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| import test.test_support, unittest
|
| class PowTest(unittest.TestCase):
|
| def powtest(self, type):
| if type != float:
| for i in range(-1000, 1000):
| self.assertEqual(pow(type(i), 0), 1)
| self.assertEqual(pow(type(i), 1), type(i))
| self.assertEqual(pow(type(0), 1), type(0))
| self.assertEqual(pow(type(1), 1), type(1))
|
| for i in range(-100, 100):
| self.assertEqual(pow(type(i), 3), i*i*i)
|
| pow2 = 1
| for i in range(0,31):
| self.assertEqual(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.assertEqual(pow(3,3) % 8, pow(3,3,8))
| self.assertEqual(pow(3,3) % -8, pow(3,3,-8))
| self.assertEqual(pow(3,2) % -2, pow(3,2,-2))
| self.assertEqual(pow(-3,3) % 8, pow(-3,3,8))
| self.assertEqual(pow(-3,3) % -8, pow(-3,3,-8))
| self.assertEqual(pow(5,2) % -8, pow(5,2,-8))
|
| self.assertEqual(pow(3L,3L) % 8, pow(3L,3L,8))
| self.assertEqual(pow(3L,3L) % -8, pow(3L,3L,-8))
| self.assertEqual(pow(3L,2) % -2, pow(3L,2,-2))
| self.assertEqual(pow(-3L,3L) % 8, pow(-3L,3L,8))
| self.assertEqual(pow(-3L,3L) % -8, pow(-3L,3L,-8))
| self.assertEqual(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.assertEqual(
| pow(i,j) % k,
| pow(i,j,k)
| )
| if j >= 0 and k != 0:
| self.assertEqual(
| 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.assertEqual
| a = -1.0
| # The next two tests can still fail if the platform floor()
| # function doesn't treat all large inputs as integers
| # test_math should also fail if that is happening
| 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()
|
|