Christian Heimes | 3feef61 | 2008-02-11 06:19:17 +0000 | [diff] [blame] | 1 | """Tests for Lib/fractions.py.""" |
Guido van Rossum | 7736b5b | 2008-01-15 21:44:53 +0000 | [diff] [blame] | 2 | |
| 3 | from decimal import Decimal |
Zachary Ware | 38c707e | 2015-04-13 15:00:43 -0500 | [diff] [blame] | 4 | from test.support import requires_IEEE_754 |
Guido van Rossum | 7736b5b | 2008-01-15 21:44:53 +0000 | [diff] [blame] | 5 | import math |
Mark Dickinson | 85424c9 | 2009-07-18 14:41:42 +0000 | [diff] [blame] | 6 | import numbers |
Guido van Rossum | 7736b5b | 2008-01-15 21:44:53 +0000 | [diff] [blame] | 7 | import operator |
Christian Heimes | 3feef61 | 2008-02-11 06:19:17 +0000 | [diff] [blame] | 8 | import fractions |
Ezio Melotti | 682d374 | 2012-02-29 14:05:53 +0200 | [diff] [blame] | 9 | import sys |
Guido van Rossum | 7736b5b | 2008-01-15 21:44:53 +0000 | [diff] [blame] | 10 | import unittest |
Serhiy Storchaka | 48e47aa | 2015-05-13 00:19:51 +0300 | [diff] [blame] | 11 | import warnings |
Christian Heimes | 969fe57 | 2008-01-25 11:23:10 +0000 | [diff] [blame] | 12 | from copy import copy, deepcopy |
Neal Norwitz | 6ff93fe | 2008-01-26 21:52:30 +0000 | [diff] [blame] | 13 | from pickle import dumps, loads |
Christian Heimes | 68f5fbe | 2008-02-14 08:27:37 +0000 | [diff] [blame] | 14 | F = fractions.Fraction |
Christian Heimes | 3feef61 | 2008-02-11 06:19:17 +0000 | [diff] [blame] | 15 | gcd = fractions.gcd |
Christian Heimes | af98da1 | 2008-01-27 15:18:18 +0000 | [diff] [blame] | 16 | |
Mark Dickinson | 85424c9 | 2009-07-18 14:41:42 +0000 | [diff] [blame] | 17 | class DummyFloat(object): |
| 18 | """Dummy float class for testing comparisons with Fractions""" |
| 19 | |
| 20 | def __init__(self, value): |
| 21 | if not isinstance(value, float): |
| 22 | raise TypeError("DummyFloat can only be initialized from float") |
| 23 | self.value = value |
| 24 | |
| 25 | def _richcmp(self, other, op): |
| 26 | if isinstance(other, numbers.Rational): |
| 27 | return op(F.from_float(self.value), other) |
| 28 | elif isinstance(other, DummyFloat): |
| 29 | return op(self.value, other.value) |
| 30 | else: |
| 31 | return NotImplemented |
| 32 | |
| 33 | def __eq__(self, other): return self._richcmp(other, operator.eq) |
| 34 | def __le__(self, other): return self._richcmp(other, operator.le) |
| 35 | def __lt__(self, other): return self._richcmp(other, operator.lt) |
| 36 | def __ge__(self, other): return self._richcmp(other, operator.ge) |
| 37 | def __gt__(self, other): return self._richcmp(other, operator.gt) |
| 38 | |
| 39 | # shouldn't be calling __float__ at all when doing comparisons |
| 40 | def __float__(self): |
| 41 | assert False, "__float__ should not be invoked for comparisons" |
| 42 | |
| 43 | # same goes for subtraction |
| 44 | def __sub__(self, other): |
| 45 | assert False, "__sub__ should not be invoked for comparisons" |
| 46 | __rsub__ = __sub__ |
| 47 | |
| 48 | |
| 49 | class DummyRational(object): |
| 50 | """Test comparison of Fraction with a naive rational implementation.""" |
| 51 | |
| 52 | def __init__(self, num, den): |
Serhiy Storchaka | 48e47aa | 2015-05-13 00:19:51 +0300 | [diff] [blame] | 53 | g = math.gcd(num, den) |
Mark Dickinson | 85424c9 | 2009-07-18 14:41:42 +0000 | [diff] [blame] | 54 | self.num = num // g |
| 55 | self.den = den // g |
| 56 | |
| 57 | def __eq__(self, other): |
| 58 | if isinstance(other, fractions.Fraction): |
| 59 | return (self.num == other._numerator and |
| 60 | self.den == other._denominator) |
| 61 | else: |
| 62 | return NotImplemented |
| 63 | |
| 64 | def __lt__(self, other): |
| 65 | return(self.num * other._denominator < self.den * other._numerator) |
| 66 | |
| 67 | def __gt__(self, other): |
| 68 | return(self.num * other._denominator > self.den * other._numerator) |
| 69 | |
| 70 | def __le__(self, other): |
| 71 | return(self.num * other._denominator <= self.den * other._numerator) |
| 72 | |
| 73 | def __ge__(self, other): |
| 74 | return(self.num * other._denominator >= self.den * other._numerator) |
| 75 | |
| 76 | # this class is for testing comparisons; conversion to float |
| 77 | # should never be used for a comparison, since it loses accuracy |
| 78 | def __float__(self): |
| 79 | assert False, "__float__ should not be invoked" |
Christian Heimes | af98da1 | 2008-01-27 15:18:18 +0000 | [diff] [blame] | 80 | |
Ezio Melotti | 682d374 | 2012-02-29 14:05:53 +0200 | [diff] [blame] | 81 | class DummyFraction(fractions.Fraction): |
| 82 | """Dummy Fraction subclass for copy and deepcopy testing.""" |
| 83 | |
Christian Heimes | af98da1 | 2008-01-27 15:18:18 +0000 | [diff] [blame] | 84 | class GcdTest(unittest.TestCase): |
| 85 | |
| 86 | def testMisc(self): |
Serhiy Storchaka | 48e47aa | 2015-05-13 00:19:51 +0300 | [diff] [blame] | 87 | # fractions.gcd() is deprecated |
| 88 | with self.assertWarnsRegex(DeprecationWarning, r'fractions\.gcd'): |
| 89 | gcd(1, 1) |
| 90 | with warnings.catch_warnings(): |
| 91 | warnings.filterwarnings('ignore', r'fractions\.gcd', |
| 92 | DeprecationWarning) |
| 93 | self.assertEqual(0, gcd(0, 0)) |
| 94 | self.assertEqual(1, gcd(1, 0)) |
| 95 | self.assertEqual(-1, gcd(-1, 0)) |
| 96 | self.assertEqual(1, gcd(0, 1)) |
| 97 | self.assertEqual(-1, gcd(0, -1)) |
| 98 | self.assertEqual(1, gcd(7, 1)) |
| 99 | self.assertEqual(-1, gcd(7, -1)) |
| 100 | self.assertEqual(1, gcd(-23, 15)) |
| 101 | self.assertEqual(12, gcd(120, 84)) |
| 102 | self.assertEqual(-12, gcd(84, -120)) |
| 103 | self.assertEqual(gcd(120.0, 84), 12.0) |
| 104 | self.assertEqual(gcd(120, 84.0), 12.0) |
| 105 | self.assertEqual(gcd(F(120), F(84)), F(12)) |
| 106 | self.assertEqual(gcd(F(120, 77), F(84, 55)), F(12, 385)) |
Christian Heimes | af98da1 | 2008-01-27 15:18:18 +0000 | [diff] [blame] | 107 | |
Guido van Rossum | 7736b5b | 2008-01-15 21:44:53 +0000 | [diff] [blame] | 108 | |
| 109 | def _components(r): |
| 110 | return (r.numerator, r.denominator) |
| 111 | |
