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Given the following text description, write Python code to implement the functionality described below step by step
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Description:
 <!--BOOK_INFORMATION-->
<img align="left" style="padding-right
Step1:  The plt interface is what we will use most often, as we shall see throughout this chapter.
Setting Styles
We will use the plt.style directive to choose appropriate aesthetic styles for our figures.
Here we will set the classic style, which ensures that the plots we create use the classic Matplotlib style
Step2:  Throughout this section, we will adjust this style as needed.
Note that the stylesheets used here are supported as of Matplotlib version 1.5; if you are using an earlier version of Matplotlib, only the default style is available.
For more information on stylesheets, see Customizing Matplotlib
Step3:  After running this command (it needs to be done only once per kernel/session), any cell within the notebook that creates a plot will embed a PNG image of the resulting graphic
Step4:  Saving Figures to File
One nice feature of Matplotlib is the ability to save figures in a wide variety of formats.
Saving a figure can be done using the savefig() command.
For example, to save the previous figure as a PNG file, you can run this
Step5:  We now have a file called my_figure.png in the current working directory
Step6:  To confirm that it contains what we think it contains, let's use the IPython Image object to display the contents of this file
Step7:  In savefig(), the file format is inferred from the extension of the given filename.
Depending on what backends you have installed, many different file formats are available.
The list of supported file types can be found for your system by using the following method of the figure canvas object
Step8:  Note that when saving your figure, it's not necessary to use plt.show() or related commands discussed earlier.
Two Interfaces for the Price of One
A potentially confusing feature of Matplotlib is its dual interfaces
Step9:  It is important to note that this interface is stateful
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Python Code:
import matplotlib as mpl
import matplotlib.pyplot as plt
Explanation: <!--BOOK_INFORMATION-->
<img align="left" style="padding-right:10px;" src="figures/PDSH-cover-small.png">
This notebook contains an excerpt from the Python Data Science Handbook by Jake VanderPlas; the content is available on GitHub.
The text is released under the CC-BY-NC-ND license, and code is released under the MIT license. If you find this content useful, please consider supporting the work by buying the book!
No changes were made to the contents of this notebook from the original.
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< Further Resources | Contents | Simple Line Plots >
Visualization with Matplotlib
We'll now take an in-depth look at the Matplotlib package for visualization in Python.
Matplotlib is a multi-platform data visualization library built on NumPy arrays, and designed to work with the broader SciPy stack.
It was conceived by John Hunter in 2002, originally as a patch to IPython for enabling interactive MATLAB-style plotting via gnuplot from the IPython command line.
IPython's creator, Fernando Perez, was at the time scrambling to finish his PhD, and let John know he wouldn’t have time to review the patch for several months.
John took this as a cue to set out on his own, and the Matplotlib package was born, with version 0.1 released in 2003.
It received an early boost when it was adopted as the plotting package of choice of the Space Telescope Science Institute (the folks behind the Hubble Telescope), which financially supported Matplotlib’s development and greatly expanded its capabilities.
One of Matplotlib’s most important features is its ability to play well with many operating systems and graphics backends.
Matplotlib supports dozens of backends and output types, which means you can count on it to work regardless of which operating system you are using or which output format you wish.
This cross-platform, everything-to-everyone approach has been one of the great strengths of Matplotlib.
It has led to a large user base, which in turn has led to an active developer base and Matplotlib’s powerful tools and ubiquity within the scientific Python world.
In recent years, however, the interface and style of Matplotlib have begun to show their age.
Newer tools like ggplot and ggvis in the R language, along with web visualization toolkits based on D3js and HTML5 canvas, often make Matplotlib feel clunky and old-fashioned.
Still, I'm of the opinion that we cannot ignore Matplotlib's strength as a well-tested, cross-platform graphics engine.
Recent Matplotlib versions make it relatively easy to set new global plotting styles (see Customizing Matplotlib: Configurations and Style Sheets), and people have been developing new packages that build on its powerful internals to drive Matplotlib via cleaner, more modern APIs—for example, Seaborn (discussed in Visualization With Seaborn), ggpy, HoloViews, Altair, and even Pandas itself can be used as wrappers around Matplotlib's API.
Even with wrappers like these, it is still often useful to dive into Matplotlib's syntax to adjust the final plot output.
For this reason, I believe that Matplotlib itself will remain a vital piece of the data visualization stack, even if new tools mean the community gradually moves away from using the Matplotlib API directly.
General Matplotlib Tips
Before we dive into the details of creating visualizations with Matplotlib, there are a few useful things you should know about using the package.
Importing Matplotlib
Just as we use the np shorthand for NumPy and the pd shorthand for Pandas, we will use some standard shorthands for Matplotlib imports:
End of explanation
plt.style.use('classic')
Explanation: The plt interface is what we will use most often, as we shall see throughout this chapter.
Setting Styles
We will use the plt.style directive to choose appropriate aesthetic styles for our figures.
Here we will set the classic style, which ensures that the plots we create use the classic Matplotlib style:
End of explanation
%matplotlib inline
Explanation: Throughout this section, we will adjust this style as needed.
Note that the stylesheets used here are supported as of Matplotlib version 1.5; if you are using an earlier version of Matplotlib, only the default style is available.
For more information on stylesheets, see Customizing Matplotlib: Configurations and Style Sheets.
show() or No show()? How to Display Your Plots
A visualization you can't see won't be of much use, but just how you view your Matplotlib plots depends on the context.
