decimal_to_any.py

"""Convert a positive Decimal Number to Any Other Representation"""


# fmt: off
ALPHABET_VALUES = {'10': 'A', '11': 'B', '12': 'C', '13': 'D', '14': 'E', '15': 'F',  # noqa: E501
                   '16': 'G', '17': 'H', '18': 'I', '19': 'J', '20': 'K', '21': 'L',
                   '22': 'M', '23': 'N', '24': 'O', '25': 'P', '26': 'Q', '27': 'R',
                   '28': 'S', '29': 'T', '30': 'U', '31': 'V', '32': 'W', '33': 'X',
                   '34': 'Y', '35': 'Z'}
# fmt: on


def decimal_to_any(num: int, base: int) -> str:
    """
    Convert a positive integer to another base as str.
    >>> decimal_to_any(0, 2)
    '0'
    >>> decimal_to_any(5, 4)
    '11'
    >>> decimal_to_any(20, 3)
    '202'
    >>> decimal_to_any(58, 16)
    '3A'
    >>> decimal_to_any(243, 17)
    'E5'
    >>> decimal_to_any(34923, 36)
    'QY3'
    >>> decimal_to_any(10, 11)
    'A'
    >>> decimal_to_any(16, 16)
    '10'
    >>> decimal_to_any(36, 36)
    '10'
    >>> # negatives will error
    >>> decimal_to_any(-45, 8)  # doctest: +ELLIPSIS
    Traceback (most recent call last):
    ...
    ValueError: parameter must be positive int
    >>> # floats will error
    >>> decimal_to_any(34.4, 6) # doctest: +ELLIPSIS
    Traceback (most recent call last):
    ...
    TypeError: int() can't convert non-string with explicit base
    >>> # a float base will error
    >>> decimal_to_any(5, 2.5) # doctest: +ELLIPSIS
    Traceback (most recent call last):
    ...
    TypeError: 'float' object cannot be interpreted as an integer
    >>> # a str base will error
    >>> decimal_to_any(10, '16') # doctest: +ELLIPSIS
    Traceback (most recent call last):
    ...
    TypeError: 'str' object cannot be interpreted as an integer
    >>> # a base less than 2 will error
    >>> decimal_to_any(7, 0) # doctest: +ELLIPSIS
    Traceback (most recent call last):
    ...
    ValueError: base must be >= 2
    >>> # a base greater than 36 will error
    >>> decimal_to_any(34, 37) # doctest: +ELLIPSIS
    Traceback (most recent call last):
    ...
    ValueError: base must be <= 36
    """
    if isinstance(num, float):
        raise TypeError("int() can't convert non-string with explicit base")
    if num < 0:
        raise ValueError("parameter must be positive int")
    if isinstance(base, str):
        raise TypeError("'str' object cannot be interpreted as an integer")
    if isinstance(base, float):
        raise TypeError("'float' object cannot be interpreted as an integer")
    if base in (0, 1):
        raise ValueError("base must be >= 2")
    if base > 36:
        raise ValueError("base must be <= 36")
    new_value = ""
    mod = 0
    div = 0
    while div != 1:
        div, mod = divmod(num, base)
        if base >= 11 and 9 < mod < 36:
            actual_value = ALPHABET_VALUES[str(mod)]
            mod = actual_value
        new_value += str(mod)
        div = num // base
        num = div
        if div == 0:
            return str(new_value[::-1])
        elif div == 1:
            new_value += str(div)
            return str(new_value[::-1])

    return new_value[::-1]


if __name__ == "__main__":
    import doctest

    doctest.testmod()

    for base in range(2, 37):
        for num in range(1000):
            assert int(decimal_to_any(num, base), base) == num, (
                num,
                base,
                decimal_to_any(num, base),
                int(decimal_to_any(num, base), base),
            )