mfbt/SplayTree.h

Thu, 22 Jan 2015 13:21:57 +0100

author
Michael Schloh von Bennewitz <michael@schloh.com>
date
Thu, 22 Jan 2015 13:21:57 +0100
branch
TOR_BUG_9701
changeset 15
b8a032363ba2
permissions
-rw-r--r--

Incorporate requested changes from Mozilla in review:
https://bugzilla.mozilla.org/show_bug.cgi?id=1123480#c6

michael@0 1 /* -*- Mode: C++; tab-width: 8; indent-tabs-mode: nil; c-basic-offset: 2 -*- */
michael@0 2 /* vim: set ts=8 sts=2 et sw=2 tw=80: */
michael@0 3 /* This Source Code Form is subject to the terms of the Mozilla Public
michael@0 4 * License, v. 2.0. If a copy of the MPL was not distributed with this
michael@0 5 * file, You can obtain one at http://mozilla.org/MPL/2.0/. */
michael@0 6
michael@0 7 /**
michael@0 8 * A sorted tree with optimal access times, where recently-accessed elements
michael@0 9 * are faster to access again.
michael@0 10 */
michael@0 11
michael@0 12 #ifndef mozilla_SplayTree_h
michael@0 13 #define mozilla_SplayTree_h
michael@0 14
michael@0 15 #include "mozilla/Assertions.h"
michael@0 16 #include "mozilla/NullPtr.h"
michael@0 17
michael@0 18 namespace mozilla {
michael@0 19
michael@0 20 template<class T, class C>
michael@0 21 class SplayTree;
michael@0 22
michael@0 23 template<typename T>
michael@0 24 class SplayTreeNode
michael@0 25 {
michael@0 26 public:
michael@0 27 template<class A, class B>
michael@0 28 friend class SplayTree;
michael@0 29
michael@0 30 SplayTreeNode()
michael@0 31 : left(nullptr), right(nullptr), parent(nullptr)
michael@0 32 {}
michael@0 33
michael@0 34 private:
michael@0 35 T* left;
michael@0 36 T* right;
michael@0 37 T* parent;
michael@0 38 };
michael@0 39
michael@0 40
michael@0 41 /**
michael@0 42 * Class which represents a splay tree.
michael@0 43 * Splay trees are balanced binary search trees for which search, insert and
michael@0 44 * remove are all amortized O(log n), but where accessing a node makes it
michael@0 45 * faster to access that node in the future.
michael@0 46 *
michael@0 47 * T indicates the type of tree elements, Comparator must have a static
michael@0 48 * compare(const T&, const T&) method ordering the elements. The compare
michael@0 49 * method must be free from side effects.
michael@0 50 */
michael@0 51 template<typename T, class Comparator>
michael@0 52 class SplayTree
michael@0 53 {
michael@0 54 T* root;
michael@0 55
michael@0 56 public:
michael@0 57 SplayTree()
michael@0 58 : root(nullptr)
michael@0 59 {}
michael@0 60
michael@0 61 bool empty() const {
michael@0 62 return !root;
michael@0 63 }
michael@0 64
michael@0 65 T* find(const T& v)
michael@0 66 {
michael@0 67 if (empty())
michael@0 68 return nullptr;
michael@0 69
michael@0 70 T* last = lookup(v);
michael@0 71 splay(last);
michael@0 72 checkCoherency(root, nullptr);
michael@0 73 return Comparator::compare(v, *last) == 0 ? last : nullptr;
michael@0 74 }
michael@0 75
michael@0 76 bool insert(T* v)
michael@0 77 {
michael@0 78 MOZ_ASSERT(!find(*v), "Duplicate elements are not allowed.");
michael@0 79
michael@0 80 if (!root) {
michael@0 81 root = v;
michael@0 82 return true;
michael@0 83 }
michael@0 84 T* last = lookup(*v);
michael@0 85 int cmp = Comparator::compare(*v, *last);
michael@0 86
michael@0 87 T** parentPointer = (cmp < 0) ? &last->left : &last->right;
michael@0 88 MOZ_ASSERT(!*parentPointer);