Christian Heimes | af98da1 | 2008-01-27 15:18:18 +0000 | [diff] [blame] | 112 | |
Christian Heimes | 3feef61 | 2008-02-11 06:19:17 +0000 | [diff] [blame] | 113 | class FractionTest(unittest.TestCase): |
Guido van Rossum | 7736b5b | 2008-01-15 21:44:53 +0000 | [diff] [blame] | 114 | |
| 115 | def assertTypedEquals(self, expected, actual): |
| 116 | """Asserts that both the types and values are the same.""" |
Ezio Melotti | b3aedd4 | 2010-11-20 19:04:17 +0000 | [diff] [blame] | 117 | self.assertEqual(type(expected), type(actual)) |
| 118 | self.assertEqual(expected, actual) |
Guido van Rossum | 7736b5b | 2008-01-15 21:44:53 +0000 | [diff] [blame] | 119 | |
Stefan Behnel | 3a374e0 | 2019-01-02 13:22:06 +0100 | [diff] [blame] | 120 | def assertTypedTupleEquals(self, expected, actual): |
| 121 | """Asserts that both the types and values in the tuples are the same.""" |
| 122 | self.assertTupleEqual(expected, actual) |
| 123 | self.assertListEqual(list(map(type, expected)), list(map(type, actual))) |
| 124 | |
Guido van Rossum | 7736b5b | 2008-01-15 21:44:53 +0000 | [diff] [blame] | 125 | def assertRaisesMessage(self, exc_type, message, |
| 126 | callable, *args, **kwargs): |
| 127 | """Asserts that callable(*args, **kwargs) raises exc_type(message).""" |
| 128 | try: |
| 129 | callable(*args, **kwargs) |
| 130 | except exc_type as e: |
Ezio Melotti | b3aedd4 | 2010-11-20 19:04:17 +0000 | [diff] [blame] | 131 | self.assertEqual(message, str(e)) |
Guido van Rossum | 7736b5b | 2008-01-15 21:44:53 +0000 | [diff] [blame] | 132 | else: |
| 133 | self.fail("%s not raised" % exc_type.__name__) |
| 134 | |
| 135 | def testInit(self): |
Ezio Melotti | b3aedd4 | 2010-11-20 19:04:17 +0000 | [diff] [blame] | 136 | self.assertEqual((0, 1), _components(F())) |
| 137 | self.assertEqual((7, 1), _components(F(7))) |
| 138 | self.assertEqual((7, 3), _components(F(F(7, 3)))) |
Guido van Rossum | 7736b5b | 2008-01-15 21:44:53 +0000 | [diff] [blame] | 139 | |
Ezio Melotti | b3aedd4 | 2010-11-20 19:04:17 +0000 | [diff] [blame] | 140 | self.assertEqual((-1, 1), _components(F(-1, 1))) |
| 141 | self.assertEqual((-1, 1), _components(F(1, -1))) |
| 142 | self.assertEqual((1, 1), _components(F(-2, -2))) |
| 143 | self.assertEqual((1, 2), _components(F(5, 10))) |
| 144 | self.assertEqual((7, 15), _components(F(7, 15))) |
| 145 | self.assertEqual((10**23, 1), _components(F(10**23))) |
Guido van Rossum | 7736b5b | 2008-01-15 21:44:53 +0000 | [diff] [blame] | 146 | |
Ezio Melotti | b3aedd4 | 2010-11-20 19:04:17 +0000 | [diff] [blame] | 147 | self.assertEqual((3, 77), _components(F(F(3, 7), 11))) |
| 148 | self.assertEqual((-9, 5), _components(F(2, F(-10, 9)))) |
| 149 | self.assertEqual((2486, 2485), _components(F(F(22, 7), F(355, 113)))) |
Mark Dickinson | d4d95f8 | 2009-04-24 14:06:19 +0000 | [diff] [blame] | 150 | |
Christian Heimes | 3feef61 | 2008-02-11 06:19:17 +0000 | [diff] [blame] | 151 | self.assertRaisesMessage(ZeroDivisionError, "Fraction(12, 0)", |
Christian Heimes | 68f5fbe | 2008-02-14 08:27:37 +0000 | [diff] [blame] | 152 | F, 12, 0) |
Georg Brandl | 86b2fb9 | 2008-07-16 03:43:04 +0000 | [diff] [blame] | 153 | self.assertRaises(TypeError, F, 1.5 + 3j) |
Guido van Rossum | 7736b5b | 2008-01-15 21:44:53 +0000 | [diff] [blame] | 154 | |
Georg Brandl | 86b2fb9 | 2008-07-16 03:43:04 +0000 | [diff] [blame] | 155 | self.assertRaises(TypeError, F, "3/2", 3) |
Mark Dickinson | d4d95f8 | 2009-04-24 14:06:19 +0000 | [diff] [blame] | 156 | self.assertRaises(TypeError, F, 3, 0j) |
| 157 | self.assertRaises(TypeError, F, 3, 1j) |
Mark Dickinson | 7caf908 | 2016-08-23 16:16:52 +0100 | [diff] [blame] | 158 | self.assertRaises(TypeError, F, 1, 2, 3) |
Mark Dickinson | d4d95f8 | 2009-04-24 14:06:19 +0000 | [diff] [blame] | 159 | |
Mark Dickinson | 98127c3 | 2010-04-03 11:18:52 +0000 | [diff] [blame] | 160 | @requires_IEEE_754 |
| 161 | def testInitFromFloat(self): |
Ezio Melotti | b3aedd4 | 2010-11-20 19:04:17 +0000 | [diff] [blame] | 162 | self.assertEqual((5, 2), _components(F(2.5))) |
| 163 | self.assertEqual((0, 1), _components(F(-0.0))) |
| 164 | self.assertEqual((3602879701896397, 36028797018963968), |
| 165 | _components(F(0.1))) |
Mark Dickinson | 73726aa | 2012-11-15 20:58:40 +0000 | [diff] [blame] | 166 | # bug 16469: error types should be consistent with float -> int |
| 167 | self.assertRaises(ValueError, F, float('nan')) |
| 168 | self.assertRaises(OverflowError, F, float('inf')) |
| 169 | self.assertRaises(OverflowError, F, float('-inf')) |
Mark Dickinson | 98127c3 | 2010-04-03 11:18:52 +0000 | [diff] [blame] | 170 | |
| 171 | def testInitFromDecimal(self): |
Ezio Melotti | b3aedd4 | 2010-11-20 19:04:17 +0000 | [diff] [blame] | 172 | self.assertEqual((11, 10), |
| 173 | _components(F(Decimal('1.1')))) |
| 174 | self.assertEqual((7, 200), |
| 175 | _components(F(Decimal('3.5e-2')))) |
| 176 | self.assertEqual((0, 1), |
| 177 | _components(F(Decimal('.000e20')))) |
Mark Dickinson | 73726aa | 2012-11-15 20:58:40 +0000 | [diff] [blame] | 178 | # bug 16469: error types should be consistent with decimal -> int |
| 179 | self.assertRaises(ValueError, F, Decimal('nan')) |
| 180 | self.assertRaises(ValueError, F, Decimal('snan')) |
| 181 | self.assertRaises(OverflowError, F, Decimal('inf')) |
| 182 | self.assertRaises(OverflowError, F, Decimal('-inf')) |
Christian Heimes | 587c2bf | 2008-01-19 16:21:02 +0000 | [diff] [blame] | 183 | |
| 184 | def testFromString(self): |
Ezio Melotti | b3aedd4 | 2010-11-20 19:04:17 +0000 | [diff] [blame] | 185 | self.assertEqual((5, 1), _components(F("5"))) |
| 186 | self.assertEqual((3, 2), _components(F("3/2"))) |
| 187 | self.assertEqual((3, 2), _components(F(" \n +3/2"))) |
| 188 | self.assertEqual((-3, 2), _components(F("-3/2 "))) |
| 189 | self.assertEqual((13, 2), _components(F(" 013/02 \n "))) |
| 190 | self.assertEqual((16, 5), _components(F(" 3.2 "))) |
| 191 | self.assertEqual((-16, 5), _components(F(" -3.2 "))) |
| 192 | self.assertEqual((-3, 1), _components(F(" -3. "))) |
