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1 ------------------------------------------------------------------------------
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2 -- --
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3 -- GNAT LIBRARY COMPONENTS --
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4 -- --
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5 -- ADA.CONTAINERS.RED_BLACK_TREES.GENERIC_KEYS --
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6 -- --
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7 -- B o d y --
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8 -- --
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131
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9 -- Copyright (C) 2004-2018, Free Software Foundation, Inc. --
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111
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10 -- --
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11 -- GNAT is free software; you can redistribute it and/or modify it under --
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12 -- terms of the GNU General Public License as published by the Free Soft- --
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13 -- ware Foundation; either version 3, or (at your option) any later ver- --
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14 -- sion. GNAT is distributed in the hope that it will be useful, but WITH- --
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15 -- OUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY --
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16 -- or FITNESS FOR A PARTICULAR PURPOSE. --
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17 -- --
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18 -- As a special exception under Section 7 of GPL version 3, you are granted --
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19 -- additional permissions described in the GCC Runtime Library Exception, --
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20 -- version 3.1, as published by the Free Software Foundation. --
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21 -- --
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22 -- You should have received a copy of the GNU General Public License and --
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23 -- a copy of the GCC Runtime Library Exception along with this program; --
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24 -- see the files COPYING3 and COPYING.RUNTIME respectively. If not, see --
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25 -- <http://www.gnu.org/licenses/>. --
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26 -- --
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27 -- This unit was originally developed by Matthew J Heaney. --
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28 ------------------------------------------------------------------------------
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29
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30 package body Ada.Containers.Red_Black_Trees.Generic_Keys is
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31
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32 pragma Warnings (Off, "variable ""Busy*"" is not referenced");
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33 pragma Warnings (Off, "variable ""Lock*"" is not referenced");
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34 -- See comment in Ada.Containers.Helpers
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35
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36 package Ops renames Tree_Operations;
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37
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38 -------------
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39 -- Ceiling --
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40 -------------
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41
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42 -- AKA Lower_Bound
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43
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44 function Ceiling (Tree : Tree_Type; Key : Key_Type) return Node_Access is
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45 -- Per AI05-0022, the container implementation is required to detect
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46 -- element tampering by a generic actual subprogram.
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47
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48 Lock : With_Lock (Tree.TC'Unrestricted_Access);
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49
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50 Y : Node_Access;
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51 X : Node_Access;
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52
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53 begin
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54 -- If the container is empty, return a result immediately, so that we do
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55 -- not manipulate the tamper bits unnecessarily.
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56
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57 if Tree.Root = null then
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58 return null;
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59 end if;
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60
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61 X := Tree.Root;
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62 while X /= null loop
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63 if Is_Greater_Key_Node (Key, X) then
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64 X := Ops.Right (X);
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65 else
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66 Y := X;
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67 X := Ops.Left (X);
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68 end if;
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69 end loop;
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70
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71 return Y;
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72 end Ceiling;
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73
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74 ----------
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75 -- Find --
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76 ----------
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77
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78 function Find (Tree : Tree_Type; Key : Key_Type) return Node_Access is
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79 -- Per AI05-0022, the container implementation is required to detect
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80 -- element tampering by a generic actual subprogram.
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81
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82 Lock : With_Lock (Tree.TC'Unrestricted_Access);
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83
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84 Y : Node_Access;
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85 X : Node_Access;
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86
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87 begin
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88 -- If the container is empty, return a result immediately, so that we do
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89 -- not manipulate the tamper bits unnecessarily.
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90
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91 if Tree.Root = null then
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92 return null;
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93 end if;
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94
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95 X := Tree.Root;
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96 while X /= null loop
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97 if Is_Greater_Key_Node (Key, X) then
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98 X := Ops.Right (X);
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99 else
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100 Y := X;
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101 X := Ops.Left (X);
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102 end if;
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103 end loop;
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104
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105 if Y = null or else Is_Less_Key_Node (Key, Y) then
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106 return null;
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107 else
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108 return Y;
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109 end if;
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110 end Find;
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111
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112 -----------
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113 -- Floor --
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114 -----------
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115
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116 function Floor (Tree : Tree_Type; Key : Key_Type) return Node_Access is
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117 -- Per AI05-0022, the container implementation is required to detect
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118 -- element tampering by a generic actual subprogram.
