This ticket rewrites complex_plot to accept an optional matplotlib-compatible colormap and optional arguments that change the domain coloring to include "contours". I've been using this code in https://github.com/davidlowryduda/phase_mag_plot, and a (slower, older) variant of this code were used in my paper https://arxiv.org/abs/2002.05234.

Typical usage would go like

sage: complex_plot(lambda x: x^2 - x + 2, (-10, 10), (-10, 10), aspect_ratio=1
                   cmap='viridis')

To include magnitude-based contours, one would write something like

sage: complex_plot(lambda x: x^2 - x + 2, (-10, 10), (-10, 10),
                   contoured=True)

This also includes the domain coloring tiling patterns from
Wegert and Semmler, Phase plots of complex func-
tions: a journey in illustration (Notices AMS 2010). This would be written like

sage: complex_plot(lambda x: x^2 - x + 2, (-10, 10), (-10, 10),
                   tiled=True)

Colormaps and contours can be combined or used separately. Without these arguments, the previous complex_plot functionality continues unchanged.

Component: graphics

Keywords: complex plotting

Author: David Lowry-Duda

Branch/Commit: e1b7ca9

Reviewer: Markus Wageringel, Travis Scrimshaw

Issue created by migration from https://trac.sagemath.org/ticket/33416