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-#ifndef ubi_AVLtree_H
-#define ubi_AVLtree_H
-/* ========================================================================== **
- * ubi_AVLtree.h
- *
- * Copyright (C) 1991-1997 by Christopher R. Hertel
- *
- * Email: crh@ubiqx.mn.org
- * -------------------------------------------------------------------------- **
- *
- * This module provides an implementation of AVL height balanced binary
- * trees. (Adelson-Velskii, Landis 1962)
- *
- * This header file contains the basic AVL structure and pointer typedefs
- * as well as the prototypes needed to access the functions in the AVL
- * module ubi_AVLtree. The .c file implements the low-level height balancing
- * routines that manage the AVL tree, plus all of the basic primops for
- * adding, searching for, and deleting nodes.
- *
- * -------------------------------------------------------------------------- **
- *
- * This library is free software; you can redistribute it and/or
- * modify it under the terms of the GNU Library General Public
- * License as published by the Free Software Foundation; either
- * version 2 of the License, or (at your option) any later version.
- *
- * This library 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
- * Library General Public License for more details.
- *
- * You should have received a copy of the GNU Library General Public
- * License along with this library; if not, write to the Free
- * Software Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA.
- *
- * -------------------------------------------------------------------------- **
- * $Log: ubi_AVLtree.h,v $
- * Revision 1.1 1997/10/10 14:46:37 crh
- * This is the ubiqx binary tree and linked list library.
- * This library is being included as part of the Samba distribution.
- * (Hurray!)
- *
- * Revision 2.4 1997/07/26 04:36:23 crh
- * Andrew Leppard, aka "Grazgur", discovered that I still had my brains tied
- * on backwards with respect to node deletion. I did some more digging and
- * discovered that I was not changing the balance values correctly in the
- * single rotation functions. Double rotation was working correctly because
- * the formula for changing the balance values is the same for insertion or
- * deletion. Not so for single rotation.
- *
- * I have tested the fix by loading the tree with over 44 thousand names,
- * deleting 2,629 of them (all those in which the second character is 'u')
- * and then walking the tree recursively to verify that the balance factor of
- * each node is correct. Passed.
- *
- * Thanks Andrew!
- *
- * Also:
- * + Changed ubi_TRUE and ubi_FALSE to ubi_trTRUE and ubi_trFALSE.
- * + Rewrote the ubi_tr<func> macros because they weren't doing what I'd
- * hoped they would do (see the bottom of the header file). They work now.
- *
- * Revision 2.3 1997/06/03 05:22:07 crh
- * Changed TRUE and FALSE to ubi_TRUE and ubi_FALSE to avoid causing
- * problems.
- *
- * Revision 2.2 1995/10/03 22:15:47 CRH
- * Ubisized!
- *
- * Revision 2.1 95/03/09 23:46:44 CRH
- * Added the ModuleID static string and function. These modules are now
- * self-identifying.
- *
- * Revision 2.0 95/03/05 14:11:22 CRH
- * This revision of ubi_AVLtree coincides with revision 2.0 of ubi_BinTree,
- * and so includes all of the changes to that module. In addition, a bug in
- * the node deletion process has been fixed.
- *
- * After rewriting the Locate() function in ubi_BinTree, I decided that it was
- * time to overhaul this module. In the process, I discovered a bug related
- * to node deletion. To fix the bug, I wrote function Debalance(). A quick
- * glance will show that it is very similar to the Rebalance() function. In
- * previous versions of this module, I tried to include the functionality of
- * Debalance() within Rebalance(), with poor results.
- *
- * Revision 1.0 93/10/15 22:58:48 CRH
- * With this revision, I have added a set of #define's that provide a single,
- * standard API to all existing tree modules. Until now, each of the three
- * existing modules had a different function and typedef prefix, as follows:
- *
- * Module Prefix
- * ubi_BinTree ubi_bt
- * ubi_AVLtree ubi_avl
- * ubi_SplayTree ubi_spt
- *
- * To further complicate matters, only those portions of the base module
- * (ubi_BinTree) that were superceeded in the new module had the new names.
- * For example, if you were using ubi_AVLtree, the AVL node structure was
- * named "ubi_avlNode", but the root structure was still "ubi_btRoot". Using
- * SplayTree, the locate function was called "ubi_sptLocate", but the next
- * and previous functions remained "ubi_btNext" and "ubi_btPrev".
- *
- * This was not too terrible if you were familiar with the modules and knew
- * exactly which tree model you wanted to use. If you wanted to be able to
- * change modules (for speed comparisons, etc), things could get messy very
- * quickly.
- *
- * So, I have added a set of defined names that get redefined in any of the
- * descendant modules. To use this standardized interface in your code,
- * simply replace all occurances of "ubi_bt", "ubi_avl", and "ubi_spt" with
- * "ubi_tr". The "ubi_tr" names will resolve to the correct function or
- * datatype names for the module that you are using. Just remember to
- * include the header for that module in your program file. Because these
- * names are handled by the preprocessor, there is no added run-time
- * overhead.
