Triplex Arithmetic for FORTRAN.

Abstract

Triplex arithmetic is a variant of interval arithmetic in which a 'main' value is computed in addition to the endpoints of the containing interval. The 'main' value is, in general, the value that would have been computed had properly-rounded real arithmetic been used to compute the results of the calculation; it may in some sense, be regarded as the 'most probable' value of the result of the calculation. The endpoints of the interval define the worst-case range of the possible values of the computation. This report describes a FORTRAN implementation of triplex arithmetic in both single and multiple precision. The package described in this report is designed to be used with the AUGMENT precompiler: this makes triplex arithmetic particularly easy to use. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1978
Accession Number
ADA068847

Entities

People

  • J. Michael Yohe
  • Klaus Boehmer

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • C4I
  • Counter WMD

DTIC Thesaurus Topics

  • Accuracy
  • Arithmetic
  • Compilers
  • Computational Science
  • Computations
  • Computer Programs
  • Computer Science
  • Computers
  • Mathematics
  • Numbers
  • Precision
  • Procedures (Computers)
  • Real Numbers
  • Real Variables
  • Square Roots
  • Standards
  • United States

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  • Approximation Theory.
  • Database Systems and Applications