CultMath: fbm, and the measured Lipschitz bound of phacelle #1
2026-11-02
cultmath: phacelle-lipschitz prints usage and exits 2 on missing or malformed arguments
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Without arguments the tool threw IndexOutOfRange; a malformed number threw FormatException. Co-Authored-By: Claude Sonnet 5.5 <noreply@anthropic.com>
2026-11-01
cultmath: re-record device-bounds-lavapipe.txt for cultmath_fbm
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Recorded on Yggdrasil under llvmpipe (LLVM 20.1.2) with packages/cultmath/tools/device/run-lavapipe.sh, WRITE_BOUNDS=1, at990521b3. Adds the lavapipe-glsl and lavapipe-hlsl rows for cultmath_fbm only. The cycles_arcsine/arctan2 rows are left as committed (pre-existing asin/atan oracle failures at base94f20eeeare out of scope). Co-Authored-By: Claude Sonnet 5.5 <noreply@anthropic.com>
2026-10-31
cultmath: measure the Lipschitz bound of phacelle, with its tool and a pinning test
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max singular value of the (cosine, sine) Jacobian <= max(10, 1.25 |side|) / (1 - normalization) for normalization in [0, 0.9], |side| in [0.25, 25]; method and tightness in design.md. Co-Authored-By: Claude Sonnet 5.5 <noreply@anthropic.com>
cultmath: add fbm, the value-only octave sum of snoise, with its HLSL and GLSL mirrors
math.fbm(p, octaves, lacunarity, gain) and math.fbm(p) (four octaves, lacunarity 2, gain 0.5); cultmath_fbm in the shaders, the GLSL regenerated by GlslLowering, a golden-fixture family appended, FbmTests for the rules. Co-Authored-By: Claude Sonnet 5.5 <noreply@anthropic.com>