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Invalid numbers with clock_gettime and CLOCK_PROCESS_CPUTIME_ID

I am on a 64-bit Ubuntu 12.04 system and have tried the following code:

#include <unistd.h>
#include <time.h>
#include <stdio.h>


int
main(void)
{
  struct timespec user1,user2;
  struct timespec sys1,sys2;
  double user_elapsed;
  double sys_elapsed;

  clock_gettime(CLOCK_REALTIME, &user1);
  clock_gettime(CLOCK_PROCESS_CPUTIME_ID, &sys1);
  sleep(10);
  clock_gettime(CLOCK_REALTIME, &user2);
  clock_gettime(CLOCK_PROCESS_CPUTIME_ID, &sys2);
  user_elapsed = user2.tv_sec + user2.tv_nsec/1E9;
  user_elapsed -= user1.tv_sec + user1.tv_nsec/1E9;
  printf("CLOCK_REALTIME: %f\n", user_elapsed);
  sys_elapsed = sys2.tv_sec + sys2.tv_nsec/1E9;
  sys_elapsed -= sys1.tv_sec + sys1.tv_nsec/1E9;
  printf("CLOCK_PROCESS_CPUTIME_ID: %f\n", sys_elapsed);
}

As I understand it, this should print something like

CLOCK_REALTIME: 10.000117
CLOCK_PROCESS_CPUTIME_ID: 10.001

But in my case, I get

CLOCK_REALTIME: 10.000117
CLOCK_PROCESS_CPUTIME_ID: 0.000032

Is this the right behavior? If so, how can I determine the actual seconds of sys1 and sys2?

When I change CLOCK_PROCESS_CPUTIME_ID to CLOCK_REALTIME, then I get the expected result, but that is not what I want, because we need precision.

[EDIT] Apparently, CLOCK_PROCESS_CPUTIME_ID returns the actual time that the processor spent processing. CLOCK_MONOTONIC returns the correct value. But with what accuracy?

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, , - .

, . CLOCK_REALTIME , , t20 > . - , CLOCK_MONOTONIC , , CLOCK_MONOTONIC_RAW.

   CLOCK_REALTIME
          System-wide real-time clock.  Setting this clock requires appro-
          priate privileges.

   CLOCK_MONOTONIC
          Clock that cannot be set and  represents  monotonic  time  since
          some unspecified starting point.

   CLOCK_MONOTONIC_RAW (since Linux 2.6.28; Linux-specific)
          Similar  to  CLOCK_MONOTONIC, but provides access to a raw hard-
          ware-based time that is not subject to NTP adjustments.

CLOCK_MONOTONIC NTP, CLOCK_MONOTONIC_RAW - . , , (, clock_getres()), .

#define USED_CLOCK CLOCK_MONOTONIC // CLOCK_MONOTONIC_RAW if available
#define NANOS 1000000000LL

int main(int argc, char *argv[]) {
    /* Whatever */
    struct timespec begin, current;
    long long start, elapsed, microseconds;
    /* set up start time data */
    if (clock_gettime(USED_CLOCK, &begin)) {
        /* Oops, getting clock time failed */
        exit(EXIT_FAILURE);
    }
    /* Start time in nanoseconds */
    start = begin.tv_sec*NANOS + begin.tv_nsec;

    /* Do something interesting */

    /* get elapsed time */
    if (clock_gettime(USED_CLOCK, &current)) {
        /* getting clock time failed, what now? */
        exit(EXIT_FAILURE);
    }
    /* Elapsed time in nanoseconds */
    elapsed = current.tv_sec*NANOS + current.tv_nsec - start;
    microseconds = elapsed / 1000 + (elapsed % 1000 >= 500); // round up halves

    /* Display time in microseconds or something */

    return EXIT_SUCCESS;
}
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