annotate Lib/test/test_cmath.py @ 80661:94de77bd0b4b 2.7

Issue #16194: document imp.load_dynamic problems when read several extension modules from the same binary object file.
author Andrew Svetlov <andrew.svetlov@gmail.com>
date Thu, 29 Nov 2012 19:51:28 +0200
parents b36cb4602e21
children
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
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ebe52dbc3553 Patch #1675423: PyComplex_AsCComplex() now tries to convert an object
Georg Brandl <georg@python.org>
parents: 32350
diff changeset
1 from test.test_support import run_unittest
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5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
2 from test.test_math import parse_testfile, test_file
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ebe52dbc3553 Patch #1675423: PyComplex_AsCComplex() now tries to convert an object
Georg Brandl <georg@python.org>
parents: 32350
diff changeset
3 import unittest
32350
11c31a98dfd6 Patch #826074: cmath.log optional base argument, fixes #823209
Raymond Hettinger <python@rcn.com>
parents: 24364
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4 import cmath, math
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5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
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5 from cmath import phase, polar, rect, pi
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
6
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
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7 INF = float('inf')
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
8 NAN = float('nan')
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
9
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
10 complex_zeros = [complex(x, y) for x in [0.0, -0.0] for y in [0.0, -0.0]]
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
11 complex_infinities = [complex(x, y) for x, y in [
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
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12 (INF, 0.0), # 1st quadrant
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
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13 (INF, 2.3),
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
14 (INF, INF),
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
15 (2.3, INF),
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
16 (0.0, INF),
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
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17 (-0.0, INF), # 2nd quadrant
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
18 (-2.3, INF),
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
19 (-INF, INF),
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
20 (-INF, 2.3),
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
21 (-INF, 0.0),
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
22 (-INF, -0.0), # 3rd quadrant
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
23 (-INF, -2.3),
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
24 (-INF, -INF),
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
25 (-2.3, -INF),
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
26 (-0.0, -INF),
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
27 (0.0, -INF), # 4th quadrant
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
28 (2.3, -INF),
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
29 (INF, -INF),
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
30 (INF, -2.3),
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
31 (INF, -0.0)
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
32 ]]
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
33 complex_nans = [complex(x, y) for x, y in [
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
34 (NAN, -INF),
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
35 (NAN, -2.3),
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
36 (NAN, -0.0),
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
37 (NAN, 0.0),
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
38 (NAN, 2.3),
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
39 (NAN, INF),
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
40 (-INF, NAN),
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
41 (-2.3, NAN),
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
42 (-0.0, NAN),
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
43 (0.0, NAN),
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
44 (2.3, NAN),
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
45 (INF, NAN)
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
46 ]]
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
47
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ebe52dbc3553 Patch #1675423: PyComplex_AsCComplex() now tries to convert an object
Georg Brandl <georg@python.org>
parents: 32350
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48 class CMathTests(unittest.TestCase):
ebe52dbc3553 Patch #1675423: PyComplex_AsCComplex() now tries to convert an object
Georg Brandl <georg@python.org>
parents: 32350
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49 # list of all functions in cmath
ebe52dbc3553 Patch #1675423: PyComplex_AsCComplex() now tries to convert an object
Georg Brandl <georg@python.org>
parents: 32350
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50 test_functions = [getattr(cmath, fname) for fname in [
ebe52dbc3553 Patch #1675423: PyComplex_AsCComplex() now tries to convert an object
Georg Brandl <georg@python.org>
parents: 32350
diff changeset
51 'acos', 'acosh', 'asin', 'asinh', 'atan', 'atanh',
ebe52dbc3553 Patch #1675423: PyComplex_AsCComplex() now tries to convert an object
Georg Brandl <georg@python.org>
parents: 32350
diff changeset
52 'cos', 'cosh', 'exp', 'log', 'log10', 'sin', 'sinh',
ebe52dbc3553 Patch #1675423: PyComplex_AsCComplex() now tries to convert an object
Georg Brandl <georg@python.org>
parents: 32350
diff changeset
53 'sqrt', 'tan', 'tanh']]
ebe52dbc3553 Patch #1675423: PyComplex_AsCComplex() now tries to convert an object
Georg Brandl <georg@python.org>
parents: 32350
diff changeset
54 # test first and second arguments independently for 2-argument log
ebe52dbc3553 Patch #1675423: PyComplex_AsCComplex() now tries to convert an object
Georg Brandl <georg@python.org>
parents: 32350
diff changeset
55 test_functions.append(lambda x : cmath.log(x, 1729. + 0j))
ebe52dbc3553 Patch #1675423: PyComplex_AsCComplex() now tries to convert an object
Georg Brandl <georg@python.org>
parents: 32350
diff changeset
56 test_functions.append(lambda x : cmath.log(14.-27j, x))
ebe52dbc3553 Patch #1675423: PyComplex_AsCComplex() now tries to convert an object
Georg Brandl <georg@python.org>
parents: 32350
diff changeset
57
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5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
58 def setUp(self):
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
59 self.test_values = open(test_file)
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
60
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
61 def tearDown(self):
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
62 self.test_values.close()
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
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63
57839
79717b7d379d Issue #7554: Various fixups in test_cmath.py: remove code duplication,
Mark Dickinson <dickinsm@gmail.com>
parents: 57832
diff changeset
64 def rAssertAlmostEqual(self, a, b, rel_err = 2e-15, abs_err = 5e-323,
79717b7d379d Issue #7554: Various fixups in test_cmath.py: remove code duplication,
Mark Dickinson <dickinsm@gmail.com>
parents: 57832
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65 msg=None):
79717b7d379d Issue #7554: Various fixups in test_cmath.py: remove code duplication,
Mark Dickinson <dickinsm@gmail.com>
parents: 57832
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66 """Fail if the two floating-point numbers are not almost equal.
79717b7d379d Issue #7554: Various fixups in test_cmath.py: remove code duplication,
Mark Dickinson <dickinsm@gmail.com>
parents: 57832
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67
79717b7d379d Issue #7554: Various fixups in test_cmath.py: remove code duplication,
Mark Dickinson <dickinsm@gmail.com>
parents: 57832
diff changeset
68 Determine whether floating-point values a and b are equal to within
79717b7d379d Issue #7554: Various fixups in test_cmath.py: remove code duplication,
Mark Dickinson <dickinsm@gmail.com>
parents: 57832
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69 a (small) rounding error. The default values for rel_err and
79717b7d379d Issue #7554: Various fixups in test_cmath.py: remove code duplication,
Mark Dickinson <dickinsm@gmail.com>
parents: 57832
diff changeset
70 abs_err are chosen to be suitable for platforms where a float is
79717b7d379d Issue #7554: Various fixups in test_cmath.py: remove code duplication,
Mark Dickinson <dickinsm@gmail.com>
parents: 57832
diff changeset
71 represented by an IEEE 754 double. They allow an error of between
79717b7d379d Issue #7554: Various fixups in test_cmath.py: remove code duplication,
Mark Dickinson <dickinsm@gmail.com>
parents: 57832
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72 9 and 19 ulps.
79717b7d379d Issue #7554: Various fixups in test_cmath.py: remove code duplication,
Mark Dickinson <dickinsm@gmail.com>
parents: 57832
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73 """
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5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
74
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
75 # special values testing
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
76 if math.isnan(a):
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
77 if math.isnan(b):
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
78 return
57839
79717b7d379d Issue #7554: Various fixups in test_cmath.py: remove code duplication,
Mark Dickinson <dickinsm@gmail.com>
parents: 57832
diff changeset
79 self.fail(msg or '{!r} should be nan'.format(b))
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5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
80
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
81 if math.isinf(a):
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
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82 if a == b:
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83 return
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84 self.fail(msg or 'finite result where infinity expected: '
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85 'expected {!r}, got {!r}'.format(a, b))
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86
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87 # if both a and b are zero, check whether they have the same sign
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88 # (in theory there are examples where it would be legitimate for a
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89 # and b to have opposite signs; in practice these hardly ever
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90 # occur).
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91 if not a and not b:
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92 if math.copysign(1., a) != math.copysign(1., b):
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93 self.fail(msg or 'zero has wrong sign: expected {!r}, '
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94 'got {!r}'.format(a, b))
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95
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96 # if a-b overflows, or b is infinite, return False. Again, in
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97 # theory there are examples where a is within a few ulps of the
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98 # max representable float, and then b could legitimately be
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99 # infinite. In practice these examples are rare.
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100 try:
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101 absolute_error = abs(b-a)
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102 except OverflowError:
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103 pass
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104 else:
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105 # test passes if either the absolute error or the relative
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106 # error is sufficiently small. The defaults amount to an
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107 # error of between 9 ulps and 19 ulps on an IEEE-754 compliant
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108 # machine.
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109 if absolute_error <= max(abs_err, rel_err * abs(a)):
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110 return
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111 self.fail(msg or
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112 '{!r} and {!r} are not sufficiently close'.format(a, b))
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113
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114 def test_constants(self):
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115 e_expected = 2.71828182845904523536
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116 pi_expected = 3.14159265358979323846
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117 self.assertAlmostEqual(cmath.pi, pi_expected, places=9,
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118 msg="cmath.pi is {}; should be {}".format(cmath.pi, pi_expected))
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119 self.assertAlmostEqual(cmath.e, e_expected, places=9,
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120 msg="cmath.e is {}; should be {}".format(cmath.e, e_expected))
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121
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122 def test_user_object(self):
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123 # Test automatic calling of __complex__ and __float__ by cmath
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124 # functions
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125
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126 # some random values to use as test values; we avoid values
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127 # for which any of the functions in cmath is undefined
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128 # (i.e. 0., 1., -1., 1j, -1j) or would cause overflow
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129 cx_arg = 4.419414439 + 1.497100113j
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130 flt_arg = -6.131677725
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131
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132 # a variety of non-complex numbers, used to check that
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133 # non-complex return values from __complex__ give an error
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134 non_complexes = ["not complex", 1, 5L, 2., None,
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135 object(), NotImplemented]
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136
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137 # Now we introduce a variety of classes whose instances might
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138 # end up being passed to the cmath functions
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139
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140 # usual case: new-style class implementing __complex__
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141 class MyComplex(object):
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142 def __init__(self, value):
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143 self.value = value
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144 def __complex__(self):
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145 return self.value
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146
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147 # old-style class implementing __complex__
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148 class MyComplexOS:
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149 def __init__(self, value):
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150 self.value = value
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151 def __complex__(self):
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152 return self.value
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153
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154 # classes for which __complex__ raises an exception
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155 class SomeException(Exception):
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156 pass
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157 class MyComplexException(object):
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158 def __complex__(self):
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159 raise SomeException
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160 class MyComplexExceptionOS:
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161 def __complex__(self):
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162 raise SomeException
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163
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164 # some classes not providing __float__ or __complex__
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165 class NeitherComplexNorFloat(object):
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166 pass
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167 class NeitherComplexNorFloatOS:
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168 pass
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169 class MyInt(object):
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170 def __int__(self): return 2
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171 def __long__(self): return 2L
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172 def __index__(self): return 2
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173 class MyIntOS:
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174 def __int__(self): return 2
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175 def __long__(self): return 2L
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176 def __index__(self): return 2
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177
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178 # other possible combinations of __float__ and __complex__
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179 # that should work
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180 class FloatAndComplex(object):
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181 def __float__(self):
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182 return flt_arg
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183 def __complex__(self):
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184 return cx_arg
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185 class FloatAndComplexOS:
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186 def __float__(self):
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187 return flt_arg
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188 def __complex__(self):
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189 return cx_arg
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190 class JustFloat(object):
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191 def __float__(self):
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192 return flt_arg
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193 class JustFloatOS:
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194 def __float__(self):
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195 return flt_arg
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196
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197 for f in self.test_functions:
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198 # usual usage
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199 self.assertEqual(f(MyComplex(cx_arg)), f(cx_arg))
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200 self.assertEqual(f(MyComplexOS(cx_arg)), f(cx_arg))
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201 # other combinations of __float__ and __complex__
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202 self.assertEqual(f(FloatAndComplex()), f(cx_arg))
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203 self.assertEqual(f(FloatAndComplexOS()), f(cx_arg))
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204 self.assertEqual(f(JustFloat()), f(flt_arg))
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205 self.assertEqual(f(JustFloatOS()), f(flt_arg))
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206 # TypeError should be raised for classes not providing
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207 # either __complex__ or __float__, even if they provide
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208 # __int__, __long__ or __index__. An old-style class
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209 # currently raises AttributeError instead of a TypeError;
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210 # this could be considered a bug.
