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Worst Cases for Correct Rounding of the Elementary Functions in Double Precision
Vail, Colorado June 11-June 13
DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/ARITH.2001.93011015th IEEE Symposium on Computer Arith ...
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Vincent Lefévre, Jean-Michel Muller, "Worst Cases for Correct Rounding of the Elementary Functions in Double Precision," Computer Arithmetic, IEEE Symposium on, pp. 0111, 15th IEEE Symposium on Computer Arithmetic (ARITH-15 '01), 2001.
 
 
BibTex
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@article{ 10.1109/ARITH.2001.930110,
author = {Vincent Lefévre and Jean-Michel Muller},
title = {Worst Cases for Correct Rounding of the Elementary Functions in Double Precision},
journal ={Computer Arithmetic, IEEE Symposium on},
volume = {0},
year = {2001},
isbn = {0-7695-1150-3},
pages = {0111},
doi = {http://doi.ieeecomputersociety.org/10.1109/ARITH.2001.930110},
publisher = {IEEE Computer Society},
address = {Los Alamitos, CA, USA},
}
 
 
RefWorks Procite/RefMan/Endnote
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TY - CONF
JO - Computer Arithmetic, IEEE Symposium on
TI - Worst Cases for Correct Rounding of the Elementary Functions in Double Precision
SN - 0-7695-1150-3
SP
EP
A1 - Vincent Lefévre,
A1 - Jean-Michel Muller,
PY - 2001
VL - 0
JA - Computer Arithmetic, IEEE Symposium on
ER -
 
Vincent Lefévre, INRIA, Projet Spaces, LORIA, Campus Scientifique
Jean-Michel Muller, Ecole Normale Superieure de Lyon
Abstract: We give the results of a four-year search for the worst cases for correct rounding of the major elementary functions in double precision. These results allow the design of reasonably fast routines that will compute these functions with correct rounding, at least in some interval, for any of the four rounding modes specified by the IEEE-754 standard. They will also allow one to easily test libraries that are claimed to provide correctly rounded functions.
Citation:
Vincent Lefévre, Jean-Michel Muller, "Worst Cases for Correct Rounding of the Elementary Functions in Double Precision," arith, pp.0111, 15th IEEE Symposium on Computer Arithmetic (ARITH-15 '01), 2001
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