michael@0 89 *parentPointer = v;
michael@0 90 v->parent = last;
michael@0 91
michael@0 92 splay(v);
michael@0 93 checkCoherency(root, nullptr);
michael@0 94 return true;
michael@0 95 }
michael@0 96
michael@0 97 T* remove(const T& v)
michael@0 98 {
michael@0 99 T* last = lookup(v);
michael@0 100 MOZ_ASSERT(last, "This tree must contain the element being removed.");
michael@0 101 MOZ_ASSERT(Comparator::compare(v, *last) == 0);
michael@0 102
michael@0 103 // Splay the tree so that the item to remove is the root.
michael@0 104 splay(last);
michael@0 105 MOZ_ASSERT(last == root);
michael@0 106
michael@0 107 // Find another node which can be swapped in for the root: either the
michael@0 108 // rightmost child of the root's left, or the leftmost child of the
michael@0 109 // root's right.
michael@0 110 T* swap;
michael@0 111 T* swapChild;
michael@0 112 if (root->left) {
michael@0 113 swap = root->left;
michael@0 114 while (swap->right)
michael@0 115 swap = swap->right;
michael@0 116 swapChild = swap->left;
michael@0 117 } else if (root->right) {
michael@0 118 swap = root->right;
michael@0 119 while (swap->left)
michael@0 120 swap = swap->left;
michael@0 121 swapChild = swap->right;
michael@0 122 } else {
michael@0 123 T* result = root;
michael@0 124 root = nullptr;
michael@0 125 return result;
michael@0 126 }
michael@0 127
michael@0 128 // The selected node has at most one child, in swapChild. Detach it
michael@0 129 // from the subtree by replacing it with that child.
michael@0 130 if (swap == swap->parent->left)
michael@0 131 swap->parent->left = swapChild;
michael@0 132 else
michael@0 133 swap->parent->right = swapChild;
michael@0 134 if (swapChild)
michael@0 135 swapChild->parent = swap->parent;
michael@0 136
michael@0 137 // Make the selected node the new root.
michael@0 138 root = swap;
michael@0 139 root->parent = nullptr;
michael@0 140 root->left = last->left;
michael@0 141 root->right = last->right;
michael@0 142 if (root->left) {
michael@0 143 root->left->parent = root;
michael@0 144 }
michael@0 145 if (root->right) {
michael@0 146 root->right->parent = root;
michael@0 147 }
michael@0 148
michael@0 149 checkCoherency(root, nullptr);
michael@0 150 return last;
michael@0 151 }
michael@0 152
michael@0 153 T* removeMin()
michael@0 154 {
michael@0 155 MOZ_ASSERT(root, "No min to remove!");
michael@0 156
michael@0 157 T* min = root;
michael@0 158 while (min->left)
michael@0 159 min = min->left;
michael@0 160 return remove(*min);
michael@0 161 }
michael@0 162
michael@0 163 private:
michael@0 164 /**
michael@0 165 * Returns the node in this comparing equal to |v|, or a node just greater or
michael@0 166 * just less than |v| if there is no such node.
michael@0 167 */
michael@0 168 T* lookup(const T& v)
michael@0 169 {
michael@0 170 MOZ_ASSERT(!empty());
michael@0 171
michael@0 172 T* node = root;
michael@0 173 T* parent;
michael@0 174 do {
michael@0 175 parent = node;
michael@0 176 int c = Comparator::compare(v, *node);
michael@0 177 if (c == 0)
michael@0 178 return node;
michael@0 179 else if (c < 0)
michael@0 180 node = node->left;
michael@0 181 else
michael@0 182 node = node->right;
michael@0 183 } while (node);
michael@0 184 return parent;
michael@0 185 }
michael@0 186
michael@0 187 /**
michael@0 188 * Rotate the tree until |node| is at the root of the tree. Performing
