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2b869943fa
to complex using its __complex__() method before falling back to the __float__() method. Therefore, the functions in the cmath module now can operate on objects that define a __complex__() method. (backport)
196 lines
7.7 KiB
Python
Executable file
196 lines
7.7 KiB
Python
Executable file
from test.test_support import run_unittest
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import unittest
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import cmath, math
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class CMathTests(unittest.TestCase):
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# list of all functions in cmath
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test_functions = [getattr(cmath, fname) for fname in [
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'acos', 'acosh', 'asin', 'asinh', 'atan', 'atanh',
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'cos', 'cosh', 'exp', 'log', 'log10', 'sin', 'sinh',
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'sqrt', 'tan', 'tanh']]
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# test first and second arguments independently for 2-argument log
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test_functions.append(lambda x : cmath.log(x, 1729. + 0j))
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test_functions.append(lambda x : cmath.log(14.-27j, x))
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def cAssertAlmostEqual(self, a, b, rel_eps = 1e-10, abs_eps = 1e-100):
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"""Check that two complex numbers are almost equal."""
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# the two complex numbers are considered almost equal if
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# either the relative error is <= rel_eps or the absolute error
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# is tiny, <= abs_eps.
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if a == b == 0:
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return
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absolute_error = abs(a-b)
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relative_error = absolute_error/max(abs(a), abs(b))
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if relative_error > rel_eps and absolute_error > abs_eps:
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self.fail("%s and %s are not almost equal" % (a, b))
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def test_constants(self):
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e_expected = 2.71828182845904523536
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pi_expected = 3.14159265358979323846
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self.assertAlmostEqual(cmath.pi, pi_expected, 9,
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"cmath.pi is %s; should be %s" % (cmath.pi, pi_expected))
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self.assertAlmostEqual(cmath.e, e_expected, 9,
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"cmath.e is %s; should be %s" % (cmath.e, e_expected))
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def test_user_object(self):
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# Test automatic calling of __complex__ and __float__ by cmath
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# functions
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# some random values to use as test values; we avoid values
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# for which any of the functions in cmath is undefined
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# (i.e. 0., 1., -1., 1j, -1j) or would cause overflow
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cx_arg = 4.419414439 + 1.497100113j
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flt_arg = -6.131677725
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# a variety of non-complex numbers, used to check that
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# non-complex return values from __complex__ give an error
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non_complexes = ["not complex", 1, 5L, 2., None,
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object(), NotImplemented]
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# Now we introduce a variety of classes whose instances might
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# end up being passed to the cmath functions
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# usual case: new-style class implementing __complex__
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class MyComplex(object):
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def __init__(self, value):
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self.value = value
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def __complex__(self):
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return self.value
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# old-style class implementing __complex__
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class MyComplexOS:
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def __init__(self, value):
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self.value = value
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def __complex__(self):
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return self.value
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# classes for which __complex__ raises an exception
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class SomeException(Exception):
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pass
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class MyComplexException(object):
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def __complex__(self):
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raise SomeException
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class MyComplexExceptionOS:
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def __complex__(self):
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raise SomeException
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# some classes not providing __float__ or __complex__
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class NeitherComplexNorFloat(object):
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pass
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class NeitherComplexNorFloatOS:
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pass
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class MyInt(object):
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def __int__(self): return 2
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def __long__(self): return 2L
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def __index__(self): return 2
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class MyIntOS:
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def __int__(self): return 2
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def __long__(self): return 2L
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def __index__(self): return 2
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# other possible combinations of __float__ and __complex__
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# that should work
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class FloatAndComplex(object):
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def __float__(self):
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return flt_arg
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def __complex__(self):
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return cx_arg
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class FloatAndComplexOS:
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def __float__(self):
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return flt_arg
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def __complex__(self):
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return cx_arg
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class JustFloat(object):
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def __float__(self):
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return flt_arg
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class JustFloatOS:
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def __float__(self):
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return flt_arg
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for f in self.test_functions:
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# usual usage
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self.cAssertAlmostEqual(f(MyComplex(cx_arg)), f(cx_arg))
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self.cAssertAlmostEqual(f(MyComplexOS(cx_arg)), f(cx_arg))
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# other combinations of __float__ and __complex__
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self.cAssertAlmostEqual(f(FloatAndComplex()), f(cx_arg))
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self.cAssertAlmostEqual(f(FloatAndComplexOS()), f(cx_arg))
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self.cAssertAlmostEqual(f(JustFloat()), f(flt_arg))
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self.cAssertAlmostEqual(f(JustFloatOS()), f(flt_arg))
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# TypeError should be raised for classes not providing
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# either __complex__ or __float__, even if they provide
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# __int__, __long__ or __index__. An old-style class
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# currently raises AttributeError instead of a TypeError;
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# this could be considered a bug.
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self.assertRaises(TypeError, f, NeitherComplexNorFloat())
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self.assertRaises(TypeError, f, MyInt())
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self.assertRaises(Exception, f, NeitherComplexNorFloatOS())
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self.assertRaises(Exception, f, MyIntOS())
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# non-complex return value from __complex__ -> TypeError
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for bad_complex in non_complexes:
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self.assertRaises(TypeError, f, MyComplex(bad_complex))
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self.assertRaises(TypeError, f, MyComplexOS(bad_complex))
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# exceptions in __complex__ should be propagated correctly
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self.assertRaises(SomeException, f, MyComplexException())
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self.assertRaises(SomeException, f, MyComplexExceptionOS())
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def test_input_type(self):
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# ints and longs should be acceptable inputs to all cmath
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# functions, by virtue of providing a __float__ method
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for f in self.test_functions:
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for arg in [2, 2L, 2.]:
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self.cAssertAlmostEqual(f(arg), f(arg.__float__()))
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# but strings should give a TypeError
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for f in self.test_functions:
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for arg in ["a", "long_string", "0", "1j", ""]:
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self.assertRaises(TypeError, f, arg)
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def test_cmath_matches_math(self):
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# check that corresponding cmath and math functions are equal
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# for floats in the appropriate range
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# test_values in (0, 1)
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test_values = [0.01, 0.1, 0.2, 0.5, 0.9, 0.99]
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# test_values for functions defined on [-1., 1.]
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unit_interval = test_values + [-x for x in test_values] + \
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[0., 1., -1.]
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# test_values for log, log10, sqrt
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positive = test_values + [1.] + [1./x for x in test_values]
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nonnegative = [0.] + positive
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# test_values for functions defined on the whole real line
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real_line = [0.] + positive + [-x for x in positive]
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test_functions = {
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'acos' : unit_interval,
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'asin' : unit_interval,
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'atan' : real_line,
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'cos' : real_line,
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'cosh' : real_line,
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'exp' : real_line,
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'log' : positive,
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'log10' : positive,
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'sin' : real_line,
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'sinh' : real_line,
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'sqrt' : nonnegative,
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'tan' : real_line,
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'tanh' : real_line}
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for fn, values in test_functions.items():
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float_fn = getattr(math, fn)
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complex_fn = getattr(cmath, fn)
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for v in values:
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self.cAssertAlmostEqual(float_fn(v), complex_fn(v))
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# test two-argument version of log with various bases
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for base in [0.5, 2., 10.]:
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for v in positive:
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self.cAssertAlmostEqual(cmath.log(v, base), math.log(v, base))
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def test_main():
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run_unittest(CMathTests)
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if __name__ == "__main__":
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test_main()
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