def zad_3():
n = 5
solutions = []
primes = Modular.nPrime(n)
ran = range(1, 2048)
for i in range(1, n + 1):
solutions.append(Modular.ModuloEquatation(1, i, primes[i - 1], ran))
base = set(solutions[0])
for i in range(1, n):
B = set(solutions[i])
base = base.intersection(B)
x = min(base)
print(x)
is_prime = Modular.is_prime(x)
print("is prime:", is_prime)
result1 = Modular.tau(x)
print(result1)
result2 = Modular.phi(x)
print(result2)
result3 = Modular.jota(x)
print(result3)
result4 = Modular.kanon(x)
print(result4)
def zad_5():
ran = range(0, 1024)
result0 = Modular.ModuloEquatation(8, 8, 1024, ran)
print("NWD")
print(Modular.nwd(result0))
print('Sum of x')
print(np.sum(result0))
max_value = 0
max_power = 0
for i in range(len(result0)):
value = result0[i]
power = Modular.phi(value)
if max_power < power:
max_power = power
max_value = value
elif power < max_power:
a = pow(max_value, max_power)
b = pow(value, power)
if a < b:
max_power = power
max_value = value
print("max")
print(pow(max_value, max_power))
print('k')
print(len(result0))
def test_phi_prime(self):
arg = 199
result = Modular.phi(arg)
expected = 198
self.assertEqual(expected, result)
def test_simple_phi(self):
arg = 20
result = Modular.phi(arg)
expected = 8
self.assertEqual(expected, result)
def test_euler4(self):
expected = 1
a = 1
self.assertEquals(expected, Modular.phi(a))
self.assertEquals(expected, Modular.phi_by_kanon(a))
self.assertEquals(expected, Modular.phi_by_kanon2(a))
def test_euler3(self):
expected = math.pow(2, 16)
a = int(math.pow(2, 16) + 1)
self.assertEquals(expected, Modular.phi(a))
self.assertEquals(expected, Modular.phi_by_kanon(a))
self.assertEquals(expected, Modular.phi_by_kanon2(a))