cpython-lru_cache-weakref: Lib/test/test

annotate Lib/test/test_cmath.py @ 87690:66c1c9f32567 default tip

Add use_weakref option to functools.lru_cache The use_weakref option makes lru_cache create weak references to the function arguments when creating the cache key, which prevents them from staying in the memory forever even after all other references to them are gone. This is a proof of concept for http://bugs.python.org/issue19859

author	Radomir Dopieralski <devel@sheep.art.pl>
date	Tue, 03 Dec 2013 16:02:48 +0100
parents	4d62a62ba44d
children

rev	line source
66709 f2a4ade36a1e Issue #10624: Use support.requires_IEEE_754 in all appropriate tests. Eric Smith <eric@trueblade.com> parents: 66268 diff changeset	1 from test.support import run_unittest, requires_IEEE_754
f2a4ade36a1e Issue #10624: Use support.requires_IEEE_754 in all appropriate tests. Eric Smith <eric@trueblade.com> parents: 66268 diff changeset	2 from test.test_math import parse_testfile, test_file
41554 06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	3 import unittest
32350 11c31a98dfd6 Patch #826074: cmath.log optional base argument, fixes #823209 Raymond Hettinger <python@rcn.com> parents: 24364 diff changeset	4 import cmath, math
46477 b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	5 from cmath import phase, polar, rect, pi
66064 fdcaac0e010a Issue #10337: skip tests of tanh() sign in test_math and test_cmath if tanh() Victor Stinner <victor.stinner@haypocalc.com> parents: 62972 diff changeset	6 import sysconfig
46477 b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	7
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	8 INF = float('inf')
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	9 NAN = float('nan')
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	10
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	11 complex_zeros = [complex(x, y) for x in [0.0, -0.0] for y in [0.0, -0.0]]
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	12 complex_infinities = [complex(x, y) for x, y in [
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	13 (INF, 0.0), # 1st quadrant
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	14 (INF, 2.3),
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	15 (INF, INF),
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	16 (2.3, INF),
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	17 (0.0, INF),
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	18 (-0.0, INF), # 2nd quadrant
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	19 (-2.3, INF),
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	20 (-INF, INF),
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	21 (-INF, 2.3),
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	22 (-INF, 0.0),
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	23 (-INF, -0.0), # 3rd quadrant
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	24 (-INF, -2.3),
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	25 (-INF, -INF),
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	26 (-2.3, -INF),
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	27 (-0.0, -INF),
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	28 (0.0, -INF), # 4th quadrant
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	29 (2.3, -INF),
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	30 (INF, -INF),
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	31 (INF, -2.3),
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	32 (INF, -0.0)
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	33 ]]
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	34 complex_nans = [complex(x, y) for x, y in [
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	35 (NAN, -INF),
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	36 (NAN, -2.3),
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	37 (NAN, -0.0),
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	38 (NAN, 0.0),
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	39 (NAN, 2.3),
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	40 (NAN, INF),
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	41 (-INF, NAN),
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	42 (-2.3, NAN),
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	43 (-0.0, NAN),
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	44 (0.0, NAN),
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	45 (2.3, NAN),
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	46 (INF, NAN)
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	47 ]]
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	48
41554 06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	49 class CMathTests(unittest.TestCase):
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	50 # list of all functions in cmath
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	51 test_functions = [getattr(cmath, fname) for fname in [
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	52 'acos', 'acosh', 'asin', 'asinh', 'atan', 'atanh',
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	53 'cos', 'cosh', 'exp', 'log', 'log10', 'sin', 'sinh',
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	54 'sqrt', 'tan', 'tanh']]
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	55 # test first and second arguments independently for 2-argument log
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	56 test_functions.append(lambda x : cmath.log(x, 1729. + 0j))
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	57 test_functions.append(lambda x : cmath.log(14.-27j, x))
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	58
46477 b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	59 def setUp(self):
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	60 self.test_values = open(test_file)
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	61
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	62 def tearDown(self):
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	63 self.test_values.close()
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	64
66066 e8f1ef5fd423 Update assertComplexIdentical to handle nans correctly. Mark Dickinson <dickinsm@gmail.com> parents: 66064 diff changeset	65 def assertFloatIdentical(self, x, y):
e8f1ef5fd423 Update assertComplexIdentical to handle nans correctly. Mark Dickinson <dickinsm@gmail.com> parents: 66064 diff changeset	66 """Fail unless floats x and y are identical, in the sense that:
e8f1ef5fd423 Update assertComplexIdentical to handle nans correctly. Mark Dickinson <dickinsm@gmail.com> parents: 66064 diff changeset	67 (1) both x and y are nans, or
e8f1ef5fd423 Update assertComplexIdentical to handle nans correctly. Mark Dickinson <dickinsm@gmail.com> parents: 66064 diff changeset	68 (2) both x and y are infinities, with the same sign, or
e8f1ef5fd423 Update assertComplexIdentical to handle nans correctly. Mark Dickinson <dickinsm@gmail.com> parents: 66064 diff changeset	69 (3) both x and y are zeros, with the same sign, or
e8f1ef5fd423 Update assertComplexIdentical to handle nans correctly. Mark Dickinson <dickinsm@gmail.com> parents: 66064 diff changeset	70 (4) x and y are both finite and nonzero, and x == y
e8f1ef5fd423 Update assertComplexIdentical to handle nans correctly. Mark Dickinson <dickinsm@gmail.com> parents: 66064 diff changeset	71
e8f1ef5fd423 Update assertComplexIdentical to handle nans correctly. Mark Dickinson <dickinsm@gmail.com> parents: 66064 diff changeset	72 """
e8f1ef5fd423 Update assertComplexIdentical to handle nans correctly. Mark Dickinson <dickinsm@gmail.com> parents: 66064 diff changeset	73 msg = 'floats {!r} and {!r} are not identical'
e8f1ef5fd423 Update assertComplexIdentical to handle nans correctly. Mark Dickinson <dickinsm@gmail.com> parents: 66064 diff changeset	74
e8f1ef5fd423 Update assertComplexIdentical to handle nans correctly. Mark Dickinson <dickinsm@gmail.com> parents: 66064 diff changeset	75 if math.isnan(x) or math.isnan(y):
e8f1ef5fd423 Update assertComplexIdentical to handle nans correctly. Mark Dickinson <dickinsm@gmail.com> parents: 66064 diff changeset	76 if math.isnan(x) and math.isnan(y):
e8f1ef5fd423 Update assertComplexIdentical to handle nans correctly. Mark Dickinson <dickinsm@gmail.com> parents: 66064 diff changeset	77 return
e8f1ef5fd423 Update assertComplexIdentical to handle nans correctly. Mark Dickinson <dickinsm@gmail.com> parents: 66064 diff changeset	78 elif x == y:
e8f1ef5fd423 Update assertComplexIdentical to handle nans correctly. Mark Dickinson <dickinsm@gmail.com> parents: 66064 diff changeset	79 if x != 0.0:
e8f1ef5fd423 Update assertComplexIdentical to handle nans correctly. Mark Dickinson <dickinsm@gmail.com> parents: 66064 diff changeset	80 return
e8f1ef5fd423 Update assertComplexIdentical to handle nans correctly. Mark Dickinson <dickinsm@gmail.com> parents: 66064 diff changeset	81 # both zero; check that signs match
e8f1ef5fd423 Update assertComplexIdentical to handle nans correctly. Mark Dickinson <dickinsm@gmail.com> parents: 66064 diff changeset	82 elif math.copysign(1.0, x) == math.copysign(1.0, y):
e8f1ef5fd423 Update assertComplexIdentical to handle nans correctly. Mark Dickinson <dickinsm@gmail.com> parents: 66064 diff changeset	83 return
e8f1ef5fd423 Update assertComplexIdentical to handle nans correctly. Mark Dickinson <dickinsm@gmail.com> parents: 66064 diff changeset	84 else:
e8f1ef5fd423 Update assertComplexIdentical to handle nans correctly. Mark Dickinson <dickinsm@gmail.com> parents: 66064 diff changeset	85 msg += ': zeros have different signs'
e8f1ef5fd423 Update assertComplexIdentical to handle nans correctly. Mark Dickinson <dickinsm@gmail.com> parents: 66064 diff changeset	86 self.fail(msg.format(x, y))
e8f1ef5fd423 Update assertComplexIdentical to handle nans correctly. Mark Dickinson <dickinsm@gmail.com> parents: 66064 diff changeset	87
e8f1ef5fd423 Update assertComplexIdentical to handle nans correctly. Mark Dickinson <dickinsm@gmail.com> parents: 66064 diff changeset	88 def assertComplexIdentical(self, x, y):
e8f1ef5fd423 Update assertComplexIdentical to handle nans correctly. Mark Dickinson <dickinsm@gmail.com> parents: 66064 diff changeset	89 """Fail unless complex numbers x and y have equal values and signs.
e8f1ef5fd423 Update assertComplexIdentical to handle nans correctly. Mark Dickinson <dickinsm@gmail.com> parents: 66064 diff changeset	90
e8f1ef5fd423 Update assertComplexIdentical to handle nans correctly. Mark Dickinson <dickinsm@gmail.com> parents: 66064 diff changeset	91 In particular, if x and y both have real (or imaginary) part
e8f1ef5fd423 Update assertComplexIdentical to handle nans correctly. Mark Dickinson <dickinsm@gmail.com> parents: 66064 diff changeset	92 zero, but the zeros have different signs, this test will fail.
e8f1ef5fd423 Update assertComplexIdentical to handle nans correctly. Mark Dickinson <dickinsm@gmail.com> parents: 66064 diff changeset	93
e8f1ef5fd423 Update assertComplexIdentical to handle nans correctly. Mark Dickinson <dickinsm@gmail.com> parents: 66064 diff changeset	94 """
e8f1ef5fd423 Update assertComplexIdentical to handle nans correctly. Mark Dickinson <dickinsm@gmail.com> parents: 66064 diff changeset	95 self.assertFloatIdentical(x.real, y.real)
e8f1ef5fd423 Update assertComplexIdentical to handle nans correctly. Mark Dickinson <dickinsm@gmail.com> parents: 66064 diff changeset	96 self.assertFloatIdentical(x.imag, y.imag)
66064 fdcaac0e010a Issue #10337: skip tests of tanh() sign in test_math and test_cmath if tanh() Victor Stinner <victor.stinner@haypocalc.com> parents: 62972 diff changeset	97
57841 08df1c9ea643 Merged revisions 76948 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 57835 diff changeset	98 def rAssertAlmostEqual(self, a, b, rel_err = 2e-15, abs_err = 5e-323,
08df1c9ea643 Merged revisions 76948 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 57835 diff changeset	99 msg=None):
08df1c9ea643 Merged revisions 76948 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 57835 diff changeset	100 """Fail if the two floating-point numbers are not almost equal.
08df1c9ea643 Merged revisions 76948 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 57835 diff changeset	101
08df1c9ea643 Merged revisions 76948 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 57835 diff changeset	102 Determine whether floating-point values a and b are equal to within
08df1c9ea643 Merged revisions 76948 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 57835 diff changeset	103 a (small) rounding error. The default values for rel_err and
08df1c9ea643 Merged revisions 76948 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 57835 diff changeset	104 abs_err are chosen to be suitable for platforms where a float is
08df1c9ea643 Merged revisions 76948 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 57835 diff changeset	105 represented by an IEEE 754 double. They allow an error of between
08df1c9ea643 Merged revisions 76948 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 57835 diff changeset	106 9 and 19 ulps.
