The word spigot indicates that the "digits" (generally in a widened meaning) of the result number are extracted successively from left to right (as if pumped through a spigot) by using only integer arithmetic, as opposed to the iterative approach, where the result number as the whole is improved after each iteration step by using (high-precision) floating-point arithmetic. The approach of spigot computing as used in papers by S. Kamal Abdaly (Comm. ACM 13(1970)), S. Rabinowitz and S. Wagon (American Mathematical Monthly 102(3) (1995)), A. H. J. Sale (Comput. J. 11(1968)) is now systematized and correctness is formally proved; the way for achieving an arbitrary accuracy is shown.
Reliable Computing – Springer Journals
Published: Oct 3, 2004
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