subr_time.c revision 1.38 1 1.38 riastrad /* $NetBSD: subr_time.c,v 1.38 2023/07/08 20:02:10 riastradh Exp $ */
2 1.1 pooka
3 1.1 pooka /*
4 1.1 pooka * Copyright (c) 1982, 1986, 1989, 1993
5 1.1 pooka * The Regents of the University of California. All rights reserved.
6 1.1 pooka *
7 1.1 pooka * Redistribution and use in source and binary forms, with or without
8 1.1 pooka * modification, are permitted provided that the following conditions
9 1.1 pooka * are met:
10 1.1 pooka * 1. Redistributions of source code must retain the above copyright
11 1.1 pooka * notice, this list of conditions and the following disclaimer.
12 1.1 pooka * 2. Redistributions in binary form must reproduce the above copyright
13 1.1 pooka * notice, this list of conditions and the following disclaimer in the
14 1.1 pooka * documentation and/or other materials provided with the distribution.
15 1.1 pooka * 3. Neither the name of the University nor the names of its contributors
16 1.1 pooka * may be used to endorse or promote products derived from this software
17 1.1 pooka * without specific prior written permission.
18 1.1 pooka *
19 1.1 pooka * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
20 1.1 pooka * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
21 1.1 pooka * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
22 1.1 pooka * ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
23 1.1 pooka * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
24 1.1 pooka * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
25 1.1 pooka * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
26 1.1 pooka * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
27 1.1 pooka * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
28 1.1 pooka * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
29 1.1 pooka * SUCH DAMAGE.
30 1.1 pooka *
31 1.1 pooka * @(#)kern_clock.c 8.5 (Berkeley) 1/21/94
32 1.1 pooka * @(#)kern_time.c 8.4 (Berkeley) 5/26/95
33 1.1 pooka */
34 1.1 pooka
35 1.1 pooka #include <sys/cdefs.h>
36 1.38 riastrad __KERNEL_RCSID(0, "$NetBSD: subr_time.c,v 1.38 2023/07/08 20:02:10 riastradh Exp $");
37 1.1 pooka
38 1.1 pooka #include <sys/param.h>
39 1.1 pooka #include <sys/kernel.h>
40 1.18 christos #include <sys/proc.h>
41 1.18 christos #include <sys/kauth.h>
42 1.18 christos #include <sys/lwp.h>
43 1.1 pooka #include <sys/timex.h>
44 1.1 pooka #include <sys/time.h>
45 1.1 pooka #include <sys/timetc.h>
46 1.2 ad #include <sys/intr.h>
47 1.1 pooka
48 1.1 pooka /*
49 1.1 pooka * Compute number of hz until specified time. Used to compute second
50 1.1 pooka * argument to callout_reset() from an absolute time.
51 1.1 pooka */
52 1.1 pooka int
53 1.4 christos tvhzto(const struct timeval *tvp)
54 1.1 pooka {
55 1.1 pooka struct timeval now, tv;
56 1.1 pooka
57 1.1 pooka tv = *tvp; /* Don't modify original tvp. */
58 1.1 pooka getmicrotime(&now);
59 1.1 pooka timersub(&tv, &now, &tv);
60 1.1 pooka return tvtohz(&tv);
61 1.1 pooka }
62 1.1 pooka
63 1.1 pooka /*
64 1.1 pooka * Compute number of ticks in the specified amount of time.
65 1.1 pooka */
66 1.1 pooka int
67 1.4 christos tvtohz(const struct timeval *tv)
68 1.1 pooka {
69 1.1 pooka unsigned long ticks;
70 1.1 pooka long sec, usec;
71 1.1 pooka
72 1.1 pooka /*
73 1.1 pooka * If the number of usecs in the whole seconds part of the time
74 1.1 pooka * difference fits in a long, then the total number of usecs will
75 1.1 pooka * fit in an unsigned long. Compute the total and convert it to
76 1.1 pooka * ticks, rounding up and adding 1 to allow for the current tick
77 1.1 pooka * to expire. Rounding also depends on unsigned long arithmetic
78 1.1 pooka * to avoid overflow.
