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Tiling arbitrarily nested loops by means of the transitive closure of dependence graphs

Włodzimierz BieleckiMarek Pałkowski — 2016

International Journal of Applied Mathematics and Computer Science

A novel approach to generation of tiled code for arbitrarily nested loops is presented. It is derived via a combination of the polyhedral and iteration space slicing frameworks. Instead of program transformations represented by a set of affine functions, one for each statement, it uses the transitive closure of a loop nest dependence graph to carry out corrections of original rectangular tiles so that all dependences of the original loop nest are preserved under the lexicographic order of target...

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