The best use of Matplotlib differs depending on how you are using it; roughly, the three applicable contexts are using Matplotlib in a script, in an IPython terminal, or in an IPython notebook.
Plotting from a script
If you are using Matplotlib from within a script, the function plt.show() is your friend.
plt.show() starts an event loop, looks for all currently active figure objects, and opens one or more interactive windows that display your figure or figures.
So, for example, you may have a file called myplot.py containing the following:
```python
------- file: myplot.py ------
import matplotlib.pyplot as plt
import numpy as np
x = np.linspace(0, 10, 100)
plt.plot(x, np.sin(x))
plt.plot(x, np.cos(x))
plt.show()
```
You can then run this script from the command-line prompt, which will result in a window opening with your figure displayed:
$ python myplot.py
The plt.show() command does a lot under the hood, as it must interact with your system's interactive graphical backend.
The details of this operation can vary greatly from system to system and even installation to installation, but matplotlib does its best to hide all these details from you.
One thing to be aware of: the plt.show() command should be used only once per Python session, and is most often seen at the very end of the script.
Multiple show() commands can lead to unpredictable backend-dependent behavior, and should mostly be avoided.
Plotting from an IPython shell
It can be very convenient to use Matplotlib interactively within an IPython shell (see IPython: Beyond Normal Python).
IPython is built to work well with Matplotlib if you specify Matplotlib mode.
To enable this mode, you can use the %matplotlib magic command after starting ipython:
```ipython
In [1]: %matplotlib
Using matplotlib backend: TkAgg
In [2]: import matplotlib.pyplot as plt
```
At this point, any plt plot command will cause a figure window to open, and further commands can be run to update the plot.
Some changes (such as modifying properties of lines that are already drawn) will not draw automatically: to force an update, use plt.draw().
Using plt.show() in Matplotlib mode is not required.
Plotting from an IPython notebook
The IPython notebook is a browser-based interactive data analysis tool that can combine narrative, code, graphics, HTML elements, and much more into a single executable document (see IPython: Beyond Normal Python).
Plotting interactively within an IPython notebook can be done with the %matplotlib command, and works in a similar way to the IPython shell.
In the IPython notebook, you also have the option of embedding graphics directly in the notebook, with two possible options:
%matplotlib notebook will lead to interactive plots embedded within the notebook
%matplotlib inline will lead to static images of your plot embedded in the notebook
For this book, we will generally opt for %matplotlib inline:
End of explanation
import numpy as np
x = np.linspace(0, 10, 100)
fig = plt.figure()
plt.plot(x, np.sin(x), '-')
plt.plot(x, np.cos(x), '--');
Explanation: After running this command (it needs to be done only once per kernel/session), any cell within the notebook that creates a plot will embed a PNG image of the resulting graphic:
End of explanation
fig.savefig('my_figure.png')
Explanation: Saving Figures to File
One nice feature of Matplotlib is the ability to save figures in a wide variety of formats.
Saving a figure can be done using the savefig() command.
For example, to save the previous figure as a PNG file, you can run this:
End of explanation
!ls -lh my_figure.png
Explanation: We now have a file called my_figure.png in the current working directory:
End of explanation
from IPython.display import Image
Image('my_figure.png')
Explanation: To confirm that it contains what we think it contains, let's use the IPython Image object to display the contents of this file:
End of explanation
fig.canvas.get_supported_filetypes()
Explanation: In savefig(), the file format is inferred from the extension of the given filename.
Depending on what backends you have installed, many different file formats are available.
The list of supported file types can be found for your system by using the following method of the figure canvas object:
End of explanation
plt.figure()  # create a plot figure
# create the first of two panels and set current axis
plt.subplot(2, 1, 1) # (rows, columns, panel number)
plt.plot(x, np.sin(x))
# create the second panel and set current axis
plt.subplot(2, 1, 2)
plt.plot(x, np.cos(x));
Explanation: Note that when saving your figure, it's not necessary to use plt.show() or related commands discussed earlier.
Two Interfaces for the Price of One
A potentially confusing feature of Matplotlib is its dual interfaces: a convenient MATLAB-style state-based interface, and a more powerful object-oriented interface. We'll quickly highlight the differences between the two here.
MATLAB-style Interface
Matplotlib was originally written as a Python alternative for MATLAB users, and much of its syntax reflects that fact.
The MATLAB-style tools are contained in the pyplot (plt) interface.
For example, the following code will probably look quite familiar to MATLAB users:
End of explanation
# First create a grid of plots
# ax will be an array of two Axes objects
fig, ax = plt.subplots(2)
# Call plot() method on the appropriate object
ax[0].plot(x, np.sin(x))
ax[1].plot(x, np.cos(x));
Explanation: It is important to note that this interface is stateful: it keeps track of the "current" figure and axes, which are where all plt commands are applied.
You can get a reference to these using the plt.gcf() (get current figure) and plt.gca() (get current axes) routines.
While this stateful interface is fast and convenient for simple plots, it is easy to run into problems.
For example, once the second panel is created, how can we go back and add something to the first?
This is possible within the MATLAB-style interface, but a bit clunky.
Fortunately, there is a better way.
Object-oriented interface
The object-oriented interface is available for these more complicated situations, and for when you want more control over your figure.
Rather than depending on some notion of an "active" figure or axes, in the object-oriented interface the plotting functions are methods of explicit Figure and Axes objects.
To re-create the previous plot using this style of plotting, you might do the following:
End of explanation
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