What every computer scientist should know about floating-point arithmetic

@article{Goldberg1991WhatEC,
  title={What every computer scientist should know about floating-point arithmetic},
  author={D. Goldberg},
  journal={ACM Comput. Surv.},
  year={1991},
  volume={23},
  pages={5-48}
}
  • D. Goldberg
  • Published 1991
  • Computer Science
  • ACM Comput. Surv.
  • Floating-point arithmetic is considered as esoteric subject by many people. This is rather surprising, because floating-point is ubiquitous in computer systems: Almost every language has a floating-point datatype; computers from PCs to supercomputers have floating-point accelerators; most compilers will be called upon to compile floating-point algorithms from time to time; and virtually every operating system must respond to floating-point exceptions such as overflow. This paper presents a… CONTINUE READING
    321 Citations

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    References

    SHOWING 1-5 OF 5 REFERENCES
    Finite Precision Rational Arithmetic: Slash Number Systems
    • 34
    • Highly Influential
    IEEE Standard 754-1985 for Binary Floating-point Arithmetic, IEEE, (1985)
    • Reprinted in SIGPLAN 22(2) pp. 9-25.
    • 1987
    HP-15C Advanced Functions Handbook
    • 1982
    HP-15L' Advanced Funct~ons Handbook
    • HP-15L' Advanced Funct~ons Handbook
    • 1982
    The Art of Computer Programming, Volume II, Second Edition
    • The Art of Computer Programming, Volume II, Second Edition
    • 1981