335 lines
13 KiB
Python
335 lines
13 KiB
Python
# Python test set -- math module
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# XXXX Should not do tests around zero only
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from test.test_support import run_unittest, verbose
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import unittest
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import math
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seps='1e-05'
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eps = eval(seps)
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class MathTests(unittest.TestCase):
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def ftest(self, name, value, expected):
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if abs(value-expected) > eps:
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# Use %r instead of %f so the error message
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# displays full precision. Otherwise discrepancies
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# in the last few bits will lead to very confusing
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# error messages
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self.fail('%s returned %r, expected %r' %
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(name, value, expected))
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def testConstants(self):
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self.ftest('pi', math.pi, 3.1415926)
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self.ftest('e', math.e, 2.7182818)
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def testAcos(self):
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self.assertRaises(TypeError, math.acos)
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self.ftest('acos(-1)', math.acos(-1), math.pi)
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self.ftest('acos(0)', math.acos(0), math.pi/2)
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self.ftest('acos(1)', math.acos(1), 0)
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def testAsin(self):
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self.assertRaises(TypeError, math.asin)
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self.ftest('asin(-1)', math.asin(-1), -math.pi/2)
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self.ftest('asin(0)', math.asin(0), 0)
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self.ftest('asin(1)', math.asin(1), math.pi/2)
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def testAtan(self):
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self.assertRaises(TypeError, math.atan)
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self.ftest('atan(-1)', math.atan(-1), -math.pi/4)
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self.ftest('atan(0)', math.atan(0), 0)
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self.ftest('atan(1)', math.atan(1), math.pi/4)
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def testAtan2(self):
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self.assertRaises(TypeError, math.atan2)
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self.ftest('atan2(-1, 0)', math.atan2(-1, 0), -math.pi/2)
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self.ftest('atan2(-1, 1)', math.atan2(-1, 1), -math.pi/4)
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self.ftest('atan2(0, 1)', math.atan2(0, 1), 0)
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self.ftest('atan2(1, 1)', math.atan2(1, 1), math.pi/4)
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self.ftest('atan2(1, 0)', math.atan2(1, 0), math.pi/2)
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def testCeil(self):
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self.assertRaises(TypeError, math.ceil)
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self.assertEquals(int, type(math.ceil(0.5)))
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self.ftest('ceil(0.5)', math.ceil(0.5), 1)
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self.ftest('ceil(1.0)', math.ceil(1.0), 1)
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self.ftest('ceil(1.5)', math.ceil(1.5), 2)
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self.ftest('ceil(-0.5)', math.ceil(-0.5), 0)
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self.ftest('ceil(-1.0)', math.ceil(-1.0), -1)
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self.ftest('ceil(-1.5)', math.ceil(-1.5), -1)
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class TestCeil:
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def __ceil__(self):
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return 42
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class TestNoCeil:
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pass
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self.ftest('ceil(TestCeil())', math.ceil(TestCeil()), 42)
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self.assertRaises(TypeError, math.ceil, TestNoCeil())
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t = TestNoCeil()
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t.__ceil__ = lambda *args: args
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self.assertRaises(TypeError, math.ceil, t)
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self.assertRaises(TypeError, math.ceil, t, 0)
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def testCos(self):
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self.assertRaises(TypeError, math.cos)
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self.ftest('cos(-pi/2)', math.cos(-math.pi/2), 0)
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self.ftest('cos(0)', math.cos(0), 1)
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self.ftest('cos(pi/2)', math.cos(math.pi/2), 0)
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self.ftest('cos(pi)', math.cos(math.pi), -1)
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def testCosh(self):
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self.assertRaises(TypeError, math.cosh)
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self.ftest('cosh(0)', math.cosh(0), 1)
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self.ftest('cosh(2)-2*cosh(1)**2', math.cosh(2)-2*math.cosh(1)**2, -1) # Thanks to Lambert
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def testDegrees(self):
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self.assertRaises(TypeError, math.degrees)
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self.ftest('degrees(pi)', math.degrees(math.pi), 180.0)
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self.ftest('degrees(pi/2)', math.degrees(math.pi/2), 90.0)
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self.ftest('degrees(-pi/4)', math.degrees(-math.pi/4), -45.0)
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def testExp(self):
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self.assertRaises(TypeError, math.exp)
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self.ftest('exp(-1)', math.exp(-1), 1/math.e)
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self.ftest('exp(0)', math.exp(0), 1)
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self.ftest('exp(1)', math.exp(1), math.e)
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def testFabs(self):
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self.assertRaises(TypeError, math.fabs)
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self.ftest('fabs(-1)', math.fabs(-1), 1)
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self.ftest('fabs(0)', math.fabs(0), 0)
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self.ftest('fabs(1)', math.fabs(1), 1)
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def testFloor(self):
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self.assertRaises(TypeError, math.floor)
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self.assertEquals(int, type(math.floor(0.5)))
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self.ftest('floor(0.5)', math.floor(0.5), 0)
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self.ftest('floor(1.0)', math.floor(1.0), 1)
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self.ftest('floor(1.5)', math.floor(1.5), 1)
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self.ftest('floor(-0.5)', math.floor(-0.5), -1)
