1256 lines
44 KiB
Plaintext
1256 lines
44 KiB
Plaintext
PEP: 418
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Title: Add a monotonic time functions
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Version: $Revision$
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Last-Modified: $Date$
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Author: Victor Stinner <victor.stinner@gmail.com>
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Status: Draft
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Type: Standards Track
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Content-Type: text/x-rst
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Created: 26-March-2012
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Python-Version: 3.3
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Abstract
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========
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Add time.monotonic() and time.get_clock_info(name) functions to Python 3.3.
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Rationale
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=========
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If a program uses the system clock to schedule events or to implement a
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timeout, it will not run events at the right moment or stop the timeout too
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early or too late when the system clock is set manually or adjusted
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automatically by NTP. A monotonic clock should be used instead to not be
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affected by system clock updates.
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Clocks:
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* time.time(): system clock
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* time.monotonic(): monotonic clock
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Functions
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=========
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To fulfill the use cases, the functions' properties are:
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* time.time(): system clock, "wall clock".
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* time.monotonic(): monotonic clock
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* time.get_clock_info(name): get information on the specified time function
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time.time()
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-----------
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The system time is the "wall clock". It can be set manually by the
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system administrator or automatically by a NTP daemon. It can jump
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backward and forward. It is not monotonic.
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It is available on all platforms and cannot fail.
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Pseudo-code [#pseudo]_::
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if os.name == "nt":
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def time():
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return _time.GetSystemTimeAsFileTime()
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else:
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def time():
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if hasattr(time, "clock_gettime"):
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try:
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# resolution = 1 nanosecond
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return time.clock_gettime(time.CLOCK_REALTIME)
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except OSError:
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# CLOCK_REALTIME is not supported (unlikely)
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pass
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if hasattr(_time, "gettimeofday"):
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try:
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# resolution = 1 microsecond
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return _time.gettimeofday()
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except OSError:
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# gettimeofday() should not fail
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pass
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if hasattr(_time, "ftime"):
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# resolution = 1 millisecond
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return _time.ftime()
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else:
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# resolution = 1 second
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return _time.time()
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time.monotonic()
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----------------
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Monotonic clock, cannot go backward. It is not affected by system clock
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updates. The reference point of the returned value is undefined so only the
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difference between consecutive calls is valid.
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Availability: Windows, Mac OS X, Unix.
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Pseudo-code [#pseudo]_::
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if os.name == 'nt':
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# GetTickCount64() requires Windows Vista, Server 2008 or later
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if hasattr(time, '_GetTickCount64'):
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def monotonic():
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return _time.GetTickCount64() * 1e-3
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else:
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def monotonic():
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ticks = _time.GetTickCount()
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if ticks < monotonic.last:
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# Integer overflow detected
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monotonic.delta += 2**32
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monotonic.last = ticks
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return (ticks + monotonic.delta) * 1e-3
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monotonic.last = 0
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monotonic.delta = 0
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elif os.name == 'mac':
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def monotonic():
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if monotonic.factor is None:
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factor = _time.mach_timebase_info()
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monotonic.factor = timebase[0] / timebase[1]
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return _time.mach_absolute_time() * monotonic.factor
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monotonic.factor = None
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elif hasattr(time, "clock_gettime"):
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def monotonic():
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if monotonic.use_clock_highres:
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try:
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time.clock_gettime(time.CLOCK_HIGHRES)
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except OSError:
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monotonic.use_clock_highres = False
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return time.clock_gettime(time.CLOCK_MONOTONIC)
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monotonic.use_clock_highres = (hasattr(time, 'clock_gettime')
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and hasattr(time, 'CLOCK_HIGHRES'))
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On Windows, QueryPerformanceCounter() is not used even though it has a better
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accuracy than GetTickCount(). It is not reliable and has too many issues.
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.. note::
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time.monotonic() detects GetTickCount() integer overflow (32 bits, roll-over
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after 49.7 days): it increases a delta by 2\ :sup:`32` each time than an
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overflow is detected. The delta is stored in the process-local state and so
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the value of time.monotonic() may be different in two Python processes
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running for more than 49 days.
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time.sleep()
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------------
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Suspend execution for the given number of seconds. The actual suspension time
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may be less than that requested because any caught signal will terminate the
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time.sleep() following execution of that signal's catching routine. Also, the
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suspension time may be longer than requested by an arbitrary amount because of
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the scheduling of other activity in the system.
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Pseudo-code [#pseudo]_::
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try:
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import select
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except ImportError:
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has_select = False
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else:
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has_select = hasattr(select, "select")
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if has_select:
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def sleep(seconds):
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return select.select([], [], [], seconds)
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elif hasattr(_time, "delay"):
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def sleep(seconds):
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milliseconds = int(seconds * 1000)
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_time.delay(milliseconds)
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elif os.name == "nt":
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def sleep(seconds):
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milliseconds = int(seconds * 1000)
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win32api.ResetEvent(hInterruptEvent);
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win32api.WaitForSingleObject(sleep.sigint_event, milliseconds)
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sleep.sigint_event = win32api.CreateEvent(NULL, TRUE, FALSE, FALSE)
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# SetEvent(sleep.sigint_event) will be called by the signal handler of SIGINT
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elif os.name == "os2":
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def sleep(seconds):
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milliseconds = int(seconds * 1000)
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DosSleep(milliseconds)
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else:
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def sleep(seconds):
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seconds = int(seconds)
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_time.sleep(seconds)
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time.clock()
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------------
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On Unix, return the current processor time as a floating point number expressed
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in seconds. The precision, and in fact the very definition of the meaning of
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"processor time", depends on that of the C function of the same name, but in any
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case, this is the function to use for benchmarking Python or timing algorithms.
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On Windows, this function returns wall-clock seconds elapsed since the first
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call to this function, as a floating point number, based on the Win32 function
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``QueryPerformanceCounter()``. The resolution is typically better than one
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microsecond.
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Pseudo-code [#pseudo]_::
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if os.name == 'nt':
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def clock():
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if clock.use_performance_counter:
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if clock.perf_frequency is None:
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try:
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clock.perf_frequency = float(_time.QueryPerformanceFrequency())
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except OSError:
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# QueryPerformanceFrequency() fails if the installed
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# hardware does not support a high-resolution performance
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# counter
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clock.use_performance_counter = False
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else:
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return _time.QueryPerformanceCounter() / clock.perf_frequency
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else:
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return _time.QueryPerformanceCounter() / clock.perf_frequency
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return _time.clock()
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clock.use_performance_counter = True
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clock.perf_frequency = None
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else:
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clock = _time.clock
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time.get_clock_info(name)
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-------------------------
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Get information on the specified clock. Supported clocks:
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* "clock": time.clock()
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* "monotonic": time.monotonic()
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* "time": time.time()
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Return a dictionary with the following keys:
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* Mandatory keys:
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* "function" (str): name of the underlying operating system function.
