Mathic is a C++ library of fast data structures designed for use in Groebner basis computation. This includes data structures for ordering S-pairs, performing divisor queries and ordering polynomial terms during polynomial reduction.
With Mathic you get to use highly optimized code with little effort so that you can focus more of your time on whatever part of your Groebner basis implementation that you are interested in. The data structures use templates to allow you to use them with whatever representation of monomials/terms and coefficients that your code uses. In fact the only places where Mathic defines its own monomials/terms is in the test code and example code. Currently only dense representations of terms/monomials are suitable since Mathic will frequently ask "what is the exponent of variable number x in this term/monomial?".
The paper "Practical Grobner Basis Computation" describes the data structures from a high level. It was presented at ISSAC 2012 and is available at http://arxiv.org/abs/1206.6940
The following copyright and license notice applies to all of the files in mathic.
Copyright 2012 2013 Bjarke Hammersholt Roune (http://www.broune.com) and Michael Stillman
Mathic is licensed for use under the terms of GNU Lesser General Public License version 2.0, and under any later version; the option is yours. See the files lgpl-*.txt in this directory.