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Replace R=fractions.Fraction with F=fractions.Fraction in 

test_fractions.py.  This should have been part of the name
change from Rational to Fraction.
This commit is contained in:
Mark Dickinson 2008-02-12 21:46:54 +00:00
parent 0aa52a1658
commit 5f8bd3729e
1 changed files with 184 additions and 184 deletions
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368
Lib/test/test_fractions.py
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@ -8,7 +8,7 @@ import fractions
import unittest import unittest
from copy import copy, deepcopy from copy import copy, deepcopy
from cPickle import dumps, loads from cPickle import dumps, loads
R = fractions.Fraction F = fractions.Fraction
gcd = fractions.gcd gcd = fractions.gcd
@ -49,79 +49,79 @@ class FractionTest(unittest.TestCase):
self.fail("%s not raised" % exc_type.__name__) self.fail("%s not raised" % exc_type.__name__)
def testInit(self): def testInit(self):
self.assertEquals((0, 1), _components(R())) self.assertEquals((0, 1), _components(F()))
self.assertEquals((7, 1), _components(R(7))) self.assertEquals((7, 1), _components(F(7)))
self.assertEquals((7, 3), _components(R(R(7, 3)))) self.assertEquals((7, 3), _components(F(F(7, 3))))
self.assertEquals((-1, 1), _components(R(-1, 1))) self.assertEquals((-1, 1), _components(F(-1, 1)))
self.assertEquals((-1, 1), _components(R(1, -1))) self.assertEquals((-1, 1), _components(F(1, -1)))
self.assertEquals((1, 1), _components(R(-2, -2))) self.assertEquals((1, 1), _components(F(-2, -2)))
self.assertEquals((1, 2), _components(R(5, 10))) self.assertEquals((1, 2), _components(F(5, 10)))
self.assertEquals((7, 15), _components(R(7, 15))) self.assertEquals((7, 15), _components(F(7, 15)))
self.assertEquals((10**23, 1), _components(R(10**23))) self.assertEquals((10**23, 1), _components(F(10**23)))
self.assertRaisesMessage(ZeroDivisionError, "Fraction(12, 0)", self.assertRaisesMessage(ZeroDivisionError, "Fraction(12, 0)",
R, 12, 0) F, 12, 0)
self.assertRaises(TypeError, R, 1.5) self.assertRaises(TypeError, F, 1.5)
self.assertRaises(TypeError, R, 1.5 + 3j) self.assertRaises(TypeError, F, 1.5 + 3j)
self.assertRaises(TypeError, R, R(1, 2), 3) self.assertRaises(TypeError, F, F(1, 2), 3)
self.assertRaises(TypeError, R, "3/2", 3) self.assertRaises(TypeError, F, "3/2", 3)
def testFromString(self): def testFromString(self):
self.assertEquals((5, 1), _components(R("5"))) self.assertEquals((5, 1), _components(F("5")))
self.assertEquals((3, 2), _components(R("3/2"))) self.assertEquals((3, 2), _components(F("3/2")))
self.assertEquals((3, 2), _components(R(" \n +3/2"))) self.assertEquals((3, 2), _components(F(" \n +3/2")))
self.assertEquals((-3, 2), _components(R("-3/2 "))) self.assertEquals((-3, 2), _components(F("-3/2 ")))
self.assertEquals((13, 2), _components(R(" 013/02 \n "))) self.assertEquals((13, 2), _components(F(" 013/02 \n ")))
self.assertEquals((13, 2), _components(R(u" 013/02 \n "))) self.assertEquals((13, 2), _components(F(u" 013/02 \n ")))
self.assertEquals((16, 5), _components(R(" 3.2 "))) self.assertEquals((16, 5), _components(F(" 3.2 ")))
self.assertEquals((-16, 5), _components(R(u" -3.2 "))) self.assertEquals((-16, 5), _components(F(u" -3.2 ")))
self.assertEquals((-3, 1), _components(R(u" -3. "))) self.assertEquals((-3, 1), _components(F(u" -3. ")))
self.assertEquals((3, 5), _components(R(u" .6 "))) self.assertEquals((3, 5), _components(F(u" .6 ")))
self.assertRaisesMessage( self.assertRaisesMessage(
ZeroDivisionError, "Fraction(3, 0)", ZeroDivisionError, "Fraction(3, 0)",
R, "3/0") F, "3/0")
self.assertRaisesMessage( self.assertRaisesMessage(
ValueError, "Invalid literal for Fraction: 3/", ValueError, "Invalid literal for Fraction: 3/",
R, "3/") F, "3/")
self.assertRaisesMessage( self.assertRaisesMessage(
ValueError, "Invalid literal for Fraction: 3 /2", ValueError, "Invalid literal for Fraction: 3 /2",
R, "3 /2") F, "3 /2")