| 193 | self.assertEqual((3, 5), _components(F(" .6 "))) |
| 194 | self.assertEqual((1, 3125), _components(F("32.e-5"))) |
| 195 | self.assertEqual((1000000, 1), _components(F("1E+06"))) |
| 196 | self.assertEqual((-12300, 1), _components(F("-1.23e4"))) |
| 197 | self.assertEqual((0, 1), _components(F(" .0e+0\t"))) |
| 198 | self.assertEqual((0, 1), _components(F("-0.000e0"))) |
Christian Heimes | 587c2bf | 2008-01-19 16:21:02 +0000 | [diff] [blame] | 199 | |
| 200 | self.assertRaisesMessage( |
Christian Heimes | 3feef61 | 2008-02-11 06:19:17 +0000 | [diff] [blame] | 201 | ZeroDivisionError, "Fraction(3, 0)", |
Christian Heimes | 68f5fbe | 2008-02-14 08:27:37 +0000 | [diff] [blame] | 202 | F, "3/0") |
Christian Heimes | 587c2bf | 2008-01-19 16:21:02 +0000 | [diff] [blame] | 203 | self.assertRaisesMessage( |
Benjamin Peterson | dcf97b9 | 2008-07-02 17:30:14 +0000 | [diff] [blame] | 204 | ValueError, "Invalid literal for Fraction: '3/'", |
Christian Heimes | 68f5fbe | 2008-02-14 08:27:37 +0000 | [diff] [blame] | 205 | F, "3/") |
Christian Heimes | 587c2bf | 2008-01-19 16:21:02 +0000 | [diff] [blame] | 206 | self.assertRaisesMessage( |
Mark Dickinson | cf63f2f | 2009-04-22 17:50:21 +0000 | [diff] [blame] | 207 | ValueError, "Invalid literal for Fraction: '/2'", |
| 208 | F, "/2") |
| 209 | self.assertRaisesMessage( |
Benjamin Peterson | dcf97b9 | 2008-07-02 17:30:14 +0000 | [diff] [blame] | 210 | ValueError, "Invalid literal for Fraction: '3 /2'", |
Christian Heimes | 68f5fbe | 2008-02-14 08:27:37 +0000 | [diff] [blame] | 211 | F, "3 /2") |
Christian Heimes | 587c2bf | 2008-01-19 16:21:02 +0000 | [diff] [blame] | 212 | self.assertRaisesMessage( |
| 213 | # Denominators don't need a sign. |
Benjamin Peterson | dcf97b9 | 2008-07-02 17:30:14 +0000 | [diff] [blame] | 214 | ValueError, "Invalid literal for Fraction: '3/+2'", |
Christian Heimes | 68f5fbe | 2008-02-14 08:27:37 +0000 | [diff] [blame] | 215 | F, "3/+2") |
Christian Heimes | 587c2bf | 2008-01-19 16:21:02 +0000 | [diff] [blame] | 216 | self.assertRaisesMessage( |
| 217 | # Imitate float's parsing. |
Benjamin Peterson | dcf97b9 | 2008-07-02 17:30:14 +0000 | [diff] [blame] | 218 | ValueError, "Invalid literal for Fraction: '+ 3/2'", |
Christian Heimes | 68f5fbe | 2008-02-14 08:27:37 +0000 | [diff] [blame] | 219 | F, "+ 3/2") |
Christian Heimes | 587c2bf | 2008-01-19 16:21:02 +0000 | [diff] [blame] | 220 | self.assertRaisesMessage( |
Christian Heimes | af98da1 | 2008-01-27 15:18:18 +0000 | [diff] [blame] | 221 | # Avoid treating '.' as a regex special character. |
Benjamin Peterson | dcf97b9 | 2008-07-02 17:30:14 +0000 | [diff] [blame] | 222 | ValueError, "Invalid literal for Fraction: '3a2'", |
Christian Heimes | 68f5fbe | 2008-02-14 08:27:37 +0000 | [diff] [blame] | 223 | F, "3a2") |
Christian Heimes | af98da1 | 2008-01-27 15:18:18 +0000 | [diff] [blame] | 224 | self.assertRaisesMessage( |
Christian Heimes | af98da1 | 2008-01-27 15:18:18 +0000 | [diff] [blame] | 225 | # Don't accept combinations of decimals and rationals. |
Benjamin Peterson | dcf97b9 | 2008-07-02 17:30:14 +0000 | [diff] [blame] | 226 | ValueError, "Invalid literal for Fraction: '3/7.2'", |
Christian Heimes | 68f5fbe | 2008-02-14 08:27:37 +0000 | [diff] [blame] | 227 | F, "3/7.2") |
Christian Heimes | af98da1 | 2008-01-27 15:18:18 +0000 | [diff] [blame] | 228 | self.assertRaisesMessage( |
| 229 | # Don't accept combinations of decimals and rationals. |
Benjamin Peterson | dcf97b9 | 2008-07-02 17:30:14 +0000 | [diff] [blame] | 230 | ValueError, "Invalid literal for Fraction: '3.2/7'", |
Christian Heimes | 68f5fbe | 2008-02-14 08:27:37 +0000 | [diff] [blame] | 231 | F, "3.2/7") |
Christian Heimes | 292d351 | 2008-02-03 16:51:08 +0000 | [diff] [blame] | 232 | self.assertRaisesMessage( |
| 233 | # Allow 3. and .3, but not . |
Benjamin Peterson | dcf97b9 | 2008-07-02 17:30:14 +0000 | [diff] [blame] | 234 | ValueError, "Invalid literal for Fraction: '.'", |
Christian Heimes | 68f5fbe | 2008-02-14 08:27:37 +0000 | [diff] [blame] | 235 | F, ".") |
Christian Heimes | 587c2bf | 2008-01-19 16:21:02 +0000 | [diff] [blame] | 236 | |
| 237 | def testImmutable(self): |
Christian Heimes | 68f5fbe | 2008-02-14 08:27:37 +0000 | [diff] [blame] | 238 | r = F(7, 3) |
Christian Heimes | 587c2bf | 2008-01-19 16:21:02 +0000 | [diff] [blame] | 239 | r.__init__(2, 15) |
Ezio Melotti | b3aedd4 | 2010-11-20 19:04:17 +0000 | [diff] [blame] | 240 | self.assertEqual((7, 3), _components(r)) |
Christian Heimes | 587c2bf | 2008-01-19 16:21:02 +0000 | [diff] [blame] | 241 | |
Christian Heimes | 400adb0 | 2008-02-01 08:12:03 +0000 | [diff] [blame] | 242 | self.assertRaises(AttributeError, setattr, r, 'numerator', 12) |
| 243 | self.assertRaises(AttributeError, setattr, r, 'denominator', 6) |
Ezio Melotti | b3aedd4 | 2010-11-20 19:04:17 +0000 | [diff] [blame] | 244 | self.assertEqual((7, 3), _components(r)) |
Christian Heimes | 400adb0 | 2008-02-01 08:12:03 +0000 | [diff] [blame] | 245 | |
| 246 | # But if you _really_ need to: |
| 247 | r._numerator = 4 |
| 248 | r._denominator = 2 |
Ezio Melotti | b3aedd4 | 2010-11-20 19:04:17 +0000 | [diff] [blame] | 249 | self.assertEqual((4, 2), _components(r)) |
Christian Heimes | 400adb0 | 2008-02-01 08:12:03 +0000 | [diff] [blame] | 250 | # Which breaks some important operations: |
Ezio Melotti | b3aedd4 | 2010-11-20 19:04:17 +0000 | [diff] [blame] | 251 | self.assertNotEqual(F(4, 2), r) |
Christian Heimes | 400adb0 | 2008-02-01 08:12:03 +0000 | [diff] [blame] | 252 | |
Guido van Rossum | 7736b5b | 2008-01-15 21:44:53 +0000 | [diff] [blame] | 253 | def testFromFloat(self): |
Georg Brandl | 2ee470f | 2008-07-16 12:55:28 +0000 | [diff] [blame] | 254 | self.assertRaises(TypeError, F.from_float, 3+4j) |
Ezio Melotti | b3aedd4 | 2010-11-20 19:04:17 +0000 | [diff] [blame] | 255 | self.assertEqual((10, 1), _components(F.from_float(10))) |
Georg Brandl | 3a9b062 | 2009-01-03 22:07:57 +0000 | [diff] [blame] | 256 | bigint = 1234567890123456789 |
