This is the ubiqx binary tree and linked list library.

This library is being included as part of the Samba distribution.
(Hurray!)
(This used to be commit 3590a783338defa4ff1385b2d5bb095c5051ac82)

1 files changed, 741 insertions, 0 deletions

diff --git a/source3/ubiqx/ubi_BinTree.h b/source3/ubiqx/ubi_BinTree.h
new file mode 100644
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--- /dev/null
+++ b/source3/ubiqx/ubi_BinTree.h
@@ -0,0 +1,741 @@
+#ifndef ubi_BinTree_H
+#define ubi_BinTree_H
+/* ========================================================================== **
+ *                              ubi_BinTree.h
+ *
+ *  Copyright (C) 1991-1997 by Christopher R. Hertel
+ *
+ *  Email:  crh@ubiqx.mn.org
+ * -------------------------------------------------------------------------- **
+ *
+ *  ubi_BinTree manages a simple binary tree.  Nothing fancy here.  No height
+ *  balancing, no restructuring.  Still, a good tool for creating short, low-
+ *  overhead sorted lists of things that need to be found in a hurry.
+ *
+ *  In addition, this module provides a good basis for creating other types
+ *  of binary tree handling modules.
+ *
+ * -------------------------------------------------------------------------- **
+ *
+ *  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_BinTree.h,v $
+ * Revision 1.1  1997/10/10 14:46:39  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 04:11:14  crh
+ * + Just to be annoying I changed ubi_TRUE and ubi_FALSE to ubi_trTRUE
+ *   and ubi_trFALSE.
+ * + There is now a type ubi_trBool to go with ubi_trTRUE and ubi_trFALSE.
+ * + There used to be something called "ubi_TypeDefs.h".  I got rid of it.
+ * + Added function ubi_btLeafNode().
+ *
+ * Revision 2.3  1997/06/03 05:15:27  crh
+ * Changed TRUE and FALSE to ubi_TRUE and ubi_FALSE to avoid conflicts.
+ * Also changed the interface to function InitTree().  See the comments
+ * for this function for more information.
+ *
+ * Revision 2.2  1995/10/03 22:00:40  CRH
+ * Ubisized!
+ * 
+ * Revision 2.1  95/03/09  23:43:46  CRH
+ * Added the ModuleID static string and function.  These modules are now
+ * self-identifying.
+ * 
+ * Revision 2.0  95/02/27  22:00:33  CRH
+ * Revision 2.0 of this program includes the following changes:
+ *
+ *     1)  A fix to a major typo in the RepaceNode() function.
+ *     2)  The addition of the static function Border().
+ *     3)  The addition of the public functions FirstOf() and LastOf(), which
+ *         use Border(). These functions are used with trees that allow
+ *         duplicate keys.
+ *     4)  A complete rewrite of the Locate() function.  Locate() now accepts
+ *         a "comparison" operator.
+ *     5)  Overall enhancements to both code and comments.
+ *
+ * I decided to give this a new major rev number because the interface has
+ * changed.  In particular, there are two new functions, and changes to the
+ * Locate() function.
+ *
+ * Revision 1.0  93/10/15  22:55:04  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 - June, 1991   -  Written by Christopher R. Hertel (CRH).
+ *
+ * ========================================================================== **
+ */
+
+/* -------------------------------------------------------------------------- **
+ * Macros and constants.
+ *
+ *  General purpose:
+ *    ubi_trTRUE  - Boolean TRUE.
+ *    ubi_trFALSE - Boolean FALSE.
+ *
+ *  Flags used in the tree header:
+ *    ubi_trOVERWRITE   - This flag indicates that an existing node may be
+ *                        overwritten by a new node with a matching key.
+ *    ubi_trDUPKEY      - This flag indicates that the tree allows duplicate
+ *                        keys.  If the tree does allow duplicates, the
+ *                        overwrite flag is ignored.
+ *
+ *  Node link array index constants:  (Each node has an array of three
+ *  pointers.  One to the left, one to the right, and one back to the
+ *  parent.)
+ *    LEFT    - Left child pointer.
+ *    PARENT  - Parent pointer.
+ *    RIGHT   - Right child pointer.
