| OLD | NEW |
| 1 // Copyright (c) 2012, the Dart project authors. Please see the AUTHORS file | 1 // Copyright (c) 2012, the Dart project authors. Please see the AUTHORS file |
| 2 // for details. All rights reserved. Use of this source code is governed by a | 2 // for details. All rights reserved. Use of this source code is governed by a |
| 3 // BSD-style license that can be found in the LICENSE file. | 3 // BSD-style license that can be found in the LICENSE file. |
| 4 | 4 |
| 5 part of dart.collection; | 5 part of dart.collection; |
| 6 | 6 |
| 7 typedef bool _Predicate<T>(T value); | 7 typedef bool _Predicate<T>(T value); |
| 8 | 8 |
| 9 /** | 9 /** |
| 10 * A node in a splay tree. It holds the sorting key and the left | 10 * A node in a splay tree. It holds the sorting key and the left |
| (...skipping 18 matching lines...) Expand all Loading... |
| 29 } | 29 } |
| 30 | 30 |
| 31 /** | 31 /** |
| 32 * A splay tree is a self-balancing binary search tree. | 32 * A splay tree is a self-balancing binary search tree. |
| 33 * | 33 * |
| 34 * It has the additional property that recently accessed elements | 34 * It has the additional property that recently accessed elements |
| 35 * are quick to access again. | 35 * are quick to access again. |
| 36 * It performs basic operations such as insertion, look-up and | 36 * It performs basic operations such as insertion, look-up and |
| 37 * removal, in O(log(n)) amortized time. | 37 * removal, in O(log(n)) amortized time. |
| 38 */ | 38 */ |
| 39 abstract class _SplayTree<K> { | 39 abstract class _SplayTree<K, Node extends _SplayTreeNode<K>> { |
| 40 // The root node of the splay tree. It will contain either the last | 40 // The root node of the splay tree. It will contain either the last |
| 41 // element inserted or the last element looked up. | 41 // element inserted or the last element looked up. |
| 42 _SplayTreeNode<K> _root; | 42 Node get _root; |
| 43 set _root(Node newValue); |
| 43 | 44 |
| 44 // The dummy node used when performing a splay on the tree. Reusing it | 45 // The dummy node used when performing a splay on the tree. Reusing it |
| 45 // avoids allocating a node each time a splay is performed. | 46 // avoids allocating a node each time a splay is performed. |
| 46 _SplayTreeNode<K> _dummy = new _SplayTreeNode<K>(null); | 47 Node get _dummy; |
| 47 | 48 |
| 48 // Number of elements in the splay tree. | 49 // Number of elements in the splay tree. |
| 49 int _count = 0; | 50 int _count = 0; |
| 50 | 51 |
| 51 /** | 52 /** |
| 52 * Counter incremented whenever the keys in the map changes. | 53 * Counter incremented whenever the keys in the map changes. |
| 53 * | 54 * |
| 54 * Used to detect concurrent modifications. | 55 * Used to detect concurrent modifications. |
| 55 */ | 56 */ |
| 56 int _modificationCount = 0; | 57 int _modificationCount = 0; |
| 57 | 58 |
| 58 /** | 59 /** |
| 59 * Counter incremented whenever the tree structure changes. | 60 * Counter incremented whenever the tree structure changes. |
| 60 * | 61 * |
| 61 * Used to detect that an in-place traversal cannot use | 62 * Used to detect that an in-place traversal cannot use |
| 62 * cached information that relies on the tree structure. | 63 * cached information that relies on the tree structure. |
| 63 */ | 64 */ |
| 64 int _splayCount = 0; | 65 int _splayCount = 0; |
| 65 | 66 |
| 67 /** The comparator that is used for this splay tree. */ |
| 68 Comparator<K> get _comparator; |
| 69 |
| 70 /** The predicate to determine that a given object is a valid key. */ |
| 71 _Predicate get _validKey; |
| 72 |
| 66 /** Comparison used to compare keys. */ | 73 /** Comparison used to compare keys. */ |
| 67 int _compare(K key1, K key2); | 74 int _compare(K key1, K key2); |
