cpython-lru_cache-weakref: Lib/test/test

annotate Lib/test/test_fractions.py @ 79675:c0a2294de787 2.7

Issue #16199: Backport 2to3 typo fix from 3.2.

author	Chris Jerdonek <chris.jerdonek@gmail.com>
date	Thu, 11 Oct 2012 16:15:46 -0700
parents	8e00de3acb44
children

rev	line source
45275 a50c1fb7d920 Rename rational.Rational to fractions.Fraction, to avoid name clash Mark Dickinson <dickinsm@gmail.com> parents: 45233 diff changeset	1 """Tests for Lib/fractions.py."""
44691 46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	2
46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	3 from decimal import Decimal
45468 1d84bf5f9478 Patch #2167 from calvin: Remove unused imports Christian Heimes <christian@cheimes.de> parents: 45331 diff changeset	4 from test.test_support import run_unittest
44691 46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	5 import math
55325 9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	6 import numbers
44691 46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	7 import operator
45275 a50c1fb7d920 Rename rational.Rational to fractions.Fraction, to avoid name clash Mark Dickinson <dickinsm@gmail.com> parents: 45233 diff changeset	8 import fractions
75345 8e00de3acb44 #14089: increase coverage of the fractions module. Patch by Oleg Plakhotnyuk. Ezio Melotti <ezio.melotti@gmail.com> parents: 66348 diff changeset	9 import sys
44691 46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	10 import unittest
44933 6da0eea36783 Add support for copy, deepcopy, and pickle. Raymond Hettinger <python@rcn.com> parents: 44925 diff changeset	11 from copy import copy, deepcopy
6da0eea36783 Add support for copy, deepcopy, and pickle. Raymond Hettinger <python@rcn.com> parents: 44925 diff changeset	12 from cPickle import dumps, loads
45306 8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	13 F = fractions.Fraction
45275 a50c1fb7d920 Rename rational.Rational to fractions.Fraction, to avoid name clash Mark Dickinson <dickinsm@gmail.com> parents: 45233 diff changeset	14 gcd = fractions.gcd
44993 4dd0fcf3daf7 Make rational.gcd() public and allow Rational to take decimal strings, per Jeffrey Yasskin <jyasskin@gmail.com> parents: 44936 diff changeset	15
60193 ffa0aa70c746 Issue #8294: Allow float and Decimal arguments in Fraction constructor. Mark Dickinson <dickinsm@gmail.com> parents: 60040 diff changeset	16 # decorator for skipping tests on non-IEEE 754 platforms
ffa0aa70c746 Issue #8294: Allow float and Decimal arguments in Fraction constructor. Mark Dickinson <dickinsm@gmail.com> parents: 60040 diff changeset	17 requires_IEEE_754 = unittest.skipUnless(
ffa0aa70c746 Issue #8294: Allow float and Decimal arguments in Fraction constructor. Mark Dickinson <dickinsm@gmail.com> parents: 60040 diff changeset	18 float.__getformat__("double").startswith("IEEE"),
ffa0aa70c746 Issue #8294: Allow float and Decimal arguments in Fraction constructor. Mark Dickinson <dickinsm@gmail.com> parents: 60040 diff changeset	19 "test requires IEEE 754 doubles")
ffa0aa70c746 Issue #8294: Allow float and Decimal arguments in Fraction constructor. Mark Dickinson <dickinsm@gmail.com> parents: 60040 diff changeset	20
55325 9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	21 class DummyFloat(object):
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	22 """Dummy float class for testing comparisons with Fractions"""
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	23
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	24 def __init__(self, value):
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	25 if not isinstance(value, float):
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	26 raise TypeError("DummyFloat can only be initialized from float")
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	27 self.value = value
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	28
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	29 def _richcmp(self, other, op):
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	30 if isinstance(other, numbers.Rational):
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	31 return op(F.from_float(self.value), other)
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	32 elif isinstance(other, DummyFloat):
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	33 return op(self.value, other.value)
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	34 else:
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	35 return NotImplemented
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	36
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	37 def __eq__(self, other): return self._richcmp(other, operator.eq)
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	38 def __le__(self, other): return self._richcmp(other, operator.le)
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	39 def __lt__(self, other): return self._richcmp(other, operator.lt)
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	40 def __ge__(self, other): return self._richcmp(other, operator.ge)
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	41 def __gt__(self, other): return self._richcmp(other, operator.gt)
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	42
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	43 # shouldn't be calling __float__ at all when doing comparisons
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	44 def __float__(self):
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	45 assert False, "__float__ should not be invoked for comparisons"
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	46
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	47 # same goes for subtraction
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	48 def __sub__(self, other):
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	49 assert False, "__sub__ should not be invoked for comparisons"
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	50 __rsub__ = __sub__
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	51
58669 ff040880d1be #7092: Silence more py3k warnings. Patch by Florent Xicluna. Ezio Melotti <ezio.melotti@gmail.com> parents: 58198 diff changeset	52 # Silence Py3k warning
ff040880d1be #7092: Silence more py3k warnings. Patch by Florent Xicluna. Ezio Melotti <ezio.melotti@gmail.com> parents: 58198 diff changeset	53 __hash__ = None
ff040880d1be #7092: Silence more py3k warnings. Patch by Florent Xicluna. Ezio Melotti <ezio.melotti@gmail.com> parents: 58198 diff changeset	54
55325 9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	55
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	56 class DummyRational(object):
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	57 """Test comparison of Fraction with a naive rational implementation."""
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	58
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	59 def __init__(self, num, den):
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	60 g = gcd(num, den)
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	61 self.num = num // g
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	62 self.den = den // g
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	63
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	64 def __eq__(self, other):
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	65 if isinstance(other, fractions.Fraction):
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	66 return (self.num == other._numerator and
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	67 self.den == other._denominator)
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	68 else:
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	69 return NotImplemented
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	70
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	71 def __lt__(self, other):
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	72 return(self.num * other._denominator < self.den * other._numerator)
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	73
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	74 def __gt__(self, other):
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	75 return(self.num * other._denominator > self.den * other._numerator)
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	76
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	77 def __le__(self, other):
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	78 return(self.num * other._denominator <= self.den * other._numerator)
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	79
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	80 def __ge__(self, other):
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	81 return(self.num * other._denominator >= self.den * other._numerator)
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	82
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	83 # this class is for testing comparisons; conversion to float
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	84 # should never be used for a comparison, since it loses accuracy
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	85 def __float__(self):
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	86 assert False, "__float__ should not be invoked"
44993 4dd0fcf3daf7 Make rational.gcd() public and allow Rational to take decimal strings, per Jeffrey Yasskin <jyasskin@gmail.com> parents: 44936 diff changeset	87
58669 ff040880d1be #7092: Silence more py3k warnings. Patch by Florent Xicluna. Ezio Melotti <ezio.melotti@gmail.com> parents: 58198 diff changeset	88 # Silence Py3k warning
ff040880d1be #7092: Silence more py3k warnings. Patch by Florent Xicluna. Ezio Melotti <ezio.melotti@gmail.com> parents: 58198 diff changeset	89 __hash__ = None
ff040880d1be #7092: Silence more py3k warnings. Patch by Florent Xicluna. Ezio Melotti <ezio.melotti@gmail.com> parents: 58198 diff changeset	90
ff040880d1be #7092: Silence more py3k warnings. Patch by Florent Xicluna. Ezio Melotti <ezio.melotti@gmail.com> parents: 58198 diff changeset	91
75345 8e00de3acb44 #14089: increase coverage of the fractions module. Patch by Oleg Plakhotnyuk. Ezio Melotti <ezio.melotti@gmail.com> parents: 66348 diff changeset	92 class DummyFraction(fractions.Fraction):
8e00de3acb44 #14089: increase coverage of the fractions module. Patch by Oleg Plakhotnyuk. Ezio Melotti <ezio.melotti@gmail.com> parents: 66348 diff changeset	93 """Dummy Fraction subclass for copy and deepcopy testing."""
