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authorEnji Cooper <ngie@FreeBSD.org>2026-02-15 01:57:42 +0000
committerEnji Cooper <ngie@FreeBSD.org>2026-02-15 02:12:44 +0000
commite8dbf2b6df199526a660f81de07d17925cfd8518 (patch)
treecd0c09449bea5df56ef67059e797737d70587070 /kernel/t_time_arith.c
parent56a7ce8416d181a2060d7a428aed9c3c6a431e6d (diff)
Diffstat (limited to 'kernel/t_time_arith.c')
-rw-r--r--kernel/t_time_arith.c1224
1 files changed, 1224 insertions, 0 deletions
diff --git a/kernel/t_time_arith.c b/kernel/t_time_arith.c
new file mode 100644
index 000000000000..0f738bfbe19a
--- /dev/null
+++ b/kernel/t_time_arith.c
@@ -0,0 +1,1224 @@
+/* $NetBSD: t_time_arith.c,v 1.7 2025/10/06 12:05:04 riastradh Exp $ */
+
+/*-
+ * Copyright (c) 2024-2025 The NetBSD Foundation, Inc.
+ * 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.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE NETBSD FOUNDATION, INC. 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 FOUNDATION 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.
+ */
+
+#include <sys/cdefs.h>
+__RCSID("$NetBSD: t_time_arith.c,v 1.7 2025/10/06 12:05:04 riastradh Exp $");
+
+#include <sys/timearith.h>
+
+#include <atf-c.h>
+#include <errno.h>
+#include <limits.h>
+#include <setjmp.h>
+#include <signal.h>
+#include <stdbool.h>
+#include <stdint.h>
+#include <stdio.h>
+#include <stdlib.h>
+#include <string.h>
+#include <time.h>
+#include <unistd.h>
+#include <util.h>
+
+#include "h_macros.h"
+
+enum { HZ = 100 };
+
+int hz = HZ;
+int tick = 1000000/HZ;
+
+static sig_atomic_t jmp_en;
+static int jmp_sig;
+static jmp_buf jmp;
+
+static void
+handle_signal(int signo)
+{
+ const int errno_save = errno;
+ char buf[32];
+
+ snprintf_ss(buf, sizeof(buf), "signal %d\n", signo);
+ (void)write(STDERR_FILENO, buf, strlen(buf));
+
+ errno = errno_save;
+
+ if (jmp_en) {
+ jmp_sig = signo;
+ jmp_en = 0;
+ longjmp(jmp, 1);
+ } else {
+ raise_default_signal(signo);
+ }
+}
+
+const struct itimer_transition {
+ struct itimerspec it_time;
+ struct timespec it_now;
+ struct timespec it_next;
+ int it_overruns;
+ const char *it_xfail;
+} itimer_transitions[] = {
+ /*
+ * Fired more than one interval early -- treat clock as wound
+ * backwards, not counting overruns. Advance to the next
+ * integral multiple of it_interval starting from it_value.
+ */
+ [0] = {{.it_value = {3,0}, .it_interval = {1,0}},
+ {0,1}, {1,0}, 0,
+ NULL},
+ [1] = {{.it_value = {3,0}, .it_interval = {1,0}},
+ {0,500000000}, {1,0}, 0,
+ NULL},
+ [2] = {{.it_value = {3,0}, .it_interval = {1,0}},
+ {0,999999999}, {1,0}, 0,
+ NULL},
+ [3] = {{.it_value = {3,0}, .it_interval = {1,0}},
+ {1,0}, {2,0}, 0,
+ NULL},
+ [4] = {{.it_value = {3,0}, .it_interval = {1,0}},
+ {1,1}, {2,0}, 0,
+ NULL},
+ [5] = {{.it_value = {3,0}, .it_interval = {1,0}},
+ {1,500000000}, {2,0}, 0,
+ NULL},
+ [6] = {{.it_value = {3,0}, .it_interval = {1,0}},
+ {1,999999999}, {2,0}, 0,
+ NULL},
+
+ /*
+ * Fired exactly one interval early. Treat this too as clock
+ * wound backwards.
+ */
+ [7] = {{.it_value = {3,0}, .it_interval = {1,0}},
+ {2,0}, {3,0}, 0,
+ NULL},
+
+ /*
+ * Fired less than one interval early -- callouts and real-time
+ * clock might not be perfectly synced, counted as zero
+ * overruns. Advance by one interval from the scheduled time.
+ */
+ [8] = {{.it_value = {3,0}, .it_interval = {1,0}},
+ {2,1}, {3,0}, 0,
+ NULL},
+ [9] = {{.it_value = {3,0}, .it_interval = {1,0}},
+ {2,500000000}, {3,0}, 0,
+ NULL},
+ [10] = {{.it_value = {3,0}, .it_interval = {1,0}},
+ {2,999999999}, {3,0}, 0,
+ NULL},
+
+ /*
+ * Fired exactly on time. Advance by one interval.
+ */
+ [11] = {{.it_value = {3,0}, .it_interval = {1,0}},
+ {3,0}, {4,0}, 0, NULL},
+
+ /*
+ * Fired late by less than one interval -- callouts and
+ * real-time clock might not be prefectly synced, counted as
+ * zero overruns. Advance by one interval from the scheduled
+ * time (even if it's very close to a full interval).
+ */
+ [12] = {{.it_value = {3,0}, .it_interval = {1,0}},
+ {3,1}, {4,0}, 0, NULL},
+ [14] = {{.it_value = {3,0}, .it_interval = {1,0}},
+ {3,500000000}, {4,0}, 0, NULL},
+ [15] = {{.it_value = {3,0}, .it_interval = {1,0}},
+ {3,999999999}, {4,0}, 0, NULL},
+
+ /*
+ * Fired late by exactly one interval -- treat it as overrun.
+ */
+ [16] = {{.it_value = {3,0}, .it_interval = {1,0}},
+ {4,0}, {5,0}, 1,
+ NULL},
+
+ /*
+ * Fired late by more than one interval but less than two --
+ * overrun.
+ */
+ [17] = {{.it_value = {3,0}, .it_interval = {1,0}},
+ {4,1}, {5,0}, 1,
+ NULL},
+ [18] = {{.it_value = {3,0}, .it_interval = {1,0}},
+ {4,500000000}, {5,0}, 1,
+ NULL},
+ [19] = {{.it_value = {3,0}, .it_interval = {1,0}},
+ {4,999999999}, {5,0}, 1,
+ NULL},
+
+ /*
+ * Fired late by exactly two intervals -- two overruns.
+ */
+ [20] = {{.it_value = {3,0}, .it_interval = {1,0}},
+ {5,0}, {6,0}, 2,
+ NULL},
+
+ /*
+ * Fired late by more intervals plus slop, up to 32.
+ *
+ * XXX Define DELAYTIMER_MAX so we can write it in terms of
+ * that.
+ */
+ [21] = {{.it_value = {3,0}, .it_interval = {1,0}},
+ {13,123456789}, {14,0}, 10,
+ NULL},
+ [22] = {{.it_value = {3,0}, .it_interval = {1,0}},
+ {34,999999999}, {35,0}, 31,
+ NULL},
+
+ /*
+ * Fired late by roughly INT_MAX intervals.
+ */
+ [23] = {{.it_value = {3,0}, .it_interval = {1,0}},
+ {(time_t)3 + INT_MAX - 1, 0},
+ {(time_t)3 + INT_MAX, 0},
+ INT_MAX - 1,
+ NULL},
+ [24] = {{.it_value = {3,0}, .it_interval = {1,0}},
+ {(time_t)3 + INT_MAX, 0},
+ {(time_t)3 + INT_MAX + 1, 0},
+ INT_MAX,
+ NULL},
+ [25] = {{.it_value = {3,0}, .it_interval = {1,0}},
+ {(time_t)3 + INT_MAX + 1, 0},
+ {(time_t)3 + INT_MAX + 2, 0},
+ INT_MAX,
+ NULL},
+
+ /* (2^63 - 1) ns */
+ [26] = {{.it_value = {3,0}, .it_interval = {9223372036,854775807}},
+ {3,1}, {9223372039,854775807}, 0, NULL},
+ /* 2^63 ns */
+ [27] = {{.it_value = {3,0}, .it_interval = {9223372036,854775808}},
+ {3,1}, {9223372039,854775808}, 0, NULL},
+ /* (2^63 + 1) ns */
+ [28] = {{.it_value = {3,0}, .it_interval = {9223372036,854775809}},
+ {3,1}, {9223372039,854775809}, 0, NULL},
+
+ /*
+ * Overflows -- we should (XXX but currently don't) reject
+ * intervals of at least 2^64 nanoseconds up front, since this
+ * is more time than it is reasonable to wait (more than 584
+ * years).
