A dance of rounds

ABSTRACT

Two different methods of getting sums of rounded numbers to add up to the rounded sum are discussed. The case of cascaded rounding, in which each number is replaced by a set of numbers to be rounded to a conforming sum, with the sum of the conforming sums itself conforming to the sum of the whole, is covered. Geometric properties of are reviewed.

REFERENCES

• 1: The Toronto Toolkit, by the Toronto APL Special Interest Group, second ed., Toronto, p. 5-3 (May 1988).
• 2: Paul Berry, Distributive rounding in commercial applications, Proceedings of the eighth international conference on APL, p.74-77, September 22-24, 1976, Ottawa, Canada [doi>10.1145/800114.803662]
• 3: J. Philip Benkard , John N. Seebe, Reflections on grades, ACM SIGAPL APL Quote Quad, v.13 n.3, p.251-257, March 1983
• 4: N. D. Thomson, The geometric primitives of APL, ACM SIGAPL APL Quote Quad, v.9 n.4, p.306-312, June 1979

INDEX TERMS

Primary Classification:
  D. Software
  D.3 PROGRAMMING LANGUAGES
      D.3.2 Language Classifications

          Nouns: APL

Additional Classification:
  G. Mathematics of Computing
  G.1 NUMERICAL ANALYSIS
      G.1.0 General
          Subjects: Computer arithmetic

General Terms:
Algorithms, Languages