mirror of
https://github.com/python/cpython.git
synced 2025-07-25 20:24:11 +00:00
2ee470f7f9
svn+ssh://pythondev@svn.python.org/python/trunk ........ r64722 | georg.brandl | 2008-07-05 12:13:36 +0200 (Sat, 05 Jul 2008) | 4 lines #2663: support an *ignore* argument to shutil.copytree(). Patch by Tarek Ziade. This is a new feature, but Barry authorized adding it in the beta period. ........ r64729 | mark.dickinson | 2008-07-05 13:33:52 +0200 (Sat, 05 Jul 2008) | 5 lines Issue 3188: accept float('infinity') as well as float('inf'). This makes the float constructor behave in the same way as specified by various other language standards, including C99, IEEE 754r, and the IBM Decimal standard. ........ r64753 | gregory.p.smith | 2008-07-06 05:35:58 +0200 (Sun, 06 Jul 2008) | 4 lines - Issue #2862: Make int and float freelist management consistent with other freelists. Changes their CompactFreeList apis into ClearFreeList apis and calls them via gc.collect(). ........ r64845 | raymond.hettinger | 2008-07-10 16:03:19 +0200 (Thu, 10 Jul 2008) | 1 line Issue 3301: Bisect functions behaved badly when lo was negative. ........ r64846 | raymond.hettinger | 2008-07-10 16:34:57 +0200 (Thu, 10 Jul 2008) | 1 line Issue 3285: Fractions from_float() and from_decimal() accept Integral arguments. ........ r64849 | andrew.kuchling | 2008-07-10 16:43:31 +0200 (Thu, 10 Jul 2008) | 1 line Wording changes ........ r64871 | raymond.hettinger | 2008-07-11 14:00:21 +0200 (Fri, 11 Jul 2008) | 1 line Add cautionary note on the use of PySequence_Fast_ITEMS. ........ r64880 | amaury.forgeotdarc | 2008-07-11 23:28:25 +0200 (Fri, 11 Jul 2008) | 5 lines #3317 in zipfile module, restore the previous names of global variables: some applications relied on them. Also remove duplicated lines. ........ r64881 | amaury.forgeotdarc | 2008-07-11 23:45:06 +0200 (Fri, 11 Jul 2008) | 3 lines #3342: In tracebacks, printed source lines were not indented since r62555. #3343: Py_DisplaySourceLine should be a private function. Rename it to _Py_DisplaySourceLine. ........ r64882 | josiah.carlson | 2008-07-12 00:17:14 +0200 (Sat, 12 Jul 2008) | 2 lines Fix for the AttributeError in test_asynchat. ........ r64885 | josiah.carlson | 2008-07-12 01:26:59 +0200 (Sat, 12 Jul 2008) | 2 lines Fixed test for asyncore. ........ r64888 | matthias.klose | 2008-07-12 09:51:48 +0200 (Sat, 12 Jul 2008) | 2 lines - Fix bashisms in Tools/faqwiz/move-faqwiz.sh ........ r64897 | benjamin.peterson | 2008-07-12 22:16:19 +0200 (Sat, 12 Jul 2008) | 1 line fix various doc typos #3320 ........ r64900 | alexandre.vassalotti | 2008-07-13 00:06:53 +0200 (Sun, 13 Jul 2008) | 2 lines Fixed typo. ........ r64901 | benjamin.peterson | 2008-07-13 01:41:19 +0200 (Sun, 13 Jul 2008) | 1 line #1778443 robotparser fixes from Aristotelis Mikropoulos ........ r64915 | nick.coghlan | 2008-07-13 16:52:36 +0200 (Sun, 13 Jul 2008) | 1 line Fix issue 3221 by emitting a RuntimeWarning instead of raising SystemError when the parent module can't be found during an absolute import (likely due to non-PEP 361 aware code which sets a module level __package__ attribute) ........ r64926 | martin.v.loewis | 2008-07-13 22:31:49 +0200 (Sun, 13 Jul 2008) | 2 lines Add turtle into the module index. ........ r64927 | alexandre.vassalotti | 2008-07-13 22:42:44 +0200 (Sun, 13 Jul 2008) | 3 lines Issue #3274: Use a less common identifier for the temporary variable in Py_CLEAR(). ........ r64928 | andrew.kuchling | 2008-07-13 23:43:25 +0200 (Sun, 13 Jul 2008) | 1 line Re-word ........ r64929 | andrew.kuchling | 2008-07-13 23:43:52 +0200 (Sun, 13 Jul 2008) | 1 line Add various items; move ctypes items into a subsection of their own ........ r64938 | andrew.kuchling | 2008-07-14 02:35:32 +0200 (Mon, 14 Jul 2008) | 1 line Typo fixes ........ r64939 | andrew.kuchling | 2008-07-14 02:40:55 +0200 (Mon, 14 Jul 2008) | 1 line Typo fix ........ r64940 | andrew.kuchling | 2008-07-14 03:18:16 +0200 (Mon, 14 Jul 2008) | 1 line Typo fix ........ r64941 | andrew.kuchling | 2008-07-14 03:18:31 +0200 (Mon, 14 Jul 2008) | 1 line Expand the multiprocessing section ........ r64944 | gregory.p.smith | 2008-07-14 08:06:48 +0200 (Mon, 14 Jul 2008) | 7 lines Fix posix.fork1() / os.fork1() to only call PyOS_AfterFork() in the child process rather than both parent and child. Does anyone actually use fork1()? It appears to be a Solaris thing but if Python is built with pthreads on Solaris, fork1() and fork() should be the same. ........ r64961 | jesse.noller | 2008-07-15 15:47:33 +0200 (Tue, 15 Jul 2008) | 1 line multiprocessing/connection.py patch to remove fqdn oddness for issue 3270 ........ r64966 | nick.coghlan | 2008-07-15 17:40:22 +0200 (Tue, 15 Jul 2008) | 1 line Add missing NEWS entry for r64962 ........ r64973 | jesse.noller | 2008-07-15 20:29:18 +0200 (Tue, 15 Jul 2008) | 1 line Revert 3270 patch: self._address is in pretty widespread use, need to revisit ........
