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Allow colorbar.ax.set_ylim to set the colorbar limits? #13948

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@ImportanceOfBeingErnest

Description

Bug report

Bug summary

Coming from this stackoverflow question I was wondering if it would be useful to allow the limits of the colorbar axes to be used for restricting the range of colors to be shown in the colorbar. I.e.

colorbar.ax.set_ylim(-2, 8) 

Code for reproduction

import numpy as np
import matplotlib.pyplot as plt
import matplotlib.colors as mcolors

x = np.linspace(-2,8)

mima = np.max((np.abs(x.min()), np.abs(x.max())))
norm = mcolors.Normalize(-mima, +mima)

sc = plt.scatter(x,x, c=x, cmap = 'seismic', norm=norm)

cb = plt.colorbar(sc, orientation="horizontal")
cb.ax.set_xlim(x.min(), x.max())

plt.margins(x=0)
plt.savefig("test.png", bbox_inches="tight")
plt.show()

Actual outcome

test

Expected outcome

test

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