cpython-lru_cache-weakref: Lib/test/test

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

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

author	Radomir Dopieralski <devel@sheep.art.pl>
date	Tue, 03 Dec 2013 16:02:48 +0100
parents	1feeeb8992f8
children

rev	line source
3950 75d016c97d1c Added test for math module Guido van Rossum <guido@python.org> parents: diff changeset	1 # Python test set -- math module
75d016c97d1c Added test for math module Guido van Rossum <guido@python.org> parents: diff changeset	2 # XXXX Should not do tests around zero only
75d016c97d1c Added test for math module Guido van Rossum <guido@python.org> parents: diff changeset	3
66706 ae3fa781eef2 Issue #10624: Move requires_IEEE_754 into test.support. I'll fix up other uses of it shortly. Eric Smith <eric@trueblade.com> parents: 66310 diff changeset	4 from test.support import run_unittest, verbose, requires_IEEE_754
70574 35212b113730 test.support: add requires_mac_ver() function Victor Stinner <victor.stinner@haypocalc.com> parents: 70018 diff changeset	5 from test import support
40450 cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	6 import unittest
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	7 import math
46477 b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	8 import os
70018 34871c3072c9 Issue #11888: skip some log2 tests on Mac OS X Tiger Victor Stinner <victor.stinner@haypocalc.com> parents: 69979 diff changeset	9 import platform
46477 b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	10 import sys
56270 47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	11 import struct
66064 fdcaac0e010a Issue #10337: skip tests of tanh() sign in test_math and test_cmath if tanh() Victor Stinner <victor.stinner@haypocalc.com> parents: 65026 diff changeset	12 import sysconfig
3950 75d016c97d1c Added test for math module Guido van Rossum <guido@python.org> parents: diff changeset	13
46477 b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	14 eps = 1E-05
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	15 NAN = float('nan')
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	16 INF = float('inf')
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	17 NINF = float('-inf')
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	18
53352 54b4489f1c28 Merged revisions 71837-71838 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 48606 diff changeset	19 # detect evidence of double-rounding: fsum is not always correctly
54b4489f1c28 Merged revisions 71837-71838 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 48606 diff changeset	20 # rounded on machines that suffer from double rounding.
54b4489f1c28 Merged revisions 71837-71838 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 48606 diff changeset	21 x, y = 1e16, 2.9999 # use temporary values to defeat peephole optimizer
54b4489f1c28 Merged revisions 71837-71838 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 48606 diff changeset	22 HAVE_DOUBLE_ROUNDING = (x + y == 1e16 + 4)
54b4489f1c28 Merged revisions 71837-71838 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 48606 diff changeset	23
46477 b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	24 # locate file with test values
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	25 if __name__ == '__main__':
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	26 file = sys.argv[0]
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	27 else:
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	28 file = __file__
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	29 test_dir = os.path.dirname(file) or os.curdir
56270 47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	30 math_testcases = os.path.join(test_dir, 'math_testcases.txt')
46477 b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	31 test_file = os.path.join(test_dir, 'cmath_testcases.txt')
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	32
56270 47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	33 def to_ulps(x):
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	34 """Convert a non-NaN float x to an integer, in such a way that
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	35 adjacent floats are converted to adjacent integers. Then
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	36 abs(ulps(x) - ulps(y)) gives the difference in ulps between two
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	37 floats.
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	38
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	39 The results from this function will only make sense on platforms
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	40 where C doubles are represented in IEEE 754 binary64 format.
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	41
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	42 """
56557 7d71c51fc308 Merged revisions 75454 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56308 diff changeset	43 n = struct.unpack('<q', struct.pack('<d', x))[0]
56270 47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	44 if n < 0:
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	45 n = ~(n+2**63)
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	46 return n
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	47
57660 7cb73e7c176d Merged revisions 76755 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56557 diff changeset	48 def ulps_check(expected, got, ulps=20):
7cb73e7c176d Merged revisions 76755 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56557 diff changeset	49 """Given non-NaN floats `expected` and `got`,
7cb73e7c176d Merged revisions 76755 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56557 diff changeset	50 check that they're equal to within the given number of ulps.
7cb73e7c176d Merged revisions 76755 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56557 diff changeset	51
7cb73e7c176d Merged revisions 76755 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56557 diff changeset	52 Returns None on success and an error message on failure."""
7cb73e7c176d Merged revisions 76755 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56557 diff changeset	53
7cb73e7c176d Merged revisions 76755 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56557 diff changeset	54 ulps_error = to_ulps(got) - to_ulps(expected)
7cb73e7c176d Merged revisions 76755 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56557 diff changeset	55 if abs(ulps_error) <= ulps:
7cb73e7c176d Merged revisions 76755 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56557 diff changeset	56 return None
7cb73e7c176d Merged revisions 76755 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56557 diff changeset	57 return "error = {} ulps; permitted error = {} ulps".format(ulps_error,
7cb73e7c176d Merged revisions 76755 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56557 diff changeset	58 ulps)
7cb73e7c176d Merged revisions 76755 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56557 diff changeset	59
61599 1e149b50aca6 Issue #8692: Improve performance of math.factorial: Mark Dickinson <dickinsm@gmail.com> parents: 61540 diff changeset	60 # Here's a pure Python version of the math.factorial algorithm, for
1e149b50aca6 Issue #8692: Improve performance of math.factorial: Mark Dickinson <dickinsm@gmail.com> parents: 61540 diff changeset	61 # documentation and comparison purposes.
1e149b50aca6 Issue #8692: Improve performance of math.factorial: Mark Dickinson <dickinsm@gmail.com> parents: 61540 diff changeset	62 #
1e149b50aca6 Issue #8692: Improve performance of math.factorial: Mark Dickinson <dickinsm@gmail.com> parents: 61540 diff changeset	63 # Formula:
1e149b50aca6 Issue #8692: Improve performance of math.factorial: Mark Dickinson <dickinsm@gmail.com> parents: 61540 diff changeset	64 #
1e149b50aca6 Issue #8692: Improve performance of math.factorial: Mark Dickinson <dickinsm@gmail.com> parents: 61540 diff changeset	65 # factorial(n) = factorial_odd_part(n) << (n - count_set_bits(n))
1e149b50aca6 Issue #8692: Improve performance of math.factorial: Mark Dickinson <dickinsm@gmail.com> parents: 61540 diff changeset	66 #
1e149b50aca6 Issue #8692: Improve performance of math.factorial: Mark Dickinson <dickinsm@gmail.com> parents: 61540 diff changeset	67 # where
1e149b50aca6 Issue #8692: Improve performance of math.factorial: Mark Dickinson <dickinsm@gmail.com> parents: 61540 diff changeset	68 #
1e149b50aca6 Issue #8692: Improve performance of math.factorial: Mark Dickinson <dickinsm@gmail.com> parents: 61540 diff changeset	69 # factorial_odd_part(n) = product_{i >= 0} product_{0 < j <= n >> i; j odd} j
1e149b50aca6 Issue #8692: Improve performance of math.factorial: Mark Dickinson <dickinsm@gmail.com> parents: 61540 diff changeset	70 #
1e149b50aca6 Issue #8692: Improve performance of math.factorial: Mark Dickinson <dickinsm@gmail.com> parents: 61540 diff changeset	71 # The outer product above is an infinite product, but once i >= n.bit_length,
1e149b50aca6 Issue #8692: Improve performance of math.factorial: Mark Dickinson <dickinsm@gmail.com> parents: 61540 diff changeset	72 # (n >> i) < 1 and the corresponding term of the product is empty. So only the
1e149b50aca6 Issue #8692: Improve performance of math.factorial: Mark Dickinson <dickinsm@gmail.com> parents: 61540 diff changeset	73 # finitely many terms for 0 <= i < n.bit_length() contribute anything.
1e149b50aca6 Issue #8692: Improve performance of math.factorial: Mark Dickinson <dickinsm@gmail.com> parents: 61540 diff changeset	74 #
1e149b50aca6 Issue #8692: Improve performance of math.factorial: Mark Dickinson <dickinsm@gmail.com> parents: 61540 diff changeset	75 # We iterate downwards from i == n.bit_length() - 1 to i == 0. The inner
1e149b50aca6 Issue #8692: Improve performance of math.factorial: Mark Dickinson <dickinsm@gmail.com> parents: 61540 diff changeset	76 # product in the formula above starts at 1 for i == n.bit_length(); for each i
1e149b50aca6 Issue #8692: Improve performance of math.factorial: Mark Dickinson <dickinsm@gmail.com> parents: 61540 diff changeset	77 # < n.bit_length() we get the inner product for i from that for i + 1 by
1e149b50aca6 Issue #8692: Improve performance of math.factorial: Mark Dickinson <dickinsm@gmail.com> parents: 61540 diff changeset	78 # multiplying by all j in {n >> i+1 < j <= n >> i; j odd}. In Python terms,
1e149b50aca6 Issue #8692: Improve performance of math.factorial: Mark Dickinson <dickinsm@gmail.com> parents: 61540 diff changeset	79 # this set is range((n >> i+1) + 1 \| 1, (n >> i) + 1 \| 1, 2).
1e149b50aca6 Issue #8692: Improve performance of math.factorial: Mark Dickinson <dickinsm@gmail.com> parents: 61540 diff changeset	80
1e149b50aca6 Issue #8692: Improve performance of math.factorial: Mark Dickinson <dickinsm@gmail.com> parents: 61540 diff changeset	81 def count_set_bits(n):
1e149b50aca6 Issue #8692: Improve performance of math.factorial: Mark Dickinson <dickinsm@gmail.com> parents: 61540 diff changeset	82 """Number of '1' bits in binary expansion of a nonnnegative integer."""
1e149b50aca6 Issue #8692: Improve performance of math.factorial: Mark Dickinson <dickinsm@gmail.com> parents: 61540 diff changeset	83 return 1 + count_set_bits(n & n - 1) if n else 0
1e149b50aca6 Issue #8692: Improve performance of math.factorial: Mark Dickinson <dickinsm@gmail.com> parents: 61540 diff changeset	84
1e149b50aca6 Issue #8692: Improve performance of math.factorial: Mark Dickinson <dickinsm@gmail.com> parents: 61540 diff changeset	85 def partial_product(start, stop):
1e149b50aca6 Issue #8692: Improve performance of math.factorial: Mark Dickinson <dickinsm@gmail.com> parents: 61540 diff changeset	86 """Product of integers in range(start, stop, 2), computed recursively.
1e149b50aca6 Issue #8692: Improve performance of math.factorial: Mark Dickinson <dickinsm@gmail.com> parents: 61540 diff changeset	87 start and stop should both be odd, with start <= stop.
1e149b50aca6 Issue #8692: Improve performance of math.factorial: Mark Dickinson <dickinsm@gmail.com> parents: 61540 diff changeset	88
1e149b50aca6 Issue #8692: Improve performance of math.factorial: Mark Dickinson <dickinsm@gmail.com> parents: 61540 diff changeset	89 """
1e149b50aca6 Issue #8692: Improve performance of math.factorial: Mark Dickinson <dickinsm@gmail.com> parents: 61540 diff changeset	90 numfactors = (stop - start) >> 1
1e149b50aca6 Issue #8692: Improve performance of math.factorial: Mark Dickinson <dickinsm@gmail.com> parents: 61540 diff changeset	91 if not numfactors:
1e149b50aca6 Issue #8692: Improve performance of math.factorial: Mark Dickinson <dickinsm@gmail.com> parents: 61540 diff changeset	92 return 1
1e149b50aca6 Issue #8692: Improve performance of math.factorial: Mark Dickinson <dickinsm@gmail.com> parents: 61540 diff changeset	93 elif numfactors == 1:
1e149b50aca6 Issue #8692: Improve performance of math.factorial: Mark Dickinson <dickinsm@gmail.com> parents: 61540 diff changeset	94 return start
1e149b50aca6 Issue #8692: Improve performance of math.factorial: Mark Dickinson <dickinsm@gmail.com> parents: 61540 diff changeset	95 else:
1e149b50aca6 Issue #8692: Improve performance of math.factorial: Mark Dickinson <dickinsm@gmail.com> parents: 61540 diff changeset	96 mid = (start + numfactors) \| 1
1e149b50aca6 Issue #8692: Improve performance of math.factorial: Mark Dickinson <dickinsm@gmail.com> parents: 61540 diff changeset	97 return partial_product(start, mid) * partial_product(mid, stop)
1e149b50aca6 Issue #8692: Improve performance of math.factorial: Mark Dickinson <dickinsm@gmail.com> parents: 61540 diff changeset	98
1e149b50aca6 Issue #8692: Improve performance of math.factorial: Mark Dickinson <dickinsm@gmail.com> parents: 61540 diff changeset	99 def py_factorial(n):
1e149b50aca6 Issue #8692: Improve performance of math.factorial: Mark Dickinson <dickinsm@gmail.com> parents: 61540 diff changeset	100 """Factorial of nonnegative integer n, via "Binary Split Factorial Formula"
1e149b50aca6 Issue #8692: Improve performance of math.factorial: Mark Dickinson <dickinsm@gmail.com> parents: 61540 diff changeset	101 described at http://www.luschny.de/math/factorial/binarysplitfact.html
1e149b50aca6 Issue #8692: Improve performance of math.factorial: Mark Dickinson <dickinsm@gmail.com> parents: 61540 diff changeset	102
1e149b50aca6 Issue #8692: Improve performance of math.factorial: Mark Dickinson <dickinsm@gmail.com> parents: 61540 diff changeset	103 """
1e149b50aca6 Issue #8692: Improve performance of math.factorial: Mark Dickinson <dickinsm@gmail.com> parents: 61540 diff changeset	104 inner = outer = 1
1e149b50aca6 Issue #8692: Improve performance of math.factorial: Mark Dickinson <dickinsm@gmail.com> parents: 61540 diff changeset	105 for i in reversed(range(n.bit_length())):
1e149b50aca6 Issue #8692: Improve performance of math.factorial: Mark Dickinson <dickinsm@gmail.com> parents: 61540 diff changeset	106 inner *= partial_product((n >> i + 1) + 1 \| 1, (n >> i) + 1 \| 1)
1e149b50aca6 Issue #8692: Improve performance of math.factorial: Mark Dickinson <dickinsm@gmail.com> parents: 61540 diff changeset	107 outer *= inner
1e149b50aca6 Issue #8692: Improve performance of math.factorial: Mark Dickinson <dickinsm@gmail.com> parents: 61540 diff changeset	108 return outer << (n - count_set_bits(n))
1e149b50aca6 Issue #8692: Improve performance of math.factorial: Mark Dickinson <dickinsm@gmail.com> parents: 61540 diff changeset	109
57660 7cb73e7c176d Merged revisions 76755 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56557 diff changeset	110 def acc_check(expected, got, rel_err=2e-15, abs_err = 5e-323):
7cb73e7c176d Merged revisions 76755 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56557 diff changeset	111 """Determine whether non-NaN floats a and b are equal to within a
7cb73e7c176d Merged revisions 76755 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56557 diff changeset	112 (small) rounding error. The default values for rel_err and
7cb73e7c176d Merged revisions 76755 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56557 diff changeset	113 abs_err are chosen to be suitable for platforms where a float is
7cb73e7c176d Merged revisions 76755 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56557 diff changeset	114 represented by an IEEE 754 double. They allow an error of between
7cb73e7c176d Merged revisions 76755 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56557 diff changeset	115 9 and 19 ulps."""
