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bazarr/libs/dateutil/rrule.py

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# -*- coding: utf-8 -*-
"""
The rrule module offers a small, complete, and very fast, implementation of
the recurrence rules documented in the
`iCalendar RFC <https://tools.ietf.org/html/rfc5545>`_,
including support for caching of results.
"""
import calendar
import datetime
import heapq
import itertools
import re
import sys
from functools import wraps
# For warning about deprecation of until and count
from warnings import warn
from six import advance_iterator, integer_types
from six.moves import _thread, range
from ._common import weekday as weekdaybase
try:
from math import gcd
except ImportError:
from fractions import gcd
__all__ = ["rrule", "rruleset", "rrulestr",
"YEARLY", "MONTHLY", "WEEKLY", "DAILY",
"HOURLY", "MINUTELY", "SECONDLY",
"MO", "TU", "WE", "TH", "FR", "SA", "SU"]
# Every mask is 7 days longer to handle cross-year weekly periods.
M366MASK = tuple([1]*31+[2]*29+[3]*31+[4]*30+[5]*31+[6]*30 +
[7]*31+[8]*31+[9]*30+[10]*31+[11]*30+[12]*31+[1]*7)
M365MASK = list(M366MASK)
M29, M30, M31 = list(range(1, 30)), list(range(1, 31)), list(range(1, 32))
MDAY366MASK = tuple(M31+M29+M31+M30+M31+M30+M31+M31+M30+M31+M30+M31+M31[:7])
MDAY365MASK = list(MDAY366MASK)
M29, M30, M31 = list(range(-29, 0)), list(range(-30, 0)), list(range(-31, 0))
NMDAY366MASK = tuple(M31+M29+M31+M30+M31+M30+M31+M31+M30+M31+M30+M31+M31[:7])
NMDAY365MASK = list(NMDAY366MASK)
M366RANGE = (0, 31, 60, 91, 121, 152, 182, 213, 244, 274, 305, 335, 366)
M365RANGE = (0, 31, 59, 90, 120, 151, 181, 212, 243, 273, 304, 334, 365)
WDAYMASK = [0, 1, 2, 3, 4, 5, 6]*55
del M29, M30, M31, M365MASK[59], MDAY365MASK[59], NMDAY365MASK[31]
MDAY365MASK = tuple(MDAY365MASK)
M365MASK = tuple(M365MASK)
FREQNAMES = ['YEARLY', 'MONTHLY', 'WEEKLY', 'DAILY', 'HOURLY', 'MINUTELY', 'SECONDLY']
(YEARLY,
MONTHLY,
WEEKLY,
DAILY,
HOURLY,
MINUTELY,
SECONDLY) = list(range(7))
# Imported on demand.
easter = None
parser = None
class weekday(weekdaybase):
"""
This version of weekday does not allow n = 0.
"""
def __init__(self, wkday, n=None):
if n == 0:
raise ValueError("Can't create weekday with n==0")
super(weekday, self).__init__(wkday, n)
MO, TU, WE, TH, FR, SA, SU = weekdays = tuple(weekday(x) for x in range(7))
def _invalidates_cache(f):
"""
Decorator for rruleset methods which may invalidate the
cached length.
"""
@wraps(f)
def inner_func(self, *args, **kwargs):
rv = f(self, *args, **kwargs)
self._invalidate_cache()
return rv
return inner_func
class rrulebase(object):
def __init__(self, cache=False):
if cache:
self._cache = []
self._cache_lock = _thread.allocate_lock()
self._invalidate_cache()
else:
self._cache = None
self._cache_complete = False
self._len = None
def __iter__(self):
if self._cache_complete:
return iter(self._cache)
elif self._cache is None:
return self._iter()
else:
return self._iter_cached()
def _invalidate_cache(self):
if self._cache is not None:
self._cache = []
self._cache_complete = False
self._cache_gen = self._iter()
if self._cache_lock.locked():
self._cache_lock.release()
self._len = None
def _iter_cached(self):
i = 0
gen = self._cache_gen
cache = self._cache
acquire = self._cache_lock.acquire
release = self._cache_lock.release
while gen:
if i == len(cache):
acquire()
if self._cache_complete:
break
try:
for j in range(10):
cache.append(advance_iterator(gen))
except StopIteration:
self._cache_gen = gen = None
self._cache_complete = True
break
release()
yield cache[i]
i += 1
while i < self._len:
yield cache[i]
i += 1
def __getitem__(self, item):
if self._cache_complete:
return self._cache[item]
elif isinstance(item, slice):
if item.step and item.step < 0:
return list(iter(self))[item]
else:
return list(itertools.islice(self,
item.start or 0,
item.stop or sys.maxsize,
item.step or 1))
elif item >= 0:
gen = iter(self)
try:
for i in range(item+1):
res = advance_iterator(gen)
except StopIteration:
raise IndexError
return res
else:
return list(iter(self))[item]
def __contains__(self, item):
if self._cache_complete:
return item in self._cache
else:
for i in self:
if i == item:
return True
elif i > item:
return False
return False
# __len__() introduces a large performance penalty.
def count(self):
""" Returns the number of recurrences in this set. It will have go
trough the whole recurrence, if this hasn't been done before. """
if self._len is None:
for x in self:
pass
return self._len
def before(self, dt, inc=False):
""" Returns the last recurrence before the given datetime instance. The
inc keyword defines what happens if dt is an occurrence. With
inc=True, if dt itself is an occurrence, it will be returned. """
if self._cache_complete:
gen = self._cache
else:
gen = self
last = None
if inc:
for i in gen:
if i > dt:
break
last = i
else:
for i in gen:
if i >= dt:
break
last = i
return last
def after(self, dt, inc=False):
""" Returns the first recurrence after the given datetime instance. The
inc keyword defines what happens if dt is an occurrence. With
inc=True, if dt itself is an occurrence, it will be returned. """
if self._cache_complete:
gen = self._cache
else:
gen = self
if inc:
for i in gen:
if i >= dt:
return i
else:
for i in gen:
if i > dt:
return i
return None
def xafter(self, dt, count=None, inc=False):
"""
Generator which yields up to `count` recurrences after the given
datetime instance, equivalent to `after`.
:param dt:
The datetime at which to start generating recurrences.
:param count:
The maximum number of recurrences to generate. If `None` (default),
dates are generated until the recurrence rule is exhausted.
