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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>
1.3 KiB
1.3 KiB
| id | name | category | kind | tokens | sig | tip | order | ns | member |
|---|---|---|---|---|---|---|---|---|---|
| noise-fbm2 | Noise.fbm2 | noise | namespace-method | Noise.fbm2 | Noise.fbm2(x, y, seed, octaves) -> fixed | Fractal Brownian motion — octaves of simplex, in [-1, 1]. | 4 | Noise | fbm2 |
Samples fractal Brownian motion at (x, y): it stacks octaves layers of simplex2, each at double the frequency and half the amplitude of the last, and normalises by the total amplitude so the result stays a fixed in [-1, 1]. Layering this way adds fine detail on top of broad shapes — the standard recipe for natural-looking terrain, clouds, and marble. More octaves means more detail (and more cost); 4–6 is typical.
Each octave uses a different derived seed, and the whole thing is deterministic in fixed point across platforms and runs.
Parameters:
x,y— the sample coordinates (fixed)seed— the base field selector (each octave derives from it)octaves— how many layers to sum (higher = more detail)
program Fbm {
entry {
let seed = 1337
let h = Noise.fbm2(fixed(2) / fixed(7), fixed(9) / fixed(7), seed, 5)
print(Math.floor(Noise.unit(h) * fixed(100))) # detailed 0..100 height
}
}