import turtle,random,math

X = 100
Y = 100
T = 20
L = 5/6*T	
N = 213

assi = ()

def impostazioni():
	turtle.title("Ago di Buffon")
	turtle.setworldcoordinates(-(X+2), -(Y), X+2, Y)
	turtle.hideturtle()
	turtle.speed(0)

def vai(x, y):
	turtle.pu() 
	turtle.goto(x,y)
	turtle.pd()

def parquet(t):
	global X,assi
	vai(-X,-Y)
	for x in range(-X,X+1,t):
		assi += x,
		turtle.lt(90)
		turtle.goto(x,Y)
		vai(x,-Y)
		turtle.rt(90)
		vai(x+t,-Y)

def ago(l):
	vai(random.uniform(-X,X), random.uniform(-Y,Y))
	x1 = turtle.xcor()
	turtle.lt(random.uniform(0,360))
	turtle.fd(l)
	x2 = turtle.xcor()
	for x in assi:
		if (x1 < x < x2) or (x2 < x < x1): 
			turtle.pencolor("red")
			turtle.bk(l)
			turtle.pencolor("black") 
			return 1
	return 0
	
impostazioni()		
parquet(T)
p = 0
for i in range(N):
	p += ago(L)
	try:
		π = (2*L)/(T*p/N)
	except ZeroDivisionError:
		π = 0
	print(π)
print("Scarto:",abs(100-(π/math.pi*100)),"%")
turtle.mainloop()