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Automatic code generation for low-dimensional geometric algorithms is capableof producing efficient low-level software code through a high-level geometricdomain specific language. Geometric Algebra (GA) is one of the most suitablealgebraic systems for being the base for such code generator. This workpresents an attempt at realizing such idea in practice. A novel GA-basedgeometric code generator, called GMac, is proposed. Comparisons to similarGA-based code generators are provided. The possibility of fully benefiting fromthe symbolic power of GA while obtaining good performance and maintainabilityof software implementations is illustrated through a ray tracing application.

Optimized Automatic Code Generation for Geometric Algebra Based Algorithms with Ray Tracing Application