A diagonal segment's copper has no axis-aligned exact tile, so segment_box falls
back to the bounding box -- a huge conservative cover that makes diagonal traces
conflict with everything. segment_octagon builds the tight cover instead: the
copper of a 0/45/90/135-degree segment swept by a radius, as a convex integer
Simplex bounded by the four axis and four x+y / x-y diagonal half-planes.
Diagonal bounds widen by ceil_sqrt2(radius) -- the exact integer ceiling of
radius*sqrt(2) via math.isqrt, no float -- rounded outward, so the octagon is a
provable superset of segment (+) disk(radius) (verified over 20k sampled copper
points). Growing by clearance is just a larger radius, giving both the stored
copper tile and the queried clearance region. overlaps_2d tests a real 2-D
overlap via exact Simplex intersection, accepting mixed IntBox/Simplex tiles.
Ryan Malloy
8380318d3c