[] add metering mode to CLI

1 files changed, 451 insertions, 0 deletions

diff --git a/contrib/libs/clapack/csyequb.c b/contrib/libs/clapack/csyequb.c
new file mode 100644
index 0000000000..d2e20e34ca
--- /dev/null
+++ b/contrib/libs/clapack/csyequb.c
@@ -0,0 +1,451 @@
+/* csyequb.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 integer c__1 = 1;
+
+/* Subroutine */ int csyequb_(char *uplo, integer *n, complex *a, integer *
+	lda, real *s, real *scond, real *amax, complex *work, integer *info)
+{
+    /* System generated locals */
+    integer a_dim1, a_offset, i__1, i__2, i__3, i__4, i__5;
+    real r__1, r__2, r__3, r__4;
+    doublereal d__1;
+    complex q__1, q__2, q__3, q__4;
+
+    /* Builtin functions */
+    double r_imag(complex *), sqrt(doublereal), log(doublereal), pow_ri(real *
+	    , integer *);
+
+    /* Local variables */
+    real d__;
+    integer i__, j;
+    real t, u, c0, c1, c2, si;
+    logical up;
+    real avg, std, tol, base;
+    integer iter;
+    real smin, smax, scale;
+    extern logical lsame_(char *, char *);
+    real sumsq;
+    extern doublereal slamch_(char *);
+    extern /* Subroutine */ int xerbla_(char *, integer *);
+    real bignum;
+    extern /* Subroutine */ int classq_(integer *, complex *, integer *, real 
+	    *, real *);
+    real smlnum;
+
+
+/*     -- 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 */
+/*  ======= */
+
+/*  CSYEQUB computes row and column scalings intended to equilibrate a */
+/*  symmetric 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 array, dimension (LDA,N) */
+/*          The N-by-N symmetric 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) REAL array, dimension (N) */
+/*          If INFO = 0, S contains the scale factors for A. */
+
+/*  SCOND   (output) REAL */
+/*          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) REAL */
+/*          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. */
+
+/*  Further Details */
+/*  ======= ======= */
+
+/*  Reference: Livne, O.E. and Golub, G.H., "Scaling by Binormalization", */
+/*  Numerical Algorithms, vol. 35, no. 1, pp. 97-120, January 2004. */
+/*  DOI 10.1023/B:NUMA.0000016606.32820.69 */
+/*  Tech report version: http://ruready.utah.edu/archive/papers/bin.pdf */
+
+/*  ===================================================================== */
+
+/*     .. Parameters .. */
+/*     .. */
+/*     .. Local Scalars .. */
+/*     .. */
+/*     .. External Functions .. */
+/*     .. */
+/*     .. External Subroutines .. */
+/*     .. */
+/*     .. Statement Functions .. */
+/*     .. */
+/*     Statement Function Definitions */
+/*     .. */
+/*     .. Executable Statements .. */
+
+/*     Test the input parameters. */
+
+    /* Parameter adjustments */
+    a_dim1 = *lda;
+    a_offset = 1 + a_dim1;
+    a -= a_offset;
+    --s;
+    --work;
+
+    /* Function Body */
+    *info = 0;
+    if (! (lsame_(uplo, "U") || lsame_(uplo, "L"))) {
+	*info = -1;
+    } else if (*n < 0) {
+	*info = -2;
+    } else if (*lda < max(1,*n)) {
+	*info = -4;
+    }
+    if (*info != 0) {
