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On-the-Fly Range Reduction

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Abstract

In several cases, the input argument of an elementary function evaluation is given bit-serially, most significant bit first. We suggest a solution for performing the first step of the evaluation (namely, the range reduction) on the fly: the computation is overlapped with the reception of the input bits. This algorithm can be used for the trigonometric functions sin, cos, tan as well as for the exponential function.

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Authors and Affiliations

  1. INRIA, Projet SPACES, LORIA, Campus Scientifique, B.P. 239, 54506, Vandoeuvre-lès-Nancy Cedex, France

    Vincent Lefèvre

  2. CNRS, Projet CNRS/ENS Lyon/INRIA Arenaire, Laboratoire LIP, Ecole Normale Supérieure de Lyon, 46 Allée d'Italie, 69364, Lyon Cedex 07, France

    Jean-Michel Muller

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  1. Vincent Lefèvre
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  2. Jean-Michel Muller
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Lefèvre, V., Muller, JM. On-the-Fly Range Reduction. The Journal of VLSI Signal Processing-Systems for Signal, Image, and Video Technology 33, 31–35 (2003). https://doi.org/10.1023/A:1021137717282

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  • DOI: https://doi.org/10.1023/A:1021137717282

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