Method and apparatus for performing mathematical functions using

Details Method and apparatus for performing mathematical functions using Method and apparatus for performing mathematical functions using

1989-10-02

1991-08-20

Harkcom, Gary V.

Boots, shoes, and leggings

364754, G06F 752

Patent

active

050420011

ABSTRACT:
A method for approximating mathematical functions using polynomial expansions is implemented in a numeric processing system (10) which comprises a control and timing circuit (18), a microprogram store (20) and a multiplier circuit (34). The multiplier circuit (34) may comprise a rectangular aspect ratio multiplier circuit (40) having an additional ADDER INPUT to enable the repeated evaluation of first order polynomials to evaluate polynomial expansions associated with each mathematical function. A constant store (28) is used to store predetermined coefficients for the polynomial expansion associated with each mathematical functions. The microprogram store (20) is used to store argument transformation routines, polynomial expansions and result transformation routines associated with each mathematical function.

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John F. Hart et al., "Computer Approximations", John Wiley & Sons, Inc., 1968, pp. 1-197.
IEEE, 1959, "The Cordic Trigonometric Computing Techneque", by Jack E. Volder, pp. 226-230.
American Federation of Information Processing Societies, Inc., 1971, pp. 272-278, "A Unified Algorithm for Elementary Functions", by J. S. Walther.
Technical Paper, "New Scalar and Vector Elementary Functions", Mar. 1986, by Ramesh C. Agarwal, et al.
Lecture notes, "Transcendental Approximations Using Cordic", by Jim Valerio, Jun. 14, 1988, pp. 1-14.

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