The output from this code is shown in the image below—the LaTeX document preamble is added automatically when you open the link:

The output from this code is shown in the image below—the LaTeX document preamble is added automatically when you open the link:

However, behind the scenes, and deep inside the pdfTeX engine (and other engines), those high-level LaTeX graphics commands need to be processed by "converting" them back into low-level pdfTeX engine (primitive) commands which actually generate (output) the PDF operators required to produce the resultant figure(s). That processing of graphical LaTeX commands—expansion and execution of primitives—can take a non-negligible amount of time. Even a single high-level LaTeX graphics command, together with its corresponding data, might require repeated execution of many low-level TeX engine (primitive) commands. From an end-user's perspective, documents containing multiple pgfplots figures, and/or very complex graphics, can take a considerable amount of time to render (compile).

The output from this code is shown in the image below—the LaTeX document preamble is added automatically when you open the link:

The output from this code is shown in the image below—the LaTeX document preamble is added automatically when you open the link:

Note: It's recommended as a good practice to indent the code—see the second plot in the example above—and to add a comma (,) at the end of each option passed to \addplot. This way the code is more readable and is easier to add further options if needed.

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The parameters passed to the axis and addplot environments can also be used in a data plot, except for scatter. Below the description of the code:

If the data is in a file, which is the case most of the time; instead of the commands \addplot and coordinates you should use \addplot table {file_with_the_data.dat}, the rest of the options are valid in this environment.

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To increase speed of document-compilation you can configure the pgfplots package to export the figures to separate PDF files and then import them into the document: compile once, then re-use the figures. To do that, add the code shown below to the preamble:

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To add an actual plot, the command \addplot[color=red]{log(x)}; is used. Inside the square brackets, [...], some options can be passed in; here, we set the color of the plot to red. The square brackets are mandatory, if no options are passed leave a blank space between them. Inside the curly brackets you put the function to plot. Is important to remember that this command must end with a semicolon (;).

Scatter plots are used to represent information by using some kind of marks and are commonly used when computing statistical regression. In this example we'll create a scatter plot using data contained in a file called scattered_example.dat, in which the data looks like this:

The figure starts with the (previously explained) declaration of the tikzpicture and axis environments, but the axis declaration has a number of new parameters:

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Bar graphs (also known as bar charts and bar plots) are used to display gathered data, mainly statistical data about a population of some sort. Bar plots in pgfplots are highly configurable, but here we are going to show a plain example:

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You also can configure the behaviour of pgfplots in the document preamble. For example, to change the size of each plot and guarantee backwards compatibility (recommended) add the next line:

The output from this code is shown in the image below—the LaTeX document preamble is added automatically when you open the link:

There are only two new things in this example: first, the samples y=0 to prevent pgfplots from joining the extreme points of the spiral and; second, the way the function to plot is passed to the addplot3 environment. Each parameter function is grouped inside curly brackets and the three parameters are delimited with a parenthesis.

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Because pgfplots is based on tikz the plot must be inside a tikzpicture environment. Then the environment declaration \begin{axis}, \end{axis} will set the correct scaling for the plot—check the Reference guide for other axis environments.

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This is a plot of some contour lines for the same equation used in the previous section. The value of the title parameter is inside curly brackets because it contains a comma, so we use the grouping brackets to avoid any confusion with the other parameters passed to the \begin{axis} declaration. There are two new commands:

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The rest of the syntax is the same, except for the \addplot3 [surf,]{exp(-x^2-y^2)*x};. This will add a 3dplot, and the option surf inside squared brackets declares that it's a surface plot. The function to plot must be placed inside curly brackets. Again, don't forget to put a semicolon (;) at the end of the command.

Note: When working with trigonometric functions pgfplots uses degrees as default units, if the angle is in radians (as in this example) you have to use the deg function to convert to degrees.

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The pgfplots package, which is based on TikZ, is a powerful visualization tool and ideal for creating scientific/technical graphics. The basic idea is that you provide the input data/formula and pgfplots does the rest.

The output from this code is shown in the image below—the LaTeX document preamble is added automatically when you open the link:

In pgfplots it is possible to plot contour plots, but the data has to be pre-calculated by an external program. Let's see an example:

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To put a second plot next to the first one declare a new tikzpicture environment. Do not insert a new line, but a small blank gap, in this case hskip 10pt will insert a 10pt-wide blank space.

When the original TeX engine was conceived/written, more than 40 years ago, it was not designed for direct production of graphics—those were to be files created by external programs (e.g., MetaPost) and imported into the typeset document. The advent of pdfTeX—which is closely based on the original TeX software—brought the ability to create graphics directly by using pdfTeX's new built-in TeX language commands (called primitives) which can output the PDF operators/data required to produce graphics. The creation of pdfTeX led to the development of sophisticated LaTeX graphics packages, such as TikZ, pgfplots etc, capable of producing graphics coded using high-level LaTeX commands.

The output from this code is shown in the image below—the LaTeX document preamble is added automatically when you open the link:

The labels on the y-axis will show up to 4 digits. If the numbers you are working with are greater than 9999 pgfplots will use the same notation as in the example.

The points passed to the coordinates parameter are treated as contained in a 3 × 3 matrix, using a blank line as the separator for each matrix row.

To plot a set of data into a 3D surface all we need is the coordinates of each point. These coordinates could be an unordered set or, in this case, a matrix:

pgfplots' 2D plotting functionalities are vast—and you can personalize your plots to suit your requirements. Nevertheless, the default options usually give very good results, so all you need to do is feed the data and LaTeX will do the rest.

This changes the size of each pgfplot figure to 10 centimeters, which is huge; you may use different units (pt, mm, in). The compat parameter is for the code to work on the package version 1.9 or later.