geometric_algebra

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About

This repository allows you to describe geometric algebras with 1 to 16 generator elements and generate SIMD-ready, dependency-less libraries for them. It also comes with a set of prebuilt projective geometric algebras in 1D, 2D and 3D which are elliptic, parabolic (euclidian) or hyperbolic.

Architecture

• DSL Parser: See examples
• Algebra: Generates the multiplication tables
• Compiler: Constructs an AST from the multiplication tables
• Optimizer: Simplifies the AST
• Legalizer: Inserts missing expressions in the AST
• Emitter: Serializes the AST to source code
  • Rust
  • GLSL

Supported SIMD ISAs

• x86, x86_64: sse2
• arm, aarch64: neon
• wasm32: simd128