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Range-reduction is a key point for getting accurate elementary function routines. We introduce a new algorithm that is fast for input arguments belonging to the most common domains, yet accurate over the full double-precision range.
Range-reduction, elementary function evaluation, floating-point arithmetic.
Nicolas Brisebarre, Peter Kornerup, David Defour, Nathalie Revol, Jean-Michel Muller, "A New Range-Reduction Algorithm", IEEE Transactions on Computers, vol. 54, no. , pp. 331-339, March 2005, doi:10.1109/TC.2005.36
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