FA-70658 / GIS polygon topology / Member archive

Coverage gap and overlap areas: interior containment · case 03

Rectangles that merely share an edge are reported as overlapping.

Member previewVariant 3 · 3 implementations · 8 checks per implementation

Case contract

Input [rects, extent]: axis-aligned integer rectangles [x0, y0, x1, y1] forming a coverage and an extent box. Split the plane on all rectangle and extent edges; for each cell inside the extent count the rectangles whose OPEN interior contains the cell centre. Gap area sums cells with count 0, overlap area sums (once) cells with count >= 2. Parts outside the extent are ignored. Return [gap, overlap].

Why this case matters

Cadastral and zoning coverages must tile the study area exactly; QA reports gaps and overlaps by area.

One recorded failure

Sample boundary fixture

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

Boundary fixture	Actual	Expected	Outcome
control #2	`[40, 10]`	`[84, 0]`	Failed

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