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Georg Brandl116aa622007-08-15 14:28:22 +00001:mod:`time` --- Time access and conversions
2===========================================
3
4.. module:: time
5 :synopsis: Time access and conversions.
6
7
8This module provides various time-related functions. For related
9functionality, see also the :mod:`datetime` and :mod:`calendar` modules.
10
11Although this module is always available,
12not all functions are available on all platforms. Most of the functions
13defined in this module call platform C library functions with the same name. It
14may sometimes be helpful to consult the platform documentation, because the
15semantics of these functions varies among platforms.
16
17An explanation of some terminology and conventions is in order.
18
Georg Brandlb67878a2010-10-15 17:01:15 +000019.. index:: single: epoch
Georg Brandl116aa622007-08-15 14:28:22 +000020
21* The :dfn:`epoch` is the point where the time starts. On January 1st of that
22 year, at 0 hours, the "time since the epoch" is zero. For Unix, the epoch is
23 1970. To find out what the epoch is, look at ``gmtime(0)``.
24
Georg Brandlb67878a2010-10-15 17:01:15 +000025.. index:: single: Year 2038
Georg Brandl116aa622007-08-15 14:28:22 +000026
Alexander Belopolskyc64708a2011-01-07 19:59:19 +000027* The functions in this module may not handle dates and times before the epoch or
Georg Brandl116aa622007-08-15 14:28:22 +000028 far in the future. The cut-off point in the future is determined by the C
Alexander Belopolskyc64708a2011-01-07 19:59:19 +000029 library; for 32-bit systems, it is typically in 2038.
Georg Brandl116aa622007-08-15 14:28:22 +000030
Georg Brandlb67878a2010-10-15 17:01:15 +000031.. index::
32 single: Year 2000
33 single: Y2K
34
35.. _time-y2kissues:
Georg Brandl116aa622007-08-15 14:28:22 +000036
Alexander Belopolskyc64708a2011-01-07 19:59:19 +000037* **Year 2000 (Y2K) issues**: Python depends on the platform's C library, which
Georg Brandl116aa622007-08-15 14:28:22 +000038 generally doesn't have year 2000 issues, since all dates and times are
Alexander Belopolskyc64708a2011-01-07 19:59:19 +000039 represented internally as seconds since the epoch. Function :func:`strptime`
40 can parse 2-digit years when given ``%y`` format code. When 2-digit years are
41 parsed, they are converted according to the POSIX and ISO C standards: values
42 69--99 are mapped to 1969--1999, and values 0--68 are mapped to 2000--2068.
43
Georg Brandlb67878a2010-10-15 17:01:15 +000044.. index::
45 single: UTC
46 single: Coordinated Universal Time
47 single: Greenwich Mean Time
Georg Brandl116aa622007-08-15 14:28:22 +000048
49* UTC is Coordinated Universal Time (formerly known as Greenwich Mean Time, or
50 GMT). The acronym UTC is not a mistake but a compromise between English and
51 French.
52
Georg Brandlb67878a2010-10-15 17:01:15 +000053.. index:: single: Daylight Saving Time
Georg Brandl116aa622007-08-15 14:28:22 +000054
55* DST is Daylight Saving Time, an adjustment of the timezone by (usually) one
56 hour during part of the year. DST rules are magic (determined by local law) and
57 can change from year to year. The C library has a table containing the local
58 rules (often it is read from a system file for flexibility) and is the only
59 source of True Wisdom in this respect.
60
61* The precision of the various real-time functions may be less than suggested by
62 the units in which their value or argument is expressed. E.g. on most Unix
Georg Brandlc575c902008-09-13 17:46:05 +000063 systems, the clock "ticks" only 50 or 100 times a second.
Georg Brandl116aa622007-08-15 14:28:22 +000064
65* On the other hand, the precision of :func:`time` and :func:`sleep` is better
66 than their Unix equivalents: times are expressed as floating point numbers,
67 :func:`time` returns the most accurate time available (using Unix
Georg Brandl60203b42010-10-06 10:11:56 +000068 :c:func:`gettimeofday` where available), and :func:`sleep` will accept a time
69 with a nonzero fraction (Unix :c:func:`select` is used to implement this, where
Georg Brandl116aa622007-08-15 14:28:22 +000070 available).
71
72* The time value as returned by :func:`gmtime`, :func:`localtime`, and
73 :func:`strptime`, and accepted by :func:`asctime`, :func:`mktime` and
74 :func:`strftime`, is a sequence of 9 integers. The return values of
75 :func:`gmtime`, :func:`localtime`, and :func:`strptime` also offer attribute
76 names for individual fields.
77
Georg Brandlb67878a2010-10-15 17:01:15 +000078 See :class:`struct_time` for a description of these objects.
Georg Brandl116aa622007-08-15 14:28:22 +000079
Benjamin Petersone0124bd2009-03-09 21:04:33 +000080* Use the following functions to convert between time representations:
81
82 +-------------------------+-------------------------+-------------------------+
83 | From | To | Use |
84 +=========================+=========================+=========================+
85 | seconds since the epoch | :class:`struct_time` in | :func:`gmtime` |
86 | | UTC | |
87 +-------------------------+-------------------------+-------------------------+
88 | seconds since the epoch | :class:`struct_time` in | :func:`localtime` |
89 | | local time | |
90 +-------------------------+-------------------------+-------------------------+
91 | :class:`struct_time` in | seconds since the epoch | :func:`calendar.timegm` |
92 | UTC | | |
93 +-------------------------+-------------------------+-------------------------+
94 | :class:`struct_time` in | seconds since the epoch | :func:`mktime` |
95 | local time | | |
96 +-------------------------+-------------------------+-------------------------+
97
98
Georg Brandl116aa622007-08-15 14:28:22 +000099The module defines the following functions and data items:
100
Georg Brandl116aa622007-08-15 14:28:22 +0000101.. data:: altzone
102
103 The offset of the local DST timezone, in seconds west of UTC, if one is defined.
104 This is negative if the local DST timezone is east of UTC (as in Western Europe,
105 including the UK). Only use this if ``daylight`` is nonzero.
106
107
108.. function:: asctime([t])
109
110 Convert a tuple or :class:`struct_time` representing a time as returned by
Alexander Belopolskyb9588b52011-01-04 16:34:30 +0000111 :func:`gmtime` or :func:`localtime` to a string of the following
Georg Brandl116aa622007-08-15 14:28:22 +0000112 form: ``'Sun Jun 20 23:21:05 1993'``. If *t* is not provided, the current time
113 as returned by :func:`localtime` is used. Locale information is not used by
114 :func:`asctime`.
115
116 .. note::
117
118 Unlike the C function of the same name, there is no trailing newline.
119
Georg Brandl116aa622007-08-15 14:28:22 +0000120
121.. function:: clock()
122
123 .. index::
124 single: CPU time
125 single: processor time
126 single: benchmarking
127
128 On Unix, return the current processor time as a floating point number expressed
129 in seconds. The precision, and in fact the very definition of the meaning of
130 "processor time", depends on that of the C function of the same name, but in any
131 case, this is the function to use for benchmarking Python or timing algorithms.
132
133 On Windows, this function returns wall-clock seconds elapsed since the first
134 call to this function, as a floating point number, based on the Win32 function
Georg Brandl60203b42010-10-06 10:11:56 +0000135 :c:func:`QueryPerformanceCounter`. The resolution is typically better than one
Georg Brandl116aa622007-08-15 14:28:22 +0000136 microsecond.
137
138
139.. function:: ctime([secs])
140
141 Convert a time expressed in seconds since the epoch to a string representing
142 local time. If *secs* is not provided or :const:`None`, the current time as
143 returned by :func:`time` is used. ``ctime(secs)`` is equivalent to
144 ``asctime(localtime(secs))``. Locale information is not used by :func:`ctime`.
145
Georg Brandl116aa622007-08-15 14:28:22 +0000146
147.. data:: daylight
148
149 Nonzero if a DST timezone is defined.
150
151
152.. function:: gmtime([secs])
153
154 Convert a time expressed in seconds since the epoch to a :class:`struct_time` in
155 UTC in which the dst flag is always zero. If *secs* is not provided or
156 :const:`None`, the current time as returned by :func:`time` is used. Fractions
157 of a second are ignored. See above for a description of the
158 :class:`struct_time` object. See :func:`calendar.timegm` for the inverse of this
159 function.
160
Georg Brandl116aa622007-08-15 14:28:22 +0000161
162.. function:: localtime([secs])
163
164 Like :func:`gmtime` but converts to local time. If *secs* is not provided or
165 :const:`None`, the current time as returned by :func:`time` is used. The dst
166 flag is set to ``1`` when DST applies to the given time.