7cb73e7c176d Merged revisions 76755 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56557 diff changeset	116
7cb73e7c176d Merged revisions 76755 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56557 diff changeset	117 # need to special case infinities, since inf - inf gives nan
7cb73e7c176d Merged revisions 76755 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56557 diff changeset	118 if math.isinf(expected) and got == expected:
7cb73e7c176d Merged revisions 76755 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56557 diff changeset	119 return None
7cb73e7c176d Merged revisions 76755 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56557 diff changeset	120
7cb73e7c176d Merged revisions 76755 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56557 diff changeset	121 error = got - expected
7cb73e7c176d Merged revisions 76755 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56557 diff changeset	122
7cb73e7c176d Merged revisions 76755 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56557 diff changeset	123 permitted_error = max(abs_err, rel_err * abs(expected))
7cb73e7c176d Merged revisions 76755 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56557 diff changeset	124 if abs(error) < permitted_error:
7cb73e7c176d Merged revisions 76755 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56557 diff changeset	125 return None
7cb73e7c176d Merged revisions 76755 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56557 diff changeset	126 return "error = {}; permitted error = {}".format(error,
7cb73e7c176d Merged revisions 76755 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56557 diff changeset	127 permitted_error)
56270 47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	128
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	129 def parse_mtestfile(fname):
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	130 """Parse a file with test values
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	131
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	132 -- starts a comment
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	133 blank lines, or lines containing only a comment, are ignored
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	134 other lines are expected to have the form
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	135 id fn arg -> expected [flag]*
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	136
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	137 """
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	138 with open(fname) as fp:
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	139 for line in fp:
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	140 # strip comments, and skip blank lines
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	141 if '--' in line:
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	142 line = line[:line.index('--')]
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	143 if not line.strip():
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	144 continue
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	145
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	146 lhs, rhs = line.split('->')
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	147 id, fn, arg = lhs.split()
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	148 rhs_pieces = rhs.split()
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	149 exp = rhs_pieces[0]
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	150 flags = rhs_pieces[1:]
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	151
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	152 yield (id, fn, float(arg), float(exp), flags)
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	153
46477 b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	154 def parse_testfile(fname):
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	155 """Parse a file with test values
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	156
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	157 Empty lines or lines starting with -- are ignored
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	158 yields id, fn, arg_real, arg_imag, exp_real, exp_imag
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	159 """
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	160 with open(fname) as fp:
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	161 for line in fp:
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	162 # skip comment lines and blank lines
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	163 if line.startswith('--') or not line.strip():
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	164 continue
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	165
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	166 lhs, rhs = line.split('->')
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	167 id, fn, arg_real, arg_imag = lhs.split()
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	168 rhs_pieces = rhs.split()
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	169 exp_real, exp_imag = rhs_pieces[0], rhs_pieces[1]
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	170 flags = rhs_pieces[2:]
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	171
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	172 yield (id, fn,
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	173 float(arg_real), float(arg_imag),
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	174 float(exp_real), float(exp_imag),
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	175 flags
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	176 )
40450 cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	177
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	178 class MathTests(unittest.TestCase):
3950 75d016c97d1c Added test for math module Guido van Rossum <guido@python.org> parents: diff changeset	179
40450 cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	180 def ftest(self, name, value, expected):
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	181 if abs(value-expected) > eps:
42466 3fc3cedc49ca Merged revisions 56753-56781 via svnmerge from Guido van Rossum <guido@python.org> parents: 41717 diff changeset	182 # Use %r instead of %f so the error message
3fc3cedc49ca Merged revisions 56753-56781 via svnmerge from Guido van Rossum <guido@python.org> parents: 41717 diff changeset	183 # displays full precision. Otherwise discrepancies
3fc3cedc49ca Merged revisions 56753-56781 via svnmerge from Guido van Rossum <guido@python.org> parents: 41717 diff changeset	184 # in the last few bits will lead to very confusing
3fc3cedc49ca Merged revisions 56753-56781 via svnmerge from Guido van Rossum <guido@python.org> parents: 41717 diff changeset	185 # error messages
3fc3cedc49ca Merged revisions 56753-56781 via svnmerge from Guido van Rossum <guido@python.org> parents: 41717 diff changeset	186 self.fail('%s returned %r, expected %r' %
40450 cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	187 (name, value, expected))
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	188
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	189 def testConstants(self):
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	190 self.ftest('pi', math.pi, 3.1415926)
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	191 self.ftest('e', math.e, 2.7182818)
3950 75d016c97d1c Added test for math module Guido van Rossum <guido@python.org> parents: diff changeset	192
40450 cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	193 def testAcos(self):
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	194 self.assertRaises(TypeError, math.acos)
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	195 self.ftest('acos(-1)', math.acos(-1), math.pi)
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	196 self.ftest('acos(0)', math.acos(0), math.pi/2)
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	197 self.ftest('acos(1)', math.acos(1), 0)
46477 b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	198 self.assertRaises(ValueError, math.acos, INF)
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	199 self.assertRaises(ValueError, math.acos, NINF)
55593 0bb232078b8c Merged revisions 73715 via svnmerge from Georg Brandl <georg@python.org> parents: 53352 diff changeset	200 self.assertTrue(math.isnan(math.acos(NAN)))
46477 b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	201
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	202 def testAcosh(self):
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	203 self.assertRaises(TypeError, math.acosh)
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	204 self.ftest('acosh(1)', math.acosh(1), 0)
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	205 self.ftest('acosh(2)', math.acosh(2), 1.3169578969248168)
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	206 self.assertRaises(ValueError, math.acosh, 0)
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	207 self.assertRaises(ValueError, math.acosh, -1)
66340 2beb25369289 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 61542 diff changeset	208 self.assertEqual(math.acosh(INF), INF)
46477 b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	209 self.assertRaises(ValueError, math.acosh, NINF)
55593 0bb232078b8c Merged revisions 73715 via svnmerge from Georg Brandl <georg@python.org> parents: 53352 diff changeset	210 self.assertTrue(math.isnan(math.acosh(NAN)))
3950 75d016c97d1c Added test for math module Guido van Rossum <guido@python.org> parents: diff changeset	211
40450 cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	212 def testAsin(self):
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	213 self.assertRaises(TypeError, math.asin)
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	214 self.ftest('asin(-1)', math.asin(-1), -math.pi/2)
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	215 self.ftest('asin(0)', math.asin(0), 0)
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	216 self.ftest('asin(1)', math.asin(1), math.pi/2)
46477 b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	217 self.assertRaises(ValueError, math.asin, INF)
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	218 self.assertRaises(ValueError, math.asin, NINF)
55593 0bb232078b8c Merged revisions 73715 via svnmerge from Georg Brandl <georg@python.org> parents: 53352 diff changeset	219 self.assertTrue(math.isnan(math.asin(NAN)))
46477 b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	220
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	221 def testAsinh(self):
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	222 self.assertRaises(TypeError, math.asinh)
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	223 self.ftest('asinh(0)', math.asinh(0), 0)
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	224 self.ftest('asinh(1)', math.asinh(1), 0.88137358701954305)
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	225 self.ftest('asinh(-1)', math.asinh(-1), -0.88137358701954305)
66340 2beb25369289 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 61542 diff changeset	226 self.assertEqual(math.asinh(INF), INF)
2beb25369289 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 61542 diff changeset	227 self.assertEqual(math.asinh(NINF), NINF)
55593 0bb232078b8c Merged revisions 73715 via svnmerge from Georg Brandl <georg@python.org> parents: 53352 diff changeset	228 self.assertTrue(math.isnan(math.asinh(NAN)))
3950 75d016c97d1c Added test for math module Guido van Rossum <guido@python.org> parents: diff changeset	229
40450 cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	230 def testAtan(self):
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	231 self.assertRaises(TypeError, math.atan)
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	232 self.ftest('atan(-1)', math.atan(-1), -math.pi/4)
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	233 self.ftest('atan(0)', math.atan(0), 0)
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	234 self.ftest('atan(1)', math.atan(1), math.pi/4)
46477 b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	235 self.ftest('atan(inf)', math.atan(INF), math.pi/2)
46505 63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	236 self.ftest('atan(-inf)', math.atan(NINF), -math.pi/2)
55593 0bb232078b8c Merged revisions 73715 via svnmerge from Georg Brandl <georg@python.org> parents: 53352 diff changeset	237 self.assertTrue(math.isnan(math.atan(NAN)))
46477 b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	238
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	239 def testAtanh(self):
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	240 self.assertRaises(TypeError, math.atan)
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	241 self.ftest('atanh(0)', math.atanh(0), 0)
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	242 self.ftest('atanh(0.5)', math.atanh(0.5), 0.54930614433405489)
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	243 self.ftest('atanh(-0.5)', math.atanh(-0.5), -0.54930614433405489)
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	244 self.assertRaises(ValueError, math.atanh, 1)
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	245 self.assertRaises(ValueError, math.atanh, -1)
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	246 self.assertRaises(ValueError, math.atanh, INF)
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	247 self.assertRaises(ValueError, math.atanh, NINF)
55593 0bb232078b8c Merged revisions 73715 via svnmerge from Georg Brandl <georg@python.org> parents: 53352 diff changeset	248 self.assertTrue(math.isnan(math.atanh(NAN)))
3950 75d016c97d1c Added test for math module Guido van Rossum <guido@python.org> parents: diff changeset	249
40450 cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	250 def testAtan2(self):
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	251 self.assertRaises(TypeError, math.atan2)
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	252 self.ftest('atan2(-1, 0)', math.atan2(-1, 0), -math.pi/2)
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	253 self.ftest('atan2(-1, 1)', math.atan2(-1, 1), -math.pi/4)
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	254 self.ftest('atan2(0, 1)', math.atan2(0, 1), 0)
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	255 self.ftest('atan2(1, 1)', math.atan2(1, 1), math.pi/4)
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	256 self.ftest('atan2(1, 0)', math.atan2(1, 0), math.pi/2)
3950 75d016c97d1c Added test for math module Guido van Rossum <guido@python.org> parents: diff changeset	257
46516 ec48490b969a Merged revisions 62420-62421,62423-62424 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46505 diff changeset	258 # math.atan2(0, x)
ec48490b969a Merged revisions 62420-62421,62423-62424 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46505 diff changeset	259 self.ftest('atan2(0., -inf)', math.atan2(0., NINF), math.pi)
ec48490b969a Merged revisions 62420-62421,62423-62424 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46505 diff changeset	260 self.ftest('atan2(0., -2.3)', math.atan2(0., -2.3), math.pi)
ec48490b969a Merged revisions 62420-62421,62423-62424 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46505 diff changeset	261 self.ftest('atan2(0., -0.)', math.atan2(0., -0.), math.pi)
ec48490b969a Merged revisions 62420-62421,62423-62424 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46505 diff changeset	262 self.assertEqual(math.atan2(0., 0.), 0.)
ec48490b969a Merged revisions 62420-62421,62423-62424 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46505 diff changeset	263 self.assertEqual(math.atan2(0., 2.3), 0.)
ec48490b969a Merged revisions 62420-62421,62423-62424 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46505 diff changeset	264 self.assertEqual(math.atan2(0., INF), 0.)
55593 0bb232078b8c Merged revisions 73715 via svnmerge from Georg Brandl <georg@python.org> parents: 53352 diff changeset	265 self.assertTrue(math.isnan(math.atan2(0., NAN)))
46516 ec48490b969a Merged revisions 62420-62421,62423-62424 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46505 diff changeset	266 # math.atan2(-0, x)
ec48490b969a Merged revisions 62420-62421,62423-62424 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46505 diff changeset	267 self.ftest('atan2(-0., -inf)', math.atan2(-0., NINF), -math.pi)
ec48490b969a Merged revisions 62420-62421,62423-62424 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46505 diff changeset	268 self.ftest('atan2(-0., -2.3)', math.atan2(-0., -2.3), -math.pi)
ec48490b969a Merged revisions 62420-62421,62423-62424 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46505 diff changeset	269 self.ftest('atan2(-0., -0.)', math.atan2(-0., -0.), -math.pi)
ec48490b969a Merged revisions 62420-62421,62423-62424 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46505 diff changeset	270 self.assertEqual(math.atan2(-0., 0.), -0.)
ec48490b969a Merged revisions 62420-62421,62423-62424 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46505 diff changeset	271 self.assertEqual(math.atan2(-0., 2.3), -0.)
ec48490b969a Merged revisions 62420-62421,62423-62424 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46505 diff changeset	272 self.assertEqual(math.atan2(-0., INF), -0.)
55593 0bb232078b8c Merged revisions 73715 via svnmerge from Georg Brandl <georg@python.org> parents: 53352 diff changeset	273 self.assertTrue(math.isnan(math.atan2(-0., NAN)))
46516 ec48490b969a Merged revisions 62420-62421,62423-62424 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46505 diff changeset	274 # math.atan2(INF, x)
ec48490b969a Merged revisions 62420-62421,62423-62424 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46505 diff changeset	275 self.ftest('atan2(inf, -inf)', math.atan2(INF, NINF), math.pi*3/4)
ec48490b969a Merged revisions 62420-62421,62423-62424 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46505 diff changeset	276 self.ftest('atan2(inf, -2.3)', math.atan2(INF, -2.3), math.pi/2)
ec48490b969a Merged revisions 62420-62421,62423-62424 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46505 diff changeset	277 self.ftest('atan2(inf, -0.)', math.atan2(INF, -0.0), math.pi/2)
ec48490b969a Merged revisions 62420-62421,62423-62424 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46505 diff changeset	278 self.ftest('atan2(inf, 0.)', math.atan2(INF, 0.0), math.pi/2)
ec48490b969a Merged revisions 62420-62421,62423-62424 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46505 diff changeset	279 self.ftest('atan2(inf, 2.3)', math.atan2(INF, 2.3), math.pi/2)
ec48490b969a Merged revisions 62420-62421,62423-62424 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46505 diff changeset	280 self.ftest('atan2(inf, inf)', math.atan2(INF, INF), math.pi/4)
55593 0bb232078b8c Merged revisions 73715 via svnmerge from Georg Brandl <georg@python.org> parents: 53352 diff changeset	281 self.assertTrue(math.isnan(math.atan2(INF, NAN)))
46516 ec48490b969a Merged revisions 62420-62421,62423-62424 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46505 diff changeset	282 # math.atan2(NINF, x)
ec48490b969a Merged revisions 62420-62421,62423-62424 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46505 diff changeset	283 self.ftest('atan2(-inf, -inf)', math.atan2(NINF, NINF), -math.pi*3/4)
ec48490b969a Merged revisions 62420-62421,62423-62424 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46505 diff changeset	284 self.ftest('atan2(-inf, -2.3)', math.atan2(NINF, -2.3), -math.pi/2)
ec48490b969a Merged revisions 62420-62421,62423-62424 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46505 diff changeset	285 self.ftest('atan2(-inf, -0.)', math.atan2(NINF, -0.0), -math.pi/2)
ec48490b969a Merged revisions 62420-62421,62423-62424 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46505 diff changeset	286 self.ftest('atan2(-inf, 0.)', math.atan2(NINF, 0.0), -math.pi/2)
ec48490b969a Merged revisions 62420-62421,62423-62424 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46505 diff changeset	287 self.ftest('atan2(-inf, 2.3)', math.atan2(NINF, 2.3), -math.pi/2)
ec48490b969a Merged revisions 62420-62421,62423-62424 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46505 diff changeset	288 self.ftest('atan2(-inf, inf)', math.atan2(NINF, INF), -math.pi/4)
55593 0bb232078b8c Merged revisions 73715 via svnmerge from Georg Brandl <georg@python.org> parents: 53352 diff changeset	289 self.assertTrue(math.isnan(math.atan2(NINF, NAN)))
46516 ec48490b969a Merged revisions 62420-62421,62423-62424 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46505 diff changeset	290 # math.atan2(+finite, x)
ec48490b969a Merged revisions 62420-62421,62423-62424 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46505 diff changeset	291 self.ftest('atan2(2.3, -inf)', math.atan2(2.3, NINF), math.pi)
ec48490b969a Merged revisions 62420-62421,62423-62424 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46505 diff changeset	292 self.ftest('atan2(2.3, -0.)', math.atan2(2.3, -0.), math.pi/2)
ec48490b969a Merged revisions 62420-62421,62423-62424 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46505 diff changeset	293 self.ftest('atan2(2.3, 0.)', math.atan2(2.3, 0.), math.pi/2)
ec48490b969a Merged revisions 62420-62421,62423-62424 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46505 diff changeset	294 self.assertEqual(math.atan2(2.3, INF), 0.)
55593 0bb232078b8c Merged revisions 73715 via svnmerge from Georg Brandl <georg@python.org> parents: 53352 diff changeset	295 self.assertTrue(math.isnan(math.atan2(2.3, NAN)))
46516 ec48490b969a Merged revisions 62420-62421,62423-62424 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46505 diff changeset	296 # math.atan2(-finite, x)
ec48490b969a Merged revisions 62420-62421,62423-62424 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46505 diff changeset	297 self.ftest('atan2(-2.3, -inf)', math.atan2(-2.3, NINF), -math.pi)
ec48490b969a Merged revisions 62420-62421,62423-62424 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46505 diff changeset	298 self.ftest('atan2(-2.3, -0.)', math.atan2(-2.3, -0.), -math.pi/2)
ec48490b969a Merged revisions 62420-62421,62423-62424 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46505 diff changeset	299 self.ftest('atan2(-2.3, 0.)', math.atan2(-2.3, 0.), -math.pi/2)
ec48490b969a Merged revisions 62420-62421,62423-62424 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46505 diff changeset	300 self.assertEqual(math.atan2(-2.3, INF), -0.)
55593 0bb232078b8c Merged revisions 73715 via svnmerge from Georg Brandl <georg@python.org> parents: 53352 diff changeset	301 self.assertTrue(math.isnan(math.atan2(-2.3, NAN)))
46516 ec48490b969a Merged revisions 62420-62421,62423-62424 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46505 diff changeset	302 # math.atan2(NAN, x)
55593 0bb232078b8c Merged revisions 73715 via svnmerge from Georg Brandl <georg@python.org> parents: 53352 diff changeset	303 self.assertTrue(math.isnan(math.atan2(NAN, NINF)))
0bb232078b8c Merged revisions 73715 via svnmerge from Georg Brandl <georg@python.org> parents: 53352 diff changeset	304 self.assertTrue(math.isnan(math.atan2(NAN, -2.3)))
0bb232078b8c Merged revisions 73715 via svnmerge from Georg Brandl <georg@python.org> parents: 53352 diff changeset	305 self.assertTrue(math.isnan(math.atan2(NAN, -0.)))