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211 self.assertRaises(TypeError, f, NeitherComplexNorFloat())
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212 self.assertRaises(TypeError, f, MyInt())
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213 self.assertRaises(Exception, f, NeitherComplexNorFloatOS())
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214 self.assertRaises(Exception, f, MyIntOS())
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215 # non-complex return value from __complex__ -> TypeError
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216 for bad_complex in non_complexes:
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217 self.assertRaises(TypeError, f, MyComplex(bad_complex))
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218 self.assertRaises(TypeError, f, MyComplexOS(bad_complex))
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219 # exceptions in __complex__ should be propagated correctly
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220 self.assertRaises(SomeException, f, MyComplexException())
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221 self.assertRaises(SomeException, f, MyComplexExceptionOS())
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222
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223 def test_input_type(self):
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224 # ints and longs should be acceptable inputs to all cmath
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225 # functions, by virtue of providing a __float__ method
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226 for f in self.test_functions:
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227 for arg in [2, 2L, 2.]:
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228 self.assertEqual(f(arg), f(arg.__float__()))
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229
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230 # but strings should give a TypeError
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231 for f in self.test_functions:
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232 for arg in ["a", "long_string", "0", "1j", ""]:
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233 self.assertRaises(TypeError, f, arg)
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234
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235 def test_cmath_matches_math(self):
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236 # check that corresponding cmath and math functions are equal
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237 # for floats in the appropriate range
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238
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239 # test_values in (0, 1)
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240 test_values = [0.01, 0.1, 0.2, 0.5, 0.9, 0.99]
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241
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242 # test_values for functions defined on [-1., 1.]
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243 unit_interval = test_values + [-x for x in test_values] + \
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244 [0., 1., -1.]
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245
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246 # test_values for log, log10, sqrt
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247 positive = test_values + [1.] + [1./x for x in test_values]
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248 nonnegative = [0.] + positive
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249
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250 # test_values for functions defined on the whole real line
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251 real_line = [0.] + positive + [-x for x in positive]
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252
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253 test_functions = {
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254 'acos' : unit_interval,
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255 'asin' : unit_interval,
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256 'atan' : real_line,
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257 'cos' : real_line,
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258 'cosh' : real_line,
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259 'exp' : real_line,
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260 'log' : positive,
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261 'log10' : positive,
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262 'sin' : real_line,
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263 'sinh' : real_line,
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264 'sqrt' : nonnegative,
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265 'tan' : real_line,
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266 'tanh' : real_line}
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267
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268 for fn, values in test_functions.items():
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269 float_fn = getattr(math, fn)
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270 complex_fn = getattr(cmath, fn)
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271 for v in values:
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272 z = complex_fn(v)
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273 self.rAssertAlmostEqual(float_fn(v), z.real)
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274 self.assertEqual(0., z.imag)
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275
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276 # test two-argument version of log with various bases
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277 for base in [0.5, 2., 10.]:
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278 for v in positive:
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279 z = cmath.log(v, base)
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280 self.rAssertAlmostEqual(math.log(v, base), z.real)
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281 self.assertEqual(0., z.imag)
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282
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283 def test_specific_values(self):
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284 if not float.__getformat__("double").startswith("IEEE"):
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285 return
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286
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287 def rect_complex(z):
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288 """Wrapped version of rect that accepts a complex number instead of
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289 two float arguments."""
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290 return cmath.rect(z.real, z.imag)
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291
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292 def polar_complex(z):
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293 """Wrapped version of polar that returns a complex number instead of
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294 two floats."""
