Apparatus for performing floating point arithmetic operation and

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G06F 738

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052126617

ABSTRACT:
An approximate solution Ya of a function F with respect to a given value X is derived by referring to a relation Y=F(X) at an accuracy at which an error between the approximate solution Ya and an infinitely precise solution Y is smaller than a weight of a digit in a place lower than a lowest place of significant digits for a final solution by two places. The approximate solution Ya is rounded to an interim solution Yr equal to one of possible interim solutions which is closest to the approximate solution Ya. A value Xr is derived from the interim solution Yr and an inverse function F.sup.-1 by referring to a relation Xr=F.sup.-1 (Yr). A sticky digit S is set to 0, 1, or -1 in response to the relation between the magnitudes of the values X and Xr and other information. The sticky digit S is added to a place immediately lower than a lowest place of the interim solution Yr. A result of this addition is rounded in a designated rounding mode to obtain the final solution.

REFERENCES:
patent: 4758972 (1988-07-01), Frazier
patent: 4789955 (1988-12-01), Umatani
patent: 4928259 (1990-05-01), Galbi et al.
"New Scalar and Vector Elementary Functions for the IBM System/370", by Ramesh C. Agarwal et al; IBM J. Res. Develop. vol. 30 No. Mar. 2, 1986; pp. 126-144.

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