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Guido van Rossumfcce6301996-08-08 18:26:25 +00001# Python test set -- math module
2# XXXX Should not do tests around zero only
3
Georg Brandl2f037602006-10-28 13:51:49 +00004from test.test_support import run_unittest, verbose
5import unittest
6import math
Christian Heimes6f341092008-04-18 23:13:07 +00007import os
8import sys
Guido van Rossumfcce6301996-08-08 18:26:25 +00009
Christian Heimes6f341092008-04-18 23:13:07 +000010eps = 1E-05
11NAN = float('nan')
12INF = float('inf')
13NINF = float('-inf')
14
15# locate file with test values
16if __name__ == '__main__':
17 file = sys.argv[0]
18else:
19 file = __file__
20test_dir = os.path.dirname(file) or os.curdir
21test_file = os.path.join(test_dir, 'cmath_testcases.txt')
22
23def parse_testfile(fname):
24 """Parse a file with test values
25
26 Empty lines or lines starting with -- are ignored
27 yields id, fn, arg_real, arg_imag, exp_real, exp_imag
28 """
29 with open(fname) as fp:
30 for line in fp:
31 # skip comment lines and blank lines
32 if line.startswith('--') or not line.strip():
33 continue
34
35 lhs, rhs = line.split('->')
36 id, fn, arg_real, arg_imag = lhs.split()
37 rhs_pieces = rhs.split()
38 exp_real, exp_imag = rhs_pieces[0], rhs_pieces[1]
39 flags = rhs_pieces[2:]
40
41 yield (id, fn,
42 float(arg_real), float(arg_imag),
43 float(exp_real), float(exp_imag),
44 flags
45 )
Guido van Rossumfcce6301996-08-08 18:26:25 +000046
Georg Brandl2f037602006-10-28 13:51:49 +000047class MathTests(unittest.TestCase):
Guido van Rossumfcce6301996-08-08 18:26:25 +000048
Georg Brandl2f037602006-10-28 13:51:49 +000049 def ftest(self, name, value, expected):
50 if abs(value-expected) > eps:
Nick Coghlanec2ce9b2007-07-27 10:36:30 +000051 # Use %r instead of %f so the error message
52 # displays full precision. Otherwise discrepancies
53 # in the last few bits will lead to very confusing
54 # error messages
55 self.fail('%s returned %r, expected %r' %
Georg Brandl2f037602006-10-28 13:51:49 +000056 (name, value, expected))
Guido van Rossumfcce6301996-08-08 18:26:25 +000057
Georg Brandl2f037602006-10-28 13:51:49 +000058 def testConstants(self):
59 self.ftest('pi', math.pi, 3.1415926)
60 self.ftest('e', math.e, 2.7182818)
Guido van Rossumfcce6301996-08-08 18:26:25 +000061
Georg Brandl2f037602006-10-28 13:51:49 +000062 def testAcos(self):
Walter Dörwald92911bf2006-10-29 22:06:28 +000063 self.assertRaises(TypeError, math.acos)
Georg Brandl2f037602006-10-28 13:51:49 +000064 self.ftest('acos(-1)', math.acos(-1), math.pi)
65 self.ftest('acos(0)', math.acos(0), math.pi/2)
66 self.ftest('acos(1)', math.acos(1), 0)
Christian Heimes6f341092008-04-18 23:13:07 +000067 self.assertRaises(ValueError, math.acos, INF)
68 self.assertRaises(ValueError, math.acos, NINF)
69 self.assert_(math.isnan(math.acos(NAN)))
70
71 def testAcosh(self):
72 self.assertRaises(TypeError, math.acosh)
73 self.ftest('acosh(1)', math.acosh(1), 0)
74 self.ftest('acosh(2)', math.acosh(2), 1.3169578969248168)
75 self.assertRaises(ValueError, math.acosh, 0)
76 self.assertRaises(ValueError, math.acosh, -1)
77 self.assertEquals(math.acosh(INF), INF)
78 self.assertRaises(ValueError, math.acosh, NINF)
79 self.assert_(math.isnan(math.acosh(NAN)))
Guido van Rossumfcce6301996-08-08 18:26:25 +000080
Georg Brandl2f037602006-10-28 13:51:49 +000081 def testAsin(self):
Walter Dörwald92911bf2006-10-29 22:06:28 +000082 self.assertRaises(TypeError, math.asin)
Georg Brandl2f037602006-10-28 13:51:49 +000083 self.ftest('asin(-1)', math.asin(-1), -math.pi/2)
84 self.ftest('asin(0)', math.asin(0), 0)
85 self.ftest('asin(1)', math.asin(1), math.pi/2)
Christian Heimes6f341092008-04-18 23:13:07 +000086 self.assertRaises(ValueError, math.asin, INF)
87 self.assertRaises(ValueError, math.asin, NINF)
88 self.assert_(math.isnan(math.asin(NAN)))
89
90 def testAsinh(self):
91 self.assertRaises(TypeError, math.asinh)
92 self.ftest('asinh(0)', math.asinh(0), 0)
93 self.ftest('asinh(1)', math.asinh(1), 0.88137358701954305)
94 self.ftest('asinh(-1)', math.asinh(-1), -0.88137358701954305)
95 self.assertEquals(math.asinh(INF), INF)
96 self.assertEquals(math.asinh(NINF), NINF)
97 self.assert_(math.isnan(math.asinh(NAN)))
Guido van Rossumfcce6301996-08-08 18:26:25 +000098
Georg Brandl2f037602006-10-28 13:51:49 +000099 def testAtan(self):
Walter Dörwald92911bf2006-10-29 22:06:28 +0000100 self.assertRaises(TypeError, math.atan)
Georg Brandl2f037602006-10-28 13:51:49 +0000101 self.ftest('atan(-1)', math.atan(-1), -math.pi/4)
102 self.ftest('atan(0)', math.atan(0), 0)
103 self.ftest('atan(1)', math.atan(1), math.pi/4)
Christian Heimes6f341092008-04-18 23:13:07 +0000104 self.ftest('atan(inf)', math.atan(INF), math.pi/2)
Mark Dickinsone941d972008-04-19 18:51:48 +0000105 self.ftest('atan(-inf)', math.atan(NINF), -math.pi/2)
Christian Heimes6f341092008-04-18 23:13:07 +0000106 self.assert_(math.isnan(math.atan(NAN)))
107
108 def testAtanh(self):
109 self.assertRaises(TypeError, math.atan)
110 self.ftest('atanh(0)', math.atanh(0), 0)
111 self.ftest('atanh(0.5)', math.atanh(0.5), 0.54930614433405489)
112 self.ftest('atanh(-0.5)', math.atanh(-0.5), -0.54930614433405489)
113 self.assertRaises(ValueError, math.atanh, 1)
114 self.assertRaises(ValueError, math.atanh, -1)
115 self.assertRaises(ValueError, math.atanh, INF)
116 self.assertRaises(ValueError, math.atanh, NINF)
117 self.assert_(math.isnan(math.atanh(NAN)))
Guido van Rossumfcce6301996-08-08 18:26:25 +0000118
Georg Brandl2f037602006-10-28 13:51:49 +0000119 def testAtan2(self):
Walter Dörwald92911bf2006-10-29 22:06:28 +0000120 self.assertRaises(TypeError, math.atan2)
Georg Brandl2f037602006-10-28 13:51:49 +0000121 self.ftest('atan2(-1, 0)', math.atan2(-1, 0), -math.pi/2)
122 self.ftest('atan2(-1, 1)', math.atan2(-1, 1), -math.pi/4)
123 self.ftest('atan2(0, 1)', math.atan2(0, 1), 0)
124 self.ftest('atan2(1, 1)', math.atan2(1, 1), math.pi/4)
125 self.ftest('atan2(1, 0)', math.atan2(1, 0), math.pi/2)
Guido van Rossumfcce6301996-08-08 18:26:25 +0000126
Mark Dickinsond6d51482008-04-20 20:38:48 +0000127 # math.atan2(0, x)
128 self.ftest('atan2(0., -inf)', math.atan2(0., NINF), math.pi)
129 self.ftest('atan2(0., -2.3)', math.atan2(0., -2.3), math.pi)
130 self.ftest('atan2(0., -0.)', math.atan2(0., -0.), math.pi)
131 self.assertEqual(math.atan2(0., 0.), 0.)
