__slots__ = ('_numerator', '_denominator')
# We're immutable, so use __new__ not __init__
- def __new__(cls, numerator=0, denominator=1):
+ def __new__(cls, numerator=0, denominator=None):
"""Constructs a Rational.
Takes a string like '3/2' or '1.5', another Rational, or a
"""
self = super(Fraction, cls).__new__(cls)
- if not isinstance(numerator, int) and denominator == 1:
- if isinstance(numerator, str):
+ if denominator is None:
+ if isinstance(numerator, numbers.Rational):
+ self._numerator = numerator.numerator
+ self._denominator = numerator.denominator
+ return self
+
+ elif isinstance(numerator, str):
# Handle construction from strings.
m = _RATIONAL_FORMAT.match(numerator)
if m is None:
if m.group('sign') == '-':
numerator = -numerator
- elif isinstance(numerator, numbers.Rational):
- # Handle copies from other rationals. Integrals get
- # caught here too, but it doesn't matter because
- # denominator is already 1.
- other_rational = numerator
- numerator = other_rational.numerator
- denominator = other_rational.denominator
+ else:
+ raise TypeError("argument should be a string "
+ "or a Rational instance")
+
+ elif (isinstance(numerator, numbers.Rational) and
+ isinstance(denominator, numbers.Rational)):
+ numerator, denominator = (
+ numerator.numerator * denominator.denominator,
+ denominator.numerator * numerator.denominator
+ )
+ else:
+ raise TypeError("both arguments should be "
+ "Rational instances")
if denominator == 0:
raise ZeroDivisionError('Fraction(%s, 0)' % numerator)
- numerator = operator.index(numerator)
- denominator = operator.index(denominator)
g = gcd(numerator, denominator)
self._numerator = numerator // g
self._denominator = denominator // g
self.assertEquals((7, 15), _components(F(7, 15)))
self.assertEquals((10**23, 1), _components(F(10**23)))
+ self.assertEquals((3, 77), _components(F(F(3, 7), 11)))
+ self.assertEquals((-9, 5), _components(F(2, F(-10, 9))))
+ self.assertEquals((2486, 2485), _components(F(F(22, 7), F(355, 113))))
+
self.assertRaisesMessage(ZeroDivisionError, "Fraction(12, 0)",
F, 12, 0)
self.assertRaises(TypeError, F, 1.5)
self.assertRaises(TypeError, F, 1.5 + 3j)
- self.assertRaises(TypeError, F, F(1, 2), 3)
self.assertRaises(TypeError, F, "3/2", 3)
+ self.assertRaises(TypeError, F, 3, 0j)
+ self.assertRaises(TypeError, F, 3, 1j)
+
def testFromString(self):
self.assertEquals((5, 1), _components(F("5")))