Nemo/Hecke: Computer Algebra and Number Theory Packages for the Julia Programming Language
JOHANSSON, Fredrik
Institut de Mathématiques de Bordeaux [IMB]
Lithe and fast algorithmic number theory [LFANT]
< Réduire
Institut de Mathématiques de Bordeaux [IMB]
Lithe and fast algorithmic number theory [LFANT]
Langue
en
Communication dans un congrès
Ce document a été publié dans
ISSAC '17 - International Symposium on Symbolic and Algebraic Computation, 2017-07-25, Kaiserslautern.
Résumé en anglais
We introduce two new packages, Nemo and Hecke, written in the Julia programming language for computer algebra and number theory. We demonstrate that high performance generic algorithms can be implemented in Julia, without ...Lire la suite >
We introduce two new packages, Nemo and Hecke, written in the Julia programming language for computer algebra and number theory. We demonstrate that high performance generic algorithms can be implemented in Julia, without the need to resort to a low-level C implementation. For specialised algorithms, we use Julia's efficient native C interface to wrap existing C/C++ libraries such as Flint, Arb, Antic and Singular. We give examples of how to use Hecke and Nemo and discuss some algorithms that we have implemented to provide high performance basic arithmetic.< Réduire
Projet Européen
Algorithmic Number Theory in Computer Science
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