Evaluating Floating-Point Elementary Functions

Jean-Michel Muller, Nicolas Brunie, Florent de Dinechin, Claude-Pierre Jeannerod, Mioara Joldes, Vincent Lefèvre, Guillaume Melquiond, Nathalie Revol and Serge Torres
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Jean-Michel Muller: CNRS - LIP
Nicolas Brunie: Kalray
Florent de Dinechin: INSA-Lyon - CITI
Claude-Pierre Jeannerod: Inria - LIP
Mioara Joldes: CNRS - LAAS
Vincent Lefèvre: Inria - LIP
Guillaume Melquiond: Inria - LRI
Nathalie Revol: Inria - LIP
Serge Torres: ENS-Lyon - LIP

Chapter Chapter 10 in Handbook of Floating-Point Arithmetic, 2018, pp 375-433 from Springer

Abstract: Abstract The elementary functions (the right term is “elementary transcendental functions”) are the most common mathematical functions: sine, cosine, tangent, and their inverses, exponentials and logarithms of radices e, 2, or 10, etc. They appear everywhere in scientific computing. Therefore, being able to evaluate them quickly and accurately is important for many applications. Many very different methods have been used for evaluating them: polynomial or rational approximations, shift-and-add algorithms, table-based methods, etc.

Date: 2018
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DOI: 10.1007/978-3-319-76526-6_10

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