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Disk Model.py
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Disk Model.py
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from tkinter import Tk, Canvas, Button, Label, ALL
from numpy import pi,arccos,arctan,cos,sin,sqrt
from random import choice
t=5 # temps pour faire un pas
v=0.2 # vitesse
p=v*t # Pas
r=10 # Rayon des disques
N=100 # Nombre de gens
longueur=800
largeur=600
ys=largeur/2 #coordonnées de la sortie
xs=longueur+2*r
ps=0
temps=0
couleurs=['grey50', 'grey45', 'grey40','grey35', 'grey30','grey25','grey20','grey15','grey10']
def d(x,y,z,t):
return sqrt((x-z)**2+(y-t)**2)
def direction(i):
if xs>=x[i]:
if xs==x[i] :
if ys>y[i]:
u=pi/2
else:
u=-pi/2
else:
u=arctan((ys-y[i])/(xs-x[i]))
v=arccos(0.5*p/d(xs,ys,x[i],y[i]))
T=[]
for j in range(len(x)):
w=d(x[i],y[i],x[j],y[j])
if j!=i and w<p+2*r:
if x[i]==x[j]:
if y[j]>y[i]:
T.append([pi/2,arccos((p**2+w**2-4*(r**2))/(2*w*p))])
else:
T.append([-pi/2,arccos((p**2+w**2-4*(r**2))/(2*w*p))])
elif x[j]>x[i]:
T.append([arctan((y[j]-y[i])/(x[j]-x[i])),arccos((p**2+w**2-4*(r**2))/(2*w*p))])
else:
if y[j]>y[i]:
T.append([pi+arctan((y[j]-y[i])/(x[j]-x[i])),arccos((p**2+w**2-4*(r**2))/(2*w*p))])
else:
T.append([arctan((y[j]-y[i])/(x[j]-x[i]))-pi,arccos((p**2+w**2-4*(r**2))/(2*w*p))])
if x[i]<p+r :
T.append([pi,arccos((x[i]-r)/p)])
if longueur-x[i]<p+r and not(largeur/2.0-3*r<y[i]<largeur/2.0+3*r):
T.append([0,arccos((longueur-x[i]-r)/p)])
if y[i]<p+r :
T.append([-pi/2,arccos((y[i]-r)/p)])
if largeur-y[i]<p+r :
T.append([pi/2,arccos((largeur-y[i]-r)/p)])
nbcontact=len(T)
j=0
while j<len(T) :
g=T[j]
if g[0]-g[1]<-pi :
T.pop(j)
T.append([(g[0]+g[1]-pi)/2,(g[0]+g[1]+pi)/2])
T.append([(g[0]-g[1]+3*pi)/2,(-g[0]+g[1]-pi)/2])
elif g[0]+g[1]>pi :
T.pop(j)
T.append([(g[0]-g[1]+pi)/2,(pi-g[0]+g[1])/2])
T.append([(g[0]+g[1]-3*pi)/2,(g[0]+g[1]-pi)/2])
else:
j+=1
if nbcontact==0 :
return u,0
else:
o,sup,inf,s,t=1,u,u,u,u
while o==1:
o=0
for [a,b] in T :
if a-b<sup and s<a+b :
s=a+b
o=1
if a-b<t and inf<a+b :
t=a-b
o=1
sup=s
inf=t
if sup-u<u-inf and sup-u<=v:
return sup,nbcontact
if u-inf<=sup-u and u-inf<=v:
return inf,nbcontact
return 'bloqué',nbcontact
else:
u=pi+arctan((ys-y[i])/(xs-x[i]))
v=arccos(0.5*p/d(xs,ys,x[i],y[i]))
T=[]
for j in range(len(x)):
w=d(x[i],y[i],x[j],y[j])
if j!=i and w<p+2*r:
if x[i]==x[j]:
if y[j]>y[i]:
T.append([pi/2,arccos((p**2+w**2-4*(r**2))/(2*w*p))])
else:
T.append([3*pi/2,arccos((p**2+w**2-4*(r**2))/(2*w*p))])
elif x[j]>x[i]:
if y[j]>y[i]:
T.append([arctan((y[j]-y[i])/(x[j]-x[i])),arccos((p**2+w**2-4*(r**2))/(2*w*p))])
else:
T.append([2*pi+arctan((y[j]-y[i])/(x[j]-x[i])),arccos((p**2+w**2-4*(r**2))/(2*w*p))])
else:
T.append([pi+arctan((y[j]-y[i])/(x[j]-x[i])),arccos((p**2+w**2-4*(r**2))/(2*w*p))])
if x[i]<p+r :
T.append([pi,arccos((x[i]-r)/p)])
if longueur-x[i]<p+r and not(largeur/2.0-3*r<y[i]<largeur/2.0+3*r):
T.append([0,arccos((longueur-x[i]-r)/p)])
if y[i]<p+r :
T.append([3*pi/2,arccos((y[i]-r)/p)])
if largeur-y[i]<p+r :
T.append([pi/2,arccos((largeur-y[i]-r)/p)])
nbcontact=len(T)
j=0
while j<len(T) :
g=T[j]
if g[0]-g[1]<0 :
T.pop(j)
T.append([(g[0]+g[1])/2,(g[0]+g[1])/2])
T.append([2*pi+(g[0]-g[1])/2,(g[1]-g[0])/2])
elif g[0]+g[1]>2*pi :
