Title: A multi-dimensional Interval Reduction test

Authors: Jia-Hwa Wu, Chih-Ping Chu

Addresses: Department of Computer Science and Information Engineering, National Cheng Kung University, Tainan, Taiwan 701, ROC. ' Department of Computer Science and Information Engineering, National Cheng Kung University, Tainan, Taiwan 701, ROC

Abstract: Two-dimensional arrays occur quite frequently in real programmes. In general, for multi-dimensional arrays under constant bounds, the Lambda test is an efficient data dependence method to check whether there exist real solutions. In this paper, we propose a multi-dimensional Interval Reduction (IR) test. The multi-dimensional IR test can be applied towards testing whether there are integer solutions for multi-dimensional arrays under constant limits, increasing the testing precision and exploiting the degree of loop parallelisation and vectorisation. Experiments with benchmarks showing the effects of the multi-dimensional IR test are also presented.

Keywords: parallelising compilers; data dependence analysis; loop parallelisation; vectorisation; high performance computing; interval reduction tests; multi-dimensional arrays.

DOI: 10.1504/IJHPCN.2006.013488

International Journal of High Performance Computing and Networking, 2006 Vol.4 No.5/6, pp.331 - 337

Available online: 01 May 2007 *

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