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type Fractal{T <: FloatingPoint}
z::Array{Complex{T}, 2}
c::Array{Complex{T}, 2}
step::Function
function Fractal(imgsize, make_c = z -> z, step = (z, c) -> z.^2 + c)
aspect_ratio = imgsize[2] / imgsize[1]
if imgsize[1] < imgsize[2]
range_x = (-2.0, 2.0)
range_y = (-2.0 * aspect_ratio, 2.0 * aspect_ratio)
else
range_x = (-2.0 / aspect_ratio, 2.0 / aspect_ratio)
range_y = (-2.0, 2.0)
end
line_x = linspace(range_x[1], range_x[2], imgsize[1])
line_y = linspace(range_y[1], range_y[2], imgsize[2])
plane = [ complex(x, y) for x=line_x, y=line_y ]
c = make_c(plane)
if !isa(c, Array)
c = ones(plane) .* c
end
new(plane, c, step)
end
end
function step{T <: FloatingPoint}(f::Fractal{T})
f.z = f.step(f.z, f.c)
end
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