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CultLib/packages/cultmath/THIRD-PARTY-NOTICES.md
Meta Vens 559800f494 CultMath: Cycles node semantics (Math, Map Range, Clamp, Mix, RGB to BW, ramp index) as math.Cycles.cs and CultMath.Cycles.hlsl under Apache-2.0 
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>
2026-10-12 03:59:59 +02:00

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Third-Party Notices

2D and 3D Simplex Noise

math.snoise and cultmath_snoise port the textureless 2D and 3D simplex-noise functions by Ian McEwan and Ashima Arts, as distributed by Stefan Gustavson's webgl-noise project and Unity Mathematics.

math.snoise(float3) and cultmath_snoise(float3) follow src/noise3D.glsl and math.snoise(float2) follows src/noise2D.glsl of stegu/webgl-noise at commit 22434e04d7753f7e949e8d724ab3da2864c17a0f (the simplex-boundary fix is 21d9fe23d7, scale ff3b5d34ea, permutation a3e6d57095). Modified from upstream: the 3D corner tie order follows Gustavson's simplexnoise1234, because the upstream step compares are cyclic where the offset's components are equal.

math.snoise_grad/cultmath_snoise_grad (and the fbm_grad/ridged_grad octave sums built on them) follow the analytic-gradient differentiation from the same project's src/noise3Dgrad.glsl, with the same kernel radius, permutation and scale as snoise(float3).

Cycles node semantics

math.cycles_* and cultmath_cycles_* port what Blender's Cycles renderer computes for the Math, Map Range, Clamp, Mix and RGB to BW nodes and for a Color Ramp lookup. Each function's comment names the Cycles file it follows, all from intern/cycles at the Blender v5.2.2 tag: kernel/svm/math_util.h, kernel/svm/map_range.h, kernel/svm/clamp.h, kernel/svm/mix.h, kernel/svm/color_util.h, kernel/svm/ramp.h, kernel/svm/convert.h, util/math_base.h, util/math_float3.h and util/color.h. The code was changed: Cycles C++ became C# and HLSL, one function per node operation, with the nodes' socket defaults and clamp options left to the caller, and the modulo is the quotient form every CultMath target shares rather than fmodf. Nothing was read from Blender's GPL sources (source/blender/gpu, source/blender/blenlib).

  • Copyright 2011-2022 Blender Foundation.
  • Upstream: https://projects.blender.org/blender/blender (intern/cycles).
  • License: Apache-2.0 (https://www.apache.org/licenses/LICENSE-2.0), which is per-file here: it covers src/CultMath/math.Cycles.cs, shaders/CultMath.Cycles.hlsl and the Unity copy of that include, and shaders/CultMath.Cycles.glsl, which is generated from that include. Each carries the Apache-2.0 header and this attribution. The rest of CultMath, the generated GLSL library included, is MIT or MPL-2.0 as above, so the GameCult.Math NuGet package and the org.gamecult.cultmath Unity package both declare MIT AND MPL-2.0 AND Apache-2.0 and ship this file.
  • The test fixtures under tests/CultMath.Tests/fixtures/cycles-oracle are results of running Blender 5.2.2 through tools/cycles-oracle/oracle.py (GPL-3.0-or-later, a Blender Python script, shipped neither in the NuGet package nor in the Unity package).

Phacelle Noise

math.phacelle and cultmath_phacelle follow Rune Skovbo Johansen's Phacelle noise (Shadertoy t3dyWl; erosion filter wXcfWn; blog, March 2026), read from the C# port PhacelleNoise in lpmitchell/AdvancedTerrainErosion (AdvancedTerrainErosion.cs, converted to burstable C# by Luke Mitchell, 2026). The cell weight, the phase blend and the normalization follow it. The 3D-cell generalisation, the caller-supplied stripe wave vector, the exact gradient and the exact pruning are new here.

  • Copyright (c) 2025 Rune Skovbo Johansen.
  • Upstream: https://github.com/lpmitchell/AdvancedTerrainErosion
  • License: MPL-2.0 (https://mozilla.org/MPL/2.0/). MPL-2.0 is file-level, so it covers exactly the files that carry the port and nothing else: src/CultMath/math.Phacelle.cs, src/CultMath/CultPhasor.cs, shaders/CultMath.Phacelle.hlsl and the Unity copy of that include, and shaders/CultMath.Phacelle.glsl, which is generated from that include. Each carries the MPL-2.0 header and this attribution. The rest of CultMath, the generated GLSL library included, is MIT, so the GameCult.Math NuGet package and the org.gamecult.cultmath Unity package both declare MIT AND MPL-2.0 and ship this file.