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Abstract: We give here 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 to easily test libraries that are claimed to provide correctly rounded functions. Keywords: Elementary functions,... (Update)
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BibTeX entry: (Update)
Vincent Lefevre and Jean-Michel Muller. Worst cases for correct rounding of the elementary functions in double precision. Research report no.2000-35, Laboratoire de l'Informatique du Parallelisme, Ecole Normale Superieure de Lyon, 2000. http://citeseer.ist.psu.edu/lef00worst.html More
@inproceedings{ vre01worst,
author = "Vincent Lef{\`e}vre and Jean-Michel Muller",
title = "Worst cases for correct rounding of the elementary functions in double precision",
booktitle = "Proceedings of the 15th Symposium on Computer Arithmetic",
address = "Vail, Colorado",
editor = "Burgess, Neil and Ciminiera, Luigi",
pages = "111--118",
year = "2001",
url = "citeseer.ist.psu.edu/lef00worst.html" }
Citations (may not include all citations):20 IEEE standard for binary floating-point arithmetic (context) - Standards, Institute et al. - 1985
5 New scalar and vector elementary functions for the IBM syste.. (context) - Agarwal, Cooley et al. - 1986
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