Mandelbrot fractal maker

[kraftman]

is has to do with the C and Z number thingys(search it up) and the amount of iritations.

and i have writen this code a long loonng time ago

and i dont even want to try to understand it again, atleast THAT part 3:

Take a look at this:
http://www.wolframalpha.com/input/?i=x^ ... +-30%2C+30

ignore the equation, I'm just using it to draw a circle

look what happens when we scale the x and y ranges:

http://www.wolframalpha.com/input/?i=x^ ... +-20%2C+20

and when we translate the x range:

http://www.wolframalpha.com/input/?i=x^ ... +-20%2C+20

or the y range:

http://www.wolframalpha.com/input/?i=x^ ... +-15%2C+25

[GijsB]

GOT IT

AND THANKS KRAFTMAN

Code: Select all

resolution = 4

size = 600
kt = 100
m = 4.0
xmin = 2.1
xmax = -0.6
ymin = -1.5
ymax = 1.5
dx = (xmax-xmin)/size
dy = (ymax-ymin)/size
pixels = {}
function run()
pixels = {}
function MainCalculation(jx, jy, wx, wy, k)
   local tx = wx*wx-(wy*wy+jx)
   local ty = 2.0*wx*wy+jy
   if tx*tx+ty*ty<=m and k<kt then 
      return MainCalculation(jx, jy, tx, ty, k + 1)
   end
   return k/2
end
for x = 0,size,resolution do
   local jx = xmin+x*dx
   for y = 0,size,resolution do
      local jy = ymin+y*dy
      table.insert(pixels,{X = x, Y = y, C = MainCalculation(jx, jy, 0, 0, 0)})
   end
end
end
run()
function love.draw()
	for i,v in pairs(pixels) do
		love.graphics.setColor( -v.C, -v.C, -v.C, 255 )
		love.graphics.rectangle("fill",v.X,v.Y,resolution,resolution)
	end
end
function love.keypressed(k)
   if k == "d" then
      xmin = xmin+dx*10
      xmax = xmax+dx*10
      dx = (xmax-xmin)/size
      run()
   elseif k == "a" then
      xmin = xmin-dx*10
      xmax = xmax-dx*10
      dx = (xmax-xmin)/size
      run()
   elseif k == "s" then
      ymin = ymin+dy*10
      ymax = ymax+dy*10
      dy = (ymax-ymin)/size
      run()
   elseif k == "w" then
      ymin = ymin-dy*10
      ymax = ymax-dy*10
      dy = (ymax-ymin)/size   
      run()
   elseif k == "q" then
      xmin = xmin*0.9
      xmax = xmax*0.9
      ymin = ymin*0.9
      ymax = ymax*0.9
      dx = (xmax-xmin)/size
      dy = (ymax-ymin)/size
      run()
   elseif k == "e" then
      xmin = xmin/0.9
      xmax = xmax/0.9   
      ymin = ymin/0.9
      ymax = ymax/0.9
      dx = (xmax-xmin)/size
      dy = (ymax-ymin)/size
      run()
   end
end

[kraftman]

GOT IT

AND THANKS KRAFTMAN

Code: Select all

resolution = 4

size = 600
kt = 100
m = 4.0
xmin = 2.1
xmax = -0.6
ymin = -1.5
ymax = 1.5
dx = (xmax-xmin)/size
dy = (ymax-ymin)/size
pixels = {}
function run()
pixels = {}
function MainCalculation(jx, jy, wx, wy, k)
   local tx = wx*wx-(wy*wy+jx)
   local ty = 2.0*wx*wy+jy
   if tx*tx+ty*ty<=m and k<kt then 
      return MainCalculation(jx, jy, tx, ty, k + 1)
   end
   return k/2
end
for x = 0,size,resolution do
   local jx = xmin+x*dx
   for y = 0,size,resolution do
      local jy = ymin+y*dy
      table.insert(pixels,{X = x, Y = y, C = MainCalculation(jx, jy, 0, 0, 0)})
   end
end
end
run()
function love.draw()
	for i,v in pairs(pixels) do
		love.graphics.setColor( -v.C, -v.C, -v.C, 255 )
		love.graphics.rectangle("fill",v.X,v.Y,resolution,resolution)
	end
end
function love.keypressed(k)
   if k == "d" then
      xmin = xmin+dx*10
      xmax = xmax+dx*10
      dx = (xmax-xmin)/size
      run()
   elseif k == "a" then
      xmin = xmin-dx*10
      xmax = xmax-dx*10
      dx = (xmax-xmin)/size
      run()
   elseif k == "s" then
      ymin = ymin+dy*10
      ymax = ymax+dy*10
      dy = (ymax-ymin)/size
      run()
   elseif k == "w" then
      ymin = ymin-dy*10
      ymax = ymax-dy*10
      dy = (ymax-ymin)/size   
      run()
   elseif k == "q" then
      xmin = xmin*0.9
      xmax = xmax*0.9
      ymin = ymin*0.9
      ymax = ymax*0.9
      dx = (xmax-xmin)/size
      dy = (ymax-ymin)/size
      run()
   elseif k == "e" then
      xmin = xmin/0.9
      xmax = xmax/0.9   
      ymin = ymin/0.9
      ymax = ymax/0.9
      dx = (xmax-xmin)/size
      dy = (ymax-ymin)/size
      run()
   end
end

I give up. :'(

[GijsB]

what?

IT WORKS

and i understand it know

when changing your look = you can change the x and the y, but the diffrence between max-min must keep the same.
when zooming in = you must smaller the x and y

[kraftman]

what?

IT WORKS

and i understand it know

when changing your look = you can change the x and the y, but the diffrence between max-min must keep the same.
when zooming in = you must smaller the x and y

it doesnt zoom to the center of the current view.

[GijsB]

i already thought of that

change xmax to -1.5 and xmin to 1.5

so when you mutliply, or divide, you get the same numbers as when dividing and mulitplying with y(because that was the problem; you got diffrent numbers)

[kraftman]

That'll only work if you only zoom without panning.

[GijsB]

._.

i give up too now.

[GijsB]

I now know what was wrong with the code and what was wrong with the scaling and moving and zooming etc..

so finnaly :

(move with 'wasd', zoom in and out with mousewheel, increase iterations with and 'u' and 'j' and increase size with 'y' and 'h')
(improvements ideas?)

[Roland_Yonaba]

I now know what was wrong with the code and what was wrong with the scaling and moving and zooming etc..

so finnaly :

(move with 'wasd', zoom in and out with mousewheel, increase iterations with and 'u' and 'j' and increase size with 'y' and 'h')
(improvements ideas?)

Well, not yet.

Code: Select all

--line 86 throws an error, when pressing wheel down button
scaleymax = sizeymax+zoomspeed

main.lua: 86: attempt to perform arithmetic on global 'sizeymax' ( anil value)