diff options
Diffstat (limited to 'Lib/test/test_math.py')
| -rw-r--r-- | Lib/test/test_math.py | 241 |
1 files changed, 238 insertions, 3 deletions
diff --git a/Lib/test/test_math.py b/Lib/test/test_math.py index aa44253..b8c23db 100644 --- a/Lib/test/test_math.py +++ b/Lib/test/test_math.py @@ -4,9 +4,45 @@ from test.test_support import run_unittest, verbose import unittest import math +import os +import sys -seps='1e-05' -eps = eval(seps) +eps = 1E-05 +NAN = float('nan') +INF = float('inf') +NINF = float('-inf') + +# locate file with test values +if __name__ == '__main__': + file = sys.argv[0] +else: + file = __file__ +test_dir = os.path.dirname(file) or os.curdir +test_file = os.path.join(test_dir, 'cmath_testcases.txt') + +def parse_testfile(fname): + """Parse a file with test values + + Empty lines or lines starting with -- are ignored + yields id, fn, arg_real, arg_imag, exp_real, exp_imag + """ + with open(fname) as fp: + for line in fp: + # skip comment lines and blank lines + if line.startswith('--') or not line.strip(): + continue + + lhs, rhs = line.split('->') + id, fn, arg_real, arg_imag = lhs.split() + rhs_pieces = rhs.split() + exp_real, exp_imag = rhs_pieces[0], rhs_pieces[1] + flags = rhs_pieces[2:] + + yield (id, fn, + float(arg_real), float(arg_imag), + float(exp_real), float(exp_imag), + flags + ) class MathTests(unittest.TestCase): @@ -28,18 +64,57 @@ class MathTests(unittest.TestCase): self.ftest('acos(-1)', math.acos(-1), math.pi) self.ftest('acos(0)', math.acos(0), math.pi/2) self.ftest('acos(1)', math.acos(1), 0) + self.assertRaises(ValueError, math.acos, INF) + self.assertRaises(ValueError, math.acos, NINF) + self.assert_(math.isnan(math.acos(NAN))) + + def testAcosh(self): + self.assertRaises(TypeError, math.acosh) + self.ftest('acosh(1)', math.acosh(1), 0) + self.ftest('acosh(2)', math.acosh(2), 1.3169578969248168) + self.assertRaises(ValueError, math.acosh, 0) + self.assertRaises(ValueError, math.acosh, -1) + self.assertEquals(math.acosh(INF), INF) + self.assertRaises(ValueError, math.acosh, NINF) + self.assert_(math.isnan(math.acosh(NAN))) def testAsin(self): self.assertRaises(TypeError, math.asin) self.ftest('asin(-1)', math.asin(-1), -math.pi/2) self.ftest('asin(0)', math.asin(0), 0) self.ftest('asin(1)', math.asin(1), math.pi/2) + self.assertRaises(ValueError, math.asin, INF) + self.assertRaises(ValueError, math.asin, NINF) + self.assert_(math.isnan(math.asin(NAN))) + + def testAsinh(self): + self.assertRaises(TypeError, math.asinh) + self.ftest('asinh(0)', math.asinh(0), 0) + self.ftest('asinh(1)', math.asinh(1), 0.88137358701954305) + self.ftest('asinh(-1)', math.asinh(-1), -0.88137358701954305) + self.assertEquals(math.asinh(INF), INF) + self.assertEquals(math.asinh(NINF), NINF) + self.assert_(math.isnan(math.asinh(NAN))) def testAtan(self): self.assertRaises(TypeError, math.atan) self.ftest('atan(-1)', math.atan(-1), -math.pi/4) self.ftest('atan(0)', math.atan(0), 0) self.ftest('atan(1)', math.atan(1), math.pi/4) + self.ftest('atan(inf)', math.atan(INF), math.pi/2) + self.ftest('atan(-inf)', math.atan(-INF), -math.pi/2) + self.assert_(math.isnan(math.atan(NAN))) + + def testAtanh(self): + self.assertRaises(TypeError, math.atan) + self.ftest('atanh(0)', math.atanh(0), 0) + self.ftest('atanh(0.5)', math.atanh(0.5), 0.54930614433405489) + self.ftest('atanh(-0.5)', math.atanh(-0.5), -0.54930614433405489) + self.assertRaises(ValueError, math.atanh, 1) + self.assertRaises(ValueError, math.atanh, -1) + self.assertRaises(ValueError, math.atanh, INF) + self.assertRaises(ValueError, math.atanh, NINF) + self.assert_(math.isnan(math.atanh(NAN))) def