08df1c9ea643 Merged revisions 76948 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 57835 diff changeset	107 """
46477 b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	108
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	109 # special values testing
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	110 if math.isnan(a):
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	111 if math.isnan(b):
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	112 return
57841 08df1c9ea643 Merged revisions 76948 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 57835 diff changeset	113 self.fail(msg or '{!r} should be nan'.format(b))
46477 b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	114
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	115 if math.isinf(a):
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	116 if a == b:
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	117 return
57841 08df1c9ea643 Merged revisions 76948 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 57835 diff changeset	118 self.fail(msg or 'finite result where infinity expected: '
08df1c9ea643 Merged revisions 76948 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 57835 diff changeset	119 'expected {!r}, got {!r}'.format(a, b))
46477 b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	120
57841 08df1c9ea643 Merged revisions 76948 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 57835 diff changeset	121 # if both a and b are zero, check whether they have the same sign
08df1c9ea643 Merged revisions 76948 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 57835 diff changeset	122 # (in theory there are examples where it would be legitimate for a
08df1c9ea643 Merged revisions 76948 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 57835 diff changeset	123 # and b to have opposite signs; in practice these hardly ever
08df1c9ea643 Merged revisions 76948 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 57835 diff changeset	124 # occur).
46477 b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	125 if not a and not b:
57841 08df1c9ea643 Merged revisions 76948 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 57835 diff changeset	126 if math.copysign(1., a) != math.copysign(1., b):
08df1c9ea643 Merged revisions 76948 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 57835 diff changeset	127 self.fail(msg or 'zero has wrong sign: expected {!r}, '
08df1c9ea643 Merged revisions 76948 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 57835 diff changeset	128 'got {!r}'.format(a, b))
46477 b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	129
57841 08df1c9ea643 Merged revisions 76948 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 57835 diff changeset	130 # if a-b overflows, or b is infinite, return False. Again, in
08df1c9ea643 Merged revisions 76948 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 57835 diff changeset	131 # theory there are examples where a is within a few ulps of the
08df1c9ea643 Merged revisions 76948 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 57835 diff changeset	132 # max representable float, and then b could legitimately be
08df1c9ea643 Merged revisions 76948 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 57835 diff changeset	133 # infinite. In practice these examples are rare.
46477 b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	134 try:
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	135 absolute_error = abs(b-a)
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	136 except OverflowError:
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	137 pass
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	138 else:
57841 08df1c9ea643 Merged revisions 76948 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 57835 diff changeset	139 # test passes if either the absolute error or the relative
08df1c9ea643 Merged revisions 76948 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 57835 diff changeset	140 # error is sufficiently small. The defaults amount to an
08df1c9ea643 Merged revisions 76948 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 57835 diff changeset	141 # error of between 9 ulps and 19 ulps on an IEEE-754 compliant
08df1c9ea643 Merged revisions 76948 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 57835 diff changeset	142 # machine.
46477 b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	143 if absolute_error <= max(abs_err, rel_err * abs(a)):
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	144 return
57841 08df1c9ea643 Merged revisions 76948 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 57835 diff changeset	145 self.fail(msg or
08df1c9ea643 Merged revisions 76948 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 57835 diff changeset	146 '{!r} and {!r} are not sufficiently close'.format(a, b))
41554 06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	147
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	148 def test_constants(self):
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	149 e_expected = 2.71828182845904523536
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	150 pi_expected = 3.14159265358979323846
57835 4d430e55ad7c Merged revisions 76943 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 55593 diff changeset	151 self.assertAlmostEqual(cmath.pi, pi_expected, places=9,
57841 08df1c9ea643 Merged revisions 76948 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 57835 diff changeset	152 msg="cmath.pi is {}; should be {}".format(cmath.pi, pi_expected))
57835 4d430e55ad7c Merged revisions 76943 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 55593 diff changeset	153 self.assertAlmostEqual(cmath.e, e_expected, places=9,
57841 08df1c9ea643 Merged revisions 76948 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 57835 diff changeset	154 msg="cmath.e is {}; should be {}".format(cmath.e, e_expected))
41554 06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	155
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	156 def test_user_object(self):
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	157 # Test automatic calling of __complex__ and __float__ by cmath
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	158 # functions
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	159
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	160 # some random values to use as test values; we avoid values
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	161 # for which any of the functions in cmath is undefined
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	162 # (i.e. 0., 1., -1., 1j, -1j) or would cause overflow
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	163 cx_arg = 4.419414439 + 1.497100113j
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	164 flt_arg = -6.131677725
32350 11c31a98dfd6 Patch #826074: cmath.log optional base argument, fixes #823209 Raymond Hettinger <python@rcn.com> parents: 24364 diff changeset	165
41554 06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	166 # a variety of non-complex numbers, used to check that
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	167 # non-complex return values from __complex__ give an error
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	168 non_complexes = ["not complex", 1, 5, 2., None,
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	169 object(), NotImplemented]
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	170
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	171 # Now we introduce a variety of classes whose instances might
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	172 # end up being passed to the cmath functions
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	173
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	174 # usual case: new-style class implementing __complex__
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	175 class MyComplex(object):
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	176 def __init__(self, value):
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	177 self.value = value
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	178 def __complex__(self):
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	179 return self.value
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	180
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	181 # old-style class implementing __complex__
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	182 class MyComplexOS:
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	183 def __init__(self, value):
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	184 self.value = value
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	185 def __complex__(self):
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	186 return self.value
32350 11c31a98dfd6 Patch #826074: cmath.log optional base argument, fixes #823209 Raymond Hettinger <python@rcn.com> parents: 24364 diff changeset	187
41554 06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	188 # classes for which __complex__ raises an exception
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	189 class SomeException(Exception):
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	190 pass
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	191 class MyComplexException(object):
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	192 def __complex__(self):
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	193 raise SomeException
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	194 class MyComplexExceptionOS:
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	195 def __complex__(self):
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	196 raise SomeException
32350 11c31a98dfd6 Patch #826074: cmath.log optional base argument, fixes #823209 Raymond Hettinger <python@rcn.com> parents: 24364 diff changeset	197
41554 06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	198 # some classes not providing __float__ or __complex__
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	199 class NeitherComplexNorFloat(object):
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	200 pass
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	201 class NeitherComplexNorFloatOS:
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	202 pass
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	203 class MyInt(object):
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	204 def __int__(self): return 2
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	205 def __index__(self): return 2
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	206 class MyIntOS:
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	207 def __int__(self): return 2
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	208 def __index__(self): return 2
4638 5f7d246bbeb7 New test module for complex math module Roger E. Masse <rmasse@newcnri.cnri.reston.va.us> parents: diff changeset	209
41554 06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	210 # other possible combinations of __float__ and __complex__
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	211 # that should work
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	212 class FloatAndComplex(object):
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	213 def __float__(self):
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	214 return flt_arg
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	215 def __complex__(self):
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	216 return cx_arg
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	217 class FloatAndComplexOS:
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	218 def __float__(self):
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	219 return flt_arg
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	220 def __complex__(self):
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	221 return cx_arg
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	222 class JustFloat(object):
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	223 def __float__(self):
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	224 return flt_arg
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	225 class JustFloatOS:
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	226 def __float__(self):
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	227 return flt_arg
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	228
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	229 for f in self.test_functions:
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	230 # usual usage
46477 b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	231 self.assertEqual(f(MyComplex(cx_arg)), f(cx_arg))
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	232 self.assertEqual(f(MyComplexOS(cx_arg)), f(cx_arg))
41554 06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	233 # other combinations of __float__ and __complex__
46477 b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	234 self.assertEqual(f(FloatAndComplex()), f(cx_arg))
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	235 self.assertEqual(f(FloatAndComplexOS()), f(cx_arg))
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	236 self.assertEqual(f(JustFloat()), f(flt_arg))
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	237 self.assertEqual(f(JustFloatOS()), f(flt_arg))
41554 06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	238 # TypeError should be raised for classes not providing
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	239 # either __complex__ or __float__, even if they provide
50804 427e43d0e031 Merged revisions 68619 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 47201 diff changeset	240 # __int__ or __index__. An old-style class
41554 06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	241 # currently raises AttributeError instead of a TypeError;
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	242 # this could be considered a bug.
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	243 self.assertRaises(TypeError, f, NeitherComplexNorFloat())
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	244 self.assertRaises(TypeError, f, MyInt())
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	245 self.assertRaises(Exception, f, NeitherComplexNorFloatOS())
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	246 self.assertRaises(Exception, f, MyIntOS())
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	247 # non-complex return value from __complex__ -> TypeError
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	248 for bad_complex in non_complexes:
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	249 self.assertRaises(TypeError, f, MyComplex(bad_complex))
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	250 self.assertRaises(TypeError, f, MyComplexOS(bad_complex))
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	251 # exceptions in __complex__ should be propagated correctly
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	252 self.assertRaises(SomeException, f, MyComplexException())
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	253 self.assertRaises(SomeException, f, MyComplexExceptionOS())
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	254
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	255 def test_input_type(self):
85418 4d62a62ba44d Issue #18783: Removed existing mentions of Python long type in docstrings, Serhiy Storchaka <storchaka@gmail.com> parents: 78640 diff changeset	256 # ints should be acceptable inputs to all cmath
41554 06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	257 # functions, by virtue of providing a __float__ method
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	258 for f in self.test_functions:
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	259 for arg in [2, 2.]:
46477 b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	260 self.assertEqual(f(arg), f(arg.__float__()))
4811 9ae3cccfa7cd Many scripts, but small changes. Update the way the scripts obtain the Roger E. Masse <rmasse@newcnri.cnri.reston.va.us> parents: 4638 diff changeset	261
41554 06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	262 # but strings should give a TypeError
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	263 for f in self.test_functions:
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	264 for arg in ["a", "long_string", "0", "1j", ""]:
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	265 self.assertRaises(TypeError, f, arg)
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	266
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	267 def test_cmath_matches_math(self):
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	268 # check that corresponding cmath and math functions are equal
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	269 # for floats in the appropriate range
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	270
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	271 # test_values in (0, 1)
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	272 test_values = [0.01, 0.1, 0.2, 0.5, 0.9, 0.99]
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	273
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	274 # test_values for functions defined on [-1., 1.]
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	275 unit_interval = test_values + [-x for x in test_values] + \
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	276 [0., 1., -1.]
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	277
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	278 # test_values for log, log10, sqrt
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	279 positive = test_values + [1.] + [1./x for x in test_values]
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	280 nonnegative = [0.] + positive
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	281
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	282 # test_values for functions defined on the whole real line
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	283 real_line = [0.] + positive + [-x for x in positive]
4811 9ae3cccfa7cd Many scripts, but small changes. Update the way the scripts obtain the Roger E. Masse <rmasse@newcnri.cnri.reston.va.us> parents: 4638 diff changeset	284
41554 06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	285 test_functions = {
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	286 'acos' : unit_interval,
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	287 'asin' : unit_interval,
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	288 'atan' : real_line,
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	289 'cos' : real_line,
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	290 'cosh' : real_line,
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	291 'exp' : real_line,
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	292 'log' : positive,
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	293 'log10' : positive,
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	294 'sin' : real_line,
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	295 'sinh' : real_line,
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	296 'sqrt' : nonnegative,
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	297 'tan' : real_line,
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	298 'tanh' : real_line}
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	299
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	300 for fn, values in test_functions.items():
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	301 float_fn = getattr(math, fn)
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	302 complex_fn = getattr(cmath, fn)
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	303 for v in values:
46477 b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	304 z = complex_fn(v)
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	305 self.rAssertAlmostEqual(float_fn(v), z.real)
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	306 self.assertEqual(0., z.imag)
41554 06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	307
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	308 # test two-argument version of log with various bases
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	309 for base in [0.5, 2., 10.]:
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	310 for v in positive:
46477 b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	311 z = cmath.log(v, base)
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	312 self.rAssertAlmostEqual(math.log(v, base), z.real)
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	313 self.assertEqual(0., z.imag)
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	314
66709 f2a4ade36a1e Issue #10624: Use support.requires_IEEE_754 in all appropriate tests. Eric Smith <eric@trueblade.com> parents: 66268 diff changeset	315 @requires_IEEE_754
46477 b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	316 def test_specific_values(self):
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	317 def rect_complex(z):
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	318 """Wrapped version of rect that accepts a complex number instead of
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	319 two float arguments."""