8e00de3acb44 #14089: increase coverage of the fractions module. Patch by Oleg Plakhotnyuk. Ezio Melotti <ezio.melotti@gmail.com> parents: 66348 diff changeset	94
44993 4dd0fcf3daf7 Make rational.gcd() public and allow Rational to take decimal strings, per Jeffrey Yasskin <jyasskin@gmail.com> parents: 44936 diff changeset	95 class GcdTest(unittest.TestCase):
4dd0fcf3daf7 Make rational.gcd() public and allow Rational to take decimal strings, per Jeffrey Yasskin <jyasskin@gmail.com> parents: 44936 diff changeset	96
4dd0fcf3daf7 Make rational.gcd() public and allow Rational to take decimal strings, per Jeffrey Yasskin <jyasskin@gmail.com> parents: 44936 diff changeset	97 def testMisc(self):
66348 614c84670c63 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 60193 diff changeset	98 self.assertEqual(0, gcd(0, 0))
614c84670c63 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 60193 diff changeset	99 self.assertEqual(1, gcd(1, 0))
614c84670c63 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 60193 diff changeset	100 self.assertEqual(-1, gcd(-1, 0))
614c84670c63 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 60193 diff changeset	101 self.assertEqual(1, gcd(0, 1))
614c84670c63 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 60193 diff changeset	102 self.assertEqual(-1, gcd(0, -1))
614c84670c63 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 60193 diff changeset	103 self.assertEqual(1, gcd(7, 1))
614c84670c63 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 60193 diff changeset	104 self.assertEqual(-1, gcd(7, -1))
614c84670c63 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 60193 diff changeset	105 self.assertEqual(1, gcd(-23, 15))
614c84670c63 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 60193 diff changeset	106 self.assertEqual(12, gcd(120, 84))
614c84670c63 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 60193 diff changeset	107 self.assertEqual(-12, gcd(84, -120))
44993 4dd0fcf3daf7 Make rational.gcd() public and allow Rational to take decimal strings, per Jeffrey Yasskin <jyasskin@gmail.com> parents: 44936 diff changeset	108
44691 46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	109
46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	110 def _components(r):
46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	111 return (r.numerator, r.denominator)
46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	112
44993 4dd0fcf3daf7 Make rational.gcd() public and allow Rational to take decimal strings, per Jeffrey Yasskin <jyasskin@gmail.com> parents: 44936 diff changeset	113
45275 a50c1fb7d920 Rename rational.Rational to fractions.Fraction, to avoid name clash Mark Dickinson <dickinsm@gmail.com> parents: 45233 diff changeset	114 class FractionTest(unittest.TestCase):
44691 46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	115
46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	116 def assertTypedEquals(self, expected, actual):
46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	117 """Asserts that both the types and values are the same."""
66348 614c84670c63 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 60193 diff changeset	118 self.assertEqual(type(expected), type(actual))
614c84670c63 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 60193 diff changeset	119 self.assertEqual(expected, actual)
44691 46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	120
46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	121 def assertRaisesMessage(self, exc_type, message,
46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	122 callable, args, *kwargs):
46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	123 """Asserts that callable(args, *kwargs) raises exc_type(message)."""
46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	124 try:
46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	125 callable(args, *kwargs)
46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	126 except exc_type, e:
66348 614c84670c63 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 60193 diff changeset	127 self.assertEqual(message, str(e))
44691 46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	128 else:
46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	129 self.fail("%s not raised" % exc_type.__name__)
46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	130
46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	131 def testInit(self):
66348 614c84670c63 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 60193 diff changeset	132 self.assertEqual((0, 1), _components(F()))
614c84670c63 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 60193 diff changeset	133 self.assertEqual((7, 1), _components(F(7)))
614c84670c63 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 60193 diff changeset	134 self.assertEqual((7, 3), _components(F(F(7, 3))))
44691 46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	135
66348 614c84670c63 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 60193 diff changeset	136 self.assertEqual((-1, 1), _components(F(-1, 1)))
614c84670c63 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 60193 diff changeset	137 self.assertEqual((-1, 1), _components(F(1, -1)))
614c84670c63 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 60193 diff changeset	138 self.assertEqual((1, 1), _components(F(-2, -2)))
614c84670c63 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 60193 diff changeset	139 self.assertEqual((1, 2), _components(F(5, 10)))
614c84670c63 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 60193 diff changeset	140 self.assertEqual((7, 15), _components(F(7, 15)))
614c84670c63 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 60193 diff changeset	141 self.assertEqual((1023, 1), _components(F(1023)))
44691 46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	142
66348 614c84670c63 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 60193 diff changeset	143 self.assertEqual((3, 77), _components(F(F(3, 7), 11)))
614c84670c63 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 60193 diff changeset	144 self.assertEqual((-9, 5), _components(F(2, F(-10, 9))))
614c84670c63 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 60193 diff changeset	145 self.assertEqual((2486, 2485), _components(F(F(22, 7), F(355, 113))))
53346 114059c26794 Issue #5812: The two-argument form of the Fraction constructor Mark Dickinson <dickinsm@gmail.com> parents: 53324 diff changeset	146
45275 a50c1fb7d920 Rename rational.Rational to fractions.Fraction, to avoid name clash Mark Dickinson <dickinsm@gmail.com> parents: 45233 diff changeset	147 self.assertRaisesMessage(ZeroDivisionError, "Fraction(12, 0)",
45306 8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	148 F, 12, 0)
47916 bed3dfd99281 Issue 3287: Raise correct exception for float inputs. Raymond Hettinger <python@rcn.com> parents: 47839 diff changeset	149 self.assertRaises(TypeError, F, 1.5 + 3j)
44691 46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	150
47916 bed3dfd99281 Issue 3287: Raise correct exception for float inputs. Raymond Hettinger <python@rcn.com> parents: 47839 diff changeset	151 self.assertRaises(TypeError, F, "3/2", 3)
53346 114059c26794 Issue #5812: The two-argument form of the Fraction constructor Mark Dickinson <dickinsm@gmail.com> parents: 53324 diff changeset	152 self.assertRaises(TypeError, F, 3, 0j)
114059c26794 Issue #5812: The two-argument form of the Fraction constructor Mark Dickinson <dickinsm@gmail.com> parents: 53324 diff changeset	153 self.assertRaises(TypeError, F, 3, 1j)
114059c26794 Issue #5812: The two-argument form of the Fraction constructor Mark Dickinson <dickinsm@gmail.com> parents: 53324 diff changeset	154
60193 ffa0aa70c746 Issue #8294: Allow float and Decimal arguments in Fraction constructor. Mark Dickinson <dickinsm@gmail.com> parents: 60040 diff changeset	155 @requires_IEEE_754
ffa0aa70c746 Issue #8294: Allow float and Decimal arguments in Fraction constructor. Mark Dickinson <dickinsm@gmail.com> parents: 60040 diff changeset	156 def testInitFromFloat(self):
66348 614c84670c63 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 60193 diff changeset	157 self.assertEqual((5, 2), _components(F(2.5)))
614c84670c63 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 60193 diff changeset	158 self.assertEqual((0, 1), _components(F(-0.0)))
614c84670c63 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 60193 diff changeset	159 self.assertEqual((3602879701896397, 36028797018963968),
614c84670c63 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 60193 diff changeset	160 _components(F(0.1)))
60193 ffa0aa70c746 Issue #8294: Allow float and Decimal arguments in Fraction constructor. Mark Dickinson <dickinsm@gmail.com> parents: 60040 diff changeset	161 self.assertRaises(TypeError, F, float('nan'))
ffa0aa70c746 Issue #8294: Allow float and Decimal arguments in Fraction constructor. Mark Dickinson <dickinsm@gmail.com> parents: 60040 diff changeset	162 self.assertRaises(TypeError, F, float('inf'))
