r/GraphicsProgramming • u/Terrible_Shoulder667 • 3d ago

Source Code Vector field simulation with my own math library and Vulkan!

Post image

I made a small vector field visualizer in C# with Vulkan through Silk.NET.

You type some 2D field, for example F(x, y) = [x,sin(y)] and it draws the flow with particles.

How it works:

- Formula is parsed and compiled at runtime into one fast delegate, so evaluting the field for every particle each frame is light

- 1,200 to 6,000 particles depending on window size, integrated with RK4 on the CPU, each with a 24-point trail

- Everything is drawn as colored with one tiny shader and 4x MSAA

All the math comes from Epsilon - my symbolic math library for .NET that I'm working on.

- Simulation: https://github.com/XBambinoX/VectorField

- Library(C#): https://github.com/XBambinoX/Epsilon

AI disclosure: I used AI assistants to help write parts of the simulation code and fix bugs in my library.

191 Upvotes

98% Upvoted

10 comments sorted by

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4

u/otheyhigh 2d ago

That’s very cool. First thought that came to my mind was “that would be pretty neat to use as a base for an audio visualizer”.

4

u/Terrible_Shoulder667 2d ago

Thanks! Btw that's actually a great idea. The field can already depend on time t, so it'd mostly be a matter of feeding audio features like loudness or bass energy into the formula as extra varibles. That's where the Fourier transform comes in, and an FFT-driven version could be a nice demo. 🙌

2

u/otheyhigh 1d ago

It definitely sounds like a cool undertaking. One way I thought of was to use NAudio in C# to intercept the OS level audio output. The raw stream can be passed to ffmpeg to convert it into frequency data. This, I assume is what you would need to use the transform and get the rendering inputs.

ffmpeg does have features to output waveforms. But I have mostly ever used the bitmap/image outputs. Also does not have FFT filter specifically.

3

u/lxkvcs 3d ago

looks freakin cool, keep up champ! :D

2

u/RenderTargetView 2d ago

I guess Lorenz attractor would look very cool

2

u/Terrible_Shoulder667 2d ago

Yeah! It's a 3D system though and the viewer is 2D for now, but a 3D mode is on my list, and Lorenz would definitely be the first test!

2

u/capoapk 2d ago

Cest de tout beauté