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	320 return cmath.rect(z.real, z.imag)
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	321
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	322 def polar_complex(z):
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	323 """Wrapped version of polar that returns a complex number instead of
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	324 two floats."""
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	325 return complex(*polar(z))
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	326
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	327 for id, fn, ar, ai, er, ei, flags in parse_testfile(test_file):
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	328 arg = complex(ar, ai)
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	329 expected = complex(er, ei)
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	330 if fn == 'rect':
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	331 function = rect_complex
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	332 elif fn == 'polar':
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	333 function = polar_complex
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	334 else:
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	335 function = getattr(cmath, fn)
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	336 if 'divide-by-zero' in flags or 'invalid' in flags:
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	337 try:
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	338 actual = function(arg)
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	339 except ValueError:
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	340 continue
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	341 else:
57841 08df1c9ea643 Merged revisions 76948 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 57835 diff changeset	342 self.fail('ValueError not raised in test '
08df1c9ea643 Merged revisions 76948 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 57835 diff changeset	343 '{}: {}(complex({!r}, {!r}))'.format(id, fn, ar, ai))
46477 b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	344
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	345 if 'overflow' in flags:
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	346 try:
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	347 actual = function(arg)
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	348 except OverflowError:
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	349 continue
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	350 else:
57841 08df1c9ea643 Merged revisions 76948 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 57835 diff changeset	351 self.fail('OverflowError not raised in test '
08df1c9ea643 Merged revisions 76948 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 57835 diff changeset	352 '{}: {}(complex({!r}, {!r}))'.format(id, fn, ar, ai))
46477 b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	353
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	354 actual = function(arg)
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	355
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	356 if 'ignore-real-sign' in flags:
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	357 actual = complex(abs(actual.real), actual.imag)
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	358 expected = complex(abs(expected.real), expected.imag)
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	359 if 'ignore-imag-sign' in flags:
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	360 actual = complex(actual.real, abs(actual.imag))
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	361 expected = complex(expected.real, abs(expected.imag))
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	362
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	363 # for the real part of the log function, we allow an
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	364 # absolute error of up to 2e-15.
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	365 if fn in ('log', 'log10'):
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	366 real_abs_err = 2e-15
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	367 else:
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	368 real_abs_err = 5e-323
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	369
57841 08df1c9ea643 Merged revisions 76948 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 57835 diff changeset	370 error_message = (
08df1c9ea643 Merged revisions 76948 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 57835 diff changeset	371 '{}: {}(complex({!r}, {!r}))\n'
08df1c9ea643 Merged revisions 76948 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 57835 diff changeset	372 'Expected: complex({!r}, {!r})\n'
08df1c9ea643 Merged revisions 76948 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 57835 diff changeset	373 'Received: complex({!r}, {!r})\n'
08df1c9ea643 Merged revisions 76948 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 57835 diff changeset	374 'Received value insufficiently close to expected value.'
08df1c9ea643 Merged revisions 76948 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 57835 diff changeset	375 ).format(id, fn, ar, ai,
08df1c9ea643 Merged revisions 76948 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 57835 diff changeset	376 expected.real, expected.imag,
08df1c9ea643 Merged revisions 76948 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 57835 diff changeset	377 actual.real, actual.imag)
08df1c9ea643 Merged revisions 76948 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 57835 diff changeset	378 self.rAssertAlmostEqual(expected.real, actual.real,
08df1c9ea643 Merged revisions 76948 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 57835 diff changeset	379 abs_err=real_abs_err,
08df1c9ea643 Merged revisions 76948 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 57835 diff changeset	380 msg=error_message)
08df1c9ea643 Merged revisions 76948 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 57835 diff changeset	381 self.rAssertAlmostEqual(expected.imag, actual.imag,
08df1c9ea643 Merged revisions 76948 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 57835 diff changeset	382 msg=error_message)
46477 b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	383
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	384 def assertCISEqual(self, a, b):
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	385 eps = 1E-7
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	386 if abs(a[0] - b[0]) > eps or abs(a[1] - b[1]) > eps:
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	387 self.fail((a ,b))
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	388
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	389 def test_polar(self):
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	390 self.assertCISEqual(polar(0), (0., 0.))
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	391 self.assertCISEqual(polar(1.), (1., 0.))
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	392 self.assertCISEqual(polar(-1.), (1., pi))
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	393 self.assertCISEqual(polar(1j), (1., pi/2))
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	394 self.assertCISEqual(polar(-1j), (1., -pi/2))
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	395
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	396 def test_phase(self):
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	397 self.assertAlmostEqual(phase(0), 0.)
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	398 self.assertAlmostEqual(phase(1.), 0.)
