Base Converter

baseN.py

#!python3
def baseN(num, b, numerals="0123456789abcdefghijklmnopqrstuvwxyz"):
    """
    Convert a number to an arbitrary base

    Parameters
    ----------------

    num: int, float
        A numeric non-complex value

    b: int
        The base to cast the number into

    numerals: str, list
        a string or list representing the series of characters used in the set
    """
    if b > len(numerals):
        raise ValueError("Base is larger than the provided character pool")
    if b < 2:
        raise ValueError("Base must be >= 2")
    strRep = str(num)
    try:
        import math
        decimals = strRep[strRep.index(".") + 1:]
        dOffsetLength = len(decimals)
        dOffset = b ** dOffsetLength
        num = math.floor(num * dOffset)
    except ValueError:
        # No decimal
        dOffsetLength = 0
    converted = ((num == 0) and numerals[0]) or (baseN(num // b, b, numerals).lstrip(numerals[0]) + numerals[num % b])
    if dOffsetLength > 0:
        negIndex = 0 - dOffsetLength
        converted = str(converted)[:negIndex] + "." + str(converted)[negIndex:]
    return converted



def weirdBase (b = 10.1, n = 9, loops = 1000):
    """
    What's an infinite string number in a weird base?
    e.g., .9999999... in base 10.1?
    """
    nsum = 0
    for i in range(1, loops):
        power = 0 - i
        nsum += n * b ** power
    return nsum