1 | /* $Id: kAvlBase.h 36 2009-11-09 22:49:02Z bird $ */
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2 | /** @file
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3 | * kAvlTmpl - Templated AVL Trees, The Mandatory Base Code.
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4 | */
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5 |
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6 | /*
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7 | * Copyright (c) 2001-2009 Knut St. Osmundsen <bird-kStuff-spamix@anduin.net>
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8 | *
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9 | * Permission is hereby granted, free of charge, to any person
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10 | * obtaining a copy of this software and associated documentation
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11 | * files (the "Software"), to deal in the Software without
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12 | * restriction, including without limitation the rights to use,
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13 | * copy, modify, merge, publish, distribute, sublicense, and/or sell
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14 | * copies of the Software, and to permit persons to whom the
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15 | * Software is furnished to do so, subject to the following
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16 | * conditions:
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17 | *
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18 | * The above copyright notice and this permission notice shall be
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19 | * included in all copies or substantial portions of the Software.
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20 | *
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21 | * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
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22 | * EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES
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23 | * OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
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24 | * NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT
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25 | * HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY,
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26 | * WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
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27 | * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR
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28 | * OTHER DEALINGS IN THE SOFTWARE.
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29 | */
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30 |
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31 | /** @page pg_kAvlTmpl Template Configuration.
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32 | *
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33 | * This is a templated implementation of AVL trees in C. The template
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34 | * parameters relates to the kind of key used and how duplicates are
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35 | * treated.
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36 | *
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37 | * \#define KAVL_EQUAL_ALLOWED
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38 | * Define this to tell us that equal keys are allowed.
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39 | * Then Equal keys will be put in a list pointed to by KAVLNODE::pList.
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40 | * This is by default not defined.
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41 | *
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42 | * \#define KAVL_CHECK_FOR_EQUAL_INSERT
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43 | * Define this to enable insert check for equal nodes.
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44 | * This is by default not defined.
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45 | *
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46 | * \#define KAVL_MAX_STACK
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47 | * Use this to specify the max number of stack entries the stack will use when
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48 | * inserting and removing nodes from the tree. The size should be something like
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49 | * log2(<max nodes>) + 3
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50 | * Must be defined.
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51 | *
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52 | * \#define KAVL_RANGE
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53 | * Define this to enable key ranges.
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54 | *
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55 | * \#define KAVL_OFFSET
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56 | * Define this to link the tree together using self relative offset
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57 | * instead of memory pointers, thus making the entire tree relocatable
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58 | * provided all the nodes - including the root node variable - are moved
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59 | * the exact same distance.
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60 | *
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61 | * \#define KAVL_LOOKTHRU
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62 | * Define this to employ a lookthru cache (direct) to speed up lookup for
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63 | * some usage patterns. The value should be the number of members of the
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64 | * array.
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65 | *
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66 | * \#define KAVL_LOOKTHRU_HASH(Key)
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67 | * Define this to specify a more efficient translation of the key into
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68 | * a lookthru array index. The default is key % size.
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69 | * For some key types this is required as the default will not compile.
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70 | *
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71 | * \#define KAVL_LOCKED
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72 | * Define this if you wish for the tree to be locked via the
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73 | * KAVL_WRITE_LOCK, KAVL_WRITE_UNLOCK, KAVL_READ_LOCK and
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74 | * KAVL_READ_UNLOCK macros. If not defined the tree will not be subject
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75 | * do any kind of locking and the problem of concurrency is left the user.
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76 | *
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77 | * \#define KAVL_WRITE_LOCK(pRoot)
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78 | * Lock the tree for writing.
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79 | *
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80 | * \#define KAVL_WRITE_UNLOCK(pRoot)
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81 | * Counteracts KAVL_WRITE_LOCK.
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82 | *
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83 | * \#define KAVL_READ_LOCK(pRoot)
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84 | * Lock the tree for reading.
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85 | *
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86 | * \#define KAVL_READ_UNLOCK(pRoot)
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87 | * Counteracts KAVL_READ_LOCK.
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88 | *
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89 | * \#define KAVLKEY
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90 | * Define this to the name of the AVL key type.
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91 | *
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92 | * \#define KAVL_STD_KEY_COMP
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93 | * Define this to use the standard key compare macros. If not set all the
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94 | * compare operations for KAVLKEY have to be defined: KAVL_G, KAVL_E, KAVL_NE,
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95 | * KAVL_R_IS_IDENTICAL, KAVL_R_IS_INTERSECTING and KAVL_R_IS_IN_RANGE. The
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96 | * latter three are only required when KAVL_RANGE is defined.
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97 | *
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98 | * \#define KAVLNODE
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99 | * Define this to the name (typedef) of the AVL node structure. This
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100 | * structure must have a mpLeft, mpRight, mKey and mHeight member.
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101 | * If KAVL_RANGE is defined a mKeyLast is also required.
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102 | * If KAVL_EQUAL_ALLOWED is defined a mpList member is required.
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103 | * It's possible to use other member names by redefining the names.
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104 | *
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105 | * \#define KAVLTREEPTR
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106 | * Define this to the name (typedef) of the tree pointer type. This is
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107 | * required when KAVL_OFFSET is defined. When not defined it defaults
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108 | * to KAVLNODE *.
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109 | *
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110 | * \#define KAVLROOT
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111 | * Define this to the name (typedef) of the AVL root structure. This
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112 | * is optional. However, if specified it must at least have a mpRoot
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113 | * member of KAVLTREEPTR type. If KAVL_LOOKTHRU is non-zero a
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114 | * maLookthru[KAVL_LOOKTHRU] member of the KAVLTREEPTR type is also
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115 | * required.
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116 | *
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117 | * \#define KAVL_FN
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118 | * Use this to alter the names of the AVL functions.
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119 | * Must be defined.
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120 | *
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121 | * \#define KAVL_TYPE(prefix, name)
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122 | * Use this to make external type names and unique. The prefix may be empty.
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123 | * Must be defined.
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124 | *
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125 | * \#define KAVL_INT(name)
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126 | * Use this to make internal type names and unique. The prefix may be empty.
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127 | * Must be defined.
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128 | *
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129 | * \#define KAVL_DECL(rettype)
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130 | * Function declaration macro that should be set according to the scope
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131 | * the instantiated template should have. For instance an inlined scope
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132 | * (private or public) should K_DECL_INLINE(rettype) here.
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133 | *
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134 | * This version of the kAVL tree offers the option of inlining the entire
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135 | * implementation. This depends on the compiler doing a decent job in both
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136 | * making use of the inlined code and to eliminate const variables.
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137 | */
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138 |
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139 |
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140 | /*******************************************************************************
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141 | * Internal Functions *
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142 | *******************************************************************************/
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143 | #include <k/kDefs.h>
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144 | #include <k/kTypes.h>
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145 | #include <k/kHlpAssert.h>
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146 |
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147 |
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148 | /*******************************************************************************
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149 | * Defined Constants And Macros *
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150 | *******************************************************************************/
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151 | #define KAVL_HEIGHTOF(pNode) ((KU8)((pNode) != NULL ? (pNode)->mHeight : 0))
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152 |
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153 | /** @def KAVL_GET_POINTER
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154 | * Reads a 'pointer' value.
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155 | *
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156 | * @returns The native pointer.
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157 | * @param pp Pointer to the pointer to read.
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158 | * @internal
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159 | */
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160 |
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161 | /** @def KAVL_GET_POINTER_NULL
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162 | * Reads a 'pointer' value which can be KAVL_NULL.
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163 | *
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164 | * @returns The native pointer.
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165 | * @returns NULL pointer if KAVL_NULL.
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166 | * @param pp Pointer to the pointer to read.
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167 | * @internal
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168 | */
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169 |
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170 | /** @def KAVL_SET_POINTER
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171 | * Writes a 'pointer' value.
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172 | * For offset-based schemes offset relative to pp is calculated and assigned to *pp.
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173 | *
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174 | * @returns stored pointer.
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175 | * @param pp Pointer to where to store the pointer.
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176 | * @param p Native pointer to assign to *pp.
