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On fixed-point hardware polynomials

Florent de Dinechin 1, 2
1 SOCRATE - Software and Cognitive radio for telecommunications
CITI - CITI Centre of Innovation in Telecommunications and Integration of services, Inria Grenoble - Rhône-Alpes
Abstract : Polynomial approximation is a general technique for the evaluation of numerical functions of one variable. This article addresses the automatic construction of fixed-point hardware polynomial evaluators. By systematically trying to balance the accuracy of all the steps that lead to an architecture, it simplifies and improves the previous body of work covering polynomial approximation, polynomial evaluation, and range reduction. This work is supported by an open-source implementation.
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Contributor : Florent de Dinechin <>
Submitted on : Monday, October 12, 2015 - 11:01:18 PM
Last modification on : Tuesday, December 8, 2020 - 9:39:08 AM
Long-term archiving on: : Thursday, April 27, 2017 - 12:04:51 AM


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  • HAL Id : hal-01214739, version 1



Florent de Dinechin. On fixed-point hardware polynomials. 2015. ⟨hal-01214739⟩



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