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C and Gnuplot can be used to plot complex functions. One can write the function in C and then write the values of the function at various values in a txt file, which can then be plotted using Gnuplot. The txt file should have numerical values in at least two columns. The first column is for x values.
An excellent C++ library to plot graphs is ROOT. It was developed by CERN for physicists. It also includes a C++ shell, in case you want to use C++ with an interactive prompt. You can find the documentation, download links, and lots of examples, at https://root.cern/.
A plot is a graphical technique for representing a data set, usually as a graph showing the relationship between two or more variables. The plot can be drawn by hand or by a computer. In the past, sometimes mechanical or electronic plotters were used.
Plot. The plot() function is used to draw points (markers) in a diagram. The function takes parameters for specifying points in the diagram. Parameter 1 specifies points on the x-axis. Parameter 2 specifies points on the y-axis.
There is OxyPlot which I recommend. It has packages for WPF, Metro, Silverlight, Windows Forms, Avalonia UI, XWT. Besides graphics it can export to SVG, PDF, Open XML, etc. And it even supports Mono and Xamarin for Android and iOS. It is actively developed too.
There is also a new (at least for me) open source .NET plotting library called Live-Charts. The plots are pretty interactive. Library suports WPF, WinForms and UWP. Xamarin is planned. The design is made towards MV* patterns. But @Paweł Audionysos suggests not such a good performance of Live-Charts WPF.
ZedGraph is a good choice.
See Samples Environment for Microsoft Chart Controls:
The samples environment for Microsoft Chart Controls for .NET Framework contains over 200 samples for both ASP.NET and Windows Forms. The samples cover every major feature in Chart Controls for .NET Framework. They enable you to see the Chart controls in action as well as use the code as templates for your own web and windows applications.
Seems to be more business oriented, but may be of some value to science students and scientists.
gnuplot is an actively maintained program widely used in the scientific community. Normally plots are generated from data files which you can write out in your C# program, but it is also possible to call the gnuplot executable from C# and display the generated image in a C# picture box.
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