testAtan2(self): self.assertRaises(TypeError, math.atan2) @@ -58,6 +133,9 @@ class MathTests(unittest.TestCase): self.ftest('ceil(-0.5)', math.ceil(-0.5), 0) self.ftest('ceil(-1.0)', math.ceil(-1.0), -1) self.ftest('ceil(-1.5)', math.ceil(-1.5), -1) + #self.assertEquals(math.ceil(INF), INF) + #self.assertEquals(math.ceil(NINF), NINF) + #self.assert_(math.isnan(math.ceil(NAN))) class TestCeil: def __ceil__(self): @@ -72,17 +150,55 @@ class MathTests(unittest.TestCase): self.assertRaises(TypeError, math.ceil, t) self.assertRaises(TypeError, math.ceil, t, 0) + if float.__getformat__("double").startswith("IEEE"): + def testCopysign(self): + self.assertRaises(TypeError, math.copysign) + # copysign should let us distinguish signs of zeros + self.assertEquals(copysign(1., 0.), 1.) + self.assertEquals(copysign(1., -0.), -1.) + self.assertEquals(copysign(INF, 0.), INF) + self.assertEquals(copysign(INF, -0.), NINF) + self.assertEquals(copysign(NINF, 0.), INF) + self.assertEquals(copysign(NINF, -0.), NINF) + # and of infinities + self.assertEquals(copysign(1., INF), 1.) + self.assertEquals(copysign(1., NINF), -1.) + self.assertEquals(copysign(INF, INF), INF) + self.assertEquals(copysign(INF, NINF), NINF) + self.assertEquals(copysign(NINF, INF), INF) + self.assertEquals(copysign(NINF, NINF), NINF) + self.assert_(math.isnan(copysign(NAN, 1.))) + self.assert_(math.isnan(copysign(NAN, INF))) + self.assert_(math.isnan(copysign(NAN, NINF))) + self.assert_(math.isnan(copysign(NAN, NAN))) + # copysign(INF, NAN) may be INF or it may be NINF, since + # we don't know whether the sign bit of NAN is set on any + # given platform. + self.assert_(math.isinf(copysign(INF, NAN))) + # similarly, copysign(2., NAN) could be 2. or -2. + self.assertEquals(abs(copysign(2., NAN)), 2.) + def testCos(self): self.assertRaises(TypeError, math.cos) self.ftest('cos(-pi/2)', math.cos(-math.pi/2), 0) self.ftest('cos(0)', math.cos(0), 1) self.ftest('cos(pi/2)', math.cos(math.pi/2), 0) self.ftest('cos(pi)', math.cos(math.pi), -1) + try: + self.assert_(math.isnan(math.cos(INF))) + self.assert_(math.isnan(math.cos(NINF))) + except ValueError: + self.assertRaises(ValueError, math.cos, INF) + self.assertRaises(ValueError, math.cos, NINF) + self.assert_(math.isnan(math.cos(NAN))) def testCosh(self): self.assertRaises(TypeError, math.cosh) self.ftest('cosh(0)', math.cosh(0), 1) self.ftest('cosh(2)-2*cosh(1)**2', math.cosh(2)-2*math.cosh(1)**2, -1) # Thanks to Lambert + self.assertEquals(math.cosh(INF), INF) + self.assertEquals(math.cosh(NINF), INF) + self.assert_(math.isnan(math.cosh(NAN))) def testDegrees(self): self.assertRaises(TypeError, math.degrees) @@ -95,6 +211,9 @@ class MathTests(unittest.TestCase): self.ftest('exp(-1)', math.exp(-1), 1/math.e) self.ftest('exp(0)', math.exp(0), 1) self.ftest('exp(1)', math.exp(1), math.e) + self.assertEquals(math.exp(INF), INF) + self.assertEquals(math.exp(NINF), 0.) + self.assert_(math.isnan(math.exp(NAN))) def testFabs(self): self.assertRaises(TypeError, math.fabs) @@ -115,6 +234,9 @@ class MathTests(unittest.TestCase): # This fails on some platforms - so check it here self.ftest('floor(1.23e167)', math.floor(1.23e167), 1.23e167) self.ftest('floor(-1.23e167)', math.floor(-1.23e167), -1.23e167) + #self.assertEquals(math.ceil(INF), INF) + #self.assertEquals(math.ceil(NINF), NINF) + #self.assert_(math.isnan(math.floor(NAN))) class TestFloor: def __floor__(self): @@ -137,6 +259,19 @@ class MathTests(unittest.TestCase): self.ftest('fmod(-10,1)', math.fmod(-10,1), 0) self.ftest('fmod(-10,0.5)', math.fmod(-10,0.5), 0) self.ftest('fmod(-10,1.5)', math.fmod(-10,1.5), -1) + self.assert_(math.isnan(math.fmod(NAN, 