Initial commit

2019-11-15 12:59:38 +01:00
parent 40a414d210
commit b880c3ccde
6814 changed files with 379441 additions and 0 deletions
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+AvlTree.h - Header file for AVL tree
+	
+	#ifndef AVL_TREE_H_
+        #define AVL_TREE_H_
+
+
+          // Node and forward declaration because g++ does
+          // not understand nested classes.
+        template <class Comparable>
+        class AvlTree;
+
+        template <class Comparable>
+        class AvlNode
+        {
+            Comparable element;
+            AvlNode   *left;
+            AvlNode   *right;
+            int       height;
+
+            AvlNode( const Comparable & theElement, AvlNode *lt, AvlNode *rt, int h = 0 )
+              : element( theElement ), left( lt ), right( rt ), height( h ) { }
+            friend class AvlTree<Comparable>;
+        };
+
+        #include "dsexceptions.h"
+        #include <iostream.h>       // For NULL
+
+        // AvlTree class
+        //
+        // CONSTRUCTION: with ITEM_NOT_FOUND object used to signal failed finds
+        //
+        // ******************PUBLIC OPERATIONS*********************
+        // void insert( x )       --> Insert x
+        // void remove( x )       --> Remove x (unimplemented)
+        // 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
+
+        template <class Comparable>
+        class AvlTree
+        {
+          public:
+            explicit AvlTree( const Comparable & notFound );
+            AvlTree( const AvlTree & rhs );
+            ~AvlTree( );
+
+            const Comparable & findMin( ) const;
+            const Comparable & findMax( ) const;
+            const Comparable & find( const Comparable & x ) const;
+            bool isEmpty( ) const;
+            void printTree( ) const;
+
+            void makeEmpty( );
+            void insert( const Comparable & x );
+            void remove( const Comparable & x );
+
+            const AvlTree & operator=( const AvlTree & rhs );
+
+          private:
+            AvlNode<Comparable> *root;
+            const Comparable ITEM_NOT_FOUND;
+
+            const Comparable & elementAt( AvlNode<Comparable> *t ) const;
+
+            void insert( const Comparable & x, AvlNode<Comparable> * & t ) const;
+            AvlNode<Comparable> * findMin( AvlNode<Comparable> *t ) const;
+            AvlNode<Comparable> * findMax( AvlNode<Comparable> *t ) const;
+            AvlNode<Comparable> * find( const Comparable & x, AvlNode<Comparable> *t ) const;
+            void makeEmpty( AvlNode<Comparable> * & t ) const;
+            void printTree( AvlNode<Comparable> *t ) const;
+            AvlNode<Comparable> * clone( AvlNode<Comparable> *t ) const;
+
+                // Avl manipulations
+            int height( AvlNode<Comparable> *t ) const;
+            int max( int lhs, int rhs ) const;
+            void rotateWithLeftChild( AvlNode<Comparable> * & k2 ) const;
+            void rotateWithRightChild( AvlNode<Comparable> * & k1 ) const;
+            void doubleWithLeftChild( AvlNode<Comparable> * & k3 ) const;
+            void doubleWithRightChild( AvlNode<Comparable> * & k1 ) const;
+        };
+
+        #include "AvlTree.cpp"
+        #endif