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177 | * @internal
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178 | */
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179 |
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180 | /** @def KAVL_SET_POINTER_NULL
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181 | * Writes a 'pointer' value which can be KAVL_NULL.
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182 | *
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183 | * For offset-based schemes offset relative to pp is calculated and assigned to *pp,
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184 | * if p is not KAVL_NULL of course.
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185 | *
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186 | * @returns stored pointer.
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187 | * @param pp Pointer to where to store the pointer.
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188 | * @param pp2 Pointer to where to pointer to assign to pp. This can be KAVL_NULL
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189 | * @internal
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190 | */
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191 |
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192 | #ifndef KAVLTREEPTR
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193 | # define KAVLTREEPTR KAVLNODE *
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194 | #endif
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195 |
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196 | #ifndef KAVLROOT
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197 | # define KAVLROOT KAVL_TYPE(,ROOT)
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198 | # define KAVL_NEED_KAVLROOT
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199 | #endif
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200 |
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201 | #ifdef KAVL_LOOKTHRU
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202 | # ifndef KAVL_LOOKTHRU_HASH
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203 | # define KAVL_LOOKTHRU_HASH(Key) ( (Key) % (KAVL_LOOKTHRU) )
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204 | # endif
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205 | #elif defined(KAVL_LOOKTHRU_HASH)
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206 | # error "KAVL_LOOKTHRU_HASH without KAVL_LOOKTHRU!"
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207 | #endif
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208 |
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209 | #ifdef KAVL_LOOKTHRU
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210 | # define KAVL_LOOKTHRU_INVALIDATE_NODE(pRoot, pNode, Key) \
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211 | do { \
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212 | KAVLTREEPTR **ppEntry = &pRoot->maLookthru[KAVL_LOOKTHRU_HASH(Key)]; \
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213 | if ((pNode) == KAVL_GET_POINTER_NULL(ppEntry)) \
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214 | *ppEntry = KAVL_NULL; \
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215 | } while (0)
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216 | #else
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217 | # define KAVL_LOOKTHRU_INVALIDATE_NODE(pRoot, pNode, Key) do { } while (0)
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218 | #endif
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219 |
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220 | #ifndef KAVL_LOCKED
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221 | # define KAVL_WRITE_LOCK(pRoot) do { } while (0)
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222 | # define KAVL_WRITE_UNLOCK(pRoot) do { } while (0)
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223 | # define KAVL_READ_LOCK(pRoot) do { } while (0)
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224 | # define KAVL_READ_UNLOCK(pRoot) do { } while (0)
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225 | #endif
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226 |
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227 | #ifdef KAVL_OFFSET
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228 | # define KAVL_GET_POINTER(pp) ( (KAVLNODE *)((KIPTR)(pp) + *(pp)) )
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229 | # define KAVL_GET_POINTER_NULL(pp) ( *(pp) != KAVL_NULL ? KAVL_GET_POINTER(pp) : NULL )
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230 | # define KAVL_SET_POINTER(pp, p) ( (*(pp)) = ((KIPTR)(p) - (KIPTR)(pp)) )
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231 | # define KAVL_SET_POINTER_NULL(pp, pp2) ( (*(pp)) = *(pp2) != KAVL_NULL ? (KIPTR)KAVL_GET_POINTER(pp2) - (KIPTR)(pp) : KAVL_NULL )
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232 | #else
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233 | # define KAVL_GET_POINTER(pp) ( *(pp) )
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234 | # define KAVL_GET_POINTER_NULL(pp) ( *(pp) )
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235 | # define KAVL_SET_POINTER(pp, p) ( (*(pp)) = (p) )
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236 | # define KAVL_SET_POINTER_NULL(pp, pp2) ( (*(pp)) = *(pp2) )
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237 | #endif
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238 |
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239 |
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240 | /** @def KAVL_NULL
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241 | * The NULL 'pointer' equivalent.
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242 | */
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243 | #ifdef KAVL_OFFSET
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244 | # define KAVL_NULL 0
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245 | #else
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246 | # define KAVL_NULL NULL
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247 | #endif
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248 |
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249 | #ifdef KAVL_STD_KEY_COMP
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250 | # define KAVL_G(key1, key2) ( (key1) > (key2) )
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251 | # define KAVL_E(key1, key2) ( (key1) == (key2) )
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252 | # define KAVL_NE(key1, key2) ( (key1) != (key2) )
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253 | # ifdef KAVL_RANGE
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254 | # define KAVL_R_IS_IDENTICAL(key1B, key2B, key1E, key2E) ( (key1B) == (key2B) && (key1E) == (key2E) )
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255 | # define KAVL_R_IS_INTERSECTING(key1B, key2B, key1E, key2E) ( (key1B) <= (key2E) && (key1E) >= (key2B) )
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256 | # define KAVL_R_IS_IN_RANGE(key1B, key1E, key2) KAVL_R_IS_INTERSECTING(key1B, key2, key1E, key2)
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257 | # endif
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258 | #endif
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259 |
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260 | #ifndef KAVL_RANGE
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261 | # define KAVL_R_IS_INTERSECTING(key1B, key2B, key1E, key2E) KAVL_E(key1B, key2B)
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262 | # define KAVL_R_IS_IDENTICAL(key1B, key2B, key1E, key2E) KAVL_E(key1B, key2B)
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263 | #endif
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264 |
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265 |
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266 |
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267 | /*******************************************************************************
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268 | * Structures and Typedefs *
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269 | *******************************************************************************/
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270 | /**
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271 | * Stack used to avoid recursive calls during insert and removal.
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272 | */
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273 | typedef struct
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274 | {
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275 | unsigned cEntries;
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276 | KAVLTREEPTR *aEntries[KAVL_MAX_STACK];
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277 | } KAVL_INT(STACK);
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278 |
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279 | /**
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280 | * The callback used by the Destroy and DoWithAll functions.
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281 | */
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282 | typedef int (* KAVL_TYPE(PFN,CALLBACK))(KAVLNODE *, void *);
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283 |
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284 | #ifdef KAVL_NEED_KAVLROOT
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285 | /**
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286 | * The AVL root structure.
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287 | */
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288 | typedef struct
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289 | {
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290 | KAVLTREEPTR mpRoot;
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291 | # ifdef KAVL_LOOKTHRU
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292 | KAVLTREEPTR maLookthru[KAVL_LOOKTHRU];
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293 | # endif
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294 | } KAVLROOT;
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295 | #endif
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296 |
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297 |
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298 | /**
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299 | * Rewinds a stack of node pointer pointers, rebalancing the tree.
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300 | *
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301 | * @param pStack Pointer to stack to rewind.
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302 | * @sketch LOOP thru all stack entries
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303 | * BEGIN
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304 | * Get pointer to pointer to node (and pointer to node) from the stack.
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305 | * IF 2 higher left subtree than in right subtree THEN
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306 | * BEGIN
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307 | * IF higher (or equal) left-sub-subtree than right-sub-subtree THEN
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308 | * * n+2|n+3
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309 | * / \ / \
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310 | * n+2 n ==> n+1 n+1|n+2
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311 | * / \ / \
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312 | * n+1 n|n+1 n|n+1 n
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313 | *
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314 | * Or with keys:
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315 | *
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316 | * 4 2
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317 | * / \ / \
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318 | * 2 5 ==> 1 4
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319 | * / \ / \
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320 | * 1 3 3 5
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321 | *
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322 | * ELSE
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323 | * * n+2
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324 | * / \ / \
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325 | * n+2 n n+1 n+1
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326 | * / \ ==> / \ / \
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327 | * n n+1 n L R n
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328 | * / \
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329 | * L R
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330 | *
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331 | * Or with keys:
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332 | * 6 4
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333 | * / \ / \
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334 | * 2 7 ==> 2 6
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335 | * / \ / \ / \
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336 | * 1 4 1 3 5 7
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337 | * / \
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338 | * 3 5
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339 | * END
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340 | * ELSE IF 2 higher in right subtree than in left subtree THEN
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341 | * BEGIN
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342 | * Same as above but left <==> right. (invert the picture)
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343 | * ELSE
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344 | * IF correct height THEN break
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345 | * ELSE correct height.
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346 | * END
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347 | */
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348 | K_DECL_INLINE(void) KAVL_FN(Rebalance)(KAVL_INT(STACK) *pStack)
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349 | {
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350 | while (pStack->cEntries > 0)
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351 | {
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352 | KAVLTREEPTR *ppNode = pStack->aEntries[--pStack->cEntries];
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353 | KAVLNODE *pNode = KAVL_GET_POINTER(ppNode);
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354 | KAVLNODE *pLeftNode = KAVL_GET_POINTER_NULL(&pNode->mpLeft);
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355 | KU8 uLeftHeight = KAVL_HEIGHTOF(pLeftNode);
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356 | KAVLNODE *pRightNode = KAVL_GET_POINTER_NULL(&pNode->mpRight);
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357 | KU8 uRightHeight = KAVL_HEIGHTOF(pRightNode);
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358 |
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359 | if (uRightHeight + 1 < uLeftHeight)
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360 | {
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361 | KAVLNODE *pLeftLeftNode = KAVL_GET_POINTER_NULL(&pLeftNode->mpLeft);
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362 | KAVLNODE *pLeftRightNode = KAVL_GET_POINTER_NULL(&pLeftNode->mpRight);
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363 | KU8 uLeftRightHeight = KAVL_HEIGHTOF(pLeftRightNode);
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364 |
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365 | if (KAVL_HEIGHTOF(pLeftLeftNode) >= uLeftRightHeight)
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366 | {
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367 | KAVL_SET_POINTER_NULL(&pNode->mpLeft, &pLeftNode->mpRight);
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368 | KAVL_SET_POINTER(&pLeftNode->mpRight, pNode);
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369 | pLeftNode->mHeight = (KU8)(1 + (pNode->mHeight = (KU8)(1 + uLeftRightHeight)));
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370 | KAVL_SET_POINTER(ppNode, pLeftNode);
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371 | }
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372 | else
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373 | {
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374 | KAVL_SET_POINTER_NULL(&pLeftNode->mpRight, &pLeftRightNode->mpLeft);
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375 | KAVL_SET_POINTER_NULL(&pNode->mpLeft, &pLeftRightNode->mpRight);
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376 | KAVL_SET_POINTER(&pLeftRightNode->mpLeft, pLeftNode);
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377 | KAVL_SET_POINTER(&pLeftRightNode->mpRight, pNode);
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378 | pLeftNode->mHeight = pNode->mHeight = uLeftRightHeight;
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379 | pLeftRightNode->mHeight = uLeftHeight;
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380 | KAVL_SET_POINTER(ppNode, pLeftRightNode);
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381 | }
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382 | }
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383 | else if (uLeftHeight + 1 < uRightHeight)
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384 | {
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385 | KAVLNODE *pRightLeftNode = KAVL_GET_POINTER_NULL(&pRightNode->mpLeft);
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386 | KU8 uRightLeftHeight = KAVL_HEIGHTOF(pRightLeftNode);
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387 | KAVLNODE *pRightRightNode = KAVL_GET_POINTER_NULL(&pRightNode->mpRight);
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388 |
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389 | if (KAVL_HEIGHTOF(pRightRightNode) >= uRightLeftHeight)
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390 | {
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391 | KAVL_SET_POINTER_NULL(&pNode->mpRight, &pRightNode->mpLeft);
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392 | KAVL_SET_POINTER(&pRightNode->mpLeft, pNode);
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393 | pRightNode->mHeight = (KU8)(1 + (pNode->mHeight = (KU8)(1 + uRightLeftHeight)));
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394 | KAVL_SET_POINTER(ppNode, pRightNode);
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395 | }
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396 | else
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397 | {
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398 | KAVL_SET_POINTER_NULL(&pRightNode->mpLeft, &pRightLeftNode->mpRight);
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399 | KAVL_SET_POINTER_NULL(&pNode->mpRight, &pRightLeftNode->mpLeft);
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400 | KAVL_SET_POINTER(&pRightLeftNode->mpRight, pRightNode);
|
---|
401 | KAVL_SET_POINTER(&pRightLeftNode->mpLeft, pNode);
|
---|
402 | pRightNode->mHeight = pNode->mHeight = uRightLeftHeight;
|
---|
403 | pRightLeftNode->mHeight = uRightHeight;
|
---|
404 | KAVL_SET_POINTER(ppNode, pRightLeftNode);
|
---|
405 | }
|
---|
406 | }
|
---|
407 | else
|
---|
408 | {
|
---|
409 | KU8 uHeight = (KU8)(K_MAX(uLeftHeight, uRightHeight) + 1);
|
---|
410 | if (uHeight == pNode->mHeight)
|
---|
411 | break;
|
---|
412 | pNode->mHeight = uHeight;
|
---|
413 | }
|
---|
414 | }
|
---|
415 |
|
---|
416 | }
|
---|
417 |
|
---|
418 |
|
---|
419 | /**
|
---|
420 | * Initializes the root of the AVL-tree.
