poemstree.h
b7b1257b0146master

poemstree.h
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			/*
			_________________________________________________________________________
			* POEMS: PARALLELIZABLE OPEN SOURCE EFFICIENT MULTIBODY SOFTWARE *
			* DESCRIPTION: SEE READ-ME *
			* FILE NAME: poemstree.h *
			* AUTHORS: See Author List *
			* GRANTS: See Grants List *
			* COPYRIGHT: (C) 2005 by Authors as listed in Author's List *
			* LICENSE: Please see License Agreement *
			* DOWNLOAD: Free at www.rpi.edu/~anderk5 *
			* ADMINISTRATOR: Prof. Kurt Anderson *
			* Computational Dynamics Lab *
			* Rensselaer Polytechnic Institute *
			* 110 8th St. Troy NY 12180 *
			* CONTACT: anderk5@rpi.edu *
			_________________________________________________________________________/

			#ifndef TREE_H
			#define TREE_H

			#include "poemstreenode.h"
			#include "poemsnodelib.h"


			// constants to indicate the balance factor of a node
			const int leftheavy = -1;
			const int balanced = 0;
			const int rightheavy = 1;



			class Tree{
			protected:
			// pointer to tree root and node most recently accessed
			TreeNode *root;
			TreeNode *current;

			// number of elements in the tree
			int size;
			// used by the copy constructor and assignment operator
			TreeNode CopyTree(TreeNode t);

			// used by insert and delete method to re-establish
			// the avl conditions after a node is added or deleted
			// from a subtree
			void SingleRotateLeft (TreeNode* &p);
			void SingleRotateRight (TreeNode* &p);
			void DoubleRotateLeft (TreeNode* &p);
			void DoubleRotateRight (TreeNode* &p);
			void UpdateLeftTree (TreeNode* &p, int &reviseBalanceFactor);
			void UpdateRightTree (TreeNode* &p, int &reviseBalanceFactor);


			// used by destructor, assignment operator and ClearList
			void DeleteTree(TreeNode *t);
			void ClearTree(TreeNode * &t);

			// locate a node with data item and its parent in tree
			// used by Find and Delete
			TreeNode FindNode(const int& item, TreeNode & parent) const;

			public:
			// constructor, destructor
			Tree(void);
			~Tree(void)
			{
			ClearTree(root);
			};

			// assignment operator
			Tree& operator= (const Tree& rhs);

			// standard list handling methods
			void * Find(int& item);
			void * GetAuxData(int item) { return (void *)(FindNode(item, root)->GetAuxData());}
			void Insert(const int& item, const int& data, void * AuxData = NULL);
			void Delete(const int& item);
			void AVLInsert(TreeNode* &tree, TreeNode* newNode, int &reviseBalanceFactor);
			void ClearList(void);

			// tree specific methods
			void Update(const int& item);
			TreeNode *GetRoot(void) const;
			};


			// constructor
			Tree::Tree(void)
			{
			root = 0;
			current = 0;
			size = 0;
			}



			// return root pointer
			TreeNode *Tree::GetRoot(void) const
			{
			return root;
			}


			// assignment operator
			Tree& Tree::operator = (const Tree& rhs)
			{
			// can't copy a tree to itself
			if (this == &rhs)
			return *this;

			// clear current tree. copy new tree into current object
			ClearList();
			root = CopyTree(rhs.root);

			// assign current to root and set the tree size
			current = root;
			size = rhs.size;

			// return reference to current object
			return *this;
			}

			// search for data item in the tree. if found, return its node
			// address and a pointer to its parent; otherwise, return NULL
			TreeNode *Tree::FindNode(const int& item,
			TreeNode* & parent) const
			{
			// cycle t through the tree starting with root
			TreeNode *t = root;

			// the parent of the root is NULL
			parent = NULL;

			// terminate on empty subtree
			while(t != NULL)
			{
			// stop on a match
			if (item == t->data)
			break;
			else
			{
			// update the parent pointer and move right of left
			parent = t;
			if (item < t->data)
			t = t->left;
			else
			t = t->right;
			}
			}

			// return pointer to node; NULL if not found
			return t;
			}

			// search for item. if found, assign the node data to item
			void * Tree::Find(int& item)
			{
			// we use FindNode, which requires a parent parameter
			TreeNode *parent;