+ */
+
+ /* (2^64 - 1) ns */
+ [29] = {{.it_value = {3,0}, .it_interval = {18446744073,709551615}},
+ {2,999999999}, {0,0}, 0,
+ NULL},
+ /* 2^64 ns */
+ [30] = {{.it_value = {3,0}, .it_interval = {18446744073,709551616}},
+ {2,999999999}, {0,0}, 0,
+ NULL},
+ /* (2^64 + 1) ns */
+ [31] = {{.it_value = {3,0}, .it_interval = {18446744073,709551617}},
+ {2,999999999}, {0,0}, 0,
+ NULL},
+
+ /* (2^63 - 1) us */
+ [32] = {{.it_value = {3,0}, .it_interval = {9223372036854,775807}},
+ {2,999999999}, {0,0}, 0,
+ NULL},
+ /* 2^63 us */
+ [33] = {{.it_value = {3,0}, .it_interval = {9223372036854,775808}},
+ {2,999999999}, {0,0}, 0,
+ NULL},
+ /* (2^63 + 1) us */
+ [34] = {{.it_value = {3,0}, .it_interval = {9223372036854,775809}},
+ {2,999999999}, {0,0}, 0,
+ NULL},
+
+ /* (2^64 - 1) us */
+ [35] = {{.it_value = {3,0}, .it_interval = {18446744073709,551615}},
+ {2,999999999}, {0,0}, 0,
+ NULL},
+ /* 2^64 us */
+ [36] = {{.it_value = {3,0}, .it_interval = {18446744073709,551616}},
+ {2,999999999}, {0,0}, 0,
+ NULL},
+ /* (2^64 + 1) us */
+ [37] = {{.it_value = {3,0}, .it_interval = {18446744073709,551617}},
+ {2,999999999}, {0,0}, 0,
+ NULL},
+
+ /* (2^63 - 1) ms */
+ [38] = {{.it_value = {3,0}, .it_interval = {9223372036854775,807}},
+ {2,999999999}, {0,0}, 0,
+ NULL},
+ /* 2^63 ms */
+ [39] = {{.it_value = {3,0}, .it_interval = {9223372036854775,808}},
+ {2,999999999}, {0,0}, 0,
+ NULL},
+ /* (2^63 + 1) ms */
+ [40] = {{.it_value = {3,0}, .it_interval = {9223372036854775,809}},
+ {2,999999999}, {0,0}, 0,
+ NULL},
+
+ /* (2^64 - 1) ms */
+ [41] = {{.it_value = {3,0}, .it_interval = {18446744073709551,615}},
+ {2,999999999}, {0,0}, 0,
+ NULL},
+ /* 2^64 ms */
+ [42] = {{.it_value = {3,0}, .it_interval = {18446744073709551,616}},
+ {2,999999999}, {0,0}, 0,
+ NULL},
+ /* (2^64 + 1) ms */
+ [43] = {{.it_value = {3,0}, .it_interval = {18446744073709551,617}},
+ {2,999999999}, {0,0}, 0,
+ NULL},
+
+ /* invalid intervals */
+ [44] = {{.it_value = {3,0}, .it_interval = {-1,0}},
+ {3,1}, {0,0}, 0, NULL},
+ [45] = {{.it_value = {3,0}, .it_interval = {0,-1}},
+ {3,1}, {0,0}, 0, NULL},
+ [46] = {{.it_value = {3,0}, .it_interval = {0,1000000000}},
+ {3,1}, {0,0}, 0, NULL},
+
+ /*
+ * Overflow nanosecond arithmetic. The magic interval number
+ * here is ceiling(INT64_MAX/2) nanoseconds. The interval
+ * start value will be rounded to an integral number of ticks,
+ * so rather than write exactly `4611686018,427387905', just
+ * round up the `now' value to the next second. This forces an
+ * overrun _and_ triggers int64_t arithmetic overflow.
+ */
+ [47] = {{.it_value = {0,1},
+ .it_interval = {4611686018,427387904}},
+ /* XXX needless overflow */
+ {4611686019,0}, {0,0}, 1,
+ NULL},
+
+ /* interval ~ 1/4 * (2^63 - 1) ns, now ~ 3/4 * (2^63 - 1) ns */
+ [48] = {{.it_value = {0,1},
+ .it_interval = {2305843009,213693952}},
+ /* XXX needless overflow */
+ {6917529028,0}, {0,0}, 3,
+ NULL},
+ [49] = {{.it_value = {6917529027,0},
+ .it_interval = {2305843009,213693952}},
+ {6917529028,0}, {9223372036,213693952}, 0, NULL},
+ [50] = {{.it_value = {6917529029,0},
+ .it_interval = {2305843009,213693952}},
+ {6917529028,0}, {6917529029,0}, 0,
+ NULL},
+
+ /* interval ~ 1/2 * (2^63 - 1) ns, now ~ 3/4 * (2^63 - 1) ns */
+ [51] = {{.it_value = {0,1},
+ .it_interval = {4611686018,427387904}},
+ /* XXX needless overflow */
+ {6917529028,0}, {0,0}, 1,
+ NULL},
+ [52] = {{.it_value = {2305843009,213693951}, /* ~1/4 * (2^63 - 1) */
+ .it_interval = {4611686018,427387904}},
+ /* XXX needless overflow */
+ {6917529028,0}, {0,0}, 1,
+ NULL},
+ [54] = {{.it_value = {6917529027,0},
+ .it_interval = {4611686018,427387904}},
+ {6917529028,0}, {11529215045,427387904}, 0, NULL},
+ [55] = {{.it_value = {6917529029,0},
+ .it_interval = {4611686018,427387904}},
+ {6917529028,0}, {6917529029,0}, 0,
+ NULL},
+
+ [56] = {{.it_value = {INT64_MAX - 1,0}, .it_interval = {1,0}},
+ /* XXX needless overflow */
+ {INT64_MAX - 2,999999999}, {0,0}, 0,
+ NULL},
+ [57] = {{.it_value = {INT64_MAX - 1,0}, .it_interval = {1,0}},
+ {INT64_MAX - 1,0}, {INT64_MAX,0}, 0, NULL},
+ [58] = {{.it_value = {INT64_MAX - 1,0}, .it_interval = {1,0}},
+ {INT64_MAX - 1,1}, {INT64_MAX,0}, 0, NULL},
+ [59] = {{.it_value = {INT64_MAX - 1,0}, .it_interval = {1,0}},
+ {INT64_MAX - 1,999999999}, {INT64_MAX,0}, 0, NULL},
+ [60] = {{.it_value = {INT64_MAX - 1,0}, .it_interval = {1,0}},
+ {INT64_MAX,0}, {0,0}, 0,
+ NULL},
+ [61] = {{.it_value = {INT64_MAX - 1,0}, .it_interval = {1,0}},
+ {INT64_MAX,1}, {0,0}, 0,
+ NULL},
+ [62] = {{.it_value = {INT64_MAX - 1,0}, .it_interval = {1,0}},
+ {INT64_MAX,999999999}, {0,0}, 0,
+ NULL},
+
+ [63] = {{.it_value = {INT64_MAX,0}, .it_interval = {1,0}},
+ {INT64_MAX - 1,1}, {0,0}, 0,
+ NULL},
+ [64] = {{.it_value = {INT64_MAX,0}, .it_interval = {1,0}},
+ {INT64_MAX - 1,999999999}, {0,0}, 0,
+ NULL},
+ [65] = {{.it_value = {INT64_MAX,0}, .it_interval = {1,0}},
+ {INT64_MAX,0}, {0,0}, 0,
+ NULL},
+ [66] = {{.it_value = {INT64_MAX,0}, .it_interval = {1,0}},
+ {INT64_MAX,1}, {0,0}, 0,
+ NULL},
+ [67] = {{.it_value = {INT64_MAX,0}, .it_interval = {1,0}},
+ {INT64_MAX,999999999}, {0,0}, 0,
+ NULL},
+};
+
+ATF_TC(itimer_transitions);
+ATF_TC_HEAD(itimer_transitions, tc)
+{
+ atf_tc_set_md_var(tc, "descr",
+ "Tests interval timer transitions");
+}
+ATF_TC_BODY(itimer_transitions, tc)
+{
+ volatile unsigned i;
+
+ REQUIRE_LIBC(signal(SIGFPE, handle_signal), SIG_ERR);
+ REQUIRE_LIBC(signal(SIGABRT, handle_signal), SIG_ERR);
+
+ for (i = 0; i < __arraycount(itimer_transitions); i++) {