:param inc:
If `dt` is an instance of the rule and `inc` is `True`, it is
included in the output.
:yields: Yields a sequence of `datetime` objects.
"""
if self._cache_complete:
gen = self._cache
else:
gen = self
# Select the comparison function
if inc:
comp = lambda dc, dtc: dc >= dtc
else:
comp = lambda dc, dtc: dc > dtc
# Generate dates
n = 0
for d in gen:
if comp(d, dt):
if count is not None:
n += 1
if n > count:
break
yield d
def between(self, after, before, inc=False, count=1):
""" Returns all the occurrences of the rrule between after and before.
The inc keyword defines what happens if after and/or before are
themselves occurrences. With inc=True, they will be included in the
list, if they are found in the recurrence set. """
if self._cache_complete:
gen = self._cache
else:
gen = self
started = False
l = []
if inc:
for i in gen:
if i > before:
break
elif not started:
if i >= after:
started = True
l.append(i)
else:
l.append(i)
else:
for i in gen:
if i >= before:
break
elif not started:
if i > after:
started = True
l.append(i)
else:
l.append(i)
return l
class rrule(rrulebase):
"""
That's the base of the rrule operation. It accepts all the keywords
defined in the RFC as its constructor parameters (except byday,
which was renamed to byweekday) and more. The constructor prototype is::
rrule(freq)
Where freq must be one of YEARLY, MONTHLY, WEEKLY, DAILY, HOURLY, MINUTELY,
or SECONDLY.
.. note::
Per RFC section 3.3.10, recurrence instances falling on invalid dates
and times are ignored rather than coerced:
Recurrence rules may generate recurrence instances with an invalid
date (e.g., February 30) or nonexistent local time (e.g., 1:30 AM
on a day where the local time is moved forward by an hour at 1:00
AM). Such recurrence instances MUST be ignored and MUST NOT be
counted as part of the recurrence set.
This can lead to possibly surprising behavior when, for example, the
start date occurs at the end of the month:
>>> from dateutil.rrule import rrule, MONTHLY
>>> from datetime import datetime
>>> start_date = datetime(2014, 12, 31)
>>> list(rrule(freq=MONTHLY, count=4, dtstart=start_date))
... # doctest: +NORMALIZE_WHITESPACE
[datetime.datetime(2014, 12, 31, 0, 0),
datetime.datetime(2015, 1, 31, 0, 0),
datetime.datetime(2015, 3, 31, 0, 0),
datetime.datetime(2015, 5, 31, 0, 0)]
Additionally, it supports the following keyword arguments:
:param dtstart:
The recurrence start. Besides being the base for the recurrence,
missing parameters in the final recurrence instances will also be
extracted from this date. If not given, datetime.now() will be used
instead.
:param interval:
The interval between each freq iteration. For example, when using
YEARLY, an interval of 2 means once every two years, but with HOURLY,
it means once every two hours. The default interval is 1.
:param wkst:
The week start day. Must be one of the MO, TU, WE constants, or an
integer, specifying the first day of the week. This will affect
recurrences based on weekly periods. The default week start is got
from calendar.firstweekday(), and may be modified by
calendar.setfirstweekday().
:param count:
If given, this determines how many occurrences will be generated.
.. note::
As of version 2.5.0, the use of the keyword ``until`` in conjunction
with ``count`` is deprecated, to make sure ``dateutil`` is fully
compliant with `RFC-5545 Sec. 3.3.10 <https://tools.ietf.org/
html/rfc5545#section-3.3.10>`_. Therefore, ``until`` and ``count``
**must not** occur in the same call to ``rrule``.
:param until:
If given, this must be a datetime instance specifying the upper-bound
limit of the recurrence. The last recurrence in the rule is the greatest
datetime that is less than or equal to the value specified in the
``until`` parameter.
.. note::
As of version 2.5.0, the use of the keyword ``until`` in conjunction
with ``count`` is deprecated, to make sure ``dateutil`` is fully
compliant with `RFC-5545 Sec. 3.3.10 <https://tools.ietf.org/
html/rfc5545#section-3.3.10>`_. Therefore, ``until`` and ``count``
**must not** occur in the same call to ``rrule``.
:param bysetpos:
If given, it must be either an integer, or a sequence of integers,
positive or negative. Each given integer will specify an occurrence
number, corresponding to the nth occurrence of the rule inside the
frequency period. For example, a bysetpos of -1 if combined with a
MONTHLY frequency, and a byweekday of (MO, TU, WE, TH, FR), will
result in the last work day of every month.
:param bymonth:
If given, it must be either an integer, or a sequence of integers,
meaning the months to apply the recurrence to.
:param bymonthday:
If given, it must be either an integer, or a sequence of integers,
meaning the month days to apply the recurrence to.
:param byyearday:
If given, it must be either an integer, or a sequence of integers,
meaning the year days to apply the recurrence to.
:param byeaster:
If given, it must be either an integer, or a sequence of integers,
positive or negative. Each integer will define an offset from the
Easter Sunday. Passing the offset 0 to byeaster will yield the Easter
Sunday itself. This is an extension to the RFC specification.
:param byweekno:
If given, it must be either an integer, or a sequence of integers,
meaning the week numbers to apply the recurrence to. Week numbers
have the meaning described in ISO8601, that is, the first week of
the year is that containing at least four days of the new year.
:param byweekday:
If given, it must be either an integer (0 == MO), a sequence of
integers, one of the weekday constants (MO, TU, etc), or a sequence
of these constants. When given, these variables will define the
weekdays where the recurrence will be applied. It's also possible to
use an argument n for the weekday instances, which will mean the nth
occurrence of this weekday in the period. For example, with MONTHLY,
or with YEARLY and BYMONTH, using FR(+1) in byweekday will specify the
first friday of the month where the recurrence happens. Notice that in
the RFC documentation, this is specified as BYDAY, but was renamed to
avoid the ambiguity of that keyword.
:param byhour:
If given, it must be either an integer, or a sequence of integers,
meaning the hours to apply the recurrence to.
:param byminute:
If given, it must be either an integer, or a sequence of integers,
meaning the minutes to apply the recurrence to.
:param bysecond:
If given, it must be either an integer, or a sequence of integers,
meaning the seconds to apply the recurrence to.
:param cache:
If given, it must be a boolean value specifying to enable or disable
caching of results. If you will use the same rrule instance multiple
times, enabling caching will improve the performance considerably.
