Written by CULTMATH_WRITE_GLSL=1 on Yggdrasil (sdk:10.0) at d605c70b; sha256 21eef3c38cc609909444c906a1ef965f01b541f2301023a722e64ecc4c846387. glsl-parity.json and device-bounds-lavapipe.txt are untouched by the regeneration.
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
SPIRV-Cross renames members matching GLSL builtins, so the source names change. Resolver and JSON writer accessors follow the members; the wire (positional MessagePack, JSON keys) is untouched in this commit. The committed GLSL is stale until its regeneration commit, so CommittedGlslEqualsLowering fails here.
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>
Only the trophic families after the inserted segment families change; every family before them is identical.
Builds; the parent commit does not pass CommittedGlslEqualsLowering.
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>
Regenerated with CULTMATH_WRITE_GLSL=1 on Yggdrasil; the fixture adds seven families and deletes no line.
Co-Authored-By: Claude Sonnet 5.5 <noreply@anthropic.com>
CommittedGlslEqualsLowering fails at this commit until the GLSL is regenerated in the next one.
Co-Authored-By: Claude Sonnet 5.5 <noreply@anthropic.com>
Generated by CULTMATH_WRITE_GLSL=1 on Yggdrasil; glsl-parity.json is unchanged (the af and
span families keep their bytes). Builds.
Co-Authored-By: Claude Sonnet 5.5 <noreply@anthropic.com>
span_slack and af_snoise each spelled 2^-14 (value) and 2^-12 (gradient) inline, in C# and
HLSL. Both now read the constants beside SNOISE_HESSIAN (math.Affine.cs, CultMath.Affine.hlsl,
Unity copies), so a device-judged widening moves every reader. Bits unchanged. The test
oracles in AffineTests and GlslMirrorTests read the constants; a new test pins af_snoise's
allowance to span_slack's terms. span_slack's comment no longer claims it is the only
allowance. Does not build green yet: CultMath.glsl is not regenerated in this commit.
Co-Authored-By: Claude Sonnet 5.5 <noreply@anthropic.com>
Generated by CULTMATH_WRITE_GLSL=1 on Yggdrasil (dotnet/sdk:10.0) at 5ccbb094; the fixture
diff is additions only, every earlier family byte-identical. Builds.
Co-Authored-By: Claude Sonnet 5.5 <noreply@anthropic.com>
The inline rounding and the three allowance literals of span_stage and cultmath_span_stage
move into internal span_rounding / span_slack and their HLSL twins; operations and order are
unchanged. CultMath.glsl is not regenerated in this commit, so
GlslMirrorTests.CommittedGlslEqualsLowering fails here; it compiles.
Co-Authored-By: Claude Sonnet 5.5 <noreply@anthropic.com>
CultMath.glsl gains the three structs and cultmath_span_stage/fbm/ridged by the lowering; the fixture
gains the two span families after the last one, earlier families byte-identical (0 deleted lines).
Builds; CultMath.Tests 452 passed at this tree.
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
cultmath_span_stage, cultmath_span_fbm and cultmath_span_ridged with SpanPath, SpanStage and
SpanNoise, statement for statement from math.span_stage (no shader identity). They follow the
includes, not cultmath_ridged_grad: the bounds read the SNOISE_* constants the includes define.
The mirror comparison matches every mirror function to the math function of the same name,
public or private, with struct parameters mapped by name and fields; MirrorOnly is gone.
New tests: identity and realistic-span mirror sweeps, a large-octave-step fold test; the
near-origin fold test gains scales 1e-4 and 1e-2; the integral_clamp_linear tests also read the
committed fixture's cases.
The GLSL, the fixture families and the docs follow: CommittedGlslEqualsLowering and
GoldenFixtureMatchesCSharp are red at this commit. It builds.
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
glsl: line 307 only (the flat-branch guard). Fixture: one family appended
('zero-length spans and flat infinite clamps'), earlier families byte-identical.
Builds. Together with the previous commit the lowering and fixture tests pass.
Co-Authored-By: Claude Sonnet 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>
lo = min(lo, hi) now precedes the b == 0 branch in C# and HLSL (Unity copy byte-identical, GLSL
regenerated), so no clamp ever sees lo above hi; GLSL leaves that undefined. The b == 0 path used to
call clamp(a, lo, hi) with the raw bounds. New tests: the flat and sloped lo > hi values, the
statement-order check on the committed HLSL and GLSL, and an appended glsl-parity.json family of lo > hi
and infinite-bound edge cases (every earlier case byte-identical).
Co-Authored-By: Claude Sonnet 5.5 <noreply@anthropic.com>
Each held stretch contributes only when its length is positive, so an infinite bound times a zero
length never forms: relu (hi = +inf) and its mirrors give the finite integral instead of NaN, in C#,
HLSL (Unity copy byte-identical) and the generated GLSL. Finite cases are unchanged.
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>
CultMath.glsl is GlslLowering's output (CULTMATH_WRITE_GLSL=1, run on Yggdrasil); the fixture keeps every
earlier case byte for byte (the platform-bound families stay as generated on Windows) and appends the three
new families, which depend on no libm.
