A High Throughput Polynomial and Rational Function Approximations Evaluator

Nicolas Brisebarre 1, 2 George Constantinides 3 Miloš Ercegovac 4 Silviu-Ioan Filip 5 Matei Istoan 3 Jean-Michel Muller 1, 2
1 ARIC - Arithmetic and Computing
Inria Grenoble - Rhône-Alpes, LIP - Laboratoire de l'Informatique du Parallélisme
2 CNRS - Centre National de la Recherche Scientifique
3 DEEE - Department of Electrical and Electronic Engineering [London]
4 UCLA - Computer Science Department [Los Angeles]
5 CAIRN - Energy Efficient Computing ArchItectures with Embedded Reconfigurable Resources
Inria Rennes – Bretagne Atlantique , IRISA_D3 - ARCHITECTURE
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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Conference papers
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https://hal.inria.fr/hal-01774364
Contributor : Silviu-Ioan Filip <>
Submitted on : Monday, April 23, 2018 - 3:30:02 PM
Last modification on : Thursday, February 7, 2019 - 4:46:17 PM
Long-term archiving on : Wednesday, September 19, 2018 - 2:34:33 AM

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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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