Titlebook: Elementary Functions:; Algorithms and Imple Jean-Michel Muller Book 19971st edition Birkh?user Boston 1997 algorithms.computer.computer sci

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Range ReductionThe algorithms presented in the previous chapters for evaluating the elementary functions only give a correct result if the argument is within a given bounded interval. To evaluate an elementary function .(.) for any ., one must find some “transformation” that makes it possible to deduce .(.) from some value .(.*), where

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Life-Cycle Assessment of Semiconductorsg delays of computation, and this may also make the numerical error control difficult. A natural way to deal with this problem is to split the interval where the function is to be approximated into several smaller subintervals. It suffices to store in a table, for each subinterval, the coefficients

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Acute Generalized Exanthematous Pustulosisute sine, cosine, and arctangent functions) and to multiply or divide numbers using only shift-and-add elementary steps. In 1971, Walther [194] generalized this algorithm to compute logarithms, exponentials, and square roots. CORDIC is not the fastest way to perform multiplications or to compute log

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