+ struct itimer_transition it = itimer_transitions[i];
+ struct timespec next;
+ int overruns;
+ volatile bool aborted = true;
+ volatile bool expect_abort = false;
+
+ fprintf(stderr, "case %u\n", i);
+
+ if (it.it_xfail)
+ atf_tc_expect_fail("%s", it.it_xfail);
+
+ if (itimespecfix(&it.it_time.it_value) != 0 ||
+ itimespecfix(&it.it_time.it_interval) != 0) {
+ fprintf(stderr, "rejected by itimerspecfix\n");
+ expect_abort = true;
+ }
+
+ if (setjmp(jmp) == 0) {
+ jmp_en = 1;
+ itimer_transition(&it.it_time, &it.it_now,
+ &next, &overruns);
+ jmp_en = 0;
+ aborted = false;
+ }
+ ATF_CHECK(!jmp_en);
+ jmp_en = 0; /* paranoia */
+ if (expect_abort) {
+ fprintf(stderr, "expected abort\n");
+ ATF_CHECK_MSG(aborted,
+ "[%u] missing invariant assertion", i);
+ ATF_CHECK_MSG(jmp_sig == SIGABRT,
+ "[%u] missing invariant assertion", i);
+ } else {
+ ATF_CHECK_MSG(!aborted, "[%u] raised signal %d: %s", i,
+ jmp_sig, strsignal(jmp_sig));
+ }
+
+ ATF_CHECK_MSG((next.tv_sec == it.it_next.tv_sec &&
+ next.tv_nsec == it.it_next.tv_nsec),
+ "[%u] periodic intervals of %lld.%09d from %lld.%09d"
+ " last expired at %lld.%09d:"
+ " next expiry at %lld.%09d, expected %lld.%09d", i,
+ (long long)it.it_time.it_interval.tv_sec,
+ (int)it.it_time.it_interval.tv_nsec,
+ (long long)it.it_time.it_value.tv_sec,
+ (int)it.it_time.it_value.tv_nsec,
+ (long long)it.it_now.tv_sec, (int)it.it_now.tv_nsec,
+ (long long)next.tv_sec, (int)next.tv_nsec,
+ (long long)it.it_next.tv_sec, (int)it.it_next.tv_nsec);
+ ATF_CHECK_EQ_MSG(overruns, it.it_overruns,
+ "[%u] periodic intervals of %lld.%09d from %lld.%09d"
+ " last expired at %lld.%09d:"
+ " overruns %d, expected %d", i,
+ (long long)it.it_time.it_interval.tv_sec,
+ (int)it.it_time.it_interval.tv_nsec,
+ (long long)it.it_time.it_value.tv_sec,
+ (int)it.it_time.it_value.tv_nsec,
+ (long long)it.it_now.tv_sec, (int)it.it_now.tv_nsec,
+ overruns, it.it_overruns);
+
+ if (it.it_xfail)
+ atf_tc_expect_pass();
+ }
+}
+
+/*
+ * { 0, if t <= 0;
+ * tstohz(t sec) @ f Hz = { ceil(t/(1/f)), if that's below INT_MAX;
+ * { INT_MAX, otherwise.
+ */
+
+#define TSTOHZ_ROUND_XFAIL \
+ "PR kern/59691: tstohz(9) rounding errors"
+
+const struct tstohz_case {
+ int ts_hz;
+ struct timespec ts_ts;
+ int ts_ticks;
+ const char *ts_xfail;
+} tstohz_cases[] = {
+ /*
+ * hz = 10
+ */
+
+ /* negative inputs yield 0 ticks */
+ [0] = {10, {.tv_sec = -1, .tv_nsec = 0}, 0, NULL},
+ [1] = {10, {.tv_sec = -1, .tv_nsec = 999999999}, 0, NULL},
+
+ /* zero input yields 0 ticks */
+ [2] = {10, {.tv_sec = 0, .tv_nsec = 0}, 0, NULL},
+
+ /*
+ * Nonzero input always yields >=2 ticks, because the time from
+ * now until the next tick may be arbitrarily short, and we
+ * need to wait one full tick, so we have to wait for two
+ * ticks.
+ */
+ [3] = {10, {.tv_sec = 0, .tv_nsec = 1}, 2, NULL},
+ [4] = {10, {.tv_sec = 0, .tv_nsec = 2}, 2, NULL},
+ [5] = {10, {.tv_sec = 0, .tv_nsec = 99999999}, 2, NULL},
+ [6] = {10, {.tv_sec = 0, .tv_nsec = 100000000}, 2, NULL},
+ [7] = {10, {.tv_sec = 0, .tv_nsec = 100000001}, 3, NULL},
+ [8] = {10, {.tv_sec = 0, .tv_nsec = 100000002}, 3, NULL},
+ [9] = {10, {.tv_sec = 0, .tv_nsec = 199999999}, 3, NULL},
+ [10] = {10, {.tv_sec = 0, .tv_nsec = 200000000}, 3, NULL},
+ [11] = {10, {.tv_sec = 0, .tv_nsec = 200000001}, 4, NULL},
+ [12] = {10, {.tv_sec = 0, .tv_nsec = 200000002}, 4, NULL},
+ [13] = {10, {.tv_sec = 0, .tv_nsec = 999999999}, 11, NULL},
+ [14] = {10, {.tv_sec = 1, .tv_nsec = 0}, 11, NULL},
+ [15] = {10, {.tv_sec = 1, .tv_nsec = 1}, 12, NULL},
+ [16] = {10, {.tv_sec = 1, .tv_nsec = 2}, 12, NULL},
+ /* .tv_sec ~ INT32_MAX/1000000 */
+ [17] = {10, {.tv_sec = 2147, .tv_nsec = 999999999}, 21481, NULL},
+ [18] = {10, {.tv_sec = 2148, .tv_nsec = 0}, 21481, NULL},
+ [19] = {10, {.tv_sec = 2148, .tv_nsec = 1}, 21482, NULL},
+ [20] = {10, {.tv_sec = 2148, .tv_nsec = 2}, 21482, NULL},
+ /* .tv_sec ~ INT32_MAX/hz */
+ [21] = {10, {.tv_sec = 214748364, .tv_nsec = 499999999}, 2147483646,
+ NULL},
+ /* saturate at INT_MAX = 2^31 - 1 ticks */
+ [22] = {10, {.tv_sec = 214748364, .tv_nsec = 500000000}, 2147483646,
+ NULL},
+ [23] = {10, {.tv_sec = 214748364, .tv_nsec = 500000001}, 2147483647,
+ NULL},
+ [24] = {10, {.tv_sec = 214748364, .tv_nsec = 500000002}, 2147483647,
+ NULL},
+ [25] = {10, {.tv_sec = 214748364, .tv_nsec = 599999999}, 2147483647,
+ NULL},
+ [26] = {10, {.tv_sec = 214748364, .tv_nsec = 600000000}, 2147483647,
+ NULL},
+ [27] = {10, {.tv_sec = 214748364, .tv_nsec = 999999999}, 2147483647,
+ NULL},
+ [28] = {10, {.tv_sec = 214748365, .tv_nsec = 0}, 2147483647,
+ NULL},
+ [29] = {10, {.tv_sec = 214748365, .tv_nsec = 1}, 2147483647,
+ NULL},
+ [30] = {10, {.tv_sec = 214748365, .tv_nsec = 2}, 2147483647,
+ NULL},
+ [31] = {10, {.tv_sec = (time_t)INT_MAX + 1, .tv_nsec = 123456789},
+ INT_MAX, NULL},
+ /* .tv_sec ~ INT64_MAX/1000000, overflows to INT_MAX ticks */
+ [32] = {10, {.tv_sec = 9223372036854, .tv_nsec = 999999999},
+ INT_MAX, NULL},
+ [33] = {10, {.tv_sec = 9223372036855, .tv_nsec = 0},
+ INT_MAX, NULL},
+ [34] = {10, {.tv_sec = 9223372036855, .tv_nsec = 1},
+ INT_MAX, NULL},
+ [35] = {10, {.tv_sec = 9223372036855, .tv_nsec = 2},
+ INT_MAX, NULL},
+ /* .tv_sec ~ INT64_MAX/hz, overflows to INT_MAX ticks */
+ [36] = {10, {.tv_sec = 922337203685477580, .tv_nsec = 999999999},
+ INT_MAX, NULL},
+ [37] = {10, {.tv_sec = 922337203685477581, .tv_nsec = 0},
+ INT_MAX, NULL},
+ [38] = {10, {.tv_sec = 922337203685477581, .tv_nsec = 1},
+ INT_MAX, NULL},
+ [39] = {10, {.tv_sec = 922337203685477581, .tv_nsec = 2},
