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Extending the Precision

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

Though satisfactory in most situations, the fixed-precision floating-point formats that are available in hardware or software in our computers may sometimes prove insufficient. There are reasonably rare cases when the binary64/decimal64 or binary128/decimal128 floating-point numbers of the IEEE 754 standard are too crude as approximations of the real numbers. Also, at the time of writing these lines, the binary128 and decimal128 formats are very seldom implemented in hardware.

Suggested Citation

  • Jean-Michel Muller & Nicolas Brunie & Florent de Dinechin & Claude-Pierre Jeannerod & Mioara Joldes & Vincent Lefèvre & Guillaume Melquiond & Nathalie Revol & Serge Torres, 2018. "Extending the Precision," Springer Books, in: Handbook of Floating-Point Arithmetic, edition 2, chapter 0, pages 513-552, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-76526-6_14
    DOI: 10.1007/978-3-319-76526-6_14
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