self = super(Fraction, cls).__new__(cls)
if denominator is None:
- if isinstance(numerator, numbers.Rational):
+ if type(numerator) is int:
+ self._numerator = numerator
+ self._denominator = 1
+ return self
+
+ elif isinstance(numerator, numbers.Rational):
self._numerator = numerator.numerator
self._denominator = numerator.denominator
return self
raise TypeError("argument should be a string "
"or a Rational instance")
+ elif type(numerator) is int is type(denominator):
+ pass # *very* normal case
+
elif (isinstance(numerator, numbers.Rational) and
isinstance(denominator, numbers.Rational)):
numerator, denominator = (
def _add(a, b):
"""a + b"""
- return Fraction(a.numerator * b.denominator +
- b.numerator * a.denominator,
- a.denominator * b.denominator)
+ da, db = a.denominator, b.denominator
+ return Fraction(a.numerator * db + b.numerator * da,
+ da * db)
__add__, __radd__ = _operator_fallbacks(_add, operator.add)
def _sub(a, b):
"""a - b"""
- return Fraction(a.numerator * b.denominator -
- b.numerator * a.denominator,
- a.denominator * b.denominator)
+ da, db = a.denominator, b.denominator
+ return Fraction(a.numerator * db - b.numerator * da,
+ da * db)
__sub__, __rsub__ = _operator_fallbacks(_sub, operator.sub)
def __eq__(a, b):
"""a == b"""
+ if type(b) is int:
+ return a._numerator == b and a._denominator == 1
if isinstance(b, numbers.Rational):
return (a._numerator == b.numerator and
a._denominator == b.denominator)