+	i__1 = -(*info);
+	xerbla_("CSYEQUB", &i__1);
+	return 0;
+    }
+    up = lsame_(uplo, "U");
+    *amax = 0.f;
+
+/*     Quick return if possible. */
+
+    if (*n == 0) {
+	*scond = 1.f;
+	return 0;
+    }
+    i__1 = *n;
+    for (i__ = 1; i__ <= i__1; ++i__) {
+	s[i__] = 0.f;
+    }
+    *amax = 0.f;
+    if (up) {
+	i__1 = *n;
+	for (j = 1; j <= i__1; ++j) {
+	    i__2 = j - 1;
+	    for (i__ = 1; i__ <= i__2; ++i__) {
+/* Computing MAX */
+		i__3 = i__ + j * a_dim1;
+		r__3 = s[i__], r__4 = (r__1 = a[i__3].r, dabs(r__1)) + (r__2 =
+			 r_imag(&a[i__ + j * a_dim1]), dabs(r__2));
+		s[i__] = dmax(r__3,r__4);
+/* Computing MAX */
+		i__3 = i__ + j * a_dim1;
+		r__3 = s[j], r__4 = (r__1 = a[i__3].r, dabs(r__1)) + (r__2 = 
+			r_imag(&a[i__ + j * a_dim1]), dabs(r__2));
+		s[j] = dmax(r__3,r__4);
+/* Computing MAX */
+		i__3 = i__ + j * a_dim1;
+		r__3 = *amax, r__4 = (r__1 = a[i__3].r, dabs(r__1)) + (r__2 = 
+			r_imag(&a[i__ + j * a_dim1]), dabs(r__2));
+		*amax = dmax(r__3,r__4);
+	    }
+/* Computing MAX */
+	    i__2 = j + j * a_dim1;
+	    r__3 = s[j], r__4 = (r__1 = a[i__2].r, dabs(r__1)) + (r__2 = 
+		    r_imag(&a[j + j * a_dim1]), dabs(r__2));
+	    s[j] = dmax(r__3,r__4);
+/* Computing MAX */
+	    i__2 = j + j * a_dim1;
+	    r__3 = *amax, r__4 = (r__1 = a[i__2].r, dabs(r__1)) + (r__2 = 
+		    r_imag(&a[j + j * a_dim1]), dabs(r__2));
+	    *amax = dmax(r__3,r__4);
+	}
+    } else {
+	i__1 = *n;
+	for (j = 1; j <= i__1; ++j) {
+/* Computing MAX */
+	    i__2 = j + j * a_dim1;
+	    r__3 = s[j], r__4 = (r__1 = a[i__2].r, dabs(r__1)) + (r__2 = 
+		    r_imag(&a[j + j * a_dim1]), dabs(r__2));
+	    s[j] = dmax(r__3,r__4);
+/* Computing MAX */
+	    i__2 = j + j * a_dim1;
+	    r__3 = *amax, r__4 = (r__1 = a[i__2].r, dabs(r__1)) + (r__2 = 
+		    r_imag(&a[j + j * a_dim1]), dabs(r__2));
+	    *amax = dmax(r__3,r__4);
+	    i__2 = *n;
+	    for (i__ = j + 1; i__ <= i__2; ++i__) {
+/* Computing MAX */
+		i__3 = i__ + j * a_dim1;
+		r__3 = s[i__], r__4 = (r__1 = a[i__3].r, dabs(r__1)) + (r__2 =
+			 r_imag(&a[i__ + j * a_dim1]), dabs(r__2));
+		s[i__] = dmax(r__3,r__4);
+/* Computing MAX */
+		i__3 = i__ + j * a_dim1;
+		r__3 = s[j], r__4 = (r__1 = a[i__3].r, dabs(r__1)) + (r__2 = 
+			r_imag(&a[i__ + j * a_dim1]), dabs(r__2));
+		s[j] = dmax(r__3,r__4);
+/* Computing MAX */
+		i__3 = i__ + j * a_dim1;
+		r__3 = *amax, r__4 = (r__1 = a[i__3].r, dabs(r__1)) + (r__2 = 
+			r_imag(&a[i__ + j * a_dim1]), dabs(r__2));
+		*amax = dmax(r__3,r__4);
+	    }
+	}
+    }
+    i__1 = *n;
+    for (j = 1; j <= i__1; ++j) {
+	s[j] = 1.f / s[j];
+    }
+    tol = 1.f / sqrt(*n * 2.f);
+    for (iter = 1; iter <= 100; ++iter) {
+	scale = 0.f;
+	sumsq = 0.f;
+/*       beta = |A|s */
+	i__1 = *n;
+	for (i__ = 1; i__ <= i__1; ++i__) {
+	    i__2 = i__;
+	    work[i__2].r = 0.f, work[i__2].i = 0.f;
+	}
+	if (up) {
+	    i__1 = *n;
+	    for (j = 1; j <= i__1; ++j) {
+		i__2 = j - 1;
+		for (i__ = 1; i__ <= i__2; ++i__) {
+		    i__3 = i__ + j * a_dim1;
+		    t = (r__1 = a[i__3].r, dabs(r__1)) + (r__2 = r_imag(&a[
