Cubic equation calculation apparatus and cubic curve coordinate

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364718, G06F 1532, G06F 102

Patent

active

050601814

ABSTRACT:
A cubic equation calculation apparatus calculates f(n) of a function when a cubic equation variable T=n is defined by f(T)=AT.sup.3 +BT.sup.2 +CT+D where A, B, C and D are constants. The apparatus includes a first calculation circuit using a process where variable T is incremented by 1 from 1, for calculating coefficient data A.sub.n, B.sub.n, C.sub.n and D.sub.n when T=n (n=1, 2, . . . ) in accordance with A.sub.n =A.sub.n-1 ; B.sub.n =3A.sub.n-1 +B.sub.n-1 ; C.sub.n =3A.sub.n-1 +2B.sub.n-1 +C.sub.n-1 ; D.sub.n =A.sub.n-1 +B.sub.n-1 +C.sub.n-1 +D.sub.n-1 ; and using coefficient data A.sub.1, B.sub.1, C.sub.1 and D.sub.1 when T=1 being such that A.sub.1 =A, B.sub.1 =B, C.sub.1 =C and D.sub.1 =D, and using coefficient data A.sub.n-1, B.sub.n-1, C.sub.n-1 and D.sub.n-1 when T=n-1. The apparatus also includes a second calculation circuit for calculating f(n) in accordance with f(n)=A.sub.n +B.sub.n +C.sub.n +D.sub.n when T=n. A cubic curve coordinate data generation apparatus is provided, using the cubic equation calculation apparatus.

REFERENCES:
patent: 4760548 (1988-07-01), Baker et al.
patent: 4907282 (1990-03-01), Daly et al.

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