def balanced_parentheses(paren_str):
"""problem involving applications of stack"""
# filter out all values besides brackets
matches = re.finditer(r'[(){}[\]]+', paren_str)
parsed_iter = itertools.chain.from_iterable(
result.group()
for result in matches)
opening = Stack()
for i in parsed_iter:
if i in ("(", "{", "["):
opening.add(i)
else:
if not opening.isEmpty():
if i == ")" and opening.peek() == "(":
opening.get()
elif i == "}" and opening.peek() == "{":
opening.get()
elif i == "]" and opening.peek() == "[":
opening.get()
else:
return False
else:
return False
return True
def infixtopostfix(string):
comp = string.split(' ')
output = []
operator_precedence = {"+": 1, "-": 1, "/": 2, "*": 2, "(": 3, ")": 3}
operator_stack = Stack()
for value in comp:
if value in 'ABCDEFGHIJKLMNOPQRSTUVWXYZ' or value in '0123456789':
output.append(value)
elif value == '(':
operator_stack.push(value)
elif value == ')':
operator = operator_stack.pop()
while operator != '(':
output.append(operator)
operator = operator_stack.pop()
else:
while not operator_stack.isEmpty() and \
operator_precedence[operator_stack.peek()] <= operator_precedence[value]:
output.append(operator_stack.pop())
operator_stack.push(value)
while not operator_stack.isEmpty():
token = operator_stack.pop()
output.append(token)
return ' '.join(output)
def infixToPostfix(infixexpr):
precedence = {}
precedence["*"] = 3
precedence["/"] = 3
precedence["+"] = 2
precedence["-"] = 2
precedence["("] = 1
opStack = Stack()
postfixList = []
tokenList = infixexpr.split()
for token in tokenList:
if token in "ABCDEFGHIJKLMNOPQRSTUVWXYZ" or token in "0123456789":
postfixList.append(token)
elif token == '(':
opStack.push(token)
elif token == ')':
topToken = opStack.pop()
while topToken != '(':
postfixList.append(topToken)
topToken = opStack.pop()
else:
while (not opStack.isEmpty()) and \
(precedence[opStack.peek()] >= precedence[token]):
postfixList.append(opStack.pop())
opStack.push(token)
while not opStack.isEmpty():
postfixList.append(opStack.pop())
return " ".join(postfixList)
def test_stack(): stack = Stack() stack.push(3) stack.push(2) assert stack.peek() == 2 assert stack.pop() == 2 assert stack.pop() == 3 assert stack.is_empty()
def test_push():
stack, arr = Stack(), []
assert(stack.is_empty())
for expected in range(ITERS):
stack.push(expected)
arr = [expected] + arr
actual = stack.peek()
assert(len(stack) == len(arr))
assert(expected == actual)
assert(not stack.is_empty())
class TestStack(unittest.TestCase):
@staticmethod
def add_to_structure(self, items):
for i in items:
self.structure.add(i)
def setUp(self):
self.structure = Stack()
def test_structure_isEmpty(self):
self.assertEqual(self.structure.isEmpty(), True)
self.add_to_structure(self, range(3))
self.assertEqual(self.structure.isEmpty(), False)
def test_structure_peek(self):
structure = self.add_to_structure(
self, iter(['people', 'potatoes', 'pansies']))
self.assertEqual(self.structure.peek(), 'pansies')
def test_structure_get_length(self):
structure = self.add_to_structure(self, range(5))
self.assertEqual(self.structure.get_length(), 5)
def test_structure_get(self):
structure = self.add_to_structure(self, range(3))
# test that first in are first out
for i in reversed(range(3)):
self.assertEqual(self.structure.get(), i)
def test_empty_items(self):
# for when get, or peek is called on empty structure
self.assertRaises(EmptyItemsError, lambda: self.structure.get())
self.assertRaises(EmptyItemsError, lambda: self.structure.peek())
def calculations(self):
"""
This is where the calculator does its magic.
To see how this function works, please reference the textbook material on Chapter 3 Stacks. This algorithm was
built by making an algorithm that takes an infix expression and transforms it into a postfix expression
(2+2 --> 22+). Then, by taking that postfix expression and processing the operators and operands it until there
is only 1 element in the stack, we get the postfix answer, which is the same answer for the infix expression.
(22+ --> 4)
It is possible to build a calculator with simply those 2 algorithms linked up to each other. However, this
function is a hybrid of the two where it is able to simultaneously work with operators and operands, such that
when an infix expression is determined to be in postfix expression, we immediately calculate the answer.
