Communication set generation significantly influences the performance of parallel programs. However, seldom works gives attention to the communication generation problem for irregular applications. In this paper, we will explain how support to generate communication set for irregular array references in loops. We propose a compile-time algorithm by introducing some symbolic analysis techniques....

A Hamiltonian is proposed to describe the coupling between vibration and rotation in a molecular system. The time behaviour of such a system exhibits both regular and irregular motion for different energies and different values of the coupling parameter. There is a dramatic manifestation of the transition between the two types of dynamics that define parametric regions of regular and irregular ...

In this paper, we develop a unified theory in analyzing optimal switch box design problems, particularly for the unsolved irregular cases, where different pin counts are allowed on different sides. The results drawn from our system of linear Diophantine equations based formulation turn out to be general. We prove that the divideand-conquer (reduction) design methodology can also be applied to t...