[] add metering mode to CLI

1 files changed, 781 insertions, 0 deletions

diff --git a/contrib/libs/clapack/zgegv.c b/contrib/libs/clapack/zgegv.c
new file mode 100644
index 0000000000..a244aa15c9
--- /dev/null
+++ b/contrib/libs/clapack/zgegv.c
@@ -0,0 +1,781 @@
+/* zgegv.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"
+
+/* Table of constant values */
+
+static doublecomplex c_b1 = {0.,0.};
+static doublecomplex c_b2 = {1.,0.};
+static integer c__1 = 1;
+static integer c_n1 = -1;
+static doublereal c_b29 = 1.;
+
+/* Subroutine */ int zgegv_(char *jobvl, char *jobvr, integer *n, 
+	doublecomplex *a, integer *lda, doublecomplex *b, integer *ldb, 
+	doublecomplex *alpha, doublecomplex *beta, doublecomplex *vl, integer 
+	*ldvl, doublecomplex *vr, integer *ldvr, doublecomplex *work, integer 
+	*lwork, doublereal *rwork, integer *info)
+{
+    /* System generated locals */
+    integer a_dim1, a_offset, b_dim1, b_offset, vl_dim1, vl_offset, vr_dim1, 
+	    vr_offset, i__1, i__2, i__3, i__4;
+    doublereal d__1, d__2, d__3, d__4;
+    doublecomplex z__1, z__2;
+
+    /* Builtin functions */
+    double d_imag(doublecomplex *);
+
+    /* Local variables */
+    integer jc, nb, in, jr, nb1, nb2, nb3, ihi, ilo;
+    doublereal eps;
+    logical ilv;
+    doublereal absb, anrm, bnrm;
+    integer itau;
+    doublereal temp;
+    logical ilvl, ilvr;
+    integer lopt;
+    doublereal anrm1, anrm2, bnrm1, bnrm2, absai, scale, absar, sbeta;
+    extern logical lsame_(char *, char *);
+    integer ileft, iinfo, icols, iwork, irows;
+    extern doublereal dlamch_(char *);
+    doublereal salfai;
+    extern /* Subroutine */ int zggbak_(char *, char *, integer *, integer *, 
+	    integer *, doublereal *, doublereal *, integer *, doublecomplex *, 
+	     integer *, integer *), zggbal_(char *, integer *, 
+	     doublecomplex *, integer *, doublecomplex *, integer *, integer *
+, integer *, doublereal *, doublereal *, doublereal *, integer *);
+    doublereal salfar, safmin;
+    extern /* Subroutine */ int xerbla_(char *, integer *);
+    doublereal safmax;
+    char chtemp[1];
+    logical ldumma[1];
+    extern integer ilaenv_(integer *, char *, char *, integer *, integer *, 
+	    integer *, integer *);
+    extern doublereal zlange_(char *, integer *, integer *, doublecomplex *, 
+	    integer *, doublereal *);
+    integer ijobvl, iright;
+    logical ilimit;
+    extern /* Subroutine */ int zgghrd_(char *, char *, integer *, integer *, 
+	    integer *, doublecomplex *, integer *, doublecomplex *, integer *, 
+	     doublecomplex *, integer *, doublecomplex *, integer *, integer *
+), zlascl_(char *, integer *, integer *, 
+	    doublereal *, doublereal *, integer *, integer *, doublecomplex *, 
+	     integer *, integer *);
+    integer ijobvr;
+    extern /* Subroutine */ int zgeqrf_(integer *, integer *, doublecomplex *, 
+	     integer *, doublecomplex *, doublecomplex *, integer *, integer *
+);
+    integer lwkmin;
+    extern /* Subroutine */ int zlacpy_(char *, integer *, integer *, 
+	    doublecomplex *, integer *, doublecomplex *, integer *), 
+	    zlaset_(char *, integer *, integer *, doublecomplex *, 
+	    doublecomplex *, doublecomplex *, integer *), ztgevc_(
+	    char *, char *, logical *, integer *, doublecomplex *, integer *, 
+	    doublecomplex *, integer *, doublecomplex *, integer *, 
+	    doublecomplex *, integer *, integer *, integer *, doublecomplex *, 
+	     doublereal *, integer *), zhgeqz_(char *, char *, 