132 self.assertEqual(math.atan2(0., 2.3), 0.)
133 self.assertEqual(math.atan2(0., INF), 0.)
134 self.assert_(math.isnan(math.atan2(0., NAN)))
135 # math.atan2(-0, x)
136 self.ftest('atan2(-0., -inf)', math.atan2(-0., NINF), -math.pi)
137 self.ftest('atan2(-0., -2.3)', math.atan2(-0., -2.3), -math.pi)
138 self.ftest('atan2(-0., -0.)', math.atan2(-0., -0.), -math.pi)
139 self.assertEqual(math.atan2(-0., 0.), -0.)
140 self.assertEqual(math.atan2(-0., 2.3), -0.)
141 self.assertEqual(math.atan2(-0., INF), -0.)
142 self.assert_(math.isnan(math.atan2(-0., NAN)))
143 # math.atan2(INF, x)
144 self.ftest('atan2(inf, -inf)', math.atan2(INF, NINF), math.pi*3/4)
145 self.ftest('atan2(inf, -2.3)', math.atan2(INF, -2.3), math.pi/2)
146 self.ftest('atan2(inf, -0.)', math.atan2(INF, -0.0), math.pi/2)
147 self.ftest('atan2(inf, 0.)', math.atan2(INF, 0.0), math.pi/2)
148 self.ftest('atan2(inf, 2.3)', math.atan2(INF, 2.3), math.pi/2)
149 self.ftest('atan2(inf, inf)', math.atan2(INF, INF), math.pi/4)
150 self.assert_(math.isnan(math.atan2(INF, NAN)))
151 # math.atan2(NINF, x)
152 self.ftest('atan2(-inf, -inf)', math.atan2(NINF, NINF), -math.pi*3/4)
153 self.ftest('atan2(-inf, -2.3)', math.atan2(NINF, -2.3), -math.pi/2)
154 self.ftest('atan2(-inf, -0.)', math.atan2(NINF, -0.0), -math.pi/2)
155 self.ftest('atan2(-inf, 0.)', math.atan2(NINF, 0.0), -math.pi/2)
156 self.ftest('atan2(-inf, 2.3)', math.atan2(NINF, 2.3), -math.pi/2)
157 self.ftest('atan2(-inf, inf)', math.atan2(NINF, INF), -math.pi/4)
158 self.assert_(math.isnan(math.atan2(NINF, NAN)))
159 # math.atan2(+finite, x)
160 self.ftest('atan2(2.3, -inf)', math.atan2(2.3, NINF), math.pi)
161 self.ftest('atan2(2.3, -0.)', math.atan2(2.3, -0.), math.pi/2)
162 self.ftest('atan2(2.3, 0.)', math.atan2(2.3, 0.), math.pi/2)
163 self.assertEqual(math.atan2(2.3, INF), 0.)
164 self.assert_(math.isnan(math.atan2(2.3, NAN)))
165 # math.atan2(-finite, x)
166 self.ftest('atan2(-2.3, -inf)', math.atan2(-2.3, NINF), -math.pi)
167 self.ftest('atan2(-2.3, -0.)', math.atan2(-2.3, -0.), -math.pi/2)
168 self.ftest('atan2(-2.3, 0.)', math.atan2(-2.3, 0.), -math.pi/2)
169 self.assertEqual(math.atan2(-2.3, INF), -0.)
170 self.assert_(math.isnan(math.atan2(-2.3, NAN)))
171 # math.atan2(NAN, x)
172 self.assert_(math.isnan(math.atan2(NAN, NINF)))
173 self.assert_(math.isnan(math.atan2(NAN, -2.3)))
174 self.assert_(math.isnan(math.atan2(NAN, -0.)))
175 self.assert_(math.isnan(math.atan2(NAN, 0.)))
176 self.assert_(math.isnan(math.atan2(NAN, 2.3)))
177 self.assert_(math.isnan(math.atan2(NAN, INF)))
178 self.assert_(math.isnan(math.atan2(NAN, NAN)))
179
Georg Brandl2f037602006-10-28 13:51:49 +0000180 def testCeil(self):
Walter Dörwald92911bf2006-10-29 22:06:28 +0000181 self.assertRaises(TypeError, math.ceil)
Jeffrey Yasskin737c73f2008-01-04 08:01:23 +0000182 # These types will be int in py3k.
