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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>
27 lines
997 B
Markdown
27 lines
997 B
Markdown
---
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id: noise-unit
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name: Noise.unit
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category: noise
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kind: namespace-method
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tokens: Noise.unit
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sig: Noise.unit(n) -> fixed
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tip: Remap a [-1,1] noise sample to [0,1].
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order: 7
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ns: Noise
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member: unit
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---
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Remaps a noise sample from <code>[-1, 1]</code> to <code>[0, 1]</code> — literally <code>n / 2 + 0.5</code> — returning a <a href="type-fixed"><code>fixed</code></a>. The signed range is the natural output of the samplers, but heights, densities, probabilities, and colour ramps usually want the unsigned <code>[0, 1]</code> range; <code>unit</code> is the one-step conversion. It is a plain affine remap, so <code>unit(-1) == 0</code>, <code>unit(0) == 0.5</code>, and <code>unit(1) == 1</code>.
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Parameters:
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- `n` — a sample in `[-1, 1]` (e.g. from `perlin2`/`simplex2`/`fbm2`)
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```ludic
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program Unit {
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entry {
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let n = Noise.simplex2(fixed(1) / fixed(2), fixed(1) / fixed(2), 1337)
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let height = Math.floor(Noise.unit(n) * fixed(64)) # 0..64 tiles
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print(height)
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}
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}
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```
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