| 1 | /* A splay-tree datatype. | 
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| 2 | Copyright (C) 1998, 1999, 2000, 2001 Free Software Foundation, Inc. | 
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| 3 | Contributed by Mark Mitchell (mark@markmitchell.com). | 
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| 4 |  | 
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| 5 | This file is part of GNU CC. | 
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| 6 |  | 
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| 7 | GNU CC is free software; you can redistribute it and/or modify it | 
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| 8 | under the terms of the GNU General Public License as published by | 
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| 9 | the Free Software Foundation; either version 2, or (at your option) | 
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| 10 | any later version. | 
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| 11 |  | 
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| 12 | GNU CC is distributed in the hope that it will be useful, but | 
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| 13 | WITHOUT ANY WARRANTY; without even the implied warranty of | 
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| 14 | MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU | 
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| 15 | General Public License for more details. | 
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| 16 |  | 
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| 17 | You should have received a copy of the GNU General Public License | 
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| 18 | along with GNU CC; see the file COPYING.  If not, write to | 
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| 19 | the Free Software Foundation, 59 Temple Place - Suite 330, | 
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| 20 | Boston, MA 02111-1307, USA.  */ | 
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| 21 |  | 
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| 22 | /* For an easily readable description of splay-trees, see: | 
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| 23 |  | 
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| 24 | Lewis, Harry R. and Denenberg, Larry.  Data Structures and Their | 
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| 25 | Algorithms.  Harper-Collins, Inc.  1991.  */ | 
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| 26 |  | 
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| 27 | #ifdef HAVE_CONFIG_H | 
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| 28 | #include "config.h" | 
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| 29 | #endif | 
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| 30 |  | 
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| 31 | #ifdef HAVE_STDLIB_H | 
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| 32 | #include <stdlib.h> | 
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| 33 | #endif | 
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| 34 |  | 
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| 35 | #include <stdio.h> | 
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| 36 |  | 
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| 37 | #include "libiberty.h" | 
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| 38 | #include "splay-tree.h" | 
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| 39 |  | 
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| 40 | static void splay_tree_delete_helper    PARAMS((splay_tree, | 
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| 41 | splay_tree_node)); | 
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| 42 | static void splay_tree_splay            PARAMS((splay_tree, | 
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| 43 | splay_tree_key)); | 
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| 44 | static splay_tree_node splay_tree_splay_helper | 
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| 45 | PARAMS((splay_tree, | 
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| 46 | splay_tree_key, | 
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| 47 | splay_tree_node*, | 
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| 48 | splay_tree_node*, | 
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| 49 | splay_tree_node*)); | 
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| 50 | static int splay_tree_foreach_helper    PARAMS((splay_tree, | 
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| 51 | splay_tree_node, | 
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| 52 | splay_tree_foreach_fn, | 
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| 53 | void*)); | 
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| 54 |  | 
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| 55 | /* Deallocate NODE (a member of SP), and all its sub-trees.  */ | 
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| 56 |  | 
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| 57 | static void | 
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| 58 | splay_tree_delete_helper (sp, node) | 
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| 59 | splay_tree sp; | 
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| 60 | splay_tree_node node; | 
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| 61 | { | 
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| 62 | if (!node) | 
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| 63 | return; | 
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| 64 |  | 
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| 65 | splay_tree_delete_helper (sp, node->left); | 
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| 66 | splay_tree_delete_helper (sp, node->right); | 
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| 67 |  | 
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| 68 | if (sp->delete_key) | 
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| 69 | (*sp->delete_key)(node->key); | 
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| 70 | if (sp->delete_value) | 
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| 71 | (*sp->delete_value)(node->value); | 
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| 72 |  | 
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| 73 | (*sp->deallocate) ((char*) node, sp->allocate_data); | 
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| 74 | } | 
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| 75 |  | 
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| 76 | /* Help splay SP around KEY.  PARENT and GRANDPARENT are the parent | 
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| 77 | and grandparent, respectively, of NODE.  */ | 
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| 78 |  | 
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| 79 | static splay_tree_node | 
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| 80 | splay_tree_splay_helper (sp, key, node, parent, grandparent) | 
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| 81 | splay_tree sp; | 
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| 82 | splay_tree_key key; | 
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| 83 | splay_tree_node *node; | 
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| 84 | splay_tree_node *parent; | 
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| 85 | splay_tree_node *grandparent; | 
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| 86 | { | 
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| 87 | splay_tree_node *next; | 
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| 88 | splay_tree_node n; | 
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| 89 | int comparison; | 
