Apparatus for rapidly determining the trigonometric...

Details Apparatus for rapidly determining the trigonometric... Apparatus for rapidly determining the trigonometric...

G - Physics

06

F

354/160

G06F 7/548 (2006.01) G06F 1/035 (2006.01)

Patent

CA 1090922

ABSTRACT OF THE DISCLOSURE High-speed hardware is employed to: subdivide an input angle into a series of smaller subangles according to the sine approximation algorithm: SIN(INPUT) = SIN(A) + COS(A)SIN(B) + COS(A)SIN(C) + COS(A)SIN(D); process the above terms separately through individual look- up tables; and sum the table results to provide the sine function of the input angle. The above algorithm is derived from a series of approximations re- lating to the sine and cosine functions of very small angles. The relative sizes of the above subangles is expressed by: A >> B > C > D The actual size of each subangle is dependent on the number of in- put bits, the size of the look-up tables available, and the accur- acy desired.

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