Created
October 23, 2018 11:30
-
-
Save LouiS0616/9688628d2fe7bff839cec4d584a07e32 to your computer and use it in GitHub Desktop.
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
import math | |
def compute_lcm(a, b): | |
return (a * b) // math.gcd(a, b) | |
class MyFraction: | |
def __init__(self, numerator, denominator=1): | |
if denominator == 0: | |
raise ValueError | |
if denominator < 0: | |
numerator *= -1 | |
denominator *= -1 | |
gcd = math.gcd(numerator, denominator) | |
self._numerator = numerator // gcd | |
self._denominator = denominator // gcd | |
@property | |
def numerator(self): | |
return self._numerator | |
@property | |
def denominator(self): | |
return self._denominator | |
@property | |
def reciprocal(self): | |
if self.denominator == 0: | |
raise ValueError | |
return MyFraction( | |
self.denominator, self.numerator | |
) | |
def is_integer(self): | |
return self.denominator == 1 | |
def __str__(self): | |
if self.is_integer(): | |
return f'{self.numerator}' | |
return f'{self.numerator}/{self.denominator}' | |
def __eq__(self, other): | |
if isinstance(other, int): | |
return self == MyFraction(other) | |
if isinstance(other, MyFraction): | |
return (self.numerator == other.numerator) \ | |
and (self.denominator == other.denominator) | |
return False | |
def __add__(self, other): | |
if isinstance(other, int): | |
return self + MyFraction(other) | |
if isinstance(other, MyFraction): | |
denominator, numerators = MyFraction.reduce(self, other) | |
return MyFraction( | |
sum(numerators), denominator | |
) | |
raise TypeError | |
def __radd__(self, other): | |
return self + other | |
def __sub__(self, other): | |
if isinstance(other, (int, MyFraction)): | |
return self + (-1 * other) | |
raise TypeError | |
def __rsub__(self, other): | |
return other + (-1 * self) | |
def __mul__(self, other): | |
if isinstance(other, int): | |
return self * MyFraction(other) | |
if isinstance(other, MyFraction): | |
return MyFraction( | |
self.numerator * other.numerator, | |
self.denominator * other.denominator | |
) | |
raise TypeError | |
def __rmul__(self, other): | |
return self * other | |
def __truediv__(self, other): | |
if other == 0: | |
raise ValueError | |
if isinstance(other, int): | |
return MyFraction( | |
self.numerator, self.denominator * other | |
) | |
if isinstance(other, MyFraction): | |
return self * other.reciprocal | |
raise TypeError | |
def __rtruediv__(self, other): | |
return other * self.reciprocal | |
@staticmethod | |
def reduce(*fracs): | |
lcm = compute_lcm( | |
*(frac.denominator for frac in fracs) | |
) | |
return lcm, [ | |
frac.numerator * (lcm // frac.denominator) for frac in fracs | |
] | |
frac1 = MyFraction(1, 7) | |
frac2 = MyFraction(-7, 5) | |
print(frac1 / frac2) | |
print(2 / frac2) |
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment