Return an increment radix.

        :param int sign: -1, 0, or 1 as appropriate
        :param integer_part: the integer part
        :type integer_part: list of int
        :param non_repeating_part: the fractional part
        :type non_repeating_part: list of int
        :param int base: the base

        :returns: a Radix object with ``non_repeating_part`` rounded up
        :rtype: Radix

        Complexity: O(len(non_repeating_part + integer_part)

def _increment(sign, integer_part, non_repeating_part, base):
        """
        Return an increment radix.

        :param int sign: -1, 0, or 1 as appropriate
        :param integer_part: the integer part
        :type integer_part: list of int
        :param non_repeating_part: the fractional part
        :type non_repeating_part: list of int
        :param int base: the base

        :returns: a Radix object with ``non_repeating_part`` rounded up
        :rtype: Radix

        Complexity: O(len(non_repeating_part + integer_part)
        """
        (carry, non_repeating_part) = \
           Nats.carry_in(non_repeating_part, 1, base)
        (carry, integer_part) = \
           Nats.carry_in(integer_part, carry, base)
        return Radix(
           sign,
           integer_part if carry == 0 else [carry] + integer_part,
           non_repeating_part,
           [],
           base,
           False
        )