Hardwired polynomial evaluation |
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Affiliation: | CNRS, Laboratoire TIM3, Institut National Polytechnique de Grenoble, 46 Avenue Felix Viallet, 38031 Grenoble Cedex, France;Department of Mathematics, Technion – Israel Institute of Technology, Haifa 3200003, Israel |
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Abstract: | This paper is devoted to the evaluation of polynomials and elementary functions by special-purpose circuits. First we recall the basic results concerning the approximation of mathematical functions by polynomials (these results enable us to compute every continuous function if we are able to compute polynomials); then we describe a simple operator, suitable for VLSI implementation, which evaluates a polynomial in the range [0, 1]. Finally, we give some complexity results about the evaluation of the most usual elementary functions with our operator. |
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