0bb232078b8c Merged revisions 73715 via svnmerge from Georg Brandl <georg@python.org> parents: 53352 diff changeset	306 self.assertTrue(math.isnan(math.atan2(NAN, 0.)))
0bb232078b8c Merged revisions 73715 via svnmerge from Georg Brandl <georg@python.org> parents: 53352 diff changeset	307 self.assertTrue(math.isnan(math.atan2(NAN, 2.3)))
0bb232078b8c Merged revisions 73715 via svnmerge from Georg Brandl <georg@python.org> parents: 53352 diff changeset	308 self.assertTrue(math.isnan(math.atan2(NAN, INF)))
0bb232078b8c Merged revisions 73715 via svnmerge from Georg Brandl <georg@python.org> parents: 53352 diff changeset	309 self.assertTrue(math.isnan(math.atan2(NAN, NAN)))
46516 ec48490b969a Merged revisions 62420-62421,62423-62424 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46505 diff changeset	310
40450 cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	311 def testCeil(self):
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	312 self.assertRaises(TypeError, math.ceil)
66340 2beb25369289 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 61542 diff changeset	313 self.assertEqual(int, type(math.ceil(0.5)))
40450 cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	314 self.ftest('ceil(0.5)', math.ceil(0.5), 1)
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	315 self.ftest('ceil(1.0)', math.ceil(1.0), 1)
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	316 self.ftest('ceil(1.5)', math.ceil(1.5), 2)
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	317 self.ftest('ceil(-0.5)', math.ceil(-0.5), 0)
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	318 self.ftest('ceil(-1.0)', math.ceil(-1.0), -1)
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	319 self.ftest('ceil(-1.5)', math.ceil(-1.5), -1)
66340 2beb25369289 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 61542 diff changeset	320 #self.assertEqual(math.ceil(INF), INF)
2beb25369289 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 61542 diff changeset	321 #self.assertEqual(math.ceil(NINF), NINF)
55593 0bb232078b8c Merged revisions 73715 via svnmerge from Georg Brandl <georg@python.org> parents: 53352 diff changeset	322 #self.assertTrue(math.isnan(math.ceil(NAN)))
3950 75d016c97d1c Added test for math module Guido van Rossum <guido@python.org> parents: diff changeset	323
42754 1c98b445d847 Fix math.ceil() and math.floor() to fall back to __ceil__ and __floor__ Guido van Rossum <guido@python.org> parents: 42466 diff changeset	324 class TestCeil:
1c98b445d847 Fix math.ceil() and math.floor() to fall back to __ceil__ and __floor__ Guido van Rossum <guido@python.org> parents: 42466 diff changeset	325 def __ceil__(self):
1c98b445d847 Fix math.ceil() and math.floor() to fall back to __ceil__ and __floor__ Guido van Rossum <guido@python.org> parents: 42466 diff changeset	326 return 42
1c98b445d847 Fix math.ceil() and math.floor() to fall back to __ceil__ and __floor__ Guido van Rossum <guido@python.org> parents: 42466 diff changeset	327 class TestNoCeil:
1c98b445d847 Fix math.ceil() and math.floor() to fall back to __ceil__ and __floor__ Guido van Rossum <guido@python.org> parents: 42466 diff changeset	328 pass
1c98b445d847 Fix math.ceil() and math.floor() to fall back to __ceil__ and __floor__ Guido van Rossum <guido@python.org> parents: 42466 diff changeset	329 self.ftest('ceil(TestCeil())', math.ceil(TestCeil()), 42)
1c98b445d847 Fix math.ceil() and math.floor() to fall back to __ceil__ and __floor__ Guido van Rossum <guido@python.org> parents: 42466 diff changeset	330 self.assertRaises(TypeError, math.ceil, TestNoCeil())
1c98b445d847 Fix math.ceil() and math.floor() to fall back to __ceil__ and __floor__ Guido van Rossum <guido@python.org> parents: 42466 diff changeset	331
1c98b445d847 Fix math.ceil() and math.floor() to fall back to __ceil__ and __floor__ Guido van Rossum <guido@python.org> parents: 42466 diff changeset	332 t = TestNoCeil()
1c98b445d847 Fix math.ceil() and math.floor() to fall back to __ceil__ and __floor__ Guido van Rossum <guido@python.org> parents: 42466 diff changeset	333 t.__ceil__ = lambda *args: args
1c98b445d847 Fix math.ceil() and math.floor() to fall back to __ceil__ and __floor__ Guido van Rossum <guido@python.org> parents: 42466 diff changeset	334 self.assertRaises(TypeError, math.ceil, t)
1c98b445d847 Fix math.ceil() and math.floor() to fall back to __ceil__ and __floor__ Guido van Rossum <guido@python.org> parents: 42466 diff changeset	335 self.assertRaises(TypeError, math.ceil, t, 0)
1c98b445d847 Fix math.ceil() and math.floor() to fall back to __ceil__ and __floor__ Guido van Rossum <guido@python.org> parents: 42466 diff changeset	336
56091 b0e5105ff97b Merged revisions 74925 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 55593 diff changeset	337 @requires_IEEE_754
b0e5105ff97b Merged revisions 74925 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 55593 diff changeset	338 def testCopysign(self):
58769 0b42e1aa4a8b Merged revisions 78041 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 57758 diff changeset	339 self.assertEqual(math.copysign(1, 42), 1.0)
0b42e1aa4a8b Merged revisions 78041 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 57758 diff changeset	340 self.assertEqual(math.copysign(0., 42), 0.0)
0b42e1aa4a8b Merged revisions 78041 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 57758 diff changeset	341 self.assertEqual(math.copysign(1., -42), -1.0)
0b42e1aa4a8b Merged revisions 78041 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 57758 diff changeset	342 self.assertEqual(math.copysign(3, 0.), 3.0)
0b42e1aa4a8b Merged revisions 78041 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 57758 diff changeset	343 self.assertEqual(math.copysign(4., -0.), -4.0)
58771 a2ab26c5f08b Merged revisions 78045 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 55593 diff changeset	344
56091 b0e5105ff97b Merged revisions 74925 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 55593 diff changeset	345 self.assertRaises(TypeError, math.copysign)
b0e5105ff97b Merged revisions 74925 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 55593 diff changeset	346 # copysign should let us distinguish signs of zeros
66310 9fe76c26ea9f #9424: Replace deprecated assert* methods in the Python test suite. Ezio Melotti <ezio.melotti@gmail.com> parents: 66064 diff changeset	347 self.assertEqual(math.copysign(1., 0.), 1.)
9fe76c26ea9f #9424: Replace deprecated assert* methods in the Python test suite. Ezio Melotti <ezio.melotti@gmail.com> parents: 66064 diff changeset	348 self.assertEqual(math.copysign(1., -0.), -1.)
9fe76c26ea9f #9424: Replace deprecated assert* methods in the Python test suite. Ezio Melotti <ezio.melotti@gmail.com> parents: 66064 diff changeset	349 self.assertEqual(math.copysign(INF, 0.), INF)
9fe76c26ea9f #9424: Replace deprecated assert* methods in the Python test suite. Ezio Melotti <ezio.melotti@gmail.com> parents: 66064 diff changeset	350 self.assertEqual(math.copysign(INF, -0.), NINF)
9fe76c26ea9f #9424: Replace deprecated assert* methods in the Python test suite. Ezio Melotti <ezio.melotti@gmail.com> parents: 66064 diff changeset	351 self.assertEqual(math.copysign(NINF, 0.), INF)
9fe76c26ea9f #9424: Replace deprecated assert* methods in the Python test suite. Ezio Melotti <ezio.melotti@gmail.com> parents: 66064 diff changeset	352 self.assertEqual(math.copysign(NINF, -0.), NINF)
56091 b0e5105ff97b Merged revisions 74925 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 55593 diff changeset	353 # and of infinities
66310 9fe76c26ea9f #9424: Replace deprecated assert* methods in the Python test suite. Ezio Melotti <ezio.melotti@gmail.com> parents: 66064 diff changeset	354 self.assertEqual(math.copysign(1., INF), 1.)
9fe76c26ea9f #9424: Replace deprecated assert* methods in the Python test suite. Ezio Melotti <ezio.melotti@gmail.com> parents: 66064 diff changeset	355 self.assertEqual(math.copysign(1., NINF), -1.)
9fe76c26ea9f #9424: Replace deprecated assert* methods in the Python test suite. Ezio Melotti <ezio.melotti@gmail.com> parents: 66064 diff changeset	356 self.assertEqual(math.copysign(INF, INF), INF)
9fe76c26ea9f #9424: Replace deprecated assert* methods in the Python test suite. Ezio Melotti <ezio.melotti@gmail.com> parents: 66064 diff changeset	357 self.assertEqual(math.copysign(INF, NINF), NINF)
9fe76c26ea9f #9424: Replace deprecated assert* methods in the Python test suite. Ezio Melotti <ezio.melotti@gmail.com> parents: 66064 diff changeset	358 self.assertEqual(math.copysign(NINF, INF), INF)
9fe76c26ea9f #9424: Replace deprecated assert* methods in the Python test suite. Ezio Melotti <ezio.melotti@gmail.com> parents: 66064 diff changeset	359 self.assertEqual(math.copysign(NINF, NINF), NINF)
58769 0b42e1aa4a8b Merged revisions 78041 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 57758 diff changeset	360 self.assertTrue(math.isnan(math.copysign(NAN, 1.)))
0b42e1aa4a8b Merged revisions 78041 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 57758 diff changeset	361 self.assertTrue(math.isnan(math.copysign(NAN, INF)))
0b42e1aa4a8b Merged revisions 78041 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 57758 diff changeset	362 self.assertTrue(math.isnan(math.copysign(NAN, NINF)))
0b42e1aa4a8b Merged revisions 78041 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 57758 diff changeset	363 self.assertTrue(math.isnan(math.copysign(NAN, NAN)))
56091 b0e5105ff97b Merged revisions 74925 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 55593 diff changeset	364 # copysign(INF, NAN) may be INF or it may be NINF, since
b0e5105ff97b Merged revisions 74925 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 55593 diff changeset	365 # we don't know whether the sign bit of NAN is set on any
b0e5105ff97b Merged revisions 74925 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 55593 diff changeset	366 # given platform.
58769 0b42e1aa4a8b Merged revisions 78041 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 57758 diff changeset	367 self.assertTrue(math.isinf(math.copysign(INF, NAN)))
56091 b0e5105ff97b Merged revisions 74925 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 55593 diff changeset	368 # similarly, copysign(2., NAN) could be 2. or -2.
66310 9fe76c26ea9f #9424: Replace deprecated assert* methods in the Python test suite. Ezio Melotti <ezio.melotti@gmail.com> parents: 66064 diff changeset	369 self.assertEqual(abs(math.copysign(2., NAN)), 2.)
46477 b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	370
40450 cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	371 def testCos(self):
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	372 self.assertRaises(TypeError, math.cos)
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	373 self.ftest('cos(-pi/2)', math.cos(-math.pi/2), 0)
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	374 self.ftest('cos(0)', math.cos(0), 1)
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	375 self.ftest('cos(pi/2)', math.cos(math.pi/2), 0)
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	376 self.ftest('cos(pi)', math.cos(math.pi), -1)
46477 b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	377 try:
55593 0bb232078b8c Merged revisions 73715 via svnmerge from Georg Brandl <georg@python.org> parents: 53352 diff changeset	378 self.assertTrue(math.isnan(math.cos(INF)))
0bb232078b8c Merged revisions 73715 via svnmerge from Georg Brandl <georg@python.org> parents: 53352 diff changeset	379 self.assertTrue(math.isnan(math.cos(NINF)))
46477 b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	380 except ValueError:
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	381 self.assertRaises(ValueError, math.cos, INF)
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	382 self.assertRaises(ValueError, math.cos, NINF)
55593 0bb232078b8c Merged revisions 73715 via svnmerge from Georg Brandl <georg@python.org> parents: 53352 diff changeset	383 self.assertTrue(math.isnan(math.cos(NAN)))
3950 75d016c97d1c Added test for math module Guido van Rossum <guido@python.org> parents: diff changeset	384
40450 cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	385 def testCosh(self):
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	386 self.assertRaises(TypeError, math.cosh)
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	387 self.ftest('cosh(0)', math.cosh(0), 1)
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	388 self.ftest('cosh(2)-2cosh(1)2', math.cosh(2)-2math.cosh(1)**2, -1) # Thanks to Lambert
66340 2beb25369289 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 61542 diff changeset	389 self.assertEqual(math.cosh(INF), INF)
2beb25369289 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 61542 diff changeset	390 self.assertEqual(math.cosh(NINF), INF)
55593 0bb232078b8c Merged revisions 73715 via svnmerge from Georg Brandl <georg@python.org> parents: 53352 diff changeset	391 self.assertTrue(math.isnan(math.cosh(NAN)))
3950 75d016c97d1c Added test for math module Guido van Rossum <guido@python.org> parents: diff changeset	392
40450 cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	393 def testDegrees(self):
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	394 self.assertRaises(TypeError, math.degrees)
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	395 self.ftest('degrees(pi)', math.degrees(math.pi), 180.0)
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	396 self.ftest('degrees(pi/2)', math.degrees(math.pi/2), 90.0)
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	397 self.ftest('degrees(-pi/4)', math.degrees(-math.pi/4), -45.0)
23426 1157281f00a0 Adds tests for degrees() and radians() functions added to mathmodule. Raymond Hettinger <python@rcn.com> parents: 19750 diff changeset	398
40450 cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	399 def testExp(self):
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	400 self.assertRaises(TypeError, math.exp)
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	401 self.ftest('exp(-1)', math.exp(-1), 1/math.e)
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	402 self.ftest('exp(0)', math.exp(0), 1)
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	403 self.ftest('exp(1)', math.exp(1), math.e)
66340 2beb25369289 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 61542 diff changeset	404 self.assertEqual(math.exp(INF), INF)
2beb25369289 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 61542 diff changeset	405 self.assertEqual(math.exp(NINF), 0.)
