Arb: Efficient Arbitrary-Precision Midpoint-Radius Interval Arithmetic

Fredrik Johansson 1
1 LFANT - Lithe and fast algorithmic number theory
IMB - Institut de Mathématiques de Bordeaux, Inria Bordeaux - Sud-Ouest
Abstract : Arb is a C library for arbitrary-precision interval arithmetic using the midpoint-radius representation, also known as ball arithmetic. It supports real and complex numbers, polynomials, power series, matrices, and evaluation of many special functions. The core number types are designed for versatility and speed in a range of scenarios, allowing performance that is competitive with non-interval arbitrary-precision types such as MPFR and MPC floating-point numbers. We discuss the low-level number representation, strategies for precision and error bounds, and the implementation of efficient polynomial arithmetic with interval coefficients.
Type de document :
Pré-publication, Document de travail
2016
Liste complète des métadonnées


https://hal.inria.fr/hal-01394258
Contributeur : Fredrik Johansson <>
Soumis le : mercredi 9 novembre 2016 - 07:31:53
Dernière modification le : jeudi 10 novembre 2016 - 01:04:24
Document(s) archivé(s) le : mardi 14 mars 2017 - 23:07:22

Fichier

arb.pdf
Fichiers produits par l'(les) auteur(s)

Licence


Copyright (Tous droits réservés)

Identifiants

  • HAL Id : hal-01394258, version 1

Collections

Citation

Fredrik Johansson. Arb: Efficient Arbitrary-Precision Midpoint-Radius Interval Arithmetic. 2016. <hal-01394258>

Partager

Métriques

Consultations de
la notice

172

Téléchargements du document

74