ffa0aa70c746 Issue #8294: Allow float and Decimal arguments in Fraction constructor. Mark Dickinson <dickinsm@gmail.com> parents: 60040 diff changeset	163 self.assertRaises(TypeError, F, float('-inf'))
ffa0aa70c746 Issue #8294: Allow float and Decimal arguments in Fraction constructor. Mark Dickinson <dickinsm@gmail.com> parents: 60040 diff changeset	164
ffa0aa70c746 Issue #8294: Allow float and Decimal arguments in Fraction constructor. Mark Dickinson <dickinsm@gmail.com> parents: 60040 diff changeset	165 def testInitFromDecimal(self):
66348 614c84670c63 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 60193 diff changeset	166 self.assertEqual((11, 10),
614c84670c63 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 60193 diff changeset	167 _components(F(Decimal('1.1'))))
614c84670c63 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 60193 diff changeset	168 self.assertEqual((7, 200),
614c84670c63 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 60193 diff changeset	169 _components(F(Decimal('3.5e-2'))))
614c84670c63 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 60193 diff changeset	170 self.assertEqual((0, 1),
614c84670c63 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 60193 diff changeset	171 _components(F(Decimal('.000e20'))))
60193 ffa0aa70c746 Issue #8294: Allow float and Decimal arguments in Fraction constructor. Mark Dickinson <dickinsm@gmail.com> parents: 60040 diff changeset	172 self.assertRaises(TypeError, F, Decimal('nan'))
ffa0aa70c746 Issue #8294: Allow float and Decimal arguments in Fraction constructor. Mark Dickinson <dickinsm@gmail.com> parents: 60040 diff changeset	173 self.assertRaises(TypeError, F, Decimal('snan'))
ffa0aa70c746 Issue #8294: Allow float and Decimal arguments in Fraction constructor. Mark Dickinson <dickinsm@gmail.com> parents: 60040 diff changeset	174 self.assertRaises(TypeError, F, Decimal('inf'))
ffa0aa70c746 Issue #8294: Allow float and Decimal arguments in Fraction constructor. Mark Dickinson <dickinsm@gmail.com> parents: 60040 diff changeset	175 self.assertRaises(TypeError, F, Decimal('-inf'))
44757 c4709b81abde Several tweaks: add construction from strings and .from_decimal(), change Jeffrey Yasskin <jyasskin@gmail.com> parents: 44691 diff changeset	176
c4709b81abde Several tweaks: add construction from strings and .from_decimal(), change Jeffrey Yasskin <jyasskin@gmail.com> parents: 44691 diff changeset	177 def testFromString(self):
66348 614c84670c63 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 60193 diff changeset	178 self.assertEqual((5, 1), _components(F("5")))
614c84670c63 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 60193 diff changeset	179 self.assertEqual((3, 2), _components(F("3/2")))
614c84670c63 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 60193 diff changeset	180 self.assertEqual((3, 2), _components(F(" \n +3/2")))
614c84670c63 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 60193 diff changeset	181 self.assertEqual((-3, 2), _components(F("-3/2 ")))
614c84670c63 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 60193 diff changeset	182 self.assertEqual((13, 2), _components(F(" 013/02 \n ")))
614c84670c63 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 60193 diff changeset	183 self.assertEqual((13, 2), _components(F(u" 013/02 \n ")))
44993 4dd0fcf3daf7 Make rational.gcd() public and allow Rational to take decimal strings, per Jeffrey Yasskin <jyasskin@gmail.com> parents: 44936 diff changeset	184
66348 614c84670c63 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 60193 diff changeset	185 self.assertEqual((16, 5), _components(F(" 3.2 ")))
614c84670c63 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 60193 diff changeset	186 self.assertEqual((-16, 5), _components(F(u" -3.2 ")))
614c84670c63 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 60193 diff changeset	187 self.assertEqual((-3, 1), _components(F(u" -3. ")))
614c84670c63 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 60193 diff changeset	188 self.assertEqual((3, 5), _components(F(u" .6 ")))
614c84670c63 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 60193 diff changeset	189 self.assertEqual((1, 3125), _components(F("32.e-5")))
614c84670c63 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 60193 diff changeset	190 self.assertEqual((1000000, 1), _components(F("1E+06")))
614c84670c63 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 60193 diff changeset	191 self.assertEqual((-12300, 1), _components(F("-1.23e4")))
614c84670c63 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 60193 diff changeset	192 self.assertEqual((0, 1), _components(F(" .0e+0\t")))
614c84670c63 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 60193 diff changeset	193 self.assertEqual((0, 1), _components(F("-0.000e0")))
44993 4dd0fcf3daf7 Make rational.gcd() public and allow Rational to take decimal strings, per Jeffrey Yasskin <jyasskin@gmail.com> parents: 44936 diff changeset	194
44757 c4709b81abde Several tweaks: add construction from strings and .from_decimal(), change Jeffrey Yasskin <jyasskin@gmail.com> parents: 44691 diff changeset	195
c4709b81abde Several tweaks: add construction from strings and .from_decimal(), change Jeffrey Yasskin <jyasskin@gmail.com> parents: 44691 diff changeset	196 self.assertRaisesMessage(
45275 a50c1fb7d920 Rename rational.Rational to fractions.Fraction, to avoid name clash Mark Dickinson <dickinsm@gmail.com> parents: 45233 diff changeset	197 ZeroDivisionError, "Fraction(3, 0)",
45306 8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	198 F, "3/0")
44757 c4709b81abde Several tweaks: add construction from strings and .from_decimal(), change Jeffrey Yasskin <jyasskin@gmail.com> parents: 44691 diff changeset	199 self.assertRaisesMessage(
47793 ac6eab2473c5 Use repr() for bad input strings; this makes the empty string or binary characters more visible Andrew M. Kuchling <amk@amk.ca> parents: 45468 diff changeset	200 ValueError, "Invalid literal for Fraction: '3/'",
45306 8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	201 F, "3/")
44757 c4709b81abde Several tweaks: add construction from strings and .from_decimal(), change Jeffrey Yasskin <jyasskin@gmail.com> parents: 44691 diff changeset	202 self.assertRaisesMessage(
53324 85597e55668c Issue #5812: make Fraction('1e-6') valid. Backport of r71806. Mark Dickinson <dickinsm@gmail.com> parents: 51568 diff changeset	203 ValueError, "Invalid literal for Fraction: '/2'",
85597e55668c Issue #5812: make Fraction('1e-6') valid. Backport of r71806. Mark Dickinson <dickinsm@gmail.com> parents: 51568 diff changeset	204 F, "/2")
85597e55668c Issue #5812: make Fraction('1e-6') valid. Backport of r71806. Mark Dickinson <dickinsm@gmail.com> parents: 51568 diff changeset	205 self.assertRaisesMessage(
47793 ac6eab2473c5 Use repr() for bad input strings; this makes the empty string or binary characters more visible Andrew M. Kuchling <amk@amk.ca> parents: 45468 diff changeset	206 ValueError, "Invalid literal for Fraction: '3 /2'",
45306 8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	207 F, "3 /2")
44757 c4709b81abde Several tweaks: add construction from strings and .from_decimal(), change Jeffrey Yasskin <jyasskin@gmail.com> parents: 44691 diff changeset	208 self.assertRaisesMessage(
c4709b81abde Several tweaks: add construction from strings and .from_decimal(), change Jeffrey Yasskin <jyasskin@gmail.com> parents: 44691 diff changeset	209 # Denominators don't need a sign.
47793 ac6eab2473c5 Use repr() for bad input strings; this makes the empty string or binary characters more visible Andrew M. Kuchling <amk@amk.ca> parents: 45468 diff changeset	210 ValueError, "Invalid literal for Fraction: '3/+2'",
45306 8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	211 F, "3/+2")
44757 c4709b81abde Several tweaks: add construction from strings and .from_decimal(), change Jeffrey Yasskin <jyasskin@gmail.com> parents: 44691 diff changeset	212 self.assertRaisesMessage(
c4709b81abde Several tweaks: add construction from strings and .from_decimal(), change Jeffrey Yasskin <jyasskin@gmail.com> parents: 44691 diff changeset	213 # Imitate float's parsing.
47793 ac6eab2473c5 Use repr() for bad input strings; this makes the empty string or binary characters more visible Andrew M. Kuchling <amk@amk.ca> parents: 45468 diff changeset	214 ValueError, "Invalid literal for Fraction: '+ 3/2'",
45306 8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	215 F, "+ 3/2")
44757 c4709b81abde Several tweaks: add construction from strings and .from_decimal(), change Jeffrey Yasskin <jyasskin@gmail.com> parents: 44691 diff changeset	216 self.assertRaisesMessage(
44993 4dd0fcf3daf7 Make rational.gcd() public and allow Rational to take decimal strings, per Jeffrey Yasskin <jyasskin@gmail.com> parents: 44936 diff changeset	217 # Avoid treating '.' as a regex special character.