183 self.assertEquals(float, type(math.ceil(1)))
184 self.assertEquals(float, type(math.ceil(1L)))
185 self.assertEquals(float, type(math.ceil(1.0)))
Georg Brandl2f037602006-10-28 13:51:49 +0000186 self.ftest('ceil(0.5)', math.ceil(0.5), 1)
187 self.ftest('ceil(1.0)', math.ceil(1.0), 1)
188 self.ftest('ceil(1.5)', math.ceil(1.5), 2)
189 self.ftest('ceil(-0.5)', math.ceil(-0.5), 0)
190 self.ftest('ceil(-1.0)', math.ceil(-1.0), -1)
191 self.ftest('ceil(-1.5)', math.ceil(-1.5), -1)
Christian Heimes6f341092008-04-18 23:13:07 +0000192 self.assertEquals(math.ceil(INF), INF)
193 self.assertEquals(math.ceil(NINF), NINF)
194 self.assert_(math.isnan(math.ceil(NAN)))
Guido van Rossumfcce6301996-08-08 18:26:25 +0000195
Jeffrey Yasskin2f3c16b2008-01-03 02:21:52 +0000196 class TestCeil(object):
Jeffrey Yasskin9871d8f2008-01-05 08:47:13 +0000197 def __float__(self):
198 return 41.3
Jeffrey Yasskin2f3c16b2008-01-03 02:21:52 +0000199 class TestNoCeil(object):
200 pass
201 self.ftest('ceil(TestCeil())', math.ceil(TestCeil()), 42)
202 self.assertRaises(TypeError, math.ceil, TestNoCeil())
203
204 t = TestNoCeil()
205 t.__ceil__ = lambda *args: args
206 self.assertRaises(TypeError, math.ceil, t)
207 self.assertRaises(TypeError, math.ceil, t, 0)
208
Christian Heimes6f341092008-04-18 23:13:07 +0000209 if float.__getformat__("double").startswith("IEEE"):
210 def testCopysign(self):
211 self.assertRaises(TypeError, math.copysign)
212 # copysign should let us distinguish signs of zeros
213 self.assertEquals(copysign(1., 0.), 1.)
214 self.assertEquals(copysign(1., -0.), -1.)
215 self.assertEquals(copysign(INF, 0.), INF)
216 self.assertEquals(copysign(INF, -0.), NINF)
217 self.assertEquals(copysign(NINF, 0.), INF)
218 self.assertEquals(copysign(NINF, -0.), NINF)
219 # and of infinities
220 self.assertEquals(copysign(1., INF), 1.)
221 self.assertEquals(copysign(1., NINF), -1.)
222 self.assertEquals(copysign(INF, INF), INF)
223 self.assertEquals(copysign(INF, NINF), NINF)
224 self.assertEquals(copysign(NINF, INF), INF)
225 self.assertEquals(copysign(NINF, NINF), NINF)
226 self.assert_(math.isnan(copysign(NAN, 1.)))
227 self.assert_(math.isnan(copysign(NAN, INF)))
228 self.assert_(math.isnan(copysign(NAN, NINF)))
229 self.assert_(math.isnan(copysign(NAN, NAN)))
230 # copysign(INF, NAN) may be INF or it may be NINF, since
231 # we don't know whether the sign bit of NAN is set on any
232 # given platform.
233 self.assert_(math.isinf(copysign(INF, NAN)))
234 # similarly, copysign(2., NAN) could be 2. or -2.
235 self.assertEquals(abs(copysign(2., NAN)), 2.)
236
Georg Brandl2f037602006-10-28 13:51:49 +0000237 def testCos(self):
Walter Dörwald92911bf2006-10-29 22:06:28 +0000238 self.assertRaises(TypeError, math.cos)
Georg Brandl2f037602006-10-28 13:51:49 +0000239 self.ftest('cos(-pi/2)', math.cos(-math.pi/2), 0)
240 self.ftest('cos(0)', math.cos(0), 1)
241 self.ftest('cos(pi/2)', math.cos(math.pi/2), 0)
242 self.ftest('cos(pi)', math.cos(math.pi), -1)
Christian Heimes6f341092008-04-18 23:13:07 +0000243 try:
244 self.assert_(math.isnan(math.cos(INF)))
245 self.assert_(math.isnan(math.cos(NINF)))
246 except ValueError:
247 self.assertRaises(ValueError, math.cos, INF)
248 self.assertRaises(ValueError, math.cos, NINF)
249 self.assert_(math.isnan(math.cos(NAN)))
Guido van Rossumfcce6301996-08-08 18:26:25 +0000250
Georg Brandl2f037602006-10-28 13:51:49 +0000251 def testCosh(self):
Walter Dörwald92911bf2006-10-29 22:06:28 +0000252 self.assertRaises(TypeError, math.cosh)
Georg Brandl2f037602006-10-28 13:51:49 +0000253 self.ftest('cosh(0)', math.cosh(0), 1)
254 self.ftest('cosh(2)-2*cosh(1)**2', math.cosh(2)-2*math.cosh(1)**2, -1) # Thanks to Lambert
Christian Heimes6f341092008-04-18 23:13:07 +0000255 self.assertEquals(math.cosh(INF), INF)
256 self.assertEquals(math.cosh(NINF), INF)
257 self.assert_(math.isnan(math.cosh(NAN)))
Raymond Hettinger64108af2002-05-13 03:55:01 +0000258
Georg Brandl2f037602006-10-28 13:51:49 +0000259 def testDegrees(self):
Walter Dörwald92911bf2006-10-29 22:06:28 +0000260 self.assertRaises(TypeError, math.degrees)
Georg Brandl2f037602006-10-28 13:51:49 +0000261 self.ftest('degrees(pi)', math.degrees(math.pi), 180.0)
262 self.ftest('degrees(pi/2)', math.degrees(math.pi/2), 90.0)
263 self.ftest('degrees(-pi/4)', math.degrees(-math.pi/4), -45.0)
Guido van Rossumfcce6301996-08-08 18:26:25 +0000264
Georg Brandl2f037602006-10-28 13:51:49 +0000265 def testExp(self):
Walter Dörwald92911bf2006-10-29 22:06:28 +0000266 self.assertRaises(TypeError, math.exp)
Georg Brandl2f037602006-10-28 13:51:49 +0000267 self.ftest('exp(-1)', math.exp(-1), 1/math.e)
268 self.ftest('exp(0)', math.exp(0), 1)
269 self.ftest('exp(1)', math.exp(1), math.e)
Christian Heimes6f341092008-04-18 23:13:07 +0000270 self.assertEquals(math.exp(INF), INF)
271 self.assertEquals(math.exp(NINF), 0.)
272 self.assert_(math.isnan(math.exp(NAN)))
Guido van Rossumfcce6301996-08-08 18:26:25 +0000273
Georg Brandl2f037602006-10-28 13:51:49 +0000274 def testFabs(self):
Walter Dörwald92911bf2006-10-29 22:06:28 +0000275 self.assertRaises(TypeError, math.fabs)
Georg Brandl2f037602006-10-28 13:51:49 +0000276 self.ftest('fabs(-1)', math.fabs(-1), 1)
277 self.ftest('fabs(0)', math.fabs(0), 0)
278 self.ftest('fabs(1)', math.fabs(1), 1)
Guido van Rossumfcce6301996-08-08 18:26:25 +0000279
Georg Brandl2f037602006-10-28 13:51:49 +0000280 def testFloor(self):
Walter Dörwald92911bf2006-10-29 22:06:28 +0000281 self.assertRaises(TypeError, math.floor)
Jeffrey Yasskin737c73f2008-01-04 08:01:23 +0000282 # These types will be int in py3k.