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Examples: "QueryPerformanceCounter()", "clock_gettime(CLOCK_REALTIME)".
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* "resolution" (float): resolution in seconds of the clock
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* "is_monotonic" (bool): True if the clock cannot go backward
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* Optional keys:
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* "accuracy" (float): accuracy in seconds of the clock
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* "is_adjusted" (bool): True if the clock can be adjusted (e.g. by a NTP
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daemon)
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Definitions
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===========
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Resolution
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----------
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The resolution is the smallest difference between two timestamps supported by
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the format used by the clock. For example, clock_gettime() uses a timespec
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structure which has two integer fields, tv_sec and tv_nsec, so the resolution
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is 1 nanosecond.
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Accuracy
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--------
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The accuracy is the effective smallest difference between two timestamps of the
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clock. It does not reflect the stability the clock rate. For example,
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QueryPerformanceCounter() has a good accuracy but is known to not have a steady
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rate.
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Monotonic
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---------
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A monotonic clock cannot go backward. It may give the same value for two close
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reads depending on the clock resolution.
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On Linux, CLOCK_MONOTONIC is a monotonic clock but its rate is adjusted by NTP.
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Steady
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------
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A steady clock is a clock with a stable rate.
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The `C++ Timeout Specification
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<http://www.open-std.org/jtc1/sc22/wg21/docs/papers/2010/n3128.html>`_ uses the
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following definition: "Objects of class steady_clock represent clocks for which
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values of time_point advance at a steady rate relative to real time. That is,
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the clock may not be adjusted."
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Hardware clocks
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===============
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* HPET: An HPET chip consists of a 64-bit up-counter (main counter)
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counting at least at 10 MHz and a set of up to 256 comparators (at
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least 3). Each HPET can have up to 32 timers.
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* TSC (Time Stamp Counter): Historically, the TSC increased with every internal
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processor clock cycle, but now the rate is usually constant (even if the
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processor changes frequency) and usually equals the maximum processor
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frequency. Multiple cores having different TSC values. Hibernation of system
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will reset TSC value. The RDTSC instruction can be used to read this counter.
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CPU frequency scaling for power saving.
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* ACPI PMTMR (power management timer): ACPI 24-bit timer with a frequency
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of 3.5 MHz (3,579,545 Hz). HPET can cause around 3 seconds of drift per day.
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* Cyclone: The Cyclone timer uses a 32-bit counter on IBM Extended
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X-Architecture (EXA) chipsets which include computers that use the
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IBM "Summit" series chipsets (ex: x440). This is available in IA32
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and IA64 architectures.
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* PIT (programmable interrupt timer): Intel 8253/8254 chipsets with a
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configurable frequency in range 18.2 Hz - 1.2 MHz. It is a 16-bit counter.
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* RTC (Real-time clock). Most RTCs use a crystal oscillator with a frequency of
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32,768 Hz
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NTP adjustment
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==============
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NTP has diffent methods to adjust a clock:
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* "slewing": change the clock frequency to be slightly faster or slower
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(which is done with adjtime()). Since the slew rate is limited to 0.5 ms/s,
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each second of adjustment requires an amortization interval of 2000 s. Thus,
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an adjustment of many seconds can take hours or days to amortize.
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* "stepping": jump by a large amount in a single discrete step (which is done
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with settimeofday())
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By default, the time is slewed if the offset is less than 128 ms, or stepped
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otherwise.
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Slewing is generally desirable (i.e. we should use CLOCK_MONOTONIC, not
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CLOCK_MONOTONIC_RAW) if one wishes to measure "real" time (and not a time-like
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object like CPU cycles). This is because the clock on the other end of the NTP
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connection from you is probably better at keeping time: hopefully that thirty
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five thousand dollars of Cesium timekeeping goodness is doing something better
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than your PC's $3 quartz crystal, after all.
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Get more detail in the `documentation of the NTP daemon
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<http://doc.ntp.org/4.1.2/ntpd.htm>`_.
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Operating system clocks
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=======================
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Monotonic clocks
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----------------
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========================= ========== =============== ============= ===============
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Name Resolution Adjusted Include sleep Include suspend
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========================= ========== =============== ============= ===============
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gethrtime 1 ns No Yes Yes
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CLOCK_HIGHRES 1 ns No Yes ?
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CLOCK_MONOTONIC 1 ns Slewed on Linux Yes No
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CLOCK_MONOTONIC_RAW 1 ns No Yes No
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mach_absolute_time() 1 ns No Yes No
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QueryPerformanceCounter() \- No Yes ?
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GetTickCount[64]() 1 ms No Yes Yes
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timeGetTime() 1 ms No Yes ?
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========================= ========== =============== ============= ===============
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Examples of clock accuracy on x86_64:
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========================= ================ ===============
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Name Operating system Accuracy
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========================= ================ ===============
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CLOCK_MONOTONIC_RAW Linux 3.2 1 ns
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CLOCK_MONOTONIC Linux 3.2 1 ns
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CLOCK_HIGHRES SunOS 5.11 2 ns
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CLOCK_MONOTONIC SunOS 5.11 2 ns
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QueryPerformanceCounter Windows Seven 10 ns
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CLOCK_MONOTONIC FreeBSD 8.2 11 ns
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CLOCK_MONOTONIC OpenBSD 5.0 10 ms
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GetTickCount Windows Seven 15.6 ms
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========================= ================ ===============
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For CLOCK_MONOTONIC and CLOCK_MONOTONIC_RAW, the accuracy of this table is the
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result of clock_getres(). It looks like Linux does not implement
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clock_getres() and always return 1 nanosecond.
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mach_absolute_time
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^^^^^^^^^^^^^^^^^^
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Mac OS X provides a monotonic clock: mach_absolute_time(). It is
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based on absolute elapsed time delta since system boot. It is not
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adjusted and cannot be set.
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mach_timebase_info() gives a fraction to convert the clock value to a
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number of nanoseconds. According to the documentation (`Technical Q&A
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QA1398 <https://developer.apple.com/library/mac/#qa/qa1398/>`_),
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mach_timebase_info() is always equal to one and never fails, even
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if the function may fail according to its prototype.
