1 | /** |
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2 | * @file rtems/score/rbtree.h |
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3 | * |
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4 | * @brief Constants and Structures Associated with the Red-Black Tree Handler |
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5 | * |
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6 | * This include file contains all the constants and structures associated |
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7 | * with the Red-Black Tree Handler. |
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8 | */ |
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9 | |
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10 | /* |
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11 | * Copyright (c) 2010 Gedare Bloom. |
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12 | * |
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13 | * The license and distribution terms for this file may be |
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14 | * found in the file LICENSE in this distribution or at |
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15 | * http://www.rtems.org/license/LICENSE. |
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16 | */ |
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17 | |
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18 | #ifndef _RTEMS_SCORE_RBTREE_H |
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19 | #define _RTEMS_SCORE_RBTREE_H |
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20 | |
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21 | #include <sys/tree.h> |
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22 | #include <rtems/score/basedefs.h> |
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23 | #include <rtems/score/assert.h> |
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24 | |
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25 | #ifdef __cplusplus |
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26 | extern "C" { |
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27 | #endif |
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28 | |
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29 | /** |
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30 | * @defgroup ScoreRBTree Red-Black Tree Handler |
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31 | * |
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32 | * @ingroup Score |
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33 | * |
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34 | * The Red-Black Tree Handler is used to manage sets of entities. This handler |
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35 | * provides two data structures. The rbtree Node data structure is included |
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36 | * as the first part of every data structure that will be placed on |
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37 | * a RBTree. The second data structure is rbtree Control which is used |
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38 | * to manage a set of rbtree Nodes. |
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39 | */ |
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40 | /**@{*/ |
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41 | |
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42 | struct RBTree_Control; |
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43 | |
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44 | /** |
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45 | * @brief Red-black tree node. |
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46 | * |
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47 | * This is used to manage each node (element) which is placed on a red-black |
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48 | * tree. |
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49 | */ |
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50 | typedef struct RBTree_Node { |
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51 | RB_ENTRY(RBTree_Node) Node; |
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52 | } RBTree_Node; |
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53 | |
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54 | /** |
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55 | * @brief Red-black tree control. |
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56 | * |
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57 | * This is used to manage a red-black tree. A red-black tree consists of a |
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58 | * tree of zero or more nodes. |
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59 | */ |
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60 | typedef RB_HEAD(RBTree_Control, RBTree_Node) RBTree_Control; |
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61 | |
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62 | /** |
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63 | * @brief Initializer for an empty red-black tree with designator @a name. |
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64 | */ |
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65 | #define RBTREE_INITIALIZER_EMPTY( name ) \ |
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66 | RB_INITIALIZER( name ) |
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67 | |
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68 | /** |
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69 | * @brief Definition for an empty red-black tree with designator @a name. |
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70 | */ |
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71 | #define RBTREE_DEFINE_EMPTY( name ) \ |
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72 | RBTree_Control name = RBTREE_INITIALIZER_EMPTY( name ) |
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73 | |
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74 | /** |
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75 | * @brief Sets a red-black tree node as off-tree. |
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76 | * |
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77 | * Do not use this function on nodes which are a part of a tree. |
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78 | * |
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79 | * @param[in] the_node The node to set off-tree. |
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80 | * |
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81 | * @see _RBTree_Is_node_off_tree(). |
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82 | */ |
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83 | RTEMS_INLINE_ROUTINE void _RBTree_Set_off_tree( RBTree_Node *the_node ) |
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84 | { |
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85 | RB_COLOR( the_node, Node ) = -1; |
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86 | } |
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87 | |
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88 | /** |
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89 | * @brief Returns true, if this red-black tree node is off-tree, and false |
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90 | * otherwise. |
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91 | * |
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92 | * @param[in] the_node The node to test. |
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93 | * |
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94 | * @retval true The node is not a part of a tree (off-tree). |
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95 | * @retval false Otherwise. |
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96 | * |
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97 | * @see _RBTree_Set_off_tree(). |
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98 | */ |
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99 | RTEMS_INLINE_ROUTINE bool _RBTree_Is_node_off_tree( |
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100 | const RBTree_Node *the_node |
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101 | ) |
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102 | { |
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103 | return RB_COLOR( the_node, Node ) == -1; |
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104 | } |
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105 | |
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106 | /** |
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107 | * @brief Rebalances the red-black tree after insertion of the node. |
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108 | * |
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109 | * @param[in] the_rbtree The red-black tree control. |
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110 | * @param[in] the_node The most recently inserted node. |
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111 | */ |
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112 | void _RBTree_Insert_color( |
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113 | RBTree_Control *the_rbtree, |
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114 | RBTree_Node *the_node |
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115 | ); |
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116 | |
