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DSL.cpp - Implementation for deterministic skip list
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#include "DSL.h"
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/**
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* Construct the tree.
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* inf is the largest Comparable
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* and is used to signal failed finds.
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*/
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template <class Comparable>
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DSL<Comparable>::DSL( const Comparable & inf ) : INFINITY( inf )
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{
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bottom = new SkipNode<Comparable>( );
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bottom->right = bottom->down = bottom;
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tail = new SkipNode<Comparable>( INFINITY );
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tail->right = tail;
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header = new SkipNode<Comparable>( INFINITY, tail, bottom );
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}
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/**
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* Copy constructor.
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* Left as an exercise.
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*/
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template <class Comparable>
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DSL<Comparable>::DSL( const DSL<Comparable> & rhs ) : INFINITY( rhs.INFINITY)
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{
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cout << "Copy constructor is unimplemented" << endl;
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}
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/**
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* Destructor.
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*/
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template <class Comparable>
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DSL<Comparable>::~DSL( )
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{
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makeEmpty( );
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delete header;
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delete tail;
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delete bottom;
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}
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/**
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* Insert item x into the DSL.
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*/
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template <class Comparable>
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void DSL<Comparable>::insert( const Comparable & x )
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{
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SkipNode<Comparable> *current = header;
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bottom->element = x;
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while( current != bottom )
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{
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while( current->element < x )
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current = current->right;
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// If gap size is 3 or at bottom level and
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// must insert, then promote middle element
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if( current->down->right->right->element < current->element )
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{
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current->right = new SkipNode<Comparable>( current->element,
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current->right, current->down->right->right );
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current->element = current->down->right->element;
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}
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else
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current = current->down;
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}
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// Raise height of DSL if necessary
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if( header->right != tail )
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header = new SkipNode<Comparable>( INFINITY, tail, header );
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}
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/**
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* Remove item x from the DSL. Unimplemented.
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*/
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template <class Comparable>
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void DSL<Comparable>::remove( const Comparable & x )
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{
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cout << "Sorry, remove unimplemented; " << x <<
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" still present" << endl;
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}
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/**
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* Find the smallest item in the tree.
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* Return smallest item or INFINITY if empty.
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*/
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template <class Comparable>
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const Comparable & DSL<Comparable>::findMin( ) const
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{
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if( isEmpty( ) )
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return INFINITY;
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SkipNode<Comparable> *current = header;
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while( current->down != bottom )
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current = current->down;
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return elementAt( current );
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}
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/**
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* Find the largest item in the tree.
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* Return the largest item or INFINITY if empty.
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*/
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template <class Comparable>
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const Comparable & DSL<Comparable>::findMax( ) const
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{
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if( isEmpty( ) )
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return INFINITY;
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SkipNode<Comparable> *current = header;
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for( ; ; )
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if( current->right->right != tail )
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current = current->right;
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else if( current->down != bottom )
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current = current->down;
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else
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return elementAt( current );
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}
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/**
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* Find item x in the tree.
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* Return the matching item or INFINITY if not found.
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*/
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template <class Comparable>
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const Comparable & DSL<Comparable>::find( const Comparable & x ) const
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{
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SkipNode<Comparable> *current = header;
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bottom->element = x;
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for( ; ; )
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if( x < current->element )
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current = current->down;
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else if( current->element < x )
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current = current->right;
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else
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return elementAt( current );
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}
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/**
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* Make the tree logically empty.
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*/
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template <class Comparable>
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void DSL<Comparable>::makeEmpty( )
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{
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reclaimMemory( header );
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header->right = tail;
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header->down = bottom;
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}
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/**
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* Test if the tree is logically empty.
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* Return true if empty, false otherwise.
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*/
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template <class Comparable>
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bool DSL<Comparable>::isEmpty( ) const
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{
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return header->right == tail && header->down == bottom;
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}
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/**
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* Internal method to get element field from node t.
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* Return the element field or INFINITY if t is at the bottom.
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*/
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template <class Comparable>
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const Comparable & DSL<Comparable>::
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elementAt( SkipNode<Comparable> *t ) const
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{
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if( t == bottom )
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return INFINITY;
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else
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return t->element;
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}
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/**
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* Print the DSL.
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*/
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template <class Comparable>
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void DSL<Comparable>::printList( ) const
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{
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SkipNode<Comparable> *current = header;
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while( current->down != bottom )
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current = current->down;
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while( current->right != tail )
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{
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cout << current->element << endl;
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current = current->right;
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}
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}
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/**
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* Deep copy. Left as an exercise
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*/
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template <class Comparable>
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const DSL<Comparable> &
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DSL<Comparable>::operator=( const DSL<Comparable> & rhs )
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{
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if( this != &rhs )
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cout << "Sorry, operator= is unimplemented" << endl;
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return *this;
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}
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/**
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* reclaimMemory is left as an exercise.
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* Hint: delete from top level to bottom level.
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*/
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template <class Comparable>
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void DSL<Comparable>::reclaimMemory( SkipNode<Comparable> *t ) const
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{
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if( t != bottom )
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cout << "reclaimMemory is unimplemented -- leaking!" << endl;
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}
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