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The rrule module offers a small, complete, and very fast, implementation of
the recurrence rules documented in the
`iCalendar RFC <http://www.ietf.org/rfc/rfc2445.txt>`_,
including support for caching of results.
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zrrulebase.__contains__cCs|jdkr|D]}q|jS)z� Returns the number of recurrences in this set. It will have go
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zrrulebase.countcCsT|jr|j}n|}d}|r6|D]}||kr.qP|}qn|D]}||krJqP|}q:|S)z� Returns the last recurrence before the given datetime instance. The
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zrrulebase.afterNccsf|jr|j}n|}|r dd�}ndd�}d}|D]0}|||�r0|V|dk	r0|d7}||kr0qbq0dS)aH
        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.
        cSs||kSrNrC�ZdcZdtcrCrCrD�<lambda>��z"rrulebase.xafter.<locals>.<lambda>cSs||kSrNrCr�rCrCrDr��r�rNrr})r?r�rr�rm�compr@�drCrCrD�xafter�s

zrrulebase.xafterrc	Cs�|jr|j}n|}d}g}|r^|D]8}||kr4q�q"|sP||krZd}|�|�q"|�|�q"n>|D]8}||krtq�qb|s�||kr�d}|�|�qb|�|�qb|S)a 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. FT)r\rYrj)	r?r�r�r�rrm�started�lrlrCrCrD�between
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    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 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.
    :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:
        How many occurrences will be generated.

        .. note::
            As of version 2.5.0, the use of the ``until`` keyword together
            with the ``count`` keyword is deprecated per RFC-2445 Sec. 4.3.10.
    :param until:
        If given, this must be a datetime instance, that will specify the
        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 ``until`` keyword together
            with the ``count`` keyword is deprecated per RFC-2445 Sec. 4.3.10.
    :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 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 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.
     NrFcs.tt|��|�|s(tj��jdd�}n*t|tj�sFtj�|���}n|jdd�}||_	|j
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zrrule._itercCslt�}t|t�r|f}|D]8}t|j|�}|dksHt|||�ddkr|�|�qt|�dkrhtd��|S)a
        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.

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