1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
|
# Python test set -- math module
# XXXX Should not do tests around zero only
from test.test_support import TestFailed, verbose
seps='1e-05'
eps = eval(seps)
print 'math module, testing with eps', seps
import math
def testit(name, value, expected):
if abs(value-expected) > eps:
raise TestFailed, '%s returned %f, expected %f'%\
(name, value, expected)
print 'constants'
testit('pi', math.pi, 3.1415926)
testit('e', math.e, 2.7182818)
print 'acos'
testit('acos(-1)', math.acos(-1), math.pi)
testit('acos(0)', math.acos(0), math.pi/2)
testit('acos(1)', math.acos(1), 0)
print 'asin'
testit('asin(-1)', math.asin(-1), -math.pi/2)
testit('asin(0)', math.asin(0), 0)
testit('asin(1)', math.asin(1), math.pi/2)
print 'atan'
testit('atan(-1)', math.atan(-1), -math.pi/4)
testit('atan(0)', math.atan(0), 0)
testit('atan(1)', math.atan(1), math.pi/4)
print 'atan2'
testit('atan2(-1, 0)', math.atan2(-1, 0), -math.pi/2)
testit('atan2(-1, 1)', math.atan2(-1, 1), -math.pi/4)
testit('atan2(0, 1)', math.atan2(0, 1), 0)
testit('atan2(1, 1)', math.atan2(1, 1), math.pi/4)
testit('atan2(1, 0)', math.atan2(1, 0), math.pi/2)
print 'ceil'
testit('ceil(0.5)', math.ceil(0.5), 1)
testit('ceil(1.0)', math.ceil(1.0), 1)
testit('ceil(1.5)', math.ceil(1.5), 2)
testit('ceil(-0.5)', math.ceil(-0.5), 0)
testit('ceil(-1.0)', math.ceil(-1.0), -1)
testit('ceil(-1.5)', math.ceil(-1.5), -1)
print 'cos'
testit('cos(-pi/2)', math.cos(-math.pi/2), 0)
testit('cos(0)', math.cos(0), 1)
testit('cos(pi/2)', math.cos(math.pi/2), 0)
testit('cos(pi)', math.cos(math.pi), -1)
print 'cosh'
testit('cosh(0)', math.cosh(0), 1)
testit('cosh(2)-2*cosh(1)**2', math.cosh(2)-2*math.cosh(1)**2, -1) # Thanks to Lambert
print 'degrees'
testit('degrees(pi)', math.degrees(math.pi), 180.0)
testit('degrees(pi/2)', math.degrees(math.pi/2), 90.0)
testit('degrees(-pi/4)', math.degrees(-math.pi/4), -45.0)
print 'exp'
testit('exp(-1)', math.exp(-1), 1/math.e)
testit('exp(0)', math.exp(0), 1)
testit('exp(1)', math.exp(1), math.e)
print 'fabs'
testit('fabs(-1)', math.fabs(-1), 1)
testit('fabs(0)', math.fabs(0), 0)
testit('fabs(1)', math.fabs(1), 1)
print 'floor'
testit('floor(0.5)', math.floor(0.5), 0)
testit('floor(1.0)', math.floor(1.0), 1)
testit('floor(1.5)', math.floor(1.5), 1)
testit('floor(-0.5)', math.floor(-0.5), -1)
testit('floor(-1.0)', math.floor(-1.0), -1)
testit('floor(-1.5)', math.floor(-1.5), -2)
print 'fmod'
testit('fmod(10,1)', math.fmod(10,1), 0)
testit('fmod(10,0.5)', math.fmod(10,0.5), 0)
testit('fmod(10,1.5)', math.fmod(10,1.5), 1)
testit('fmod(-10,1)', math.fmod(-10,1), 0)
testit('fmod(-10,0.5)', math.fmod(-10,0.5), 0)
testit('fmod(-10,1.5)', math.fmod(-10,1.5), -1)
print 'frexp'
def testfrexp(name, (mant, exp), (emant, eexp)):
if abs(mant-emant) > eps or exp != eexp:
raise TestFailed, '%s returned %r, expected %r'%\
(name, (mant, exp), (emant,eexp))
testfrexp('frexp(-1)', math.frexp(-1), (-0.5, 1))
testfrexp('frexp(0)', math.frexp(0), (0, 0))
testfrexp('frexp(1)', math.frexp(1), (0.5, 1))
testfrexp('frexp(2)', math.frexp(2), (0.5, 2))
print 'hypot'
testit('hypot(0,0)', math.hypot(0,0), 0)
testit('hypot(3,4)', math.hypot(3,4), 5)
print 'ldexp'
testit('ldexp(0,1)', math.ldexp(0,1), 0)
testit('ldexp(1,1)', math.ldexp(1,1), 2)
testit('ldexp(1,-1)', math.ldexp(1,-1), 0.5)
testit('ldexp(-1,1)', math.ldexp(-1,1), -2)
print 'log'
testit('log(1/e)', math.log(1/math.e), -1)
testit('log(1)', math.log(1), 0)
testit('log(e)', math.log(math.e), 1)
testit('log(32,2)', math.log(32,2), 5)
testit('log(10**40, 10)', math.log(10**40, 10), 40)
testit('log(10**40, 10**20)', math.log(10**40, 10**20), 2)
print 'log10'
testit('log10(0.1)', math.log10(0.1), -1)
testit('log10(1)', math.log10(1), 0)
testit('log10(10)', math.log10(10), 1)
print 'modf'
def testmodf(name, (v1, v2), (e1, e2)):
if abs(v1-e1) > eps or abs(v2-e2):
raise TestFailed, '%s returned %r, expected %r'%\
(name, (v1,v2), (e1,e2))
testmodf('modf(1.5)', math.modf(1.5), (0.5, 1.0))
testmodf('modf(-1.5)', math.modf(-1.5), (-0.5, -1.0))
print 'pow'
testit('pow(0,1)', math.pow(0,1), 0)
testit('pow(1,0)', math.pow(1,0), 1)
testit('pow(2,1)', math.pow(2,1), 2)
testit('pow(2,-1)', math.pow(2,-1), 0.5)
print 'radians'
testit('radians(180)', math.radians(180), math.pi)
testit('radians(90)', math.radians(90), math.pi/2)
testit('radians(-45)', math.radians(-45), -math.pi/4)
print 'sin'
testit('sin(0)', math.sin(0), 0)
testit('sin(pi/2)', math.sin(math.pi/2), 1)
testit('sin(-pi/2)', math.sin(-math.pi/2), -1)
print 'sinh'
testit('sinh(0)', math.sinh(0), 0)
testit('sinh(1)**2-cosh(1)**2', math.sinh(1)**2-math.cosh(1)**2, -1)
testit('sinh(1)+sinh(-1)', math.sinh(1)+math.sinh(-1), 0)
print 'sqrt'
testit('sqrt(0)', math.sqrt(0), 0)
testit('sqrt(1)', math.sqrt(1), 1)
testit('sqrt(4)', math.sqrt(4), 2)
print 'tan'
testit('tan(0)', math.tan(0), 0)
testit('tan(pi/4)', math.tan(math.pi/4), 1)
testit('tan(-pi/4)', math.tan(-math.pi/4), -1)
print 'tanh'
testit('tanh(0)', math.tanh(0), 0)
testit('tanh(1)+tanh(-1)', math.tanh(1)+math.tanh(-1), 0)
# RED_FLAG 16-Oct-2000 Tim
# While 2.0 is more consistent about exceptions than previous releases, it
# still fails this part of the test on some platforms. For now, we only
# *run* test_exceptions() in verbose mode, so that this isn't normally
# tested.
def test_exceptions():
print 'exceptions'
try:
x = math.exp(-1000000000)
except:
# mathmodule.c is failing to weed out underflows from libm, or
# we've got an fp format with huge dynamic range
raise TestFailed("underflowing exp() should not have raised "
"an exception")
if x != 0:
raise TestFailed("underflowing exp() should have returned 0")
# If this fails, probably using a strict IEEE-754 conforming libm, and x
# is +Inf afterwards. But Python wants overflows detected by default.
try:
x = math.exp(1000000000)
except OverflowError:
pass
else:
raise TestFailed("overflowing exp() didn't trigger OverflowError")
# If this fails, it could be a puzzle. One odd possibility is that
# mathmodule.c's macros are getting confused while comparing
# Inf (HUGE_VAL) to a NaN, and artificially setting errno to ERANGE
# as a result (and so raising OverflowError instead).
try:
x = math.sqrt(-1.0)
except ValueError:
pass
else:
raise TestFailed("sqrt(-1) didn't raise ValueError")
if verbose:
test_exceptions()
|