55593 0bb232078b8c Merged revisions 73715 via svnmerge from Georg Brandl <georg@python.org> parents: 53352 diff changeset	406 self.assertTrue(math.isnan(math.exp(NAN)))
3950 75d016c97d1c Added test for math module Guido van Rossum <guido@python.org> parents: diff changeset	407
40450 cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	408 def testFabs(self):
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	409 self.assertRaises(TypeError, math.fabs)
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	410 self.ftest('fabs(-1)', math.fabs(-1), 1)
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	411 self.ftest('fabs(0)', math.fabs(0), 0)
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	412 self.ftest('fabs(1)', math.fabs(1), 1)
3950 75d016c97d1c Added test for math module Guido van Rossum <guido@python.org> parents: diff changeset	413
47562 bd584f121c4b Merged revisions 64002-64003,64012,64036-64037,64047,64050-64052,64054-64055,64066,64071 via svnmerge from Georg Brandl <georg@python.org> parents: 47559 diff changeset	414 def testFactorial(self):
61599 1e149b50aca6 Issue #8692: Improve performance of math.factorial: Mark Dickinson <dickinsm@gmail.com> parents: 61540 diff changeset	415 self.assertEqual(math.factorial(0), 1)
1e149b50aca6 Issue #8692: Improve performance of math.factorial: Mark Dickinson <dickinsm@gmail.com> parents: 61540 diff changeset	416 self.assertEqual(math.factorial(0.0), 1)
1e149b50aca6 Issue #8692: Improve performance of math.factorial: Mark Dickinson <dickinsm@gmail.com> parents: 61540 diff changeset	417 total = 1
1e149b50aca6 Issue #8692: Improve performance of math.factorial: Mark Dickinson <dickinsm@gmail.com> parents: 61540 diff changeset	418 for i in range(1, 1000):
1e149b50aca6 Issue #8692: Improve performance of math.factorial: Mark Dickinson <dickinsm@gmail.com> parents: 61540 diff changeset	419 total *= i
1e149b50aca6 Issue #8692: Improve performance of math.factorial: Mark Dickinson <dickinsm@gmail.com> parents: 61540 diff changeset	420 self.assertEqual(math.factorial(i), total)
1e149b50aca6 Issue #8692: Improve performance of math.factorial: Mark Dickinson <dickinsm@gmail.com> parents: 61540 diff changeset	421 self.assertEqual(math.factorial(float(i)), total)
1e149b50aca6 Issue #8692: Improve performance of math.factorial: Mark Dickinson <dickinsm@gmail.com> parents: 61540 diff changeset	422 self.assertEqual(math.factorial(i), py_factorial(i))
47562 bd584f121c4b Merged revisions 64002-64003,64012,64036-64037,64047,64050-64052,64054-64055,64066,64071 via svnmerge from Georg Brandl <georg@python.org> parents: 47559 diff changeset	423 self.assertRaises(ValueError, math.factorial, -1)
61599 1e149b50aca6 Issue #8692: Improve performance of math.factorial: Mark Dickinson <dickinsm@gmail.com> parents: 61540 diff changeset	424 self.assertRaises(ValueError, math.factorial, -1.0)
47562 bd584f121c4b Merged revisions 64002-64003,64012,64036-64037,64047,64050-64052,64054-64055,64066,64071 via svnmerge from Georg Brandl <georg@python.org> parents: 47559 diff changeset	425 self.assertRaises(ValueError, math.factorial, math.pi)
61599 1e149b50aca6 Issue #8692: Improve performance of math.factorial: Mark Dickinson <dickinsm@gmail.com> parents: 61540 diff changeset	426 self.assertRaises(OverflowError, math.factorial, sys.maxsize+1)
1e149b50aca6 Issue #8692: Improve performance of math.factorial: Mark Dickinson <dickinsm@gmail.com> parents: 61540 diff changeset	427 self.assertRaises(OverflowError, math.factorial, 10e100)
47562 bd584f121c4b Merged revisions 64002-64003,64012,64036-64037,64047,64050-64052,64054-64055,64066,64071 via svnmerge from Georg Brandl <georg@python.org> parents: 47559 diff changeset	428
40450 cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	429 def testFloor(self):
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	430 self.assertRaises(TypeError, math.floor)
66340 2beb25369289 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 61542 diff changeset	431 self.assertEqual(int, type(math.floor(0.5)))
40450 cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	432 self.ftest('floor(0.5)', math.floor(0.5), 0)
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	433 self.ftest('floor(1.0)', math.floor(1.0), 1)
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	434 self.ftest('floor(1.5)', math.floor(1.5), 1)
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	435 self.ftest('floor(-0.5)', math.floor(-0.5), -1)
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	436 self.ftest('floor(-1.0)', math.floor(-1.0), -1)
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	437 self.ftest('floor(-1.5)', math.floor(-1.5), -2)
42466 3fc3cedc49ca Merged revisions 56753-56781 via svnmerge from Guido van Rossum <guido@python.org> parents: 41717 diff changeset	438 # pow() relies on floor() to check for integers
3fc3cedc49ca Merged revisions 56753-56781 via svnmerge from Guido van Rossum <guido@python.org> parents: 41717 diff changeset	439 # This fails on some platforms - so check it here
3fc3cedc49ca Merged revisions 56753-56781 via svnmerge from Guido van Rossum <guido@python.org> parents: 41717 diff changeset	440 self.ftest('floor(1.23e167)', math.floor(1.23e167), 1.23e167)
3fc3cedc49ca Merged revisions 56753-56781 via svnmerge from Guido van Rossum <guido@python.org> parents: 41717 diff changeset	441 self.ftest('floor(-1.23e167)', math.floor(-1.23e167), -1.23e167)
66340 2beb25369289 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 61542 diff changeset	442 #self.assertEqual(math.ceil(INF), INF)
2beb25369289 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 61542 diff changeset	443 #self.assertEqual(math.ceil(NINF), NINF)
55593 0bb232078b8c Merged revisions 73715 via svnmerge from Georg Brandl <georg@python.org> parents: 53352 diff changeset	444 #self.assertTrue(math.isnan(math.floor(NAN)))
40450 cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	445
42754 1c98b445d847 Fix math.ceil() and math.floor() to fall back to __ceil__ and __floor__ Guido van Rossum <guido@python.org> parents: 42466 diff changeset	446 class TestFloor:
1c98b445d847 Fix math.ceil() and math.floor() to fall back to __ceil__ and __floor__ Guido van Rossum <guido@python.org> parents: 42466 diff changeset	447 def __floor__(self):
1c98b445d847 Fix math.ceil() and math.floor() to fall back to __ceil__ and __floor__ Guido van Rossum <guido@python.org> parents: 42466 diff changeset	448 return 42
1c98b445d847 Fix math.ceil() and math.floor() to fall back to __ceil__ and __floor__ Guido van Rossum <guido@python.org> parents: 42466 diff changeset	449 class TestNoFloor:
1c98b445d847 Fix math.ceil() and math.floor() to fall back to __ceil__ and __floor__ Guido van Rossum <guido@python.org> parents: 42466 diff changeset	450 pass
1c98b445d847 Fix math.ceil() and math.floor() to fall back to __ceil__ and __floor__ Guido van Rossum <guido@python.org> parents: 42466 diff changeset	451 self.ftest('floor(TestFloor())', math.floor(TestFloor()), 42)
1c98b445d847 Fix math.ceil() and math.floor() to fall back to __ceil__ and __floor__ Guido van Rossum <guido@python.org> parents: 42466 diff changeset	452 self.assertRaises(TypeError, math.floor, TestNoFloor())
1c98b445d847 Fix math.ceil() and math.floor() to fall back to __ceil__ and __floor__ Guido van Rossum <guido@python.org> parents: 42466 diff changeset	453
1c98b445d847 Fix math.ceil() and math.floor() to fall back to __ceil__ and __floor__ Guido van Rossum <guido@python.org> parents: 42466 diff changeset	454 t = TestNoFloor()
1c98b445d847 Fix math.ceil() and math.floor() to fall back to __ceil__ and __floor__ Guido van Rossum <guido@python.org> parents: 42466 diff changeset	455 t.__floor__ = lambda *args: args
1c98b445d847 Fix math.ceil() and math.floor() to fall back to __ceil__ and __floor__ Guido van Rossum <guido@python.org> parents: 42466 diff changeset	456 self.assertRaises(TypeError, math.floor, t)
1c98b445d847 Fix math.ceil() and math.floor() to fall back to __ceil__ and __floor__ Guido van Rossum <guido@python.org> parents: 42466 diff changeset	457 self.assertRaises(TypeError, math.floor, t, 0)
1c98b445d847 Fix math.ceil() and math.floor() to fall back to __ceil__ and __floor__ Guido van Rossum <guido@python.org> parents: 42466 diff changeset	458
40450 cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	459 def testFmod(self):
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	460 self.assertRaises(TypeError, math.fmod)
69814 21e2e06fea4a test_math.py: Use correct signs on zeros for expected fmod results. Mark Dickinson <mdickinson@enthought.com> parents: 69813 diff changeset	461 self.ftest('fmod(10, 1)', math.fmod(10, 1), 0.0)
21e2e06fea4a test_math.py: Use correct signs on zeros for expected fmod results. Mark Dickinson <mdickinson@enthought.com> parents: 69813 diff changeset	462 self.ftest('fmod(10, 0.5)', math.fmod(10, 0.5), 0.0)
21e2e06fea4a test_math.py: Use correct signs on zeros for expected fmod results. Mark Dickinson <mdickinson@enthought.com> parents: 69813 diff changeset	463 self.ftest('fmod(10, 1.5)', math.fmod(10, 1.5), 1.0)
21e2e06fea4a test_math.py: Use correct signs on zeros for expected fmod results. Mark Dickinson <mdickinson@enthought.com> parents: 69813 diff changeset	464 self.ftest('fmod(-10, 1)', math.fmod(-10, 1), -0.0)
21e2e06fea4a test_math.py: Use correct signs on zeros for expected fmod results. Mark Dickinson <mdickinson@enthought.com> parents: 69813 diff changeset	465 self.ftest('fmod(-10, 0.5)', math.fmod(-10, 0.5), -0.0)
21e2e06fea4a test_math.py: Use correct signs on zeros for expected fmod results. Mark Dickinson <mdickinson@enthought.com> parents: 69813 diff changeset	466 self.ftest('fmod(-10, 1.5)', math.fmod(-10, 1.5), -1.0)
55593 0bb232078b8c Merged revisions 73715 via svnmerge from Georg Brandl <georg@python.org> parents: 53352 diff changeset	467 self.assertTrue(math.isnan(math.fmod(NAN, 1.)))
0bb232078b8c Merged revisions 73715 via svnmerge from Georg Brandl <georg@python.org> parents: 53352 diff changeset	468 self.assertTrue(math.isnan(math.fmod(1., NAN)))
0bb232078b8c Merged revisions 73715 via svnmerge from Georg Brandl <georg@python.org> parents: 53352 diff changeset	469 self.assertTrue(math.isnan(math.fmod(NAN, NAN)))
46477 b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	470 self.assertRaises(ValueError, math.fmod, 1., 0.)
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	471 self.assertRaises(ValueError, math.fmod, INF, 1.)
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	472 self.assertRaises(ValueError, math.fmod, NINF, 1.)
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	473 self.assertRaises(ValueError, math.fmod, INF, 0.)
66340 2beb25369289 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 61542 diff changeset	474 self.assertEqual(math.fmod(3.0, INF), 3.0)
2beb25369289 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 61542 diff changeset	475 self.assertEqual(math.fmod(-3.0, INF), -3.0)
2beb25369289 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 61542 diff changeset	476 self.assertEqual(math.fmod(3.0, NINF), 3.0)
2beb25369289 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 61542 diff changeset	477 self.assertEqual(math.fmod(-3.0, NINF), -3.0)
2beb25369289 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 61542 diff changeset	478 self.assertEqual(math.fmod(0.0, 3.0), 0.0)
2beb25369289 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 61542 diff changeset	479 self.assertEqual(math.fmod(0.0, NINF), 0.0)
3950 75d016c97d1c Added test for math module Guido van Rossum <guido@python.org> parents: diff changeset	480
40450 cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	481 def testFrexp(self):
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	482 self.assertRaises(TypeError, math.frexp)
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	483
41717 9ad84070b22d Merged revisions 55328-55341 via svnmerge from Guido van Rossum <guido@python.org> parents: 40450 diff changeset	484 def testfrexp(name, result, expected):
9ad84070b22d Merged revisions 55328-55341 via svnmerge from Guido van Rossum <guido@python.org> parents: 40450 diff changeset	485 (mant, exp), (emant, eexp) = result, expected
40450 cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	486 if abs(mant-emant) > eps or exp != eexp:
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	487 self.fail('%s returned %r, expected %r'%\
41717 9ad84070b22d Merged revisions 55328-55341 via svnmerge from Guido van Rossum <guido@python.org> parents: 40450 diff changeset	488 (name, result, expected))
3950 75d016c97d1c Added test for math module Guido van Rossum <guido@python.org> parents: diff changeset	489
40450 cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	490 testfrexp('frexp(-1)', math.frexp(-1), (-0.5, 1))
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	491 testfrexp('frexp(0)', math.frexp(0), (0, 0))
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	492 testfrexp('frexp(1)', math.frexp(1), (0.5, 1))
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	493 testfrexp('frexp(2)', math.frexp(2), (0.5, 2))
3950 75d016c97d1c Added test for math module Guido van Rossum <guido@python.org> parents: diff changeset	494
66340 2beb25369289 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 61542 diff changeset	495 self.assertEqual(math.frexp(INF)[0], INF)
2beb25369289 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 61542 diff changeset	496 self.assertEqual(math.frexp(NINF)[0], NINF)
55593 0bb232078b8c Merged revisions 73715 via svnmerge from Georg Brandl <georg@python.org> parents: 53352 diff changeset	497 self.assertTrue(math.isnan(math.frexp(NAN)[0]))
46477 b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	498
56091 b0e5105ff97b Merged revisions 74925 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 55593 diff changeset	499 @requires_IEEE_754
53352 54b4489f1c28 Merged revisions 71837-71838 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 48606 diff changeset	500 @unittest.skipIf(HAVE_DOUBLE_ROUNDING,
54b4489f1c28 Merged revisions 71837-71838 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 48606 diff changeset	501 "fsum is not exact on machines with double rounding")
48606 f121a963ab69 Merged revisions 65258,65292,65299,65308-65309,65315,65326 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 47562 diff changeset	502 def testFsum(self):
f121a963ab69 Merged revisions 65258,65292,65299,65308-65309,65315,65326 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 47562 diff changeset	503 # math.fsum relies on exact rounding for correct operation.
f121a963ab69 Merged revisions 65258,65292,65299,65308-65309,65315,65326 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 47562 diff changeset	504 # There's a known problem with IA32 floating-point that causes
f121a963ab69 Merged revisions 65258,65292,65299,65308-65309,65315,65326 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 47562 diff changeset	505 # inexact rounding in some situations, and will cause the
f121a963ab69 Merged revisions 65258,65292,65299,65308-65309,65315,65326 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 47562 diff changeset	506 # math.fsum tests below to fail; see issue #2937. On non IEEE
f121a963ab69 Merged revisions 65258,65292,65299,65308-65309,65315,65326 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 47562 diff changeset	507 # 754 platforms, and on IEEE 754 platforms that exhibit the
f121a963ab69 Merged revisions 65258,65292,65299,65308-65309,65315,65326 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 47562 diff changeset	508 # problem described in issue #2937, we simply skip the whole
f121a963ab69 Merged revisions 65258,65292,65299,65308-65309,65315,65326 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 47562 diff changeset	509 # test.
f121a963ab69 Merged revisions 65258,65292,65299,65308-65309,65315,65326 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 47562 diff changeset	510
f121a963ab69 Merged revisions 65258,65292,65299,65308-65309,65315,65326 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 47562 diff changeset	511 # Python version of math.fsum, for comparison. Uses a
f121a963ab69 Merged revisions 65258,65292,65299,65308-65309,65315,65326 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 47562 diff changeset	512 # different algorithm based on frexp, ldexp and integer
f121a963ab69 Merged revisions 65258,65292,65299,65308-65309,65315,65326 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 47562 diff changeset	513 # arithmetic.
f121a963ab69 Merged revisions 65258,65292,65299,65308-65309,65315,65326 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 47562 diff changeset	514 from sys import float_info
f121a963ab69 Merged revisions 65258,65292,65299,65308-65309,65315,65326 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 47562 diff changeset	515 mant_dig = float_info.mant_dig
f121a963ab69 Merged revisions 65258,65292,65299,65308-65309,65315,65326 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 47562 diff changeset	516 etiny = float_info.min_exp - mant_dig
f121a963ab69 Merged revisions 65258,65292,65299,65308-65309,65315,65326 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 47562 diff changeset	517
f121a963ab69 Merged revisions 65258,65292,65299,65308-65309,65315,65326 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 47562 diff changeset	518 def msum(iterable):
f121a963ab69 Merged revisions 65258,65292,65299,65308-65309,65315,65326 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 47562 diff changeset	519 """Full precision summation. Compute sum(iterable) without any
f121a963ab69 Merged revisions 65258,65292,65299,65308-65309,65315,65326 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 47562 diff changeset	520 intermediate accumulation of error. Based on the 'lsum' function
f121a963ab69 Merged revisions 65258,65292,65299,65308-65309,65315,65326 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 47562 diff changeset	521 at http://code.activestate.com/recipes/393090/
f121a963ab69 Merged revisions 65258,65292,65299,65308-65309,65315,65326 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 47562 diff changeset	522
f121a963ab69 Merged revisions 65258,65292,65299,65308-65309,65315,65326 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 47562 diff changeset	523 """
f121a963ab69 Merged revisions 65258,65292,65299,65308-65309,65315,65326 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 47562 diff changeset	524 tmant, texp = 0, 0
f121a963ab69 Merged revisions 65258,65292,65299,65308-65309,65315,65326 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 47562 diff changeset	525 for x in iterable:
f121a963ab69 Merged revisions 65258,65292,65299,65308-65309,65315,65326 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 47562 diff changeset	526 mant, exp = math.frexp(x)
f121a963ab69 Merged revisions 65258,65292,65299,65308-65309,65315,65326 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 47562 diff changeset	527 mant, exp = int(math.ldexp(mant, mant_dig)), exp - mant_dig
f121a963ab69 Merged revisions 65258,65292,65299,65308-65309,65315,65326 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 47562 diff changeset	528 if texp > exp:
f121a963ab69 Merged revisions 65258,65292,65299,65308-65309,65315,65326 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 47562 diff changeset	529 tmant <<= texp-exp
f121a963ab69 Merged revisions 65258,65292,65299,65308-65309,65315,65326 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 47562 diff changeset	530 texp = exp
f121a963ab69 Merged revisions 65258,65292,65299,65308-65309,65315,65326 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 47562 diff changeset	531 else:
f121a963ab69 Merged revisions 65258,65292,65299,65308-65309,65315,65326 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 47562 diff changeset	532 mant <<= exp-texp
f121a963ab69 Merged revisions 65258,65292,65299,65308-65309,65315,65326 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 47562 diff changeset	533 tmant += mant
f121a963ab69 Merged revisions 65258,65292,65299,65308-65309,65315,65326 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 47562 diff changeset	534 # Round tmant * 2**texp to a float. The original recipe
f121a963ab69 Merged revisions 65258,65292,65299,65308-65309,65315,65326 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 47562 diff changeset	535 # used float(str(tmant)) * 2.0**texp for this, but that's
f121a963ab69 Merged revisions 65258,65292,65299,65308-65309,65315,65326 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 47562 diff changeset	536 # a little unsafe because str -> float conversion can't be
f121a963ab69 Merged revisions 65258,65292,65299,65308-65309,65315,65326 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 47562 diff changeset	537 # relied upon to do correct rounding on all platforms.
