- New node mandatory Write a function that creates a binary tree node
Prototype: binary_tree_t *binary_tree_node(binary_tree_t *parent, int value); Where parent is a pointer to the parent node of the node to create And value is the value to put in the new node When created, a node does not have any child Your function must return a pointer to the new node, or NULL on failure
- Insert left mandatory Write a function that inserts a node as the left-child of another node
Prototype: binary_tree_t *binary_tree_insert_left(binary_tree_t *parent, int value); Where parent is a pointer to the node to insert the left-child in And value is the value to store in the new node Your function must return a pointer to the created node, or NULL on failure or if parent is NULL If parent already has a left-child, the new node must take its place, and the old left-child must be set as the left-child of the new node. 2. Insert right mandatory Write a function that inserts a node as the right-child of another node
Prototype: binary_tree_t *binary_tree_insert_right(binary_tree_t *parent, int value); Where parent is a pointer to the node to insert the right-child in And value is the value to store in the new node Your function must return a pointer to the created node, or NULL on failure or if parent is NULL If parent already has a right-child, the new node must take its place, and the old right-child must be set as the right-child of the new node. 3. Delete mandatory Write a function that deletes an entire binary tree
Prototype: void binary_tree_delete(binary_tree_t *tree); Where tree is a pointer to the root node of the tree to delete If tree is NULL, do nothing 4. Is leaf mandatory Write a function that checks if a node is a leaf
Prototype: int binary_tree_is_leaf(const binary_tree_t *node); Where node is a pointer to the node to check Your function must return 1 if node is a leaf, otherwise 0 If node is NULL, return 0 5. Is root mandatory Write a function that checks if a given node is a root
Prototype: int binary_tree_is_root(const binary_tree_t *node); Where node is a pointer to the node to check Your function must return 1 if node is a root, otherwise 0 If node is NULL, return 0 6. Pre-order traversal mandatory Write a function that goes through a binary tree using pre-order traversal
Prototype: void binary_tree_preorder(const binary_tree_t *tree, void (*func)(int)); Where tree is a pointer to the root node of the tree to traverse And func is a pointer to a function to call for each node. The value in the node must be passed as a parameter to this function. If tree or func is NULL, do nothing 7. In-order traversal mandatory Write a function that goes through a binary tree using in-order traversal
Prototype: void binary_tree_inorder(const binary_tree_t *tree, void (*func)(int)); Where tree is a pointer to the root node of the tree to traverse And func is a pointer to a function to call for each node. The value in the node must be passed as a parameter to this function. If tree or func is NULL, do nothing 8. Post-order traversal mandatory Write a function that goes through a binary tree using post-order traversal
Prototype: void binary_tree_postorder(const binary_tree_t *tree, void (*func)(int)); Where tree is a pointer to the root node of the tree to traverse And func is a pointer to a function to call for each node. The value in the node must be passed as a parameter to this function. If tree or func is NULL, do nothing
- Depth mandatory Write a function that measures the depth of a node in a binary tree
Prototype: size_t binary_tree_depth(const binary_tree_t *tree); Where tree is a pointer to the node to measure the depth If tree is NULL, your function must return 0 11. Size mandatory Write a function that measures the size of a binary tree
Prototype: size_t binary_tree_size(const binary_tree_t *tree); Where tree is a pointer to the root node of the tree to measure the size If tree is NULL, the function must return 0 12. Leaves mandatory Write a function that counts the leaves in a binary tree
Prototype: size_t binary_tree_leaves(const binary_tree_t *tree); Where tree is a pointer to the root node of the tree to count the number of leaves If tree is NULL, the function must return 0 A NULL pointer is not a leaf 13. Nodes mandatory Write a function that counts the nodes with at least 1 child in a binary tree
Prototype: size_t binary_tree_nodes(const binary_tree_t *tree); Where tree is a pointer to the root node of the tree to count the number of nodes If tree is NULL, the function must return 0 A NULL pointer is not a node 14. Balance factor mandatory Write a function that measures the balance factor of a binary tree
Prototype: int binary_tree_balance(const binary_tree_t *tree); Where tree is a pointer to the root node of the tree to measure the balance factor If tree is NULL, return 0 15. Is full mandatory Write a function that checks if a binary tree is full
Prototype: int binary_tree_is_full(const binary_tree_t *tree); Where tree is a pointer to the root node of the tree to check If tree is NULL, your function must return 0 16. Is perfect mandatory Write a function that checks if a binary tree is perfect
Prototype: int binary_tree_is_perfect(const binary_tree_t *tree); Where tree is a pointer to the root node of the tree to check If tree is NULL, your function must return 0 17. Sibling mandatory Write a function that finds the sibling of a node
Prototype: binary_tree_t *binary_tree_sibling(binary_tree_t *node); Where node is a pointer to the node to find the sibling Your function must return a pointer to the sibling node If node is NULL or the parent is NULL, return NULL If node has no sibling, return NULL 18. Uncle mandatory Write a function that finds the uncle of a node
Prototype: binary_tree_t *binary_tree_uncle(binary_tree_t *node); Where node is a pointer to the node to find the uncle Your function must return a pointer to the uncle node If node is NULL, return NULL If node has no uncle, return NULL