Method and apparatus for evaluating polynomials and rational...

G - Physics – 06 – F

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G06F 17/10 (2006.01) G06F 17/11 (2006.01)

Patent

CA 2325615

Disclosed herein are a computer-processing method and apparatus for computing values of polynomials or rational functions. A mathematical software library can advantageously embody the concepts of this invention. The method can be adapted to compute values for non-elementary,special functions, for example ERF, ERFC, LGAMMA, and Bessel functions. The steps for polynomial evaluation include presenting input data that includes coefficients of polynomial p(x), x, a predetermined x i, and p(x i), building polynomial c(x) having coefficients so that polynomial p(x) is expressible as: p(x) = p(xi) + {x - x i} . c(x), determining each coefficient of polynomial c(x), determining a value of polynomial c(x), and constructing a value of polynomial p(x) by determining: p(x) = p(x i) + {x - x i} . c(x). The method can be adapted for providing a value for a rational function r(x) = p(x)/q(x), which is a ratio of a numerator polynomial p(x) and a denominator polynomial q(x).

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