79 1.1 pooka *
80 1.1 pooka * Otherwise, if the number of ticks in the whole seconds part of
81 1.1 pooka * the time difference fits in a long, then convert the parts to
82 1.1 pooka * ticks separately and add, using similar rounding methods and
83 1.1 pooka * overflow avoidance. This method would work in the previous
84 1.1 pooka * case, but it is slightly slower and assumes that hz is integral.
85 1.1 pooka *
86 1.1 pooka * Otherwise, round the time difference down to the maximum
87 1.1 pooka * representable value.
88 1.1 pooka *
89 1.1 pooka * If ints are 32-bit, then the maximum value for any timeout in
90 1.1 pooka * 10ms ticks is 248 days.
91 1.1 pooka */
92 1.1 pooka sec = tv->tv_sec;
93 1.1 pooka usec = tv->tv_usec;
94 1.1 pooka
95 1.36 riastrad KASSERT(usec >= 0);
96 1.36 riastrad KASSERT(usec < 1000000);
97 1.8 drochner
98 1.8 drochner /* catch overflows in conversion time_t->int */
99 1.8 drochner if (tv->tv_sec > INT_MAX)
100 1.8 drochner return INT_MAX;
101 1.8 drochner if (tv->tv_sec < 0)
102 1.8 drochner return 0;
103 1.1 pooka
104 1.8 drochner if (sec < 0 || (sec == 0 && usec == 0)) {
105 1.1 pooka /*
106 1.1 pooka * Would expire now or in the past. Return 0 ticks.
107 1.4 christos * This is different from the legacy tvhzto() interface,
108 1.1 pooka * and callers need to check for it.
109 1.1 pooka */
110 1.1 pooka ticks = 0;
111 1.1 pooka } else if (sec <= (LONG_MAX / 1000000))
112 1.1 pooka ticks = (((sec * 1000000) + (unsigned long)usec + (tick - 1))
113 1.1 pooka / tick) + 1;
114 1.1 pooka else if (sec <= (LONG_MAX / hz))
115 1.1 pooka ticks = (sec * hz) +
116 1.1 pooka (((unsigned long)usec + (tick - 1)) / tick) + 1;
117 1.1 pooka else
118 1.1 pooka ticks = LONG_MAX;
119 1.1 pooka
120 1.1 pooka if (ticks > INT_MAX)
121 1.1 pooka ticks = INT_MAX;
122 1.1 pooka
123 1.1 pooka return ((int)ticks);
124 1.1 pooka }
125 1.1 pooka
126 1.4 christos int
127 1.4 christos tshzto(const struct timespec *tsp)
128 1.4 christos {
129 1.4 christos struct timespec now, ts;
130 1.4 christos
131 1.4 christos ts = *tsp; /* Don't modify original tsp. */
132 1.4 christos getnanotime(&now);
133 1.4 christos timespecsub(&ts, &now, &ts);
134 1.4 christos return tstohz(&ts);
135 1.4 christos }
136 1.9 christos
137 1.9 christos int
138 1.9 christos tshztoup(const struct timespec *tsp)
139 1.9 christos {
140 1.9 christos struct timespec now, ts;
141 1.9 christos
142 1.9 christos ts = *tsp; /* Don't modify original tsp. */
143 1.9 christos getnanouptime(&now);
144 1.9 christos timespecsub(&ts, &now, &ts);
145 1.9 christos return tstohz(&ts);
146 1.9 christos }
147 1.9 christos
148 1.1 pooka /*
149 1.1 pooka * Compute number of ticks in the specified amount of time.
150 1.1 pooka */
151 1.1 pooka int
152 1.4 christos tstohz(const struct timespec *ts)
153 1.1 pooka {
154 1.1 pooka struct timeval tv;
155 1.1 pooka
156 1.1 pooka /*
157 1.1 pooka * usec has great enough resolution for hz, so convert to a
158 1.1 pooka * timeval and use tvtohz() above.
159 1.1 pooka */
160 1.1 pooka TIMESPEC_TO_TIMEVAL(&tv, ts);
161 1.1 pooka return tvtohz(&tv);
162 1.1 pooka }
163 1.1 pooka
164 1.1 pooka /*
165 1.1 pooka * Check that a proposed value to load into the .it_value or
166 1.1 pooka * .it_interval part of an interval timer is acceptable, and
167 1.1 pooka * fix it to have at least minimal value (i.e. if it is less
168 1.15 christos * than the resolution of the clock, round it up.). We don't
169 1.15 christos * timeout the 0,0 value because this means to disable the
170 1.15 christos * timer or the interval.
