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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 */