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

Published:14 October 2007Publication 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. Google ScholarGoogle ScholarDigital LibraryDigital Library
  2. Braxenthaler, M., Unger, R., Auerbach, D., Given, J. A. and Moult, J. Chaos in Protein Dynamics, December 2005.Google ScholarGoogle Scholar
  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. Google ScholarGoogle ScholarDigital LibraryDigital Library
  4. Goldberg, D. What Every Computer Scientist Should Know About Floating-Point Arithmetic. ACM Computing Surveys, March 1991, 23(1):5--48. Google ScholarGoogle ScholarDigital LibraryDigital Library
  5. IEEE Std 754--1985, "IEEE Standard for Binary Floating-Point Arithmetic."Google ScholarGoogle Scholar
  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. Google ScholarGoogle ScholarDigital LibraryDigital Library
  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. Google ScholarGoogle ScholarDigital LibraryDigital Library

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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

        Copyright © 2007 ACM

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        Association for Computing Machinery

        New York, NY, United States

        Publication History

        • Published: 14 October 2007

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