Algorithms need to be tested for speed and accuracy. We will probably end up using different algorithms for different sorts of curves.

• "vertical lines" algorithm Unfinished, needs work on vertical asymptotes and vertical points

• parameterize curve and use the existing algorithm in DrawParametricCurve

• GCalc's algorithm In Java, so should be straightforward to implement Works with non-polynomial functions

• 2D Grapher's algorithm

• A Non-uniform Binary Space Partition Algorithm for 2D Implicit Curves NB Intersection with cubics and quartics already implemented, see AlgoIntersectLineCubic

• Quadtree-BasedImplicitCurve (Implicit Curves and Surfaces: Mathematics, Data Structures, and Algorithms) Algorithm won't cope with closed loops?