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returns the relative position of point test to the oriented sphere defined
by p, q, r and s. The order of the points p, q, r, and s is important,
since it determines the orientation of the implicitly constructed
sphere. If the points p, q, r and s are positive oriented, positive side
is the bounded interior of the sphere.
In case of degeneracies, ON_ORIENTED_BOUNDARY is returned if all points are coplanar. Otherwise, there is a cyclic permutation of the five points that puts four non coplanar points first, it is used to answer the predicate: e.g. side_of_oriented_sphere(q, r, s, test, p) is returned if q, r, s, and test are non coplanar. |