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swSpTRSV: a fast sparse triangular solve with sparse level tile layout on sunway architectures

Published: 10 February 2018 Publication History

Abstract

Sparse triangular solve (SpTRSV) is one of the most important kernels in many real-world applications. Currently, much research on parallel SpTRSV focuses on level-set construction for reducing the number of inter-level synchronizations. However, the out-of-control data reuse and high cost for global memory or shared cache access in inter-level synchronization have been largely neglected in existing work.
In this paper, we propose a novel data layout called Sparse Level Tile to make all data reuse under control, and design a Producer-Consumer pairing method to make any inter-level synchronization only happen in very fast register communication. We implement our data layout and algorithms on an SW26010 many-core processor, which is the main building-block of the current world fastest supercomputer Sunway Taihulight. The experimental results of testing all 2057 square matrices from the Florida Matrix Collection show that our method achieves an average speedup of 6.9 and the best speedup of 38.5 over parallel level-set method. Our method also outperforms the latest methods on a KNC many-core processor in 1856 matrices and the latest methods on a K80 GPU in 1672 matrices, respectively.

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Cited By

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  • (2023)TileSpTRSV: a tiled algorithm for parallel sparse triangular solve on GPUsCCF Transactions on High Performance Computing10.1007/s42514-023-00151-15:2(129-143)Online publication date: 12-Jun-2023
  • (2023)Building a domain-specific compiler for emerging processors with a reusable approachScience China Information Sciences10.1007/s11432-022-3727-667:1Online publication date: 27-Dec-2023
  • (2021)YuenyeungSpTRSV: A Thread-Level and Warp-Level Fusion Synchronization-Free Sparse Triangular SolveIEEE Transactions on Parallel and Distributed Systems10.1109/TPDS.2021.306663532:9(2321-2337)Online publication date: 1-Sep-2021
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    Published In

    cover image ACM SIGPLAN Notices
    ACM SIGPLAN Notices  Volume 53, Issue 1
    PPoPP '18
    January 2018
    426 pages
    ISSN:0362-1340
    EISSN:1558-1160
    DOI:10.1145/3200691
    Issue’s Table of Contents
    • cover image ACM Conferences
      PPoPP '18: Proceedings of the 23rd ACM SIGPLAN Symposium on Principles and Practice of Parallel Programming
      February 2018
      442 pages
      ISBN:9781450349826
      DOI:10.1145/3178487
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    Publication History

    Published: 10 February 2018
    Published in SIGPLAN Volume 53, Issue 1

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    1. sparse level tile
    2. sparse matrix
    3. sparse triangular solve
    4. sunway architecture

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    Funding Sources

    • National Key R&D Program of China
    • National Natural Science Foundation of China
    • European Union's Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie project

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    • (2023)TileSpTRSV: a tiled algorithm for parallel sparse triangular solve on GPUsCCF Transactions on High Performance Computing10.1007/s42514-023-00151-15:2(129-143)Online publication date: 12-Jun-2023
    • (2023)Building a domain-specific compiler for emerging processors with a reusable approachScience China Information Sciences10.1007/s11432-022-3727-667:1Online publication date: 27-Dec-2023
    • (2021)YuenyeungSpTRSV: A Thread-Level and Warp-Level Fusion Synchronization-Free Sparse Triangular SolveIEEE Transactions on Parallel and Distributed Systems10.1109/TPDS.2021.306663532:9(2321-2337)Online publication date: 1-Sep-2021
    • (2021)FMapper: Scalable Read Mapper based on Succinct Hash Index on SunWay TaihuLightJournal of Parallel and Distributed Computing10.1016/j.jpdc.2021.11.004Online publication date: Nov-2021
    • (2021)Machine learning for optimal selection of sparse triangular system solvers on GPUsJournal of Parallel and Distributed Computing10.1016/j.jpdc.2021.07.013158:C(47-55)Online publication date: 1-Dec-2021
    • (2021)Towards efficient canonical polyadic decomposition on sunway many-core processorInformation Sciences10.1016/j.ins.2020.11.013549(221-248)Online publication date: Mar-2021
    • (2020)Adaptive Level BinningProceedings of the International Conference on High Performance Computing in Asia-Pacific Region10.1145/3368474.3368486(188-198)Online publication date: 15-Jan-2020
    • (2020)Accelerating Sparse Cholesky Factorization on Sunway Manycore ArchitectureIEEE Transactions on Parallel and Distributed Systems10.1109/TPDS.2019.295385231:7(1636-1650)Online publication date: 3-Mar-2020
    • (2020)A parallel sparse triangular solve algorithm based on dependency elimination of the solution vectorCluster Computing10.1007/s10586-020-03188-xOnline publication date: 3-Oct-2020
    • (2020)swRodinia: A Benchmark Suite for Exploiting Architecture Properties of Sunway ProcessorBenchmarking, Measuring, and Optimizing10.1007/978-3-030-71058-3_2(22-38)Online publication date: 15-Nov-2020
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