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BinarySearchTree.h - Header file for binary search tree
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#ifndef BINARY_SEARCH_TREE_H_
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#define BINARY_SEARCH_TREE_H_
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#include "dsexceptions.h"
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#include <iostream.h> // For NULL
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// Binary node and forward declaration because g++ does
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// not understand nested classes.
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template <class Comparable>
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class BinarySearchTree;
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template <class Comparable>
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class BinaryNode
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{
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Comparable element;
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BinaryNode *left;
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BinaryNode *right;
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BinaryNode( const Comparable & theElement, BinaryNode *lt, BinaryNode *rt )
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: element( theElement ), left( lt ), right( rt ) { }
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friend class BinarySearchTree<Comparable>;
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};
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// BinarySearchTree class
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//
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// CONSTRUCTION: with ITEM_NOT_FOUND object used to signal failed finds
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//
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// ******************PUBLIC OPERATIONS*********************
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// void insert( x ) --> Insert x
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// void remove( x ) --> Remove x
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// Comparable find( x ) --> Return item that matches x
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// Comparable findMin( ) --> Return smallest item
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// Comparable findMax( ) --> Return largest item
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// boolean isEmpty( ) --> Return true if empty; else false
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// void makeEmpty( ) --> Remove all items
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// void printTree( ) --> Print tree in sorted order
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template <class Comparable>
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class BinarySearchTree
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{
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public:
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explicit BinarySearchTree( const Comparable & notFound );
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BinarySearchTree( const BinarySearchTree & rhs );
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~BinarySearchTree( );
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const Comparable & findMin( ) const;
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const Comparable & findMax( ) const;
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const Comparable & find( const Comparable & x ) const;
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bool isEmpty( ) const;
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void printTree( ) const;
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void makeEmpty( );
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void insert( const Comparable & x );
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void remove( const Comparable & x );
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const BinarySearchTree & operator=( const BinarySearchTree & rhs );
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private:
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BinaryNode<Comparable> *root;
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const Comparable ITEM_NOT_FOUND;
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const Comparable & elementAt( BinaryNode<Comparable> *t ) const;
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void insert( const Comparable & x, BinaryNode<Comparable> * & t ) const;
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void remove( const Comparable & x, BinaryNode<Comparable> * & t ) const;
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BinaryNode<Comparable> * findMin( BinaryNode<Comparable> *t ) const;
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BinaryNode<Comparable> * findMax( BinaryNode<Comparable> *t ) const;
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BinaryNode<Comparable> * find( const Comparable & x, BinaryNode<Comparable> *t ) const;
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void makeEmpty( BinaryNode<Comparable> * & t ) const;
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void printTree( BinaryNode<Comparable> *t ) const;
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BinaryNode<Comparable> * clone( BinaryNode<Comparable> *t ) const;
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};
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#include "BinarySearchTree.cpp"
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#endif
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