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self.ftest('floor(-1.0)', math.floor(-1.0), -1)
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self.ftest('floor(-1.5)', math.floor(-1.5), -2)
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# pow() relies on floor() to check for integers
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# This fails on some platforms - so check it here
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self.ftest('floor(1.23e167)', math.floor(1.23e167), 1.23e167)
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self.ftest('floor(-1.23e167)', math.floor(-1.23e167), -1.23e167)
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class TestFloor:
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def __floor__(self):
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return 42
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class TestNoFloor:
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pass
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self.ftest('floor(TestFloor())', math.floor(TestFloor()), 42)
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self.assertRaises(TypeError, math.floor, TestNoFloor())
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t = TestNoFloor()
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t.__floor__ = lambda *args: args
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self.assertRaises(TypeError, math.floor, t)
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self.assertRaises(TypeError, math.floor, t, 0)
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def testFmod(self):
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self.assertRaises(TypeError, math.fmod)
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self.ftest('fmod(10,1)', math.fmod(10,1), 0)
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self.ftest('fmod(10,0.5)', math.fmod(10,0.5), 0)
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self.ftest('fmod(10,1.5)', math.fmod(10,1.5), 1)
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self.ftest('fmod(-10,1)', math.fmod(-10,1), 0)
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self.ftest('fmod(-10,0.5)', math.fmod(-10,0.5), 0)
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self.ftest('fmod(-10,1.5)', math.fmod(-10,1.5), -1)
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def testFrexp(self):
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self.assertRaises(TypeError, math.frexp)
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def testfrexp(name, result, expected):
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(mant, exp), (emant, eexp) = result, expected
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if abs(mant-emant) > eps or exp != eexp:
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self.fail('%s returned %r, expected %r'%\
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(name, result, expected))
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testfrexp('frexp(-1)', math.frexp(-1), (-0.5, 1))
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testfrexp('frexp(0)', math.frexp(0), (0, 0))
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testfrexp('frexp(1)', math.frexp(1), (0.5, 1))
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testfrexp('frexp(2)', math.frexp(2), (0.5, 2))
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def testHypot(self):
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self.assertRaises(TypeError, math.hypot)
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self.ftest('hypot(0,0)', math.hypot(0,0), 0)
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self.ftest('hypot(3,4)', math.hypot(3,4), 5)
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def testLdexp(self):
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self.assertRaises(TypeError, math.ldexp)
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self.ftest('ldexp(0,1)', math.ldexp(0,1), 0)
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self.ftest('ldexp(1,1)', math.ldexp(1,1), 2)
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self.ftest('ldexp(1,-1)', math.ldexp(1,-1), 0.5)
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self.ftest('ldexp(-1,1)', math.ldexp(-1,1), -2)
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def testLog(self):
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self.assertRaises(TypeError, math.log)
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self.ftest('log(1/e)', math.log(1/math.e), -1)
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self.ftest('log(1)', math.log(1), 0)
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self.ftest('log(e)', math.log(math.e), 1)
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self.ftest('log(32,2)', math.log(32,2), 5)
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self.ftest('log(10**40, 10)', math.log(10**40, 10), 40)
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self.ftest('log(10**40, 10**20)', math.log(10**40, 10**20), 2)
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def testLog10(self):
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self.assertRaises(TypeError, math.log10)
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self.ftest('log10(0.1)', math.log10(0.1), -1)
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self.ftest('log10(1)', math.log10(1), 0)
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self.ftest('log10(10)', math.log10(10), 1)
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def testModf(self):
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self.assertRaises(TypeError, math.modf)
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def testmodf(name, result, expected):
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(v1, v2), (e1, e2) = result, expected
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if abs(v1-e1) > eps or abs(v2-e2):
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self.fail('%s returned %r, expected %r'%\
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(name, result, expected))
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testmodf('modf(1.5)', math.modf(1.5), (0.5, 1.0))
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testmodf('modf(-1.5)', math.modf(-1.5), (-0.5, -1.0))
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def testPow(self):
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self.assertRaises(TypeError, math.pow)
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self.ftest('pow(0,1)', math.pow(0,1), 0)
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self.ftest('pow(1,0)', math.pow(1,0), 1)
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self.ftest('pow(2,1)', math.pow(2,1), 2)
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self.ftest('pow(2,-1)', math.pow(2,-1), 0.5)
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def testRadians(self):
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self.assertRaises(TypeError, math.radians)
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self.ftest('radians(180)', math.radians(180), math.pi)
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self.ftest('radians(90)', math.radians(90), math.pi/2)
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self.ftest('radians(-45)', math.radians(-45), -math.pi/4)
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def testSin(self):
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self.assertRaises(TypeError, math.sin)
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self.ftest('sin(0)', math.sin(0), 0)
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self.ftest('sin(pi/2)', math.sin(math.pi/2), 1)
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self.ftest('sin(-pi/2)', math.sin(-math.pi/2), -1)
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def testSinh(self):
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self.assertRaises(TypeError, math.sinh)
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self.ftest('sinh(0)', math.sinh(0), 0)
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self.ftest('sinh(1)**2-cosh(1)**2', math.sinh(1)**2-math.cosh(1)**2, -1)
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self.ftest('sinh(1)+sinh(-1)', math.sinh(1)+math.sinh(-1), 0)
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def testSqrt(self):
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self.assertRaises(TypeError, math.sqrt)
