论文标题

使用Dirac-Wilson操作员作为基于FPGA的平台的共轭梯度算法的优化实现

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

论文作者

Korcyl, G., Korcyl, P.

论文摘要

现在,高性能计算的一个明显趋势是,系统变得越来越异质。带有主机CPU的计算节点配备了加速器,后者是GPU或FPGA卡或两者兼而有之。在许多情况下,在此类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,其中包括使用Dirac-Wilson运算符的特定问题对偶联梯度算法的FPGA实现,这是量子染色体动力学的数值模拟中遇到的。该软件用OpenCL和C ++编写,并为最大性能而进行了优化。我们的框架允许简单地实现其他线性运算符,同时保持数据传输机制不变。因此,我们的软件可以用作许多应用程序的骨干,这些应用程序有望获得FPGA加速器的重大增强因素。由于这种系统有望变得越来越普遍,因此对共轭梯度算法的高度性能FPGA实施的需求肯定会增加,并且随附的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.

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