Optimized implementation of the conjugate gradient algorithm for FPGA-based platforms using the Dirac-Wilson operator as an example

Optimized implementation of the conjugate gradient algorithm for FPGA-based platforms using the Dirac-Wilson operator as an example
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基于 FPGA 平台的共轭梯度算法的优化实现(以 Dirac-Wilson 算子为例)

DOI:
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发表时间:
2020
期刊:
ArXiv
影响因子:
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通讯作者:
P. Korcyl
P. Korcyl
中科院分区:
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文献类型:
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作者:
G. Korcyl;P. Korcyl

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系统的异构化是当前高性能计算领域的一个显著趋势。具有主机CPU的计算节点配备有加速器,后者是GPU或FPGA卡或两者。在许多情况下,在这样的系统上运行的科学应用的核心是迭代线性求解器。在这项工作中,我们提出了一个软件包,其中包括一个FPGA实现的共轭梯度算法,使用一个特定的问题的Dirac-Wilson算子中遇到的量子色动力学的数值模拟。该软件是用OpenCL和C++编写的,并针对最大性能进行了优化。我们的框架允许其他线性算子的简单实现,同时保持数据传输机制不变。因此,我们的软件可以作为许多应用的骨干,这些应用有望在FPGA加速器上获得显着的提升因子。随着此类系统的应用越来越广泛,对共轭梯度算法及其变体的高性能FPGA实现的需求肯定会增加,并且所附代码可以极大地促进移植投资。
It is now a noticeable trend in High Performance Computing that the systems are becoming more and more heterogeneous. Compute nodes with a host CPU are being equipped with accelerators, the latter being a GPU or FPGA cards or both. In many cases at the heart of scientific applications running on such systems are iterative linear solvers. In this work we present a software package which includes an FPGA implementation of the Conjugate Gradient algorithm using a particular problem of the Dirac-Wilson operator as encountered in numerical simulations of Quantum Chromodynamics. The software is written in OpenCL and C++ and is optimized for maximal performance. Our framework allows for a simple implementation of other linear operators, while keeping the data transport mechanisms unaltered. Hence, our software can serve as a backbone for many applications which are expected to gain a significant boost factor on FPGA accelerators. As such systems are expected to become more and more widespread, the need for highly performant FPGA implementations of the Conjugate Gradient algorithm and its variants will certainly increase and the porting investment can be greatly facilitated by the attached code.