Ezio Melotti | b3aedd4 | 2010-11-20 19:04:17 +0000 | [diff] [blame] | 257 | self.assertEqual((bigint, 1), _components(F.from_float(bigint))) |
| 258 | self.assertEqual((0, 1), _components(F.from_float(-0.0))) |
| 259 | self.assertEqual((10, 1), _components(F.from_float(10.0))) |
| 260 | self.assertEqual((-5, 2), _components(F.from_float(-2.5))) |
| 261 | self.assertEqual((99999999999999991611392, 1), |
| 262 | _components(F.from_float(1e23))) |
| 263 | self.assertEqual(float(10**23), float(F.from_float(1e23))) |
| 264 | self.assertEqual((3602879701896397, 1125899906842624), |
| 265 | _components(F.from_float(3.2))) |
| 266 | self.assertEqual(3.2, float(F.from_float(3.2))) |
Guido van Rossum | 7736b5b | 2008-01-15 21:44:53 +0000 | [diff] [blame] | 267 | |
| 268 | inf = 1e1000 |
| 269 | nan = inf - inf |
Mark Dickinson | 73726aa | 2012-11-15 20:58:40 +0000 | [diff] [blame] | 270 | # bug 16469: error types should be consistent with float -> int |
Guido van Rossum | 7736b5b | 2008-01-15 21:44:53 +0000 | [diff] [blame] | 271 | self.assertRaisesMessage( |
Serhiy Storchaka | 0d250bc | 2015-12-29 22:34:23 +0200 | [diff] [blame] | 272 | OverflowError, "cannot convert Infinity to integer ratio", |
Christian Heimes | 68f5fbe | 2008-02-14 08:27:37 +0000 | [diff] [blame] | 273 | F.from_float, inf) |
Guido van Rossum | 7736b5b | 2008-01-15 21:44:53 +0000 | [diff] [blame] | 274 | self.assertRaisesMessage( |
Serhiy Storchaka | 0d250bc | 2015-12-29 22:34:23 +0200 | [diff] [blame] | 275 | OverflowError, "cannot convert Infinity to integer ratio", |
Christian Heimes | 68f5fbe | 2008-02-14 08:27:37 +0000 | [diff] [blame] | 276 | F.from_float, -inf) |
Guido van Rossum | 7736b5b | 2008-01-15 21:44:53 +0000 | [diff] [blame] | 277 | self.assertRaisesMessage( |
Serhiy Storchaka | 0d250bc | 2015-12-29 22:34:23 +0200 | [diff] [blame] | 278 | ValueError, "cannot convert NaN to integer ratio", |
Christian Heimes | 68f5fbe | 2008-02-14 08:27:37 +0000 | [diff] [blame] | 279 | F.from_float, nan) |
Guido van Rossum | 7736b5b | 2008-01-15 21:44:53 +0000 | [diff] [blame] | 280 | |
Christian Heimes | 587c2bf | 2008-01-19 16:21:02 +0000 | [diff] [blame] | 281 | def testFromDecimal(self): |
Georg Brandl | 2ee470f | 2008-07-16 12:55:28 +0000 | [diff] [blame] | 282 | self.assertRaises(TypeError, F.from_decimal, 3+4j) |
Ezio Melotti | b3aedd4 | 2010-11-20 19:04:17 +0000 | [diff] [blame] | 283 | self.assertEqual(F(10, 1), F.from_decimal(10)) |
| 284 | self.assertEqual(F(0), F.from_decimal(Decimal("-0"))) |
| 285 | self.assertEqual(F(5, 10), F.from_decimal(Decimal("0.5"))) |
| 286 | self.assertEqual(F(5, 1000), F.from_decimal(Decimal("5e-3"))) |
| 287 | self.assertEqual(F(5000), F.from_decimal(Decimal("5e3"))) |
| 288 | self.assertEqual(1 - F(1, 10**30), |
| 289 | F.from_decimal(Decimal("0." + "9" * 30))) |
Christian Heimes | 587c2bf | 2008-01-19 16:21:02 +0000 | [diff] [blame] | 290 | |
Mark Dickinson | 73726aa | 2012-11-15 20:58:40 +0000 | [diff] [blame] | 291 | # bug 16469: error types should be consistent with decimal -> int |
Christian Heimes | 587c2bf | 2008-01-19 16:21:02 +0000 | [diff] [blame] | 292 | self.assertRaisesMessage( |
Serhiy Storchaka | 0d250bc | 2015-12-29 22:34:23 +0200 | [diff] [blame] | 293 | OverflowError, "cannot convert Infinity to integer ratio", |
Christian Heimes | 68f5fbe | 2008-02-14 08:27:37 +0000 | [diff] [blame] | 294 | F.from_decimal, Decimal("inf")) |
Christian Heimes | 587c2bf | 2008-01-19 16:21:02 +0000 | [diff] [blame] | 295 | self.assertRaisesMessage( |
Serhiy Storchaka | 0d250bc | 2015-12-29 22:34:23 +0200 | [diff] [blame] | 296 | OverflowError, "cannot convert Infinity to integer ratio", |
Christian Heimes | 68f5fbe | 2008-02-14 08:27:37 +0000 | [diff] [blame] | 297 | F.from_decimal, Decimal("-inf")) |
Christian Heimes | 587c2bf | 2008-01-19 16:21:02 +0000 | [diff] [blame] | 298 | self.assertRaisesMessage( |
Serhiy Storchaka | 0d250bc | 2015-12-29 22:34:23 +0200 | [diff] [blame] | 299 | ValueError, "cannot convert NaN to integer ratio", |
Christian Heimes | 68f5fbe | 2008-02-14 08:27:37 +0000 | [diff] [blame] | 300 | F.from_decimal, Decimal("nan")) |
Christian Heimes | 587c2bf | 2008-01-19 16:21:02 +0000 | [diff] [blame] | 301 | self.assertRaisesMessage( |
Serhiy Storchaka | 0d250bc | 2015-12-29 22:34:23 +0200 | [diff] [blame] | 302 | ValueError, "cannot convert NaN to integer ratio", |
Christian Heimes | 68f5fbe | 2008-02-14 08:27:37 +0000 | [diff] [blame] | 303 | F.from_decimal, Decimal("snan")) |
Christian Heimes | 587c2bf | 2008-01-19 16:21:02 +0000 | [diff] [blame] | 304 | |
Christian Heimes | 68f5fbe | 2008-02-14 08:27:37 +0000 | [diff] [blame] | 305 | def testLimitDenominator(self): |
| 306 | rpi = F('3.1415926535897932') |
| 307 | self.assertEqual(rpi.limit_denominator(10000), F(355, 113)) |
| 308 | self.assertEqual(-rpi.limit_denominator(10000), F(-355, 113)) |
| 309 | self.assertEqual(rpi.limit_denominator(113), F(355, 113)) |
| 310 | self.assertEqual(rpi.limit_denominator(112), F(333, 106)) |
| 311 | self.assertEqual(F(201, 200).limit_denominator(100), F(1)) |
| 312 | self.assertEqual(F(201, 200).limit_denominator(101), F(102, 101)) |
| 313 | self.assertEqual(F(0).limit_denominator(10000), F(0)) |
Ezio Melotti | 682d374 | 2012-02-29 14:05:53 +0200 | [diff] [blame] | 314 | for i in (0, -1): |
| 315 | self.assertRaisesMessage( |
| 316 | ValueError, "max_denominator should be at least 1", |
| 317 | F(1).limit_denominator, i) |
Christian Heimes | bbffeb6 | 2008-01-24 09:42:52 +0000 | [diff] [blame] | 318 | |
Guido van Rossum | 7736b5b | 2008-01-15 21:44:53 +0000 | [diff] [blame] | 319 | def testConversions(self): |
Christian Heimes | 68f5fbe | 2008-02-14 08:27:37 +0000 | [diff] [blame] | 320 | self.assertTypedEquals(-1, math.trunc(F(-11, 10))) |
Ezio Melotti | 682d374 | 2012-02-29 14:05:53 +0200 | [diff] [blame] | 321 | self.assertTypedEquals(1, math.trunc(F(11, 10))) |
