def phi_method_2(num):
factors = factorize(num)
phi_count = 1
for factor in factors:
phi_count = phi_count * (factor - 1)
return phi_count
def check3(n):
# factors = factorize(n)
p = max(factorize(n))
# print(n,p)
x = n - p
while x > sqrt(n) - 1:
if x % p == 0:
if pow(x, 2, n) == x:
# print(x,n)
return x
if (x + 1) % p == 0:
if pow(x + 1, 2, n) == x:
# print(x+1,n)
return x + 1
x -= p
return 1
def test_factors_of_one(self):
self.assertEqual(factorize(1), [])
def test_factors_of_zero(self):
self.assertEqual(factorize(0), [])
def test_factors_of_prime_int_squared(self):
self.assertEqual(factorize(281476419553081), [16777259, 16777259])
def test_factors_of_prime(self):
self.assertEqual(factorize(13713779), [13713779])
def test_factors_maxint64(self):
self.assertEqual(factorize(18446744073709551615),
[3, 5, 17, 257, 641, 65537, 6700417])
def test_factors_of_large_int(self):
self.assertEqual(factorize(246819835539726757),
[7, 11, 37, 131, 557, 18379, 64601])
def test_factors_of_medium_int(self):
self.assertEqual(factorize(3825476), [2, 2, 17, 101, 557])
def test_repeated_factors(self):
self.assertEqual(factorize(71672), [2, 2, 2, 17, 17, 31])
def test_factors_of_small_int(self):
self.assertEqual(factorize(15), [3, 5])
def test_factors_of_two(self):
self.assertEqual(factorize(2), [2])
def phi_method_2(num):
factors = factorize(num)
phi_count = 1
for factor in factors:
phi_count = phi_count * (factor - 1)
return phi_count
#==============================================================================
# check both methods agree
print('Calculating...')
all_agreed = True
for i in range(9999):
# if has 2 factors
if len(factorize(i)) == 2:
# if two factors are not same
if factorize(i)[0] != factorize(i)[1]:
# if methods disagree
if phi_method_1(i) != phi_method_2(i):
print(
f'{i} - method 1: {phi_method_1(i)} - method 2: {phi_method_2(i)}'
)
all_agreed = False
if all_agreed:
print('Both methods agreed :)')