+ *    EQUAL   - Synonym for PARENT.
+ *
+ *  ubi_trCompOps:  These values are used in the ubi_trLocate() function.
+ *    ubi_trLT  - request the first instance of the greatest key less than
+ *                the search key.
+ *    ubi_trLE  - request the first instance of the greatest key that is less
+ *                than or equal to the search key.
+ *    ubi_trEQ  - request the first instance of key that is equal to the
+ *                search key.
+ *    ubi_trGE  - request the first instance of a key that is greater than
+ *                or equal to the search key.
+ *    ubi_trGT  - request the first instance of the first key that is greater
+ *                than the search key.
+ * -------------------------------------------------------------------------- **
+ */
+
+#define ubi_trTRUE  0xFF
+#define ubi_trFALSE 0x00
+
+#define ubi_trOVERWRITE 0x01        /* Turn on allow overwrite      */
+#define ubi_trDUPKEY    0x02        /* Turn on allow duplicate keys */
+
+/* Pointer array index constants... */
+#define LEFT   0x00
+#define PARENT 0x01
+#define RIGHT  0x02
+#define EQUAL  PARENT
+
+typedef enum {
+  ubi_trLT = 1,
+  ubi_trLE,
+  ubi_trEQ,
+  ubi_trGE,
+  ubi_trGT
+  } ubi_trCompOps;
+
+/* -------------------------------------------------------------------------- **
+ * These three macros allow simple manipulation of pointer index values (LEFT,
+ * RIGHT, and PARENT).
+ *
+ *    Normalize() -  converts {LEFT, PARENT, RIGHT} into {-1, 0 ,1}.  C
+ *                   uses {negative, zero, positive} values to indicate
+ *                   {less than, equal to, greater than}.
+ *    AbNormal()  -  converts {negative, zero, positive} to {LEFT, PARENT,
+ *                   RIGHT} (opposite of Normalize()).  Note: C comparison
+ *                   functions, such as strcmp(), return {negative, zero,
+ *                   positive} values, which are not necessarily {-1, 0,
+ *                   1}.  This macro uses the the ubi_btSgn() function to
+ *                   compensate.
+ *    RevWay()    -  converts LEFT to RIGHT and RIGHT to LEFT.  PARENT (EQUAL)
+ *                   is left as is.
+ * -------------------------------------------------------------------------- **
+ */
+#define Normalize(W) ((char)((W)-EQUAL))
+#define AbNormal(W) ((char)( EQUAL+((char)ubi_btSgn( (W) )) ))
+#define RevWay(W) ((char)((W)==LEFT?RIGHT:((W)==RIGHT?LEFT:EQUAL)))
+
+/* -------------------------------------------------------------------------- **
+ * These macros allow us to quickly read the values of the OVERWRITE and
+ * DUPlicate KEY bits of the tree root flags field.
+ * -------------------------------------------------------------------------- **
+ */
+#define Dups_OK(A) ((ubi_trDUPKEY & ((A)->flags))?(ubi_trTRUE):(ubi_trFALSE))
+#define Ovwt_OK(A) ((ubi_trOVERWRITE & ((A)->flags))?(ubi_trTRUE):(ubi_trFALSE))
+
+/* -------------------------------------------------------------------------- **
+ * Typedefs...
+ * 
+ * ubi_trBool   - Your typcial true or false...
+ *
+ * Item Pointer:  The ubi_btItemPtr is a generic pointer. It is used to
+ *                indicate a key that is being searched for within the tree.
+ *                Searching occurs whenever the ubi_trFind(), ubi_trLocate(),
+ *                or ubi_trInsert() functions are called.
+ * -------------------------------------------------------------------------- **
+ */
+
+typedef unsigned char ubi_trBool;
+
+typedef void *ubi_btItemPtr;              /* A pointer to data within a node. */
+
+/*  ------------------------------------------------------------------------- **
+ *  Binary Tree Node Structure:  This structure defines the basic elements of
+ *       the 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 it as a building block.
+ *
+ *  The fields are as follows:
+ *    Link     -  an array of pointers.  These pointers are manipulated by
+ *                the BT routines.  The pointers indicate the left and right
+ *                child nodes and 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   -  a one-byte field indicating whether the node is the RIGHT or
+ *                LEFT child of its parent.  If the node is the root of the
+ *                tree, gender will be PARENT.
