) CHARACTER*1 */
/*          = 'N':  do not compute the left generalized eigenvectors; */
/*          = 'V':  compute the left generalized eigenvectors. */

/*  JOBVR   (input) CHARACTER*1 */
/*          = 'N':  do not compute the right generalized eigenvectors; */
/*          = 'V':  compute the right generalized eigenvectors. */

/*  N       (input) INTEGER */
/*          The order of the matrices A, B, VL, and VR.  N >= 0. */

/*  A       (input/output) DOUBLE PRECISION array, dimension (LDA, N) */
/*          On entry, the first of the pair of matrices whose */
/*          generalized eigenvalues and (optionally) generalized */
/*          eigenvectors are to be computed. */
/*          On exit, the contents will have been destroyed.  (For a */
/*          description of the contents of A on exit, see "Further */
/*          Details", below.) */

/*  LDA     (input) INTEGER */
/*          The leading dimension of A.  LDA >= max(1,N). */

/*  B       (input/output) DOUBLE PRECISION array, dimension (LDB, N) */
/*          On entry, the second of the pair of matrices whose */
/*          generalized eigenvalues and (optionally) generalized */
/*          eigenvectors are to be computed. */
/*          On exit, the contents will have been destroyed.  (For a */
/*          description of the contents of B on exit, see "Further */
/*          Details", below.) */

/*  LDB     (input) INTEGER */
/*          The leading dimension of B.  LDB >= max(1,N). */

/*  ALPHAR  (output) DOUBLE PRECISION array, dimension (N) */
/*  ALPHAI  (output) DOUBLE PRECISION array, dimension (N) */
/*  BETA    (output) DOUBLE PRECISION array, dimension (N) */
/*          On exit, (ALPHAR(j) + ALPHAI(j)*i)/BETA(j), j=1,...,N, will */
/*          be the generalized eigenvalues.  If ALPHAI(j) is zero, then */
/*          the j-th eigenvalue is real; if positive, then the j-th and */
/*          (j+1)-st eigenvalues are a complex conjugate pair, with */
/*          ALPHAI(j+1) negative. */

/*          Note: the quotients ALPHAR(j)/BETA(j) and ALPHAI(j)/BETA(j) */
/*          may easily over- or underflow, and BETA(j) may even be zero. */
/*          Thus, the user should avoid naively computing the ratio */
/*          alpha/beta.  However, ALPHAR and ALPHAI will be always less */
/*          than and usually comparable with norm(A) in magnitude, and */
/*          BETA always less than and usually comparable with norm(B). */

/*  VL      (output) DOUBLE PRECISION array, dimension (LDVL,N) */
/*          If JOBVL = 'V', the left generalized eigenvectors.  (See */
/*          "Purpose", above.)  Real eigenvectors take one column, */
/*          complex take two columns, the first for the real part and */
/*          the second for the imaginary part.  Complex eigenvectors */
/*          correspond to an eigenvalue with positive imaginary part. */
/*          Each eigenvector will be scaled so the largest component */
/*          will have abs(real part) + abs(imag. part) = 1, *except* */
/*          that for eigenvalues with alpha=beta=0, a zero vector will */
/*          be returned as the corresponding eigenvector. */
/*          Not referenced if JOBVL = 'N'. */

/*  LDVL    (input) INTEGER */
/*          The leading dimension of the matrix VL. LDVL >= 1, and */
/*          if JOBVL = 'V', LDVL >= N. */

/*  VR      (output) DOUBLE PRECISION array, dimension (LDVR,N) */
/*          If JOBVR = 'V', the right generalized eigenvectors.  (See */
/*          "Purpose", above.)  Real eigenvectors take one column, */
/*          complex take two columns, the first for the real part and */
/*          the second for the imaginary part.  Complex eigenvectors */
/*          correspond to an eigenvalue with positive imaginary part. */
/*          Each eigenvector will be scaled so the largest component */
/*          will have abs(real part) + abs(imag. part) = 1, *except* */
/*          that for eigenvalues with alpha=beta=0, a zero vector will */
/*          be returned as the corresponding eigenvector. */
/*          Not referenced if JOBVR = 'N'. */

/*  LDVR    (input) INTEGER */
/*          The leading dimension of the matrix VR. LDVR >= 1, and */
/*          if JOBVR = 'V', LDVR >= N. */