f121a963ab69 Merged revisions 65258,65292,65299,65308-65309,65315,65326 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 47562 diff changeset	538 tail = max(len(bin(abs(tmant)))-2 - mant_dig, etiny - texp)
f121a963ab69 Merged revisions 65258,65292,65299,65308-65309,65315,65326 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 47562 diff changeset	539 if tail > 0:
f121a963ab69 Merged revisions 65258,65292,65299,65308-65309,65315,65326 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 47562 diff changeset	540 h = 1 << (tail-1)
f121a963ab69 Merged revisions 65258,65292,65299,65308-65309,65315,65326 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 47562 diff changeset	541 tmant = tmant // (2h) + bool(tmant & h and tmant & 3h-1)
f121a963ab69 Merged revisions 65258,65292,65299,65308-65309,65315,65326 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 47562 diff changeset	542 texp += tail
f121a963ab69 Merged revisions 65258,65292,65299,65308-65309,65315,65326 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 47562 diff changeset	543 return math.ldexp(tmant, texp)
f121a963ab69 Merged revisions 65258,65292,65299,65308-65309,65315,65326 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 47562 diff changeset	544
f121a963ab69 Merged revisions 65258,65292,65299,65308-65309,65315,65326 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 47562 diff changeset	545 test_values = [
f121a963ab69 Merged revisions 65258,65292,65299,65308-65309,65315,65326 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 47562 diff changeset	546 ([], 0.0),
f121a963ab69 Merged revisions 65258,65292,65299,65308-65309,65315,65326 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 47562 diff changeset	547 ([0.0], 0.0),
f121a963ab69 Merged revisions 65258,65292,65299,65308-65309,65315,65326 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 47562 diff changeset	548 ([1e100, 1.0, -1e100, 1e-100, 1e50, -1.0, -1e50], 1e-100),
f121a963ab69 Merged revisions 65258,65292,65299,65308-65309,65315,65326 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 47562 diff changeset	549 ([2.053, -0.5, -2.0-54], 2.0**53-1.0),
f121a963ab69 Merged revisions 65258,65292,65299,65308-65309,65315,65326 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 47562 diff changeset	550 ([2.053, 1.0, 2.0-100], 2.0**53+2.0),
f121a963ab69 Merged revisions 65258,65292,65299,65308-65309,65315,65326 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 47562 diff changeset	551 ([2.053+10.0, 1.0, 2.0-100], 2.0**53+12.0),
f121a963ab69 Merged revisions 65258,65292,65299,65308-65309,65315,65326 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 47562 diff changeset	552 ([2.053-4.0, 0.5, 2.0-54], 2.0**53-3.0),
f121a963ab69 Merged revisions 65258,65292,65299,65308-65309,65315,65326 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 47562 diff changeset	553 ([1./n for n in range(1, 1001)],
f121a963ab69 Merged revisions 65258,65292,65299,65308-65309,65315,65326 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 47562 diff changeset	554 float.fromhex('0x1.df11f45f4e61ap+2')),
f121a963ab69 Merged revisions 65258,65292,65299,65308-65309,65315,65326 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 47562 diff changeset	555 ([(-1.)**n/n for n in range(1, 1001)],
f121a963ab69 Merged revisions 65258,65292,65299,65308-65309,65315,65326 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 47562 diff changeset	556 float.fromhex('-0x1.62a2af1bd3624p-1')),
f121a963ab69 Merged revisions 65258,65292,65299,65308-65309,65315,65326 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 47562 diff changeset	557 ([1.7(i+1)-1.7i for i in range(1000)] + [-1.7**1000], -1.0),
f121a963ab69 Merged revisions 65258,65292,65299,65308-65309,65315,65326 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 47562 diff changeset	558 ([1e16, 1., 1e-16], 10000000000000002.0),
f121a963ab69 Merged revisions 65258,65292,65299,65308-65309,65315,65326 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 47562 diff changeset	559 ([1e16-2., 1.-2.-53, -(1e16-2.), -(1.-2.-53)], 0.0),
f121a963ab69 Merged revisions 65258,65292,65299,65308-65309,65315,65326 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 47562 diff changeset	560 # exercise code for resizing partials array
f121a963ab69 Merged revisions 65258,65292,65299,65308-65309,65315,65326 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 47562 diff changeset	561 ([2.n - 2.(n+50) + 2.**(n+52) for n in range(-1074, 972, 2)] +
f121a963ab69 Merged revisions 65258,65292,65299,65308-65309,65315,65326 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 47562 diff changeset	562 [-2.**1022],
f121a963ab69 Merged revisions 65258,65292,65299,65308-65309,65315,65326 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 47562 diff changeset	563 float.fromhex('0x1.5555555555555p+970')),
f121a963ab69 Merged revisions 65258,65292,65299,65308-65309,65315,65326 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 47562 diff changeset	564 ]
f121a963ab69 Merged revisions 65258,65292,65299,65308-65309,65315,65326 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 47562 diff changeset	565
f121a963ab69 Merged revisions 65258,65292,65299,65308-65309,65315,65326 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 47562 diff changeset	566 for i, (vals, expected) in enumerate(test_values):
f121a963ab69 Merged revisions 65258,65292,65299,65308-65309,65315,65326 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 47562 diff changeset	567 try:
f121a963ab69 Merged revisions 65258,65292,65299,65308-65309,65315,65326 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 47562 diff changeset	568 actual = math.fsum(vals)
f121a963ab69 Merged revisions 65258,65292,65299,65308-65309,65315,65326 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 47562 diff changeset	569 except OverflowError:
f121a963ab69 Merged revisions 65258,65292,65299,65308-65309,65315,65326 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 47562 diff changeset	570 self.fail("test %d failed: got OverflowError, expected %r "
f121a963ab69 Merged revisions 65258,65292,65299,65308-65309,65315,65326 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 47562 diff changeset	571 "for math.fsum(%.100r)" % (i, expected, vals))
f121a963ab69 Merged revisions 65258,65292,65299,65308-65309,65315,65326 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 47562 diff changeset	572 except ValueError:
f121a963ab69 Merged revisions 65258,65292,65299,65308-65309,65315,65326 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 47562 diff changeset	573 self.fail("test %d failed: got ValueError, expected %r "
f121a963ab69 Merged revisions 65258,65292,65299,65308-65309,65315,65326 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 47562 diff changeset	574 "for math.fsum(%.100r)" % (i, expected, vals))
f121a963ab69 Merged revisions 65258,65292,65299,65308-65309,65315,65326 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 47562 diff changeset	575 self.assertEqual(actual, expected)
f121a963ab69 Merged revisions 65258,65292,65299,65308-65309,65315,65326 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 47562 diff changeset	576
f121a963ab69 Merged revisions 65258,65292,65299,65308-65309,65315,65326 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 47562 diff changeset	577 from random import random, gauss, shuffle
f121a963ab69 Merged revisions 65258,65292,65299,65308-65309,65315,65326 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 47562 diff changeset	578 for j in range(1000):
f121a963ab69 Merged revisions 65258,65292,65299,65308-65309,65315,65326 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 47562 diff changeset	579 vals = [7, 1e100, -7, -1e100, -9e-20, 8e-20] * 10
f121a963ab69 Merged revisions 65258,65292,65299,65308-65309,65315,65326 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 47562 diff changeset	580 s = 0
f121a963ab69 Merged revisions 65258,65292,65299,65308-65309,65315,65326 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 47562 diff changeset	581 for i in range(200):
f121a963ab69 Merged revisions 65258,65292,65299,65308-65309,65315,65326 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 47562 diff changeset	582 v = gauss(0, random()) ** 7 - s
f121a963ab69 Merged revisions 65258,65292,65299,65308-65309,65315,65326 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 47562 diff changeset	583 s += v
f121a963ab69 Merged revisions 65258,65292,65299,65308-65309,65315,65326 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 47562 diff changeset	584 vals.append(v)
f121a963ab69 Merged revisions 65258,65292,65299,65308-65309,65315,65326 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 47562 diff changeset	585 shuffle(vals)
f121a963ab69 Merged revisions 65258,65292,65299,65308-65309,65315,65326 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 47562 diff changeset	586
f121a963ab69 Merged revisions 65258,65292,65299,65308-65309,65315,65326 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 47562 diff changeset	587 s = msum(vals)
f121a963ab69 Merged revisions 65258,65292,65299,65308-65309,65315,65326 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 47562 diff changeset	588 self.assertEqual(msum(vals), math.fsum(vals))
f121a963ab69 Merged revisions 65258,65292,65299,65308-65309,65315,65326 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 47562 diff changeset	589
40450 cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	590 def testHypot(self):
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	591 self.assertRaises(TypeError, math.hypot)
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	592 self.ftest('hypot(0,0)', math.hypot(0,0), 0)
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	593 self.ftest('hypot(3,4)', math.hypot(3,4), 5)
46477 b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	594 self.assertEqual(math.hypot(NAN, INF), INF)
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	595 self.assertEqual(math.hypot(INF, NAN), INF)
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	596 self.assertEqual(math.hypot(NAN, NINF), INF)
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	597 self.assertEqual(math.hypot(NINF, NAN), INF)
55593 0bb232078b8c Merged revisions 73715 via svnmerge from Georg Brandl <georg@python.org> parents: 53352 diff changeset	598 self.assertTrue(math.isnan(math.hypot(1.0, NAN)))
0bb232078b8c Merged revisions 73715 via svnmerge from Georg Brandl <georg@python.org> parents: 53352 diff changeset	599 self.assertTrue(math.isnan(math.hypot(NAN, -2.0)))
3950 75d016c97d1c Added test for math module Guido van Rossum <guido@python.org> parents: diff changeset	600
40450 cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	601 def testLdexp(self):
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	602 self.assertRaises(TypeError, math.ldexp)
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	603 self.ftest('ldexp(0,1)', math.ldexp(0,1), 0)
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	604 self.ftest('ldexp(1,1)', math.ldexp(1,1), 2)
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	605 self.ftest('ldexp(1,-1)', math.ldexp(1,-1), 0.5)
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	606 self.ftest('ldexp(-1,1)', math.ldexp(-1,1), -2)
46477 b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	607 self.assertRaises(OverflowError, math.ldexp, 1., 1000000)
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	608 self.assertRaises(OverflowError, math.ldexp, -1., 1000000)
66340 2beb25369289 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 61542 diff changeset	609 self.assertEqual(math.ldexp(1., -1000000), 0.)
2beb25369289 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 61542 diff changeset	610 self.assertEqual(math.ldexp(-1., -1000000), -0.)
2beb25369289 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 61542 diff changeset	611 self.assertEqual(math.ldexp(INF, 30), INF)
2beb25369289 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 61542 diff changeset	612 self.assertEqual(math.ldexp(NINF, -213), NINF)
55593 0bb232078b8c Merged revisions 73715 via svnmerge from Georg Brandl <georg@python.org> parents: 53352 diff changeset	613 self.assertTrue(math.isnan(math.ldexp(NAN, 0)))
3950 75d016c97d1c Added test for math module Guido van Rossum <guido@python.org> parents: diff changeset	614
47063 081c15806e28 Merged revisions 62914-62916,62918-62919,62921-62922,62924-62942,62944-62945,62947-62949 via svnmerge from Alexandre Vassalotti <alexandre@peadrop.com> parents: 46616 diff changeset	615 # large second argument
081c15806e28 Merged revisions 62914-62916,62918-62919,62921-62922,62924-62942,62944-62945,62947-62949 via svnmerge from Alexandre Vassalotti <alexandre@peadrop.com> parents: 46616 diff changeset	616 for n in [105, 1010, 1020, 1040]:
66340 2beb25369289 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 61542 diff changeset	617 self.assertEqual(math.ldexp(INF, -n), INF)
2beb25369289 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 61542 diff changeset	618 self.assertEqual(math.ldexp(NINF, -n), NINF)
2beb25369289 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 61542 diff changeset	619 self.assertEqual(math.ldexp(1., -n), 0.)
2beb25369289 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 61542 diff changeset	620 self.assertEqual(math.ldexp(-1., -n), -0.)
2beb25369289 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 61542 diff changeset	621 self.assertEqual(math.ldexp(0., -n), 0.)
2beb25369289 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 61542 diff changeset	622 self.assertEqual(math.ldexp(-0., -n), -0.)
55593 0bb232078b8c Merged revisions 73715 via svnmerge from Georg Brandl <georg@python.org> parents: 53352 diff changeset	623 self.assertTrue(math.isnan(math.ldexp(NAN, -n)))
47063 081c15806e28 Merged revisions 62914-62916,62918-62919,62921-62922,62924-62942,62944-62945,62947-62949 via svnmerge from Alexandre Vassalotti <alexandre@peadrop.com> parents: 46616 diff changeset	624
081c15806e28 Merged revisions 62914-62916,62918-62919,62921-62922,62924-62942,62944-62945,62947-62949 via svnmerge from Alexandre Vassalotti <alexandre@peadrop.com> parents: 46616 diff changeset	625 self.assertRaises(OverflowError, math.ldexp, 1., n)
081c15806e28 Merged revisions 62914-62916,62918-62919,62921-62922,62924-62942,62944-62945,62947-62949 via svnmerge from Alexandre Vassalotti <alexandre@peadrop.com> parents: 46616 diff changeset	626 self.assertRaises(OverflowError, math.ldexp, -1., n)
66340 2beb25369289 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 61542 diff changeset	627 self.assertEqual(math.ldexp(0., n), 0.)
2beb25369289 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 61542 diff changeset	628 self.assertEqual(math.ldexp(-0., n), -0.)
