Soul's second pass (CONFIRMED): even after the F2 shadow-width fix, Apply's
per-lane loop still called Lane() once per lane index, each call re-deriving
its own lateral s(li) = Lateral + (li - n) * laneSpacing by forward float
addition, then testing that value against a cell's Extent interval
independently of every other lane. Two lane lines are only exactly
laneSpacing apart in real arithmetic; accumulating the offset by repeated
addition can shift a side lane by an ulp or two, letting it land inside a
neighbouring cell's half-open interval that its own unrounded value would
never reach -- the same "two derivations of one quantity" defect Cut 12.2's
own fix batch already removed from Lane itself, recurring one layer up in
Apply.
FireControl.Apply now calls a new Lanes() that decides each candidate cell's
lane index with one computation: k = ceil((cell.Lo - centreLateral) /
laneSpacing) is the unique integer for which centreLateral + k * laneSpacing
falls in the cell's own [Lo, Hi) -- derived once, from values no other lane's
arithmetic has touched. A single Ceiling call returns exactly one integer, so
a cell can be assigned to at most one lane by construction, not by float
luck. When k == 0 this is the same condition Lane() tests for centreLateral
itself, so the centre lane's cell set is unchanged (the 12.2 placement
contract, HitsLandOnTheFacingEdge, still holds). laneSpacing is still used,
unchanged, to place each admitted lane's own line for AlongBearing's slab
solve -- geometry, not membership.
Lane() itself is untouched (still used directly by Commit and by
FireControlCut12Tests' edge-seed tests).
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>