def test_perm_order(self):
for _ in range(TESTS_AMOUNT):
length = np.random.randint(MAX_LEN)
perm = list(range(length))
np.random.shuffle(perm)
my = my_Permutation(perm)
sym = sym_Permutation(perm)
self.assertEqual(sym.order(), my.order())
def test_perm_mul(self):
for _ in range(TESTS_AMOUNT):
length1 = np.random.randint(MAX_LEN)
length2 = np.random.randint(MAX_LEN)
perm1 = list(range(length1))
perm2 = list(range(length2))
np.random.shuffle(perm1)
np.random.shuffle(perm2)
my1 = my_Permutation(perm1)
my2 = my_Permutation(perm2)
my_res = my1 * my2
sym1 = sym_Permutation(perm1)
sym2 = sym_Permutation(perm2)
sym_res = sym1 * sym2
self.assertEqual(sym_res.cyclic_form, my_res.cyclic_form)
def test_power(self):
for _ in range(TESTS_AMOUNT):
length = np.random.randint(MAX_LEN)
perm = list(range(length))
np.random.shuffle(perm)
my = my_Permutation(perm)
sym = sym_Permutation(perm)
power = np.random.randint(MAX_LEN * 4)
self.assertEqual(str(sym**power), str(my**power))
def test_perm_call(self):
for _ in range(TESTS_AMOUNT):
length = np.random.randint(MAX_LEN)
perm = list(range(length))
np.random.shuffle(perm)
my = my_Permutation(perm)
sym = sym_Permutation(perm)
for i in range(length):
self.assertEqual(sym(i), my(i))