| 68 | 75 |
| 69 /** | 76 /** |
| 70 * Perform the splay operation for the given key. Moves the node with | 77 * Perform the splay operation for the given key. Moves the node with |
| 71 * the given key to the top of the tree. If no node has the given | 78 * the given key to the top of the tree. If no node has the given |
| 72 * key, the last node on the search path is moved to the top of the | 79 * key, the last node on the search path is moved to the top of the |
| 73 * tree. This is the simplified top-down splaying algorithm from: | 80 * tree. This is the simplified top-down splaying algorithm from: |
| 74 * "Self-adjusting Binary Search Trees" by Sleator and Tarjan. | 81 * "Self-adjusting Binary Search Trees" by Sleator and Tarjan. |
| 75 * | 82 * |
| 76 * Returns the result of comparing the new root of the tree to [key]. | 83 * Returns the result of comparing the new root of the tree to [key]. |
| 77 * Returns -1 if the table is empty. | 84 * Returns -1 if the table is empty. |
| 78 */ | 85 */ |
| 79 int _splay(K key) { | 86 int _splay(K key) { |
| 80 if (_root == null) return -1; | 87 if (_root == null) return -1; |
| 81 | 88 |
| 82 // The right child of the dummy node will hold | 89 // The right child of the dummy node will hold |
| 83 // the L tree of the algorithm. The left child of the dummy node | 90 // the L tree of the algorithm. The left child of the dummy node |
| 84 // will hold the R tree of the algorithm. Using a dummy node, left | 91 // will hold the R tree of the algorithm. Using a dummy node, left |
| 85 // and right will always be nodes and we avoid special cases. | 92 // and right will always be nodes and we avoid special cases. |
| 86 _SplayTreeNode<K> left = _dummy; | 93 Node left = _dummy; |
| 87 _SplayTreeNode<K> right = _dummy; | 94 Node right = _dummy; |
| 88 _SplayTreeNode<K> current = _root; | 95 Node current = _root; |
| 89 int comp; | 96 int comp; |
| 90 while (true) { | 97 while (true) { |
| 91 comp = _compare(current.key, key); | 98 comp = _compare(current.key, key); |
| 92 if (comp > 0) { | 99 if (comp > 0) { |
| 93 if (current.left == null) break; | 100 if (current.left == null) break; |
| 94 comp = _compare(current.left.key, key); | 101 comp = _compare(current.left.key, key); |
| 95 if (comp > 0) { | 102 if (comp > 0) { |
| 96 // Rotate right. | 103 // Rotate right. |
| 97 _SplayTreeNode<K> tmp = current.left; | 104 _SplayTreeNode<K> tmp = current.left; |
| 98 current.left = tmp.right; | 105 current.left = tmp.right; |
| 99 tmp.right = current; | 106 tmp.right = current; |
| 100 current = tmp; | 107 current = tmp; |
| 101 if (current.left == null) break; | 108 if (current.left == null) break; |
| 102 } | 109 } |
| 103 // Link right. | 110 // Link right. |
| 104 right.left = current; | 111 right.left = current; |
| 105 right = current; | 112 right = current; |
| 106 current = current.left; | 113 current = current.left; |
| 107 } else if (comp < 0) { | 114 } else if (comp < 0) { |
| 108 if (current.right == null) break; | 115 if (current.right == null) break; |
| 109 comp = _compare(current.right.key, key); | 116 comp = _compare(current.right.key, key); |
| 110 if (comp < 0) { | 117 if (comp < 0) { |
| 111 // Rotate left. | 118 // Rotate left. |
| 112 _SplayTreeNode<K> tmp = current.right; | 119 Node tmp = current.right; |
| 113 current.right = tmp.left; | 120 current.right = tmp.left; |
| 114 tmp.left = current; | 121 tmp.left = current; |
| 115 current = tmp; | 122 current = tmp; |
| 116 if (current.right == null) break; | 123 if (current.right == null) break; |
| 117 } | 124 } |
| 118 // Link left. | 125 // Link left. |
| 119 left.right = current; | 126 left.right = current; |
| 120 left = current; | 127 left = current; |
| 121 current = current.right; | 128 current = current.right; |
