Unnormalized Floating Point Arithmetic

Author:

Ashenhurst R. L.1,Metropolis N.1

Affiliation:

1. The University of Chicago, Chicago, Illinois

Abstract

Algorithms for floating point computer arithmetic are described, in which fractional parts are not subject to the usual normalization convention. These algorithms give results in a form which furnishes some indication of their degree of precision. An analysis of one-stage error propagation is developed for each operation; a suggested statistical model for long-run error propagation is also set forth.

Publisher

Association for Computing Machinery (ACM)

Subject

Artificial Intelligence,Hardware and Architecture,Information Systems,Control and Systems Engineering,Software

Reference1 articles.

Cited by 36 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Monotonicity of Multi-term Floating-Point Adders;IEEE Transactions on Computers;2024-06

2. New Results on Non-Normalized Floating-Point Formats;IEEE Transactions on Computers;2020-12-01

3. Numerical Computations;The Mathematica GuideBook for Numerics;2006

4. Precise numerical computation;The Journal of Logic and Algebraic Programming;2005-07

5. Errors and Approximations in Digital Computers;Mathematics in Science and Engineering;2005

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