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208 lines
6.4 KiB
Python
208 lines
6.4 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 TestFailed, verbose
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seps='1e-05'
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eps = eval(seps)
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print 'math module, testing with eps', seps
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import math
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def testit(name, value, expected):
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if abs(value-expected) > eps:
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raise TestFailed, '%s returned %f, expected %f'%\
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(name, value, expected)
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print 'constants'
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testit('pi', math.pi, 3.1415926)
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testit('e', math.e, 2.7182818)
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print 'acos'
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testit('acos(-1)', math.acos(-1), math.pi)
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testit('acos(0)', math.acos(0), math.pi/2)
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testit('acos(1)', math.acos(1), 0)
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print 'asin'
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testit('asin(-1)', math.asin(-1), -math.pi/2)
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testit('asin(0)', math.asin(0), 0)
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testit('asin(1)', math.asin(1), math.pi/2)
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print 'atan'
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testit('atan(-1)', math.atan(-1), -math.pi/4)
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testit('atan(0)', math.atan(0), 0)
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testit('atan(1)', math.atan(1), math.pi/4)
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print 'atan2'
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testit('atan2(-1, 0)', math.atan2(-1, 0), -math.pi/2)
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testit('atan2(-1, 1)', math.atan2(-1, 1), -math.pi/4)
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testit('atan2(0, 1)', math.atan2(0, 1), 0)
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testit('atan2(1, 1)', math.atan2(1, 1), math.pi/4)
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testit('atan2(1, 0)', math.atan2(1, 0), math.pi/2)
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print 'ceil'
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testit('ceil(0.5)', math.ceil(0.5), 1)
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testit('ceil(1.0)', math.ceil(1.0), 1)
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testit('ceil(1.5)', math.ceil(1.5), 2)
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testit('ceil(-0.5)', math.ceil(-0.5), 0)
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testit('ceil(-1.0)', math.ceil(-1.0), -1)
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testit('ceil(-1.5)', math.ceil(-1.5), -1)
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print 'cos'
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testit('cos(-pi/2)', math.cos(-math.pi/2), 0)
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testit('cos(0)', math.cos(0), 1)
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testit('cos(pi/2)', math.cos(math.pi/2), 0)
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testit('cos(pi)', math.cos(math.pi), -1)
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print 'cosh'
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testit('cosh(0)', math.cosh(0), 1)
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testit('cosh(2)-2*cosh(1)**2', math.cosh(2)-2*math.cosh(1)**2, -1) # Thanks to Lambert
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print 'degrees'
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testit('degrees(pi)', math.degrees(math.pi), 180.0)
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testit('degrees(pi/2)', math.degrees(math.pi/2), 90.0)
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testit('degrees(-pi/4)', math.degrees(-math.pi/4), -45.0)
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print 'exp'
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testit('exp(-1)', math.exp(-1), 1/math.e)
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testit('exp(0)', math.exp(0), 1)
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testit('exp(1)', math.exp(1), math.e)
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print 'fabs'
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testit('fabs(-1)', math.fabs(-1), 1)
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testit('fabs(0)', math.fabs(0), 0)
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testit('fabs(1)', math.fabs(1), 1)
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print 'floor'
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testit('floor(0.5)', math.floor(0.5), 0)
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testit('floor(1.0)', math.floor(1.0), 1)
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testit('floor(1.5)', math.floor(1.5), 1)
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testit('floor(-0.5)', math.floor(-0.5), -1)
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testit('floor(-1.0)', math.floor(-1.0), -1)
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testit('floor(-1.5)', math.floor(-1.5), -2)
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print 'fmod'
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testit('fmod(10,1)', math.fmod(10,1), 0)
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testit('fmod(10,0.5)', math.fmod(10,0.5), 0)
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testit('fmod(10,1.5)', math.fmod(10,1.5), 1)
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testit('fmod(-10,1)', math.fmod(-10,1), 0)
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testit('fmod(-10,0.5)', math.fmod(-10,0.5), 0)
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testit('fmod(-10,1.5)', math.fmod(-10,1.5), -1)
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print 'frexp'
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def testfrexp(name, (mant, exp), (emant, eexp)):
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if abs(mant-emant) > eps or exp != eexp:
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raise TestFailed, '%s returned %r, expected %r'%\
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(name, (mant, exp), (emant,eexp))
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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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print 'hypot'
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testit('hypot(0,0)', math.hypot(0,0), 0)
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testit('hypot(3,4)', math.hypot(3,4), 5)
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print 'ldexp'
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testit('ldexp(0,1)', math.ldexp(0,1), 0)
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testit('ldexp(1,1)', math.ldexp(1,1), 2)
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testit('ldexp(1,-1)', math.ldexp(1,-1), 0.5)
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testit('ldexp(-1,1)', math.ldexp(-1,1), -2)
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print 'log'
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testit('log(1/e)', math.log(1/math.e), -1)
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testit('log(1)', math.log(1), 0)
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testit('log(e)', math.log(math.e), 1)
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testit('log(32,2)', math.log(32,2), 5)
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testit('log(10**40, 10)', math.log(10**40, 10), 40)
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testit('log(10**40, 10**20)', math.log(10**40, 10**20), 2)
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print 'log10'
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testit('log10(0.1)', math.log10(0.1), -1)
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testit('log10(1)', math.log10(1), 0)
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testit('log10(10)', math.log10(10), 1)
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print 'modf'
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def testmodf(name, (v1, v2), (e1, e2)):
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if abs(v1-e1) > eps or abs(v2-e2):
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raise TestFailed, '%s returned %r, expected %r'%\
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(name, (v1,v2), (e1,e2))
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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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print 'pow'
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testit('pow(0,1)', math.pow(0,1), 0)
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testit('pow(1,0)', math.pow(1,0), 1)
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testit('pow(2,1)', math.pow(2,1), 2)
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testit('pow(2,-1)', math.pow(2,-1), 0.5)
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print 'radians'
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testit('radians(180)', math.radians(180), math.pi)
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testit('radians(90)', math.radians(90), math.pi/2)
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testit('radians(-45)', math.radians(-45), -math.pi/4)
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print 'sin'
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testit('sin(0)', math.sin(0), 0)
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testit('sin(pi/2)', math.sin(math.pi/2), 1)
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testit('sin(-pi/2)', math.sin(-math.pi/2), -1)
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print 'sinh'
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testit('sinh(0)', math.sinh(0), 0)
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testit('sinh(1)**2-cosh(1)**2', math.sinh(1)**2-math.cosh(1)**2, -1)
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testit('sinh(1)+sinh(-1)', math.sinh(1)+math.sinh(-1), 0)
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print 'sqrt'
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testit('sqrt(0)', math.sqrt(0), 0)
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testit('sqrt(1)', math.sqrt(1), 1)
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testit('sqrt(4)', math.sqrt(4), 2)
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print 'tan'
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testit('tan(0)', math.tan(0), 0)
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testit('tan(pi/4)', math.tan(math.pi/4), 1)
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testit('tan(-pi/4)', math.tan(-math.pi/4), -1)
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print 'tanh'
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testit('tanh(0)', math.tanh(0), 0)
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testit('tanh(1)+tanh(-1)', math.tanh(1)+math.tanh(-1), 0)
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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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def test_exceptions():
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print 'exceptions'
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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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raise TestFailed("underflowing exp() should not have raised "
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"an exception")
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if x != 0:
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raise TestFailed("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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raise TestFailed("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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raise TestFailed("sqrt(-1) didn't raise ValueError")
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if verbose:
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test_exceptions()
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