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ÿïíÎÿÿÿïÝÝíîÞîïïÝÝïÌ ªªªªªªªªªªªªªªªªªªº» ÿïÍ ¹íÿÿÿÿîîÞÝÝÝÝÝÍÌ ÿîîîîîþÿÿÿÿÿÿÿÿÿïîÝÌ þÿÿÿÿÿÿÿÿÿß«ýÿÿîîîþÿ """3033DD@D """ " 33330DDDD@DD"" "  "3000303DDDDDD@D"" "   300033DD@D" "" "0333303D@DDD@DH -- title: pixelLyapunov -- author: shine -- source: Nehmain java source code -- desc: pixelized Lyapunov fractal computing -- script: lua cls() -- setup fractal periode='1112111' initial=math.random(0,3) iterations=3 width =40 height=40 k11=3.54 k12=3.57 k21=3.45 k22=3.61 x0=0.55 -- precalc mathLog2=math.log(2) -- setup GUI t=0 stepX=0 stepY=1 inc=0 tstampstart=tstamp() iterationSum=0 -- TIC-TAC function TIC() t=t+1 if btn(0) then periode='1212111' end if btn(1) then periode='1122211' end if btn(2) then periode='1112111' end if btn(3) then periode='1112211' end -- steps -- if t%20==1 then if true then inc=inc+1 stepX=stepX+1 lyapunov(stepX,stepY) -- colonnes if stepX>=5 then stepX=0 stepY=stepY+1 end -- lignes if stepY>=4 then stepY=1 stepX=0 initial=math.random(0,3) end info(iterations,initial) panel() end end -- fractal de Lyapunov function lyapunov(stepX,stepY) -- steps initial=initial+stepX//4 iterations=iterations+stepX if iterations>20 then iterations=3 end -- tracage for pixelX=0,width do k2=pixelX/width*(k22-k21)+k21 for pixelY=0,height do k1=pixelY/height*(k12-k11)+k11 x=x0 exposant=0 for i=0,initial do x=cycle(i,k1,k2)*x*(1-x) end for i=0,iterations do x=cycle(i,k1,k2)*x*(1-x) exposant=exposant+math.log(math.abs(cycle(i,k1,k2)*(1-2*x)))/mathLog2 end exposant=exposant/iterations if exposant<0 then color=math.ceil(math.max(0,(1+exposant)*15)) else color=math.ceil(math.min(15,(1-exposant)*16)) end -- pixel + steps pix( pixelX+(stepX-1)*width*1.05, pixelY+(stepY-1)*height*1.05, color ) end end end function cycle(i,k1,k2) longeur=string.len(periode) modulo=(i%longeur)+1 if(string.sub(periode,modulo,modulo))=='1' then return k1 else return k2 end end -- info fract function info(iterations,initial) rect(0,130,240,140,0) print('iter '..iterations,0,130,2) print('loc ' ..math.ceil(initial),40,130,3) print('num ' ..inc,80,130,4) iterationSum=iterationSum+iterations print('bench ' ..math.floor(1/( (tstamp()-tstampstart) / iterationSum )),120,130,5) end -- command panel function panel() rect(210,0,240,140,0) print('ARROW',210,0,5,false,1) print('period',210,10,5) print(periode,210,20,6) end