171 1.1 pooka */
172 1.1 pooka int
173 1.1 pooka itimerfix(struct timeval *tv)
174 1.1 pooka {
175 1.1 pooka
176 1.12 christos if (tv->tv_usec < 0 || tv->tv_usec >= 1000000)
177 1.12 christos return EINVAL;
178 1.15 christos if (tv->tv_sec < 0)
179 1.12 christos return ETIMEDOUT;
180 1.15 christos if (tv->tv_sec == 0 && tv->tv_usec != 0 && tv->tv_usec < tick)
181 1.1 pooka tv->tv_usec = tick;
182 1.12 christos return 0;
183 1.1 pooka }
184 1.1 pooka
185 1.1 pooka int
186 1.1 pooka itimespecfix(struct timespec *ts)
187 1.1 pooka {
188 1.1 pooka
189 1.12 christos if (ts->tv_nsec < 0 || ts->tv_nsec >= 1000000000)
190 1.12 christos return EINVAL;
191 1.15 christos if (ts->tv_sec < 0)
192 1.12 christos return ETIMEDOUT;
193 1.15 christos if (ts->tv_sec == 0 && ts->tv_nsec != 0 && ts->tv_nsec < tick * 1000)
194 1.1 pooka ts->tv_nsec = tick * 1000;
195 1.12 christos return 0;
196 1.1 pooka }
197 1.5 rmind
198 1.5 rmind int
199 1.5 rmind inittimeleft(struct timespec *ts, struct timespec *sleepts)
200 1.5 rmind {
201 1.5 rmind
202 1.5 rmind if (itimespecfix(ts)) {
203 1.5 rmind return -1;
204 1.5 rmind }
205 1.35 riastrad KASSERT(ts->tv_sec >= 0);
206 1.5 rmind getnanouptime(sleepts);
207 1.5 rmind return 0;
208 1.5 rmind }
209 1.5 rmind
210 1.5 rmind int
211 1.5 rmind gettimeleft(struct timespec *ts, struct timespec *sleepts)
212 1.5 rmind {
213 1.35 riastrad struct timespec now, sleptts;
214 1.35 riastrad
215 1.35 riastrad KASSERT(ts->tv_sec >= 0);
216 1.5 rmind
217 1.5 rmind /*
218 1.5 rmind * Reduce ts by elapsed time based on monotonic time scale.
219 1.5 rmind */
220 1.35 riastrad getnanouptime(&now);
221 1.35 riastrad KASSERT(timespeccmp(sleepts, &now, <=));
222 1.35 riastrad timespecsub(&now, sleepts, &sleptts);
223 1.35 riastrad *sleepts = now;
224 1.35 riastrad
225 1.35 riastrad if (timespeccmp(ts, &sleptts, <=)) { /* timed out */
226 1.35 riastrad timespecclear(ts);
227 1.35 riastrad return 0;
228 1.35 riastrad }
229 1.5 rmind timespecsub(ts, &sleptts, ts);
230 1.5 rmind
231 1.5 rmind return tstohz(ts);
232 1.5 rmind }
233 1.5 rmind
234 1.20 christos void
235 1.20 christos clock_timeleft(clockid_t clockid, struct timespec *ts, struct timespec *sleepts)
236 1.20 christos {
237 1.20 christos struct timespec sleptts;
238 1.20 christos
239 1.20 christos clock_gettime1(clockid, &sleptts);
240 1.20 christos timespecadd(ts, sleepts, ts);
241 1.20 christos timespecsub(ts, &sleptts, ts);
242 1.20 christos *sleepts = sleptts;
243 1.20 christos }
244 1.20 christos
245 1.11 martin int
246 1.11 martin clock_gettime1(clockid_t clock_id, struct timespec *ts)
247 1.11 martin {
248 1.18 christos int error;
249 1.18 christos struct proc *p;
250 1.18 christos
251 1.18 christos #define CPUCLOCK_ID_MASK (~(CLOCK_THREAD_CPUTIME_ID|CLOCK_PROCESS_CPUTIME_ID))
252 1.18 christos if (clock_id & CLOCK_PROCESS_CPUTIME_ID) {
253 1.18 christos pid_t pid = clock_id & CPUCLOCK_ID_MASK;
254 1.38 riastrad struct timeval cputime;
255 1.18 christos
256 1.25 ad mutex_enter(&proc_lock);
257 1.18 christos p = pid == 0 ? curproc : proc_find(pid);
258 1.18 christos if (p == NULL) {
259 1.25 ad mutex_exit(&proc_lock);
260 1.18 christos return ESRCH;
261 1.18 christos }
262 1.38 riastrad mutex_enter(p->p_lock);
263 1.38 riastrad calcru(p, /*usertime*/NULL, /*systime*/NULL, /*intrtime*/NULL,
264 1.38 riastrad &cputime);
265 1.38 riastrad mutex_exit(p->p_lock);