1.))) + self.assert_(math.isnan(math.fmod(1., NAN))) + self.assert_(math.isnan(math.fmod(NAN, NAN))) + self.assertRaises(ValueError, math.fmod, 1., 0.) + self.assertRaises(ValueError, math.fmod, INF, 1.) + self.assertRaises(ValueError, math.fmod, NINF, 1.) + self.assertRaises(ValueError, math.fmod, INF, 0.) + self.assertEquals(math.fmod(3.0, INF), 3.0) + self.assertEquals(math.fmod(-3.0, INF), -3.0) + self.assertEquals(math.fmod(3.0, NINF), 3.0) + self.assertEquals(math.fmod(-3.0, NINF), -3.0) + self.assertEquals(math.fmod(0.0, 3.0), 0.0) + self.assertEquals(math.fmod(0.0, NINF), 0.0) def testFrexp(self): self.assertRaises(TypeError, math.frexp) @@ -152,10 +287,20 @@ class MathTests(unittest.TestCase): testfrexp('frexp(1)', math.frexp(1), (0.5, 1)) testfrexp('frexp(2)', math.frexp(2), (0.5, 2)) + self.assertEquals(math.frexp(INF)[0], INF) + self.assertEquals(math.frexp(NINF)[0], NINF) + self.assert_(math.isnan(math.frexp(NAN)[0])) + def testHypot(self): self.assertRaises(TypeError, math.hypot) self.ftest('hypot(0,0)', math.hypot(0,0), 0) self.ftest('hypot(3,4)', math.hypot(3,4), 5) + self.assertEqual(math.hypot(NAN, INF), INF) + self.assertEqual(math.hypot(INF, NAN), INF) + self.assertEqual(math.hypot(NAN, NINF), INF) + self.assertEqual(math.hypot(NINF, NAN), INF) + self.assert_(math.isnan(math.hypot(1.0, NAN))) + self.assert_(math.isnan(math.hypot(NAN, -2.0))) def testLdexp(self): self.assertRaises(TypeError, math.ldexp) @@ -163,6 +308,13 @@ class MathTests(unittest.TestCase): self.ftest('ldexp(1,1)', math.ldexp(1,1), 2) self.ftest('ldexp(1,-1)', math.ldexp(1,-1), 0.5) self.ftest('ldexp(-1,1)', math.ldexp(-1,1), -2) + self.assertRaises(OverflowError, math.ldexp, 1., 1000000) + self.assertRaises(OverflowError, math.ldexp, -1., 1000000) + self.assertEquals(math.ldexp(1., -1000000), 0.) + self.assertEquals(math.ldexp(-1., -1000000), -0.) + self.assertEquals(math.ldexp(INF, 30), INF) + self.assertEquals(math.ldexp(NINF, -213), NINF) + self.assert_(math.isnan(math.ldexp(NAN, 0))) def testLog(self): self.assertRaises(TypeError, math.log) @@ -172,12 +324,31 @@ class MathTests(unittest.TestCase): self.ftest('log(32,2)', math.log(32,2), 5) self.ftest('log(10**40, 10)', math.log(10**40, 10), 40) self.ftest('log(10**40, 10**20)', math.log(10**40, 10**20), 2) + self.assertEquals(math.log(INF), INF) + self.assertRaises(ValueError, math.log, NINF) + self.assert_(math.isnan(math.log(NAN))) + + def testLog1p(self): + self.assertRaises(TypeError, math.log1p) + self.ftest('log1p(1/e -1)', math.log1p(1/math.e-1), -1) + self.ftest('log1p(0)', math.log1p(0), 0) + self.ftest('log1p(e-1)', math.log1p(math.e-1), 1) + self.ftest('log1p(1)', math.log1p(1), math.log(2)) + self.assertEquals(math.log1p(INF), INF) + self.assertRaises(ValueError, math.log1p, NINF) + self.assert_(math.isnan(math.log1p(NAN))) + n= 2**90 + self.assertAlmostEquals(math.log1p(n), 62.383246250395075) + self.assertAlmostEquals(math.log1p(n), math.log1p(float(n))) def testLog10(self): self.assertRaises(TypeError, math.log10) self.ftest('log10(0.1)', math.log10(0.1), -1) self.ftest('log10(1)', math.log10(1), 0) self.ftest('log10(10)', math.log10(10), 1) + self.assertEquals(math.log(INF), INF) + self.assertRaises(ValueError, math.log10, NINF) + self.assert_(math.isnan(math.log10(NAN))) def testModf(self): self.assertRaises(TypeError, math.modf) @@ -191,12 +362,35 @@ class MathTests(unittest.TestCase): testmodf('modf(1.5)', math.modf(1.5), (0.5, 1.0)) testmodf('modf(-1.5)', math.modf(-1.5), (-0.5, -1.0)) + self.assertEquals(math.modf(INF), (0.0, INF)) + self.assertEquals(math.modf(NINF), (-0.0, NINF)) + + modf_nan = math.modf(NAN) + self.assert_(math.isnan(modf_nan[0])) + self.assert_(math.isnan(modf_nan[1])) + def