+	     char *, integer *, integer *, integer *, doublecomplex *, 
+	    integer *, doublecomplex *, integer *, doublecomplex *, 
+	    doublecomplex *, doublecomplex *, integer *, doublecomplex *, 
+	    integer *, doublecomplex *, integer *, doublereal *, integer *);
+    integer irwork, lwkopt;
+    logical lquery;
+    extern /* Subroutine */ int zungqr_(integer *, integer *, integer *, 
+	    doublecomplex *, integer *, doublecomplex *, doublecomplex *, 
+	    integer *, integer *), zunmqr_(char *, char *, integer *, integer 
+	    *, integer *, doublecomplex *, integer *, doublecomplex *, 
+	    doublecomplex *, integer *, doublecomplex *, integer *, integer *);
+
+
+/*  -- LAPACK driver routine (version 3.2) -- */
+/*     Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */
+/*     November 2006 */
+
+/*     .. Scalar Arguments .. */
+/*     .. */
+/*     .. Array Arguments .. */
+/*     .. */
+
+/*  Purpose */
+/*  ======= */
+
+/*  This routine is deprecated and has been replaced by routine ZGGEV. */
+
+/*  ZGEGV computes the eigenvalues and, optionally, the left and/or right */
+/*  eigenvectors of a complex matrix pair (A,B). */
+/*  Given two square matrices A and B, */
+/*  the generalized nonsymmetric eigenvalue problem (GNEP) is to find the */
+/*  eigenvalues lambda and corresponding (non-zero) eigenvectors x such */
+/*  that */
+/*     A*x = lambda*B*x. */
+
+/*  An alternate form is to find the eigenvalues mu and corresponding */
+/*  eigenvectors y such that */
+/*     mu*A*y = B*y. */
+
+/*  These two forms are equivalent with mu = 1/lambda and x = y if */
+/*  neither lambda nor mu is zero.  In order to deal with the case that */
+/*  lambda or mu is zero or small, two values alpha and beta are returned */
+/*  for each eigenvalue, such that lambda = alpha/beta and */
+/*  mu = beta/alpha. */
+
+/*  The vectors x and y in the above equations are right eigenvectors of */
+/*  the matrix pair (A,B).  Vectors u and v satisfying */
+/*     u**H*A = lambda*u**H*B  or  mu*v**H*A = v**H*B */
+/*  are left eigenvectors of (A,B). */
+
+/*  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 (returned */
+/*                  in VL). */
+
+/*  JOBVR   (input) CHARACTER*1 */
+/*          = 'N':  do not compute the right generalized eigenvectors; */
+/*          = 'V':  compute the right generalized eigenvectors (returned */
+/*                  in VR). */
+
+/*  N       (input) INTEGER */
+/*          The order of the matrices A, B, VL, and VR.  N >= 0. */
+
+/*  A       (input/output) COMPLEX*16 array, dimension (LDA, N) */
+/*          On entry, the matrix A. */
+/*          If JOBVL = 'V' or JOBVR = 'V', then on exit A */
+/*          contains the Schur form of A from the generalized Schur */
+/*          factorization of the pair (A,B) after balancing.  If no */
+/*          eigenvectors were computed, then only the diagonal elements */
+/*          of the Schur form will be correct.  See ZGGHRD and ZHGEQZ */
+/*          for details. */
+
+/*  LDA     (input) INTEGER */
+/*          The leading dimension of A.  LDA >= max(1,N). */
+
+/*  B       (input/output) COMPLEX*16 array, dimension (LDB, N) */
+/*          On entry, the matrix B. */
+/*          If JOBVL = 'V' or JOBVR = 'V', then on exit B contains the */
+/*          upper triangular matrix obtained from B in the generalized */
+/*          Schur factorization of the pair (A,B) after balancing. */
+/*          If no eigenvectors were computed, then only the diagonal */
