1 | /***************************************************************************
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2 | * _ _ ____ _
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3 | * Project ___| | | | _ \| |
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4 | * / __| | | | |_) | |
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5 | * | (__| |_| | _ <| |___
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6 | * \___|\___/|_| \_\_____|
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7 | *
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8 | * Copyright (C) Daniel Stenberg, <[email protected]>, et al.
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9 | *
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10 | * This software is licensed as described in the file COPYING, which
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11 | * you should have received as part of this distribution. The terms
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12 | * are also available at https://curl.se/docs/copyright.html.
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13 | *
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14 | * You may opt to use, copy, modify, merge, publish, distribute and/or sell
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15 | * copies of the Software, and permit persons to whom the Software is
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16 | * furnished to do so, under the terms of the COPYING file.
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17 | *
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18 | * This software is distributed on an "AS IS" basis, WITHOUT WARRANTY OF ANY
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19 | * KIND, either express or implied.
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20 | *
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21 | * SPDX-License-Identifier: curl
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22 | *
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23 | ***************************************************************************/
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24 |
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25 | #include "curl_setup.h"
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26 |
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27 | #include "splay.h"
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28 |
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29 | /*
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30 | * This macro compares two node keys i and j and returns:
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31 | *
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32 | * negative value: when i is smaller than j
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33 | * zero : when i is equal to j
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34 | * positive when : when i is larger than j
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35 | */
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36 | #define compare(i,j) Curl_splaycomparekeys((i),(j))
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37 |
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38 | /*
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39 | * Splay using the key i (which may or may not be in the tree.) The starting
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40 | * root is t.
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41 | */
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42 | struct Curl_tree *Curl_splay(struct curltime i,
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43 | struct Curl_tree *t)
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44 | {
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45 | struct Curl_tree N, *l, *r, *y;
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46 |
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47 | if(!t)
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48 | return t;
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49 | N.smaller = N.larger = NULL;
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50 | l = r = &N;
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51 |
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52 | for(;;) {
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53 | long comp = compare(i, t->key);
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54 | if(comp < 0) {
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55 | if(!t->smaller)
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56 | break;
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57 | if(compare(i, t->smaller->key) < 0) {
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58 | y = t->smaller; /* rotate smaller */
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59 | t->smaller = y->larger;
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60 | y->larger = t;
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61 | t = y;
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62 | if(!t->smaller)
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63 | break;
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64 | }
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65 | r->smaller = t; /* link smaller */
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66 | r = t;
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67 | t = t->smaller;
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68 | }
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69 | else if(comp > 0) {
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70 | if(!t->larger)
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71 | break;
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72 | if(compare(i, t->larger->key) > 0) {
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73 | y = t->larger; /* rotate larger */
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74 | t->larger = y->smaller;
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75 | y->smaller = t;
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76 | t = y;
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77 | if(!t->larger)
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78 | break;
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79 | }
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80 | l->larger = t; /* link larger */
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81 | l = t;
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82 | t = t->larger;
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83 | }
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84 | else
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85 | break;
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86 | }
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87 |
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88 | l->larger = t->smaller; /* assemble */
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89 | r->smaller = t->larger;
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90 | t->smaller = N.larger;
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91 | t->larger = N.smaller;
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92 |
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93 | return t;
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94 | }
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95 |
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96 | /* Insert key i into the tree t. Return a pointer to the resulting tree or
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97 | * NULL if something went wrong.
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98 | *
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99 | * @unittest: 1309
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100 | */
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101 | struct Curl_tree *Curl_splayinsert(struct curltime i,
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102 | struct Curl_tree *t,
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103 | struct Curl_tree *node)
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104 | {
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105 | static const struct curltime KEY_NOTUSED = {
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106 | ~0, -1
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107 | }; /* will *NEVER* appear */
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108 |
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109 | if(!node)
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110 | return t;
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111 |
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112 | if(t) {
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113 | t = Curl_splay(i, t);
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114 | if(compare(i, t->key) == 0) {
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115 | /* There already exists a node in the tree with the very same key. Build
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116 | a doubly-linked circular list of nodes. We add the new 'node' struct
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117 | to the end of this list. */
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118 |
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119 | node->key = KEY_NOTUSED; /* we set the key in the sub node to NOTUSED
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120 | to quickly identify this node as a subnode */
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121 | node->samen = t;
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122 | node->samep = t->samep;
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123 | t->samep->samen = node;
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124 | t->samep = node;
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125 |
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126 | return t; /* the root node always stays the same */
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127 | }
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128 | }
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129 |
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130 | if(!t) {
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131 | node->smaller = node->larger = NULL;
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132 | }
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133 | else if(compare(i, t->key) < 0) {
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134 | node->smaller = t->smaller;
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135 | node->larger = t;
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136 | t->smaller = NULL;
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137 |
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138 | }
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139 | else {
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140 | node->larger = t->larger;
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141 | node->smaller = t;
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142 | t->larger = NULL;