self.assertRaisesMessage( self.assertRaisesMessage(
# Denominators don't need a sign. # Denominators don't need a sign.
ValueError, "Invalid literal for Fraction: 3/+2", ValueError, "Invalid literal for Fraction: 3/+2",
R, "3/+2") F, "3/+2")
self.assertRaisesMessage( self.assertRaisesMessage(
# Imitate float's parsing. # Imitate float's parsing.
ValueError, "Invalid literal for Fraction: + 3/2", ValueError, "Invalid literal for Fraction: + 3/2",
R, "+ 3/2") F, "+ 3/2")
self.assertRaisesMessage( self.assertRaisesMessage(
# Avoid treating '.' as a regex special character. # Avoid treating '.' as a regex special character.
ValueError, "Invalid literal for Fraction: 3a2", ValueError, "Invalid literal for Fraction: 3a2",
R, "3a2") F, "3a2")
self.assertRaisesMessage( self.assertRaisesMessage(
# Only parse ordinary decimals, not scientific form. # Only parse ordinary decimals, not scientific form.
ValueError, "Invalid literal for Fraction: 3.2e4", ValueError, "Invalid literal for Fraction: 3.2e4",
R, "3.2e4") F, "3.2e4")
self.assertRaisesMessage( self.assertRaisesMessage(
# Don't accept combinations of decimals and fractions. # Don't accept combinations of decimals and fractions.
ValueError, "Invalid literal for Fraction: 3/7.2", ValueError, "Invalid literal for Fraction: 3/7.2",
R, "3/7.2") F, "3/7.2")
self.assertRaisesMessage( self.assertRaisesMessage(
# Don't accept combinations of decimals and fractions. # Don't accept combinations of decimals and fractions.
ValueError, "Invalid literal for Fraction: 3.2/7", ValueError, "Invalid literal for Fraction: 3.2/7",
R, "3.2/7") F, "3.2/7")
self.assertRaisesMessage( self.assertRaisesMessage(
# Allow 3. and .3, but not . # Allow 3. and .3, but not .
ValueError, "Invalid literal for Fraction: .", ValueError, "Invalid literal for Fraction: .",
R, ".") F, ".")
