Practically Fast Multiple-Precision Evaluation of LOG(X)
A new algorithm for multiple-precision evaluation of log(x) is presented. The algorithm is based on the wellknown q-expansion formulas for elliptic theta functions and the famous arithmetic-geometric mean of Gauss. The algorithm is a generalization of the Salamin-Brent algorithm based on the arithmetic-geometric mean. The efficiency of the new algorithm is shown by numerical experiments.
- Journal of information processing
Journal of information processing 5(4), 247-250, 1982-12-20