As I see there are no specific plot commands for complex functions.
There are 3 types that would be preferable:
1. parametric plot
2. contour plot
3. conformal plot

The parametric plot can be simulated with parametric_plot and the
contour plot with contour_plot.
However for these functions one have to specify the input as a pair of
functions.
When you have a complex function f, the input would be:
(lambda z: real(f(z)), lambda z: imag(f(z)))

The problem with this simulation is that f has to be computed twice to
obtain the real and the imaginary part.
If you have a very computation intensive function f this is deadly.
So it would be great if the parametric_plot and contour_plot had an
option for complex functions that would avoid these double
computations.
More generally parametric_plot and countour_plot could take a
functions that returns a pair of values in addition to taking a pair
of functions.

Is this problem already recognized? I also would be willing to
implement such a functionality if not. Any comments?
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