def testImmutable(self): def testImmutable(self):
r = R(7, 3) r = F(7, 3)
r.__init__(2, 15) r.__init__(2, 15)
self.assertEquals((7, 3), _components(r)) self.assertEquals((7, 3), _components(r))
@ -134,237 +134,237 @@ class FractionTest(unittest.TestCase):
r._denominator = 2 r._denominator = 2
self.assertEquals((4, 2), _components(r)) self.assertEquals((4, 2), _components(r))
# Which breaks some important operations: # Which breaks some important operations:
self.assertNotEquals(R(4, 2), r) self.assertNotEquals(F(4, 2), r)
def testFromFloat(self): def testFromFloat(self):
self.assertRaisesMessage( self.assertRaisesMessage(
TypeError, "Fraction.from_float() only takes floats, not 3 (int)", TypeError, "Fraction.from_float() only takes floats, not 3 (int)",
R.from_float, 3) F.from_float, 3)
self.assertEquals((0, 1), _components(R.from_float(-0.0))) self.assertEquals((0, 1), _components(F.from_float(-0.0)))
self.assertEquals((10, 1), _components(R.from_float(10.0))) self.assertEquals((10, 1), _components(F.from_float(10.0)))
self.assertEquals((-5, 2), _components(R.from_float(-2.5))) self.assertEquals((-5, 2), _components(F.from_float(-2.5)))
self.assertEquals((99999999999999991611392, 1), self.assertEquals((99999999999999991611392, 1),
_components(R.from_float(1e23))) _components(F.from_float(1e23)))
self.assertEquals(float(10**23), float(R.from_float(1e23))) self.assertEquals(float(10**23), float(F.from_float(1e23)))
self.assertEquals((3602879701896397, 1125899906842624), self.assertEquals((3602879701896397, 1125899906842624),
_components(R.from_float(3.2))) _components(F.from_float(3.2)))
self.assertEquals(3.2, float(R.from_float(3.2))) self.assertEquals(3.2, float(F.from_float(3.2)))
inf = 1e1000 inf = 1e1000
nan = inf - inf nan = inf - inf
self.assertRaisesMessage( self.assertRaisesMessage(
TypeError, "Cannot convert inf to Fraction.", TypeError, "Cannot convert inf to Fraction.",
R.from_float, inf) F.from_float, inf)
self.assertRaisesMessage( self.assertRaisesMessage(
TypeError, "Cannot convert -inf to Fraction.", TypeError, "Cannot convert -inf to Fraction.",
R.from_float, -inf) F.from_float, -inf)
self.assertRaisesMessage( self.assertRaisesMessage(
TypeError, "Cannot convert nan to Fraction.", TypeError, "Cannot convert nan to Fraction.",
R.from_float, nan) F.from_float, nan)
def testFromDecimal(self): def testFromDecimal(self):
self.assertRaisesMessage( self.assertRaisesMessage(
TypeError, TypeError,
"Fraction.from_decimal() only takes Decimals, not 3 (int)", "Fraction.from_decimal() only takes Decimals, not 3 (int)",
R.from_decimal, 3) F.from_decimal, 3)
self.assertEquals(R(0), R.from_decimal(Decimal("-0"))) self.assertEquals(F(0), F.from_decimal(Decimal("-0")))
self.assertEquals(R(5, 10), R.from_decimal(Decimal("0.5"))) self.assertEquals(F(5, 10), F.from_decimal(Decimal("0.5")))
self.assertEquals(R(5, 1000), R.from_decimal(Decimal("5e-3"))) self.assertEquals(F(5, 1000), F.from_decimal(Decimal("5e-3")))
