Exact Computation of a Sum or Difference with Applications to Argument Reduction

Authors:
Warren E. Ferguson, Jr.
Affiliations:
-
Venue:
ARITH '95 Proceedings of the 12th Symposium on Computer Arithmetic
Year:
1995

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Abstract

Results are presented that identify when the computed value of a sum or difference is exact. The accuracy of an argument reduction algorithm is analyzed using these results. This analysis demonstrates that catastrophic cancellation does not occur in this algorithm's computation of the reduced argument.