testPow(self): self.assertRaises(TypeError, math.pow) self.ftest('pow(0,1)', math.pow(0,1), 0) self.ftest('pow(1,0)', math.pow(1,0), 1) self.ftest('pow(2,1)', math.pow(2,1), 2) self.ftest('pow(2,-1)', math.pow(2,-1), 0.5) + self.assertEqual(math.pow(INF, 1), INF) + self.assertEqual(math.pow(NINF, 1), NINF) + self.assertEqual((math.pow(1, INF)), 1.) + self.assertEqual((math.pow(1, NINF)), 1.) + self.assert_(math.isnan(math.pow(NAN, 1))) + self.assert_(math.isnan(math.pow(2, NAN))) + self.assert_(math.isnan(math.pow(0, NAN))) + self.assertEqual(math.pow(1, NAN), 1) + self.assertEqual(1**NAN, 1) + self.assertEqual(1**INF, 1) + self.assertEqual(1**NINF, 1) + self.assertEqual(1**0, 1) + self.assertEqual(1.**NAN, 1) + self.assertEqual(1.**INF, 1) + self.assertEqual(1.**NINF, 1) + self.assertEqual(1.**0, 1) def testRadians(self): self.assertRaises(TypeError, math.radians) @@ -209,29 +403,52 @@ class MathTests(unittest.TestCase): self.ftest('sin(0)', math.sin(0), 0) self.ftest('sin(pi/2)', math.sin(math.pi/2), 1) self.ftest('sin(-pi/2)', math.sin(-math.pi/2), -1) + try: + self.assert_(math.isnan(math.sin(INF))) + self.assert_(math.isnan(math.sin(NINF))) + except ValueError: + self.assertRaises(ValueError, math.sin, INF) + self.assertRaises(ValueError, math.sin, NINF) + self.assert_(math.isnan(math.sin(NAN))) def testSinh(self): self.assertRaises(TypeError, math.sinh) self.ftest('sinh(0)', math.sinh(0), 0) self.ftest('sinh(1)**2-cosh(1)**2', math.sinh(1)**2-math.cosh(1)**2, -1) self.ftest('sinh(1)+sinh(-1)', math.sinh(1)+math.sinh(-1), 0) + self.assertEquals(math.sinh(INF), INF) + self.assertEquals(math.sinh(-INF), -INF) + self.assert_(math.isnan(math.sinh(NAN))) def testSqrt(self): self.assertRaises(TypeError, math.sqrt) self.ftest('sqrt(0)', math.sqrt(0), 0) self.ftest('sqrt(1)', math.sqrt(1), 1) self.ftest('sqrt(4)', math.sqrt(4), 2) + self.assertEquals(math.sqrt(INF), INF) + self.assertRaises(ValueError, math.sqrt, NINF) + self.assert_(math.isnan(math.sqrt(NAN))) def testTan(self): self.assertRaises(TypeError, math.tan) self.ftest('tan(0)', math.tan(0), 0) self.ftest('tan(pi/4)', math.tan(math.pi/4), 1) self.ftest('tan(-pi/4)', math.tan(-math.pi/4), -1) + try: + self.assert_(math.isnan(math.tan(INF))) + self.assert_(math.isnan(math.tan(NINF))) + except: + self.assertRaises(ValueError, math.tan, INF) + self.assertRaises(ValueError, math.tan, NINF) + self.assert_(math.isnan(math.tan(NAN))) def testTanh(self): self.assertRaises(TypeError, math.tanh) self.ftest('tanh(0)', math.tanh(0), 0) self.ftest('tanh(1)+tanh(-1)', math.tanh(1)+math.tanh(-1), 0) + self.ftest('tanh(inf)', math.tanh(INF), 1) + self.ftest('tanh(-inf)', math.tanh(NINF), -1) + self.assert_(math.isnan(math.tanh(NAN))) def test_trunc(self): self.assertEqual(math.trunc(1), 1) @@ -326,9 +543,27 @@ class MathTests(unittest.TestCase): else: self.fail("sqrt(-1) didn't raise ValueError") + def test_testfile(self): + if not float.__getformat__("double").startswith("IEEE"): + return + for id, fn, ar, ai, er, ei, flags in parse_testfile(test_file): + # Skip if either the input or result is complex, or if + # flags is nonempty + if ai != 0. or ei != 0. or flags: + continue + if fn in ['rect', 'polar']: + # no real versions of rect, polar + continue + func = getattr(math, fn) + result = func(ar) + self.ftest("%s:%s(%r)" % (id, fn, ar), result, er) def test_main(): - run_unittest(MathTests) + from doctest import DocFileSuite + suite = unittest.TestSuite() + suite.addTest(unittest.makeSuite(MathTests)) + suite.addTest(DocFileSuite("ieee754.txt")) + run_unittest(suite) if __name__ == '__main__': test_main() |