T.pop(j)
T.append([(g[0]+g[1]-2*pi)/2,(g[0]+g[1]-2*pi)/2])
T.append([(g[0]-g[1]+2*pi)/2,(2*pi-g[0]+g[1])/2])
else:
j+=1
if nbcontact==0 :
return u,0
else:
o,sup,inf,s,t=1,u,u,u,u
while o==1:
o=0
for [a,b] in T :
if a-b<sup and s<a+b :
s=a+b
o=1
if a-b<t and inf<a+b :
t=a-b
o=1
sup=s
inf=t
if sup-u<u-inf and sup-u<=v:
return sup,nbcontact
if u-inf<=sup-u and u-inf<=v:
return inf,nbcontact
return 'bloqué',nbcontact
def move():
global x,y,ps,cercle,temps
if ps==0:
finev=0
i=0
c=0
while i<len(x) :
if d(x[i],y[i],xs,ys)>2*r:
z=direction(i)
c+=z[1]
if z[0]!='bloqué' :
x[i]=x[i]+p*cos(z[0])
y[i]=y[i]+p*sin(z[0])
can1.coords(cercle[i][0],x[i]-r,y[i]-r,x[i]+r,y[i]+r)
can1.coords(cercle[i][1],x[i],y[i],x[i]+r*cos(z[0]),y[i]+r*sin(z[0]))
can1.itemconfigure(cercle[i][0],fill=couleurs[z[1]])
can1.itemconfigure(cercle[i][1],fill='red')
finev=1
i+=1
else :
can1.delete(cercle[i][0])
can1.delete(cercle[i][1])
cercle.pop(i)
x.pop(i)
y.pop(i)
temps+=1
duree.configure( text='Time : '+str(temps*5)+' ms')
nombre.configure( text='Number : '+str(len(x)))
contacts.configure(text='Collisions : '+str(c//2))
if finev==1:
fen1.after(t,move)
def initialiser():
global x,y,cercle,R,temps
temps=0
x=[0]*N
y=[0]*N
R=[[i,j]for i in range(1,longueur//(2*r)) for j in range(1,largeur//(2*r))]
[x[0],y[0]]=choice(R)
for i in range(1,N):
R.remove([x[i-1],y[i-1]])
[x[i],y[i]]=choice(R)
for i in range(N):
x[i],y[i]=2*r*x[i],2*r*y[i]
can1.delete(ALL)
can1.create_rectangle(3,3,longueur,largeur,width=2,outline='black')
can1.create_rectangle(xs-2*r-2,ys-4*r,xs-2*r+2,ys+4*r,fill='red')
cercle=[]
for i in range(N):
cercle.append([can1.create_oval(x[i]-r,y[i]-r,x[i]+r,y[i]+r,width=1,fill='black'),can1.create_line(x[i],y[i],x[i]+r,y[i],width=1,fill='red')])
def pause():
global ps
if ps==0:
ps=1
else:
ps=0
move()
def slow():
global ps
if ps==1:
ps=0
move()
ps=1
fen1=Tk()
can1=Canvas(fen1,height=largeur,width=longueur,bg='grey80')
x=[0]*N
y=[0]*N
R=[[i,j]for i in range(1,longueur//(2*r)) for j in range(1,largeur//(2*r))]
[x[0],y[0]]=choice(R)
for i in range(1,N):
R.remove([x[i-1],y[i-1]])
[x[i],y[i]]=choice(R)
for i in range(N):
x[i],y[i]=2*r*x[i],2*r*y[i]
cercle=[]
for i in range(N):
cercle.append([can1.create_oval(x[i]-r,y[i]-r,x[i]+r,y[i]+r,width=1,fill='black'),can1.create_line(x[i],y[i],x[i]+r,y[i],width=1,fill='red')])
can1.create_rectangle(3,3,longueur,largeur,width=2,outline='black')
can1.create_rectangle(xs-2*r-2,ys-4*r,xs-2*r+2,ys+4*r,fill='red')
can1.grid(row=0,column=0,rowspan=8)
duree =Label(fen1,width=20)
nombre =Label(fen1,width=20)
contacts=Label(fen1,width=20)
bou0=Button(fen1,text='Start' ,width=12,command=move)
bou1=Button(fen1,text='Pause/Resume',width=12,command=pause)
bou2=Button(fen1,text='Initialize' ,width=12,command=initialiser)
bou3=Button(fen1,text='1 step' ,width=12,command=slow)
bou4=Button(fen1,text='Quit' ,width=12,command=fen1.destroy)
duree.grid(row=0,column=1,padx=5,pady=5)
nombre.grid(row=1,column=1,padx=5,pady=5)
contacts.grid(row=2,column=1,padx=5,pady=5)
bou0.grid(row=3,column=1,padx=5,pady=5)
bou1.grid(row=4,column=1,padx=5,pady=5)
bou2.grid(row=5,column=1,padx=5,pady=5)
bou3.grid(row=6,column=1,padx=5,pady=5)
bou4.grid(row=7,column=1,padx=5,pady=5)
fen1.mainloop()