xref: /qemu/util/qemu-timer.c (revision 58ac56b9ad53b006396523639bb7d7043edc56bf)
1 /*
2  * QEMU System Emulator
3  *
4  * Copyright (c) 2003-2008 Fabrice Bellard
5  *
6  * Permission is hereby granted, free of charge, to any person obtaining a copy
7  * of this software and associated documentation files (the "Software"), to deal
8  * in the Software without restriction, including without limitation the rights
9  * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
10  * copies of the Software, and to permit persons to whom the Software is
11  * furnished to do so, subject to the following conditions:
12  *
13  * The above copyright notice and this permission notice shall be included in
14  * all copies or substantial portions of the Software.
15  *
16  * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
17  * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
18  * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL
19  * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
20  * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
21  * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
22  * THE SOFTWARE.
23  */
24 
25 #include "sysemu/sysemu.h"
26 #include "monitor/monitor.h"
27 #include "ui/console.h"
28 
29 #include "hw/hw.h"
30 
31 #include "qemu/timer.h"
32 #ifdef CONFIG_POSIX
33 #include <pthread.h>
34 #endif
35 
36 #ifdef _WIN32
37 #include <mmsystem.h>
38 #endif
39 
40 /***********************************************************/
41 /* timers */
42 
43 struct QEMUClock {
44     QEMUTimer *active_timers;
45 
46     NotifierList reset_notifiers;
47     int64_t last;
48 
49     int type;
50     bool enabled;
51 };
52 
53 struct QEMUTimer {
54     int64_t expire_time;	/* in nanoseconds */
55     QEMUClock *clock;
56     QEMUTimerCB *cb;
57     void *opaque;
58     QEMUTimer *next;
59     int scale;
60 };
61 
62 struct qemu_alarm_timer {
63     char const *name;
64     int (*start)(struct qemu_alarm_timer *t);
65     void (*stop)(struct qemu_alarm_timer *t);
66     void (*rearm)(struct qemu_alarm_timer *t, int64_t nearest_delta_ns);
67 #if defined(__linux__)
68     timer_t timer;
69     int fd;
70 #elif defined(_WIN32)
71     HANDLE timer;
72 #endif
73     bool expired;
74     bool pending;
75 };
76 
77 static struct qemu_alarm_timer *alarm_timer;
78 
79 static bool timer_expired_ns(QEMUTimer *timer_head, int64_t current_time)
80 {
81     return timer_head && (timer_head->expire_time <= current_time);
82 }
83 
84 static int64_t qemu_next_alarm_deadline(void)
85 {
86     int64_t delta = INT64_MAX;
87     int64_t rtdelta;
88 
89     if (!use_icount && vm_clock->enabled && vm_clock->active_timers) {
90         delta = vm_clock->active_timers->expire_time -
91                      qemu_get_clock_ns(vm_clock);
92     }
93     if (host_clock->enabled && host_clock->active_timers) {
94         int64_t hdelta = host_clock->active_timers->expire_time -
95                  qemu_get_clock_ns(host_clock);
96         if (hdelta < delta) {
97             delta = hdelta;
98         }
99     }
100     if (rt_clock->enabled && rt_clock->active_timers) {
101         rtdelta = (rt_clock->active_timers->expire_time -
102                  qemu_get_clock_ns(rt_clock));
103         if (rtdelta < delta) {
104             delta = rtdelta;
105         }
106     }
107 
108     return delta;
109 }
110 
111 static void qemu_rearm_alarm_timer(struct qemu_alarm_timer *t)
112 {
113     int64_t nearest_delta_ns = qemu_next_alarm_deadline();
114     if (nearest_delta_ns < INT64_MAX) {
115         t->rearm(t, nearest_delta_ns);
116     }
117 }
118 
119 /* TODO: MIN_TIMER_REARM_NS should be optimized */