2beb25369289 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 61542 diff changeset	629 self.assertEqual(math.ldexp(INF, n), INF)
2beb25369289 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 61542 diff changeset	630 self.assertEqual(math.ldexp(NINF, n), NINF)
55593 0bb232078b8c Merged revisions 73715 via svnmerge from Georg Brandl <georg@python.org> parents: 53352 diff changeset	631 self.assertTrue(math.isnan(math.ldexp(NAN, n)))
47063 081c15806e28 Merged revisions 62914-62916,62918-62919,62921-62922,62924-62942,62944-62945,62947-62949 via svnmerge from Alexandre Vassalotti <alexandre@peadrop.com> parents: 46616 diff changeset	632
40450 cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	633 def testLog(self):
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	634 self.assertRaises(TypeError, math.log)
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	635 self.ftest('log(1/e)', math.log(1/math.e), -1)
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	636 self.ftest('log(1)', math.log(1), 0)
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	637 self.ftest('log(e)', math.log(math.e), 1)
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	638 self.ftest('log(32,2)', math.log(32,2), 5)
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	639 self.ftest('log(1040, 10)', math.log(1040, 10), 40)
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	640 self.ftest('log(1040, 1020)', math.log(1040, 1020), 2)
65026 a9349fd3d0f7 Issue #9599: Further accuracy tweaks to loghelper. For an integer n that's small enough to be converted to a float without overflow, log(n) is now computed as log(float(n)), and similarly for log10. Mark Dickinson <dickinsm@gmail.com> parents: 62968 diff changeset	641 self.ftest('log(101000)', math.log(101000),
a9349fd3d0f7 Issue #9599: Further accuracy tweaks to loghelper. For an integer n that's small enough to be converted to a float without overflow, log(n) is now computed as log(float(n)), and similarly for log10. Mark Dickinson <dickinsm@gmail.com> parents: 62968 diff changeset	642 2302.5850929940457)
a9349fd3d0f7 Issue #9599: Further accuracy tweaks to loghelper. For an integer n that's small enough to be converted to a float without overflow, log(n) is now computed as log(float(n)), and similarly for log10. Mark Dickinson <dickinsm@gmail.com> parents: 62968 diff changeset	643 self.assertRaises(ValueError, math.log, -1.5)
a9349fd3d0f7 Issue #9599: Further accuracy tweaks to loghelper. For an integer n that's small enough to be converted to a float without overflow, log(n) is now computed as log(float(n)), and similarly for log10. Mark Dickinson <dickinsm@gmail.com> parents: 62968 diff changeset	644 self.assertRaises(ValueError, math.log, -10**1000)
a9349fd3d0f7 Issue #9599: Further accuracy tweaks to loghelper. For an integer n that's small enough to be converted to a float without overflow, log(n) is now computed as log(float(n)), and similarly for log10. Mark Dickinson <dickinsm@gmail.com> parents: 62968 diff changeset	645 self.assertRaises(ValueError, math.log, NINF)
66340 2beb25369289 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 61542 diff changeset	646 self.assertEqual(math.log(INF), INF)
55593 0bb232078b8c Merged revisions 73715 via svnmerge from Georg Brandl <georg@python.org> parents: 53352 diff changeset	647 self.assertTrue(math.isnan(math.log(NAN)))
46477 b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	648
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	649 def testLog1p(self):
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	650 self.assertRaises(TypeError, math.log1p)
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	651 n= 2**90
66340 2beb25369289 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 61542 diff changeset	652 self.assertAlmostEqual(math.log1p(n), math.log1p(float(n)))
3950 75d016c97d1c Added test for math module Guido van Rossum <guido@python.org> parents: diff changeset	653
69946 6d1cbfcee45a Issue #11888: Add log2 function to math module. Patch written by Mark Victor Stinner <victor.stinner@haypocalc.com> parents: 69814 diff changeset	654 @requires_IEEE_754
6d1cbfcee45a Issue #11888: Add log2 function to math module. Patch written by Mark Victor Stinner <victor.stinner@haypocalc.com> parents: 69814 diff changeset	655 def testLog2(self):
6d1cbfcee45a Issue #11888: Add log2 function to math module. Patch written by Mark Victor Stinner <victor.stinner@haypocalc.com> parents: 69814 diff changeset	656 self.assertRaises(TypeError, math.log2)
6d1cbfcee45a Issue #11888: Add log2 function to math module. Patch written by Mark Victor Stinner <victor.stinner@haypocalc.com> parents: 69814 diff changeset	657
6d1cbfcee45a Issue #11888: Add log2 function to math module. Patch written by Mark Victor Stinner <victor.stinner@haypocalc.com> parents: 69814 diff changeset	658 # Check some integer values
6d1cbfcee45a Issue #11888: Add log2 function to math module. Patch written by Mark Victor Stinner <victor.stinner@haypocalc.com> parents: 69814 diff changeset	659 self.assertEqual(math.log2(1), 0.0)
6d1cbfcee45a Issue #11888: Add log2 function to math module. Patch written by Mark Victor Stinner <victor.stinner@haypocalc.com> parents: 69814 diff changeset	660 self.assertEqual(math.log2(2), 1.0)
6d1cbfcee45a Issue #11888: Add log2 function to math module. Patch written by Mark Victor Stinner <victor.stinner@haypocalc.com> parents: 69814 diff changeset	661 self.assertEqual(math.log2(4), 2.0)
6d1cbfcee45a Issue #11888: Add log2 function to math module. Patch written by Mark Victor Stinner <victor.stinner@haypocalc.com> parents: 69814 diff changeset	662
6d1cbfcee45a Issue #11888: Add log2 function to math module. Patch written by Mark Victor Stinner <victor.stinner@haypocalc.com> parents: 69814 diff changeset	663 # Large integer values
6d1cbfcee45a Issue #11888: Add log2 function to math module. Patch written by Mark Victor Stinner <victor.stinner@haypocalc.com> parents: 69814 diff changeset	664 self.assertEqual(math.log2(2**1023), 1023.0)
6d1cbfcee45a Issue #11888: Add log2 function to math module. Patch written by Mark Victor Stinner <victor.stinner@haypocalc.com> parents: 69814 diff changeset	665 self.assertEqual(math.log2(2**1024), 1024.0)
6d1cbfcee45a Issue #11888: Add log2 function to math module. Patch written by Mark Victor Stinner <victor.stinner@haypocalc.com> parents: 69814 diff changeset	666 self.assertEqual(math.log2(2**2000), 2000.0)
6d1cbfcee45a Issue #11888: Add log2 function to math module. Patch written by Mark Victor Stinner <victor.stinner@haypocalc.com> parents: 69814 diff changeset	667
6d1cbfcee45a Issue #11888: Add log2 function to math module. Patch written by Mark Victor Stinner <victor.stinner@haypocalc.com> parents: 69814 diff changeset	668 self.assertRaises(ValueError, math.log2, -1.5)
6d1cbfcee45a Issue #11888: Add log2 function to math module. Patch written by Mark Victor Stinner <victor.stinner@haypocalc.com> parents: 69814 diff changeset	669 self.assertRaises(ValueError, math.log2, NINF)
6d1cbfcee45a Issue #11888: Add log2 function to math module. Patch written by Mark Victor Stinner <victor.stinner@haypocalc.com> parents: 69814 diff changeset	670 self.assertTrue(math.isnan(math.log2(NAN)))
6d1cbfcee45a Issue #11888: Add log2 function to math module. Patch written by Mark Victor Stinner <victor.stinner@haypocalc.com> parents: 69814 diff changeset	671
70018 34871c3072c9 Issue #11888: skip some log2 tests on Mac OS X Tiger Victor Stinner <victor.stinner@haypocalc.com> parents: 69979 diff changeset	672 @requires_IEEE_754
70576 566c42b0e750 (Merge 3.2) Close #12230: Mac OS X Tiger (10.4) has a kernel bug: sometimes, Victor Stinner <victor.stinner@haypocalc.com> parents: 70574 diff changeset	673 # log2() is not accurate enough on Mac OS X Tiger (10.4)
566c42b0e750 (Merge 3.2) Close #12230: Mac OS X Tiger (10.4) has a kernel bug: sometimes, Victor Stinner <victor.stinner@haypocalc.com> parents: 70574 diff changeset	674 @support.requires_mac_ver(10, 5)
70018 34871c3072c9 Issue #11888: skip some log2 tests on Mac OS X Tiger Victor Stinner <victor.stinner@haypocalc.com> parents: 69979 diff changeset	675 def testLog2Exact(self):
34871c3072c9 Issue #11888: skip some log2 tests on Mac OS X Tiger Victor Stinner <victor.stinner@haypocalc.com> parents: 69979 diff changeset	676 # Check that we get exact equality for log2 of powers of 2.
34871c3072c9 Issue #11888: skip some log2 tests on Mac OS X Tiger Victor Stinner <victor.stinner@haypocalc.com> parents: 69979 diff changeset	677 actual = [math.log2(math.ldexp(1.0, n)) for n in range(-1074, 1024)]
34871c3072c9 Issue #11888: skip some log2 tests on Mac OS X Tiger Victor Stinner <victor.stinner@haypocalc.com> parents: 69979 diff changeset	678 expected = [float(n) for n in range(-1074, 1024)]
34871c3072c9 Issue #11888: skip some log2 tests on Mac OS X Tiger Victor Stinner <victor.stinner@haypocalc.com> parents: 69979 diff changeset	679 self.assertEqual(actual, expected)
34871c3072c9 Issue #11888: skip some log2 tests on Mac OS X Tiger Victor Stinner <victor.stinner@haypocalc.com> parents: 69979 diff changeset	680
40450 cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	681 def testLog10(self):
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	682 self.assertRaises(TypeError, math.log10)
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	683 self.ftest('log10(0.1)', math.log10(0.1), -1)
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	684 self.ftest('log10(1)', math.log10(1), 0)
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	685 self.ftest('log10(10)', math.log10(10), 1)
65026 a9349fd3d0f7 Issue #9599: Further accuracy tweaks to loghelper. For an integer n that's small enough to be converted to a float without overflow, log(n) is now computed as log(float(n)), and similarly for log10. Mark Dickinson <dickinsm@gmail.com> parents: 62968 diff changeset	686 self.ftest('log10(101000)', math.log10(101000), 1000.0)
a9349fd3d0f7 Issue #9599: Further accuracy tweaks to loghelper. For an integer n that's small enough to be converted to a float without overflow, log(n) is now computed as log(float(n)), and similarly for log10. Mark Dickinson <dickinsm@gmail.com> parents: 62968 diff changeset	687 self.assertRaises(ValueError, math.log10, -1.5)
a9349fd3d0f7 Issue #9599: Further accuracy tweaks to loghelper. For an integer n that's small enough to be converted to a float without overflow, log(n) is now computed as log(float(n)), and similarly for log10. Mark Dickinson <dickinsm@gmail.com> parents: 62968 diff changeset	688 self.assertRaises(ValueError, math.log10, -10**1000)
a9349fd3d0f7 Issue #9599: Further accuracy tweaks to loghelper. For an integer n that's small enough to be converted to a float without overflow, log(n) is now computed as log(float(n)), and similarly for log10. Mark Dickinson <dickinsm@gmail.com> parents: 62968 diff changeset	689 self.assertRaises(ValueError, math.log10, NINF)
66340 2beb25369289 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 61542 diff changeset	690 self.assertEqual(math.log(INF), INF)
55593 0bb232078b8c Merged revisions 73715 via svnmerge from Georg Brandl <georg@python.org> parents: 53352 diff changeset	691 self.assertTrue(math.isnan(math.log10(NAN)))
40450 cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	692
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	693 def testModf(self):
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	694 self.assertRaises(TypeError, math.modf)
3950 75d016c97d1c Added test for math module Guido van Rossum <guido@python.org> parents: diff changeset	695
41717 9ad84070b22d Merged revisions 55328-55341 via svnmerge from Guido van Rossum <guido@python.org> parents: 40450 diff changeset	696 def testmodf(name, result, expected):
9ad84070b22d Merged revisions 55328-55341 via svnmerge from Guido van Rossum <guido@python.org> parents: 40450 diff changeset	697 (v1, v2), (e1, e2) = result, expected
40450 cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	698 if abs(v1-e1) > eps or abs(v2-e2):
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	699 self.fail('%s returned %r, expected %r'%\
41717 9ad84070b22d Merged revisions 55328-55341 via svnmerge from Guido van Rossum <guido@python.org> parents: 40450 diff changeset	700 (name, result, expected))
3950 75d016c97d1c Added test for math module Guido van Rossum <guido@python.org> parents: diff changeset	701
40450 cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	702 testmodf('modf(1.5)', math.modf(1.5), (0.5, 1.0))
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	703 testmodf('modf(-1.5)', math.modf(-1.5), (-0.5, -1.0))
3950 75d016c97d1c Added test for math module Guido van Rossum <guido@python.org> parents: diff changeset	704
66340 2beb25369289 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 61542 diff changeset	705 self.assertEqual(math.modf(INF), (0.0, INF))
2beb25369289 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 61542 diff changeset	706 self.assertEqual(math.modf(NINF), (-0.0, NINF))
46477 b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	707
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	708 modf_nan = math.modf(NAN)
55593 0bb232078b8c Merged revisions 73715 via svnmerge from Georg Brandl <georg@python.org> parents: 53352 diff changeset	709 self.assertTrue(math.isnan(modf_nan[0]))
0bb232078b8c Merged revisions 73715 via svnmerge from Georg Brandl <georg@python.org> parents: 53352 diff changeset	710 self.assertTrue(math.isnan(modf_nan[1]))
46477 b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	711
40450 cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	712 def testPow(self):
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	713 self.assertRaises(TypeError, math.pow)
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	714 self.ftest('pow(0,1)', math.pow(0,1), 0)
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	715 self.ftest('pow(1,0)', math.pow(1,0), 1)
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	716 self.ftest('pow(2,1)', math.pow(2,1), 2)
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	717 self.ftest('pow(2,-1)', math.pow(2,-1), 0.5)
46477 b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	718 self.assertEqual(math.pow(INF, 1), INF)
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	719 self.assertEqual(math.pow(NINF, 1), NINF)
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	720 self.assertEqual((math.pow(1, INF)), 1.)
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	721 self.assertEqual((math.pow(1, NINF)), 1.)
55593 0bb232078b8c Merged revisions 73715 via svnmerge from Georg Brandl <georg@python.org> parents: 53352 diff changeset	722 self.assertTrue(math.isnan(math.pow(NAN, 1)))
0bb232078b8c Merged revisions 73715 via svnmerge from Georg Brandl <georg@python.org> parents: 53352 diff changeset	723 self.assertTrue(math.isnan(math.pow(2, NAN)))
0bb232078b8c Merged revisions 73715 via svnmerge from Georg Brandl <georg@python.org> parents: 53352 diff changeset	724 self.assertTrue(math.isnan(math.pow(0, NAN)))
46477 b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	725 self.assertEqual(math.pow(1, NAN), 1)
46505 63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	726
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	727 # pow(0., x)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	728 self.assertEqual(math.pow(0., INF), 0.)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	729 self.assertEqual(math.pow(0., 3.), 0.)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	730 self.assertEqual(math.pow(0., 2.3), 0.)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	731 self.assertEqual(math.pow(0., 2.), 0.)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	732 self.assertEqual(math.pow(0., 0.), 1.)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	733 self.assertEqual(math.pow(0., -0.), 1.)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	734 self.assertRaises(ValueError, math.pow, 0., -2.)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	735 self.assertRaises(ValueError, math.pow, 0., -2.3)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	736 self.assertRaises(ValueError, math.pow, 0., -3.)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	737 self.assertRaises(ValueError, math.pow, 0., NINF)
55593 0bb232078b8c Merged revisions 73715 via svnmerge from Georg Brandl <georg@python.org> parents: 53352 diff changeset	738 self.assertTrue(math.isnan(math.pow(0., NAN)))
46505 63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	739
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	740 # pow(INF, x)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	741 self.assertEqual(math.pow(INF, INF), INF)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	742 self.assertEqual(math.pow(INF, 3.), INF)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	743 self.assertEqual(math.pow(INF, 2.3), INF)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	744 self.assertEqual(math.pow(INF, 2.), INF)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	745 self.assertEqual(math.pow(INF, 0.), 1.)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	746 self.assertEqual(math.pow(INF, -0.), 1.)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	747 self.assertEqual(math.pow(INF, -2.), 0.)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	748 self.assertEqual(math.pow(INF, -2.3), 0.)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	749 self.assertEqual(math.pow(INF, -3.), 0.)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	750 self.assertEqual(math.pow(INF, NINF), 0.)
55593 0bb232078b8c Merged revisions 73715 via svnmerge from Georg Brandl <georg@python.org> parents: 53352 diff changeset	751 self.assertTrue(math.isnan(math.pow(INF, NAN)))
46505 63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	752
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	753 # pow(-0., x)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	754 self.assertEqual(math.pow(-0., INF), 0.)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	755 self.assertEqual(math.pow(-0., 3.), -0.)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	756 self.assertEqual(math.pow(-0., 2.3), 0.)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	757 self.assertEqual(math.pow(-0., 2.), 0.)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	758 self.assertEqual(math.pow(-0., 0.), 1.)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	759 self.assertEqual(math.pow(-0., -0.), 1.)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	760 self.assertRaises(ValueError, math.pow, -0., -2.)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	761 self.assertRaises(ValueError, math.pow, -0., -2.3)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	762 self.assertRaises(ValueError, math.pow, -0., -3.)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	763 self.assertRaises(ValueError, math.pow, -0., NINF)
55593 0bb232078b8c Merged revisions 73715 via svnmerge from Georg Brandl <georg@python.org> parents: 53352 diff changeset	764 self.assertTrue(math.isnan(math.pow(-0., NAN)))
46505 63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	765
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	766 # pow(NINF, x)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	767 self.assertEqual(math.pow(NINF, INF), INF)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	768 self.assertEqual(math.pow(NINF, 3.), NINF)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	769 self.assertEqual(math.pow(NINF, 2.3), INF)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	770 self.assertEqual(math.pow(NINF, 2.), INF)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	771 self.assertEqual(math.pow(NINF, 0.), 1.)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	772 self.assertEqual(math.pow(NINF, -0.), 1.)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	773 self.assertEqual(math.pow(NINF, -2.), 0.)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	774 self.assertEqual(math.pow(NINF, -2.3), 0.)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	775 self.assertEqual(math.pow(NINF, -3.), -0.)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	776 self.assertEqual(math.pow(NINF, NINF), 0.)
55593 0bb232078b8c Merged revisions 73715 via svnmerge from Georg Brandl <georg@python.org> parents: 53352 diff changeset	777 self.assertTrue(math.isnan(math.pow(NINF, NAN)))
46505 63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	778
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	779 # pow(-1, x)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	780 self.assertEqual(math.pow(-1., INF), 1.)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	781 self.assertEqual(math.pow(-1., 3.), -1.)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	782 self.assertRaises(ValueError, math.pow, -1., 2.3)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	783 self.assertEqual(math.pow(-1., 2.), 1.)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	784 self.assertEqual(math.pow(-1., 0.), 1.)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	785 self.assertEqual(math.pow(-1., -0.), 1.)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	786 self.assertEqual(math.pow(-1., -2.), 1.)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	787 self.assertRaises(ValueError, math.pow, -1., -2.3)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	788 self.assertEqual(math.pow(-1., -3.), -1.)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	789 self.assertEqual(math.pow(-1., NINF), 1.)