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295 return complex(*polar(z))
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296
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297 for id, fn, ar, ai, er, ei, flags in parse_testfile(test_file):
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298 arg = complex(ar, ai)
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299 expected = complex(er, ei)
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300 if fn == 'rect':
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diff changeset
301 function = rect_complex
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
302 elif fn == 'polar':
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
303 function = polar_complex
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
304 else:
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
305 function = getattr(cmath, fn)
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
306 if 'divide-by-zero' in flags or 'invalid' in flags:
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
307 try:
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
308 actual = function(arg)
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
309 except ValueError:
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
310 continue
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
311 else:
57839
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Mark Dickinson <dickinsm@gmail.com>
parents: 57832
diff changeset
312 self.fail('ValueError not raised in test '
79717b7d379d Issue #7554: Various fixups in test_cmath.py: remove code duplication,
Mark Dickinson <dickinsm@gmail.com>
parents: 57832
diff changeset
313 '{}: {}(complex({!r}, {!r}))'.format(id, fn, ar, ai))
46473
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
314
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
315 if 'overflow' in flags:
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
316 try:
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
317 actual = function(arg)
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
318 except OverflowError:
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
319 continue
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
320 else:
57839
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Mark Dickinson <dickinsm@gmail.com>
parents: 57832
diff changeset
321 self.fail('OverflowError not raised in test '
79717b7d379d Issue #7554: Various fixups in test_cmath.py: remove code duplication,
Mark Dickinson <dickinsm@gmail.com>
parents: 57832
diff changeset
322 '{}: {}(complex({!r}, {!r}))'.format(id, fn, ar, ai))
46473
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
323
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
324 actual = function(arg)
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
325
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
326 if 'ignore-real-sign' in flags:
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
327 actual = complex(abs(actual.real), actual.imag)
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
328 expected = complex(abs(expected.real), expected.imag)
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
329 if 'ignore-imag-sign' in flags:
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
330 actual = complex(actual.real, abs(actual.imag))
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
331 expected = complex(expected.real, abs(expected.imag))
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
332
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
333 # for the real part of the log function, we allow an
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
334 # absolute error of up to 2e-15.
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
335 if fn in ('log', 'log10'):
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
336 real_abs_err = 2e-15
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
337 else:
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
338 real_abs_err = 5e-323
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
339
57839
79717b7d379d Issue #7554: Various fixups in test_cmath.py: remove code duplication,
Mark Dickinson <dickinsm@gmail.com>
parents: 57832
diff changeset
340 error_message = (
79717b7d379d Issue #7554: Various fixups in test_cmath.py: remove code duplication,
Mark Dickinson <dickinsm@gmail.com>
parents: 57832
diff changeset
341 '{}: {}(complex({!r}, {!r}))\n'
79717b7d379d Issue #7554: Various fixups in test_cmath.py: remove code duplication,
Mark Dickinson <dickinsm@gmail.com>
parents: 57832
diff changeset
342 'Expected: complex({!r}, {!r})\n'
79717b7d379d Issue #7554: Various fixups in test_cmath.py: remove code duplication,
Mark Dickinson <dickinsm@gmail.com>
parents: 57832
diff changeset
343 'Received: complex({!r}, {!r})\n'
79717b7d379d Issue #7554: Various fixups in test_cmath.py: remove code duplication,
Mark Dickinson <dickinsm@gmail.com>
parents: 57832
diff changeset
344 'Received value insufficiently close to expected value.'
79717b7d379d Issue #7554: Various fixups in test_cmath.py: remove code duplication,
Mark Dickinson <dickinsm@gmail.com>
parents: 57832
diff changeset
345 ).format(id, fn, ar, ai,
79717b7d379d Issue #7554: Various fixups in test_cmath.py: remove code duplication,
Mark Dickinson <dickinsm@gmail.com>
parents: 57832
diff changeset
346 expected.real, expected.imag,
79717b7d379d Issue #7554: Various fixups in test_cmath.py: remove code duplication,
Mark Dickinson <dickinsm@gmail.com>
parents: 57832
diff changeset
347 actual.real, actual.imag)
79717b7d379d Issue #7554: Various fixups in test_cmath.py: remove code duplication,
Mark Dickinson <dickinsm@gmail.com>
parents: 57832
diff changeset
348 self.rAssertAlmostEqual(expected.real, actual.real,
79717b7d379d Issue #7554: Various fixups in test_cmath.py: remove code duplication,
Mark Dickinson <dickinsm@gmail.com>
parents: 57832
diff changeset
349 abs_err=real_abs_err,
79717b7d379d Issue #7554: Various fixups in test_cmath.py: remove code duplication,
Mark Dickinson <dickinsm@gmail.com>
parents: 57832
diff changeset
350 msg=error_message)
79717b7d379d Issue #7554: Various fixups in test_cmath.py: remove code duplication,
Mark Dickinson <dickinsm@gmail.com>
parents: 57832
diff changeset
351 self.rAssertAlmostEqual(expected.imag, actual.imag,
79717b7d379d Issue #7554: Various fixups in test_cmath.py: remove code duplication,
Mark Dickinson <dickinsm@gmail.com>
parents: 57832
diff changeset
352 msg=error_message)
46473
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
353
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
354 def assertCISEqual(self, a, b):
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
355 eps = 1E-7
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
356 if abs(a[0] - b[0]) > eps or abs(a[1] - b[1]) > eps:
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
357 self.fail((a ,b))
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
358
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
359 def test_polar(self):
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
360 self.assertCISEqual(polar(0), (0., 0.))
