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PNG version of a graph

SVG version of a graph meant to look similar to the PNG

Graphs, charts, and other pictures can contribute substantially to an article. Here are some hints on how to create a graph. The source code for each of the example images on this page can be accessed by clicking the image to go to the image description page.

1. Use the SVG format whenever possible. If you can't, use any software to create the plot in a bitmap format but make it very large, for instance 6000×4500 pixel size with Postscript Times or Symbol font size 48 and a line thickness of 17 pixels. Then use software like Photoshop or GIMP to Gaussian blur it at 2 pixels. Finally reduce it down to about 1000 pixels on a side (e.g. 1300×975) using bicubic interpolation. This gives a plot with no jagged lines that is also big enough so that someone could download it and use it for projection purposes without apparent pixellation. Save the image as PNG.
2. Plots should be as language-free as possible, and uploaded to Wikimedia Commons, so that they may be used in any language version of Wikipedia.
3. Regardless of format, upload using Commons Upload Wizard or Wikipedia:File Upload Wizard.
4. The descriptive text should be confined to the caption as much as possible. Try to put as little text as possible in the image itself. You can also place additional text on the image description page if needed.
5. For SVG images, it is important to use only the fonts supported by MediaWiki (listed here), and to not convert the text into paths. Here are some additional recommendations for text legibility.
6. It is best if color coding is not the only thing that differentiates parts of the graph. The graph should be understandable even when the article is printed on a gray-scale printer, viewed by the colorblind, or seen on a monochrome display. Use dashed or dotted lines or differently-shaped symbols to identify different objects. In order to make the picture clearer and nicer, you can certainly use color to add redundant information: for example you could plot two different functions with a solid and a dotted line in two different colors. If you use only colors to convey information, choose them so that, if the picture is converted to gray-scale, you still can distinguish them thanks to the evident contrast. You can test your choices with Vischeck. See Wikipedia:Manual of Style § Color coding.
7. Include the commands by which you created the plot on the image description page so others can replicate your work to make additions, fixes, translations, and so on. Ideally someone else can copy and paste the commands and obtain the same result. One way to test that is to write a script and execute the script (instead of interactively typing the commands). Then just copy and paste the script into the image description page. Commenting your code is also helpful to make your code more understandable.
8. Be sure to include a licensing tag (GFDL, CC, public domain, etc.) on the image description page.
9. If you are creating an SVG image and want to insert Greek and other special characters, please make sure first that it will display correctly when uploaded and converted to a raster image by the MediaWiki software. The most common problems are with characters in the Symbol font which does not display correctly in MediaWiki. If, for instance, "π" is rendered as "p" in Mediawiki's output, your software is generating characters with the Symbol font and needs to be reconfigured. Unicode characters usually display correctly, and are supported by most programs including Inkscape. Or, you can convert the characters to paths as a last resort. You can find the complete Greek alphabet on Commons which you can then copy and paste into your application as they are already in the correct format. (Make sure to copy directly from the SVG image, not the raster output.)

See also the graphics tutorials on how to create pictures, and the picture tutorial on how to include them in articles. There is additional discussion of plotting on Template talk:Probability distribution § Standard Plots.

Edward Tufte, in his book The Visual Display of Quantitative Information, distinguishes between friendly and unfriendly data graphics as follows:

Wikimedia Commons has media related to Category:Images including source code in their description.

gnuplot

Wikibooks has a book on the topic of: gnuplot

Wikimedia Commons has media related to Category:Images with Gnuplot source code.

Many of the graphs on Wikipedia were made with the free software program gnuplot. It can be used by itself or in conjunction with other software.

