[] add metering mode to CLI

1 files changed, 971 insertions, 0 deletions

diff --git a/contrib/libs/clapack/ctgevc.c b/contrib/libs/clapack/ctgevc.c
new file mode 100644
index 0000000000..7aeae85ab8
--- /dev/null
+++ b/contrib/libs/clapack/ctgevc.c
@@ -0,0 +1,971 @@
+/* ctgevc.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 complex c_b1 = {0.f,0.f};
+static complex c_b2 = {1.f,0.f};
+static integer c__1 = 1;
+
+/* Subroutine */ int ctgevc_(char *side, char *howmny, logical *select, 
+	integer *n, complex *s, integer *lds, complex *p, integer *ldp, 
+	complex *vl, integer *ldvl, complex *vr, integer *ldvr, integer *mm, 
+	integer *m, complex *work, real *rwork, integer *info)
+{
+    /* System generated locals */
+    integer p_dim1, p_offset, s_dim1, s_offset, vl_dim1, vl_offset, vr_dim1, 
+	    vr_offset, i__1, i__2, i__3, i__4, i__5;
+    real r__1, r__2, r__3, r__4, r__5, r__6;
+    complex q__1, q__2, q__3, q__4;
+
+    /* Builtin functions */
+    double r_imag(complex *);
+    void r_cnjg(complex *, complex *);
+
+    /* Local variables */
+    complex d__;
+    integer i__, j;
+    complex ca, cb;
+    integer je, im, jr;
+    real big;
+    logical lsa, lsb;
+    real ulp;
+    complex sum;
+    integer ibeg, ieig, iend;
+    real dmin__;
+    integer isrc;
+    real temp;
+    complex suma, sumb;
+    real xmax, scale;
+    logical ilall;
+    integer iside;
+    real sbeta;
+    extern logical lsame_(char *, char *);
+    extern /* Subroutine */ int cgemv_(char *, integer *, integer *, complex *
+, complex *, integer *, complex *, integer *, complex *, complex *
+, integer *);
+    real small;
+    logical compl;
+    real anorm, bnorm;
+    logical compr, ilbbad;
+    real acoefa, bcoefa, acoeff;
+    complex bcoeff;
+    logical ilback;
+    extern /* Subroutine */ int slabad_(real *, real *);
+    real ascale, bscale;
+    extern /* Complex */ VOID cladiv_(complex *, complex *, complex *);
+    extern doublereal slamch_(char *);
+    complex salpha;
+    real safmin;
+    extern /* Subroutine */ int xerbla_(char *, integer *);
+    real bignum;
+    logical ilcomp;
+    integer ihwmny;
+
+
+/*  -- LAPACK routine (version 3.2) -- */
+/*     Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */
+/*     November 2006 */
+
+/*     .. Scalar Arguments .. */
+/*     .. */
+/*     .. Array Arguments .. */
+/*     .. */
+
+
+/*  Purpose */
+/*  ======= */
+
+/*  CTGEVC computes some or all of the right and/or left eigenvectors of */
+/*  a pair of complex matrices (S,P), where S and P are upper triangular. */
+/*  Matrix pairs of this type are produced by the generalized Schur */
+/*  factorization of a complex matrix pair (A,B): */
+
+/*     A = Q*S*Z**H,  B = Q*P*Z**H */
+
+/*  as computed by CGGHRD + CHGEQZ. */
+
+/*  The right eigenvector x and the left eigenvector y of (S,P) */
+/*  corresponding to an eigenvalue w are defined by: */
+
+/*     S*x = w*P*x,  (y**H)*S = w*(y**H)*P, */
+
+/*  where y**H denotes the conjugate tranpose of y. */
+/*  The eigenvalues are not input to this routine, but are computed */
+/*  directly from the diagonal elements of S and P. */
+
+/*  This routine returns the matrices X and/or Y of right and left */
+/*  eigenvectors of (S,P), or the products Z*X and/or Q*Y, */
+/*  where Z and Q are input matrices. */
+/*  If Q and Z are the unitary factors from the generalized Schur */
+/*  factorization of a matrix pair (A,B), then Z*X and Q*Y */
+/*  are the matrices of right and left eigenvectors of (A,B). */
+
+/*  Arguments */
+/*  ========= */
+
+/*  SIDE    (input) CHARACTER*1 */
