lab_trees
aka "Tempestuous Trees"
Classes | Public Member Functions | List of all members
BinaryTree< T > Class Template Reference

The BinaryTree class represents a templated linked-memory tree data structure. More...

#include <binarytree.h>

Public Member Functions

 BinaryTree ()
 Constructor to create an empty tree.
 
 BinaryTree (const BinaryTree &other)
 Copy constructor.
 
 ~BinaryTree ()
 Destructor; frees all nodes associated by this tree.
 
const BinaryTreeoperator= (const BinaryTree &rhs)
 Assignment operator. More...
 
void clear ()
 Frees all nodes associated with this tree and sets it to be empty.
 
void insert (const T &elem, bool sorted=false)
 Inserts into the BinaryTree. More...
 
void print () const
 Prints the contents of the tree to stdout.
 
int height () const
 This lab deals with the following six helper functions: More...
 
void printLeftToRight () const
 Prints out the values of the nodes of a binary tree in order. More...
 
void mirror ()
 Flips the tree over a vertical axis, modifying the tree itself (not creating a flipped copy).
 
bool isOrdered () const
 
void printPaths () const
 Prints out all the possible paths from the root of the tree to any leaf node. More...
 
int sumDistances () const
 Each node in a tree has a distance from the root node - the depth of that node, or the number of edges along the path from that node to the root. More...
 

Detailed Description

template<typename T>
class BinaryTree< T >

The BinaryTree class represents a templated linked-memory tree data structure.

Member Function Documentation

template<typename T >
const BinaryTree< T > & BinaryTree< T >::operator= ( const BinaryTree< T > &  rhs)

Assignment operator.

Parameters
rhsThe tree to make a copy of
Returns
A reference to the current tree
template<typename T >
void BinaryTree< T >::insert ( const T &  elem,
bool  sorted = false 
)

Inserts into the BinaryTree.

Parameters
elemThe element to insert
sortedBy default, this parameter is false. That means that the element takes a pseudo-random path to a leaf where it is inserted. If true, the insert function will act like it does in a BST.
template<typename T >
int BinaryTree< T >::height ( ) const

This lab deals with the following six helper functions:

Returns
The height of the binary tree. Recall that the height of a binary tree is just the length of the longest path from the root to a leaf, and that the height of an empty tree is -1.
template<typename T >
void BinaryTree< T >::printLeftToRight ( ) const

Prints out the values of the nodes of a binary tree in order.

That is, everything to the left of a node will be printed out before that node itself, and everything to the right of a node will be printed out after that node.

template<typename T >
bool BinaryTree< T >::isOrdered ( ) const
Returns
True if an in-order traversal of the tree would produce a nondecreasing list output values, and false otherwise. This is also the criterion for a binary tree to be a binary search tree.
template<typename T >
void BinaryTree< T >::printPaths ( ) const

Prints out all the possible paths from the root of the tree to any leaf node.

That is, all sequences starting at the root node and continuing downwards, ending at a leaf node. Paths ending in a left node should be printed before paths ending in a node further to the right.

template<typename T >
int BinaryTree< T >::sumDistances ( ) const

Each node in a tree has a distance from the root node - the depth of that node, or the number of edges along the path from that node to the root.

This function returns the sum of the distances of all nodes to the root node (the sum of the depths of all the nodes). Your solution should take O(n) time, where n is the number of nodes in the tree.

Returns
The sum of the distances of all nodes to the root

The documentation for this class was generated from the following files: