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Conference Papers Year : 2018

A High Throughput Polynomial and Rational Function Approximations Evaluator

Abstract

We present an automatic method for the evaluation of functions via polynomial or rational approximations and its hardware implementation, on FPGAs. These approximations are evaluated using Ercegovac's iterative E-method adapted for FPGA implementation. The polynomial and rational function coefficients are optimized such that they satisfy the constraints of the E-method. We present several examples of practical interest; in each case a resource-efficient approximation is proposed and comparisons are made with alternative approaches.
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Dates and versions

hal-01774364 , version 1 (23-04-2018)

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Nicolas Brisebarre, George Constantinides, Miloš Ercegovac, Silviu-Ioan Filip, Matei Istoan, et al.. A High Throughput Polynomial and Rational Function Approximations Evaluator. ARITH 2018 - 25th IEEE Symposium on Computer Arithmetic, Jun 2018, Amherst, MA, United States. pp.99-106, ⟨10.1109/ARITH.2018.8464778⟩. ⟨hal-01774364⟩
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