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 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 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 test_NWD2(self):
expected = 1
a = int(math.pow(2, 16) + 1)
b = int(math.pow(2, 16) - 1)
self.assertEquals(expected, Modular.nwd([a, b]))
def test_NWD1(self):
expected = 1
a = 5
b = 12
self.assertEquals(expected, Modular.nwd([a, b]))
def test_simple_nwd_one_number(self):
arg = [48]
result = Modular.nwd(arg)
expected = 48
self.assertEqual(expected, result)
def test_simple_nwd_coprime(self):
arg = [48, 25]
result = Modular.nwd(arg)
expected = 1
self.assertEqual(expected, result)
def test_simple_nwd(self):
arg = [12, 3, 48]
result = Modular.nwd(arg)
expected = 3
self.assertEqual(expected, result)
def test_NWD3(self):
expected = 6
a = 24
b = 18
self.assertEquals(expected, Modular.nwd([a, b]))