[] add metering mode to CLI

1 files changed, 533 insertions, 0 deletions

diff --git a/contrib/libs/clapack/ztrevc.c b/contrib/libs/clapack/ztrevc.c
new file mode 100644
index 0000000000..3e4f836ed2
--- /dev/null
+++ b/contrib/libs/clapack/ztrevc.c
@@ -0,0 +1,533 @@
+/* ztrevc.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_b2 = {1.,0.};
+static integer c__1 = 1;
+
+/* Subroutine */ int ztrevc_(char *side, char *howmny, logical *select, 
+	integer *n, doublecomplex *t, integer *ldt, doublecomplex *vl, 
+	integer *ldvl, doublecomplex *vr, integer *ldvr, integer *mm, integer 
+	*m, doublecomplex *work, doublereal *rwork, integer *info)
+{
+    /* System generated locals */
+    integer t_dim1, t_offset, vl_dim1, vl_offset, vr_dim1, vr_offset, i__1, 
+	    i__2, i__3, i__4, i__5;
+    doublereal d__1, d__2, d__3;
+    doublecomplex z__1, z__2;
+
+    /* Builtin functions */
+    double d_imag(doublecomplex *);
+    void d_cnjg(doublecomplex *, doublecomplex *);
+
+    /* Local variables */
+    integer i__, j, k, ii, ki, is;
+    doublereal ulp;
+    logical allv;
+    doublereal unfl, ovfl, smin;
+    logical over;
+    doublereal scale;
+    extern logical lsame_(char *, char *);
+    doublereal remax;
+    logical leftv, bothv;
+    extern /* Subroutine */ int zgemv_(char *, integer *, integer *, 
+	    doublecomplex *, doublecomplex *, integer *, doublecomplex *, 
+	    integer *, doublecomplex *, doublecomplex *, integer *);
+    logical somev;
+    extern /* Subroutine */ int zcopy_(integer *, doublecomplex *, integer *, 
+	    doublecomplex *, integer *), dlabad_(doublereal *, doublereal *);
+    extern doublereal dlamch_(char *);
+    extern /* Subroutine */ int xerbla_(char *, integer *), zdscal_(
+	    integer *, doublereal *, doublecomplex *, integer *);
+    extern integer izamax_(integer *, doublecomplex *, integer *);
+    logical rightv;
+    extern doublereal dzasum_(integer *, doublecomplex *, integer *);
+    doublereal smlnum;
+    extern /* Subroutine */ int zlatrs_(char *, char *, char *, char *, 
+	    integer *, doublecomplex *, integer *, doublecomplex *, 
+	    doublereal *, doublereal *, integer *);
+
+
+/*  -- LAPACK routine (version 3.2) -- */
+/*     Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */
+/*     November 2006 */
+
+/*     .. Scalar Arguments .. */
+/*     .. */
+/*     .. Array Arguments .. */
+/*     .. */
+
+/*  Purpose */
+/*  ======= */
+
+/*  ZTREVC computes some or all of the right and/or left eigenvectors of */
+/*  a complex upper triangular matrix T. */
+/*  Matrices of this type are produced by the Schur factorization of */
+/*  a complex general matrix:  A = Q*T*Q**H, as computed by ZHSEQR. */
+
+/*  The right eigenvector x and the left eigenvector y of T corresponding */
+/*  to an eigenvalue w are defined by: */
+
+/*               T*x = w*x,     (y**H)*T = w*(y**H) */
+
+/*  where y**H denotes the conjugate transpose of the vector y. */
+/*  The eigenvalues are not input to this routine, but are read directly */
+/*  from the diagonal of T. */
+
+/*  This routine returns the matrices X and/or Y of right and left */
+/*  eigenvectors of T, or the products Q*X and/or Q*Y, where Q is an */
+/*  input matrix.  If Q is the unitary factor that reduces a matrix A to */
+/*  Schur form T, then Q*X and Q*Y are the matrices of right and left */
+/*  eigenvectors of A. */
