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Evaluation of IEEE 754 floating-point arithmetic compliance across a wide range of heterogeneous computers

Published: 14 October 2007 Publication History

Abstract

Scientific applications rely heavily on floating-point arithmetic and, therefore, are affected by the precision and implementation of floating-point operations. Although the computers we use are IEEE compliant, this only assures the same representation of floating-point numbers; it does not guarantee that floating-point operations will be performed in the same way on all computers. As a result the same program run on different computers may yield different results. This paper is a first step in understanding the reason for this, in particular, different results for the execution of the application Charmm on different computers. We report on our use of a well-known test suite, IeeeCC754, to evaluate IEEE 754 compliance across a wide range of heterogeneous computers with different architectures, operating systems, precisions, and compilers.

References

[1]
Bailey, D. H. High-precision Floating-point Arithmetic in Scientific Computation. Computing in Science and Engineering, May-June 2005, 7(3):54--61.
[2]
Braxenthaler, M., Unger, R., Auerbach, D., Given, J. A. and Moult, J. Chaos in Protein Dynamics, December 2005.
[3]
Cuyt, A., Verdonk, B., and Verschaeren, D. A Precision- and Range-independent Tool for Testing Floating-point Arithmetic II: Conversions. ACM Transactions on Mathematical Software, 27(1):119--140, May 2001.
[4]
Goldberg, D. What Every Computer Scientist Should Know About Floating-Point Arithmetic. ACM Computing Surveys, March 1991, 23(1):5--48.
[5]
IEEE Std 754--1985, "IEEE Standard for Binary Floating-Point Arithmetic."
[6]
Taufer, M., Anderson, D. P., Cicotti, P., and Brooks III, C. L. Homogeneous Redundancy: a Technique to Ensure Integrity of Molecular Simulation Results Using Public Computing. Proceedings of the 14th Heterogeneous Computing Workshop HCW (2005), in conjunction with IPDPS 2005. Denver, Colorado, April 2005.
[7]
Verdonk, B., Cuyt, A., and Verschaeren, D. A Precision-and Range-independent Tool for Testing Floating-point Arithmetic I: Basic Operations, Square Root, and Remainder. ACM Transactions on Mathematical Software, 27(1):92--118, March 2001.

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  1. Evaluation of IEEE 754 floating-point arithmetic compliance across a wide range of heterogeneous computers

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      cover image ACM Conferences
      TAPIA '07: Proceedings of the 2007 conference on Diversity in computing
      October 2007
      48 pages
      ISBN:9781595938664
      DOI:10.1145/1347787
      Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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      Published: 14 October 2007

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      Author Tags

      1. heterogeneous computing
      2. result divergences
      3. scientific computation

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      View all
      • (2023)Research on Image Encryption Based on Fractional Seed Chaos Generator and Fractal TheoryFractal and Fractional10.3390/fractalfract70302217:3(221)Online publication date: 1-Mar-2023
      • (2022)Secure Real-Time Chaotic Partial Encryption of Entropy-Coded Multimedia Information for Mobile Devices: SmartphonesIEEE Access10.1109/ACCESS.2022.314942410(15876-15890)Online publication date: 2022
      • (2016)Straintronics-Based True Random Number Generator for High-Speed and Energy-Limited ApplicationsIEEE Transactions on Magnetics10.1109/TMAG.2015.247839852:1(1-9)Online publication date: Jan-2016
      • (2015)Classifications of computing sites to handle numerical variabilityProceedings of the 15th IEEE/ACM International Symposium on Cluster, Cloud, and Grid Computing10.1109/CCGrid.2015.167(863-870)Online publication date: 4-May-2015

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