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119
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120 Lock : With_Lock (Tree.TC'Unrestricted_Access);
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121
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122 Y : Node_Access;
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123 X : Node_Access;
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124
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125 begin
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126 -- If the container is empty, return a result immediately, so that we do
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127 -- not manipulate the tamper bits unnecessarily.
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128
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129 if Tree.Root = null then
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130 return null;
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131 end if;
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132
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133 X := Tree.Root;
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134 while X /= null loop
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135 if Is_Less_Key_Node (Key, X) then
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136 X := Ops.Left (X);
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137 else
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138 Y := X;
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139 X := Ops.Right (X);
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140 end if;
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141 end loop;
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142
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143 return Y;
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144 end Floor;
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145
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146 --------------------------------
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147 -- Generic_Conditional_Insert --
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148 --------------------------------
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149
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150 procedure Generic_Conditional_Insert
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151 (Tree : in out Tree_Type;
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152 Key : Key_Type;
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153 Node : out Node_Access;
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154 Inserted : out Boolean)
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155 is
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156 X : Node_Access;
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157 Y : Node_Access;
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158
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159 Compare : Boolean;
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160
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161 begin
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162 -- This is a "conditional" insertion, meaning that the insertion request
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163 -- can "fail" in the sense that no new node is created. If the Key is
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164 -- equivalent to an existing node, then we return the existing node and
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165 -- Inserted is set to False. Otherwise, we allocate a new node (via
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166 -- Insert_Post) and Inserted is set to True.
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167
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168 -- Note that we are testing for equivalence here, not equality. Key must
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169 -- be strictly less than its next neighbor, and strictly greater than
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170 -- its previous neighbor, in order for the conditional insertion to
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171 -- succeed.
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172
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173 -- Handle insertion into an empty container as a special case, so that
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174 -- we do not manipulate the tamper bits unnecessarily.
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175
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176 if Tree.Root = null then
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177 Insert_Post (Tree, null, True, Node);
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178 Inserted := True;
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179 return;
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180 end if;
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181
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182 -- We search the tree to find the nearest neighbor of Key, which is
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183 -- either the smallest node greater than Key (Inserted is True), or the
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184 -- largest node less or equivalent to Key (Inserted is False).
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185
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186 declare
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187 Lock : With_Lock (Tree.TC'Unrestricted_Access);
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188 begin
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189 X := Tree.Root;
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190 Y := null;
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191 Inserted := True;
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192 while X /= null loop
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193 Y := X;
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194 Inserted := Is_Less_Key_Node (Key, X);
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195 X := (if Inserted then Ops.Left (X) else Ops.Right (X));
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196 end loop;
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197 end;
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198
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199 if Inserted then
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200
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201 -- Key is less than Y. If Y is the first node in the tree, then there
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202 -- are no other nodes that we need to search for, and we insert a new
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203 -- node into the tree.
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204
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205 if Y = Tree.First then
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206 Insert_Post (Tree, Y, True, Node);
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207 return;
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208 end if;
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209
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210 -- Y is the next nearest-neighbor of Key. We know that Key is not
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211 -- equivalent to Y (because Key is strictly less than Y), so we move
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212 -- to the previous node, the nearest-neighbor just smaller or
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213 -- equivalent to Key.
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214
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215 Node := Ops.Previous (Y);
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216
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217 else
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218 -- Y is the previous nearest-neighbor of Key. We know that Key is not
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219 -- less than Y, which means either that Key is equivalent to Y, or
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220 -- greater than Y.
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221
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222 Node := Y;
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223 end if;
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224
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225 -- Key is equivalent to or greater than Node. We must resolve which is
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226 -- the case, to determine whether the conditional insertion succeeds.
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227
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228 declare
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229 Lock : With_Lock (Tree.TC'Unrestricted_Access);
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230 begin
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231 Compare := Is_Greater_Key_Node (Key, Node);
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232 end;
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233
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234 if Compare then
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235
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236 -- Key is strictly greater than Node, which means that Key is not
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237 -- equivalent to Node. In this case, the insertion succeeds, and we
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238 -- insert a new node into the tree.
