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106 lines
3.1 KiB
Python
106 lines
3.1 KiB
Python
"""Convert a positive Decimal Number to Any Other Representation"""
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from string import ascii_uppercase
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ALPHABET_VALUES = {str(ord(c) - 55): c for c in ascii_uppercase}
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def decimal_to_any(num: int, base: int) -> str:
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"""
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Convert a positive integer to another base as str.
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>>> decimal_to_any(0, 2)
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'0'
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>>> decimal_to_any(5, 4)
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'11'
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>>> decimal_to_any(20, 3)
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'202'
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>>> decimal_to_any(58, 16)
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'3A'
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>>> decimal_to_any(243, 17)
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'E5'
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>>> decimal_to_any(34923, 36)
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'QY3'
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>>> decimal_to_any(10, 11)
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'A'
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>>> decimal_to_any(16, 16)
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'10'
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>>> decimal_to_any(36, 36)
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'10'
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>>> # negatives will error
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>>> decimal_to_any(-45, 8) # doctest: +ELLIPSIS
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Traceback (most recent call last):
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...
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ValueError: parameter must be positive int
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>>> # floats will error
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>>> decimal_to_any(34.4, 6) # doctest: +ELLIPSIS
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Traceback (most recent call last):
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...
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TypeError: int() can't convert non-string with explicit base
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>>> # a float base will error
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>>> decimal_to_any(5, 2.5) # doctest: +ELLIPSIS
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Traceback (most recent call last):
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...
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TypeError: 'float' object cannot be interpreted as an integer
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>>> # a str base will error
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>>> decimal_to_any(10, '16') # doctest: +ELLIPSIS
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Traceback (most recent call last):
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...
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TypeError: 'str' object cannot be interpreted as an integer
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>>> # a base less than 2 will error
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>>> decimal_to_any(7, 0) # doctest: +ELLIPSIS
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Traceback (most recent call last):
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...
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ValueError: base must be >= 2
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>>> # a base greater than 36 will error
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>>> decimal_to_any(34, 37) # doctest: +ELLIPSIS
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Traceback (most recent call last):
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...
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ValueError: base must be <= 36
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"""
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if isinstance(num, float):
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raise TypeError("int() can't convert non-string with explicit base")
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if num < 0:
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raise ValueError("parameter must be positive int")
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if isinstance(base, str):
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raise TypeError("'str' object cannot be interpreted as an integer")
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if isinstance(base, float):
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raise TypeError("'float' object cannot be interpreted as an integer")
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if base in (0, 1):
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raise ValueError("base must be >= 2")
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if base > 36:
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raise ValueError("base must be <= 36")
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new_value = ""
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mod = 0
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div = 0
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while div != 1:
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div, mod = divmod(num, base)
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if base >= 11 and 9 < mod < 36:
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actual_value = ALPHABET_VALUES[str(mod)]
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else:
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actual_value = str(mod)
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new_value += actual_value
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div = num // base
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num = div
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if div == 0:
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return str(new_value[::-1])
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elif div == 1:
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new_value += str(div)
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return str(new_value[::-1])
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return new_value[::-1]
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if __name__ == "__main__":
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import doctest
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doctest.testmod()
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for base in range(2, 37):
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for num in range(1000):
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assert int(decimal_to_any(num, base), base) == num, (
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num,
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base,
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decimal_to_any(num, base),
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int(decimal_to_any(num, base), base),
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)
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