Christian Heimes | 68f5fbe | 2008-02-14 08:27:37 +0000 | [diff] [blame] | 322 | self.assertTypedEquals(-2, math.floor(F(-11, 10))) |
| 323 | self.assertTypedEquals(-1, math.ceil(F(-11, 10))) |
| 324 | self.assertTypedEquals(-1, math.ceil(F(-10, 10))) |
| 325 | self.assertTypedEquals(-1, int(F(-11, 10))) |
| 326 | self.assertTypedEquals(0, round(F(-1, 10))) |
| 327 | self.assertTypedEquals(0, round(F(-5, 10))) |
| 328 | self.assertTypedEquals(-2, round(F(-15, 10))) |
| 329 | self.assertTypedEquals(-1, round(F(-7, 10))) |
Guido van Rossum | 7736b5b | 2008-01-15 21:44:53 +0000 | [diff] [blame] | 330 | |
Ezio Melotti | b3aedd4 | 2010-11-20 19:04:17 +0000 | [diff] [blame] | 331 | self.assertEqual(False, bool(F(0, 1))) |
| 332 | self.assertEqual(True, bool(F(3, 2))) |
Christian Heimes | 68f5fbe | 2008-02-14 08:27:37 +0000 | [diff] [blame] | 333 | self.assertTypedEquals(0.1, float(F(1, 10))) |
Guido van Rossum | 7736b5b | 2008-01-15 21:44:53 +0000 | [diff] [blame] | 334 | |
| 335 | # Check that __float__ isn't implemented by converting the |
| 336 | # numerator and denominator to float before dividing. |
| 337 | self.assertRaises(OverflowError, float, int('2'*400+'7')) |
Ezio Melotti | b3aedd4 | 2010-11-20 19:04:17 +0000 | [diff] [blame] | 338 | self.assertAlmostEqual(2.0/3, |
| 339 | float(F(int('2'*400+'7'), int('3'*400+'1')))) |
Guido van Rossum | 7736b5b | 2008-01-15 21:44:53 +0000 | [diff] [blame] | 340 | |
Christian Heimes | 68f5fbe | 2008-02-14 08:27:37 +0000 | [diff] [blame] | 341 | self.assertTypedEquals(0.1+0j, complex(F(1,10))) |
Guido van Rossum | 7736b5b | 2008-01-15 21:44:53 +0000 | [diff] [blame] | 342 | |
| 343 | def testRound(self): |
Christian Heimes | 68f5fbe | 2008-02-14 08:27:37 +0000 | [diff] [blame] | 344 | self.assertTypedEquals(F(-200), round(F(-150), -2)) |
| 345 | self.assertTypedEquals(F(-200), round(F(-250), -2)) |
| 346 | self.assertTypedEquals(F(30), round(F(26), -1)) |
| 347 | self.assertTypedEquals(F(-2, 10), round(F(-15, 100), 1)) |
| 348 | self.assertTypedEquals(F(-2, 10), round(F(-25, 100), 1)) |
Guido van Rossum | 7736b5b | 2008-01-15 21:44:53 +0000 | [diff] [blame] | 349 | |
Guido van Rossum | 7736b5b | 2008-01-15 21:44:53 +0000 | [diff] [blame] | 350 | def testArithmetic(self): |
Ezio Melotti | b3aedd4 | 2010-11-20 19:04:17 +0000 | [diff] [blame] | 351 | self.assertEqual(F(1, 2), F(1, 10) + F(2, 5)) |
| 352 | self.assertEqual(F(-3, 10), F(1, 10) - F(2, 5)) |
| 353 | self.assertEqual(F(1, 25), F(1, 10) * F(2, 5)) |
| 354 | self.assertEqual(F(1, 4), F(1, 10) / F(2, 5)) |
Christian Heimes | 68f5fbe | 2008-02-14 08:27:37 +0000 | [diff] [blame] | 355 | self.assertTypedEquals(2, F(9, 10) // F(2, 5)) |
| 356 | self.assertTypedEquals(10**23, F(10**23, 1) // F(1)) |
Stefan Behnel | 3a374e0 | 2019-01-02 13:22:06 +0100 | [diff] [blame] | 357 | self.assertEqual(F(5, 6), F(7, 3) % F(3, 2)) |
Ezio Melotti | b3aedd4 | 2010-11-20 19:04:17 +0000 | [diff] [blame] | 358 | self.assertEqual(F(2, 3), F(-7, 3) % F(3, 2)) |
Stefan Behnel | 3a374e0 | 2019-01-02 13:22:06 +0100 | [diff] [blame] | 359 | self.assertEqual((F(1), F(5, 6)), divmod(F(7, 3), F(3, 2))) |
| 360 | self.assertEqual((F(-2), F(2, 3)), divmod(F(-7, 3), F(3, 2))) |
Ezio Melotti | b3aedd4 | 2010-11-20 19:04:17 +0000 | [diff] [blame] | 361 | self.assertEqual(F(8, 27), F(2, 3) ** F(3)) |
| 362 | self.assertEqual(F(27, 8), F(2, 3) ** F(-3)) |
Christian Heimes | 68f5fbe | 2008-02-14 08:27:37 +0000 | [diff] [blame] | 363 | self.assertTypedEquals(2.0, F(4) ** F(1, 2)) |
Ezio Melotti | 682d374 | 2012-02-29 14:05:53 +0200 | [diff] [blame] | 364 | self.assertEqual(F(1, 1), +F(1, 1)) |
Christian Heimes | 68f5fbe | 2008-02-14 08:27:37 +0000 | [diff] [blame] | 365 | z = pow(F(-1), F(1, 2)) |
Ezio Melotti | b3aedd4 | 2010-11-20 19:04:17 +0000 | [diff] [blame] | 366 | self.assertAlmostEqual(z.real, 0) |
| 367 | self.assertEqual(z.imag, 1) |
Mark Dickinson | 8447965 | 2016-08-22 10:50:53 +0100 | [diff] [blame] | 368 | # Regression test for #27539. |
| 369 | p = F(-1, 2) ** 0 |
| 370 | self.assertEqual(p, F(1, 1)) |
| 371 | self.assertEqual(p.numerator, 1) |
| 372 | self.assertEqual(p.denominator, 1) |
| 373 | p = F(-1, 2) ** -1 |
| 374 | self.assertEqual(p, F(-2, 1)) |
| 375 | self.assertEqual(p.numerator, -2) |
| 376 | self.assertEqual(p.denominator, 1) |
| 377 | p = F(-1, 2) ** -2 |
| 378 | self.assertEqual(p, F(4, 1)) |
| 379 | self.assertEqual(p.numerator, 4) |
| 380 | self.assertEqual(p.denominator, 1) |
Guido van Rossum | 7736b5b | 2008-01-15 21:44:53 +0000 | [diff] [blame] | 381 | |
Stefan Behnel | 3a374e0 | 2019-01-02 13:22:06 +0100 | [diff] [blame] | 382 | def testLargeArithmetic(self): |
| 383 | self.assertTypedEquals( |
| 384 | F(10101010100808080808080808101010101010000000000000000, |
| 385 | 1010101010101010101010101011111111101010101010101010101010101), |
| 386 | F(10**35+1, 10**27+1) % F(10**27+1, 10**35-1) |
| 387 | ) |
| 388 | self.assertTypedEquals( |
| 389 | F(7, 1901475900342344102245054808064), |
| 390 | F(-2**100, 3) % F(5, 2**100) |
| 391 | ) |
| 392 | self.assertTypedTupleEquals( |
| 393 | (9999999999999999, |
| 394 | F(10101010100808080808080808101010101010000000000000000, |
| 395 | 1010101010101010101010101011111111101010101010101010101010101)), |
| 396 | divmod(F(10**35+1, 10**27+1), F(10**27+1, 10**35-1)) |
| 397 | ) |
| 398 | self.assertTypedEquals( |
| 399 | -2 ** 200 // 15, |
| 400 | F(-2**100, 3) // F(5, 2**100) |
| 401 | ) |
| 402 | self.assertTypedEquals( |
| 403 | 1, |
| 404 | F(5, 2**100) // F(3, 2**100) |
| 405 | ) |
| 406 | self.assertTypedEquals( |
| 407 | (1, F(2, 2**100)), |
| 408 | divmod(F(5, 2**100), F(3, 2**100)) |
| 409 | ) |
| 410 | self.assertTypedTupleEquals( |
| 411 | (-2 ** 200 // 15, |
| 412 | F(7, 1901475900342344102245054808064)), |
| 413 | divmod(F(-2**100, 3), F(5, 2**100)) |
| 414 | ) |
| 415 | |
Guido van Rossum | 7736b5b | 2008-01-15 21:44:53 +0000 | [diff] [blame] | 416 | def testMixedArithmetic(self): |
Christian Heimes | 68f5fbe | 2008-02-14 08:27:37 +0000 | [diff] [blame] | 417 | self.assertTypedEquals(F(11, 10), F(1, 10) + 1) |