"""
precedent = {'*': 3, '/': 3, '+': 2, '-': 2, '(': 1}
operator_stack = Stack()
operand_stack = Stack()
for item in self.final_infix:
if item in string.ascii_letters:
operand_stack.push(self.numbers.get(item))
elif item == '(':
operator_stack.push(item)
elif item == ')':
# Here be dragons.
top_of_stack = operator_stack.pop()
while top_of_stack != '(':
operand2 = float(operand_stack.pop())
operand1 = float(operand_stack.pop())
operand_stack.push(self.do_math(top_of_stack, operand1, operand2))
top_of_stack = operator_stack.pop()
elif item in precedent:
while (not operator_stack.isempty()) and precedent[operator_stack.peek()] >= precedent[item]:
operand2 = float(operand_stack.pop())
operand1 = float(operand_stack.pop())
operand_stack.push(self.do_math(operator_stack.pop(), operand1, operand2))
operator_stack.push(item)
elif item == '~':
# This is a helper variable to signal the end of infix expression and empty all stacks.
while not operator_stack.isempty():
operand2 = float(operand_stack.pop())
operand1 = float(operand_stack.pop())
operand_stack.push(self.do_math(operator_stack.pop(), operand1, operand2))
else:
raise TypeError('Error: Calculations blew up.')
self.answer = operand_stack.pop()
def test_pop():
stack, arr = Stack(), []
assert(stack.is_empty())
with pytest.raises(AssertionError):
stack.pop()
for _ in range(ITERS):
expected = random.randrange(MAX_VAL)
stack.push(expected)
actual = stack.peek()
arr = [expected] + arr
assert(len(stack) == len(arr))
assert(actual == expected)
for _ in range(ITERS):
expected, actual = arr[0], stack.pop()
arr = arr[1:]
assert(len(stack) == len(arr))
assert(actual == expected)
assert(stack.is_empty())
with pytest.raises(AssertionError):
stack.pop()
class TestStack(unittest.TestCase): # LIFO
def setUp(self):
self.emptyStack = Stack()
self.Stack = Stack()
for i in range(5):
self.Stack.push(i)
def test_repr(self):
'''Test returning the stack as a string literal.'''
self.assertEqual(repr(self.emptyStack), str(()))
tup = (1, 3.14, 'foo', True)
for i in tup:
self.emptyStack.push(i)
self.assertEqual(repr(self.emptyStack), str((True, 'foo', 3.14, 1)))
def test_len_size(self):
'''Test returning the size of the stack.'''
for i in range(100):
self.emptyStack.push(i)
self.assertEqual(len(self.emptyStack), 100)
self.assertEqual(self.emptyStack.size(), 100)
self.emptyStack.pop()
self.assertEqual(len(self.emptyStack), 99)
self.assertEqual(self.emptyStack.size(), 99)
def test_tuple(self):
'''Test returning the stack as a tuple literal.'''
self.assertEqual(tuple(self.emptyStack), ())
tup = (1, 3.14, 'foo', True)
for i in tup:
self.emptyStack.push(i)
self.assertEqual(tuple(self.emptyStack), (True, 'foo', 3.14, 1))
def test_list(self):
'''Test returning the stack as a list literal.'''
self.assertEqual(list(self.emptyStack), [])
li = [1, 3.14, 'foo', True]
for i in li:
self.emptyStack.push(i)
self.assertEqual(list(self.emptyStack), [True, 'foo', 3.14, 1])
def test_push(self):
'''Test pushing items on top of the stack.'''
self.Stack.push(True)
self.assertEqual(tuple(self.Stack), (True, 4, 3, 2, 1, 0))
def test_pop(self):
'''Test popping off and returning the top of the stack.'''
self.assertEqual(self.Stack.pop(), 4)
self.assertEqual(tuple(self.Stack), (3, 2, 1, 0))
self.assertEqual(self.Stack.pop(), 3)
self.assertEqual(self.Stack.pop(), 2)
self.assertEqual(self.Stack.pop(), 1)
self.assertEqual(self.Stack.pop(), 0)
self.assertEqual(tuple(self.Stack), ())
with self.assertRaises(ValueError):
self.Stack.pop()
def test_peek(self):
'''Test peeking at the top of the stack w/o modifying the stack.'''
