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fraction.py
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70 lines (49 loc) · 1.71 KB
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from fractions import gcd
class Fraction:
def __init__(self, numerator=0, denominator=1):
if denominator == 0: # fraction is undefined
self._numer = 0
self._denom = 0
else:
factor = gcd( abs(numerator), abs(denominator))
if denominator < 0: # want to divide through by negated factor
factor = -factor
self._numer = numerator // factor
self._denom = denominator // factor
########### Arithmetic Methods ##############
def __add__(self, other):
return Fraction(self._numer * other._denom + self._denom * other._numer,
self._denom * other._denom)
def __sub__(self, other):
return Fraction(self._numer * other._denom - self._denom * other._numer,
self._denom * other._denom)
def __mul__(self, other):
return Fraction(self._numer * other._numer, self._denom * other._denom)
def __div__(self, other):
return Fraction(self._numer * other._denom, self._denom * other._numer)
def __neg__(self):
return Fraction(-self._numer, self._denom)
########## Comparison Methods ###############
def __lt__(self, other):
return self._numer * other._denom, self._denom * other._numer
def __eq__(self, other):
return self._numer == other._numer and self._denom == other._denom
########## Type Conversion Methods ##########
def __float__(self):
return float(self._numer) / self._denom
def __int__(self):
return int(float(self))
def __str__(self):
if self._denom == 0:
return 'Undefined'
elif self._denom == 1:
return str(self._numer)
else:
return str(self._numer) + '/' + str(self._denom)
def invert(self):
return Fraction(self._denom, self._numer)
# Unit Test
if __name__ == '__main__':
fracTest = Fraction(5,9)
reciprical = fracTest.invert()
print reciprical