167
Georg Brandl116aa622007-08-15 14:28:22 +0000168
169.. function:: mktime(t)
170
171 This is the inverse function of :func:`localtime`. Its argument is the
172 :class:`struct_time` or full 9-tuple (since the dst flag is needed; use ``-1``
173 as the dst flag if it is unknown) which expresses the time in *local* time, not
174 UTC. It returns a floating point number, for compatibility with :func:`time`.
175 If the input value cannot be represented as a valid time, either
176 :exc:`OverflowError` or :exc:`ValueError` will be raised (which depends on
177 whether the invalid value is caught by Python or the underlying C libraries).
178 The earliest date for which it can generate a time is platform-dependent.
179
180
181.. function:: sleep(secs)
182
183 Suspend execution for the given number of seconds. The argument may be a
184 floating point number to indicate a more precise sleep time. The actual
185 suspension time may be less than that requested because any caught signal will
186 terminate the :func:`sleep` following execution of that signal's catching
187 routine. Also, the suspension time may be longer than requested by an arbitrary
188 amount because of the scheduling of other activity in the system.
189
190
191.. function:: strftime(format[, t])
192
193 Convert a tuple or :class:`struct_time` representing a time as returned by
194 :func:`gmtime` or :func:`localtime` to a string as specified by the *format*
195 argument. If *t* is not provided, the current time as returned by
196 :func:`localtime` is used. *format* must be a string. :exc:`ValueError` is
197 raised if any field in *t* is outside of the allowed range.
198
Georg Brandl55ac8f02007-09-01 13:51:09 +0000199 0 is a legal argument for any position in the time tuple; if it is normally
200 illegal the value is forced to a correct one.
Georg Brandl116aa622007-08-15 14:28:22 +0000201
202 The following directives can be embedded in the *format* string. They are shown
203 without the optional field width and precision specification, and are replaced
204 by the indicated characters in the :func:`strftime` result:
205
Georg Brandl55ac8f02007-09-01 13:51:09 +0000206 +-----------+------------------------------------------------+-------+
207 | Directive | Meaning | Notes |
208 +===========+================================================+=======+
209 | ``%a`` | Locale's abbreviated weekday name. | |
210 | | | |
211 +-----------+------------------------------------------------+-------+
212 | ``%A`` | Locale's full weekday name. | |
213 +-----------+------------------------------------------------+-------+
214 | ``%b`` | Locale's abbreviated month name. | |
215 | | | |
216 +-----------+------------------------------------------------+-------+
217 | ``%B`` | Locale's full month name. | |
218 +-----------+------------------------------------------------+-------+
219 | ``%c`` | Locale's appropriate date and time | |
220 | | representation. | |
221 +-----------+------------------------------------------------+-------+
222 | ``%d`` | Day of the month as a decimal number [01,31]. | |
223 | | | |
224 +-----------+------------------------------------------------+-------+
225 | ``%H`` | Hour (24-hour clock) as a decimal number | |
226 | | [00,23]. | |
227 +-----------+------------------------------------------------+-------+
228 | ``%I`` | Hour (12-hour clock) as a decimal number | |
229 | | [01,12]. | |
230 +-----------+------------------------------------------------+-------+
231 | ``%j`` | Day of the year as a decimal number [001,366]. | |
232 | | | |
233 +-----------+------------------------------------------------+-------+
234 | ``%m`` | Month as a decimal number [01,12]. | |
235 | | | |
236 +-----------+------------------------------------------------+-------+
237 | ``%M`` | Minute as a decimal number [00,59]. | |
238 | | | |
239 +-----------+------------------------------------------------+-------+
240 | ``%p`` | Locale's equivalent of either AM or PM. | \(1) |
241 | | | |
242 +-----------+------------------------------------------------+-------+
243 | ``%S`` | Second as a decimal number [00,61]. | \(2) |
244 | | | |
245 +-----------+------------------------------------------------+-------+
246 | ``%U`` | Week number of the year (Sunday as the first | \(3) |
247 | | day of the week) as a decimal number [00,53]. | |
248 | | All days in a new year preceding the first | |
249 | | Sunday are considered to be in week 0. | |
250 | | | |
251 | | | |
252 | | | |
