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from unittest import TestCase
from pyecsca.ec.mod import Mod, gcd, extgcd, Undefined, miller_rabin
class ModTests(TestCase):
def test_gcd(self):
self.assertEqual(gcd(15, 20), 5)
self.assertEqual(extgcd(15, 0), (1, 0, 15))
self.assertEqual(extgcd(15, 20), (-1, 1, 5))
def test_miller_rabin(self):
self.assertTrue(miller_rabin(2))
self.assertTrue(miller_rabin(3))
self.assertTrue(miller_rabin(5))
self.assertFalse(miller_rabin(8))
self.assertTrue(miller_rabin(0xe807561107ccf8fa82af74fd492543a918ca2e9c13750233a9))
self.assertFalse(miller_rabin(0x6f6889deb08da211927370810f026eb4c17b17755f72ea005))
def test_is_residue(self):
self.assertTrue(Mod(4, 11).is_residue())
self.assertFalse(Mod(11, 31).is_residue())
def test_sqrt(self):
p = 0xffffffff00000001000000000000000000000000ffffffffffffffffffffffff
self.assertIn(Mod(0xffffffff00000001000000000000000000000000fffffffffffffffffffffffc, p).sqrt(), (0x9add512515b70d9ec471151c1dec46625cd18b37bde7ca7fb2c8b31d7033599d, 0x6522aed9ea48f2623b8eeae3e213b99da32e74c9421835804d374ce28fcca662))
def test_wrong_mod(self):
a = Mod(5, 7)
b = Mod(4, 11)
with self.assertRaises(ValueError):
a + b
def test_wrong_pow(self):
a = Mod(5, 7)
c = Mod(4, 11)
with self.assertRaises(TypeError):
a**c
def test_other(self):
a = Mod(5, 7)
b = Mod(3, 7)
self.assertEqual(int(-a), 2)
self.assertEqual(str(a), "5")
self.assertEqual(6 - a, Mod(1, 7))
self.assertNotEqual(a, b)
self.assertEqual(a / b, Mod(4, 7))
self.assertEqual(a // b, Mod(4, 7))
self.assertEqual(5 / b, Mod(4, 7))
self.assertEqual(5 // b, Mod(4, 7))
self.assertEqual(a / 3, Mod(4, 7))
self.assertEqual(a // 3, Mod(4, 7))
self.assertEqual(divmod(a, b), (Mod(1, 7), Mod(2, 7)))
self.assertEqual(a + b, Mod(1, 7))
self.assertEqual(5 + b, Mod(1, 7))
self.assertEqual(a + 3, Mod(1, 7))
self.assertNotEqual(a, 6)
def test_undefined(self):
u = Undefined()
for k, meth in u.__class__.__dict__.items():
if k in ("__module__", "__init__", "__doc__", "__hash__"):
continue
args = [5 for _ in range(meth.__code__.co_argcount - 1)]
if k == "__repr__":
self.assertEqual(meth(u), "Undefined")
elif k in ("__eq__", "__ne__"):
assert not meth(u, *args)
else:
with self.assertRaises(NotImplementedError):
meth(u, *args)
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