- *
- * Note that the original names do still exist, and can be used if you wish
- * to write code directly to a specific module. This should probably only be
- * done if you are planning to implement a new descendant type, such as
- * red/black trees. CRH
- *
- * V0.0 - May, 1990 - Written by Christopher R. Hertel (CRH).
- *
- * ========================================================================= **
- */
-
-#include "ubi_BinTree.h" /* Base erg binary tree support. */
-
-/* ------------------------------------------------------------------------- **
- * AVL Tree Node Structure: This structure defines the basic elements of
- * the AVL tree nodes. In general you *SHOULD NOT PLAY WITH THESE
- * FIELDS*! But, of course, I have to put the structure into this
- * header so that you can use the structure as a building block.
- *
- * The fields are as follows:
- * Link - An array of pointers. These pointers are manipulated by the
- * BT and AVL routines, and indicate the left and right child
- * nodes, plus the parent node. By keeping track of the parent
- * pointer, we avoid the need for recursive routines or hand-
- * tooled stacks to keep track of our path back to the root.
- * The use of these pointers is subject to change without
- * notice.
- * gender - For tree rebalancing purposes, it is necessary that each node
- * know whether it is the left or right child of its parent, or
- * if it is the root. This information is stored in this field.
- * balance - This field is also needed for AVL balancing purposes. It
- * indicates which subtree of the current node is longer, or if
- * the subtrees are, in fact, balanced with respect to each
- * other.
- * ------------------------------------------------------------------------- **
- */
-
-typedef struct ubi_avlNodeStruct {
- struct ubi_avlNodeStruct
- *Link[3]; /* Normal Binary Tree Node type. */
- char gender; /* The node is either the RIGHT or LEFT child of its */
- /* parent, or is the root node. */
- char balance; /* In an AVL tree, each node is the root of a subtree */
- /* that may be balanced, or be one node longer to the */
- /* right or left. This field keeps track of the */
- /* balance value of each node. */
- } ubi_avlNode; /* Typedef'd name for an avl tree node. */
-
-typedef ubi_avlNode *ubi_avlNodePtr; /* a Pointer to an AVL node */
-
-/* -------------------------------------------------------------------------- **
- * Function prototypes.
- * -------------------------------------------------------------------------- **
- */
-
-ubi_avlNodePtr ubi_avlInitNode( ubi_avlNodePtr NodePtr );
- /* ------------------------------------------------------------------------ **
- * Initialize a tree node.
- *
- * Input: NodePtr - a pointer to a ubi_btNode structure to be
- * initialized.
- * Output: a pointer to the initialized ubi_avlNode structure (ie. the
- * same as the input pointer).
- * ------------------------------------------------------------------------ **
- */
-
-ubi_trBool ubi_avlInsert( ubi_btRootPtr RootPtr,
- ubi_avlNodePtr NewNode,
- ubi_btItemPtr ItemPtr,
- ubi_avlNodePtr *OldNode );
- /* ------------------------------------------------------------------------ **
- * This function uses a non-recursive algorithm to add a new element to
- * the tree.
- *
- * Input: RootPtr - a pointer to the ubi_btRoot structure that indicates
- * the root of the tree to which NewNode is to be added.
- * NewNode - a pointer to an ubi_avlNode structure that is NOT
- * part of any tree.
- * ItemPtr - A pointer to the sort key that is stored within
- * *NewNode. ItemPtr MUST point to information stored
- * in *NewNode or an EXACT DUPLICATE. The key data
- * indicated by ItemPtr is used to place the new node
- * into the tree.
- * OldNode - a pointer to an ubi_btNodePtr. When searching
- * the tree, a duplicate node may be found. If
- * duplicates are allowed, then the new node will
- * be simply placed into the tree. If duplicates
- * are not allowed, however, then one of two things
- * may happen.
- * 1) if overwritting *is not* allowed, this
- * function will return FALSE (indicating that
- * the new node could not be inserted), and
- * *OldNode will point to the duplicate that is
- * still in the tree.
- * 2) if overwritting *is* allowed, then this
- * function will swap **OldNode for *NewNode.
- * In this case, *OldNode will point to the node
- * that was removed (thus allowing you to free
- * the node).
- * ** If you are using overwrite mode, ALWAYS **
- * ** check the return value of this parameter! **
- * Note: You may pass NULL in this parameter, the
- * function knows how to cope. If you do this,
- * however, there will be no way to return a
- * pointer to an old (ie. replaced) node (which is
- * a problem if you are using overwrite mode).
- *
- * Output: a boolean value indicating success or failure. The function
- * will return FALSE if the node could not be added to the tree.
- * Such failure will only occur if duplicates are not allowed,
- * nodes cannot be overwritten, AND a duplicate key was found
- * within the tree.