+ *  ------------------------------------------------------------------------- **
+ */
+typedef struct ubi_btNodeStruct {
+  struct ubi_btNodeStruct *Link[ 3 ];
+  char                     gender;
+  } ubi_btNode;
+
+typedef ubi_btNode *ubi_btNodePtr;     /* Pointer to an ubi_btNode structure. */
+
+/*  ------------------------------------------------------------------------- **
+ * The next three typedefs define standard function types used by the binary
+ * tree management routines.  In particular:
+ *
+ *    ubi_btCompFunc    is a pointer to a comparison function.  Comparison
+ *                      functions are passed an ubi_btItemPtr and an
+ *                      ubi_btNodePtr.  They return a value that is (<0), 0,
+ *                      or (>0) to indicate that the Item is (respectively)
+ *                      "less than", "equal to", or "greater than" the Item
+ *                      contained within the node.  (See ubi_btInitTree()).
+ *    ubi_btActionRtn   is a pointer to a function that may be called for each
+ *                      node visited when performing a tree traversal (see
+ *                      ubi_btTraverse()).  The function will be passed two
+ *                      parameters: the first is a pointer to a node in the
+ *                      tree, the second is a generic pointer that may point to
+ *                      anything that you like.
+ *    ubi_btKillNodeRtn is a pointer to a function that will deallocate the
+ *                      memory used by a node (see ubi_btKillTree()).  Since
+ *                      memory management is left up to you, deallocation may
+ *                      mean anything that you want it to mean.  Just remember
+ *                      that the tree *will* be destroyed and that none of the
+ *                      node pointers will be valid any more.
+ *  ------------------------------------------------------------------------- **
+ */
+
+typedef  int (*ubi_btCompFunc)( ubi_btItemPtr, ubi_btNodePtr );
+
+typedef void (*ubi_btActionRtn)( ubi_btNodePtr, void * );
+
+typedef void (*ubi_btKillNodeRtn)( ubi_btNodePtr );
+
+/* -------------------------------------------------------------------------- **
+ * Tree Root Structure: This structure gives us a convenient handle for
+ *                      accessing whole AVL trees.  The fields are:
+ *    root  -  A pointer to the root node of the AVL tree.
+ *    count -  A count of the number of nodes stored in the tree.
+ *    cmp   -  A pointer to the comparison routine to be used when building or
+ *             searching the tree.
+ *    flags -  A set of bit flags.  Two flags are currently defined:
+ *
+ *       ubi_trOVERWRITE -  If set, this flag indicates that a new node should
+ *         (bit 0x01)       overwrite an old node if the two have identical
+ *                          keys (ie., the keys are equal).
+ *       ubi_trDUPKEY    -  If set, this flag indicates that the tree is
+ *         (bit 0x02)       allowed to contain nodes with duplicate keys.
+ *
+ *       NOTE: ubi_trInsert() tests ubi_trDUPKEY before ubi_trOVERWRITE.
+ *
+ * All of these values are set when you initialize the root structure by
+ * calling ubi_trInitTree().
+ * -------------------------------------------------------------------------- **
+ */
+
+typedef struct {
+  ubi_btNodePtr  root;     /* A pointer to the root node of the tree       */
+  unsigned long  count;    /* A count of the number of nodes in the tree   */
+  ubi_btCompFunc cmp;      /* A pointer to the tree's comparison function  */
+  unsigned char  flags;    /* Overwrite Y|N, Duplicate keys Y|N...         */
+  } ubi_btRoot;
+
+typedef ubi_btRoot *ubi_btRootPtr;  /* Pointer to an ubi_btRoot structure. */
+
+
+/* -------------------------------------------------------------------------- **
+ * Function Prototypes.
+ */
+
+long ubi_btSgn( long x );
+  /* ------------------------------------------------------------------------ **
+   * Return the sign of x; {negative,zero,positive} ==> {-1, 0, 1}.
+   *
+   *  Input:  x - a signed long integer value.