773 lines
34 KiB
Python
773 lines
34 KiB
Python
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import unittest, struct
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import os
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from test import support
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import math
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from math import isinf, isnan, copysign, ldexp
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import operator
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INF = float("inf")
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NAN = float("nan")
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class GeneralFloatCases(unittest.TestCase):
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def test_float(self):
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self.assertEqual(float(3.14), 3.14)
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self.assertEqual(float(314), 314.0)
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self.assertEqual(float(" 3.14 "), 3.14)
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self.assertRaises(ValueError, float, " 0x3.1 ")
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self.assertRaises(ValueError, float, " -0x3.p-1 ")
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self.assertRaises(ValueError, float, " +0x3.p-1 ")
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self.assertRaises(ValueError, float, "++3.14")
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self.assertRaises(ValueError, float, "+-3.14")
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self.assertRaises(ValueError, float, "-+3.14")
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self.assertRaises(ValueError, float, "--3.14")
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self.assertEqual(float(unicode(" 3.14 ")), 3.14)
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self.assertEqual(float(unicode(" \u0663.\u0661\u0664 ",'raw-unicode-escape')), 3.14)
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# Implementation limitation in PyFloat_FromString()
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self.assertRaises(ValueError, float, unicode("1"*10000))
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@support.run_with_locale('LC_NUMERIC', 'fr_FR', 'de_DE')
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def test_float_with_comma(self):
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# set locale to something that doesn't use '.' for the decimal point
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# float must not accept the locale specific decimal point but
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# it still has to accept the normal python syntac
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import locale
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if not locale.localeconv()['decimal_point'] == ',':
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return
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self.assertEqual(float(" 3.14 "), 3.14)
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self.assertEqual(float("+3.14 "), 3.14)
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self.assertEqual(float("-3.14 "), -3.14)
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self.assertEqual(float(".14 "), .14)
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self.assertEqual(float("3. "), 3.0)
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self.assertEqual(float("3.e3 "), 3000.0)
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self.assertEqual(float("3.2e3 "), 3200.0)
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self.assertEqual(float("2.5e-1 "), 0.25)
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self.assertEqual(float("5e-1"), 0.5)
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self.assertRaises(ValueError, float, " 3,14 ")
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self.assertRaises(ValueError, float, " +3,14 ")
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self.assertRaises(ValueError, float, " -3,14 ")
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self.assertRaises(ValueError, float, " 0x3.1 ")
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self.assertRaises(ValueError, float, " -0x3.p-1 ")
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self.assertRaises(ValueError, float, " +0x3.p-1 ")
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self.assertEqual(float(" 25.e-1 "), 2.5)
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self.assertEqual(fcmp(float(" .25e-1 "), .025), 0)
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def test_floatconversion(self):
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# Make sure that calls to __float__() work properly
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class Foo0:
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def __float__(self):
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return 42.
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class Foo1(object):
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def __float__(self):
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return 42.
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class Foo2(float):
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def __float__(self):
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return 42.
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class Foo3(float):
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def __new__(cls, value=0.):
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return float.__new__(cls, 2*value)
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def __float__(self):
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return self
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class Foo4(float):
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def __float__(self):
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return 42
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self.assertAlmostEqual(float(Foo0()), 42.)
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self.assertAlmostEqual(float(Foo1()), 42.)
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self.assertAlmostEqual(float(Foo2()), 42.)
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self.assertAlmostEqual(float(Foo3(21)), 42.)
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self.assertRaises(TypeError, float, Foo4(42))
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def test_floatasratio(self):
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for f, ratio in [
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(0.875, (7, 8)),
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(-0.875, (-7, 8)),
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(0.0, (0, 1)),
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(11.5, (23, 2)),
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]:
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self.assertEqual(f.as_integer_ratio(), ratio)
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for i in range(10000):
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f = random.random()
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f *= 10 ** random.randint(-100, 100)
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n, d = f.as_integer_ratio()
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self.assertEqual(float(n).__truediv__(d), f)
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R = fractions.Fraction
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self.assertEqual(R(0, 1),
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R(*float(0.0).as_integer_ratio()))
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self.assertEqual(R(5, 2),
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R(*float(2.5).as_integer_ratio()))
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self.assertEqual(R(1, 2),
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R(*float(0.5).as_integer_ratio()))
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self.assertEqual(R(4728779608739021, 2251799813685248),
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R(*float(2.1).as_integer_ratio()))
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self.assertEqual(R(-4728779608739021, 2251799813685248),
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R(*float(-2.1).as_integer_ratio()))
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self.assertEqual(R(-2100, 1),
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R(*float(-2100.0).as_integer_ratio()))
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self.assertRaises(OverflowError, float('inf').as_integer_ratio)
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self.assertRaises(OverflowError, float('-inf').as_integer_ratio)
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self.assertRaises(ValueError, float('nan').as_integer_ratio)
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class FormatFunctionsTestCase(unittest.TestCase):
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def setUp(self):
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self.save_formats = {'double':float.__getformat__('double'),
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'float':float.__getformat__('float')}
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def tearDown(self):
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float.__setformat__('double', self.save_formats['double'])
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float.__setformat__('float', self.save_formats['float'])
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def test_getformat(self):
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self.assert_(float.__getformat__('double') in
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['unknown', 'IEEE, big-endian', 'IEEE, little-endian'])
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self.assert_(float.__getformat__('float') in
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['unknown', 'IEEE, big-endian', 'IEEE, little-endian'])
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self.assertRaises(ValueError, float.__getformat__, 'chicken')
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self.assertRaises(TypeError, float.__getformat__, 1)
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def test_setformat(self):
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for t in 'double', 'float':
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float.__setformat__(t, 'unknown')
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if self.save_formats[t] == 'IEEE, big-endian':
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self.assertRaises(ValueError, float.__setformat__,
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t, 'IEEE, little-endian')
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elif self.save_formats[t] == 'IEEE, little-endian':
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self.assertRaises(ValueError, float.__setformat__,
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t, 'IEEE, big-endian')
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else:
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self.assertRaises(ValueError, float.__setformat__,
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t, 'IEEE, big-endian')
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self.assertRaises(ValueError, float.__setformat__,
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t, 'IEEE, little-endian')
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self.assertRaises(ValueError, float.__setformat__,
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t, 'chicken')
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self.assertRaises(ValueError, float.__setformat__,
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'chicken', 'unknown')
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BE_DOUBLE_INF = b'\x7f\xf0\x00\x00\x00\x00\x00\x00'
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LE_DOUBLE_INF = bytes(reversed(BE_DOUBLE_INF))
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BE_DOUBLE_NAN = b'\x7f\xf8\x00\x00\x00\x00\x00\x00'
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LE_DOUBLE_NAN = bytes(reversed(BE_DOUBLE_NAN))
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BE_FLOAT_INF = b'\x7f\x80\x00\x00'
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LE_FLOAT_INF = bytes(reversed(BE_FLOAT_INF))
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BE_FLOAT_NAN = b'\x7f\xc0\x00\x00'
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LE_FLOAT_NAN = bytes(reversed(BE_FLOAT_NAN))
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# on non-IEEE platforms, attempting to unpack a bit pattern
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# representing an infinity or a NaN should raise an exception.