+ INT_MAX, NULL},
+ [40] = {10, {.tv_sec = (time_t)INT_MAX + 1, .tv_nsec = 123456789},
+ INT_MAX, NULL},
+
+ /*
+ * hz = 100
+ */
+
+ [41] = {100, {.tv_sec = -1, .tv_nsec = 0}, 0, NULL},
+ [42] = {100, {.tv_sec = -1, .tv_nsec = 999999999}, 0, NULL},
+ [43] = {100, {.tv_sec = 0, .tv_nsec = 0}, 0, NULL},
+ [44] = {100, {.tv_sec = 0, .tv_nsec = 1}, 2, NULL},
+ [45] = {100, {.tv_sec = 0, .tv_nsec = 2}, 2, NULL},
+ [46] = {100, {.tv_sec = 0, .tv_nsec = 9999999}, 2, NULL},
+ [47] = {100, {.tv_sec = 0, .tv_nsec = 10000000}, 2, NULL},
+ [48] = {100, {.tv_sec = 0, .tv_nsec = 10000001}, 3, NULL},
+ [49] = {100, {.tv_sec = 0, .tv_nsec = 10000002}, 3, NULL},
+ [50] = {100, {.tv_sec = 0, .tv_nsec = 19999999}, 3, NULL},
+ [51] = {100, {.tv_sec = 0, .tv_nsec = 20000000}, 3, NULL},
+ [52] = {100, {.tv_sec = 0, .tv_nsec = 20000001}, 4, NULL},
+ [53] = {100, {.tv_sec = 0, .tv_nsec = 20000002}, 4, NULL},
+ [54] = {100, {.tv_sec = 0, .tv_nsec = 99999999}, 11, NULL},
+ [55] = {100, {.tv_sec = 0, .tv_nsec = 100000000}, 11, NULL},
+ [56] = {100, {.tv_sec = 0, .tv_nsec = 100000001}, 12, NULL},
+ [57] = {100, {.tv_sec = 0, .tv_nsec = 100000002}, 12, NULL},
+ [58] = {100, {.tv_sec = 0, .tv_nsec = 999999999}, 101, NULL},
+ [59] = {100, {.tv_sec = 1, .tv_nsec = 0}, 101, NULL},
+ [60] = {100, {.tv_sec = 1, .tv_nsec = 1}, 102, NULL},
+ [61] = {100, {.tv_sec = 1, .tv_nsec = 2}, 102, NULL},
+ /* .tv_sec ~ INT32_MAX/1000000 */
+ [62] = {100, {.tv_sec = 2147, .tv_nsec = 999999999}, 214801, NULL},
+ [63] = {100, {.tv_sec = 2148, .tv_nsec = 0}, 214801, NULL},
+ [64] = {100, {.tv_sec = 2148, .tv_nsec = 1}, 214802, NULL},
+ [65] = {100, {.tv_sec = 2148, .tv_nsec = 2}, 214802, NULL},
+ /* .tv_sec ~ INT32_MAX/hz */
+ [66] = {100, {.tv_sec = 21474836, .tv_nsec = 439999999}, 2147483645,
+ NULL},
+ [67] = {100, {.tv_sec = 21474836, .tv_nsec = 440000000}, 2147483645,
+ NULL},
+ [68] = {100, {.tv_sec = 21474836, .tv_nsec = 440000001}, 2147483646,
+ NULL},
+ [69] = {100, {.tv_sec = 21474836, .tv_nsec = 440000002}, 2147483646,
+ NULL},
+ [70] = {100, {.tv_sec = 21474836, .tv_nsec = 449999999}, 2147483646,
+ NULL},
+ [71] = {100, {.tv_sec = 21474836, .tv_nsec = 450000000}, 2147483646,
+ NULL},
+ /* saturate at INT_MAX = 2^31 - 1 ticks */
+ [72] = {100, {.tv_sec = 21474836, .tv_nsec = 450000001}, 2147483647,
+ NULL},
+ [73] = {100, {.tv_sec = 21474836, .tv_nsec = 450000002}, 2147483647,
+ NULL},
+ [74] = {100, {.tv_sec = 21474836, .tv_nsec = 459999999}, 2147483647,
+ NULL},
+ [75] = {100, {.tv_sec = 21474836, .tv_nsec = 460000000}, 2147483647,
+ NULL},
+ [76] = {100, {.tv_sec = 21474836, .tv_nsec = 460000001}, 2147483647,
+ NULL},
+ [77] = {100, {.tv_sec = 21474836, .tv_nsec = 460000002}, 2147483647,
+ NULL},
+ [78] = {100, {.tv_sec = 21474836, .tv_nsec = 999999999}, 2147483647,
+ NULL},
+ [79] = {100, {.tv_sec = 21474837, .tv_nsec = 0}, 2147483647,
+ NULL},
+ [80] = {100, {.tv_sec = 21474837, .tv_nsec = 1}, 2147483647,
+ NULL},
+ [81] = {100, {.tv_sec = 21474837, .tv_nsec = 2}, 2147483647,
+ NULL},
+ [82] = {100, {.tv_sec = 21474837, .tv_nsec = 2}, 2147483647,
+ NULL},
+ /* .tv_sec ~ INT64_MAX/1000000 */
+ [83] = {100, {.tv_sec = 9223372036854, .tv_nsec = 999999999},
+ INT_MAX, NULL},
+ [84] = {100, {.tv_sec = 9223372036855, .tv_nsec = 0},
+ INT_MAX, NULL},
+ [85] = {100, {.tv_sec = 9223372036855, .tv_nsec = 1},
+ INT_MAX, NULL},
+ [86] = {100, {.tv_sec = 9223372036855, .tv_nsec = 2},
+ INT_MAX, NULL},
+ /* .tv_sec ~ INT64_MAX/hz, overflows to INT_MAX ticks */
+ [87] = {100, {.tv_sec = 92233720368547758, .tv_nsec = 999999999},
+ INT_MAX, NULL},
+ [88] = {100, {.tv_sec = 92233720368547758, .tv_nsec = 0},
+ INT_MAX, NULL},
+ [89] = {100, {.tv_sec = 92233720368547758, .tv_nsec = 1},
+ INT_MAX, NULL},
+ [90] = {100, {.tv_sec = 92233720368547758, .tv_nsec = 2},
+ INT_MAX, NULL},
+ [91] = {100, {.tv_sec = (time_t)INT_MAX + 1, .tv_nsec = 123456789},
+ INT_MAX, NULL},
+
+ /*
+ * hz = 1000
+ */
+
+ [92] = {1000, {.tv_sec = -1, .tv_nsec = 0}, 0, NULL},
+ [93] = {1000, {.tv_sec = -1, .tv_nsec = 999999999}, 0, NULL},
+ [94] = {1000, {.tv_sec = 0, .tv_nsec = 0}, 0, NULL},
+ [95] = {1000, {.tv_sec = 0, .tv_nsec = 1}, 2, NULL},
+ [96] = {1000, {.tv_sec = 0, .tv_nsec = 2}, 2, NULL},
+ [97] = {1000, {.tv_sec = 0, .tv_nsec = 999999}, 2, NULL},
+ [98] = {1000, {.tv_sec = 0, .tv_nsec = 1000000}, 2, NULL},
+ [99] = {1000, {.tv_sec = 0, .tv_nsec = 1000001}, 3, NULL},
+ [100] = {1000, {.tv_sec = 0, .tv_nsec = 1000002}, 3, NULL},
+ [101] = {1000, {.tv_sec = 0, .tv_nsec = 1999999}, 3, NULL},
+ [102] = {1000, {.tv_sec = 0, .tv_nsec = 2000000}, 3, NULL},
+ [103] = {1000, {.tv_sec = 0, .tv_nsec = 2000001}, 4, NULL},
+ [104] = {1000, {.tv_sec = 0, .tv_nsec = 2000002}, 4, NULL},
+ [105] = {1000, {.tv_sec = 0, .tv_nsec = 999999999}, 1001, NULL},
+ [106] = {1000, {.tv_sec = 1, .tv_nsec = 0}, 1001, NULL},
+ [107] = {1000, {.tv_sec = 1, .tv_nsec = 1}, 1002, NULL},
+ [108] = {1000, {.tv_sec = 1, .tv_nsec = 2}, 1002, NULL},
+ /* .tv_sec ~ INT_MAX/1000000 */
+ [109] = {1000, {.tv_sec = 2147, .tv_nsec = 999999999}, 2148001, NULL},
+ [110] = {1000, {.tv_sec = 2148, .tv_nsec = 0}, 2148001, NULL},
+ [111] = {1000, {.tv_sec = 2148, .tv_nsec = 1}, 2148002, NULL},
+ [112] = {1000, {.tv_sec = 2148, .tv_nsec = 2}, 2148002, NULL},
+ /* .tv_sec ~ INT_MAX/hz */
+ [113] = {1000, {.tv_sec = 2147483, .tv_nsec = 643999999}, 2147483645,
+ NULL},
+ [114] = {1000, {.tv_sec = 2147483, .tv_nsec = 644000000}, 2147483645,
+ NULL},
+ [115] = {1000, {.tv_sec = 2147483, .tv_nsec = 644000001}, 2147483646,