120 #define MIN_TIMER_REARM_NS 250000
121 
122 #ifdef _WIN32
123 
124 static int mm_start_timer(struct qemu_alarm_timer *t);
125 static void mm_stop_timer(struct qemu_alarm_timer *t);
126 static void mm_rearm_timer(struct qemu_alarm_timer *t, int64_t delta);
127 
128 static int win32_start_timer(struct qemu_alarm_timer *t);
129 static void win32_stop_timer(struct qemu_alarm_timer *t);
130 static void win32_rearm_timer(struct qemu_alarm_timer *t, int64_t delta);
131 
132 #else
133 
134 static int unix_start_timer(struct qemu_alarm_timer *t);
135 static void unix_stop_timer(struct qemu_alarm_timer *t);
136 static void unix_rearm_timer(struct qemu_alarm_timer *t, int64_t delta);
137 
138 #ifdef __linux__
139 
140 static int dynticks_start_timer(struct qemu_alarm_timer *t);
141 static void dynticks_stop_timer(struct qemu_alarm_timer *t);
142 static void dynticks_rearm_timer(struct qemu_alarm_timer *t, int64_t delta);
143 
144 #endif /* __linux__ */
145 
146 #endif /* _WIN32 */
147 
148 static struct qemu_alarm_timer alarm_timers[] = {
149 #ifndef _WIN32
150 #ifdef __linux__
151     {"dynticks", dynticks_start_timer,
152      dynticks_stop_timer, dynticks_rearm_timer},
153 #endif
154     {"unix", unix_start_timer, unix_stop_timer, unix_rearm_timer},
155 #else
156     {"mmtimer", mm_start_timer, mm_stop_timer, mm_rearm_timer},
157     {"dynticks", win32_start_timer, win32_stop_timer, win32_rearm_timer},
158 #endif
159     {NULL, }
160 };
161 
162 static void show_available_alarms(void)
163 {
164     int i;
165 
166     printf("Available alarm timers, in order of precedence:\n");
167     for (i = 0; alarm_timers[i].name; i++)
168         printf("%s\n", alarm_timers[i].name);
169 }
170 
171 void configure_alarms(char const *opt)
172 {
173     int i;
174     int cur = 0;
175     int count = ARRAY_SIZE(alarm_timers) - 1;
176     char *arg;
177     char *name;
178     struct qemu_alarm_timer tmp;
179 
180     if (is_help_option(opt)) {
181         show_available_alarms();
182         exit(0);
183     }
184 
185     arg = g_strdup(opt);
186 
187     /* Reorder the array */
188     name = strtok(arg, ",");
189     while (name) {
190         for (i = 0; i < count && alarm_timers[i].name; i++) {
191             if (!strcmp(alarm_timers[i].name, name))
192                 break;
193         }
194 
195         if (i == count) {
196             fprintf(stderr, "Unknown clock %s\n", name);
197             goto next;
198         }
199 
200         if (i < cur)
201             /* Ignore */
202             goto next;
203 
204 	/* Swap */
205         tmp = alarm_timers[i];
206         alarm_timers[i] = alarm_timers[cur];
207         alarm_timers[cur] = tmp;
208 
209         cur++;
210 next:
211         name = strtok(NULL, ",");
212     }
213 
214     g_free(arg);
215 
216     if (cur) {
217         /* Disable remaining timers */
218         for (i = cur; i < count; i++)
219             alarm_timers[i].name = NULL;
220     } else {
221         show_available_alarms();
222         exit(1);
223     }
224 }
225 
226 QEMUClock *rt_clock;
227 QEMUClock *vm_clock;
228 QEMUClock *host_clock;
229 
230 static QEMUClock *qemu_clock_new(int type)
231 {
232     QEMUClock *clock;
233 
234     clock = g_malloc0(sizeof(QEMUClock));
235     clock->type = type;
236     clock->enabled = true;
237     clock->last = INT64_MIN;
238     notifier_list_init(&clock->reset_notifiers);
239     return clock;
240 }
241 
242 void qemu_clock_enable(QEMUClock *clock, bool enabled)
243 {
244     bool old = clock->enabled;
245     clock->enabled = enabled;
246     if (enabled && !old) {
247         qemu_rearm_alarm_timer(alarm_timer);
248     }
249 }
250 
