Records status, iteration count and every float bit of x for the A54/B5 fixture,
three seeded random problems and a Duel allocator problem, taken at f7ab6212.
The kktRelativeTolerance cut must keep these literals unchanged.
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
Reduced affine arithmetic (centre, one shared symbol, one error term) for CultMath:
af_* ops, af_snoise / af_fbm with gradient-plus-curvature forms, af_frustum_*, the
2D iv_snoise_ball, and the centred warp bound. Mirrored bit for bit in
CultMath.Affine.hlsl (and the Unity copy), lowered into CultMath.glsl, with fixture
families that check enclosure on device, including small-reach and C#-centre legs.
Scenario (c) is a deep well an order of magnitude past the fog band; affine beats the
centred interval there (3.57x / 3.46x vs 3.20x / 3.12x), asserted, not skipped.
Soul held cut-affine-forms (s1-s3) and cut-affine-shaders (s1-s3).
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
Re-measured at c01ff025 with IntervalSkipHalvesEvaluations: (c) affine 3.57x and 3.46x, c-band 3.95x
and 3.54x, efficiencies and range-ceiling ratios as printed; the (b) rows and the DeepWellCullMap
figures (4.23, 3.60, 2.02) are unchanged. The sentence that justified deleting the affine detail
ball is gone with the deletion.
Co-Authored-By: Claude Sonnet 5.5 <noreply@anthropic.com>
Deleting the affine gate's detail ball (51a4034c) gave up 6 of 5933 provable culls inside the fog
(first: (b) inside the fog [affine]); the gate never gives up a provable cull, and a 1.4% probe
saving does not buy breaking that. The detail ball is back in the affine gate, and the gate test
now includes the fog interior, the only field where the interval gate's detail ball decides, so
saturating either gate's detail ball fails the test.
Co-Authored-By: Claude Sonnet 5.5 <noreply@anthropic.com>
Cells per ray 4.23 interval, 3.60 affine, 2.02 oracle, the most 44, mean transmittance 0.278,
measured at the affine gate fix; the interval figure (4.51, 45) was already stale: the interval
path is unchanged by that fix.
Co-Authored-By: Claude Sonnet 5.5 <noreply@anthropic.com>
Two families are appended (256 cases each, reach |axis| + radius of 1e-6 to 1e-3, the centre in
[-50, 50] or [-1, 1]); the earlier families are byte-identical. In the main families the
second-order remainder is at least 0.057 of e even without the allowance; here the float32
allowance is most of e, so a device whose gradient error exceeds it fails the enclosure check.
Their check text adds the centre leg for every af_snoise and af_fbm family: the fixture's own
x0 (C#'s value at the centre) must lie in the device form's [x0 - e, x0 + e], so a device whose
noise is wrong everywhere no longer passes against its own reference.
AssertSampledForm counts the cases that need the allowance (32 of 256 af_snoise, 3 of 256
af_fbm on C#'s own results) and the small families fail unless there is at least one.
Co-Authored-By: Claude Sonnet 5.5 <noreply@anthropic.com>
EveryMirrorFunctionMatchesCSharpMath draws centre, axis and radius from [-100, 100], far past the
0.15 or so below which the centred form wins, so an HLSL edit of the choice survived it.
AffineSnoiseMirrorMatchesCSharpBitForBitOnBothSidesOfItsBranch draws 20000 slices (axis and
radius log-uniform 1e-3 to 0.5), asserts both branches are met more than 2000 times each, and
compares af_snoise (and af_fbm every eighth) bit for bit.
Co-Authored-By: Claude Sonnet 5.5 <noreply@anthropic.com>
dxc marks compares fast, so `lo == lo ? lo : -inf` was deleted under default flags and an
overflowed form ranged to NaN on HLSL targets. The guard now tests (asuint(lo) & 0x7fffffff)
> 0x7f800000, in HLSL, the Unity copy, math.Affine.cs and the regenerated CultMath.glsl.
dxc 1.9.0.5402 -T ps_6_0 default flags: before, no fcmp/select/and in the af_range body;
after, and/icmp ugt/select to +-inf for both endpoints (also under -Gis).
AffineRangeMirrorMatchesCSharpBitForBitAtTheFloatExtremes pins the mirror at zero to the
float maximum, infinities and NaN components.
Co-Authored-By: Claude Sonnet 5.5 <noreply@anthropic.com>
The affine gate's best-case detail ball decided no probe on the gate test's slices and one
of the deep well's 8074 oracle-empty cells (11 of 11096 in c-band); skipping it saves the
probes: (c) affine 3.57x -> 3.62x and 3.46x -> 3.54x, c-band 3.95x -> 3.96x and 3.54x -> 3.60x.