47793 ac6eab2473c5 Use repr() for bad input strings; this makes the empty string or binary characters more visible Andrew M. Kuchling <amk@amk.ca> parents: 45468 diff changeset	218 ValueError, "Invalid literal for Fraction: '3a2'",
45306 8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	219 F, "3a2")
44993 4dd0fcf3daf7 Make rational.gcd() public and allow Rational to take decimal strings, per Jeffrey Yasskin <jyasskin@gmail.com> parents: 44936 diff changeset	220 self.assertRaisesMessage(
45275 a50c1fb7d920 Rename rational.Rational to fractions.Fraction, to avoid name clash Mark Dickinson <dickinsm@gmail.com> parents: 45233 diff changeset	221 # Don't accept combinations of decimals and fractions.
47793 ac6eab2473c5 Use repr() for bad input strings; this makes the empty string or binary characters more visible Andrew M. Kuchling <amk@amk.ca> parents: 45468 diff changeset	222 ValueError, "Invalid literal for Fraction: '3/7.2'",
45306 8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	223 F, "3/7.2")
44993 4dd0fcf3daf7 Make rational.gcd() public and allow Rational to take decimal strings, per Jeffrey Yasskin <jyasskin@gmail.com> parents: 44936 diff changeset	224 self.assertRaisesMessage(
45275 a50c1fb7d920 Rename rational.Rational to fractions.Fraction, to avoid name clash Mark Dickinson <dickinsm@gmail.com> parents: 45233 diff changeset	225 # Don't accept combinations of decimals and fractions.
47793 ac6eab2473c5 Use repr() for bad input strings; this makes the empty string or binary characters more visible Andrew M. Kuchling <amk@amk.ca> parents: 45468 diff changeset	226 ValueError, "Invalid literal for Fraction: '3.2/7'",
45306 8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	227 F, "3.2/7")
45113 04653f92664f Make the Rational constructor accept '3.' and '.2' as well as '3.2'. Mark Dickinson <dickinsm@gmail.com> parents: 45080 diff changeset	228 self.assertRaisesMessage(
04653f92664f Make the Rational constructor accept '3.' and '.2' as well as '3.2'. Mark Dickinson <dickinsm@gmail.com> parents: 45080 diff changeset	229 # Allow 3. and .3, but not .
47793 ac6eab2473c5 Use repr() for bad input strings; this makes the empty string or binary characters more visible Andrew M. Kuchling <amk@amk.ca> parents: 45468 diff changeset	230 ValueError, "Invalid literal for Fraction: '.'",
45306 8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	231 F, ".")
44757 c4709b81abde Several tweaks: add construction from strings and .from_decimal(), change Jeffrey Yasskin <jyasskin@gmail.com> parents: 44691 diff changeset	232
c4709b81abde Several tweaks: add construction from strings and .from_decimal(), change Jeffrey Yasskin <jyasskin@gmail.com> parents: 44691 diff changeset	233 def testImmutable(self):
45306 8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	234 r = F(7, 3)
44757 c4709b81abde Several tweaks: add construction from strings and .from_decimal(), change Jeffrey Yasskin <jyasskin@gmail.com> parents: 44691 diff changeset	235 r.__init__(2, 15)
66348 614c84670c63 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 60193 diff changeset	236 self.assertEqual((7, 3), _components(r))
44757 c4709b81abde Several tweaks: add construction from strings and .from_decimal(), change Jeffrey Yasskin <jyasskin@gmail.com> parents: 44691 diff changeset	237
45080 678509f9a03f Roll back r60248. It's useful to encourage users not to change Rational Jeffrey Yasskin <jyasskin@gmail.com> parents: 45079 diff changeset	238 self.assertRaises(AttributeError, setattr, r, 'numerator', 12)
678509f9a03f Roll back r60248. It's useful to encourage users not to change Rational Jeffrey Yasskin <jyasskin@gmail.com> parents: 45079 diff changeset	239 self.assertRaises(AttributeError, setattr, r, 'denominator', 6)
66348 614c84670c63 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 60193 diff changeset	240 self.assertEqual((7, 3), _components(r))
45080 678509f9a03f Roll back r60248. It's useful to encourage users not to change Rational Jeffrey Yasskin <jyasskin@gmail.com> parents: 45079 diff changeset	241
678509f9a03f Roll back r60248. It's useful to encourage users not to change Rational Jeffrey Yasskin <jyasskin@gmail.com> parents: 45079 diff changeset	242 # But if you _really_ need to:
678509f9a03f Roll back r60248. It's useful to encourage users not to change Rational Jeffrey Yasskin <jyasskin@gmail.com> parents: 45079 diff changeset	243 r._numerator = 4
678509f9a03f Roll back r60248. It's useful to encourage users not to change Rational Jeffrey Yasskin <jyasskin@gmail.com> parents: 45079 diff changeset	244 r._denominator = 2
66348 614c84670c63 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 60193 diff changeset	245 self.assertEqual((4, 2), _components(r))
45080 678509f9a03f Roll back r60248. It's useful to encourage users not to change Rational Jeffrey Yasskin <jyasskin@gmail.com> parents: 45079 diff changeset	246 # Which breaks some important operations:
66348 614c84670c63 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 60193 diff changeset	247 self.assertNotEqual(F(4, 2), r)
45080 678509f9a03f Roll back r60248. It's useful to encourage users not to change Rational Jeffrey Yasskin <jyasskin@gmail.com> parents: 45079 diff changeset	248
44691 46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	249 def testFromFloat(self):
47920 bd435e8b2e28 Issue 3285: Fractions from_float() and from_decimal() accept Integral arguments. Raymond Hettinger <python@rcn.com> parents: 47916 diff changeset	250 self.assertRaises(TypeError, F.from_float, 3+4j)
66348 614c84670c63 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 60193 diff changeset	251 self.assertEqual((10, 1), _components(F.from_float(10)))
50476 c45fed03f747 Fractions.from_float() no longer loses precision with large integer inputs. Raymond Hettinger <python@rcn.com> parents: 47920 diff changeset	252 bigint = 1234567890123456789
66348 614c84670c63 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 60193 diff changeset	253 self.assertEqual((bigint, 1), _components(F.from_float(bigint)))
614c84670c63 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 60193 diff changeset	254 self.assertEqual((0, 1), _components(F.from_float(-0.0)))
614c84670c63 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 60193 diff changeset	255 self.assertEqual((10, 1), _components(F.from_float(10.0)))
614c84670c63 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 60193 diff changeset	256 self.assertEqual((-5, 2), _components(F.from_float(-2.5)))
614c84670c63 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 60193 diff changeset	257 self.assertEqual((99999999999999991611392, 1),
614c84670c63 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 60193 diff changeset	258 _components(F.from_float(1e23)))
614c84670c63 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 60193 diff changeset	259 self.assertEqual(float(10**23), float(F.from_float(1e23)))
614c84670c63 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 60193 diff changeset	260 self.assertEqual((3602879701896397, 1125899906842624),
614c84670c63 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 60193 diff changeset	261 _components(F.from_float(3.2)))
614c84670c63 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 60193 diff changeset	262 self.assertEqual(3.2, float(F.from_float(3.2)))
44691 46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	263
46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	264 inf = 1e1000
46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	265 nan = inf - inf
46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	266 self.assertRaisesMessage(
45275 a50c1fb7d920 Rename rational.Rational to fractions.Fraction, to avoid name clash Mark Dickinson <dickinsm@gmail.com> parents: 45233 diff changeset	267 TypeError, "Cannot convert inf to Fraction.",
