An algorithm to compute rotation intervals of circle maps

In this article we present an efficient algorithm to compute rotation intervals of circle maps degree one. It is based on the computation number a monotone map one with constant section. The main strength that it computes \emph{exactly} interval natural subclass continuous non-invertible maps. We also compare our other existing ones by plotting Devil's Staircase one-parameter family and Arnold Tongues some special non-differentiable families, most which were out reach algorithms centred around differentiable