I tried coding something in c#, which generates a mandelbrot set image (with smooth coloring), and it worked but produced very slow, probably because c# isn't the best language for it. What woould be the best language to generate lots of images in the shortest time?
Best language for generating Mandelbrot Set images?
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The programming language does not matter. The fastest is to do the calculation on the GPU using eg CUDA or OpenCL.
Just do a search for Mandelbrot Set Realtime GPU. Some examples that I found:
(Disclaimer, none of them is mine, but I use Renderscript for a similar purpose in Android)
Side note 1: You can also implement a fractal renderer directly in C# and it will be equally fast as any other in C or C#, but you should not create new objects on the heap for each calculation step (or use a library for complex numbers that does exactly this). Either use double-variables or reuse existing objects.
Side note 2: Using arbitrary precision will always be slow.