| 418 | self.assertTypedEquals(1.1, F(1, 10) + 1.0) |
| 419 | self.assertTypedEquals(1.1 + 0j, F(1, 10) + (1.0 + 0j)) |
| 420 | self.assertTypedEquals(F(11, 10), 1 + F(1, 10)) |
| 421 | self.assertTypedEquals(1.1, 1.0 + F(1, 10)) |
| 422 | self.assertTypedEquals(1.1 + 0j, (1.0 + 0j) + F(1, 10)) |
Guido van Rossum | 7736b5b | 2008-01-15 21:44:53 +0000 | [diff] [blame] | 423 | |
Christian Heimes | 68f5fbe | 2008-02-14 08:27:37 +0000 | [diff] [blame] | 424 | self.assertTypedEquals(F(-9, 10), F(1, 10) - 1) |
| 425 | self.assertTypedEquals(-0.9, F(1, 10) - 1.0) |
| 426 | self.assertTypedEquals(-0.9 + 0j, F(1, 10) - (1.0 + 0j)) |
| 427 | self.assertTypedEquals(F(9, 10), 1 - F(1, 10)) |
| 428 | self.assertTypedEquals(0.9, 1.0 - F(1, 10)) |
| 429 | self.assertTypedEquals(0.9 + 0j, (1.0 + 0j) - F(1, 10)) |
Guido van Rossum | 7736b5b | 2008-01-15 21:44:53 +0000 | [diff] [blame] | 430 | |
Christian Heimes | 68f5fbe | 2008-02-14 08:27:37 +0000 | [diff] [blame] | 431 | self.assertTypedEquals(F(1, 10), F(1, 10) * 1) |
| 432 | self.assertTypedEquals(0.1, F(1, 10) * 1.0) |
| 433 | self.assertTypedEquals(0.1 + 0j, F(1, 10) * (1.0 + 0j)) |
| 434 | self.assertTypedEquals(F(1, 10), 1 * F(1, 10)) |
| 435 | self.assertTypedEquals(0.1, 1.0 * F(1, 10)) |
| 436 | self.assertTypedEquals(0.1 + 0j, (1.0 + 0j) * F(1, 10)) |
Guido van Rossum | 7736b5b | 2008-01-15 21:44:53 +0000 | [diff] [blame] | 437 | |
Christian Heimes | 68f5fbe | 2008-02-14 08:27:37 +0000 | [diff] [blame] | 438 | self.assertTypedEquals(F(1, 10), F(1, 10) / 1) |
| 439 | self.assertTypedEquals(0.1, F(1, 10) / 1.0) |
| 440 | self.assertTypedEquals(0.1 + 0j, F(1, 10) / (1.0 + 0j)) |
| 441 | self.assertTypedEquals(F(10, 1), 1 / F(1, 10)) |
| 442 | self.assertTypedEquals(10.0, 1.0 / F(1, 10)) |
| 443 | self.assertTypedEquals(10.0 + 0j, (1.0 + 0j) / F(1, 10)) |
Guido van Rossum | 7736b5b | 2008-01-15 21:44:53 +0000 | [diff] [blame] | 444 | |
Christian Heimes | 68f5fbe | 2008-02-14 08:27:37 +0000 | [diff] [blame] | 445 | self.assertTypedEquals(0, F(1, 10) // 1) |
Elias Zamaria | 393f1ff | 2018-08-26 23:59:28 -0700 | [diff] [blame] | 446 | self.assertTypedEquals(0.0, F(1, 10) // 1.0) |
Christian Heimes | 68f5fbe | 2008-02-14 08:27:37 +0000 | [diff] [blame] | 447 | self.assertTypedEquals(10, 1 // F(1, 10)) |
| 448 | self.assertTypedEquals(10**23, 10**22 // F(1, 10)) |
Elias Zamaria | 393f1ff | 2018-08-26 23:59:28 -0700 | [diff] [blame] | 449 | self.assertTypedEquals(1.0 // 0.1, 1.0 // F(1, 10)) |
Guido van Rossum | 7736b5b | 2008-01-15 21:44:53 +0000 | [diff] [blame] | 450 | |
Christian Heimes | 68f5fbe | 2008-02-14 08:27:37 +0000 | [diff] [blame] | 451 | self.assertTypedEquals(F(1, 10), F(1, 10) % 1) |
| 452 | self.assertTypedEquals(0.1, F(1, 10) % 1.0) |
| 453 | self.assertTypedEquals(F(0, 1), 1 % F(1, 10)) |
Elias Zamaria | 393f1ff | 2018-08-26 23:59:28 -0700 | [diff] [blame] | 454 | self.assertTypedEquals(1.0 % 0.1, 1.0 % F(1, 10)) |
| 455 | self.assertTypedEquals(0.1, F(1, 10) % float('inf')) |
| 456 | self.assertTypedEquals(float('-inf'), F(1, 10) % float('-inf')) |
| 457 | self.assertTypedEquals(float('inf'), F(-1, 10) % float('inf')) |
| 458 | self.assertTypedEquals(-0.1, F(-1, 10) % float('-inf')) |
Guido van Rossum | 7736b5b | 2008-01-15 21:44:53 +0000 | [diff] [blame] | 459 | |
Stefan Behnel | 3a374e0 | 2019-01-02 13:22:06 +0100 | [diff] [blame] | 460 | self.assertTypedTupleEquals((0, F(1, 10)), divmod(F(1, 10), 1)) |
| 461 | self.assertTypedTupleEquals(divmod(0.1, 1.0), divmod(F(1, 10), 1.0)) |
| 462 | self.assertTypedTupleEquals((10, F(0)), divmod(1, F(1, 10))) |
| 463 | self.assertTypedTupleEquals(divmod(1.0, 0.1), divmod(1.0, F(1, 10))) |
| 464 | self.assertTypedTupleEquals(divmod(0.1, float('inf')), divmod(F(1, 10), float('inf'))) |
| 465 | self.assertTypedTupleEquals(divmod(0.1, float('-inf')), divmod(F(1, 10), float('-inf'))) |
| 466 | self.assertTypedTupleEquals(divmod(-0.1, float('inf')), divmod(F(-1, 10), float('inf'))) |
| 467 | self.assertTypedTupleEquals(divmod(-0.1, float('-inf')), divmod(F(-1, 10), float('-inf'))) |
Guido van Rossum | 7736b5b | 2008-01-15 21:44:53 +0000 | [diff] [blame] | 468 | |
| 469 | # ** has more interesting conversion rules. |
Christian Heimes | 68f5fbe | 2008-02-14 08:27:37 +0000 | [diff] [blame] | 470 | self.assertTypedEquals(F(100, 1), F(1, 10) ** -2) |
| 471 | self.assertTypedEquals(F(100, 1), F(10, 1) ** 2) |
| 472 | self.assertTypedEquals(0.1, F(1, 10) ** 1.0) |
| 473 | self.assertTypedEquals(0.1 + 0j, F(1, 10) ** (1.0 + 0j)) |
| 474 | self.assertTypedEquals(4 , 2 ** F(2, 1)) |
| 475 | z = pow(-1, F(1, 2)) |
Ezio Melotti | b3aedd4 | 2010-11-20 19:04:17 +0000 | [diff] [blame] | 476 | self.assertAlmostEqual(0, z.real) |
| 477 | self.assertEqual(1, z.imag) |
Christian Heimes | 68f5fbe | 2008-02-14 08:27:37 +0000 | [diff] [blame] | 478 | self.assertTypedEquals(F(1, 4) , 2 ** F(-2, 1)) |
| 479 | self.assertTypedEquals(2.0 , 4 ** F(1, 2)) |
| 480 | self.assertTypedEquals(0.25, 2.0 ** F(-2, 1)) |
| 481 | self.assertTypedEquals(1.0 + 0j, (1.0 + 0j) ** F(1, 10)) |
Mark Dickinson | 3c286e2 | 2014-04-05 09:29:00 +0100 | [diff] [blame] | 482 | self.assertRaises(ZeroDivisionError, operator.pow, |
| 483 | F(0, 1), -2) |
Guido van Rossum | 7736b5b | 2008-01-15 21:44:53 +0000 | [diff] [blame] | 484 | |
| 485 | def testMixingWithDecimal(self): |
Mark Dickinson | 08ade6f | 2010-06-11 10:44:52 +0000 | [diff] [blame] | 486 | # Decimal refuses mixed arithmetic (but not mixed comparisons) |
Stefan Krah | 1919b7e | 2012-03-21 18:25:23 +0100 | [diff] [blame] | 487 | self.assertRaises(TypeError, operator.add, |
| 488 | F(3,11), Decimal('3.1415926')) |
| 489 | self.assertRaises(TypeError, operator.add, |
| 490 | Decimal('3.1415926'), F(3,11)) |
Guido van Rossum | 7736b5b | 2008-01-15 21:44:53 +0000 | [diff] [blame] | 491 | |
| 492 | def testComparisons(self): |
Christian Heimes | 68f5fbe | 2008-02-14 08:27:37 +0000 | [diff] [blame] | 493 | self.assertTrue(F(1, 2) < F(2, 3)) |