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	399 self.assertAlmostEqual(phase(-1.), pi)
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	400 self.assertAlmostEqual(phase(-1.+1E-300j), pi)
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	401 self.assertAlmostEqual(phase(-1.-1E-300j), -pi)
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	402 self.assertAlmostEqual(phase(1j), pi/2)
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	403 self.assertAlmostEqual(phase(-1j), -pi/2)
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	404
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	405 # zeros
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	406 self.assertEqual(phase(complex(0.0, 0.0)), 0.0)
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	407 self.assertEqual(phase(complex(0.0, -0.0)), -0.0)
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	408 self.assertEqual(phase(complex(-0.0, 0.0)), pi)
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	409 self.assertEqual(phase(complex(-0.0, -0.0)), -pi)
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	410
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	411 # infinities
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	412 self.assertAlmostEqual(phase(complex(-INF, -0.0)), -pi)
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	413 self.assertAlmostEqual(phase(complex(-INF, -2.3)), -pi)
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	414 self.assertAlmostEqual(phase(complex(-INF, -INF)), -0.75*pi)
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	415 self.assertAlmostEqual(phase(complex(-2.3, -INF)), -pi/2)
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	416 self.assertAlmostEqual(phase(complex(-0.0, -INF)), -pi/2)
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	417 self.assertAlmostEqual(phase(complex(0.0, -INF)), -pi/2)
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	418 self.assertAlmostEqual(phase(complex(2.3, -INF)), -pi/2)
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	419 self.assertAlmostEqual(phase(complex(INF, -INF)), -pi/4)
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	420 self.assertEqual(phase(complex(INF, -2.3)), -0.0)
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	421 self.assertEqual(phase(complex(INF, -0.0)), -0.0)
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	422 self.assertEqual(phase(complex(INF, 0.0)), 0.0)
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	423 self.assertEqual(phase(complex(INF, 2.3)), 0.0)
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	424 self.assertAlmostEqual(phase(complex(INF, INF)), pi/4)
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	425 self.assertAlmostEqual(phase(complex(2.3, INF)), pi/2)
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	426 self.assertAlmostEqual(phase(complex(0.0, INF)), pi/2)
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	427 self.assertAlmostEqual(phase(complex(-0.0, INF)), pi/2)
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	428 self.assertAlmostEqual(phase(complex(-2.3, INF)), pi/2)
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	429 self.assertAlmostEqual(phase(complex(-INF, INF)), 0.75*pi)
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	430 self.assertAlmostEqual(phase(complex(-INF, 2.3)), pi)
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	431 self.assertAlmostEqual(phase(complex(-INF, 0.0)), pi)
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	432
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	433 # real or imaginary part NaN
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	434 for z in complex_nans:
55593 0bb232078b8c Merged revisions 73715 via svnmerge from Georg Brandl <georg@python.org> parents: 50804 diff changeset	435 self.assertTrue(math.isnan(phase(z)))
46477 b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	436
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	437 def test_abs(self):
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	438 # zeros
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	439 for z in complex_zeros:
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	440 self.assertEqual(abs(z), 0.0)
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	441
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	442 # infinities
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	443 for z in complex_infinities:
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	444 self.assertEqual(abs(z), INF)
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	445
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	446 # real or imaginary part NaN
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	447 self.assertEqual(abs(complex(NAN, -INF)), INF)
55593 0bb232078b8c Merged revisions 73715 via svnmerge from Georg Brandl <georg@python.org> parents: 50804 diff changeset	448 self.assertTrue(math.isnan(abs(complex(NAN, -2.3))))
0bb232078b8c Merged revisions 73715 via svnmerge from Georg Brandl <georg@python.org> parents: 50804 diff changeset	449 self.assertTrue(math.isnan(abs(complex(NAN, -0.0))))
0bb232078b8c Merged revisions 73715 via svnmerge from Georg Brandl <georg@python.org> parents: 50804 diff changeset	450 self.assertTrue(math.isnan(abs(complex(NAN, 0.0))))
0bb232078b8c Merged revisions 73715 via svnmerge from Georg Brandl <georg@python.org> parents: 50804 diff changeset	451 self.assertTrue(math.isnan(abs(complex(NAN, 2.3))))
46477 b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	452 self.assertEqual(abs(complex(NAN, INF)), INF)
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	453 self.assertEqual(abs(complex(-INF, NAN)), INF)
55593 0bb232078b8c Merged revisions 73715 via svnmerge from Georg Brandl <georg@python.org> parents: 50804 diff changeset	454 self.assertTrue(math.isnan(abs(complex(-2.3, NAN))))
0bb232078b8c Merged revisions 73715 via svnmerge from Georg Brandl <georg@python.org> parents: 50804 diff changeset	455 self.assertTrue(math.isnan(abs(complex(-0.0, NAN))))
0bb232078b8c Merged revisions 73715 via svnmerge from Georg Brandl <georg@python.org> parents: 50804 diff changeset	456 self.assertTrue(math.isnan(abs(complex(0.0, NAN))))
0bb232078b8c Merged revisions 73715 via svnmerge from Georg Brandl <georg@python.org> parents: 50804 diff changeset	457 self.assertTrue(math.isnan(abs(complex(2.3, NAN))))
46477 b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	458 self.assertEqual(abs(complex(INF, NAN)), INF)
55593 0bb232078b8c Merged revisions 73715 via svnmerge from Georg Brandl <georg@python.org> parents: 50804 diff changeset	459 self.assertTrue(math.isnan(abs(complex(NAN, NAN))))
46477 b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	460
66709 f2a4ade36a1e Issue #10624: Use support.requires_IEEE_754 in all appropriate tests. Eric Smith <eric@trueblade.com> parents: 66268 diff changeset	461
f2a4ade36a1e Issue #10624: Use support.requires_IEEE_754 in all appropriate tests. Eric Smith <eric@trueblade.com> parents: 66268 diff changeset	462 @requires_IEEE_754
f2a4ade36a1e Issue #10624: Use support.requires_IEEE_754 in all appropriate tests. Eric Smith <eric@trueblade.com> parents: 66268 diff changeset	463 def test_abs_overflows(self):
46477 b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	464 # result overflows
66709 f2a4ade36a1e Issue #10624: Use support.requires_IEEE_754 in all appropriate tests. Eric Smith <eric@trueblade.com> parents: 66268 diff changeset	465 self.assertRaises(OverflowError, abs, complex(1.4e308, 1.4e308))
46477 b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	466
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	467 def assertCEqual(self, a, b):
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	468 eps = 1E-7
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	469 if abs(a.real - b[0]) > eps or abs(a.imag - b[1]) > eps:
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	470 self.fail((a ,b))
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	471
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	472 def test_rect(self):
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	473 self.assertCEqual(rect(0, 0), (0, 0))
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	474 self.assertCEqual(rect(1, 0), (1., 0))
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	475 self.assertCEqual(rect(1, -pi), (-1., 0))
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	476 self.assertCEqual(rect(1, pi/2), (0, 1.))
