A pipelined computer architecture for unified elementary function evaluation |
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Authors: | Michael Andrews Daniel A. Eggerding |
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Affiliation: | Dept. of Electrical Engineering, Colorado State University, Ft. Collins, CO 80523, U.S.A. |
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Abstract: | A pipelined computer architecture for rapid consecutive evaluation of several elementary functions (x/y, √x, sin x, cos, x, ex, ln x, …) using basic CORDIC algorithms is proposed. Continued products iterations of the form (1 + σim 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 xv 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 |
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