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author | Mark Dickinson <dickinsm@gmail.com> | 2009-07-18 14:43:10 (GMT) |
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committer | Mark Dickinson <dickinsm@gmail.com> | 2009-07-18 14:43:10 (GMT) |
commit | 8d15643a4bbb118a2fc91541d3b02d7aca7953d9 (patch) | |
tree | 5cecbf550fa74bb3245d421871c2af3ba287602f /Lib/test/test_fractions.py | |
parent | 680ac292ac8fce75836a84c7eccc0c18923e4121 (diff) | |
download | cpython-8d15643a4bbb118a2fc91541d3b02d7aca7953d9.zip cpython-8d15643a4bbb118a2fc91541d3b02d7aca7953d9.tar.gz cpython-8d15643a4bbb118a2fc91541d3b02d7aca7953d9.tar.bz2 |
Merged revisions 74078 via svnmerge from
svn+ssh://pythondev@www.python.org/python/branches/py3k
........
r74078 | mark.dickinson | 2009-07-18 15:41:42 +0100 (Sat, 18 Jul 2009) | 5 lines
Issue #6431: Fix Fraction comparisons to return NotImplemented when
the Fraction type doesn't know how to handle the comparison without
loss of accuracy. Also, make sure that comparisons between Fractions
and float infinities or nans do the right thing.
........
Diffstat (limited to 'Lib/test/test_fractions.py')
-rw-r--r-- | Lib/test/test_fractions.py | 126 |
1 files changed, 126 insertions, 0 deletions
diff --git a/Lib/test/test_fractions.py b/Lib/test/test_fractions.py index e321914..fd6588a 100644 --- a/Lib/test/test_fractions.py +++ b/Lib/test/test_fractions.py @@ -3,6 +3,7 @@ from decimal import Decimal from test.support import run_unittest import math +import numbers import operator import fractions import unittest @@ -11,6 +12,69 @@ from pickle import dumps, loads F = fractions.Fraction gcd = fractions.gcd +class DummyFloat(object): + """Dummy float class for testing comparisons with Fractions""" + + def __init__(self, value): + if not isinstance(value, float): + raise TypeError("DummyFloat can only be initialized from float") + self.value = value + + def _richcmp(self, other, op): + if isinstance(other, numbers.Rational): + return op(F.from_float(self.value), other) + elif isinstance(other, DummyFloat): + return op(self.value, other.value) + else: + return NotImplemented + + def __eq__(self, other): return self._richcmp(other, operator.eq) + def __le__(self, other): return self._richcmp(other, operator.le) + def __lt__(self, other): return self._richcmp(other, operator.lt) + def __ge__(self, other): return self._richcmp(other, operator.ge) + def __gt__(self, other): return self._richcmp(other, operator.gt) + + # shouldn't be calling __float__ at all when doing comparisons + def __float__(self): + assert False, "__float__ should not be invoked for comparisons" + + # same goes for subtraction + def __sub__(self, other): + assert False, "__sub__ should not be invoked for comparisons" + __rsub__ = __sub__ + + +class DummyRational(object): + """Test comparison of Fraction with a naive rational implementation.""" + + def __init__(self, num, den): + g = gcd(num, den) + self.num = num // g + self.den = den // g + + def __eq__(self, other): + if isinstance(other, fractions.Fraction): + return (self.num == other._numerator and + self.den == other._denominator) + else: + return NotImplemented + + def __lt__(self, other): + return(self.num * other._denominator < self.den * other._numerator) + + def __gt__(self, other): + return(self.num * other._denominator > self.den * other._numerator) + + def __le__(self, other): + return(self.num * other._denominator <= self.den * other._numerator) + + def __ge__(self, other): + return(self.num * other._denominator >= self.den * other._numerator) + + # this class is for testing comparisons; conversion to float + # should never be used for a comparison, since it loses accuracy + def __float__(self): + assert False, "__float__ should not be invoked" class GcdTest(unittest.TestCase): @@ -324,6 +388,50 @@ class FractionTest(unittest.TestCase): self.assertFalse(F(1, 2) != F(1, 2)) self.assertTrue(F(1, 2) != F(1, 3)) + def testComparisonsDummyRational(self): + self.assertTrue(F(1, 2) == DummyRational(1, 2)) + self.assertTrue(DummyRational(1, 2) == F(1, 2)) + self.assertFalse(F(1, 2) == DummyRational(3, 4)) + self.assertFalse(DummyRational(3, 4) == F(1, 2)) + + self.assertTrue(F(1, 2) < DummyRational(3, 4)) + self.assertFalse(F(1, 2) < DummyRational(1, 2)) + self.assertFalse(F(1, 2) < DummyRational(1, 7)) + self.assertFalse(F(1, 2) > DummyRational(3, 4)) + self.assertFalse(F(1, 2) > DummyRational(1, 2)) + self.assertTrue(F(1, 2) > DummyRational(1, 7)) + self.assertTrue(F(1, 2) <= DummyRational(3, 4)) + self.assertTrue(F(1, 2) <= DummyRational(1, 2)) + self.assertFalse(F(1, 2) <= DummyRational(1, 7)) + self.assertFalse(F(1, 2) >= DummyRational(3, 4)) + self.assertTrue(F(1, 2) >= DummyRational(1, 2)) + self.assertTrue(F(1, 2) >= DummyRational(1, 7)) + + self.assertTrue(DummyRational(1, 2) < F(3, 4)) + self.assertFalse(DummyRational(1, 2) < F(1, 2)) + self.assertFalse(DummyRational(1, 2) < F(1, 7)) + self.assertFalse(DummyRational(1, 2) > F(3, 4)) + self.assertFalse(DummyRational(1, 2) > F(1, 2)) + self.assertTrue(DummyRational(1, 2) > F(1, 7)) + self.assertTrue(DummyRational(1, 2) <= F(3, 4)) + self.assertTrue(DummyRational(1, 2) <= F(1, 2)) + self.assertFalse(DummyRational(1, 2) <= F(1, 7)) + self.assertFalse(DummyRational(1, 2) >= F(3, 4)) + self.assertTrue(DummyRational(1, 2) >= F(1, 2)) + self.assertTrue(DummyRational(1, 2) >= F(1, 7)) + + def testComparisonsDummyFloat(self): + x = DummyFloat(1./3.) + y = F(1, 3) + self.assertTrue(x != y) + self.assertTrue(x < y or x > y) + self.assertFalse(x == y) + self.assertFalse(x <= y and x >= y) + self.assertTrue(y != x) + self.assertTrue(y < x or y > x) + self.assertFalse(y == x) + self.assertFalse(y <= x and y >= x) + def testMixedLess(self): self.assertTrue(2 < F(5, 2)) self.assertFalse(2 < F(4, 2)) @@ -335,6 +443,13 @@ class FractionTest(unittest.TestCase): self.assertTrue(0.4 < F(1, 2)) self.assertFalse(0.5 < F(1, 2)) + self.assertFalse(float('inf') < F(1, 2)) + self.assertTrue(float('-inf') < F(0, 10)) + self.assertFalse(float('nan') < F(-3, 7)) + self.assertTrue(F(1, 2) < float('inf')) + self.assertFalse(F(17, 12) < float('-inf')) + self.assertFalse(F(144, -89) < float('nan')) + def testMixedLessEqual(self): self.assertTrue(0.5 <= F(1, 2)) self.assertFalse(0.6 <= F(1, 2)) @@ -345,6 +460,13 @@ class FractionTest(unittest.TestCase): self.assertTrue(F(4, 2) <= 2) self.assertFalse(F(5, 2) <= 2) + self.assertFalse(float('inf') <= F(1, 2)) + self.assertTrue(float('-inf') <= F(0, 10)) + self.assertFalse(float('nan') <= F(-3, 7)) + self.assertTrue(F(1, 2) <= float('inf')) + self.assertFalse(F(17, 12) <= float('-inf')) + self.assertFalse(F(144, -89) <= float('nan')) + def testBigFloatComparisons(self): # Because 10**23 can't be represented exactly as a float: self.assertFalse(F(10**23) == float(10**23)) @@ -369,6 +491,10 @@ class FractionTest(unittest.TestCase): self.assertFalse(2 == F(3, 2)) self.assertTrue(F(4, 2) == 2) self.assertFalse(F(5, 2) == 2) + self.assertFalse(F(5, 2) == float('nan')) + self.assertFalse(float('nan') == F(3, 7)) + self.assertFalse(F(5, 2) == float('inf')) + self.assertFalse(float('-inf') == F(2, 5)) def testStringification(self): self.assertEquals("Fraction(7, 3)", repr(F(7, 3))) |