251 int64_t qemu_clock_has_timers(QEMUClock *clock)
252 {
253     return !!clock->active_timers;
254 }
255 
256 int64_t qemu_clock_expired(QEMUClock *clock)
257 {
258     return (clock->active_timers &&
259             clock->active_timers->expire_time < qemu_get_clock_ns(clock));
260 }
261 
262 int64_t qemu_clock_deadline(QEMUClock *clock)
263 {
264     /* To avoid problems with overflow limit this to 2^32.  */
265     int64_t delta = INT32_MAX;
266 
267     if (clock->active_timers) {
268         delta = clock->active_timers->expire_time - qemu_get_clock_ns(clock);
269     }
270     if (delta < 0) {
271         delta = 0;
272     }
273     return delta;
274 }
275 
276 QEMUTimer *qemu_new_timer(QEMUClock *clock, int scale,
277                           QEMUTimerCB *cb, void *opaque)
278 {
279     QEMUTimer *ts;
280 
281     ts = g_malloc0(sizeof(QEMUTimer));
282     ts->clock = clock;
283     ts->cb = cb;
284     ts->opaque = opaque;
285     ts->scale = scale;
286     return ts;
287 }
288 
289 void qemu_free_timer(QEMUTimer *ts)
290 {
291     g_free(ts);
292 }
293 
294 /* stop a timer, but do not dealloc it */
295 void qemu_del_timer(QEMUTimer *ts)
296 {
297     QEMUTimer **pt, *t;
298 
299     /* NOTE: this code must be signal safe because
300        timer_expired() can be called from a signal. */
301     pt = &ts->clock->active_timers;
302     for(;;) {
303         t = *pt;
304         if (!t)
305             break;
306         if (t == ts) {
307             *pt = t->next;
308             break;
309         }
310         pt = &t->next;
311     }
312 }
313 
314 /* modify the current timer so that it will be fired when current_time
315    >= expire_time. The corresponding callback will be called. */
316 void qemu_mod_timer_ns(QEMUTimer *ts, int64_t expire_time)
317 {
318     QEMUTimer **pt, *t;
319 
320     qemu_del_timer(ts);
321 
322     /* add the timer in the sorted list */
323     /* NOTE: this code must be signal safe because
324        timer_expired() can be called from a signal. */
325     pt = &ts->clock->active_timers;
326     for(;;) {
327         t = *pt;
328         if (!timer_expired_ns(t, expire_time)) {
329             break;
330         }
331         pt = &t->next;
332     }
333     ts->expire_time = expire_time;
334     ts->next = *pt;
335     *pt = ts;
336 
337     /* Rearm if necessary  */
338     if (pt == &ts->clock->active_timers) {
339         if (!alarm_timer->pending) {
340             qemu_rearm_alarm_timer(alarm_timer);
341         }
342         /* Interrupt execution to force deadline recalculation.  */
343         qemu_clock_warp(ts->clock);
344         if (use_icount) {
345             qemu_notify_event();
346         }
347     }
348 }
349 
350 void qemu_mod_timer(QEMUTimer *ts, int64_t expire_time)
351 {
352     qemu_mod_timer_ns(ts, expire_time * ts->scale);
353 }
354 
355 bool timer_pending(QEMUTimer *ts)
356 {
357     QEMUTimer *t;
358     for (t = ts->clock->active_timers; t != NULL; t = t->next) {
359         if (t == ts) {
360             return true;
361         }
362     }
363     return false;
364 }
365 
366 bool timer_expired(QEMUTimer *timer_head, int64_t current_time)
367 {
368     return timer_expired_ns(timer_head, current_time * timer_head->scale);
369 }
370 
371 void qemu_run_timers(QEMUClock *clock)
372 {
373     QEMUTimer *ts;
374     int64_t current_time;
375 
376     if (!clock->enabled)
377         return;
378 
379     current_time = qemu_get_clock_ns(clock);
380     for(;;) {
381         ts = clock->active_timers;
382         if (!timer_expired_ns(ts, current_time)) {
383             break;
384         }
385         /* remove timer from the list before calling the callback */
