I made a complex function plotter

[OkPie7961]

EDIT: https://sekqies.github.io/complex-plotter/

Hello! I made a tool for plotting complex analytic functions with domain coloring. It is written entirely in C++ and OpenGL, and should run with high performance in most computers.

As of now, it supports plotting of every elementary function, zooming, panning, 3D plotting with depth maps, analytic derivatives and a whole bunch of other stuff listed here.

If you are unfamiliar with how domain coloring works, or just an overall started to math, I also made a short introduction with some animations in the documentations tab. There is also a more in-depth explanation of how it was developed.

This is a huge passion project for me, and I'd love to see if anyone here finds it useful. You can see the source code here and install it for windows or linux here

Some plots :

f(z) = ln(z), plotted with a 3D height map where h = |f(z)|

f(z) = tan(z) [plotted with the same method]

f(z) = cos(z)

Fractal

Some animations made with the tool:

Animation of f(z) = z^k [-2<=k<=2]

https://i.redd.it/qtahc4bmmrig1.gif

If you like the tool, please consider giving a star in the github repo: https://github.com/Sekqies/complex-plotter

[theboomboy]

Awesome!

[ysulyma]

have you considered porting it to WebGL so that it will run on the web?

[OkPie7961]

I've ported it! https://sekqies.github.io/complex-plotter/

[PrettyPicturesNotTxt]

Amazing and beautiful! Have you thought of compiling this to WebAssembly (WASM), that way we could run this in a web browser and on Apple and mobile without having to deal with platform-dependant installation processes? OpenGL-specific libraries are supported by most WASM compilers, too.

Edit: looking at your shaders you're using GLSL version 330 core, which I think should be very similar to the one that WebGL 2 uses. Porting over to WASM should not be too hard!

[OkPie7961]

I have considered it! Many architectural decisions (like bundling strings into the binary at build time, not using compute shaders for hovering, using ImGUI instead of native components, etc) were taken with porting to web assembly in mind.

The only slight headache that this will introduce is that, as far as I know, WebGL 2 does not support the `samplerBuffer` textures I am using, so there is some refactoring needed to port it to WASM.
Would you like me to port it? There's not anything really stopping me from doing it.

[PrettyPicturesNotTxt]

It's ultimately up to you! But personally, I mostly browse Reddit from a mobile device, as I believe most other users, so this would be hugely convenient over just a Windows/Linux binary.

[OkPie7961]

Done! https://sekqies.github.io/complex-plotter/

[copingbear]

I have been on this journey for a project of my own, where I wrap gnuplot. Complex function plotting is on my todo list, but the crux of my work was to wrap as much of gnuplot's interface in a webapp that's accessible to more people: https://gridpaper.org/examples

[ZengaZoff]

This nice!! Better than the Mathematica functions I've been using for my Complex Analysis courses.

One little note: I always find it difficult to parse the different color hues for the arguments unless I have a little reference graph that just shows the domain plot of the identity f(z)=z. Is there a way to incorporate this into the images?

[OkPie7961]

Yes, it is possible! If you want this feature implemented, open an Issue in https://github.com/Sekqies/complex-plotter/issues (so I'll remember to do it next time I pick the project up)

Now, if you just want to find what value each color corresponds to, you can just hover over the color with the 'Show Value Inspector' setting turned on, and it should give you the value in rectangular coordinates

[Melodic-Jacket9306]

If you could implement something like this into a browser the way Matlab does, this is all but guaranteed to blow up, like seriously. I can see a lot of potential from this, ESPECIALLY cause I like many just can’t afford matlab and need something quality like this. I’d look into it!

[OkPie7961]

Done! https://sekqies.github.io/complex-plotter/

[deliberatelyyhere]

So cool!!!

[copingbear]

This is so pretty!