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| 90 |  | 
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| 91 | n = *node; | 
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| 92 |  | 
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| 93 | if (!n) | 
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| 94 | return *parent; | 
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| 95 |  | 
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| 96 | comparison = (*sp->comp) (key, n->key); | 
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| 97 |  | 
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| 98 | if (comparison == 0) | 
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| 99 | /* We've found the target.  */ | 
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| 100 | next = 0; | 
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| 101 | else if (comparison < 0) | 
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| 102 | /* The target is to the left.  */ | 
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| 103 | next = &n->left; | 
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| 104 | else | 
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| 105 | /* The target is to the right.  */ | 
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| 106 | next = &n->right; | 
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| 107 |  | 
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| 108 | if (next) | 
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| 109 | { | 
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| 110 | /* Continue down the tree.  */ | 
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| 111 | n = splay_tree_splay_helper (sp, key, next, node, parent); | 
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| 112 |  | 
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| 113 | /* The recursive call will change the place to which NODE | 
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| 114 | points.  */ | 
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| 115 | if (*node != n) | 
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| 116 | return n; | 
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| 117 | } | 
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| 118 |  | 
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| 119 | if (!parent) | 
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| 120 | /* NODE is the root.  We are done.  */ | 
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| 121 | return n; | 
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| 122 |  | 
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| 123 | /* First, handle the case where there is no grandparent (i.e., | 
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| 124 | *PARENT is the root of the tree.)  */ | 
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| 125 | if (!grandparent) | 
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| 126 | { | 
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| 127 | if (n == (*parent)->left) | 
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| 128 | { | 
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| 129 | *node = n->right; | 
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| 130 | n->right = *parent; | 
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| 131 | } | 
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| 132 | else | 
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| 133 | { | 
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| 134 | *node = n->left; | 
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| 135 | n->left = *parent; | 
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| 136 | } | 
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| 137 | *parent = n; | 
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| 138 | return n; | 
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| 139 | } | 
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| 140 |  | 
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| 141 | /* Next handle the cases where both N and *PARENT are left children, | 
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| 142 | or where both are right children.  */ | 
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| 143 | if (n == (*parent)->left && *parent == (*grandparent)->left) | 
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| 144 | { | 
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| 145 | splay_tree_node p = *parent; | 
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| 146 |  | 
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| 147 | (*grandparent)->left = p->right; | 
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| 148 | p->right = *grandparent; | 
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| 149 | p->left = n->right; | 
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| 150 | n->right = p; | 
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| 151 | *grandparent = n; | 
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| 152 | return n; | 
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| 153 | } | 
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| 154 | else if  (n == (*parent)->right && *parent == (*grandparent)->right) | 
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| 155 | { | 
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| 156 | splay_tree_node p = *parent; | 
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| 157 |  | 
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| 158 | (*grandparent)->right = p->left; | 
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| 159 | p->left = *grandparent; | 
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| 160 | p->right = n->left; | 
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| 161 | n->left = p; | 
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| 162 | *grandparent = n; | 
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| 163 | return n; | 
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| 164 | } | 
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| 165 |  | 
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| 166 | /* Finally, deal with the case where N is a left child, but *PARENT | 
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| 167 | is a right child, or vice versa.  */ | 
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| 168 | if (n == (*parent)->left) | 
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| 169 | { | 
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| 170 | (*parent)->left = n->right; | 
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| 171 | n->right = *parent; | 
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| 172 | (*grandparent)->right = n->left; | 
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| 173 | n->left = *grandparent; | 
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| 174 | *grandparent = n; | 
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| 175 | return n; | 
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| 176 | } | 
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| 177 | else | 
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| 178 | { | 
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| 179 | (*parent)->right = n->left; | 
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| 180 | n->left = *parent; | 
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| 181 | (*grandparent)->left = n->right; | 
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| 182 | n->right = *grandparent; | 
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| 183 | *grandparent = n; | 
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| 184 | return n; | 
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| 185 | } | 
