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_4():
a = pow(2, 16) - 1
b = pow(2, 16) + 1
result1 = Modular.nwd([a, b])
print("nwd", result1)
result2 = pow(a, 32) * pow(b, 32) # nwd is 1
print("nww", result2)
print("phi", Modular.phi_by_kanon_pow(a, b))
nwd, x, y = Modular.euklidesEquatation(a, b)
kanonx = Modular.kanon(x)
kanony = Modular.kanon(y)
print("x:", x)
print("kanon x:", kanonx)
print("y:", y)
print("kanon y:", kanony)
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_kanon4(self):
expected = {97: 1}
a = 97
result = Modular.kanon(a)
self.assertEqual(expected, result)
def test_kanon3(self):
expected = {2: 1, 5: 1}
a = 10
result = Modular.kanon(a)
self.assertEqual(expected, result)
def test_kanon2(self):
expected = {2: 4, 3: 1, 5: 2}
a = 1200
result = Modular.kanon(a)
self.assertEqual(expected, result)
def test_kanon1(self):
expected = {2: 5, 3: 1}
a = 96
result = Modular.kanon(a)
self.assertEqual(expected, result)