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triple.py
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triple.py
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def Probtriple(m,k,n):
if((m>k) or (m>int(n/3)) or (m<0) or (k>=int(n/2)+1) or (k<2) or (n<6)):
return(0)
if( (k==3) and (m==0) and (n==6)):
return(1/7)
if((m==1) and (n==6)):
return(0)
if( (k==2) and (m==2) and (n==6)):
return(6/7)
else:
#print(Probtriple(m,k,n-1),Probtriple(m-1,k,n-1),Probtriple(m,k-1,n-1),Probtriple(m+1,k-1,n-1))
return(((n-4+3*m-k)/(2*n-5))*Probtriple(m,k,n-1)+((3*k-3*m+3)/(2*n-5))*Probtriple(m-1,k,n-1)
+((n-2*k-m+1)/(2*n-5))*Probtriple(m,k-1,n-1)+((m+1)/(2*n-5))*Probtriple(m+1,k-1,n-1))
def probtrip(m,n):
a=0
for i in range(m, int(n/2)+1):
a= a+Probtriple(m,i,n)
return(a)
z=101
t=[{'leaves': 0, 'prob': [0]},\
{'leaves': 1, 'prob': [0]},\
{'leaves': 2, 'prob': [0]},\
{'leaves': 3, 'prob': [0]},\
{'leaves': 4, 'prob': [0]},\
{'leaves': 5, 'prob': [0]},\
{'leaves': 6,
'prob': [[0.0, 0, 0.8571428571428571], [0.14285714285714285, 0, 0.0]]},
{'leaves': 7,
'prob': [[0.0, 0.0, 0.6666666666666666], [0.0, 0.3333333333333333, 0.0]]},
{'leaves': 8,
'prob': [[0.0, 0.0, 0.48484848484848486],
[0.0, 0.24242424242424243, 0.2424242424242424],
[0.030303030303030304, 0.0, 0.0]]},
{'leaves': 9,
'prob': [[0.0, 0.0, 0.3356643356643357, 0],
[0.0, 0.16783216783216784, 0.33566433566433573, 0.055944055944055944],
[0.02097902097902098, 0.08391608391608392, 0.0, 0.0]]},
{'leaves': 10,
'prob': [[0.0, 0.0, 0.22377622377622378, 0],
[0.0, 0.11188811188811189, 0.33566433566433573, 0.1118881118881119],
[0.013986013986013986, 0.1118881118881119, 0.08391608391608393, 0.0],
[0.006993006993006993, 0.0, 0.0, 0.0]]}]
for n in range(11,z):
a1=[]
for k in range(2, int(n/2)+1):
a2=[]
for m in range(0, int(n/3)+1):
if(m>k):
a2.append(0)
else:
if(k==2):
if(m==0):
a2.append(((n-4+3*m-k)/(2*n-5))*t[n-1]["prob"][k-2][m])
elif(m >= (int((n-1)/3)+1)):
a2.append(((3*k-3*m+3)/(2*n-5))*t[n-1]["prob"][k-2][m-1])
else:
a2.append(((n-4+3*m-k)/(2*n-5))*t[n-1]["prob"][k-2][m]+((3*k-3*m+3)/(2*n-5))*t[n-1]["prob"][k-2][m-1])
elif(k >= (int((n-1)/2)+1)):
if(m>= (int((n-1)/3)+1)):
a2.append(0)
elif(m == (int((n-1)/3))):
a2.append(((n-2*k-m+1)/(2*n-5))*t[n-1]["prob"][k-3][m])
else:
a2.append(((n-2*k-m+1)/(2*n-5))*t[n-1]["prob"][k-3][m]+((m+1)/(2*n-5))*t[n-1]["prob"][k-3][m+1])
else:
if(m==0):
#print("n=",n,"k=", k,"m=",m)
a2.append(((n-4+3*m-k)/(2*n-5))*t[n-1]["prob"][k-2][m]+((n-2*k-m+1)/(2*n-5))*t[n-1]["prob"][k-3][m]+((m+1)/(2*n-5))*t[n-1]["prob"][k-3][m+1])
elif(m>=( int((n-1)/3)+1)):
a2.append(((3*k-3*m+3)/(2*n-5))*t[n-1]["prob"][k-2][m-1])
elif(m == (int((n-1)/3))):
a2.append(((n-4+3*m-k)/(2*n-5))*t[n-1]["prob"][k-2][m]+((3*k-3*m+3)/(2*n-5))*t[n-1]["prob"][k-2][m-1]\
+((n-2*k-m+1)/(2*n-5))*t[n-1]["prob"][k-3][m])
else:
a2.append(((n-4+3*m-k)/(2*n-5))*t[n-1]["prob"][k-2][m]+((3*k-3*m+3)/(2*n-5))*t[n-1]["prob"][k-2][m-1]\
+((n-2*k-m+1)/(2*n-5))*t[n-1]["prob"][k-3][m]+((m+1)/(2*n-5))*t[n-1]["prob"][k-3][m+1])
a1.append(a2)
#print("for n is "+str(i) +" and m is "+ str(j) +" the probability is "+ str(probtrip(j,i)))
t.append(dict(leaves=n, prob=a1))
#second part:
def Probtriple(m,k,n): #t[n]["prob"][k-2][m]
if((m>k) or (m>int(n/3)) or (m<0) or (k>=int(n/2)+1) or (k<2) or (n<6)):
