A pipelined computer architecture for unified elementary function evaluation

A pipelined computer architecture for rapid consecutive evaluation of several elementary functions (x/y, √x, sin x, cos, x, e^x, ln x, …) using basic CORDIC algorithms is proposed. Continued products iterations of the form (1 + σ_im 2^?k) allow linking n-identical ALU structures to permit n different function evaluations. New algorithms for sin^?1, cos^?1, cot^?1, sinh^?1, cosh^?1 and x^v are developed. Lastly, a new functional efficiency is defined for pipeline architectures which compares favorably to iterative arrays.Index terms—Digital Arithmetic, Pipeline, Unified Elementary Functions, Iterative Algorithms, CORDIC