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class UnknownFormatTestCase(unittest.TestCase):
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def setUp(self):
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self.save_formats = {'double':float.__getformat__('double'),
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'float':float.__getformat__('float')}
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float.__setformat__('double', 'unknown')
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float.__setformat__('float', 'unknown')
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def tearDown(self):
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float.__setformat__('double', self.save_formats['double'])
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float.__setformat__('float', self.save_formats['float'])
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def test_double_specials_dont_unpack(self):
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for fmt, data in [('>d', BE_DOUBLE_INF),
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('>d', BE_DOUBLE_NAN),
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('<d', LE_DOUBLE_INF),
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('<d', LE_DOUBLE_NAN)]:
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self.assertRaises(ValueError, struct.unpack, fmt, data)
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def test_float_specials_dont_unpack(self):
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for fmt, data in [('>f', BE_FLOAT_INF),
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('>f', BE_FLOAT_NAN),
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('<f', LE_FLOAT_INF),
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('<f', LE_FLOAT_NAN)]:
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self.assertRaises(ValueError, struct.unpack, fmt, data)
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# on an IEEE platform, all we guarantee is that bit patterns
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# representing infinities or NaNs do not raise an exception; all else
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# is accident (today).
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# let's also try to guarantee that -0.0 and 0.0 don't get confused.
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class IEEEFormatTestCase(unittest.TestCase):
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if float.__getformat__("double").startswith("IEEE"):
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def test_double_specials_do_unpack(self):
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for fmt, data in [('>d', BE_DOUBLE_INF),
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('>d', BE_DOUBLE_NAN),
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('<d', LE_DOUBLE_INF),
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('<d', LE_DOUBLE_NAN)]:
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struct.unpack(fmt, data)
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if float.__getformat__("float").startswith("IEEE"):
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def test_float_specials_do_unpack(self):
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for fmt, data in [('>f', BE_FLOAT_INF),
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('>f', BE_FLOAT_NAN),
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('<f', LE_FLOAT_INF),
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('<f', LE_FLOAT_NAN)]:
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struct.unpack(fmt, data)
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if float.__getformat__("double").startswith("IEEE"):
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def test_negative_zero(self):
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import math
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def pos_pos():
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return 0.0, math.atan2(0.0, -1)
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def pos_neg():
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return 0.0, math.atan2(-0.0, -1)
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def neg_pos():
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return -0.0, math.atan2(0.0, -1)
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def neg_neg():
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return -0.0, math.atan2(-0.0, -1)
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self.assertEquals(pos_pos(), neg_pos())
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self.assertEquals(pos_neg(), neg_neg())
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class FormatTestCase(unittest.TestCase):
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def test_format(self):
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# these should be rewritten to use both format(x, spec) and
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# x.__format__(spec)
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self.assertEqual(format(0.0, 'f'), '0.000000')
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# the default is 'g', except for empty format spec
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self.assertEqual(format(0.0, ''), '0.0')
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self.assertEqual(format(0.01, ''), '0.01')
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self.assertEqual(format(0.01, 'g'), '0.01')
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self.assertEqual(format(1.0, 'f'), '1.000000')
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self.assertEqual(format(-1.0, 'f'), '-1.000000')
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self.assertEqual(format( 1.0, ' f'), ' 1.000000')
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self.assertEqual(format(-1.0, ' f'), '-1.000000')
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self.assertEqual(format( 1.0, '+f'), '+1.000000')
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self.assertEqual(format(-1.0, '+f'), '-1.000000')
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# % formatting
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self.assertEqual(format(-1.0, '%'), '-100.000000%')
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# conversion to string should fail
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self.assertRaises(ValueError, format, 3.0, "s")
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# other format specifiers shouldn't work on floats,
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# in particular int specifiers
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for format_spec in ([chr(x) for x in range(ord('a'), ord('z')+1)] +
