def test_multiply_by_number(self):
ec = EllipticCurve('A')
a = ec.get_forming()
for k in [-1233535, 1231, 0, -1, 1, 1231341]:
self.assertTrue(ec.is_on_curve(ec.multiply_by_number(a, k)))
mul = ec.multiply_by_number
self.assertEqual(mul(mul(a, 10), 10), mul(a, 100))
self.assertEqual(mul(mul(a, 2), -3), mul(a, -6))
self.assertEqual(mul(mul(a, -4), 7), mul(a, -28))
self.assertEqual(ec.summ(mul(a, 123), mul(a, -122)), mul(a, 1))
ec = EllipticCurve('test')
point = Point(3, 6)
n_s = range(7)
rights = [
Point(0, 1, 0),
Point(3, 6),
Point(80, 10),
Point(80, 87),
Point(3, 91),
Point(0, 1, 0),
Point(3, 6)
]
for n, right in zip(n_s, rights):
print(right)
print(ec.multiply_by_number(point, n))
self.assertEqual(ec.multiply_by_number(point, n), right)
def test_summ(self):
ec = EllipticCurve("test")
point_a = Point(17, 10)
point_b = Point(95, 31)
ref = Point(1, 54)
result = ec.summ(point_a, point_b)
self.assertTrue(result == ref)
point_a = Point(80, 10)
point_b = Point(80, 87)
ref = Point(0, 1, 0)
self.assertEqual(ec.summ(point_a, point_b), ref)
ec = EllipticCurve('A')
a = ec.get_forming()
self.assertEqual(ec.summ(a, ec.get_zero()), a)
def test_correctness_of_parameters(self):
ec = EllipticCurve('A')
self.assertTrue(ec.is_on_curve(ec.get_forming()))
ec = EllipticCurve('B')
self.assertTrue(ec.is_on_curve(ec.get_forming()))