The Breaking entry now names the whole tie set (inputs whose y-x and z-x are
whole numbers, every integer point included, change by up to 0.776), with
examples and a consumer warning; design.md and the NoiseGradTests comment drop
the narrower origin-and-(t,t,t) wording. Docs and test comment only; builds.
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
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>
The cyclic non-strict step(x0.yzx, x0.xyz) made the four corners a non-simplex
where x0's components are equal: the origin and every (t, t, t) read a different
function (snoise(0) was -0.4358730, jumps up to 0.77). One strict compare, z
against x, gives simplexnoise1234's order. Off the tie set old and new return
the same bits.
NoiseGradTests.SnoiseIsContinuousOnTheSimplexDiagonal fails against the old
rule (0.054 within 1 ulp of (-53.6, -53.6, -53.6)). The origin golden is 0 and a
(1.25, 1.25, 1.25) diagonal row joins it. SNOISE_LIPSCHITZ and the GLSL follow
in the next commits, so the ratio pin and CommittedGlslEqualsLowering are red here.
Co-Authored-By: Claude Sonnet 5.5 <noreply@anthropic.com>
Drops the unreproducible floors and detection-scale claims, and the seam-fluke
consistency filter (the spikes it hid were the snoise seam, now fixed and pinned by the
continuity probe). Tightens the tolerances to at least 5x the harness maximum (ridged
0.5 -> 0.05), corrects the point count in the bit-equality test, and caps the ridged
compounding loop so a mutant fails loudly instead of hanging.
Co-Authored-By: Claude Sonnet 5 <noreply@anthropic.com>
snoise_grad.w is bit-equal to snoise (stronger than the spec's 1e-6
floor, measured over 20,000 points). fbm_grad/ridged_grad with 1/3
octaves are pinned bit-exact against a closed form built with the same
incremental gain/lacunarity multiply chain the production loop uses,
catching both a swapped-argument mutant and an applied-once mutant.
The shared invariant-8 property harness central-differences all three
functions' own .w, filtering simplex-lattice seam flukes by comparing
the estimate at two step sizes (measured tolerances and detection
floor in the harness comment). A dedicated fixture bisects to a snoise
zero crossing and pins that ridged_grad's two one-sided gradients there
have opposite sign.
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