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self.ftest('sqrt(0)', math.sqrt(0), 0)
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self.ftest('sqrt(1)', math.sqrt(1), 1)
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self.ftest('sqrt(4)', math.sqrt(4), 2)
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def testTan(self):
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self.assertRaises(TypeError, math.tan)
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self.ftest('tan(0)', math.tan(0), 0)
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self.ftest('tan(pi/4)', math.tan(math.pi/4), 1)
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self.ftest('tan(-pi/4)', math.tan(-math.pi/4), -1)
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def testTanh(self):
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self.assertRaises(TypeError, math.tanh)
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self.ftest('tanh(0)', math.tanh(0), 0)
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self.ftest('tanh(1)+tanh(-1)', math.tanh(1)+math.tanh(-1), 0)
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def test_trunc(self):
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self.assertEqual(math.trunc(1), 1)
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self.assertEqual(math.trunc(-1), -1)
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self.assertEqual(type(math.trunc(1)), int)
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self.assertEqual(type(math.trunc(1.5)), int)
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self.assertEqual(math.trunc(1.5), 1)
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self.assertEqual(math.trunc(-1.5), -1)
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self.assertEqual(math.trunc(1.999999), 1)
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self.assertEqual(math.trunc(-1.999999), -1)
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self.assertEqual(math.trunc(-0.999999), -0)
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self.assertEqual(math.trunc(-100.999), -100)
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class TestTrunc(object):
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def __trunc__(self):
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return 23
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class TestNoTrunc(object):
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pass
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self.assertEqual(math.trunc(TestTrunc()), 23)
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self.assertRaises(TypeError, math.trunc)
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self.assertRaises(TypeError, math.trunc, 1, 2)
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self.assertRaises(TypeError, math.trunc, TestNoTrunc())
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# XXX Doesn't work because the method is looked up on
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# the type only.
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#t = TestNoTrunc()
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#t.__trunc__ = lambda *args: args
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#self.assertEquals((), math.trunc(t))
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#self.assertRaises(TypeError, math.trunc, t, 0)
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def testCopysign(self):
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self.assertEqual(math.copysign(1, 42), 1.0)
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self.assertEqual(math.copysign(0., 42), 0.0)
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self.assertEqual(math.copysign(1., -42), -1.0)
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self.assertEqual(math.copysign(3, 0.), 3.0)
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self.assertEqual(math.copysign(4., -0.), -4.0)
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def testIsnan(self):
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self.assert_(math.isnan(float("nan")))
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self.assert_(math.isnan(float("inf")* 0.))
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self.failIf(math.isnan(float("inf")))
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self.failIf(math.isnan(0.))
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self.failIf(math.isnan(1.))
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def testIsinf(self):
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self.assert_(math.isinf(float("inf")))
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self.assert_(math.isinf(float("-inf")))
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self.assert_(math.isinf(1E400))
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self.assert_(math.isinf(-1E400))
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self.failIf(math.isinf(float("nan")))
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self.failIf(math.isinf(0.))
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self.failIf(math.isinf(1.))
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# RED_FLAG 16-Oct-2000 Tim
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# While 2.0 is more consistent about exceptions than previous releases, it
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# still fails this part of the test on some platforms. For now, we only
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# *run* test_exceptions() in verbose mode, so that this isn't normally
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# tested.
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if verbose:
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def test_exceptions(self):
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try:
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x = math.exp(-1000000000)
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except:
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# mathmodule.c is failing to weed out underflows from libm, or
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# we've got an fp format with huge dynamic range
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self.fail("underflowing exp() should not have raised "
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"an exception")
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if x != 0:
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self.fail("underflowing exp() should have returned 0")
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# If this fails, probably using a strict IEEE-754 conforming libm, and x
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# is +Inf afterwards. But Python wants overflows detected by default.
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try:
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x = math.exp(1000000000)
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except OverflowError:
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pass
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else:
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self.fail("overflowing exp() didn't trigger OverflowError")
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# If this fails, it could be a puzzle. One odd possibility is that
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# mathmodule.c's macros are getting confused while comparing
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# Inf (HUGE_VAL) to a NaN, and artificially setting errno to ERANGE
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# as a result (and so raising OverflowError instead).
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try:
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x = math.sqrt(-1.0)
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except ValueError:
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pass
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else:
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self.fail("sqrt(-1) didn't raise ValueError")
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def test_main():
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run_unittest(MathTests)
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if __name__ == '__main__':
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test_main()
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