For example, to plot the data in file "data":

set xlabel "steps"
set ylabel "result"
unset key
#use bars in plot: with boxes
#choose line color/style in plot: linetype n
#plot filled bars (fs): pattern n
set style fill pattern 2
plot "data" with boxes linetype 3 fs

• 
  List of line and symbols types in the gnuplot svg terminal
• 
  The lines and symbols availables on gnuplot with the postscript terminal and the options by default
• 
  The lines and symbols availables on gnuplot with the postscript terminal and the option color
• 
  The lines and symbols availables on gnuplot with the postscript terminal and the options color and solid

SVG

A plot of Hermite polynomials, generated by gnuplot in SVG format

A plot of the floor function, generated by gnuplot in SVG format

Now that MediaWiki supports SVG, it's usually best to generate SVG images directly. SVG images have many advantages, like being fully resizable, easier to modify, and so on, though they are sometimes inferior to raster images. Decide on a case-by-case basis.

A typical plot file could start with:

 set terminal svg enhanced size 1000 1000 fname "Times" fsize 36
 set output "filename.svg"

size

Sets the size of the plot. This controls the size of features in the PNG rendered by Wikipedia.

fname

Sets the font

fsize

Sets the font size. Also sets the size of plotted points

set output

Sets the filename for saving the SVG information

Raster

Gnuplot can also generate raster images (PNG):

For the best results, a PostScript file should be generated and converted into PNG in an external program, like the GIMP. PostScript is generated with the line set terminal postscript enhanced:

 set terminal postscript enhanced color solid lw 2 "Times-Roman" 20
 set output "filename.ps"

color

Make a color plot instead of black-and-white

solid

Make all lines solid instead of dashed. You may want to remove this to make dashed lines which are distinguishable on both color and black and white versions of the same plot.

lw 2

Sets the linewidth of all the lines at once.

"Times-Roman" 20

Sets the font and font size

set output

Sets the filename for saving the Postscript information

You should use a large number of samples for high-quality plots:

 set samples 1001

This is important to prevent aliasing or jagged linear interpolation (see File:Exponentialchirp.png and its history for an example of aliasing). Labels are helpful, but remember to keep language-specific information in the caption if it's not too inconvenient. Including the source code and/or an image without text helps other users create versions in their own language, if text is included in the image.

 set xlabel "Time (s)"
 set ylabel "Amplitude"

The legend or key is positioned according to the coordinate system you used for the graph itself:

 set key 4,0

Most other options are not Wikipedia-graph-specific, and should be gleaned from documentation or the source code included with other plots. An example of a plot generated with gnuplot is shown on the right, with source code on the image description page.^[1]

Maxima

Wikimedia Commons has media related to Category:Images_with_Maxima_CAS_source_code.

Wikibooks has a book on the topic of: Maxima

Maxima is a computer algebra system licensed under the GPL, similar to Mathematica or Maple. It uses gnuplot as its default plotter, though others are available, such as openmath. Plotting directly to PostScript from Maxima is supported, but gnuplot's PostScript output is more powerful.

The most-used commands are plot2d and plot3d:

 plot2d (sin(x), [x, 0, 2*%pi], [nticks, 500]);
 plot3d (x^2-y^2, [x, -2, 2], [y, -2, 2], [grid, 12, 12]);

Since the plot is sent to gnuplot as a series of samples, not as a function, the Maxima nticks option is used to set the number of sampling points instead of gnuplot's set samples. Additional plot options are included in brackets inside the plot command. To use the same options as in the above gnuplot example, add these lines to the end of the plot command:

PostScript output:

[gnuplot_term, ps]
[gnuplot_ps_term_command, "set term postscript enhanced color solid lw 2 'Times-Roman' 20"]

SVG output:

[gnuplot_term, ps]
[gnuplot_ps_term_command, "set terminal svg enhanced size 1000 1000 fname 'Times' fsize 36"]

Output filename:

[gnuplot_out_file, "filename.ps"]

Additional gnuplot commands:

[gnuplot_preamble, "set xlabel 'Time (s)'; set ylabel 'Amplitude'; set key 4,0"]