"""
def __init__(self, freq, dtstart=None,
interval=1, wkst=None, count=None, until=None, bysetpos=None,
bymonth=None, bymonthday=None, byyearday=None, byeaster=None,
byweekno=None, byweekday=None,
byhour=None, byminute=None, bysecond=None,
cache=False):
super(rrule, self).__init__(cache)
global easter
if not dtstart:
if until and until.tzinfo:
dtstart = datetime.datetime.now(tz=until.tzinfo).replace(microsecond=0)
else:
dtstart = datetime.datetime.now().replace(microsecond=0)
elif not isinstance(dtstart, datetime.datetime):
dtstart = datetime.datetime.fromordinal(dtstart.toordinal())
else:
dtstart = dtstart.replace(microsecond=0)
self._dtstart = dtstart
self._tzinfo = dtstart.tzinfo
self._freq = freq
self._interval = interval
self._count = count
# Cache the original byxxx rules, if they are provided, as the _byxxx
# attributes do not necessarily map to the inputs, and this can be
# a problem in generating the strings. Only store things if they've
# been supplied (the string retrieval will just use .get())
self._original_rule = {}
if until and not isinstance(until, datetime.datetime):
until = datetime.datetime.fromordinal(until.toordinal())
self._until = until
if self._dtstart and self._until:
if (self._dtstart.tzinfo is not None) != (self._until.tzinfo is not None):
# According to RFC5545 Section 3.3.10:
# https://tools.ietf.org/html/rfc5545#section-3.3.10
#
# > If the "DTSTART" property is specified as a date with UTC
# > time or a date with local time and time zone reference,
# > then the UNTIL rule part MUST be specified as a date with
# > UTC time.
raise ValueError(
'RRULE UNTIL values must be specified in UTC when DTSTART '
'is timezone-aware'
)
if count is not None and until:
warn("Using both 'count' and 'until' is inconsistent with RFC 5545"
" and has been deprecated in dateutil. Future versions will "
"raise an error.", DeprecationWarning)
if wkst is None:
self._wkst = calendar.firstweekday()
elif isinstance(wkst, integer_types):
self._wkst = wkst
else:
self._wkst = wkst.weekday
if bysetpos is None:
self._bysetpos = None
elif isinstance(bysetpos, integer_types):
if bysetpos == 0 or not (-366 <= bysetpos <= 366):
raise ValueError("bysetpos must be between 1 and 366, "
"or between -366 and -1")
self._bysetpos = (bysetpos,)
else:
self._bysetpos = tuple(bysetpos)
for pos in self._bysetpos:
if pos == 0 or not (-366 <= pos <= 366):
raise ValueError("bysetpos must be between 1 and 366, "
"or between -366 and -1")
if self._bysetpos:
self._original_rule['bysetpos'] = self._bysetpos
if (byweekno is None and byyearday is None and bymonthday is None and
byweekday is None and byeaster is None):
if freq == YEARLY:
if bymonth is None:
bymonth = dtstart.month
self._original_rule['bymonth'] = None
bymonthday = dtstart.day
self._original_rule['bymonthday'] = None
elif freq == MONTHLY:
bymonthday = dtstart.day
self._original_rule['bymonthday'] = None
elif freq == WEEKLY:
byweekday = dtstart.weekday()
self._original_rule['byweekday'] = None
# bymonth
if bymonth is None:
self._bymonth = None
else:
if isinstance(bymonth, integer_types):
bymonth = (bymonth,)
self._bymonth = tuple(sorted(set(bymonth)))
if 'bymonth' not in self._original_rule:
self._original_rule['bymonth'] = self._bymonth
# byyearday
if byyearday is None:
self._byyearday = None
else:
if isinstance(byyearday, integer_types):
byyearday = (byyearday,)
self._byyearday = tuple(sorted(set(byyearday)))
self._original_rule['byyearday'] = self._byyearday
# byeaster
if byeaster is not None:
if not easter:
from dateutil import easter
if isinstance(byeaster, integer_types):
self._byeaster = (byeaster,)
else:
self._byeaster = tuple(sorted(byeaster))
self._original_rule['byeaster'] = self._byeaster
else:
self._byeaster = None
# bymonthday
if bymonthday is None:
self._bymonthday = ()
self._bynmonthday = ()
else:
if isinstance(bymonthday, integer_types):
bymonthday = (bymonthday,)
bymonthday = set(bymonthday) # Ensure it's unique
self._bymonthday = tuple(sorted(x for x in bymonthday if x > 0))
self._bynmonthday = tuple(sorted(x for x in bymonthday if x < 0))
# Storing positive numbers first, then negative numbers
if 'bymonthday' not in self._original_rule:
self._original_rule['bymonthday'] = tuple(
itertools.chain(self._bymonthday, self._bynmonthday))
# byweekno
if byweekno is None:
self._byweekno = None
else:
if isinstance(byweekno, integer_types):
byweekno = (byweekno,)
self._byweekno = tuple(sorted(set(byweekno)))
self._original_rule['byweekno'] = self._byweekno
# byweekday / bynweekday
if byweekday is None:
self._byweekday = None
self._bynweekday = None
else:
# If it's one of the valid non-sequence types, convert to a
# single-element sequence before the iterator that builds the
# byweekday set.
if isinstance(byweekday, integer_types) or hasattr(byweekday, "n"):
byweekday = (byweekday,)
self._byweekday = set()
self._bynweekday = set()
for wday in byweekday:
if isinstance(wday, integer_types):
self._byweekday.add(wday)
elif not wday.n or freq > MONTHLY:
self._byweekday.add(wday.weekday)
else:
self._bynweekday.add((wday.weekday, wday.n))
if not self._byweekday:
self._byweekday = None
elif not self._bynweekday:
self._bynweekday = None
if self._byweekday is not None:
self._byweekday = tuple(sorted(self._byweekday))
orig_byweekday = [weekday(x) for x in self._byweekday]
else:
orig_byweekday = ()
if self._bynweekday is not None:
self._bynweekday = tuple(sorted(self._bynweekday))
orig_bynweekday = [weekday(*x) for x in self._bynweekday]
else:
orig_bynweekday = ()
if 'byweekday' not in self._original_rule:
self._original_rule['byweekday'] = tuple(itertools.chain(
orig_byweekday, orig_bynweekday))
# byhour
if byhour is None:
if freq < HOURLY:
self._byhour = {dtstart.hour}
else:
self._byhour = None
else:
if isinstance(byhour, integer_types):
byhour = (byhour,)
if freq == HOURLY:
self._byhour = self.__construct_byset(start=dtstart.hour,
byxxx=byhour,
base=24)
else:
self._byhour = set(byhour)
self._byhour = tuple(sorted(self._byhour))
self._original_rule['byhour'] = self._byhour
# byminute
if byminute is None:
if freq < MINUTELY:
self._byminute = {dtstart.minute}
else:
self._byminute = None
else:
if isinstance(byminute, integer_types):
byminute = (byminute,)
if freq == MINUTELY:
self._byminute = self.__construct_byset(start=dtstart.minute,
byxxx=byminute,
base=60)
else:
self._byminute = set(byminute)
self._byminute = tuple(sorted(self._byminute))
self._original_rule['byminute'] = self._byminute
# bysecond
if bysecond is None:
if freq < SECONDLY:
self._bysecond = ((dtstart.second,))
else:
self._bysecond = None
else:
if isinstance(bysecond, integer_types):
bysecond = (bysecond,)
self._bysecond = set(bysecond)
if freq == SECONDLY:
self._bysecond = self.__construct_byset(start=dtstart.second,
byxxx=bysecond,
base=60)
else:
self._bysecond = set(bysecond)
self._bysecond = tuple(sorted(self._bysecond))
self._original_rule['bysecond'] = self._bysecond
if self._freq >= HOURLY:
self._timeset = None
else:
self._timeset = []
for hour in self._byhour:
for minute in self._byminute:
for second in self._bysecond:
self._timeset.append(
datetime.time(hour, minute, second,
tzinfo=self._tzinfo))
self._timeset.sort()
self._timeset = tuple(self._timeset)
def __str__(self):
"""
Output a string that would generate this RRULE if passed to rrulestr.
This is mostly compatible with RFC5545, except for the
dateutil-specific extension BYEASTER.
"""
output = []
h, m, s = [None] * 3
if self._dtstart:
output.append(self._dtstart.strftime('DTSTART:%Y%m%dT%H%M%S'))
h, m, s = self._dtstart.timetuple()[3:6]
parts = ['FREQ=' + FREQNAMES[self._freq]]
if self._interval != 1:
parts.append('INTERVAL=' + str(self._interval))
if self._wkst:
parts.append('WKST=' + repr(weekday(self._wkst))[0:2])
if self._count is not None:
parts.append('COUNT=' + str(self._count))
if self._until:
parts.append(self._until.strftime('UNTIL=%Y%m%dT%H%M%S'))
if self._original_rule.get('byweekday') is not None:
# The str() method on weekday objects doesn't generate
# RFC5545-compliant strings, so we should modify that.
original_rule = dict(self._original_rule)
wday_strings = []
for wday in original_rule['byweekday']:
if wday.n:
wday_strings.append('{n:+d}{wday}'.format(
n=wday.n,
wday=repr(wday)[0:2]))
else:
wday_strings.append(repr(wday))
original_rule['byweekday'] = wday_strings
else:
original_rule = self._original_rule
partfmt = '{name}={vals}'
for name, key in [('BYSETPOS', 'bysetpos'),
('BYMONTH', 'bymonth'),
('BYMONTHDAY', 'bymonthday'),
('BYYEARDAY', 'byyearday'),
('BYWEEKNO', 'byweekno'),
('BYDAY', 'byweekday'),
('BYHOUR', 'byhour'),
('BYMINUTE', 'byminute'),
('BYSECOND', 'bysecond'),
('BYEASTER', 'byeaster')]:
value = original_rule.get(key)
if value:
parts.append(partfmt.format(name=name, vals=(','.join(str(v)
for v in value))))
output.append('RRULE:' + ';'.join(parts))
return '\n'.join(output)
def replace(self, **kwargs):
"""Return new rrule with same attributes except for those attributes given new
values by whichever keyword arguments are specified."""
new_kwargs = {"interval": self._interval,
"count": self._count,
"dtstart": self._dtstart,
"freq": self._freq,
"until": self._until,
"wkst": self._wkst,
"cache": False if self._cache is None else True }
new_kwargs.update(self._original_rule)
new_kwargs.update(kwargs)
return rrule(**new_kwargs)
def _iter(self):
year, month, day, hour, minute, second, weekday, yearday, _ = \
self._dtstart.timetuple()
# Some local variables to speed things up a bit
freq = self._freq
interval = self._interval
wkst = self._wkst
until = self._until
bymonth = self._bymonth
byweekno = self._byweekno
byyearday = self._byyearday
byweekday = self._byweekday
byeaster = self._byeaster
bymonthday = self._bymonthday
bynmonthday = self._bynmonthday
bysetpos = self._bysetpos
byhour = self._byhour
byminute = self._byminute
bysecond = self._bysecond
ii = _iterinfo(self)
ii.rebuild(year, month)
getdayset = {YEARLY: ii.ydayset,
MONTHLY: ii.mdayset,
WEEKLY: ii.wdayset,
DAILY: ii.ddayset,
HOURLY: ii.ddayset,
MINUTELY: ii.ddayset,
SECONDLY: ii.ddayset}[freq]
if freq < HOURLY:
timeset = self._timeset
else:
gettimeset = {HOURLY: ii.htimeset,
MINUTELY: ii.mtimeset,
SECONDLY: ii.stimeset}[freq]
if ((freq >= HOURLY and
self._byhour and hour not in self._byhour) or
(freq >= MINUTELY and
self._byminute and minute not in self._byminute) or
(freq >= SECONDLY and
self._bysecond and second not in self._bysecond)):
timeset = ()
else:
timeset = gettimeset(hour, minute, second)
total = 0
count = self._count
while True:
# Get dayset with the right frequency
dayset, start, end = getdayset(year, month, day)
# Do the "hard" work ;-)
filtered = False
for i in dayset[start:end]:
if ((bymonth and ii.mmask[i] not in bymonth) or
(byweekno and not ii.wnomask[i]) or
(byweekday and ii.wdaymask[i] not in byweekday) or
