Gajit: Symbolic Optimisation and JIT Compilation of Geometric Algebra in Python with GAALOP and Numba

摘要

Modern Geometric Algebra software systems tend to fall into one of two categories, either fast, difficult to use, statically typed, and syntactically different from the mathematics or slow, easy to use, dynamically typed and syntactically close to the mathematical conventions. Gajit is a system that aims to get the best of both worlds. It allows us to prototype and debug algorithms with the Python library Clifford [1] which is designed to be easy to read and write and then to optimise our code both symbolically with GAALOP [2] and via the LLVM pipeline with Numba [3] resulting in highly performant code for very little additional effort.