def zad_2():
base = 2018
power = 2018
mod = pow(2, 32) - 1
a = Modular.pow_modulo(base, power, mod)
t1 = int(pow(2, 16) - 1)
result1 = a % t1
print(" a mod( 2^16 -1)")
print(result1)
result2 = Modular.tau(a)
print(" tau(a)")
print(result2)
result3 = Modular.jota(a)
print(" jota(a)")
print(result3)
result4 = Modular.nwd([a, t1])
print(" nwd(a, 2^16 -1)")
print(result4)
result5 = Modular.nww([a, t1])
print(" nww(a, 2^16 -1)")
print(result5)
result61, result62 = Modular.pi_from_probability(a)
print(" pi(a)")
print(result61)
print(result62)
result7 = Modular.phi_by_kanon(a)
print(" euler(a)")
print(result7)
result8 = Modular.is_prime(a)
t2 = Modular.kanon(a)
print(" zad2.1")
print(result8)
print(min(t2))
result9 = Modular.nfermat(a)
print(" zad2.2")
print(result9)
print(t2)
def test_simple_nww_one_number(self):
arg = [48]
result = Modular.nww(arg)
expected = 48
self.assertEqual(expected, result)
def test_simple_nww_coprime(self):
arg = [48, 25]
result = Modular.nww(arg)
expected = 1200
self.assertEqual(expected, result)
def test_simple_nww(self):
arg = [12, 3, 48, 7]
result = Modular.nww(arg)
expected = 336
self.assertEqual(expected, result)
def test_NWW3(self):
expected = 72
a = 24
b = 18
self.assertEquals(expected, Modular.nww([a, b]))
def test_NWW2(self):
a = int(math.pow(2, 16) + 1)
b = int(math.pow(2, 16) - 1)
expected = a * b
self.assertEquals(expected, Modular.nww([a, b]))
def test_NWW1(self):
a = 5
b = 12
expected = a * b
self.assertEquals(expected, Modular.nww([a, b]))