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| 186 | } | 
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| 187 |  | 
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| 188 | /* Splay SP around KEY.  */ | 
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| 189 |  | 
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| 190 | static void | 
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| 191 | splay_tree_splay (sp, key) | 
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| 192 | splay_tree sp; | 
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| 193 | splay_tree_key key; | 
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| 194 | { | 
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| 195 | if (sp->root == 0) | 
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| 196 | return; | 
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| 197 |  | 
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| 198 | splay_tree_splay_helper (sp, key, &sp->root, | 
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| 199 | /*grandparent=*/0, /*parent=*/0); | 
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| 200 | } | 
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| 201 |  | 
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| 202 | /* Call FN, passing it the DATA, for every node below NODE, all of | 
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| 203 | which are from SP, following an in-order traversal.  If FN every | 
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| 204 | returns a non-zero value, the iteration ceases immediately, and the | 
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| 205 | value is returned.  Otherwise, this function returns 0.  */ | 
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| 206 |  | 
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| 207 | static int | 
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| 208 | splay_tree_foreach_helper (sp, node, fn, data) | 
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| 209 | splay_tree sp; | 
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| 210 | splay_tree_node node; | 
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| 211 | splay_tree_foreach_fn fn; | 
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| 212 | void* data; | 
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| 213 | { | 
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| 214 | int val; | 
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| 215 |  | 
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| 216 | if (!node) | 
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| 217 | return 0; | 
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| 218 |  | 
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| 219 | val = splay_tree_foreach_helper (sp, node->left, fn, data); | 
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| 220 | if (val) | 
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| 221 | return val; | 
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| 222 |  | 
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| 223 | val = (*fn)(node, data); | 
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| 224 | if (val) | 
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| 225 | return val; | 
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| 226 |  | 
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| 227 | return splay_tree_foreach_helper (sp, node->right, fn, data); | 
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| 228 | } | 
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| 229 |  | 
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| 230 |  | 
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| 231 | /* An allocator and deallocator based on xmalloc.  */ | 
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| 232 | static void * | 
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| 233 | splay_tree_xmalloc_allocate (size, data) | 
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| 234 | int size; | 
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| 235 | void *data ATTRIBUTE_UNUSED; | 
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| 236 | { | 
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| 237 | return (void *) xmalloc (size); | 
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| 238 | } | 
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| 239 |  | 
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| 240 | static void | 
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| 241 | splay_tree_xmalloc_deallocate (object, data) | 
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| 242 | void *object; | 
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| 243 | void *data ATTRIBUTE_UNUSED; | 
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| 244 | { | 
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| 245 | free (object); | 
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| 246 | } | 
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| 247 |  | 
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| 248 |  | 
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| 249 | /* Allocate a new splay tree, using COMPARE_FN to compare nodes, | 
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| 250 | DELETE_KEY_FN to deallocate keys, and DELETE_VALUE_FN to deallocate | 
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| 251 | values.  Use xmalloc to allocate the splay tree structure, and any | 
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| 252 | nodes added.  */ | 
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| 253 |  | 
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| 254 | splay_tree | 
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| 255 | splay_tree_new (compare_fn, delete_key_fn, delete_value_fn) | 
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| 256 | splay_tree_compare_fn compare_fn; | 
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| 257 | splay_tree_delete_key_fn delete_key_fn; | 
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| 258 | splay_tree_delete_value_fn delete_value_fn; | 
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| 259 | { | 
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| 260 | return (splay_tree_new_with_allocator | 
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| 261 | (compare_fn, delete_key_fn, delete_value_fn, | 
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| 262 | splay_tree_xmalloc_allocate, splay_tree_xmalloc_deallocate, 0)); | 
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| 263 | } | 
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| 264 |  | 
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| 265 |  | 
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| 266 | /* Allocate a new splay tree, using COMPARE_FN to compare nodes, | 
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| 267 | DELETE_KEY_FN to deallocate keys, and DELETE_VALUE_FN to deallocate | 
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| 268 | values.  */ | 
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| 269 |  | 
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| 270 | splay_tree | 
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| 271 | splay_tree_new_with_allocator (compare_fn, delete_key_fn, delete_value_fn, | 
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| 272 | allocate_fn, deallocate_fn, allocate_data) | 
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| 273 | splay_tree_compare_fn compare_fn; | 
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| 274 | splay_tree_delete_key_fn delete_key_fn; | 
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| 275 | splay_tree_delete_value_fn delete_value_fn; | 
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| 276 | splay_tree_allocate_fn allocate_fn; | 
