📄 rbtree.h
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/* $Id: rbtree.h 974 2007-02-19 01:13:53Z bennylp $ *//* * Copyright (C)2003-2007 Benny Prijono <benny@prijono.org> * * 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 */#ifndef __PJ_RBTREE_H__#define __PJ_RBTREE_H__/** * @file rbtree.h * @brief Red/Black Tree */#include <pj/types.h>PJ_BEGIN_DECL/** * @defgroup PJ_RBTREE Red/Black Balanced Tree * @ingroup PJ_DS * @brief * Red/Black tree is the variant of balanced tree, where the search, insert, * and delete operation is \b guaranteed to take at most \a O( lg(n) ). * @{ *//** * Color type for Red-Black tree. */ typedef enum pj_rbcolor_t{ PJ_RBCOLOR_BLACK, PJ_RBCOLOR_RED} pj_rbcolor_t;/** * The type of the node of the R/B Tree. */typedef struct pj_rbtree_node { /** Pointers to the node's parent, and left and right siblings. */ struct pj_rbtree_node *parent, *left, *right; /** Key associated with the node. */ const void *key; /** User data associated with the node. */ void *user_data; /** The R/B Tree node color. */ pj_rbcolor_t color;} pj_rbtree_node;/** * The type of function use to compare key value of tree node. * @return * 0 if the keys are equal * <0 if key1 is lower than key2 * >0 if key1 is greater than key2. */typedef int pj_rbtree_comp(const void *key1, const void *key2);/** * Declaration of a red-black tree. All elements in the tree must have UNIQUE * key. * A red black tree always maintains the balance of the tree, so that the * tree height will not be greater than lg(N). Insert, search, and delete * operation will take lg(N) on the worst case. But for insert and delete, * there is additional time needed to maintain the balance of the tree. */typedef struct pj_rbtree{ pj_rbtree_node null_node; /**< Constant to indicate NULL node. */ pj_rbtree_node *null; /**< Constant to indicate NULL node. */ pj_rbtree_node *root; /**< Root tree node. */ unsigned size; /**< Number of elements in the tree. */ pj_rbtree_comp *comp; /**< Key comparison function. */} pj_rbtree;/** * Guidance on how much memory required for each of the node. */#define PJ_RBTREE_NODE_SIZE (sizeof(pj_rbtree_node))/** * Guidance on memory required for the tree. */#define PJ_RBTREE_SIZE (sizeof(pj_rbtree))/** * Initialize the tree. * @param tree the tree to be initialized. * @param comp key comparison function to be used for this tree. */PJ_DECL(void) pj_rbtree_init( pj_rbtree *tree, pj_rbtree_comp *comp);/** * Get the first element in the tree. * The first element always has the least value for the key, according to * the comparison function. * @param tree the tree. * @return the tree node, or NULL if the tree has no element. */PJ_DECL(pj_rbtree_node*) pj_rbtree_first( pj_rbtree *tree );/** * Get the last element in the tree. * The last element always has the greatest key value, according to the * comparison function defined for the tree. * @param tree the tree. * @return the tree node, or NULL if the tree has no element. */PJ_DECL(pj_rbtree_node*) pj_rbtree_last( pj_rbtree *tree );/** * Get the successive element for the specified node. * The successive element is an element with greater key value. * @param tree the tree. * @param node the node. * @return the successive node, or NULL if the node has no successor. */PJ_DECL(pj_rbtree_node*) pj_rbtree_next( pj_rbtree *tree, pj_rbtree_node *node );/** * The the previous node for the specified node. * The previous node is an element with less key value. * @param tree the tree. * @param node the node. * @return the previous node, or NULL if the node has no previous node. */PJ_DECL(pj_rbtree_node*) pj_rbtree_prev( pj_rbtree *tree, pj_rbtree_node *node );/** * Insert a new node. * The node will be inserted at sorted location. The key of the node must * be UNIQUE, i.e. it hasn't existed in the tree. * @param tree the tree. * @param node the node to be inserted. * @return zero on success, or -1 if the key already exist. */PJ_DECL(int) pj_rbtree_insert( pj_rbtree *tree, pj_rbtree_node *node );/** * Find a node which has the specified key. * @param tree the tree. * @param key the key to search. * @return the tree node with the specified key, or NULL if the key can not * be found. */PJ_DECL(pj_rbtree_node*) pj_rbtree_find( pj_rbtree *tree, const void *key );/** * Erase a node from the tree. * @param tree the tree. * @param node the node to be erased. * @return the tree node itself. */PJ_DECL(pj_rbtree_node*) pj_rbtree_erase( pj_rbtree *tree, pj_rbtree_node *node );/** * Get the maximum tree height from the specified node. * @param tree the tree. * @param node the node, or NULL to get the root of the tree. * @return the maximum height, which should be at most lg(N) */PJ_DECL(unsigned) pj_rbtree_max_height( pj_rbtree *tree, pj_rbtree_node *node );/** * Get the minumum tree height from the specified node. * @param tree the tree. * @param node the node, or NULL to get the root of the tree. * @return the height */PJ_DECL(unsigned) pj_rbtree_min_height( pj_rbtree *tree, pj_rbtree_node *node );/** * @} */PJ_END_DECL#endif /* __PJ_RBTREE_H__ */
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