Worst Cases for the Exponential Function in the IEEE 754r decimal64 Format

Vincent Lefèvre 1 Damien Stehlé 1 Paul Zimmermann 1
1 SPACES - Solving problems through algebraic computation and efficient software
INRIA Lorraine, LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications
Abstract : We show how one can search for the worst cases for correct rounding of the exponential function in the IEEE 754r 64-bit decimal format, and give such bad cases that have been found so far. This work can be extended to other elementary functions in the decimal64 format, and allows the design of reasonably fast routines that will evaluate these functions with correct rounding, at least in some domains.
Complete list of metadatas

https://hal.inria.fr/inria-00068731
Contributor : Vincent Lefèvre <>
Submitted on : Friday, May 12, 2006 - 6:22:46 PM
Last modification on : Wednesday, December 19, 2018 - 1:08:13 PM
Long-term archiving on : Monday, September 17, 2012 - 2:26:04 PM

Identifiers

Citation

Vincent Lefèvre, Damien Stehlé, Paul Zimmermann. Worst Cases for the Exponential Function in the IEEE 754r decimal64 Format. Reliable Implementation of Real Number Algorithms: Theory and Practice, Jan 2006, Dagstuhl, Germany. pp.114-126, ⟨10.1007/978-3-540-85521-7_7⟩. ⟨inria-00068731v1⟩

Share

Metrics

Record views

37

Files downloads

21