self.assertEqual(self.Stack.peek(), 4)
with self.assertRaises(ValueError):
self.emptyStack.peek()
def single_dfs(big_list, current):
stack = Stack()
explored = Queue()
pointer = current
stack.push(pointer)
explored.enqueue(pointer)
tra_model = Tra_model()
while True:
if stack.isEmpty():
break
else:
pointer = stack.peek()
x = pointer[0]
y = pointer[1]
if big_list[x][y + 1] == " ": #if right is empty
pointer = tra_model.move_right(pointer)
stack.push(pointer)
explored.enqueue(pointer)
x = pointer[0]
y = pointer[1]
big_list[x][y] = "#"
continue #return to the top of the loop
if big_list[x][y + 1] == ".":
pointer = tra_model.move_right(pointer)
stack.push(pointer)
explored.enqueue(pointer)
break
if big_list[x][y + 1] == "%" or "#": #if right is wall
if big_list[x + 1][y] == " ": #if down is empty
pointer = tra_model.move_down(pointer)
stack.push(pointer)
explored.enqueue(pointer)
x = pointer[0]
y = pointer[1]
big_list[x][y] = "#"
continue
if big_list[x + 1][y] == ".":
pointer = tra_model.move_down(pointer)
stack.push(pointer)
explored.enqueue(pointer)
break
if big_list[x + 1][y] == "%" or "#": # if down is wall
if big_list[x - 1][y] == " ": # if up is empty
pointer = tra_model.move_up(pointer)
stack.push(pointer)
explored.enqueue(pointer)
x = pointer[0]
y = pointer[1]
big_list[x][y] = "#"
continue # return to the top of the loop
if big_list[x - 1][y] == ".":
pointer = tra_model.move_up(pointer)
stack.push(pointer)
explored.enqueue(pointer)
break
if big_list[x - 1][y] == "%" or "#": #if up is wall
if big_list[x][y - 1] == " ": #if left is empty
pointer = tra_model.move_left(pointer)
stack.push(pointer)
explored.enqueue(pointer)
x = pointer[0]
y = pointer[1]
big_list[x][y] = "#"
continue #return to the top
if big_list[x - 1][y] == ".":
pointer = tra_model.move_left(pointer)
stack.push(pointer)
explored.enqueue(pointer)
break
if big_list[x][y - 1] == "%" or "#":
big_list[x][y] = "*"
stack.pop()
expanded = 0
for i in explored.items:
expanded += 1
x = i[0]
y = i[1]
if big_list[x][y] == "*":
big_list[x][y] = " "
steps = 0
for i in explored.items:
x = i[0]
y = i[1]
if big_list[x][y] == "#":
steps += 1
return explored, big_list, steps, expanded
def test_peak_at_stack():
stack = Stack()
stack.push('a')
assert stack.peek() == 'a'
class TestDataStructures(unittest.TestCase):
def setUp(self):
self.stack = Stack(range(1, 6))
self.queue = Queue(range(1, 6))
self.single = SinglyLinkedList()
self.double = DoublyLinkedList()
self.btree = BinaryTree()
# STACK
def test_stack_push(self):
self.stack.push(6)
self.assertEqual(self.stack.stack, range(1, 7))
def test_stack_pop(self):
self.assertEqual(self.stack.pop(), 5)
self.assertEqual(self.stack.pop(), 4)
def test_stack_peek(self):
self.assertEqual(self.stack.peek(), 5)
# QUEUE
def test_queue_push(self):
self.queue.push(6)
self.assertEqual(self.queue.queue, range(1, 7))
def test_queue_pop(self):
self.assertEqual(self.queue.pop(), 1)
self.assertEqual(self.queue.pop(), 2)
def test_queue_peek(self):
self.assertEqual(self.queue.peek(), 1)
self.queue.pop()
self.assertEqual(self.queue.peek(), 2)
# SINGLY-LINKED LIST
def test_add_nodes_to_single(self):
node1, node2, node3 = Node(1), Node(2), Node(3)
self.single._insert(node1)
self.single._insert(node2, node1)
self.assertEqual(self.single.head.value, 1)
next = self.single.head.next
self.assertEqual(next, node2)
self.assertEqual(next.value, 2)
self.single._insert(node3, node2)
nextnext = self.single.head.next.next
self.assertEqual(nextnext, node3)
def test_add_node_to_beginning_of_single(self):
node0, node1 = Node(0), Node(1)
self.single._insert(node1)
self.single._insert(node0)
self.assertEqual(self.single.head.value, 0)
self.assertEqual(self.single.head.next.value, 1)
def test_remove_nodes_single(self):
node1, node2, node3, node4 = Node(1), Node(2), Node(3), Node(4)
self.single._insert(node1)
self.single._insert(node2, node1)
self.single._insert(node3, node2)
self.single._insert(node4, node3)
self.single._remove(node2)
self.assertEqual(node2.next, node4)
def test_remove_node_from_beginning_single(self):
node1, node2, node3 = Node(1), Node(2), Node(3)
self.single._insert(node1)
self.single._insert(node2, node1)
self.single._insert(node3, node2)
self.single._remove()
self.assertEqual(self.single.head, node2)