/*  WORK    (workspace/output) DOUBLE PRECISION array, dimension (LWORK) */
/*          On exit, if INFO = 0, WORK(1) returns the optimal LWORK. */

/*  LWORK   (input) INTEGER */
/*          The dimension of the array WORK.  LWORK >= max(1,8*N). */
/*          For good performance, LWORK must generally be larger. */
/*          To compute the optimal value of LWORK, call ILAENV to get */
/*          blocksizes (for DGEQRF, DORMQR, and DORGQR.)  Then compute: */
/*          NB  -- MAX of the blocksizes for DGEQRF, DORMQR, and DORGQR; */
/*          The optimal LWORK is: */
/*              2*N + MAX( 6*N, N*(NB+1) ). */

/*          If LWORK = -1, then a workspace query is assumed; the routine */
/*          only calculates the optimal size of the WORK array, returns */
/*          this value as the first entry of the WORK array, and no error */
/*          message related to LWORK is issued by XERBLA. */

/*  INFO    (output) INTEGER */
/*          = 0:  successful exit */
/*          < 0:  if INFO = -i, the i-th argument had an illegal value. */
/*          = 1,...,N: */
/*                The QZ iteration failed.  No eigenvectors have been */
/*                calculated, but ALPHAR(j), ALPHAI(j), and BETA(j) */
/*                should be correct for j=INFO+1,...,N. */
/*          > N:  errors that usually indicate LAPACK problems: */
/*                =N+1: error return from DGGBAL */
/*                =N+2: error return from DGEQRF */
/*                =N+3: error return from DORMQR */
/*                =N+4: error return from DORGQR */
/*                =N+5: error return from DGGHRD */
/*                =N+6: error return from DHGEQZ (other than failed */
/*                                                iteration) */
/*                =N+7: error return from DTGEVC */
/*                =N+8: error return from DGGBAK (computing VL) */
/*                =N+9: error return from DGGBAK (computing VR) */
/*                =N+10: error return from DLASCL (various calls) */

/*  Further Details */
/*  =============== */

/*  Balancing */
/*  --------- */

/*  This driver calls DGGBAL to both permute and scale rows and columns */
/*  of A and B.  The permutations PL and PR are chosen so that PL*A*PR */
/*  and PL*B*R will be upper triangular except for the diagonal blocks */
/*  A(i:j,i:j) and B(i:j,i:j), with i and j as close together as */
/*  possible.  The diagonal scaling matrices DL and DR are chosen so */
/*  that the pair  DL*PL*A*PR*DR, DL*PL*B*PR*DR have elements close to */
/*  one (except for the elements that start out zero.) */

/*  After the eigenvalues and eigenvectors of the balanced matrices */
/*  have been computed, DGGBAK transforms the eigenvectors back to what */
/*  they would have been (in perfect arithmetic) if they had not been */
/*  balanced. */

/*  Contents of A and B on Exit */
/*  -------- -- - --- - -- ---- */

/*  If any eigenvectors are computed (either JOBVL='V' or JOBVR='V' or */
/*  both), then on exit the arrays A and B will contain the real Schur */
/*  form[*] of the "balanced" versions of A and B.  If no eigenvectors */
/*  are computed, then only the diagonal blocks will be correct. */

/*  [*] See DHGEQZ, DGEGS, or read the book "Matrix Computations", */
/*      by Golub & van Loan, pub. by Johns Hopkins U. Press. */

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

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

/*     Decode the input arguments */

    /* Parameter adjustments */
    a_dim1 = *lda;
    a_offset = 1 + a_dim1;
    a -= a_offset;
    b_dim1 = *ldb;
    b_offset = 1 + b_dim1;
    b -= b_offset;
    --alphar;
    --alphai;
    --beta;
    vl_dim1 = *ldvl;
    vl_offset = 1 + vl_dim1;
    vl -= vl_offset;
    vr_dim1 = *ldvr;
    vr_offset = 1 + vr_dim1;
    vr -= vr_offset;
    --work;

    /* Function Body */
    if (lsame_(jobvl, "N", (ftnlen)1, (ftnlen)1)) {
	ijobvl = 1;
	ilvl = FALSE_;
    } else if (lsame_(jobvl, "V", (ftnlen)1, (ftnlen)1)) {
	ijobvl = 2;
	ilvl = TRUE_;
    } else {
	ijobvl = -1;
	ilvl = FALSE_;
    }

    if (lsame_(jobvr, "N", (ftnlen)1, (ftnlen)1)) {
	ijobvr = 1;
	ilvr = FALSE_;
    } else if (lsame_(jobvr, "V", (ftnlen)1, (ftnlen)1)) {
	ijobvr = 2;
	ilvr = TRUE_;
    } else {
	ijobvr = -1;
	ilvr = FALSE_;
    }
    ilv = ilvl || ilvr;