The interval gate keeps its detail ball. Saturating it there (measured, then reverted)
takes row (b), inside the fog, from a cull fraction of 0.663 to 0.585 and a cost ratio
of 1.16x to 0.98x, so the term is live; the finding's premise holds for the affine gate only.
Co-Authored-By: Claude Sonnet 5.5 <noreply@anthropic.com>
Slice builds each phase's coverage argument and the detail argument (centre,
axis, radius in noise space); AffineBound and its gate read them whole.
AffineWarpStaysEnclosed checks the rays against those arguments and their
derivation from CentredWarp; AffineCompositionIsTighterThanItsRanges sees the
shared-eps composition and the intersection.
Co-Authored-By: Claude Sonnet 5.5 <noreply@anthropic.com>
The 2D ball carries no evaluation allowance, like iv_snoise_ball(float3); the
caller that rounds the flow's point adds 2^-14 + L2 2^-20 (|centre|_1 + radius),
the convention af_snoise carries for the 3D point.
Co-Authored-By: Claude Sonnet 5.5 <noreply@anthropic.com>
Upstream Ashima's step compares are cyclic, so where x0's components compare equal
(the origin, every (t,t,t), all lattice diagonals) the corners stop being a simplex
and snoise jumps (about 0.77 near the origin, up to 1.56 further out). The z-x compare
is now strict, giving Gustavson's simplexnoise1234 order in C#, both HLSL copies and
the generated GLSL. Off the z=x tie set values are bit-identical. SNOISE_LIPSCHITZ
re-pinned 10.099261 -> 7.9640074. A value change: next cultmath-unity release is
Breaking (follow-up snoise-tie-release). Soul s1 held (cut-snoise-tie.h2).
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>
Two families appended after phacelle, cultmath_snoise(vec3) and
cultmath_snoise_grad(vec3) over TiePoint3 (seven of eight cases on lattice
diagonals, one of eight on (t, t, t)); the shared Random leaves every earlier
family's draws unchanged. Both carry the tolerance text "ulp-bounded, on the
simplex tie set" and share a glsl name with the random families, so a consumer
tells them apart by index or tolerance.
Regenerated on Yggdrasil (Linux, the fixture's platform) with
CULTMATH_WRITE_GLSL=1. CultMath.glsl: the two tie lines, the constant, one
comment sentence. Fixture: 41 cases of iv_snoise_ball(vec3) and iv_fbm_ball move
with L, everything else is byte-identical before the appended families. Full
suite on Yggdrasil: 290 of 290.
Co-Authored-By: Claude Sonnet 5.5 <noreply@anthropic.com>
MeasureLipschitz on e89fd687 (Yggdrasil): sampled 7.1933103, refined 7.2400064,
x 1.10 = 7.9640074, witness (229.92526, 73.37927, -66.14595). The old 9.181147
sat on the diagonal tie. C#, both Interval.hlsl copies, the pin test's witness
and design.md's provenance numbers move together; CultMath.glsl follows with the
regenerated fixture.
Co-Authored-By: Claude Sonnet 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>
The cyclic step in Ashima's 3D simplex degenerates on the lattice diagonals,
including the origin and every (t,t,t). The fix is one strict compare, giving
simplexnoise1234's total tie order. Probes show it is bit-identical off the
z = x tie set and continuous on it. SNOISE_LIPSCHITZ re-measures to 7.9640074,
and SNOISE_HESSIAN does not move. Merge order: snoise-tie first, then the
affine branch merges main.
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
(c) is FogField.DeepWell (ruling wells-scale-order-of-magnitude), measured under
the centred-warp interval bound and the affine bound on the same seeds; the
shallow wells are the printed (c-band) row. The warp-enlarged ball and the
warp-carrying detail ball in FogField.Bound are gone. (c) asserts affine cheaper
than the centred interval at both warps, with the 0.5 cull floor under both
(ruling affine-wells-contract-cheaper-than-interval).
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
(c)'s wells are 1.1-2.5x the 60-unit noise band deep; a 10x well (depth and
half-depth radius 600) measured on the scratch probe: interval already skips
most empty space, affine gains 1.14x/1.16x over the centred interval. (c)
becomes the deep well; the mass-derived wells stay as a printed row.
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
npm Publish and Python build lines run the guard under env -u NODE_OPTIONS;
the shell/defaults ban is dropped (deliberate edits are review's job);
check-changelog-semver reads Keep a Changelog's dated heading; semver-policy.md
states the threat model and the first-release versions. Verdict
cut-release-guard-tidy.s1 holds with no findings.
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
