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+/*-
+ * Copyright (c) 1985, 1993
+ * The Regents of the University of California. All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ * 4. Neither the name of the University nor the names of its contributors
+ * may be used to endorse or promote products derived from this software
+ * without specific prior written permission.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ */
+
+#ifndef lint
+#if 0
+static char sccsid[] = "@(#)networkdelta.c 8.1 (Berkeley) 6/6/93";
+#endif
+static const char rcsid[] =
+ "$FreeBSD$";
+#endif /* not lint */
+
+#include "globals.h"
+
+static long median(float, float *, long *, long *, unsigned int);
+
+/*
+ * Compute a corrected date.
+ * Compute the median of the reasonable differences. First compute
+ * the median of all authorized differences, and then compute the
+ * median of all differences that are reasonably close to the first
+ * median.
+ *
+ * This differs from the original BSD implementation, which looked for
+ * the largest group of machines with essentially the same date.
+ * That assumed that machines with bad clocks would be uniformly
+ * distributed. Unfortunately, in real life networks, the distribution
+ * of machines is not uniform among models of machines, and the
+ * distribution of errors in clocks tends to be quite consistent
+ * for a given model. In other words, all model VI Supre Servres
+ * from GoFast Inc. tend to have about the same error.
+ * The original BSD implementation would chose the clock of the
+ * most common model, and discard all others.
+ *
+ * Therefore, get best we can do is to try to average over all
+ * of the machines in the network, while discarding "obviously"
+ * bad values.
+ */
+long
+networkdelta(void)
+{
+ struct hosttbl *htp;
+ long med;
+ long lodelta, hidelta;
+ long logood, higood;
+ long x[NHOSTS];
+ long *xp;
+ int numdelta;
+ float eps;
+
+ /*
+ * compute the median of the good values
+ */
+ med = 0;
+ numdelta = 1;
+ xp = &x[0];
+ *xp = 0; /* account for ourself */
+ for (htp = self.l_fwd; htp != &self; htp = htp->l_fwd) {
+ if (htp->good
+ && htp->noanswer == 0
+ && htp->delta != HOSTDOWN) {
+ med += htp->delta;
+ numdelta++;
+ *++xp = htp->delta;
+ }
+ }
+
+ /*
+ * If we are the only trusted time keeper, then do not change our
+ * clock. There may be another time keeping service active.
+ */
+ if (numdelta == 1)
+ return 0;
+
+ med /= numdelta;
+ eps = med - x[0];
+ if (trace)
+ fprintf(fd, "median of %d values starting at %ld is about ",
+ numdelta, med);
+ med = median(med, &eps, &x[0], xp+1, VALID_RANGE);
+
+ /*
+ * compute the median of all values near the good median
+ */
+ hidelta = med + GOOD_RANGE;
+ lodelta = med - GOOD_RANGE;
+ higood = med + VGOOD_RANGE;
+ logood = med - VGOOD_RANGE;
+ xp = &x[0];
+ htp = &self;
+ do {
+ if (htp->noanswer == 0
+ && htp->delta >= lodelta
+ && htp->delta <= hidelta
+ && (htp->good
+ || (htp->delta >= logood
+ && htp->delta <= higood))) {
+ *xp++ = htp->delta;
+ }
+ } while (&self != (htp = htp->l_fwd));
+
+ if (xp == &x[0]) {
+ if (trace)
+ fprintf(fd, "nothing close to median %ld\n", med);
+ return med;
+ }
+
+ if (xp == &x[1]) {
+ if (trace)
+ fprintf(fd, "only value near median is %ld\n", x[0]);
+ return x[0];
+ }
+
+ if (trace)
+ fprintf(fd, "median of %td values starting at %ld is ",
+ xp-&x[0], med);
+ return median(med, &eps, &x[0], xp, 1);
+}
+
+
+/*
+ * compute the median of an array of signed integers, using the idea
+ * in <<Numerical Recipes>>.
+ */
+static long
+median(float a, float *eps_ptr, long *x, long *xlim, unsigned int gnuf)
+ /* float a; */ /* initial guess for the median */
+ /* float *eps_ptr; */ /* spacing near the median */
+ /* long *x, *xlim; */ /* the data */
+ /* unsigned int gnuf; */ /* good enough estimate */
+{
+ long *xptr;
+ float ap = LONG_MAX; /* bounds on the median */
+ float am = -LONG_MAX;
+ float aa;
+ int npts; /* # of points above & below guess */
+ float xp; /* closet point above the guess */
+ float xm; /* closet point below the guess */
+ float eps;
+ float dum, sum, sumx;
+ int pass;
+#define AMP 1.5 /* smoothing constants */
+#define AFAC 1.5
+
+ eps = *eps_ptr;
+ if (eps < 1.0) {
+ eps = -eps;
+ if (eps < 1.0)
+ eps = 1.0;
+ }
+
+ for (pass = 1; ; pass++) { /* loop over the data */
+ sum = 0.0;
+ sumx = 0.0;
+ npts = 0;
+ xp = LONG_MAX;
+ xm = -LONG_MAX;
+
+ for (xptr = x; xptr != xlim; xptr++) {
+ float xx = *xptr;
+
+ dum = xx - a;
+ if (dum != 0.0) { /* avoid dividing by 0 */
+ if (dum > 0.0) {
+ npts++;
+ if (xx < xp)
+ xp = xx;
+ } else {
+ npts--;
+ if (xx > xm)
+ xm = xx;
+ dum = -dum;
+ }
+ dum = 1.0/(eps + dum);
+ sum += dum;
+ sumx += xx * dum;
+ }
+ }
+
+ if (ap-am < gnuf || sum == 0) {
+ if (trace)
+ fprintf(fd,
+ "%ld in %d passes; early out balance=%d\n",
+ (long)a, pass, npts);
+ return a; /* guess was good enough */
+ }
+
+ aa = (sumx/sum-a)*AMP;
+ if (npts >= 2) { /* guess was too low */
+ am = a;
+ aa = xp + max(0.0, aa);
+ if (aa > ap)
+ aa = (a + ap)/2;
+
+ } else if (npts <= -2) { /* guess was two high */
+ ap = a;
+ aa = xm + min(0.0, aa);
+ if (aa < am)
+ aa = (a + am)/2;
+
+ } else {
+ break; /* got it */
+ }
+
+ if (a == aa) {
+ if (trace)
+ fprintf(fd,
+ "%ld in %d passes; force out balance=%d\n",
+ (long)a, pass, npts);
+ return a;
+ }
+ eps = AFAC*abs(aa - a);
+ *eps_ptr = eps;
+ a = aa;
+ }
+
+ if (((x - xlim) % 2) != 0) { /* even number of points? */
+ if (npts == 0) /* yes, return an average */
+ a = (xp+xm)/2;
+ else if (npts > 0)
+ a = (a+xp)/2;
+ else
+ a = (xm+a)/2;
+
+ } else if (npts != 0) { /* odd number of points */
+ if (npts > 0)
+ a = xp;
+ else
+ a = xm;
+ }
+
+ if (trace)
+ fprintf(fd, "%ld in %d passes\n", (long)a, pass);
+ return a;
+}
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