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Brief announcement: locality-enhancing loop transformations for tree traversal algorithms

Published: 04 June 2011 Publication History

Abstract

In this paper, we discuss transformations that can be applied to irregular programs that perform tree traversals, which can be seen as analogs of the popular regular transformations of loop tiling. We demonstrate the utility of these transformations on two tree traversal algorithms, the Barnes-Hut algorithm and raytracing, achieving speedups of up to 237% over the baseline implementation.

References

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M. Amor, F. Argüello, J. López, O. G. Plata, and E. L. Zapata. A data parallel formulation of the barnes-hut method for n-body simulations. In Proceedings of the 5th International Workshop on Applied Parallel Computing, New Paradigms for HPC in Industry and Academia, PARA '00, pages 342--349, London, UK, 2001. Springer-Verlag.
[2]
J. Barnes and P. Hut. A hierarchical o(n log n) force-calculation algorithm. Nature, 324(4):446--449, December 1986.
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A. G. Gray and A. W. Moore. N-Body Problems in Statistical Learning. In T. K. Leen, T. G. Dietterich, and V. Tresp, editors, Advances in Neural Information Processing Systems (NIPS) 13 (Dec 2000). MIT Press, 2001.
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Y. Jo and M. Kulkarni. Locality-enhancing loop transformations for parallel tree traversal algorithms. Technical Report TR-ECE-11-03, School of Electrial and Computer Engineering, Purdue University, February 2011.
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J. P. Singh, C. Holt, T. Totsuka, A. Gupta, and J. Hennessy. Load balancing and data locality in adaptive hierarchical n-body methods: Barnes-hut, fast multipole, and radiosity. J. Parallel Distrib. Comput., 27(2):118--141, 1995.
[6]
I. Wald. On fast construction of sah-based bounding volume hierarchies. In RT '07: Proceedings of the 2007 IEEE Symposium on Interactive Ray Tracing, pages 33--40, Washington, DC, USA, 2007. IEEE Computer Society.
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B. Walter, S. Fernandez, A. Arbree, K. Bala, M. Donikian, and D. Greenberg. Lightcuts: a scalable approach to illumination. ACM Transactions on Graphics (SIGGRAPH), 24(3):1098--1107, July 2005.

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    cover image ACM Conferences
    SPAA '11: Proceedings of the twenty-third annual ACM symposium on Parallelism in algorithms and architectures
    June 2011
    404 pages
    ISBN:9781450307437
    DOI:10.1145/1989493

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    New York, NY, United States

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    Published: 04 June 2011

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    Author Tags

    1. irregular programs
    2. locality transformations
    3. n-body codes

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    Overall Acceptance Rate 447 of 1,461 submissions, 31%

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