|
---|
421 | *
|
---|
422 | * @param pTree Pointer to the root structure.
|
---|
423 | */
|
---|
424 | KAVL_DECL(void) KAVL_FN(Init)(KAVLROOT *pRoot)
|
---|
425 | {
|
---|
426 | #ifdef KAVL_LOOKTHRU
|
---|
427 | unsigned i;
|
---|
428 | #endif
|
---|
429 |
|
---|
430 | pRoot->mpRoot = KAVL_NULL;
|
---|
431 | #ifdef KAVL_LOOKTHRU
|
---|
432 | for (i = 0; i < (KAVL_LOOKTHRU); i++)
|
---|
433 | pRoot->maLookthru[i] = KAVL_NULL;
|
---|
434 | #endif
|
---|
435 | }
|
---|
436 |
|
---|
437 |
|
---|
438 | /**
|
---|
439 | * Inserts a node into the AVL-tree.
|
---|
440 | * @returns K_TRUE if inserted.
|
---|
441 | * K_FALSE if node exists in tree.
|
---|
442 | * @param pRoot Pointer to the AVL-tree root structure.
|
---|
443 | * @param pNode Pointer to the node which is to be added.
|
---|
444 | * @sketch Find the location of the node (using binary tree algorithm.):
|
---|
445 | * LOOP until NULL leaf pointer
|
---|
446 | * BEGIN
|
---|
447 | * Add node pointer pointer to the AVL-stack.
|
---|
448 | * IF new-node-key < node key THEN
|
---|
449 | * left
|
---|
450 | * ELSE
|
---|
451 | * right
|
---|
452 | * END
|
---|
453 | * Fill in leaf node and insert it.
|
---|
454 | * Rebalance the tree.
|
---|
455 | */
|
---|
456 | KAVL_DECL(KBOOL) KAVL_FN(Insert)(KAVLROOT *pRoot, KAVLNODE *pNode)
|
---|
457 | {
|
---|
458 | KAVL_INT(STACK) AVLStack;
|
---|
459 | KAVLTREEPTR *ppCurNode = &pRoot->mpRoot;
|
---|
460 | register KAVLKEY Key = pNode->mKey;
|
---|
461 | #ifdef KAVL_RANGE
|
---|
462 | register KAVLKEY KeyLast = pNode->mKeyLast;
|
---|
463 | #endif
|
---|
464 |
|
---|
465 | #ifdef KAVL_RANGE
|
---|
466 | if (Key > KeyLast)
|
---|
467 | return K_FALSE;
|
---|
468 | #endif
|
---|
469 |
|
---|
470 | KAVL_WRITE_LOCK(pRoot);
|
---|
471 |
|
---|
472 | AVLStack.cEntries = 0;
|
---|
473 | while (*ppCurNode != KAVL_NULL)
|
---|
474 | {
|
---|
475 | register KAVLNODE *pCurNode = KAVL_GET_POINTER(ppCurNode);
|
---|
476 |
|
---|
477 | kHlpAssert(AVLStack.cEntries < KAVL_MAX_STACK);
|
---|
478 | AVLStack.aEntries[AVLStack.cEntries++] = ppCurNode;
|
---|
479 | #ifdef KAVL_EQUAL_ALLOWED
|
---|
480 | if (KAVL_R_IS_IDENTICAL(pCurNode->mKey, Key, pCurNode->mKeyLast, KeyLast))
|
---|
481 | {
|
---|
482 | /*
|
---|
483 | * If equal then we'll use a list of equal nodes.
