michalkonecny / exact-function-plotter

An exact-real function plotter in the browser

Exact Function/Curve/Fractal Plotter

A web widget for reliably plotting function graphs, parametric curves and certain fractals.

Try it now!

Beware: The UI and plotting is quite slow due to the cost of reliable arbitrary-accuracy arithmetic running within your browser.

To speed up rendering, tune the plots with very low accuracy and increase accuracy only for the final rendering.

Examples

The above images are obtained by drawing shapes that reliably enclose the exact objects. In particular, rounding errors are correctly accounted for. These graphical enclosures can be computed to an arbitrarily high accuracy.
In the images below the same objects are plotted with a low accuracy so that the shapes are easy to see.

The following are high and low accuracy plots of an infinitely winding spiral:

Also, see the screenshots folder and slides for a school outreach featuring plots produced by this tool.

exact-function-plotter's Issues

incorrect enclosure sqrt over sine

When plotting function (sqrt((sin(20*x))+1))-0.5 over the [-1,1] with the default accuracy 100, there is a segment with an obviously incorrect enclosure near -0.1.

plotter dies when exceptions occur

The plotter becomes silently unresponsive when an exception occurs, eg when trying to plot sqrt(x) for negative x. It should plot the graph wherever it is defined.

add svg export

The plotter becomes silently unresponsive when an exception occurs, eg when trying to plot sqrt(x) for negative x. It should plot the graph wherever it is defined.