[] add metering mode to CLI

1 files changed, 195 insertions, 0 deletions

diff --git a/contrib/libs/clapack/zpoequb.c b/contrib/libs/clapack/zpoequb.c
new file mode 100644
index 0000000000..e1235c7978
--- /dev/null
+++ b/contrib/libs/clapack/zpoequb.c
@@ -0,0 +1,195 @@
+/* zpoequb.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"
+
+/* Subroutine */ int zpoequb_(integer *n, doublecomplex *a, integer *lda, 
+	doublereal *s, doublereal *scond, doublereal *amax, integer *info)
+{
+    /* System generated locals */
+    integer a_dim1, a_offset, i__1, i__2, i__3;
+    doublereal d__1, d__2;
+
+    /* Builtin functions */
+    double log(doublereal), pow_di(doublereal *, integer *), sqrt(doublereal);
+
+    /* Local variables */
+    integer i__;
+    doublereal tmp, base, smin;
+    extern doublereal dlamch_(char *);
+    extern /* Subroutine */ int xerbla_(char *, integer *);
+
+
+/*     -- LAPACK routine (version 3.2)                                 -- */
+/*     -- Contributed by James Demmel, Deaglan Halligan, Yozo Hida and -- */
+/*     -- Jason Riedy of Univ. of California Berkeley.                 -- */
+/*     -- November 2008                                                -- */
+
+/*     -- LAPACK is a software package provided by Univ. of Tennessee, -- */
+/*     -- Univ. of California Berkeley and NAG Ltd.                    -- */
+
+/*     .. */
+/*     .. Scalar Arguments .. */
+/*     .. */
+/*     .. Array Arguments .. */
+/*     .. */
+
+/*  Purpose */
+/*  ======= */
+
+/*  ZPOEQUB computes row and column scalings intended to equilibrate a */
+/*  symmetric positive definite matrix A and reduce its condition number */
+/*  (with respect to the two-norm).  S contains the scale factors, */
+/*  S(i) = 1/sqrt(A(i,i)), chosen so that the scaled matrix B with */
+/*  elements B(i,j) = S(i)*A(i,j)*S(j) has ones on the diagonal.  This */
+/*  choice of S puts the condition number of B within a factor N of the */
+/*  smallest possible condition number over all possible diagonal */
+/*  scalings. */
+
+/*  Arguments */
+/*  ========= */
+
+/*  N       (input) INTEGER */
+/*          The order of the matrix A.  N >= 0. */
+
+/*  A       (input) COMPLEX*16 array, dimension (LDA,N) */
+/*          The N-by-N symmetric positive definite matrix whose scaling */
+/*          factors are to be computed.  Only the diagonal elements of A */
+/*          are referenced. */
+
+/*  LDA     (input) INTEGER */
+/*          The leading dimension of the array A.  LDA >= max(1,N). */
+
+/*  S       (output) DOUBLE PRECISION array, dimension (N) */
+/*          If INFO = 0, S contains the scale factors for A. */
+
+/*  SCOND   (output) DOUBLE PRECISION */
+/*          If INFO = 0, S contains the ratio of the smallest S(i) to */
+/*          the largest S(i).  If SCOND >= 0.1 and AMAX is neither too */
+/*          large nor too small, it is not worth scaling by S. */
+
+/*  AMAX    (output) DOUBLE PRECISION */
+/*          Absolute value of largest matrix element.  If AMAX is very */
+/*          close to overflow or very close to underflow, the matrix */
+/*          should be scaled. */
+
+/*  INFO    (output) INTEGER */
+/*          = 0:  successful exit */
+/*          < 0:  if INFO = -i, the i-th argument had an illegal value */
+/*          > 0:  if INFO = i, the i-th diagonal element is nonpositive. */
+
+/*  ===================================================================== */
+
+/*     .. Parameters .. */
+/*     .. */
+/*     .. Local Scalars .. */
+/*     .. */
+/*     .. External Functions .. */
+/*     .. */
+/*     .. External Subroutines .. */
+/*     .. */
+/*     .. Intrinsic Functions .. */
+/*     .. */
+/*     .. Statement Functions .. */
+/*     .. */
+/*     .. Statement Function Definitions .. */
+/*     .. */
+/*     .. Executable Statements .. */
+
+/*     Test the input parameters. */
+
+/*     Positive definite only performs 1 pass of equilibration. */
+
+    /* Parameter adjustments */
+    a_dim1 = *lda;
+    a_offset = 1 + a_dim1;
+    a -= a_offset;
+    --s;
+
+    /* Function Body */
+    *info = 0;
+    if (*n < 0) {
+	*info = -1;
+    } else if (*lda < max(1,*n)) {
+	*info = -3;
+    }
+    if (*info != 0) {
+	i__1 = -(*info);
+	xerbla_("ZPOEQUB", &i__1);
+	return 0;
+    }
+
+/*     Quick return if possible. */
+
+    if (*n == 0) {
+	*scond = 1.;
+	*amax = 0.;
+	return 0;
+    }
+    base = dlamch_("B");
+    tmp = -.5 / log(base);
+
+/*     Find the minimum and maximum diagonal elements. */
+
+    i__1 = a_dim1 + 1;
+    s[1] = a[i__1].r;
+    smin = s[1];
+    *amax = s[1];
+    i__1 = *n;
+    for (i__ = 2; i__ <= i__1; ++i__) {
+	i__2 = i__;
+	i__3 = i__ + i__ * a_dim1;
+	s[i__2] = a[i__3].r;
+/* Computing MIN */
+	d__1 = smin, d__2 = s[i__];
+	smin = min(d__1,d__2);
+/* Computing MAX */
+	d__1 = *amax, d__2 = s[i__];
+	*amax = max(d__1,d__2);
+/* L10: */
+    }
+
+    if (smin <= 0.) {
+
+/*        Find the first non-positive diagonal element and return. */
+
+	i__1 = *n;
+	for (i__ = 1; i__ <= i__1; ++i__) {
+	    if (s[i__] <= 0.) {
+		*info = i__;
+		return 0;
+	    }
+/* L20: */
+	}
+    } else {
+
+/*        Set the scale factors to the reciprocals */
+/*        of the diagonal elements. */
+
+	i__1 = *n;
+	for (i__ = 1; i__ <= i__1; ++i__) {
+	    i__2 = (integer) (tmp * log(s[i__]));
+	    s[i__] = pow_di(&base, &i__2);
+/* L30: */
+	}
+
+/*        Compute SCOND = min(S(I)) / max(S(I)). */
+
+	*scond = sqrt(smin) / sqrt(*amax);
+    }
+
+    return 0;
+
+/*     End of ZPOEQUB */
+
+} /* zpoequb_ */