| 122 } else { | 129 } else { |
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| 133 _dummy.right = null; | 140 _dummy.right = null; |
| 134 _dummy.left = null; | 141 _dummy.left = null; |
| 135 _splayCount++; | 142 _splayCount++; |
| 136 return comp; | 143 return comp; |
| 137 } | 144 } |
| 138 | 145 |
| 139 // Emulates splaying with a key that is smaller than any in the subtree | 146 // Emulates splaying with a key that is smaller than any in the subtree |
| 140 // anchored at [node]. | 147 // anchored at [node]. |
| 141 // and that node is returned. It should replace the reference to [node] | 148 // and that node is returned. It should replace the reference to [node] |
| 142 // in any parent tree or root pointer. | 149 // in any parent tree or root pointer. |
| 143 _SplayTreeNode<K> _splayMin(_SplayTreeNode<K> node) { | 150 Node _splayMin(Node node) { |
| 144 _SplayTreeNode current = node; | 151 Node current = node; |
| 145 while (current.left != null) { | 152 while (current.left != null) { |
| 146 _SplayTreeNode left = current.left; | 153 Node left = current.left; |
| 147 current.left = left.right; | 154 current.left = left.right; |
| 148 left.right = current; | 155 left.right = current; |
| 149 current = left; | 156 current = left; |
| 150 } | 157 } |
| 151 return current; | 158 return current; |
| 152 } | 159 } |
| 153 | 160 |
| 154 // Emulates splaying with a key that is greater than any in the subtree | 161 // Emulates splaying with a key that is greater than any in the subtree |
| 155 // anchored at [node]. | 162 // anchored at [node]. |
| 156 // After this, the largest element in the tree is the root of the subtree, | 163 // After this, the largest element in the tree is the root of the subtree, |
| 157 // and that node is returned. It should replace the reference to [node] | 164 // and that node is returned. It should replace the reference to [node] |
| 158 // in any parent tree or root pointer. | 165 // in any parent tree or root pointer. |
| 159 _SplayTreeNode<K> _splayMax(_SplayTreeNode<K> node) { | 166 Node _splayMax(Node node) { |
| 160 _SplayTreeNode current = node; | 167 Node current = node; |
| 161 while (current.right != null) { | 168 while (current.right != null) { |
| 162 _SplayTreeNode right = current.right; | 169 Node right = current.right; |
| 163 current.right = right.left; | 170 current.right = right.left; |
| 164 right.left = current; | 171 right.left = current; |
| 165 current = right; | 172 current = right; |
| 166 } | 173 } |
| 167 return current; | 174 return current; |
| 168 } | 175 } |
| 169 | 176 |
| 170 _SplayTreeNode _remove(K key) { | 177 Node _remove(K key) { |
| 171 if (_root == null) return null; | 178 if (_root == null) return null; |
| 172 int comp = _splay(key); | 179 int comp = _splay(key); |
| 173 if (comp != 0) return null; | 180 if (comp != 0) return null; |
| 174 _SplayTreeNode result = _root; | 181 Node result = _root; |
| 175 _count--; | 182 _count--; |
| 176 // assert(_count >= 0); | 183 // assert(_count >= 0); |
| 177 if (_root.left == null) { | 184 if (_root.left == null) { |
| 178 _root = _root.right; | 185 _root = _root.right; |
| 179 } else { | 186 } else { |
| 180 _SplayTreeNode<K> right = _root.right; | 187 Node right = _root.right; |
| 181 // Splay to make sure that the new root has an empty right child. | 188 // Splay to make sure that the new root has an empty right child. |
| 182 _root = _splayMax(_root.left); | 189 _root = _splayMax(_root.left); |
| 183 // Insert the original right child as the right child of the new | 190 // Insert the original right child as the right child of the new |
| 184 // root. | 191 // root. |
| 185 _root.right = right; | 192 _root.right = right; |
| 186 } | 193 } |