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mach_absolute_time() stops during a sleep on a PowerPC CPU, but not on
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an Intel CPU: `Different behaviour of mach_absolute_time() on i386/ppc
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<http://lists.apple.com/archives/PerfOptimization-dev/2006/Jul/msg00024.html>`_.
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mach_absolute_time() has a resolution of 1 nanosecond.
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CLOCK_MONOTONIC, CLOCK_MONOTONIC_RAW
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^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
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CLOCK_MONOTONIC and CLOCK_MONOTONIC_RAW represent monotonic time since
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some unspecified starting point. They cannot be set.
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Documentation: refer to the manual page of your operating system.
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Examples:
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* `FreeBSD clock_gettime() manual page
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<http://www.freebsd.org/cgi/man.cgi?query=clock_gettime>`_
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* `Linux clock_gettime() manual page
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<http://linux.die.net/man/3/clock_gettime>`_
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CLOCK_MONOTONIC is available at least on the following operating systems:
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* DragonFly BSD, FreeBSD >= 5.0, OpenBSD, NetBSD
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* Linux
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* Solaris
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The following operating systems don't support CLOCK_MONOTONIC:
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* GNU/Hurd (see `open issues/ clock_gettime
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<http://www.gnu.org/software/hurd/open_issues/clock_gettime.html>`_)
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* Mac OS X
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* Windows
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On Linux, NTP may adjust the CLOCK_MONOTONIC rate (slewed), but it cannot
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jump backward.
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CLOCK_MONOTONIC_RAW is specific to Linux. It is similar to CLOCK_MONOTONIC, but
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provides access to a raw hardware-based time that is not subject to NTP
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adjustments. CLOCK_MONOTONIC_RAW requires Linux 2.6.28 or later.
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CLOCK_MONOTONIC stops while the machine is suspended.
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clock_gettime() fails if the system does not support the specified
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clock, even if the standard C library supports it. For example,
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CLOCK_MONOTONIC_RAW requires a kernel version 2.6.28 or later.
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clock_getres() gives the clock resolution. It is 1 nanosecond on
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Linux.
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.. note::
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clock_gettime() requires to link the program against the rt
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(real-time) library.
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.. note::
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Linux provides also CLOCK_MONOTONIC_COARSE since Linux 2.6.32 which has less
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accurate than CLOCK_MONOTONIC but is faster.
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Windows: QueryPerformanceCounter
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^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
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|
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High-resolution performance counter. It is monotonic.
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QueryPerformanceFrequency() gives its frequency.
|
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|
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It has a much higher resolution, but has lower long term accuracy than
|
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GetTickCount() and timeGetTime() clocks. For example, it will drift
|
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compared to the low precision clocks.
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|
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Documentation:
|
||
|
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* `MSDN: QueryPerformanceCounter() documentation
|
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<http://msdn.microsoft.com/en-us/library/windows/desktop/ms644904%28v=vs.85%29.aspx>`_
|
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* `MSDN: QueryPerformanceFrequency() documentation
|
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<http://msdn.microsoft.com/en-us/library/windows/desktop/ms644905%28v=vs.85%29.aspx>`_
|
||
|
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Hardware clocks used by QueryPerformanceCounter:
|
||
|
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* Windows XP: RDTSC instruction of Intel processors, the clock
|
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frequency is the frequency of the processor (between 200 MHz and 3
|
||
GHz, usually greater than 1 GHz nowadays).
|
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* Windows 2000: ACPI power management timer, frequency = 3,549,545 Hz.
|
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It can be forced through the "/usepmtimer" flag in boot.ini.
|
||
|
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.. * Windows 95/98: 8245 PIT chipset, frequency = 1,193,181 Hz
|
||
|
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QueryPerformanceFrequency() should only be called once: the frequency
|
||
will not change while the system is running. It fails if the
|
||
installed hardware does not support a high-resolution performance
|
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counter.
|
||
|
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QueryPerformanceCounter() cannot be adjusted:
|
||
`SetSystemTimeAdjustment()
|
||
<http://msdn.microsoft.com/en-us/library/windows/desktop/ms724943(v=vs.85).aspx>`_
|
||
only adjusts the system time.
|
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|
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Bugs:
|
||
|
||
* The performance counter value may unexpectedly leap forward because
|
||
of a hardware bug, see `KB274323`_.
|
||
* On VirtualBox, QueryPerformanceCounter() does not increment the high
|
||
part every time the low part overflows, see `Monotonic timers
|
||
<http://code-factor.blogspot.fr/2009/11/monotonic-timers.html>`_
|
||
(2009).
|
||
* VirtualBox had a bug in its HPET virtualized device:
|
||
QueryPerformanceCounter() did jump forward by approx. 42 seconds (`issue
|
||
#8707 <https://www.virtualbox.org/ticket/8707>`_).
|
||
* Windows XP had a bug (see `KB896256`_): on a multiprocessor
|
||
computer, QueryPerformanceCounter() returned a different value for
|
||
each processor. The bug was fixed in Windows XP SP2.
|
||
* Issues with processor with variable frequency: the frequency is changed
|
||
depending on the workload to reduce memory consumption.
|
||
* Chromium don't use QueryPerformanceCounter() on Athlon X2 CPUs (model 15)
|
||
because "QueryPerformanceCounter is unreliable" (see base/time_win.cc in
|
||
Chromium source code)
|
||
|
||
.. _KB896256: http://support.microsoft.com/?id=896256
|
||
.. _KB274323: http://support.microsoft.com/?id=274323
|
||
|
||
|
||
Windows: GetTickCount(), GetTickCount64()
|
||
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
|
||
|
||
GetTickCount() and GetTickCount64() are monotonic, cannot fail and are
|
||
not adjusted by SetSystemTimeAdjustment(). MSDN documentation:
|
||
`GetTickCount()
|
||
<http://msdn.microsoft.com/en-us/library/windows/desktop/ms724408(v=vs.85).aspx>`_,
|
||
`GetTickCount64()
|
||
<http://msdn.microsoft.com/en-us/library/windows/desktop/ms724411(v=vs.85).aspx>`_.
|
||
|
||
The elapsed time retrieved by GetTickCount() or GetTickCount64()
|
||
includes time the system spends in sleep or hibernation.
|
||
|
||
GetTickCount64() was added to Windows Vista and Windows Server 2008.