+
+/*  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 using the matrices supplied in */
+/*                  VR and/or VL; */
+/*          = 'S':  compute selected right and/or left eigenvectors, */
+/*                  as indicated 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 matrix T. N >= 0. */
+
+/*  T       (input/output) COMPLEX*16 array, dimension (LDT,N) */
+/*          The upper triangular matrix T.  T is modified, but restored */
+/*          on exit. */
+
+/*  LDT     (input) INTEGER */
+/*          The leading dimension of the array T. LDT >= max(1,N). */
+
+/*  VL      (input/output) COMPLEX*16 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 */
+/*          Schur vectors returned by ZHSEQR). */
+/*          On exit, if SIDE = 'L' or 'B', VL contains: */
+/*          if HOWMNY = 'A', the matrix Y of left eigenvectors of T; */
+/*          if HOWMNY = 'B', the matrix Q*Y; */
+/*          if HOWMNY = 'S', the left eigenvectors of T 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 the array VL.  LDVL >= 1, and if */
+/*          SIDE = 'L' or 'B', LDVL >= N. */
+
+/*  VR      (input/output) COMPLEX*16 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 Q of */
+/*          Schur vectors returned by ZHSEQR). */
+/*          On exit, if SIDE = 'R' or 'B', VR contains: */
+/*          if HOWMNY = 'A', the matrix X of right eigenvectors of T; */
+/*          if HOWMNY = 'B', the matrix Q*X; */
+/*          if HOWMNY = 'S', the right eigenvectors of T 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*16 array, dimension (2*N) */
+
+/*  RWORK   (workspace) DOUBLE PRECISION array, dimension (N) */
+
+/*  INFO    (output) INTEGER */
+/*          = 0:  successful exit */
+/*          < 0:  if INFO = -i, the i-th argument had an illegal value */
+
+/*  Further Details */
+/*  =============== */
+
+/*  The algorithm used in this program is basically backward (forward) */
+/*  substitution, with scaling to make the the code robust against */
+/*  possible overflow. */
+
+/*  Each eigenvector is normalized so that the element of largest */
+/*  magnitude has magnitude 1; here the magnitude of a complex number */
+/*  (x,y) is taken to be |x| + |y|. */
+
+/*  ===================================================================== */
+
+/*     .. 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;
+    t_dim1 = *ldt;
+    t_offset = 1 + t_dim1;
+    t -= t_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 */
+    bothv = lsame_(side, "B");
+    rightv = lsame_(side, "R") || bothv;
+    leftv = lsame_(side, "L") || bothv;
+
+    allv = lsame_(howmny, "A");
+    over = lsame_(howmny, "B");
+    somev = lsame_(howmny, "S");
+
+/*     Set M to the number of columns required to store the selected */
+/*     eigenvectors. */
+
+    if (somev) {
+	*m = 0;
+	i__1 = *n;
+	for (j = 1; j <= i__1; ++j) {
+	    if (select[j]) {
+		++(*m);
+	    }
+/* L10: */
+	}
+    } else {
+	*m = *n;
+    }
+
+    *info = 0;
+    if (! rightv && ! leftv) {
+	*info = -1;
+    } else if (! allv && ! over && ! somev) {
+	*info = -2;
+    } else if (*n < 0) {
+	*info = -4;
+    } else if (*ldt < max(1,*n)) {
+	*info = -6;
+    } else if (*ldvl < 1 || leftv && *ldvl < *n) {
+	*info = -8;
+    } else if (*ldvr < 1 || rightv && *ldvr < *n) {
+	*info = -10;
+    } else if (*mm < *m) {
+	*info = -11;
+    }
