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* flake8 --max-line-length=88
* fixup! Format Python code with psf/black push
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108 lines
3.6 KiB
Python
108 lines
3.6 KiB
Python
"""Convert a positive Decimal Number to Any Other Representation"""
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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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# fmt: off
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ALPHABET_VALUES = {'10': 'A', '11': 'B', '12': 'C', '13': 'D', '14': 'E', '15': 'F',
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'16': 'G', '17': 'H', '18': 'I', '19': 'J', '20': 'K', '21': 'L',
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'22': 'M', '23': 'N', '24': 'O', '25': 'P', '26': 'Q', '27': 'R',
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'28': 'S', '29': 'T', '30': 'U', '31': 'V', '32': 'W', '33': 'X',
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'34': 'Y', '35': 'Z'}
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# fmt: on
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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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mod = actual_value
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new_value += str(mod)
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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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