Modulo-variable expansion sensitive scheduling

Modulo scheduling is an aggressive scheduling technique for loops that exploit instruction-level parallelism by overlapping successive iterations of the loop. Due to the nature of modulo scheduling, the lifetime of a variable can overlap with a subsequent definition of itself. To handle such overlapping lifetimes, modulo-variable expansion (MVE) is used, wherein the constructed schedule is unrolled a number of times. We propose a technique to improve the constructed schedule while performing MVE. In our approach, we unroll the data dependence graph of the original loop and re-schedule it with a MVE-sensitive scheduler. Such an approach is expected to result in better initiation rates as compared to the traditional approach. We have implemented our approach and evaluated its performance on a large number of scientific benchmark kernels.