A synthesis method of LSGP partitioning for given-shape regular arrays

This paper presents a method to partition and map a computational polytope onto processor arrays. Based on the theoretical framework of an existing LSGP method, a systematic design procedure is proposed which constructs an activity matrix, proposed by Darte, according to the shapes of the computational polytope and the processor array and derives a valid timing vector. By this method the given-shape mapping can be achieved with neither difficulty nor exhausted computations by removing the need to compute HNFs