+   *
+   *  Output: the "sign" of x, represented as follows:
+   *            -1 == negative
+   *             0 == zero (no sign)
+   *             1 == positive
+   *
+   * Note: This utility is provided in order to facilitate the conversion
+   *       of C comparison function return values into BinTree direction
+   *       values: {LEFT, PARENT, EQUAL}.  It is INCORPORATED into the
+   *       AbNormal() conversion macro!
+   *
+   * ------------------------------------------------------------------------ **
+   */
+
+ubi_btNodePtr ubi_btInitNode( ubi_btNodePtr NodePtr );
+  /* ------------------------------------------------------------------------ **
+   * Initialize a tree node.
+   *
+   *  Input:   a pointer to a ubi_btNode structure to be initialized.
+   *  Output:  a pointer to the initialized ubi_btNode structure (ie. the
+   *           same as the input pointer).
+   * ------------------------------------------------------------------------ **
+   */
+
+ubi_btRootPtr  ubi_btInitTree( ubi_btRootPtr   RootPtr,
+                               ubi_btCompFunc  CompFunc,
+                               unsigned char   Flags );
+  /* ------------------------------------------------------------------------ **
+   * Initialize the fields of a Tree Root header structure.
+   *  
+   *  Input:   RootPtr   - a pointer to an ubi_btRoot structure to be
+   *                       initialized.   
+   *           CompFunc  - a pointer to a comparison function that will be used
+   *                       whenever nodes in the tree must be compared against
+   *                       outside values.
+   *           Flags     - One bytes worth of flags.  Flags include
+   *                       ubi_trOVERWRITE and ubi_trDUPKEY.  See the header
+   *                       file for more info.
+   *
+   *  Output:  a pointer to the initialized ubi_btRoot structure (ie. the
+   *           same value as RootPtr).
+   * 
+   *  Note:    The interface to this function has changed from that of 
+   *           previous versions.  The <Flags> parameter replaces two      
+   *           boolean parameters that had the same basic effect.
+   * ------------------------------------------------------------------------ **
+   */
+
+ubi_trBool ubi_btInsert( ubi_btRootPtr  RootPtr,
+                         ubi_btNodePtr  NewNode,
+                         ubi_btItemPtr  ItemPtr,
+                         ubi_btNodePtr *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_btNode 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_btNodePtr ubi_btRemove( ubi_btRootPtr RootPtr,
+                            ubi_btNodePtr DeadNode );
+  /* ------------------------------------------------------------------------ **
+   * This function removes the indicated node from the tree.
+   *
+   *  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.
+   * ------------------------------------------------------------------------ **
+   */
+
+ubi_btNodePtr ubi_btLocate( ubi_btRootPtr RootPtr,
+                            ubi_btItemPtr FindMe,
+                            ubi_trCompOps CompOp );
+  /* ------------------------------------------------------------------------ **
+   * The purpose of ubi_btLocate() is to find a node or set of nodes given
+   * a target value and a "comparison operator".  The Locate() function is
+   * more flexible and (in the case of trees that may contain dupicate keys)
+   * more precise than the ubi_btFind() function.  The latter is faster,
+   * but it only searches for exact matches and, if the tree contains
+   * duplicates, Find() may return a pointer to any one of the duplicate-
+   * keyed records.
+   *
+   *  Input:
+   *     RootPtr  -  A pointer to the header of the tree to be searched.
+   *     FindMe   -  An ubi_btItemPtr that indicates the key for which to
+   *                 search.
+   *     CompOp   -  One of the following:
+   *                    CompOp     Return a pointer to the node with
+   *                    ------     ---------------------------------
+   *                   ubi_trLT - the last key value that is less
+   *                              than FindMe.
+   *                   ubi_trLE - the first key matching FindMe, or
+   *                              the last key that is less than
+   *                              FindMe.
+   *                   ubi_trEQ - the first key matching FindMe.
+   *                   ubi_trGE - the first key matching FindMe, or the
+   *                              first key greater than FindMe.
+   *                   ubi_trGT - the first key greater than FindMe.
+   *  Output:
+   *     A pointer to the node matching the criteria listed above under
+   *     CompOp, or NULL if no node matched the criteria.
