def test_parameter_recovery(self):
p = 115792089210356248762697446949407573530086143415290314195533631308867097853951
a = 115792089210356248762697446949407573530086143415290314195533631308867097853948
b = 41058363725152142129326129780047268409114441015993725554835256314039467401291
p_256 = EllipticCurve(GF(p), [a, b])
x1, y1 = p_256.random_point().xy()
x2, y2 = p_256.random_point().xy()
a_, b_ = self.parameter_recovery.attack(p, x1, y1, x2, y2)
self.assertIsInstance(a_, int)
self.assertIsInstance(b_, int)
self.assertEqual(a, a_)
self.assertEqual(b, b_)
56294930529307888037266989938554520078909974976727867290405186147804672857970,
40227799284408618946039395270241596338545732655219360714266457471089156305972,
1)
k = random.randint(0, E[0])
P = point_mult(P, k, E)
return P
if __name__ == '__main__':
E = EllipticCurve(GF(p), [A, B])
P = E(G[0], G[1])
# in sage every point in standart projective coord, we need to move it to jacobian
# all comutation in chudnovskiy and jcaoban coord, but input|output in sage-projective
sage_rand_P = E.random_point()
# newR = get_random_point(E)
# print(is_inf(P))
# print(is_on_curve(P, E))
print(point_double(P, E))
print(point_add(P, sage_rand_P, E))
print(point_mult(P, 11, E))
# print(F"New random point {newR} is on curve: {is_on_curve(newR, E)}")
print(F"old: {point_mult(sage_rand_P, 46237, E)}")
print(F"new: {point_mult_cool_algo(sage_rand_P, 46237, 4, E)}")
