Blocking and array contraction across arbitrarily nested loops using affine partitioning

SIGPLAN Notices (ACM Special Interest Group on Programming Languages)

Volumn 36, Issue 7, 2001, Pages 103-112

  Lim, Amy W ^a   Liao, Shih Wei ^a,b   Lam, Monica S ^a  

^a STANFORD UNIVERSITY   (United States)

^b INTEL RESEARCH   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 17644395320     PISSN: 03621340     EISSN: None     Source Type: Journal    
DOI: 10.1145/568014.379586     Document Type: Article

References (24)

1. N. Ahmed, N. Mateev, and K. Pingali. Synthesizing transformations for locality enhancement of imperfectly-nested loop nests. In Proceedings of the 2000 ACM International Conference on Supercomputing, pages 141-152, May 2000.
2. N. Ahmed, N. Mateev, and K. Pingali. Tiling imperfectly-nested loop nests. In Proceedings of Supercomputing 2000, November 2000.
3. G. Aigner, A. Diwan, D. L. Heine, M. S. Lam, D. L. Moore, B. R. Murphy, and C. Sapuntzakis. An overview of the SUIF2 compiler infrastructure. Technical report, Stanford University, 2000.
4. D. Bacon, S. Graham, and O. Sharp. Compiler transformations for high-performance computing. Computing Surveys, 26(4):345-420, December 1994.
5. D. Bailey and J. Barton. The NAS kernel benchmark program. Technical Report 86711, NASA, 1985.
6. S. Carr, K. S. McKinley, and C.-W. Tseng. Compiler optimizations for improving data locality. In Proceedings of the Sixth International Conference on Architectural Support for Programming Languages and Operating Systems, pages 252-262, October 1994.
7. P. Feautrier. Some efficient solutions to the affine scheduling problem, part I, one dimensional time. International Journal of Parallel Programming, 21(5):313-348, October 1992.
8. G. R. Gao, R. Olsen, V. Sarkar, and R. Thekkath. Collective loop fusion for array contraction. In Proceedings of the Fifth Workshop on Languages and Compilers for Parallel Computing, pages 171-181, August 1992.
9. G. H. Golub and C. F. Van Loan. Matrix Computations - 2nd Edition. The John Hopkins University Press, Baltimore, Maryland, 1989.
10. A. Jameson. Solution of the Euler equations by a multigrid method. Applied Mathematics and Computation, 13:327-356, 1983.
11. K. Kennedy and K. S. McKinley. Optimizing for parallelism and data locality. In Proceedings of the 1992 ACM International Conference on Supercomputing, pages 323-334, July 1992.
12. K. Kennedy and K. S. McKinley. Maximizing loop parallelism and improving data locality via loop fusion and distribution. In Proceedings of the Sixth Workshop on Languages and Compilers for Parallel Computing, pages 301-320. Springer-Verlag, August 1993.
13. I. Kodukula, N. Ahmed, and K. Pingali. Data-centric multi-level blocking. In Proceedings of the ACM SIGPLAN '97 Conference on Programming Language Design and Implementation, pages 346-357, June 1997.
14. E. C. Lewis, C. Lin, and L. Snyder. The implementation and evaluation of fusion and array contraction in array languages. In Proceedings of the ACM SIGPLAN '98 Conference on Programming Language Design and Implementation, pages 50-59, June 1998.
15. S.-W. Liao. SUIF Explorer: an Interactive and Interprocedural Paralllelizer. PhD thesis, Stanford University, August 2000. Published as CSL-TR-00-807.
16. A. W. Lim, G. I. Cheong, and M. S. Lam. An affine partitioning algorithm to maximize parallelism and minimize communication. In Proceedings of the 13th ACM SIGARCH International Conference on Supercomputing, Rhodes, Greece, June 1999.
17. A. W. Lim and M. S. Lam. Maximizing parallelism and minimizing synchronization with affine transforms. In Conference Record of the 24th ACM SIGPLAN-SIGACT Symposium on Principles of Programming Languages, Paris, France, January 1997.
18. A. W. Lim and M. S. Lam. Maximizing parallelism and minimizing synchronization with affine partitions. Parallel Computing, 24(3-4):445-475, May 1998.
19. W. Pugh and E. Rosser. Iteration space slicing for locality. In Proceedings of the Twelfth Workshop on Languages and Compilers for Parallel Computing. Springer-Verlag, August 1999.
20. V. Sarkar and G. R. Gao. Optimization of array accesses by collective loop transformations. In Proceedings of the 1991 ACM International Conference on Supercomputing, pages 194-204, June 1991.
21. A. Schrijver. Theory of Linear and Integer Programming. Wiley, Chichester, 1986.
22. M. E. Wolf. Improving Locality and Parallelism in Nested Loops. PhD thesis, Stanford University, August 1992. Published as CSL-TR-92-538.
23. M. E. Wolf and M. S. Lam. A data locality optimizing algorithm. In Proceedings of the ACM SIGPLAN '91 Conference on Programming Language Design and Implementation, pages 30-44, June 1991.
24. M. Wolfe. High Performance Compilers for Parallel Computing. Addison-Wesley Publishing Company, 1995.