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117 | /** |
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118 | * @brief Initializes a red-black tree node. |
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119 | * |
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120 | * In debug configurations, the node is set off tree. In all other |
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121 | * configurations, this function does nothing. |
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122 | * |
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123 | * @param[in] the_node The red-black tree node to initialize. |
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124 | */ |
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125 | RTEMS_INLINE_ROUTINE void _RBTree_Initialize_node( RBTree_Node *the_node ) |
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126 | { |
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127 | #if defined(RTEMS_DEBUG) |
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128 | _RBTree_Set_off_tree( the_node ); |
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129 | #else |
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130 | (void) the_node; |
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131 | #endif |
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132 | } |
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133 | |
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134 | /** |
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135 | * @brief Adds a child node to a parent node. |
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136 | * |
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137 | * @param[in] child The child node. |
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138 | * @param[in] parent The parent node. |
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139 | * @param[in] link The child node link of the parent node. |
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140 | */ |
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141 | RTEMS_INLINE_ROUTINE void _RBTree_Add_child( |
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142 | RBTree_Node *child, |
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143 | RBTree_Node *parent, |
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144 | RBTree_Node **link |
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145 | ) |
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146 | { |
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147 | _Assert( _RBTree_Is_node_off_tree( child ) ); |
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148 | RB_SET( child, parent, Node ); |
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149 | *link = child; |
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150 | } |
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151 | |
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152 | /** |
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153 | * @brief Inserts the node into the red-black tree using the specified parent |
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154 | * node and link. |
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155 | * |
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156 | * @param[in] the_rbtree The red-black tree control. |
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157 | * @param[in] the_node The node to insert. |
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158 | * @param[in] parent The parent node. |
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159 | * @param[in] link The child node link of the parent node. |
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160 | * |
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161 | * @code |
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162 | * #include <rtems/score/rbtree.h> |
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163 | * |
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164 | * typedef struct { |
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165 | * int value; |
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166 | * RBTree_Node Node; |
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167 | * } Some_Node; |
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168 | * |
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169 | * bool _Some_Less( |
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170 | * const RBTree_Node *a, |
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171 | * const RBTree_Node *b |
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172 | * ) |
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173 | * { |
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174 | * const Some_Node *aa = RTEMS_CONTAINER_OF( a, Some_Node, Node ); |
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175 | * const Some_Node *bb = RTEMS_CONTAINER_OF( b, Some_Node, Node ); |
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176 | * |
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177 | * return aa->value < bb->value; |
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178 | * } |
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179 | * |
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180 | * void _Some_Insert( |
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181 | * RBTree_Control *the_rbtree, |
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182 | * Some_Node *the_node |
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183 | * ) |
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184 | * { |
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185 | * RBTree_Node **link = _RBTree_Root_reference( the_rbtree ); |
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186 | * RBTree_Node *parent = NULL; |
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187 | * |
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188 | * while ( *link != NULL ) { |
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189 | * parent = *link; |
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190 | * |
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191 | * if ( _Some_Less( &the_node->Node, parent ) ) { |
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192 | * link = _RBTree_Left_reference( parent ); |
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193 | * } else { |
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194 | * link = _RBTree_Right_reference( parent ); |
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195 | * } |
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196 | * } |
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197 | * |
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198 | * _RBTree_Insert_with_parent( the_rbtree, &the_node->Node, parent, link ); |
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199 | * } |
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200 | * @endcode |
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201 | */ |
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202 | RTEMS_INLINE_ROUTINE void _RBTree_Insert_with_parent( |
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203 | RBTree_Control *the_rbtree, |
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204 | RBTree_Node *the_node, |
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205 | RBTree_Node *parent, |
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206 | RBTree_Node **link |
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207 | ) |
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208 | { |
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209 | _RBTree_Add_child( the_node, parent, link ); |
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210 | _RBTree_Insert_color( the_rbtree, the_node ); |
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211 | } |
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212 | |
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213 | /** |
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214 | * @brief Extracts (removes) the node from the red-black tree. |
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215 | * |
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216 | * This function does not set the node off-tree. In case this is desired, then |
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217 | * call _RBTree_Set_off_tree() after the extraction. |
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218 | * |
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219 | * In case the node to extract is not a node of the tree, then this function |
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220 | * yields unpredictable results. |
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221 | * |
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222 | * @param[in] the_rbtree The red-black tree control. |
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223 | * @param[in] the_node The node to extract. |
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224 | */ |
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225 | void _RBTree_Extract( |
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226 | RBTree_Control *the_rbtree, |
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227 | RBTree_Node *the_node |
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228 | ); |
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229 | |
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230 | /** |
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231 | * @brief Returns a pointer to root node of the red-black tree. |
