cpython-lru_cache-weakref: Lib/test/test

annotate Lib/test/test_math.py @ 79691:05c8928362ee

Merge __next__ method link fixes with 3.3.

author	Ezio Melotti <ezio.melotti@gmail.com>
date	Fri, 12 Oct 2012 13:46:37 +0300
parents	566c42b0e750
children	1feeeb8992f8

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.
15170 09c7ac188ce2 Stop raising OverflowError on underflows reported by libm (errno==ERANGE and Tim Peters <tim.peters@gmail.com> parents: 13912 diff changeset	983
40450 cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	984 if verbose:
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	985 def test_exceptions(self):
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	986 try:
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	987 x = math.exp(-1000000000)
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	988 except:
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	989 # mathmodule.c is failing to weed out underflows from libm, or
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	990 # we've got an fp format with huge dynamic range
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	991 self.fail("underflowing exp() should not have raised "
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	992 "an exception")
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	993 if x != 0:
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	994 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	995
40450 cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	996 # If this fails, probably using a strict IEEE-754 conforming libm, and x
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	997 # is +Inf afterwards. But Python wants overflows detected by default.
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	998 try:
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	999 x = math.exp(1000000000)
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	1000 except OverflowError:
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	1001 pass
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	1002 else:
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	1003 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	1004
40450 cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	1005 # If this fails, it could be a puzzle. One odd possibility is that
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	1006 # mathmodule.c's macros are getting confused while comparing
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	1007 # Inf (HUGE_VAL) to a NaN, and artificially setting errno to ERANGE
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	1008 # as a result (and so raising OverflowError instead).
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	1009 try:
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	1010 x = math.sqrt(-1.0)
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	1011 except ValueError:
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	1012 pass
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	1013 else:
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	1014 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	1015
56091 b0e5105ff97b Merged revisions 74925 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 55593 diff changeset	1016 @requires_IEEE_754
46477 b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	1017 def test_testfile(self):
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	1018 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	1019 # 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	1020 # flags is nonempty
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	1021 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	1022 continue
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	1023 if fn in ['rect', 'polar']:
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	1024 # no real versions of rect, polar
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	1025 continue
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	1026 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	1027 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	1028 result = func(ar)
46616 3f2117d3271f Make floating-point exception error messages slightly more verbose: in Mark Dickinson <dickinsm@gmail.com> parents: 46516 diff changeset	1029 except ValueError as exc:
3f2117d3271f Make floating-point exception error messages slightly more verbose: in Mark Dickinson <dickinsm@gmail.com> parents: 46516 diff changeset	1030 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	1031 "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	1032 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	1033 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	1034 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	1035 "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	1036 self.fail(message)
46477 b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	1037 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	1038
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	1039 @requires_IEEE_754
56270 47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	1040 def test_mtestfile(self):
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	1041 fail_fmt = "{}:{}({!r}): expected {!r}, got {!r}"
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	1042
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	1043 failures = []
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	1044 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	1045 func = getattr(math, fn)
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	1046
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	1047 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	1048 expected = 'ValueError'
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	1049 elif 'overflow' in flags:
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	1050 expected = 'OverflowError'
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	1051
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	1052 try:
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	1053 got = func(arg)
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	1054 except ValueError:
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	1055 got = 'ValueError'
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	1056 except OverflowError:
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	1057 got = 'OverflowError'
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	1058
57660 7cb73e7c176d Merged revisions 76755 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56557 diff changeset	1059 accuracy_failure = None
56270 47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	1060 if isinstance(got, float) and isinstance(expected, float):
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	1061 if math.isnan(expected) and math.isnan(got):
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	1062 continue
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	1063 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	1064 if fn == 'lgamma':
b45ca11b9a3e Merged revisions 76861 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 57660 diff changeset	1065 # we use a weaker accuracy test for lgamma;
b45ca11b9a3e Merged revisions 76861 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 57660 diff changeset	1066 # lgamma only achieves an absolute error of
b45ca11b9a3e Merged revisions 76861 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 57660 diff changeset	1067 # a few multiples of the machine accuracy, in
b45ca11b9a3e Merged revisions 76861 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 57660 diff changeset	1068 # general.
57660 7cb73e7c176d Merged revisions 76755 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56557 diff changeset	1069 accuracy_failure = acc_check(expected, got,
7cb73e7c176d Merged revisions 76755 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56557 diff changeset	1070 rel_err = 5e-15,
7cb73e7c176d Merged revisions 76755 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56557 diff changeset	1071 abs_err = 5e-15)
62317 d064e8934f4d Merged revisions 81967 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 61599 diff changeset	1072 elif fn == 'erfc':
d064e8934f4d Merged revisions 81967 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 61599 diff changeset	1073 # erfc has less-than-ideal accuracy for large
d064e8934f4d Merged revisions 81967 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 61599 diff changeset	1074 # 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	1075 # error involved in computing exp(-x*x).
d064e8934f4d Merged revisions 81967 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 61599 diff changeset	1076 #
d064e8934f4d Merged revisions 81967 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 61599 diff changeset	1077 # 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	1078 # for large x, instead of for all x.
d064e8934f4d Merged revisions 81967 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 61599 diff changeset	1079 accuracy_failure = ulps_check(expected, got, 2000)
d064e8934f4d Merged revisions 81967 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 61599 diff changeset	1080
57660 7cb73e7c176d Merged revisions 76755 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56557 diff changeset	1081 else:
57758 b45ca11b9a3e Merged revisions 76861 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 57660 diff changeset	1082 accuracy_failure = ulps_check(expected, got, 20)
57660 7cb73e7c176d Merged revisions 76755 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56557 diff changeset	1083 if accuracy_failure is None:
56270 47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	1084 continue
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	1085
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	1086 if isinstance(got, str) and isinstance(expected, str):
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	1087 if got == expected:
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	1088 continue
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	1089
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	1090 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	1091 if accuracy_failure is not None:
7cb73e7c176d Merged revisions 76755 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56557 diff changeset	1092 fail_msg += ' ({})'.format(accuracy_failure)
56270 47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	1093 failures.append(fail_msg)
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	1094
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	1095 if failures:
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	1096 self.fail('Failures in test_mtestfile:\n ' +
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	1097 '\n '.join(failures))
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	1098
47b82fbdc2bb Merged revisions 75117 via svnmerge from Mark Dickinson <dickinsm@gmail.com> parents: 56091 diff changeset	1099
40450 cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	1100 def test_main():
46477 b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	1101 from doctest import DocFileSuite
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	1102 suite = unittest.TestSuite()
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	1103 suite.addTest(unittest.makeSuite(MathTests))
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	1104 suite.addTest(DocFileSuite("ieee754.txt"))
b69f443ef480 Merged revisions 62380,62382-62383 via svnmerge from Christian Heimes <christian@cheimes.de> parents: 45082 diff changeset	1105 run_unittest(suite)
40450 cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	1106
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	1107 if __name__ == '__main__':
cc992d75d5b3 Four months of trunk changes (including a few releases...) Thomas Wouters <thomas@python.org> parents: 31515 diff changeset	1108 test_main()

Mercurial > cpython-lru_cache-weakref

annotate Lib/test/test_math.py @ 79691:05c8928362ee