self.assertEquals(R(5000), R.from_decimal(Decimal("5e3"))) self.assertEquals(F(5000), F.from_decimal(Decimal("5e3")))
self.assertEquals(1 - R(1, 10**30), self.assertEquals(1 - F(1, 10**30),
R.from_decimal(Decimal("0." + "9" * 30))) F.from_decimal(Decimal("0." + "9" * 30)))
self.assertRaisesMessage( self.assertRaisesMessage(
TypeError, "Cannot convert Infinity to Fraction.", TypeError, "Cannot convert Infinity to Fraction.",
R.from_decimal, Decimal("inf")) F.from_decimal, Decimal("inf"))
self.assertRaisesMessage( self.assertRaisesMessage(
TypeError, "Cannot convert -Infinity to Fraction.", TypeError, "Cannot convert -Infinity to Fraction.",
R.from_decimal, Decimal("-inf")) F.from_decimal, Decimal("-inf"))
self.assertRaisesMessage( self.assertRaisesMessage(
TypeError, "Cannot convert NaN to Fraction.", TypeError, "Cannot convert NaN to Fraction.",
R.from_decimal, Decimal("nan")) F.from_decimal, Decimal("nan"))
self.assertRaisesMessage( self.assertRaisesMessage(
TypeError, "Cannot convert sNaN to Fraction.", TypeError, "Cannot convert sNaN to Fraction.",
R.from_decimal, Decimal("snan")) F.from_decimal, Decimal("snan"))
def testLimitDenominator(self): def testLimitDenominator(self):
rpi = R('3.1415926535897932') rpi = F('3.1415926535897932')
self.assertEqual(rpi.limit_denominator(10000), R(355, 113)) self.assertEqual(rpi.limit_denominator(10000), F(355, 113))
self.assertEqual(-rpi.limit_denominator(10000), R(-355, 113)) self.assertEqual(-rpi.limit_denominator(10000), F(-355, 113))
self.assertEqual(rpi.limit_denominator(113), R(355, 113)) self.assertEqual(rpi.limit_denominator(113), F(355, 113))
self.assertEqual(rpi.limit_denominator(112), R(333, 106)) self.assertEqual(rpi.limit_denominator(112), F(333, 106))
self.assertEqual(R(201, 200).limit_denominator(100), R(1)) self.assertEqual(F(201, 200).limit_denominator(100), F(1))
self.assertEqual(R(201, 200).limit_denominator(101), R(102, 101)) self.assertEqual(F(201, 200).limit_denominator(101), F(102, 101))
self.assertEqual(R(0).limit_denominator(10000), R(0)) self.assertEqual(F(0).limit_denominator(10000), F(0))
def testConversions(self): def testConversions(self):
self.assertTypedEquals(-1, math.trunc(R(-11, 10))) self.assertTypedEquals(-1, math.trunc(F(-11, 10)))
self.assertTypedEquals(-1, int(R(-11, 10))) self.assertTypedEquals(-1, int(F(-11, 10)))
self.assertEquals(False, bool(R(0, 1))) self.assertEquals(False, bool(F(0, 1)))
self.assertEquals(True, bool(R(3, 2))) self.assertEquals(True, bool(F(3, 2)))
self.assertTypedEquals(0.1, float(R(1, 10))) self.assertTypedEquals(0.1, float(F(1, 10)))
# Check that __float__ isn't implemented by converting the # Check that __float__ isn't implemented by converting the
# numerator and denominator to float before dividing. # numerator and denominator to float before dividing.
self.assertRaises(OverflowError, float, long('2'*400+'7')) self.assertRaises(OverflowError, float, long('2'*400+'7'))
