def test_random_tree(self):
     import random
     for test in xrange(50):
         self.tree = Tree()
         n = random.randint(2, 50)
         root = random.randint(1, 10000)
         saw = [root]
         saw_set = set(saw)
         for i in xrange(n - 1):
             u = saw[random.randint(0, len(saw) - 1)]
             while True:
                 v = random.randint(1, 10000)
                 if v not in saw_set:
                     saw_set.add(v)
                     saw += [v]
                     self.tree.add_edge(u, v)
                     break
         self.assertEqual(self.tree.size(), n)
         self.tree.set_root(root)
         self.assertTrue(self.lca.preprocess(self.tree))
         for i in xrange(len(saw)):
             for j in xrange(i, len(saw)):
                 u, v = saw[i], saw[j]
                 self.assertEqual(self.brute_lca(u, v),
                                  self.lca.query(u, v))
	def test_random_tree(self):
		import random
		for test in xrange(50):
			self.tree = Tree()
			n = random.randint(2, 50)
			root = random.randint(1, 10000)
			saw = [root]
			saw_set = set(saw)
			for i in xrange(n - 1):
				u = saw[random.randint(0, len(saw) - 1)]
				while True:
					v = random.randint(1, 10000)
					if v not in saw_set:
						saw_set.add(v)
						saw += [v]
						self.tree.add_edge(u, v)
						break
			self.assertEqual(self.tree.size(), n)
			self.tree.set_root(root)
			self.assertTrue(self.lca.preprocess(self.tree))
			for i in xrange(len(saw)):
				for j in xrange(i, len(saw)):
					u, v = saw[i], saw[j]
					self.assertEqual(self.brute_lca(u, v), self.lca.query(u, v))
	def setUp(self):
		self.tree = Tree()
		self.lca = LCA()
class TestLCA(unittest.TestCase):
	def setUp(self):
		self.tree = Tree()
		self.lca = LCA()

	def test_one_edge(self):
		self.tree.add_edge(10, 1)
		self.assertFalse(self.lca.preprocess(self.tree), False)
		self.tree.set_root(10)
		self.assertTrue(self.lca.preprocess(self.tree), True)
		self.assertEqual(self.lca.query(1, 10), 10)
		self.assertEqual(self.lca.query(10, 1), 10)

	def test_tree_with_3_nodes(self):
		self.tree.add_edge(1, 7)
		self.tree.add_edge(1, 3)
		self.tree.set_root(1)
		self.assertTrue(self.lca.preprocess(self.tree), True)
		self.assertEqual(self.lca.query(1, 7), 1)
		self.assertEqual(self.lca.query(3, 1), 1)
		self.assertEqual(self.lca.query(3, 7), 1)

	def test_tree_with_4_nodes(self):
		self.tree.add_edge(1, 7)
		self.tree.add_edge(1, 3)
		self.tree.add_edge(3, 13)
		self.tree.set_root(1)
		self.assertEqual(self.tree.size(), 4)
		self.assertTrue(self.lca.preprocess(self.tree), True)
		self.assertEqual(self.lca.query(1, 7), 1)
		self.assertEqual(self.lca.query(3, 1), 1)
		self.assertEqual(self.lca.query(3, 7), 1)
		self.assertEqual(self.lca.query(3, 13), 3)
		self.assertEqual(self.lca.query(7, 13), 1)
		self.assertEqual(self.lca.query(1, 13), 1)

	def test_tree_with_5_nodes(self):
		self.tree.add_edge(1, 7)
		self.tree.add_edge(1, 3)
		self.tree.add_edge(3, 13)
		self.tree.add_edge(7, 16)
		self.tree.set_root(1)
		self.assertTrue(self.lca.preprocess(self.tree), True)
		self.assertEqual(self.lca.query(1, 7), 1)
		self.assertEqual(self.lca.query(3, 1), 1)
		self.assertEqual(self.lca.query(3, 7), 1)
		self.assertEqual(self.lca.query(3, 13), 3)
		self.assertEqual(self.lca.query(7, 13), 1)
		self.assertEqual(self.lca.query(1, 13), 1)
		self.assertEqual(self.lca.query(7, 16), 7)
		self.assertEqual(self.lca.query(13, 16), 1)
		self.assertEqual(self.lca.query(3, 16), 1)
		self.assertEqual(self.lca.query(1, 16), 1)

