numerator = -numerator
else:
- raise TypeError("argument should be a string or a number")
+ raise TypeError("argument should be a string or a Rational "
+ "instance or have the as_integer_ratio() method")
elif type(numerator) is int is type(denominator):
pass # *very* normal case
self._denominator = denominator
return self
+ @classmethod
+ def from_number(cls, number):
+ """Converts a finite real number to a rational number, exactly.
+
+ Beware that Fraction.from_number(0.3) != Fraction(3, 10).
+
+ """
+ if type(number) is int:
+ return cls._from_coprime_ints(number, 1)
+
+ elif isinstance(number, numbers.Rational):
+ return cls._from_coprime_ints(number.numerator, number.denominator)
+
+ elif (isinstance(number, float) or
+ (not isinstance(number, type) and
+ hasattr(number, 'as_integer_ratio'))):
+ return cls._from_coprime_ints(*number.as_integer_ratio())
+
+ else:
+ raise TypeError("argument should be a Rational instance or "
+ "have the as_integer_ratio() method")
+
@classmethod
def from_float(cls, f):
"""Converts a finite float to a rational number, exactly.
class RectComplex(Rect, complex):
pass
+class Ratio:
+ def __init__(self, ratio):
+ self._ratio = ratio
+ def as_integer_ratio(self):
+ return self._ratio
+
+
class FractionTest(unittest.TestCase):
def assertTypedEquals(self, expected, actual):
self.assertRaises(OverflowError, F, Decimal('-inf'))
def testInitFromIntegerRatio(self):
- class Ratio:
- def __init__(self, ratio):
- self._ratio = ratio
- def as_integer_ratio(self):
- return self._ratio
-
self.assertEqual((7, 3), _components(F(Ratio((7, 3)))))
- errmsg = "argument should be a string or a number"
+ errmsg = (r"argument should be a string or a Rational instance or "
+ r"have the as_integer_ratio\(\) method")
# the type also has an "as_integer_ratio" attribute.
self.assertRaisesRegex(TypeError, errmsg, F, Ratio)
# bad ratio
pass
self.assertRaisesRegex(TypeError, errmsg, F, B)
self.assertRaisesRegex(TypeError, errmsg, F, B())
+ self.assertRaises(TypeError, F.from_number, B)
+ self.assertRaises(TypeError, F.from_number, B())
def testFromString(self):
self.assertEqual((5, 1), _components(F("5")))
ValueError, "cannot convert NaN to integer ratio",
F.from_decimal, Decimal("snan"))
+ def testFromNumber(self, cls=F):
+ def check(arg, numerator, denominator):
+ f = cls.from_number(arg)
+ self.assertIs(type(f), cls)
+ self.assertEqual(f.numerator, numerator)
+ self.assertEqual(f.denominator, denominator)
+
+ check(10, 10, 1)
+ check(2.5, 5, 2)
+ check(Decimal('2.5'), 5, 2)
+ check(F(22, 7), 22, 7)
+ check(DummyFraction(22, 7), 22, 7)
+ check(Rat(22, 7), 22, 7)
+ check(Ratio((22, 7)), 22, 7)
+ self.assertRaises(TypeError, cls.from_number, 3+4j)
+ self.assertRaises(TypeError, cls.from_number, '5/2')
+ self.assertRaises(TypeError, cls.from_number, [])
+ self.assertRaises(OverflowError, cls.from_number, float('inf'))
+ self.assertRaises(OverflowError, cls.from_number, Decimal('inf'))
+
+ # as_integer_ratio not defined in a class
+ class A:
+ pass
+ a = A()
+ a.as_integer_ratio = lambda: (9, 5)
+ check(a, 9, 5)
+
+ def testFromNumber_subclass(self):
+ self.testFromNumber(DummyFraction)
+
+
def test_is_integer(self):
self.assertTrue(F(1, 1).is_integer())
self.assertTrue(F(-1, 1).is_integer())