266 1.25 ad mutex_exit(&proc_lock);
267 1.18 christos
268 1.18 christos // XXX: Perhaps create a special kauth type
269 1.31 christos error = kauth_authorize_process(kauth_cred_get(),
270 1.18 christos KAUTH_PROCESS_PTRACE, p,
271 1.18 christos KAUTH_ARG(KAUTH_REQ_PROCESS_CANSEE_ENTRY), NULL, NULL);
272 1.18 christos if (error)
273 1.18 christos return error;
274 1.38 riastrad
275 1.38 riastrad TIMEVAL_TO_TIMESPEC(&cputime, ts);
276 1.38 riastrad return 0;
277 1.18 christos } else if (clock_id & CLOCK_THREAD_CPUTIME_ID) {
278 1.18 christos struct lwp *l;
279 1.18 christos lwpid_t lid = clock_id & CPUCLOCK_ID_MASK;
280 1.38 riastrad struct bintime tm = {0, 0};
281 1.38 riastrad
282 1.18 christos p = curproc;
283 1.18 christos mutex_enter(p->p_lock);
284 1.18 christos l = lid == 0 ? curlwp : lwp_find(p, lid);
285 1.18 christos if (l == NULL) {
286 1.18 christos mutex_exit(p->p_lock);
287 1.18 christos return ESRCH;
288 1.18 christos }
289 1.38 riastrad addrulwp(l, &tm);
290 1.18 christos mutex_exit(p->p_lock);
291 1.18 christos
292 1.38 riastrad bintime2timespec(&tm, ts);
293 1.18 christos return 0;
294 1.18 christos }
295 1.11 martin
296 1.11 martin switch (clock_id) {
297 1.11 martin case CLOCK_REALTIME:
298 1.11 martin nanotime(ts);
299 1.11 martin break;
300 1.11 martin case CLOCK_MONOTONIC:
301 1.11 martin nanouptime(ts);
302 1.11 martin break;
303 1.11 martin default:
304 1.11 martin return EINVAL;
305 1.11 martin }
306 1.11 martin
307 1.11 martin return 0;
308 1.11 martin }
309 1.11 martin
310 1.5 rmind /*
311 1.5 rmind * Calculate delta and convert from struct timespec to the ticks.
312 1.5 rmind */
313 1.5 rmind int
314 1.10 christos ts2timo(clockid_t clock_id, int flags, struct timespec *ts,
315 1.10 christos int *timo, struct timespec *start)
316 1.5 rmind {
317 1.14 christos int error;
318 1.28 nia struct timespec tsd;
319 1.5 rmind
320 1.21 kamil if (ts->tv_nsec < 0 || ts->tv_nsec >= 1000000000L)
321 1.21 kamil return EINVAL;
322 1.21 kamil
323 1.30 nia if ((flags & TIMER_ABSTIME) != 0 || start != NULL) {
324 1.29 nia error = clock_gettime1(clock_id, &tsd);
325 1.26 nia if (error != 0)
326 1.17 christos return error;
327 1.29 nia if (start != NULL)
328 1.29 nia *start = tsd;
329 1.26 nia }
330 1.10 christos
331 1.30 nia if ((flags & TIMER_ABSTIME) != 0) {
332 1.34 riastrad if (!timespecsubok(ts, &tsd))
333 1.29 nia return EINVAL;
334 1.29 nia timespecsub(ts, &tsd, ts);
335 1.29 nia }
336 1.10 christos
337 1.26 nia error = itimespecfix(ts);
338 1.26 nia if (error != 0)
339 1.5 rmind return error;
340 1.10 christos
341 1.15 christos if (ts->tv_sec == 0 && ts->tv_nsec == 0)
342 1.15 christos return ETIMEDOUT;
343 1.15 christos
344 1.14 christos *timo = tstohz(ts);
345 1.14 christos KASSERT(*timo > 0);
346 1.5 rmind
347 1.5 rmind return 0;
348 1.5 rmind }
349 1.33 riastrad
350 1.33 riastrad bool
351 1.33 riastrad timespecaddok(const struct timespec *tsp, const struct timespec *usp)
352 1.33 riastrad {
353 1.33 riastrad enum { TIME_MIN = __type_min(time_t), TIME_MAX = __type_max(time_t) };
354 1.33 riastrad time_t a = tsp->tv_sec;
355 1.33 riastrad time_t b = usp->tv_sec;
356 1.33 riastrad bool carry;
357 1.33 riastrad
358 1.33 riastrad /*
359 1.33 riastrad * Caller is responsible for guaranteeing valid timespec
360 1.33 riastrad * inputs. Any user-controlled inputs must be validated or
361 1.33 riastrad * adjusted.