+   *
+   *  Notes:
+   *     In the case of trees with duplicate keys, Locate() will behave as
+   *     follows:
+   *
+   *     Find:  3                       Find: 3
+   *     Keys:  1 2 2 2 3 3 3 3 3 4 4   Keys: 1 1 2 2 2 4 4 5 5 5 6
+   *                  ^ ^         ^                   ^ ^
+   *                 LT EQ        GT                 LE GE
+   *
+   *     That is, when returning a pointer to a node with a key that is LESS
+   *     THAN the target key (FindMe), Locate() will return a pointer to the
+   *     LAST matching node.
+   *     When returning a pointer to a node with a key that is GREATER
+   *     THAN the target key (FindMe), Locate() will return a pointer to the
+   *     FIRST matching node.
+   *
+   *  See Also: ubi_btFind(), ubi_btFirstOf(), ubi_btLastOf().
+   * ------------------------------------------------------------------------ **
+   */
+
+ubi_btNodePtr ubi_btFind( ubi_btRootPtr RootPtr,
+                          ubi_btItemPtr FindMe );
+  /* ------------------------------------------------------------------------ **
+   * This function performs a non-recursive search of a tree for any node
+   * matching a specific key.
+   *
+   *  Input:
+   *     RootPtr  -  a pointer to the header of the tree to be searched.
+   *     FindMe   -  a pointer to the key value for which to search.
+   *
+   *  Output:
+   *     A pointer to a node with a key that matches the key indicated by
+   *     FindMe, or NULL if no such node was found.
+   *
+   *  Note:   In a tree that allows duplicates, the pointer returned *might
+   *          not* point to the (sequentially) first occurance of the
+   *          desired key.  In such a tree, it may be more useful to use
+   *          ubi_btLocate().
+   * ------------------------------------------------------------------------ **
+   */
+
+ubi_btNodePtr ubi_btNext( ubi_btNodePtr P );
+  /* ------------------------------------------------------------------------ **
+   * Given the node indicated by P, find the (sorted order) Next node in the
+   * tree.
+   *  Input:   P  -  a pointer to a node that exists in a binary tree.
+   *  Output:  A pointer to the "next" node in the tree, or NULL if P pointed
+   *           to the "last" node in the tree or was NULL.
+   * ------------------------------------------------------------------------ **
+   */
+
+ubi_btNodePtr ubi_btPrev( ubi_btNodePtr P );
+  /* ------------------------------------------------------------------------ **
+   * Given the node indicated by P, find the (sorted order) Previous node in
+   * the tree.
+   *  Input:   P  -  a pointer to a node that exists in a binary tree.
+   *  Output:  A pointer to the "previous" node in the tree, or NULL if P
+   *           pointed to the "first" node in the tree or was NULL.
+   * ------------------------------------------------------------------------ **
+   */
+
+ubi_btNodePtr ubi_btFirst( ubi_btNodePtr P );
+  /* ------------------------------------------------------------------------ **
+   * Given the node indicated by P, find the (sorted order) First node in the
+   * subtree of which *P is the root.
+   *  Input:   P  -  a pointer to a node that exists in a binary tree.
+   *  Output:  A pointer to the "first" node in a subtree that has *P as its
+   *           root.  This function will return NULL only if P is NULL.
+   *  Note:    In general, you will be passing in the value of the root field
+   *           of an ubi_btRoot structure.
+   * ------------------------------------------------------------------------ **
+   */
+
+ubi_btNodePtr ubi_btLast( ubi_btNodePtr P );
+  /* ------------------------------------------------------------------------ **
+   * Given the node indicated by P, find the (sorted order) Last node in the
+   * subtree of which *P is the root.
+   *  Input:   P  -  a pointer to a node that exists in a binary tree.
+   *  Output:  A pointer to the "last" node in a subtree that has *P as its
+   *           root.  This function will return NULL only if P is NULL.
+   *  Note:    In general, you will be passing in the value of the root field
+   *           of an ubi_btRoot structure.
