A rational function arithmetic and simplification system in common Lisp

Authors:
Tak W. Yan
Affiliations:
-
Venue:
ACM SIGSAM Bulletin
Year:
1991

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Abstract

We describe a multivariate rational function (ratio of polynomials) arithmetic simplification system written in Common Lisp. These programs form one module in a sequence of packages written with an aim to develop an efficient, freely-distributed computer algebra system. In this report, we discuss the representation of rational functions in the system and the programs for rational addition, multiplication, and exponentiation. We also describe a package that converts between expressions in Lisp prefix form and the representation of rational expressions in the system.