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Zbl 0853.65022
Luther, Wolfram
Highly accurate tables for elementary functions. (English)
[J] BIT 35, No.3, 352-360 (1995). ISSN 0006-3835; ISSN 1572-9125/e

Based on {\it J. E. Bresenham's} algorithm [Algorithm for computer control of a digital plotter, IBM Systems J., 25-30 (1965)], a fast method for computing accurate tables of elementary functions is proposed. Together with a polynomial approximation of a function near a table value the method provides last bit accuracy for practically all argument values with using extended precision computations. The paper proposes PASCAL program fragments for some of the usual elementary functions (trigonometric, hyperbolic, etc.).
[E.Kreyszig (Ottawa)]

MSC 2000:: *65D20 Computation of special functions
65A05 Tables
26-04 Machine computation, programs (real functions)
26A09 Elementary functions of one real variable

Keywords: computer arithmetic; Bresenham's algorithm; tables of elementary functions

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