45306 8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	268 F.from_float, inf)
44691 46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	269 self.assertRaisesMessage(
45275 a50c1fb7d920 Rename rational.Rational to fractions.Fraction, to avoid name clash Mark Dickinson <dickinsm@gmail.com> parents: 45233 diff changeset	270 TypeError, "Cannot convert -inf to Fraction.",
45306 8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	271 F.from_float, -inf)
44691 46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	272 self.assertRaisesMessage(
45275 a50c1fb7d920 Rename rational.Rational to fractions.Fraction, to avoid name clash Mark Dickinson <dickinsm@gmail.com> parents: 45233 diff changeset	273 TypeError, "Cannot convert nan to Fraction.",
45306 8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	274 F.from_float, nan)
44691 46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	275
44757 c4709b81abde Several tweaks: add construction from strings and .from_decimal(), change Jeffrey Yasskin <jyasskin@gmail.com> parents: 44691 diff changeset	276 def testFromDecimal(self):
47920 bd435e8b2e28 Issue 3285: Fractions from_float() and from_decimal() accept Integral arguments. Raymond Hettinger <python@rcn.com> parents: 47916 diff changeset	277 self.assertRaises(TypeError, F.from_decimal, 3+4j)
66348 614c84670c63 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 60193 diff changeset	278 self.assertEqual(F(10, 1), F.from_decimal(10))
614c84670c63 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 60193 diff changeset	279 self.assertEqual(F(0), F.from_decimal(Decimal("-0")))
614c84670c63 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 60193 diff changeset	280 self.assertEqual(F(5, 10), F.from_decimal(Decimal("0.5")))
614c84670c63 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 60193 diff changeset	281 self.assertEqual(F(5, 1000), F.from_decimal(Decimal("5e-3")))
614c84670c63 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 60193 diff changeset	282 self.assertEqual(F(5000), F.from_decimal(Decimal("5e3")))
614c84670c63 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 60193 diff changeset	283 self.assertEqual(1 - F(1, 10**30),
614c84670c63 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 60193 diff changeset	284 F.from_decimal(Decimal("0." + "9" * 30)))
44757 c4709b81abde Several tweaks: add construction from strings and .from_decimal(), change Jeffrey Yasskin <jyasskin@gmail.com> parents: 44691 diff changeset	285
c4709b81abde Several tweaks: add construction from strings and .from_decimal(), change Jeffrey Yasskin <jyasskin@gmail.com> parents: 44691 diff changeset	286 self.assertRaisesMessage(
45275 a50c1fb7d920 Rename rational.Rational to fractions.Fraction, to avoid name clash Mark Dickinson <dickinsm@gmail.com> parents: 45233 diff changeset	287 TypeError, "Cannot convert Infinity to Fraction.",
45306 8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	288 F.from_decimal, Decimal("inf"))
44757 c4709b81abde Several tweaks: add construction from strings and .from_decimal(), change Jeffrey Yasskin <jyasskin@gmail.com> parents: 44691 diff changeset	289 self.assertRaisesMessage(
45275 a50c1fb7d920 Rename rational.Rational to fractions.Fraction, to avoid name clash Mark Dickinson <dickinsm@gmail.com> parents: 45233 diff changeset	290 TypeError, "Cannot convert -Infinity to Fraction.",
45306 8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	291 F.from_decimal, Decimal("-inf"))
44757 c4709b81abde Several tweaks: add construction from strings and .from_decimal(), change Jeffrey Yasskin <jyasskin@gmail.com> parents: 44691 diff changeset	292 self.assertRaisesMessage(
45275 a50c1fb7d920 Rename rational.Rational to fractions.Fraction, to avoid name clash Mark Dickinson <dickinsm@gmail.com> parents: 45233 diff changeset	293 TypeError, "Cannot convert NaN to Fraction.",
45306 8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	294 F.from_decimal, Decimal("nan"))
44757 c4709b81abde Several tweaks: add construction from strings and .from_decimal(), change Jeffrey Yasskin <jyasskin@gmail.com> parents: 44691 diff changeset	295 self.assertRaisesMessage(
45275 a50c1fb7d920 Rename rational.Rational to fractions.Fraction, to avoid name clash Mark Dickinson <dickinsm@gmail.com> parents: 45233 diff changeset	296 TypeError, "Cannot convert sNaN to Fraction.",
45306 8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	297 F.from_decimal, Decimal("snan"))
44757 c4709b81abde Several tweaks: add construction from strings and .from_decimal(), change Jeffrey Yasskin <jyasskin@gmail.com> parents: 44691 diff changeset	298
45303 d673d003b6ca Implementation of Fraction.limit_denominator. Mark Dickinson <dickinsm@gmail.com> parents: 45277 diff changeset	299 def testLimitDenominator(self):
45306 8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	300 rpi = F('3.1415926535897932')
8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	301 self.assertEqual(rpi.limit_denominator(10000), F(355, 113))
8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	302 self.assertEqual(-rpi.limit_denominator(10000), F(-355, 113))
8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	303 self.assertEqual(rpi.limit_denominator(113), F(355, 113))
8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	304 self.assertEqual(rpi.limit_denominator(112), F(333, 106))
8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	305 self.assertEqual(F(201, 200).limit_denominator(100), F(1))
8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	306 self.assertEqual(F(201, 200).limit_denominator(101), F(102, 101))
8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	307 self.assertEqual(F(0).limit_denominator(10000), F(0))
75345 8e00de3acb44 #14089: increase coverage of the fractions module. Patch by Oleg Plakhotnyuk. Ezio Melotti <ezio.melotti@gmail.com> parents: 66348 diff changeset	308 for i in (0, -1):
8e00de3acb44 #14089: increase coverage of the fractions module. Patch by Oleg Plakhotnyuk. Ezio Melotti <ezio.melotti@gmail.com> parents: 66348 diff changeset	309 self.assertRaisesMessage(
8e00de3acb44 #14089: increase coverage of the fractions module. Patch by Oleg Plakhotnyuk. Ezio Melotti <ezio.melotti@gmail.com> parents: 66348 diff changeset	310 ValueError, "max_denominator should be at least 1",
8e00de3acb44 #14089: increase coverage of the fractions module. Patch by Oleg Plakhotnyuk. Ezio Melotti <ezio.melotti@gmail.com> parents: 66348 diff changeset	311 F(1).limit_denominator, i)
44899 cdc4aecedd4c Add first-cut at an approximation function (still needs rounding tweaks). Add continued fraction conversions. Raymond Hettinger <python@rcn.com> parents: 44757 diff changeset	312
44691 46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	313 def testConversions(self):
45306 8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	314 self.assertTypedEquals(-1, math.trunc(F(-11, 10)))
8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	315 self.assertTypedEquals(-1, int(F(-11, 10)))
75345 8e00de3acb44 #14089: increase coverage of the fractions module. Patch by Oleg Plakhotnyuk. Ezio Melotti <ezio.melotti@gmail.com> parents: 66348 diff changeset	316 self.assertTypedEquals(1, math.trunc(F(11, 10)))
66348 614c84670c63 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 60193 diff changeset	317 self.assertEqual(False, bool(F(0, 1)))
614c84670c63 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 60193 diff changeset	318 self.assertEqual(True, bool(F(3, 2)))
45306 8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	319 self.assertTypedEquals(0.1, float(F(1, 10)))
44691 46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	320
46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	321 # Check that __float__ isn't implemented by converting the
46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	322 # numerator and denominator to float before dividing.
46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	323 self.assertRaises(OverflowError, float, long('2'*400+'7'))
66348 614c84670c63 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 60193 diff changeset	324 self.assertAlmostEqual(2.0/3,
45306 8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	325 float(F(long('2'400+'7'), long('3'400+'1'))))
44691 46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	326
45306 8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	327 self.assertTypedEquals(0.1+0j, complex(F(1,10)))
44691 46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	328
46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	329
46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	330 def testArithmetic(self):
66348 614c84670c63 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 60193 diff changeset	331 self.assertEqual(F(1, 2), F(1, 10) + F(2, 5))
614c84670c63 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 60193 diff changeset	332 self.assertEqual(F(-3, 10), F(1, 10) - F(2, 5))
614c84670c63 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 60193 diff changeset	333 self.assertEqual(F(1, 25), F(1, 10) * F(2, 5))
614c84670c63 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 60193 diff changeset	334 self.assertEqual(F(1, 4), F(1, 10) / F(2, 5))
45306 8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	335 self.assertTypedEquals(2, F(9, 10) // F(2, 5))
8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	336 self.assertTypedEquals(1023, F(1023, 1) // F(1))
66348 614c84670c63 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 60193 diff changeset	337 self.assertEqual(F(2, 3), F(-7, 3) % F(3, 2))
614c84670c63 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 60193 diff changeset	338 self.assertEqual(F(8, 27), F(2, 3) ** F(3))
614c84670c63 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 60193 diff changeset	339 self.assertEqual(F(27, 8), F(2, 3) ** F(-3))
45306 8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	340 self.assertTypedEquals(2.0, F(4) ** F(1, 2))
75345 8e00de3acb44 #14089: increase coverage of the fractions module. Patch by Oleg Plakhotnyuk. Ezio Melotti <ezio.melotti@gmail.com> parents: 66348 diff changeset	341 self.assertEqual(F(1, 1), +F(1, 1))
44691 46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	342 # Will return 1j in 3.0:
45306 8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	343 self.assertRaises(ValueError, pow, F(-1), F(1, 2))
44691 46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	344
46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	345 def testMixedArithmetic(self):
45306 8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	346 self.assertTypedEquals(F(11, 10), F(1, 10) + 1)
8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	347 self.assertTypedEquals(1.1, F(1, 10) + 1.0)
8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	348 self.assertTypedEquals(1.1 + 0j, F(1, 10) + (1.0 + 0j))
8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	349 self.assertTypedEquals(F(11, 10), 1 + F(1, 10))
8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	350 self.assertTypedEquals(1.1, 1.0 + F(1, 10))
8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	351 self.assertTypedEquals(1.1 + 0j, (1.0 + 0j) + F(1, 10))
44691 46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	352
45306 8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	353 self.assertTypedEquals(F(-9, 10), F(1, 10) - 1)
8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	354 self.assertTypedEquals(-0.9, F(1, 10) - 1.0)
8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	355 self.assertTypedEquals(-0.9 + 0j, F(1, 10) - (1.0 + 0j))
8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	356 self.assertTypedEquals(F(9, 10), 1 - F(1, 10))
8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	357 self.assertTypedEquals(0.9, 1.0 - F(1, 10))
8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	358 self.assertTypedEquals(0.9 + 0j, (1.0 + 0j) - F(1, 10))
44691 46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	359
45306 8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	360 self.assertTypedEquals(F(1, 10), F(1, 10) * 1)
8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	361 self.assertTypedEquals(0.1, F(1, 10) * 1.0)
8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	362 self.assertTypedEquals(0.1 + 0j, F(1, 10) * (1.0 + 0j))
8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	363 self.assertTypedEquals(F(1, 10), 1 * F(1, 10))
8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	364 self.assertTypedEquals(0.1, 1.0 * F(1, 10))
8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	365 self.assertTypedEquals(0.1 + 0j, (1.0 + 0j) * F(1, 10))
44691 46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	366
45306 8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	367 self.assertTypedEquals(F(1, 10), F(1, 10) / 1)
8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	368 self.assertTypedEquals(0.1, F(1, 10) / 1.0)
8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	369 self.assertTypedEquals(0.1 + 0j, F(1, 10) / (1.0 + 0j))
8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	370 self.assertTypedEquals(F(10, 1), 1 / F(1, 10))
8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	371 self.assertTypedEquals(10.0, 1.0 / F(1, 10))
8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	372 self.assertTypedEquals(10.0 + 0j, (1.0 + 0j) / F(1, 10))
44691 46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	373
45306 8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	374 self.assertTypedEquals(0, F(1, 10) // 1)
8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	375 self.assertTypedEquals(0.0, F(1, 10) // 1.0)
8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	376 self.assertTypedEquals(10, 1 // F(1, 10))
8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	377 self.assertTypedEquals(1023, 1022 // F(1, 10))
8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	378 self.assertTypedEquals(10.0, 1.0 // F(1, 10))
44691 46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	379
45306 8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	380 self.assertTypedEquals(F(1, 10), F(1, 10) % 1)
8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	381 self.assertTypedEquals(0.1, F(1, 10) % 1.0)
8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	382 self.assertTypedEquals(F(0, 1), 1 % F(1, 10))
8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	383 self.assertTypedEquals(0.0, 1.0 % F(1, 10))
44691 46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	384
46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	385 # No need for divmod since we don't override it.
46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	386
46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	387 # ** has more interesting conversion rules.
45306 8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	388 self.assertTypedEquals(F(100, 1), F(1, 10) ** -2)
8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	389 self.assertTypedEquals(F(100, 1), F(10, 1) ** 2)
8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	390 self.assertTypedEquals(0.1, F(1, 10) ** 1.0)
8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	391 self.assertTypedEquals(0.1 + 0j, F(1, 10) ** (1.0 + 0j))
8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	392 self.assertTypedEquals(4 , 2 ** F(2, 1))
44691 46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	393 # Will return 1j in 3.0:
45306 8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	394 self.assertRaises(ValueError, pow, (-1), F(1, 2))
8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	395 self.assertTypedEquals(F(1, 4) , 2 ** F(-2, 1))
8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	396 self.assertTypedEquals(2.0 , 4 ** F(1, 2))
8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	397 self.assertTypedEquals(0.25, 2.0 ** F(-2, 1))
8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	398 self.assertTypedEquals(1.0 + 0j, (1.0 + 0j) ** F(1, 10))
44691 46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	399
46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	400 def testMixingWithDecimal(self):
44757 c4709b81abde Several tweaks: add construction from strings and .from_decimal(), change Jeffrey Yasskin <jyasskin@gmail.com> parents: 44691 diff changeset	401 # Decimal refuses mixed comparisons.
44691 46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	402 self.assertRaisesMessage(
46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	403 TypeError,
45275 a50c1fb7d920 Rename rational.Rational to fractions.Fraction, to avoid name clash Mark Dickinson <dickinsm@gmail.com> parents: 45233 diff changeset	404 "unsupported operand type(s) for +: 'Fraction' and 'Decimal'",
45306 8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	405 operator.add, F(3,11), Decimal('3.1415926'))
75345 8e00de3acb44 #14089: increase coverage of the fractions module. Patch by Oleg Plakhotnyuk. Ezio Melotti <ezio.melotti@gmail.com> parents: 66348 diff changeset	406 self.assertRaisesMessage(
8e00de3acb44 #14089: increase coverage of the fractions module. Patch by Oleg Plakhotnyuk. Ezio Melotti <ezio.melotti@gmail.com> parents: 66348 diff changeset	407 TypeError,
8e00de3acb44 #14089: increase coverage of the fractions module. Patch by Oleg Plakhotnyuk. Ezio Melotti <ezio.melotti@gmail.com> parents: 66348 diff changeset	408 "unsupported operand type(s) for +: 'Decimal' and 'Fraction'",
8e00de3acb44 #14089: increase coverage of the fractions module. Patch by Oleg Plakhotnyuk. Ezio Melotti <ezio.melotti@gmail.com> parents: 66348 diff changeset	409 operator.add, Decimal('3.1415926'), F(3,11))
66348 614c84670c63 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 60193 diff changeset	410 self.assertNotEqual(F(5, 2), Decimal('2.5'))
44691 46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	411
46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	412 def testComparisons(self):
45306 8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	413 self.assertTrue(F(1, 2) < F(2, 3))
8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	414 self.assertFalse(F(1, 2) < F(1, 2))
8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	415 self.assertTrue(F(1, 2) <= F(2, 3))
8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	416 self.assertTrue(F(1, 2) <= F(1, 2))
8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	417 self.assertFalse(F(2, 3) <= F(1, 2))
8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	418 self.assertTrue(F(1, 2) == F(1, 2))
8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	419 self.assertFalse(F(1, 2) == F(1, 3))
8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	420 self.assertFalse(F(1, 2) != F(1, 2))
8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	421 self.assertTrue(F(1, 2) != F(1, 3))
44691 46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	422
55325 9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	423 def testComparisonsDummyRational(self):
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	424 self.assertTrue(F(1, 2) == DummyRational(1, 2))
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	425 self.assertTrue(DummyRational(1, 2) == F(1, 2))
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	426 self.assertFalse(F(1, 2) == DummyRational(3, 4))
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	427 self.assertFalse(DummyRational(3, 4) == F(1, 2))
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	428
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	429 self.assertTrue(F(1, 2) < DummyRational(3, 4))
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	430 self.assertFalse(F(1, 2) < DummyRational(1, 2))
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	431 self.assertFalse(F(1, 2) < DummyRational(1, 7))
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	432 self.assertFalse(F(1, 2) > DummyRational(3, 4))
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	433 self.assertFalse(F(1, 2) > DummyRational(1, 2))
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	434 self.assertTrue(F(1, 2) > DummyRational(1, 7))
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	435 self.assertTrue(F(1, 2) <= DummyRational(3, 4))
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	436 self.assertTrue(F(1, 2) <= DummyRational(1, 2))
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	437 self.assertFalse(F(1, 2) <= DummyRational(1, 7))
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	438 self.assertFalse(F(1, 2) >= DummyRational(3, 4))
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	439 self.assertTrue(F(1, 2) >= DummyRational(1, 2))
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	440 self.assertTrue(F(1, 2) >= DummyRational(1, 7))
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	441
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	442 self.assertTrue(DummyRational(1, 2) < F(3, 4))
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	443 self.assertFalse(DummyRational(1, 2) < F(1, 2))
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	444 self.assertFalse(DummyRational(1, 2) < F(1, 7))
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	445 self.assertFalse(DummyRational(1, 2) > F(3, 4))
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	446 self.assertFalse(DummyRational(1, 2) > F(1, 2))
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	447 self.assertTrue(DummyRational(1, 2) > F(1, 7))
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	448 self.assertTrue(DummyRational(1, 2) <= F(3, 4))
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	449 self.assertTrue(DummyRational(1, 2) <= F(1, 2))
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	450 self.assertFalse(DummyRational(1, 2) <= F(1, 7))
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	451 self.assertFalse(DummyRational(1, 2) >= F(3, 4))
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	452 self.assertTrue(DummyRational(1, 2) >= F(1, 2))
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	453 self.assertTrue(DummyRational(1, 2) >= F(1, 7))
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	454
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	455 def testComparisonsDummyFloat(self):
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	456 x = DummyFloat(1./3.)