283 self.assertEquals(float, type(math.floor(1)))
284 self.assertEquals(float, type(math.floor(1L)))
285 self.assertEquals(float, type(math.floor(1.0)))
Georg Brandl2f037602006-10-28 13:51:49 +0000286 self.ftest('floor(0.5)', math.floor(0.5), 0)
287 self.ftest('floor(1.0)', math.floor(1.0), 1)
288 self.ftest('floor(1.5)', math.floor(1.5), 1)
289 self.ftest('floor(-0.5)', math.floor(-0.5), -1)
290 self.ftest('floor(-1.0)', math.floor(-1.0), -1)
291 self.ftest('floor(-1.5)', math.floor(-1.5), -2)
Nick Coghlan00f20292007-07-26 14:03:00 +0000292 # pow() relies on floor() to check for integers
293 # This fails on some platforms - so check it here
294 self.ftest('floor(1.23e167)', math.floor(1.23e167), 1.23e167)
295 self.ftest('floor(-1.23e167)', math.floor(-1.23e167), -1.23e167)
Christian Heimes6f341092008-04-18 23:13:07 +0000296 self.assertEquals(math.ceil(INF), INF)
297 self.assertEquals(math.ceil(NINF), NINF)
298 self.assert_(math.isnan(math.floor(NAN)))
Guido van Rossumfcce6301996-08-08 18:26:25 +0000299
Jeffrey Yasskin2f3c16b2008-01-03 02:21:52 +0000300 class TestFloor(object):
Jeffrey Yasskin9871d8f2008-01-05 08:47:13 +0000301 def __float__(self):
302 return 42.3
Jeffrey Yasskin2f3c16b2008-01-03 02:21:52 +0000303 class TestNoFloor(object):
304 pass
305 self.ftest('floor(TestFloor())', math.floor(TestFloor()), 42)
306 self.assertRaises(TypeError, math.floor, TestNoFloor())
307
308 t = TestNoFloor()
309 t.__floor__ = lambda *args: args
310 self.assertRaises(TypeError, math.floor, t)
311 self.assertRaises(TypeError, math.floor, t, 0)
312
Georg Brandl2f037602006-10-28 13:51:49 +0000313 def testFmod(self):
Walter Dörwald92911bf2006-10-29 22:06:28 +0000314 self.assertRaises(TypeError, math.fmod)
Georg Brandl2f037602006-10-28 13:51:49 +0000315 self.ftest('fmod(10,1)', math.fmod(10,1), 0)
316 self.ftest('fmod(10,0.5)', math.fmod(10,0.5), 0)
317 self.ftest('fmod(10,1.5)', math.fmod(10,1.5), 1)
318 self.ftest('fmod(-10,1)', math.fmod(-10,1), 0)
319 self.ftest('fmod(-10,0.5)', math.fmod(-10,0.5), 0)
320 self.ftest('fmod(-10,1.5)', math.fmod(-10,1.5), -1)
Christian Heimes6f341092008-04-18 23:13:07 +0000321 self.assert_(math.isnan(math.fmod(NAN, 1.)))
322 self.assert_(math.isnan(math.fmod(1., NAN)))
323 self.assert_(math.isnan(math.fmod(NAN, NAN)))
324 self.assertRaises(ValueError, math.fmod, 1., 0.)
325 self.assertRaises(ValueError, math.fmod, INF, 1.)
326 self.assertRaises(ValueError, math.fmod, NINF, 1.)
327 self.assertRaises(ValueError, math.fmod, INF, 0.)
328 self.assertEquals(math.fmod(3.0, INF), 3.0)
329 self.assertEquals(math.fmod(-3.0, INF), -3.0)
330 self.assertEquals(math.fmod(3.0, NINF), 3.0)
331 self.assertEquals(math.fmod(-3.0, NINF), -3.0)
332 self.assertEquals(math.fmod(0.0, 3.0), 0.0)
333 self.assertEquals(math.fmod(0.0, NINF), 0.0)
Guido van Rossumfcce6301996-08-08 18:26:25 +0000334
Georg Brandl2f037602006-10-28 13:51:49 +0000335 def testFrexp(self):
Walter Dörwald92911bf2006-10-29 22:06:28 +0000336 self.assertRaises(TypeError, math.frexp)
337
Georg Brandl2f037602006-10-28 13:51:49 +0000338 def testfrexp(name, (mant, exp), (emant, eexp)):
339 if abs(mant-emant) > eps or exp != eexp:
340 self.fail('%s returned %r, expected %r'%\
341 (name, (mant, exp), (emant,eexp)))
Guido van Rossumfcce6301996-08-08 18:26:25 +0000342
Georg Brandl2f037602006-10-28 13:51:49 +0000343 testfrexp('frexp(-1)', math.frexp(-1), (-0.5, 1))
344 testfrexp('frexp(0)', math.frexp(0), (0, 0))
345 testfrexp('frexp(1)', math.frexp(1), (0.5, 1))
346 testfrexp('frexp(2)', math.frexp(2), (0.5, 2))
Guido van Rossumfcce6301996-08-08 18:26:25 +0000347
Christian Heimes6f341092008-04-18 23:13:07 +0000348 self.assertEquals(math.frexp(INF)[0], INF)
349 self.assertEquals(math.frexp(NINF)[0], NINF)
350 self.assert_(math.isnan(math.frexp(NAN)[0]))
351
Georg Brandl2f037602006-10-28 13:51:49 +0000352 def testHypot(self):
Walter Dörwald92911bf2006-10-29 22:06:28 +0000353 self.assertRaises(TypeError, math.hypot)
Georg Brandl2f037602006-10-28 13:51:49 +0000354 self.ftest('hypot(0,0)', math.hypot(0,0), 0)
355 self.ftest('hypot(3,4)', math.hypot(3,4), 5)
Christian Heimes6f341092008-04-18 23:13:07 +0000356 self.assertEqual(math.hypot(NAN, INF), INF)
357 self.assertEqual(math.hypot(INF, NAN), INF)
358 self.assertEqual(math.hypot(NAN, NINF), INF)
359 self.assertEqual(math.hypot(NINF, NAN), INF)
360 self.assert_(math.isnan(math.hypot(1.0, NAN)))
361 self.assert_(math.isnan(math.hypot(NAN, -2.0)))
Guido van Rossumfcce6301996-08-08 18:26:25 +0000362
Georg Brandl2f037602006-10-28 13:51:49 +0000363 def testLdexp(self):
Walter Dörwald92911bf2006-10-29 22:06:28 +0000364 self.assertRaises(TypeError, math.ldexp)
Georg Brandl2f037602006-10-28 13:51:49 +0000365 self.ftest('ldexp(0,1)', math.ldexp(0,1), 0)
366 self.ftest('ldexp(1,1)', math.ldexp(1,1), 2)
367 self.ftest('ldexp(1,-1)', math.ldexp(1,-1), 0.5)
368 self.ftest('ldexp(-1,1)', math.ldexp(-1,1), -2)
Christian Heimes6f341092008-04-18 23:13:07 +0000369 self.assertRaises(OverflowError, math.ldexp, 1., 1000000)
370 self.assertRaises(OverflowError, math.ldexp, -1., 1000000)
371 self.assertEquals(math.ldexp(1., -1000000), 0.)