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[chr(x) for x in range(ord('A'), ord('Z')+1)]):
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if not format_spec in 'eEfFgGn%':
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self.assertRaises(ValueError, format, 0.0, format_spec)
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self.assertRaises(ValueError, format, 1.0, format_spec)
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self.assertRaises(ValueError, format, -1.0, format_spec)
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self.assertRaises(ValueError, format, 1e100, format_spec)
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self.assertRaises(ValueError, format, -1e100, format_spec)
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self.assertRaises(ValueError, format, 1e-100, format_spec)
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self.assertRaises(ValueError, format, -1e-100, format_spec)
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class ReprTestCase(unittest.TestCase):
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def test_repr(self):
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floats_file = open(os.path.join(os.path.split(__file__)[0],
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'floating_points.txt'))
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for line in floats_file:
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line = line.strip()
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if not line or line.startswith('#'):
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continue
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v = eval(line)
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self.assertEqual(v, eval(repr(v)))
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floats_file.close()
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# Beginning with Python 2.6 float has cross platform compatible
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# ways to create and represent inf and nan
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class InfNanTest(unittest.TestCase):
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def test_inf_from_str(self):
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self.assert_(isinf(float("inf")))
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self.assert_(isinf(float("+inf")))
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self.assert_(isinf(float("-inf")))
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self.assert_(isinf(float("infinity")))
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self.assert_(isinf(float("+infinity")))
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self.assert_(isinf(float("-infinity")))
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self.assertEqual(repr(float("inf")), "inf")
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self.assertEqual(repr(float("+inf")), "inf")
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self.assertEqual(repr(float("-inf")), "-inf")
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self.assertEqual(repr(float("infinity")), "inf")
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self.assertEqual(repr(float("+infinity")), "inf")
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self.assertEqual(repr(float("-infinity")), "-inf")
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self.assertEqual(repr(float("INF")), "inf")
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self.assertEqual(repr(float("+Inf")), "inf")
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self.assertEqual(repr(float("-iNF")), "-inf")
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self.assertEqual(repr(float("Infinity")), "inf")
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self.assertEqual(repr(float("+iNfInItY")), "inf")
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self.assertEqual(repr(float("-INFINITY")), "-inf")
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self.assertEqual(str(float("inf")), "inf")
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self.assertEqual(str(float("+inf")), "inf")
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self.assertEqual(str(float("-inf")), "-inf")
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self.assertEqual(str(float("infinity")), "inf")
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self.assertEqual(str(float("+infinity")), "inf")
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self.assertEqual(str(float("-infinity")), "-inf")
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self.assertRaises(ValueError, float, "info")
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self.assertRaises(ValueError, float, "+info")
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self.assertRaises(ValueError, float, "-info")
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self.assertRaises(ValueError, float, "in")
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self.assertRaises(ValueError, float, "+in")
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self.assertRaises(ValueError, float, "-in")
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self.assertRaises(ValueError, float, "infinit")
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self.assertRaises(ValueError, float, "+Infin")
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self.assertRaises(ValueError, float, "-INFI")
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self.assertRaises(ValueError, float, "infinitys")
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def test_inf_as_str(self):
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self.assertEqual(repr(1e300 * 1e300), "inf")
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self.assertEqual(repr(-1e300 * 1e300), "-inf")
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self.assertEqual(str(1e300 * 1e300), "inf")
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self.assertEqual(str(-1e300 * 1e300), "-inf")
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def test_nan_from_str(self):
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self.assert_(isnan(float("nan")))
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self.assert_(isnan(float("+nan")))
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self.assert_(isnan(float("-nan")))
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self.assertEqual(repr(float("nan")), "nan")
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self.assertEqual(repr(float("+nan")), "nan")
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self.assertEqual(repr(float("-nan")), "nan")
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self.assertEqual(repr(float("NAN")), "nan")
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self.assertEqual(repr(float("+NAn")), "nan")
