| # Python test set -- math module |
| # XXXX Should not do tests around zero only |
| |
| from test_support import * |
| |
| 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 '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 %s, expected %s'%\ |
| (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) |
| |
| 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 %s, expected %s'%\ |
| (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 '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) |