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
361 self.assertCISEqual(polar(1.), (1., 0.))
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
362 self.assertCISEqual(polar(-1.), (1., pi))
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
363 self.assertCISEqual(polar(1j), (1., pi/2))
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
364 self.assertCISEqual(polar(-1j), (1., -pi/2))
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
365
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
366 def test_phase(self):
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
367 self.assertAlmostEqual(phase(0), 0.)
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
368 self.assertAlmostEqual(phase(1.), 0.)
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
369 self.assertAlmostEqual(phase(-1.), pi)
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
370 self.assertAlmostEqual(phase(-1.+1E-300j), pi)
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
371 self.assertAlmostEqual(phase(-1.-1E-300j), -pi)
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
372 self.assertAlmostEqual(phase(1j), pi/2)
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
373 self.assertAlmostEqual(phase(-1j), -pi/2)
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
374
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
375 # zeros
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
376 self.assertEqual(phase(complex(0.0, 0.0)), 0.0)
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
377 self.assertEqual(phase(complex(0.0, -0.0)), -0.0)
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
378 self.assertEqual(phase(complex(-0.0, 0.0)), pi)
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
379 self.assertEqual(phase(complex(-0.0, -0.0)), -pi)
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
380
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
381 # infinities
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
382 self.assertAlmostEqual(phase(complex(-INF, -0.0)), -pi)
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
383 self.assertAlmostEqual(phase(complex(-INF, -2.3)), -pi)
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
384 self.assertAlmostEqual(phase(complex(-INF, -INF)), -0.75*pi)
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
385 self.assertAlmostEqual(phase(complex(-2.3, -INF)), -pi/2)
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
386 self.assertAlmostEqual(phase(complex(-0.0, -INF)), -pi/2)
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
387 self.assertAlmostEqual(phase(complex(0.0, -INF)), -pi/2)
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
388 self.assertAlmostEqual(phase(complex(2.3, -INF)), -pi/2)
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
389 self.assertAlmostEqual(phase(complex(INF, -INF)), -pi/4)
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
390 self.assertEqual(phase(complex(INF, -2.3)), -0.0)
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
391 self.assertEqual(phase(complex(INF, -0.0)), -0.0)
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
392 self.assertEqual(phase(complex(INF, 0.0)), 0.0)
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
393 self.assertEqual(phase(complex(INF, 2.3)), 0.0)
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
394 self.assertAlmostEqual(phase(complex(INF, INF)), pi/4)
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
395 self.assertAlmostEqual(phase(complex(2.3, INF)), pi/2)
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
396 self.assertAlmostEqual(phase(complex(0.0, INF)), pi/2)
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
397 self.assertAlmostEqual(phase(complex(-0.0, INF)), pi/2)
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
398 self.assertAlmostEqual(phase(complex(-2.3, INF)), pi/2)
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
399 self.assertAlmostEqual(phase(complex(-INF, INF)), 0.75*pi)
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
400 self.assertAlmostEqual(phase(complex(-INF, 2.3)), pi)
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
401 self.assertAlmostEqual(phase(complex(-INF, 0.0)), pi)
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
402
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
403 # real or imaginary part NaN
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
404 for z in complex_nans:
55002