|
||
|
||
The clock resolution is 1 millisecond. Its accuracy is usually around
|
||
15 ms. It is possible to improve the accuracy using the `undocumented
|
||
NtSetTimerResolution() function
|
||
<http://undocumented.ntinternals.net/UserMode/Undocumented%20Functions/Time/NtSetTimerResolution.html>`_.
|
||
There are applications using this undocumented function, example:
|
||
`Timer Resolution <http://www.lucashale.com/timer-resolution/>`_.
|
||
|
||
WaitForSingleObject() use the same timer than GetTickCount() with the same
|
||
resolution.
|
||
|
||
GetTickCount() has an accuracy of 55 ms on Windows 9x.
|
||
|
||
|
||
Windows: timeGetTime
|
||
^^^^^^^^^^^^^^^^^^^^
|
||
|
||
The timeGetTime function retrieves the system time, in milliseconds.
|
||
The system time is the time elapsed since Windows was started. Read
|
||
the `timeGetTime() documentation
|
||
<http://msdn.microsoft.com/en-us/library/windows/desktop/dd757629(v=vs.85).aspx>`_.
|
||
|
||
The return type of timeGetTime() is a 32-bit unsigned integer. As
|
||
GetTickCount(), timeGetTime() rolls over after 2^32 milliseconds (49.7
|
||
days).
|
||
|
||
The elapsed time retrieved by timeGetTime() includes time the system spends in
|
||
sleep.
|
||
|
||
The default precision of the timeGetTime function can be five
|
||
milliseconds or more, depending on the machine.
|
||
|
||
timeBeginPeriod() can be used to increase the precision of timeGetTime() up to
|
||
1 millisecond, but it negatively affects power consumption. Calling
|
||
timeBeginPeriod() also affects the granularity of some other timing calls, such
|
||
as CreateWaitableTimer(), WaitForSingleObject() and Sleep().
|
||
|
||
.. note::
|
||
|
||
timeGetTime() and timeBeginPeriod() are part the Windows multimedia
|
||
library and so require to link the program against winmm or to
|
||
dynamically load the library.
|
||
|
||
|
||
Solaris: CLOCK_HIGHRES
|
||
^^^^^^^^^^^^^^^^^^^^^^
|
||
|
||
The Solaris OS has a CLOCK_HIGHRES timer that attempts to use an
|
||
optimal hardware source, and may give close to nanosecond resolution.
|
||
CLOCK_HIGHRES is the nonadjustable, high-resolution clock. For timers
|
||
created with a clockid_t value of CLOCK_HIGHRES, the system will
|
||
attempt to use an optimal hardware source.
|
||
|
||
Solaris: gethrtime
|
||
^^^^^^^^^^^^^^^^^^
|
||
|
||
The gethrtime() function returns the current high-resolution real
|
||
time. Time is expressed as nanoseconds since some arbitrary time in
|
||
the past; it is not correlated in any way to the time of day, and thus
|
||
is not subject to resetting or drifting by way of adjtime() or
|
||
settimeofday(). The hires timer is ideally suited to performance
|
||
measurement tasks, where cheap, accurate interval timing is required.
|
||
|
||
The linearity of gethrtime() is not preserved accross cpr
|
||
suspend-resume cycle (`Bug 4272663
|
||
<http://wesunsolve.net/bugid/id/4272663>`_).
|
||
|
||
Read the `gethrtime() manual page of Solaris 11
|
||
<http://docs.oracle.com/cd/E23824_01/html/821-1465/gethrtime-3c.html#scrolltoc>`_.
|
||
|
||
On Solaris, gethrtime() is the same as clock_gettime(CLOCK_MONOTONIC).
|
||
|
||
|
||
System time clocks
|
||
------------------
|
||
|
||
========================= ===============
|
||
Name Resolution
|
||
========================= ===============
|
||
CLOCK_REALTIME 1 ns
|
||
GetSystemTimeAsFileTime 100 ns
|
||
gettimeofday() 1 µs
|
||
ftime() 1 ms
|
||
time() 1 sec
|
||
========================= ===============
|
||
|
||
Examples of clock accuracy on x86_64:
|
||
|
||
========================= ================ ===============
|
||
Name Operating system Accuracy
|
||
========================= ================ ===============
|
||
CLOCK_REALTIME Linux 3.2 1 ns
|
||
CLOCK_REALTIME FreeBSD 8.2 11 ns
|
||
CLOCK_REALTIME SunOS 5.11 10 ms
|
||
CLOCK_REALTIME OpenBSD 5.0 10 ms
|
||
GetSystemTimeAsFileTime Windows Seven 15.6 ms
|
||
========================= ================ ===============
|
||
|
||
For CLOCK_REALTIME, the accuracy of this table is the result of clock_getres().
|
||
It looks like Linux does not implement clock_getres() and always return 1
|
||
nanosecond.
|
||
|
||
.. note::
|
||
|
||
Linux provides also CLOCK_REALTIME_COARSE since Linux 2.6.32 which has less
|
||
accurate than CLOCK_REALTIME but is faster.
|
||
|
||
|
||
Windows: GetSystemTimeAsFileTime
|
||
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
|
||
|
||
The system time can be read using GetSystemTimeAsFileTime(), ftime()
|
||
and time().
|
||
|
||
The system time resolution can be read using
|
||
GetSystemTimeAdjustment(). The accuracy is usually between 1
|
||
millisecond and 15 milliseconds. Resolution:
|
||
|
||
* GetSystemTimeAsFileTime(): 100 nanoseconds
|
||
* ftime(): 1 millisecond
|
||
* time(): 1 second
|
||
|
||
Read the `GetSystemTimeAsFileTime() documentation
|
||
<http://msdn.microsoft.com/en-us/library/windows/desktop/ms724397(v=vs.85).aspx>`_.
|
||
|
||
The system time can be set using SetSystemTime().
|
||
|
||
System time on UNIX
|
||
^^^^^^^^^^^^^^^^^^^
|
||
|
||
gettimeofday(), ftime(), time() and clock_gettime(CLOCK_REALTIME)
|
||
return the system clock.
|
||
|
||
Resolution:
|
||
|
||
* clock_gettime(): clock_getres(CLOCK_REALTIME)
|
||
* gettimeofday(): 1 microsecond
|
||
* ftime(): 1 millisecond
|
||
* time(): 1 second
|
||
|
||
The system time can be set using settimeofday() or
|
||
clock_settime(CLOCK_REALTIME).
|
||
|
||
|
||
Process time
|
||
------------
|
||
|
||
The process time cannot be set. It It is not monotonic: the clocks stop while the
|
||
process is idle.
