def dot(a,b):
    return sum(a[i]*b[i] for i in range(len(a)))

def norm(a):
    return sum(n**2 for n in a)**(1/2)

def cosine(a,b):
    return dot(a,b)/(norm(a)*norm(b))

def v_sum(a,b):
    return tuple(a[i]+b[i] for i in range(len(a)))

def v_subtr(a,b):
    return tuple(a[i]-b[i] for i in range(len(a)))


with open('model10000.txt', errors="ignore") as file:
    lines=file.readlines()
vectors={}
for line in lines:
    line=line.split()
    term=line.pop(0) # term=v[0]; v=v[1:]
    vector=[]
    for number in line:
        vector.append(float(number))
    vectors.update({term:tuple(vector)})
    
print("COSENO TRA 'ragazza' E 'donna':")
print(cosine(vectors['ragazza'],vectors['donna']))
print("COSENO TRA 'ragazza' E 'ragazzo'")
print(cosine(vectors['ragazza'],vectors['ragazzo']))
print("COSENO TRA 'ragazza' E 'ragazzo'+'donna':")
print(cosine(vectors['ragazza'],v_sum(vectors['ragazzo'],vectors['donna'])))
print("COSENO TRA 'ragazza' E 'ragazzo'−'uomo'+'donna':")
print(cosine(vectors['ragazza'],v_sum(v_subtr(vectors['ragazzo'],vectors['uomo']),vectors['donna'])))
print()
print("COSENO TRA 'regina' E 'donna':")
print(cosine(vectors['regina'],vectors['donna']))
print("COSENO TRA 'regina' E 're'")
print(cosine(vectors['regina'],vectors['re']))
print("COSENO TRA 'regina' E 're'+'donna':")
print(cosine(vectors['regina'],v_sum(vectors['re'],vectors['donna'])))
print("COSENO TRA 'regina' E 're'−'uomo'+'donna':")
print(cosine(vectors['regina'],v_sum(v_subtr(vectors['re'],vectors['uomo']),vectors['donna'])))