diff options
Diffstat (limited to 'Lib/test/test_math.py')
| -rw-r--r-- | Lib/test/test_math.py | 435 |
1 files changed, 234 insertions, 201 deletions
diff --git a/Lib/test/test_math.py b/Lib/test/test_math.py index a092265..a45fc34 100644 --- a/Lib/test/test_math.py +++ b/Lib/test/test_math.py @@ -1,208 +1,241 @@ # Python test set -- math module # XXXX Should not do tests around zero only -from test.test_support import TestFailed, verbose +from test.test_support import run_unittest, verbose +import unittest +import math 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() +class MathTests(unittest.TestCase): + + def ftest(self, name, value, expected): + if abs(value-expected) > eps: + self.fail('%s returned %f, expected %f'%\ + (name, value, expected)) + + def testConstants(self): + self.ftest('pi', math.pi, 3.1415926) + self.ftest('e', math.e, 2.7182818) + + def testAcos(self): + self.assertRaises(TypeError, math.acos) + 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) + + 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) + + 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) + + def testAtan2(self): + self.assertRaises(TypeError, math.atan2) + self.ftest('atan2(-1, 0)', math.atan2(-1, 0), -math.pi/2) + self.ftest('atan2(-1, 1)', math.atan2(-1, 1), -math.pi/4) + self.ftest('atan2(0, 1)', math.atan2(0, 1), 0) + self.ftest('atan2(1, 1)', math.atan2(1, 1), math.pi/4) + self.ftest('atan2(1, 0)', math.atan2(1, 0), math.pi/2) + + def testCeil(self): + self.assertRaises(TypeError, math.ceil) + self.ftest('ceil(0.5)', math.ceil(0.5), 1) + self.ftest('ceil(1.0)', math.ceil(1.0), 1) + self.ftest('ceil(1.5)', math.ceil(1.5), 2) + 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) + + 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) + + 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 + + def testDegrees(self): + self.assertRaises(TypeError, math.degrees) + self.ftest('degrees(pi)', math.degrees(math.pi), 180.0) + self.ftest('degrees(pi/2)', math.degrees(math.pi/2), 90.0) + self.ftest('degrees(-pi/4)', math.degrees(-math.pi/4), -45.0) + + def testExp(self): + self.assertRaises(TypeError, math.exp) + 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) + + def testFabs(self): + self.assertRaises(TypeError, math.fabs) + self.ftest('fabs(-1)', math.fabs(-1), 1) + self.ftest('fabs(0)', math.fabs(0), 0) + self.ftest('fabs(1)', math.fabs(1), 1) + + def testFloor(self): + self.assertRaises(TypeError, math.floor) + self.ftest('floor(0.5)', math.floor(0.5), 0) + self.ftest('floor(1.0)', math.floor(1.0), 1) + self.ftest('floor(1.5)', math.floor(1.5), 1) + self.ftest('floor(-0.5)', math.floor(-0.5), -1) + self.ftest('floor(-1.0)', math.floor(-1.0), -1) + self.ftest('floor(-1.5)', math.floor(-1.5), -2) + + def testFmod(self): + self.assertRaises(TypeError, math.fmod) + 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.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) + + def testFrexp(self): + self.assertRaises(TypeError, math.frexp) + + def testfrexp(name, (mant, exp), (emant, eexp)): + if abs(mant-emant) > eps or exp != eexp: + self.fail('%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)) + + 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) + + def testLdexp(self): + self.assertRaises(TypeError, math.ldexp) + self.ftest('ldexp(0,1)', math.ldexp(0,1), 0) + 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) + + def testLog(self): + self.assertRaises(TypeError, math.log) + self.ftest('log(1/e)', math.log(1/math.e), -1) + self.ftest('log(1)', math.log(1), 0) + self.ftest('log(e)', math.log(math.e), 1) + 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) + + 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) + + def testModf(self): + self.assertRaises(TypeError, math.modf) + + def testmodf(name, (v1, v2), (e1, e2)): + if abs(v1-e1) > eps or abs(v2-e2): + self.fail('%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)) + + 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) + + def testRadians(self): + self.assertRaises(TypeError, math.radians) + self.ftest('radians(180)', math.radians(180), math.pi) + self.ftest('radians(90)', math.radians(90), math.pi/2) + self.ftest('radians(-45)', math.radians(-45), -math.pi/4) + + def testSin(self): + self.assertRaises(TypeError, math.sin) + 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) + + 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) + + 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) + + 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) + + 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) + + # 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. + + if verbose: + def test_exceptions(self): + 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 + self.fail("underflowing exp() should not have raised " + "an exception") + if x != 0: + self.fail("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: + self.fail("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: + self.fail("sqrt(-1) didn't raise ValueError") + + +def test_main(): + run_unittest(MathTests) + +if __name__ == '__main__': + test_main() |