55593 0bb232078b8c Merged revisions 73715 via svnmerge from Georg Brandl <georg@python.org> parents: 53352 diff changeset	790 self.assertTrue(math.isnan(math.pow(-1., NAN)))
46505 63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	791
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	792 # pow(1, x)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	793 self.assertEqual(math.pow(1., INF), 1.)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	794 self.assertEqual(math.pow(1., 3.), 1.)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	795 self.assertEqual(math.pow(1., 2.3), 1.)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	796 self.assertEqual(math.pow(1., 2.), 1.)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	797 self.assertEqual(math.pow(1., 0.), 1.)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	798 self.assertEqual(math.pow(1., -0.), 1.)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	799 self.assertEqual(math.pow(1., -2.), 1.)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	800 self.assertEqual(math.pow(1., -2.3), 1.)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	801 self.assertEqual(math.pow(1., -3.), 1.)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	802 self.assertEqual(math.pow(1., NINF), 1.)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	803 self.assertEqual(math.pow(1., NAN), 1.)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	804
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	805 # pow(x, 0) should be 1 for any x
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	806 self.assertEqual(math.pow(2.3, 0.), 1.)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	807 self.assertEqual(math.pow(-2.3, 0.), 1.)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	808 self.assertEqual(math.pow(NAN, 0.), 1.)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	809 self.assertEqual(math.pow(2.3, -0.), 1.)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	810 self.assertEqual(math.pow(-2.3, -0.), 1.)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	811 self.assertEqual(math.pow(NAN, -0.), 1.)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	812
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	813 # pow(x, y) is invalid if x is negative and y is not integral
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	814 self.assertRaises(ValueError, math.pow, -1., 2.3)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	815 self.assertRaises(ValueError, math.pow, -15., -3.1)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	816
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	817 # pow(x, NINF)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	818 self.assertEqual(math.pow(1.9, NINF), 0.)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	819 self.assertEqual(math.pow(1.1, NINF), 0.)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	820 self.assertEqual(math.pow(0.9, NINF), INF)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	821 self.assertEqual(math.pow(0.1, NINF), INF)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	822 self.assertEqual(math.pow(-0.1, NINF), INF)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	823 self.assertEqual(math.pow(-0.9, NINF), INF)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	824 self.assertEqual(math.pow(-1.1, NINF), 0.)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	825 self.assertEqual(math.pow(-1.9, NINF), 0.)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	826
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	827 # pow(x, INF)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	828 self.assertEqual(math.pow(1.9, INF), INF)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	829 self.assertEqual(math.pow(1.1, INF), INF)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	830 self.assertEqual(math.pow(0.9, INF), 0.)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	831 self.assertEqual(math.pow(0.1, INF), 0.)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	832 self.assertEqual(math.pow(-0.1, INF), 0.)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	833 self.assertEqual(math.pow(-0.9, INF), 0.)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	834 self.assertEqual(math.pow(-1.1, INF), INF)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	835 self.assertEqual(math.pow(-1.9, INF), INF)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	836
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	837 # pow(x, y) should work for x negative, y an integer
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	838 self.ftest('(-2.)**3.', math.pow(-2.0, 3.0), -8.0)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	839 self.ftest('(-2.)**2.', math.pow(-2.0, 2.0), 4.0)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	840 self.ftest('(-2.)**1.', math.pow(-2.0, 1.0), -2.0)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	841 self.ftest('(-2.)**0.', math.pow(-2.0, 0.0), 1.0)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	842 self.ftest('(-2.)**-0.', math.pow(-2.0, -0.0), 1.0)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	843 self.ftest('(-2.)**-1.', math.pow(-2.0, -1.0), -0.5)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	844 self.ftest('(-2.)**-2.', math.pow(-2.0, -2.0), 0.25)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	845 self.ftest('(-2.)**-3.', math.pow(-2.0, -3.0), -0.125)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	846 self.assertRaises(ValueError, math.pow, -2.0, -0.5)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	847 self.assertRaises(ValueError, math.pow, -2.0, 0.5)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	848
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	849 # the following tests have been commented out since they don't
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	850 # really belong here: the implementation of ** for floats is
68585 bf94b6a73fc8 #11565: Fix several typos. Patch by Piotr Kasprzyk. Ezio Melotti <ezio.melotti@gmail.com> parents: 66340 diff changeset	851 # independent of the implementation of math.pow
46505 63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	852 #self.assertEqual(1**NAN, 1)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	853 #self.assertEqual(1**INF, 1)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	854 #self.assertEqual(1**NINF, 1)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	855 #self.assertEqual(1**0, 1)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	856 #self.assertEqual(1.**NAN, 1)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	857 #self.assertEqual(1.**INF, 1)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	858 #self.assertEqual(1.**NINF, 1)
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	859 #self.assertEqual(1.**0, 1)
3950 75d016c97d1c Added test for math module Guido van Rossum <guido@python.org> parents: diff changeset	860
40450 cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	861 def testRadians(self):
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	862 self.assertRaises(TypeError, math.radians)
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	863 self.ftest('radians(180)', math.radians(180), math.pi)
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	864 self.ftest('radians(90)', math.radians(90), math.pi/2)
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	865 self.ftest('radians(-45)', math.radians(-45), -math.pi/4)
23426 1157281f00a0 Adds tests for degrees() and radians() functions added to mathmodule. Raymond Hettinger <python@rcn.com> parents: 19750 diff changeset	866
40450 cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	867 def testSin(self):
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	868 self.assertRaises(TypeError, math.sin)
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	869 self.ftest('sin(0)', math.sin(0), 0)
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	870 self.ftest('sin(pi/2)', math.sin(math.pi/2), 1)
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	871 self.ftest('sin(-pi/2)', math.sin(-math.pi/2), -1)
46477 b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	872 try:
55593 0bb232078b8c Merged revisions 73715 via svnmerge from Georg Brandl <georg@python.org> parents: 53352 diff changeset	873 self.assertTrue(math.isnan(math.sin(INF)))
0bb232078b8c Merged revisions 73715 via svnmerge from Georg Brandl <georg@python.org> parents: 53352 diff changeset	874 self.assertTrue(math.isnan(math.sin(NINF)))
46477 b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	875 except ValueError:
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	876 self.assertRaises(ValueError, math.sin, INF)
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	877 self.assertRaises(ValueError, math.sin, NINF)
55593 0bb232078b8c Merged revisions 73715 via svnmerge from Georg Brandl <georg@python.org> parents: 53352 diff changeset	878 self.assertTrue(math.isnan(math.sin(NAN)))
3950 75d016c97d1c Added test for math module Guido van Rossum <guido@python.org> parents: diff changeset	879
40450 cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	880 def testSinh(self):
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	881 self.assertRaises(TypeError, math.sinh)
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	882 self.ftest('sinh(0)', math.sinh(0), 0)
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	883 self.ftest('sinh(1)2-cosh(1)2', math.sinh(1)2-math.cosh(1)2, -1)
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	884 self.ftest('sinh(1)+sinh(-1)', math.sinh(1)+math.sinh(-1), 0)
66340 2beb25369289 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 61542 diff changeset	885 self.assertEqual(math.sinh(INF), INF)
2beb25369289 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 61542 diff changeset	886 self.assertEqual(math.sinh(NINF), NINF)
55593 0bb232078b8c Merged revisions 73715 via svnmerge from Georg Brandl <georg@python.org> parents: 53352 diff changeset	887 self.assertTrue(math.isnan(math.sinh(NAN)))
3950 75d016c97d1c Added test for math module Guido van Rossum <guido@python.org> parents: diff changeset	888
40450 cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	889 def testSqrt(self):
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	890 self.assertRaises(TypeError, math.sqrt)
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	891 self.ftest('sqrt(0)', math.sqrt(0), 0)
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	892 self.ftest('sqrt(1)', math.sqrt(1), 1)
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	893 self.ftest('sqrt(4)', math.sqrt(4), 2)
66340 2beb25369289 Merged revisions 86596 via svnmerge from Ezio Melotti <ezio.melotti@gmail.com> parents: 61542 diff changeset	894 self.assertEqual(math.sqrt(INF), INF)
46477 b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	895 self.assertRaises(ValueError, math.sqrt, NINF)
55593 0bb232078b8c Merged revisions 73715 via svnmerge from Georg Brandl <georg@python.org> parents: 53352 diff changeset	896 self.assertTrue(math.isnan(math.sqrt(NAN)))
3950 75d016c97d1c Added test for math module Guido van Rossum <guido@python.org> parents: diff changeset	897
40450 cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	898 def testTan(self):
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	899 self.assertRaises(TypeError, math.tan)
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	900 self.ftest('tan(0)', math.tan(0), 0)
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	901 self.ftest('tan(pi/4)', math.tan(math.pi/4), 1)
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	902 self.ftest('tan(-pi/4)', math.tan(-math.pi/4), -1)
46477 b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	903 try:
55593 0bb232078b8c Merged revisions 73715 via svnmerge from Georg Brandl <georg@python.org> parents: 53352 diff changeset	904 self.assertTrue(math.isnan(math.tan(INF)))
0bb232078b8c Merged revisions 73715 via svnmerge from Georg Brandl <georg@python.org> parents: 53352 diff changeset	905 self.assertTrue(math.isnan(math.tan(NINF)))
46477 b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	906 except:
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	907 self.assertRaises(ValueError, math.tan, INF)
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	908 self.assertRaises(ValueError, math.tan, NINF)
55593 0bb232078b8c Merged revisions 73715 via svnmerge from Georg Brandl <georg@python.org> parents: 53352 diff changeset	909 self.assertTrue(math.isnan(math.tan(NAN)))
15170 09c7ac188ce2 Stop raising OverflowError on underflows reported by libm (errno==ERANGE and Tim Peters <tim.peters@gmail.com> parents: 13912 diff changeset	910
40450 cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	911 def testTanh(self):
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	912 self.assertRaises(TypeError, math.tanh)
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	913 self.ftest('tanh(0)', math.tanh(0), 0)
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	914 self.ftest('tanh(1)+tanh(-1)', math.tanh(1)+math.tanh(-1), 0)
46477 b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	915 self.ftest('tanh(inf)', math.tanh(INF), 1)
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	916 self.ftest('tanh(-inf)', math.tanh(NINF), -1)
55593 0bb232078b8c Merged revisions 73715 via svnmerge from Georg Brandl <georg@python.org> parents: 53352 diff changeset	917 self.assertTrue(math.isnan(math.tanh(NAN)))
66064 fdcaac0e010a Issue #10337: skip tests of tanh() sign in test_math and test_cmath if tanh() Victor Stinner <victor.stinner@haypocalc.com> parents: 65026 diff changeset	918
fdcaac0e010a Issue #10337: skip tests of tanh() sign in test_math and test_cmath if tanh() Victor Stinner <victor.stinner@haypocalc.com> parents: 65026 diff changeset	919 @requires_IEEE_754
fdcaac0e010a Issue #10337: skip tests of tanh() sign in test_math and test_cmath if tanh() Victor Stinner <victor.stinner@haypocalc.com> parents: 65026 diff changeset	920 @unittest.skipIf(sysconfig.get_config_var('TANH_PRESERVES_ZERO_SIGN') == 0,
fdcaac0e010a Issue #10337: skip tests of tanh() sign in test_math and test_cmath if tanh() Victor Stinner <victor.stinner@haypocalc.com> parents: 65026 diff changeset	921 "system tanh() function doesn't copy the sign")
fdcaac0e010a Issue #10337: skip tests of tanh() sign in test_math and test_cmath if tanh() Victor Stinner <victor.stinner@haypocalc.com> parents: 65026 diff changeset	922 def testTanhSign(self):
46516 ec48490b969a Merged revisions 62420-62421,62423-62424 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46505 diff changeset	923 # check that tanh(-0.) == -0. on IEEE 754 systems
66064 fdcaac0e010a Issue #10337: skip tests of tanh() sign in test_math and test_cmath if tanh() Victor Stinner <victor.stinner@haypocalc.com> parents: 65026 diff changeset	924 self.assertEqual(math.tanh(-0.), -0.)
fdcaac0e010a Issue #10337: skip tests of tanh() sign in test_math and test_cmath if tanh() Victor Stinner <victor.stinner@haypocalc.com> parents: 65026 diff changeset	925 self.assertEqual(math.copysign(1., math.tanh(-0.)),
fdcaac0e010a Issue #10337: skip tests of tanh() sign in test_math and test_cmath if tanh() Victor Stinner <victor.stinner@haypocalc.com> parents: 65026 diff changeset	926 math.copysign(1., -0.))
40450 cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	927
45082 d7540031b959 Merged revisions 60475-60479,60481-60488 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 44499 diff changeset	928 def test_trunc(self):
d7540031b959 Merged revisions 60475-60479,60481-60488 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 44499 diff changeset	929 self.assertEqual(math.trunc(1), 1)
d7540031b959 Merged revisions 60475-60479,60481-60488 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 44499 diff changeset	930 self.assertEqual(math.trunc(-1), -1)
d7540031b959 Merged revisions 60475-60479,60481-60488 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 44499 diff changeset	931 self.assertEqual(type(math.trunc(1)), int)
d7540031b959 Merged revisions 60475-60479,60481-60488 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 44499 diff changeset	932 self.assertEqual(type(math.trunc(1.5)), int)
d7540031b959 Merged revisions 60475-60479,60481-60488 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 44499 diff changeset	933 self.assertEqual(math.trunc(1.5), 1)
d7540031b959 Merged revisions 60475-60479,60481-60488 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 44499 diff changeset	934 self.assertEqual(math.trunc(-1.5), -1)
d7540031b959 Merged revisions 60475-60479,60481-60488 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 44499 diff changeset	935 self.assertEqual(math.trunc(1.999999), 1)
d7540031b959 Merged revisions 60475-60479,60481-60488 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 44499 diff changeset	936 self.assertEqual(math.trunc(-1.999999), -1)
d7540031b959 Merged revisions 60475-60479,60481-60488 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 44499 diff changeset	937 self.assertEqual(math.trunc(-0.999999), -0)
d7540031b959 Merged revisions 60475-60479,60481-60488 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 44499 diff changeset	938 self.assertEqual(math.trunc(-100.999), -100)
d7540031b959 Merged revisions 60475-60479,60481-60488 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 44499 diff changeset	939
d7540031b959 Merged revisions 60475-60479,60481-60488 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 44499 diff changeset	940 class TestTrunc(object):
d7540031b959 Merged revisions 60475-60479,60481-60488 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 44499 diff changeset	941 def __trunc__(self):
d7540031b959 Merged revisions 60475-60479,60481-60488 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 44499 diff changeset	942 return 23
d7540031b959 Merged revisions 60475-60479,60481-60488 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 44499 diff changeset	943
d7540031b959 Merged revisions 60475-60479,60481-60488 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 44499 diff changeset	944 class TestNoTrunc(object):
d7540031b959 Merged revisions 60475-60479,60481-60488 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 44499 diff changeset	945 pass
d7540031b959 Merged revisions 60475-60479,60481-60488 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 44499 diff changeset	946
d7540031b959 Merged revisions 60475-60479,60481-60488 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 44499 diff changeset	947 self.assertEqual(math.trunc(TestTrunc()), 23)
d7540031b959 Merged revisions 60475-60479,60481-60488 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 44499 diff changeset	948
d7540031b959 Merged revisions 60475-60479,60481-60488 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 44499 diff changeset	949 self.assertRaises(TypeError, math.trunc)
d7540031b959 Merged revisions 60475-60479,60481-60488 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 44499 diff changeset	950 self.assertRaises(TypeError, math.trunc, 1, 2)
d7540031b959 Merged revisions 60475-60479,60481-60488 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 44499 diff changeset	951 self.assertRaises(TypeError, math.trunc, TestNoTrunc())
d7540031b959 Merged revisions 60475-60479,60481-60488 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 44499 diff changeset	952
62968 53e7ae8ca039 Issue #9165: Add math.isfinite and cmath.isfinite. Mark Dickinson <dickinsm@gmail.com> parents: 62844 diff changeset	953 def testIsfinite(self):
53e7ae8ca039 Issue #9165: Add math.isfinite and cmath.isfinite. Mark Dickinson <dickinsm@gmail.com> parents: 62844 diff changeset	954 self.assertTrue(math.isfinite(0.0))
53e7ae8ca039 Issue #9165: Add math.isfinite and cmath.isfinite. Mark Dickinson <dickinsm@gmail.com> parents: 62844 diff changeset	955 self.assertTrue(math.isfinite(-0.0))
53e7ae8ca039 Issue #9165: Add math.isfinite and cmath.isfinite. Mark Dickinson <dickinsm@gmail.com> parents: 62844 diff changeset	956 self.assertTrue(math.isfinite(1.0))
53e7ae8ca039 Issue #9165: Add math.isfinite and cmath.isfinite. Mark Dickinson <dickinsm@gmail.com> parents: 62844 diff changeset	957 self.assertTrue(math.isfinite(-1.0))
53e7ae8ca039 Issue #9165: Add math.isfinite and cmath.isfinite. Mark Dickinson <dickinsm@gmail.com> parents: 62844 diff changeset	958 self.assertFalse(math.isfinite(float("nan")))
53e7ae8ca039 Issue #9165: Add math.isfinite and cmath.isfinite. Mark Dickinson <dickinsm@gmail.com> parents: 62844 diff changeset	959 self.assertFalse(math.isfinite(float("inf")))
53e7ae8ca039 Issue #9165: Add math.isfinite and cmath.isfinite. Mark Dickinson <dickinsm@gmail.com> parents: 62844 diff changeset	960 self.assertFalse(math.isfinite(float("-inf")))
45082 d7540031b959 Merged revisions 60475-60479,60481-60488 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 44499 diff changeset	961
44441 b91ca87e6f32 Merged revisions 59666-59679 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 42754 diff changeset	962 def testIsnan(self):
55593 0bb232078b8c Merged revisions 73715 via svnmerge from Georg Brandl <georg@python.org> parents: 53352 diff changeset	963 self.assertTrue(math.isnan(float("nan")))
0bb232078b8c Merged revisions 73715 via svnmerge from Georg Brandl <georg@python.org> parents: 53352 diff changeset	964 self.assertTrue(math.isnan(float("inf")* 0.))