+/*          = 'R': compute right eigenvectors only; */
+/*          = 'L': compute left eigenvectors only; */
+/*          = 'B': compute both right and left eigenvectors. */
+
+/*  HOWMNY  (input) CHARACTER*1 */
+/*          = 'A': compute all right and/or left eigenvectors; */
+/*          = 'B': compute all right and/or left eigenvectors, */
+/*                 backtransformed by the matrices in VR and/or VL; */
+/*          = 'S': compute selected right and/or left eigenvectors, */
+/*                 specified by the logical array SELECT. */
+
+/*  SELECT  (input) LOGICAL array, dimension (N) */
+/*          If HOWMNY='S', SELECT specifies the eigenvectors to be */
+/*          computed.  The eigenvector corresponding to the j-th */
+/*          eigenvalue is computed if SELECT(j) = .TRUE.. */
+/*          Not referenced if HOWMNY = 'A' or 'B'. */
+
+/*  N       (input) INTEGER */
+/*          The order of the matrices S and P.  N >= 0. */
+
+/*  S       (input) COMPLEX array, dimension (LDS,N) */
+/*          The upper triangular matrix S from a generalized Schur */
+/*          factorization, as computed by CHGEQZ. */
+
+/*  LDS     (input) INTEGER */
+/*          The leading dimension of array S.  LDS >= max(1,N). */
+
+/*  P       (input) COMPLEX array, dimension (LDP,N) */
+/*          The upper triangular matrix P from a generalized Schur */
+/*          factorization, as computed by CHGEQZ.  P must have real */
+/*          diagonal elements. */
+
+/*  LDP     (input) INTEGER */
+/*          The leading dimension of array P.  LDP >= max(1,N). */
+
+/*  VL      (input/output) COMPLEX array, dimension (LDVL,MM) */
+/*          On entry, if SIDE = 'L' or 'B' and HOWMNY = 'B', VL must */
+/*          contain an N-by-N matrix Q (usually the unitary matrix Q */
+/*          of left Schur vectors returned by CHGEQZ). */
+/*          On exit, if SIDE = 'L' or 'B', VL contains: */
+/*          if HOWMNY = 'A', the matrix Y of left eigenvectors of (S,P); */
+/*          if HOWMNY = 'B', the matrix Q*Y; */
+/*          if HOWMNY = 'S', the left eigenvectors of (S,P) specified by */
+/*                      SELECT, stored consecutively in the columns of */
+/*                      VL, in the same order as their eigenvalues. */
+/*          Not referenced if SIDE = 'R'. */
+
+/*  LDVL    (input) INTEGER */
+/*          The leading dimension of array VL.  LDVL >= 1, and if */
+/*          SIDE = 'L' or 'l' or 'B' or 'b', LDVL >= N. */
+
+/*  VR      (input/output) COMPLEX array, dimension (LDVR,MM) */
+/*          On entry, if SIDE = 'R' or 'B' and HOWMNY = 'B', VR must */
+/*          contain an N-by-N matrix Q (usually the unitary matrix Z */
+/*          of right Schur vectors returned by CHGEQZ). */
+/*          On exit, if SIDE = 'R' or 'B', VR contains: */
+/*          if HOWMNY = 'A', the matrix X of right eigenvectors of (S,P); */
+/*          if HOWMNY = 'B', the matrix Z*X; */
+/*          if HOWMNY = 'S', the right eigenvectors of (S,P) specified by */
+/*                      SELECT, stored consecutively in the columns of */
+/*                      VR, in the same order as their eigenvalues. */
+/*          Not referenced if SIDE = 'L'. */
+
+/*  LDVR    (input) INTEGER */
+/*          The leading dimension of the array VR.  LDVR >= 1, and if */
+/*          SIDE = 'R' or 'B', LDVR >= N. */
+
+/*  MM      (input) INTEGER */
+/*          The number of columns in the arrays VL and/or VR. MM >= M. */
+
+/*  M       (output) INTEGER */
+/*          The number of columns in the arrays VL and/or VR actually */