+   * ------------------------------------------------------------------------ **
+   */
+
+ubi_btNodePtr ubi_btFirstOf( ubi_btRootPtr RootPtr,
+                             ubi_btItemPtr MatchMe,
+                             ubi_btNodePtr p );
+  /* ------------------------------------------------------------------------ **
+   * Given a tree that a allows duplicate keys, and a pointer to a node in
+   * the tree, this function will return a pointer to the first (traversal
+   * order) node with the same key value.
+   *
+   *  Input:  RootPtr - A pointer to the root of the tree.
+   *          MatchMe - A pointer to the key value.  This should probably
+   *                    point to the key within node *p.
+   *          p       - A pointer to a node in the tree.
+   *  Output: A pointer to the first node in the set of nodes with keys
+   *          matching <FindMe>.
+   *  Notes:  Node *p MUST be in the set of nodes with keys matching
+   *          <FindMe>.  If not, this function will return NULL.
+   * ------------------------------------------------------------------------ **
+   */
+
+ubi_btNodePtr ubi_btLastOf( ubi_btRootPtr RootPtr,
+                            ubi_btItemPtr MatchMe,
+                            ubi_btNodePtr p );
+  /* ------------------------------------------------------------------------ **
+   * Given a tree that a allows duplicate keys, and a pointer to a node in
+   * the tree, this function will return a pointer to the last (traversal
+   * order) node with the same key value.
+   *
+   *  Input:  RootPtr - A pointer to the root of the tree.
+   *          MatchMe - A pointer to the key value.  This should probably
+   *                    point to the key within node *p.
+   *          p       - A pointer to a node in the tree.
+   *  Output: A pointer to the last node in the set of nodes with keys
+   *          matching <FindMe>.
+   *  Notes:  Node *p MUST be in the set of nodes with keys matching
+   *          <FindMe>.  If not, this function will return NULL.
+   * ------------------------------------------------------------------------ **
+   */
+
+ubi_trBool ubi_btTraverse( ubi_btRootPtr   RootPtr,
+                           ubi_btActionRtn EachNode,
+                           void           *UserData );
+  /* ------------------------------------------------------------------------ **
+   * Traverse a tree in sorted order (non-recursively).  At each node, call
+   * (*EachNode)(), passing a pointer to the current node, and UserData as the
+   * second parameter.
+   *  Input:   RootPtr  -  a pointer to an ubi_btRoot structure that indicates
+   *                       the tree to be traversed.
+   *           EachNode -  a pointer to a function to be called at each node
+   *                       as the node is visited.
+   *           UserData -  a generic pointer that may point to anything that
+   *                       you choose.
+   *  Output:  A boolean value.  FALSE if the tree is empty, otherwise TRUE.
+   * ------------------------------------------------------------------------ **
+   */
+
+ubi_trBool ubi_btKillTree( ubi_btRootPtr     RootPtr,
+                           ubi_btKillNodeRtn FreeNode );
+  /* ------------------------------------------------------------------------ **
+   * Delete an entire tree (non-recursively) and reinitialize the ubi_btRoot
+   * structure.  Note that this function will return FALSE if either parameter
+   * is NULL.
+   *
+   *  Input:   RootPtr  -  a pointer to an ubi_btRoot structure that indicates
+   *                       the root of the tree to delete.
+   *           FreeNode -  a function that will be called for each node in the
+   *                       tree to deallocate the memory used by the node.
+   *
+   *  Output:  A boolean value.  FALSE if either input parameter was NULL, else
+   *           TRUE.
+   *
+   * ------------------------------------------------------------------------ **
+   */
+
+ubi_btNodePtr ubi_btLeafNode( ubi_btNodePtr leader );
+  /* ------------------------------------------------------------------------ **
+   * Returns a pointer to a leaf node.
+   *
+   *  Input:  leader  - Pointer to a node at which to start the descent.
+   *
+   *  Output: A pointer to a leaf node selected in a somewhat arbitrary
+   *          manner.
+   *
+   *  Notes:  I wrote this function because I was using splay trees as a
+   *          database cache.  The cache had a maximum size on it, and I
+   *          needed a way of choosing a node to sacrifice if the cache
+   *          became full.  In a splay tree, less recently accessed nodes
+   *          tend toward the bottom of the tree, meaning that leaf nodes
+   *          are good candidates for removal.  (I really can't think of
+   *          any other reason to use this function.)