			// search tree for item. assign matching node to current
			current = FindNode (item, parent);

			// if item found, assign data to item and return True
			if (current != NULL)
			{
			item = current->data;
			return current->GetAuxData();
			}
			else
			// item not found in the tree. return False
			return NULL;
			}


			void Tree::Insert(const int& item, const int& data, void * AuxData)
			{
			// declare AVL tree node pointer; using base class method
			// GetRoot. cast to larger node and assign root pointer
			TreeNode treeRoot, newNode;
			treeRoot = GetRoot();

			// flag used by AVLInsert to rebalance nodes
			int reviseBalanceFactor = 0;

			// get a new AVL tree node with empty pointer fields
			newNode = GetTreeNode(item,NULL,NULL);
			newNode->data = data;
			newNode->SetAuxData(AuxData);
			// call recursive routine to actually insert the element
			AVLInsert(treeRoot, newNode, reviseBalanceFactor);

			// assign new values to data members in the base class
			root = treeRoot;
			current = newNode;
			size++;

			}

			void Tree::AVLInsert(TreeNode &tree, TreeNode newNode, int &reviseBalanceFactor)
			{
			// flag indicates change node's balanceFactor will occur
			int rebalanceCurrNode;

			// scan reaches an empty tree; time to insert the new node
			if (tree == NULL)
			{
			// update the parent to point at newNode
			tree = newNode;

			// assign balanceFactor = 0 to new node
			tree->balanceFactor = balanced;
			// broadcast message; balanceFactor value is modified
			reviseBalanceFactor = 1;
			}
			// recursively move left if new data < current data
			else if (newNode->data < tree->data)
			{
			AVLInsert(tree->left,newNode,rebalanceCurrNode);
			// check if balanceFactor must be updated.
			if (rebalanceCurrNode)
			{
			// went left from node that is left heavy. will
			// violate AVL condition; use rotation (case 3)
			if (tree->balanceFactor == leftheavy)
			UpdateLeftTree(tree,reviseBalanceFactor);

			// went left from balanced node. will create
			// node left on the left. AVL condition OK (case 1)
			else if (tree->balanceFactor == balanced)
			{
			tree->balanceFactor = leftheavy;
			reviseBalanceFactor = 1;
			}
			// went left from node that is right heavy. will
			// balance the node. AVL condition OK (case 2)
			else
			{
			tree->balanceFactor = balanced;
			reviseBalanceFactor = 0;
			}
			}
			else
			// no balancing occurs; do not ask previous nodes
			reviseBalanceFactor = 0;
			}
			// otherwise recursively move right
			else
			{
			AVLInsert(tree->right, newNode, rebalanceCurrNode);
			// check if balanceFactor must be updated.
			if (rebalanceCurrNode)
			{
			// went right from node that is left heavy. wil;
			// balance the node. AVL condition OK (case 2)
			if (tree->balanceFactor == leftheavy)
			{
			// scanning right subtree. node heavy on left.
			// the node will become balanced
			tree->balanceFactor = balanced;
			reviseBalanceFactor = 0;
			}
			// went right from balanced node. will create
			// node heavy on the right. AVL condition OK (case 1)
			else if (tree->balanceFactor == balanced)
			{
			// node is balanced; will become heavy on right
			tree->balanceFactor = rightheavy;
			reviseBalanceFactor = 1;
			}
			// went right from node that is right heavy. will
			// violate AVL condition; use rotation (case 3)
			else
			UpdateRightTree(tree, reviseBalanceFactor);
			}
			else
			reviseBalanceFactor = 0;
			}
			}


			void Tree::UpdateLeftTree (TreeNode* &p, int &reviseBalanceFactor)
			{
			TreeNode *lc;

			lc = p->Left(); // left subtree is also heavy
			if (lc->balanceFactor == leftheavy)
			{
			SingleRotateRight(p);
			reviseBalanceFactor = 0;
			}
			// is right subtree heavy?
			else if (lc->balanceFactor == rightheavy)
			{
			// make a double rotation
			DoubleRotateRight(p);
			// root is now balance
			reviseBalanceFactor = 0;
			}
			}