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	477 self.assertCEqual(rect(1, -pi/2), (0, -1.))
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	478
62968 53e7ae8ca039 Issue #9165: Add math.isfinite and cmath.isfinite. Mark Dickinson <dickinsm@gmail.com> parents: 59615 diff changeset	479 def test_isfinite(self):
53e7ae8ca039 Issue #9165: Add math.isfinite and cmath.isfinite. Mark Dickinson <dickinsm@gmail.com> parents: 59615 diff changeset	480 real_vals = [float('-inf'), -2.3, -0.0,
53e7ae8ca039 Issue #9165: Add math.isfinite and cmath.isfinite. Mark Dickinson <dickinsm@gmail.com> parents: 59615 diff changeset	481 0.0, 2.3, float('inf'), float('nan')]
53e7ae8ca039 Issue #9165: Add math.isfinite and cmath.isfinite. Mark Dickinson <dickinsm@gmail.com> parents: 59615 diff changeset	482 for x in real_vals:
53e7ae8ca039 Issue #9165: Add math.isfinite and cmath.isfinite. Mark Dickinson <dickinsm@gmail.com> parents: 59615 diff changeset	483 for y in real_vals:
53e7ae8ca039 Issue #9165: Add math.isfinite and cmath.isfinite. Mark Dickinson <dickinsm@gmail.com> parents: 59615 diff changeset	484 z = complex(x, y)
62972 1cf43c6e6566 assertEquals -> assertEqual Mark Dickinson <dickinsm@gmail.com> parents: 62968 diff changeset	485 self.assertEqual(cmath.isfinite(z),
62968 53e7ae8ca039 Issue #9165: Add math.isfinite and cmath.isfinite. Mark Dickinson <dickinsm@gmail.com> parents: 59615 diff changeset	486 math.isfinite(x) and math.isfinite(y))
53e7ae8ca039 Issue #9165: Add math.isfinite and cmath.isfinite. Mark Dickinson <dickinsm@gmail.com> parents: 59615 diff changeset	487
46477 b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	488 def test_isnan(self):
55593 0bb232078b8c Merged revisions 73715 via svnmerge from Georg Brandl <georg@python.org> parents: 50804 diff changeset	489 self.assertFalse(cmath.isnan(1))
0bb232078b8c Merged revisions 73715 via svnmerge from Georg Brandl <georg@python.org> parents: 50804 diff changeset	490 self.assertFalse(cmath.isnan(1j))
0bb232078b8c Merged revisions 73715 via svnmerge from Georg Brandl <georg@python.org> parents: 50804 diff changeset	491 self.assertFalse(cmath.isnan(INF))
0bb232078b8c Merged revisions 73715 via svnmerge from Georg Brandl <georg@python.org> parents: 50804 diff changeset	492 self.assertTrue(cmath.isnan(NAN))
0bb232078b8c Merged revisions 73715 via svnmerge from Georg Brandl <georg@python.org> parents: 50804 diff changeset	493 self.assertTrue(cmath.isnan(complex(NAN, 0)))
0bb232078b8c Merged revisions 73715 via svnmerge from Georg Brandl <georg@python.org> parents: 50804 diff changeset	494 self.assertTrue(cmath.isnan(complex(0, NAN)))
0bb232078b8c Merged revisions 73715 via svnmerge from Georg Brandl <georg@python.org> parents: 50804 diff changeset	495 self.assertTrue(cmath.isnan(complex(NAN, NAN)))
0bb232078b8c Merged revisions 73715 via svnmerge from Georg Brandl <georg@python.org> parents: 50804 diff changeset	496 self.assertTrue(cmath.isnan(complex(NAN, INF)))
0bb232078b8c Merged revisions 73715 via svnmerge from Georg Brandl <georg@python.org> parents: 50804 diff changeset	497 self.assertTrue(cmath.isnan(complex(INF, NAN)))
46477 b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	498
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	499 def test_isinf(self):
55593 0bb232078b8c Merged revisions 73715 via svnmerge from Georg Brandl <georg@python.org> parents: 50804 diff changeset	500 self.assertFalse(cmath.isinf(1))
0bb232078b8c Merged revisions 73715 via svnmerge from Georg Brandl <georg@python.org> parents: 50804 diff changeset	501 self.assertFalse(cmath.isinf(1j))
0bb232078b8c Merged revisions 73715 via svnmerge from Georg Brandl <georg@python.org> parents: 50804 diff changeset	502 self.assertFalse(cmath.isinf(NAN))
0bb232078b8c Merged revisions 73715 via svnmerge from Georg Brandl <georg@python.org> parents: 50804 diff changeset	503 self.assertTrue(cmath.isinf(INF))
0bb232078b8c Merged revisions 73715 via svnmerge from Georg Brandl <georg@python.org> parents: 50804 diff changeset	504 self.assertTrue(cmath.isinf(complex(INF, 0)))
0bb232078b8c Merged revisions 73715 via svnmerge from Georg Brandl <georg@python.org> parents: 50804 diff changeset	505 self.assertTrue(cmath.isinf(complex(0, INF)))
0bb232078b8c Merged revisions 73715 via svnmerge from Georg Brandl <georg@python.org> parents: 50804 diff changeset	506 self.assertTrue(cmath.isinf(complex(INF, INF)))
0bb232078b8c Merged revisions 73715 via svnmerge from Georg Brandl <georg@python.org> parents: 50804 diff changeset	507 self.assertTrue(cmath.isinf(complex(NAN, INF)))
0bb232078b8c Merged revisions 73715 via svnmerge from Georg Brandl <georg@python.org> parents: 50804 diff changeset	508 self.assertTrue(cmath.isinf(complex(INF, NAN)))
