cultmath-unity [Unreleased] and cultlib [Unreleased] carry the Breaking entries; no version bump, no tag.
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
CULTMATH_MAX_SITES defaults to 128 under #ifndef. The consumer-written ring-loop and border-loop comment recipes are deleted. The C# mirror takes the array as T[]; the span twins live in SiteArrays; the GLSL lowering keeps the capacity macro; gen.py learns the array leaf; the smooth-step family gains its cap-point draw; CULTMATH_WRITE_GLSL refuses non-Linux.
Co-Authored-By: Claude Sonnet 5.5 <noreply@anthropic.com>
Per verdict s1: the judge keeps the fixture tolerance as correctness and adds a recorded sha256 of each family's
result per route (a change in the computation fails until re-recorded); a test refuses mediump/lowp/precision
other than highp and min16float/min10float/min16int/half in the committed shaders; phacelle's tolerance text states
a device clause (2^-18) that the judge parses and enforces. The committed bounds file lacks the new column until
the next WRITE_BOUNDS=1 job, so this commit's device run fails and it does not pass DeviceResultsHoldFixture.
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
Shader overloads stay native (ruling shader-overloads-stay-native): cultmath_segment_closest and
cultmath_distance_to_segment have float2 and float3 forms again, with mirror asserts and fixture families.
The rejected "avoid overloads" comment and design text are gone. The border step's outside-cell behaviour
(distance 0 with that plane's normal) is documented in C# and the HLSL header and pinned by a test; the mirror
and fixture gain distinct sites closer than 1e-2. GLSL and fixture regenerate in the next commit; this one does
not pass CommittedGlslEqualsLowering.
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
power_border_step/power_border give the exact distance to the owner's power cell boundary: the least radical-plane
distance over every other site, built from the offset and (w1-w2)(w1+w2) so it does not cancel. site_cells_border is
documented as the two-winner bisector distance. Cell spans refuse non-finite positions, queries and spans over 2^24.
segment_closest is public in C#; the HLSL segment functions are 3D only (no new overload sets). Tests added.
Does not build the GLSL checks: CultMath.glsl and glsl-parity.json are regenerated in the next commit.
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
Four coordinate-band snoise_grad / snoise_hessian families with Verify AssertSpanAllowance,
SpanAllowanceCoversReadsAlongTheSpan, NoiseBoundTests.GradDouble and its pin, design.md
paragraph. The fixture and CultMath.glsl are regenerated in the next commit; this one compiles.
Co-Authored-By: Claude Sonnet 5.5 <noreply@anthropic.com>
dxc runs with -WX; a ShaderPath that is not a file throws naming the parameter and entry index,
never the path; the GLSL wrapper builds a struct parameter from its declaration's field zeros.
design.md and README state the struct-argument twin rule, the span twins and the missing shader identity.
No C# change; the compiles run on Starfire after the last commit.
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
The b == 0 branch now guards t1 != t0 like the sloped branch (C# and both HLSL
copies), so an infinite bound times a zero length no longer forms NaN.
Edge-grid mirror test and a counting-clamp shadow test replace the text-order
check; the four pin tests assert equality with their measured expression;
tools/compile-hlsl.ps1 is the one dxc compile verdict for the HLSL copies.
Builds. CultMath.glsl and glsl-parity.json are not yet regenerated, so
CommittedGlslEqualsLowering and GoldenFixtureMatchesCSharp are red at this
commit; the next commit regenerates them.
Co-Authored-By: Claude Sonnet 5.5 <noreply@anthropic.com>
Two samples of the probe: the cut's own (seed not recorded) and an audit's (seed 0x501) give 0.057/0.046/0.075 and 0.064/0.0485/0.057 of e_n/e_g/e_h; a new seed moves them. Comment only in math.Span.cs: builds.
Co-Authored-By: Claude Sonnet 5.5 <noreply@anthropic.com>
span_fbm/span_ridged/span_stage lose the 14-argument signatures for SpanPath, SpanStage,
octaves, lacunarity, gain. Per octave S_o and e_n, e_g, e_h (af_snoise's derivation plus the
Hessian's 2^-10) widen the local Hessian tier, the gradient bound and the fold travel. Tests
compare against the exact double kernel in coordinate bands, add the pinned rank-one span,
widen the stage parameter ranges, and state the lab-form mapping. Not built or run yet.
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
The octave stages of a warp chain over a span, in C#: stretched, shifted, offset octave sums whose
field equals fbm_grad and ridged_grad bit for bit at the identity transform and whose curvature
and fold bounds derive from SNOISE_LIPSCHITZ, SNOISE_HESSIAN and SNOISE_THIRD only (local tier from
the midpoint Hessian's Frobenius norm plus the third-derivative term, capped by the global pin).
SpanStageTests encloses the Hessian norm and the branch departure over seeded spans in both regimes
and checks the gradient against differences and the stretch/axis conventions. README and design.md
state the span, the transform and the bound rules. No shader twin: stage-shaders is part 2.
Co-Authored-By: Claude Sonnet 5.5 <noreply@anthropic.com>
ThirdTensor is now snoise_hessian's per-corner derivation differentiated once more, in double, on the
kernel's lattice, tie order and hash; central differences of the float Hessian are gone from the
measurement and survive only as the oracle in ThirdTensorMatchesDifferencesOfTheHessian (Richardson
extrapolated differences of the double Hessian). MeasureThird on the closed form: refined 487.0917,
x 1.10 = 535.8009 (the differenced tensor read 488.1047, its roundoff). SNOISE_THIRD, ThirdWitness,
CULTMATH_SNOISE_THIRD (both HLSL copies), the generated GLSL constant and the design.md provenance
paragraph follow.
Co-Authored-By: Claude Sonnet 5.5 <noreply@anthropic.com>
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>
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>
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>
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>
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>
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 GLSL is generated from the HLSL by one lowering, mirrored against C# by a
committed fixture evaluated on its own arguments (portable across OSes), with
the frustum ball checked by two-sided enclosure and Phacelle by a scaled
absolute bound. design.md conflict: keeps the branch's sqrt-precision text and
drops the 6e-4 sentence interval-ops r4 removed.
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
gpu-snoise-parity is Asura's FXC and Unity readback of snoise, not a GLSL run; phacelle's GLSL
evaluator is the cultmath-tapes follow-up glsl-browser-parity-run.
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
The parity section states the enclosure rule, restores that the evaluator concatenates
CultMath.Phacelle.glsl for the phacelle family, and names CultLib's browser-pane run
(follow-up gpu-snoise-parity) as that evaluator. The frustum-ball bound no longer assumes
a correctly rounded GLSL sqrt: proven for C# and HLSL, measured on GLSL.
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
Every figure is from r4's IV-REPORT lines: (a)-(d) with (c)'s oracle ceiling,
efficiency, cull fraction and probe overhead; (e) at the shipped void with the
two depth errors against the converged march; the analytic body and its pin;
the [w(z1), 1] weight-bound deviation; the contracts as asserted, (c) in the
words of ruling wells-overhead-plus-floor.
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
README conflict resolved by keeping r3's Intervals bullet, then the GLSL
bullet. design.md and HlslSourceCompatibilityTests.cs merged clean.
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
The radius gains (|c|_1 + radius) 2^-20 in C# and both HLSL copies; the
doc's strictness claim leaves. TileBallEnclosesEveryRaySegment measures in
double over the r2 domain and seven extreme families with outward corner
flows, pins the radius two-sided, and counts misses per family. The noise
ball enclosure tests draw radii to 1e3.
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
design.md "Intervals" gains the frustum-ball paragraph and the envelope-then-noise
paragraph: how a consumer composes the bound, the short-circuit, and that the warp
lives on the noise only. r1's slab saving paragraph is replaced by r2's printed
numbers per scenario. README names iv_frustum_ball and the envelope composition.
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
design.md gains "GLSL Target: Source Transformations" (the list, the common-subset rule, the
regeneration command, the derived-file rule, the two parity legs). README says how a WebGL
consumer includes CultMath.glsl. THIRD-PARTY-NOTICES lists CultMath.glsl as MPL-2.0, because
it inlines the Phacelle include.
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
Representation, the op list, the one-ulp widening rule and its two cases, the Lipschitz
provenance and pin, what the ball bounds guarantee and what they do not, tightness, the
saving and its open fork, and the consumers. Every number is one a committed test prints.
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
MPL-2.0 is file-level and the Phacelle port sat inside MIT files. phacelle and
CultPhasor now live in math.Phacelle.cs and CultPhasor.cs, and cultmath_phacelle
in CultMath.Phacelle.hlsl (included by CultMath.hlsl, both tracked copies), each
with the MPL header and Johansen / Luke Mitchell attribution. math stays one
partial class, so math.phacelle is called exactly as before. The GameCult.Math
package declares MIT AND MPL-2.0 and packs THIRD-PARTY-NOTICES.md and the new
include; the Unity LICENSE.md points at CultLib; build-unity-package.ps1
requires the new include.
The random sweeps never met a cell whose box bound sits just under the 2.25 cut
while its weight is still nonzero, so cuts of 2.245, 2.24 and 2.2 survived.
Six hard-coded points (found by an offline search) sit next to such cells; the
C# pruned-vs-unpruned test and the HLSL mirror test both use them, with a
witness check that re-derives the property from the hash.
Docs: the prune keeps about 45 of 64 cells (14 is the nonzero-weight count),
the support radius is 1.49998 (d^2 = 2.24995), normalization's range and
saturation, W = 0 only for adversarial hashes, and the support-edge gradient
seam size.
Co-Authored-By: Claude Sonnet 5.5 <noreply@anthropic.com>
design.md names CultPhasor as the second struct-return consumer and describes
phacelle (stripe wave vector, weight, normalization, exact gradient and its two
discontinuity classes, exact pruning). THIRD-PARTY-NOTICES.md, in both the package
root and the Unity package, cites Rune Skovbo Johansen's Phacelle Noise (MPL-2.0)
and records that the 3D-cell generalisation, the caller-supplied side vector, the
exact gradient and the exact pruning are new.
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
