import math


def atan_norm(value):
    """The arctan function grows more and more slowly as its input
       increases, so it is applied in hope of reducing the influence
       of possible outliers.

    Args:
        value (int): Byte frequency of a byte integer between 0-255.

    Returns:
        float: arctan norm of the x value.
    """
    return (math.atan(value) * (2.0 / math.pi)) + 1.0