File: hrg_rbtree.h

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/* -*- mode: C++ -*-  */
/* 
   IGraph library.
   Copyright (C) 2011-2012  Gabor Csardi <csardi.gabor@gmail.com>
   334 Harvard street, Cambridge, MA 02139 USA
   
   This program is free software; you can redistribute it and/or modify
   it under the terms of the GNU General Public License as published by
   the Free Software Foundation; either version 2 of the License, or
   (at your option) any later version.
   
   This program is distributed in the hope that it will be useful,
   but WITHOUT ANY WARRANTY; without even the implied warranty of
   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
   GNU General Public License for more details.
   
   You should have received a copy of the GNU General Public License
   along with this program; if not, write to the Free Software
   Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 
   02110-1301 USA

*/

// ****************************************************************************************************
// *** COPYRIGHT NOTICE *******************************************************************************
// rbtree - red-black tree (self-balancing binary tree data structure)
// Copyright (C) 2004 Aaron Clauset
//
// This program is free software; you can redistribute it and/or modify
// it under the terms of the GNU General Public License as published by
// the Free Software Foundation; either version 2 of the License, or
// (at your option) any later version.
//
// This program is distributed in the hope that it will be useful,
// but WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
// GNU General Public License for more details.
//
// You should have received a copy of the GNU General Public License
// along with this program; if not, write to the Free Software
// Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA
// 
// See http://www.gnu.org/licenses/gpl.txt for more details.
// 
// ****************************************************************************************************
// Author       : Aaron Clauset  ( aaronc@santafe.edu | http://www.santafe.edu/~aaronc/ )
// Collaborators: Cristopher Moore and Mark Newman
// Project      : Hierarchical Random Graphs
// Location     : University of New Mexico, Dept. of Computer Science AND Santa Fe Institute
// Created      : Spring 2004
// Modified     : many, many times
//
// ****************************************************************************************************

#ifndef IGRAPH_HRG_RBTREE
#define IGRAPH_HRG_RBTREE

#include <iostream>

using namespace std;

namespace fitHRG {

// ******** Basic Structures *********************************************

#ifndef IGRAPH_HRG_LIST
#define IGRAPH_HRG_LIST

class list {
public:
  int x;			// stored elementd in linked-list
  list*	next;			// pointer to next elementd
  list(): x(-1), next(0) { }
  ~list() { }
};
#endif

class keyValuePair {
public:
  int x;			// elementrb key (int)
  int y;			// stored value (int)
  keyValuePair*	next;		// linked-list pointer
  keyValuePair(): x(-1), y(-1), next(0) { }
  ~keyValuePair() { }
};

// ******** Tree elementrb Class *****************************************

class elementrb {
public:
  int key;			// search key (int)
  int value;			// stored value (int)
 
  bool color;			// F: BLACK, T: RED
  short int mark;		// marker
 
  elementrb *parent;		// pointer to parent node
  elementrb *left;		// pointer for left subtree
  elementrb *right;		// pointer for right subtree
 
  elementrb(): key(-1), value(-1), color(false), mark(0), parent(0),
	       left(0), right(0) { }
  ~elementrb() { }
};

// ******** Red-Black Tree Class *****************************************
// This vector implementation is a red-black balanced binary tree data
// structure. It provides find a stored elementrb in time O(log n),
// find the maximum elementrb in time O(1), delete an elementrb in
// time O(log n), and insert an elementrb in time O(log n). 
//
// Note that the key=0 is assumed to be a special value, and thus you
// cannot insert such an item. Beware of this limitation.

class rbtree {
private:
  elementrb* root;		// binary tree root
  elementrb* leaf;		// all leaf nodes
  int support;			// number of nodes in the tree

  void rotateLeft(elementrb *x);    // left-rotation operator
  void rotateRight(elementrb *y);   // right-rotation operator
  void insertCleanup(elementrb *z); // house-keeping after insertion
  void deleteCleanup(elementrb *x); // house-keeping after deletion
  keyValuePair* returnSubtreeAsList(elementrb *z, keyValuePair *head);
  void deleteSubTree(elementrb *z); // delete subtree rooted at z
  elementrb* returnMinKey(elementrb *z); // returns minimum of subtree
					 // rooted at z 
  elementrb* returnSuccessor(elementrb *z); // returns successor of z's key
 
public:
  rbtree(); ~rbtree(); // default constructor/destructor

  // returns value associated with searchKey
  int returnValue(const int searchKey); 
  // returns T if searchKey found, and points foundNode at the
  // corresponding node 
  elementrb* findItem(const int searchKey); 
  // insert a new key with stored value
  void insertItem(int newKey, int newValue);
  // selete a node with given key
  void deleteItem(int killKey);
  // replace value of a node with given key
  void replaceItem(int key, int newValue);
  // increment the value of the given key
  void incrementValue(int key);
  // delete the entire tree
  void deleteTree();
  // return array of keys in tree
  int* returnArrayOfKeys();
  // return list of keys in tree
  list* returnListOfKeys();
  // return the tree as a list of keyValuePairs
  keyValuePair* returnTreeAsList();
  // returns the maximum key in the tree
  keyValuePair returnMaxKey();
  // returns the minimum key in the tree
  keyValuePair returnMinKey();
  // returns number of items in tree
  int returnNodecount();
};

}
#endif