The Piranha algebraic manipulator

Details The Piranha algebraic manipulator The Piranha algebraic manipulator

2009-07-12

arxiv.org/abs/0907.2076v1

Computer Science

Symbolic Computation

24 pages, 2 figures

Scientific paper

In this paper we present a specialised algebraic manipulation package devoted to Celestial Mechanics. The system, called Piranha, is built on top of a generic and extensible framework, which allows to treat efficiently and in a unified way the algebraic structures most commonly encountered in Celestial Mechanics (such as multivariate polynomials and Poisson series). In this contribution we explain the architecture of the software, with special focus on the implementation of series arithmetics, show its current capabilities, and present benchmarks indicating that Piranha is competitive, performance-wise, with other specialised manipulators.

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