253 +-----------+------------------------------------------------+-------+
254 | ``%w`` | Weekday as a decimal number [0(Sunday),6]. | |
255 | | | |
256 +-----------+------------------------------------------------+-------+
257 | ``%W`` | Week number of the year (Monday as the first | \(3) |
258 | | day of the week) as a decimal number [00,53]. | |
259 | | All days in a new year preceding the first | |
260 | | Monday are considered to be in week 0. | |
261 | | | |
262 | | | |
263 | | | |
264 +-----------+------------------------------------------------+-------+
265 | ``%x`` | Locale's appropriate date representation. | |
266 | | | |
267 +-----------+------------------------------------------------+-------+
268 | ``%X`` | Locale's appropriate time representation. | |
269 | | | |
270 +-----------+------------------------------------------------+-------+
271 | ``%y`` | Year without century as a decimal number | |
272 | | [00,99]. | |
273 +-----------+------------------------------------------------+-------+
Alexander Belopolsky03163ac2011-05-02 12:20:52 -0400274 | ``%Y`` | Year with century as a decimal number. | |
Georg Brandl55ac8f02007-09-01 13:51:09 +0000275 | | | |
276 +-----------+------------------------------------------------+-------+
277 | ``%Z`` | Time zone name (no characters if no time zone | |
278 | | exists). | |
279 +-----------+------------------------------------------------+-------+
280 | ``%%`` | A literal ``'%'`` character. | |
281 +-----------+------------------------------------------------+-------+
Georg Brandl116aa622007-08-15 14:28:22 +0000282
283 Notes:
284
285 (1)
286 When used with the :func:`strptime` function, the ``%p`` directive only affects
287 the output hour field if the ``%I`` directive is used to parse the hour.
288
289 (2)
Alexander Belopolsky9971e002011-01-10 22:56:14 +0000290 The range really is ``0`` to ``61``; value ``60`` is valid in
291 timestamps representing leap seconds and value ``61`` is supported
292 for historical reasons.
Georg Brandl116aa622007-08-15 14:28:22 +0000293
294 (3)
295 When used with the :func:`strptime` function, ``%U`` and ``%W`` are only used in
296 calculations when the day of the week and the year are specified.
297
298 Here is an example, a format for dates compatible with that specified in the
299 :rfc:`2822` Internet email standard. [#]_ ::
300
301 >>> from time import gmtime, strftime
302 >>> strftime("%a, %d %b %Y %H:%M:%S +0000", gmtime())
303 'Thu, 28 Jun 2001 14:17:15 +0000'
304
305 Additional directives may be supported on certain platforms, but only the ones
306 listed here have a meaning standardized by ANSI C.
307
308 On some platforms, an optional field width and precision specification can
309 immediately follow the initial ``'%'`` of a directive in the following order;
310 this is also not portable. The field width is normally 2 except for ``%j`` where
311 it is 3.
312
313
314.. function:: strptime(string[, format])
315
Brett Cannon7f6b4f82009-03-30 21:30:26 +0000316 Parse a string representing a time according to a format. The return value
317 is a :class:`struct_time` as returned by :func:`gmtime` or
318 :func:`localtime`.
Georg Brandl116aa622007-08-15 14:28:22 +0000319
320 The *format* parameter uses the same directives as those used by
321 :func:`strftime`; it defaults to ``"%a %b %d %H:%M:%S %Y"`` which matches the
Brett Cannon7f6b4f82009-03-30 21:30:26 +0000322 formatting returned by :func:`ctime`. If *string* cannot be parsed according
323 to *format*, or if it has excess data after parsing, :exc:`ValueError` is
324 raised. The default values used to fill in any missing data when more
325 accurate values cannot be inferred are ``(1900, 1, 1, 0, 0, 0, 0, 1, -1)``.
326 Both *string* and *format* must be strings.
Georg Brandl116aa622007-08-15 14:28:22 +0000327
Christian Heimesfe337bf2008-03-23 21:54:12 +0000328 For example:
Georg Brandl116aa622007-08-15 14:28:22 +0000329
330 >>> import time
Christian Heimesfe337bf2008-03-23 21:54:12 +0000331 >>> time.strptime("30 Nov 00", "%d %b %y") # doctest: +NORMALIZE_WHITESPACE
332 time.struct_time(tm_year=2000, tm_mon=11, tm_mday=30, tm_hour=0, tm_min=0,
333 tm_sec=0, tm_wday=3, tm_yday=335, tm_isdst=-1)
Georg Brandl116aa622007-08-15 14:28:22 +0000334
335 Support for the ``%Z`` directive is based on the values contained in ``tzname``
336 and whether ``daylight`` is true. Because of this, it is platform-specific
337 except for recognizing UTC and GMT which are always known (and are considered to
338 be non-daylight savings timezones).