| 187 _modificationCount++; | 194 _modificationCount++; |
| 188 return result; | 195 return result; |
| 189 } | 196 } |
| 190 | 197 |
| 191 /** | 198 /** |
| 192 * Adds a new root node with the given [key] or [value]. | 199 * Adds a new root node with the given [key] or [value]. |
| 193 * | 200 * |
| 194 * The [comp] value is the result of comparing the existing root's key | 201 * The [comp] value is the result of comparing the existing root's key |
| 195 * with key. | 202 * with key. |
| 196 */ | 203 */ |
| 197 void _addNewRoot(_SplayTreeNode<K> node, int comp) { | 204 void _addNewRoot(Node node, int comp) { |
| 198 _count++; | 205 _count++; |
| 199 _modificationCount++; | 206 _modificationCount++; |
| 200 if (_root == null) { | 207 if (_root == null) { |
| 201 _root = node; | 208 _root = node; |
| 202 return; | 209 return; |
| 203 } | 210 } |
| 204 // assert(_count >= 0); | 211 // assert(_count >= 0); |
| 205 if (comp < 0) { | 212 if (comp < 0) { |
| 206 node.left = _root; | 213 node.left = _root; |
| 207 node.right = _root.right; | 214 node.right = _root.right; |
| 208 _root.right = null; | 215 _root.right = null; |
| 209 } else { | 216 } else { |
| 210 node.right = _root; | 217 node.right = _root; |
| 211 node.left = _root.left; | 218 node.left = _root.left; |
| 212 _root.left = null; | 219 _root.left = null; |
| 213 } | 220 } |
| 214 _root = node; | 221 _root = node; |
| 215 } | 222 } |
| 216 | 223 |
| 217 _SplayTreeNode get _first { | 224 Node get _first { |
| 218 if (_root == null) return null; | 225 if (_root == null) return null; |
| 219 _root = _splayMin(_root); | 226 _root = _splayMin(_root); |
| 220 return _root; | 227 return _root; |
| 221 } | 228 } |
| 222 | 229 |
| 223 _SplayTreeNode get _last { | 230 Node get _last { |
| 224 if (_root == null) return null; | 231 if (_root == null) return null; |
| 225 _root = _splayMax(_root); | 232 _root = _splayMax(_root); |
| 226 return _root; | 233 return _root; |
| 227 } | 234 } |
| 228 | 235 |
| 229 void _clear() { | 236 void _clear() { |
| 230 _root = null; | 237 _root = null; |
| 231 _count = 0; | 238 _count = 0; |
| 232 _modificationCount++; | 239 _modificationCount++; |
| 233 } | 240 } |
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| 253 * Non-comparable objects (including `null`) will not work as keys | 260 * Non-comparable objects (including `null`) will not work as keys |
| 254 * in that case. | 261 * in that case. |
| 255 * | 262 * |
| 256 * To allow calling [operator[]], [remove] or [containsKey] with objects | 263 * To allow calling [operator[]], [remove] or [containsKey] with objects |
| 257 * that are not supported by the `compare` function, an extra `isValidKey` | 264 * that are not supported by the `compare` function, an extra `isValidKey` |
| 258 * predicate function can be supplied. This function is tested before | 265 * predicate function can be supplied. This function is tested before |
| 259 * using the `compare` function on an argument value that may not be a [K] | 266 * using the `compare` function on an argument value that may not be a [K] |
| 260 * value. If omitted, the `isValidKey` function defaults to testing if the | 267 * value. If omitted, the `isValidKey` function defaults to testing if the |
| 261 * value is a [K]. | 268 * value is a [K]. |
| 262 */ | 269 */ |
| 263 class SplayTreeMap<K, V> extends _SplayTree<K> implements Map<K, V> { | 270 class SplayTreeMap<K, V> extends _SplayTree<K, _SplayTreeMapNode<K, V>> |
| 271 implements Map<K, V> { |
| 272 _SplayTreeMapNode<K, V> _root; |
| 273 final _SplayTreeMapNode<K, V> _dummy = |
| 274 new _SplayTreeMapNode<K, V>(null, null); |
| 275 |
| 264 Comparator<K> _comparator; | 276 Comparator<K> _comparator; |
| 265 _Predicate _validKey; | 277 _Predicate _validKey; |