|
||
|
||
========================= ===============
|
||
Name Resolution
|
||
========================= ===============
|
||
GetProcessTimes() 100 ns
|
||
CLOCK_PROCESS_CPUTIME_ID 1 ns
|
||
clock() \-
|
||
========================= ===============
|
||
|
||
Examples of clock accuracy on x86_64:
|
||
|
||
========================= ================ ===============
|
||
Name Operating system Accuracy
|
||
========================= ================ ===============
|
||
CLOCK_PROCESS_CPUTIME_ID Linux 3.2 1 ns
|
||
clock() Linux 3.2 1 µs
|
||
clock() SunOS 5.11 1 µs
|
||
clock() FreeBSD 8.2 7.8 ms
|
||
clock() OpenBSD 5.0 10 ms
|
||
GetProcessTimes() Windows Seven 15.6 ms
|
||
========================= ================ ===============
|
||
|
||
The accuracy of clock() in this table is the result of 1 / CLOCKS_PER_SEC.
|
||
For CLOCK_PROCESS_CPUTIME_ID, the accuracy of this table is the result of
|
||
clock_getres(). It looks like Linux does not implement clock_getres() and
|
||
always return 1 nanosecond. For GetProcessTimes(), the accuracy is read using
|
||
GetSystemTimeAdjustment().
|
||
|
||
|
||
Functions
|
||
^^^^^^^^^
|
||
|
||
* Windows: GetProcessTimes()
|
||
* clock_gettime(CLOCK_PROCESS_CPUTIME_ID): High-resolution per-process
|
||
timer from the CPU.
|
||
* clock():
|
||
|
||
* Windows: The elapsed wall-clock time since the start of the
|
||
process (elapsed time in seconds times CLOCKS_PER_SEC). It can
|
||
fail.
|
||
* UNIX: returns an approximation of processor time used by the
|
||
program.
|
||
|
||
* times()
|
||
* getrusage(): ru_utime and ru_stime fields
|
||
|
||
Resolution:
|
||
|
||
* clock() rate is CLOCKS_PER_SEC. It was called CLK_TCK in Microsoft
|
||
C before 6.0.
|
||
* The clock resolution can be read using clock_getres().
|
||
* GetProcessTimes(): call GetSystemTimeAdjustment().
|
||
|
||
|
||
Thread time
|
||
-----------
|
||
|
||
The thread time cannot be set. It is not monotonic: the clocks stop while the
|
||
thread is idle.
|
||
|
||
========================= ===============
|
||
Name Resolution
|
||
========================= ===============
|
||
GetThreadTimes() 100 ns
|
||
CLOCK_THREAD_CPUTIME_ID 1 ns
|
||
========================= ===============
|
||
|
||
Examples of clock accuracy on x86_64:
|
||
|
||
========================= ================ ===============
|
||
Name Operating system Accuracy
|
||
========================= ================ ===============
|
||
CLOCK_THREAD_CPUTIME_ID Linux 3.2 1 ns
|
||
CLOCK_THREAD_CPUTIME_ID FreeBSD 8.2 1 µs
|
||
GetThreadTimes() Windows Seven 15.6 ms
|
||
========================= ================ ===============
|
||
|
||
For CLOCK_THREAD_CPUTIME_ID, the accuracy of this table is the result of
|
||
clock_getres(). It looks like Linux does not implement clock_getres() and
|
||
always return 1 nanosecond. For GetThreadTimes(), the accuracy is read using
|
||
GetSystemTimeAdjustment().
|
||
|
||
Functions
|
||
^^^^^^^^^
|
||
|
||
* Windows: GetThreadTimes()
|
||
* clock_gettime(CLOCK_THREAD_CPUTIME_ID): Thread-specific CPU-time
|
||
clock.
|
||
|
||
Resolution:
|
||
|
||
* CLOCK_THREAD_CPUTIME_ID: call clock_getres().
|
||
* GetThreadTimes(): call GetSystemTimeAdjustment()
|
||
|
||
See also pthread_getcpuclockid().
|
||
|
||
|
||
Windows: QueryUnbiasedInterruptTime
|
||
-----------------------------------
|
||
|
||
Gets the current unbiased interrupt time from the biased interrupt
|
||
time and the current sleep bias amount. This time is not affected by
|
||
power management sleep transitions.
|
||
|
||
The elapsed time retrieved by the QueryUnbiasedInterruptTime function
|
||
includes only time that the system spends in the working state.
|
||
QueryUnbiasedInterruptTime() is not monotonic.
|
||
|
||
QueryUnbiasedInterruptTime() was introduced in Windows 7.
|
||
|
||
|
||
Linux timers
|
||
------------
|
||
|
||
There were 4 implementations of the time in the Linux kernel: UTIME
|
||
(1996), timer wheel (1997), HRT (2001) and hrtimers (2007). The
|
||
latter is the result of the "high-res-timers" project started by
|
||
George Anzinger in 2001, with contributions by Thomas Gleixner and
|
||
Douglas Niehaus. hrtimers implementation was merged into Linux
|
||
2.6.21, released in 2007.
|
||
|
||
hrtimers supports various clock sources. It sets a priority to each
|
||
source to decide which one will be used.
|
||
|
||
* TSC (Time Stamp Counter): Internal processor clock incremented at
|
||
each processor cycle. Its frequency is the processor frequency and
|
||
so usually higher than 1 GHz. Its priority is 300 by default, but
|
||
falls to 0 if the processor frequency changes and the counter
|
||
becomes unstable.
|
||
* HPET: An HPET chip consists of a 64-bit up-counter (main counter)
|
||
counting at least at 10 MHz and a set of up to 256 comparators (at
|
||
least 3). Each HPET can have up to 32 timers.
|
||
* PIT (programmable interrupt timer): Intel 8253/8254 chipsets with a
|
||
configurable frequency in range 18.2 Hz - 1.2 MHz. Linux uses the
|
||
frequency 1,193,181.8 Hz. It is a 16-bit counter.
|
||
* PMTMR (power management timer): ACPI 24-bit timer with a frequency
|
||
of 3.5 MHz (3,579,545 Hz). Its priority is 200 by default, but
|
||
changes to 110 if the chipset is broken and need a software
|
||
workaround. HPET can cause around 3 seconds of drift per day.
|
||
* Cyclone: The Cyclone timer uses a 32-bit counter on IBM Extended
|
||
X-Architecture (EXA) chipsets which include computers that use the
|
||
IBM "Summit" series chipsets (ex: x440). This is available in IA32
|
||
and IA64 architectures.