def test_single_iteration(self):
node1, node2, node3, node4 = Node(1), Node(2), Node(3), Node(4)
self.single._insert(node1)
self.single._insert(node2, node1)
self.single._insert(node3, node2)
self.single._insert(node4, node3)
self.assertEqual([node for node in self.single], [node1, node2, node3, node4])
def test_add_node_to_single_for_real(self):
self.single.insert(2, 0)
self.assertEqual(self.single[0].value, 2)
self.single.insert(1, 0)
self.assertEqual(self.single[0].value, 1)
self.single.insert(3, 2)
self.assertEqual(self.single[2].value, 3)
self.single.insert(4, 100)
self.assertEqual(self.single[3].value, 4)
def test_remove_node_from_single_for_real(self):
for i in range(4, 0, -1):
self.single.insert(i, 0)
# [1, 2, 3, 4]
self.single.remove(1)
# [1, 3, 4]
self.assertEqual(self.single[1].value, 3)
self.single.remove(2)
# [1, 3]
self.assertEqual(self.single[0].value, 1)
self.assertEqual(self.single[1].value, 3)
# DOUBLE-LINKED LIST
def test_iteration_double(self):
node1, node2, node3 = Node(1), Node(2), Node(3)
node1.next, node2.next, node3.next = node2, node3, None
node1.prev, node2.prev, node3.prev = None, node1, node2
self.double.head = node1
self.double.tail = node3
# test __iter__
self.assertEqual([str(i) for i in self.double], [str(i) for i in range(1, 4)])
# test iterating over reversed
self.assertEqual([str(i) for i in reversed(self.double)], [str(i) for i in range(3, 0, -1)])
def test_double_slicing(self):
node1, node2, node3 = Node(1), Node(2), Node(3)
node1.next, node2.next, node3.next = node2, node3, None
node1.prev, node2.prev, node3.prev = None, node1, node2
self.double.head = node1
self.double.tail = node3
self.assertEqual(self.double[0].value, 1)
self.assertEqual(self.double[1].value, 2)
self.assertEqual(self.double[2].value, 3)
self.assertRaises(IndexError, lambda val: self.double[val], 3)
def test_base_insert_moving_forwards_with_double(self):
node1, node2, node3 = Node(1), Node(2), Node(3)
self.double._insert(node1)
self.assertTrue(test_node(self.double[0], 1, None, None))
self.assertTrue(test_linked_list(self.double, self.double[0], self.double[0]))
self.double._insert(node3, node1)
self.assertTrue(test_node(self.double[0], 1, 3, None))
self.assertTrue(test_node(self.double[1], 3, None, 1))
self.assertTrue(test_linked_list(self.double, self.double[0], self.double[1]))
self.double._insert(node2, node1)
self.assertTrue(test_node(self.double[0], 1, 2, None))
self.assertTrue(test_node(self.double[1], 2, 3, 1))
self.assertTrue(test_node(self.double[2], 3, None, 2))
self.assertTrue(test_linked_list(self.double, self.double[0], self.double[2]))
self.assertEqual(str(self.double), str([str(i) for i in range(1, 4)]))
def test_base_insert_moving_backwards_with_double(self):
node1, node2, node3 = Node(1), Node(2), Node(3)
# insert node3 at the beginning/end of the list
self.double._rev_insert(node3)
self.assertTrue(test_node(self.double[0], 3, None, None))
self.assertTrue(test_linked_list(self.double, self.double[0], self.double[0]))
# insert node one before node 3 ([node1, node3])
self.double._rev_insert(node1, node3)
self.assertTrue(test_node(self.double[0], 1, 3, None))
self.assertTrue(test_node(self.double[1], 3, None, 1))
self.assertTrue(test_linked_list(self.double, self.double[0], self.double[1]))
# insert node2 before node3 ([node1, node2, node3])
self.double._rev_insert(node2, node3)
self.assertTrue(test_node(self.double[0], 1, 2, None))
self.assertTrue(test_node(self.double[1], 2, 3, 1))
self.assertTrue(test_node(self.double[2], 3, None, 2))
self.assertTrue(test_linked_list(self.double, self.double[0], self.double[2]))
# check that the array is [node1, node2, node3]
self.assertEqual(str(self.double), str([str(i) for i in range(1, 4)]))
def test_insert_at_beginning_of_double(self):
self.double.insert(2, 0)
self.assertTrue(test_node(self.double[0], 2, None, None))
self.assertTrue(test_linked_list(self.double, self.double[0], self.double[0]))
self.double.insert(1, 0)
self.assertTrue(test_node(self.double[0], 1, 2, None))
self.assertTrue(test_node(self.double[1], 2, None, 1))
self.assertTrue(test_linked_list(self.double, self.double[0], self.double[1]))
def test_insert_in_middle_and_end_of_double(self):
self.double.insert(1, 0)
self.double.insert(3, 1)
self.assertTrue(test_node(self.double[0], 1, 3, None))