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| 277 | splay_tree_deallocate_fn deallocate_fn; | 
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| 278 | void *allocate_data; | 
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| 279 | { | 
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| 280 | splay_tree sp = (splay_tree) (*allocate_fn) (sizeof (struct splay_tree_s), | 
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| 281 | allocate_data); | 
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| 282 | sp->root = 0; | 
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| 283 | sp->comp = compare_fn; | 
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| 284 | sp->delete_key = delete_key_fn; | 
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| 285 | sp->delete_value = delete_value_fn; | 
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| 286 | sp->allocate = allocate_fn; | 
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| 287 | sp->deallocate = deallocate_fn; | 
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| 288 | sp->allocate_data = allocate_data; | 
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| 289 |  | 
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| 290 | return sp; | 
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| 291 | } | 
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| 292 |  | 
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| 293 | /* Deallocate SP.  */ | 
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| 294 |  | 
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| 295 | void | 
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| 296 | splay_tree_delete (sp) | 
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| 297 | splay_tree sp; | 
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| 298 | { | 
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| 299 | splay_tree_delete_helper (sp, sp->root); | 
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| 300 | (*sp->deallocate) ((char*) sp, sp->allocate_data); | 
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| 301 | } | 
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| 302 |  | 
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| 303 | /* Insert a new node (associating KEY with DATA) into SP.  If a | 
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| 304 | previous node with the indicated KEY exists, its data is replaced | 
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| 305 | with the new value.  Returns the new node.  */ | 
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| 306 |  | 
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| 307 | splay_tree_node | 
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| 308 | splay_tree_insert (sp, key, value) | 
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| 309 | splay_tree sp; | 
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| 310 | splay_tree_key key; | 
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| 311 | splay_tree_value value; | 
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| 312 | { | 
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| 313 | int comparison = 0; | 
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| 314 |  | 
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| 315 | splay_tree_splay (sp, key); | 
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| 316 |  | 
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| 317 | if (sp->root) | 
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| 318 | comparison = (*sp->comp)(sp->root->key, key); | 
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| 319 |  | 
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| 320 | if (sp->root && comparison == 0) | 
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| 321 | { | 
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| 322 | /* If the root of the tree already has the indicated KEY, just | 
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| 323 | replace the value with VALUE.  */ | 
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| 324 | if (sp->delete_value) | 
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| 325 | (*sp->delete_value)(sp->root->value); | 
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| 326 | sp->root->value = value; | 
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| 327 | } | 
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| 328 | else | 
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| 329 | { | 
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| 330 | /* Create a new node, and insert it at the root.  */ | 
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| 331 | splay_tree_node node; | 
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| 332 |  | 
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| 333 | node = ((splay_tree_node) | 
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| 334 | (*sp->allocate) (sizeof (struct splay_tree_node_s), | 
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| 335 | sp->allocate_data)); | 
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| 336 | node->key = key; | 
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| 337 | node->value = value; | 
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| 338 |  | 
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| 339 | if (!sp->root) | 
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| 340 | node->left = node->right = 0; | 
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| 341 | else if (comparison < 0) | 
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| 342 | { | 
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| 343 | node->left = sp->root; | 
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| 344 | node->right = node->left->right; | 
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| 345 | node->left->right = 0; | 
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| 346 | } | 
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| 347 | else | 
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| 348 | { | 
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| 349 | node->right = sp->root; | 
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| 350 | node->left = node->right->left; | 
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| 351 | node->right->left = 0; | 
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| 352 | } | 
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| 353 |  | 
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| 354 | sp->root = node; | 
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| 355 | } | 
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| 356 |  | 
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| 357 | return sp->root; | 
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| 358 | } | 
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| 359 |  | 
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| 360 | /* Remove KEY from SP.  It is not an error if it did not exist.  */ | 
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| 361 |  | 
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| 362 | void | 
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| 363 | splay_tree_remove (sp, key) | 
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| 364 | splay_tree sp; | 
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| 365 | splay_tree_key key; | 
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| 366 | { | 
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| 367 | splay_tree_splay (sp, key); | 
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| 368 |  | 
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| 369 | if (sp->root && (*sp->comp) (sp->root->key, key) == 0) | 
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| 370 | { | 
