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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.

#License The code of both projects is licensed under the Apache license.

Contributions are welcome. Please fork or ask for direct commit access to the repo.

package de.gaalop.productComputer. BubbleSort Source: http://de.wikipedia.org/wiki/Bubblesort#Formaler%20Algorithmus

package de.gaalop.productComputer.GAMethods public static float canonicalReorderingSign(Blade a_p, Blade b, int bitCount) “This method is taken from the dissertation of Daniel Fontijne - Efficient Implementation of Geometric Algebra” package de.gaalop.visualizer.engines.lwjgl.recording. AnimatedGifEncoder No copyright asserted on the source code of this class. May be used for any

• purpose, however, refer to the Unisys LZW patent for restrictions on use of
• the associated LZWEncoder class. Please forward any corrections to
• kweiner@fmsware.com.
• @author Kevin Weiner, FM Software
• @version 1.03 November 2003

de.gaalop.visualizer.ia_math.* /**

• IAMath.java
• -- classes implementing interval arithmetic versions

•  of the arithmetic and elementary functions,
  

•  as part of the "ia_math library" version 0.1beta1, 10/97
  

• Copyright (C) 2000 Timothy J. Hickey
• License: zlib/png
• the class IAMath contains methods for performing basic
• arithmetic operations on intervals. Currently the
• elementary functions rely on the underlying implementation
• which uses the netlib fdlibm library. The resulting code
• is therefore probably unsound for the transcendental functions. */

Antlr, [BSD] antlr-runtime, [BSD] args4j, [MIT] commons-beanutils, [Apache] jdom, [Apache-style open source license] jna, [This library is licensed under the LGPL, version 2.1 or later, and (from version 4.0 onward) the Apache Software License, version 2.0. Commercial license arrangements are negotiable.] lwjgl, [BSD] lwjgl_util, [BSD] stringtemplate [BSD] Maven [Apache?]