+/*          used to store the eigenvectors.  If HOWMNY = 'A' or 'B', M */
+/*          is set to N.  Each selected eigenvector occupies one column. */
+
+/*  WORK    (workspace) COMPLEX array, dimension (2*N) */
+
+/*  RWORK   (workspace) REAL array, dimension (2*N) */
+
+/*  INFO    (output) INTEGER */
+/*          = 0:  successful exit. */
+/*          < 0:  if INFO = -i, the i-th argument had an illegal value. */
+
+/*  ===================================================================== */
+
+/*     .. Parameters .. */
+/*     .. */
+/*     .. Local Scalars .. */
+/*     .. */
+/*     .. External Functions .. */
+/*     .. */
+/*     .. External Subroutines .. */
+/*     .. */
+/*     .. Intrinsic Functions .. */
+/*     .. */
+/*     .. Statement Functions .. */
+/*     .. */
+/*     .. Statement Function definitions .. */
+/*     .. */
+/*     .. Executable Statements .. */
+
+/*     Decode and Test the input parameters */
+
+    /* Parameter adjustments */
+    --select;
+    s_dim1 = *lds;
+    s_offset = 1 + s_dim1;
+    s -= s_offset;
+    p_dim1 = *ldp;
+    p_offset = 1 + p_dim1;
+    p -= p_offset;
+    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_(howmny, "A")) {
+	ihwmny = 1;
+	ilall = TRUE_;
+	ilback = FALSE_;
+    } else if (lsame_(howmny, "S")) {
+	ihwmny = 2;
+	ilall = FALSE_;
+	ilback = FALSE_;
+    } else if (lsame_(howmny, "B")) {
+	ihwmny = 3;
+	ilall = TRUE_;
+	ilback = TRUE_;
+    } else {
+	ihwmny = -1;
+    }
+
+    if (lsame_(side, "R")) {
+	iside = 1;
+	compl = FALSE_;
+	compr = TRUE_;
+    } else if (lsame_(side, "L")) {
+	iside = 2;
+	compl = TRUE_;
+	compr = FALSE_;
+    } else if (lsame_(side, "B")) {
+	iside = 3;
+	compl = TRUE_;
+	compr = TRUE_;
+    } else {
+	iside = -1;
+    }
+
+    *info = 0;
+    if (iside < 0) {
+	*info = -1;
+    } else if (ihwmny < 0) {
+	*info = -2;
+    } else if (*n < 0) {
+	*info = -4;
+    } else if (*lds < max(1,*n)) {
+	*info = -6;
+    } else if (*ldp < max(1,*n)) {
+	*info = -8;
+    }
+    if (*info != 0) {
+	i__1 = -(*info);
+	xerbla_("CTGEVC", &i__1);
+	return 0;
+    }
+
+/*     Count the number of eigenvectors */
+
+    if (! ilall) {
+	im = 0;
+	i__1 = *n;
+	for (j = 1; j <= i__1; ++j) {
+	    if (select[j]) {
+		++im;
+	    }
+/* L10: */
+	}
+    } else {
+	im = *n;
+    }
+
+/*     Check diagonal of B */
+
+    ilbbad = FALSE_;
+    i__1 = *n;
+    for (j = 1; j <= i__1; ++j) {
+	if (r_imag(&p[j + j * p_dim1]) != 0.f) {
+	    ilbbad = TRUE_;
+	}
+/* L20: */
+    }
+
+    if (ilbbad) {
+	*info = -7;
+    } else if (compl && *ldvl < *n || *ldvl < 1) {
+	*info = -10;
+    } else if (compr && *ldvr < *n || *ldvr < 1) {
+	*info = -12;
+    } else if (*mm < im) {
+	*info = -13;
+    }
+    if (*info != 0) {
+	i__1 = -(*info);
+	xerbla_("CTGEVC", &i__1);
+	return 0;
+    }
+
+/*     Quick return if possible */
+
+    *m = im;
+    if (*n == 0) {
+	return 0;
+    }
+
+/*     Machine Constants */
+
+    safmin = slamch_("Safe minimum");
+    big = 1.f / safmin;
+    slabad_(&safmin, &big);
+    ulp = slamch_("Epsilon") * slamch_("Base");
+    small = safmin * *n / ulp;
+    big = 1.f / small;
+    bignum = 1.f / (safmin * *n);
+
+/*     Compute the 1-norm of each column of the strictly upper triangular */
+/*     part of A and B to check for possible overflow in the triangular */
+/*     solver. */
+
+    i__1 = s_dim1 + 1;
+    anorm = (r__1 = s[i__1].r, dabs(r__1)) + (r__2 = r_imag(&s[s_dim1 + 1]), 
+	    dabs(r__2));
+    i__1 = p_dim1 + 1;
+    bnorm = (r__1 = p[i__1].r, dabs(r__1)) + (r__2 = r_imag(&p[p_dim1 + 1]), 
+	    dabs(r__2));