+ NULL},
+ [116] = {1000, {.tv_sec = 2147483, .tv_nsec = 644000002}, 2147483646,
+ NULL},
+ [117] = {1000, {.tv_sec = 2147483, .tv_nsec = 644999999}, 2147483646,
+ NULL},
+ [118] = {1000, {.tv_sec = 2147483, .tv_nsec = 645000000}, 2147483646,
+ NULL},
+ /* saturate at INT_MAX = 2^31 - 1 ticks */
+ [119] = {1000, {.tv_sec = 2147483, .tv_nsec = 645000001}, 2147483647,
+ NULL},
+ [120] = {1000, {.tv_sec = 2147483, .tv_nsec = 645000002}, 2147483647,
+ NULL},
+ [121] = {1000, {.tv_sec = 2147483, .tv_nsec = 645999999}, 2147483647,
+ NULL},
+ [122] = {1000, {.tv_sec = 2147483, .tv_nsec = 646000000}, 2147483647,
+ NULL},
+ [123] = {1000, {.tv_sec = 2147483, .tv_nsec = 646000001}, 2147483647,
+ NULL},
+ [124] = {1000, {.tv_sec = 2147483, .tv_nsec = 646000002}, 2147483647,
+ NULL},
+ [125] = {1000, {.tv_sec = 2147483, .tv_nsec = 699999999}, 2147483647,
+ NULL},
+ [126] = {1000, {.tv_sec = 2147484, .tv_nsec = 0}, 2147483647,
+ NULL},
+ [127] = {1000, {.tv_sec = 2147484, .tv_nsec = 1}, 2147483647,
+ NULL},
+ [128] = {1000, {.tv_sec = 2147484, .tv_nsec = 2}, 2147483647,
+ NULL},
+ [129] = {1000, {.tv_sec = 2147484, .tv_nsec = 2}, 2147483647,
+ NULL},
+ /* .tv_sec ~ INT64_MAX/1000000, overflows to INT_MAX ticks */
+ [130] = {1000, {.tv_sec = 9223372036854, .tv_nsec = 999999999},
+ INT_MAX, NULL},
+ [131] = {1000, {.tv_sec = 9223372036855, .tv_nsec = 0},
+ INT_MAX, NULL},
+ [132] = {1000, {.tv_sec = 9223372036855, .tv_nsec = 1},
+ INT_MAX, NULL},
+ [133] = {1000, {.tv_sec = 9223372036855, .tv_nsec = 2},
+ INT_MAX, NULL},
+ /* .tv_sec ~ INT64_MAX/hz, overflows to INT_MAX ticks */
+ [134] = {1000, {.tv_sec = 92233720368547758, .tv_nsec = 999999999},
+ INT_MAX, NULL},
+ [135] = {1000, {.tv_sec = 92233720368547758, .tv_nsec = 0},
+ INT_MAX, NULL},
+ [136] = {1000, {.tv_sec = 92233720368547758, .tv_nsec = 1},
+ INT_MAX, NULL},
+ [137] = {1000, {.tv_sec = 92233720368547758, .tv_nsec = 2},
+ INT_MAX, NULL},
+ [138] = {1000, {.tv_sec = (time_t)INT_MAX + 1, .tv_nsec = 123456789},
+ INT_MAX, NULL},
+
+ /*
+ * hz = 8191, prime non-divisor of 10^k or 2^k
+ */
+
+ [139] = {8191, {.tv_sec = -1, .tv_nsec = 0}, 0, NULL},
+ [140] = {8191, {.tv_sec = -1, .tv_nsec = 999999999}, 0, NULL},
+ [141] = {8191, {.tv_sec = 0, .tv_nsec = 0}, 0, NULL},
+ [142] = {8191, {.tv_sec = 0, .tv_nsec = 1}, 2, NULL},
+ [143] = {8191, {.tv_sec = 0, .tv_nsec = 2}, 2, NULL},
+ [144] = {8191, {.tv_sec = 0, .tv_nsec = 122084}, 2,
+ TSTOHZ_ROUND_XFAIL},
+ [145] = {8191, {.tv_sec = 0, .tv_nsec = 122085}, 2,
+ TSTOHZ_ROUND_XFAIL},
+ [146] = {8191, {.tv_sec = 0, .tv_nsec = 122086}, 3, NULL},
+ [147] = {8191, {.tv_sec = 0, .tv_nsec = 244168}, 3,
+ TSTOHZ_ROUND_XFAIL},
+ [148] = {8191, {.tv_sec = 0, .tv_nsec = 244169}, 3,
+ TSTOHZ_ROUND_XFAIL},
+ [149] = {8191, {.tv_sec = 0, .tv_nsec = 244170}, 3,
+ TSTOHZ_ROUND_XFAIL},
+ [150] = {8191, {.tv_sec = 0, .tv_nsec = 244171}, 4, NULL},
+ [151] = {8191, {.tv_sec = 0, .tv_nsec = 244172}, 4, NULL},
+ [152] = {8191, {.tv_sec = 0, .tv_nsec = 999999999}, 8192, NULL},
+ [153] = {8191, {.tv_sec = 1, .tv_nsec = 0}, 8192, NULL},
+ [154] = {8191, {.tv_sec = 1, .tv_nsec = 1}, 8193, NULL},
+ [155] = {8191, {.tv_sec = 1, .tv_nsec = 2}, 8193, NULL},
+ /* .tv_sec ~ INT_MAX/1000000 */
+ [156] = {8191, {.tv_sec = 2147, .tv_nsec = 999999999}, 17594269, NULL},
+ [157] = {8191, {.tv_sec = 2148, .tv_nsec = 0}, 17594269, NULL},
+ [158] = {8191, {.tv_sec = 2148, .tv_nsec = 1}, 17594270, NULL},
+ [159] = {8191, {.tv_sec = 2148, .tv_nsec = 2}, 17594270, NULL},
+ /* .tv_sec ~ INT_MAX/hz */
+ [160] = {8191, {.tv_sec = 262176, .tv_nsec = 3540471}, 2147483646,
+ NULL},
+ [161] = {8191, {.tv_sec = 262176, .tv_nsec = 3540472}, 2147483647,
+ NULL},
+ [162] = {8191, {.tv_sec = 262176, .tv_nsec = 3540473}, 2147483647,
+ NULL},
+ /* saturate at INT_MAX = 2^31 - 1 ticks */
+ [163] = {8191, {.tv_sec = 262176, .tv_nsec = 3662556}, 2147483647,
+ NULL},
+ [164] = {8191, {.tv_sec = 262176, .tv_nsec = 3662557}, 2147483647,
+ NULL},
+ [165] = {8191, {.tv_sec = 262176, .tv_nsec = 3662558}, 2147483647,
+ NULL},
+ [166] = {8191, {.tv_sec = 262176, .tv_nsec = 999999999}, 2147483647,
+ NULL},
+ /* .tv_sec ~ INT64_MAX/1000000, overflows to INT_MAX ticks */
+ [167] = {8191, {.tv_sec = 9223372036854, .tv_nsec = 999999999},
+ INT_MAX, NULL},
+ [168] = {8191, {.tv_sec = 9223372036855, .tv_nsec = 0},
+ INT_MAX, NULL},
+ [169] = {8191, {.tv_sec = 9223372036855, .tv_nsec = 1},
+ INT_MAX, NULL},
+ [170] = {8191, {.tv_sec = 9223372036855, .tv_nsec = 2},
+ INT_MAX, NULL},
+ /* .tv_sec ~ INT64_MAX/hz, overflows to INT_MAX ticks */
+ [171] = {8191, {.tv_sec = 92233720368547758, .tv_nsec = 999999999},
+ INT_MAX, NULL},
+ [172] = {8191, {.tv_sec = 92233720368547758, .tv_nsec = 0},
+ INT_MAX, NULL},
+ [173] = {8191, {.tv_sec = 92233720368547758, .tv_nsec = 1},
+ INT_MAX, NULL},
+ [174] = {8191, {.tv_sec = 92233720368547758, .tv_nsec = 2},
+ INT_MAX, NULL},
+ [175] = {8191, {.tv_sec = (time_t)INT_MAX + 1, .tv_nsec = 123456789},
+ INT_MAX, NULL},
+};
+
+ATF_TC(tstohz);
+ATF_TC_HEAD(tstohz, tc)
+{
+ atf_tc_set_md_var(tc, "descr",
+ "Test tstohz(9)");
+}
+ATF_TC_BODY(tstohz, tc)
+{
+ size_t i;
+
+ for (i = 0; i < __arraycount(tstohz_cases); i++) {
+ const struct tstohz_case *ts = &tstohz_cases[i];
+ int ticks;
+
+ /* set system parameters */
+ hz = ts->ts_hz;
+ tick = 1000000/hz;
+
+ ticks = tstohz(&ts->ts_ts);
+ if (ts->ts_xfail)
+ atf_tc_expect_fail("%s", ts->ts_xfail);
+
+ /*
+ * Allow some slop of one part per thousand in the
+ * arithmetic, but ensure we round up, not down.