|
---|
484 | */
|
---|
485 | pNode->mpLeft = pNode->mpRight = KAVL_NULL;
|
---|
486 | pNode->mHeight = 0;
|
---|
487 | KAVL_SET_POINTER_NULL(&pNode->mpList, &pCurNode->mpList);
|
---|
488 | KAVL_SET_POINTER(&pCurNode->mpList, pNode);
|
---|
489 | KAVL_WRITE_UNLOCK(pRoot);
|
---|
490 | return K_TRUE;
|
---|
491 | }
|
---|
492 | #endif
|
---|
493 | #ifdef KAVL_CHECK_FOR_EQUAL_INSERT
|
---|
494 | if (KAVL_R_IS_INTERSECTING(pCurNode->mKey, Key, pCurNode->mKeyLast, KeyLast))
|
---|
495 | {
|
---|
496 | KAVL_WRITE_UNLOCK(pRoot);
|
---|
497 | return K_FALSE;
|
---|
498 | }
|
---|
499 | #endif
|
---|
500 | if (KAVL_G(pCurNode->mKey, Key))
|
---|
501 | ppCurNode = &pCurNode->mpLeft;
|
---|
502 | else
|
---|
503 | ppCurNode = &pCurNode->mpRight;
|
---|
504 | }
|
---|
505 |
|
---|
506 | pNode->mpLeft = pNode->mpRight = KAVL_NULL;
|
---|
507 | #ifdef KAVL_EQUAL_ALLOWED
|
---|
508 | pNode->mpList = KAVL_NULL;
|
---|
509 | #endif
|
---|
510 | pNode->mHeight = 1;
|
---|
511 | KAVL_SET_POINTER(ppCurNode, pNode);
|
---|
512 |
|
---|
513 | KAVL_FN(Rebalance)(&AVLStack);
|
---|
514 |
|
---|
515 | KAVL_WRITE_UNLOCK(pRoot);
|
---|
516 | return K_TRUE;
|
---|
517 | }
|
---|
518 |
|
---|
519 |
|
---|
520 | /**
|
---|
521 | * Removes a node from the AVL-tree.
|
---|
522 | * @returns Pointer to the node.
|
---|
523 | * @param pRoot Pointer to the AVL-tree root structure.
|
---|
524 | * @param Key Key value of the node which is to be removed.
|
---|
525 | * @sketch Find the node which is to be removed:
|
---|
526 | * LOOP until not found
|
---|
527 | * BEGIN
|
---|
528 | * Add node pointer pointer to the AVL-stack.
|
---|
529 | * IF the keys matches THEN break!
|
---|
530 | * IF remove key < node key THEN
|
---|
531 | * left
|
---|
532 | * ELSE
|
---|
533 | * right
|
---|
534 | * END
|
---|
535 | * IF found THEN
|
---|
536 | * BEGIN
|
---|
537 | * IF left node not empty THEN
|
---|
538 | * BEGIN
|
---|
539 | * Find the right most node in the left tree while adding the pointer to the pointer to it's parent to the stack:
|
---|
540 | * Start at left node.
|
---|
541 | * LOOP until right node is empty
|
---|
542 | * BEGIN
|
---|
543 | * Add to stack.
|
---|
544 | * go right.
|
---|
545 | * END
|
---|
546 | * Link out the found node.
|
---|
547 | * Replace the node which is to be removed with the found node.
|
---|
548 | * Correct the stack entry for the pointer to the left tree.
|
---|
549 | * END
|
---|
550 | * ELSE
|
---|
551 | * BEGIN
|
---|
552 | * Move up right node.
|
---|
553 | * Remove last stack entry.
|
---|
554 | * END
|
---|
555 | * Balance tree using stack.
|
---|
556 | * END
|
---|
557 | * return pointer to the removed node (if found).
