In the previous post, we illustrated how to draw one line type (solid), one symbol type (circle), and two colors (blue and red). There are many more possibilities as shown below. The way it works is to specify a string consisting of up to three
format specifiers: one for the symbol, one for line type, and another
for color. It does not matter in which order the format specifiers are
listed in the string. The table below shows the characters used to specify the line or symbol type that is used. If a line type is chosen, the lines are drawn between the data points. If a marker type is chosen, the marker is plotted at each data point.
![](data:image/png;base64,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)
Color is specified using the codes shown in the figure below.
![](data:image/png;base64,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)
Use single letters for primary colors and codes C0, C2, . . . , C9 for a standard matplotlib color palette of ten colors designed to be pleasing to the eye. Here are some examples of how these format specifiers can be used:
plot(x, y, 'ro') # red circles
plot(x, y, 'ks-') # black squares connected by black lines
plot(x, y, 'g^') # green triangles pointing up
plot(x, y, 'k-') # black line
plot(x, y, 'C1s') # orange(ish) squares
These format specifiers give rudimentary control of the plotting symbols and lines. matplotlib provides much more precise control of the plotting symbol size, line types, and colors using optional keyword arguments instead of the plotting format strings introduced above. For example, the following command creates a plot of large yellow diamond symbols with orange edges connected by a green dashed line:
plot(x, y, color='green', linestyle='dashed', marker='D',
markerfacecolor='yellow', markersize=7,
markeredgecolor='C1')
Another useful keyword is fillstyle, with self-explanatory keywords full (the default), left, right, bottom, top, none. As an exercise try these options in a program. I m using this in the program we made in the previous post as shown below:
import numpy as np
import matplotlib.pyplot as plt
# read data from file
xdata, ydata = np.loadtxt('wavyPulseData.txt', unpack=True)
# create x and y arrays for theory
x = np.linspace(-10., 10., 200)
y = np.sin(x) * np.exp(-(x/5.0)**2)
# create plot
plt.figure(1, figsize = (6,4) )
plt.plot(x, y, 'b-', label='theory',color='green', linestyle='dashed', marker='D',markersize=7,markeredgecolor='C1')
plt.plot(xdata, ydata, 'ro', label="data")
plt.xlabel('x')
plt.ylabel('transverse displacement')
plt.legend(loc='upper right')
plt.axhline(color = 'gray', zorder=-1)
plt.axvline(color = 'gray', zorder=-1)
# save plot to file
plt.savefig('WavyPulse.pdf')
# display plot on screen
plt.show()
The output will be:
If we use fillstyle='left' as shown below:
plt.plot(x, y, 'b-', label='theory',color='green', linestyle='dashed', marker='D',markersize=7,markeredgecolor='C1',fillstyle='left')
Then the previous output will change to:
Color is specified using the codes shown in the figure below.
Use single letters for primary colors and codes C0, C2, . . . , C9 for a standard matplotlib color palette of ten colors designed to be pleasing to the eye. Here are some examples of how these format specifiers can be used:
plot(x, y, 'ro') # red circles
plot(x, y, 'ks-') # black squares connected by black lines
plot(x, y, 'g^') # green triangles pointing up
plot(x, y, 'k-') # black line
plot(x, y, 'C1s') # orange(ish) squares
These format specifiers give rudimentary control of the plotting symbols and lines. matplotlib provides much more precise control of the plotting symbol size, line types, and colors using optional keyword arguments instead of the plotting format strings introduced above. For example, the following command creates a plot of large yellow diamond symbols with orange edges connected by a green dashed line:
plot(x, y, color='green', linestyle='dashed', marker='D',
markerfacecolor='yellow', markersize=7,
markeredgecolor='C1')
Another useful keyword is fillstyle, with self-explanatory keywords full (the default), left, right, bottom, top, none. As an exercise try these options in a program. I m using this in the program we made in the previous post as shown below:
import numpy as np
import matplotlib.pyplot as plt
# read data from file
xdata, ydata = np.loadtxt('wavyPulseData.txt', unpack=True)
# create x and y arrays for theory
x = np.linspace(-10., 10., 200)
y = np.sin(x) * np.exp(-(x/5.0)**2)
# create plot
plt.figure(1, figsize = (6,4) )
plt.plot(x, y, 'b-', label='theory',color='green', linestyle='dashed', marker='D',markersize=7,markeredgecolor='C1')
plt.plot(xdata, ydata, 'ro', label="data")
plt.xlabel('x')
plt.ylabel('transverse displacement')
plt.legend(loc='upper right')
plt.axhline(color = 'gray', zorder=-1)
plt.axvline(color = 'gray', zorder=-1)
# save plot to file
plt.savefig('WavyPulse.pdf')
# display plot on screen
plt.show()
The output will be:
If we use fillstyle='left' as shown below:
plt.plot(x, y, 'b-', label='theory',color='green', linestyle='dashed', marker='D',markersize=7,markeredgecolor='C1',fillstyle='left')
Then the previous output will change to:
0 comments:
Post a Comment