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239
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240 Insert_Post (Tree, Y, Inserted, Node);
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241 Inserted := True;
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242 return;
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243 end if;
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244
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245 -- Key is equivalent to Node. This is a conditional insertion, so we do
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246 -- not insert a new node in this case. We return the existing node and
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247 -- report that no insertion has occurred.
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248
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249 Inserted := False;
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250 end Generic_Conditional_Insert;
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251
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252 ------------------------------------------
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253 -- Generic_Conditional_Insert_With_Hint --
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254 ------------------------------------------
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255
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256 procedure Generic_Conditional_Insert_With_Hint
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257 (Tree : in out Tree_Type;
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258 Position : Node_Access;
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259 Key : Key_Type;
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260 Node : out Node_Access;
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261 Inserted : out Boolean)
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262 is
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263 Test : Node_Access;
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264 Compare : Boolean;
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265
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266 begin
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267 -- The purpose of a hint is to avoid a search from the root of
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268 -- tree. If we have it hint it means we only need to traverse the
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269 -- subtree rooted at the hint to find the nearest neighbor. Note
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270 -- that finding the neighbor means merely walking the tree; this
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271 -- is not a search and the only comparisons that occur are with
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272 -- the hint and its neighbor.
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273
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274 -- Handle insertion into an empty container as a special case, so that
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275 -- we do not manipulate the tamper bits unnecessarily.
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276
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277 if Tree.Root = null then
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278 Insert_Post (Tree, null, True, Node);
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279 Inserted := True;
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280 return;
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281 end if;
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282
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283 -- If Position is null, this is interpreted to mean that Key is large
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284 -- relative to the nodes in the tree. If Key is greater than the last
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285 -- node in the tree, then we're done; otherwise the hint was "wrong" and
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286 -- we must search.
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287
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288 if Position = null then -- largest
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289 declare
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290 Lock : With_Lock (Tree.TC'Unrestricted_Access);
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291 begin
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292 Compare := Is_Greater_Key_Node (Key, Tree.Last);
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293 end;
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294
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295 if Compare then
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296 Insert_Post (Tree, Tree.Last, False, Node);
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297 Inserted := True;
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298 else
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299 Conditional_Insert_Sans_Hint (Tree, Key, Node, Inserted);
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300 end if;
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301
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302 return;
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303 end if;
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304
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305 pragma Assert (Tree.Length > 0);
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306
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307 -- A hint can either name the node that immediately follows Key,
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308 -- or immediately precedes Key. We first test whether Key is
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309 -- less than the hint, and if so we compare Key to the node that
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310 -- precedes the hint. If Key is both less than the hint and
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311 -- greater than the hint's preceding neighbor, then we're done;
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312 -- otherwise we must search.
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313
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314 -- Note also that a hint can either be an anterior node or a leaf
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315 -- node. A new node is always inserted at the bottom of the tree
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316 -- (at least prior to rebalancing), becoming the new left or
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317 -- right child of leaf node (which prior to the insertion must
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318 -- necessarily be null, since this is a leaf). If the hint names
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319 -- an anterior node then its neighbor must be a leaf, and so
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320 -- (here) we insert after the neighbor. If the hint names a leaf
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321 -- then its neighbor must be anterior and so we insert before the
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322 -- hint.
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323
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324 declare
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325 Lock : With_Lock (Tree.TC'Unrestricted_Access);
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326 begin
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327 Compare := Is_Less_Key_Node (Key, Position);
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328 end;
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329
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330 if Compare then
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331 Test := Ops.Previous (Position); -- "before"
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332
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333 if Test = null then -- new first node
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334 Insert_Post (Tree, Tree.First, True, Node);
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335
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336 Inserted := True;
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337 return;
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338 end if;
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339
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340 declare
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341 Lock : With_Lock (Tree.TC'Unrestricted_Access);
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342 begin
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343 Compare := Is_Greater_Key_Node (Key, Test);
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344 end;
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345
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346 if Compare then
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347 if Ops.Right (Test) = null then
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348 Insert_Post (Tree, Test, False, Node);
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349 else
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350 Insert_Post (Tree, Position, True, Node);
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351 end if;
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352
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353 Inserted := True;
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354
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355 else
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356 Conditional_Insert_Sans_Hint (Tree, Key, Node, Inserted);
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357 end if;
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358
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359 return;
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360 end if;
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361
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362 -- We know that Key isn't less than the hint so we try again, this time
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363 -- to see if it's greater than the hint. If so we compare Key to the
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364 -- node that follows the hint. If Key is both greater than the hint and
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365 -- less than the hint's next neighbor, then we're done; otherwise we
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366 -- must search.
