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Jun 20, 2018
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Doc: beautify usetex demo example #11462

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84 changes: 37 additions & 47 deletions examples/text_labels_and_annotations/usetex_demo.py
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Original file line number Diff line number Diff line change
Expand Up @@ -3,77 +3,67 @@
Usetex Demo
===========

Shows how to use latex in a plot.

Also refer to the :doc:`/tutorials/text/usetex` guide.
"""
import matplotlib
matplotlib.rc('text', usetex=True)
import matplotlib.pyplot as plt

import numpy as np
import matplotlib.pyplot as plt
plt.rc('text', usetex=True)

# interface tracking profiles
N = 500
delta = 0.6
X = np.linspace(-1, 1, N)
plt.plot(X, (1 - np.tanh(4 * X / delta)) / 2, # phase field tanh profiles
X, (X + 1) / 2, # level set distance function
X, (1.4 + np.tanh(4 * X / delta)) / 4, # composition profile
X, (1.4 + np.tanh(4 * X / delta)) / 4, "C2", # composition profile
X, X < 0, 'k--') # sharp interface

# legend
plt.legend(('phase field', 'level set', 'composition', 'sharp interface'),
shadow=True, loc=(0.01, 0.55))

ltext = plt.gca().get_legend().get_texts()
plt.setp(ltext[0], fontsize=20)
plt.setp(ltext[1], fontsize=20)
plt.setp(ltext[2], fontsize=20)
plt.setp(ltext[3], fontsize=20)
plt.legend(('phase field', 'level set', 'sharp interface'),
shadow=True, loc=(0.01, 0.48), handlelength=1.5, fontsize=16)

# the arrow
height = 0.1
offset = 0.02
plt.plot((-delta / 2., delta / 2), (height, height), 'k', linewidth=2)
plt.plot((-delta / 2, -delta / 2 + offset * 2), (height, height - offset),
'k', linewidth=2)
plt.plot((-delta / 2, -delta / 2 + offset * 2), (height, height + offset),
'k', linewidth=2)
plt.plot((delta / 2, delta / 2 - offset * 2), (height, height - offset),
'k', linewidth=2)
plt.plot((delta / 2, delta / 2 - offset * 2), (height, height + offset),
'k', linewidth=2)
plt.text(-0.06, height - 0.06, r'$\delta$', {'color': 'k', 'fontsize': 24})
plt.annotate("", xy=(-delta / 2., 0.1), xycoords='data',
xytext=(delta / 2., 0.1), textcoords='data',
arrowprops=dict(arrowstyle="<->", connectionstyle="arc3"))
plt.text(0, 0.1, r'$\delta$',
{'color': 'k', 'fontsize': 24, 'ha' : 'center', 'va' : 'center',
'bbox' : dict(boxstyle="round", fc="w", ec="k", pad=0.2)})

# X-axis label
plt.xticks((-1, 0, 1), ('-1', '0', '1'), color='k', size=20)
# Use tex in labels
plt.xticks((-1, 0, 1), ('$-1$', r'$\pm 0$', '$+1$'), color='k', size=20)

# Left Y-axis labels
plt.ylabel(r'\bf{phase field} $\phi$', {'color': 'b', 'fontsize': 20})
plt.yticks((0, 0.5, 1), ('0', '.5', '1'), color='k', size=20)
# Left Y-axis labels, combine math mode and text mode
plt.ylabel(r'\bf{phase field} $\phi$', {'color': 'C0', 'fontsize': 20})
plt.yticks((0, 0.5, 1), (r'\bf{0}', r'\bf{.5}', r'\bf{1}'), color='k', size=20)

# Right Y-axis labels
plt.text(1.05, 0.5, r"\bf{level set} $\phi$", {'color': 'g', 'fontsize': 20},
plt.text(1.02, 0.5, r"\bf{level set} $\phi$", {'color': 'C2', 'fontsize': 20},
horizontalalignment='left',
verticalalignment='center',
rotation=90,
clip_on=False)
plt.text(1.01, -0.02, "-1", {'color': 'k', 'fontsize': 20})
plt.text(1.01, 0.98, "1", {'color': 'k', 'fontsize': 20})
plt.text(1.01, 0.48, "0", {'color': 'k', 'fontsize': 20})
clip_on=False,
transform=plt.gca().transAxes)

# Use multiline environment inside a `text`.
# level set equations
plt.text(0.1, 0.85,
r'$|\nabla\phi| = 1,$ \newline $ \frac{\partial \phi}{\partial t}'
r'+ U|\nabla \phi| = 0$',
{'color': 'g', 'fontsize': 20})
eq1 = r"\begin{eqnarray*}" + \
r"|\nabla\phi| &=& 1,\\" + \
r"\frac{\partial \phi}{\partial t} + U|\nabla \phi| &=& 0 " + \
r"\end{eqnarray*}"
plt.text(1, 0.9, eq1, {'color': 'C2', 'fontsize': 18}, va="top", ha="right")

# phase field equations
plt.text(0.2, 0.15,
r'$\mathcal{F} = \int f\left( \phi, c \right) dV,$ \newline '
r'$ \frac{ \partial \phi } { \partial t } = -M_{ \phi } '
r'\frac{ \delta \mathcal{F} } { \delta \phi }$',
{'color': 'b', 'fontsize': 20})
eq2 = r'\begin{eqnarray*}' + \
r'\mathcal{F} &=& \int f\left( \phi, c \right) dV, \\ ' + \
r'\frac{ \partial \phi } { \partial t } &=& -M_{ \phi } ' + \
r'\frac{ \delta \mathcal{F} } { \delta \phi }' + \
r'\end{eqnarray*}'
plt.text(0.18, 0.18, eq2, {'color': 'C0', 'fontsize': 16})

# these went wrong in pdf in a previous version
plt.text(-.9, .42, r'gamma: $\gamma$', {'color': 'r', 'fontsize': 20})
plt.text(-.9, .36, r'Omega: $\Omega$', {'color': 'b', 'fontsize': 20})
plt.text(-1, .30, r'gamma: $\gamma$', {'color': 'r', 'fontsize': 20})
plt.text(-1, .18, r'Omega: $\Omega$', {'color': 'b', 'fontsize': 20})

plt.show()