Linux 
Gaalop (Geometic Algebra Algorithms Optimizer) is a software to compile and optimize geometric algebra (GA) expressions into high-level programming language code. Geometric algebra expressions can be developed using the freely available CLUCalc software by Christian Perwass. Gaalop optimizes CLUCalc expressions and produces C++ (AMP), OpenCL, CUDA, CLUCalc or LaTeX output. The optimized code is free of geometric algebra operations and runs very efficiently on various platforms.
This is probably best explained in this article: https://slehar.wordpress.com/2014/03/18/clifford-algebra-a-visual-introduction/ or this book: http://www.amazon.de/Foundations-Geometric-Algebra-Computing-Geometry/dp/3642317936
Note that this repository also contains Gaalop Precompiler (GPC) in the branch gaalop_precompiler. GPC integrates Gaalop directly into CMake-generated C/C++-toolchains. Gaalop Precompiler reuses most of the code of Gaalop which is why merges from Gaalop are required quite often.
The code of both projects is licensed under the LGPL 3.0.
Contributions are welcome. Please fork and create a pull request.
Please visit the wiki on this repository. You will find manuals for compiling GAALOP and GAALOP Precompiler.