|
||
|
||
High-resolution timers are not supported on all hardware
|
||
architectures. They are at least provided on x86/x86_64, ARM and
|
||
PowerPC.
|
||
|
||
The list of available clock sources can be read in
|
||
/sys/devices/system/clocksource/clocksource0/available_clocksource.
|
||
It is possible to force a clocksource at runtime by writing its name
|
||
into /sys/devices/system/clocksource/clocksource0/current_clocksource.
|
||
/proc/timer_list contains the list of all hardware timers.
|
||
|
||
Read also the `time(7) manual page
|
||
<http://www.kernel.org/doc/man-pages/online/pages/man7/time.7.html>`_:
|
||
"overview of time and timers".
|
||
|
||
FreeBSD timers
|
||
--------------
|
||
|
||
The sysctl program can be used to change the timecounter. For example::
|
||
|
||
# sysctl kern.timecounter.hardware="ACPI-fast"
|
||
kern.timecounter.hardware: HPET -> ACPI-fast
|
||
|
||
|
||
Sleep, suspend and monotonic time
|
||
=================================
|
||
|
||
Linux
|
||
-----
|
||
|
||
sleep() is not affected by system clock update.
|
||
|
||
On Linux, CLOCK_MONOTONIC and CLOCK_MONOTONIC_RAW includes time the system
|
||
spends in sleep; but it does not include time spent in hibernation (ACPI S3
|
||
mode). If the system clock jumps backward, CLOCK_MONOTONIC and
|
||
CLOCK_MONOTONIC_RAW are not affected.
|
||
|
||
Linux 2.6.39 and glibc 2.14 introduces a new clock: CLOCK_BOOTTIME.
|
||
CLOCK_BOOTTIME is idential to CLOCK_MONOTONIC, except it also includes any time
|
||
spent in suspend. Read also `Waking systems from suspend
|
||
<http://lwn.net/Articles/429925/>`_ (March, 2011).
|
||
|
||
Other operating systems
|
||
-----------------------
|
||
|
||
On Windows, GetTickCount() and GetTickCount64() include time the system
|
||
spends in sleep; sleep() is not affected by system clock update.
|
||
|
||
On FreeBSD 8, CLOCK_MONOTONIC include time the system spends in sleep; sleep()
|
||
is not affected by system clock update.
|
||
|
||
On OpenIndiana, CLOCK_MONOTONIC include time the system spends in sleep;
|
||
sleep() is not affected by system clock update.
|
||
|
||
On Mac OS X, mach_absolute_time() include time the system spends in sleep;
|
||
sleep() is not affected by system clock update. Sleep is interrupted during
|
||
suspend.
|
||
|
||
|
||
Sleeping
|
||
========
|
||
|
||
Sleep can be interrupted by a signal: the function fails with EINTR.
|
||
|
||
======================== ==========
|
||
Name Resolution
|
||
======================== ==========
|
||
nanosleep() 1 ns
|
||
clock_nanosleep() 1 ns
|
||
usleep() 1 µs
|
||
delay() 1 µs
|
||
sleep() 1 sec
|
||
======================== ==========
|
||
|
||
Other functions:
|
||
|
||
======================== ==========
|
||
Name Resolution
|
||
======================== ==========
|
||
sigtimedwait() 1 ns
|
||
pthread_cond_timedwait() 1 ns
|
||
sem_timedwait() 1 ns
|
||
select() 1 µs
|
||
epoll() 1 ms
|
||
poll() 1 ms
|
||
WaitForSingleObject() 1 ms
|
||
======================== ==========
|
||
|
||
Classic functions
|
||
-----------------
|
||
|
||
* sleep(seconds)
|
||
* usleep(microseconds)
|
||
* nanosleep(nanoseconds, remaining)
|
||
`Linux manpage
|
||
<http://www.kernel.org/doc/man-pages/online/pages/man2/nanosleep.2.html>`_
|
||
* delay(milliseconds)
|
||
|
||
clock_nanosleep
|
||
---------------
|
||
|
||
clock_nanosleep(clock_id, flags, nanoseconds, remaining):
|
||
`Linux manpage
|
||
<http://www.kernel.org/doc/man-pages/online/pages/man2/clock_nanosleep.2.html>`_.
|
||
|
||
If flags is TIMER_ABSTIME, then request is interpreted as an absolute
|
||
time as measured by the clock, clock_id. If request is less than or
|
||
equal to the current value of the clock, then clock_nanosleep() returns
|
||
immediately without suspending the calling thread.
|
||
|
||
POSIX.1 specifies that changing the value of the CLOCK_REALTIME clock via
|
||
clock_settime(2) shall have no effect on a thread that is blocked on a relative
|
||
clock_nanosleep().
|
||
|
||
select()
|
||
--------
|
||
|
||
select(nfds, readfds, writefds, exceptfs, timeout).
|
||
|
||
Since Linux 2.6.28, select() uses high-resolution timers to handle the timeout.
|
||
A process has a "slack" attribute to configure the accuracy of the timeout, the
|
||
default slack is 50 microseconds. Before Linux 2.6.28, timeouts for select()
|
||
were handled by the main timing subsystem at a jiffy-level resolution. Read
|
||
also `High- (but not too high-) resolution timeouts
|
||
<http://lwn.net/Articles/296578/>`_ and `Timer slack
|
||
<http://lwn.net/Articles/369549/>`_.
|
||
|
||
|
||
Other functions
|
||
---------------
|
||
|
||
* poll(), epoll()
|
||
* sigtimedwait(). POSIX: "If the Monotonic Clock option is supported, the
|
||
CLOCK_MONOTONIC clock shall be used to measure the time interval specified
|
||
by the timeout argument."
|
||
* pthread_cond_timedwait(), pthread_condattr_setclock(). "The default value of
|
||
the clock attribute shall refer to the system clock."
|
||
* sem_timedwait(): "If the Timers option is supported, the timeout shall be
|
||
based on the CLOCK_REALTIME clock. If the Timers option is not supported,
|
||
the timeout shall be based on the system clock as returned by the time()
|
||
function. The resolution of the timeout shall be the resolution of the clock
|
||
on which it is based."
|
||
* WaitForSingleObject(): use the same timer than GetTickCount() with the same
|
||
resolution.
