Worst Case Execution Time Analysis for a Processor with Branch Prediction

The fundamental requirement for hard real-time systems is that task deadlines be never missed. As a consequence, knowing tasks worst case execution times (WCET) is crucial for such systems. Taking into account modern architectural features makes it possible to determine tighter WCET bounds than with program analysis that ignores such features. While effects of caches and pipelines on WCET analysis have been extensively studied, to our knowledge the effect of the branch prediction on WCET evaluation has not been studied yet. This paper describes a method for statically bounding the number of timing penalties due to erroneous branch predictions. The proposed method is based on static program analysis and branch target buffer modelling. It consists in collecting information on branch target buffer evolution by considering all possible execution paths of a program. Collected information can then be used to classify control transfer instructions so that their worst case branching cost can be estimated and incorporated into the program WCET. A method is also given to tightly predict the WCET of loops whose number of iterations depend on counter variables of outer loops. Experimental results show that the timing penalty due to wrong branch predictions estimated by the proposed technique is close to the real one, which demonstrates the practical applicability of our method.