FA-87654 / Collision detection broadphase / Member archive

Axis variance is computed from box minima · case 04

Scenes with mixed box sizes sweep along a poorly separating axis.

Member previewVariant 4 · 3 implementations · 8 checks per implementation

Case contract

solve(boxes): 3D sweep-and-prune axis selection. Boxes [id,minx,miny,minz,maxx,maxy,maxz]. Pick the axis with the largest population variance of box centres (first axis on ties), then order ids by (min on that axis, id). Return [axis, variance rounded to 6, ordered ids].

Why this case matters

Broadphase stages decide which object pairs ever reach narrowphase; a wrong boundary, ordering or bookkeeping rule silently drops real contacts or floods the solver with false candidates.

One recorded failure

Sample boundary fixture

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

Boundary fixture	Actual	Expected	Outcome
case 0	`[2, 4.234375, [6, 12, 28, 32, 23, 36, 1, 27]]`	`[2, 11.089844, [6, 12, 28, 32, 23, 36, 1, 27]]`	Failed

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