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367
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368 declare
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369 Lock : With_Lock (Tree.TC'Unrestricted_Access);
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370 begin
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371 Compare := Is_Greater_Key_Node (Key, Position);
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372 end;
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373
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374 if Compare then
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375 Test := Ops.Next (Position); -- "after"
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376
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377 if Test = null then -- new last node
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378 Insert_Post (Tree, Tree.Last, False, Node);
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379
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380 Inserted := True;
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381 return;
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382 end if;
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383
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384 declare
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385 Lock : With_Lock (Tree.TC'Unrestricted_Access);
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386 begin
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387 Compare := Is_Less_Key_Node (Key, Test);
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388 end;
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389
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390 if Compare then
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391 if Ops.Right (Position) = null then
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392 Insert_Post (Tree, Position, False, Node);
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393 else
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394 Insert_Post (Tree, Test, True, Node);
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395 end if;
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396
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397 Inserted := True;
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398
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399 else
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400 Conditional_Insert_Sans_Hint (Tree, Key, Node, Inserted);
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401 end if;
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402
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403 return;
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404 end if;
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405
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406 -- We know that Key is neither less than the hint nor greater than the
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407 -- hint, and that's the definition of equivalence. There's nothing else
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408 -- we need to do, since a search would just reach the same conclusion.
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409
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410 Node := Position;
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411 Inserted := False;
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412 end Generic_Conditional_Insert_With_Hint;
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413
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414 -------------------------
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415 -- Generic_Insert_Post --
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416 -------------------------
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417
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418 procedure Generic_Insert_Post
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419 (Tree : in out Tree_Type;
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420 Y : Node_Access;
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421 Before : Boolean;
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422 Z : out Node_Access)
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423 is
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424 begin
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425 if Checks and then Tree.Length = Count_Type'Last then
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426 raise Constraint_Error with "too many elements";
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427 end if;
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428
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429 TC_Check (Tree.TC);
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430
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431 Z := New_Node;
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432 pragma Assert (Z /= null);
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433 pragma Assert (Ops.Color (Z) = Red);
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434
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435 if Y = null then
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436 pragma Assert (Tree.Length = 0);
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437 pragma Assert (Tree.Root = null);
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438 pragma Assert (Tree.First = null);
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439 pragma Assert (Tree.Last = null);
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440
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441 Tree.Root := Z;
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442 Tree.First := Z;
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443 Tree.Last := Z;
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444
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445 elsif Before then
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446 pragma Assert (Ops.Left (Y) = null);
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447
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448 Ops.Set_Left (Y, Z);
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449
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450 if Y = Tree.First then
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451 Tree.First := Z;
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452 end if;
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453
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454 else
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455 pragma Assert (Ops.Right (Y) = null);
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456
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457 Ops.Set_Right (Y, Z);
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458
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459 if Y = Tree.Last then
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460 Tree.Last := Z;
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461 end if;
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462 end if;
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463
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464 Ops.Set_Parent (Z, Y);
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465 Ops.Rebalance_For_Insert (Tree, Z);
