An Example of Clifford Algebras Calculations with GiNaC

TL;DR

This paper demonstrates how to perform symbolic and numeric Clifford algebra calculations using the GiNaC library, highlighting its capabilities and potential integration with other software tools.

Contribution

It provides an example implementation of Clifford algebra calculations with GiNaC, showcasing its support for symbolic and numeric computations and potential for integration.

Findings

Supports symbolic and numeric Clifford algebra calculations

Can be integrated with software like Octave and gTybalt

Based on GiNaC version 1.3.0 or higher

Abstract

This example of Clifford algebras calculations uses GiNaC (http://www.ginac.de/) library, which includes a support for generic Clifford algebra starting from version~1.3.0. Both symbolic and numeric calculation are possible and can be blended with other functions of GiNaC. This calculations was made for the paper math.CV/0410399. Described features of GiNaC are already available at PyGiNaC (http://sourceforge.net/projects/pyginac/) and due to course should propagate into other software like GNU Octave (http://www.octave.org/), gTybalt (http://www.fis.unipr.it/~stefanw/gtybalt.html), which use GiNaC library as their back-end.