michael@0 189 * the rotations in this fashion preserves the amortized balancing of
michael@0 190 * the tree.
michael@0 191 */
michael@0 192 void splay(T* node)
michael@0 193 {
michael@0 194 MOZ_ASSERT(node);
michael@0 195
michael@0 196 while (node != root) {
michael@0 197 T* parent = node->parent;
michael@0 198 if (parent == root) {
michael@0 199 // Zig rotation.
michael@0 200 rotate(node);
michael@0 201 MOZ_ASSERT(node == root);
michael@0 202 return;
michael@0 203 }
michael@0 204 T* grandparent = parent->parent;
michael@0 205 if ((parent->left == node) == (grandparent->left == parent)) {
michael@0 206 // Zig-zig rotation.
michael@0 207 rotate(parent);
michael@0 208 rotate(node);
michael@0 209 } else {
michael@0 210 // Zig-zag rotation.
michael@0 211 rotate(node);
michael@0 212 rotate(node);
michael@0 213 }
michael@0 214 }
michael@0 215 }
michael@0 216
michael@0 217 void rotate(T* node)
michael@0 218 {
michael@0 219 // Rearrange nodes so that node becomes the parent of its current
michael@0 220 // parent, while preserving the sortedness of the tree.
michael@0 221 T* parent = node->parent;
michael@0 222 if (parent->left == node) {
michael@0 223 // x y
michael@0 224 // y c ==> a x
michael@0 225 // a b b c
michael@0 226 parent->left = node->right;
michael@0 227 if (node->right)
michael@0 228 node->right->parent = parent;
michael@0 229 node->right = parent;
michael@0 230 } else {
michael@0 231 MOZ_ASSERT(parent->right == node);
michael@0 232 // x y
michael@0 233 // a y ==> x c
michael@0 234 // b c a b
michael@0 235 parent->right = node->left;
michael@0 236 if (node->left)
michael@0 237 node->left->parent = parent;
michael@0 238 node->left = parent;
michael@0 239 }
michael@0 240 node->parent = parent->parent;
michael@0 241 parent->parent = node;
michael@0 242 if (T* grandparent = node->parent) {
michael@0 243 if (grandparent->left == parent)
michael@0 244 grandparent->left = node;
michael@0 245 else
michael@0 246 grandparent->right = node;
michael@0 247 } else {
michael@0 248 root = node;
michael@0 249 }
michael@0 250 }
michael@0 251
michael@0 252 T* checkCoherency(T* node, T* minimum)
michael@0 253 {
michael@0 254 #ifdef DEBUG
michael@0 255 MOZ_ASSERT_IF(root, !root->parent);
michael@0 256 if (!node) {
michael@0 257 MOZ_ASSERT(!root);
michael@0 258 return nullptr;
michael@0 259 }
michael@0 260 MOZ_ASSERT_IF(!node->parent, node == root);
michael@0 261 MOZ_ASSERT_IF(minimum, Comparator::compare(*minimum, *node) < 0);
michael@0 262 if (node->left) {
michael@0 263 MOZ_ASSERT(node->left->parent == node);
michael@0 264 T* leftMaximum = checkCoherency(node->left, minimum);
michael@0 265 MOZ_ASSERT(Comparator::compare(*leftMaximum, *node) < 0);
michael@0 266 }
michael@0 267 if (node->right) {
michael@0 268 MOZ_ASSERT(node->right->parent == node);
michael@0 269 return checkCoherency(node->right, node);
michael@0 270 }
michael@0 271 return node;
michael@0 272 #else
michael@0 273 return nullptr;
michael@0 274 #endif
michael@0 275 }
michael@0 276
michael@0 277 SplayTree(const SplayTree&) MOZ_DELETE;
michael@0 278 void operator=(const SplayTree&) MOZ_DELETE;
michael@0 279 };
michael@0 280
michael@0 281 } /* namespace mozilla */
michael@0 282
michael@0 283 #endif /* mozilla_SplayTree_h */

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