Range Reduction

Jean‐Michel Muller · Birkhäuser Boston eBooks · 1997

The 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 f ( x ) for any x , one must find some “transformation” that makes it possible to deduce f ( x ) from some value g ( x *), where x *, called the reduced argument , is deduced from x ; x * belongs to the convergence domain of the algorithm implemented for the evaluation of g . These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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