Merged revisions 62420-62421,62423-62424 via svnmerge from
svn+ssh://pythondev@svn.python.org/python/trunk ........ r62420 | mark.dickinson | 2008-04-20 20:30:05 +0200 (Sun, 20 Apr 2008) | 3 lines Even more fixes for alpha Tru64, this time for the phase and polar methods. ........ r62421 | mark.dickinson | 2008-04-20 22:38:48 +0200 (Sun, 20 Apr 2008) | 2 lines Add test for tanh(-0.) == -0. on IEEE 754 systems ........ r62423 | amaury.forgeotdarc | 2008-04-20 23:02:21 +0200 (Sun, 20 Apr 2008) | 3 lines Correct an apparent refleak in test_pkgutil: zipimport._zip_directory_cache contains info for all processed zip files, even when they are no longer used. ........ r62424 | mark.dickinson | 2008-04-20 23:39:04 +0200 (Sun, 20 Apr 2008) | 4 lines math.atan2 is misbehaving on Windows; this patch should fix the problem in the same way that the cmath.phase problems were fixed. ........
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@ -124,6 +124,59 @@ class MathTests(unittest.TestCase):
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self.ftest('atan2(1, 1)', math.atan2(1, 1), math.pi/4)
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self.ftest('atan2(1, 0)', math.atan2(1, 0), math.pi/2)
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# math.atan2(0, x)
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self.ftest('atan2(0., -inf)', math.atan2(0., NINF), math.pi)
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self.ftest('atan2(0., -2.3)', math.atan2(0., -2.3), math.pi)
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self.ftest('atan2(0., -0.)', math.atan2(0., -0.), math.pi)
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self.assertEqual(math.atan2(0., 0.), 0.)
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self.assertEqual(math.atan2(0., 2.3), 0.)
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self.assertEqual(math.atan2(0., INF), 0.)
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self.assert_(math.isnan(math.atan2(0., NAN)))
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# math.atan2(-0, x)
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self.ftest('atan2(-0., -inf)', math.atan2(-0., NINF), -math.pi)
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self.ftest('atan2(-0., -2.3)', math.atan2(-0., -2.3), -math.pi)
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self.ftest('atan2(-0., -0.)', math.atan2(-0., -0.), -math.pi)
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self.assertEqual(math.atan2(-0., 0.), -0.)
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self.assertEqual(math.atan2(-0., 2.3), -0.)
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self.assertEqual(math.atan2(-0., INF), -0.)
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self.assert_(math.isnan(math.atan2(-0., NAN)))
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# math.atan2(INF, x)
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self.ftest('atan2(inf, -inf)', math.atan2(INF, NINF), math.pi*3/4)
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self.ftest('atan2(inf, -2.3)', math.atan2(INF, -2.3), math.pi/2)
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self.ftest('atan2(inf, -0.)', math.atan2(INF, -0.0), math.pi/2)
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self.ftest('atan2(inf, 0.)', math.atan2(INF, 0.0), math.pi/2)
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self.ftest('atan2(inf, 2.3)', math.atan2(INF, 2.3), math.pi/2)
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self.ftest('atan2(inf, inf)', math.atan2(INF, INF), math.pi/4)
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self.assert_(math.isnan(math.atan2(INF, NAN)))
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# math.atan2(NINF, x)
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self.ftest('atan2(-inf, -inf)', math.atan2(NINF, NINF), -math.pi*3/4)
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self.ftest('atan2(-inf, -2.3)', math.atan2(NINF, -2.3), -math.pi/2)
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self.ftest('atan2(-inf, -0.)', math.atan2(NINF, -0.0), -math.pi/2)
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self.ftest('atan2(-inf, 0.)', math.atan2(NINF, 0.0), -math.pi/2)
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self.ftest('atan2(-inf, 2.3)', math.atan2(NINF, 2.3), -math.pi/2)
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self.ftest('atan2(-inf, inf)', math.atan2(NINF, INF), -math.pi/4)
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self.assert_(math.isnan(math.atan2(NINF, NAN)))
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# math.atan2(+finite, x)
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self.ftest('atan2(2.3, -inf)', math.atan2(2.3, NINF), math.pi)
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self.ftest('atan2(2.3, -0.)', math.atan2(2.3, -0.), math.pi/2)
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self.ftest('atan2(2.3, 0.)', math.atan2(2.3, 0.), math.pi/2)
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self.assertEqual(math.atan2(2.3, INF), 0.)
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self.assert_(math.isnan(math.atan2(2.3, NAN)))
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# math.atan2(-finite, x)
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self.ftest('atan2(-2.3, -inf)', math.atan2(-2.3, NINF), -math.pi)
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self.ftest('atan2(-2.3, -0.)', math.atan2(-2.3, -0.), -math.pi/2)
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self.ftest('atan2(-2.3, 0.)', math.atan2(-2.3, 0.), -math.pi/2)
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self.assertEqual(math.atan2(-2.3, INF), -0.)
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self.assert_(math.isnan(math.atan2(-2.3, NAN)))
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# math.atan2(NAN, x)
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self.assert_(math.isnan(math.atan2(NAN, NINF)))
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self.assert_(math.isnan(math.atan2(NAN, -2.3)))
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self.assert_(math.isnan(math.atan2(NAN, -0.)))
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self.assert_(math.isnan(math.atan2(NAN, 0.)))
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self.assert_(math.isnan(math.atan2(NAN, 2.3)))
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self.assert_(math.isnan(math.atan2(NAN, INF)))
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self.assert_(math.isnan(math.atan2(NAN, NAN)))
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def testCeil(self):
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self.assertRaises(TypeError, math.ceil)
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self.assertEquals(int, type(math.ceil(0.5)))
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@ -575,6 +628,11 @@ class MathTests(unittest.TestCase):
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self.ftest('tanh(inf)', math.tanh(INF), 1)
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self.ftest('tanh(-inf)', math.tanh(NINF), -1)
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self.assert_(math.isnan(math.tanh(NAN)))
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# check that tanh(-0.) == -0. on IEEE 754 systems
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if float.__getformat__("double").startswith("IEEE"):
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self.assertEqual(math.tanh(-0.), -0.)
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self.assertEqual(math.copysign(1., math.tanh(-0.)),
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math.copysign(1., -0.))
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def test_trunc(self):
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self.assertEqual(math.trunc(1), 1)
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@ -122,6 +122,9 @@ class PkgutilPEP302Tests(unittest.TestCase):
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def test_main():
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run_unittest(PkgutilTests, PkgutilPEP302Tests)
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# this is necessary if test is run repeated (like when finding leaks)
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import zipimport
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zipimport._zip_directory_cache.clear()
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if __name__ == '__main__':
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test_main()
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@ -264,7 +264,8 @@ c_atan(Py_complex z)
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return r;
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}
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/* Windows screws up atan2 for inf and nan */
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/* Windows screws up atan2 for inf and nan, and alpha Tru64 5.1 doesn't follow
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C99 for atan2(0., 0.). */
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static double
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c_atan2(Py_complex z)
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{
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@ -282,6 +283,14 @@ c_atan2(Py_complex z)
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/* atan2(+-inf, x) == +-pi/2 for finite x */
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return copysign(0.5*Py_MATH_PI, z.imag);
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}
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if (Py_IS_INFINITY(z.real) || z.imag == 0.) {
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if (copysign(1., z.real) == 1.)
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/* atan2(+-y, +inf) = atan2(+-0, +x) = +-0. */
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return copysign(0., z.imag);
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else
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/* atan2(+-y, -inf) = atan2(+-0., -x) = +-pi. */
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return copysign(Py_MATH_PI, z.imag);
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}
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return atan2(z.imag, z.real);
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}
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@ -95,6 +95,42 @@ is_error(double x)
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return result;
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}
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/*
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wrapper for atan2 that deals directly with special cases before
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delegating to the platform libm for the remaining cases. This
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is necessary to get consistent behaviour across platforms.
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Windows, FreeBSD and alpha Tru64 are amongst platforms that don't
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always follow C99.
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*/
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static double
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m_atan2(double y, double x)
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{
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if (Py_IS_NAN(x) || Py_IS_NAN(y))
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return Py_NAN;
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if (Py_IS_INFINITY(y)) {
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if (Py_IS_INFINITY(x)) {
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if (copysign(1., x) == 1.)
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/* atan2(+-inf, +inf) == +-pi/4 */
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return copysign(0.25*Py_MATH_PI, y);
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else
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/* atan2(+-inf, -inf) == +-pi*3/4 */
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return copysign(0.75*Py_MATH_PI, y);
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}
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/* atan2(+-inf, x) == +-pi/2 for finite x */
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return copysign(0.5*Py_MATH_PI, y);
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}
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if (Py_IS_INFINITY(x) || y == 0.) {
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if (copysign(1., x) == 1.)
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/* atan2(+-y, +inf) = atan2(+-0, +x) = +-0. */
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return copysign(0., y);
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else
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/* atan2(+-y, -inf) = atan2(+-0., -x) = +-pi. */
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return copysign(Py_MATH_PI, y);
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}
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return atan2(y, x);
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}
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/*
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math_1 is used to wrap a libm function f that takes a double
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arguments and returns a double.
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@ -250,7 +286,7 @@ FUNC1(asinh, asinh, 0,
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"asinh(x)\n\nReturn the hyperbolic arc sine (measured in radians) of x.")
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FUNC1(atan, atan, 0,
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"atan(x)\n\nReturn the arc tangent (measured in radians) of x.")
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FUNC2(atan2, atan2,
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FUNC2(atan2, m_atan2,
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"atan2(y, x)\n\nReturn the arc tangent (measured in radians) of y/x.\n"
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"Unlike atan(y/x), the signs of both x and y are considered.")
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FUNC1(atanh, atanh, 0,
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