"""
=================================
Error bar rendering on polar axis
=================================

Demo of error bar plot in polar coordinates.
Theta error bars are curved lines ended with caps oriented towards the
center.
Radius error bars are straight lines oriented towards center with
perpendicular caps.
"""
import matplotlib.pyplot as plt
import numpy as np

theta = np.arange(0, 2 * np.pi, np.pi / 4)
r = theta / np.pi / 2 + 0.5

fig = plt.figure(figsize=(10, 10))
ax = fig.add_subplot(projection='polar')
ax.errorbar(theta, r, xerr=0.25, yerr=0.1, capsize=7, fmt="o", c="seagreen")
ax.set_title("Pretty polar error bars")
plt.show()

# %%
# Please acknowledge that large theta error bars will be overlapping.
# This may reduce readability of the output plot. See example figure below:

fig = plt.figure(figsize=(10, 10))
ax = fig.add_subplot(projection='polar')
ax.errorbar(theta, r, xerr=5.25, yerr=0.1, capsize=7, fmt="o", c="darkred")
ax.set_title("Overlapping theta error bars")
plt.show()

# %%
# On the other hand, large radius error bars will never overlap, they just
# lead to unwanted scale in the data, reducing the displayed range.

fig = plt.figure(figsize=(10, 10))
ax = fig.add_subplot(projection='polar')
ax.errorbar(theta, r, xerr=0.25, yerr=10.1, capsize=7, fmt="o", c="orangered")
ax.set_title("Large radius error bars")
plt.show()


# %%
#
# .. admonition:: References
#
#    The use of the following functions, methods, classes and modules is shown
#    in this example:
#
#    - `matplotlib.axes.Axes.errorbar` / `matplotlib.pyplot.errorbar`
#    - `matplotlib.projections.polar`
#
# .. tags::
#
#    component: error
#    plot-type: errorbar
#    plot-type: polar
#    level: beginner