(ii.nwdaymask and not ii.nwdaymask[i]) or
(byeaster and not ii.eastermask[i]) or
((bymonthday or bynmonthday) and
ii.mdaymask[i] not in bymonthday and
ii.nmdaymask[i] not in bynmonthday) or
(byyearday and
((i < ii.yearlen and i+1 not in byyearday and
-ii.yearlen+i not in byyearday) or
(i >= ii.yearlen and i+1-ii.yearlen not in byyearday and
-ii.nextyearlen+i-ii.yearlen not in byyearday)))):
dayset[i] = None
filtered = True
# Output results
if bysetpos and timeset:
poslist = []
for pos in bysetpos:
if pos < 0:
daypos, timepos = divmod(pos, len(timeset))
else:
daypos, timepos = divmod(pos-1, len(timeset))
try:
i = [x for x in dayset[start:end]
if x is not None][daypos]
time = timeset[timepos]
except IndexError:
pass
else:
date = datetime.date.fromordinal(ii.yearordinal+i)
res = datetime.datetime.combine(date, time)
if res not in poslist:
poslist.append(res)
poslist.sort()
for res in poslist:
if until and res > until:
self._len = total
return
elif res >= self._dtstart:
if count is not None:
count -= 1
if count < 0:
self._len = total
return
total += 1
yield res
else:
for i in dayset[start:end]:
if i is not None:
date = datetime.date.fromordinal(ii.yearordinal + i)
for time in timeset:
res = datetime.datetime.combine(date, time)
if until and res > until:
self._len = total
return
elif res >= self._dtstart:
if count is not None:
count -= 1
if count < 0:
self._len = total
return
total += 1
yield res
# Handle frequency and interval
fixday = False
if freq == YEARLY:
year += interval
if year > datetime.MAXYEAR:
self._len = total
return
ii.rebuild(year, month)
elif freq == MONTHLY:
month += interval
if month > 12:
div, mod = divmod(month, 12)
month = mod
year += div
if month == 0:
month = 12
year -= 1
if year > datetime.MAXYEAR:
self._len = total
return
ii.rebuild(year, month)
elif freq == WEEKLY:
if wkst > weekday:
day += -(weekday+1+(6-wkst))+self._interval*7
else:
day += -(weekday-wkst)+self._interval*7
weekday = wkst
fixday = True
elif freq == DAILY:
day += interval
fixday = True
elif freq == HOURLY:
if filtered:
# Jump to one iteration before next day
hour += ((23-hour)//interval)*interval
if byhour:
ndays, hour = self.__mod_distance(value=hour,
byxxx=self._byhour,
base=24)
else:
ndays, hour = divmod(hour+interval, 24)
if ndays:
day += ndays
fixday = True
timeset = gettimeset(hour, minute, second)
elif freq == MINUTELY:
if filtered:
# Jump to one iteration before next day
minute += ((1439-(hour*60+minute))//interval)*interval
valid = False
rep_rate = (24*60)
for j in range(rep_rate // gcd(interval, rep_rate)):
if byminute:
nhours, minute = \
self.__mod_distance(value=minute,
byxxx=self._byminute,
base=60)
else:
nhours, minute = divmod(minute+interval, 60)
div, hour = divmod(hour+nhours, 24)
if div:
day += div
fixday = True
filtered = False
if not byhour or hour in byhour:
valid = True
break
if not valid:
raise ValueError('Invalid combination of interval and ' +
'byhour resulting in empty rule.')
timeset = gettimeset(hour, minute, second)
elif freq == SECONDLY:
if filtered:
# Jump to one iteration before next day
second += (((86399 - (hour * 3600 + minute * 60 + second))
// interval) * interval)
rep_rate = (24 * 3600)
valid = False
for j in range(0, rep_rate // gcd(interval, rep_rate)):
if bysecond:
nminutes, second = \
self.__mod_distance(value=second,
byxxx=self._bysecond,
base=60)
else:
nminutes, second = divmod(second+interval, 60)
div, minute = divmod(minute+nminutes, 60)
if div:
hour += div
div, hour = divmod(hour, 24)
if div:
day += div
fixday = True
if ((not byhour or hour in byhour) and
(not byminute or minute in byminute) and
(not bysecond or second in bysecond)):
valid = True
break
if not valid:
raise ValueError('Invalid combination of interval, ' +
'byhour and byminute resulting in empty' +
' rule.')
timeset = gettimeset(hour, minute, second)
if fixday and day > 28:
daysinmonth = calendar.monthrange(year, month)[1]
if day > daysinmonth:
while day > daysinmonth:
day -= daysinmonth
month += 1
if month == 13:
month = 1
year += 1
if year > datetime.MAXYEAR:
self._len = total
return
daysinmonth = calendar.monthrange(year, month)[1]
ii.rebuild(year, month)
def __construct_byset(self, start, byxxx, base):
"""
If a `BYXXX` sequence is passed to the constructor at the same level as
`FREQ` (e.g. `FREQ=HOURLY,BYHOUR={2,4,7},INTERVAL=3`), there are some
specifications which cannot be reached given some starting conditions.
This occurs whenever the interval is not coprime with the base of a
given unit and the difference between the starting position and the
ending position is not coprime with the greatest common denominator
between the interval and the base. For example, with a FREQ of hourly
starting at 17:00 and an interval of 4, the only valid values for
BYHOUR would be {21, 1, 5, 9, 13, 17}, because 4 and 24 are not
coprime.
:param start:
Specifies the starting position.
:param byxxx:
An iterable containing the list of allowed values.
:param base:
The largest allowable value for the specified frequency (e.g.
24 hours, 60 minutes).
This does not preserve the type of the iterable, returning a set, since
the values should be unique and the order is irrelevant, this will
speed up later lookups.
In the event of an empty set, raises a :exception:`ValueError`, as this
results in an empty rrule.
"""
cset = set()
# Support a single byxxx value.
if isinstance(byxxx, integer_types):
byxxx = (byxxx, )
for num in byxxx:
i_gcd = gcd(self._interval, base)
# Use divmod rather than % because we need to wrap negative nums.
if i_gcd == 1 or divmod(num - start, i_gcd)[1] == 0:
cset.add(num)
if len(cset) == 0:
raise ValueError("Invalid rrule byxxx generates an empty set.")
return cset
def __mod_distance(self, value, byxxx, base):
"""
Calculates the next value in a sequence where the `FREQ` parameter is
specified along with a `BYXXX` parameter at the same "level"
(e.g. `HOURLY` specified with `BYHOUR`).
:param value:
The old value of the component.
:param byxxx:
The `BYXXX` set, which should have been generated by
`rrule._construct_byset`, or something else which checks that a
valid rule is present.
:param base:
The largest allowable value for the specified frequency (e.g.
24 hours, 60 minutes).
