Compound algorithms for digit online arithmetic

Abstract

This paper describes a systematic method which has been successfully used to create several digit online algorithms. Basically, the method entails converting in a systematic way a known continued sums/products algorithm and combining the converted form of the continued sums/product algorithm with a generalized digitization algorithm. Not only does the method seem to have wide applicability in the creation of digit online algorithms for many elementary functions but the algorithms which have resulted from this method themselves have several desirable properties.