372 self.assertEquals(math.ldexp(-1., -1000000), -0.)
373 self.assertEquals(math.ldexp(INF, 30), INF)
374 self.assertEquals(math.ldexp(NINF, -213), NINF)
375 self.assert_(math.isnan(math.ldexp(NAN, 0)))
Guido van Rossumfcce6301996-08-08 18:26:25 +0000376
Georg Brandl2f037602006-10-28 13:51:49 +0000377 def testLog(self):
Walter Dörwald92911bf2006-10-29 22:06:28 +0000378 self.assertRaises(TypeError, math.log)
Georg Brandl2f037602006-10-28 13:51:49 +0000379 self.ftest('log(1/e)', math.log(1/math.e), -1)
380 self.ftest('log(1)', math.log(1), 0)
381 self.ftest('log(e)', math.log(math.e), 1)
382 self.ftest('log(32,2)', math.log(32,2), 5)
383 self.ftest('log(10**40, 10)', math.log(10**40, 10), 40)
384 self.ftest('log(10**40, 10**20)', math.log(10**40, 10**20), 2)
Christian Heimes6f341092008-04-18 23:13:07 +0000385 self.assertEquals(math.log(INF), INF)
386 self.assertRaises(ValueError, math.log, NINF)
387 self.assert_(math.isnan(math.log(NAN)))
388
389 def testLog1p(self):
390 self.assertRaises(TypeError, math.log1p)
391 self.ftest('log1p(1/e -1)', math.log1p(1/math.e-1), -1)
392 self.ftest('log1p(0)', math.log1p(0), 0)
393 self.ftest('log1p(e-1)', math.log1p(math.e-1), 1)
394 self.ftest('log1p(1)', math.log1p(1), math.log(2))
395 self.assertEquals(math.log1p(INF), INF)
396 self.assertRaises(ValueError, math.log1p, NINF)
397 self.assert_(math.isnan(math.log1p(NAN)))
398 n= 2**90
399 self.assertAlmostEquals(math.log1p(n), 62.383246250395075)
400 self.assertAlmostEquals(math.log1p(n), math.log1p(float(n)))
Guido van Rossumfcce6301996-08-08 18:26:25 +0000401
Georg Brandl2f037602006-10-28 13:51:49 +0000402 def testLog10(self):
Walter Dörwald92911bf2006-10-29 22:06:28 +0000403 self.assertRaises(TypeError, math.log10)
Georg Brandl2f037602006-10-28 13:51:49 +0000404 self.ftest('log10(0.1)', math.log10(0.1), -1)
405 self.ftest('log10(1)', math.log10(1), 0)
406 self.ftest('log10(10)', math.log10(10), 1)
Christian Heimes6f341092008-04-18 23:13:07 +0000407 self.assertEquals(math.log(INF), INF)
408 self.assertRaises(ValueError, math.log10, NINF)
409 self.assert_(math.isnan(math.log10(NAN)))
Guido van Rossumfcce6301996-08-08 18:26:25 +0000410
Georg Brandl2f037602006-10-28 13:51:49 +0000411 def testModf(self):
Walter Dörwald92911bf2006-10-29 22:06:28 +0000412 self.assertRaises(TypeError, math.modf)
413
Georg Brandl2f037602006-10-28 13:51:49 +0000414 def testmodf(name, (v1, v2), (e1, e2)):
415 if abs(v1-e1) > eps or abs(v2-e2):
416 self.fail('%s returned %r, expected %r'%\
417 (name, (v1,v2), (e1,e2)))
Guido van Rossumfcce6301996-08-08 18:26:25 +0000418
Georg Brandl2f037602006-10-28 13:51:49 +0000419 testmodf('modf(1.5)', math.modf(1.5), (0.5, 1.0))
420 testmodf('modf(-1.5)', math.modf(-1.5), (-0.5, -1.0))
Tim Petersabd8a332006-11-03 02:32:46 +0000421
Christian Heimes6f341092008-04-18 23:13:07 +0000422 self.assertEquals(math.modf(INF), (0.0, INF))
423 self.assertEquals(math.modf(NINF), (-0.0, NINF))
424
425 modf_nan = math.modf(NAN)
426 self.assert_(math.isnan(modf_nan[0]))
427 self.assert_(math.isnan(modf_nan[1]))
428
Georg Brandl2f037602006-10-28 13:51:49 +0000429 def testPow(self):
Walter Dörwald92911bf2006-10-29 22:06:28 +0000430 self.assertRaises(TypeError, math.pow)
Georg Brandl2f037602006-10-28 13:51:49 +0000431 self.ftest('pow(0,1)', math.pow(0,1), 0)
432 self.ftest('pow(1,0)', math.pow(1,0), 1)
433 self.ftest('pow(2,1)', math.pow(2,1), 2)
434 self.ftest('pow(2,-1)', math.pow(2,-1), 0.5)
Christian Heimes6f341092008-04-18 23:13:07 +0000435 self.assertEqual(math.pow(INF, 1), INF)
436 self.assertEqual(math.pow(NINF, 1), NINF)
437 self.assertEqual((math.pow(1, INF)), 1.)
438 self.assertEqual((math.pow(1, NINF)), 1.)
439 self.assert_(math.isnan(math.pow(NAN, 1)))
440 self.assert_(math.isnan(math.pow(2, NAN)))
441 self.assert_(math.isnan(math.pow(0, NAN)))
442 self.assertEqual(math.pow(1, NAN), 1)
Mark Dickinsone941d972008-04-19 18:51:48 +0000443
444 # pow(0., x)
445 self.assertEqual(math.pow(0., INF), 0.)