/*     Test the input arguments */

/* Computing MAX */
    i__1 = *n << 3;
    lwkmin = max(i__1,1);
    lwkopt = lwkmin;
    work[1] = (doublereal) lwkopt;
    lquery = *lwork == -1;
    *info = 0;
    if (ijobvl <= 0) {
	*info = -1;
    } else if (ijobvr <= 0) {
	*info = -2;
    } else if (*n < 0) {
	*info = -3;
    } else if (*lda < max(1,*n)) {
	*info = -5;
    } else if (*ldb < max(1,*n)) {
	*info = -7;
    } else if (*ldvl < 1 || ilvl && *ldvl < *n) {
	*info = -12;
    } else if (*ldvr < 1 || ilvr && *ldvr < *n) {
	*info = -14;
    } else if (*lwork < lwkmin && ! lquery) {
	*info = -16;
    }

    if (*info == 0) {
	nb1 = ilaenv_(&c__1, "DGEQRF", " ", n, n, &c_n1, &c_n1, (ftnlen)6, (
		ftnlen)1);
	nb2 = ilaenv_(&c__1, "DORMQR", " ", n, n, n, &c_n1, (ftnlen)6, (
		ftnlen)1);
	nb3 = ilaenv_(&c__1, "DORGQR", " ", n, n, n, &c_n1, (ftnlen)6, (
		ftnlen)1);
/* Computing MAX */
	i__1 = max(nb1,nb2);
	nb = max(i__1,nb3);
/* Computing MAX */
	i__1 = *n * 6, i__2 = *n * (nb + 1);
	lopt = (*n << 1) + max(i__1,i__2);
	work[1] = (doublereal) lopt;
    }

    if (*info != 0) {
	i__1 = -(*info);
	xerbla_("DGEGV ", &i__1, (ftnlen)6);
	return 0;
    } else if (lquery) {
	return 0;
    }

/*     Quick return if possible */

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

/*     Get machine constants */

    eps = dlamch_("E", (ftnlen)1) * dlamch_("B", (ftnlen)1);
    safmin = dlamch_("S", (ftnlen)1);
    safmin += safmin;
    safmax = 1. / safmin;
    onepls = eps * 4 + 1.;

/*     Scale A */

    anrm = dlange_("M", n, n, &a[a_offset], lda, &work[1], (ftnlen)1);
    anrm1 = anrm;
    anrm2 = 1.;
    if (anrm < 1.) {
	if (safmax * anrm < 1.) {
	    anrm1 = safmin;
	    anrm2 = safmax * anrm;
	}
    }

    if (anrm > 0.) {
	dlascl_("G", &c_n1, &c_n1, &anrm, &c_b27, n, n, &a[a_offset], lda, &
		iinfo, (ftnlen)1);
	if (iinfo != 0) {
	    *info = *n + 10;
	    return 0;
	}
    }

/*     Scale B */

    bnrm = dlange_("M", n, n, &b[b_offset], ldb, &work[1], (ftnlen)1);
    bnrm1 = bnrm;
    bnrm2 = 1.;
    if (bnrm < 1.) {
	if (safmax * bnrm < 1.) {
	    bnrm1 = safmin;
	    bnrm2 = safmax * bnrm;
	}
    }

    if (bnrm > 0.) {
	dlascl_("G", &c_n1, &c_n1, &bnrm, &c_b27, n, n, &b[b_offset], ldb, &
		iinfo, (ftnlen)1);
	if (iinfo != 0) {
	    *info = *n + 10;
	    return 0;
	}
    }

/*     Permute the matrix to make it more nearly triangular */
/*     Workspace layout:  (8*N words -- "work" requires 6*N words) */
/*        left_permutation, right_permutation, work... */

    ileft = 1;
    iright = *n + 1;
    iwork = iright + *n;
    dggbal_("P", n, &a[a_offset], lda, &b[b_offset], ldb, &ilo, &ihi, &work[
	    ileft], &work[iright], &work[iwork], &iinfo, (ftnlen)1);
    if (iinfo != 0) {
	*info = *n + 1;
	goto L120;
    }

