if max_denominator < 1:
raise ValueError("max_denominator should be at least 1")
- if self.denominator <= max_denominator:
+ if self._denominator <= max_denominator:
return Fraction(self)
p0, q0, p1, q1 = 0, 1, 1, 0
- n, d = self.numerator, self.denominator
+ n, d = self._numerator, self._denominator
while True:
a = n//d
q2 = q0+a*q1
def __repr__(self):
"""repr(self)"""
- return ('Fraction(%r, %r)' % (self.numerator, self.denominator))
+ return ('Fraction(%r, %r)' % (self._numerator, self._denominator))
def __str__(self):
"""str(self)"""
- if self.denominator == 1:
- return str(self.numerator)
+ if self._denominator == 1:
+ return str(self._numerator)
else:
- return '%s/%s' % (self.numerator, self.denominator)
+ return '%s/%s' % (self._numerator, self._denominator)
def _operator_fallbacks(monomorphic_operator, fallback_operator):
"""Generates forward and reverse operators given a purely-rational
if b.denominator == 1:
power = b.numerator
if power >= 0:
- return Fraction(a.numerator ** power,
- a.denominator ** power)
+ return Fraction(a._numerator ** power,
+ a._denominator ** power)
else:
- return Fraction(a.denominator ** -power,
- a.numerator ** -power)
+ return Fraction(a._denominator ** -power,
+ a._numerator ** -power)
else:
# A fractional power will generally produce an
# irrational number.
def __rpow__(b, a):
"""a ** b"""
- if b.denominator == 1 and b.numerator >= 0:
+ if b._denominator == 1 and b._numerator >= 0:
# If a is an int, keep it that way if possible.
- return a ** b.numerator
+ return a ** b._numerator
if isinstance(a, Rational):
return Fraction(a.numerator, a.denominator) ** b
- if b.denominator == 1:
- return a ** b.numerator
+ if b._denominator == 1:
+ return a ** b._numerator
return a ** float(b)
def __pos__(a):
"""+a: Coerces a subclass instance to Fraction"""
- return Fraction(a.numerator, a.denominator)
+ return Fraction(a._numerator, a._denominator)
def __neg__(a):
"""-a"""
- return Fraction(-a.numerator, a.denominator)
+ return Fraction(-a._numerator, a._denominator)
def __abs__(a):
"""abs(a)"""
- return Fraction(abs(a.numerator), a.denominator)
+ return Fraction(abs(a._numerator), a._denominator)
def __trunc__(a):
"""trunc(a)"""
- if a.numerator < 0:
- return -(-a.numerator // a.denominator)
+ if a._numerator < 0:
+ return -(-a._numerator // a._denominator)
else:
- return a.numerator // a.denominator
+ return a._numerator // a._denominator
def __hash__(self):
"""hash(self)
"""
# XXX since this method is expensive, consider caching the result
- if self.denominator == 1:
+ if self._denominator == 1:
# Get integers right.
- return hash(self.numerator)
+ return hash(self._numerator)
# Expensive check, but definitely correct.
if self == float(self):
return hash(float(self))
else:
# Use tuple's hash to avoid a high collision rate on
# simple fractions.
- return hash((self.numerator, self.denominator))
+ return hash((self._numerator, self._denominator))
def __eq__(a, b):
"""a == b"""
if isinstance(b, Rational):
- return (a.numerator == b.numerator and
- a.denominator == b.denominator)
+ return (a._numerator == b.numerator and
+ a._denominator == b.denominator)
if isinstance(b, numbers.Complex) and b.imag == 0:
b = b.real
if isinstance(b, float):
def __nonzero__(a):
"""a != 0"""
- return a.numerator != 0
+ return a._numerator != 0
# support for pickling, copy, and deepcopy
def __copy__(self):
if type(self) == Fraction:
return self # I'm immutable; therefore I am my own clone
- return self.__class__(self.numerator, self.denominator)
+ return self.__class__(self._numerator, self._denominator)
def __deepcopy__(self, memo):
if type(self) == Fraction:
return self # My components are also immutable
- return self.__class__(self.numerator, self.denominator)
+ return self.__class__(self._numerator, self._denominator)