Like so:

  plot2d (sin(x), [x, 0, 2*%pi], [nticks, 500], [gnuplot_term, ps],
          [gnuplot_ps_term_command, "set term postscript enhanced color solid lw 2 'Times-Roman' 20"],
          [gnuplot_out_file, "filename.ps"],
          [gnuplot_preamble, "set xlabel 'Time (s)'; set ylabel 'Amplitude'; set key 4,0"]);

Similar for svg output:

  plot2d (sin(x), [x, 0, 2*%pi], [nticks, 500], [gnuplot_term, ps],
          [gnuplot_ps_term_command, "set terminal svg enhanced size 1000 1000 fname 'Times' fsize 36"],
          [gnuplot_out_file, "filename.svg"]);

Note that the font and labels are in single quotes now, nested inside double quotes. Multiple commands are separated by semicolons.

An example of a plot generated with gnuplot in Maxima is shown on the right, with source code on the image description page.^[2]

GNU Octave

Wikimedia Commons has media related to Category:Images with Octave source code.

Wikibooks has a book on the topic of: Octave Programming Tutorial

GNU Octave is a numerical computation program; effectively a MATLAB clone. It uses gnuplot extensively (though also offers interfaces to Grace and other graphing software).

The commands are plot (2D) and splot (surface plot).

 t = [0 : .01 : 1];  
 y = sin (2*pi*t);

 plot (t, y, "linewidth", 2)
 xlabel("Time (s)");
 ylabel("Amplitude");
 print("filename.svg", "-color", "-solid", "-tight", "-FTimes-Roman:20")

Matplotlib

Matplotlib is a plotting package for the free programming language Python. Its pylab interface is procedural and modeled after MATLAB, while the full Matplotlib interface is object-oriented.

Python and Matplotlib are cross-platform, and are therefore available for Windows, OS X, and the Unix-like operating systems like Linux and FreeBSD.

Matplotlib can create plots in a variety of output formats, such as PNG and SVG.^[3]

Matplotlib mainly does 2-D plots (such as line, contour, bar, scatter, etc.), but 3-D functionality is also available in some releases.

Here is a simple line plot in pylab (output image is shown on the right):

from pylab import *                   # import the Pylab module

x = [1,2,3,4]                         # list of x values
y1 = [8,3,5,6]                        # list of y values
y2 = [1,6,4,6]                        # another list of y values

plot(x, y1, 'o-')                     # do a line plot of data
plot(x, y2, 's--')                    # plot the other data with a dashed line

xlabel("foo")                         # add axis labels
ylabel("bar")		

xticks(x)                             # set x axis ticks to x values
title("Pylab Demo")                   # set plot title
grid(True, ls = '-', c = '#a0a0a0')   # turn on grid lines

savefig("pylab_example.svg")          # save as SVG

show()                                # show plot in GUI (optional)

Save this script as e.g. pylab_demo.py and then run it with python pylab_demo.py. After a few seconds, a window with the interactive graphical output should pop up.

Wikimedia SVG Chart

Wikimedia SVG Chart is a graph generator using the templates functionality of Wikimedia Commons. This template generates line and point charts in a structured and readable svg format. The original values are provided unmodified for the SVG file. Therefore the data of the chart may be checked and added at any time directly in the native file with any text editor.

Instructions for a simple line plot:

((SVG Chart
| Title         = Demo
| XAxisText     = foo
| YAxisText     = bar
| LegendType    = none
| XMax          = 60
| YMax          = 40
| XAxisMarkStep = 10
| YAxisMarkStep = 10

| Graph1Values =
      0 30
     20 10
     40 40
     60 30
| Graph2Values =
      0  0
     20 30
     40 10
     60 30   
))

Xfig

Xfig is an open source vector graphics editor that runs under X on most Unix platforms. In xfig, figures may be drawn using objects such as circles, boxes, lines, spline curves, text, etc. It is possible to import images in many formats, such as GIF, JPEG, SVG, and EPSF. An advantage of Xfig consists in its ability to display nice mathematical formula in the labels and legends using the TeX language.