|
---|
558 | */
|
---|
559 | KAVL_DECL(KAVLNODE *) KAVL_FN(Remove)(KAVLROOT *pRoot, KAVLKEY Key)
|
---|
560 | {
|
---|
561 | KAVL_INT(STACK) AVLStack;
|
---|
562 | KAVLTREEPTR *ppDeleteNode = &pRoot->mpRoot;
|
---|
563 | register KAVLNODE *pDeleteNode;
|
---|
564 |
|
---|
565 | KAVL_WRITE_LOCK(pRoot);
|
---|
566 |
|
---|
567 | AVLStack.cEntries = 0;
|
---|
568 | for (;;)
|
---|
569 | {
|
---|
570 | if (*ppDeleteNode == KAVL_NULL)
|
---|
571 | {
|
---|
572 | KAVL_WRITE_UNLOCK(pRoot);
|
---|
573 | return NULL;
|
---|
574 | }
|
---|
575 | pDeleteNode = KAVL_GET_POINTER(ppDeleteNode);
|
---|
576 |
|
---|
577 | kHlpAssert(AVLStack.cEntries < KAVL_MAX_STACK);
|
---|
578 | AVLStack.aEntries[AVLStack.cEntries++] = ppDeleteNode;
|
---|
579 | if (KAVL_E(pDeleteNode->mKey, Key))
|
---|
580 | break;
|
---|
581 |
|
---|
582 | if (KAVL_G(pDeleteNode->mKey, Key))
|
---|
583 | ppDeleteNode = &pDeleteNode->mpLeft;
|
---|
584 | else
|
---|
585 | ppDeleteNode = &pDeleteNode->mpRight;
|
---|
586 | }
|
---|
587 |
|
---|
588 | if (pDeleteNode->mpLeft != KAVL_NULL)
|
---|
589 | {
|
---|
590 | /* find the rightmost node in the left tree. */
|
---|
591 | const unsigned iStackEntry = AVLStack.cEntries;
|
---|
592 | KAVLTREEPTR *ppLeftLeast = &pDeleteNode->mpLeft;
|
---|
593 | register KAVLNODE *pLeftLeast = KAVL_GET_POINTER(ppLeftLeast);
|
---|
594 |
|
---|
595 | while (pLeftLeast->mpRight != KAVL_NULL)
|
---|
596 | {
|
---|
597 | kHlpAssert(AVLStack.cEntries < KAVL_MAX_STACK);
|
---|
598 | AVLStack.aEntries[AVLStack.cEntries++] = ppLeftLeast;
|
---|
599 | ppLeftLeast = &pLeftLeast->mpRight;
|
---|
600 | pLeftLeast = KAVL_GET_POINTER(ppLeftLeast);
|
---|
601 | }
|
---|
602 |
|
---|
603 | /* link out pLeftLeast */
|
---|
604 | KAVL_SET_POINTER_NULL(ppLeftLeast, &pLeftLeast->mpLeft);
|
---|
605 |
|
---|
606 | /* link it in place of the delete node. */
|
---|
607 | KAVL_SET_POINTER_NULL(&pLeftLeast->mpLeft, &pDeleteNode->mpLeft);
|
---|
608 | KAVL_SET_POINTER_NULL(&pLeftLeast->mpRight, &pDeleteNode->mpRight);
|
---|
609 | pLeftLeast->mHeight = pDeleteNode->mHeight;
|
---|
610 | KAVL_SET_POINTER(ppDeleteNode, pLeftLeast);
|
---|
611 | AVLStack.aEntries[iStackEntry] = &pLeftLeast->mpLeft;
|
---|
612 | }
|
---|
613 | else
|
---|
614 | {
|
---|
615 | KAVL_SET_POINTER_NULL(ppDeleteNode, &pDeleteNode->mpRight);
|
---|
616 | AVLStack.cEntries--;
|
---|
617 | }
|
---|
618 |
|
---|
619 | KAVL_FN(Rebalance)(&AVLStack);
|
---|
620 |
|
---|
621 | KAVL_LOOKTHRU_INVALIDATE_NODE(pRoot, pDeleteNode, Key);
|
---|
622 |
|
---|
623 | KAVL_WRITE_UNLOCK(pRoot);
|
---|
624 | return pDeleteNode;
|
---|
625 | }
|
---|
626 |
|
---|