[] add metering mode to CLI

1 files changed, 356 insertions, 0 deletions

diff --git a/contrib/libs/clapack/dlag2.c b/contrib/libs/clapack/dlag2.c
new file mode 100644
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+++ b/contrib/libs/clapack/dlag2.c
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+/* dlag2.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 dlag2_(doublereal *a, integer *lda, doublereal *b, 
+	integer *ldb, doublereal *safmin, doublereal *scale1, doublereal *
+	scale2, doublereal *wr1, doublereal *wr2, doublereal *wi)
+{
+    /* System generated locals */
+    integer a_dim1, a_offset, b_dim1, b_offset;
+    doublereal d__1, d__2, d__3, d__4, d__5, d__6;
+
+    /* Builtin functions */
+    double sqrt(doublereal), d_sign(doublereal *, doublereal *);
+
+    /* Local variables */
+    doublereal r__, c1, c2, c3, c4, c5, s1, s2, a11, a12, a21, a22, b11, b12, 
+	    b22, pp, qq, ss, as11, as12, as22, sum, abi22, diff, bmin, wbig, 
+	    wabs, wdet, binv11, binv22, discr, anorm, bnorm, bsize, shift, 
+	    rtmin, rtmax, wsize, ascale, bscale, wscale, safmax, wsmall;
+
+
+/*  -- LAPACK auxiliary routine (version 3.2) -- */
+/*     Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */
+/*     November 2006 */
+
+/*     .. Scalar Arguments .. */
+/*     .. */
+/*     .. Array Arguments .. */
+/*     .. */
+
+/*  Purpose */
+/*  ======= */
+
+/*  DLAG2 computes the eigenvalues of a 2 x 2 generalized eigenvalue */
+/*  problem  A - w B, with scaling as necessary to avoid over-/underflow. */
+
+/*  The scaling factor "s" results in a modified eigenvalue equation */
+
+/*      s A - w B */
+
+/*  where  s  is a non-negative scaling factor chosen so that  w,  w B, */
+/*  and  s A  do not overflow and, if possible, do not underflow, either. */
+
+/*  Arguments */
+/*  ========= */
+
+/*  A       (input) DOUBLE PRECISION array, dimension (LDA, 2) */
+/*          On entry, the 2 x 2 matrix A.  It is assumed that its 1-norm */
+/*          is less than 1/SAFMIN.  Entries less than */
+/*          sqrt(SAFMIN)*norm(A) are subject to being treated as zero. */
+
+/*  LDA     (input) INTEGER */
+/*          The leading dimension of the array A.  LDA >= 2. */
+
+/*  B       (input) DOUBLE PRECISION array, dimension (LDB, 2) */
+/*          On entry, the 2 x 2 upper triangular matrix B.  It is */
+/*          assumed that the one-norm of B is less than 1/SAFMIN.  The */
+/*          diagonals should be at least sqrt(SAFMIN) times the largest */
+/*          element of B (in absolute value); if a diagonal is smaller */
+/*          than that, then  +/- sqrt(SAFMIN) will be used instead of */
+/*          that diagonal. */
+
+/*  LDB     (input) INTEGER */
+/*          The leading dimension of the array B.  LDB >= 2. */
+
+/*  SAFMIN  (input) DOUBLE PRECISION */
+/*          The smallest positive number s.t. 1/SAFMIN does not */
+/*          overflow.  (This should always be DLAMCH('S') -- it is an */
+/*          argument in order to avoid having to call DLAMCH frequently.) */
+
+/*  SCALE1  (output) DOUBLE PRECISION */
+/*          A scaling factor used to avoid over-/underflow in the */
+/*          eigenvalue equation which defines the first eigenvalue.  If */
+/*          the eigenvalues are complex, then the eigenvalues are */
+/*          ( WR1  +/-  WI i ) / SCALE1  (which may lie outside the */
+/*          exponent range of the machine), SCALE1=SCALE2, and SCALE1 */
+/*          will always be positive.  If the eigenvalues are real, then */
+/*          the first (real) eigenvalue is  WR1 / SCALE1 , but this may */
+/*          overflow or underflow, and in fact, SCALE1 may be zero or */
+/*          less than the underflow threshhold if the exact eigenvalue */
+/*          is sufficiently large. */
+
+/*  SCALE2  (output) DOUBLE PRECISION */
+/*          A scaling factor used to avoid over-/underflow in the */
