Ports geometry/planar/TileShape.java (the border-line-based containment,
area, and centre-of-gravity logic) and Simplex.java (a convex region as
the intersection of directed half-planes). Corners are exact
intersections of consecutive border lines; point containment uses exact
side_of. The remove_redundant_lines normalization — dropping lines that
do not contribute and detecting emptiness — is ported line-for-line.
Supporting additions: Line.compare_to/__lt__ (angular sort order),
Line.fast_equals, Line.side_of_intersection, Line.translate (perpendicular
offset), IntDirection.determinant, and IntBox.to_simplex.
offset is approximate (rounded translated lines, as upstream); enlarge
clips to the enlarged bounding box pending the IntOctagon port.
Since there is no JVM oracle, tests assert invariants: corners lie
exactly on their border lines (exact side_of == 0), IntBox -> Simplex
preserves the region over a sampled grid, intersection is contained in
both operands and a point is in the result iff in both, and get_instance
normalization drops redundant lines and detects empty half-plane pairs.
Ryan Malloy
1599d181b5