self.assertTrue(test_node(self.double[1], 3, None, 1))
self.assertTrue(test_linked_list(self.double, self.double[0], self.double[1]))
self.double.insert(2, 1)
self.assertTrue(test_node(self.double[0], 1, 2, None))
self.assertTrue(test_node(self.double[1], 2, 3, 1))
self.assertTrue(test_node(self.double[2], 3, None, 2))
self.assertTrue(test_linked_list(self.double, self.double[0], self.double[2]))
self.double.insert(5, 3)
self.assertTrue(test_node(self.double[0], 1, 2, None))
self.assertTrue(test_node(self.double[1], 2, 3, 1))
self.assertTrue(test_node(self.double[2], 3, 5, 2))
self.assertTrue(test_node(self.double[3], 5, None, 3))
self.assertTrue(test_linked_list(self.double, self.double[0], self.double[3]))
self.double.insert(4, 3)
self.assertTrue(test_node(self.double[0], 1, 2, None))
self.assertTrue(test_node(self.double[1], 2, 3, 1))
self.assertTrue(test_node(self.double[2], 3, 4, 2))
self.assertTrue(test_node(self.double[3], 4, 5, 3))
self.assertTrue(test_node(self.double[4], 5, None, 4))
self.assertTrue(test_linked_list(self.double, self.double[0], self.double[4]))
# Binary Tree
def test_binary_node_equality(self):
one = BinaryNode(1)
one2 = BinaryNode(1)
self.assertTrue(one == one2)
two = BinaryNode(2)
self.assertFalse(one == two)
def test_add_internal_child_to_binary_node(self):
one = BinaryNode(1)
two = BinaryNode(2)
three = BinaryNode(3)
one.left = three
# one = {left: 3, right: None}
one.insert(two, three)
self.assertTrue(test_binary_node(one, 1, 2, None, None))
self.assertTrue(test_binary_node(two, 2, 3, None, 1))
self.assertTrue(test_binary_node(three, 3, None, None, 2))
def test_add_external_child_to_binary_node(self):
one = BinaryNode(1)
two = BinaryNode(2)
one.insert(two)
self.assertTrue(test_binary_node(one, 1, 2, None, None))
self.assertTrue(test_binary_node(two, 2, None, None, 1))
three = BinaryNode(3)
one.insert(three)
self.assertTrue(test_binary_node(one, 1, 2, 3, None))
self.assertTrue(test_binary_node(two, 2, None, None, 1))
self.assertTrue(test_binary_node(three, 3, None, None, 1))
four = BinaryNode(4)
two.insert(four)
self.assertTrue(test_binary_node(two, 2, 4, None, 1))
self.assertTrue(test_binary_node(four, 4, None, None, 2))
def test_depth_first_generation(self):
self.btree.root = deep_btree()
self.assertEquals([int(str(n)) for n in self.btree.depth_gen(self.btree.root)], range(1, 9))
def test_breadth_first_generation(self):
self.btree.root = wide_btree()
self.assertEqual([int(str(n)) for n in self.btree.breadth_gen([self.btree.root])], range(1, 9))
def test_binary_tree_iteration(self):
self.btree.root = deep_btree()
self.assertEquals([int(str(n)) for n in self.btree], range(1, 9))
def test_contains(self):
self.btree.root = deep_btree()
for i in range(1, 9):
self.assertTrue(i in self.btree)
self.assertFalse(0 in self.btree)
self.assertFalse(9 in self.btree)
def test_insert_into_binary_tree(self):
## note - indexing grabs the node with that VALUE, not the node that exists at that index
# 1
self.btree.insert(1)
self.assertTrue(test_binary_node(self.btree[1], 1, None, None, None))
self.btree.insert(4, 1)
# 1
# /
# 4
self.assertTrue(test_binary_node(self.btree[1], 1, 4, None, None))
self.assertTrue(test_binary_node(self.btree[4], 4, None, None, 1))
self.btree.insert(3, 1)
# 1
# / \
# 4 3
self.assertTrue(test_binary_node(self.btree[1], 1, 4, 3, None))
self.assertTrue(test_binary_node(self.btree[4], 4, None, None, 1))
self.assertTrue(test_binary_node(self.btree[3], 3, None, None, 1))
self.btree.insert(2, 1, 4)
# 1
# / \
# 2 3
# /
# 4
self.assertTrue(test_binary_node(self.btree[1], 1, 2, 3, None))
self.assertTrue(test_binary_node(self.btree[2], 2, 4, None, 1))
self.assertTrue(test_binary_node(self.btree[3], 3, None, None, 1))
self.assertTrue(test_binary_node(self.btree[4], 4, None, None, 2))
# Binary Search Tree
def test_binary_search_node(self):
root = binary_search_tree()
for i in range(1, 9):
self.assertTrue(root.search(i))
self.assertFalse(root.search(0))
self.assertFalse(root.search(9))
def test_binary_search_insert(self):
# 5
# / \
# 3 8
# / \ /
# 2 4 6
root = BinarySearchNode(5)
self.assertTrue(test_binary_node(root, 5, None, None, None))
root.insert(3)
self.assertTrue(test_binary_node(root, 5, 3, None, None))
self.assertTrue(test_binary_node(root[3], 3, None, None, 5))