46477 b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 43285 diff changeset	509
66064 fdcaac0e010a Issue #10337: skip tests of tanh() sign in test_math and test_cmath if tanh() Victor Stinner <victor.stinner@haypocalc.com> parents: 62972 diff changeset	510 @requires_IEEE_754
fdcaac0e010a Issue #10337: skip tests of tanh() sign in test_math and test_cmath if tanh() Victor Stinner <victor.stinner@haypocalc.com> parents: 62972 diff changeset	511 @unittest.skipIf(sysconfig.get_config_var('TANH_PRESERVES_ZERO_SIGN') == 0,
fdcaac0e010a Issue #10337: skip tests of tanh() sign in test_math and test_cmath if tanh() Victor Stinner <victor.stinner@haypocalc.com> parents: 62972 diff changeset	512 "system tanh() function doesn't copy the sign")
fdcaac0e010a Issue #10337: skip tests of tanh() sign in test_math and test_cmath if tanh() Victor Stinner <victor.stinner@haypocalc.com> parents: 62972 diff changeset	513 def testTanhSign(self):
66186 b11a84de4492 Streamline a cmath test (and fix some overlong lines into the bargain). Mark Dickinson <dickinsm@gmail.com> parents: 66066 diff changeset	514 for z in complex_zeros:
b11a84de4492 Streamline a cmath test (and fix some overlong lines into the bargain). Mark Dickinson <dickinsm@gmail.com> parents: 66066 diff changeset	515 self.assertComplexIdentical(cmath.tanh(z), z)
66064 fdcaac0e010a Issue #10337: skip tests of tanh() sign in test_math and test_cmath if tanh() Victor Stinner <victor.stinner@haypocalc.com> parents: 62972 diff changeset	516
66268 825e480c930d Issue #9920: Skip tests for cmath.atan and cmath.atanh applied to Mark Dickinson <dickinsm@gmail.com> parents: 66186 diff changeset	517 # The algorithm used for atan and atanh makes use of the system
825e480c930d Issue #9920: Skip tests for cmath.atan and cmath.atanh applied to Mark Dickinson <dickinsm@gmail.com> parents: 66186 diff changeset	518 # log1p function; If that system function doesn't respect the sign
825e480c930d Issue #9920: Skip tests for cmath.atan and cmath.atanh applied to Mark Dickinson <dickinsm@gmail.com> parents: 66186 diff changeset	519 # of zero, then atan and atanh will also have difficulties with
825e480c930d Issue #9920: Skip tests for cmath.atan and cmath.atanh applied to Mark Dickinson <dickinsm@gmail.com> parents: 66186 diff changeset	520 # the sign of complex zeros.
825e480c930d Issue #9920: Skip tests for cmath.atan and cmath.atanh applied to Mark Dickinson <dickinsm@gmail.com> parents: 66186 diff changeset	521 @requires_IEEE_754
825e480c930d Issue #9920: Skip tests for cmath.atan and cmath.atanh applied to Mark Dickinson <dickinsm@gmail.com> parents: 66186 diff changeset	522 def testAtanSign(self):
825e480c930d Issue #9920: Skip tests for cmath.atan and cmath.atanh applied to Mark Dickinson <dickinsm@gmail.com> parents: 66186 diff changeset	523 for z in complex_zeros:
825e480c930d Issue #9920: Skip tests for cmath.atan and cmath.atanh applied to Mark Dickinson <dickinsm@gmail.com> parents: 66186 diff changeset	524 self.assertComplexIdentical(cmath.atan(z), z)
825e480c930d Issue #9920: Skip tests for cmath.atan and cmath.atanh applied to Mark Dickinson <dickinsm@gmail.com> parents: 66186 diff changeset	525
825e480c930d Issue #9920: Skip tests for cmath.atan and cmath.atanh applied to Mark Dickinson <dickinsm@gmail.com> parents: 66186 diff changeset	526 @requires_IEEE_754
825e480c930d Issue #9920: Skip tests for cmath.atan and cmath.atanh applied to Mark Dickinson <dickinsm@gmail.com> parents: 66186 diff changeset	527 def testAtanhSign(self):
825e480c930d Issue #9920: Skip tests for cmath.atan and cmath.atanh applied to Mark Dickinson <dickinsm@gmail.com> parents: 66186 diff changeset	528 for z in complex_zeros:
825e480c930d Issue #9920: Skip tests for cmath.atan and cmath.atanh applied to Mark Dickinson <dickinsm@gmail.com> parents: 66186 diff changeset	529 self.assertComplexIdentical(cmath.atanh(z), z)
825e480c930d Issue #9920: Skip tests for cmath.atan and cmath.atanh applied to Mark Dickinson <dickinsm@gmail.com> parents: 66186 diff changeset	530
41554 06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	531
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	532 def test_main():
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	533 run_unittest(CMathTests)
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	534
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	535 if __name__ == "__main__":
06145fbc7ab9 Merged revisions 53952-54987 via svnmerge from Guido van Rossum <guido@python.org> parents: 40775 diff changeset	536 test_main()

Mercurial > cpython-lru_cache-weakref

annotate Lib/test/test_cmath.py @ 87690:66c1c9f32567 default tip