If a valid value is not found after `base` iterations (the maximum
number before the sequence would start to repeat), this raises a
:exception:`ValueError`, as no valid values were found.
This returns a tuple of `divmod(n*interval, base)`, where `n` is the
smallest number of `interval` repetitions until the next specified
value in `byxxx` is found.
"""
accumulator = 0
for ii in range(1, base + 1):
# Using divmod() over % to account for negative intervals
div, value = divmod(value + self._interval, base)
accumulator += div
if value in byxxx:
return (accumulator, value)
class _iterinfo(object):
__slots__ = ["rrule", "lastyear", "lastmonth",
"yearlen", "nextyearlen", "yearordinal", "yearweekday",
"mmask", "mrange", "mdaymask", "nmdaymask",
"wdaymask", "wnomask", "nwdaymask", "eastermask"]
def __init__(self, rrule):
for attr in self.__slots__:
setattr(self, attr, None)
self.rrule = rrule
def rebuild(self, year, month):
# Every mask is 7 days longer to handle cross-year weekly periods.
rr = self.rrule
if year != self.lastyear:
self.yearlen = 365 + calendar.isleap(year)
self.nextyearlen = 365 + calendar.isleap(year + 1)
firstyday = datetime.date(year, 1, 1)
self.yearordinal = firstyday.toordinal()
self.yearweekday = firstyday.weekday()
wday = datetime.date(year, 1, 1).weekday()
if self.yearlen == 365:
self.mmask = M365MASK
self.mdaymask = MDAY365MASK
self.nmdaymask = NMDAY365MASK
self.wdaymask = WDAYMASK[wday:]
self.mrange = M365RANGE
else:
self.mmask = M366MASK
self.mdaymask = MDAY366MASK
self.nmdaymask = NMDAY366MASK
self.wdaymask = WDAYMASK[wday:]
self.mrange = M366RANGE
if not rr._byweekno:
self.wnomask = None
else:
self.wnomask = [0]*(self.yearlen+7)
# no1wkst = firstwkst = self.wdaymask.index(rr._wkst)
no1wkst = firstwkst = (7-self.yearweekday+rr._wkst) % 7
if no1wkst >= 4:
no1wkst = 0
# Number of days in the year, plus the days we got
# from last year.
wyearlen = self.yearlen+(self.yearweekday-rr._wkst) % 7
else:
# Number of days in the year, minus the days we
# left in last year.
wyearlen = self.yearlen-no1wkst
div, mod = divmod(wyearlen, 7)
numweeks = div+mod//4
for n in rr._byweekno:
if n < 0:
n += numweeks+1
if not (0 < n <= numweeks):
continue
if n > 1:
i = no1wkst+(n-1)*7
if no1wkst != firstwkst:
i -= 7-firstwkst
else:
i = no1wkst
for j in range(7):
self.wnomask[i] = 1
i += 1
if self.wdaymask[i] == rr._wkst:
break
if 1 in rr._byweekno:
# Check week number 1 of next year as well
# TODO: Check -numweeks for next year.
i = no1wkst+numweeks*7
if no1wkst != firstwkst:
i -= 7-firstwkst
if i < self.yearlen:
# If week starts in next year, we
# don't care about it.
for j in range(7):
self.wnomask[i] = 1
i += 1
if self.wdaymask[i] == rr._wkst:
break
if no1wkst:
# Check last week number of last year as
# well. If no1wkst is 0, either the year
# started on week start, or week number 1
# got days from last year, so there are no
# days from last year's last week number in
# this year.
if -1 not in rr._byweekno:
lyearweekday = datetime.date(year-1, 1, 1).weekday()
lno1wkst = (7-lyearweekday+rr._wkst) % 7
lyearlen = 365+calendar.isleap(year-1)
if lno1wkst >= 4:
lno1wkst = 0
lnumweeks = 52+(lyearlen +
(lyearweekday-rr._wkst) % 7) % 7//4
else:
lnumweeks = 52+(self.yearlen-no1wkst) % 7//4
else:
lnumweeks = -1
if lnumweeks in rr._byweekno:
for i in range(no1wkst):
self.wnomask[i] = 1
if (rr._bynweekday and (month != self.lastmonth or
year != self.lastyear)):
ranges = []
if rr._freq == YEARLY:
if rr._bymonth:
for month in rr._bymonth:
ranges.append(self.mrange[month-1:month+1])
else:
ranges = [(0, self.yearlen)]
elif rr._freq == MONTHLY:
ranges = [self.mrange[month-1:month+1]]
if ranges:
# Weekly frequency won't get here, so we may not
# care about cross-year weekly periods.
self.nwdaymask = [0]*self.yearlen
for first, last in ranges:
last -= 1
for wday, n in rr._bynweekday:
if n < 0:
i = last+(n+1)*7
i -= (self.wdaymask[i]-wday) % 7
else:
i = first+(n-1)*7
i += (7-self.wdaymask[i]+wday) % 7
if first <= i <= last:
self.nwdaymask[i] = 1
if rr._byeaster:
self.eastermask = [0]*(self.yearlen+7)
eyday = easter.easter(year).toordinal()-self.yearordinal
for offset in rr._byeaster:
self.eastermask[eyday+offset] = 1
self.lastyear = year
self.lastmonth = month
def ydayset(self, year, month, day):
return list(range(self.yearlen)), 0, self.yearlen
def mdayset(self, year, month, day):
dset = [None]*self.yearlen
start, end = self.mrange[month-1:month+1]
for i in range(start, end):
dset[i] = i
return dset, start, end
def wdayset(self, year, month, day):
# We need to handle cross-year weeks here.
dset = [None]*(self.yearlen+7)
i = datetime.date(year, month, day).toordinal()-self.yearordinal
start = i
for j in range(7):