+/*          eigenvalue equation which defines the second eigenvalue.  If */
+/*          the eigenvalues are complex, then SCALE2=SCALE1.  If the */
+/*          eigenvalues are real, then the second (real) eigenvalue is */
+/*          WR2 / SCALE2 , but this may overflow or underflow, and in */
+/*          fact, SCALE2 may be zero or less than the underflow */
+/*          threshhold if the exact eigenvalue is sufficiently large. */
+
+/*  WR1     (output) DOUBLE PRECISION */
+/*          If the eigenvalue is real, then WR1 is SCALE1 times the */
+/*          eigenvalue closest to the (2,2) element of A B**(-1).  If the */
+/*          eigenvalue is complex, then WR1=WR2 is SCALE1 times the real */
+/*          part of the eigenvalues. */
+
+/*  WR2     (output) DOUBLE PRECISION */
+/*          If the eigenvalue is real, then WR2 is SCALE2 times the */
+/*          other eigenvalue.  If the eigenvalue is complex, then */
+/*          WR1=WR2 is SCALE1 times the real part of the eigenvalues. */
+
+/*  WI      (output) DOUBLE PRECISION */
+/*          If the eigenvalue is real, then WI is zero.  If the */
+/*          eigenvalue is complex, then WI is SCALE1 times the imaginary */
+/*          part of the eigenvalues.  WI will always be non-negative. */
+
+/*  ===================================================================== */
+
+/*     .. Parameters .. */
+/*     .. */
+/*     .. Local Scalars .. */
+/*     .. */
+/*     .. Intrinsic Functions .. */
+/*     .. */
+/*     .. Executable Statements .. */
+
+    /* Parameter adjustments */
+    a_dim1 = *lda;
+    a_offset = 1 + a_dim1;
+    a -= a_offset;
+    b_dim1 = *ldb;
+    b_offset = 1 + b_dim1;
+    b -= b_offset;
+
+    /* Function Body */
+    rtmin = sqrt(*safmin);
+    rtmax = 1. / rtmin;
+    safmax = 1. / *safmin;
+
+/*     Scale A */
+
+/* Computing MAX */
+    d__5 = (d__1 = a[a_dim1 + 1], abs(d__1)) + (d__2 = a[a_dim1 + 2], abs(
+	    d__2)), d__6 = (d__3 = a[(a_dim1 << 1) + 1], abs(d__3)) + (d__4 = 
+	    a[(a_dim1 << 1) + 2], abs(d__4)), d__5 = max(d__5,d__6);
+    anorm = max(d__5,*safmin);
+    ascale = 1. / anorm;
+    a11 = ascale * a[a_dim1 + 1];
+    a21 = ascale * a[a_dim1 + 2];
+    a12 = ascale * a[(a_dim1 << 1) + 1];
+    a22 = ascale * a[(a_dim1 << 1) + 2];
+
+/*     Perturb B if necessary to insure non-singularity */
+
+    b11 = b[b_dim1 + 1];
+    b12 = b[(b_dim1 << 1) + 1];
+    b22 = b[(b_dim1 << 1) + 2];
+/* Computing MAX */
+    d__1 = abs(b11), d__2 = abs(b12), d__1 = max(d__1,d__2), d__2 = abs(b22), 
+	    d__1 = max(d__1,d__2);
+    bmin = rtmin * max(d__1,rtmin);
+    if (abs(b11) < bmin) {
+	b11 = d_sign(&bmin, &b11);
+    }
+    if (abs(b22) < bmin) {
+	b22 = d_sign(&bmin, &b22);
+    }
+
+/*     Scale B */
+
+/* Computing MAX */
+    d__1 = abs(b11), d__2 = abs(b12) + abs(b22), d__1 = max(d__1,d__2);
+    bnorm = max(d__1,*safmin);
+/* Computing MAX */
+    d__1 = abs(b11), d__2 = abs(b22);
+    bsize = max(d__1,d__2);
+    bscale = 1. / bsize;
+    b11 *= bscale;
+    b12 *= bscale;
+    b22 *= bscale;
+
+/*     Compute larger eigenvalue by method described by C. van Loan */
+
+/*     ( AS is A shifted by -SHIFT*B ) */
+
+    binv11 = 1. / b11;
+    binv22 = 1. / b22;
+    s1 = a11 * binv11;
+    s2 = a22 * binv22;
+    if (abs(s1) <= abs(s2)) {
+	as12 = a12 - s1 * b12;
+	as22 = a22 - s1 * b22;
+	ss = a21 * (binv11 * binv22);
+	abi22 = as22 * binv22 - ss * b12;
+	pp = abi22 * .5;
+	shift = s1;
+    } else {
+	as12 = a12 - s2 * b12;
+	as11 = a11 - s2 * b11;
+	ss = a21 * (binv11 * binv22);
+	abi22 = -ss * b12;
+	pp = (as11 * binv11 + abi22) * .5;
+	shift = s2;
+    }
+    qq = ss * as12;
+    if ((d__1 = pp * rtmin, abs(d__1)) >= 1.) {
+/* Computing 2nd power */
+	d__1 = rtmin * pp;
+	discr = d__1 * d__1 + qq * *safmin;
+	r__ = sqrt((abs(discr))) * rtmax;
+    } else {
+/* Computing 2nd power */
+	d__1 = pp;