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| 371 | splay_tree_node left, right; | 
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| 372 |  | 
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| 373 | left = sp->root->left; | 
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| 374 | right = sp->root->right; | 
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| 375 |  | 
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| 376 | /* Delete the root node itself.  */ | 
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| 377 | if (sp->delete_value) | 
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| 378 | (*sp->delete_value) (sp->root->value); | 
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| 379 | (*sp->deallocate) (sp->root, sp->allocate_data); | 
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| 380 |  | 
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| 381 | /* One of the children is now the root.  Doesn't matter much | 
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| 382 | which, so long as we preserve the properties of the tree.  */ | 
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| 383 | if (left) | 
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| 384 | { | 
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| 385 | sp->root = left; | 
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| 386 |  | 
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| 387 | /* If there was a right child as well, hang it off the | 
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| 388 | right-most leaf of the left child.  */ | 
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| 389 | if (right) | 
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| 390 | { | 
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| 391 | while (left->right) | 
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| 392 | left = left->right; | 
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| 393 | left->right = right; | 
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| 394 | } | 
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| 395 | } | 
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| 396 | else | 
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| 397 | sp->root = right; | 
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| 398 | } | 
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| 399 | } | 
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| 400 |  | 
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| 401 | /* Lookup KEY in SP, returning VALUE if present, and NULL | 
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| 402 | otherwise.  */ | 
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| 403 |  | 
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| 404 | splay_tree_node | 
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| 405 | splay_tree_lookup (sp, key) | 
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| 406 | splay_tree sp; | 
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| 407 | splay_tree_key key; | 
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| 408 | { | 
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| 409 | splay_tree_splay (sp, key); | 
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| 410 |  | 
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| 411 | if (sp->root && (*sp->comp)(sp->root->key, key) == 0) | 
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| 412 | return sp->root; | 
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| 413 | else | 
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| 414 | return 0; | 
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| 415 | } | 
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| 416 |  | 
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| 417 | /* Return the node in SP with the greatest key.  */ | 
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| 418 |  | 
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| 419 | splay_tree_node | 
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| 420 | splay_tree_max (sp) | 
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| 421 | splay_tree sp; | 
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| 422 | { | 
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| 423 | splay_tree_node n = sp->root; | 
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| 424 |  | 
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| 425 | if (!n) | 
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| 426 | return NULL; | 
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| 427 |  | 
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| 428 | while (n->right) | 
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| 429 | n = n->right; | 
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| 430 |  | 
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| 431 | return n; | 
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| 432 | } | 
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| 433 |  | 
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| 434 | /* Return the node in SP with the smallest key.  */ | 
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| 435 |  | 
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| 436 | splay_tree_node | 
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| 437 | splay_tree_min (sp) | 
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| 438 | splay_tree sp; | 
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| 439 | { | 
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| 440 | splay_tree_node n = sp->root; | 
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| 441 |  | 
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| 442 | if (!n) | 
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| 443 | return NULL; | 
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| 444 |  | 
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| 445 | while (n->left) | 
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| 446 | n = n->left; | 
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| 447 |  | 
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| 448 | return n; | 
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| 449 | } | 
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| 450 |  | 
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| 451 | /* Return the immediate predecessor KEY, or NULL if there is no | 
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| 452 | predecessor.  KEY need not be present in the tree.  */ | 
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| 453 |  | 
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| 454 | splay_tree_node | 
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| 455 | splay_tree_predecessor (sp, key) | 
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| 456 | splay_tree sp; | 
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| 457 | splay_tree_key key; | 
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| 458 | { | 
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| 459 | int comparison; | 
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| 460 | splay_tree_node node; | 
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| 461 |  | 
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| 462 | /* If the tree is empty, there is certainly no predecessor.  */ | 
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| 463 | if (!sp->root) | 
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| 464 | return NULL; | 
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| 465 |  | 
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| 466 | /* Splay the tree around KEY.  That will leave either the KEY | 
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| 467 | itself, its predecessor, or its successor at the root.  */ | 
