Efficient and reliable methods for rounded-interval arithmetic

S. L. Abrams, W. Cho, C. Y. Hu, T. Maekawa, N. M. Patrikalakis, E. C. Sherbrooke, X. Ye

研究成果: Article査読

29 被引用数 (Scopus)

抄録

We present an efficient and reliable method for computing the unitin-the-last-place (ulp) of a double-precision floating-point number, taking advantage of the standard binary representation for floatingpoint numbers defined by IEEE Std 754-1985. The ulp is necessary to perform software rounding for robust rounded-interval arithmetic (RIA) operations. Hardware rounding, using two of the standard rounding modes defined by IEEE-754, may be more efficient. RIA has been used to produce robust software systems for the solution of systems of nonlinear equations, interrogation of geometric and differential properties of curves and surfaces, curve and surface intersections, and solid modeling.

本文言語English
ページ(範囲)657-665
ページ数9
ジャーナルCAD Computer Aided Design
30
8
DOI
出版ステータスPublished - 1998
外部発表はい

ASJC Scopus subject areas

  • Computer Science Applications
  • Computer Graphics and Computer-Aided Design
  • Industrial and Manufacturing Engineering

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