In my attempts to practice Julia, I've made a program which draws a bifurcation diagram. My code is as follows:
function bifur(x0,y0,a=1.3,b=0.4,n=1000,m=10000)
i,x,y=1,x0,y0
while i < n && abs(x) < m
x,y = a - x^2 + y, b * x
i += 1
end
if abs(x) < m
return x
else
return 1000
end
end
la = Float64[];
lx = Float64[];
for a=0:400
for j = 1:1000
x0 = rand()
y0 = rand()
x = bifur(x0,y0,a/100)
if x != 1000
push!(la,a/100)
push!(lx,x)
end
end
end
using Gadfly
myplot = Gadfly.plot( x=la, y=lx , Scale.x_discrete, Scale.y_continuous, Geom.point)
draw(PNG("myplot.png",10inch,8inch),myplot)
The output I get is this image:
In order to make my plot look more like this: I need to be able to set point sizes to as small as one pixel. Then by increasing the iteration length I should be able to get a better bifurcation diagram. Does anyone know how to set the point sizes in Gadfly diagrams in Julia?
[Just to encapsulate the comments as an answer...]
Gadfly's Theme defaults can be changed. In particular, point_size
is probably what you are looking for.
For changing the automatic plot scale/range settings, have a look at Gadfly's Scale params.
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