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Nested loop sequences: towards efficient loop structures in automatic parallelization

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1 Author(s)
Z. Chamski ; Irisa, Rennes, France

An important problem in automatic parallelization of scientific programs is to generate loops from an algebraic description of the iteration domain. The usual technique is to produce a perfectly nested set of loops, whose bounds consist in maxima and minima of several affine functions. However, perfect loop nests suffer from the run-time overhead of evaluating bound expressions and do not allow to scan non-convex domains efficiently. We study a candidate loop structure for overcoming these problems. This structure, called nested loop sequence (NLS,) is defined as a sequence of DO loops whose bodies ore nonempty sequences of DO loops. We propose on algorithm to compute a NLS scanning a given convex polyhedron, which overcomes the run-time overhead problem. The algorithm produces a loop structure in which the bounds of every loop consist each in a single affine function.<>

Published in:

System Sciences, 1994. Proceedings of the Twenty-Seventh Hawaii International Conference on  (Volume:2 )

Date of Conference:

4-7 Jan. 1994