362 1.33 riastrad */
363 1.33 riastrad KASSERT(tsp->tv_nsec >= 0);
364 1.33 riastrad KASSERT(usp->tv_nsec >= 0);
365 1.33 riastrad KASSERT(tsp->tv_nsec < 1000000000L);
366 1.33 riastrad KASSERT(usp->tv_nsec < 1000000000L);
367 1.33 riastrad CTASSERT(1000000000L <= __type_max(long) - 1000000000L);
368 1.33 riastrad
369 1.33 riastrad /*
370 1.33 riastrad * Fail if a + b + carry overflows TIME_MAX, or if a + b
371 1.33 riastrad * overflows TIME_MIN because timespecadd adds the carry after
372 1.33 riastrad * computing a + b.
373 1.33 riastrad *
374 1.33 riastrad * Break it into two mutually exclusive and exhaustive cases:
375 1.33 riastrad * I. a >= 0
376 1.33 riastrad * II. a < 0
377 1.33 riastrad */
378 1.33 riastrad carry = (tsp->tv_nsec + usp->tv_nsec >= 1000000000L);
379 1.33 riastrad if (a >= 0) {
380 1.33 riastrad /*
381 1.33 riastrad * Case I: a >= 0. If b < 0, then b + 1 <= 0, so
382 1.33 riastrad *
383 1.33 riastrad * a + b + 1 <= a + 0 <= TIME_MAX,
384 1.33 riastrad *
385 1.33 riastrad * and
386 1.33 riastrad *
387 1.33 riastrad * a + b >= 0 + b = b >= TIME_MIN,
388 1.33 riastrad *
389 1.33 riastrad * so this can't overflow.
390 1.33 riastrad *
391 1.33 riastrad * If b >= 0, then a + b + carry >= a + b >= 0, so
392 1.33 riastrad * negative results and thus results below TIME_MIN are
393 1.33 riastrad * impossible; we need only avoid
394 1.33 riastrad *
395 1.33 riastrad * a + b + carry > TIME_MAX,
396 1.33 riastrad *
397 1.33 riastrad * which we will do by rejecting if
398 1.33 riastrad *
399 1.33 riastrad * b > TIME_MAX - a - carry,
400 1.33 riastrad *
401 1.33 riastrad * which in turn is incidentally always false if b < 0
402 1.33 riastrad * so we don't need extra logic to discriminate on the
403 1.33 riastrad * b >= 0 and b < 0 cases.
404 1.33 riastrad *
405 1.33 riastrad * Since 0 <= a <= TIME_MAX, we know
406 1.33 riastrad *
407 1.33 riastrad * 0 <= TIME_MAX - a <= TIME_MAX,
408 1.33 riastrad *
409 1.33 riastrad * and hence
410 1.33 riastrad *
411 1.33 riastrad * -1 <= TIME_MAX - a - 1 < TIME_MAX.
412 1.33 riastrad *
413 1.33 riastrad * So we can compute TIME_MAX - a - carry (i.e., either
414 1.33 riastrad * TIME_MAX - a or TIME_MAX - a - 1) safely without
415 1.33 riastrad * overflow.
