Abstract
Loop parallelization is an important optimization issue in the execution of scientific programs. This paper proposes loop transformation techniques for finding parallel regions within nested loops with non-uniform dependences in order to improve parallelism. By parallelizing anti dependence region using variable renaming, there remains only flow dependence in the loop. We then divide the iteration space into FDT (Flow Dependence Tail set) and FDH (Flow Dependence Head set). By two given equations, we show how to determine whether the intersection of FDT and FDH is empty or not. So, we can find two parallel regions for doubly nested loops with non-uniform dependences. In the case that FDT does not overlap FDH, we will divide the iteration space into two parallel regions by a line.
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References
Kuck, D., Sameh, A., Cytron, R., Polychronopoulos, A., Lee, G., McDaniel, T., Leasure, B., Beckman, C., Davies, J., Kruskal, C.: The effects of program restructuring, algorithm change and architecture choice on program performance. In: Proceedings of the 1984 International Conference on Parallel Processing, August 1984, pp. 129–138 (1984)
Cho, C.K., Lee, M.H.: A loop parallization method for nested loops with non-uniform dependences. In: Proceedings of the International Conference on Parallel and Distributed Systems, December 10-13, pp. 314–321 (1997)
Ju, J., Chaudhary, V.: Unique sets oriented partitioning of nested loops with non-uniform dependences. In: Proceedings of International Conference on Parallel Processing, vol. III, pp. 45–52 (1996)
Punyamurtula, S., Chaudhary, V.: Minimum dependence distance tiling of nested loops with non-uniform dependences. In: Proceedings of Symposium on Parallel and Distributed Processing, pp. 74–81 (1994)
Punyamurtula, S., Chaudhary, V., Ju, J., Roy, S.: Compile time partitioning of nested loop iteration spaces with non-uniform dependences. Journal of Parallel Algorithms and Applications (October 1996)
Tzen, T., Ni, L.: Dependence uniformization: A loop parallelization technique. IEEE Transactions on Parallel and Distributed Systems 4(5), 547–558 (1993)
Wolfe, M., Tseng, C.W.: The power test for data dependence. IEEE Transactions on Parallel and Distributed Systems 3(5), 591–601 (1992)
Zaafrani, A., Ito, M.R.: Parallel region execution of loops with irregular dependences. In: Proceedings of the International Conference on Parallel Processing, vol. II, pp. 11–19 (1994)
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© 2005 Springer-Verlag Berlin Heidelberg
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Jeong, S.J., Han, J.S. (2005). A Loop Transformation Using Two Parallel Region Partitioning Method. In: Cao, J., Nejdl, W., Xu, M. (eds) Advanced Parallel Processing Technologies. APPT 2005. Lecture Notes in Computer Science, vol 3756. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11573937_5
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DOI: https://doi.org/10.1007/11573937_5
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-29639-3
Online ISBN: 978-3-540-32107-1
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