| 494 | self.assertFalse(F(1, 2) < F(1, 2)) |
| 495 | self.assertTrue(F(1, 2) <= F(2, 3)) |
| 496 | self.assertTrue(F(1, 2) <= F(1, 2)) |
| 497 | self.assertFalse(F(2, 3) <= F(1, 2)) |
| 498 | self.assertTrue(F(1, 2) == F(1, 2)) |
| 499 | self.assertFalse(F(1, 2) == F(1, 3)) |
| 500 | self.assertFalse(F(1, 2) != F(1, 2)) |
| 501 | self.assertTrue(F(1, 2) != F(1, 3)) |
Guido van Rossum | 7736b5b | 2008-01-15 21:44:53 +0000 | [diff] [blame] | 502 | |
Mark Dickinson | 85424c9 | 2009-07-18 14:41:42 +0000 | [diff] [blame] | 503 | def testComparisonsDummyRational(self): |
| 504 | self.assertTrue(F(1, 2) == DummyRational(1, 2)) |
| 505 | self.assertTrue(DummyRational(1, 2) == F(1, 2)) |
| 506 | self.assertFalse(F(1, 2) == DummyRational(3, 4)) |
| 507 | self.assertFalse(DummyRational(3, 4) == F(1, 2)) |
| 508 | |
| 509 | self.assertTrue(F(1, 2) < DummyRational(3, 4)) |
| 510 | self.assertFalse(F(1, 2) < DummyRational(1, 2)) |
| 511 | self.assertFalse(F(1, 2) < DummyRational(1, 7)) |
| 512 | self.assertFalse(F(1, 2) > DummyRational(3, 4)) |
| 513 | self.assertFalse(F(1, 2) > DummyRational(1, 2)) |
| 514 | self.assertTrue(F(1, 2) > DummyRational(1, 7)) |
| 515 | self.assertTrue(F(1, 2) <= DummyRational(3, 4)) |
| 516 | self.assertTrue(F(1, 2) <= DummyRational(1, 2)) |
| 517 | self.assertFalse(F(1, 2) <= DummyRational(1, 7)) |
| 518 | self.assertFalse(F(1, 2) >= DummyRational(3, 4)) |
| 519 | self.assertTrue(F(1, 2) >= DummyRational(1, 2)) |
| 520 | self.assertTrue(F(1, 2) >= DummyRational(1, 7)) |
| 521 | |
| 522 | self.assertTrue(DummyRational(1, 2) < F(3, 4)) |
| 523 | self.assertFalse(DummyRational(1, 2) < F(1, 2)) |
| 524 | self.assertFalse(DummyRational(1, 2) < F(1, 7)) |
| 525 | self.assertFalse(DummyRational(1, 2) > F(3, 4)) |
| 526 | self.assertFalse(DummyRational(1, 2) > F(1, 2)) |
| 527 | self.assertTrue(DummyRational(1, 2) > F(1, 7)) |
| 528 | self.assertTrue(DummyRational(1, 2) <= F(3, 4)) |
| 529 | self.assertTrue(DummyRational(1, 2) <= F(1, 2)) |
| 530 | self.assertFalse(DummyRational(1, 2) <= F(1, 7)) |
| 531 | self.assertFalse(DummyRational(1, 2) >= F(3, 4)) |
| 532 | self.assertTrue(DummyRational(1, 2) >= F(1, 2)) |
| 533 | self.assertTrue(DummyRational(1, 2) >= F(1, 7)) |
| 534 | |
| 535 | def testComparisonsDummyFloat(self): |
| 536 | x = DummyFloat(1./3.) |
| 537 | y = F(1, 3) |
| 538 | self.assertTrue(x != y) |
| 539 | self.assertTrue(x < y or x > y) |
| 540 | self.assertFalse(x == y) |
| 541 | self.assertFalse(x <= y and x >= y) |
| 542 | self.assertTrue(y != x) |
| 543 | self.assertTrue(y < x or y > x) |
| 544 | self.assertFalse(y == x) |
| 545 | self.assertFalse(y <= x and y >= x) |
| 546 | |
Guido van Rossum | 7736b5b | 2008-01-15 21:44:53 +0000 | [diff] [blame] | 547 | def testMixedLess(self): |
Christian Heimes | 68f5fbe | 2008-02-14 08:27:37 +0000 | [diff] [blame] | 548 | self.assertTrue(2 < F(5, 2)) |
| 549 | self.assertFalse(2 < F(4, 2)) |
| 550 | self.assertTrue(F(5, 2) < 3) |
| 551 | self.assertFalse(F(4, 2) < 2) |
Guido van Rossum | 7736b5b | 2008-01-15 21:44:53 +0000 | [diff] [blame] | 552 | |
Christian Heimes | 68f5fbe | 2008-02-14 08:27:37 +0000 | [diff] [blame] | 553 | self.assertTrue(F(1, 2) < 0.6) |
| 554 | self.assertFalse(F(1, 2) < 0.4) |
| 555 | self.assertTrue(0.4 < F(1, 2)) |
| 556 | self.assertFalse(0.5 < F(1, 2)) |
Guido van Rossum | 7736b5b | 2008-01-15 21:44:53 +0000 | [diff] [blame] | 557 | |
Mark Dickinson | 85424c9 | 2009-07-18 14:41:42 +0000 | [diff] [blame] | 558 | self.assertFalse(float('inf') < F(1, 2)) |
| 559 | self.assertTrue(float('-inf') < F(0, 10)) |
| 560 | self.assertFalse(float('nan') < F(-3, 7)) |
| 561 | self.assertTrue(F(1, 2) < float('inf')) |
| 562 | self.assertFalse(F(17, 12) < float('-inf')) |
| 563 | self.assertFalse(F(144, -89) < float('nan')) |
| 564 | |
Guido van Rossum | 7736b5b | 2008-01-15 21:44:53 +0000 | [diff] [blame] | 565 | def testMixedLessEqual(self): |
Christian Heimes | 68f5fbe | 2008-02-14 08:27:37 +0000 | [diff] [blame] | 566 | self.assertTrue(0.5 <= F(1, 2)) |
| 567 | self.assertFalse(0.6 <= F(1, 2)) |
| 568 | self.assertTrue(F(1, 2) <= 0.5) |
| 569 | self.assertFalse(F(1, 2) <= 0.4) |
| 570 | self.assertTrue(2 <= F(4, 2)) |
| 571 | self.assertFalse(2 <= F(3, 2)) |
| 572 | self.assertTrue(F(4, 2) <= 2) |
| 573 | self.assertFalse(F(5, 2) <= 2) |
Guido van Rossum | 7736b5b | 2008-01-15 21:44:53 +0000 | [diff] [blame] | 574 | |
Mark Dickinson | 85424c9 | 2009-07-18 14:41:42 +0000 | [diff] [blame] | 575 | self.assertFalse(float('inf') <= F(1, 2)) |
| 576 | self.assertTrue(float('-inf') <= F(0, 10)) |
| 577 | self.assertFalse(float('nan') <= F(-3, 7)) |
| 578 | self.assertTrue(F(1, 2) <= float('inf')) |
| 579 | self.assertFalse(F(17, 12) <= float('-inf')) |
| 580 | self.assertFalse(F(144, -89) <= float('nan')) |
| 581 | |
Guido van Rossum | 7736b5b | 2008-01-15 21:44:53 +0000 | [diff] [blame] | 582 | def testBigFloatComparisons(self): |
| 583 | # Because 10**23 can't be represented exactly as a float: |
Christian Heimes | 68f5fbe | 2008-02-14 08:27:37 +0000 | [diff] [blame] | 584 | self.assertFalse(F(10**23) == float(10**23)) |
Guido van Rossum | 7736b5b | 2008-01-15 21:44:53 +0000 | [diff] [blame] | 585 | # The first test demonstrates why these are important. |
Christian Heimes | 68f5fbe | 2008-02-14 08:27:37 +0000 | [diff] [blame] | 586 | self.assertFalse(1e23 < float(F(math.trunc(1e23) + 1))) |
| 587 | self.assertTrue(1e23 < F(math.trunc(1e23) + 1)) |
| 588 | self.assertFalse(1e23 <= F(math.trunc(1e23) - 1)) |
| 589 | self.assertTrue(1e23 > F(math.trunc(1e23) - 1)) |
| 590 | self.assertFalse(1e23 >= F(math.trunc(1e23) + 1)) |
Guido van Rossum | 7736b5b | 2008-01-15 21:44:53 +0000 | [diff] [blame] | 591 | |
| 592 | def testBigComplexComparisons(self): |
Christian Heimes | 68f5fbe | 2008-02-14 08:27:37 +0000 | [diff] [blame] | 593 | self.assertFalse(F(10**23) == complex(10**23)) |
Mark Dickinson | 327f02c | 2010-03-27 11:11:13 +0000 | [diff] [blame] | 594 | self.assertRaises(TypeError, operator.gt, F(10**23), complex(10**23)) |