6768b2350c57 convert usage of fail* to assert*
Benjamin Peterson <benjamin@python.org>
parents: 46473
diff changeset
405 self.assertTrue(math.isnan(phase(z)))
46473
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
406
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
407 def test_abs(self):
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
408 # zeros
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
409 for z in complex_zeros:
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
410 self.assertEqual(abs(z), 0.0)
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
411
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
412 # infinities
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
413 for z in complex_infinities:
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
414 self.assertEqual(abs(z), INF)
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
415
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
416 # real or imaginary part NaN
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
417 self.assertEqual(abs(complex(NAN, -INF)), INF)
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Benjamin Peterson <benjamin@python.org>
parents: 46473
diff changeset
418 self.assertTrue(math.isnan(abs(complex(NAN, -2.3))))
6768b2350c57 convert usage of fail* to assert*
Benjamin Peterson <benjamin@python.org>
parents: 46473
diff changeset
419 self.assertTrue(math.isnan(abs(complex(NAN, -0.0))))
6768b2350c57 convert usage of fail* to assert*
Benjamin Peterson <benjamin@python.org>
parents: 46473
diff changeset
420 self.assertTrue(math.isnan(abs(complex(NAN, 0.0))))
6768b2350c57 convert usage of fail* to assert*
Benjamin Peterson <benjamin@python.org>
parents: 46473
diff changeset
421 self.assertTrue(math.isnan(abs(complex(NAN, 2.3))))
46473
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
422 self.assertEqual(abs(complex(NAN, INF)), INF)
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
423 self.assertEqual(abs(complex(-INF, NAN)), INF)
55002
6768b2350c57 convert usage of fail* to assert*
Benjamin Peterson <benjamin@python.org>
parents: 46473
diff changeset
424 self.assertTrue(math.isnan(abs(complex(-2.3, NAN))))
6768b2350c57 convert usage of fail* to assert*
Benjamin Peterson <benjamin@python.org>
parents: 46473
diff changeset
425 self.assertTrue(math.isnan(abs(complex(-0.0, NAN))))
6768b2350c57 convert usage of fail* to assert*
Benjamin Peterson <benjamin@python.org>
parents: 46473
diff changeset
426 self.assertTrue(math.isnan(abs(complex(0.0, NAN))))
6768b2350c57 convert usage of fail* to assert*
Benjamin Peterson <benjamin@python.org>
parents: 46473
diff changeset
427 self.assertTrue(math.isnan(abs(complex(2.3, NAN))))
46473
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
428 self.assertEqual(abs(complex(INF, NAN)), INF)
55002
6768b2350c57 convert usage of fail* to assert*
Benjamin Peterson <benjamin@python.org>
parents: 46473
diff changeset
429 self.assertTrue(math.isnan(abs(complex(NAN, NAN))))
46473
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
430
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
431 # result overflows
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
432 if float.__getformat__("double").startswith("IEEE"):
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
433 self.assertRaises(OverflowError, abs, complex(1.4e308, 1.4e308))
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
434
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
435 def assertCEqual(self, a, b):
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
436 eps = 1E-7
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
437 if abs(a.real - b[0]) > eps or abs(a.imag - b[1]) > eps:
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
438 self.fail((a ,b))
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
439
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
440 def test_rect(self):
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
441 self.assertCEqual(rect(0, 0), (0, 0))
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
442 self.assertCEqual(rect(1, 0), (1., 0))
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
443 self.assertCEqual(rect(1, -pi), (-1., 0))
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
444 self.assertCEqual(rect(1, pi/2), (0, 1.))
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
445 self.assertCEqual(rect(1, -pi/2), (0, -1.))
