Abstract

In this paper we present a performance study of multidimensional Fast Fourier Transforms (FFT) with GPU accelerators on modern hybrid architectures, as those expected for upcoming exascale systems. We assess and leverage features from traditional implementations of parallel FFTs and provide an algorithm that encompasses a wide range of their parameters, and adds novel developments such as FFT grid shrinking and batched transforms. Next, we create a bandwidth model to quantify the computational costs and analyze the well-known communication bottleneck for All-to-All and Point-to-Point MPI exchanges. Then, using a tuning methodology, we are able to accelerate the FFT computation and reduce the communication cost, achieving linear scalability on a large-scale system with GPU accelerators. Finally, our performance analysis is extended to show that carefully tuning the algorithm can further accelerate applications heavily relying on FFTs, such is the case of molecular dynamics software. Our experiments were performed on Summit and Spock supercomputers with IBM Power9 cores, over 3000 NVIDIA V-100 GPUs, and AMD MI-100 GPUs.

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