+    if (*info != 0) {
+	i__1 = -(*info);
+	xerbla_("ZTREVC", &i__1);
+	return 0;
+    }
+
+/*     Quick return if possible. */
+
+    if (*n == 0) {
+	return 0;
+    }
+
+/*     Set the constants to control overflow. */
+
+    unfl = dlamch_("Safe minimum");
+    ovfl = 1. / unfl;
+    dlabad_(&unfl, &ovfl);
+    ulp = dlamch_("Precision");
+    smlnum = unfl * (*n / ulp);
+
+/*     Store the diagonal elements of T in working array WORK. */
+
+    i__1 = *n;
+    for (i__ = 1; i__ <= i__1; ++i__) {
+	i__2 = i__ + *n;
+	i__3 = i__ + i__ * t_dim1;
+	work[i__2].r = t[i__3].r, work[i__2].i = t[i__3].i;
+/* L20: */
+    }
+
+/*     Compute 1-norm of each column of strictly upper triangular */
+/*     part of T to control overflow in triangular solver. */
+
+    rwork[1] = 0.;
+    i__1 = *n;
+    for (j = 2; j <= i__1; ++j) {
+	i__2 = j - 1;
+	rwork[j] = dzasum_(&i__2, &t[j * t_dim1 + 1], &c__1);
+/* L30: */
+    }
+
+    if (rightv) {
+
+/*        Compute right eigenvectors. */
+
+	is = *m;
+	for (ki = *n; ki >= 1; --ki) {
+
+	    if (somev) {
+		if (! select[ki]) {
+		    goto L80;
+		}
+	    }
+/* Computing MAX */
+	    i__1 = ki + ki * t_dim1;
+	    d__3 = ulp * ((d__1 = t[i__1].r, abs(d__1)) + (d__2 = d_imag(&t[
+		    ki + ki * t_dim1]), abs(d__2)));
+	    smin = max(d__3,smlnum);
+
+	    work[1].r = 1., work[1].i = 0.;
+
+/*           Form right-hand side. */
+
+	    i__1 = ki - 1;
+	    for (k = 1; k <= i__1; ++k) {
+		i__2 = k;
+		i__3 = k + ki * t_dim1;
+		z__1.r = -t[i__3].r, z__1.i = -t[i__3].i;
+		work[i__2].r = z__1.r, work[i__2].i = z__1.i;
+/* L40: */
+	    }
+
+/*           Solve the triangular system: */
+/*              (T(1:KI-1,1:KI-1) - T(KI,KI))*X = SCALE*WORK. */
+
+	    i__1 = ki - 1;
+	    for (k = 1; k <= i__1; ++k) {
+		i__2 = k + k * t_dim1;
+		i__3 = k + k * t_dim1;
+		i__4 = ki + ki * t_dim1;
+		z__1.r = t[i__3].r - t[i__4].r, z__1.i = t[i__3].i - t[i__4]
+			.i;
+		t[i__2].r = z__1.r, t[i__2].i = z__1.i;
+		i__2 = k + k * t_dim1;
+		if ((d__1 = t[i__2].r, abs(d__1)) + (d__2 = d_imag(&t[k + k * 
+			t_dim1]), abs(d__2)) < smin) {
+		    i__3 = k + k * t_dim1;
+		    t[i__3].r = smin, t[i__3].i = 0.;
+		}
+/* L50: */
+	    }
+
+	    if (ki > 1) {
+		i__1 = ki - 1;
+		zlatrs_("Upper", "No transpose", "Non-unit", "Y", &i__1, &t[
+			t_offset], ldt, &work[1], &scale, &rwork[1], info);
+		i__1 = ki;
+		work[i__1].r = scale, work[i__1].i = 0.;
+	    }
+
+/*           Copy the vector x or Q*x to VR and normalize. */
+
+	    if (! over) {
+		zcopy_(&ki, &work[1], &c__1, &vr[is * vr_dim1 + 1], &c__1);
+
+		ii = izamax_(&ki, &vr[is * vr_dim1 + 1], &c__1);
+		i__1 = ii + is * vr_dim1;
+		remax = 1. / ((d__1 = vr[i__1].r, abs(d__1)) + (d__2 = d_imag(
+			&vr[ii + is * vr_dim1]), abs(d__2)));
+		zdscal_(&ki, &remax, &vr[is * vr_dim1 + 1], &c__1);
+
+		i__1 = *n;
+		for (k = ki + 1; k <= i__1; ++k) {
+		    i__2 = k + is * vr_dim1;
+		    vr[i__2].r = 0., vr[i__2].i = 0.;
+/* L60: */
+		}
+	    } else {
+		if (ki > 1) {
+		    i__1 = ki - 1;
+		    z__1.r = scale, z__1.i = 0.;
+		    zgemv_("N", n, &i__1, &c_b2, &vr[vr_offset], ldvr, &work[
+			    1], &c__1, &z__1, &vr[ki * vr_dim1 + 1], &c__1);
+		}
+
+		ii = izamax_(n, &vr[ki * vr_dim1 + 1], &c__1);
+		i__1 = ii + ki * vr_dim1;
+		remax = 1. / ((d__1 = vr[i__1].r, abs(d__1)) + (d__2 = d_imag(
+			&vr[ii + ki * vr_dim1]), abs(d__2)));