return(0)
if( (k==3) and (m==0) and (n==6)):
return(1/7)
if((m==1) and (n==6)):
return(0)
if( (k==2) and (m==2) and (n==6)):
return(6/7)
else:
#print(Probtriple(m,k,n-1),Probtriple(m-1,k,n-1),Probtriple(m,k-1,n-1),Probtriple(m+1,k-1,n-1))
return(((n-4+3*m-k)/(2*n-5))*Probtriple(m,k,n-1)+((3*k-3*m+3)/(2*n-5))*Probtriple(m-1,k,n-1)
+((n-2*k-m+1)/(2*n-5))*Probtriple(m,k-1,n-1)+((m+1)/(2*n-5))*Probtriple(m+1,k-1,n-1))
def probtrip(m,n):
a=0
for i in range(m, int(n/2)+1):
a= a+Probtriple(m,i,n)
return(a)
z=101
#tt=[]
tt=[{'leaves': 0, 'prob': [0]},\
{'leaves': 1, 'prob': [0]},\
{'leaves': 2, 'prob': [0]},\
{'leaves': 3, 'prob': [0]},\
{'leaves': 4, 'prob': [0]},\
{'leaves': 5, 'prob': [0]},\
{'leaves': 6, 'prob': [0.14285714285714285, 0, 0.8571428571428571]},
{'leaves': 7, 'prob': [0.0, 0.3333333333333333, 0.6666666666666666]},
{'leaves': 8,
'prob': [0.030303030303030304, 0.24242424242424243, 0.7272727272727273]},
{'leaves': 9,
'prob': [0.02097902097902098,
0.2517482517482518,
0.6713286713286715,
0.055944055944055944]},
{'leaves': 10,
'prob': [0.02097902097902098,
0.2237762237762238,
0.6433566433566434,
0.1118881118881119]}]
for n in range(11,z):
attt=[]
for m in range(0, int(n/3)+1):
a=0
for k in range(max(2,m), int(n/2)+1):
a= a+t[n]["prob"][k-2][m]
attt.append(a)
#print("for n is "+str(i) +" and m is "+ str(j) +" the probability is "+ str(probtrip(j,i)))
tt.append(dict(leaves=n, prob=attt))
import matplotlib.pyplot as plt
for i in range(len(tt)):
globals()["x"+str(i)]=[]
globals()["y"+str(i)]=[]
for p in range(6,len(tt),4):
globals()["x"+ str(p)]=list(range(int(p/3)+1))
globals()["y"+ str(p)]=tt[p]["prob"]
plt.plot(globals()["x"+ str(p)], globals()["y"+ str(p)], label = str(p)+" leaves")
plt.xlabel('Number of triple terminals')
plt.ylabel('Probability distribution')
#plt.title('')
#plt.legend()
plt.show()
file="E:/sugerc/probtriple6t100check.txt"
with open(file,"w") as f:
for s in tt:
f.write(str(s))
f.write("\n")
for i in range(len(tt)):
globals()["z"+str(i)]=0 # mean
globals()["frac"+str(i)]=0 # for mean/n
for p in range(6,len(tt)):
for j in range(int(p/3)+1):
globals()["z"+str(p)] +=globals()["x"+ str(p)][j]*globals()["y"+ str(p)][j]
# mean/n :
for p in range(6,len(tt)):
globals()["frac"+str(p)]= (globals()["z"+str(p)])/p
# st :
import math
for i in range(len(tt)):
globals()["bigv"+str(i)]=0
globals()["var"+str(i)]=0
globals()["st"+str(i)]=0
for i in range(len(tt)):
globals()["stfrac"+str(i)]=0 #st/m
for p in range(6,len(tt)):
for j in range(int(p/3)+1):
globals()["bigv"+str(p)] +=(math.pow(globals()["x"+ str(p)][j],2))*globals()["y"+ str(p)][j]
for p in range(6,len(tt)):
globals()["var"+str(p)]= globals()["bigv"+str(p)]-(math.pow(globals()["z"+str(p)],2))
for p in range(6,len(tt)):
globals()["st"+str(p)]=math.sqrt(globals()["var"+str(p)])
for p in range(6,len(tt)):
globals()["stfrac"+str(p)]=(globals()["st"+str(p)])/p
import pandas as pd
mean=[]
st=[]
fracmean=[]
fracst=[]
for i in range(6,len(tt)):
mean.append(globals()["z"+str(i)])
st.append(globals()["st"+str(i)])
fracmean.append(globals()["frac"+str(i)])
fracst.append(globals()["stfrac"+str(i)])
d = {"leaves":list(range(6,101)),'Mean': mean, 'St': st,"Mean/n":fracmean,"St/n":fracst}
df = pd.DataFrame(data=d)
df.to_csv('E:/sugerc/meansttriple.csv')