+    rwork[1] = 0.f;
+    rwork[*n + 1] = 0.f;
+    i__1 = *n;
+    for (j = 2; j <= i__1; ++j) {
+	rwork[j] = 0.f;
+	rwork[*n + j] = 0.f;
+	i__2 = j - 1;
+	for (i__ = 1; i__ <= i__2; ++i__) {
+	    i__3 = i__ + j * s_dim1;
+	    rwork[j] += (r__1 = s[i__3].r, dabs(r__1)) + (r__2 = r_imag(&s[
+		    i__ + j * s_dim1]), dabs(r__2));
+	    i__3 = i__ + j * p_dim1;
+	    rwork[*n + j] += (r__1 = p[i__3].r, dabs(r__1)) + (r__2 = r_imag(&
+		    p[i__ + j * p_dim1]), dabs(r__2));
+/* L30: */
+	}
+/* Computing MAX */
+	i__2 = j + j * s_dim1;
+	r__3 = anorm, r__4 = rwork[j] + ((r__1 = s[i__2].r, dabs(r__1)) + (
+		r__2 = r_imag(&s[j + j * s_dim1]), dabs(r__2)));
+	anorm = dmax(r__3,r__4);
+/* Computing MAX */
+	i__2 = j + j * p_dim1;
+	r__3 = bnorm, r__4 = rwork[*n + j] + ((r__1 = p[i__2].r, dabs(r__1)) 
+		+ (r__2 = r_imag(&p[j + j * p_dim1]), dabs(r__2)));
+	bnorm = dmax(r__3,r__4);
+/* L40: */
+    }
+
+    ascale = 1.f / dmax(anorm,safmin);
+    bscale = 1.f / dmax(bnorm,safmin);
+
+/*     Left eigenvectors */
+
+    if (compl) {
+	ieig = 0;
+
+/*        Main loop over eigenvalues */
+
+	i__1 = *n;
+	for (je = 1; je <= i__1; ++je) {
+	    if (ilall) {
+		ilcomp = TRUE_;
+	    } else {
+		ilcomp = select[je];
+	    }
+	    if (ilcomp) {
+		++ieig;
+
+		i__2 = je + je * s_dim1;
+		i__3 = je + je * p_dim1;
+		if ((r__2 = s[i__2].r, dabs(r__2)) + (r__3 = r_imag(&s[je + 
+			je * s_dim1]), dabs(r__3)) <= safmin && (r__1 = p[
+			i__3].r, dabs(r__1)) <= safmin) {
+
+/*                 Singular matrix pencil -- return unit eigenvector */
+
+		    i__2 = *n;
+		    for (jr = 1; jr <= i__2; ++jr) {
+			i__3 = jr + ieig * vl_dim1;
+			vl[i__3].r = 0.f, vl[i__3].i = 0.f;
+/* L50: */
+		    }
+		    i__2 = ieig + ieig * vl_dim1;
+		    vl[i__2].r = 1.f, vl[i__2].i = 0.f;
+		    goto L140;
+		}
+
+/*              Non-singular eigenvalue: */
+/*              Compute coefficients  a  and  b  in */
+/*                   H */
+/*                 y  ( a A - b B ) = 0 */
+
+/* Computing MAX */
+		i__2 = je + je * s_dim1;
+		i__3 = je + je * p_dim1;
+		r__4 = ((r__2 = s[i__2].r, dabs(r__2)) + (r__3 = r_imag(&s[je 
+			+ je * s_dim1]), dabs(r__3))) * ascale, r__5 = (r__1 =
+			 p[i__3].r, dabs(r__1)) * bscale, r__4 = max(r__4,
+			r__5);
+		temp = 1.f / dmax(r__4,safmin);
+		i__2 = je + je * s_dim1;
+		q__2.r = temp * s[i__2].r, q__2.i = temp * s[i__2].i;
+		q__1.r = ascale * q__2.r, q__1.i = ascale * q__2.i;
+		salpha.r = q__1.r, salpha.i = q__1.i;
+		i__2 = je + je * p_dim1;
+		sbeta = temp * p[i__2].r * bscale;
+		acoeff = sbeta * ascale;
+		q__1.r = bscale * salpha.r, q__1.i = bscale * salpha.i;
+		bcoeff.r = q__1.r, bcoeff.i = q__1.i;
+
+/*              Scale to avoid underflow */
+
+		lsa = dabs(sbeta) >= safmin && dabs(acoeff) < small;
+		lsb = (r__1 = salpha.r, dabs(r__1)) + (r__2 = r_imag(&salpha),
+			 dabs(r__2)) >= safmin && (r__3 = bcoeff.r, dabs(r__3)
+			) + (r__4 = r_imag(&bcoeff), dabs(r__4)) < small;
+
+		scale = 1.f;
+		if (lsa) {
+		    scale = small / dabs(sbeta) * dmin(anorm,big);
+		}
+		if (lsb) {
+/* Computing MAX */
+		    r__3 = scale, r__4 = small / ((r__1 = salpha.r, dabs(r__1)
+			    ) + (r__2 = r_imag(&salpha), dabs(r__2))) * dmin(
+			    bnorm,big);
+		    scale = dmax(r__3,r__4);
+		}
+		if (lsa || lsb) {
+/* Computing MIN */
+/* Computing MAX */
+		    r__5 = 1.f, r__6 = dabs(acoeff), r__5 = max(r__5,r__6), 
+			    r__6 = (r__1 = bcoeff.r, dabs(r__1)) + (r__2 = 
+			    r_imag(&bcoeff), dabs(r__2));
+		    r__3 = scale, r__4 = 1.f / (safmin * dmax(r__5,r__6));
+		    scale = dmin(r__3,r__4);
+		    if (lsa) {
