A New Combination Method for Improving Parallelism in Two and Three Level Perfect Nested Loops

The growth of software techniques for implementing applications must go hand in hand with the growth of computer system hardware in the design of multi-core and multi-processor systems; otherwise, we cannot expect to be able to use maximum hardware capacities. One of the most important and challenging techniques for running applications is to run them in parallel with a focus on loop parallelism to reduce execution time. On the other hand, in recent years, many algorithms have been working on volumetric data, i.e., three-dimensional spaces; therefore, parallelization must be possible for all types of two-dimensional and three-dimensional loops. Uniformization is an important part of loop parallelism, and also the present paper’s focus. The proposed algorithm in the present paper performed uniformization with a combination of the frog leaping algorithm and the fuzzy system for two- and three-dimensional loops on a wide range of input dependence vectors and achieved a considerable variety of results in the desired time. The results of this study can be used to facilitate the development of parallel codes.