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232 | * |
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233 | * The root node may change after insert or extract operations. |
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234 | * |
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235 | * @param[in] the_rbtree The red-black tree control. |
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236 | * |
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237 | * @retval NULL The tree is empty. |
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238 | * @retval root The root node. |
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239 | * |
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240 | * @see _RBTree_Is_root(). |
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241 | */ |
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242 | RTEMS_INLINE_ROUTINE RBTree_Node *_RBTree_Root( |
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243 | const RBTree_Control *the_rbtree |
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244 | ) |
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245 | { |
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246 | return RB_ROOT( the_rbtree ); |
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247 | } |
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248 | |
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249 | /** |
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250 | * @brief Returns a reference to the root pointer of the red-black tree. |
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251 | */ |
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252 | RTEMS_INLINE_ROUTINE RBTree_Node **_RBTree_Root_reference( |
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253 | RBTree_Control *the_rbtree |
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254 | ) |
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255 | { |
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256 | return &RB_ROOT( the_rbtree ); |
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257 | } |
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258 | |
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259 | /** |
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260 | * @brief Returns a constant reference to the root pointer of the red-black tree. |
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261 | */ |
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262 | RTEMS_INLINE_ROUTINE RBTree_Node * const *_RBTree_Root_const_reference( |
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263 | const RBTree_Control *the_rbtree |
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264 | ) |
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265 | { |
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266 | return &RB_ROOT( the_rbtree ); |
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267 | } |
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268 | |
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269 | /** |
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270 | * @brief Returns a pointer to the parent of this node. |
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271 | * |
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272 | * The node must have a parent, thus it is invalid to use this function for the |
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273 | * root node or a node that is not part of a tree. To test for the root node |
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274 | * compare with _RBTree_Root() or use _RBTree_Is_root(). |
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275 | * |
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276 | * @param[in] the_node The node of interest. |
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277 | * |
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278 | * @retval parent The parent of this node. |
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279 | * @retval undefined The node is the root node or not part of a tree. |
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280 | */ |
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281 | RTEMS_INLINE_ROUTINE RBTree_Node *_RBTree_Parent( |
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282 | const RBTree_Node *the_node |
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283 | ) |
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284 | { |
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285 | return RB_PARENT( the_node, Node ); |
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286 | } |
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287 | |
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288 | /** |
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289 | * @brief Return pointer to the left of this node. |
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290 | * |
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291 | * This function returns a pointer to the left node of this node. |
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292 | * |
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293 | * @param[in] the_node is the node to be operated upon. |
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294 | * |
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295 | * @return This method returns the left node on the rbtree. |
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296 | */ |
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297 | RTEMS_INLINE_ROUTINE RBTree_Node *_RBTree_Left( |
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298 | const RBTree_Node *the_node |
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299 | ) |
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300 | { |
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301 | return RB_LEFT( the_node, Node ); |
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302 | } |
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303 | |
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304 | /** |
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305 | * @brief Returns a reference to the left child pointer of the red-black tree |
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306 | * node. |
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307 | */ |
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308 | RTEMS_INLINE_ROUTINE RBTree_Node **_RBTree_Left_reference( |
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309 | RBTree_Node *the_node |
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310 | ) |
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311 | { |
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312 | return &RB_LEFT( the_node, Node ); |
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313 | } |
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314 | |
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315 | /** |
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316 | * @brief Return pointer to the right of this node. |
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317 | * |
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318 | * This function returns a pointer to the right node of this node. |
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319 | * |
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320 | * @param[in] the_node is the node to be operated upon. |
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321 | * |
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322 | * @return This method returns the right node on the rbtree. |
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323 | */ |
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324 | RTEMS_INLINE_ROUTINE RBTree_Node *_RBTree_Right( |
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325 | const RBTree_Node *the_node |
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326 | ) |
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327 | { |
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328 | return RB_RIGHT( the_node, Node ); |
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329 | } |
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330 | |
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331 | /** |
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332 | * @brief Returns a reference to the right child pointer of the red-black tree |
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333 | * node. |
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334 | */ |
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335 | RTEMS_INLINE_ROUTINE RBTree_Node **_RBTree_Right_reference( |
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336 | RBTree_Node *the_node |
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337 | ) |
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338 | { |
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339 | return &RB_RIGHT( the_node, Node ); |
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340 | } |
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341 | |
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342 | /** |
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343 | * @brief Is the RBTree empty. |
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344 | * |
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345 | * This function returns true if there are no nodes on @a the_rbtree and |
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346 | * false otherwise. |
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347 | * |
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348 | * @param[in] the_rbtree is the rbtree to be operated upon. |
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349 | * |
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350 | * @retval true There are no nodes on @a the_rbtree. |
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351 | * @retval false There are nodes on @a the_rbtree. |
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352 | */ |
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353 | RTEMS_INLINE_ROUTINE bool _RBTree_Is_empty( |
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354 | const RBTree_Control *the_rbtree |
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355 | ) |
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356 | { |
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357 | return RB_EMPTY( the_rbtree ); |
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358 | } |
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359 | |
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360 | /** |
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361 | * @brief Returns true if this node is the root node of a red-black tree, and |
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362 | * false otherwise. |
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363 | * |
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364 | * The root node may change after insert or extract operations. In case the |
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365 | * node is not a node of a tree, then this function yields unpredictable |
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366 | * results. |
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367 | * |
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368 | * @param[in] the_node The node of interest. |
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369 | * |
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370 | * @retval true The node is the root node. |
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371 | * @retval false Otherwise. |
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372 | * |
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373 | * @see _RBTree_Root(). |
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374 | */ |
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375 | RTEMS_INLINE_ROUTINE bool _RBTree_Is_root( |
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376 | const RBTree_Node *the_node |
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377 | ) |
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378 | { |
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379 | return _RBTree_Parent( the_node ) == NULL; |
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380 | } |
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381 | |
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382 | /** |
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383 | * @brief Initialize this RBTree as empty. |
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384 | * |
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385 | * This routine initializes @a the_rbtree to contain zero nodes. |
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386 | */ |
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387 | RTEMS_INLINE_ROUTINE void _RBTree_Initialize_empty( |
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388 | RBTree_Control *the_rbtree |
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389 | ) |
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390 | { |
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391 | RB_INIT( the_rbtree ); |
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392 | } |
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393 | |
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394 | /** |
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395 | * @brief Initializes this red-black tree to contain exactly the specified |
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396 | * node. |
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397 | * |
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398 | * @param[in] the_rbtree The red-black tree control. |
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399 | * @param[in] the_node The one and only node. |
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400 | */ |
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401 | RTEMS_INLINE_ROUTINE void _RBTree_Initialize_one( |
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402 | RBTree_Control *the_rbtree, |
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403 | RBTree_Node *the_node |
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404 | ) |
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405 | { |
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406 | _Assert( _RBTree_Is_node_off_tree( the_node ) ); |
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407 | RB_ROOT( the_rbtree ) = the_node; |
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408 | RB_PARENT( the_node, Node ) = NULL; |
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409 | RB_LEFT( the_node, Node ) = NULL; |
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410 | RB_RIGHT( the_node, Node ) = NULL; |
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411 | RB_COLOR( the_node, Node ) = RB_BLACK; |
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412 | } |
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413 | |
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414 | /** |
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415 | * @brief Returns the minimum node of the red-black tree. |
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416 | * |
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417 | * @param[in] the_rbtree The red-black tree control. |
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418 | * |
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419 | * @retval NULL The red-black tree is empty. |
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420 | * @retval node The minimum node. |
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421 | */ |
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422 | RBTree_Node *_RBTree_Minimum( const RBTree_Control *the_rbtree ); |
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423 | |
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424 | /** |
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425 | * @brief Returns the maximum node of the red-black tree. |
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426 | * |
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427 | * @param[in] the_rbtree The red-black tree control. |
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428 | * |
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429 | * @retval NULL The red-black tree is empty. |
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430 | * @retval node The maximum node. |
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431 | */ |
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432 | RBTree_Node *_RBTree_Maximum( const RBTree_Control *the_rbtree ); |
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433 | |
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434 | /** |
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435 | * @brief Returns the predecessor of a node. |
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436 | * |
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437 | * @param[in] node is the node. |
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438 | * |
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439 | * @retval NULL The predecessor does not exist. Otherwise it returns |
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440 | * the predecessor node. |
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441 | */ |
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442 | RBTree_Node *_RBTree_Predecessor( const RBTree_Node *node ); |
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443 | |
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444 | /** |
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445 | * @brief Returns the successor of a node. |
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446 | * |
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447 | * @param[in] node is the node. |
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448 | * |
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449 | * @retval NULL The successor does not exist. Otherwise the successor node. |
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450 | */ |
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451 | RBTree_Node *_RBTree_Successor( const RBTree_Node *node ); |
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452 | |
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453 | /** |
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454 | * @brief Replaces a node in the red-black tree without a rebalance. |
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455 | * |
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456 | * @param[in] the_rbtree The red-black tree control. |
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457 | * @param[in] victim The victim node. |
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458 | * @param[in] replacement The replacement node. |
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459 | */ |
