A floating-point technique for extending the available precision
- Dr. T. J. Dekker
- … show all 1 hide
Rent the article at a discountRent now
* Final gross prices may vary according to local VAT.Get Access
A technique is described for expressing multilength floating-point arithmetic in terms of singlelength floating point arithmetic, i.e. the arithmetic for an available (say: single or double precision) floating-point number system. The basic algorithms are exact addition and multiplication of two singlelength floating-point numbers, delivering the result as a doublelength floating-point number. A straight-forward application of the technique yields a set of algorithms for doublelength arithmetic which are given as ALGOL 60 procedures.
- Babuška, I.: Numerical stability in mathematical analysis. IFIP congr. 68, Invited papers, 1–13 (1968).
- Grau, A. A.: On a floating-point number representation for use with algorithmic languages. Comm. ACM5, 160–161 (1962).
- Kahan, W.: Further remarks on reducing truncation errors. Comm. ACM8, 40 (1965).
- Knuth, D. E.:The art of computer programming, vol. 2. Addison Wesley (1969).
- Møller, O.: Quasi double-precision in floating-point addition. BIT5, 37–50 (1965).
- Naur, P. (ed.): Revised report on the algorithmic language, ALGOL 60 (1962).
- Veltkamp, G. W.: Private communications (see also RC Informatie Nr. 21 & 22, Technological University, Eindhoven). (1968).
- Wilkinson, J. H.: Rounding errors in algebraic processes. Her Majesty's Stationary Office (1963).
- A floating-point technique for extending the available precision
Volume 18, Issue 3 , pp 224-242
- Cover Date
- Print ISSN
- Online ISSN
- Additional Links
- Industry Sectors
- Dr. T. J. Dekker (1)
- Author Affiliations
- 1. Mathematical Centre, 2 E Boerhaavestraat 49 NL, Amsterdam, Netherlands