	def dfs(self, where, u, parent):
		if where._id == u:
			return (True, [u])
		for child in where.children:
			if parent is not None and child == parent:
					continue
			ans_child = self.dfs(child, u, where)
			if ans_child[0]:
				return (True, ans_child[1] + [where._id] )
		return (False, [])

	def brute_lca(self, u, v):
		root = self.tree.get_root()
		path_to_u = self.dfs(root, u, None)
		path_to_v = self.dfs(root, v, None)
		self.assertTrue(path_to_u[0])	
		self.assertTrue(path_to_v[0])
		path_to_u = path_to_u[1]
		path_to_v = set(path_to_v[1])
		for x in path_to_u:
			if x in path_to_v:
				return x

	def test_random_tree(self):
		import random
		for test in xrange(50):
			self.tree = Tree()
			n = random.randint(2, 50)
			root = random.randint(1, 10000)
			saw = [root]
			saw_set = set(saw)
			for i in xrange(n - 1):
				u = saw[random.randint(0, len(saw) - 1)]
				while True:
					v = random.randint(1, 10000)
					if v not in saw_set:
						saw_set.add(v)
						saw += [v]
						self.tree.add_edge(u, v)
						break
			self.assertEqual(self.tree.size(), n)
			self.tree.set_root(root)
			self.assertTrue(self.lca.preprocess(self.tree))
			for i in xrange(len(saw)):
				for j in xrange(i, len(saw)):
					u, v = saw[i], saw[j]
					self.assertEqual(self.brute_lca(u, v), self.lca.query(u, v))
Example #5
0
 def setUp(self):
     self.tree = Tree()
Example #6
0
class TestTree(unittest.TestCase):
    def setUp(self):
        self.tree = Tree()

    def test_add_edge(self):
        self.tree.add_edge(10, 1)
        self.assertEqual(self.tree.has_edge(1, 10), True)
        self.assertEqual(self.tree.has_edge(10, 1), True)
        self.assertEqual(self.tree.has_edge(10, 2), False)
        self.assertEqual(self.tree.has_edge(1, 15), False)
        self.assertEqual(self.tree.has_edge(2, 15), False)
        self.assertEqual(self.tree.size(), 2)

    def test_set_root(self):
        self.assertEqual(self.tree.get_root(), None)
        self.tree.add_edge(10, 1)
        self.assertEqual(self.tree.set_root(40), -1)
        self.assertEqual(self.tree.set_root(10), 10)
        self.assertFalse(self.tree.get_root() is None)

    def test_tree_with_3_nodes(self):
        self.tree.add_edge(1, 7)
        self.tree.add_edge(1, 3)
        self.assertTrue(self.tree.has_edge(1, 7))
        self.assertTrue(self.tree.has_edge(1, 3))
        self.assertEqual(self.tree.size(), 3)
        self.assertEqual(self.tree.set_root(1), 1)
        self.assertEqual(len(self.tree.get_root().children), 2)
        self.assertEqual(len(self.tree.get_node(7).children), 1)
        self.assertEqual(len(self.tree.get_node(3).children), 1)
        self.assertEqual(self.tree.get_node(1), self.tree.get_root())
        self.assertEqual(self.tree.get_node(17), None)
	def setUp(self):
		self.tree = Tree()
class TestTree(unittest.TestCase):
	def setUp(self):
		self.tree = Tree()

	def test_add_edge(self):
		self.tree.add_edge(10, 1)
		self.assertEqual(self.tree.has_edge(1, 10), True)
		self.assertEqual(self.tree.has_edge(10, 1), True)
		self.assertEqual(self.tree.has_edge(10, 2), False)
		self.assertEqual(self.tree.has_edge(1, 15), False)
		self.assertEqual(self.tree.has_edge(2, 15), False)
		self.assertEqual(self.tree.size(), 2)

	def test_set_root(self):
		self.assertEqual(self.tree.get_root(), None)
		self.tree.add_edge(10, 1)
		self.assertEqual(self.tree.set_root(40), -1)
		self.assertEqual(self.tree.set_root(10), 10)
		self.assertFalse(self.tree.get_root() is None)

	def test_tree_with_3_nodes(self):
		self.tree.add_edge(1, 7)
		self.tree.add_edge(1, 3)
		self.assertTrue(self.tree.has_edge(1, 7))
		self.assertTrue(self.tree.has_edge(1, 3))
		self.assertEqual(self.tree.size(), 3)
		self.assertEqual(self.tree.set_root(1), 1)
		self.assertEqual(len(self.tree.get_root().children), 2)
		self.assertEqual(len(self.tree.get_node(7).children), 1)
		self.assertEqual(len(self.tree.get_node(3).children), 1)
		self.assertEqual(self.tree.get_node(1), self.tree.get_root())
		self.assertEqual(self.tree.get_node(17), None)
 def setUp(self):
     self.tree = Tree()
     self.lca = LCA()
class TestLCA(unittest.TestCase):
    def setUp(self):
        self.tree = Tree()
        self.lca = LCA()