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
MeasureThird on the tied kernel: refined 488.1047, x 1.10 = 536.9152, witness (-168.3755, -3.8205261,
-109.16948). MeasureHessian with the analytic Hessian: refined 50.58377, x 1.10 = 55.642143, witness
(-13.7920685, -9.672134, 61.563934); the central-difference value 56.050385 carried the quotient's
roundoff. README bullet for the span primitives. CultMath.glsl and the fixture are not yet regenerated.
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
math.Span.cs adds the analytic Hessian of snoise(float3) on snoise_grad's tied kernel and the closed-form
integral of a clamped linear ramp; HLSL twins and the Unity copies follow, HessianNorm now reads the
library Hessian, the GLSL lowering gains float3x3 to mat3, and MeasureThird/ThirdConstantPinsSampled and
SpanPrimitiveTests land. SNOISE_THIRD is a placeholder (1) until MeasureThird runs; CultMath.glsl and the
fixture are not yet regenerated. Does not pass its tests.
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
infinite.json holds 47 cases of infinite operands for cycles_power, cycles_modulo and Map Range Smooth Step, made inside Blender's kernel; only that family was regenerated. CultMath.Cycles.glsl changed by the generator alone (CULTMATH_WRITE_GLSL=1); glsl-parity.json and CultMath.glsl are byte-identical. This commit builds and its tests are expected green.
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
cycles_power read b - 2 floor(0.5 b) != 0 as odd, which is NaN for b = +-inf, so a negative base got a negative result where Cycles' powf(a, +-inf) is never negative. Odd now means the remainder is exactly 1 (C#, HLSL, Unity copy). oracle.py gains the infinite family (operands made in-kernel as +-exp(100), results read through comparisons with 0) for power, modulo and Map Range Smooth Step; the infinite.json fixture and the regenerated GLSL follow in the next commit. This commit builds; InfiniteOperandsFollowBlender and CommittedGlslEqualsLowering fail until it lands.
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
Fixtures are the oracle's output (SSE4.2 kernel, Blender 5.2.2 Linux), two runs cmp-identical; CultMath.glsl line 1 (the
Cycles function list in the generated header) carries the three new names.
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
Fixtures and the regenerated GLSL follow in the next commit, so the tests that read the new rows
(InverseTrigonometry..., OperandStreams...) are red at this commit.
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
The oracle showed Cycles treats a huge exponent as integral for a negative base, so the speculative
b >= 2^31 rule is gone. CultMath.Cycles.glsl is stale at this commit (the HLSL changed), so
CommittedGlslEqualsLowering fails here; the regenerated file follows. Builds.
Co-Authored-By: Claude Sonnet 5.5 <noreply@anthropic.com>
Written by tools/cycles-oracle/oracle.py and GlslLowering on Yggdrasil; the tool's second run was
byte-identical. CultMath.Tests passes 379 of 379 at this commit's tree. Builds.
Co-Authored-By: Claude Sonnet 5.5 <noreply@anthropic.com>
The oracle's first fixtures showed Cycles' AVX2 kernel fuses multiply-adds and its film zeroes
non-finite results; the tool now exits 4 off the SSE4.2 kernel (CYCLES_CPU_NO_AVX2=1) and the
test skips cases Cycles cannot report. The Unity copy of CultMath.hlsl carries the new include.
Builds. Fixtures and CultMath.Cycles.glsl are still to come.
Co-Authored-By: Claude Sonnet 5.5 <noreply@anthropic.com>
Builds. The oracle fixtures and CultMath.Cycles.glsl are still to come, so the oracle and golden tests fail here.
Co-Authored-By: Claude Sonnet 5.5 <noreply@anthropic.com>
Ports of Blender v5.2.2's intern/cycles kernel functions, one function per node
operation, with the HLSL mirror, the Unity copy, the lowering table entry for a
separate Apache-2.0 GLSL file, the golden-fixture families, the package licence
expressions and the notices section.
Builds. Does not pass yet: CultMath.Cycles.glsl and the regenerated golden
fixture arrive in a later commit, so CommittedGlslEqualsLowering and
GoldenFixtureMatchesCSharp fail at this commit.
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>
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>
GlslLowering.SeparateFiles is the one name-keyed rule: CultMath.Phacelle.hlsl
lowers into shaders/CultMath.Phacelle.glsl (MPL-2.0, guard
CULTMATH_PHACELLE_GLSL) and its include line leaves CultMath.glsl, which is
now MIT and says so in its provenance line. ReadShaderSource takes an
include predicate (one resolver); the C# mirror still inlines everything.
GlslMirrorTests pins both files, checks tokens in each, takes the union of
definitions and asserts cultmath_phacelle( and CultPhasor live only in the
Phacelle file. The fixture appends cultmath_iv_frustum_ball (exact) and
cultmath_iv_exp ("ulp-bounded, platform exp", platform named); the
comparison is per family, the platform family within 1 ulp with the
maximum printed. THIRD-PARTY-NOTICES lists CultMath.Phacelle.glsl, not
CultMath.glsl, as MPL-2.0.
Regenerated on Yggdrasil (Ubuntu 24.04.5, .NET 10.0.12); 286/286 green,
iv_exp within 0 ulp.
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
Regeneration alone (CULTMATH_WRITE_GLSL=1) on Yggdrasil at 8be32a2e: the
lowering of r3's widened iv_frustum_ball, 15 lines. The fixture does not
change. Full suite 286/286 green.
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>
