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Optimal usage of the memory system is a key element of fast GPU algorithms.Unfortunately many common algorithms fail in this regard despite exhibitinggreat regularity in memory access patterns. In this paper we propose efficientkernels to permute the elements of an array. We handle a class of permutationsknown as Bit Matrix Multiply Complement (BMMC) permutations, for which wedesign kernels of speed comparable to that of a simple array copy. This is afirst step towards implementing a set of array combinators based on thesepermutations.

Efficient GPU Implementation of Affine Index Permutations on Arrays