Automatic source-to-source error compensation of floating-point programs: code synthesis to optimize accuracy and time

Author:

Thévenoux Laurent1,Langlois Philippe2,Martel Matthieu3

Affiliation:

1. Inria - Laboratoire LIP; (CNRS, ENS de Lyon, Inria, UCBL), Univ. de Lyon; France

2. UPVD - Laboratoire LIRMM; (CNRS, UPVD, UM2), Univ. de Perpignan; France

3. UPVD - Laboratoire LAMPS (EA4217); Univ. de Perpignan; France

Publisher

Wiley

Subject

Computational Theory and Mathematics,Computer Networks and Communications,Computer Science Applications,Theoretical Computer Science,Software

Reference38 articles.

1. A floating-point technique for extending the available precision;Dekker;Numerische Mathematik,1971

2. Adaptive precision floating-point arithmetic and fast robust geometric predicates;Shewchuk;Springer Discrete & Computational Geometry,1997

3. Algorithms for accurate, validated and fast polynomial evaluation;Graillat;Japan Journal of Industrial and Applied Mathematics,2009

4. Accurate evaluation of the k-th derivative of a polynomial and its application;Jiang;Computers & Mathematics with Applications,2013

5. Automatic linear correction of rounding errors;Langlois;BIT,2001

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