diff -r 000000000000 -r ae805ac0140d python-2.5.2/win32/Lib/test/test_math.py --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/python-2.5.2/win32/Lib/test/test_math.py Fri Apr 03 17:19:34 2009 +0100 @@ -0,0 +1,208 @@ +# Python test set -- math module +# XXXX Should not do tests around zero only + +from test.test_support import TestFailed, verbose + +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()