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Deriving good transformations for mapping nested loops on hierarchical parallel machines in polynomial time


Author(s) : A Basu D Kulkarni K G Kumar, 
Publisher : N/A
Publication Date : 1992
ISSN : N/A
Abstract : We present a computationally efficient method for deriving the most appropriate transformation and mapping of a nested loop for a given hierarchical parallel machine. This method is in the context of our systematic and general theory of unimodular loop transformations for the problem of iteration space partitioning [7]. Finding an optimal mapping or an optimal associated unimodular transformation is NP-complete. We present a polynomial time method for obtaining a `good ' transformation using a simple parameterized model of the hierarchical machine. We outline a systematic methodology for obtaining the most appropriate mapping. 1,