/*     Reduce B to triangular form, and initialize VL and/or VR */
/*     Workspace layout:  ("work..." must have at least N words) */
/*        left_permutation, right_permutation, tau, work... */

    irows = ihi + 1 - ilo;
    if (ilv) {
	icols = *n + 1 - ilo;
    } else {
	icols = irows;
    }
    itau = iwork;
    iwork = itau + irows;
    i__1 = *lwork + 1 - iwork;
    dgeqrf_(&irows, &icols, &b[ilo + ilo * b_dim1], ldb, &work[itau], &work[
	    iwork], &i__1, &iinfo);
    if (iinfo >= 0) {
/* Computing MAX */
	i__1 = lwkopt, i__2 = (integer) work[iwork] + iwork - 1;
	lwkopt = max(i__1,i__2);
    }
    if (iinfo != 0) {
	*info = *n + 2;
	goto L120;
    }

    i__1 = *lwork + 1 - iwork;
    dormqr_("L", "T", &irows, &icols, &irows, &b[ilo + ilo * b_dim1], ldb, &
	    work[itau], &a[ilo + ilo * a_dim1], lda, &work[iwork], &i__1, &
	    iinfo, (ftnlen)1, (ftnlen)1);
    if (iinfo >= 0) {
/* Computing MAX */
	i__1 = lwkopt, i__2 = (integer) work[iwork] + iwork - 1;
	lwkopt = max(i__1,i__2);
    }
    if (iinfo != 0) {
	*info = *n + 3;
	goto L120;
    }

    if (ilvl) {
	dlaset_("Full", n, n, &c_b38, &c_b27, &vl[vl_offset], ldvl, (ftnlen)4)
		;
	i__1 = irows - 1;
	i__2 = irows - 1;
	dlacpy_("L", &i__1, &i__2, &b[ilo + 1 + ilo * b_dim1], ldb, &vl[ilo + 
		1 + ilo * vl_dim1], ldvl, (ftnlen)1);
	i__1 = *lwork + 1 - iwork;
	dorgqr_(&irows, &irows, &irows, &vl[ilo + ilo * vl_dim1], ldvl, &work[
		itau], &work[iwork], &i__1, &iinfo);
	if (iinfo >= 0) {
/* Computing MAX */
	    i__1 = lwkopt, i__2 = (integer) work[iwork] + iwork - 1;
	    lwkopt = max(i__1,i__2);
	}
	if (iinfo != 0) {
	    *info = *n + 4;
	    goto L120;
	}
    }

    if (ilvr) {
	dlaset_("Full", n, n, &c_b38, &c_b27, &vr[vr_offset], ldvr, (ftnlen)4)
		;
    }

/*     Reduce to generalized Hessenberg form */

    if (ilv) {

/*        Eigenvectors requested -- work on whole matrix. */

	dgghrd_(jobvl, jobvr, n, &ilo, &ihi, &a[a_offset], lda, &b[b_offset], 
		ldb, &vl[vl_offset], ldvl, &vr[vr_offset], ldvr, &iinfo, (
		ftnlen)1, (ftnlen)1);
    } else {
	dgghrd_("N", "N", &irows, &c__1, &irows, &a[ilo + ilo * a_dim1], lda, 
		&b[ilo + ilo * b_dim1], ldb, &vl[vl_offset], ldvl, &vr[
		vr_offset], ldvr, &iinfo, (ftnlen)1, (ftnlen)1);
    }
    if (iinfo != 0) {
	*info = *n + 5;
	goto L120;
    }

/*     Perform QZ algorithm */
/*     Workspace layout:  ("work..." must have at least 1 word) */
/*        left_permutation, right_permutation, work... */

    iwork = itau;
    if (ilv) {
	*(unsigned char *)chtemp = 'S';
    } else {
	*(unsigned char *)chtemp = 'E';
    }
    i__1 = *lwork + 1 - iwork;
    dhgeqz_(chtemp, jobvl, jobvr, n, &ilo, &ihi, &a[a_offset], lda, &b[
	    b_offset], ldb, &alphar[1], &alphai[1], &beta[1], &vl[vl_offset], 
	    ldvl, &vr[vr_offset], ldvr, &work[iwork], &i__1, &iinfo, (ftnlen)
	    1, (ftnlen)1, (ftnlen)1);
    if (iinfo >= 0) {
/* Computing MAX */
	i__1 = lwkopt, i__2 = (integer) work[iwork] + iwork - 1;
	lwkopt = max(i__1,i__2);
    }
    if (iinfo != 0) {
	if (iinfo > 0 && iinfo <= *n) {
	    *info = iinfo;
	} else if (iinfo > *n && iinfo <= *n << 1) {
	    *info = iinfo - *n;
	} else {
	    *info = *n + 6;
	}
	goto L120;
    }