R

Wikimedia Commons has media related to Category:Images with R source code.

The free statistical package R (see R programming language) can make a wide variety of nice-looking graphics. It is especially effective to display statistical data. On Wikimedia Commons, the category Created with R contains many examples, often including the corresponding R source code. Other examples can be found in the R Graph Gallery.

In order to output postscript, use “postscript” command:

postscript(file = "myplot.ps")
plot(...)
graphics.off()

The last command will close the postscript file; it won't be ready until it's closed.

With an additional (free) package, it's also possible to generate SVG-graphs with R directly. See an example with code on Image:Circle area Monte Carlo integration2.svg.

Other packages (lattice, ggplot2) provide alternative graphics facilities or syntax.

Here is another example with data.

Gri

The Gri graphical language can be used to generate plots and figures using a script-like commands. Unlike other tools Gri is not point and click, and requires learning the Gri script syntax.

Maple

Maple is a popular proprietary computer algebra system. Maple can export graphs in Encapsulated PostScript format, which can then be converted to SVG for example in Inkscape. To do this using the standard GUI interface, follow these steps:

1. Display the graph and adjust it until it looks like you want it to.
2. Right-click on the graph and select "Export" → "Encapsulated Postscript" from the menu which appears. Choose a file name to save the graph as.
3. In Inkscape, import the graph using "File" → "Import...". After importing, select "File" → "Document Properties..." and click "Fit page to selection". Save the SVG file and upload it.

GeoGebra

GeoGebra can be used to plot curves and points, as well as experiment with and draw geometric shapes. It also exports to SVG.

GeoGebra is a dynamic geometry program that can be used to create geometric objects free-hand using compass-and-ruler tools. It can also be used to plot implicit curves, parametric curves, and loci of points. It supports SVG, PNG, EPS, PDF, EMF, PGF/TikZ and PSTricks as export formats and has support for LaTeX formulas within text objects.

GeoGebra is not a drawing tool,^[4][5] and therefore suffers from some caveats that people accustomed to programs such as Inkscape or Illustrator might not be expecting.^[6] However, if your requirements with regard to pixel-perfect results are not too stringent, then you can quickly and easily create graphs and diagrams in GeoGebra.

If you want to set the dimensions (in pixels) of the graphical output as close to exact as possible, you should start by referring to the instructions in this discussion, and note the observations in this discussion. I.e. the resulting image may still be off by a few pixels. Alternatively, you can export to SVG and fix the file using a text editor. Having done this, you can then use Inkscape to convert the SVG file to PNG or JPEG.

Wikimedia Commons has media related to GeoGebra.

C.a.R.

C.a.R. (standing for "compass and ruler") is very similar to GeoGebra in that both programs are free, point-and-click, dynamic geometry applications running under Java and supporting PNG, SVG and other output formats. It is not nearly as feature-rich as GeoGebra, but at the same time overcomes some of GeoGebra's limitations with respect to vector and raster image export.^[7]

POV-Ray

A rendering of several three-dimensional solids done using the ray-tracer, POV-Ray (left). Using an updated "screen.inc" it is possible to get precise 2D screen coordinates of 3D points and import them into programs like Inkscape to create arrows, labels and other 2D elements (right).

Wikimedia Commons has media related to POV-Ray.

POV-Ray is a free general-purpose constructive solid geometry ray-tracing package with a scene description language very similar to many programming languages. It can also render parametric surfaces and algebraic surfaces of degree up to seven, as well as triangle mesh approximations using the "mesh" and "mesh2" object types and "param.inc". An updated version of the file "screen.inc" can be used to output the exact two-dimensional screen coordinates of any three-dimensional object so as to facilitate the addition of labels or other 2D elements in post-processing, for instance in Inkscape.

