P255: Enumeration of all plane straight-line graphs on a given point set in the plane

P255: Enumeration of all plane straight-line graphs on a given point set in the plane
Input:
A point set $P$ in the plane.
Output:
All plane straight-line graphs on $P$.
Complexity:
$O(|P|\log|P|)$ time per solution.
Comment:
Use gray code.
Reference:
[Aichholzer2007] (Bibtex)