339
340 Only the directives specified in the documentation are supported. Because
341 ``strftime()`` is implemented per platform it can sometimes offer more
342 directives than those listed. But ``strptime()`` is independent of any platform
343 and thus does not necessarily support all directives available that are not
344 documented as supported.
345
346
Georg Brandlb67878a2010-10-15 17:01:15 +0000347.. class:: struct_time
Georg Brandl116aa622007-08-15 14:28:22 +0000348
349 The type of the time value sequence returned by :func:`gmtime`,
Georg Brandlb67878a2010-10-15 17:01:15 +0000350 :func:`localtime`, and :func:`strptime`. It is an object with a :term:`named
351 tuple` interface: values can be accessed by index and by attribute name. The
352 following values are present:
353
354 +-------+-------------------+---------------------------------+
355 | Index | Attribute | Values |
356 +=======+===================+=================================+
357 | 0 | :attr:`tm_year` | (for example, 1993) |
358 +-------+-------------------+---------------------------------+
359 | 1 | :attr:`tm_mon` | range [1, 12] |
360 +-------+-------------------+---------------------------------+
361 | 2 | :attr:`tm_mday` | range [1, 31] |
362 +-------+-------------------+---------------------------------+
363 | 3 | :attr:`tm_hour` | range [0, 23] |
364 +-------+-------------------+---------------------------------+
365 | 4 | :attr:`tm_min` | range [0, 59] |
366 +-------+-------------------+---------------------------------+
Alexander Belopolsky04da1e02011-01-10 19:14:38 +0000367 | 5 | :attr:`tm_sec` | range [0, 61]; see **(2)** in |
Georg Brandlb67878a2010-10-15 17:01:15 +0000368 | | | :func:`strftime` description |
369 +-------+-------------------+---------------------------------+
370 | 6 | :attr:`tm_wday` | range [0, 6], Monday is 0 |
371 +-------+-------------------+---------------------------------+
372 | 7 | :attr:`tm_yday` | range [1, 366] |
373 +-------+-------------------+---------------------------------+
374 | 8 | :attr:`tm_isdst` | 0, 1 or -1; see below |
375 +-------+-------------------+---------------------------------+
376
377 Note that unlike the C structure, the month value is a range of [1, 12], not
Alexander Belopolsky03163ac2011-05-02 12:20:52 -0400378 [0, 11]. A ``-1`` argument as the daylight
Georg Brandlb67878a2010-10-15 17:01:15 +0000379 savings flag, passed to :func:`mktime` will usually result in the correct
380 daylight savings state to be filled in.
381
382 When a tuple with an incorrect length is passed to a function expecting a
383 :class:`struct_time`, or having elements of the wrong type, a
384 :exc:`TypeError` is raised.
Georg Brandl116aa622007-08-15 14:28:22 +0000385
Georg Brandl116aa622007-08-15 14:28:22 +0000386
387.. function:: time()
388
389 Return the time as a floating point number expressed in seconds since the epoch,
390 in UTC. Note that even though the time is always returned as a floating point
391 number, not all systems provide time with a better precision than 1 second.
392 While this function normally returns non-decreasing values, it can return a
393 lower value than a previous call if the system clock has been set back between
394 the two calls.
395
396
397.. data:: timezone
398
399 The offset of the local (non-DST) timezone, in seconds west of UTC (negative in
400 most of Western Europe, positive in the US, zero in the UK).
401
402
403.. data:: tzname
404
405 A tuple of two strings: the first is the name of the local non-DST timezone, the
406 second is the name of the local DST timezone. If no DST timezone is defined,
407 the second string should not be used.
408
409
410.. function:: tzset()
411
412 Resets the time conversion rules used by the library routines. The environment
413 variable :envvar:`TZ` specifies how this is done.
414
Georg Brandl116aa622007-08-15 14:28:22 +0000415 Availability: Unix.
