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
|
import test.test_support, unittest
class PowTest(unittest.TestCase):
def powtest(self, type):
if type != float:
for i in range(-1000, 1000):
self.assertEquals(pow(type(i), 0), 1)
self.assertEquals(pow(type(i), 1), type(i))
self.assertEquals(pow(type(0), 1), type(0))
self.assertEquals(pow(type(1), 1), type(1))
for i in range(-100, 100):
self.assertEquals(pow(type(i), 3), i*i*i)
pow2 = 1
for i in range(0,31):
self.assertEquals(pow(2, i), pow2)
if i != 30 : pow2 = pow2*2
for othertype in int, long:
for i in range(-10, 0) + range(1, 10):
ii = type(i)
for j in range(1, 11):
jj = -othertype(j)
pow(ii, jj)
for othertype in int, long, float:
for i in range(1, 100):
zero = type(0)
exp = -othertype(i/10.0)
if exp == 0:
continue
self.assertRaises(ZeroDivisionError, pow, zero, exp)
il, ih = -20, 20
jl, jh = -5, 5
kl, kh = -10, 10
asseq = self.assertEqual
if type == float:
il = 1
asseq = self.assertAlmostEqual
elif type == int:
jl = 0
elif type == long:
jl, jh = 0, 15
for i in range(il, ih+1):
for j in range(jl, jh+1):
for k in range(kl, kh+1):
if k != 0:
if type == float or j < 0:
self.assertRaises(TypeError, pow, type(i), j, k)
continue
asseq(
pow(type(i),j,k),
pow(type(i),j)% type(k)
)
def test_powint(self):
self.powtest(int)
def test_powlong(self):
self.powtest(long)
def test_powfloat(self):
self.powtest(float)
def test_other(self):
# Other tests-- not very systematic
self.assertEquals(pow(3,3) % 8, pow(3,3,8))
self.assertEquals(pow(3,3) % -8, pow(3,3,-8))
self.assertEquals(pow(3,2) % -2, pow(3,2,-2))
self.assertEquals(pow(-3,3) % 8, pow(-3,3,8))
self.assertEquals(pow(-3,3) % -8, pow(-3,3,-8))
self.assertEquals(pow(5,2) % -8, pow(5,2,-8))
self.assertEquals(pow(3L,3L) % 8, pow(3L,3L,8))
self.assertEquals(pow(3L,3L) % -8, pow(3L,3L,-8))
self.assertEquals(pow(3L,2) % -2, pow(3L,2,-2))
self.assertEquals(pow(-3L,3L) % 8, pow(-3L,3L,8))
self.assertEquals(pow(-3L,3L) % -8, pow(-3L,3L,-8))
self.assertEquals(pow(5L,2) % -8, pow(5L,2,-8))
for i in range(-10, 11):
for j in range(0, 6):
for k in range(-7, 11):
if j >= 0 and k != 0:
self.assertEquals(
pow(i,j) % k,
pow(i,j,k)
)
if j >= 0 and k != 0:
self.assertEquals(
pow(long(i),j) % k,
pow(long(i),j,k)
)
def test_bug643260(self):
class TestRpow:
def __rpow__(self, other):
return None
None ** TestRpow() # Won't fail when __rpow__ invoked. SF bug #643260.
def test_bug705231(self):
# -1.0 raised to an integer should never blow up. It did if the
# platform pow() was buggy, and Python didn't worm around it.
eq = self.assertEquals
a = -1.0
# XXX Temporary diagnostic for failure on alpha Debian buildbot
from sys import __stdout__
from math import floor
print >> __stdout__, "*** Number: %r" % 1.23e167
print >> __stdout__, "*** Floor: %r" % floor(1.23e167)
# XXX End diagnostic message
eq(pow(a, 1.23e167), 1.0)
eq(pow(a, -1.23e167), 1.0)
for b in range(-10, 11):
eq(pow(a, float(b)), b & 1 and -1.0 or 1.0)
for n in range(0, 100):
fiveto = float(5 ** n)
# For small n, fiveto will be odd. Eventually we run out of
# mantissa bits, though, and thereafer fiveto will be even.
expected = fiveto % 2.0 and -1.0 or 1.0
eq(pow(a, fiveto), expected)
eq(pow(a, -fiveto), expected)
eq(expected, 1.0) # else we didn't push fiveto to evenness
def test_main():
test.test_support.run_unittest(PowTest)
if __name__ == "__main__":
test_main()
|