Optimal Loop Parallelization for Maximizing Iteration-Level Parallelism

Provided by: Association for Computing Machinery
Topic: Hardware
Format: PDF
In this paper, the authors solve the open problem of extracting the maximal number of iterations from a loop that can be executed in parallel on Chip Multi-Processors (CMPs). Their algorithm solves it optimally by migrating the weights of parallelism-inhibiting dependences on dependence cycles in two phases. They model dependence migration with retiming and formulate this classic loop parallelization into a graph optimization problem, i.e., one of finding retiming values for its nodes so that the minimum non-zero edge weight in the graph is maximized.

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