446 self.assertEqual(math.pow(0., 3.), 0.)
447 self.assertEqual(math.pow(0., 2.3), 0.)
448 self.assertEqual(math.pow(0., 2.), 0.)
449 self.assertEqual(math.pow(0., 0.), 1.)
450 self.assertEqual(math.pow(0., -0.), 1.)
451 self.assertRaises(ValueError, math.pow, 0., -2.)
452 self.assertRaises(ValueError, math.pow, 0., -2.3)
453 self.assertRaises(ValueError, math.pow, 0., -3.)
454 self.assertRaises(ValueError, math.pow, 0., NINF)
455 self.assert_(math.isnan(math.pow(0., NAN)))
456
457 # pow(INF, x)
458 self.assertEqual(math.pow(INF, INF), INF)
459 self.assertEqual(math.pow(INF, 3.), INF)
460 self.assertEqual(math.pow(INF, 2.3), INF)
461 self.assertEqual(math.pow(INF, 2.), INF)
462 self.assertEqual(math.pow(INF, 0.), 1.)
463 self.assertEqual(math.pow(INF, -0.), 1.)
464 self.assertEqual(math.pow(INF, -2.), 0.)
465 self.assertEqual(math.pow(INF, -2.3), 0.)
466 self.assertEqual(math.pow(INF, -3.), 0.)
467 self.assertEqual(math.pow(INF, NINF), 0.)
468 self.assert_(math.isnan(math.pow(INF, NAN)))
469
470 # pow(-0., x)
471 self.assertEqual(math.pow(-0., INF), 0.)
472 self.assertEqual(math.pow(-0., 3.), -0.)
473 self.assertEqual(math.pow(-0., 2.3), 0.)
474 self.assertEqual(math.pow(-0., 2.), 0.)
475 self.assertEqual(math.pow(-0., 0.), 1.)
476 self.assertEqual(math.pow(-0., -0.), 1.)
477 self.assertRaises(ValueError, math.pow, -0., -2.)
478 self.assertRaises(ValueError, math.pow, -0., -2.3)
479 self.assertRaises(ValueError, math.pow, -0., -3.)
480 self.assertRaises(ValueError, math.pow, -0., NINF)
481 self.assert_(math.isnan(math.pow(-0., NAN)))
482
483 # pow(NINF, x)
484 self.assertEqual(math.pow(NINF, INF), INF)
485 self.assertEqual(math.pow(NINF, 3.), NINF)
486 self.assertEqual(math.pow(NINF, 2.3), INF)
487 self.assertEqual(math.pow(NINF, 2.), INF)
488 self.assertEqual(math.pow(NINF, 0.), 1.)
489 self.assertEqual(math.pow(NINF, -0.), 1.)
490 self.assertEqual(math.pow(NINF, -2.), 0.)
491 self.assertEqual(math.pow(NINF, -2.3), 0.)
492 self.assertEqual(math.pow(NINF, -3.), -0.)
493 self.assertEqual(math.pow(NINF, NINF), 0.)
494 self.assert_(math.isnan(math.pow(NINF, NAN)))
495
496 # pow(-1, x)
497 self.assertEqual(math.pow(-1., INF), 1.)
498 self.assertEqual(math.pow(-1., 3.), -1.)
499 self.assertRaises(ValueError, math.pow, -1., 2.3)
500 self.assertEqual(math.pow(-1., 2.), 1.)
501 self.assertEqual(math.pow(-1., 0.), 1.)
502 self.assertEqual(math.pow(-1., -0.), 1.)
503 self.assertEqual(math.pow(-1., -2.), 1.)
504 self.assertRaises(ValueError, math.pow, -1., -2.3)
505 self.assertEqual(math.pow(-1., -3.), -1.)
506 self.assertEqual(math.pow(-1., NINF), 1.)
507 self.assert_(math.isnan(math.pow(-1., NAN)))
508
509 # pow(1, x)
510 self.assertEqual(math.pow(1., INF), 1.)
511 self.assertEqual(math.pow(1., 3.), 1.)
512 self.assertEqual(math.pow(1., 2.3), 1.)
513 self.assertEqual(math.pow(1., 2.), 1.)
514 self.assertEqual(math.pow(1., 0.), 1.)
515 self.assertEqual(math.pow(1., -0.), 1.)
516 self.assertEqual(math.pow(1., -2.), 1.)
517 self.assertEqual(math.pow(1., -2.3), 1.)
518 self.assertEqual(math.pow(1., -3.), 1.)
519 self.assertEqual(math.pow(1., NINF), 1.)
520 self.assertEqual(math.pow(1., NAN), 1.)
521
522 # pow(x, 0) should be 1 for any x
523 self.assertEqual(math.pow(2.3, 0.), 1.)
524 self.assertEqual(math.pow(-2.3, 0.), 1.)
525 self.assertEqual(math.pow(NAN, 0.), 1.)
526 self.assertEqual(math.pow(2.3, -0.), 1.)
527 self.assertEqual(math.pow(-2.3, -0.), 1.)
528 self.assertEqual(math.pow(NAN, -0.), 1.)
529
530 # pow(x, y) is invalid if x is negative and y is not integral
531 self.assertRaises(ValueError, math.pow, -1., 2.3)
532 self.assertRaises(ValueError, math.pow, -15., -3.1)
533
534 # pow(x, NINF)
535 self.assertEqual(math.pow(1.9, NINF), 0.)
536 self.assertEqual(math.pow(1.1, NINF), 0.)
537 self.assertEqual(math.pow(0.9, NINF), INF)
538 self.assertEqual(math.pow(0.1, NINF), INF)
539 self.assertEqual(math.pow(-0.1, NINF), INF)
540 self.assertEqual(math.pow(-0.9, NINF), INF)
541 self.assertEqual(math.pow(-1.1, NINF), 0.)
542 self.assertEqual(math.pow(-1.9, NINF), 0.)
543
544 # pow(x, INF)
545 self.assertEqual(math.pow(1.9, INF), INF)
546 self.assertEqual(math.pow(1.1, INF), INF)
547 self.assertEqual(math.pow(0.9, INF), 0.)
548 self.assertEqual(math.pow(0.1, INF), 0.)
549 self.assertEqual(math.pow(-0.1, INF), 0.)
550 self.assertEqual(math.pow(-0.9, INF), 0.)