416
417 .. note::
418
419 Although in many cases, changing the :envvar:`TZ` environment variable may
420 affect the output of functions like :func:`localtime` without calling
421 :func:`tzset`, this behavior should not be relied on.
422
423 The :envvar:`TZ` environment variable should contain no whitespace.
424
425 The standard format of the :envvar:`TZ` environment variable is (whitespace
426 added for clarity)::
427
428 std offset [dst [offset [,start[/time], end[/time]]]]
429
430 Where the components are:
431
432 ``std`` and ``dst``
433 Three or more alphanumerics giving the timezone abbreviations. These will be
434 propagated into time.tzname
435
436 ``offset``
437 The offset has the form: ``± hh[:mm[:ss]]``. This indicates the value
438 added the local time to arrive at UTC. If preceded by a '-', the timezone
439 is east of the Prime Meridian; otherwise, it is west. If no offset follows
440 dst, summer time is assumed to be one hour ahead of standard time.
441
442 ``start[/time], end[/time]``
443 Indicates when to change to and back from DST. The format of the
444 start and end dates are one of the following:
445
446 :samp:`J{n}`
447 The Julian day *n* (1 <= *n* <= 365). Leap days are not counted, so in
448 all years February 28 is day 59 and March 1 is day 60.
449
450 :samp:`{n}`
451 The zero-based Julian day (0 <= *n* <= 365). Leap days are counted, and
452 it is possible to refer to February 29.
453
454 :samp:`M{m}.{n}.{d}`
455 The *d*'th day (0 <= *d* <= 6) or week *n* of month *m* of the year (1
456 <= *n* <= 5, 1 <= *m* <= 12, where week 5 means "the last *d* day in
457 month *m*" which may occur in either the fourth or the fifth
458 week). Week 1 is the first week in which the *d*'th day occurs. Day
459 zero is Sunday.
460
461 ``time`` has the same format as ``offset`` except that no leading sign
462 ('-' or '+') is allowed. The default, if time is not given, is 02:00:00.
463
464 ::
465
466 >>> os.environ['TZ'] = 'EST+05EDT,M4.1.0,M10.5.0'
467 >>> time.tzset()
468 >>> time.strftime('%X %x %Z')
469 '02:07:36 05/08/03 EDT'
470 >>> os.environ['TZ'] = 'AEST-10AEDT-11,M10.5.0,M3.5.0'
471 >>> time.tzset()
472 >>> time.strftime('%X %x %Z')
473 '16:08:12 05/08/03 AEST'
474
475 On many Unix systems (including \*BSD, Linux, Solaris, and Darwin), it is more
476 convenient to use the system's zoneinfo (:manpage:`tzfile(5)`) database to
477 specify the timezone rules. To do this, set the :envvar:`TZ` environment
478 variable to the path of the required timezone datafile, relative to the root of
479 the systems 'zoneinfo' timezone database, usually located at
480 :file:`/usr/share/zoneinfo`. For example, ``'US/Eastern'``,
481 ``'Australia/Melbourne'``, ``'Egypt'`` or ``'Europe/Amsterdam'``. ::
482
483 >>> os.environ['TZ'] = 'US/Eastern'
484 >>> time.tzset()
485 >>> time.tzname
486 ('EST', 'EDT')
487 >>> os.environ['TZ'] = 'Egypt'
488 >>> time.tzset()
489 >>> time.tzname
490 ('EET', 'EEST')
491
492
493.. seealso::
494
495 Module :mod:`datetime`
496 More object-oriented interface to dates and times.
497
498 Module :mod:`locale`
499 Internationalization services. The locale settings can affect the return values
500 for some of the functions in the :mod:`time` module.
501
502 Module :mod:`calendar`
503 General calendar-related functions. :func:`timegm` is the inverse of
504 :func:`gmtime` from this module.
505
506.. rubric:: Footnotes
507
508.. [#] The use of ``%Z`` is now deprecated, but the ``%z`` escape that expands to the
509 preferred hour/minute offset is not supported by all ANSI C libraries. Also, a
510 strict reading of the original 1982 :rfc:`822` standard calls for a two-digit
511 year (%y rather than %Y), but practice moved to 4-digit years long before the
512 year 2000. The 4-digit year has been mandated by :rfc:`2822`, which obsoletes
513 :rfc:`822`.
514