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?".