551 self.assertEqual(math.pow(-1.1, INF), INF)
552 self.assertEqual(math.pow(-1.9, INF), INF)
553
Mark Dickinsoncec3f132008-04-20 04:13:13 +0000554 # pow(x, y) should work for x negative, y an integer
555 self.ftest('(-2.)**3.', math.pow(-2.0, 3.0), -8.0)
556 self.ftest('(-2.)**2.', math.pow(-2.0, 2.0), 4.0)
557 self.ftest('(-2.)**1.', math.pow(-2.0, 1.0), -2.0)
558 self.ftest('(-2.)**0.', math.pow(-2.0, 0.0), 1.0)
559 self.ftest('(-2.)**-0.', math.pow(-2.0, -0.0), 1.0)
560 self.ftest('(-2.)**-1.', math.pow(-2.0, -1.0), -0.5)
561 self.ftest('(-2.)**-2.', math.pow(-2.0, -2.0), 0.25)
562 self.ftest('(-2.)**-3.', math.pow(-2.0, -3.0), -0.125)
563 self.assertRaises(ValueError, math.pow, -2.0, -0.5)
564 self.assertRaises(ValueError, math.pow, -2.0, 0.5)
565
Mark Dickinsone941d972008-04-19 18:51:48 +0000566 # the following tests have been commented out since they don't
567 # really belong here: the implementation of ** for floats is
568 # independent of the implemention of math.pow
569 #self.assertEqual(1**NAN, 1)
570 #self.assertEqual(1**INF, 1)
571 #self.assertEqual(1**NINF, 1)
572 #self.assertEqual(1**0, 1)
573 #self.assertEqual(1.**NAN, 1)
574 #self.assertEqual(1.**INF, 1)
575 #self.assertEqual(1.**NINF, 1)
576 #self.assertEqual(1.**0, 1)
Guido van Rossumfcce6301996-08-08 18:26:25 +0000577
Georg Brandl2f037602006-10-28 13:51:49 +0000578 def testRadians(self):
Walter Dörwald92911bf2006-10-29 22:06:28 +0000579 self.assertRaises(TypeError, math.radians)
Georg Brandl2f037602006-10-28 13:51:49 +0000580 self.ftest('radians(180)', math.radians(180), math.pi)
581 self.ftest('radians(90)', math.radians(90), math.pi/2)
582 self.ftest('radians(-45)', math.radians(-45), -math.pi/4)
Raymond Hettinger64108af2002-05-13 03:55:01 +0000583
Georg Brandl2f037602006-10-28 13:51:49 +0000584 def testSin(self):
Walter Dörwald92911bf2006-10-29 22:06:28 +0000585 self.assertRaises(TypeError, math.sin)
Georg Brandl2f037602006-10-28 13:51:49 +0000586 self.ftest('sin(0)', math.sin(0), 0)
587 self.ftest('sin(pi/2)', math.sin(math.pi/2), 1)
588 self.ftest('sin(-pi/2)', math.sin(-math.pi/2), -1)
Christian Heimes6f341092008-04-18 23:13:07 +0000589 try:
590 self.assert_(math.isnan(math.sin(INF)))
591 self.assert_(math.isnan(math.sin(NINF)))
592 except ValueError:
593 self.assertRaises(ValueError, math.sin, INF)
594 self.assertRaises(ValueError, math.sin, NINF)
595 self.assert_(math.isnan(math.sin(NAN)))
Guido van Rossumfcce6301996-08-08 18:26:25 +0000596
Georg Brandl2f037602006-10-28 13:51:49 +0000597 def testSinh(self):
Walter Dörwald92911bf2006-10-29 22:06:28 +0000598 self.assertRaises(TypeError, math.sinh)
Georg Brandl2f037602006-10-28 13:51:49 +0000599 self.ftest('sinh(0)', math.sinh(0), 0)
600 self.ftest('sinh(1)**2-cosh(1)**2', math.sinh(1)**2-math.cosh(1)**2, -1)
601 self.ftest('sinh(1)+sinh(-1)', math.sinh(1)+math.sinh(-1), 0)
Christian Heimes6f341092008-04-18 23:13:07 +0000602 self.assertEquals(math.sinh(INF), INF)
Mark Dickinsone941d972008-04-19 18:51:48 +0000603 self.assertEquals(math.sinh(NINF), NINF)
Christian Heimes6f341092008-04-18 23:13:07 +0000604 self.assert_(math.isnan(math.sinh(NAN)))
Guido van Rossumfcce6301996-08-08 18:26:25 +0000605
Georg Brandl2f037602006-10-28 13:51:49 +0000606 def testSqrt(self):
Walter Dörwald92911bf2006-10-29 22:06:28 +0000607 self.assertRaises(TypeError, math.sqrt)
Georg Brandl2f037602006-10-28 13:51:49 +0000608 self.ftest('sqrt(0)', math.sqrt(0), 0)
609 self.ftest('sqrt(1)', math.sqrt(1), 1)
610 self.ftest('sqrt(4)', math.sqrt(4), 2)
Christian Heimes6f341092008-04-18 23:13:07 +0000611 self.assertEquals(math.sqrt(INF), INF)
612 self.assertRaises(ValueError, math.sqrt, NINF)
613 self.assert_(math.isnan(math.sqrt(NAN)))
Guido van Rossumfcce6301996-08-08 18:26:25 +0000614
Georg Brandl2f037602006-10-28 13:51:49 +0000615 def testTan(self):
Walter Dörwald92911bf2006-10-29 22:06:28 +0000616 self.assertRaises(TypeError, math.tan)
Georg Brandl2f037602006-10-28 13:51:49 +0000617 self.ftest('tan(0)', math.tan(0), 0)
618 self.ftest('tan(pi/4)', math.tan(math.pi/4), 1)
619 self.ftest('tan(-pi/4)', math.tan(-math.pi/4), -1)
Christian Heimes6f341092008-04-18 23:13:07 +0000620 try:
621 self.assert_(math.isnan(math.tan(INF)))
622 self.assert_(math.isnan(math.tan(NINF)))
623 except:
624 self.assertRaises(ValueError, math.tan, INF)
625 self.assertRaises(ValueError, math.tan, NINF)
626 self.assert_(math.isnan(math.tan(NAN)))
Guido van Rossumfcce6301996-08-08 18:26:25 +0000627
Georg Brandl2f037602006-10-28 13:51:49 +0000628 def testTanh(self):
Walter Dörwald92911bf2006-10-29 22:06:28 +0000629 self.assertRaises(TypeError, math.tanh)
Georg Brandl2f037602006-10-28 13:51:49 +0000630 self.ftest('tanh(0)', math.tanh(0), 0)
631 self.ftest('tanh(1)+tanh(-1)', math.tanh(1)+math.tanh(-1), 0)
Christian Heimes6f341092008-04-18 23:13:07 +0000632 self.ftest('tanh(inf)', math.tanh(INF), 1)
633 self.ftest('tanh(-inf)', math.tanh(NINF), -1)
634 self.assert_(math.isnan(math.tanh(NAN)))
Mark Dickinsond6d51482008-04-20 20:38:48 +0000635 # check that tanh(-0.) == -0. on IEEE 754 systems
636 if float.__getformat__("double").startswith("IEEE"):
637 self.assertEqual(math.tanh(-0.), -0.)