			void Tree::UpdateRightTree (TreeNode* &p, int &reviseBalanceFactor)
			{
			TreeNode *lc;

			lc = p->Right(); // right subtree is also heavy
			if (lc->balanceFactor == rightheavy)
			{
			SingleRotateLeft(p);
			reviseBalanceFactor = 0;
			}
			// is left subtree heavy?
			else if (lc->balanceFactor == leftheavy)
			{
			// make a double rotation
			DoubleRotateLeft(p);
			// root is now balance
			reviseBalanceFactor = 0;
			}
			}

			void Tree::SingleRotateRight (TreeNode* &p)
			{
			// the left subtree of p is heavy
			TreeNode *lc;

			// assign the left subtree to lc
			lc = p->Left();

			// update the balance factor for parent and left child
			p->balanceFactor = balanced;
			lc->balanceFactor = balanced;

			// any right subtree st of lc must continue as right
			// subtree of lc. do by making it a left subtree of p
			p->left = lc->Right();

			// rotate p (larger node) into right subtree of lc
			// make lc the pivot node
			lc->right = p;
			p = lc;
			}

			void Tree::SingleRotateLeft (TreeNode* &p)
			{
			// the right subtree of p is heavy
			TreeNode *lc;

			// assign the left subtree to lc
			lc = p->Right();

			// update the balance factor for parent and left child
			p->balanceFactor = balanced;
			lc->balanceFactor = balanced;

			// any right subtree st of lc must continue as right
			// subtree of lc. do by making it a left subtree of p
			p->right = lc->Left();

			// rotate p (larger node) into right subtree of lc
			// make lc the pivot node
			lc->left = p;
			p = lc;
			}

			// double rotation right about node p
			void Tree::DoubleRotateRight (TreeNode* &p)
			{
			// two subtrees that are rotated
			TreeNode lc, np;

			// in the tree, node(lc) <= node(np) < node(p)
			lc = p->Left(); // lc is left child of parent
			np = lc->Right(); // np is right child of lc

			// update balance factors for p, lc, and np
			if (np->balanceFactor == rightheavy)
			{
			p->balanceFactor = balanced;
			lc->balanceFactor = rightheavy;
			}
			else if (np->balanceFactor == balanced)
			{
			p->balanceFactor = balanced;
			lc->balanceFactor = balanced;
			}
			else
			{
			p->balanceFactor = rightheavy;
			lc->balanceFactor = balanced;
			}
			np->balanceFactor = balanced;

			// before np replaces the parent p, take care of subtrees
			// detach old children and attach new children
			lc->right = np->Left();
			np->left = lc;
			p->left = np->Right();
			np->right = p;
			p = np;
			}

			void Tree::DoubleRotateLeft (TreeNode* &p)
			{
			// two subtrees that are rotated
			TreeNode lc, np;

			// in the tree, node(lc) <= node(np) < node(p)
			lc = p->Right(); // lc is right child of parent
			np = lc->Left(); // np is left child of lc

			// update balance factors for p, lc, and np
			if (np->balanceFactor == leftheavy)
			{
			p->balanceFactor = balanced;
			lc->balanceFactor = leftheavy;
			}
			else if (np->balanceFactor == balanced)
			{
			p->balanceFactor = balanced;
			lc->balanceFactor = balanced;
			}
			else
			{
			p->balanceFactor = leftheavy;
			lc->balanceFactor = balanced;
			}
			np->balanceFactor = balanced;

			// before np replaces the parent p, take care of subtrees
			// detach old children and attach new children
			lc->left = np->Right();
			np->right = lc;
			p->right = np->Left();
			np->left = p;
			p = np;
			}

			// if item is in the tree, delete it
			void Tree::Delete(const int& item)
			{
			// DNodePtr = pointer to node D that is deleted
			// PNodePtr = pointer to parent P of node D
			// RNodePtr = pointer to node R that replaces D
			TreeNode DNodePtr, PNodePtr, *RNodePtr;

			// search for a node containing data value item. obtain its
			// node adress and that of its parent
			if ((DNodePtr = FindNode (item, PNodePtr)) == NULL)
			return;

