64 lines
1021 B
Python
64 lines
1021 B
Python
|
# Datei: chaosplotter.py
|
||
|
|
# Autor: Gregor Lingl
|
||
|
|
# Datum: 31. 5. 2008
|
||
|
|
|
||
|
|
# Ein einfaches Programm zur Demonstration von "chaotischem Verhalten".
|
||
|
|
|
||
|
|
from turtle import *
|
||
|
|
|
||
|
|
def f(x):
|
||
|
|
return 3.9*x*(1-x)
|
||
|
|
|
||
|
|
def g(x):
|
||
|
|
return 3.9*(x-x**2)
|
||
|
|
|
||
|
|
def h(x):
|
||
|
|
return 3.9*x-3.9*x*x
|
||
|
|
|
||
|
|
def coosys():
|
||
|
|
penup()
|
||
|
|
goto(-1,0)
|
||
|
|
pendown()
|
||
|
|
goto(n+1,0)
|
||
|
|
penup()
|
||
|
|
goto(0, -0.1)
|
||
|
|
pendown()
|
||
|
|
goto(-0.1, 1.1)
|
||
|
|
|
||
|
|
def plot(fun, start, farbe):
|
||
|
|
x = start
|
||
|
|
pencolor(farbe)
|
||
|
|
penup()
|
||
|
|
goto(0, x)
|
||
|
|
pendown()
|
||
|
|
dot(5)
|
||
|
|
for i in range(n):
|
||
|
|
x=fun(x)
|
||
|
|
goto(i+1,x)
|
||
|
|
dot(5)
|
||
|
|
|
||
|
|
def main():
|
||
|
|
global n
|
||
|
|
n = 80
|
||
|
|
ox=-250.0
|
||
|
|
oy=-150.0
|
||
|
|
ex= -2.0*ox / n
|
||
|
|
ey=300.0
|
||
|
|
|
||
|
|
reset()
|
||
|
|
setworldcoordinates(-1.0,-0.1, n+1, 1.1)
|
||
|
|
speed(0)
|
||
|
|
hideturtle()
|
||
|
|
coosys()
|
||
|
|
plot(f, 0.35, "blue")
|
||
|
|
plot(g, 0.35, "green")
|
||
|
|
plot(h, 0.35, "red")
|
||
|
|
for s in range(100):
|
||
|
|
setworldcoordinates(0.5*s,-0.1, n+1, 1.1)
|
||
|
|
|
||
|
|
return "Done!"
|
||
|
|
|
||
|
|
if __name__ == "__main__":
|
||
|
|
main()
|
||
|
|
mainloop()
|