"""
==========
Histograms
==========

How to plot histograms with Matplotlib.
"""

import matplotlib.pyplot as plt
import numpy as np

from matplotlib import colors
from matplotlib.ticker import PercentFormatter

# Create a random number generator with a fixed seed for reproducibility
rng = np.random.default_rng(19680801)

# %%
# Generate data and plot a simple histogram
# -----------------------------------------
#
# To generate a 1D histogram we only need a single vector of numbers. For a 2D
# histogram we'll need a second vector. We'll generate both below, and show
# the histogram for each vector.

N_points = 100000
n_bins = 20

# Generate two normal distributions
dist1 = rng.standard_normal(N_points)
dist2 = 0.4 * rng.standard_normal(N_points) + 5

fig, axs = plt.subplots(1, 2, sharey=True, tight_layout=True)

# We can set the number of bins with the *bins* keyword argument.
axs[0].hist(dist1, bins=n_bins)
axs[1].hist(dist2, bins=n_bins)

plt.show()


# %%
# Updating histogram colors
# -------------------------
#
# The histogram method returns (among other things) a ``patches`` object. This
# gives us access to the properties of the objects drawn. Using this, we can
# edit the histogram to our liking. Let's change the color of each bar
# based on its y value.

fig, axs = plt.subplots(1, 2, tight_layout=True)

# N is the count in each bin, bins is the lower-limit of the bin
N, bins, patches = axs[0].hist(dist1, bins=n_bins)

# We'll color code by height, but you could use any scalar
fracs = N / N.max()

# we need to normalize the data to 0..1 for the full range of the colormap
norm = colors.Normalize(fracs.min(), fracs.max())

# Now, we'll loop through our objects and set the color of each accordingly
for thisfrac, thispatch in zip(fracs, patches):
    color = plt.cm.viridis(norm(thisfrac))
    thispatch.set_facecolor(color)

# We can also normalize our inputs by the total number of counts
axs[1].hist(dist1, bins=n_bins, density=True)

# Now we format the y-axis to display percentage
axs[1].yaxis.set_major_formatter(PercentFormatter(xmax=1))


# %%
# Plot a 2D histogram
# -------------------
#
# To plot a 2D histogram, one only needs two vectors of the same length,
# corresponding to each axis of the histogram.

fig, ax = plt.subplots(tight_layout=True)
hist = ax.hist2d(dist1, dist2)


# %%
# Customizing your histogram
# --------------------------
#
# Customizing a 2D histogram is similar to the 1D case, you can control
# visual components such as the bin size or color normalization.

fig, axs = plt.subplots(3, 1, figsize=(5, 15), sharex=True, sharey=True,
                        tight_layout=True)

# We can increase the number of bins on each axis
axs[0].hist2d(dist1, dist2, bins=40)

# As well as define normalization of the colors
axs[1].hist2d(dist1, dist2, bins=40, norm=colors.LogNorm())

# We can also define custom numbers of bins for each axis
axs[2].hist2d(dist1, dist2, bins=(80, 10), norm=colors.LogNorm())

# %%
#
# .. tags::
#
#    plot-type: histogram,
#    plot-type: histogram2d
#    domain: statistics
#    styling: color,
#    component: normalization
#    component: patch
#
# .. admonition:: References
#
#    The use of the following functions, methods, classes and modules is shown
#    in this example:
#
#    - `matplotlib.axes.Axes.hist` / `matplotlib.pyplot.hist`
#    - `matplotlib.pyplot.hist2d`
#    - `matplotlib.ticker.PercentFormatter`