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143 | }
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144 | node->key = i;
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145 |
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146 | /* no identical nodes (yet), we are the only one in the list of nodes */
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147 | node->samen = node;
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148 | node->samep = node;
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149 | return node;
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150 | }
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151 |
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152 | /* Finds and deletes the best-fit node from the tree. Return a pointer to the
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153 | resulting tree. best-fit means the smallest node if it is not larger than
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154 | the key */
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155 | struct Curl_tree *Curl_splaygetbest(struct curltime i,
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156 | struct Curl_tree *t,
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157 | struct Curl_tree **removed)
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158 | {
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159 | static const struct curltime tv_zero = {0, 0};
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160 | struct Curl_tree *x;
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161 |
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162 | if(!t) {
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163 | *removed = NULL; /* none removed since there was no root */
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164 | return NULL;
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165 | }
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166 |
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167 | /* find smallest */
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168 | t = Curl_splay(tv_zero, t);
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169 | if(compare(i, t->key) < 0) {
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170 | /* even the smallest is too big */
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171 | *removed = NULL;
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172 | return t;
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173 | }
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174 |
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175 | /* FIRST! Check if there is a list with identical keys */
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176 | x = t->samen;
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177 | if(x != t) {
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178 | /* there is, pick one from the list */
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179 |
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180 | /* 'x' is the new root node */
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181 |
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182 | x->key = t->key;
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183 | x->larger = t->larger;
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184 | x->smaller = t->smaller;
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185 | x->samep = t->samep;
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186 | t->samep->samen = x;
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187 |
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188 | *removed = t;
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189 | return x; /* new root */
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190 | }
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191 |
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192 | /* we splayed the tree to the smallest element, there is no smaller */
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193 | x = t->larger;
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194 | *removed = t;
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195 |
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196 | return x;
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197 | }
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198 |
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199 |
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200 | /* Deletes the very node we point out from the tree if it's there. Stores a
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201 | * pointer to the new resulting tree in 'newroot'.
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202 | *
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203 | * Returns zero on success and non-zero on errors!
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204 | * When returning error, it does not touch the 'newroot' pointer.
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205 | *
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206 | * NOTE: when the last node of the tree is removed, there's no tree left so
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207 | * 'newroot' will be made to point to NULL.
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208 | *
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209 | * @unittest: 1309
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210 | */
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211 | int Curl_splayremove(struct Curl_tree *t,
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212 | struct Curl_tree *removenode,
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213 | struct Curl_tree **newroot)
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214 | {
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215 | static const struct curltime KEY_NOTUSED = {
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216 | ~0, -1
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217 | }; /* will *NEVER* appear */
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218 | struct Curl_tree *x;
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219 |
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220 | if(!t || !removenode)
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221 | return 1;
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222 |
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223 | if(compare(KEY_NOTUSED, removenode->key) == 0) {
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224 | /* Key set to NOTUSED means it is a subnode within a 'same' linked list
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225 | and thus we can unlink it easily. */
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226 | if(removenode->samen == removenode)
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227 | /* A non-subnode should never be set to KEY_NOTUSED */
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228 | return 3;
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229 |
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230 | removenode->samep->samen = removenode->samen;
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231 | removenode->samen->samep = removenode->samep;
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232 |
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233 | /* Ensures that double-remove gets caught. */
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234 | removenode->samen = removenode;
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235 |
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236 | *newroot = t; /* return the same root */
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237 | return 0;
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238 | }
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239 |
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240 | t = Curl_splay(removenode->key, t);
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241 |
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242 | /* First make sure that we got the same root node as the one we want
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243 | to remove, as otherwise we might be trying to remove a node that
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244 | isn't actually in the tree.
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245 |
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246 | We cannot just compare the keys here as a double remove in quick
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247 | succession of a node with key != KEY_NOTUSED && same != NULL
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248 | could return the same key but a different node. */
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249 | if(t != removenode)
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250 | return 2;
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251 |
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252 | /* Check if there is a list with identical sizes, as then we're trying to
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253 | remove the root node of a list of nodes with identical keys. */
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254 | x = t->samen;
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255 | if(x != t) {
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256 | /* 'x' is the new root node, we just make it use the root node's
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257 | smaller/larger links */
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258 |
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259 | x->key = t->key;
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260 | x->larger = t->larger;
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261 | x->smaller = t->smaller;
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262 | x->samep = t->samep;
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263 | t->samep->samen = x;
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264 | }
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265 | else {
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266 | /* Remove the root node */
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267 | if(!t->smaller)
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268 | x = t->larger;
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269 | else {
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270 | x = Curl_splay(removenode->key, t->smaller);
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271 | x->larger = t->larger;
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272 | }
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273 | }
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274 |
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275 | *newroot = x; /* store new root pointer */
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276 |
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277 | return 0;
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278 | }
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