Algorithm 785: A software package for computing Schwarz-Christoffel conformal transformation for doubly connected polygonal regions

A software package implementing Schwarz-Christoffel Conformal transformatio n (or mapping) of doubly connected polygonal regions is fully described in this article from mathematical, numerical, and practical perspectives. The package solves the so-called accessory parameter problem associated with th e mapping function as well as evaluates forward and inverse maps. The robus tness of the package is reflected by the flexibility in choosing the accura cy of the parameters to be computed, the speed of computation, the ability of mapping "difficult" regions (to be specified in Section 2), and being us er friendly. Several examples are presented to demonstrate the capabilities of the package.