self.assertAlmostEquals(2.0/3, self.assertAlmostEquals(2.0/3,
float(R(long('2'*400+'7'), long('3'*400+'1')))) float(F(long('2'*400+'7'), long('3'*400+'1'))))
self.assertTypedEquals(0.1+0j, complex(R(1,10))) self.assertTypedEquals(0.1+0j, complex(F(1,10)))
def testArithmetic(self): def testArithmetic(self):
self.assertEquals(R(1, 2), R(1, 10) + R(2, 5)) self.assertEquals(F(1, 2), F(1, 10) + F(2, 5))
self.assertEquals(R(-3, 10), R(1, 10) - R(2, 5)) self.assertEquals(F(-3, 10), F(1, 10) - F(2, 5))
self.assertEquals(R(1, 25), R(1, 10) * R(2, 5)) self.assertEquals(F(1, 25), F(1, 10) * F(2, 5))
self.assertEquals(R(1, 4), R(1, 10) / R(2, 5)) self.assertEquals(F(1, 4), F(1, 10) / F(2, 5))
self.assertTypedEquals(2, R(9, 10) // R(2, 5)) self.assertTypedEquals(2, F(9, 10) // F(2, 5))
self.assertTypedEquals(10**23, R(10**23, 1) // R(1)) self.assertTypedEquals(10**23, F(10**23, 1) // F(1))
self.assertEquals(R(2, 3), R(-7, 3) % R(3, 2)) self.assertEquals(F(2, 3), F(-7, 3) % F(3, 2))
self.assertEquals(R(8, 27), R(2, 3) ** R(3)) self.assertEquals(F(8, 27), F(2, 3) ** F(3))
self.assertEquals(R(27, 8), R(2, 3) ** R(-3)) self.assertEquals(F(27, 8), F(2, 3) ** F(-3))
self.assertTypedEquals(2.0, R(4) ** R(1, 2)) self.assertTypedEquals(2.0, F(4) ** F(1, 2))
# Will return 1j in 3.0: # Will return 1j in 3.0:
self.assertRaises(ValueError, pow, R(-1), R(1, 2)) self.assertRaises(ValueError, pow, F(-1), F(1, 2))
def testMixedArithmetic(self): def testMixedArithmetic(self):
self.assertTypedEquals(R(11, 10), R(1, 10) + 1) self.assertTypedEquals(F(11, 10), F(1, 10) + 1)
self.assertTypedEquals(1.1, R(1, 10) + 1.0) self.assertTypedEquals(1.1, F(1, 10) + 1.0)
self.assertTypedEquals(1.1 + 0j, R(1, 10) + (1.0 + 0j)) self.assertTypedEquals(1.1 + 0j, F(1, 10) + (1.0 + 0j))
self.assertTypedEquals(R(11, 10), 1 + R(1, 10)) self.assertTypedEquals(F(11, 10), 1 + F(1, 10))
self.assertTypedEquals(1.1, 1.0 + R(1, 10)) self.assertTypedEquals(1.1, 1.0 + F(1, 10))
self.assertTypedEquals(1.1 + 0j, (1.0 + 0j) + R(1, 10)) self.assertTypedEquals(1.1 + 0j, (1.0 + 0j) + F(1, 10))
self.assertTypedEquals(R(-9, 10), R(1, 10) - 1) self.assertTypedEquals(F(-9, 10), F(1, 10) - 1)
self.assertTypedEquals(-0.9, R(1, 10) - 1.0) self.assertTypedEquals(-0.9, F(1, 10) - 1.0)
self.assertTypedEquals(-0.9 + 0j, R(1, 10) - (1.0 + 0j)) self.assertTypedEquals(-0.9 + 0j, F(1, 10) - (1.0 + 0j))
self.assertTypedEquals(R(9, 10), 1 - R(1, 10)) self.assertTypedEquals(F(9, 10), 1 - F(1, 10))
self.assertTypedEquals(0.9, 1.0 - R(1, 10)) self.assertTypedEquals(0.9, 1.0 - F(1, 10))
self.assertTypedEquals(0.9 + 0j, (1.0 + 0j) - R(1, 10)) self.assertTypedEquals(0.9 + 0j, (1.0 + 0j) - F(1, 10))
self.assertTypedEquals(R(1, 10), R(1, 10) * 1) self.assertTypedEquals(F(1, 10), F(1, 10) * 1)
self.assertTypedEquals(0.1, R(1, 10) * 1.0) self.assertTypedEquals(0.1, F(1, 10) * 1.0)
self.assertTypedEquals(0.1 + 0j, R(1, 10) * (1.0 + 0j)) self.assertTypedEquals(0.1 + 0j, F(1, 10) * (1.0 + 0j))
self.assertTypedEquals(R(1, 10), 1 * R(1, 10)) self.assertTypedEquals(F(1, 10), 1 * F(1, 10))
self.assertTypedEquals(0.1, 1.0 * R(1, 10)) self.assertTypedEquals(0.1, 1.0 * F(1, 10))
self.assertTypedEquals(0.1 + 0j, (1.0 + 0j) * R(1, 10)) self.assertTypedEquals(0.1 + 0j, (1.0 + 0j) * F(1, 10))
self.assertTypedEquals(R(1, 10), R(1, 10) / 1) self.assertTypedEquals(F(1, 10), F(1, 10) / 1)
self.assertTypedEquals(0.1, R(1, 10) / 1.0) self.assertTypedEquals(0.1, F(1, 10) / 1.0)
self.assertTypedEquals(0.1 + 0j, R(1, 10) / (1.0 + 0j)) self.assertTypedEquals(0.1 + 0j, F(1, 10) / (1.0 + 0j))
self.assertTypedEquals(R(10, 1), 1 / R(1, 10)) self.assertTypedEquals(F(10, 1), 1 / F(1, 10))
self.assertTypedEquals(10.0, 1.0 / R(1, 10)) self.assertTypedEquals(10.0, 1.0 / F(1, 10))
self.assertTypedEquals(10.0 + 0j, (1.0 + 0j) / R(1, 10)) self.assertTypedEquals(10.0 + 0j, (1.0 + 0j) / F(1, 10))
self.assertTypedEquals(0, R(1, 10) // 1) self.assertTypedEquals(0, F(1, 10) // 1)
self.assertTypedEquals(0.0, R(1, 10) // 1.0) self.assertTypedEquals(0.0, F(1, 10) // 1.0)
self.assertTypedEquals(10, 1 // R(1, 10)) self.assertTypedEquals(10, 1 // F(1, 10))
self.assertTypedEquals(10**23, 10**22 // R(1, 10)) self.assertTypedEquals(10**23, 10**22 // F(1, 10))
self.assertTypedEquals(10.0, 1.0 // R(1, 10)) self.assertTypedEquals(10.0, 1.0 // F(1, 10))
self.assertTypedEquals(R(1, 10), R(1, 10) % 1) self.assertTypedEquals(F(1, 10), F(1, 10) % 1)
self.assertTypedEquals(0.1, R(1, 10) % 1.0) self.assertTypedEquals(0.1, F(1, 10) % 1.0)
self.assertTypedEquals(R(0, 1), 1 % R(1, 10)) self.assertTypedEquals(F(0, 1), 1 % F(1, 10))
self.assertTypedEquals(0.0, 1.0 % R(1, 10)) self.assertTypedEquals(0.0, 1.0 % F(1, 10))
# No need for divmod since we don't override it. # No need for divmod since we don't override it.
# ** has more interesting conversion rules. # ** has more interesting conversion rules.
self.assertTypedEquals(R(100, 1), R(1, 10) ** -2) self.assertTypedEquals(F(100, 1), F(1, 10) ** -2)
self.assertTypedEquals(R(100, 1), R(10, 1) ** 2) self.assertTypedEquals(F(100, 1), F(10, 1) ** 2)
self.assertTypedEquals(0.1, R(1, 10) ** 1.0) self.assertTypedEquals(0.1, F(1, 10) ** 1.0)
self.assertTypedEquals(0.1 + 0j, R(1, 10) ** (1.0 + 0j)) self.assertTypedEquals(0.1 + 0j, F(1, 10) ** (1.0 + 0j))
self.assertTypedEquals(4 , 2 ** R(2, 1)) self.assertTypedEquals(4 , 2 ** F(2, 1))
# Will return 1j in 3.0: # Will return 1j in 3.0:
self.assertRaises(ValueError, pow, (-1), R(1, 2)) self.assertRaises(ValueError, pow, (-1), F(1, 2))
self.assertTypedEquals(R(1, 4) , 2 ** R(-2, 1)) self.assertTypedEquals(F(1, 4) , 2 ** F(-2, 1))
self.assertTypedEquals(2.0 , 4 ** R(1, 2)) self.assertTypedEquals(2.0 , 4 ** F(1, 2))
self.assertTypedEquals(0.25, 2.0 ** R(-2, 1)) self.assertTypedEquals(0.25, 2.0 ** F(-2, 1))
self.assertTypedEquals(1.0 + 0j, (1.0 + 0j) ** R(1, 10)) self.assertTypedEquals(1.0 + 0j, (1.0 + 0j) ** F(1, 10))
def testMixingWithDecimal(self): def testMixingWithDecimal(self):