+   *        + In a simple binary tree or an AVL tree, the most recently
+   *          added nodes tend to be nearer the bottom, making this a *bad*
+   *          way to choose which node to remove from the cache.
+   *        + Randomizing the traversal order is probably a good idea.  You
+   *          can improve the randomization of leaf node selection by passing
+   *          in pointers to nodes other than the root node each time.  A
+   *          pointer to any node in the tree will do.  Of course, if you
+   *          pass a pointer to a leaf node you'll get the same thing back.
+   *
+   * ------------------------------------------------------------------------ **
+   */
+
+
+int ubi_btModuleID( 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_bt..., use ubi_tr..., and select the tree type by
+ * including the appropriate module header.
+ */
+
+#define ubi_trItemPtr ubi_btItemPtr
+
+#define ubi_trNode    ubi_btNode
+#define ubi_trNodePtr ubi_btNodePtr
+
+#define ubi_trRoot    ubi_btRoot
+#define ubi_trRootPtr ubi_btRootPtr
+
+#define ubi_trCompFunc    ubi_btCompFunc
+#define ubi_trActionRtn   ubi_btActionRtn
+#define ubi_trKillNodeRtn ubi_btKillNodeRtn
+
+#define ubi_trSgn( x ) ubi_btSgn( x )
+
+#define ubi_trInitNode( Np ) ubi_btInitNode( (ubi_btNodePtr)(Np) )
+
+#define ubi_trInitTree( Rp, Cf, Fl ) \
+        ubi_btInitTree( (ubi_btRootPtr)(Rp), (ubi_btCompFunc)(Cf), (Fl) )
+
+#define ubi_trInsert( Rp, Nn, Ip, On ) \
+        ubi_btInsert( (ubi_btRootPtr)(Rp), (ubi_btNodePtr)(Nn), \
+                      (ubi_btItemPtr)(Ip), (ubi_btNodePtr *)(On) )
+
+#define ubi_trRemove( Rp, Dn ) \
+        ubi_btRemove( (ubi_btRootPtr)(Rp), (ubi_btNodePtr)(Dn) )
+
+#define ubi_trLocate( Rp, Ip, Op ) \
+        ubi_btLocate( (ubi_btRootPtr)(Rp), \
+                      (ubi_btItemPtr)(Ip), \
+                      (ubi_trCompOps)(Op) )
+
+#define ubi_trFind( Rp, Ip ) \
+        ubi_btFind( (ubi_btRootPtr)(Rp), (ubi_btItemPtr)(Ip) )
+
+#define ubi_trNext( P ) ubi_btNext( (ubi_btNodePtr)(P) )
+
+#define ubi_trPrev( P ) ubi_btPrev( (ubi_btNodePtr)(P) )
+
+#define ubi_trFirst( P ) ubi_btFirst( (ubi_btNodePtr)(P) )
+
+#define ubi_trLast( P ) ubi_btLast( (ubi_btNodePtr)(P) )
+
+#define ubi_trFirstOf( Rp, Ip, P ) \
+        ubi_btFirstOf( (ubi_btRootPtr)(Rp), \
+                       (ubi_btItemPtr)(Ip), \
+                       (ubi_btNodePtr)(P) )
+
+#define ubi_trLastOf( Rp, Ip, P ) \
+        ubi_btLastOf( (ubi_btRootPtr)(Rp), \
+                      (ubi_btItemPtr)(Ip), \
+                      (ubi_btNodePtr)(P) )
+
+#define ubi_trTraverse( Rp, En, Ud ) \
+        ubi_btTraverse((ubi_btRootPtr)(Rp), (ubi_btActionRtn)(En), (void *)(Ud))
+
+#define ubi_trKillTree( Rp, Fn ) \
+        ubi_btKillTree( (ubi_btRootPtr)(Rp), (ubi_btKillNodeRtn)(Fn) )
+
+#define ubi_trLeafNode( Nd ) \
+        ubi_btLeafNode( (ubi_btNodePtr)(Nd) )
+
+#define ubi_trModuleID( s, l ) ubi_btModuleID( s, l )
+
+/* ========================================================================== */
+#endif /* ubi_BinTree_H */