dset[i] = i
i += 1
# if (not (0 <= i < self.yearlen) or
# self.wdaymask[i] == self.rrule._wkst):
# This will cross the year boundary, if necessary.
if self.wdaymask[i] == self.rrule._wkst:
break
return dset, start, i
def ddayset(self, year, month, day):
dset = [None] * self.yearlen
i = datetime.date(year, month, day).toordinal() - self.yearordinal
dset[i] = i
return dset, i, i + 1
def htimeset(self, hour, minute, second):
tset = []
rr = self.rrule
for minute in rr._byminute:
for second in rr._bysecond:
tset.append(datetime.time(hour, minute, second,
tzinfo=rr._tzinfo))
tset.sort()
return tset
def mtimeset(self, hour, minute, second):
tset = []
rr = self.rrule
for second in rr._bysecond:
tset.append(datetime.time(hour, minute, second, tzinfo=rr._tzinfo))
tset.sort()
return tset
def stimeset(self, hour, minute, second):
return (datetime.time(hour, minute, second,
tzinfo=self.rrule._tzinfo),)
class rruleset(rrulebase):
""" The rruleset type allows more complex recurrence setups, mixing
multiple rules, dates, exclusion rules, and exclusion dates. The type
constructor takes the following keyword arguments:
:param cache: If True, caching of results will be enabled, improving
performance of multiple queries considerably. """
class _genitem(object):
def __init__(self, genlist, gen):
try:
self.dt = advance_iterator(gen)
genlist.append(self)
except StopIteration:
pass
self.genlist = genlist
self.gen = gen
def __next__(self):
try:
self.dt = advance_iterator(self.gen)
except StopIteration:
if self.genlist[0] is self:
heapq.heappop(self.genlist)
else:
self.genlist.remove(self)
heapq.heapify(self.genlist)
next = __next__
def __lt__(self, other):
return self.dt < other.dt
def __gt__(self, other):
return self.dt > other.dt
def __eq__(self, other):
return self.dt == other.dt
def __ne__(self, other):
return self.dt != other.dt
def __init__(self, cache=False):
super(rruleset, self).__init__(cache)
self._rrule = []
self._rdate = []
self._exrule = []
self._exdate = []
@_invalidates_cache
def rrule(self, rrule):
""" Include the given :py:class:`rrule` instance in the recurrence set
generation. """
self._rrule.append(rrule)
@_invalidates_cache
def rdate(self, rdate):
""" Include the given :py:class:`datetime` instance in the recurrence
set generation. """
self._rdate.append(rdate)
@_invalidates_cache
def exrule(self, exrule):
""" Include the given rrule instance in the recurrence set exclusion
list. Dates which are part of the given recurrence rules will not
be generated, even if some inclusive rrule or rdate matches them.
"""
self._exrule.append(exrule)
@_invalidates_cache
def exdate(self, exdate):
""" Include the given datetime instance in the recurrence set
exclusion list. Dates included that way will not be generated,
even if some inclusive rrule or rdate matches them. """
self._exdate.append(exdate)
def _iter(self):
rlist = []
self._rdate.sort()
self._genitem(rlist, iter(self._rdate))
for gen in [iter(x) for x in self._rrule]:
self._genitem(rlist, gen)
exlist = []
self._exdate.sort()
self._genitem(exlist, iter(self._exdate))
for gen in [iter(x) for x in self._exrule]:
self._genitem(exlist, gen)
lastdt = None
total = 0
heapq.heapify(rlist)
heapq.heapify(exlist)
while rlist:
ritem = rlist[0]
if not lastdt or lastdt != ritem.dt:
while exlist and exlist[0] < ritem:
exitem = exlist[0]
advance_iterator(exitem)
if exlist and exlist[0] is exitem:
heapq.heapreplace(exlist, exitem)
if not exlist or ritem != exlist[0]:
total += 1
yield ritem.dt
lastdt = ritem.dt
advance_iterator(ritem)
if rlist and rlist[0] is ritem:
heapq.heapreplace(rlist, ritem)
self._len = total
class _rrulestr(object):
""" Parses a string representation of a recurrence rule or set of
recurrence rules.
:param s:
Required, a string defining one or more recurrence rules.
:param dtstart:
If given, used as the default recurrence start if not specified in the
rule string.
:param cache:
If set ``True`` caching of results will be enabled, improving
performance of multiple queries considerably.
:param unfold:
If set ``True`` indicates that a rule string is split over more
than one line and should be joined before processing.
:param forceset:
If set ``True`` forces a :class:`dateutil.rrule.rruleset` to
be returned.
:param compatible:
If set ``True`` forces ``unfold`` and ``forceset`` to be ``True``.
:param ignoretz:
If set ``True``, time zones in parsed strings are ignored and a naive
:class:`datetime.datetime` object is returned.
:param tzids:
If given, a callable or mapping used to retrieve a
:class:`datetime.tzinfo` from a string representation.
Defaults to :func:`dateutil.tz.gettz`.
:param tzinfos:
Additional time zone names / aliases which may be present in a string
representation. See :func:`dateutil.parser.parse` for more
information.
:return:
Returns a :class:`dateutil.rrule.rruleset` or
:class:`dateutil.rrule.rrule`
"""
_freq_map = {"YEARLY": YEARLY,
"MONTHLY": MONTHLY,
"WEEKLY": WEEKLY,
"DAILY": DAILY,
"HOURLY": HOURLY,
"MINUTELY": MINUTELY,
"SECONDLY": SECONDLY}
_weekday_map = {"MO": 0, "TU": 1, "WE": 2, "TH": 3,
"FR": 4, "SA": 5, "SU": 6}
def _handle_int(self, rrkwargs, name, value, **kwargs):
rrkwargs[name.lower()] = int(value)
def _handle_int_list(self, rrkwargs, name, value, **kwargs):
rrkwargs[name.lower()] = [int(x) for x in value.split(',')]
_handle_INTERVAL = _handle_int
_handle_COUNT = _handle_int
_handle_BYSETPOS = _handle_int_list
_handle_BYMONTH = _handle_int_list
_handle_BYMONTHDAY = _handle_int_list
_handle_BYYEARDAY = _handle_int_list
_handle_BYEASTER = _handle_int_list
_handle_BYWEEKNO = _handle_int_list
_handle_BYHOUR = _handle_int_list
_handle_BYMINUTE = _handle_int_list
_handle_BYSECOND = _handle_int_list
def _handle_FREQ(self, rrkwargs, name, value, **kwargs):
rrkwargs["freq"] = self._freq_map[value]
def _handle_UNTIL(self, rrkwargs, name, value, **kwargs):
global parser
if not parser:
from dateutil import parser
try:
rrkwargs["until"] = parser.parse(value,
ignoretz=kwargs.get("ignoretz"),
tzinfos=kwargs.get("tzinfos"))
except ValueError:
raise ValueError("invalid until date")
def _handle_WKST(self, rrkwargs, name, value, **kwargs):
rrkwargs["wkst"] = self._weekday_map[value]
def _handle_BYWEEKDAY(self, rrkwargs, name, value, **kwargs):
"""
Two ways to specify this: +1MO or MO(+1)
"""
l = []
for wday in value.split(','):
if '(' in wday:
# If it's of the form TH(+1), etc.
splt = wday.split('(')
w = splt[0]
n = int(splt[1][:-1])
elif len(wday):
# If it's of the form +1MO
for i in range(len(wday)):
if wday[i] not in '+-0123456789':
break
n = wday[:i] or None
w = wday[i:]
if n:
n = int(n)
else:
raise ValueError("Invalid (empty) BYDAY specification.")