+			acoeff = ascale * (scale * sbeta);
+		    } else {
+			acoeff = scale * acoeff;
+		    }
+		    if (lsb) {
+			q__2.r = scale * salpha.r, q__2.i = scale * salpha.i;
+			q__1.r = bscale * q__2.r, q__1.i = bscale * q__2.i;
+			bcoeff.r = q__1.r, bcoeff.i = q__1.i;
+		    } else {
+			q__1.r = scale * bcoeff.r, q__1.i = scale * bcoeff.i;
+			bcoeff.r = q__1.r, bcoeff.i = q__1.i;
+		    }
+		}
+
+		acoefa = dabs(acoeff);
+		bcoefa = (r__1 = bcoeff.r, dabs(r__1)) + (r__2 = r_imag(&
+			bcoeff), dabs(r__2));
+		xmax = 1.f;
+		i__2 = *n;
+		for (jr = 1; jr <= i__2; ++jr) {
+		    i__3 = jr;
+		    work[i__3].r = 0.f, work[i__3].i = 0.f;
+/* L60: */
+		}
+		i__2 = je;
+		work[i__2].r = 1.f, work[i__2].i = 0.f;
+/* Computing MAX */
+		r__1 = ulp * acoefa * anorm, r__2 = ulp * bcoefa * bnorm, 
+			r__1 = max(r__1,r__2);
+		dmin__ = dmax(r__1,safmin);
+
+/*                                              H */
+/*              Triangular solve of  (a A - b B)  y = 0 */
+
+/*                                      H */
+/*              (rowwise in  (a A - b B) , or columnwise in a A - b B) */
+
+		i__2 = *n;
+		for (j = je + 1; j <= i__2; ++j) {
+
+/*                 Compute */
+/*                       j-1 */
+/*                 SUM = sum  conjg( a*S(k,j) - b*P(k,j) )*x(k) */
+/*                       k=je */
+/*                 (Scale if necessary) */
+
+		    temp = 1.f / xmax;
+		    if (acoefa * rwork[j] + bcoefa * rwork[*n + j] > bignum * 
+			    temp) {
+			i__3 = j - 1;
+			for (jr = je; jr <= i__3; ++jr) {
+			    i__4 = jr;
+			    i__5 = jr;
+			    q__1.r = temp * work[i__5].r, q__1.i = temp * 
+				    work[i__5].i;
+			    work[i__4].r = q__1.r, work[i__4].i = q__1.i;
+/* L70: */
+			}
+			xmax = 1.f;
+		    }
+		    suma.r = 0.f, suma.i = 0.f;
+		    sumb.r = 0.f, sumb.i = 0.f;
+
+		    i__3 = j - 1;
+		    for (jr = je; jr <= i__3; ++jr) {
+			r_cnjg(&q__3, &s[jr + j * s_dim1]);
+			i__4 = jr;
+			q__2.r = q__3.r * work[i__4].r - q__3.i * work[i__4]
+				.i, q__2.i = q__3.r * work[i__4].i + q__3.i * 
+				work[i__4].r;
+			q__1.r = suma.r + q__2.r, q__1.i = suma.i + q__2.i;
+			suma.r = q__1.r, suma.i = q__1.i;
+			r_cnjg(&q__3, &p[jr + j * p_dim1]);
+			i__4 = jr;
+			q__2.r = q__3.r * work[i__4].r - q__3.i * work[i__4]
+				.i, q__2.i = q__3.r * work[i__4].i + q__3.i * 
+				work[i__4].r;
+			q__1.r = sumb.r + q__2.r, q__1.i = sumb.i + q__2.i;
+			sumb.r = q__1.r, sumb.i = q__1.i;
+/* L80: */
+		    }
+		    q__2.r = acoeff * suma.r, q__2.i = acoeff * suma.i;
+		    r_cnjg(&q__4, &bcoeff);
+		    q__3.r = q__4.r * sumb.r - q__4.i * sumb.i, q__3.i = 
+			    q__4.r * sumb.i + q__4.i * sumb.r;
+		    q__1.r = q__2.r - q__3.r, q__1.i = q__2.i - q__3.i;
+		    sum.r = q__1.r, sum.i = q__1.i;
+
+/*                 Form x(j) = - SUM / conjg( a*S(j,j) - b*P(j,j) ) */
+
+/*                 with scaling and perturbation of the denominator */
+
+		    i__3 = j + j * s_dim1;
+		    q__3.r = acoeff * s[i__3].r, q__3.i = acoeff * s[i__3].i;
+		    i__4 = j + j * p_dim1;
+		    q__4.r = bcoeff.r * p[i__4].r - bcoeff.i * p[i__4].i, 
+			    q__4.i = bcoeff.r * p[i__4].i + bcoeff.i * p[i__4]
+			    .r;
+		    q__2.r = q__3.r - q__4.r, q__2.i = q__3.i - q__4.i;
+		    r_cnjg(&q__1, &q__2);
+		    d__.r = q__1.r, d__.i = q__1.i;
+		    if ((r__1 = d__.r, dabs(r__1)) + (r__2 = r_imag(&d__), 
+			    dabs(r__2)) <= dmin__) {
+			q__1.r = dmin__, q__1.i = 0.f;
+			d__.r = q__1.r, d__.i = q__1.i;
+		    }
+
+		    if ((r__1 = d__.r, dabs(r__1)) + (r__2 = r_imag(&d__), 
+			    dabs(r__2)) < 1.f) {
+			if ((r__1 = sum.r, dabs(r__1)) + (r__2 = r_imag(&sum),