416 1.33 riastrad */
417 1.33 riastrad if (b > TIME_MAX - a - carry)
418 1.33 riastrad return false;
419 1.33 riastrad } else {
420 1.33 riastrad /*
421 1.33 riastrad * Case II: a < 0. If b >= 0, then since a + 1 <= 0,
422 1.33 riastrad * we have
423 1.33 riastrad *
424 1.33 riastrad * a + b + 1 <= b <= TIME_MAX,
425 1.33 riastrad *
426 1.33 riastrad * and
427 1.33 riastrad *
428 1.33 riastrad * a + b >= a >= TIME_MIN,
429 1.33 riastrad *
430 1.33 riastrad * so this can't overflow.
431 1.33 riastrad *
432 1.33 riastrad * If b < 0, then the intermediate a + b is negative
433 1.33 riastrad * and the outcome a + b + 1 is nonpositive, so we need
434 1.33 riastrad * only avoid
435 1.33 riastrad *
436 1.33 riastrad * a + b < TIME_MIN,
437 1.33 riastrad *
438 1.33 riastrad * which we will do by rejecting if
439 1.33 riastrad *
440 1.33 riastrad * a < TIME_MIN - b.
441 1.33 riastrad *
442 1.33 riastrad * (Reminder: The carry is added afterward in
443 1.33 riastrad * timespecadd, so to avoid overflow it is not enough
444 1.33 riastrad * to merely reject a + b + carry < TIME_MIN.)
445 1.33 riastrad *
446 1.33 riastrad * It is safe to compute the difference TIME_MIN - b
447 1.33 riastrad * because b is negative, so the result lies in
448 1.33 riastrad * (TIME_MIN, 0].
449 1.33 riastrad */
450 1.33 riastrad if (b < 0 && a < TIME_MIN - b)
451 1.33 riastrad return false;
452 1.33 riastrad }
453 1.33 riastrad
454 1.33 riastrad return true;
455 1.33 riastrad }
456 1.33 riastrad
457 1.33 riastrad bool
458 1.33 riastrad timespecsubok(const struct timespec *tsp, const struct timespec *usp)
459 1.33 riastrad {
460 1.33 riastrad enum { TIME_MIN = __type_min(time_t), TIME_MAX = __type_max(time_t) };
461 1.33 riastrad time_t a = tsp->tv_sec, b = usp->tv_sec;
462 1.33 riastrad bool borrow;
463 1.33 riastrad
464 1.33 riastrad /*
465 1.33 riastrad * Caller is responsible for guaranteeing valid timespec
466 1.33 riastrad * inputs. Any user-controlled inputs must be validated or
467 1.33 riastrad * adjusted.
468 1.33 riastrad */
469 1.33 riastrad KASSERT(tsp->tv_nsec >= 0);
470 1.33 riastrad KASSERT(usp->tv_nsec >= 0);
471 1.33 riastrad KASSERT(tsp->tv_nsec < 1000000000L);
472 1.33 riastrad KASSERT(usp->tv_nsec < 1000000000L);
473 1.33 riastrad CTASSERT(1000000000L <= __type_max(long) - 1000000000L);
474 1.33 riastrad
475 1.33 riastrad /*
476 1.33 riastrad * Fail if a - b - borrow overflows TIME_MIN, or if a - b
477 1.33 riastrad * overflows TIME_MAX because timespecsub subtracts the borrow
478 1.33 riastrad * after computing a - b.
479 1.33 riastrad *
480 1.33 riastrad * Break it into two mutually exclusive and exhaustive cases:
481 1.33 riastrad * I. a < 0
482 1.33 riastrad * II. a >= 0
483 1.33 riastrad */
484 1.33 riastrad borrow = (tsp->tv_nsec - usp->tv_nsec < 0);
485 1.33 riastrad if (a < 0) {
486 1.33 riastrad /*
487 1.33 riastrad * Case I: a < 0. If b < 0, then -b - 1 >= 0, so
488 1.33 riastrad *
489 1.33 riastrad * a - b - 1 >= a + 0 >= TIME_MIN,
490 1.33 riastrad *
491 1.33 riastrad * and, since a <= -1, provided that TIME_MIN <=
492 1.33 riastrad * -TIME_MAX - 1 so that TIME_MAX <= -TIME_MIN - 1 (in
493 1.33 riastrad * fact, equality holds, under the assumption of
494 1.33 riastrad * two's-complement arithmetic),
495 1.33 riastrad *
496 1.33 riastrad * a - b <= -1 - b = -b - 1 <= TIME_MAX,
497 1.33 riastrad *
498 1.33 riastrad * so this can't overflow.