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self.assertEqual(repr(float("-NaN")), "nan")
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self.assertEqual(str(float("nan")), "nan")
|
|
self.assertEqual(str(float("+nan")), "nan")
|
|
self.assertEqual(str(float("-nan")), "nan")
|
|
|
|
self.assertRaises(ValueError, float, "nana")
|
|
self.assertRaises(ValueError, float, "+nana")
|
|
self.assertRaises(ValueError, float, "-nana")
|
|
self.assertRaises(ValueError, float, "na")
|
|
self.assertRaises(ValueError, float, "+na")
|
|
self.assertRaises(ValueError, float, "-na")
|
|
|
|
def test_nan_as_str(self):
|
|
self.assertEqual(repr(1e300 * 1e300 * 0), "nan")
|
|
self.assertEqual(repr(-1e300 * 1e300 * 0), "nan")
|
|
|
|
self.assertEqual(str(1e300 * 1e300 * 0), "nan")
|
|
self.assertEqual(str(-1e300 * 1e300 * 0), "nan")
|
|
|
|
def notest_float_nan(self):
|
|
self.assert_(NAN.is_nan())
|
|
self.failIf(INF.is_nan())
|
|
self.failIf((0.).is_nan())
|
|
|
|
def notest_float_inf(self):
|
|
self.assert_(INF.is_inf())
|
|
self.failIf(NAN.is_inf())
|
|
self.failIf((0.).is_inf())
|
|
|
|
fromHex = float.fromhex
|
|
toHex = float.hex
|
|
class HexFloatTestCase(unittest.TestCase):
|
|
MAX = fromHex('0x.fffffffffffff8p+1024') # max normal
|
|
MIN = fromHex('0x1p-1022') # min normal
|
|
TINY = fromHex('0x0.0000000000001p-1022') # min subnormal
|
|
EPS = fromHex('0x0.0000000000001p0') # diff between 1.0 and next float up
|
|
|
|
def identical(self, x, y):
|
|
# check that floats x and y are identical, or that both
|
|
# are NaNs
|
|
if isnan(x) or isnan(y):
|
|
if isnan(x) == isnan(y):
|
|
return
|
|
elif x == y and (x != 0.0 or copysign(1.0, x) == copysign(1.0, y)):
|
|
return
|
|
self.fail('%r not identical to %r' % (x, y))
|
|
|
|
def test_ends(self):
|
|
self.identical(self.MIN, ldexp(1.0, -1022))
|
|
self.identical(self.TINY, ldexp(1.0, -1074))
|
|
self.identical(self.EPS, ldexp(1.0, -52))
|
|
self.identical(self.MAX, 2.*(ldexp(1.0, 1023) - ldexp(1.0, 970)))
|
|
|
|
def test_invalid_inputs(self):
|
|
invalid_inputs = [
|
|
'infi', # misspelt infinities and nans
|
|
'-Infinit',
|
|
'++inf',
|
|
'-+Inf',
|
|
'--nan',
|
|
'+-NaN',
|
|
'snan',
|
|
'NaNs',
|
|
'nna',
|
|
'0xnan',
|
|
'',
|
|
' ',
|
|
'x1.0p0',
|
|
'0xX1.0p0',
|
|
'+ 0x1.0p0', # internal whitespace
|
|
'- 0x1.0p0',
|
|
'0 x1.0p0',
|
|
'0x 1.0p0',
|
|
'0x1 2.0p0',
|
|
'+0x1 .0p0',
|
|
'0x1. 0p0',
|
|
'-0x1.0 1p0',
|
|
'-0x1.0 p0',
|
|
'+0x1.0p +0',
|
|
'0x1.0p -0',
|
|
'0x1.0p 0',
|
|
'+0x1.0p+ 0',
|
|
'-0x1.0p- 0',
|
|
'++0x1.0p-0', # double signs
|
|
'--0x1.0p0',
|
|
'+-0x1.0p+0',
|
|
'-+0x1.0p0',
|
|
'0x1.0p++0',
|
|
'+0x1.0p+-0',
|
|
'-0x1.0p-+0',
|
|
'0x1.0p--0',
|
|
'0x1.0.p0',
|
|
'0x.p0', # no hex digits before or after point
|
|
'0x1,p0', # wrong decimal point character
|
|
'0x1pa',
|
|
'0x1p\uff10', # fullwidth Unicode digits
|
|
'\uff10x1p0',
|
|
'0x\uff11p0',
|
|
'0x1.\uff10p0',
|
|
'0x1p0 \n 0x2p0',
|
|
'0x1p0\0 0x1p0', # embedded null byte is not end of string
|
|
]
|
|
for x in invalid_inputs:
|
|
self.assertRaises(ValueError, fromHex, x)
|
|
|
|
|
|
def test_from_hex(self):
|
|
MIN = self.MIN;
|
|
MAX = self.MAX;
|
|
TINY = self.TINY;
|
|
EPS = self.EPS;
|
|
|
|
# two spellings of infinity, with optional signs; case-insensitive
|
|
self.identical(fromHex('inf'), INF)
|
|
self.identical(fromHex('+Inf'), INF)
|
|
self.identical(fromHex('-INF'), -INF)
|
|
self.identical(fromHex('iNf'), INF)
|
|
self.identical(fromHex('Infinity'), INF)
|
|
self.identical(fromHex('+INFINITY'), INF)
|
|
self.identical(fromHex('-infinity'), -INF)
|
|
self.identical(fromHex('-iNFiNitY'), -INF)
|
|
|
|
# nans with optional sign; case insensitive
|
|
self.identical(fromHex('nan'), NAN)
|
|
self.identical(fromHex('+NaN'), NAN)
|
|
self.identical(fromHex('-NaN'), NAN)
|
|
self.identical(fromHex('-nAN'), NAN)
|
|
|
|
# variations in input format
|
|
self.identical(fromHex('1'), 1.0)
|
|
self.identical(fromHex('+1'), 1.0)
|
|
self.identical(fromHex('1.'), 1.0)
|
|
self.identical(fromHex('1.0'), 1.0)
|
|
self.identical(fromHex('1.0p0'), 1.0)
|
|
self.identical(fromHex('01'), 1.0)
|
|
self.identical(fromHex('01.'), 1.0)
|
|
self.identical(fromHex('0x1'), 1.0)
|
|
self.identical(fromHex('0x1.'), 1.0)
|
|
self.identical(fromHex('0x1.0'), 1.0)
|
|
self.identical(fromHex('+0x1.0'), 1.0)
|
|
self.identical(fromHex('0x1p0'), 1.0)
|
|
self.identical(fromHex('0X1p0'), 1.0)
|
|
self.identical(fromHex('0X1P0'), 1.0)
|
|
self.identical(fromHex('0x1P0'), 1.0)
|
|
self.identical(fromHex('0x1.p0'), 1.0)
|
|
self.identical(fromHex('0x1.0p0'), 1.0)
|
|
self.identical(fromHex('0x.1p4'), 1.0)
|
|
self.identical(fromHex('0x.1p04'), 1.0)
|
|
self.identical(fromHex('0x.1p004'), 1.0)
|
|
self.identical(fromHex('0x1p+0'), 1.0)
|
|
self.identical(fromHex('0x1P-0'), 1.0)
|
|
self.identical(fromHex('+0x1p0'), 1.0)
|
|
self.identical(fromHex('0x01p0'), 1.0)
|
|
self.identical(fromHex('0x1p00'), 1.0)
|
|
self.identical(fromHex(' 0x1p0 '), 1.0)
|
|
self.identical(fromHex('\n 0x1p0'), 1.0)
|
|
self.identical(fromHex('0x1p0 \t'), 1.0)
|
|
self.identical(fromHex('0xap0'), 10.0)
|
|
self.identical(fromHex('0xAp0'), 10.0)
|
|
self.identical(fromHex('0xaP0'), 10.0)
|
|
self.identical(fromHex('0xAP0'), 10.0)
|
|
self.identical(fromHex('0xbep0'), 190.0)
|
|
self.identical(fromHex('0xBep0'), 190.0)
|
|
self.identical(fromHex('0xbEp0'), 190.0)
|
|
self.identical(fromHex('0XBE0P-4'), 190.0)
|
|
self.identical(fromHex('0xBEp0'), 190.0)
|
|
self.identical(fromHex('0xB.Ep4'), 190.0)
|
|
self.identical(fromHex('0x.BEp8'), 190.0)
|
|
self.identical(fromHex('0x.0BEp12'), 190.0)
|
|
|
|
# moving the point around
|
|
pi = fromHex('0x1.921fb54442d18p1')
|
|
self.identical(fromHex('0x.006487ed5110b46p11'), pi)
|
|
self.identical(fromHex('0x.00c90fdaa22168cp10'), pi)
|
|
self.identical(fromHex('0x.01921fb54442d18p9'), pi)
|
|
self.identical(fromHex('0x.03243f6a8885a3p8'), pi)
|
|
self.identical(fromHex('0x.06487ed5110b46p7'), pi)
|
|
self.identical(fromHex('0x.0c90fdaa22168cp6'), pi)
|
|
self.identical(fromHex('0x.1921fb54442d18p5'), pi)
|
|
self.identical(fromHex('0x.3243f6a8885a3p4'), pi)
|
|
self.identical(fromHex('0x.6487ed5110b46p3'), pi)
|
|
self.identical(fromHex('0x.c90fdaa22168cp2'), pi)
|
|
self.identical(fromHex('0x1.921fb54442d18p1'), pi)
|
|
self.identical(fromHex('0x3.243f6a8885a3p0'), pi)
|
|
self.identical(fromHex('0x6.487ed5110b46p-1'), pi)
|
|
self.identical(fromHex('0xc.90fdaa22168cp-2'), pi)
|
|
self.identical(fromHex('0x19.21fb54442d18p-3'), pi)
|
|
self.identical(fromHex('0x32.43f6a8885a3p-4'), pi)
|
|
self.identical(fromHex('0x64.87ed5110b46p-5'), pi)
|
|
self.identical(fromHex('0xc9.0fdaa22168cp-6'), pi)
|
|
self.identical(fromHex('0x192.1fb54442d18p-7'), pi)
|
|
self.identical(fromHex('0x324.3f6a8885a3p-8'), pi)
|
|
self.identical(fromHex('0x648.7ed5110b46p-9'), pi)
|
|
self.identical(fromHex('0xc90.fdaa22168cp-10'), pi)
|
|
self.identical(fromHex('0x1921.fb54442d18p-11'), pi)