|
||
|
||
|
||
Alternatives: API design
|
||
========================
|
||
|
||
Other names for time.monotonic()
|
||
--------------------------------
|
||
|
||
* time.counter()
|
||
* time.seconds()
|
||
* time.steady()
|
||
* time.timeout_clock()
|
||
* time.wallclock(): it is not the system time aka the "wall clock", but
|
||
a monotonic clock with an unspecified starting point
|
||
|
||
The name "time.try_monotonic()" was also proposed when time.monotonic() was
|
||
falling back to the system clock when no monotonic clock was available.
|
||
|
||
|
||
Only expose operating system clocks
|
||
-----------------------------------
|
||
|
||
To not have to define high-level clocks, which is a difficult task, a simpler
|
||
approach is to only expose operating system clocks. time.clock_gettime() and
|
||
related clock identifiers were already added to Python 3.3 for example.
|
||
|
||
|
||
Fallback to system clock
|
||
------------------------
|
||
|
||
If no monotonic clock is available, time.monotonic() falls back to the system
|
||
clock.
|
||
|
||
Issues:
|
||
|
||
* It is hard to define correctly such function in the documentation: is it
|
||
monotonic? is it steady? is it adjusted?
|
||
* Some user want to decide what to do when no monotonic clock is available:
|
||
use another clock, display an error, or do something else
|
||
|
||
|
||
One function choosing the clock from a list of constraints
|
||
----------------------------------------------------------
|
||
|
||
``time.get_clock(*flags)`` with the following flags:
|
||
|
||
* time.MONOTONIC: clock cannot go backard
|
||
* time.STEADY: clock rate is steady and the clock is not adjusted
|
||
* time.HIGHRES: clock with the highest resolutions
|
||
|
||
time.get_clock() returns None if the clock is found and so calls can be chained
|
||
using the or operator. Example::
|
||
|
||
get_time = time.get_clock(time.MONOTONIC) or time.get_clock(time.STEADY) or time.time()
|
||
t = get_time()
|
||
|
||
Example of flags of system clocks:
|
||
|
||
* QueryPerformanceCounter: MONOTONIC | HIGHRES
|
||
* GetTickCount: MONOTONIC | STEADY
|
||
* CLOCK_MONOTONIC: MONOTONIC | STEADY (or only MONOTONIC on Linux)
|
||
* CLOCK_MONOTONIC_RAW: MONOTONIC | STEADY
|
||
* gettimeofday(): (no flag)
|
||
|
||
|
||
One function with a flag: time.monotonic(fallback=True)
|
||
-------------------------------------------------------
|
||
|
||
* time.monotonic(fallback=True) falls back to the system clock if no monotonic
|
||
clock is available or if the monotonic clock failed.
|
||
* time.monotonic(fallback=False) raises OSError if monotonic clock fails and
|
||
NotImplementedError if the system does not provide a monotonic clock
|
||
|
||
"A keyword argument that gets passed as a constant in the caller is usually
|
||
poor API."
|
||
|
||
Raising NotImplementedError for a function is something uncommon in Python and
|
||
should be avoided.
|
||
|
||
|
||
One function, no flag
|
||
---------------------
|
||
|
||
time.monotonic() returns (time: float, is_monotonic: bool).
|
||
|
||
An alternative is to use a function attribute:
|
||
time.monotonic.is_monotonic. The attribute value would be None before
|
||
the first call to time.monotonic().
|
||
|
||
|
||
Working around operating system bugs?
|
||
=====================================
|
||
|
||
Should Python ensure manually that a monotonic clock is truly
|
||
monotonic by computing the maximum with the clock value and the
|
||
previous value?
|
||
|
||
Since it's relatively straightforward to cache the last value returned
|
||
using a static variable, it might be interesting to use this to make
|
||
sure that the values returned are indeed monotonic.
|
||
|
||
* Virtual machines provide less reliable clocks.
|
||
* QueryPerformanceCounter() has known bugs (only one is not fixed yet)
|
||
|
||
Python may only work around a specific known operating system bug:
|
||
`KB274323`_ contains a code example to workaround the bug (use
|
||
GetTickCount() to detect QueryPerformanceCounter() leap).
|
||
|
||
Issues of a hacked monotonic function:
|
||
|
||
* if the clock is accidentally set forward by an hour and then back
|
||
again, you wouldn't have a useful clock for an hour
|
||
* the cache is not shared between processes so different processes wouldn't
|
||
see the same clock value
|
||
|
||
|
||
Deferred API: time.perf_counter()
|
||
=================================
|
||
|
||
Performance counter used for benchmarking and profiling. The reference point of
|
||
the returned value is undefined so only the difference between consecutive calls is
|
||
valid and is number of seconds.
|
||
|
||
Pseudo-code::
|
||
|
||
def perf_counter():
|
||
if perf_counter.use_performance_counter:
|
||
if perf_counter.perf_frequency is None:
|
||
try:
|
||
perf_counter.perf_frequency = float(_time.QueryPerformanceFrequency())
|
||
except OSError:
|
||
# QueryPerformanceFrequency() fails if the installed
|
||
# hardware does not support a high-resolution performance
|
||
# counter
|
||
perf_counter.use_performance_counter = False
|
||
else:
|
||
return _time.QueryPerformanceCounter() / perf_counter.perf_frequency
|
||
else:
|
||
return _time.QueryPerformanceCounter() / perf_counter.perf_frequency
|
||
if perf_counter.use_monotonic:
|
||
# Monotonic clock is preferred over system clock
|
||
try:
|
||
return time.monotonic()
|
||
except OSError:
|
||
perf_counter.use_monotonic = False
|
||
return time.time()
|
||
perf_counter.use_performance_counter = (os.name == 'nt')
|
||
if perf_counter.use_performance_counter:
|
||
perf_counter.perf_frequency = None
|
||
perf_counter.use_monotonic = hasattr(time, 'monotonic')
|
||
|
||
Other names proposed for time.perf_counter():
|
||
|
||
* time.hires()
|
||
* time.highres()
|
||
* time.timer()
|
||
|
||
Python source code includes a portable library to get the process time (CPU
|
||
time): `Tools/pybench/systimes.py
|
||
<http://hg.python.org/cpython/file/tip/Tools/pybench/systimes.py>`_.
|
||
|
||
|
||
Footnotes
|
||
=========
|
||
|
||
.. [#pseudo] "_time" is an hypothetical module only used for the example.
|
||
The time module is implemented in C and so there is no need for
|
||
such module.
|
||
|
||
|
||
Links
|
||
=====
|
||
|
||
Related Python issues:
|
||
|
||
* `Issue #12822: NewGIL should use CLOCK_MONOTONIC if possible.