- * ------------------------------------------------------------------------ **
- */
-
-ubi_avlNodePtr ubi_avlRemove( ubi_btRootPtr RootPtr,
- ubi_avlNodePtr DeadNode );
- /* ------------------------------------------------------------------------ **
- * This function removes the indicated node from the tree, after which the
- * tree is rebalanced.
- *
- * Input: RootPtr - A pointer to the header of the tree that contains
- * the node to be removed.
- * DeadNode - A pointer to the node that will be removed.
- *
- * Output: This function returns a pointer to the node that was removed
- * from the tree (ie. the same as DeadNode).
- *
- * Note: The node MUST be in the tree indicated by RootPtr. If not,
- * strange and evil things will happen to your trees.
- * ------------------------------------------------------------------------ **
- */
-
-int ubi_avlModuleID( int size, char *list[] );
- /* ------------------------------------------------------------------------ **
- * Returns a set of strings that identify the module.
- *
- * Input: size - The number of elements in the array <list>.
- * list - An array of pointers of type (char *). This array
- * should, initially, be empty. This function will fill
- * in the array with pointers to strings.
- * Output: The number of elements of <list> that were used. If this value
- * is less than <size>, the values of the remaining elements are
- * not guaranteed.
- *
- * Notes: Please keep in mind that the pointers returned indicate strings
- * stored in static memory. Don't free() them, don't write over
- * them, etc. Just read them.
- * ------------------------------------------------------------------------ **
- */
-
-/* -------------------------------------------------------------------------- **
- * Masquarade...
- *
- * This set of defines allows you to write programs that will use any of the
- * implemented binary tree modules (currently BinTree, AVLtree, and SplayTree).
- * Instead of using ubi_avl... or ubi_bt, use ubi_tr... and select the tree
- * type by including the appropriate module header.
- */
-
-#undef ubi_trNode
-#undef ubi_trNodePtr
-#define ubi_trNode ubi_avlNode
-#define ubi_trNodePtr ubi_avlNodePtr
-
-#undef ubi_trInitNode
-#define ubi_trInitNode( Np ) ubi_avlInitNode( (ubi_avlNodePtr)(Np) )
-
-#undef ubi_trInsert
-#define ubi_trInsert( Rp, Nn, Ip, On ) \
- ubi_avlInsert( (ubi_btRootPtr)(Rp), (ubi_avlNodePtr)(Nn), \
- (ubi_btItemPtr)(Ip), (ubi_avlNodePtr *)(On) )
-
-#undef ubi_trRemove
-#define ubi_trRemove( Rp, Dn ) \
- ubi_avlRemove( (ubi_btRootPtr)(Rp), (ubi_avlNodePtr)(Dn) )
-
-#undef ubi_trLocate
-#define ubi_trLocate( Rp, Ip, Op ) \
- (ubi_avlNodePtr)ubi_btLocate( (ubi_btRootPtr)(Rp), \
- (ubi_btItemPtr)(Ip), \
- (ubi_trCompOps)(Op) )
-
-#undef ubi_trFind
-#define ubi_trFind( Rp, Ip ) \
- (ubi_avlNodePtr)ubi_btFind( (ubi_btRootPtr)(Rp), (ubi_btItemPtr)(Ip) )
-
-#undef ubi_trNext
-#define ubi_trNext( P ) (ubi_avlNodePtr)ubi_btNext( (ubi_btNodePtr)(P) )
-
-#undef ubi_trPrev
-#define ubi_trPrev( P ) (ubi_avlNodePtr)ubi_btPrev( (ubi_btNodePtr)(P) )
-
-#undef ubi_trFirst
-#define ubi_trFirst( P ) (ubi_avlNodePtr)ubi_btFirst( (ubi_btNodePtr)(P) )
-
-#undef ubi_trLast
-#define ubi_trLast( P ) (ubi_avlNodePtr)ubi_btLast( (ubi_btNodePtr)(P) )
-
-#undef ubi_trFirstOf
-#define ubi_trFirstOf( Rp, Ip, P ) \
- (ubi_avlNodePtr)ubi_btFirstOf( (ubi_btRootPtr)(Rp), \
- (ubi_btItemPtr)(Ip), \
- (ubi_btNodePtr)(P) )
-
-#undef ubi_trLastOf
-#define ubi_trLastOf( Rp, Ip, P ) \
- (ubi_avlNodePtr)ubi_btLastOf( (ubi_btRootPtr)(Rp), \
- (ubi_btItemPtr)(Ip), \
- (ubi_btNodePtr)(P) )
-
-#undef ubi_trLeafNode
-#define ubi_trLeafNode( Nd ) \
- (ubi_avlNodePtr)ubi_btLeafNode( (ubi_btNodePtr)(Nd) )
-
-#undef ubi_trModuleID
-#define ubi_trModuleID( s, l ) ubi_avlModuleID( s, l )
-
-
-/* =========================== End ubi_AVLtree.h =========================== */
-#endif /* ubi_AVLtree_H */