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      1 /*	$NetBSD: avl.c,v 1.7 2005/02/11 06:21:22 simonb Exp $	*/
      2 
      3 /*
      4  * Copyright (c) 1997 Philip A. Nelson.
      5  * All rights reserved.
      6  *
      7  * Redistribution and use in source and binary forms, with or without
      8  * modification, are permitted provided that the following conditions
      9  * are met:
     10  * 1. Redistributions of source code must retain the above copyright
     11  *    notice, this list of conditions and the following disclaimer.
     12  * 2. Redistributions in binary form must reproduce the above copyright
     13  *    notice, this list of conditions and the following disclaimer in the
     14  *    documentation and/or other materials provided with the distribution.
     15  * 3. All advertising materials mentioning features or use of this software
     16  *    must display the following acknowledgement:
     17  *	This product includes software developed by Philip A. Nelson.
     18  * 4. The name of Philip A. Nelson may not be used to endorse or promote
     19  *    products derived from this software without specific prior written
     20  *    permission.
     21  *
     22  * THIS SOFTWARE IS PROVIDED BY PHILIP NELSON ``AS IS'' AND ANY EXPRESS OR
     23  * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
     24  * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
     25  * IN NO EVENT SHALL PHILIP NELSON BE LIABLE FOR ANY DIRECT, INDIRECT,
     26  * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
     27  * NOT LIMITED TO,  PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
     28  * DATA, OR PROFITS;  OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
     29  * THEORY OF LIABILITY,  WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
     30  * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
     31  * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
     32  */
     33 
     34 /* avl.c: Routines for manipulation an avl tree.
     35  *
     36  * an include file should define the following minimum struct.:
     37  * (Comments must be made into real comments.)
     38  *
     39  *	typedef struct id_rec {
     40  *		/ * The balanced binary tree fields. * /
     41  *		char  *id;      / * The name. * /
     42  *		short balance;  / * For the balanced tree. * /
     43  *		struct id_rec *left, *right; / * Tree pointers. * /
     44  *
     45  *		/ * Other information fields. * /
     46  *	} id_rec;
     47  */
     48 
     49 #if HAVE_NBTOOL_CONFIG_H
     50 #include "nbtool_config.h"
     51 #endif
     52 
     53 #include <sys/cdefs.h>
     54 
     55 #if defined(__RCSID) && !defined(lint)
     56 __RCSID("$NetBSD: avl.c,v 1.7 2005/02/11 06:21:22 simonb Exp $");
     57 #endif
     58 
     59 
     60 #include <string.h>
     61 
     62 #include "defs.h"
     63 
     64 /*  find_id returns a pointer to node in TREE that has the correct
     65     ID.  If there is no node in TREE with ID, NULL is returned. */
     66 
     67 id_rec *
     68   find_id (id_rec *tree, char *id)
     69 {
     70   int cmp_result;
     71 
     72   /* Check for an empty tree. */
     73   if (tree == NULL)
     74     return NULL;
     75 
     76   /* Recursively search the tree. */
     77   cmp_result = strcmp (id, tree->id);
     78   if (cmp_result == 0)
     79     return tree;  /* This is the item. */
     80   else if (cmp_result < 0)
     81     return find_id (tree->left, id);
     82   else
     83     return find_id (tree->right, id);
     84 }
     85 
     86 
     87 /* insert_id inserts a NEW_ID rec into the tree whose ROOT is
     88    provided.  insert_id returns TRUE if the tree height from
     89    ROOT down is increased otherwise it returns FALSE.  This is a
     90    recursive balanced binary tree insertion algorithm. */
     91 
     92 int insert_id (id_rec **root, id_rec *new_id)
     93 {
     94   id_rec *A, *B;
     95 
     96   /* If root is NULL, this where it is to be inserted. */
     97   if (*root == NULL)
     98     {
     99       *root = new_id;
    100       new_id->left = NULL;
    101       new_id->right = NULL;
    102       new_id->balance = 0;
    103       return (TRUE);
    104     }
    105 
    106   /* We need to search for a leaf. */
    107   if (strcmp (new_id->id, (*root)->id) < 0)
    108     {
    109       /* Insert it on the left. */
    110       if (insert_id (&((*root)->left), new_id))
    111 	{
    112 	  /* The height increased. */
    113 	  (*root)->balance--;
    114 
    115 	  switch ((*root)->balance)
    116 	    {
    117 	    case  0:  /* no height increase. */
    118 	      return (FALSE);
    119 	    case -1:  /* height increase. */
    120 	      return (TRUE);
    121 	    case -2:  /* we need to do a rebalancing act. */
    122 	      A = *root;
    123 	      B = (*root)->left;
    124 	      if (B->balance <= 0)
    125 		{
    126 		  /* Single Rotate. */
    127 		  A->left = B->right;
    128 		  B->right = A;
    129 		  *root = B;
    130 		  A->balance = 0;
    131 		  B->balance = 0;
    132 		}
    133 	      else
    134 		{
    135 		  /* Double Rotate. */
    136 		  *root = B->right;
    137 		  B->right = (*root)->left;
    138 		  A->left = (*root)->right;
    139 		  (*root)->left = B;
    140 		  (*root)->right = A;
    141 		  switch ((*root)->balance)
    142 		    {
    143 		    case -1:
    144 		      A->balance = 1;
    145 		      B->balance = 0;
    146 		      break;
    147 		    case  0:
    148 		      A->balance = 0;
    149 		      B->balance = 0;
    150 		      break;
    151 		    case  1:
    152 		      A->balance = 0;
    153 		      B->balance = -1;
    154 		      break;
    155 		    }
    156 		  (*root)->balance = 0;
    157 		}
    158 	    }
    159 	}
    160     }
    161   else
    162     {
    163       /* Insert it on the right. */
    164       if (insert_id (&((*root)->right), new_id))
    165 	{
    166 	  /* The height increased. */
    167 	  (*root)->balance++;
    168 	  switch ((*root)->balance)
    169 	    {
    170 	    case 0:  /* no height increase. */
    171 	      return (FALSE);
    172 	    case 1:  /* height increase. */
    173 	      return (TRUE);
    174 	    case 2:  /* we need to do a rebalancing act. */
    175 	      A = *root;
    176 	      B = (*root)->right;
    177 	      if (B->balance >= 0)
    178 		{
    179 		  /* Single Rotate. */
    180 		  A->right = B->left;
    181 		  B->left = A;
    182 		  *root = B;
    183 		  A->balance = 0;
    184 		  B->balance = 0;
    185 		}
    186 	      else
    187 		{
    188 		  /* Double Rotate. */
    189 		  *root = B->left;
    190 		  B->left = (*root)->right;
    191 		  A->right = (*root)->left;
    192 		  (*root)->left = A;
    193 		  (*root)->right = B;
    194 		  switch ((*root)->balance)
    195 		    {
    196 		    case -1:
    197 		      A->balance = 0;
    198 		      B->balance = 1;
    199 		      break;
    200 		    case  0:
    201 		      A->balance = 0;
    202 		      B->balance = 0;
    203 		      break;
    204 		    case  1:
    205 		      A->balance = -1;
    206 		      B->balance = 0;
    207 		      break;
    208 		    }
    209 		  (*root)->balance = 0;
    210 		}
    211 	    }
    212 	}
    213     }
    214 
    215   /* If we fall through to here, the tree did not grow in height. */
    216   return (FALSE);
    217 }
    218