+ */
+ ATF_CHECK_MSG(((unsigned)(ticks - ts->ts_ticks) <=
+ (unsigned)ts->ts_ticks/1000),
+ "[%zu] tstohz(%lld.%09ld sec) @ %d Hz:"
+ " expected %d, got %d",
+ i,
+ (long long)ts->ts_ts.tv_sec,
+ (long)ts->ts_ts.tv_nsec,
+ ts->ts_hz,
+ ts->ts_ticks,
+ ticks);
+ if (ts->ts_xfail)
+ atf_tc_expect_pass();
+ }
+}
+
+/*
+ * { 0, if t <= 0;
+ * tvtohz(t sec) @ f Hz = { ceil(t/(1/f)), if that's below INT_MAX;
+ * { INT_MAX, otherwise.
+ */
+
+const struct tvtohz_case {
+ int tv_hz;
+ struct timeval tv_tv;
+ int tv_ticks;
+ const char *tv_xfail;
+} tvtohz_cases[] = {
+ /*
+ * hz = 10
+ */
+
+ /* negative inputs yield 0 ticks */
+ [0] = {10, {.tv_sec = -1, .tv_usec = 0}, 0, NULL},
+ [1] = {10, {.tv_sec = -1, .tv_usec = 999999}, 0, NULL},
+
+ /* zero input yields 0 ticks */
+ [2] = {10, {.tv_sec = 0, .tv_usec = 0}, 0, NULL},
+
+ /*
+ * Nonzero input always yields >=2 ticks, because the time from
+ * now until the next tick may be arbitrarily short, and we
+ * need to wait one full tick, so we have to wait for two
+ * ticks.
+ */
+ [3] = {10, {.tv_sec = 0, .tv_usec = 1}, 2, NULL},
+ [4] = {10, {.tv_sec = 0, .tv_usec = 2}, 2, NULL},
+ [5] = {10, {.tv_sec = 0, .tv_usec = 99999}, 2, NULL},
+ [6] = {10, {.tv_sec = 0, .tv_usec = 100000}, 2, NULL},
+ [7] = {10, {.tv_sec = 0, .tv_usec = 100001}, 3, NULL},
+ [8] = {10, {.tv_sec = 0, .tv_usec = 100002}, 3, NULL},
+ [9] = {10, {.tv_sec = 0, .tv_usec = 199999}, 3, NULL},
+ [10] = {10, {.tv_sec = 0, .tv_usec = 200000}, 3, NULL},
+ [11] = {10, {.tv_sec = 0, .tv_usec = 200001}, 4, NULL},
+ [12] = {10, {.tv_sec = 0, .tv_usec = 200002}, 4, NULL},
+ [13] = {10, {.tv_sec = 0, .tv_usec = 999999}, 11, NULL},
+ [14] = {10, {.tv_sec = 1, .tv_usec = 0}, 11, NULL},
+ [15] = {10, {.tv_sec = 1, .tv_usec = 1}, 12, NULL},
+ [16] = {10, {.tv_sec = 1, .tv_usec = 2}, 12, NULL},
+ /* .tv_sec ~ INT32_MAX/1000000 */
+ [17] = {10, {.tv_sec = 2147, .tv_usec = 999999}, 21481, NULL},
+ [18] = {10, {.tv_sec = 2148, .tv_usec = 0}, 21481, NULL},
+ [19] = {10, {.tv_sec = 2148, .tv_usec = 1}, 21482, NULL},
+ [20] = {10, {.tv_sec = 2148, .tv_usec = 2}, 21482, NULL},
+ /* .tv_sec ~ INT32_MAX/hz */
+ [21] = {10, {.tv_sec = 214748364, .tv_usec = 499999}, 2147483646,
+ NULL},
+ /* saturate at INT_MAX = 2^31 - 1 ticks */
+ [22] = {10, {.tv_sec = 214748364, .tv_usec = 500000}, 2147483646,
+ NULL},
+ [23] = {10, {.tv_sec = 214748364, .tv_usec = 500001}, 2147483647,
+ NULL},
+ [24] = {10, {.tv_sec = 214748364, .tv_usec = 500002}, 2147483647,
+ NULL},
+ [25] = {10, {.tv_sec = 214748364, .tv_usec = 599999}, 2147483647,
+ NULL},
+ [26] = {10, {.tv_sec = 214748364, .tv_usec = 600000}, 2147483647,
+ NULL},
+ [27] = {10, {.tv_sec = 214748364, .tv_usec = 999999}, 2147483647,
+ NULL},
+ [28] = {10, {.tv_sec = 214748365, .tv_usec = 0}, 2147483647,
+ NULL},
+ [29] = {10, {.tv_sec = 214748365, .tv_usec = 1}, 2147483647,
+ NULL},
+ [30] = {10, {.tv_sec = 214748365, .tv_usec = 2}, 2147483647,
+ NULL},
+ [31] = {10, {.tv_sec = (time_t)INT_MAX + 1, .tv_usec = 123456},
+ INT_MAX, NULL},
+ /* .tv_sec ~ INT64_MAX/1000000, overflows to INT_MAX ticks */
+ [32] = {10, {.tv_sec = 9223372036854, .tv_usec = 999999},
+ INT_MAX, NULL},
+ [33] = {10, {.tv_sec = 9223372036855, .tv_usec = 0},
+ INT_MAX, NULL},
+ [34] = {10, {.tv_sec = 9223372036855, .tv_usec = 1},
+ INT_MAX, NULL},
+ [35] = {10, {.tv_sec = 9223372036855, .tv_usec = 2},
+ INT_MAX, NULL},
+ /* .tv_sec ~ INT64_MAX/hz, overflows to INT_MAX ticks */
+ [36] = {10, {.tv_sec = 922337203685477580, .tv_usec = 999999},
+ INT_MAX, NULL},
+ [37] = {10, {.tv_sec = 922337203685477581, .tv_usec = 0},
+ INT_MAX, NULL},
+ [38] = {10, {.tv_sec = 922337203685477581, .tv_usec = 1},
+ INT_MAX, NULL},
+ [39] = {10, {.tv_sec = 922337203685477581, .tv_usec = 2},
+ INT_MAX, NULL},
+ [40] = {10, {.tv_sec = (time_t)INT_MAX + 1, .tv_usec = 123456},
+ INT_MAX, NULL},
+
+ /*
+ * hz = 100
+ */
+
+ [41] = {100, {.tv_sec = -1, .tv_usec = 0}, 0, NULL},
+ [42] = {100, {.tv_sec = -1, .tv_usec = 999999}, 0, NULL},
+ [43] = {100, {.tv_sec = 0, .tv_usec = 0}, 0, NULL},
+ [44] = {100, {.tv_sec = 0, .tv_usec = 1}, 2, NULL},
+ [45] = {100, {.tv_sec = 0, .tv_usec = 2}, 2, NULL},
+ [46] = {100, {.tv_sec = 0, .tv_usec = 9999}, 2, NULL},
+ [47] = {100, {.tv_sec = 0, .tv_usec = 10000}, 2, NULL},
+ [48] = {100, {.tv_sec = 0, .tv_usec = 10001}, 3, NULL},
+ [49] = {100, {.tv_sec = 0, .tv_usec = 10002}, 3, NULL},
+ [50] = {100, {.tv_sec = 0, .tv_usec = 19999}, 3, NULL},
+ [51] = {100, {.tv_sec = 0, .tv_usec = 20000}, 3, NULL},
+ [52] = {100, {.tv_sec = 0, .tv_usec = 20001}, 4, NULL},
+ [53] = {100, {.tv_sec = 0, .tv_usec = 20002}, 4, NULL},
+ [54] = {100, {.tv_sec = 0, .tv_usec = 99999}, 11, NULL},
+ [55] = {100, {.tv_sec = 0, .tv_usec = 100000}, 11, NULL},
+ [56] = {100, {.tv_sec = 0, .tv_usec = 100001}, 12, NULL},
+ [57] = {100, {.tv_sec = 0, .tv_usec = 100002}, 12, NULL},
+ [58] = {100, {.tv_sec = 0, .tv_usec = 999999}, 101, NULL},
+ [59] = {100, {.tv_sec = 1, .tv_usec = 0}, 101, NULL},
+ [60] = {100, {.tv_sec = 1, .tv_usec = 1}, 102, NULL},
