* let the clipper work on relative angles to simplify the math.
* properly initialize the initial visible range and preserve it for multiple invocations.
* track the maximum visible angular range per sector. While possibly not sufficient to handle every edge case imaginable it has low overhead and is still useful to eliminate obvious cases that do not need more complex checks. It is enough to fix the blue door in Duke E3L4.
* removed unused elements of the clipper.