# Decimal refuses mixed comparisons. # Decimal refuses mixed comparisons.
self.assertRaisesMessage( self.assertRaisesMessage(
TypeError, TypeError,
"unsupported operand type(s) for +: 'Fraction' and 'Decimal'", "unsupported operand type(s) for +: 'Fraction' and 'Decimal'",
operator.add, R(3,11), Decimal('3.1415926')) operator.add, F(3,11), Decimal('3.1415926'))
self.assertNotEquals(R(5, 2), Decimal('2.5')) self.assertNotEquals(F(5, 2), Decimal('2.5'))
def testComparisons(self): def testComparisons(self):
self.assertTrue(R(1, 2) < R(2, 3)) self.assertTrue(F(1, 2) < F(2, 3))
self.assertFalse(R(1, 2) < R(1, 2)) self.assertFalse(F(1, 2) < F(1, 2))
self.assertTrue(R(1, 2) <= R(2, 3)) self.assertTrue(F(1, 2) <= F(2, 3))
self.assertTrue(R(1, 2) <= R(1, 2)) self.assertTrue(F(1, 2) <= F(1, 2))
self.assertFalse(R(2, 3) <= R(1, 2)) self.assertFalse(F(2, 3) <= F(1, 2))
self.assertTrue(R(1, 2) == R(1, 2)) self.assertTrue(F(1, 2) == F(1, 2))
self.assertFalse(R(1, 2) == R(1, 3)) self.assertFalse(F(1, 2) == F(1, 3))
self.assertFalse(R(1, 2) != R(1, 2)) self.assertFalse(F(1, 2) != F(1, 2))
self.assertTrue(R(1, 2) != R(1, 3)) self.assertTrue(F(1, 2) != F(1, 3))
def testMixedLess(self): def testMixedLess(self):
self.assertTrue(2 < R(5, 2)) self.assertTrue(2 < F(5, 2))
self.assertFalse(2 < R(4, 2)) self.assertFalse(2 < F(4, 2))
self.assertTrue(R(5, 2) < 3) self.assertTrue(F(5, 2) < 3)
self.assertFalse(R(4, 2) < 2) self.assertFalse(F(4, 2) < 2)
self.assertTrue(R(1, 2) < 0.6) self.assertTrue(F(1, 2) < 0.6)
self.assertFalse(R(1, 2) < 0.4) self.assertFalse(F(1, 2) < 0.4)
self.assertTrue(0.4 < R(1, 2)) self.assertTrue(0.4 < F(1, 2))
self.assertFalse(0.5 < R(1, 2)) self.assertFalse(0.5 < F(1, 2))
def testMixedLessEqual(self): def testMixedLessEqual(self):
self.assertTrue(0.5 <= R(1, 2)) self.assertTrue(0.5 <= F(1, 2))
self.assertFalse(0.6 <= R(1, 2)) self.assertFalse(0.6 <= F(1, 2))
self.assertTrue(R(1, 2) <= 0.5) self.assertTrue(F(1, 2) <= 0.5)
self.assertFalse(R(1, 2) <= 0.4) self.assertFalse(F(1, 2) <= 0.4)
self.assertTrue(2 <= R(4, 2)) self.assertTrue(2 <= F(4, 2))
self.assertFalse(2 <= R(3, 2)) self.assertFalse(2 <= F(3, 2))
self.assertTrue(R(4, 2) <= 2) self.assertTrue(F(4, 2) <= 2)
self.assertFalse(R(5, 2) <= 2) self.assertFalse(F(5, 2) <= 2)
def testBigFloatComparisons(self): def testBigFloatComparisons(self):
# Because 10**23 can't be represented exactly as a float: # Because 10**23 can't be represented exactly as a float:
self.assertFalse(R(10**23) == float(10**23)) self.assertFalse(F(10**23) == float(10**23))