386         clock->active_timers = ts->next;
387         ts->next = NULL;
388 
389         /* run the callback (the timer list can be modified) */
390         ts->cb(ts->opaque);
391     }
392 }
393 
394 int64_t qemu_get_clock_ns(QEMUClock *clock)
395 {
396     int64_t now, last;
397 
398     switch(clock->type) {
399     case QEMU_CLOCK_REALTIME:
400         return get_clock();
401     default:
402     case QEMU_CLOCK_VIRTUAL:
403         if (use_icount) {
404             return cpu_get_icount();
405         } else {
406             return cpu_get_clock();
407         }
408     case QEMU_CLOCK_HOST:
409         now = get_clock_realtime();
410         last = clock->last;
411         clock->last = now;
412         if (now < last) {
413             notifier_list_notify(&clock->reset_notifiers, &now);
414         }
415         return now;
416     }
417 }
418 
419 void qemu_register_clock_reset_notifier(QEMUClock *clock, Notifier *notifier)
420 {
421     notifier_list_add(&clock->reset_notifiers, notifier);
422 }
423 
424 void qemu_unregister_clock_reset_notifier(QEMUClock *clock, Notifier *notifier)
425 {
426     notifier_remove(notifier);
427 }
428 
429 void init_clocks(void)
430 {
431     if (!rt_clock) {
432         rt_clock = qemu_clock_new(QEMU_CLOCK_REALTIME);
433         vm_clock = qemu_clock_new(QEMU_CLOCK_VIRTUAL);
434         host_clock = qemu_clock_new(QEMU_CLOCK_HOST);
435     }
436 }
437 
438 uint64_t timer_expire_time_ns(QEMUTimer *ts)
439 {
440     return timer_pending(ts) ? ts->expire_time : -1;
441 }
442 
443 void qemu_run_all_timers(void)
444 {
445     alarm_timer->pending = false;
446 
447     /* vm time timers */
448     qemu_run_timers(vm_clock);
449     qemu_run_timers(rt_clock);
450     qemu_run_timers(host_clock);
451 
452     /* rearm timer, if not periodic */
453     if (alarm_timer->expired) {
454         alarm_timer->expired = false;
455         qemu_rearm_alarm_timer(alarm_timer);
456     }
457 }
458 
459 #ifdef _WIN32
460 static void CALLBACK host_alarm_handler(PVOID lpParam, BOOLEAN unused)
461 #else
462 static void host_alarm_handler(int host_signum)
463 #endif
464 {
465     struct qemu_alarm_timer *t = alarm_timer;
466     if (!t)
467 	return;
468 
469     t->expired = true;
470     t->pending = true;
471     qemu_notify_event();
472 }
473 
474 #if defined(__linux__)
475 
476 #include "qemu/compatfd.h"
477 
478 static int dynticks_start_timer(struct qemu_alarm_timer *t)
479 {
480     struct sigevent ev;
481     timer_t host_timer;
482     struct sigaction act;
483 
484     sigfillset(&act.sa_mask);
485     act.sa_flags = 0;
486     act.sa_handler = host_alarm_handler;
487 
488     sigaction(SIGALRM, &act, NULL);
489 
490     /*
491      * Initialize ev struct to 0 to avoid valgrind complaining
492      * about uninitialized data in timer_create call
493      */
494     memset(&ev, 0, sizeof(ev));
495     ev.sigev_value.sival_int = 0;
496     ev.sigev_notify = SIGEV_SIGNAL;
497 #ifdef CONFIG_SIGEV_THREAD_ID
498     if (qemu_signalfd_available()) {
499         ev.sigev_notify = SIGEV_THREAD_ID;
500         ev._sigev_un._tid = qemu_get_thread_id();
501     }
502 #endif /* CONFIG_SIGEV_THREAD_ID */
503     ev.sigev_signo = SIGALRM;
504 
505     if (timer_create(CLOCK_REALTIME, &ev, &host_timer)) {
506         perror("timer_create");
507         return -1;
508     }
509 
510     t->timer = host_timer;
511 
512     return 0;
513 }
514 
515 static void dynticks_stop_timer(struct qemu_alarm_timer *t)
516 {
517     timer_t host_timer = t->timer;
518 
519     timer_delete(host_timer);
520 }
521 
522 static void dynticks_rearm_timer(struct qemu_alarm_timer *t,