+/*          elements of B will be correct.  See ZGGHRD and ZHGEQZ for */
+/*          details. */
+
+/*  LDB     (input) INTEGER */
+/*          The leading dimension of B.  LDB >= max(1,N). */
+
+/*  ALPHA   (output) COMPLEX*16 array, dimension (N) */
+/*          The complex scalars alpha that define the eigenvalues of */
+/*          GNEP. */
+
+/*  BETA    (output) COMPLEX*16 array, dimension (N) */
+/*          The complex scalars beta that define the eigenvalues of GNEP. */
+
+/*          Together, the quantities alpha = ALPHA(j) and beta = BETA(j) */
+/*          represent the j-th eigenvalue of the matrix pair (A,B), in */
+/*          one of the forms lambda = alpha/beta or mu = beta/alpha. */
+/*          Since either lambda or mu may overflow, they should not, */
+/*          in general, be computed. */
+
+/*  VL      (output) COMPLEX*16 array, dimension (LDVL,N) */
+/*          If JOBVL = 'V', the left eigenvectors u(j) are stored */
+/*          in the columns of VL, in the same order as their eigenvalues. */
+/*          Each eigenvector is scaled so that its largest component has */
+/*          abs(real part) + abs(imag. part) = 1, except for eigenvectors */
+/*          corresponding to an eigenvalue with alpha = beta = 0, which */
+/*          are set to zero. */
+/*          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) COMPLEX*16 array, dimension (LDVR,N) */
+/*          If JOBVR = 'V', the right eigenvectors x(j) are stored */
+/*          in the columns of VR, in the same order as their eigenvalues. */
+/*          Each eigenvector is scaled so that its largest component has */
+/*          abs(real part) + abs(imag. part) = 1, except for eigenvectors */
+/*          corresponding to an eigenvalue with alpha = beta = 0, which */
+/*          are set to zero. */
+/*          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) COMPLEX*16 array, dimension (MAX(1,LWORK)) */
+/*          On exit, if INFO = 0, WORK(1) returns the optimal LWORK. */
+
+/*  LWORK   (input) INTEGER */
+/*          The dimension of the array WORK.  LWORK >= max(1,2*N). */
+/*          For good performance, LWORK must generally be larger. */
+/*          To compute the optimal value of LWORK, call ILAENV to get */
+/*          blocksizes (for ZGEQRF, ZUNMQR, and ZUNGQR.)  Then compute: */
+/*          NB  -- MAX of the blocksizes for ZGEQRF, ZUNMQR, and ZUNGQR; */
+/*          The optimal LWORK is  MAX( 2*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. */
+
+/*  RWORK   (workspace/output) DOUBLE PRECISION array, dimension (8*N) */
+
+/*  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 ALPHA(j) and BETA(j) should be */
+/*                correct for j=INFO+1,...,N. */
+/*          > N:  errors that usually indicate LAPACK problems: */
+/*                =N+1: error return from ZGGBAL */
+/*                =N+2: error return from ZGEQRF */
+/*                =N+3: error return from ZUNMQR */
+/*                =N+4: error return from ZUNGQR */
+/*                =N+5: error return from ZGGHRD */
+/*                =N+6: error return from ZHGEQZ (other than failed */
+/*                                               iteration) */
+/*                =N+7: error return from ZTGEVC */
+/*                =N+8: error return from ZGGBAK (computing VL) */
+/*                =N+9: error return from ZGGBAK (computing VR) */
+/*                =N+10: error return from ZLASCL (various calls) */