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460 | void _RBTree_Replace_node( |
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461 | RBTree_Control *the_rbtree, |
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462 | RBTree_Node *victim, |
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463 | RBTree_Node *replacement |
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464 | ); |
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465 | |
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466 | /** |
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467 | * @brief Inserts the node into the red-black tree. |
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468 | * |
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469 | * @param the_rbtree The red-black tree control. |
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470 | * @param the_node The node to insert. |
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471 | * @param key The key of the node to insert. This key must be equal to the key |
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472 | * stored in the node to insert. The separate key parameter is provided for |
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473 | * two reasons. Firstly, it allows to share the less operator with |
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474 | * _RBTree_Find_inline(). Secondly, the compiler may generate better code if |
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475 | * the key is stored in a local variable. |
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476 | * @param less Must return true if the specified key is less than the key of |
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477 | * the node, otherwise false. |
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478 | * |
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479 | * @retval true The inserted node is the new minimum node according to the |
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480 | * specified less order function. |
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481 | * @retval false Otherwise. |
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482 | */ |
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483 | RTEMS_INLINE_ROUTINE bool _RBTree_Insert_inline( |
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484 | RBTree_Control *the_rbtree, |
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485 | RBTree_Node *the_node, |
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486 | const void *key, |
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487 | bool ( *less )( const void *, const RBTree_Node * ) |
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488 | ) |
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489 | { |
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490 | RBTree_Node **link; |
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491 | RBTree_Node *parent; |
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492 | bool is_new_minimum; |
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493 | |
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494 | link = _RBTree_Root_reference( the_rbtree ); |
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495 | parent = NULL; |
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496 | is_new_minimum = true; |
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497 | |
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498 | while ( *link != NULL ) { |
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499 | parent = *link; |
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500 | |
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501 | if ( ( *less )( key, parent ) ) { |
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502 | link = _RBTree_Left_reference( parent ); |
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503 | } else { |
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504 | link = _RBTree_Right_reference( parent ); |
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505 | is_new_minimum = false; |
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506 | } |
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507 | } |
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508 | |
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509 | _RBTree_Add_child( the_node, parent, link ); |
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510 | _RBTree_Insert_color( the_rbtree, the_node ); |
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511 | return is_new_minimum; |
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512 | } |
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513 | |
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514 | /** |
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515 | * @brief Finds an object in the red-black tree with the specified key. |
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516 | * |
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517 | * @param the_rbtree The red-black tree control. |
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518 | * @param key The key to look after. |
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519 | * @param equal Must return true if the specified key equals the key of the |
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520 | * node, otherwise false. |
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521 | * @param less Must return true if the specified key is less than the key of |
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522 | * the node, otherwise false. |
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523 | * @param map In case a node with the specified key is found, then this |
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524 | * function is called to map the node to the object returned. Usually it |
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525 | * performs some offset operation via RTEMS_CONTAINER_OF() to map the node to |
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526 | * its containing object. Thus, the return type is a void pointer and not a |
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527 | * red-black tree node. |
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528 | * |
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529 | * @retval object An object with the specified key. |
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530 | * @retval NULL No object with the specified key exists in the red-black tree. |
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531 | */ |
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532 | RTEMS_INLINE_ROUTINE void *_RBTree_Find_inline( |
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533 | const RBTree_Control *the_rbtree, |
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534 | const void *key, |
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535 | bool ( *equal )( const void *, const RBTree_Node * ), |
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536 | bool ( *less )( const void *, const RBTree_Node * ), |
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537 | void *( *map )( RBTree_Node * ) |
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538 | ) |
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539 | { |
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540 | RBTree_Node * const *link; |
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541 | RBTree_Node *parent; |
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542 | |
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543 | link = _RBTree_Root_const_reference( the_rbtree ); |
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544 | parent = NULL; |
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545 | |
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546 | while ( *link != NULL ) { |
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547 | parent = *link; |
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548 | |
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549 | if ( ( *equal )( key, parent ) ) { |
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550 | return ( *map )( parent ); |
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551 | } else if ( ( *less )( key, parent ) ) { |
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552 | link = _RBTree_Left_reference( parent ); |
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553 | } else { |
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554 | link = _RBTree_Right_reference( parent ); |
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555 | } |
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556 | } |
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557 | |
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558 | return NULL; |
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559 | } |
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560 | |
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561 | /**@}*/ |
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562 | |
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563 | #ifdef __cplusplus |
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564 | } |
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565 | #endif |
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566 | |
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567 | #endif |
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568 | /* end of include file */ |
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