snoise tie docs: the old rule's jump reaches 1.56 away from the origin, not 0.77
Soul s1 (cut-snoise-tie) measured 1.55 to 1.56 at magnitudes 64 and above; 0.77 holds only near the origin. Comment and design text only. Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
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2 changed files with 4 additions and 3 deletions
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@ -360,8 +360,8 @@ together, laid out as `float4(gradient.xyz, value.w)`, with no value-only twin
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`simplexnoise1234` order (x over y, y over z, x over z), a total order, so the
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four corners are always a simplex. Upstream's `step` compares are cyclic: where
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the three components are equal, which includes the origin and every
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`(t, t, t)`, the corners repeat the origin vertex and the value jumps by up to
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0.77. `NoiseGradTests.SnoiseIsContinuousOnTheSimplexDiagonal` pins the order.
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`(t, t, t)`, the corners repeat the origin vertex and the value jumps by about
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0.77 near the origin and up to 1.56 at magnitudes of 64 and above. `NoiseGradTests.SnoiseIsContinuousOnTheSimplexDiagonal` pins the order.
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- `snoise_grad(float3 p)` carries `snoise(float3)` to value-and-gradient form,
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following the differentiation in webgl-noise `src/noise3Dgrad.glsl` (Ashima
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Arts / Ian McEwan, MIT), which uses the same radius, permutation and scale as
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@ -192,7 +192,8 @@ public sealed class NoiseGradTests
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// The simplex diagonals are where x0's three components compare equal. The tie rule must be a total
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// order there (math.snoise): with a cyclic or all-strict compare the four corners stop being a
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// simplex and the value jumps by up to 0.77 on the line (t, t, t), lattice diagonals included.
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// simplex and the value jumps on the line (t, t, t), lattice diagonals included: about 0.77 near the
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// origin, up to 1.56 at magnitudes of 64 and above.
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[Fact]
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public void SnoiseIsContinuousOnTheSimplexDiagonal()
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{
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