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| 468 | splay_tree_splay (sp, key); | 
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| 469 | comparison = (*sp->comp)(sp->root->key, key); | 
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| 470 |  | 
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| 471 | /* If the predecessor is at the root, just return it.  */ | 
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| 472 | if (comparison < 0) | 
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| 473 | return sp->root; | 
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| 474 |  | 
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| 475 | /* Otherwise, find the leftmost element of the right subtree.  */ | 
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| 476 | node = sp->root->left; | 
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| 477 | if (node) | 
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| 478 | while (node->right) | 
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| 479 | node = node->right; | 
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| 480 |  | 
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| 481 | return node; | 
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| 482 | } | 
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| 483 |  | 
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| 484 | /* Return the immediate successor KEY, or NULL if there is no | 
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| 485 | successor.  KEY need not be present in the tree.  */ | 
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| 486 |  | 
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| 487 | splay_tree_node | 
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| 488 | splay_tree_successor (sp, key) | 
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| 489 | splay_tree sp; | 
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| 490 | splay_tree_key key; | 
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| 491 | { | 
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| 492 | int comparison; | 
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| 493 | splay_tree_node node; | 
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| 494 |  | 
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| 495 | /* If the tree is empty, there is certainly no successor.  */ | 
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| 496 | if (!sp->root) | 
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| 497 | return NULL; | 
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| 498 |  | 
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| 499 | /* Splay the tree around KEY.  That will leave either the KEY | 
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| 500 | itself, its predecessor, or its successor at the root.  */ | 
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| 501 | splay_tree_splay (sp, key); | 
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| 502 | comparison = (*sp->comp)(sp->root->key, key); | 
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| 503 |  | 
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| 504 | /* If the successor is at the root, just return it.  */ | 
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| 505 | if (comparison > 0) | 
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| 506 | return sp->root; | 
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| 507 |  | 
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| 508 | /* Otherwise, find the rightmost element of the left subtree.  */ | 
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| 509 | node = sp->root->right; | 
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| 510 | if (node) | 
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| 511 | while (node->left) | 
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| 512 | node = node->left; | 
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| 513 |  | 
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| 514 | return node; | 
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| 515 | } | 
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| 516 |  | 
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| 517 | /* Call FN, passing it the DATA, for every node in SP, following an | 
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| 518 | in-order traversal.  If FN every returns a non-zero value, the | 
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| 519 | iteration ceases immediately, and the value is returned. | 
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| 520 | Otherwise, this function returns 0.  */ | 
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| 521 |  | 
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| 522 | int | 
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| 523 | splay_tree_foreach (sp, fn, data) | 
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| 524 | splay_tree sp; | 
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| 525 | splay_tree_foreach_fn fn; | 
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| 526 | void *data; | 
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| 527 | { | 
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| 528 | return splay_tree_foreach_helper (sp, sp->root, fn, data); | 
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| 529 | } | 
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| 530 |  | 
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| 531 | /* Splay-tree comparison function, treating the keys as ints.  */ | 
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| 532 |  | 
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| 533 | int | 
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| 534 | splay_tree_compare_ints (k1, k2) | 
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| 535 | splay_tree_key k1; | 
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| 536 | splay_tree_key k2; | 
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| 537 | { | 
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| 538 | if ((int) k1 < (int) k2) | 
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| 539 | return -1; | 
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| 540 | else if ((int) k1 > (int) k2) | 
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| 541 | return 1; | 
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| 542 | else | 
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| 543 | return 0; | 
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| 544 | } | 
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| 545 |  | 
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| 546 | /* Splay-tree comparison function, treating the keys as pointers.  */ | 
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| 547 |  | 
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| 548 | int | 
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| 549 | splay_tree_compare_pointers (k1, k2) | 
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| 550 | splay_tree_key k1; | 
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| 551 | splay_tree_key k2; | 
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| 552 | { | 
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| 553 | if ((char*) k1 < (char*) k2) | 
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| 554 | return -1; | 
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| 555 | else if ((char*) k1 > (char*) k2) | 
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| 556 | return 1; | 
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| 557 | else | 
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| 558 | return 0; | 
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| 559 | } | 
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