Actually I think the setters should not exist (see #14645)...
I think you can do cmap(+np.inf) cmap(-np.inf) cmap(np.nan) to get the over/under/bad values, not sure if it warrants a separate API?

Thanks.

@anntzer perhaps it warrants a different API? The difference is distinguished when bad/under/over were not set at all. Querying the cmap for such cases will result with the default extreme colors even when these were never set by the cmap creator. With getters I expect to get the set value (if provided) or None (if these weren't set at all).

Not sure I follow. By default you definitely want a color if the mapped value is over vmax.

For sure, but currently I can't tell apart if set_over was called prior to that or I'm getting the default extreme value from the colormap. So by having a get_over that returns None if set_over was never called (or the input to set_over in the case it was called), I can distinguish between the two cases. This may prove useful for manipulating colormaps.

@MaozGelbart

import matplotlib.pyplot as plt
import numpy as np

cmap = plt.get_cmap('cividis')
# the following will return True since set_under was not used to set "under" color
np.allclose(cmap(0), cmap(-np.inf))  # True

cmap.set_under('w')
np.allclose(cmap(0), cmap(-np.inf))  # False

# similarly for set_over ...

np.allclose(cmap(255), cmap(np.inf))  # True
cmap.set_under('k')
np.allclose(cmap(255), cmap(np.inf))  # False