+			    i__ + j * a_dim1]), dabs(r__2));
+		    i__3 = i__;
+		    i__4 = i__;
+		    i__5 = i__ + j * a_dim1;
+		    r__3 = ((r__1 = a[i__5].r, dabs(r__1)) + (r__2 = r_imag(&
+			    a[i__ + j * a_dim1]), dabs(r__2))) * s[j];
+		    q__1.r = work[i__4].r + r__3, q__1.i = work[i__4].i;
+		    work[i__3].r = q__1.r, work[i__3].i = q__1.i;
+		    i__3 = j;
+		    i__4 = j;
+		    i__5 = i__ + j * a_dim1;
+		    r__3 = ((r__1 = a[i__5].r, dabs(r__1)) + (r__2 = r_imag(&
+			    a[i__ + j * a_dim1]), dabs(r__2))) * s[i__];
+		    q__1.r = work[i__4].r + r__3, q__1.i = work[i__4].i;
+		    work[i__3].r = q__1.r, work[i__3].i = q__1.i;
+		}
+		i__2 = j;
+		i__3 = j;
+		i__4 = j + j * a_dim1;
+		r__3 = ((r__1 = a[i__4].r, dabs(r__1)) + (r__2 = r_imag(&a[j 
+			+ j * a_dim1]), dabs(r__2))) * s[j];
+		q__1.r = work[i__3].r + r__3, q__1.i = work[i__3].i;
+		work[i__2].r = q__1.r, work[i__2].i = q__1.i;
+	    }
+	} else {
+	    i__1 = *n;
+	    for (j = 1; j <= i__1; ++j) {
+		i__2 = j;
+		i__3 = j;
+		i__4 = j + j * a_dim1;
+		r__3 = ((r__1 = a[i__4].r, dabs(r__1)) + (r__2 = r_imag(&a[j 
+			+ j * a_dim1]), dabs(r__2))) * s[j];
+		q__1.r = work[i__3].r + r__3, q__1.i = work[i__3].i;
+		work[i__2].r = q__1.r, work[i__2].i = q__1.i;
+		i__2 = *n;
+		for (i__ = j + 1; i__ <= i__2; ++i__) {
+		    i__3 = i__ + j * a_dim1;
+		    t = (r__1 = a[i__3].r, dabs(r__1)) + (r__2 = r_imag(&a[
+			    i__ + j * a_dim1]), dabs(r__2));
+		    i__3 = i__;
+		    i__4 = i__;
+		    i__5 = i__ + j * a_dim1;
+		    r__3 = ((r__1 = a[i__5].r, dabs(r__1)) + (r__2 = r_imag(&
+			    a[i__ + j * a_dim1]), dabs(r__2))) * s[j];
+		    q__1.r = work[i__4].r + r__3, q__1.i = work[i__4].i;
+		    work[i__3].r = q__1.r, work[i__3].i = q__1.i;
+		    i__3 = j;
+		    i__4 = j;
+		    i__5 = i__ + j * a_dim1;
+		    r__3 = ((r__1 = a[i__5].r, dabs(r__1)) + (r__2 = r_imag(&
+			    a[i__ + j * a_dim1]), dabs(r__2))) * s[i__];
+		    q__1.r = work[i__4].r + r__3, q__1.i = work[i__4].i;
+		    work[i__3].r = q__1.r, work[i__3].i = q__1.i;
+		}
+	    }
+	}
+/*       avg = s^T beta / n */
+	avg = 0.f;
+	i__1 = *n;
+	for (i__ = 1; i__ <= i__1; ++i__) {
+	    i__2 = i__;
+	    i__3 = i__;
+	    q__2.r = s[i__2] * work[i__3].r, q__2.i = s[i__2] * work[i__3].i;
+	    q__1.r = avg + q__2.r, q__1.i = q__2.i;
+	    avg = q__1.r;
+	}
+	avg /= *n;
+	std = 0.f;
+	i__1 = *n << 1;
+	for (i__ = *n + 1; i__ <= i__1; ++i__) {
+	    i__2 = i__;
+	    i__3 = i__ - *n;
+	    i__4 = i__ - *n;
+	    q__2.r = s[i__3] * work[i__4].r, q__2.i = s[i__3] * work[i__4].i;
+	    q__1.r = q__2.r - avg, q__1.i = q__2.i;
+	    work[i__2].r = q__1.r, work[i__2].i = q__1.i;
+	}
+	classq_(n, &work[*n + 1], &c__1, &scale, &sumsq);
+	std = scale * sqrt(sumsq / *n);
+	if (std < tol * avg) {
+	    goto L999;
+	}
+	i__1 = *n;
+	for (i__ = 1; i__ <= i__1; ++i__) {
+	    i__2 = i__ + i__ * a_dim1;
+	    t = (r__1 = a[i__2].r, dabs(r__1)) + (r__2 = r_imag(&a[i__ + i__ *
+		     a_dim1]), dabs(r__2));
+	    si = s[i__];
+	    c2 = (*n - 1) * t;
+	    i__2 = *n - 2;
+	    i__3 = i__;
+	    r__1 = t * si;