|
|
# ...
|
|
self.identical(fromHex('0x1921fb54442d1.8p-47'), pi)
|
|
self.identical(fromHex('0x3243f6a8885a3p-48'), pi)
|
|
self.identical(fromHex('0x6487ed5110b46p-49'), pi)
|
|
self.identical(fromHex('0xc90fdaa22168cp-50'), pi)
|
|
self.identical(fromHex('0x1921fb54442d18p-51'), pi)
|
|
self.identical(fromHex('0x3243f6a8885a30p-52'), pi)
|
|
self.identical(fromHex('0x6487ed5110b460p-53'), pi)
|
|
self.identical(fromHex('0xc90fdaa22168c0p-54'), pi)
|
|
self.identical(fromHex('0x1921fb54442d180p-55'), pi)
|
|
|
|
|
|
# results that should overflow...
|
|
self.assertRaises(OverflowError, fromHex, '-0x1p1024')
|
|
self.assertRaises(OverflowError, fromHex, '0x1p+1025')
|
|
self.assertRaises(OverflowError, fromHex, '+0X1p1030')
|
|
self.assertRaises(OverflowError, fromHex, '-0x1p+1100')
|
|
self.assertRaises(OverflowError, fromHex, '0X1p123456789123456789')
|
|
self.assertRaises(OverflowError, fromHex, '+0X.8p+1025')
|
|
self.assertRaises(OverflowError, fromHex, '+0x0.8p1025')
|
|
self.assertRaises(OverflowError, fromHex, '-0x0.4p1026')
|
|
self.assertRaises(OverflowError, fromHex, '0X2p+1023')
|
|
self.assertRaises(OverflowError, fromHex, '0x2.p1023')
|
|
self.assertRaises(OverflowError, fromHex, '-0x2.0p+1023')
|
|
self.assertRaises(OverflowError, fromHex, '+0X4p+1022')
|
|
self.assertRaises(OverflowError, fromHex, '0x1.ffffffffffffffp+1023')
|
|
self.assertRaises(OverflowError, fromHex, '-0X1.fffffffffffff9p1023')
|
|
self.assertRaises(OverflowError, fromHex, '0X1.fffffffffffff8p1023')
|
|
self.assertRaises(OverflowError, fromHex, '+0x3.fffffffffffffp1022')
|
|
self.assertRaises(OverflowError, fromHex, '0x3fffffffffffffp+970')
|
|
self.assertRaises(OverflowError, fromHex, '0x10000000000000000p960')
|
|
self.assertRaises(OverflowError, fromHex, '-0Xffffffffffffffffp960')
|
|
|
|
# ...and those that round to +-max float
|
|
self.identical(fromHex('+0x1.fffffffffffffp+1023'), MAX)
|
|
self.identical(fromHex('-0X1.fffffffffffff7p1023'), -MAX)
|
|
self.identical(fromHex('0X1.fffffffffffff7fffffffffffffp1023'), MAX)
|
|
|
|
# zeros
|
|
self.identical(fromHex('0x0p0'), 0.0)
|
|
self.identical(fromHex('0x0p1000'), 0.0)
|
|
self.identical(fromHex('-0x0p1023'), -0.0)
|
|
self.identical(fromHex('0X0p1024'), 0.0)
|
|
self.identical(fromHex('-0x0p1025'), -0.0)
|
|
self.identical(fromHex('0X0p2000'), 0.0)
|
|
self.identical(fromHex('0x0p123456789123456789'), 0.0)
|
|
self.identical(fromHex('-0X0p-0'), -0.0)
|
|
self.identical(fromHex('-0X0p-1000'), -0.0)
|
|
self.identical(fromHex('0x0p-1023'), 0.0)
|
|
self.identical(fromHex('-0X0p-1024'), -0.0)
|
|
self.identical(fromHex('-0x0p-1025'), -0.0)
|
|
self.identical(fromHex('-0x0p-1072'), -0.0)
|
|
self.identical(fromHex('0X0p-1073'), 0.0)
|
|
self.identical(fromHex('-0x0p-1074'), -0.0)
|
|
self.identical(fromHex('0x0p-1075'), 0.0)
|
|
self.identical(fromHex('0X0p-1076'), 0.0)
|
|
self.identical(fromHex('-0X0p-2000'), -0.0)
|
|
self.identical(fromHex('-0x0p-123456789123456789'), -0.0)
|
|
|
|
# values that should underflow to 0
|
|
self.identical(fromHex('0X1p-1075'), 0.0)
|
|
self.identical(fromHex('-0X1p-1075'), -0.0)
|
|
self.identical(fromHex('-0x1p-123456789123456789'), -0.0)
|
|
self.identical(fromHex('0x1.00000000000000001p-1075'), TINY)
|
|
self.identical(fromHex('-0x1.1p-1075'), -TINY)
|
|
self.identical(fromHex('0x1.fffffffffffffffffp-1075'), TINY)