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466 Tree.Length := Tree.Length + 1;
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467 end Generic_Insert_Post;
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468
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469 -----------------------
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470 -- Generic_Iteration --
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471 -----------------------
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472
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473 procedure Generic_Iteration
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474 (Tree : Tree_Type;
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475 Key : Key_Type)
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476 is
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477 procedure Iterate (Node : Node_Access);
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478
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479 -------------
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480 -- Iterate --
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481 -------------
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482
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483 procedure Iterate (Node : Node_Access) is
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484 N : Node_Access;
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485 begin
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486 N := Node;
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487 while N /= null loop
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488 if Is_Less_Key_Node (Key, N) then
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489 N := Ops.Left (N);
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490 elsif Is_Greater_Key_Node (Key, N) then
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491 N := Ops.Right (N);
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492 else
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493 Iterate (Ops.Left (N));
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494 Process (N);
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495 N := Ops.Right (N);
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496 end if;
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497 end loop;
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498 end Iterate;
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499
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500 -- Start of processing for Generic_Iteration
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501
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502 begin
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503 Iterate (Tree.Root);
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504 end Generic_Iteration;
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505
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506 -------------------------------
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507 -- Generic_Reverse_Iteration --
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508 -------------------------------
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509
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510 procedure Generic_Reverse_Iteration
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511 (Tree : Tree_Type;
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512 Key : Key_Type)
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513 is
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514 procedure Iterate (Node : Node_Access);
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515
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516 -------------
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517 -- Iterate --
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518 -------------
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519
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520 procedure Iterate (Node : Node_Access) is
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521 N : Node_Access;
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522 begin
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523 N := Node;
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524 while N /= null loop
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525 if Is_Less_Key_Node (Key, N) then
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526 N := Ops.Left (N);
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527 elsif Is_Greater_Key_Node (Key, N) then
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528 N := Ops.Right (N);
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529 else
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530 Iterate (Ops.Right (N));
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531 Process (N);
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532 N := Ops.Left (N);
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533 end if;
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534 end loop;
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535 end Iterate;
|
|
536
|
|
537 -- Start of processing for Generic_Reverse_Iteration
|
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538
|
|
539 begin
|
|
540 Iterate (Tree.Root);
|
|
541 end Generic_Reverse_Iteration;
|
|
542
|
|
543 ----------------------------------
|
|
544 -- Generic_Unconditional_Insert --
|
|
545 ----------------------------------
|
|
546
|
|
547 procedure Generic_Unconditional_Insert
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|
548 (Tree : in out Tree_Type;
|
|
549 Key : Key_Type;
|
|
550 Node : out Node_Access)
|
|
551 is
|
|
552 Y : Node_Access;
|
|
553 X : Node_Access;
|
|
554
|
|
555 Before : Boolean;
|
|
556
|
|
557 begin
|
|
558 Y := null;
|
|
559 Before := False;
|
|
560
|
|
561 X := Tree.Root;
|
|
562 while X /= null loop
|
|
563 Y := X;
|
|
564 Before := Is_Less_Key_Node (Key, X);
|
|
565 X := (if Before then Ops.Left (X) else Ops.Right (X));
|
|
566 end loop;
|
|
567
|
|
568 Insert_Post (Tree, Y, Before, Node);
|
|
569 end Generic_Unconditional_Insert;
|
|
570
|
|
571 --------------------------------------------
|
|
572 -- Generic_Unconditional_Insert_With_Hint --
|
|
573 --------------------------------------------
|
|
574
|
|
575 procedure Generic_Unconditional_Insert_With_Hint
|
|
576 (Tree : in out Tree_Type;
|
|
577 Hint : Node_Access;
|
|
578 Key : Key_Type;
|
|
579 Node : out Node_Access)
|
|
580 is
|
|
581 begin
|
|
582 -- There are fewer constraints for an unconditional insertion
|
|
583 -- than for a conditional insertion, since we allow duplicate
|
|
584 -- keys. So instead of having to check (say) whether Key is
|
|
585 -- (strictly) greater than the hint's previous neighbor, here we
|
|
586 -- allow Key to be equal to or greater than the previous node.
|
|
587
|
|
588 -- There is the issue of what to do if Key is equivalent to the
|
|
589 -- hint. Does the new node get inserted before or after the hint?
|
|
590 -- We decide that it gets inserted after the hint, reasoning that
|
|
591 -- this is consistent with behavior for non-hint insertion, which
|
|
592 -- inserts a new node after existing nodes with equivalent keys.
|
|
593
|
|
594 -- First we check whether the hint is null, which is interpreted
|
|
595 -- to mean that Key is large relative to existing nodes.
