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-rw-r--r--smooth.c368
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+/*
+ chronyd/chronyc - Programs for keeping computer clocks accurate.
+
+ **********************************************************************
+ * Copyright (C) Miroslav Lichvar 2015
+ *
+ * This program is free software; you can redistribute it and/or modify
+ * it under the terms of version 2 of the GNU General Public License as
+ * published by the Free Software Foundation.
+ *
+ * This program is distributed in the hope that it will be useful, but
+ * WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ * General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License along
+ * with this program; if not, write to the Free Software Foundation, Inc.,
+ * 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
+ *
+ **********************************************************************
+
+ =======================================================================
+
+ Routines implementing time smoothing.
+
+ */
+
+#include "config.h"
+
+#include "sysincl.h"
+
+#include "conf.h"
+#include "local.h"
+#include "logging.h"
+#include "reference.h"
+#include "smooth.h"
+#include "util.h"
+
+/*
+ Time smoothing determines an offset that needs to be applied to the cooked
+ time to make it smooth for external observers. Observed offset and frequency
+ change slowly and there are no discontinuities. This can be used on an NTP
+ server to make it easier for the clients to track the time and keep their
+ clocks close together even when large offset or frequency corrections are
+ applied to the server's clock (e.g. after being offline for longer time).
+
+ Accumulated offset and frequency are smoothed out in three stages. In the
+ first stage, the frequency is changed at a constant rate (wander) up to a
+ maximum, in the second stage the frequency stays at the maximum for as long
+ as needed and in the third stage the frequency is brought back to zero.
+
+ |
+ max_freq +-------/--------\-------------
+ | /| |\
+ freq | / | | \
+ | / | | \
+ | / | | \
+ 0 +--/----+--------+----\--------
+ | / | | | time
+ |/ | | |
+
+ stage 1 2 3
+
+ Integral of this function is the smoothed out offset. It's a continuous
+ piecewise polynomial with two quadratic parts and one linear.
+*/
+
+struct stage {
+ double wander;
+ double length;
+};
+
+#define NUM_STAGES 3
+
+static struct stage stages[NUM_STAGES];
+
+/* Enabled/disabled smoothing */
+static int enabled;
+
+/* Enabled/disabled mode where only leap seconds are smoothed out and normal
+ offset/frequency changes are ignored */
+static int leap_only_mode;
+
+/* Maximum skew/max_wander ratio to start updating offset and frequency */
+#define UNLOCK_SKEW_WANDER_RATIO 10000
+
+static int locked;
+
+/* Maximum wander and frequency offset */
+static double max_wander;
+static double max_freq;
+
+/* Frequency offset, time offset and the time of the last smoothing update */
+static double smooth_freq;
+static double smooth_offset;
+static struct timespec last_update;
+
+
+static void
+get_smoothing(struct timespec *now, double *poffset, double *pfreq,
+ double *pwander)
+{
+ double elapsed, length, offset, freq, wander;
+ int i;
+
+ elapsed = UTI_DiffTimespecsToDouble(now, &last_update);
+
+ offset = smooth_offset;
+ freq = smooth_freq;
+ wander = 0.0;
+
+ for (i = 0; i < NUM_STAGES; i++) {
+ if (elapsed <= 0.0)
+ break;
+
+ length = stages[i].length;
+ if (length >= elapsed)
+ length = elapsed;
+
+ wander = stages[i].wander;
+ offset -= length * (2.0 * freq + wander * length) / 2.0;
+ freq += wander * length;
+ elapsed -= length;
+ }
+
+ if (elapsed > 0.0) {
+ wander = 0.0;
+ offset -= elapsed * freq;
+ }
+
+ *poffset = offset;
+ *pfreq = freq;
+ if (pwander)
+ *pwander = wander;
+}
+
+static void
+update_stages(void)
+{
+ double s1, s2, s, l1, l2, l3, lc, f, f2, l1t[2], l3t[2], err[2];
+ int i, dir;
+
+ /* Prepare the three stages so that the integral of the frequency offset
+ is equal to the offset that should be smoothed out */
+
+ s1 = smooth_offset / max_wander;
+ s2 = SQUARE(smooth_freq) / (2.0 * SQUARE(max_wander));
+
+ /* Calculate the lengths of the 1st and 3rd stage assuming there is no
+ frequency limit. The direction of the 1st stage is selected so that
+ the lengths will not be negative. With extremely small offsets both
+ directions may give a negative length due to numerical errors, so select
