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

Vincent Lefèvre 1 Jean-Michel Muller 2
1 SPACES - Solving problems through algebraic computation and efficient software
INRIA Lorraine, LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications
2 ARENAIRE - Computer arithmetic
Inria Grenoble - Rhône-Alpes, LIP - Laboratoire de l'Informatique du Parallélisme
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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Conference papers
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https://hal.inria.fr/inria-00100547
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Submitted on : Tuesday, September 26, 2006 - 2:46:59 PM
Last modification on : Thursday, January 17, 2019 - 3:16:03 PM

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  • HAL Id : inria-00100547, version 1

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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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