+				 dabs(r__2)) >= bignum * ((r__3 = d__.r, dabs(
+				r__3)) + (r__4 = r_imag(&d__), dabs(r__4)))) {
+			    temp = 1.f / ((r__1 = sum.r, dabs(r__1)) + (r__2 =
+				     r_imag(&sum), dabs(r__2)));
+			    i__3 = j - 1;
+			    for (jr = je; jr <= i__3; ++jr) {
+				i__4 = jr;
+				i__5 = jr;
+				q__1.r = temp * work[i__5].r, q__1.i = temp * 
+					work[i__5].i;
+				work[i__4].r = q__1.r, work[i__4].i = q__1.i;
+/* L90: */
+			    }
+			    xmax = temp * xmax;
+			    q__1.r = temp * sum.r, q__1.i = temp * sum.i;
+			    sum.r = q__1.r, sum.i = q__1.i;
+			}
+		    }
+		    i__3 = j;
+		    q__2.r = -sum.r, q__2.i = -sum.i;
+		    cladiv_(&q__1, &q__2, &d__);
+		    work[i__3].r = q__1.r, work[i__3].i = q__1.i;
+/* Computing MAX */
+		    i__3 = j;
+		    r__3 = xmax, r__4 = (r__1 = work[i__3].r, dabs(r__1)) + (
+			    r__2 = r_imag(&work[j]), dabs(r__2));
+		    xmax = dmax(r__3,r__4);
+/* L100: */
+		}
+
+/*              Back transform eigenvector if HOWMNY='B'. */
+
+		if (ilback) {
+		    i__2 = *n + 1 - je;
+		    cgemv_("N", n, &i__2, &c_b2, &vl[je * vl_dim1 + 1], ldvl, 
+			    &work[je], &c__1, &c_b1, &work[*n + 1], &c__1);
+		    isrc = 2;
+		    ibeg = 1;
+		} else {
+		    isrc = 1;
+		    ibeg = je;
+		}
+
+/*              Copy and scale eigenvector into column of VL */
+
+		xmax = 0.f;
+		i__2 = *n;
+		for (jr = ibeg; jr <= i__2; ++jr) {
+/* Computing MAX */
+		    i__3 = (isrc - 1) * *n + jr;
+		    r__3 = xmax, r__4 = (r__1 = work[i__3].r, dabs(r__1)) + (
+			    r__2 = r_imag(&work[(isrc - 1) * *n + jr]), dabs(
+			    r__2));
+		    xmax = dmax(r__3,r__4);
+/* L110: */
+		}
+
+		if (xmax > safmin) {
+		    temp = 1.f / xmax;
+		    i__2 = *n;
+		    for (jr = ibeg; jr <= i__2; ++jr) {
+			i__3 = jr + ieig * vl_dim1;
+			i__4 = (isrc - 1) * *n + jr;
+			q__1.r = temp * work[i__4].r, q__1.i = temp * work[
+				i__4].i;
+			vl[i__3].r = q__1.r, vl[i__3].i = q__1.i;
+/* L120: */
+		    }
+		} else {
+		    ibeg = *n + 1;
+		}
+
+		i__2 = ibeg - 1;
+		for (jr = 1; jr <= i__2; ++jr) {
+		    i__3 = jr + ieig * vl_dim1;
+		    vl[i__3].r = 0.f, vl[i__3].i = 0.f;
+/* L130: */
+		}
+
+	    }
+L140:
+	    ;
+	}
+    }
+
+/*     Right eigenvectors */
+
+    if (compr) {
+	ieig = im + 1;
+
+/*        Main loop over eigenvalues */
+
+	for (je = *n; je >= 1; --je) {
+	    if (ilall) {
+		ilcomp = TRUE_;
+	    } else {
+		ilcomp = select[je];
+	    }
+	    if (ilcomp) {
+		--ieig;
+
+		i__1 = je + je * s_dim1;
+		i__2 = je + je * p_dim1;
+		if ((r__2 = s[i__1].r, dabs(r__2)) + (r__3 = r_imag(&s[je + 
+			je * s_dim1]), dabs(r__3)) <= safmin && (r__1 = p[
+			i__2].r, dabs(r__1)) <= safmin) {
+
+/*                 Singular matrix pencil -- return unit eigenvector */
+
+		    i__1 = *n;
+		    for (jr = 1; jr <= i__1; ++jr) {
+			i__2 = jr + ieig * vr_dim1;
+			vr[i__2].r = 0.f, vr[i__2].i = 0.f;
+/* L150: */
+		    }
+		    i__1 = ieig + ieig * vr_dim1;
+		    vr[i__1].r = 1.f, vr[i__1].i = 0.f;
+		    goto L250;
+		}
+
+/*              Non-singular eigenvalue: */
+/*              Compute coefficients  a  and  b  in */
+
+/*              ( a A - b B ) x  = 0 */
+
+/* Computing MAX */
+		i__1 = je + je * s_dim1;
+		i__2 = je + je * p_dim1;
+		r__4 = ((r__2 = s[i__1].r, dabs(r__2)) + (r__3 = r_imag(&s[je 
+			+ je * s_dim1]), dabs(r__3))) * ascale, r__5 = (r__1 =
+			 p[i__2].r, dabs(r__1)) * bscale, r__4 = max(r__4,
+			r__5);
+		temp = 1.f / dmax(r__4,safmin);
+		i__1 = je + je * s_dim1;
+		q__2.r = temp * s[i__1].r, q__2.i = temp * s[i__1].i;
+		q__1.r = ascale * q__2.r, q__1.i = ascale * q__2.i;