+	    q__2.r = work[i__3].r - r__1, q__2.i = work[i__3].i;
+	    d__1 = (doublereal) i__2;
+	    q__1.r = d__1 * q__2.r, q__1.i = d__1 * q__2.i;
+	    c1 = q__1.r;
+	    r__1 = -(t * si) * si;
+	    i__2 = i__;
+	    d__1 = 2.;
+	    q__4.r = d__1 * work[i__2].r, q__4.i = d__1 * work[i__2].i;
+	    q__3.r = si * q__4.r, q__3.i = si * q__4.i;
+	    q__2.r = r__1 + q__3.r, q__2.i = q__3.i;
+	    r__2 = *n * avg;
+	    q__1.r = q__2.r - r__2, q__1.i = q__2.i;
+	    c0 = q__1.r;
+	    d__ = c1 * c1 - c0 * 4 * c2;
+	    if (d__ <= 0.f) {
+		*info = -1;
+		return 0;
+	    }
+	    si = c0 * -2 / (c1 + sqrt(d__));
+	    d__ = si - s[i__];
+	    u = 0.f;
+	    if (up) {
+		i__2 = i__;
+		for (j = 1; j <= i__2; ++j) {
+		    i__3 = j + i__ * a_dim1;
+		    t = (r__1 = a[i__3].r, dabs(r__1)) + (r__2 = r_imag(&a[j 
+			    + i__ * a_dim1]), dabs(r__2));
+		    u += s[j] * t;
+		    i__3 = j;
+		    i__4 = j;
+		    r__1 = d__ * t;
+		    q__1.r = work[i__4].r + r__1, q__1.i = work[i__4].i;
+		    work[i__3].r = q__1.r, work[i__3].i = q__1.i;
+		}
+		i__2 = *n;
+		for (j = i__ + 1; j <= i__2; ++j) {
+		    i__3 = i__ + j * a_dim1;
+		    t = (r__1 = a[i__3].r, dabs(r__1)) + (r__2 = r_imag(&a[
+			    i__ + j * a_dim1]), dabs(r__2));
+		    u += s[j] * t;
+		    i__3 = j;
+		    i__4 = j;
+		    r__1 = d__ * t;
+		    q__1.r = work[i__4].r + r__1, q__1.i = work[i__4].i;
+		    work[i__3].r = q__1.r, work[i__3].i = q__1.i;
+		}
+	    } else {
+		i__2 = i__;
+		for (j = 1; j <= i__2; ++j) {
+		    i__3 = i__ + j * a_dim1;
+		    t = (r__1 = a[i__3].r, dabs(r__1)) + (r__2 = r_imag(&a[
+			    i__ + j * a_dim1]), dabs(r__2));
+		    u += s[j] * t;
+		    i__3 = j;
+		    i__4 = j;
+		    r__1 = d__ * t;
+		    q__1.r = work[i__4].r + r__1, q__1.i = work[i__4].i;
+		    work[i__3].r = q__1.r, work[i__3].i = q__1.i;
+		}
+		i__2 = *n;
+		for (j = i__ + 1; j <= i__2; ++j) {
+		    i__3 = j + i__ * a_dim1;
+		    t = (r__1 = a[i__3].r, dabs(r__1)) + (r__2 = r_imag(&a[j 
+			    + i__ * a_dim1]), dabs(r__2));
+		    u += s[j] * t;
+		    i__3 = j;
+		    i__4 = j;
+		    r__1 = d__ * t;
+		    q__1.r = work[i__4].r + r__1, q__1.i = work[i__4].i;
+		    work[i__3].r = q__1.r, work[i__3].i = q__1.i;
+		}
+	    }
+	    i__2 = i__;
+	    q__4.r = u + work[i__2].r, q__4.i = work[i__2].i;
+	    q__3.r = d__ * q__4.r, q__3.i = d__ * q__4.i;
+	    d__1 = (doublereal) (*n);
+	    q__2.r = q__3.r / d__1, q__2.i = q__3.i / d__1;
+	    q__1.r = avg + q__2.r, q__1.i = q__2.i;
+	    avg = q__1.r;
+	    s[i__] = si;
+	}
+    }
+L999:
+    smlnum = slamch_("SAFEMIN");
+    bignum = 1.f / smlnum;
+    smin = bignum;
+    smax = 0.f;
+    t = 1.f / sqrt(avg);
+    base = slamch_("B");
+    u = 1.f / log(base);
+    i__1 = *n;
+    for (i__ = 1; i__ <= i__1; ++i__) {
+	i__2 = (integer) (u * log(s[i__] * t));
+	s[i__] = pow_ri(&base, &i__2);
+/* Computing MIN */
+	r__1 = smin, r__2 = s[i__];
+	smin = dmin(r__1,r__2);
+/* Computing MAX */
+	r__1 = smax, r__2 = s[i__];
+	smax = dmax(r__1,r__2);
+    }
+    *scond = dmax(smin,smlnum) / dmin(smax,bignum);
+
+    return 0;
+} /* csyequb_ */