Parallel loop generation and scheduling

Loop tiling is an efficient loop transformation, mainly applied to detect coarse-grained parallelism in loops. It is a difficult task to apply n-dimensional non-rectangular tiles to generate parallel loops. This paper offers an efficient scheme to apply non-rectangular n-dimensional tiles in non-rectangular iteration spaces, to generate parallel loops. In order to exploit wavefront parallelism efficiently, all the tiles with equal sum of coordinates are assumed to reside on the same wavefront. Also, in order to assign parallelepiped tiles on each wavefront to different processors, an improved block scheduling strategy is offered in this paper.