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A tiny mandelbot fractal generator written in F#
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open System.Numerics | |
open System.Drawing | |
let mandelbrotTest c z = Complex.Pow(z, 2.0) + c | |
let rec inSet c iterations z = | |
let i = iterations - 1 | |
let newz = mandelbrotTest c z | |
if newz.Magnitude > 2.0 then (c, false, i) else | |
if iterations > 0 then inSet c i newz else (c, true, i) | |
[<EntryPoint>] | |
let main argv = | |
let p0 = new Complex(0.0, 0.0) | |
let iterations = 50 | |
let plot = | |
let stepSize = 0.01 | |
seq { for i in -2.0 .. stepSize .. 2.0 do | |
for j in -2.0 .. stepSize .. 2.0 do | |
yield new Complex(i, j)} | |
let resultsToPlot = Seq.map (fun x -> inSet x iterations p0) plot | |
let imageResult = new Bitmap(401, 401) | |
Seq.iter (fun (a : Complex, b, i) -> imageResult.SetPixel(System.Convert.ToInt32(((a.Real + 2.0) * 100.0)), System.Convert.ToInt32(((a.Imaginary + 2.0) * 100.0)), if b then Color.Black else Color.White)) resultsToPlot | |
imageResult.Save("mandelbrot.bmp") | |
printf "done" | |
0 |
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These 25-ish lines of code produce a very basic Mandlebrot plot. This can easily be extended to add color to the different iteration cycles, or tweaked to scale up the detail and resolution.