import echelon as ec
import matutil as mu
from GF2 import one

r0 = [0, 0, one, one]
r1 = [one, 0, one, one]
r2 = [one, 0, 0, one]
r3 = [one, one, one, one]
rows = [r0, r1, r2, r3]

A = mu.listlist2mat(rows)
print(A)

         0   1   2   3
     -----------------
 0  |    0   0 one one
 1  |  one   0 one one
 2  |  one   0   0 one
 3  |  one one one one

M = ec.transformation(A, one)
print(M)

         0   1   2   3
     -----------------
 0  |    0 one   0   0
 1  |    0 one   0 one
 2  |  one   0   0   0
 3  |  one one one   0

print(M * A)

         0   1   2   3
     -----------------
 0  |  one   0 one one
 1  |    0 one   0   0
 2  |    0   0 one one
 3  |    0   0   0 one

s0 = [0, 2, 4, 2, 8]
s1 = [2, 1, 0, 5, 4]
s2 = [4, 1, 2, 4, 2]
s3 = [5, 0, 0, 2, 8]
rows2 = [s0, s1, s2, s3]
B = mu.listlist2mat(rows2)
print(B)

       0 1 2 3 4
     -----------
 0  |  0 2 4 2 8
 1  |  2 1 0 5 4
 2  |  4 1 2 4 2
 3  |  5 0 0 2 8

N = ec.transformation(B)
print(N)

           0  1     2 3
     ------------------
 0  |      0  1     0 0
 1  |      1  0     0 0
 2  |    0.5 -2     1 0
 3  |  0.625  0 -1.25 1

print(N * B)

       0 1 2     3    4
     ------------------
 0  |  2 1 0     5    4
 1  |  0 2 4     2    8
 2  |  0 0 4    -5   -2
 3  |  0 0 0 -1.75 10.5