root.insert(8)
self.assertTrue(test_binary_node(root, 5, 3, 8, None))
self.assertTrue(test_binary_node(root[3], 3, None, None, 5))
self.assertTrue(test_binary_node(root[8], 8, None, None, 5))
root.insert(4)
self.assertTrue(test_binary_node(root, 5, 3, 8, None))
self.assertTrue(test_binary_node(root[3], 3, None, 4, 5))
self.assertTrue(test_binary_node(root[8], 8, None, None, 5))
self.assertTrue(test_binary_node(root[4], 4, None, None, 3))
root.insert(2)
self.assertTrue(test_binary_node(root, 5, 3, 8, None))
self.assertTrue(test_binary_node(root[3], 3, 2, 4, 5))
self.assertTrue(test_binary_node(root[8], 8, None, None, 5))
self.assertTrue(test_binary_node(root[2], 2, None, None, 3))
self.assertTrue(test_binary_node(root[4], 4, None, None, 3))
root.insert(6)
self.assertTrue(test_binary_node(root, 5, 3, 8, None))
self.assertTrue(test_binary_node(root[3], 3, 2, 4, 5))
self.assertTrue(test_binary_node(root[8], 8, 6, None, 5))
self.assertTrue(test_binary_node(root[2], 2, None, None, 3))
self.assertTrue(test_binary_node(root[4], 4, None, None, 3))
self.assertTrue(test_binary_node(root[6], 6, None, None, 8))
# def test_binary_search_remove_external_node(self):
# root = binary_search_tree()
# root.remove(1)
# self.assertTrue(test_binary_node(root, 5, 3, 8, None))
# self.assertTrue(test_binary_node(root[3], 3, 2, 4, 5))
# self.assertTrue(test_binary_node(root[8], 8, 6, None, 5))
# self.assertTrue(test_binary_node(root[2], 2, None, None, 3))
# self.assertTrue(test_binary_node(root[4], 4, None, None, 3))
# self.assertTrue(test_binary_node(root[6], 6, None, 7, 8))
# self.assertTrue(test_binary_node(root[7], 7, None, None, 6))
# self.assertFalse(1 in root)
# self.assertFalse(root.search(1))
def test_binary_search_remove_internal_node_without_children(self):
root = binary_search_tree()
root.remove(3, root[4])
self.assertTrue(test_binary_node(root, 5, 4, 8, None))
self.assertTrue(test_binary_node(root[4], 4, 2, None, 5))
self.assertTrue(test_binary_node(root[8], 8, 6, None, 5))
self.assertTrue(test_binary_node(root[2], 2, 1, None, 4))
self.assertTrue(test_binary_node(root[6], 6, None, 7, 8))
self.assertTrue(test_binary_node(root[7], 7, None, None, 6))
self.assertFalse(3 in root)
def test_binary_search_remove_internal_node_with_children1(self):
root = binary_search_tree()
root.insert(3.5)
root.insert(4.5)
root.remove(3, root[4])
self.assertTrue(test_binary_node(root, 5, 4, 8, None))
self.assertTrue(test_binary_node(root[4], 4, 3.5, 4.5, 5))
self.assertTrue(test_binary_node(root[8], 8, 6, None, 5))
self.assertTrue(test_binary_node(root[2], 2, 1, None, 3.5))
self.assertTrue(test_binary_node(root[6], 6, None, 7, 8))
self.assertTrue(test_binary_node(root[1], 1, None, None, 2))
self.assertTrue(test_binary_node(root[3.5], 3.5, 2, None, 4))
self.assertTrue(test_binary_node(root[4.5], 4.5, None, None, 4))
self.assertTrue(test_binary_node(root[7], 7, None, None, 6))
self.assertFalse(3 in root)
def test_binary_search_remove_internal_node_with_children2(self):
root = binary_search_tree()
root.insert(3.5)
root.insert(4.5)
root.remove(3, root[2])
self.assertTrue(test_binary_node(root, 5, 2, 8, None))
self.assertTrue(test_binary_node(root[2], 2, 1, 4, 5))
self.assertTrue(test_binary_node(root[8], 8, 6, None, 5))
self.assertTrue(test_binary_node(root[6], 6, None, 7, 8))
self.assertTrue(test_binary_node(root[1], 1, None, None, 2))
self.assertTrue(test_binary_node(root[4], 4, 3.5, 4.5, 2))
self.assertTrue(test_binary_node(root[3.5], 3.5, None, None, 4))
self.assertTrue(test_binary_node(root[4.5], 4.5, None, None, 4))
self.assertTrue(test_binary_node(root[7], 7, None, None, 6))
self.assertFalse(3 in root)
# HEAP
def test_heap_iteration(self):
heap = Heap(max_heap())
self.assertEqual([int(str(n)) for n in heap.breadth()], [17, 15, 10, 6, 10, 7])
self.assertEqual([int(str(n)) for n in heap], [17, 15, 10, 6, 10, 7])
self.assertEqual(heap.flatten(), [17, 15, 10, 6, 10, 7])
def test_find_open_with_empty_aunt(self):
node17 = HeapNode(17)
node15 = HeapNode(15)
node11 = HeapNode(11)
node6 = HeapNode(6)
node10 = HeapNode(10)
node17.left = node15
node17.right = node11
node15.left = node6
node15.right = HeapNode(10)
heap = Heap(node17)
self.assertEqual(heap[-1].value, 10)
self.assertEqual(heap.find_open(), (node11, 'left'))
