Abstract
AbstractAn algorithm for determining the values of sin 2πx and cos2πx, given x, is described. The value of the function is determined by a single masking operation. By storing 2n values in the table it is possible to exploit the periodicity of the two's complement representation to locate values for negative x and thus avoid treating negative values of x as a special case. The algorithm can be coded in some modern high level languages (e.g. PL/I) and is particularly suitable for use in structure factor routines for protein crystallography.
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