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julia.jl
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julia.jl
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#!/usr/bin/env julia
# Calculate Julia set in Julia
import GR
function julia(z, c, iters)
ci = 0
inc = 1
for i in 0:iters
z = z^2 + c
if abs2(z) >= 4
return ci
end
ci += inc
if ci == 0 || ci == 255
inc = -inc
end
end
return 255
end
function main()
function create_fractal(min_x, max_x, min_y, max_y, image, iters)
height = size(image, 1)
width = size(image, 2)
pixel_size_x = (max_x - min_x) / width
pixel_size_y = (max_y - min_y) / height
for i in 1:width
real = min_x + (i - 1) * pixel_size_x
for j in 1:height
imag = min_y + (j - 1) * pixel_size_y
color = julia(complex(real, imag), seed, iters)
image[j, i] = color
end
end
end
seed = complex(-0.156844471694257101941, -0.649707745759247905171)
x, y = (-0.16, -0.64)
f = 1.5
for i in 0:100
image = zeros(Int32, 500, 500)
dt = @elapsed create_fractal(x-f, x+f, y-f, y+f, image, 500)
println("Julia set created in $dt s")
GR.clearws()
GR.setviewport(0, 1, 0, 1)
GR.setcolormap(13)
GR.cellarray(0, 1, 0, 1, 500, 500, image .+ 1000)
GR.updatews()
f *= 0.9
end
end
main()