Abstract
Closed approximate rational arithmetic systems are described and their number theoretic foundations are surveyed. The arithmetic is shown to implicitly contain an adaptive single-to-double precision natural rounding behavior that acts to recover true simple fractional results. The probability of such recovery is investigated and shown to be quite favorable.
This research was supported in part by the National Science Foundation under Grant MCS77-21510.
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© 1979 Springer-Verlag Berlin Heidelberg
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Matula, D.W., Kornerup, P. (1979). Approximate rational arithmetic systems: Analysis of recovery of simple fractions during expression evaluation. In: Ng, E.W. (eds) Symbolic and Algebraic Computation. EUROSAM 1979. Lecture Notes in Computer Science, vol 72. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-09519-5_89
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DOI: https://doi.org/10.1007/3-540-09519-5_89
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