import numpy as np
import math

def geo_mean(iterable):
    a = np.array(iterable)
    return a.prod()**(1.0/len(a))

def get_vector(A):
    W = []
    norm = 0
    for i in range(A[0].size):
        W.append(geo_mean(A[i]))
        norm += W[i]
    return W/norm

def max_eigen_value(A):
    return np.linalg.eig(A)[0].real.max()

def Satty(A):
    return ((max_eigen_value(A)-len(A))/(len(A)-1))

def Geometryczny(A):
    ranking = get_vector(A)
    for i in range (0,A.size):
        for j in range (i+1,A.size):
            math.log(A[i][j] * )**2



A = np.array([
    [1, 7, 3],
    [1/7, 1, 2],
    [1/3, 1/2, 1]])

B = np.array([
    [1, 1/5, 7,1],
    [5, 1, 1/2,2],
    [1/7, 2, 1,3],
    [1,1/2,1/3,1]])

C = np.array([
    [1, 2, 5, 1, 7],
    [1/2, 1, 3, 1/2, 5],
    [1/5, 1/3, 1, 1/5, 2],
    [1, 2, 5, 1, 7],
    [1/7, 1/5, 1/2, 1/7, 1]])


SattyA = Satty(A)
SattyB = Satty(B)
SattyC = Satty(C)

GeoA = Geometryczny(A)

print(SattyA)
print(SattyB)
print(SattyC)