| 595 | self.assertRaises(TypeError, operator.le, F(10**23), complex(10**23)) |
| 596 | |
| 597 | x = F(3, 8) |
| 598 | z = complex(0.375, 0.0) |
| 599 | w = complex(0.375, 0.2) |
| 600 | self.assertTrue(x == z) |
| 601 | self.assertFalse(x != z) |
| 602 | self.assertFalse(x == w) |
| 603 | self.assertTrue(x != w) |
| 604 | for op in operator.lt, operator.le, operator.gt, operator.ge: |
| 605 | self.assertRaises(TypeError, op, x, z) |
| 606 | self.assertRaises(TypeError, op, z, x) |
| 607 | self.assertRaises(TypeError, op, x, w) |
| 608 | self.assertRaises(TypeError, op, w, x) |
Guido van Rossum | 7736b5b | 2008-01-15 21:44:53 +0000 | [diff] [blame] | 609 | |
| 610 | def testMixedEqual(self): |
Christian Heimes | 68f5fbe | 2008-02-14 08:27:37 +0000 | [diff] [blame] | 611 | self.assertTrue(0.5 == F(1, 2)) |
| 612 | self.assertFalse(0.6 == F(1, 2)) |
| 613 | self.assertTrue(F(1, 2) == 0.5) |
| 614 | self.assertFalse(F(1, 2) == 0.4) |
| 615 | self.assertTrue(2 == F(4, 2)) |
| 616 | self.assertFalse(2 == F(3, 2)) |
| 617 | self.assertTrue(F(4, 2) == 2) |
| 618 | self.assertFalse(F(5, 2) == 2) |
Mark Dickinson | 85424c9 | 2009-07-18 14:41:42 +0000 | [diff] [blame] | 619 | self.assertFalse(F(5, 2) == float('nan')) |
| 620 | self.assertFalse(float('nan') == F(3, 7)) |
| 621 | self.assertFalse(F(5, 2) == float('inf')) |
| 622 | self.assertFalse(float('-inf') == F(2, 5)) |
Guido van Rossum | 7736b5b | 2008-01-15 21:44:53 +0000 | [diff] [blame] | 623 | |
| 624 | def testStringification(self): |
Ezio Melotti | b3aedd4 | 2010-11-20 19:04:17 +0000 | [diff] [blame] | 625 | self.assertEqual("Fraction(7, 3)", repr(F(7, 3))) |
| 626 | self.assertEqual("Fraction(6283185307, 2000000000)", |
| 627 | repr(F('3.1415926535'))) |
| 628 | self.assertEqual("Fraction(-1, 100000000000000000000)", |
| 629 | repr(F(1, -10**20))) |
| 630 | self.assertEqual("7/3", str(F(7, 3))) |
| 631 | self.assertEqual("7", str(F(7, 1))) |
Guido van Rossum | 7736b5b | 2008-01-15 21:44:53 +0000 | [diff] [blame] | 632 | |
| 633 | def testHash(self): |
Ezio Melotti | 682d374 | 2012-02-29 14:05:53 +0200 | [diff] [blame] | 634 | hmod = sys.hash_info.modulus |
| 635 | hinf = sys.hash_info.inf |
Ezio Melotti | b3aedd4 | 2010-11-20 19:04:17 +0000 | [diff] [blame] | 636 | self.assertEqual(hash(2.5), hash(F(5, 2))) |
| 637 | self.assertEqual(hash(10**50), hash(F(10**50))) |
| 638 | self.assertNotEqual(hash(float(10**23)), hash(F(10**23))) |
Ezio Melotti | 682d374 | 2012-02-29 14:05:53 +0200 | [diff] [blame] | 639 | self.assertEqual(hinf, hash(F(1, hmod))) |
Mark Dickinson | fec6620 | 2010-11-13 10:27:38 +0000 | [diff] [blame] | 640 | # Check that __hash__ produces the same value as hash(), for |
| 641 | # consistency with int and Decimal. (See issue #10356.) |
Ezio Melotti | b3aedd4 | 2010-11-20 19:04:17 +0000 | [diff] [blame] | 642 | self.assertEqual(hash(F(-1)), F(-1).__hash__()) |
Guido van Rossum | 7736b5b | 2008-01-15 21:44:53 +0000 | [diff] [blame] | 643 | |
| 644 | def testApproximatePi(self): |
| 645 | # Algorithm borrowed from |
| 646 | # http://docs.python.org/lib/decimal-recipes.html |
Christian Heimes | 68f5fbe | 2008-02-14 08:27:37 +0000 | [diff] [blame] | 647 | three = F(3) |
Guido van Rossum | 7736b5b | 2008-01-15 21:44:53 +0000 | [diff] [blame] | 648 | lasts, t, s, n, na, d, da = 0, three, 3, 1, 0, 0, 24 |
Christian Heimes | 68f5fbe | 2008-02-14 08:27:37 +0000 | [diff] [blame] | 649 | while abs(s - lasts) > F(1, 10**9): |
Guido van Rossum | 7736b5b | 2008-01-15 21:44:53 +0000 | [diff] [blame] | 650 | lasts = s |
| 651 | n, na = n+na, na+8 |
| 652 | d, da = d+da, da+32 |
| 653 | t = (t * n) / d |
| 654 | s += t |
Ezio Melotti | b3aedd4 | 2010-11-20 19:04:17 +0000 | [diff] [blame] | 655 | self.assertAlmostEqual(math.pi, s) |
Guido van Rossum | 7736b5b | 2008-01-15 21:44:53 +0000 | [diff] [blame] | 656 | |
| 657 | def testApproximateCos1(self): |
| 658 | # Algorithm borrowed from |
| 659 | # http://docs.python.org/lib/decimal-recipes.html |
Christian Heimes | 68f5fbe | 2008-02-14 08:27:37 +0000 | [diff] [blame] | 660 | x = F(1) |
| 661 | i, lasts, s, fact, num, sign = 0, 0, F(1), 1, 1, 1 |
| 662 | while abs(s - lasts) > F(1, 10**9): |
Guido van Rossum | 7736b5b | 2008-01-15 21:44:53 +0000 | [diff] [blame] | 663 | lasts = s |
| 664 | i += 2 |
| 665 | fact *= i * (i-1) |
| 666 | num *= x * x |
| 667 | sign *= -1 |
| 668 | s += num / fact * sign |
Ezio Melotti | b3aedd4 | 2010-11-20 19:04:17 +0000 | [diff] [blame] | 669 | self.assertAlmostEqual(math.cos(1), s) |
Guido van Rossum | 7736b5b | 2008-01-15 21:44:53 +0000 | [diff] [blame] | 670 | |
Christian Heimes | 969fe57 | 2008-01-25 11:23:10 +0000 | [diff] [blame] | 671 | def test_copy_deepcopy_pickle(self): |
Christian Heimes | 68f5fbe | 2008-02-14 08:27:37 +0000 | [diff] [blame] | 672 | r = F(13, 7) |
Ezio Melotti | 682d374 | 2012-02-29 14:05:53 +0200 | [diff] [blame] | 673 | dr = DummyFraction(13, 7) |
Christian Heimes | 969fe57 | 2008-01-25 11:23:10 +0000 | [diff] [blame] | 674 | self.assertEqual(r, loads(dumps(r))) |
| 675 | self.assertEqual(id(r), id(copy(r))) |
| 676 | self.assertEqual(id(r), id(deepcopy(r))) |
Ezio Melotti | 682d374 | 2012-02-29 14:05:53 +0200 | [diff] [blame] | 677 | self.assertNotEqual(id(dr), id(copy(dr))) |
| 678 | self.assertNotEqual(id(dr), id(deepcopy(dr))) |
| 679 | self.assertTypedEquals(dr, copy(dr)) |
| 680 | self.assertTypedEquals(dr, deepcopy(dr)) |
Christian Heimes | 969fe57 | 2008-01-25 11:23:10 +0000 | [diff] [blame] | 681 | |
Mark Dickinson | c28ad27 | 2009-02-12 17:58:36 +0000 | [diff] [blame] | 682 | def test_slots(self): |
| 683 | # Issue 4998 |
| 684 | r = F(13, 7) |
| 685 | self.assertRaises(AttributeError, setattr, r, 'a', 10) |
| 686 | |
Guido van Rossum | 7736b5b | 2008-01-15 21:44:53 +0000 | [diff] [blame] | 687 | if __name__ == '__main__': |
Zachary Ware | 38c707e | 2015-04-13 15:00:43 -0500 | [diff] [blame] | 688 | unittest.main() |