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Evaluating Floating-Point Elementary Functions

In: Handbook of Floating-Point Arithmetic

Author

Listed:
  • 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)

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.

Suggested Citation

  • Jean-Michel Muller & Nicolas Brunie & Florent de Dinechin & Claude-Pierre Jeannerod & Mioara Joldes & Vincent Lefèvre & Guillaume Melquiond & Nathalie Revol & Serge Torres, 2018. "Evaluating Floating-Point Elementary Functions," Springer Books, in: Handbook of Floating-Point Arithmetic, edition 2, chapter 0, pages 375-433, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-76526-6_10
    DOI: 10.1007/978-3-319-76526-6_10
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