Other surface tools

Other usable tools include:

• surf, which is specialized for algebraic curves and surfaces;
• surfex, which is built on top of surf.

These tools are only capable of producing raster output.

• Blender (software) is a free triangle-based 3D modeler. It's possible to create mathematical surfaces in tools such as K3DSurf and import them into Blender. It's also possible to export Blender renders to SVG using a third-party plugin.

A diagram created with Graphviz (left). Illustration of Desargues' theorem made using Inkscape (right).

Graphviz

Wikimedia Commons has media related to Category:Images with Graphviz source code.

For graph-theory diagrams and other "circles-and-arrows" pictures, Graphviz is quick and easy, and also able to make SVGs.

Inkscape

Next to being useful for post-processing (see the next section), Inkscape is a point-and-click tool that can be used to create high-quality figures. It is a particularly easy tool for creating vector graphics, though GeoGebra and C.a.R. may be better suited for mathematical graphics. Also, Inkscape's design concepts differ in some fundamental ways from SVG. For instance, in SVG element widths are applied before stroke widths, whereas in Inkscape they are applied after.

Wikimedia Commons has media related to Inkscape.

LibreOffice and Apache OpenOffice

Bar chart created with OpenOffice.org Calc based on data stored in a spreadsheet.

Screenshot of OpenOffice.org Draw. Features may not be as numerous or advanced as in Inkscape, though integrating data from other OpenOffice.org applications is a plus.

LibreOffice and Apache OpenOffice are two free office suites (both forked from the now-discontinued OpenOffice.org suite) that contain among other things means of creating line, bar and pie charts based on data contained in spreadsheets and databases, as well as a program for drawing vector graphics called Draw. There is also a plugin for importing SVG images into OpenOffice.org and SVG import and export is included in current LibreOffice Draw by default. As of 2010, support for the full range of options offered by Inkscape and many other vector formats was still preliminary at best.^[8][9]

Wikimedia Commons has media related to OpenOffice.org.

Gnumeric

Gnumeric is a fairly lightweight spreadsheet and charting application, part of the GNOME Free Software Desktop Project. It is available for Linux and other Unix-like systems, as well NT-based versions of Windows. Charts are generated by the usual method of selecting a data range and clicking a toolbar icon. The approach is to start minimally, but double clicking the chart opens a tabbed dialogue, giving a high level of control over all elements of the chart, which are arranged in a hierarchical, nested structure. New elements can be added by clicking on the appropriate level and the Add button. The most important feature from the point of view of Wiki charts, is that Gnumeric charts can be exported as graphics simply by right clicking anywhere on the finished chart and selecting Save as Image. A range of formats is supported, including SVG and PNG. The accompanying population chart is a typical result.

Modifying SVG images

SVG images can be post-processed in Inkscape. Line styles and colors can be changed with the Fill and Stroke tool. Objects can be moved in front of other objects with the Object→Raise and Lower menu commands.

Saving from Inkscape also adds information that isn't present in Gnuplot's default output – neither Firefox nor Mozilla will render the file natively without it. These browsers can be persuaded to render Gnuplot's SVG output if the <svg> tag has the following attribute: xmlns="http://www.w3.org/2000/svg", as described at the Mozilla FAQ.

Converting PostScript to SVG

• PostScript can be converted to SVG with pstoedit (it works both on Linux and Microsoft Windows). On Linux, this tool can be invoked for example as

pstoedit -f plot-svg Picture.ps Picture.svg

• Also you can use Scribus.

Direct SVG output is probably better if the program supports it. See Wikipedia:WikiProject Electronics/How to draw SVG circuits using Xcircuit for an example.

Editing PostScript colors and linestyles manually

Setting colors and linestyles in gnuplot is not easy. They can more easily be changed after the PostScript file is generated by editing the PostScript file itself in a regular text editor.

This avoids needing to open in proprietary software, and really isn't that difficult (especially if you are unfamiliar with other PS editing software).