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	457 y = F(1, 3)
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	458 self.assertTrue(x != y)
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	459 self.assertTrue(x < y or x > y)
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	460 self.assertFalse(x == y)
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	461 self.assertFalse(x <= y and x >= y)
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	462 self.assertTrue(y != x)
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	463 self.assertTrue(y < x or y > x)
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	464 self.assertFalse(y == x)
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	465 self.assertFalse(y <= x and y >= x)
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	466
44691 46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	467 def testMixedLess(self):
45306 8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	468 self.assertTrue(2 < F(5, 2))
8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	469 self.assertFalse(2 < F(4, 2))
8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	470 self.assertTrue(F(5, 2) < 3)
8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	471 self.assertFalse(F(4, 2) < 2)
44691 46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	472
45306 8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	473 self.assertTrue(F(1, 2) < 0.6)
8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	474 self.assertFalse(F(1, 2) < 0.4)
8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	475 self.assertTrue(0.4 < F(1, 2))
8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	476 self.assertFalse(0.5 < F(1, 2))
44691 46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	477
55325 9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	478 self.assertFalse(float('inf') < F(1, 2))
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	479 self.assertTrue(float('-inf') < F(0, 10))
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	480 self.assertFalse(float('nan') < F(-3, 7))
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	481 self.assertTrue(F(1, 2) < float('inf'))
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	482 self.assertFalse(F(17, 12) < float('-inf'))
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	483 self.assertFalse(F(144, -89) < float('nan'))
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	484
44691 46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	485 def testMixedLessEqual(self):
45306 8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	486 self.assertTrue(0.5 <= F(1, 2))
8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	487 self.assertFalse(0.6 <= F(1, 2))
8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	488 self.assertTrue(F(1, 2) <= 0.5)
8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	489 self.assertFalse(F(1, 2) <= 0.4)
8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	490 self.assertTrue(2 <= F(4, 2))
8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	491 self.assertFalse(2 <= F(3, 2))
8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	492 self.assertTrue(F(4, 2) <= 2)
8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	493 self.assertFalse(F(5, 2) <= 2)
44691 46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	494
55325 9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	495 self.assertFalse(float('inf') <= F(1, 2))
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	496 self.assertTrue(float('-inf') <= F(0, 10))
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	497 self.assertFalse(float('nan') <= F(-3, 7))
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	498 self.assertTrue(F(1, 2) <= float('inf'))
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	499 self.assertFalse(F(17, 12) <= float('-inf'))
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	500 self.assertFalse(F(144, -89) <= float('nan'))
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	501
44691 46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	502 def testBigFloatComparisons(self):
46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	503 # Because 10**23 can't be represented exactly as a float:
45306 8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	504 self.assertFalse(F(1023) == float(1023))
44691 46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	505 # The first test demonstrates why these are important.
45306 8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	506 self.assertFalse(1e23 < float(F(math.trunc(1e23) + 1)))
8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	507 self.assertTrue(1e23 < F(math.trunc(1e23) + 1))
8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	508 self.assertFalse(1e23 <= F(math.trunc(1e23) - 1))
8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	509 self.assertTrue(1e23 > F(math.trunc(1e23) - 1))
8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	510 self.assertFalse(1e23 >= F(math.trunc(1e23) + 1))
44691 46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	511
46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	512 def testBigComplexComparisons(self):
45306 8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	513 self.assertFalse(F(1023) == complex(1023))
60040 e5fe2f625983 Make Fraction to complex comparisons with <=, <, >= or > raise TypeError. Mark Dickinson <dickinsm@gmail.com> parents: 58669 diff changeset	514 self.assertRaises(TypeError, operator.gt, F(1023), complex(1023))
e5fe2f625983 Make Fraction to complex comparisons with <=, <, >= or > raise TypeError. Mark Dickinson <dickinsm@gmail.com> parents: 58669 diff changeset	515 self.assertRaises(TypeError, operator.le, F(1023), complex(1023))
e5fe2f625983 Make Fraction to complex comparisons with <=, <, >= or > raise TypeError. Mark Dickinson <dickinsm@gmail.com> parents: 58669 diff changeset	516
e5fe2f625983 Make Fraction to complex comparisons with <=, <, >= or > raise TypeError. Mark Dickinson <dickinsm@gmail.com> parents: 58669 diff changeset	517 x = F(3, 8)
e5fe2f625983 Make Fraction to complex comparisons with <=, <, >= or > raise TypeError. Mark Dickinson <dickinsm@gmail.com> parents: 58669 diff changeset	518 z = complex(0.375, 0.0)
e5fe2f625983 Make Fraction to complex comparisons with <=, <, >= or > raise TypeError. Mark Dickinson <dickinsm@gmail.com> parents: 58669 diff changeset	519 w = complex(0.375, 0.2)
e5fe2f625983 Make Fraction to complex comparisons with <=, <, >= or > raise TypeError. Mark Dickinson <dickinsm@gmail.com> parents: 58669 diff changeset	520 self.assertTrue(x == z)
e5fe2f625983 Make Fraction to complex comparisons with <=, <, >= or > raise TypeError. Mark Dickinson <dickinsm@gmail.com> parents: 58669 diff changeset	521 self.assertFalse(x != z)
e5fe2f625983 Make Fraction to complex comparisons with <=, <, >= or > raise TypeError. Mark Dickinson <dickinsm@gmail.com> parents: 58669 diff changeset	522 self.assertFalse(x == w)
e5fe2f625983 Make Fraction to complex comparisons with <=, <, >= or > raise TypeError. Mark Dickinson <dickinsm@gmail.com> parents: 58669 diff changeset	523 self.assertTrue(x != w)
e5fe2f625983 Make Fraction to complex comparisons with <=, <, >= or > raise TypeError. Mark Dickinson <dickinsm@gmail.com> parents: 58669 diff changeset	524 for op in operator.lt, operator.le, operator.gt, operator.ge:
e5fe2f625983 Make Fraction to complex comparisons with <=, <, >= or > raise TypeError. Mark Dickinson <dickinsm@gmail.com> parents: 58669 diff changeset	525 self.assertRaises(TypeError, op, x, z)
e5fe2f625983 Make Fraction to complex comparisons with <=, <, >= or > raise TypeError. Mark Dickinson <dickinsm@gmail.com> parents: 58669 diff changeset	526 self.assertRaises(TypeError, op, z, x)
e5fe2f625983 Make Fraction to complex comparisons with <=, <, >= or > raise TypeError. Mark Dickinson <dickinsm@gmail.com> parents: 58669 diff changeset	527 self.assertRaises(TypeError, op, x, w)
e5fe2f625983 Make Fraction to complex comparisons with <=, <, >= or > raise TypeError. Mark Dickinson <dickinsm@gmail.com> parents: 58669 diff changeset	528 self.assertRaises(TypeError, op, w, x)
44691 46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	529
46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	530 def testMixedEqual(self):
45306 8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	531 self.assertTrue(0.5 == F(1, 2))
8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	532 self.assertFalse(0.6 == F(1, 2))