+ [61] = {100, {.tv_sec = 1, .tv_usec = 2}, 102, NULL},
+ /* .tv_sec ~ INT32_MAX/1000000 */
+ [62] = {100, {.tv_sec = 2147, .tv_usec = 999999}, 214801, NULL},
+ [63] = {100, {.tv_sec = 2148, .tv_usec = 0}, 214801, NULL},
+ [64] = {100, {.tv_sec = 2148, .tv_usec = 1}, 214802, NULL},
+ [65] = {100, {.tv_sec = 2148, .tv_usec = 2}, 214802, NULL},
+ /* .tv_sec ~ INT32_MAX/hz */
+ [66] = {100, {.tv_sec = 21474836, .tv_usec = 439999}, 2147483645,
+ NULL},
+ [67] = {100, {.tv_sec = 21474836, .tv_usec = 440000}, 2147483645,
+ NULL},
+ [68] = {100, {.tv_sec = 21474836, .tv_usec = 440001}, 2147483646,
+ NULL},
+ [69] = {100, {.tv_sec = 21474836, .tv_usec = 440002}, 2147483646,
+ NULL},
+ [70] = {100, {.tv_sec = 21474836, .tv_usec = 449999}, 2147483646,
+ NULL},
+ [71] = {100, {.tv_sec = 21474836, .tv_usec = 450000}, 2147483646,
+ NULL},
+ /* saturate at INT_MAX = 2^31 - 1 ticks */
+ [72] = {100, {.tv_sec = 21474836, .tv_usec = 450001}, 2147483647,
+ NULL},
+ [73] = {100, {.tv_sec = 21474836, .tv_usec = 450002}, 2147483647,
+ NULL},
+ [74] = {100, {.tv_sec = 21474836, .tv_usec = 459999}, 2147483647,
+ NULL},
+ [75] = {100, {.tv_sec = 21474836, .tv_usec = 460000}, 2147483647,
+ NULL},
+ [76] = {100, {.tv_sec = 21474836, .tv_usec = 460001}, 2147483647,
+ NULL},
+ [77] = {100, {.tv_sec = 21474836, .tv_usec = 460002}, 2147483647,
+ NULL},
+ [78] = {100, {.tv_sec = 21474836, .tv_usec = 999999}, 2147483647,
+ NULL},
+ [79] = {100, {.tv_sec = 21474837, .tv_usec = 0}, 2147483647,
+ NULL},
+ [80] = {100, {.tv_sec = 21474837, .tv_usec = 1}, 2147483647,
+ NULL},
+ [81] = {100, {.tv_sec = 21474837, .tv_usec = 2}, 2147483647,
+ NULL},
+ [82] = {100, {.tv_sec = 21474837, .tv_usec = 2}, 2147483647,
+ NULL},
+ /* .tv_sec ~ INT64_MAX/1000000 */
+ [83] = {100, {.tv_sec = 9223372036854, .tv_usec = 999999},
+ INT_MAX, NULL},
+ [84] = {100, {.tv_sec = 9223372036855, .tv_usec = 0},
+ INT_MAX, NULL},
+ [85] = {100, {.tv_sec = 9223372036855, .tv_usec = 1},
+ INT_MAX, NULL},
+ [86] = {100, {.tv_sec = 9223372036855, .tv_usec = 2},
+ INT_MAX, NULL},
+ /* .tv_sec ~ INT64_MAX/hz, overflows to INT_MAX ticks */
+ [87] = {100, {.tv_sec = 92233720368547758, .tv_usec = 999999},
+ INT_MAX, NULL},
+ [88] = {100, {.tv_sec = 92233720368547758, .tv_usec = 0},
+ INT_MAX, NULL},
+ [89] = {100, {.tv_sec = 92233720368547758, .tv_usec = 1},
+ INT_MAX, NULL},
+ [90] = {100, {.tv_sec = 92233720368547758, .tv_usec = 2},
+ INT_MAX, NULL},
+ [91] = {100, {.tv_sec = (time_t)INT_MAX + 1, .tv_usec = 123456},
+ INT_MAX, NULL},
+
+ /*
+ * hz = 1000
+ */
+
+ [92] = {1000, {.tv_sec = -1, .tv_usec = 0}, 0, NULL},
+ [93] = {1000, {.tv_sec = -1, .tv_usec = 999999}, 0, NULL},
+ [94] = {1000, {.tv_sec = 0, .tv_usec = 0}, 0, NULL},
+ [95] = {1000, {.tv_sec = 0, .tv_usec = 1}, 2, NULL},
+ [96] = {1000, {.tv_sec = 0, .tv_usec = 2}, 2, NULL},
+ [97] = {1000, {.tv_sec = 0, .tv_usec = 999}, 2, NULL},
+ [98] = {1000, {.tv_sec = 0, .tv_usec = 1000}, 2, NULL},
+ [99] = {1000, {.tv_sec = 0, .tv_usec = 1001}, 3, NULL},
+ [100] = {1000, {.tv_sec = 0, .tv_usec = 1002}, 3, NULL},
+ [101] = {1000, {.tv_sec = 0, .tv_usec = 1999}, 3, NULL},
+ [102] = {1000, {.tv_sec = 0, .tv_usec = 2000}, 3, NULL},
+ [103] = {1000, {.tv_sec = 0, .tv_usec = 2001}, 4, NULL},
+ [104] = {1000, {.tv_sec = 0, .tv_usec = 2002}, 4, NULL},
+ [105] = {1000, {.tv_sec = 0, .tv_usec = 999999}, 1001, NULL},
+ [106] = {1000, {.tv_sec = 1, .tv_usec = 0}, 1001, NULL},
+ [107] = {1000, {.tv_sec = 1, .tv_usec = 1}, 1002, NULL},
+ [108] = {1000, {.tv_sec = 1, .tv_usec = 2}, 1002, NULL},
+ /* .tv_sec ~ INT_MAX/1000000 */
+ [109] = {1000, {.tv_sec = 2147, .tv_usec = 999999}, 2148001, NULL},
+ [110] = {1000, {.tv_sec = 2148, .tv_usec = 0}, 2148001, NULL},
+ [111] = {1000, {.tv_sec = 2148, .tv_usec = 1}, 2148002, NULL},
+ [112] = {1000, {.tv_sec = 2148, .tv_usec = 2}, 2148002, NULL},
+ /* .tv_sec ~ INT_MAX/hz */
+ [113] = {1000, {.tv_sec = 2147483, .tv_usec = 643999}, 2147483645,
+ NULL},
+ [114] = {1000, {.tv_sec = 2147483, .tv_usec = 644000}, 2147483645,
+ NULL},
+ [115] = {1000, {.tv_sec = 2147483, .tv_usec = 644001}, 2147483646,
+ NULL},
+ [116] = {1000, {.tv_sec = 2147483, .tv_usec = 644002}, 2147483646,
+ NULL},
+ [117] = {1000, {.tv_sec = 2147483, .tv_usec = 644999}, 2147483646,
+ NULL},
+ [118] = {1000, {.tv_sec = 2147483, .tv_usec = 645000}, 2147483646,
+ NULL},
+ /* saturate at INT_MAX = 2^31 - 1 ticks */
+ [119] = {1000, {.tv_sec = 2147483, .tv_usec = 645001}, 2147483647,
+ NULL},
+ [120] = {1000, {.tv_sec = 2147483, .tv_usec = 645002}, 2147483647,
+ NULL},
+ [121] = {1000, {.tv_sec = 2147483, .tv_usec = 645999}, 2147483647,
+ NULL},
+ [122] = {1000, {.tv_sec = 2147483, .tv_usec = 646000}, 2147483647,
+ NULL},
+ [123] = {1000, {.tv_sec = 2147483, .tv_usec = 646001}, 2147483647,
+ NULL},
+ [124] = {1000, {.tv_sec = 2147483, .tv_usec = 646002}, 2147483647,
+ NULL},
+ [125] = {1000, {.tv_sec = 2147483, .tv_usec = 699999}, 2147483647,
+ NULL},
+ [126] = {1000, {.tv_sec = 2147484, .tv_usec = 0}, 2147483647,