638 self.assertEqual(math.copysign(1., math.tanh(-0.)),
639 math.copysign(1., -0.))
Tim Peters1d120612000-10-12 06:10:25 +0000640
Jeffrey Yasskinca2b69f2008-02-01 06:22:46 +0000641 def test_trunc(self):
642 self.assertEqual(math.trunc(1), 1)
643 self.assertEqual(math.trunc(-1), -1)
644 self.assertEqual(type(math.trunc(1)), int)
645 self.assertEqual(type(math.trunc(1.5)), int)
646 self.assertEqual(math.trunc(1.5), 1)
647 self.assertEqual(math.trunc(-1.5), -1)
648 self.assertEqual(math.trunc(1.999999), 1)
649 self.assertEqual(math.trunc(-1.999999), -1)
650 self.assertEqual(math.trunc(-0.999999), -0)
651 self.assertEqual(math.trunc(-100.999), -100)
652
653 class TestTrunc(object):
654 def __trunc__(self):
655 return 23
656
657 class TestNoTrunc(object):
658 pass
659
660 self.assertEqual(math.trunc(TestTrunc()), 23)
661
662 self.assertRaises(TypeError, math.trunc)
663 self.assertRaises(TypeError, math.trunc, 1, 2)
664 # XXX: This is not ideal, but see the comment in math_trunc().
665 self.assertRaises(AttributeError, math.trunc, TestNoTrunc())
666
667 t = TestNoTrunc()
668 t.__trunc__ = lambda *args: args
669 self.assertEquals((), math.trunc(t))
670 self.assertRaises(TypeError, math.trunc, t, 0)
671
Christian Heimeseebb79c2008-01-03 22:32:26 +0000672 def testCopysign(self):
673 self.assertEqual(math.copysign(1, 42), 1.0)
674 self.assertEqual(math.copysign(0., 42), 0.0)
675 self.assertEqual(math.copysign(1., -42), -1.0)
676 self.assertEqual(math.copysign(3, 0.), 3.0)
677 self.assertEqual(math.copysign(4., -0.), -4.0)
678
Christian Heimese2ca4242008-01-03 20:23:15 +0000679 def testIsnan(self):
680 self.assert_(math.isnan(float("nan")))
681 self.assert_(math.isnan(float("inf")* 0.))
682 self.failIf(math.isnan(float("inf")))
683 self.failIf(math.isnan(0.))
684 self.failIf(math.isnan(1.))
685
686 def testIsinf(self):
687 self.assert_(math.isinf(float("inf")))
688 self.assert_(math.isinf(float("-inf")))
689 self.assert_(math.isinf(1E400))
690 self.assert_(math.isinf(-1E400))
691 self.failIf(math.isinf(float("nan")))
692 self.failIf(math.isinf(0.))
693 self.failIf(math.isinf(1.))
694
Georg Brandl2f037602006-10-28 13:51:49 +0000695 # RED_FLAG 16-Oct-2000 Tim
696 # While 2.0 is more consistent about exceptions than previous releases, it
697 # still fails this part of the test on some platforms. For now, we only
698 # *run* test_exceptions() in verbose mode, so that this isn't normally
699 # tested.
Tim Peters1d120612000-10-12 06:10:25 +0000700
Georg Brandl2f037602006-10-28 13:51:49 +0000701 if verbose:
702 def test_exceptions(self):
703 try:
704 x = math.exp(-1000000000)
705 except:
706 # mathmodule.c is failing to weed out underflows from libm, or
707 # we've got an fp format with huge dynamic range
708 self.fail("underflowing exp() should not have raised "
709 "an exception")
710 if x != 0:
711 self.fail("underflowing exp() should have returned 0")
Tim Peters1d120612000-10-12 06:10:25 +0000712
Georg Brandl2f037602006-10-28 13:51:49 +0000713 # If this fails, probably using a strict IEEE-754 conforming libm, and x
714 # is +Inf afterwards. But Python wants overflows detected by default.
715 try:
716 x = math.exp(1000000000)
717 except OverflowError:
718 pass
719 else:
720 self.fail("overflowing exp() didn't trigger OverflowError")
Tim Peters1d120612000-10-12 06:10:25 +0000721
Georg Brandl2f037602006-10-28 13:51:49 +0000722 # If this fails, it could be a puzzle. One odd possibility is that
723 # mathmodule.c's macros are getting confused while comparing
724 # Inf (HUGE_VAL) to a NaN, and artificially setting errno to ERANGE
725 # as a result (and so raising OverflowError instead).
726 try:
727 x = math.sqrt(-1.0)
728 except ValueError:
729 pass
730 else:
731 self.fail("sqrt(-1) didn't raise ValueError")
Tim Peters98c81842000-10-16 17:35:13 +0000732
Christian Heimes6f341092008-04-18 23:13:07 +0000733 def test_testfile(self):
734 if not float.__getformat__("double").startswith("IEEE"):
735 return
736 for id, fn, ar, ai, er, ei, flags in parse_testfile(test_file):
737 # Skip if either the input or result is complex, or if
738 # flags is nonempty
739 if ai != 0. or ei != 0. or flags:
740 continue
741 if fn in ['rect', 'polar']:
742 # no real versions of rect, polar
743 continue
744 func = getattr(math, fn)
Mark Dickinson9f99d702008-04-20 01:22:30 +0000745 try:
746 result = func(ar)
747 except ValueError:
748 message = ("Unexpected ValueError in " +
749 "test %s:%s(%r)\n" % (id, fn, ar))
750 self.fail(message)
Christian Heimes6f341092008-04-18 23:13:07 +0000751 self.ftest("%s:%s(%r)" % (id, fn, ar), result, er)
Georg Brandl2f037602006-10-28 13:51:49 +0000752
753def test_main():
Christian Heimes6f341092008-04-18 23:13:07 +0000754 from doctest import DocFileSuite
755 suite = unittest.TestSuite()
756 suite.addTest(unittest.makeSuite(MathTests))
757 suite.addTest(DocFileSuite("ieee754.txt"))
758 run_unittest(suite)
Georg Brandl2f037602006-10-28 13:51:49 +0000759
760if __name__ == '__main__':
761 test_main()