|
|
596 -- Following our rule above, if Key is equal to or greater than
|
|
597 -- the last node, then we insert the new node immediately after
|
|
598 -- last. (We don't have an operation for testing whether a key is
|
|
599 -- "equal to or greater than" a node, so we must say instead "not
|
|
600 -- less than", which is equivalent.)
|
|
601
|
|
602 if Hint = null then -- largest
|
|
603 if Tree.Last = null then
|
|
604 Insert_Post (Tree, null, False, Node);
|
|
605 elsif Is_Less_Key_Node (Key, Tree.Last) then
|
|
606 Unconditional_Insert_Sans_Hint (Tree, Key, Node);
|
|
607 else
|
|
608 Insert_Post (Tree, Tree.Last, False, Node);
|
|
609 end if;
|
|
610
|
|
611 return;
|
|
612 end if;
|
|
613
|
|
614 pragma Assert (Tree.Length > 0);
|
|
615
|
|
616 -- We decide here whether to insert the new node prior to the
|
|
617 -- hint. Key could be equivalent to the hint, so in theory we
|
|
618 -- could write the following test as "not greater than" (same as
|
|
619 -- "less than or equal to"). If Key were equivalent to the hint,
|
|
620 -- that would mean that the new node gets inserted before an
|
|
621 -- equivalent node. That wouldn't break any container invariants,
|
|
622 -- but our rule above says that new nodes always get inserted
|
|
623 -- after equivalent nodes. So here we test whether Key is both
|
|
624 -- less than the hint and equal to or greater than the hint's
|
|
625 -- previous neighbor, and if so insert it before the hint.
|
|
626
|
|
627 if Is_Less_Key_Node (Key, Hint) then
|
|
628 declare
|
|
629 Before : constant Node_Access := Ops.Previous (Hint);
|
|
630 begin
|
|
631 if Before = null then
|
|
632 Insert_Post (Tree, Hint, True, Node);
|
|
633 elsif Is_Less_Key_Node (Key, Before) then
|
|
634 Unconditional_Insert_Sans_Hint (Tree, Key, Node);
|
|
635 elsif Ops.Right (Before) = null then
|
|
636 Insert_Post (Tree, Before, False, Node);
|
|
637 else
|
|
638 Insert_Post (Tree, Hint, True, Node);
|
|
639 end if;
|
|
640 end;
|
|
641
|
|
642 return;
|
|
643 end if;
|
|
644
|
|
645 -- We know that Key isn't less than the hint, so it must be equal
|
|
646 -- or greater. So we just test whether Key is less than or equal
|
|
647 -- to (same as "not greater than") the hint's next neighbor, and
|
|
648 -- if so insert it after the hint.
|
|
649
|
|
650 declare
|
|
651 After : constant Node_Access := Ops.Next (Hint);
|
|
652 begin
|
|
653 if After = null then
|
|
654 Insert_Post (Tree, Hint, False, Node);
|
|
655 elsif Is_Greater_Key_Node (Key, After) then
|
|
656 Unconditional_Insert_Sans_Hint (Tree, Key, Node);
|
|
657 elsif Ops.Right (Hint) = null then
|
|
658 Insert_Post (Tree, Hint, False, Node);
|
|
659 else
|
|
660 Insert_Post (Tree, After, True, Node);
|
|
661 end if;
|
|
662 end;
|
|
663 end Generic_Unconditional_Insert_With_Hint;
|
|
664
|
|
665 -----------------
|
|
666 -- Upper_Bound --
|
|
667 -----------------
|
|
668
|
|
669 function Upper_Bound
|
|
670 (Tree : Tree_Type;
|
|
671 Key : Key_Type) return Node_Access
|
|
672 is
|
|
673 Y : Node_Access;
|
|
674 X : Node_Access;
|
|
675
|
|
676 begin
|
|
677 X := Tree.Root;
|
|
678 while X /= null loop
|
|
679 if Is_Less_Key_Node (Key, X) then
|
|
680 Y := X;
|
|
681 X := Ops.Left (X);
|
|
682 else
|
|
683 X := Ops.Right (X);
|
|
684 end if;
|
|
685 end loop;
|
|
686
|
|
687 return Y;
|
|
688 end Upper_Bound;
|
|
689
|
|
690 end Ada.Containers.Red_Black_Trees.Generic_Keys;
|