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A Noise.* namespace for procedural generation, implemented entirely in Q16.16 fixed point over an integer permutation hash so a seed reproduces the exact same field on every platform and run (native/headless/wasm) — the determinism edge over float noise that drifts across CPUs. - value2 / perlin2 / simplex2 — value, gradient, and simplex noise -> [-1,1] - fbm2(x,y,seed,octaves) — fractal Brownian motion (octaves of simplex) - cellular2 / cellular2_id — Worley F1 distance + nearest-cell id - unit(n) — remap [-1,1] -> [0,1] Covers issue phases 1–2 fully plus cellular from phase 3; domain warp, ridged/ billow, and sample1/sample3 remain as follow-ups. Pure integer IR, C-free; cellular/fbm reuse the math prelude's fx_sqrt. - examples/library/noise.ludic: asserts the invariants a fixed-point generator must hold (Perlin == 0 at lattice points, every sampler within [-1,1], reproducibility, seed sensitivity, non-negative cellular distance). Wired into `x test` (now 52 passed). - docs: a new Noise section + per-symbol pages; inventory and coverage pass. - seed regenerated; `x bootstrap-cfree` fixpoint holds. Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>
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| id | name | category | kind | tokens | sig | tip | order | ns | member |
|---|---|---|---|---|---|---|---|---|---|
| noise-cellular2_id | Noise.cellular2_id | noise | namespace-method | Noise.cellular2_id | Noise.cellular2_id(x, y, seed) -> int | The id of the nearest Worley cell — stable per cell. | 6 | Noise | cellular2_id |
Returns the integer id of the nearest cell in the same Worley diagram that Noise.cellular2 measures distance in — a stable hash that is identical for every sample point inside a given cell. Use it to assign something discrete per region: the biome or material of a cell, the variant of a scattered prop, a per-region colour. Combine it with the F1 distance to shade toward cell edges.
The id is a hash, so treat it as an opaque label (mod it into your table of choices); it is deterministic across platforms and runs.
Parameters:
x,y— the sample coordinates (fixed)seed— the field selector (must match thecellular2call it pairs with)
program CellId {
entry {
let seed = 7
let id = Noise.cellular2_id(fixed(5) / fixed(4), fixed(3) / fixed(4), seed)
let biome = Math.posmod(id, 4) # one of 4 biomes for this cell
print(biome)
}
}