499 1.33 riastrad */
500 1.33 riastrad CTASSERT(TIME_MIN <= -TIME_MAX - 1);
501 1.33 riastrad
502 1.33 riastrad /*
503 1.33 riastrad * If b >= 0, then a - b - borrow <= a - b < 0, so
504 1.33 riastrad * positive results and thus results above TIME_MAX are
505 1.33 riastrad * impossible; we need only avoid
506 1.33 riastrad *
507 1.33 riastrad * a - b - borrow < TIME_MIN,
508 1.33 riastrad *
509 1.33 riastrad * which we will do by rejecting if
510 1.33 riastrad *
511 1.33 riastrad * a < TIME_MIN + b + borrow.
512 1.33 riastrad *
513 1.33 riastrad * The right-hand side is safe to evaluate for any
514 1.33 riastrad * values of b and borrow as long as TIME_MIN +
515 1.33 riastrad * TIME_MAX + 1 <= TIME_MAX, i.e., TIME_MIN <= -1.
516 1.33 riastrad * (Note: If time_t were unsigned, this would fail!)
517 1.33 riastrad *
518 1.33 riastrad * Note: Unlike Case I in timespecaddok, this criterion
519 1.33 riastrad * does not work for b < 0, nor can the roles of a and
520 1.33 riastrad * b in the inequality be reversed (e.g., -b < TIME_MIN
521 1.33 riastrad * - a + borrow) without extra cases like checking for
522 1.33 riastrad * b = TEST_MIN.
523 1.33 riastrad */
524 1.33 riastrad CTASSERT(TIME_MIN < -1);
525 1.33 riastrad if (b >= 0 && a < TIME_MIN + b + borrow)
526 1.33 riastrad return false;
527 1.33 riastrad } else {
528 1.33 riastrad /*
529 1.33 riastrad * Case II: a >= 0. If b >= 0, then
530 1.33 riastrad *
531 1.33 riastrad * a - b <= a <= TIME_MAX,
532 1.33 riastrad *
533 1.33 riastrad * and, provided TIME_MIN <= -TIME_MAX - 1 (in fact,
534 1.33 riastrad * equality holds, under the assumption of
535 1.33 riastrad * two's-complement arithmetic)
536 1.33 riastrad *
537 1.33 riastrad * a - b - 1 >= -b - 1 >= -TIME_MAX - 1 >= TIME_MIN,
538 1.33 riastrad *
539 1.33 riastrad * so this can't overflow.
540 1.33 riastrad */
541 1.33 riastrad CTASSERT(TIME_MIN <= -TIME_MAX - 1);
542 1.33 riastrad
543 1.33 riastrad /*
544 1.33 riastrad * If b < 0, then a - b >= a >= 0, so negative results
545 1.33 riastrad * and thus results below TIME_MIN are impossible; we
546 1.33 riastrad * need only avoid
547 1.33 riastrad *
548 1.33 riastrad * a - b > TIME_MAX,
549 1.33 riastrad *
550 1.33 riastrad * which we will do by rejecting if
551 1.33 riastrad *
552 1.33 riastrad * a > TIME_MAX + b.
553 1.33 riastrad *
554 1.33 riastrad * (Reminder: The borrow is subtracted afterward in
555 1.33 riastrad * timespecsub, so to avoid overflow it is not enough
556 1.33 riastrad * to merely reject a - b - borrow > TIME_MAX.)
557 1.33 riastrad *
558 1.33 riastrad * It is safe to compute the sum TIME_MAX + b because b
559 1.33 riastrad * is negative, so the result lies in [0, TIME_MAX).
560 1.33 riastrad */
561 1.33 riastrad if (b < 0 && a > TIME_MAX + b)
562 1.33 riastrad return false;
563 1.33 riastrad }
564 1.33 riastrad
565 1.33 riastrad return true;
566 1.33 riastrad }
567