def test_find_open_with_single_child_aunt(self):
node17 = HeapNode(17)
node15 = HeapNode(15)
node11 = HeapNode(11)
node6 = HeapNode(6)
node10 = HeapNode(10)
node7 = HeapNode(7)
node17.left = node15
node17.right = node11
node15.left = node6
node15.right = HeapNode(10)
node11.left = node7
heap = Heap(node17)
self.assertEqual(heap[-1].value, 7)
self.assertEqual(heap.find_open(), (node11, 'right'))
def test_find_open_with_non_empty_aunt(self):
node17 = HeapNode(17)
node15 = HeapNode(15)
node11 = HeapNode(11)
node6 = HeapNode(6)
node10 = HeapNode(10)
node7 = HeapNode(7)
node5 = HeapNode(5)
node17.left = node15
node17.right = node11
node15.left = node6
node15.right = HeapNode(10)
node11.left = node7
node11.right = node5
heap = Heap(node17)
self.assertEqual(heap[-1].value, 5)
self.assertEqual(heap.find_open(), (node6, 'left'))
def test_insert(self):
node17 = HeapNode(17)
heap = Heap(node17)
heap.insert(15)
self.assertTrue(test_binary_node(heap.root, 17, 15, None, None))
self.assertTrue(test_binary_node(heap.root.left, 15, None, None, 17))
heap.insert(10)
self.assertTrue(test_binary_node(heap.root, 17, 15, 10, None))
self.assertTrue(test_binary_node(heap.root.left, 15, None, None, 17))
self.assertTrue(test_binary_node(heap.root.right, 10, None, None, 17))
heap.insert(6)
self.assertTrue(test_binary_node(heap.root, 17, 15, 10, None))
self.assertTrue(test_binary_node(heap.root.left, 15, 6, None, 17))
self.assertTrue(test_binary_node(heap.root.right, 10, None, None, 17))
self.assertTrue(test_binary_node(heap.root.left.left, 6, None, None, 15))
heap.insert(10)
self.assertTrue(test_binary_node(heap.root, 17, 15, 10, None))
self.assertTrue(test_binary_node(heap.root.left, 15, 6, 10, 17))
self.assertTrue(test_binary_node(heap.root.right, 10, None, None, 17))
self.assertTrue(test_binary_node(heap.root.left.left, 6, None, None, 15))
self.assertTrue(test_binary_node(heap.root.left.right, 10, None, None, 15))
heap.insert(7)
self.assertTrue(test_binary_node(heap.root, 17, 15, 10, None))
self.assertTrue(test_binary_node(heap.root.left, 15, 6, 10, 17))
self.assertTrue(test_binary_node(heap.root.right, 10, 7, None, 17))
self.assertTrue(test_binary_node(heap.root.left.left, 6, None, None, 15))
self.assertTrue(test_binary_node(heap.root.left.right, 10, None, None, 15))
self.assertTrue(test_binary_node(heap.root.right.left, 7, None, None, 10))
def test_bubble(self):
# 17 17 100
# / \ / \ / \
# 15 10 --> 15 100 --> 15 17
# / \ / \ / \ / \ / \ / \
# 6 10 7 100 6 10 7 10 6 10 7 10
heap = Heap(max_heap())
parent = heap.root.right
last = HeapNode(100)
parent.right = last
last.parent = parent
heap.bubble(last)
self.assertTrue(test_binary_node(heap.root, 100, 15, 17, None))
self.assertTrue(test_binary_node(heap.root.right, 17, 7, 10, 100))
self.assertTrue(test_binary_node(heap.root.right.left, 7, None, None, 17))
self.assertTrue(test_binary_node(heap.root.right.right, 10, None, None, 17))
# 100 100 100
# / \ / \ / \
# 15 17 --> 15 17 --> 99 17
# / \ / \ / \ / \ / \ / \
# 6 10 7 10 99 10 7 10 15 10 7 10
# / / /
# 99 6 6
parent = heap.root.left.left
last = HeapNode(99)
last.parent = parent
parent.left = last
heap.bubble(last)
self.assertTrue(test_binary_node(heap.root, 100, 99, 17, None))
self.assertTrue(test_binary_node(heap.root.left, 99, 15, 10, 100))
self.assertTrue(test_binary_node(heap.root.left.left, 15, 6, None, 99))
self.assertTrue(test_binary_node(heap.root.left.right, 10, None, None, 99))
self.assertTrue(test_binary_node(heap.root.left.left.left, 6, None, None, 15))
# 100 100 100
# / \ / \ / \
# 99 17 --> 99 17 --> 100 17
# / \ / \ / \ / \ / \ / \
# 15 10 7 10 15 100 7 10 15 99 7 10
# / \ / / \ / / \ /
# 6 12 100 6 12 10 6 12 10
fifteen = heap.root.left.left
twelve = HeapNode(12)
twelve.parent = fifteen
fifteen.right = twelve
ten = heap.root.left.right
last = HeapNode(100)
ten.left = last
last.parent = ten
heap.bubble(last)
self.assertTrue(test_binary_node(heap.root, 100, 100, 17, None))
self.assertTrue(test_binary_node(heap.root.left, 100, 15, 99, 100))
self.assertTrue(test_binary_node(heap.root.left.left, 15, 6, 12, 100))
self.assertTrue(test_binary_node(heap.root.left.right, 99, 10, None, 100))
def test_insertion_with_percolation(self):
# 17
# / \
# 15 10
# / \ /
# 6 10 7
# 6
six = HeapNode(6)
