| 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 |
|
|---|
| 442 | if (!n)
|
|---|
| 443 | return NULL;
|
|---|
| 444 |
|
|---|
| 445 | while (n->left)
|
|---|
| 446 | n = n->left;
|
|---|
| 447 |
|
|---|
| 448 | return n;
|
|---|
| 449 | }
|
|---|
| 450 |
|
|---|
| 451 | /* Return the immediate predecessor KEY, or NULL if there is no
|
|---|
| 452 | predecessor. KEY need not be present in the tree. */
|
|---|
| 453 |
|
|---|
| 454 | splay_tree_node
|
|---|
| 455 | splay_tree_predecessor (sp, key)
|
|---|
| 456 | splay_tree sp;
|
|---|
| 457 | splay_tree_key key;
|
|---|
| 458 | {
|
|---|
| 459 | int comparison;
|
|---|
| 460 | splay_tree_node node;
|
|---|
| 461 |
|
|---|
| 462 | /* If the tree is empty, there is certainly no predecessor. */
|
|---|
| 463 | if (!sp->root)
|
|---|
| 464 | return NULL;
|
|---|
| 465 |
|
|---|
| 466 | /* Splay the tree around KEY. That will leave either the KEY
|
|---|
| 467 | itself, its predecessor, or its successor at the root. */
|
|---|
| 468 | splay_tree_splay (sp, key);
|
|---|
| 469 | comparison = (*sp->comp)(sp->root->key, key);
|
|---|
| 470 |
|
|---|
| 471 | /* If the predecessor is at the root, just return it. */
|
|---|
| 472 | if (comparison < 0)
|
|---|
| 473 | return sp->root;
|
|---|
| 474 |
|
|---|
| 475 | /* Otherwise, find the leftmost element of the right subtree. */
|
|---|
| 476 | node = sp->root->left;
|
|---|
| 477 | if (node)
|
|---|
| 478 | while (node->right)
|
|---|
| 479 | node = node->right;
|
|---|
| 480 |
|
|---|
| 481 | return node;
|
|---|
| 482 | }
|
|---|
| 483 |
|
|---|
| 484 | /* Return the immediate successor KEY, or NULL if there is no
|
|---|
| 485 | successor. KEY need not be present in the tree. */
|
|---|
| 486 |
|
|---|
| 487 | splay_tree_node
|
|---|
| 488 | splay_tree_successor (sp, key)
|
|---|
| 489 | splay_tree sp;
|
|---|
| 490 | splay_tree_key key;
|
|---|
| 491 | {
|
|---|
| 492 | int comparison;
|
|---|
| 493 | splay_tree_node node;
|
|---|
| 494 |
|
|---|
| 495 | /* If the tree is empty, there is certainly no successor. */
|
|---|
| 496 | if (!sp->root)
|
|---|
| 497 | return NULL;
|
|---|
| 498 |
|
|---|
| 499 | /* Splay the tree around KEY. That will leave either the KEY
|
|---|
| 500 | itself, its predecessor, or its successor at the root. */
|
|---|
| 501 | splay_tree_splay (sp, key);
|
|---|
| 502 | comparison = (*sp->comp)(sp->root->key, key);
|
|---|
| 503 |
|
|---|
| 504 | /* If the successor is at the root, just return it. */
|
|---|
| 505 | if (comparison > 0)
|
|---|
| 506 | return sp->root;
|
|---|
| 507 |
|
|---|
| 508 | /* Otherwise, find the rightmost element of the left subtree. */
|
|---|
| 509 | node = sp->root->right;
|
|---|
| 510 | if (node)
|
|---|
| 511 | while (node->left)
|
|---|
| 512 | node = node->left;
|
|---|
| 513 |
|
|---|
| 514 | return node;
|
|---|
| 515 | }
|
|---|
| 516 |
|
|---|
| 517 | /* Call FN, passing it the DATA, for every node in SP, following an
|
|---|
| 518 | in-order traversal. If FN every returns a non-zero value, the
|
|---|
| 519 | iteration ceases immediately, and the value is returned.
|
|---|
| 520 | Otherwise, this function returns 0. */
|
|---|
| 521 |
|
|---|
| 522 | int
|
|---|
| 523 | splay_tree_foreach (sp, fn, data)
|
|---|
| 524 | splay_tree sp;
|
|---|
| 525 | splay_tree_foreach_fn fn;
|
|---|
| 526 | void *data;
|
|---|
| 527 | {
|
|---|
| 528 | return splay_tree_foreach_helper (sp, sp->root, fn, data);
|
|---|
| 529 | }
|
|---|
| 530 |
|
|---|
| 531 | /* Splay-tree comparison function, treating the keys as ints. */
|
|---|
| 532 |
|
|---|
| 533 | int
|
|---|
| 534 | splay_tree_compare_ints (k1, k2)
|
|---|
| 535 | splay_tree_key k1;
|
|---|
| 536 | splay_tree_key k2;
|
|---|
| 537 | {
|
|---|
| 538 | if ((int) k1 < (int) k2)
|
|---|
| 539 | return -1;
|
|---|
| 540 | else if ((int) k1 > (int) k2)
|
|---|
| 541 | return 1;
|
|---|
| 542 | else
|
|---|
| 543 | return 0;
|
|---|
| 544 | }
|
|---|
| 545 |
|
|---|
| 546 | /* Splay-tree comparison function, treating the keys as pointers. */
|
|---|
| 547 |
|
|---|
| 548 | int
|
|---|
| 549 | splay_tree_compare_pointers (k1, k2)
|
|---|
| 550 | splay_tree_key k1;
|
|---|
| 551 | splay_tree_key k2;
|
|---|
| 552 | {
|
|---|
| 553 | if ((char*) k1 < (char*) k2)
|
|---|
| 554 | return -1;
|
|---|
| 555 | else if ((char*) k1 > (char*) k2)
|
|---|
| 556 | return 1;
|
|---|
| 557 | else
|
|---|
| 558 | return 0;
|
|---|
| 559 | }
|
|---|