System for optimizing argument reduction

Details System for optimizing argument reduction System for optimizing argument reduction

1994-03-14

1995-09-19

Envall, Jr., Roy N.

Boots, shoes, and leggings

36471501, G06F 700, G06F 738

Patent

active

054522412

ABSTRACT:
A method for approximating mathematical functions using polynomial expansions is implemented in a numeric processing system. A partial remainder operation is set forth for high accuracy reduction of polynomials whose arguments are greater than pi/4. The method may be practiced in a processor having a bus of approximately half the width of the precision of the desired result. Temporary registers are utilized for the storage of intermediate results. Full bus width accuracy is obtained through successive half bus width operations.

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Ferguson, Jr. et al., "Accurate and Monotone Approximations of Some Transcendental Function", Proceedings of the 10th IEEE Symp. on Comp. Arithmetic, pp. 6-91, pp. 237-244, 1991.

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