+
+/*  Further Details */
+/*  =============== */
+
+/*  Balancing */
+/*  --------- */
+
+/*  This driver calls ZGGBAL 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, ZGGBAK 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 complex Schur */
+/*  form[*] of the "balanced" versions of A and B.  If no eigenvectors */
+/*  are computed, then only the diagonal blocks will be correct. */
+
+/*  [*] In other words, upper triangular form. */
+
+/*  ===================================================================== */
+
+/*     .. Parameters .. */
+/*     .. */
+/*     .. Local Scalars .. */
+/*     .. */
+/*     .. Local Arrays .. */
+/*     .. */
+/*     .. External Subroutines .. */
+/*     .. */
+/*     .. External Functions .. */
+/*     .. */
+/*     .. Intrinsic Functions .. */
+/*     .. */
+/*     .. Statement Functions .. */
+/*     .. */
+/*     .. Statement Function definitions .. */
+/*     .. */
+/*     .. 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;
+    --alpha;
+    --beta;
+    vl_dim1 = *ldvl;
+    vl_offset = 1 + vl_dim1;
+    vl -= vl_offset;
+    vr_dim1 = *ldvr;
+    vr_offset = 1 + vr_dim1;
+    vr -= vr_offset;
+    --work;
+    --rwork;
+
+    /* Function Body */
+    if (lsame_(jobvl, "N")) {
+	ijobvl = 1;
+	ilvl = FALSE_;
+    } else if (lsame_(jobvl, "V")) {
+	ijobvl = 2;
+	ilvl = TRUE_;
+    } else {
+	ijobvl = -1;
+	ilvl = FALSE_;
+    }
+
+    if (lsame_(jobvr, "N")) {
+	ijobvr = 1;
+	ilvr = FALSE_;
+    } else if (lsame_(jobvr, "V")) {
+	ijobvr = 2;
+	ilvr = TRUE_;
+    } else {
+	ijobvr = -1;
+	ilvr = FALSE_;
+    }
+    ilv = ilvl || ilvr;
+
+/*     Test the input arguments */
+
+/* Computing MAX */
+    i__1 = *n << 1;
+    lwkmin = max(i__1,1);
+    lwkopt = lwkmin;
+    work[1].r = (doublereal) lwkopt, work[1].i = 0.;
+    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 = -11;
+    } else if (*ldvr < 1 || ilvr && *ldvr < *n) {
+	*info = -13;
+    } else if (*lwork < lwkmin && ! lquery) {
+	*info = -15;
+    }
+
+    if (*info == 0) {
+	nb1 = ilaenv_(&c__1, "ZGEQRF", " ", n, n, &c_n1, &c_n1);
+	nb2 = ilaenv_(&c__1, "ZUNMQR", " ", n, n, n, &c_n1);
+	nb3 = ilaenv_(&c__1, "ZUNGQR", " ", n, n, n, &c_n1);
+/* Computing MAX */
+	i__1 = max(nb1,nb2);
+	nb = max(i__1,nb3);
+/* Computing MAX */
+	i__1 = *n << 1, i__2 = *n * (nb + 1);
+	lopt = max(i__1,i__2);
+	work[1].r = (doublereal) lopt, work[1].i = 0.;
+    }
+
+    if (*info != 0) {
+	i__1 = -(*info);
+	xerbla_("ZGEGV ", &i__1);
+	return 0;
+    } else if (lquery) {
+	return 0;
+    }
+
+/*     Quick return if possible */
+
+    if (*n == 0) {
+	return 0;
+    }
+
+/*     Get machine constants */
+
+    eps = dlamch_("E") * dlamch_("B");
+    safmin = dlamch_("S");
+    safmin += safmin;
+    safmax = 1. / safmin;
+
+/*     Scale A */
+
+    anrm = zlange_("M", n, n, &a[a_offset], lda, &rwork[1]);
+    anrm1 = anrm;
+    anrm2 = 1.;
+    if (anrm < 1.) {
+	if (safmax * anrm < 1.) {
+	    anrm1 = safmin;
+	    anrm2 = safmax * anrm;
+	}
+    }
+
+    if (anrm > 0.) {
+	zlascl_("G", &c_n1, &c_n1, &anrm, &c_b29, n, n, &a[a_offset], lda, &
+		iinfo);
+	if (iinfo != 0) {
+	    *info = *n + 10;
+	    return 0;
+	}
+    }
+
+/*     Scale B */
+
+    bnrm = zlange_("M", n, n, &b[b_offset], ldb, &rwork[1]);
+    bnrm1 = bnrm;
+    bnrm2 = 1.;
+    if (bnrm < 1.) {
+	if (safmax * bnrm < 1.) {
+	    bnrm1 = safmin;
+	    bnrm2 = safmax * bnrm;
+	}
+    }
+
+    if (bnrm > 0.) {
+	zlascl_("G", &c_n1, &c_n1, &bnrm, &c_b29, n, n, &b[b_offset], ldb, &
