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Algorithm 708 (BRATIO) was run on 2730 test cases. Comparison of these results with the results from an algorithm using a continued fraction of Tretter and Walster were performed using a high-precision version of the latter algorithm implemented in Maple. Accuracy of BRATIO ranged from 9.64 significant digits to a full machine double-precision, 15.65 significant digits, with the lower value occurring when a was nearly equal to b , and a was large.
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Lawrence B. Levy (1994) studied this question.
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