l.append(weekdays[self._weekday_map[w]](n))
rrkwargs["byweekday"] = l
_handle_BYDAY = _handle_BYWEEKDAY
def _parse_rfc_rrule(self, line,
dtstart=None,
cache=False,
ignoretz=False,
tzinfos=None):
if line.find(':') != -1:
name, value = line.split(':')
if name != "RRULE":
raise ValueError("unknown parameter name")
else:
value = line
rrkwargs = {}
for pair in value.split(';'):
name, value = pair.split('=')
name = name.upper()
value = value.upper()
try:
getattr(self, "_handle_"+name)(rrkwargs, name, value,
ignoretz=ignoretz,
tzinfos=tzinfos)
except AttributeError:
raise ValueError("unknown parameter '%s'" % name)
except (KeyError, ValueError):
raise ValueError("invalid '%s': %s" % (name, value))
return rrule(dtstart=dtstart, cache=cache, **rrkwargs)
def _parse_date_value(self, date_value, parms, rule_tzids,
ignoretz, tzids, tzinfos):
global parser
if not parser:
from dateutil import parser
datevals = []
value_found = False
TZID = None
for parm in parms:
if parm.startswith("TZID="):
try:
tzkey = rule_tzids[parm.split('TZID=')[-1]]
except KeyError:
continue
if tzids is None:
from . import tz
tzlookup = tz.gettz
elif callable(tzids):
tzlookup = tzids
else:
tzlookup = getattr(tzids, 'get', None)
if tzlookup is None:
msg = ('tzids must be a callable, mapping, or None, '
'not %s' % tzids)
raise ValueError(msg)
TZID = tzlookup(tzkey)
continue
# RFC 5445 3.8.2.4: The VALUE parameter is optional, but may be found
# only once.
if parm not in {"VALUE=DATE-TIME", "VALUE=DATE"}:
raise ValueError("unsupported parm: " + parm)
else:
if value_found:
msg = ("Duplicate value parameter found in: " + parm)
raise ValueError(msg)
value_found = True
for datestr in date_value.split(','):
date = parser.parse(datestr, ignoretz=ignoretz, tzinfos=tzinfos)
if TZID is not None:
if date.tzinfo is None:
date = date.replace(tzinfo=TZID)
else:
raise ValueError('DTSTART/EXDATE specifies multiple timezone')
datevals.append(date)
return datevals
def _parse_rfc(self, s,
dtstart=None,
cache=False,
unfold=False,
forceset=False,
compatible=False,
ignoretz=False,
tzids=None,
tzinfos=None):
global parser
if compatible:
forceset = True
unfold = True
TZID_NAMES = dict(map(
lambda x: (x.upper(), x),
re.findall('TZID=(?P<name>[^:]+):', s)
))
s = s.upper()
if not s.strip():
raise ValueError("empty string")
if unfold:
lines = s.splitlines()
i = 0
while i < len(lines):
line = lines[i].rstrip()
if not line:
del lines[i]
elif i > 0 and line[0] == " ":
lines[i-1] += line[1:]
del lines[i]
else:
i += 1
else:
lines = s.split()
if (not forceset and len(lines) == 1 and (s.find(':') == -1 or
s.startswith('RRULE:'))):
return self._parse_rfc_rrule(lines[0], cache=cache,
dtstart=dtstart, ignoretz=ignoretz,
tzinfos=tzinfos)
else:
rrulevals = []
rdatevals = []
exrulevals = []
exdatevals = []
for line in lines:
if not line:
continue
if line.find(':') == -1:
name = "RRULE"
value = line
else:
name, value = line.split(':', 1)
parms = name.split(';')
if not parms:
raise ValueError("empty property name")
name = parms[0]
parms = parms[1:]
if name == "RRULE":
for parm in parms:
raise ValueError("unsupported RRULE parm: "+parm)
rrulevals.append(value)
elif name == "RDATE":
for parm in parms:
if parm != "VALUE=DATE-TIME":
raise ValueError("unsupported RDATE parm: "+parm)
rdatevals.append(value)
elif name == "EXRULE":
for parm in parms:
raise ValueError("unsupported EXRULE parm: "+parm)
exrulevals.append(value)
elif name == "EXDATE":
exdatevals.extend(
self._parse_date_value(value, parms,
TZID_NAMES, ignoretz,
tzids, tzinfos)
)
elif name == "DTSTART":
dtvals = self._parse_date_value(value, parms, TZID_NAMES,
ignoretz, tzids, tzinfos)
if len(dtvals) != 1:
raise ValueError("Multiple DTSTART values specified:" +
value)
dtstart = dtvals[0]
else:
raise ValueError("unsupported property: "+name)
if (forceset or len(rrulevals) > 1 or rdatevals
or exrulevals or exdatevals):
if not parser and (rdatevals or exdatevals):
from dateutil import parser
rset = rruleset(cache=cache)
for value in rrulevals:
rset.rrule(self._parse_rfc_rrule(value, dtstart=dtstart,
ignoretz=ignoretz,
tzinfos=tzinfos))
for value in rdatevals:
for datestr in value.split(','):
rset.rdate(parser.parse(datestr,
ignoretz=ignoretz,
tzinfos=tzinfos))
for value in exrulevals:
rset.exrule(self._parse_rfc_rrule(value, dtstart=dtstart,
ignoretz=ignoretz,
tzinfos=tzinfos))
for value in exdatevals:
rset.exdate(value)
if compatible and dtstart:
rset.rdate(dtstart)
return rset
else:
return self._parse_rfc_rrule(rrulevals[0],
dtstart=dtstart,
cache=cache,
ignoretz=ignoretz,
tzinfos=tzinfos)
def __call__(self, s, **kwargs):
return self._parse_rfc(s, **kwargs)
rrulestr = _rrulestr()
# vim:ts=4:sw=4:et
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