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Conference Papers Year : 2001

Worst Cases for Correct Rounding of the Elementary Functions in Double Precision

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 floating-point arithmetic. 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.
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Dates and versions

inria-00100547 , version 1 (26-09-2006)

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  • HAL Id : inria-00100547 , version 1

Cite

Vincent Lefèvre, Jean-Michel Muller. Worst Cases for Correct Rounding of the Elementary Functions in Double Precision. 15th IEEE Symposium on Computer Arithmetic - ARITH 2001, 2001, Vail, Colorado, pp.111-118. ⟨inria-00100547⟩
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