On minimizing materializations of array-valued temporaries

Daniel J. Rosenkrantz, Lenore M. R. Mullin, Harry B. Hunt III

Abstract: We consider the analysis and optimization of code utilizing operations and functions operating on entire arrays. Models are developed for studying the minimization of the number of materializations of array-valued temporaries in basic blocks, each consisting of a sequence of assignment statements involving array-valued variables. We derive lower bounds on the number of materializations required, and develop several algorithms minimizing the number of materializations, subject to a simple constraint on allowable statement rearrangement. In contrast, we also show that when statement rearrangement is unconstrained, minimizing the number of materializations becomes NP-complete, even for very simple basic blocks.