8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	533 self.assertTrue(F(1, 2) == 0.5)
8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	534 self.assertFalse(F(1, 2) == 0.4)
8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	535 self.assertTrue(2 == F(4, 2))
8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	536 self.assertFalse(2 == F(3, 2))
8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	537 self.assertTrue(F(4, 2) == 2)
8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	538 self.assertFalse(F(5, 2) == 2)
55325 9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	539 self.assertFalse(F(5, 2) == float('nan'))
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	540 self.assertFalse(float('nan') == F(3, 7))
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	541 self.assertFalse(F(5, 2) == float('inf'))
9dc5aa62be72 Issue #6431: Fix Fraction comparisons with unknown types, and with Mark Dickinson <dickinsm@gmail.com> parents: 53346 diff changeset	542 self.assertFalse(float('-inf') == F(2, 5))
44691 46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	543
46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	544 def testStringification(self):
66348 614c84670c63 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 60193 diff changeset	545 self.assertEqual("Fraction(7, 3)", repr(F(7, 3)))
614c84670c63 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 60193 diff changeset	546 self.assertEqual("Fraction(6283185307, 2000000000)",
614c84670c63 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 60193 diff changeset	547 repr(F('3.1415926535')))
614c84670c63 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 60193 diff changeset	548 self.assertEqual("Fraction(-1, 100000000000000000000)",
614c84670c63 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 60193 diff changeset	549 repr(F(1, -10**20)))
614c84670c63 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 60193 diff changeset	550 self.assertEqual("7/3", str(F(7, 3)))
614c84670c63 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 60193 diff changeset	551 self.assertEqual("7", str(F(7, 1)))
44691 46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	552
46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	553 def testHash(self):
66348 614c84670c63 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 60193 diff changeset	554 self.assertEqual(hash(2.5), hash(F(5, 2)))
614c84670c63 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 60193 diff changeset	555 self.assertEqual(hash(1050), hash(F(1050)))
614c84670c63 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 60193 diff changeset	556 self.assertNotEqual(hash(float(1023)), hash(F(1023)))
44691 46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	557
46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	558 def testApproximatePi(self):
46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	559 # Algorithm borrowed from
46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	560 # http://docs.python.org/lib/decimal-recipes.html
45306 8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	561 three = F(3)
44691 46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	562 lasts, t, s, n, na, d, da = 0, three, 3, 1, 0, 0, 24
45306 8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	563 while abs(s - lasts) > F(1, 10**9):
44691 46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	564 lasts = s
46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	565 n, na = n+na, na+8
46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	566 d, da = d+da, da+32
46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	567 t = (t * n) / d
46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	568 s += t
66348 614c84670c63 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 60193 diff changeset	569 self.assertAlmostEqual(math.pi, s)
44691 46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	570
46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	571 def testApproximateCos1(self):
46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	572 # Algorithm borrowed from
46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	573 # http://docs.python.org/lib/decimal-recipes.html
45306 8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	574 x = F(1)
8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	575 i, lasts, s, fact, num, sign = 0, 0, F(1), 1, 1, 1
8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	576 while abs(s - lasts) > F(1, 10**9):
44691 46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	577 lasts = s
46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	578 i += 2
46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	579 fact = i (i-1)
46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	580 num = x x
46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	581 sign *= -1
46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	582 s += num / fact * sign
66348 614c84670c63 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 60193 diff changeset	583 self.assertAlmostEqual(math.cos(1), s)
44691 46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	584
44933 6da0eea36783 Add support for copy, deepcopy, and pickle. Raymond Hettinger <python@rcn.com> parents: 44925 diff changeset	585 def test_copy_deepcopy_pickle(self):
45306 8f8adec93cf2 Replace R=fractions.Fraction with F=fractions.Fraction in Mark Dickinson <dickinsm@gmail.com> parents: 45303 diff changeset	586 r = F(13, 7)
75345 8e00de3acb44 #14089: increase coverage of the fractions module. Patch by Oleg Plakhotnyuk. Ezio Melotti <ezio.melotti@gmail.com> parents: 66348 diff changeset	587 dr = DummyFraction(13, 7)
44933 6da0eea36783 Add support for copy, deepcopy, and pickle. Raymond Hettinger <python@rcn.com> parents: 44925 diff changeset	588 self.assertEqual(r, loads(dumps(r)))
6da0eea36783 Add support for copy, deepcopy, and pickle. Raymond Hettinger <python@rcn.com> parents: 44925 diff changeset	589 self.assertEqual(id(r), id(copy(r)))
6da0eea36783 Add support for copy, deepcopy, and pickle. Raymond Hettinger <python@rcn.com> parents: 44925 diff changeset	590 self.assertEqual(id(r), id(deepcopy(r)))
75345 8e00de3acb44 #14089: increase coverage of the fractions module. Patch by Oleg Plakhotnyuk. Ezio Melotti <ezio.melotti@gmail.com> parents: 66348 diff changeset	591 self.assertNotEqual(id(dr), id(copy(dr)))
8e00de3acb44 #14089: increase coverage of the fractions module. Patch by Oleg Plakhotnyuk. Ezio Melotti <ezio.melotti@gmail.com> parents: 66348 diff changeset	592 self.assertNotEqual(id(dr), id(deepcopy(dr)))
8e00de3acb44 #14089: increase coverage of the fractions module. Patch by Oleg Plakhotnyuk. Ezio Melotti <ezio.melotti@gmail.com> parents: 66348 diff changeset	593 self.assertTypedEquals(dr, copy(dr))
8e00de3acb44 #14089: increase coverage of the fractions module. Patch by Oleg Plakhotnyuk. Ezio Melotti <ezio.melotti@gmail.com> parents: 66348 diff changeset	594 self.assertTypedEquals(dr, deepcopy(dr))
44933 6da0eea36783 Add support for copy, deepcopy, and pickle. Raymond Hettinger <python@rcn.com> parents: 44925 diff changeset	595
51568 31645ead4c35 Merged revisions 68813,69546 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 50476 diff changeset	596 def test_slots(self):
31645ead4c35 Merged revisions 68813,69546 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 50476 diff changeset	597 # Issue 4998
31645ead4c35 Merged revisions 68813,69546 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 50476 diff changeset	598 r = F(13, 7)
31645ead4c35 Merged revisions 68813,69546 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 50476 diff changeset	599 self.assertRaises(AttributeError, setattr, r, 'a', 10)
31645ead4c35 Merged revisions 68813,69546 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 50476 diff changeset	600
44691 46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	601 def test_main():
45275 a50c1fb7d920 Rename rational.Rational to fractions.Fraction, to avoid name clash Mark Dickinson <dickinsm@gmail.com> parents: 45233 diff changeset	602 run_unittest(FractionTest, GcdTest)
44691 46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	603
46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	604 if __name__ == '__main__':
46e731bb6a85 Add rational.Rational as an implementation of numbers.Rational with infinite Jeffrey Yasskin <jyasskin@gmail.com> parents: diff changeset	605 test_main()

Mercurial > cpython-lru_cache-weakref

annotate Lib/test/test_fractions.py @ 79675:c0a2294de787 2.7