523                                  int64_t nearest_delta_ns)
524 {
525     timer_t host_timer = t->timer;
526     struct itimerspec timeout;
527     int64_t current_ns;
528 
529     if (nearest_delta_ns < MIN_TIMER_REARM_NS)
530         nearest_delta_ns = MIN_TIMER_REARM_NS;
531 
532     /* check whether a timer is already running */
533     if (timer_gettime(host_timer, &timeout)) {
534         perror("gettime");
535         fprintf(stderr, "Internal timer error: aborting\n");
536         exit(1);
537     }
538     current_ns = timeout.it_value.tv_sec * 1000000000LL + timeout.it_value.tv_nsec;
539     if (current_ns && current_ns <= nearest_delta_ns)
540         return;
541 
542     timeout.it_interval.tv_sec = 0;
543     timeout.it_interval.tv_nsec = 0; /* 0 for one-shot timer */
544     timeout.it_value.tv_sec =  nearest_delta_ns / 1000000000;
545     timeout.it_value.tv_nsec = nearest_delta_ns % 1000000000;
546     if (timer_settime(host_timer, 0 /* RELATIVE */, &timeout, NULL)) {
547         perror("settime");
548         fprintf(stderr, "Internal timer error: aborting\n");
549         exit(1);
550     }
551 }
552 
553 #endif /* defined(__linux__) */
554 
555 #if !defined(_WIN32)
556 
557 static int unix_start_timer(struct qemu_alarm_timer *t)
558 {
559     struct sigaction act;
560 
561     /* timer signal */
562     sigfillset(&act.sa_mask);
563     act.sa_flags = 0;
564     act.sa_handler = host_alarm_handler;
565 
566     sigaction(SIGALRM, &act, NULL);
567     return 0;
568 }
569 
570 static void unix_rearm_timer(struct qemu_alarm_timer *t,
571                              int64_t nearest_delta_ns)
572 {
573     struct itimerval itv;
574     int err;
575 
576     if (nearest_delta_ns < MIN_TIMER_REARM_NS)
577         nearest_delta_ns = MIN_TIMER_REARM_NS;
578 
579     itv.it_interval.tv_sec = 0;
580     itv.it_interval.tv_usec = 0; /* 0 for one-shot timer */
581     itv.it_value.tv_sec =  nearest_delta_ns / 1000000000;
582     itv.it_value.tv_usec = (nearest_delta_ns % 1000000000) / 1000;
583     err = setitimer(ITIMER_REAL, &itv, NULL);
584     if (err) {
585         perror("setitimer");
586         fprintf(stderr, "Internal timer error: aborting\n");
587         exit(1);
588     }
589 }
590 
591 static void unix_stop_timer(struct qemu_alarm_timer *t)
592 {
593     struct itimerval itv;
594 
595     memset(&itv, 0, sizeof(itv));
596     setitimer(ITIMER_REAL, &itv, NULL);
597 }
598 
599 #endif /* !defined(_WIN32) */
600 
601 
602 #ifdef _WIN32
603 
604 static MMRESULT mm_timer;
605 static TIMECAPS mm_tc;
606 
607 static void CALLBACK mm_alarm_handler(UINT uTimerID, UINT uMsg,
608                                       DWORD_PTR dwUser, DWORD_PTR dw1,
609                                       DWORD_PTR dw2)
610 {
611     struct qemu_alarm_timer *t = alarm_timer;
612     if (!t) {
613         return;
614     }
615     t->expired = true;
616     t->pending = true;
617     qemu_notify_event();
618 }
619 
620 static int mm_start_timer(struct qemu_alarm_timer *t)
621 {
622     timeGetDevCaps(&mm_tc, sizeof(mm_tc));
623     return 0;
624 }
625 
626 static void mm_stop_timer(struct qemu_alarm_timer *t)
627 {
628     if (mm_timer) {
629         timeKillEvent(mm_timer);
630     }
631 }
632 
633 static void mm_rearm_timer(struct qemu_alarm_timer *t, int64_t delta)
634 {
635     int64_t nearest_delta_ms = delta / 1000000;
636     if (nearest_delta_ms < mm_tc.wPeriodMin) {
637         nearest_delta_ms = mm_tc.wPeriodMin;
638     } else if (nearest_delta_ms > mm_tc.wPeriodMax) {
639         nearest_delta_ms = mm_tc.wPeriodMax;
640     }
641 
642     if (mm_timer) {
643         timeKillEvent(mm_timer);
