Layout reaches one place by more than one route -- a box composed down the
chain, and the same box summed from what its children asked for -- and the
two land a few bits apart in floats. Where that decides something structural
rather than something positional, a warm tree disagrees with a cold one:
`5ed9e87` is the instance, and its margin is a patch over the representation
rather than a fix to it.
`Fixed<SHIFT>` is a count of `1 / 2^SHIFT`s in an `i32`. Adding and
subtracting are exact, a multiply rounds once back onto the same steps, and
two routes that come within half a step land on the same number -- so the
comparisons downstream can ask for equality rather than for nearness.
`Px = Fixed<6>` and `Rel = Fixed<24>`: a sixty-fourth of a pixel is finer
than a display and still exact in `f32` up to 262,144 px, and twenty-four
bits of fraction matches `f32` at a half, beats it above one where anchors
sit, and leaves +/-128 of range to sum relative children in.
Nothing uses it yet. The arithmetic saturates rather than wrapping, because
a clamped coordinate keeps the ordering a wrapped one inverts, and the ends
are what an unbounded interval will be written with.
Checked: fmt, clippy, 99 tests including ten for this type -- the round trip
through `f32`, halves rounding away from zero either side, saturation at both
ends, and 20,000 additions landing exactly where the count says.
Co-Authored-By: Claude Opus 5 <noreply@anthropic.com>