    if (ilv) {

/*        Compute Eigenvectors  (DTGEVC requires 6*N words of workspace) */

	if (ilvl) {
	    if (ilvr) {
		*(unsigned char *)chtemp = 'B';
	    } else {
		*(unsigned char *)chtemp = 'L';
	    }
	} else {
	    *(unsigned char *)chtemp = 'R';
	}

	dtgevc_(chtemp, "B", ldumma, n, &a[a_offset], lda, &b[b_offset], ldb, 
		&vl[vl_offset], ldvl, &vr[vr_offset], ldvr, n, &in, &work[
		iwork], &iinfo, (ftnlen)1, (ftnlen)1);
	if (iinfo != 0) {
	    *info = *n + 7;
	    goto L120;
	}

/*        Undo balancing on VL and VR, rescale */

	if (ilvl) {
	    dggbak_("P", "L", n, &ilo, &ihi, &work[ileft], &work[iright], n, &
		    vl[vl_offset], ldvl, &iinfo, (ftnlen)1, (ftnlen)1);
	    if (iinfo != 0) {
		*info = *n + 8;
		goto L120;
	    }
	    i__1 = *n;
	    for (jc = 1; jc <= i__1; ++jc) {
		if (alphai[jc] < 0.) {
		    goto L50;
		}
		temp = 0.;
		if (alphai[jc] == 0.) {
		    i__2 = *n;
		    for (jr = 1; jr <= i__2; ++jr) {
/* Computing MAX */
			d__2 = temp, d__3 = (d__1 = vl[jr + jc * vl_dim1], 
				abs(d__1));
			temp = max(d__2,d__3);
/* L10: */
		    }
		} else {
		    i__2 = *n;
		    for (jr = 1; jr <= i__2; ++jr) {
/* Computing MAX */
			d__3 = temp, d__4 = (d__1 = vl[jr + jc * vl_dim1], 
				abs(d__1)) + (d__2 = vl[jr + (jc + 1) * 
				vl_dim1], abs(d__2));
			temp = max(d__3,d__4);
/* L20: */
		    }
		}
		if (temp < safmin) {
		    goto L50;
		}
		temp = 1. / temp;
		if (alphai[jc] == 0.) {
		    i__2 = *n;
		    for (jr = 1; jr <= i__2; ++jr) {
			vl[jr + jc * vl_dim1] *= temp;
/* L30: */
		    }
		} else {
		    i__2 = *n;
		    for (jr = 1; jr <= i__2; ++jr) {
			vl[jr + jc * vl_dim1] *= temp;
			vl[jr + (jc + 1) * vl_dim1] *= temp;
/* L40: */
		    }
		}
L50:
		;
	    }
	}
	if (ilvr) {
	    dggbak_("P", "R", n, &ilo, &ihi, &work[ileft], &work[iright], n, &
		    vr[vr_offset], ldvr, &iinfo, (ftnlen)1, (ftnlen)1);
	    if (iinfo != 0) {
		*info = *n + 9;
		goto L120;
	    }
	    i__1 = *n;
	    for (jc = 1; jc <= i__1; ++jc) {
		if (alphai[jc] < 0.) {
		    goto L100;
		}
		temp = 0.;
		if (alphai[jc] == 0.) {
		    i__2 = *n;
		    for (jr = 1; jr <= i__2; ++jr) {
/* Computing MAX */
			d__2 = temp, d__3 = (d__1 = vr[jr + jc * vr_dim1], 
				abs(d__1));
			temp = max(d__2,d__3);
/* L60: */
		    }
		} else {
		    i__2 = *n;
		    for (jr = 1; jr <= i__2; ++jr) {
/* Computing MAX */
			d__3 = temp, d__4 = (d__1 = vr[jr + jc * vr_dim1], 
				abs(d__1)) + (d__2 = vr[jr + (jc + 1) * 
				vr_dim1], abs(d__2));
			temp = max(d__3,d__4);
/* L70: */
		    }
		}
		if (temp < safmin) {
		    goto L100;
		}
		temp = 1. / temp;
		if (alphai[jc] == 0.) {
		    i__2 = *n;
		    for (jr = 1; jr <= i__2; ++jr) {
			vr[jr + jc * vr_dim1] *= temp;
/* L80: */
		    }
		} else {
		    i__2 = *n;
		    for (jr = 1; jr <= i__2; ++jr) {
			vr[jr + jc * vr_dim1] *= temp;
			vr[jr + (jc + 1) * vr_dim1] *= temp;
/* L90: */
		    }
		}
L100:
		;
	    }
	}

