Interprocedural Array Region Analyses

Many program optimizations require exact knowledge of the sets of array elements that are referenced in or that ow between state ments or procedures Some examples are array privatization generation of communications in distributed memory machines or compile time op timization of cache behavior in hierarchical memory machines Exact array region analysis is introduced in this article These regions exactly represent the e ects of statements and procedures upon array variables To represent the ow of these data we also introduce two new types of array region analyses IN and OUT regions The intraprocedural propagation is presented as well as a general linear framework for interprocedural analyses which handles array reshapes The intra and inter procedural propagation of array regions is imple mented in pips the interprocedural parallelizer of fortran programs developed at Ecole des mines de Paris