+ the one which gives a smaller error. */
+
+ for (i = 0, dir = -1; i <= 1; i++, dir += 2) {
+ err[i] = 0.0;
+ s = dir * s1 + s2;
+
+ if (s < 0.0) {
+ err[i] += -s;
+ s = 0.0;
+ }
+
+ l3t[i] = sqrt(s);
+ l1t[i] = l3t[i] - dir * smooth_freq / max_wander;
+
+ if (l1t[i] < 0.0) {
+ err[i] += l1t[i] * l1t[i];
+ l1t[i] = 0.0;
+ }
+ }
+
+ if (err[0] < err[1]) {
+ l1 = l1t[0];
+ l3 = l3t[0];
+ dir = -1;
+ } else {
+ l1 = l1t[1];
+ l3 = l3t[1];
+ dir = 1;
+ }
+
+ l2 = 0.0;
+
+ /* If the limit was reached, shorten 1st+3rd stages and set a 2nd stage */
+ f = dir * smooth_freq + l1 * max_wander - max_freq;
+ if (f > 0.0) {
+ lc = f / max_wander;
+
+ /* No 1st stage if the frequency is already above the maximum */
+ if (lc > l1) {
+ lc = l1;
+ f2 = dir * smooth_freq;
+ } else {
+ f2 = max_freq;
+ }
+
+ l2 = lc * (2.0 + f / f2);
+ l1 -= lc;
+ l3 -= lc;
+ }
+
+ stages[0].wander = dir * max_wander;
+ stages[0].length = l1;
+ stages[1].wander = 0.0;
+ stages[1].length = l2;
+ stages[2].wander = -dir * max_wander;
+ stages[2].length = l3;
+
+ for (i = 0; i < NUM_STAGES; i++) {
+ DEBUG_LOG("Smooth stage %d wander %e length %f",
+ i + 1, stages[i].wander, stages[i].length);
+ }
+}
+
+static void
+update_smoothing(struct timespec *now, double offset, double freq)
+{
+ /* Don't accept offset/frequency until the clock has stabilized */
+ if (locked) {
+ if (REF_GetSkew() / max_wander < UNLOCK_SKEW_WANDER_RATIO || leap_only_mode)
+ SMT_Activate(now);
+ return;
+ }
+
+ get_smoothing(now, &smooth_offset, &smooth_freq, NULL);
+ smooth_offset += offset;
+ smooth_freq = (smooth_freq - freq) / (1.0 - freq);
+ last_update = *now;
+
+ update_stages();
+
+ DEBUG_LOG("Smooth offset %e freq %e", smooth_offset, smooth_freq);
+}
+
+static void
+handle_slew(struct timespec *raw, struct timespec *cooked, double dfreq,
+ double doffset, LCL_ChangeType change_type, void *anything)
+{
+ double delta;
+
+ if (change_type == LCL_ChangeAdjust) {
+ if (leap_only_mode)
+ update_smoothing(cooked, 0.0, 0.0);
+ else
+ update_smoothing(cooked, doffset, dfreq);
+ }
+
+ if (!UTI_IsZeroTimespec(&last_update))
+ UTI_AdjustTimespec(&last_update, cooked, &last_update, &delta, dfreq, doffset);
+}
+
+void SMT_Initialise(void)
+{
+ CNF_GetSmooth(&max_freq, &max_wander, &leap_only_mode);
+ if (max_freq <= 0.0 || max_wander <= 0.0) {
+ enabled = 0;
+ return;
+ }
+
+ enabled = 1;
+ locked = 1;
+
+ /* Convert from ppm */
+ max_freq *= 1e-6;
+ max_wander *= 1e-6;
+
+ UTI_ZeroTimespec(&last_update);
+
+ LCL_AddParameterChangeHandler(handle_slew, NULL);
+}
+
+void SMT_Finalise(void)
+{
+ if (!enabled)
+ return;
+
+ LCL_RemoveParameterChangeHandler(handle_slew, NULL);
+}
+
+int SMT_IsEnabled(void)
+{
+ return enabled;
+}
+
+double
+SMT_GetOffset(struct timespec *now)
+{
+ double offset, freq;
+
+ if (!enabled)
+ return 0.0;
+
+ get_smoothing(now, &offset, &freq, NULL);
+
+ return offset;
+}
+
+void
+SMT_Activate(struct timespec *now)
+{
+ if (!enabled || !locked)
+ return;
+
+ LOG(LOGS_INFO, "Time smoothing activated%s", leap_only_mode ?
+ " (leap seconds only)" : "");
+ locked = 0;
+ last_update = *now;
+}
+
+void
+SMT_Reset(struct timespec *now)
+{
+ int i;
+
+ if (!enabled)
+ return;
+
+ smooth_offset = 0.0;
+ smooth_freq = 0.0;
+ last_update = *now;
+
+ for (i = 0; i < NUM_STAGES; i++)
+ stages[i].wander = stages[i].length = 0.0;
+}
+
+void
+SMT_Leap(struct timespec *now, int leap)
+{
+ /* When the leap-only mode is disabled, the leap second will be accumulated
+ in handle_slew() as a normal offset */
+ if (!enabled || !leap_only_mode)
+ return;
+
+ update_smoothing(now, leap, 0.0);
+}
+
+int
+SMT_GetSmoothingReport(RPT_SmoothingReport *report, struct timespec *now)
+{
+ double length, elapsed;
+ int i;
+
+ if (!enabled)
+ return 0;
+
+ report->active = !locked;
+ report->leap_only = leap_only_mode;
+
+ get_smoothing(now, &report->offset, &report->freq_ppm, &report->wander_ppm);
+
+ /* Convert to ppm and negate (positive values mean faster/speeding up) */
+ report->freq_ppm *= -1.0e6;
+ report->wander_ppm *= -1.0e6;
+
+ elapsed = UTI_DiffTimespecsToDouble(now, &last_update);
+ if (!locked && elapsed >= 0.0) {
+ for (i = 0, length = 0.0; i < NUM_STAGES; i++)
+ length += stages[i].length;
+ report->last_update_ago = elapsed;
+ report->remaining_time = elapsed < length ? length - elapsed : 0.0;
+ } else {
+ report->last_update_ago = 0.0;
+ report->remaining_time = 0.0;
+ }
+
+ return 1;
+}
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