diff --git a/Lib/fractions.py b/Lib/fractions.py --- a/Lib/fractions.py +++ b/Lib/fractions.py @@ -70,7 +70,7 @@ __slots__ = ('_numerator', '_denominator') # We're immutable, so use __new__ not __init__ - def __new__(cls, numerator=0, denominator=None): + def __new__(cls, numerator=0, denominator=None, _normalize=True): """Constructs a Rational. Takes a string like '3/2' or '1.5', another Rational instance, a @@ -165,9 +165,12 @@ if denominator == 0: raise ZeroDivisionError('Fraction(%s, 0)' % numerator) - g = gcd(numerator, denominator) - self._numerator = numerator // g - self._denominator = denominator // g + if _normalize: + g = gcd(numerator, denominator) + numerator //= g + denominator //= g + self._numerator = numerator + self._denominator = denominator return self @classmethod @@ -453,10 +456,12 @@ power = b.numerator if power >= 0: return Fraction(a._numerator ** power, - a._denominator ** power) + a._denominator ** power, + _normalize=False) else: return Fraction(a._denominator ** -power, - a._numerator ** -power) + a._numerator ** -power, + _normalize=False) else: # A fractional power will generally produce an # irrational number. @@ -480,15 +485,15 @@ def __pos__(a): """+a: Coerces a subclass instance to Fraction""" - return Fraction(a._numerator, a._denominator) + return Fraction(a._numerator, a._denominator, _normalize=False) def __neg__(a): """-a""" - return Fraction(-a._numerator, a._denominator) + return Fraction(-a._numerator, a._denominator, _normalize=False) def __abs__(a): """abs(a)""" - return Fraction(abs(a._numerator), a._denominator) + return Fraction(abs(a._numerator), a._denominator, _normalize=False) def __trunc__(a): """trunc(a)"""