+		iinfo);
+	if (iinfo != 0) {
+	    *info = *n + 10;
+	    return 0;
+	}
+    }
+
+/*     Permute the matrix to make it more nearly triangular */
+/*     Also "balance" the matrix. */
+
+    ileft = 1;
+    iright = *n + 1;
+    irwork = iright + *n;
+    zggbal_("P", n, &a[a_offset], lda, &b[b_offset], ldb, &ilo, &ihi, &rwork[
+	    ileft], &rwork[iright], &rwork[irwork], &iinfo);
+    if (iinfo != 0) {
+	*info = *n + 1;
+	goto L80;
+    }
+
+/*     Reduce B to triangular form, and initialize VL and/or VR */
+
+    irows = ihi + 1 - ilo;
+    if (ilv) {
+	icols = *n + 1 - ilo;
+    } else {
+	icols = irows;
+    }
+    itau = 1;
+    iwork = itau + irows;
+    i__1 = *lwork + 1 - iwork;
+    zgeqrf_(&irows, &icols, &b[ilo + ilo * b_dim1], ldb, &work[itau], &work[
+	    iwork], &i__1, &iinfo);
+    if (iinfo >= 0) {
+/* Computing MAX */
+	i__3 = iwork;
+	i__1 = lwkopt, i__2 = (integer) work[i__3].r + iwork - 1;
+	lwkopt = max(i__1,i__2);
+    }
+    if (iinfo != 0) {
+	*info = *n + 2;
+	goto L80;
+    }
+
+    i__1 = *lwork + 1 - iwork;
+    zunmqr_("L", "C", &irows, &icols, &irows, &b[ilo + ilo * b_dim1], ldb, &
+	    work[itau], &a[ilo + ilo * a_dim1], lda, &work[iwork], &i__1, &
+	    iinfo);
+    if (iinfo >= 0) {
+/* Computing MAX */
+	i__3 = iwork;
+	i__1 = lwkopt, i__2 = (integer) work[i__3].r + iwork - 1;
+	lwkopt = max(i__1,i__2);
+    }
+    if (iinfo != 0) {
+	*info = *n + 3;
+	goto L80;
+    }
+
+    if (ilvl) {
+	zlaset_("Full", n, n, &c_b1, &c_b2, &vl[vl_offset], ldvl);
+	i__1 = irows - 1;
+	i__2 = irows - 1;
+	zlacpy_("L", &i__1, &i__2, &b[ilo + 1 + ilo * b_dim1], ldb, &vl[ilo + 
+		1 + ilo * vl_dim1], ldvl);
+	i__1 = *lwork + 1 - iwork;
+	zungqr_(&irows, &irows, &irows, &vl[ilo + ilo * vl_dim1], ldvl, &work[
+		itau], &work[iwork], &i__1, &iinfo);
+	if (iinfo >= 0) {
+/* Computing MAX */
+	    i__3 = iwork;
+	    i__1 = lwkopt, i__2 = (integer) work[i__3].r + iwork - 1;
+	    lwkopt = max(i__1,i__2);
+	}
+	if (iinfo != 0) {
+	    *info = *n + 4;
+	    goto L80;
+	}
+    }
+
+    if (ilvr) {
+	zlaset_("Full", n, n, &c_b1, &c_b2, &vr[vr_offset], ldvr);
+    }
+
+/*     Reduce to generalized Hessenberg form */
+
+    if (ilv) {
+
+/*        Eigenvectors requested -- work on whole matrix. */
+
+	zgghrd_(jobvl, jobvr, n, &ilo, &ihi, &a[a_offset], lda, &b[b_offset], 
+		ldb, &vl[vl_offset], ldvl, &vr[vr_offset], ldvr, &iinfo);
+    } else {
+	zgghrd_("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);
+    }
+    if (iinfo != 0) {
+	*info = *n + 5;
+	goto L80;
+    }
+
+/*     Perform QZ algorithm */
+
+    iwork = itau;
+    if (ilv) {
+	*(unsigned char *)chtemp = 'S';
+    } else {
+	*(unsigned char *)chtemp = 'E';
+    }
+    i__1 = *lwork + 1 - iwork;
+    zhgeqz_(chtemp, jobvl, jobvr, n, &ilo, &ihi, &a[a_offset], lda, &b[
+	    b_offset], ldb, &alpha[1], &beta[1], &vl[vl_offset], ldvl, &vr[
+	    vr_offset], ldvr, &work[iwork], &i__1, &rwork[irwork], &iinfo);
+    if (iinfo >= 0) {
+/* Computing MAX */
+	i__3 = iwork;
+	i__1 = lwkopt, i__2 = (integer) work[i__3].r + 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 L80;
+    }
+
+    if (ilv) {
+
+/*        Compute Eigenvectors */
+
+	if (ilvl) {
+	    if (ilvr) {
+		*(unsigned char *)chtemp = 'B';
+	    } else {
+		*(unsigned char *)chtemp = 'L';
+	    }
+	} else {
+	    *(unsigned char *)chtemp = 'R';
+	}
+
+	ztgevc_(chtemp, "B", ldumma, n, &a[a_offset], lda, &b[b_offset], ldb, 
+		&vl[vl_offset], ldvl, &vr[vr_offset], ldvr, n, &in, &work[
+		iwork], &rwork[irwork], &iinfo);
+	if (iinfo != 0) {
+	    *info = *n + 7;
+	    goto L80;
+	}
+
+/*        Undo balancing on VL and VR, rescale */
+
+	if (ilvl) {
+	    zggbak_("P", "L", n, &ilo, &ihi, &rwork[ileft], &rwork[iright], n, 
+		     &vl[vl_offset], ldvl, &iinfo);
+	    if (iinfo != 0) {
+		*info = *n + 8;
+		goto L80;
+	    }
+	    i__1 = *n;
+	    for (jc = 1; jc <= i__1; ++jc) {
+		temp = 0.;
+		i__2 = *n;
+		for (jr = 1; jr <= i__2; ++jr) {
+/* Computing MAX */
+		    i__3 = jr + jc * vl_dim1;
+		    d__3 = temp, d__4 = (d__1 = vl[i__3].r, abs(d__1)) + (
+			    d__2 = d_imag(&vl[jr + jc * vl_dim1]), abs(d__2));
+		    temp = max(d__3,d__4);
+/* L10: */
+		}
+		if (temp < safmin) {
+		    goto L30;
+		}
+		temp = 1. / temp;
+		i__2 = *n;
+		for (jr = 1; jr <= i__2; ++jr) {
+		    i__3 = jr + jc * vl_dim1;
+		    i__4 = jr + jc * vl_dim1;
+		    z__1.r = temp * vl[i__4].r, z__1.i = temp * vl[i__4].i;
+		    vl[i__3].r = z__1.r, vl[i__3].i = z__1.i;
+/* L20: */
+		}
+L30:
+		;
+	    }
+	}
+	if (ilvr) {
+	    zggbak_("P", "R", n, &ilo, &ihi, &rwork[ileft], &rwork[iright], n, 
+		     &vr[vr_offset], ldvr, &iinfo);
+	    if (iinfo != 0) {
+		*info = *n + 9;
+		goto L80;
+	    }
+	    i__1 = *n;
+	    for (jc = 1; jc <= i__1; ++jc) {
+		temp = 0.;
+		i__2 = *n;
+		for (jr = 1; jr <= i__2; ++jr) {
+/* Computing MAX */
+		    i__3 = jr + jc * vr_dim1;
+		    d__3 = temp, d__4 = (d__1 = vr[i__3].r, abs(d__1)) + (
+			    d__2 = d_imag(&vr[jr + jc * vr_dim1]), abs(d__2));
+		    temp = max(d__3,d__4);
+/* L40: */
+		}
+		if (temp < safmin) {
+		    goto L60;
+		}
+		temp = 1. / temp;
+		i__2 = *n;
+		for (jr = 1; jr <= i__2; ++jr) {
+		    i__3 = jr + jc * vr_dim1;
+		    i__4 = jr + jc * vr_dim1;
+		    z__1.r = temp * vr[i__4].r, z__1.i = temp * vr[i__4].i;
+		    vr[i__3].r = z__1.r, vr[i__3].i = z__1.i;
+/* L50: */
+		}
+L60:
+		;
+	    }
+	}
+
+/*        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) {
+	i__2 = jc;
+	absar = (d__1 = alpha[i__2].r, abs(d__1));
+	absai = (d__1 = d_imag(&alpha[jc]), abs(d__1));
+	i__2 = jc;
+	absb = (d__1 = beta[i__2].r, abs(d__1));
+	i__2 = jc;
+	salfar = anrm * alpha[i__2].r;
+	salfai = anrm * d_imag(&alpha[jc]);
+	i__2 = jc;
+	sbeta = bnrm * beta[i__2].r;
+	ilimit = FALSE_;
+	scale = 1.;
+
+/*        Check for significant underflow in imaginary part of ALPHA */
+
+/* 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 = safmin, d__2 = anrm2 * absai;
+	    scale = safmin / anrm1 / max(d__1,d__2);
+	}
+
+/*        Check for significant underflow in real part of ALPHA */
+
+/* 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 = safmin, d__4 = anrm2 * absar;
+	    d__1 = scale, d__2 = 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 = safmin, d__4 = bnrm2 * absb;
+	    d__1 = scale, d__2 = 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 ALPHA, BETA if necessary. */
+
+	if (ilimit) {
+	    i__2 = jc;
+	    salfar = scale * alpha[i__2].r * anrm;
+	    salfai = scale * d_imag(&alpha[jc]) * anrm;
+	    i__2 = jc;
+	    z__2.r = scale * beta[i__2].r, z__2.i = scale * beta[i__2].i;
+	    z__1.r = bnrm * z__2.r, z__1.i = bnrm * z__2.i;
+	    sbeta = z__1.r;
+	}
+	i__2 = jc;
+	z__1.r = salfar, z__1.i = salfai;
+	alpha[i__2].r = z__1.r, alpha[i__2].i = z__1.i;
+	i__2 = jc;
+	beta[i__2].r = sbeta, beta[i__2].i = 0.;
+/* L70: */
+    }
+
+L80:
+    work[1].r = (doublereal) lwkopt, work[1].i = 0.;
+
+    return 0;
+
+/*     End of ZGEGV */
+
+} /* zgegv_ */