The direction vector I test

The GCD and Banerjee tests are the standard data dependence tests used to determine whether a loop may be parallelized/vectorized. In an earlier work, (1991) the authors presented a new data dependence test, the I test, which extends the accuracy of the GCD and the Banerjee tests. In the original presentation, only the case of general dependence was considered, i.e., the case of dependence with a direction vector of the form (*,*,...,*). In the present work, the authors generalize the I test to check for data dependence subject to an arbitrary direction vector