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;
|
---|
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 | }
|
---|