    def test_one_edge(self):
        self.tree.add_edge(10, 1)
        self.assertFalse(self.lca.preprocess(self.tree), False)
        self.tree.set_root(10)
        self.assertTrue(self.lca.preprocess(self.tree), True)
        self.assertEqual(self.lca.query(1, 10), 10)
        self.assertEqual(self.lca.query(10, 1), 10)

    def test_tree_with_3_nodes(self):
        self.tree.add_edge(1, 7)
        self.tree.add_edge(1, 3)
        self.tree.set_root(1)
        self.assertTrue(self.lca.preprocess(self.tree), True)
        self.assertEqual(self.lca.query(1, 7), 1)
        self.assertEqual(self.lca.query(3, 1), 1)
        self.assertEqual(self.lca.query(3, 7), 1)

    def test_tree_with_4_nodes(self):
        self.tree.add_edge(1, 7)
        self.tree.add_edge(1, 3)
        self.tree.add_edge(3, 13)
        self.tree.set_root(1)
        self.assertEqual(self.tree.size(), 4)
        self.assertTrue(self.lca.preprocess(self.tree), True)
        self.assertEqual(self.lca.query(1, 7), 1)
        self.assertEqual(self.lca.query(3, 1), 1)
        self.assertEqual(self.lca.query(3, 7), 1)
        self.assertEqual(self.lca.query(3, 13), 3)
        self.assertEqual(self.lca.query(7, 13), 1)
        self.assertEqual(self.lca.query(1, 13), 1)

    def test_tree_with_5_nodes(self):
        self.tree.add_edge(1, 7)
        self.tree.add_edge(1, 3)
        self.tree.add_edge(3, 13)
        self.tree.add_edge(7, 16)
        self.tree.set_root(1)
        self.assertTrue(self.lca.preprocess(self.tree), True)
        self.assertEqual(self.lca.query(1, 7), 1)
        self.assertEqual(self.lca.query(3, 1), 1)
        self.assertEqual(self.lca.query(3, 7), 1)
        self.assertEqual(self.lca.query(3, 13), 3)
        self.assertEqual(self.lca.query(7, 13), 1)
        self.assertEqual(self.lca.query(1, 13), 1)
        self.assertEqual(self.lca.query(7, 16), 7)
        self.assertEqual(self.lca.query(13, 16), 1)
        self.assertEqual(self.lca.query(3, 16), 1)
        self.assertEqual(self.lca.query(1, 16), 1)

    def dfs(self, where, u, parent):
        if where._id == u:
            return (True, [u])
        for child in where.children:
            if parent is not None and child == parent:
                continue
            ans_child = self.dfs(child, u, where)
            if ans_child[0]:
                return (True, ans_child[1] + [where._id])
        return (False, [])

    def brute_lca(self, u, v):
        root = self.tree.get_root()
        path_to_u = self.dfs(root, u, None)
        path_to_v = self.dfs(root, v, None)
        self.assertTrue(path_to_u[0])
        self.assertTrue(path_to_v[0])
        path_to_u = path_to_u[1]
        path_to_v = set(path_to_v[1])
        for x in path_to_u:
            if x in path_to_v:
                return x

    def test_random_tree(self):
        import random
        for test in xrange(50):
            self.tree = Tree()
            n = random.randint(2, 50)
            root = random.randint(1, 10000)
            saw = [root]
            saw_set = set(saw)
            for i in xrange(n - 1):
                u = saw[random.randint(0, len(saw) - 1)]
                while True:
                    v = random.randint(1, 10000)
                    if v not in saw_set:
                        saw_set.add(v)
                        saw += [v]
                        self.tree.add_edge(u, v)
                        break
            self.assertEqual(self.tree.size(), n)
            self.tree.set_root(root)
            self.assertTrue(self.lca.preprocess(self.tree))
            for i in xrange(len(saw)):
                for j in xrange(i, len(saw)):
                    u, v = saw[i], saw[j]
                    self.assertEqual(self.brute_lca(u, v),
                                     self.lca.query(u, v))