Method and apparatus for reducing rounding error when evaluating

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364745, G06F 738

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056468768

ABSTRACT:
Rounding error can be reduced when evaluating binary floating point polynomials utilizing a Floating Point Unit (58) by first computing the sum of products of second and higher order polynomial terms. Next, the Floating Point Unit (58) adds a zero.sup.th level term to the product of a first order coefficient and an independent variable to form a "Big" term. The Floating Point Unit (58) calculates as a "Little" term the rounding error resulting from the computation of the "Big" term. The "Little" term is then added to the sum of products of higher order terms to form an "Intermediate" term. Finally, the Floating Point Unit (58) adds the "Big" term to the "Intermediate" term to form the polynomial result corrected by the rounding error introduced by the computation of the low order terms.

REFERENCES:
patent: 5042001 (1991-08-01), Brightman et al.
patent: 5197024 (1993-03-01), Pickett
patent: 5463574 (1995-10-01), Desrosiers et al.
Shmuel Gal et al., "An Accurate Elementary Mathematical Library for the IEEE Floating Point Standard" ACM Transactions on Mathematical Software, vol. 17, No. 1, Mar. 1991, pp. 26-45.

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