+		salpha.r = q__1.r, salpha.i = q__1.i;
+		i__1 = je + je * p_dim1;
+		sbeta = temp * p[i__1].r * bscale;
+		acoeff = sbeta * ascale;
+		q__1.r = bscale * salpha.r, q__1.i = bscale * salpha.i;
+		bcoeff.r = q__1.r, bcoeff.i = q__1.i;
+
+/*              Scale to avoid underflow */
+
+		lsa = dabs(sbeta) >= safmin && dabs(acoeff) < small;
+		lsb = (r__1 = salpha.r, dabs(r__1)) + (r__2 = r_imag(&salpha),
+			 dabs(r__2)) >= safmin && (r__3 = bcoeff.r, dabs(r__3)
+			) + (r__4 = r_imag(&bcoeff), dabs(r__4)) < small;
+
+		scale = 1.f;
+		if (lsa) {
+		    scale = small / dabs(sbeta) * dmin(anorm,big);
+		}
+		if (lsb) {
+/* Computing MAX */
+		    r__3 = scale, r__4 = small / ((r__1 = salpha.r, dabs(r__1)
+			    ) + (r__2 = r_imag(&salpha), dabs(r__2))) * dmin(
+			    bnorm,big);
+		    scale = dmax(r__3,r__4);
+		}
+		if (lsa || lsb) {
+/* Computing MIN */
+/* Computing MAX */
+		    r__5 = 1.f, r__6 = dabs(acoeff), r__5 = max(r__5,r__6), 
+			    r__6 = (r__1 = bcoeff.r, dabs(r__1)) + (r__2 = 
+			    r_imag(&bcoeff), dabs(r__2));
+		    r__3 = scale, r__4 = 1.f / (safmin * dmax(r__5,r__6));
+		    scale = dmin(r__3,r__4);
+		    if (lsa) {
+			acoeff = ascale * (scale * sbeta);
+		    } else {
+			acoeff = scale * acoeff;
+		    }
+		    if (lsb) {
+			q__2.r = scale * salpha.r, q__2.i = scale * salpha.i;
+			q__1.r = bscale * q__2.r, q__1.i = bscale * q__2.i;
+			bcoeff.r = q__1.r, bcoeff.i = q__1.i;
+		    } else {
+			q__1.r = scale * bcoeff.r, q__1.i = scale * bcoeff.i;
+			bcoeff.r = q__1.r, bcoeff.i = q__1.i;
+		    }
+		}
+
+		acoefa = dabs(acoeff);
+		bcoefa = (r__1 = bcoeff.r, dabs(r__1)) + (r__2 = r_imag(&
+			bcoeff), dabs(r__2));
+		xmax = 1.f;
+		i__1 = *n;
+		for (jr = 1; jr <= i__1; ++jr) {
+		    i__2 = jr;
+		    work[i__2].r = 0.f, work[i__2].i = 0.f;
+/* L160: */
+		}
+		i__1 = je;
+		work[i__1].r = 1.f, work[i__1].i = 0.f;
+/* Computing MAX */
+		r__1 = ulp * acoefa * anorm, r__2 = ulp * bcoefa * bnorm, 
+			r__1 = max(r__1,r__2);
+		dmin__ = dmax(r__1,safmin);
+
+/*              Triangular solve of  (a A - b B) x = 0  (columnwise) */
+
+/*              WORK(1:j-1) contains sums w, */
+/*              WORK(j+1:JE) contains x */
+
+		i__1 = je - 1;
+		for (jr = 1; jr <= i__1; ++jr) {
+		    i__2 = jr;
+		    i__3 = jr + je * s_dim1;
+		    q__2.r = acoeff * s[i__3].r, q__2.i = acoeff * s[i__3].i;
+		    i__4 = jr + je * p_dim1;
+		    q__3.r = bcoeff.r * p[i__4].r - bcoeff.i * p[i__4].i, 
+			    q__3.i = bcoeff.r * p[i__4].i + bcoeff.i * p[i__4]
+			    .r;
+		    q__1.r = q__2.r - q__3.r, q__1.i = q__2.i - q__3.i;
+		    work[i__2].r = q__1.r, work[i__2].i = q__1.i;
+/* L170: */
+		}
+		i__1 = je;
+		work[i__1].r = 1.f, work[i__1].i = 0.f;
+
+		for (j = je - 1; j >= 1; --j) {
+
+/*                 Form x(j) := - w(j) / d */
+/*                 with scaling and perturbation of the denominator */
+
+		    i__1 = j + j * s_dim1;
+		    q__2.r = acoeff * s[i__1].r, q__2.i = acoeff * s[i__1].i;
+		    i__2 = j + j * p_dim1;
+		    q__3.r = bcoeff.r * p[i__2].r - bcoeff.i * p[i__2].i, 
+			    q__3.i = bcoeff.r * p[i__2].i + bcoeff.i * p[i__2]
+			    .r;
+		    q__1.r = q__2.r - q__3.r, q__1.i = q__2.i - q__3.i;
+		    d__.r = q__1.r, d__.i = q__1.i;
+		    if ((r__1 = d__.r, dabs(r__1)) + (r__2 = r_imag(&d__), 
+			    dabs(r__2)) <= dmin__) {
+			q__1.r = dmin__, q__1.i = 0.f;
+			d__.r = q__1.r, d__.i = q__1.i;
+		    }
+
+		    if ((r__1 = d__.r, dabs(r__1)) + (r__2 = r_imag(&d__), 
+			    dabs(r__2)) < 1.f) {
+			i__1 = j;
+			if ((r__1 = work[i__1].r, dabs(r__1)) + (r__2 = 
