Tile communication operator

A high level programming language provides a tile communication operator that decomposes a computational space into sub-spaces (i.e., tiles) that may be mapped to execution structures (e.g., thread groups) of data parallel compute nodes. An indexable type with a rank and element type defines the computational space. For an input indexable type, the tile communication operator produces an output indexable type with the same rank as the input indexable type and an element type that is a tile of the input indexable type. The output indexable type provides a local view structure of the computational space that enables coalescing of global memory accesses in a data parallel compute node.