+ NULL},
+ [127] = {1000, {.tv_sec = 2147484, .tv_usec = 1}, 2147483647,
+ NULL},
+ [128] = {1000, {.tv_sec = 2147484, .tv_usec = 2}, 2147483647,
+ NULL},
+ [129] = {1000, {.tv_sec = 2147484, .tv_usec = 2}, 2147483647,
+ NULL},
+ /* .tv_sec ~ INT64_MAX/1000000, overflows to INT_MAX ticks */
+ [130] = {1000, {.tv_sec = 9223372036854, .tv_usec = 999999},
+ INT_MAX, NULL},
+ [131] = {1000, {.tv_sec = 9223372036855, .tv_usec = 0},
+ INT_MAX, NULL},
+ [132] = {1000, {.tv_sec = 9223372036855, .tv_usec = 1},
+ INT_MAX, NULL},
+ [133] = {1000, {.tv_sec = 9223372036855, .tv_usec = 2},
+ INT_MAX, NULL},
+ /* .tv_sec ~ INT64_MAX/hz, overflows to INT_MAX ticks */
+ [134] = {1000, {.tv_sec = 92233720368547758, .tv_usec = 999999},
+ INT_MAX, NULL},
+ [135] = {1000, {.tv_sec = 92233720368547758, .tv_usec = 0},
+ INT_MAX, NULL},
+ [136] = {1000, {.tv_sec = 92233720368547758, .tv_usec = 1},
+ INT_MAX, NULL},
+ [137] = {1000, {.tv_sec = 92233720368547758, .tv_usec = 2},
+ INT_MAX, NULL},
+ [138] = {1000, {.tv_sec = (time_t)INT_MAX + 1, .tv_usec = 123456},
+ INT_MAX, NULL},
+
+ /*
+ * hz = 8191, prime non-divisor of 10^k or 2^k
+ */
+
+ [139] = {8191, {.tv_sec = -1, .tv_usec = 0}, 0, NULL},
+ [140] = {8191, {.tv_sec = -1, .tv_usec = 999999}, 0, NULL},
+ [141] = {8191, {.tv_sec = 0, .tv_usec = 0}, 0, NULL},
+ [142] = {8191, {.tv_sec = 0, .tv_usec = 1}, 2, NULL},
+ [143] = {8191, {.tv_sec = 0, .tv_usec = 2}, 2, NULL},
+ [144] = {8191, {.tv_sec = 0, .tv_usec = 121}, 2, NULL},
+ [145] = {8191, {.tv_sec = 0, .tv_usec = 122}, 2, NULL},
+ [146] = {8191, {.tv_sec = 0, .tv_usec = 123}, 3, NULL},
+ [147] = {8191, {.tv_sec = 0, .tv_usec = 242}, 3, NULL},
+ [148] = {8191, {.tv_sec = 0, .tv_usec = 243}, 3, NULL},
+ [149] = {8191, {.tv_sec = 0, .tv_usec = 244}, 3, NULL},
+ [150] = {8191, {.tv_sec = 0, .tv_usec = 245}, 4, NULL},
+ [151] = {8191, {.tv_sec = 0, .tv_usec = 246}, 4, NULL},
+ [152] = {8191, {.tv_sec = 0, .tv_usec = 999999}, 8192, NULL},
+ [153] = {8191, {.tv_sec = 1, .tv_usec = 0}, 8192, NULL},
+ [154] = {8191, {.tv_sec = 1, .tv_usec = 1}, 8193, NULL},
+ [155] = {8191, {.tv_sec = 1, .tv_usec = 2}, 8193, NULL},
+ /* .tv_sec ~ INT_MAX/1000000 */
+ [156] = {8191, {.tv_sec = 2147, .tv_usec = 999999}, 17594269, NULL},
+ [157] = {8191, {.tv_sec = 2148, .tv_usec = 0}, 17594269, NULL},
+ [158] = {8191, {.tv_sec = 2148, .tv_usec = 1}, 17594270, NULL},
+ [159] = {8191, {.tv_sec = 2148, .tv_usec = 2}, 17594270, NULL},
+ /* .tv_sec ~ INT_MAX/hz */
+ [160] = {8191, {.tv_sec = 262176, .tv_usec = 3540}, 2147483646,
+ NULL},
+ [161] = {8191, {.tv_sec = 262176, .tv_usec = 3541}, 2147483647,
+ NULL},
+ [162] = {8191, {.tv_sec = 262176, .tv_usec = 3542}, 2147483647,
+ NULL},
+ /* saturate at INT_MAX = 2^31 - 1 ticks */
+ [163] = {8191, {.tv_sec = 262176, .tv_usec = 3662}, 2147483647,
+ NULL},
+ [164] = {8191, {.tv_sec = 262176, .tv_usec = 3663}, 2147483647,
+ NULL},
+ [165] = {8191, {.tv_sec = 262176, .tv_usec = 3664}, 2147483647,
+ NULL},
+ [166] = {8191, {.tv_sec = 262176, .tv_usec = 999999}, 2147483647,
+ NULL},
+ /* .tv_sec ~ INT64_MAX/1000000, overflows to INT_MAX ticks */
+ [167] = {8191, {.tv_sec = 9223372036854, .tv_usec = 999999},
+ INT_MAX, NULL},
+ [168] = {8191, {.tv_sec = 9223372036855, .tv_usec = 0},
+ INT_MAX, NULL},
+ [169] = {8191, {.tv_sec = 9223372036855, .tv_usec = 1},
+ INT_MAX, NULL},
+ [170] = {8191, {.tv_sec = 9223372036855, .tv_usec = 2},
+ INT_MAX, NULL},
+ /* .tv_sec ~ INT64_MAX/hz, overflows to INT_MAX ticks */
+ [171] = {8191, {.tv_sec = 92233720368547758, .tv_usec = 999999},
+ INT_MAX, NULL},
+ [172] = {8191, {.tv_sec = 92233720368547758, .tv_usec = 0},
+ INT_MAX, NULL},
+ [173] = {8191, {.tv_sec = 92233720368547758, .tv_usec = 1},
+ INT_MAX, NULL},
+ [174] = {8191, {.tv_sec = 92233720368547758, .tv_usec = 2},
+ INT_MAX, NULL},
+ [175] = {8191, {.tv_sec = (time_t)INT_MAX + 1, .tv_usec = 123456},
+ INT_MAX, NULL},
+};
+
+ATF_TC(tvtohz);
+ATF_TC_HEAD(tvtohz, tc)
+{
+ atf_tc_set_md_var(tc, "descr",
+ "Test tvtohz(9)");
+}
+ATF_TC_BODY(tvtohz, tc)
+{
+ size_t i;
+
+ for (i = 0; i < __arraycount(tvtohz_cases); i++) {
+ const struct tvtohz_case *tv = &tvtohz_cases[i];
+ int ticks;
+
+ /* set system parameters */
+ hz = tv->tv_hz;
+ tick = 1000000/hz;
+
+ ticks = tvtohz(&tv->tv_tv);
+ if (tv->tv_xfail)
+ atf_tc_expect_fail("%s", tv->tv_xfail);
+
+ /*
+ * Allow some slop of one part per thousand in the
+ * arithmetic, but ensure we round up, not down.
+ *
+ * XXX Analytically determine error bounds on the
+ * formulae we use and assess them.
+ */
+ ATF_CHECK_MSG(((unsigned)(ticks - tv->tv_ticks) <=
+ (unsigned)tv->tv_ticks/1000),
+ "[%zu] tvtohz(%lld.%06ld sec) @ %d Hz:"
+ " expected %d, got %d",
+ i,
+ (long long)tv->tv_tv.tv_sec,
+ (long)tv->tv_tv.tv_usec,
+ tv->tv_hz,
+ tv->tv_ticks,
+ ticks);
+ if (tv->tv_xfail)
+ atf_tc_expect_pass();
+ }
+}
+
+ATF_TP_ADD_TCS(tp)
+{
+
+ ATF_TP_ADD_TC(tp, itimer_transitions);
+ ATF_TP_ADD_TC(tp, tstohz);
+ ATF_TP_ADD_TC(tp, tvtohz);
+
+ return atf_no_error();
+}
+