Loop distribution and fusion with timing and code size optimization for embedded dsps

Abstract. Loop distribution and loop fusion are two effective loop transformation techniques to optimize the execution of the programs in DSP applications. In this paper, we propose a new technique combining loop distribution with direct loop fusion, which will improve the timing performance without jeopardizing the code size. We first develop the loop distribution theorems that state the legality conditions of loop distribution for multi-level nested loops. We show that if the summation of the edge weights of the dependence cycle satisfies a certain condition, then the statements involved in the dependence cycle can be distributed; otherwise, they should be put in the same loop after loop distribution. Then, we propose the technique of maximum loop distribution with direct loop fusion. The experimental results show that the execution time of the transformed loops by our technique is reduced 21.0% on average compared to the original loops and the code size of the transformed loops is reduced 7.0% on average compared to the original loops

Loop Distribution and Fusion with Timing and Code Size Optimization for Embedded DSPs

International Conference on Embedded and Ubiquitous Computing (EUC 2005), Nagasaki, Japan,6-9 Dec 2005Loop distribution and loop fusion are two e.ective loop transformation techniques to optimize the execution of the programs in DSP applications. In this paper, we propose a new technique combining loop distribution with direct loop fusion, which will improve the timing performance without jeopardizing the code size. We .rst develop the loop distribution theorems that state the legality conditions of loop distribution for multi-level nested loops. We show that if the summation of the edge weights of the dependence cycle satis.es a certain condition, then the statements involved in the dependence cycle can be distributed; otherwise, they should be put in the same loop after loop distribution. Then, we propose the technique of maximum loop distribution with direct loop fusion. The experimental results show that the execution time of the transformed loops by our technique is reduced 21.0compared to the original loops and the code size of the transformed loops is reduced 7.0% on average compared to the original loops.Department of Computin

General loop fusion technique for nested loops considering timing and code size

Loop fusion is commonly used to improve the instructionlevel parallelism of loops for high-performance embedded computing systems. Loop fusion, however, is not always directly applicable because the fusion prevention dependencies may exist among loops. Most of the existing techniques still have limitations in fully exploiting the advantages of loop fusion. In this paper, we present a general loop fusion technique for loops or nested loops based on the loop dependency graph model, retiming, and multi-dimensional retiming concepts. We show that any “J+K ” model loop can be legally fused using our legalizing fusion technique. Polynomial-time algorithms are developed to solve the loop fusion problem for “J+K ” model loops considering both timing and code size of the final code. Our technique produces the final code and calculates the resultant code size directly from the retiming values. The experimental results show that our loop fusion technique always significantly reduces the schedule length