Created
August 25, 2024 19:07
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picotron lorenz attrator
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| local width=480 | |
| local height=270 | |
| local sigma = 10; | |
| local rho = 28; | |
| local beta = 8.0 / 3.0; | |
| local x=0.1 | |
| local y=0 | |
| local z=0 | |
| local dt=0.01 | |
| local pts = {} | |
| local MAX_POINTS=5000 | |
| -- lifted from processing | |
| function map(val,istart,istop,ostart,ostop) | |
| return ostart + (ostop-ostart)*((val-istart)/(istop-istart)) | |
| end | |
| function _init() | |
| end | |
| function _draw() | |
| if #pts>MAX_POINTS then | |
| print("fin",0,0) | |
| else | |
| cls(0) | |
| for i,v in pairs(pts) do | |
| pset(v.x,v.y,9) | |
| end | |
| end | |
| end | |
| function _update() | |
| if #pts>MAX_POINTS then | |
| return | |
| end | |
| local dx = sigma * (y - x); | |
| local dy = x * (rho - z) - y; | |
| local dz = x * y - beta * z; | |
| x = x + dx*dt | |
| y = y + dy*dt | |
| z = z + dz*dt | |
| mappedX = math.floor(map(x,-20,20,0,width)) | |
| mappedY = math.floor(map(y,-30,30,0,height)) | |
| add(pts,{x=mappedX,y=mappedY}) | |
| end |
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