# The first test demonstrates why these are important. # The first test demonstrates why these are important.
self.assertFalse(1e23 < float(R(math.trunc(1e23) + 1))) self.assertFalse(1e23 < float(F(math.trunc(1e23) + 1)))
self.assertTrue(1e23 < R(math.trunc(1e23) + 1)) self.assertTrue(1e23 < F(math.trunc(1e23) + 1))
self.assertFalse(1e23 <= R(math.trunc(1e23) - 1)) self.assertFalse(1e23 <= F(math.trunc(1e23) - 1))
self.assertTrue(1e23 > R(math.trunc(1e23) - 1)) self.assertTrue(1e23 > F(math.trunc(1e23) - 1))
self.assertFalse(1e23 >= R(math.trunc(1e23) + 1)) self.assertFalse(1e23 >= F(math.trunc(1e23) + 1))
def testBigComplexComparisons(self): def testBigComplexComparisons(self):
self.assertFalse(R(10**23) == complex(10**23)) self.assertFalse(F(10**23) == complex(10**23))
self.assertTrue(R(10**23) > complex(10**23)) self.assertTrue(F(10**23) > complex(10**23))
self.assertFalse(R(10**23) <= complex(10**23)) self.assertFalse(F(10**23) <= complex(10**23))
def testMixedEqual(self): def testMixedEqual(self):
self.assertTrue(0.5 == R(1, 2)) self.assertTrue(0.5 == F(1, 2))
self.assertFalse(0.6 == R(1, 2)) self.assertFalse(0.6 == F(1, 2))
self.assertTrue(R(1, 2) == 0.5) self.assertTrue(F(1, 2) == 0.5)
self.assertFalse(R(1, 2) == 0.4) self.assertFalse(F(1, 2) == 0.4)
self.assertTrue(2 == R(4, 2)) self.assertTrue(2 == F(4, 2))
self.assertFalse(2 == R(3, 2)) self.assertFalse(2 == F(3, 2))
self.assertTrue(R(4, 2) == 2) self.assertTrue(F(4, 2) == 2)
self.assertFalse(R(5, 2) == 2) self.assertFalse(F(5, 2) == 2)
def testStringification(self): def testStringification(self):
self.assertEquals("Fraction(7, 3)", repr(R(7, 3))) self.assertEquals("Fraction(7, 3)", repr(F(7, 3)))
self.assertEquals("7/3", str(R(7, 3))) self.assertEquals("7/3", str(F(7, 3)))
self.assertEquals("7", str(R(7, 1))) self.assertEquals("7", str(F(7, 1)))
def testHash(self): def testHash(self):
self.assertEquals(hash(2.5), hash(R(5, 2))) self.assertEquals(hash(2.5), hash(F(5, 2)))
self.assertEquals(hash(10**50), hash(R(10**50))) self.assertEquals(hash(10**50), hash(F(10**50)))
self.assertNotEquals(hash(float(10**23)), hash(R(10**23))) self.assertNotEquals(hash(float(10**23)), hash(F(10**23)))
def testApproximatePi(self): def testApproximatePi(self):
# Algorithm borrowed from # Algorithm borrowed from
# http://docs.python.org/lib/decimal-recipes.html # http://docs.python.org/lib/decimal-recipes.html
three = R(3) three = F(3)
lasts, t, s, n, na, d, da = 0, three, 3, 1, 0, 0, 24 lasts, t, s, n, na, d, da = 0, three, 3, 1, 0, 0, 24
while abs(s - lasts) > R(1, 10**9): while abs(s - lasts) > F(1, 10**9):
lasts = s lasts = s
n, na = n+na, na+8 n, na = n+na, na+8
d, da = d+da, da+32 d, da = d+da, da+32
@ -375,9 +375,9 @@ class FractionTest(unittest.TestCase):
def testApproximateCos1(self): def testApproximateCos1(self):
# Algorithm borrowed from # Algorithm borrowed from
# http://docs.python.org/lib/decimal-recipes.html # http://docs.python.org/lib/decimal-recipes.html
x = R(1) x = F(1)
i, lasts, s, fact, num, sign = 0, 0, R(1), 1, 1, 1 i, lasts, s, fact, num, sign = 0, 0, F(1), 1, 1, 1
while abs(s - lasts) > R(1, 10**9): while abs(s - lasts) > F(1, 10**9):
lasts = s lasts = s
i += 2 i += 2
fact *= i * (i-1) fact *= i * (i-1)
@ -387,7 +387,7 @@ class FractionTest(unittest.TestCase):
self.assertAlmostEquals(math.cos(1), s) self.assertAlmostEquals(math.cos(1), s)
def test_copy_deepcopy_pickle(self): def test_copy_deepcopy_pickle(self):
r = R(13, 7) r = F(13, 7)
self.assertEqual(r, loads(dumps(r))) self.assertEqual(r, loads(dumps(r)))
self.assertEqual(id(r), id(copy(r))) self.assertEqual(id(r), id(copy(r)))
self.assertEqual(id(r), id(deepcopy(r))) self.assertEqual(id(r), id(deepcopy(r)))