mandel1.p8

pico-8 cartridge // http://www.pico-8.com
version 29
__lua__
iterations=100
cutoff=2
camx=-.5
camy=0
cam_width=2
colors={1,2,5,4,3,13,9,8,14,6,15,12,11,10,7}
zoom_ratio=1.025
move_amount=1/32

function mandel(screenx,screeny)
 local x=(screenx/63.5 - 1)
 local y=(screeny/63.5 - 1)
 x=camx + x*cam_width/2
 y=camy + y*cam_width/2
 local zx=0
 local zy=0
 for i=1,iterations do
  if abs(zx)+abs(zy) > cutoff then
   return colors[1+flr(i/iterations*15+rnd()-.5)]
  end
 
  local next_zx = zx*zx-zy*zy + x
  local next_zy = 2*zy*zx + y
  zx = next_zx
  zy = next_zy
 end
 
 return 0
end

function _init()
 deactivate_settings()
 menuitem(2,"toggle debug",toggle_debug)
 debug_val=0
end

function activate_settings()
 menuitem(1,"navigate",deactivate_settings)
 settings_active=true
end

function deactivate_settings()
 menuitem(1,"settings",activate_settings)
 settings_active=false
end

function toggle_debug()
 debug_val+=1
 if debug_val > 2 then
  debug_val=0
 end
end

function _update60()
 if moved then
  return
 end
 
 if settings_active then
  if btn(0) then
   moved=true
   iterations/=zoom_ratio
  end
  if btn(1) then
   moved=true
   iterations*=zoom_ratio
  end
  if btn(2) then
   moved=true
   cutoff*=zoom_ratio
  end
  if btn(3) then
   moved=true
   cutoff/=zoom_ratio
  end
 else
  if btn(0) then
   moved=true
   camx-=cam_width*move_amount
  end
	 if btn(1) then
   moved=true
   camx+=cam_width*move_amount
  end
  if btn(2) then
   moved=true
   camy-=cam_width*move_amount
  end
  if btn(3) then
   moved=true
   camy+=cam_width*move_amount
  end
 end
 if btn(4) then
  new_cam_width=cam_width/zoom_ratio
  if new_cam_width > 0x0000.0040 then
   cam_width=new_cam_width
   moved=true
  end
 end
 if btn(5) then
  new_cam_width=cam_width*zoom_ratio
  if new_cam_width > 0 then
   cam_width=new_cam_width
   moved=true
  end
 end
end

redraw_steps={
 {0,1},
 {1,0},
 {1,1}
}
max_draw_width=16 // must be power of 2
sweep_divides=4
draw_width=max_draw_width
moved=true
function _draw()
 if moved then
  co_draw=cocreate(co_draw_f)
 end
 if costatus(co_draw) != "dead" then
  assert(coresume(co_draw))
 end
 if debug_val < 2 then
  if debug_val == 1 then
   rectfill(0,0,80,30,0)
  end
  print(camx..","..camy,0,0,7)
  print("w"..cam_width,0,6,7)
  print("i"..iterations,0,12,7)
  print("c"..cutoff,0,18,7)
  print("f"..stat(7),0,24,7)
 end
end

function co_draw_f()
 cls()
 moved=false
 draw_width=max_draw_width
 
 for x=0,127,draw_width do
  for y=0,127,draw_width do
   if stat(1) > 0.95 then
    yield()
   end
   rectfill(x,y,x+draw_width-1,y+draw_width-1,mandel(x,y,0,0,iterations))
  end
 end
 
 draw_width/=2
 redraw_i=1
 redraw_col=0
 redraw_row=0
 
 while draw_width >= 1 do
  local step=redraw_steps[redraw_i]  

  for s=0,sweep_divides-1,1 do
   local xoff=(2*s+step[1])*draw_width
   local yoff=(step[2])*draw_width
   for x=xoff,127,draw_width*2*sweep_divides do
    for y=yoff,127,draw_width*2 do
     if stat(1) > 0.95 then
      yield()
     end
     rectfill(x,y,x+draw_width-1,y+draw_width-1,mandel(x,y,0,0,iterations))
    end
   end
  end
  redraw_i+=1
  
  if redraw_i > #redraw_steps then
   redraw_i=1
   draw_width/=2
  end
 end
end
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