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Arbitrary Precision Floating-Point

Abstract

Floating-Point numbers using the IEEE standard have a fixed number of bits associated with them. This limits the precision with which they can represent actual real numbers. In this chapter we examine arbitrary precision, also called multiple precision, floating-point numbers. We look at how they are represented in memory and how basic arithmetic works. We end with an examination of arbitrary precision floating-point libraries that are currently available and offer some thoughts on when to consider arbitrary precision floating-point.

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References

  1. https://docs.python.org/2/library/decimal.html. (retrieved 10 Jul 2016).

  2. http://mpmath.org/. (retrieved 14 Jul 2016).

  3. http://www.mpfr.org/. (retrieved 15 Oct 2014).

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Kneusel, R.T. (2017). Arbitrary Precision Floating-Point. In: Numbers and Computers. Springer, Cham. https://doi.org/10.1007/978-3-319-50508-4_9

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  • DOI: https://doi.org/10.1007/978-3-319-50508-4_9

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-50507-7

  • Online ISBN: 978-3-319-50508-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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