The Wigner distribution function (WDF) has been used as a tool in wave optics for more than forty years. It is desirable to numerically simulate the WDF for a variety of situations; we argue that the reasons this is not more commonly done are the difficulty in defining the discrete transform appropriately and the size of the computation. In this paper, we examine a number of software packages freely available online, each purporting to calculate the WDF. We present results on their speed and accuracy. Optical engineers desiring to make use of the WDF in optical analysis and design will find our results useful in choosing which package to use in their simulations. Â© 2014 SPIE.