Trigonometric function arithmetic processor using pseudo-division

摘要

A trigonometric function arithmetic processor comprises a first arithmetic unit for executing, in m steps, a pseudo-division operation for obtaining from an initial value ϑ a sequence of numbers {ak} and a pseudo-­remainder ε which fulfil the following equation     where ak = +1 or -1, andThe trigonometric function arithmetic processor also comprises a second arithmetic unit for executing the following pseudo-multiplication operation in m steps from initial values Xm = P and Ym = ε x P (where P = constant) and the sequence of numbers {ak}, for k = m-1, m-2, . . . . . 1 and 0,    Xk - 1 = Xk - ak x 2^-2k x Yk    Yk - 1 = (Yk + ak x Xk)/2^kso that X₀ = Q x cos ϑ and Y₀ = Q x sin ϑ (Q = constant) are simultaneously obtained.