## Section: Software

### Cl@k

Participants : Christophe Alias, Fabrice Baray [ Mentor, Former post-doc in Compsys ] , Alain Darte.

A few years ago, we identified new mathematical tools useful for the automatic derivation of array mappings that enable memory reuse, in particular the notions of admissible lattice and of modular allocation (linear mapping plus modulo operations). Fabrice Baray, post-doc Inria, developed a stand-alone optimization software tool in 2005-2006, called Cl@k (for Critical LAttice Kernel), that computes or approximates the critical lattice for a given 0-symmetric polytope. (An admissible lattice is a lattice whose intersection with the polytope is reduced to 0; a critical lattice is an admissible lattice with minimal determinant.) Cl@k has been plugged by Christophe Alias into Rose, a source-to-source program transformer, thanks to the development of a lifetime analyzer called Bee. Bee uses Rose, as a high-level parser, analyzes the lifetime of elements of the arrays to be compressed, and builds the necessary input for Cl@k, i.e., the 0-symmetric polytope of conflicting differences. See previous reports for more details on the underlying theory. Cl@k can be viewed as a complement to the Polylib suite, enabling yet another kind of optimizations on polyhedra. Bee is the complement of Cl@k in terms of its application to memory reuse. Bee is now a stand-alone tool that contain more and more features for program analysis and loop transformations.