Efficient Table-Based Polynomial on FPGA

Marco Barbone*, Bas W. Kwaadgras, Uwe Oelfke, Wayne Luk, Georgi Gaydadjiev

*Bijbehorende auteur voor dit werk

OnderzoeksoutputAcademicpeer review

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Samenvatting

Field Programmable Gate Arrays (FPGAs) are gaining popularity in the context of scientific computing due to the recent advances of High-Level Synthesis (HLS) toolchains for customised hardware implementations combined with the increase in computing capabilities of modern FPGAs. As a result, developers are able to implement more complex scientific workloads which often require the evaluation of univariate numerical functions. In this study, we propose a methodology for table-based polynomial interpolation aiming at producing area-efficient implementations of such functions on FPGAs achieving the same accuracy and at similar performance as direct implementations. We also provide a rigorous error analysis to guarantee the correctness of the results. Our methodology covers the forecast of resource utilisation of the polynomial interpolator and, based on the characteristics of the function, guides the developer to the most area-efficient FPGA implementation. Our experiments show that in the case of a radiation spectrum of a Black Body application based on evaluating Planck's Law, it is possible to reduce resource utilisation by up to 90% when compared to direct implementations not using table-based methods. Moreover, when only the kernels are considered, our method uses up to two orders of magnitude fewer resources with no performance penalties. Based on previous more theoretical works, our study investigates practical applications of table-based methods in the context of high performance and scientific computing where it is used to implement common but more complex functions than the elementary functions widely studied in the related literature.

Originele taal-2English
TitelProceedings - 2021 IEEE 39th International Conference on Computer Design, ICCD 2021
UitgeverijInstitute of Electrical and Electronics Engineers Inc.
Pagina's374-382
Aantal pagina's9
ISBN van elektronische versie9781665432191
DOI's
StatusPublished - 20-dec.-2021
Evenement39th IEEE International Conference on Computer Design, ICCD 2021 - Virtual, Online, United States
Duur: 24-okt.-202127-okt.-2021

Publicatie series

NaamProceedings - IEEE International Conference on Computer Design: VLSI in Computers and Processors
Volume2021-October
ISSN van geprinte versie1063-6404

Conference

Conference39th IEEE International Conference on Computer Design, ICCD 2021
Land/RegioUnited States
StadVirtual, Online
Periode24/10/202127/10/2021

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