Find the section of the .ps file with several lines starting with /LT. Identify the lines easily by their color ("the arrow is currently magenta and I want it to be black. Ah, there is the entry with 1 0 1, red + blue = magenta") or by using the gnuplot linestyle−1 (for instance, gnuplot's linestyle 3 corresponds to the ps file's /LT2). Then you can edit the colors and dashes by hand.

 /LT0 { PL [] 1 0 0 DL } def

/LT0 corresponds to gnuplot's linestyle 1. The [] represents a solid line. 1 0 0 is the color of the line; an RGB triplet with values from 0 to 1. This line is red.

 /LT2 { PL [2 dl 3 dl] 0 0 1 DL } def

/LT2 corresponds to gnuplot's linestyle 3. The [2 dl 3 dl] represents a dashed line. There are 2 units of line followed by 3 units of empty space, and so on. 0 0 1 represents the color blue.

 /LT5 { PL [5 dl 2 dl 1 dl 2 dl] 0.5 0.5 0.5 DL } def

/LT5 corresponds to gnuplot's linestyle 6. The [5 dl 2 dl 1 dl 2 dl] represents a dash-dot line. There are 5 units of line (the dash) followed by 2 units of empty space, 1 unit of line (the dot), 2 more units of empty space, and then it starts over again. 0.5 0.5 0.5 represents the color gray.

/LTb is the graph's border, and /LTa is for the zero axes.^[10]

Converting PostScript to PNG and editing with the GIMP

To post-process PostScript files for raster output (though vector is preferred):^[11]

1. Open the file in the GIMP (make sure you have ghostscript installed! — Windows Ghostscript installation instructions)
   • Enter 500 in the "resolution" input box
   • You may need to uncheck "try bounding box", since the bounding box sometimes cuts off part of the image.
     • Enter large values for Height and Width if not using the bounding box
   • Select color
   • Select strong anti-aliasing for both graphics and text
2. Crop off extra whitespace (shift+C if you can't find it in the toolbox)
3. Image → Transform → Rotate 90 degrees clockwise
4. Filters → Blur → Gaussian blur (No need to blur if you use strong anti-aliasing during conversion. No significant difference between end results.)
   • 2.0 px
5. Image → Scale Image...
   • 25%
   • Cubic interpolation
6. You can view at normal size if you want by pressing 1, Ctrl+E
7. Save as File_name.png

Converting PostScript to PNG with ImageMagick

Another route to convert a PS or EPS file (postscript) in PNG is to use ImageMagick, available on many operating systems. A single command is needed:

convert -density 300 file.ps file.png

The density parameter is the output resolution, expressed in dots per inch. With the standard 5x3.5in size of a gnuplot graph, this results in a 1500x1050 pixels PNG image. ImageMagick automatically applies antialiasing, so no post-processing is needed, making this technique especially suited to batch processing. The following Makefile automatically compiles all gnuplot files in a directory to EPS figures, converts them to PNG and then clears the intermediate EPS files. It assumes that all gnuplot files have a ".plt" extension and that they produce an EPS file with the same name, and the ".eps" extension:

GNUPLOT_FILES = $(wildcard *.plt)
# create the target file list by substituting the extensions of the plt files
FICHIERS_PNG = $(patsubst %.plt,%.png,  $(GNUPLOT_FILES))

all: $(FICHIERS_PNG)

%.eps: %.plt
	@ echo "compillation of "$<
	@gnuplot $<

%.png: %.eps
	@echo "conversion in png format"
	@convert -density 300 $< $*.png 
	@echo "end"

• Template:Graph:Chart
• Wikipedia:Manual of Style (mathematics)
• Wikipedia:Graphics tutorials
• Wikipedia:Picture tutorial
• meta:Help:Displaying a formula#Commutative diagrams
• Template talk:Probability distribution#Standard Plots
• commons:Commons:Chart and graph resources
• Wikipedia:Don't draw misleading graphs