| # Python test set -- math module |
| # XXXX Should not do tests around zero only |
| |
| from test.test_support import run_unittest, verbose |
| import unittest |
| import math |
| |
| seps='1e-05' |
| eps = eval(seps) |
| |
| 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() |