			// If D has NULL pointer, the
			// replacement node is the one on the other branch
			if (DNodePtr->right == NULL)
			RNodePtr = DNodePtr->left;
			else if (DNodePtr->left == NULL)
			RNodePtr = DNodePtr->right;
			// Both pointers of DNodePtr are non-NULL
			else
			{
			// Find and unlink replacement node for D
			// Starting on the left branch of node D,
			// find node whose data value is the largest of all
			// nodes whose values are less than the value in D
			// Unlink the node from the tree

			// PofRNodePtr = pointer to parent of replacement node
			TreeNode *PofRNodePtr = DNodePtr;

			// frist possible replacement is left child D
			RNodePtr = DNodePtr->left;

			// descend down right subtree of the left child of D
			// keeping a record of current node and its parent.
			// when we stop, we have found the replacement
			while (RNodePtr->right != NULL)
			{
			PofRNodePtr = RNodePtr;
			RNodePtr = RNodePtr;
			}

			if (PofRNodePtr == DNodePtr)
			// left child of deleted node is the replacement
			// assign right subtree of D to R
			RNodePtr->right = DNodePtr->right;
			else
			{
			// we moved at least one node down a right brance
			// delete replacement node from tree by assigning
			// its left branc to its parent
			PofRNodePtr->right = RNodePtr->left;

			// put replacement node in place of DNodePtr.
			RNodePtr->left = DNodePtr->left;
			RNodePtr->right = DNodePtr->right;
			}
			}

			// complete the link to the parent node
			// deleting the root node. assign new root
			if (PNodePtr == NULL)
			root = RNodePtr;
			// attach R to the correct branch of P
			else if (DNodePtr->data < PNodePtr->data)
			PNodePtr->left = RNodePtr;
			else
			PNodePtr->right = RNodePtr;

			// delete the node from memory and decrement list size
			FreeTreeNode(DNodePtr); // this says FirstTreeNode in the book, should be a typo
			size--;
			}





			// if current node is defined and its data value matches item,
			// assign node value to item; otherwise, insert item in tree
			void Tree::Update(const int& item)
			{
			if (current !=NULL && current->data == item)
			current->data = item;
			else
			Insert(item, item);
			}

			// create duplicate of tree t; return the new root
			TreeNode Tree::CopyTree(TreeNode t)
			{
			// variable newnode points at each new node that is
			// created by a call to GetTreeNode and later attached to
			// the new tree. newlptr and newrptr point to the child of
			// newnode and are passed as parameters to GetTreeNode
			TreeNode newlptr, newrptr, *newnode;

			// stop the recursive scan when we arrive at an empty tree
			if (t == NULL)
			return NULL;

			// CopyTree builds a new tree by scanning the nodes of t.
			// At each node in t, CopyTree checks for a left child. if
			// present it makes a copy of left child or returns NULL.
			// the algorithm similarly checks for a right child.
			// CopyTree builds a copy of node using GetTreeNode and
			// appends copy of left and right children to node.

			if (t->Left() !=NULL)
			newlptr = CopyTree(t->Left());
			else
			newlptr = NULL;

			if (t->Right() !=NULL)
			newrptr = CopyTree(t->Right());
			else
			newrptr = NULL;


			// Build new tree from the bottom up by building the two
			// children and then building the parent
			newnode = GetTreeNode(t->data, newlptr, newrptr);

			// return a pointer to the newly created node
			return newnode;
			}


			// us the postorder scanning algorithm to traverse the nodes in
			// the tree and delete each node as the vist operation
			void Tree::DeleteTree(TreeNode *t)
			{
			if (t != NULL)
			{
			DeleteTree(t->Left());
			DeleteTree(t->Right());
			if (t->GetAuxData() != NULL)
			delete (TreeNode *) t->GetAuxData();
			FreeTreeNode(t);
			}
			}

			// call the function DeleteTree to deallocate the nodes. then
			// set the root pointer back to NULL
			void Tree::ClearTree(TreeNode * &t)
			{
			DeleteTree(t);
			t = NULL; // root now NULL
			}

			// delete all nodes in list
			void Tree::ClearList(void)
			{
			delete root;
			delete current;
			size = 0;
			}

			#endif

lammps/lib/poems/poemstree.hb7b1257b0146master

poemstree.hView Options

lammps/lib/poems/poemstree.h
b7b1257b0146master

poemstree.h
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