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Test for (IN) equality, subtraction, proof of correctness
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Volume 21 ,  Issue 3  (July 1986) table of contents
Pages: 27 - 30  
Year of Publication: 1986
ISSN:0163-5778
Author
Charles B. Dunham  The University of Western Ontario, London, Ontario, Canada
Publisher
ACM  New York, NY, USA
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ABSTRACT

As normally implemented, (in)equality tests such as "a < b" can fail to execute correctly and thus algorithms that have been "proven" may fail.


REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

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J. Demmel, Underflow and the reliability of numerical software, SIAM J. Sci. Stat. Comput. <u>5</u> (1984), 887--919.
 
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C. Dunham, Floating point with rounding before normalization, Congressus Numerantium <u>46</u> (1985), (Proceedings 14th Manitoba Conf. on Numerical Math. and Computing), 91-102. Reprints available.
 
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P. Naur, Proof of algorithms by general snapshots, BIT <u>6</u> (1966), 310--316.
 
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F. W. J. Olver, Error bounds for arithmetic operations on computers without guard digits, IMA J. Numer. Anal. <u>3</u> (1983), 153--160.
 
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P. Sterbenz, Floating-point Computation, Prentice-Hall, 1974.
 
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W. Kahan, A survey of error analysis, in Information Processing 71, North Holland, 1214--1239.
 
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W. Kahan, A proposed standard for binary floating-point arithmetic. Computer <u>14</u> (March 1981), 51--62.