+		zdscal_(n, &remax, &vr[ki * vr_dim1 + 1], &c__1);
+	    }
+
+/*           Set back the original diagonal elements of T. */
+
+	    i__1 = ki - 1;
+	    for (k = 1; k <= i__1; ++k) {
+		i__2 = k + k * t_dim1;
+		i__3 = k + *n;
+		t[i__2].r = work[i__3].r, t[i__2].i = work[i__3].i;
+/* L70: */
+	    }
+
+	    --is;
+L80:
+	    ;
+	}
+    }
+
+    if (leftv) {
+
+/*        Compute left eigenvectors. */
+
+	is = 1;
+	i__1 = *n;
+	for (ki = 1; ki <= i__1; ++ki) {
+
+	    if (somev) {
+		if (! select[ki]) {
+		    goto L130;
+		}
+	    }
+/* Computing MAX */
+	    i__2 = ki + ki * t_dim1;
+	    d__3 = ulp * ((d__1 = t[i__2].r, abs(d__1)) + (d__2 = d_imag(&t[
+		    ki + ki * t_dim1]), abs(d__2)));
+	    smin = max(d__3,smlnum);
+
+	    i__2 = *n;
+	    work[i__2].r = 1., work[i__2].i = 0.;
+
+/*           Form right-hand side. */
+
+	    i__2 = *n;
+	    for (k = ki + 1; k <= i__2; ++k) {
+		i__3 = k;
+		d_cnjg(&z__2, &t[ki + k * t_dim1]);
+		z__1.r = -z__2.r, z__1.i = -z__2.i;
+		work[i__3].r = z__1.r, work[i__3].i = z__1.i;
+/* L90: */
+	    }
+
+/*           Solve the triangular system: */
+/*              (T(KI+1:N,KI+1:N) - T(KI,KI))'*X = SCALE*WORK. */
+
+	    i__2 = *n;
+	    for (k = ki + 1; k <= i__2; ++k) {
+		i__3 = k + k * t_dim1;
+		i__4 = k + k * t_dim1;
+		i__5 = ki + ki * t_dim1;
+		z__1.r = t[i__4].r - t[i__5].r, z__1.i = t[i__4].i - t[i__5]
+			.i;
+		t[i__3].r = z__1.r, t[i__3].i = z__1.i;
+		i__3 = k + k * t_dim1;
+		if ((d__1 = t[i__3].r, abs(d__1)) + (d__2 = d_imag(&t[k + k * 
+			t_dim1]), abs(d__2)) < smin) {
+		    i__4 = k + k * t_dim1;
+		    t[i__4].r = smin, t[i__4].i = 0.;
+		}
+/* L100: */
+	    }
+
+	    if (ki < *n) {
+		i__2 = *n - ki;
+		zlatrs_("Upper", "Conjugate transpose", "Non-unit", "Y", &
+			i__2, &t[ki + 1 + (ki + 1) * t_dim1], ldt, &work[ki + 
+			1], &scale, &rwork[1], info);
+		i__2 = ki;
+		work[i__2].r = scale, work[i__2].i = 0.;
+	    }
+
+/*           Copy the vector x or Q*x to VL and normalize. */
+
+	    if (! over) {
+		i__2 = *n - ki + 1;
+		zcopy_(&i__2, &work[ki], &c__1, &vl[ki + is * vl_dim1], &c__1)
+			;
+
+		i__2 = *n - ki + 1;
+		ii = izamax_(&i__2, &vl[ki + is * vl_dim1], &c__1) + ki - 1;
+		i__2 = ii + is * vl_dim1;
+		remax = 1. / ((d__1 = vl[i__2].r, abs(d__1)) + (d__2 = d_imag(
+			&vl[ii + is * vl_dim1]), abs(d__2)));
+		i__2 = *n - ki + 1;
+		zdscal_(&i__2, &remax, &vl[ki + is * vl_dim1], &c__1);
+
+		i__2 = ki - 1;
+		for (k = 1; k <= i__2; ++k) {
+		    i__3 = k + is * vl_dim1;
+		    vl[i__3].r = 0., vl[i__3].i = 0.;
+/* L110: */
+		}
+	    } else {
+		if (ki < *n) {
+		    i__2 = *n - ki;
+		    z__1.r = scale, z__1.i = 0.;
+		    zgemv_("N", n, &i__2, &c_b2, &vl[(ki + 1) * vl_dim1 + 1], 
+			    ldvl, &work[ki + 1], &c__1, &z__1, &vl[ki * 
+			    vl_dim1 + 1], &c__1);
+		}
+
+		ii = izamax_(n, &vl[ki * vl_dim1 + 1], &c__1);
+		i__2 = ii + ki * vl_dim1;
+		remax = 1. / ((d__1 = vl[i__2].r, abs(d__1)) + (d__2 = d_imag(
+			&vl[ii + ki * vl_dim1]), abs(d__2)));
+		zdscal_(n, &remax, &vl[ki * vl_dim1 + 1], &c__1);
+	    }
+
+/*           Set back the original diagonal elements of T. */
+
+	    i__2 = *n;
+	    for (k = ki + 1; k <= i__2; ++k) {
+		i__3 = k + k * t_dim1;
+		i__4 = k + *n;
+		t[i__3].r = work[i__4].r, t[i__3].i = work[i__4].i;
+/* L120: */
+	    }
+
+	    ++is;
+L130:
+	    ;
+	}
+    }
+
+    return 0;
+
+/*     End of ZTREVC */
+
+} /* ztrevc_ */