83 lines
2.9 KiB
C++
83 lines
2.9 KiB
C++
|
SplayTree.h - Header file for top-down splay tree
|
||
|
|
||
|
#ifndef SPLAY_TREE_H_
|
||
|
#define SPLAY_TREE_H_
|
||
|
|
||
|
#include "dsexceptions.h"
|
||
|
#include <iostream.h> // For NULL
|
||
|
|
||
|
// SplayTree class
|
||
|
//
|
||
|
// CONSTRUCTION: with ITEM_NOT_FOUND object used to signal failed finds
|
||
|
//
|
||
|
// ******************PUBLIC OPERATIONS*********************
|
||
|
// void insert( x ) --> Insert x
|
||
|
// void remove( x ) --> Remove x
|
||
|
// Comparable find( x ) --> Return item that matches x
|
||
|
// Comparable findMin( ) --> Return smallest item
|
||
|
// Comparable findMax( ) --> Return largest item
|
||
|
// boolean isEmpty( ) --> Return true if empty; else false
|
||
|
// void makeEmpty( ) --> Remove all items
|
||
|
// void printTree( ) --> Print tree in sorted order
|
||
|
|
||
|
|
||
|
// Node and forward declaration because g++ does
|
||
|
// not understand nested classes.
|
||
|
template <class Comparable>
|
||
|
class SplayTree;
|
||
|
|
||
|
template <class Comparable>
|
||
|
class BinaryNode
|
||
|
{
|
||
|
Comparable element;
|
||
|
BinaryNode *left;
|
||
|
BinaryNode *right;
|
||
|
|
||
|
BinaryNode( ) : left( NULL ), right( NULL ) { }
|
||
|
BinaryNode( const Comparable & theElement, BinaryNode *lt, BinaryNode *rt )
|
||
|
: element( theElement ), left( lt ), right( rt ) { }
|
||
|
|
||
|
friend class SplayTree<Comparable>;
|
||
|
};
|
||
|
|
||
|
|
||
|
template <class Comparable>
|
||
|
class SplayTree
|
||
|
{
|
||
|
public:
|
||
|
explicit SplayTree( const Comparable & notFound );
|
||
|
SplayTree( const SplayTree & rhs );
|
||
|
~SplayTree( );
|
||
|
|
||
|
const Comparable & findMin( );
|
||
|
const Comparable & findMax( );
|
||
|
const Comparable & find( const Comparable & x );
|
||
|
bool isEmpty( ) const;
|
||
|
void printTree( ) const;
|
||
|
|
||
|
void makeEmpty( );
|
||
|
void insert( const Comparable & x );
|
||
|
void remove( const Comparable & x );
|
||
|
|
||
|
const SplayTree & operator=( const SplayTree & rhs );
|
||
|
|
||
|
private:
|
||
|
BinaryNode<Comparable> *root;
|
||
|
BinaryNode<Comparable> *nullNode;
|
||
|
const Comparable ITEM_NOT_FOUND;
|
||
|
|
||
|
const Comparable & elementAt( BinaryNode<Comparable> *t ) const;
|
||
|
|
||
|
void reclaimMemory( BinaryNode<Comparable> * t ) const;
|
||
|
void printTree( BinaryNode<Comparable> *t ) const;
|
||
|
BinaryNode<Comparable> * clone( BinaryNode<Comparable> *t ) const;
|
||
|
|
||
|
// Tree manipulations
|
||
|
void rotateWithLeftChild( BinaryNode<Comparable> * & k2 ) const;
|
||
|
void rotateWithRightChild( BinaryNode<Comparable> * & k1 ) const;
|
||
|
void splay( const Comparable & x, BinaryNode<Comparable> * & t ) const;
|
||
|
};
|
||
|
|
||
|
#include "SplayTree.cpp"
|
||
|
#endif
|