/*        End of eigenvector calculation */

    }

/*     Undo scaling in alpha, beta */

/*     Note: this does not give the alpha and beta for the unscaled */
/*     problem. */

/*     Un-scaling is limited to avoid underflow in alpha and beta */
/*     if they are significant. */

    i__1 = *n;
    for (jc = 1; jc <= i__1; ++jc) {
	absar = (d__1 = alphar[jc], abs(d__1));
	absai = (d__1 = alphai[jc], abs(d__1));
	absb = (d__1 = beta[jc], abs(d__1));
	salfar = anrm * alphar[jc];
	salfai = anrm * alphai[jc];
	sbeta = bnrm * beta[jc];
	ilimit = FALSE_;
	scale = 1.;

/*        Check for significant underflow in ALPHAI */

/* Computing MAX */
	d__1 = safmin, d__2 = eps * absar, d__1 = max(d__1,d__2), d__2 = eps *
		 absb;
	if (abs(salfai) < safmin && absai >= max(d__1,d__2)) {
	    ilimit = TRUE_;
/* Computing MAX */
	    d__1 = onepls * safmin, d__2 = anrm2 * absai;
	    scale = onepls * safmin / anrm1 / max(d__1,d__2);

	} else if (salfai == 0.) {

/*           If insignificant underflow in ALPHAI, then make the */
/*           conjugate eigenvalue real. */

	    if (alphai[jc] < 0. && jc > 1) {
		alphai[jc - 1] = 0.;
	    } else if (alphai[jc] > 0. && jc < *n) {
		alphai[jc + 1] = 0.;
	    }
	}

/*        Check for significant underflow in ALPHAR */

/* Computing MAX */
	d__1 = safmin, d__2 = eps * absai, d__1 = max(d__1,d__2), d__2 = eps *
		 absb;
	if (abs(salfar) < safmin && absar >= max(d__1,d__2)) {
	    ilimit = TRUE_;
/* Computing MAX */
/* Computing MAX */
	    d__3 = onepls * safmin, d__4 = anrm2 * absar;
	    d__1 = scale, d__2 = onepls * safmin / anrm1 / max(d__3,d__4);
	    scale = max(d__1,d__2);
	}

/*        Check for significant underflow in BETA */

/* Computing MAX */
	d__1 = safmin, d__2 = eps * absar, d__1 = max(d__1,d__2), d__2 = eps *
		 absai;
	if (abs(sbeta) < safmin && absb >= max(d__1,d__2)) {
	    ilimit = TRUE_;
/* Computing MAX */
/* Computing MAX */
	    d__3 = onepls * safmin, d__4 = bnrm2 * absb;
	    d__1 = scale, d__2 = onepls * safmin / bnrm1 / max(d__3,d__4);
	    scale = max(d__1,d__2);
	}

/*        Check for possible overflow when limiting scaling */

	if (ilimit) {
/* Computing MAX */
	    d__1 = abs(salfar), d__2 = abs(salfai), d__1 = max(d__1,d__2), 
		    d__2 = abs(sbeta);
	    temp = scale * safmin * max(d__1,d__2);
	    if (temp > 1.) {
		scale /= temp;
	    }
	    if (scale < 1.) {
		ilimit = FALSE_;
	    }
	}

/*        Recompute un-scaled ALPHAR, ALPHAI, BETA if necessary. */

	if (ilimit) {
	    salfar = scale * alphar[jc] * anrm;
	    salfai = scale * alphai[jc] * anrm;
	    sbeta = scale * beta[jc] * bnrm;
	}
	alphar[jc] = salfar;
	alphai[jc] = salfai;
	beta[jc] = sbeta;
/* L110: */
    }

L120:
    work[1] = (doublereal) lwkopt;

    return 0;

/*     End of DGEGV */

} /* dgegv_ */