heap = Heap(six)
self.assertTrue(test_binary_node(heap.root, 6, None, None, None))
# 6 10
# / --> /
# 10 6
heap.insert(10)
self.assertTrue(test_binary_node(heap.root, 10, 6, None, None))
self.assertTrue(test_binary_node(heap.root.left, 6, None, None, 10))
# 10 10
# / \ --> / \
# 6 7 6 7
heap.insert(7)
self.assertTrue(test_binary_node(heap.root, 10, 6, 7, None))
self.assertTrue(test_binary_node(heap.root.left, 6, None, None, 10))
self.assertTrue(test_binary_node(heap.root.right, 7, None, None, 10))
# 10 15
# / \ --> / \
# 6 7 10 7
# / /
# 15 6
heap.insert(15)
self.assertTrue(test_binary_node(heap.root, 15, 10, 7, None))
self.assertTrue(test_binary_node(heap.root.left, 10, 6, None, 15))
self.assertTrue(test_binary_node(heap.root.right, 7, None, None, 15))
self.assertTrue(test_binary_node(heap.root.left.left, 6, None, None, 10))
# 15 17
# / \ --> / \
# 10 7 15 7
# / \ / \
# 6 17 6 10
heap.insert(17)
self.assertTrue(test_binary_node(heap.root, 17, 15, 7, None))
self.assertTrue(test_binary_node(heap.root.left, 15, 6, 10, 17))
self.assertTrue(test_binary_node(heap.root.right, 7, None, None, 17))
self.assertTrue(test_binary_node(heap.root.left.left, 6, None, None, 15))
self.assertTrue(test_binary_node(heap.root.left.right, 10, None, None, 15))
# 17 17
# / \ --> / \
# 15 7 15 11
# / \ / / \ /
# 6 10 11 6 10 7
heap.insert(11)
self.assertTrue(test_binary_node(heap.root, 17, 15, 11, None))
self.assertTrue(test_binary_node(heap.root.left, 15, 6, 10, 17))
self.assertTrue(test_binary_node(heap.root.right, 11, 7, None, 17))
self.assertTrue(test_binary_node(heap.root.left.left, 6, None, None, 15))
self.assertTrue(test_binary_node(heap.root.left.right, 10, None, None, 15))
self.assertTrue(test_binary_node(heap.root.right.left, 7, None, None, 11))
def test_build_from_array(self):
heap1 = [17, 15, 11, 6, 10, 7]
heap2 = [6, 10, 7, 15, 17, 11]
heap = Heap(array=heap1)
self.assertTrue(test_binary_node(heap.root, 17, 15, 11, None))
self.assertTrue(test_binary_node(heap.root.left, 15, 6, 10, 17))
self.assertTrue(test_binary_node(heap.root.right, 11, 7, None, 17))
self.assertTrue(test_binary_node(heap.root.left.left, 6, None, None, 15))
self.assertTrue(test_binary_node(heap.root.left.right, 10, None, None, 15))
self.assertTrue(test_binary_node(heap.root.right.left, 7, None, None, 11))
heap = Heap(array=heap2)
self.assertTrue(test_binary_node(heap.root, 17, 15, 11, None))
self.assertTrue(test_binary_node(heap.root.left, 15, 6, 10, 17))
self.assertTrue(test_binary_node(heap.root.right, 11, 7, None, 17))
self.assertTrue(test_binary_node(heap.root.left.left, 6, None, None, 15))
self.assertTrue(test_binary_node(heap.root.left.right, 10, None, None, 15))
self.assertTrue(test_binary_node(heap.root.right.left, 7, None, None, 11))
def test_delete(self):
# 17 7 15 15
# / \ / \ / \ / \
# 15 11 --> 15 11 --> 7 11 --> 10 11
# / \ / / \ / \ / \
# 6 10 7 6 10 6 10 6 7
heap = Heap(max_heap())
heap[2].value = 11
heap.delete_root()
self.assertTrue(test_binary_node(heap.root, 15, 10, 11, None))
self.assertTrue(test_binary_node(heap.root.left, 10, 6, 7, 15))
self.assertTrue(test_binary_node(heap.root.right, 11, None, None, 15))
self.assertTrue(test_binary_node(heap.root.left.left, 6, None, None, 10))
self.assertTrue(test_binary_node(heap.root.left.right, 7, None, None, 10))
# 15 7 11
# / \ / \ / \
# 10 11 --> 10 11 --> 10 7
# / \ / /
# 6 7 6 6
heap.delete_root()
self.assertTrue(test_binary_node(heap.root, 11, 10, 7, None))
self.assertTrue(test_binary_node(heap.root.left, 10, 6, None, 11))
self.assertTrue(test_binary_node(heap.root.right, 7, None, None, 11))
self.assertTrue(test_binary_node(heap.root.left.left, 6, None, None, 10))
# 11 6 10
# / \ / \ / \
# 10 7 --> 10 7 --> 6 7
# /
# 6
heap.delete_root()
self.assertTrue(test_binary_node(heap.root, 10, 6, 7, None))
self.assertTrue(test_binary_node(heap.root.left, 6, None, None, 10))
self.assertTrue(test_binary_node(heap.root.right, 7, None, None, 10))
# 10 7
# / \ --> /
# 6 7 6
heap.delete_root()
self.assertTrue(test_binary_node(heap.root, 7, 6, None, None))
self.assertTrue(test_binary_node(heap.root.left, 6, None, None, 7))
# 7
# / --> 6
# 6
heap.delete_root()
self.assertTrue(test_binary_node(heap.root, 6, None, None, None))
# 6 --> None
heap.delete_root()
self.assertFalse(heap.root)