|
||
<http://bugs.python.org/issue12822>`_
|
||
* `Issue #14222: Use time.steady() to implement timeout
|
||
<http://bugs.python.org/issue14222>`_
|
||
* `Issue #14309: Deprecate time.clock()
|
||
<http://bugs.python.org/issue14309>`_
|
||
* `Issue #14397: Use GetTickCount/GetTickCount64 instead of
|
||
QueryPerformanceCounter for monotonic clock
|
||
<http://bugs.python.org/issue14397>`_
|
||
* `Issue #14428: Implementation of the PEP 418
|
||
<http://bugs.python.org/issue14428>`_
|
||
|
||
Libraries exposing monotonic clocks:
|
||
|
||
* `Java: System.nanoTime
|
||
<http://docs.oracle.com/javase/1.5.0/docs/api/java/lang/System.html#nanoTime()>`_
|
||
* `Qt library: QElapsedTimer
|
||
<http://qt-project.org/doc/qt-4.8/qelapsedtimer.html>`_
|
||
* `glib library: g_get_monotonic_time ()
|
||
<http://developer.gnome.org/glib/2.30/glib-Date-and-Time-Functions.html#g-get-monotonic-time>`_
|
||
uses GetTickCount64()/GetTickCount() on Windows,
|
||
clock_gettime(CLOCK_MONOTONIC) on UNIX or falls back to the system
|
||
clock
|
||
* `python-monotonic-time
|
||
<http://code.google.com/p/python-monotonic-time/>`_ (`github
|
||
<https://github.com/gavinbeatty/python-monotonic-time>`_)
|
||
* `Monoclock.nano_count()
|
||
<https://github.com/ludios/Monoclock>`_ uses clock_gettime(CLOCK_MONOTONIC)
|
||
and returns a number of nanoseconds
|
||
* `monotonic_clock <https://github.com/ThomasHabets/monotonic_clock>`_
|
||
* `Perl: Time::HiRes <http://perldoc.perl.org/Time/HiRes.html>`_
|
||
exposes clock_gettime(CLOCK_MONOTONIC)
|
||
* `Ruby: AbsoluteTime.now
|
||
<https://github.com/bwbuchanan/absolute_time/>`_: use
|
||
clock_gettime(CLOCK_MONOTONIC), mach_absolute_time() or
|
||
gettimeofday(). "AbsoluteTime.monotonic?" method indicates if
|
||
AbsoluteTime.now is monotonic or not.
|
||
* `libpthread
|
||
<http://code.google.com/p/libpthread/>`_: POSIX thread library for Windows
|
||
(`clock.c <http://code.google.com/p/libpthread/source/browse/src/clock.c>`_)
|
||
* `Boost.Chrono
|
||
<http://www.boost.org/doc/libs/1_49_0/doc/html/chrono.html>`_ uses:
|
||
|
||
* system_clock:
|
||
|
||
* mac = gettimeofday()
|
||
* posix = clock_gettime(CLOCK_REALTIME)
|
||
* win = GetSystemTimeAsFileTime()
|
||
|
||
* steady_clock:
|
||
|
||
* mac = mach_absolute_time()
|
||
* posix = clock_gettime(CLOCK_MONOTONIC)
|
||
* win = QueryPerformanceCounter()
|
||
|
||
* high_resolution_clock:
|
||
|
||
* steady_clock, if available system_clock, otherwise
|
||
|
||
Time:
|
||
|
||
* `hrtimers - subsystem for high-resolution kernel timers
|
||
<http://www.kernel.org/doc/Documentation/timers/hrtimers.txt>`_
|
||
* `C++ Timeout Specification
|
||
<http://www.open-std.org/jtc1/sc22/wg21/docs/papers/2010/n3128.html>`_
|
||
* `Windows: Game Timing and Multicore Processors
|
||
<http://msdn.microsoft.com/en-us/library/ee417693.aspx>`_
|
||
* `Implement a Continuously Updating, High-Resolution Time Provider
|
||
for Windows
|
||
<http://msdn.microsoft.com/en-us/magazine/cc163996.aspx>`_
|
||
* `clockspeed <http://cr.yp.to/clockspeed.html>`_ uses a hardware tick
|
||
counter to compensate for a persistently fast or slow system clock
|
||
* `Retrieving system time
|
||
<http://en.wikipedia.org/wiki/System_time#Retrieving_system_time>`_
|
||
lists hardware clocks and time functions with their resolution and
|
||
epoch or range
|
||
* On Windows, the JavaScript runtime of Firefox interpolates
|
||
GetSystemTimeAsFileTime() with QueryPerformanceCounter() to get an
|
||
higher resolution. See the `Bug 363258 - bad millisecond resolution
|
||
for (new Date).getTime() / Date.now() on Windows
|
||
<https://bugzilla.mozilla.org/show_bug.cgi?id=363258>`_.
|
||
* `When microseconds matter
|
||
<http://www.ibm.com/developerworks/library/i-seconds/>`_: How the
|
||
IBM High Resolution Time Stamp Facility accurately measures itty
|
||
bits of time
|
||
* `Win32 Performance Measurement Options
|
||
<http://drdobbs.com/windows/184416651>`_ by Matthew Wilson, May 01, 2003
|
||
* System Management Interrupt (SMI) issues:
|
||
|
||
* `System Management Interrupt Free Hardware
|
||
<http://linuxplumbersconf.org/2009/slides/Keith-Mannthey-SMI-plumers-2009.pdf>`_
|
||
(Keith Mannthey, 2009)
|
||
* `IBM Real-Time "SMI Free" mode driver
|
||
<http://lwn.net/Articles/318725/>`_
|
||
* `Fixing Realtime problems caused by SMI on Ubuntu
|
||
<http://wiki.linuxcnc.org/cgi-bin/wiki.pl?FixingSMIIssues>`_
|
||
* `[RFC] simple SMI detector
|
||
<http://lwn.net/Articles/316622/>`_
|
||
* `[PATCH 2.6.34-rc3] A nonintrusive SMI sniffer for x86.
|
||
<http://marc.info/?l=linux-kernel&m=127058720921201&w=1>`_
|
||
|
||
|
||
Copyright
|
||
=========
|
||
|
||
This document has been placed in the public domain.
|
||
|
||
|
||
|
||
..
|
||
Local Variables:
|
||
mode: indented-text
|
||
indent-tabs-mode: nil
|
||
sentence-end-double-space: t
|
||
fill-column: 70
|
||
coding: utf-8
|
||
End:
|