644     }
645     mm_timer = timeSetEvent((UINT)nearest_delta_ms,
646                             mm_tc.wPeriodMin,
647                             mm_alarm_handler,
648                             (DWORD_PTR)t,
649                             TIME_ONESHOT | TIME_CALLBACK_FUNCTION);
650 
651     if (!mm_timer) {
652         fprintf(stderr, "Failed to re-arm win32 alarm timer\n");
653         timeEndPeriod(mm_tc.wPeriodMin);
654         exit(1);
655     }
656 }
657 
658 static int win32_start_timer(struct qemu_alarm_timer *t)
659 {
660     HANDLE hTimer;
661     BOOLEAN success;
662 
663     /* If you call ChangeTimerQueueTimer on a one-shot timer (its period
664        is zero) that has already expired, the timer is not updated.  Since
665        creating a new timer is relatively expensive, set a bogus one-hour
666        interval in the dynticks case.  */
667     success = CreateTimerQueueTimer(&hTimer,
668                           NULL,
669                           host_alarm_handler,
670                           t,
671                           1,
672                           3600000,
673                           WT_EXECUTEINTIMERTHREAD);
674 
675     if (!success) {
676         fprintf(stderr, "Failed to initialize win32 alarm timer: %ld\n",
677                 GetLastError());
678         return -1;
679     }
680 
681     t->timer = hTimer;
682     return 0;
683 }
684 
685 static void win32_stop_timer(struct qemu_alarm_timer *t)
686 {
687     HANDLE hTimer = t->timer;
688 
689     if (hTimer) {
690         DeleteTimerQueueTimer(NULL, hTimer, NULL);
691     }
692 }
693 
694 static void win32_rearm_timer(struct qemu_alarm_timer *t,
695                               int64_t nearest_delta_ns)
696 {
697     HANDLE hTimer = t->timer;
698     int64_t nearest_delta_ms;
699     BOOLEAN success;
700 
701     nearest_delta_ms = nearest_delta_ns / 1000000;
702     if (nearest_delta_ms < 1) {
703         nearest_delta_ms = 1;
704     }
705     /* ULONG_MAX can be 32 bit */
706     if (nearest_delta_ms > ULONG_MAX) {
707         nearest_delta_ms = ULONG_MAX;
708     }
709     success = ChangeTimerQueueTimer(NULL,
710                                     hTimer,
711                                     (unsigned long) nearest_delta_ms,
712                                     3600000);
713 
714     if (!success) {
715         fprintf(stderr, "Failed to rearm win32 alarm timer: %ld\n",
716                 GetLastError());
717         exit(-1);
718     }
719 
720 }
721 
722 #endif /* _WIN32 */
723 
724 static void quit_timers(void)
725 {
726     struct qemu_alarm_timer *t = alarm_timer;
727     alarm_timer = NULL;
728     t->stop(t);
729 }
730 
731 #ifdef CONFIG_POSIX
732 static void reinit_timers(void)
733 {
734     struct qemu_alarm_timer *t = alarm_timer;
735     t->stop(t);
736     if (t->start(t)) {
737         fprintf(stderr, "Internal timer error: aborting\n");
738         exit(1);
739     }
740     qemu_rearm_alarm_timer(t);
741 }
742 #endif /* CONFIG_POSIX */
743 
744 int init_timer_alarm(void)
745 {
746     struct qemu_alarm_timer *t = NULL;
747     int i, err = -1;
748 
749     if (alarm_timer) {
750         return 0;
751     }
752 
753     for (i = 0; alarm_timers[i].name; i++) {
754         t = &alarm_timers[i];
755 
756         err = t->start(t);
757         if (!err)
758             break;
759     }
760 
761     if (err) {
762         err = -ENOENT;
763         goto fail;
764     }
765 
766     atexit(quit_timers);
767 #ifdef CONFIG_POSIX
768     pthread_atfork(NULL, NULL, reinit_timers);
769 #endif
770     alarm_timer = t;
771     return 0;
772 
773 fail:
774     return err;
775 }
776 
777