|
|
|
|
# check round-half-even is working correctly near 0 ...
|
|
self.identical(fromHex('0x1p-1076'), 0.0)
|
|
self.identical(fromHex('0X2p-1076'), 0.0)
|
|
self.identical(fromHex('0X3p-1076'), TINY)
|
|
self.identical(fromHex('0x4p-1076'), TINY)
|
|
self.identical(fromHex('0X5p-1076'), TINY)
|
|
self.identical(fromHex('0X6p-1076'), 2*TINY)
|
|
self.identical(fromHex('0x7p-1076'), 2*TINY)
|
|
self.identical(fromHex('0X8p-1076'), 2*TINY)
|
|
self.identical(fromHex('0X9p-1076'), 2*TINY)
|
|
self.identical(fromHex('0xap-1076'), 2*TINY)
|
|
self.identical(fromHex('0Xbp-1076'), 3*TINY)
|
|
self.identical(fromHex('0xcp-1076'), 3*TINY)
|
|
self.identical(fromHex('0Xdp-1076'), 3*TINY)
|
|
self.identical(fromHex('0Xep-1076'), 4*TINY)
|
|
self.identical(fromHex('0xfp-1076'), 4*TINY)
|
|
self.identical(fromHex('0x10p-1076'), 4*TINY)
|
|
self.identical(fromHex('-0x1p-1076'), -0.0)
|
|
self.identical(fromHex('-0X2p-1076'), -0.0)
|
|
self.identical(fromHex('-0x3p-1076'), -TINY)
|
|
self.identical(fromHex('-0X4p-1076'), -TINY)
|
|
self.identical(fromHex('-0x5p-1076'), -TINY)
|
|
self.identical(fromHex('-0x6p-1076'), -2*TINY)
|
|
self.identical(fromHex('-0X7p-1076'), -2*TINY)
|
|
self.identical(fromHex('-0X8p-1076'), -2*TINY)
|
|
self.identical(fromHex('-0X9p-1076'), -2*TINY)
|
|
self.identical(fromHex('-0Xap-1076'), -2*TINY)
|
|
self.identical(fromHex('-0xbp-1076'), -3*TINY)
|
|
self.identical(fromHex('-0xcp-1076'), -3*TINY)
|
|
self.identical(fromHex('-0Xdp-1076'), -3*TINY)
|
|
self.identical(fromHex('-0xep-1076'), -4*TINY)
|
|
self.identical(fromHex('-0Xfp-1076'), -4*TINY)
|
|
self.identical(fromHex('-0X10p-1076'), -4*TINY)
|
|
|
|
# ... and near MIN ...
|
|
self.identical(fromHex('0x0.ffffffffffffd6p-1022'), MIN-3*TINY)
|
|
self.identical(fromHex('0x0.ffffffffffffd8p-1022'), MIN-2*TINY)
|
|
self.identical(fromHex('0x0.ffffffffffffdap-1022'), MIN-2*TINY)
|
|
self.identical(fromHex('0x0.ffffffffffffdcp-1022'), MIN-2*TINY)
|
|
self.identical(fromHex('0x0.ffffffffffffdep-1022'), MIN-2*TINY)
|
|
self.identical(fromHex('0x0.ffffffffffffe0p-1022'), MIN-2*TINY)
|
|
self.identical(fromHex('0x0.ffffffffffffe2p-1022'), MIN-2*TINY)
|
|
self.identical(fromHex('0x0.ffffffffffffe4p-1022'), MIN-2*TINY)
|
|
self.identical(fromHex('0x0.ffffffffffffe6p-1022'), MIN-2*TINY)
|
|
self.identical(fromHex('0x0.ffffffffffffe8p-1022'), MIN-2*TINY)
|
|
self.identical(fromHex('0x0.ffffffffffffeap-1022'), MIN-TINY)
|
|
self.identical(fromHex('0x0.ffffffffffffecp-1022'), MIN-TINY)
|
|
self.identical(fromHex('0x0.ffffffffffffeep-1022'), MIN-TINY)
|
|
self.identical(fromHex('0x0.fffffffffffff0p-1022'), MIN-TINY)
|
|
self.identical(fromHex('0x0.fffffffffffff2p-1022'), MIN-TINY)
|
|
self.identical(fromHex('0x0.fffffffffffff4p-1022'), MIN-TINY)
|
|
self.identical(fromHex('0x0.fffffffffffff6p-1022'), MIN-TINY)
|
|
self.identical(fromHex('0x0.fffffffffffff8p-1022'), MIN)
|
|
self.identical(fromHex('0x0.fffffffffffffap-1022'), MIN)
|
|
self.identical(fromHex('0x0.fffffffffffffcp-1022'), MIN)
|
|
self.identical(fromHex('0x0.fffffffffffffep-1022'), MIN)
|
|
self.identical(fromHex('0x1.00000000000000p-1022'), MIN)
|
|
self.identical(fromHex('0x1.00000000000002p-1022'), MIN)
|
|
self.identical(fromHex('0x1.00000000000004p-1022'), MIN)
|
|
self.identical(fromHex('0x1.00000000000006p-1022'), MIN)
|
|
self.identical(fromHex('0x1.00000000000008p-1022'), MIN)
|
|
self.identical(fromHex('0x1.0000000000000ap-1022'), MIN+TINY)
|
|
self.identical(fromHex('0x1.0000000000000cp-1022'), MIN+TINY)
|
|
self.identical(fromHex('0x1.0000000000000ep-1022'), MIN+TINY)
|
|
self.identical(fromHex('0x1.00000000000010p-1022'), MIN+TINY)
|
|
self.identical(fromHex('0x1.00000000000012p-1022'), MIN+TINY)
|
|
self.identical(fromHex('0x1.00000000000014p-1022'), MIN+TINY)
|
|
self.identical(fromHex('0x1.00000000000016p-1022'), MIN+TINY)
|
|
self.identical(fromHex('0x1.00000000000018p-1022'), MIN+2*TINY)