+	if (d__1 * d__1 + abs(qq) <= *safmin) {
+/* Computing 2nd power */
+	    d__1 = rtmax * pp;
+	    discr = d__1 * d__1 + qq * safmax;
+	    r__ = sqrt((abs(discr))) * rtmin;
+	} else {
+/* Computing 2nd power */
+	    d__1 = pp;
+	    discr = d__1 * d__1 + qq;
+	    r__ = sqrt((abs(discr)));
+	}
+    }
+
+/*     Note: the test of R in the following IF is to cover the case when */
+/*           DISCR is small and negative and is flushed to zero during */
+/*           the calculation of R.  On machines which have a consistent */
+/*           flush-to-zero threshhold and handle numbers above that */
+/*           threshhold correctly, it would not be necessary. */
+
+    if (discr >= 0. || r__ == 0.) {
+	sum = pp + d_sign(&r__, &pp);
+	diff = pp - d_sign(&r__, &pp);
+	wbig = shift + sum;
+
+/*        Compute smaller eigenvalue */
+
+	wsmall = shift + diff;
+/* Computing MAX */
+	d__1 = abs(wsmall);
+	if (abs(wbig) * .5 > max(d__1,*safmin)) {
+	    wdet = (a11 * a22 - a12 * a21) * (binv11 * binv22);
+	    wsmall = wdet / wbig;
+	}
+
+/*        Choose (real) eigenvalue closest to 2,2 element of A*B**(-1) */
+/*        for WR1. */
+
+	if (pp > abi22) {
+	    *wr1 = min(wbig,wsmall);
+	    *wr2 = max(wbig,wsmall);
+	} else {
+	    *wr1 = max(wbig,wsmall);
+	    *wr2 = min(wbig,wsmall);
+	}
+	*wi = 0.;
+    } else {
+
+/*        Complex eigenvalues */
+
+	*wr1 = shift + pp;
+	*wr2 = *wr1;
+	*wi = r__;
+    }
+
+/*     Further scaling to avoid underflow and overflow in computing */
+/*     SCALE1 and overflow in computing w*B. */
+
+/*     This scale factor (WSCALE) is bounded from above using C1 and C2, */
+/*     and from below using C3 and C4. */
+/*        C1 implements the condition  s A  must never overflow. */
+/*        C2 implements the condition  w B  must never overflow. */
+/*        C3, with C2, */
+/*           implement the condition that s A - w B must never overflow. */
+/*        C4 implements the condition  s    should not underflow. */
+/*        C5 implements the condition  max(s,|w|) should be at least 2. */
+
+    c1 = bsize * (*safmin * max(1.,ascale));
+    c2 = *safmin * max(1.,bnorm);
+    c3 = bsize * *safmin;
+    if (ascale <= 1. && bsize <= 1.) {
+/* Computing MIN */
+	d__1 = 1., d__2 = ascale / *safmin * bsize;
+	c4 = min(d__1,d__2);
+    } else {
+	c4 = 1.;
+    }
+    if (ascale <= 1. || bsize <= 1.) {
+/* Computing MIN */
+	d__1 = 1., d__2 = ascale * bsize;
+	c5 = min(d__1,d__2);
+    } else {
+	c5 = 1.;
+    }
+
+/*     Scale first eigenvalue */
+
+    wabs = abs(*wr1) + abs(*wi);
+/* Computing MAX */
+/* Computing MIN */
+    d__3 = c4, d__4 = max(wabs,c5) * .5;
+    d__1 = max(*safmin,c1), d__2 = (wabs * c2 + c3) * 1.0000100000000001, 
+	    d__1 = max(d__1,d__2), d__2 = min(d__3,d__4);
+    wsize = max(d__1,d__2);
+    if (wsize != 1.) {
+	wscale = 1. / wsize;
+	if (wsize > 1.) {
+	    *scale1 = max(ascale,bsize) * wscale * min(ascale,bsize);
+	} else {
+	    *scale1 = min(ascale,bsize) * wscale * max(ascale,bsize);
+	}
+	*wr1 *= wscale;
+	if (*wi != 0.) {
+	    *wi *= wscale;
+	    *wr2 = *wr1;
+	    *scale2 = *scale1;
+	}
+    } else {
+	*scale1 = ascale * bsize;
+	*scale2 = *scale1;
+    }
+
+/*     Scale second eigenvalue (if real) */
+
+    if (*wi == 0.) {
+/* Computing MAX */
+/* Computing MIN */
+/* Computing MAX */
+	d__5 = abs(*wr2);
+	d__3 = c4, d__4 = max(d__5,c5) * .5;
+	d__1 = max(*safmin,c1), d__2 = (abs(*wr2) * c2 + c3) * 
+		1.0000100000000001, d__1 = max(d__1,d__2), d__2 = min(d__3,
+		d__4);
+	wsize = max(d__1,d__2);
+	if (wsize != 1.) {
+	    wscale = 1. / wsize;
+	    if (wsize > 1.) {
+		*scale2 = max(ascale,bsize) * wscale * min(ascale,bsize);
+	    } else {
+		*scale2 = min(ascale,bsize) * wscale * max(ascale,bsize);
+	    }
+	    *wr2 *= wscale;
+	} else {
+	    *scale2 = ascale * bsize;
+	}
+    }
+
+/*     End of DLAG2 */
+
+    return 0;
+} /* dlag2_ */