0bb232078b8c Merged revisions 73715 via svnmerge from Georg Brandl <georg@python.org> parents: 53352 diff changeset	965 self.assertFalse(math.isnan(float("inf")))
0bb232078b8c Merged revisions 73715 via svnmerge from Georg Brandl <georg@python.org> parents: 53352 diff changeset	966 self.assertFalse(math.isnan(0.))
0bb232078b8c Merged revisions 73715 via svnmerge from Georg Brandl <georg@python.org> parents: 53352 diff changeset	967 self.assertFalse(math.isnan(1.))
44441 b91ca87e6f32 Merged revisions 59666-59679 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 42754 diff changeset	968
b91ca87e6f32 Merged revisions 59666-59679 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 42754 diff changeset	969 def testIsinf(self):
55593 0bb232078b8c Merged revisions 73715 via svnmerge from Georg Brandl <georg@python.org> parents: 53352 diff changeset	970 self.assertTrue(math.isinf(float("inf")))
0bb232078b8c Merged revisions 73715 via svnmerge from Georg Brandl <georg@python.org> parents: 53352 diff changeset	971 self.assertTrue(math.isinf(float("-inf")))
0bb232078b8c Merged revisions 73715 via svnmerge from Georg Brandl <georg@python.org> parents: 53352 diff changeset	972 self.assertTrue(math.isinf(1E400))
0bb232078b8c Merged revisions 73715 via svnmerge from Georg Brandl <georg@python.org> parents: 53352 diff changeset	973 self.assertTrue(math.isinf(-1E400))
0bb232078b8c Merged revisions 73715 via svnmerge from Georg Brandl <georg@python.org> parents: 53352 diff changeset	974 self.assertFalse(math.isinf(float("nan")))
0bb232078b8c Merged revisions 73715 via svnmerge from Georg Brandl <georg@python.org> parents: 53352 diff changeset	975 self.assertFalse(math.isinf(0.))
0bb232078b8c Merged revisions 73715 via svnmerge from Georg Brandl <georg@python.org> parents: 53352 diff changeset	976 self.assertFalse(math.isinf(1.))
44441 b91ca87e6f32 Merged revisions 59666-59679 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 42754 diff changeset	977
40450 cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	978 # RED_FLAG 16-Oct-2000 Tim
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	979 # While 2.0 is more consistent about exceptions than previous releases, it
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	980 # still fails this part of the test on some platforms. For now, we only
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	981 # run test_exceptions() in verbose mode, so that this isn't normally
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	982 # tested.
86895 1feeeb8992f8 Issue #18702: All skipped tests now reported as skipped. Serhiy Storchaka <storchaka@gmail.com> parents: 70576 diff changeset	983 @unittest.skipUnless(verbose, 'requires verbose mode')
1feeeb8992f8 Issue #18702: All skipped tests now reported as skipped. Serhiy Storchaka <storchaka@gmail.com> parents: 70576 diff changeset	984 def test_exceptions(self):
1feeeb8992f8 Issue #18702: All skipped tests now reported as skipped. Serhiy Storchaka <storchaka@gmail.com> parents: 70576 diff changeset	985 try:
1feeeb8992f8 Issue #18702: All skipped tests now reported as skipped. Serhiy Storchaka <storchaka@gmail.com> parents: 70576 diff changeset	986 x = math.exp(-1000000000)
1feeeb8992f8 Issue #18702: All skipped tests now reported as skipped. Serhiy Storchaka <storchaka@gmail.com> parents: 70576 diff changeset	987 except:
1feeeb8992f8 Issue #18702: All skipped tests now reported as skipped. Serhiy Storchaka <storchaka@gmail.com> parents: 70576 diff changeset	988 # mathmodule.c is failing to weed out underflows from libm, or
1feeeb8992f8 Issue #18702: All skipped tests now reported as skipped. Serhiy Storchaka <storchaka@gmail.com> parents: 70576 diff changeset	989 # we've got an fp format with huge dynamic range
1feeeb8992f8 Issue #18702: All skipped tests now reported as skipped. Serhiy Storchaka <storchaka@gmail.com> parents: 70576 diff changeset	990 self.fail("underflowing exp() should not have raised "
1feeeb8992f8 Issue #18702: All skipped tests now reported as skipped. Serhiy Storchaka <storchaka@gmail.com> parents: 70576 diff changeset	991 "an exception")
1feeeb8992f8 Issue #18702: All skipped tests now reported as skipped. Serhiy Storchaka <storchaka@gmail.com> parents: 70576 diff changeset	992 if x != 0:
1feeeb8992f8 Issue #18702: All skipped tests now reported as skipped. Serhiy Storchaka <storchaka@gmail.com> parents: 70576 diff changeset	993 self.fail("underflowing exp() should have returned 0")
15170 09c7ac188ce2 Stop raising OverflowError on underflows reported by libm (errno==ERANGE and Tim Peters <tim.peters@gmail.com> parents: 13912 diff changeset	994
86895 1feeeb8992f8 Issue #18702: All skipped tests now reported as skipped. Serhiy Storchaka <storchaka@gmail.com> parents: 70576 diff changeset	995 # If this fails, probably using a strict IEEE-754 conforming libm, and x
1feeeb8992f8 Issue #18702: All skipped tests now reported as skipped. Serhiy Storchaka <storchaka@gmail.com> parents: 70576 diff changeset	996 # is +Inf afterwards. But Python wants overflows detected by default.
1feeeb8992f8 Issue #18702: All skipped tests now reported as skipped. Serhiy Storchaka <storchaka@gmail.com> parents: 70576 diff changeset	997 try:
1feeeb8992f8 Issue #18702: All skipped tests now reported as skipped. Serhiy Storchaka <storchaka@gmail.com> parents: 70576 diff changeset	998 x = math.exp(1000000000)
1feeeb8992f8 Issue #18702: All skipped tests now reported as skipped. Serhiy Storchaka <storchaka@gmail.com> parents: 70576 diff changeset	999 except OverflowError:
1feeeb8992f8 Issue #18702: All skipped tests now reported as skipped. Serhiy Storchaka <storchaka@gmail.com> parents: 70576 diff changeset	1000 pass
1feeeb8992f8 Issue #18702: All skipped tests now reported as skipped. Serhiy Storchaka <storchaka@gmail.com> parents: 70576 diff changeset	1001 else:
1feeeb8992f8 Issue #18702: All skipped tests now reported as skipped. Serhiy Storchaka <storchaka@gmail.com> parents: 70576 diff changeset	1002 self.fail("overflowing exp() didn't trigger OverflowError")
15170 09c7ac188ce2 Stop raising OverflowError on underflows reported by libm (errno==ERANGE and Tim Peters <tim.peters@gmail.com> parents: 13912 diff changeset	1003
86895 1feeeb8992f8 Issue #18702: All skipped tests now reported as skipped. Serhiy Storchaka <storchaka@gmail.com> parents: 70576 diff changeset	1004 # If this fails, it could be a puzzle. One odd possibility is that
1feeeb8992f8 Issue #18702: All skipped tests now reported as skipped. Serhiy Storchaka <storchaka@gmail.com> parents: 70576 diff changeset	1005 # mathmodule.c's macros are getting confused while comparing
1feeeb8992f8 Issue #18702: All skipped tests now reported as skipped. Serhiy Storchaka <storchaka@gmail.com> parents: 70576 diff changeset	1006 # Inf (HUGE_VAL) to a NaN, and artificially setting errno to ERANGE
1feeeb8992f8 Issue #18702: All skipped tests now reported as skipped. Serhiy Storchaka <storchaka@gmail.com> parents: 70576 diff changeset	1007 # as a result (and so raising OverflowError instead).
1feeeb8992f8 Issue #18702: All skipped tests now reported as skipped. Serhiy Storchaka <storchaka@gmail.com> parents: 70576 diff changeset	1008 try:
1feeeb8992f8 Issue #18702: All skipped tests now reported as skipped. Serhiy Storchaka <storchaka@gmail.com> parents: 70576 diff changeset	1009 x = math.sqrt(-1.0)
1feeeb8992f8 Issue #18702: All skipped tests now reported as skipped. Serhiy Storchaka <storchaka@gmail.com> parents: 70576 diff changeset	1010 except ValueError:
1feeeb8992f8 Issue #18702: All skipped tests now reported as skipped. Serhiy Storchaka <storchaka@gmail.com> parents: 70576 diff changeset	1011 pass
1feeeb8992f8 Issue #18702: All skipped tests now reported as skipped. Serhiy Storchaka <storchaka@gmail.com> parents: 70576 diff changeset	1012 else:
1feeeb8992f8 Issue #18702: All skipped tests now reported as skipped. Serhiy Storchaka <storchaka@gmail.com> parents: 70576 diff changeset	1013 self.fail("sqrt(-1) didn't raise ValueError")
15247 dd0d199674f8 Test for math.* exceptional behavior only in verbose mode, so that the Tim Peters <tim.peters@gmail.com> parents: 15171 diff changeset	1014
56091 b0e5105ff97b Merged revisions 74925 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 55593 diff changeset	1015 @requires_IEEE_754
46477 b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	1016 def test_testfile(self):
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	1017 for id, fn, ar, ai, er, ei, flags in parse_testfile(test_file):
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	1018 # Skip if either the input or result is complex, or if
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	1019 # flags is nonempty
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	1020 if ai != 0. or ei != 0. or flags:
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	1021 continue
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	1022 if fn in ['rect', 'polar']:
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	1023 # no real versions of rect, polar
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	1024 continue
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	1025 func = getattr(math, fn)
46505 63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	1026 try:
63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	1027 result = func(ar)
46616 3f2117d3271f Make floating-point exception error messages slightly more verbose: in Mark Dickinson <dickinsm@gmail.com> parents: 46516 diff changeset	1028 except ValueError as exc:
3f2117d3271f Make floating-point exception error messages slightly more verbose: in Mark Dickinson <dickinsm@gmail.com> parents: 46516 diff changeset	1029 message = (("Unexpected ValueError: %s\n " +
3f2117d3271f Make floating-point exception error messages slightly more verbose: in Mark Dickinson <dickinsm@gmail.com> parents: 46516 diff changeset	1030 "in test %s:%s(%r)\n") % (exc.args[0], id, fn, ar))
46505 63965327b3ef Merged revisions 62386-62387,62389-62393,62396,62400-62402,62407,62409-62410,62412-62414,62418-62419 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 46477 diff changeset	1031 self.fail(message)
47320 3975ec2b0de2 Merged revisions 63542-63544,63546,63553,63563-63564,63567,63569,63576 via svnmerge from Benjamin Peterson <benjamin@python.org> parents: 47201 diff changeset	1032 except OverflowError:
3975ec2b0de2 Merged revisions 63542-63544,63546,63553,63563-63564,63567,63569,63576 via svnmerge from Benjamin Peterson <benjamin@python.org> parents: 47201 diff changeset	1033 message = ("Unexpected OverflowError in " +
3975ec2b0de2 Merged revisions 63542-63544,63546,63553,63563-63564,63567,63569,63576 via svnmerge from Benjamin Peterson <benjamin@python.org> parents: 47201 diff changeset	1034 "test %s:%s(%r)\n" % (id, fn, ar))
3975ec2b0de2 Merged revisions 63542-63544,63546,63553,63563-63564,63567,63569,63576 via svnmerge from Benjamin Peterson <benjamin@python.org> parents: 47201 diff changeset	1035 self.fail(message)
46477 b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	1036 self.ftest("%s:%s(%r)" % (id, fn, ar), result, er)
40450 cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	1037
66064 fdcaac0e010a Issue #10337: skip tests of tanh() sign in test_math and test_cmath if tanh() Victor Stinner <victor.stinner@haypocalc.com> parents: 65026 diff changeset	1038 @requires_IEEE_754
56270 47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	1039 def test_mtestfile(self):
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	1040 fail_fmt = "{}:{}({!r}): expected {!r}, got {!r}"
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	1041
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	1042 failures = []
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	1043 for id, fn, arg, expected, flags in parse_mtestfile(math_testcases):
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	1044 func = getattr(math, fn)
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	1045
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	1046 if 'invalid' in flags or 'divide-by-zero' in flags:
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	1047 expected = 'ValueError'
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	1048 elif 'overflow' in flags:
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	1049 expected = 'OverflowError'
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	1050
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	1051 try:
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	1052 got = func(arg)
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	1053 except ValueError:
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	1054 got = 'ValueError'
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	1055 except OverflowError:
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	1056 got = 'OverflowError'
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	1057
57660 7cb73e7c176d Merged revisions 76755 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56557 diff changeset	1058 accuracy_failure = None
56270 47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	1059 if isinstance(got, float) and isinstance(expected, float):
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	1060 if math.isnan(expected) and math.isnan(got):
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	1061 continue
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	1062 if not math.isnan(expected) and not math.isnan(got):
57758 b45ca11b9a3e Merged revisions 76861 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 57660 diff changeset	1063 if fn == 'lgamma':
b45ca11b9a3e Merged revisions 76861 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 57660 diff changeset	1064 # we use a weaker accuracy test for lgamma;
b45ca11b9a3e Merged revisions 76861 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 57660 diff changeset	1065 # lgamma only achieves an absolute error of
b45ca11b9a3e Merged revisions 76861 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 57660 diff changeset	1066 # a few multiples of the machine accuracy, in
b45ca11b9a3e Merged revisions 76861 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 57660 diff changeset	1067 # general.
57660 7cb73e7c176d Merged revisions 76755 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56557 diff changeset	1068 accuracy_failure = acc_check(expected, got,
7cb73e7c176d Merged revisions 76755 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56557 diff changeset	1069 rel_err = 5e-15,
7cb73e7c176d Merged revisions 76755 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56557 diff changeset	1070 abs_err = 5e-15)
62317 d064e8934f4d Merged revisions 81967 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 61599 diff changeset	1071 elif fn == 'erfc':
d064e8934f4d Merged revisions 81967 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 61599 diff changeset	1072 # erfc has less-than-ideal accuracy for large
d064e8934f4d Merged revisions 81967 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 61599 diff changeset	1073 # arguments (x ~ 25 or so), mainly due to the
d064e8934f4d Merged revisions 81967 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 61599 diff changeset	1074 # error involved in computing exp(-x*x).
d064e8934f4d Merged revisions 81967 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 61599 diff changeset	1075 #
d064e8934f4d Merged revisions 81967 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 61599 diff changeset	1076 # XXX Would be better to weaken this test only
d064e8934f4d Merged revisions 81967 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 61599 diff changeset	1077 # for large x, instead of for all x.
d064e8934f4d Merged revisions 81967 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 61599 diff changeset	1078 accuracy_failure = ulps_check(expected, got, 2000)
d064e8934f4d Merged revisions 81967 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 61599 diff changeset	1079
57660 7cb73e7c176d Merged revisions 76755 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56557 diff changeset	1080 else:
57758 b45ca11b9a3e Merged revisions 76861 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 57660 diff changeset	1081 accuracy_failure = ulps_check(expected, got, 20)
57660 7cb73e7c176d Merged revisions 76755 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56557 diff changeset	1082 if accuracy_failure is None:
56270 47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	1083 continue
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	1084
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	1085 if isinstance(got, str) and isinstance(expected, str):
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	1086 if got == expected:
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	1087 continue
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	1088
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	1089 fail_msg = fail_fmt.format(id, fn, arg, expected, got)
57660 7cb73e7c176d Merged revisions 76755 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56557 diff changeset	1090 if accuracy_failure is not None:
7cb73e7c176d Merged revisions 76755 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56557 diff changeset	1091 fail_msg += ' ({})'.format(accuracy_failure)
56270 47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	1092 failures.append(fail_msg)
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	1093
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	1094 if failures:
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	1095 self.fail('Failures in test_mtestfile:\n ' +
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	1096 '\n '.join(failures))
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	1097
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	1098
40450 cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	1099 def test_main():
46477 b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	1100 from doctest import DocFileSuite
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	1101 suite = unittest.TestSuite()
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	1102 suite.addTest(unittest.makeSuite(MathTests))
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	1103 suite.addTest(DocFileSuite("ieee754.txt"))
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	1104 run_unittest(suite)
40450 cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	1105
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	1106 if __name__ == '__main__':
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	1107 test_main()

Mercurial > cpython-lru_cache-weakref

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