|
|
|
|
# ... and near 1.0.
|
|
self.identical(fromHex('0x0.fffffffffffff0p0'), 1.0-EPS)
|
|
self.identical(fromHex('0x0.fffffffffffff1p0'), 1.0-EPS)
|
|
self.identical(fromHex('0X0.fffffffffffff2p0'), 1.0-EPS)
|
|
self.identical(fromHex('0x0.fffffffffffff3p0'), 1.0-EPS)
|
|
self.identical(fromHex('0X0.fffffffffffff4p0'), 1.0-EPS)
|
|
self.identical(fromHex('0X0.fffffffffffff5p0'), 1.0-EPS/2)
|
|
self.identical(fromHex('0X0.fffffffffffff6p0'), 1.0-EPS/2)
|
|
self.identical(fromHex('0x0.fffffffffffff7p0'), 1.0-EPS/2)
|
|
self.identical(fromHex('0x0.fffffffffffff8p0'), 1.0-EPS/2)
|
|
self.identical(fromHex('0X0.fffffffffffff9p0'), 1.0-EPS/2)
|
|
self.identical(fromHex('0X0.fffffffffffffap0'), 1.0-EPS/2)
|
|
self.identical(fromHex('0x0.fffffffffffffbp0'), 1.0-EPS/2)
|
|
self.identical(fromHex('0X0.fffffffffffffcp0'), 1.0)
|
|
self.identical(fromHex('0x0.fffffffffffffdp0'), 1.0)
|
|
self.identical(fromHex('0X0.fffffffffffffep0'), 1.0)
|
|
self.identical(fromHex('0x0.ffffffffffffffp0'), 1.0)
|
|
self.identical(fromHex('0X1.00000000000000p0'), 1.0)
|
|
self.identical(fromHex('0X1.00000000000001p0'), 1.0)
|
|
self.identical(fromHex('0x1.00000000000002p0'), 1.0)
|
|
self.identical(fromHex('0X1.00000000000003p0'), 1.0)
|
|
self.identical(fromHex('0x1.00000000000004p0'), 1.0)
|
|
self.identical(fromHex('0X1.00000000000005p0'), 1.0)
|
|
self.identical(fromHex('0X1.00000000000006p0'), 1.0)
|
|
self.identical(fromHex('0X1.00000000000007p0'), 1.0)
|
|
self.identical(fromHex('0x1.00000000000007ffffffffffffffffffffp0'),
|
|
1.0)
|
|
self.identical(fromHex('0x1.00000000000008p0'), 1.0)
|
|
self.identical(fromHex('0x1.00000000000008000000000000000001p0'),
|
|
1+EPS)
|
|
self.identical(fromHex('0X1.00000000000009p0'), 1.0+EPS)
|
|
self.identical(fromHex('0x1.0000000000000ap0'), 1.0+EPS)
|
|
self.identical(fromHex('0x1.0000000000000bp0'), 1.0+EPS)
|
|
self.identical(fromHex('0X1.0000000000000cp0'), 1.0+EPS)
|
|
self.identical(fromHex('0x1.0000000000000dp0'), 1.0+EPS)
|
|
self.identical(fromHex('0x1.0000000000000ep0'), 1.0+EPS)
|
|
self.identical(fromHex('0X1.0000000000000fp0'), 1.0+EPS)
|
|
self.identical(fromHex('0x1.00000000000010p0'), 1.0+EPS)
|
|
self.identical(fromHex('0X1.00000000000011p0'), 1.0+EPS)
|
|
self.identical(fromHex('0x1.00000000000012p0'), 1.0+EPS)
|
|
self.identical(fromHex('0X1.00000000000013p0'), 1.0+EPS)
|
|
self.identical(fromHex('0X1.00000000000014p0'), 1.0+EPS)
|
|
self.identical(fromHex('0x1.00000000000015p0'), 1.0+EPS)
|
|
self.identical(fromHex('0x1.00000000000016p0'), 1.0+EPS)
|
|
self.identical(fromHex('0X1.00000000000017p0'), 1.0+EPS)
|
|
self.identical(fromHex('0x1.00000000000017ffffffffffffffffffffp0'),
|
|
1.0+EPS)
|
|
self.identical(fromHex('0x1.00000000000018p0'), 1.0+2*EPS)
|
|
self.identical(fromHex('0X1.00000000000018000000000000000001p0'),
|
|
1.0+2*EPS)
|
|
self.identical(fromHex('0x1.00000000000019p0'), 1.0+2*EPS)
|
|
self.identical(fromHex('0X1.0000000000001ap0'), 1.0+2*EPS)
|
|
self.identical(fromHex('0X1.0000000000001bp0'), 1.0+2*EPS)
|
|
self.identical(fromHex('0x1.0000000000001cp0'), 1.0+2*EPS)
|
|
self.identical(fromHex('0x1.0000000000001dp0'), 1.0+2*EPS)
|
|
self.identical(fromHex('0x1.0000000000001ep0'), 1.0+2*EPS)
|
|
self.identical(fromHex('0X1.0000000000001fp0'), 1.0+2*EPS)
|
|
self.identical(fromHex('0x1.00000000000020p0'), 1.0+2*EPS)
|
|
|
|
def test_roundtrip(self):
|
|
def roundtrip(x):
|
|
return fromHex(toHex(x))
|
|
|
|
for x in [NAN, INF, self.MAX, self.MIN, self.MIN-self.TINY, self.TINY, 0.0]:
|
|
self.identical(x, roundtrip(x))
|
|
self.identical(-x, roundtrip(-x))
|
|
|
|
# fromHex(toHex(x)) should exactly recover x, for any non-NaN float x.
|
|
import random
|
|
for i in range(10000):
|
|
e = random.randrange(-1200, 1200)
|
|
m = random.random()
|
|
s = random.choice([1.0, -1.0])
|
|
try:
|
|
x = s*ldexp(m, e)
|
|
except OverflowError:
|
|
pass
|
|
else:
|
|
self.identical(x, fromHex(toHex(x)))
|
|
|
|
|
|
def test_main():
|
|
support.run_unittest(
|
|
FormatFunctionsTestCase,
|
|
UnknownFormatTestCase,
|
|
IEEEFormatTestCase,
|
|
FormatTestCase,
|
|
ReprTestCase,
|
|
InfNanTest,
|
|
HexFloatTestCase,
|
|
)
|
|
|
|
if __name__ == '__main__':
|
|
test_main()
|