Mandelbrot fractal maker

[kraftman]

Thanks for all of your help Kraftman!!

My pleasure.
Good night.

[GijsB]

oh god i cant fix it, this is what i have now =

Code: Select all

resolution =2

size = 300
kt = 50
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
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*0.9
		xmax = xmax*0.9
		run()
	elseif k == "a" then
		xmin = xmin/0.9
		xmax = xmax/0.9
		run()
	elseif k == "s" then
		ymin = ymin*0.9
		ymax = ymax*0.9
		run()
	elseif k == "w" then
		ymin = ymin/0.9
		ymax = ymax/0.9		
		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]

oh god i cant fix it, this is what i have now =

Code: Select all

resolution =2

size = 300
kt = 50
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
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*0.9
		xmax = xmax*0.9
		run()
	elseif k == "a" then
		xmin = xmin/0.9
		xmax = xmax/0.9
		run()
	elseif k == "s" then
		ymin = ymin*0.9
		ymax = ymax*0.9
		run()
	elseif k == "w" then
		ymin = ymin/0.9
		ymax = ymax/0.9		
		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

you forgot to update dx and dy

[GijsB]

kraftman, thanks but no,

when you update the dx and dy when changing your look from left to right, up and down, you change the size of the mandelbrot, not the look, test it out yourself

[kraftman]

kraftman, thanks but no,

when you update the dx and dy when changing your look from left to right, up and down, you change the size of the mandelbrot, not the look, test it out yourself

That's my point. It's only because you aren't adding the dx and dy that you can't see that what you are doing is wrong.

Changing the xmax part of your code:

Code: Select all

xmin = xmin*0.9
xmax = xmax*0.9
run()

does nothing at all, since xmax is not used in run(). The only reason it appears to do what you intended is that jx is based on xmin, and xmin is changed.

However, once you try and zoom in or out, the new and incorrect xmax is used to calculate a new dx, which in turn is wrong.

Simply put:
If you wish to move about across the graph, you need to increase xmax and xmin by the same amounts.
If you wish to zoom into the graph, you need to increment xmax and xmin by opposite amounts.

[GijsB]

but how do i move up and down then 3:?

( or i dont understand you again, sorry )

Edit = oh my god i just cant get it to work and i still dont understand what i do wrong , can you just please make the piece of code for me and explain for everything why =3?

[kraftman]

but how do i move up and down then 3:?

( or i dont understand you again, sorry )

ok, lets say we draw a graph, and its axis go from x = 0 to x = 10, and from y = 0 to y = 10.

if we have a line from x = 3, y = 3 to x = 7, y = 7 then it will draw a diagonal across the middle of the graph.

If we want to make the lien appear to move, without changing its coordinates, we can simpyl redraw the graph, with axis from x = 3 to x = 13, y = 3, y = 13.
If the graph remains the same size, the line will appear to have moved 3 points to the left, and 2 down.

If we wanted to make the line larger, we could change the axis to x = 3 to x = 7, y = 3 to y = 7, Which would make the diagonal appear to go from one corner of the graph to the other.

[GijsB]

oh my god..

i feeling dumb,

because i still dont understand ):

can you please make it(i know its bad), and just explain every line ):?

[kraftman]

If you explain this line

Code: Select all

 if tx*tx+ty*ty<=m and k<kt then 

I'll re-write the whole thing for you and comment every single line.

[GijsB]

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: