Automatic Transformations for Communication-Minimized Parallelization and Locality Optimization in the Polyhedral Model

The polyhedral model provides powerful abstractions to optimize loop nests with regular accesses. Affine transformations in this model capture a complex sequence of execution-reordering loop transformations that can improve performance by parallelization as well as locality enhancement. Although a significant body of research has addressed affine scheduling and partitioning, the problem of automatically finding good affine transforms for communication-optimized coarse-grained parallelization together with locality optimization for the general case of arbitrarily-nested loop sequences remains a challenging problem. We propose an automatic transformation framework to optimize arbitrarilynested loop sequences with affine dependences for parallelism and locality simultaneously. The approach finds good tiling hyperplanes by embedding a powerful and versatile cost function into an Integer Linear Programming formulation. These tiling hyperplanes are used for communication-minimized coarse-gra...

• Type: Conference
• Year: 2008
• Where: CC
• Authors: Uday Bondhugula, Muthu Manikandan Baskaran, Sriram Krishnamoorthy, J. Ramanujam, Atanas Rountev, P. Sadayappan
• Keywords: CC 2008, Coarse-grained Parallelization, Locality Optimization, Loop Sequences, System Software