Eadix l6 evaluation of some elementary functions

Abstract

This paper describes an approach for obtaining a class of similar algorithms for evaluation of some elementary functions. The main objective is to show feasibility of higher radix implementations, in particular radix 16, as they offer better performance than radix 2. The emphasis is not on optimality of a single algorithm but rather on the optimality of the whole class of algorithms. An attempt to implement a much wider class of functions than is done in conventional arithmetic units, would be encouraged by the present level of technology and by the existence of suitable algorithms. Besides the definitions of the algorithms, which are based on continued products (sums), some details related to implementation are discussed.