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
446
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
447 def test_isnan(self):
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Benjamin Peterson <benjamin@python.org>
parents: 46473
diff changeset
448 self.assertFalse(cmath.isnan(1))
6768b2350c57 convert usage of fail* to assert*
Benjamin Peterson <benjamin@python.org>
parents: 46473
diff changeset
449 self.assertFalse(cmath.isnan(1j))
6768b2350c57 convert usage of fail* to assert*
Benjamin Peterson <benjamin@python.org>
parents: 46473
diff changeset
450 self.assertFalse(cmath.isnan(INF))
6768b2350c57 convert usage of fail* to assert*
Benjamin Peterson <benjamin@python.org>
parents: 46473
diff changeset
451 self.assertTrue(cmath.isnan(NAN))
6768b2350c57 convert usage of fail* to assert*
Benjamin Peterson <benjamin@python.org>
parents: 46473
diff changeset
452 self.assertTrue(cmath.isnan(complex(NAN, 0)))
6768b2350c57 convert usage of fail* to assert*
Benjamin Peterson <benjamin@python.org>
parents: 46473
diff changeset
453 self.assertTrue(cmath.isnan(complex(0, NAN)))
6768b2350c57 convert usage of fail* to assert*
Benjamin Peterson <benjamin@python.org>
parents: 46473
diff changeset
454 self.assertTrue(cmath.isnan(complex(NAN, NAN)))
6768b2350c57 convert usage of fail* to assert*
Benjamin Peterson <benjamin@python.org>
parents: 46473
diff changeset
455 self.assertTrue(cmath.isnan(complex(NAN, INF)))
6768b2350c57 convert usage of fail* to assert*
Benjamin Peterson <benjamin@python.org>
parents: 46473
diff changeset
456 self.assertTrue(cmath.isnan(complex(INF, NAN)))
46473
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
457
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
458 def test_isinf(self):
55002
6768b2350c57 convert usage of fail* to assert*
Benjamin Peterson <benjamin@python.org>
parents: 46473
diff changeset
459 self.assertFalse(cmath.isinf(1))
6768b2350c57 convert usage of fail* to assert*
Benjamin Peterson <benjamin@python.org>
parents: 46473
diff changeset
460 self.assertFalse(cmath.isinf(1j))
6768b2350c57 convert usage of fail* to assert*
Benjamin Peterson <benjamin@python.org>
parents: 46473
diff changeset
461 self.assertFalse(cmath.isinf(NAN))
6768b2350c57 convert usage of fail* to assert*
Benjamin Peterson <benjamin@python.org>
parents: 46473
diff changeset
462 self.assertTrue(cmath.isinf(INF))
6768b2350c57 convert usage of fail* to assert*
Benjamin Peterson <benjamin@python.org>
parents: 46473
diff changeset
463 self.assertTrue(cmath.isinf(complex(INF, 0)))
6768b2350c57 convert usage of fail* to assert*
Benjamin Peterson <benjamin@python.org>
parents: 46473
diff changeset
464 self.assertTrue(cmath.isinf(complex(0, INF)))
6768b2350c57 convert usage of fail* to assert*
Benjamin Peterson <benjamin@python.org>
parents: 46473
diff changeset
465 self.assertTrue(cmath.isinf(complex(INF, INF)))
6768b2350c57 convert usage of fail* to assert*
Benjamin Peterson <benjamin@python.org>
parents: 46473
diff changeset
466 self.assertTrue(cmath.isinf(complex(NAN, INF)))
6768b2350c57 convert usage of fail* to assert*
Benjamin Peterson <benjamin@python.org>
parents: 46473
diff changeset
467 self.assertTrue(cmath.isinf(complex(INF, NAN)))
46473
5bc7b20dc04a I finally got the time to update and merge Mark's and my trunk-math branch. The patch is collaborated work of Mark Dickinson and me. It was mostly done a few months ago. The patch fixes a lot of loose ends and edge cases related to operations with NaN, INF, very small values and complex math.
Christian Heimes <christian@cheimes.de>
parents: 41219
diff changeset
468
41219
ebe52dbc3553 Patch #1675423: PyComplex_AsCComplex() now tries to convert an object
Georg Brandl <georg@python.org>
parents: 32350
diff changeset
469
ebe52dbc3553 Patch #1675423: PyComplex_AsCComplex() now tries to convert an object
Georg Brandl <georg@python.org>
parents: 32350
diff changeset
470 def test_main():
ebe52dbc3553 Patch #1675423: PyComplex_AsCComplex() now tries to convert an object
Georg Brandl <georg@python.org>
parents: 32350
diff changeset
471 run_unittest(CMathTests)
ebe52dbc3553 Patch #1675423: PyComplex_AsCComplex() now tries to convert an object
Georg Brandl <georg@python.org>
parents: 32350
diff changeset
472
ebe52dbc3553 Patch #1675423: PyComplex_AsCComplex() now tries to convert an object
Georg Brandl <georg@python.org>
parents: 32350
diff changeset
473 if __name__ == "__main__":
ebe52dbc3553 Patch #1675423: PyComplex_AsCComplex() now tries to convert an object
Georg Brandl <georg@python.org>
parents: 32350
diff changeset
474 test_main()