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Asi gay-julia

Wide-gamut color sampling with splittable determinism using Pigeons.jl

install
source · Clone the upstream repo
git clone https://github.com/plurigrid/asi
Claude Code · Install into ~/.claude/skills/
T=$(mktemp -d) && git clone --depth=1 https://github.com/plurigrid/asi "$T" && mkdir -p ~/.claude/skills && cp -r "$T/skills/gay-julia" ~/.claude/skills/plurigrid-asi-gay-julia-56af2d && rm -rf "$T"
manifest: skills/gay-julia/SKILL.md
source content

Gay.jl - Wide-Gamut Deterministic Color Sampling

Wide-gamut color sampling with splittable determinism using Pigeons.jl SPI pattern and LispSyntax integration.

Repository

Core Concepts

SplitMix64 Determinism

# Deterministic color from seed
using Gay

seed = 0x598F318E2B9E884
color = gay_color(seed)  # Returns LCH color
trit = gf3_trit(seed)    # Returns :MINUS, :ERGODIC, or :PLUS

GF(3) Conservation

Every color operation preserves the tripartite balance:

  • MINUS (-1): Contractive operations
  • ERGODIC (0): Neutral/balanced operations
  • PLUS (+1): Expansive operations

Sum of trits across parallel streams must equal 0 (mod 3).

LispSyntax Integration

using LispSyntax

# S-expression colorization
sexp = @lisp (defun factorial (n) (if (<= n 1) 1 (* n (factorial (- n 1)))))
colored = colorize(sexp, seed=seed)

Integration with plurigrid/asi

With gay-mcp skill

# MCP tool registration with deterministic colors
using Gay, MCP

tool = MCPTool("color-palette", seed=0x1069)
palette = generate_palette(tool, n=5)

With spi-parallel-verify

# Verify GF(3) conservation across parallel execution
using Gay, SPI

streams = trifurcate(seed, [:task1, :task2, :task3])
verify_conservation(streams)  # Asserts sum(trits) ≡ 0 (mod 3)

With triad-interleave

# Interleave three color streams
using Gay, TriadInterleave

schedule = interleave(
    minus_stream(seed),
    ergodic_stream(seed),
    plus_stream(seed)
)

Key Functions

FunctionDescription
gay_color(seed)
Generate LCH color from seed
gf3_trit(seed)
Extract GF(3) trit assignment
splitmix64(state)
Advance RNG state
colorize(sexp, seed)
Color S-expression nodes
palette(seed, n)
Generate n-color palette

Use Cases

  1. Deterministic UI theming - Same seed → same colors everywhere
  2. Parallel task coloring - GF(3) ensures balanced distribution
  3. CRDT conflict resolution - Trit-based merge ordering
  4. Terminal session coloring - vterm integration via crdt-vterm-bridge

Related Skills

  • gay-mcp
    - MCP server with Gay.jl colors
  • spi-parallel-verify
    - Strong Parallelism Invariance verification
  • triad-interleave
    - Three-stream scheduling
  • bisimulation-game
    - GF(3) conservation in game semantics