+				r_imag(&work[j]), dabs(r__2)) >= bignum * ((
+				r__3 = d__.r, dabs(r__3)) + (r__4 = r_imag(&
+				d__), dabs(r__4)))) {
+			    i__1 = j;
+			    temp = 1.f / ((r__1 = work[i__1].r, dabs(r__1)) + 
+				    (r__2 = r_imag(&work[j]), dabs(r__2)));
+			    i__1 = je;
+			    for (jr = 1; jr <= i__1; ++jr) {
+				i__2 = jr;
+				i__3 = jr;
+				q__1.r = temp * work[i__3].r, q__1.i = temp * 
+					work[i__3].i;
+				work[i__2].r = q__1.r, work[i__2].i = q__1.i;
+/* L180: */
+			    }
+			}
+		    }
+
+		    i__1 = j;
+		    i__2 = j;
+		    q__2.r = -work[i__2].r, q__2.i = -work[i__2].i;
+		    cladiv_(&q__1, &q__2, &d__);
+		    work[i__1].r = q__1.r, work[i__1].i = q__1.i;
+
+		    if (j > 1) {
+
+/*                    w = w + x(j)*(a S(*,j) - b P(*,j) ) with scaling */
+
+			i__1 = j;
+			if ((r__1 = work[i__1].r, dabs(r__1)) + (r__2 = 
+				r_imag(&work[j]), dabs(r__2)) > 1.f) {
+			    i__1 = j;
+			    temp = 1.f / ((r__1 = work[i__1].r, dabs(r__1)) + 
+				    (r__2 = r_imag(&work[j]), dabs(r__2)));
+			    if (acoefa * rwork[j] + bcoefa * rwork[*n + j] >= 
+				    bignum * temp) {
+				i__1 = je;
+				for (jr = 1; jr <= i__1; ++jr) {
+				    i__2 = jr;
+				    i__3 = jr;
+				    q__1.r = temp * work[i__3].r, q__1.i = 
+					    temp * work[i__3].i;
+				    work[i__2].r = q__1.r, work[i__2].i = 
+					    q__1.i;
+/* L190: */
+				}
+			    }
+			}
+
+			i__1 = j;
+			q__1.r = acoeff * work[i__1].r, q__1.i = acoeff * 
+				work[i__1].i;
+			ca.r = q__1.r, ca.i = q__1.i;
+			i__1 = j;
+			q__1.r = bcoeff.r * work[i__1].r - bcoeff.i * work[
+				i__1].i, q__1.i = bcoeff.r * work[i__1].i + 
+				bcoeff.i * work[i__1].r;
+			cb.r = q__1.r, cb.i = q__1.i;
+			i__1 = j - 1;
+			for (jr = 1; jr <= i__1; ++jr) {
+			    i__2 = jr;
+			    i__3 = jr;
+			    i__4 = jr + j * s_dim1;
+			    q__3.r = ca.r * s[i__4].r - ca.i * s[i__4].i, 
+				    q__3.i = ca.r * s[i__4].i + ca.i * s[i__4]
+				    .r;
+			    q__2.r = work[i__3].r + q__3.r, q__2.i = work[
+				    i__3].i + q__3.i;
+			    i__5 = jr + j * p_dim1;
+			    q__4.r = cb.r * p[i__5].r - cb.i * p[i__5].i, 
+				    q__4.i = cb.r * p[i__5].i + cb.i * p[i__5]
+				    .r;
+			    q__1.r = q__2.r - q__4.r, q__1.i = q__2.i - 
+				    q__4.i;
+			    work[i__2].r = q__1.r, work[i__2].i = q__1.i;
+/* L200: */
+			}
+		    }
+/* L210: */
+		}
+
+/*              Back transform eigenvector if HOWMNY='B'. */
+
+		if (ilback) {
+		    cgemv_("N", n, &je, &c_b2, &vr[vr_offset], ldvr, &work[1], 
+			     &c__1, &c_b1, &work[*n + 1], &c__1);
+		    isrc = 2;
+		    iend = *n;
+		} else {
+		    isrc = 1;
+		    iend = je;
+		}
+
+/*              Copy and scale eigenvector into column of VR */
+
+		xmax = 0.f;
+		i__1 = iend;
+		for (jr = 1; jr <= i__1; ++jr) {
+/* Computing MAX */
+		    i__2 = (isrc - 1) * *n + jr;
+		    r__3 = xmax, r__4 = (r__1 = work[i__2].r, dabs(r__1)) + (
+			    r__2 = r_imag(&work[(isrc - 1) * *n + jr]), dabs(
+			    r__2));
+		    xmax = dmax(r__3,r__4);
+/* L220: */
+		}
+
+		if (xmax > safmin) {
+		    temp = 1.f / xmax;
+		    i__1 = iend;
+		    for (jr = 1; jr <= i__1; ++jr) {
+			i__2 = jr + ieig * vr_dim1;
+			i__3 = (isrc - 1) * *n + jr;
+			q__1.r = temp * work[i__3].r, q__1.i = temp * work[
+				i__3].i;
+			vr[i__2].r = q__1.r, vr[i__2].i = q__1.i;
+/* L230: */
+		    }
+		} else {
+		    iend = 0;
+		}
+
+		i__1 = *n;
+		for (jr = iend + 1; jr <= i__1; ++jr) {
+		    i__2 = jr + ieig * vr_dim1;
+		    vr[i__2].r = 0.f, vr[i__2].i = 0.f;
+/* L240: */
+		}
+
+	    }
+L250:
+	    ;
+	}
+    }
+
+    return 0;
+
+/*     End of CTGEVC */
+
+} /* ctgevc_ */