Comment #4 on issue 3617 by [email protected]: Impossible to work with
floating point numbers in the geometry module
http://code.google.com/p/sympy/issues/detail?id=3617
So probably we just need to pick a suitable norm, and make sure that points
are within epsilon of wherever we want them to be in that norm (I'm
guessing just standard Euclidean norm will be fine, but I don't know enough
numerical analysis to know for sure; also can we just reuse Point.distance
or will that lead to circular reasoning, so to speak?).
I applied that patch and ran the tests, and the only failures were:
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sympy/geometry/tests/test_geometry.py:test_line
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File "/users/aaronmeurer/documents/python/sympy/sympy/sympy/geometry/tests/test_geometry.py",
line 255, in test_line
Point(2, 1 + C.tan(0.05*pi))))
AssertionError
and from the doctests:
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sympy.geometry.point.Point
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File "sympy/geometry/point.py", line 70, in sympy.geometry.point.Point
Failed example:
Point(0.5, 0.25)
Expected:
Point(1/2, 1/4)
Got:
Point(0.5, 0.25)
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_______________________________________________________________
sympy.geometry.util.centroid
________________________________________________________________
File "sympy/geometry/util.py", line 347, in sympy.geometry.util.centroid
Failed example:
centroid(p, q)
Expected:
Point(1, -sqrt(2) + 2)
Got:
Point(1, 2*sqrt(2)/(2 + 2*sqrt(2)))
(on that last one, 2*sqrt(2)/(2 + 2*sqrt(2)) == -sqrt(2) + 2). So it looks
like they're all just an issues of expecting exact results.
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