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 __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 __construct_byset ( self , start , byxxx , base ) : 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
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.
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 .