Method and apparatus for performing floating point arithmetic op

Details Method and apparatus for performing floating point arithmetic op Method and apparatus for performing floating point arithmetic op

1993-02-02

1994-05-17

Mai, Tan V.

Boots, shoes, and leggings

364745, G06F 752, G06F 738

Patent

active

053134150

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.

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Proceedings IEEE ICCD: VLSI in Computer & Processors, Mass. 2-4 Oct. '89, pp. 366-368; Lu et al.: `A VLSI Module for IEEE Floating Point Multiplication/Division/Square Root`.
"New Scalar and Vector Elementary Functions for the IBM System/370", by Ramesh C. Agarwal et al; IMB J. Res. Develop. vol. 30 No. 2, Mar. 1986; pp. 126-144.

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