FA-70459 / GIS polygon topology / Member archive

Bounding box topological relation: within operand completeness · case 04

A box poking out of the top of another is reported as within.

Member previewVariant 4 · 3 implementations · 8 checks per implementation

Case contract

Input [a, b], closed boxes [minx, miny, maxx, maxy] with positive width and height. Return "equals" if identical, else "disjoint" if separated with no shared point, else "contains" if a covers b (shared edges allowed), "within" if b covers a, else "touches" if the boxes share only boundary, else "overlaps".

Why this case matters

Spatial indexes and map tile filters prune candidates with envelope relations before exact geometry tests.

One recorded failure

Sample boundary fixture

This sample comes from the broken implementation of a controlled reproducer.

Boundary fixture	Actual	Expected	Outcome
control #7	`"within"`	`"touches"`	Failed

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