| 266 | 278 |
| 267 SplayTreeMap([int compare(K key1, K key2), bool isValidKey(potentialKey)]) | 279 SplayTreeMap([int compare(K key1, K key2), bool isValidKey(potentialKey)]) |
| 268 : _comparator = (compare == null) ? Comparable.compare : compare, | 280 : _comparator = compare ?? Comparable.compare as Comparator<K>, |
| 269 _validKey = (isValidKey != null) ? isValidKey : ((v) => v is K); | 281 _validKey = isValidKey ?? ((v) => v is K); |
| 270 | 282 |
| 271 /** | 283 /** |
| 272 * Creates a [SplayTreeMap] that contains all key/value pairs of [other]. | 284 * Creates a [SplayTreeMap] that contains all key/value pairs of [other]. |
| 273 */ | 285 */ |
| 274 factory SplayTreeMap.from(Map other, | 286 factory SplayTreeMap.from(Map other, |
| 275 [int compare(K key1, K key2), | 287 [int compare(K key1, K key2), |
| 276 bool isValidKey(potentialKey)]) { | 288 bool isValidKey(potentialKey)]) { |
| 277 SplayTreeMap<K, V> result = new SplayTreeMap<K, V>(compare, isValidKey); | 289 SplayTreeMap<K, V> result = new SplayTreeMap<K, V>(compare, isValidKey); |
| 278 other.forEach((k, v) { result[k] = v; }); | 290 other.forEach((k, v) { result[k as Object/*=K*/] = v as Object/*=V*/; }); |
| 279 return result; | 291 return result; |
| 280 } | 292 } |
| 281 | 293 |
| 282 /** | 294 /** |
| 283 * Creates a [SplayTreeMap] where the keys and values are computed from the | 295 * Creates a [SplayTreeMap] where the keys and values are computed from the |
| 284 * [iterable]. | 296 * [iterable]. |
| 285 * | 297 * |
| 286 * For each element of the [iterable] this constructor computes a key/value | 298 * For each element of the [iterable] this constructor computes a key/value |
| 287 * pair, by applying [key] and [value] respectively. | 299 * pair, by applying [key] and [value] respectively. |
| 288 * | 300 * |
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| 320 return map; | 332 return map; |
| 321 } | 333 } |
| 322 | 334 |
| 323 int _compare(K key1, K key2) => _comparator(key1, key2); | 335 int _compare(K key1, K key2) => _comparator(key1, key2); |
| 324 | 336 |
| 325 SplayTreeMap._internal(); | 337 SplayTreeMap._internal(); |
| 326 | 338 |
| 327 V operator [](Object key) { | 339 V operator [](Object key) { |
| 328 if (!_validKey(key)) return null; | 340 if (!_validKey(key)) return null; |
| 329 if (_root != null) { | 341 if (_root != null) { |
| 330 int comp = _splay(key); | 342 int comp = _splay(key as dynamic/*=K*/); |
| 331 if (comp == 0) { | 343 if (comp == 0) { |
| 332 _SplayTreeMapNode mapRoot = _root; | 344 return _root.value; |
| 333 return mapRoot.value; | |
| 334 } | 345 } |
| 335 } | 346 } |
| 336 return null; | 347 return null; |
| 337 } | 348 } |
| 338 | 349 |
| 339 V remove(Object key) { | 350 V remove(Object key) { |
| 340 if (!_validKey(key)) return null; | 351 if (!_validKey(key)) return null; |
| 341 _SplayTreeMapNode mapRoot = _remove(key); | 352 _SplayTreeMapNode<K, V> mapRoot = _remove(key as dynamic/*=K*/); |
| 342 if (mapRoot != null) return mapRoot.value; | 353 if (mapRoot != null) return mapRoot.value; |
| 343 return null; | 354 return null; |
| 344 } | 355 } |
| 345 | 356 |
| 346 void operator []=(K key, V value) { | 357 void operator []=(K key, V value) { |
| 347 if (key == null) throw new ArgumentError(key); | 358 if (key == null) throw new ArgumentError(key); |
| 348 // Splay on the key to move the last node on the search path for | 359 // Splay on the key to move the last node on the search path for |
| 349 // the key to the root of the tree. | 360 // the key to the root of the tree. |
| 350 int comp = _splay(key); | 361 int comp = _splay(key); |
| 351 if (comp == 0) { | 362 if (comp == 0) { |
| 352 _SplayTreeMapNode mapRoot = _root; | 363 _root.value = value; |
| 353 mapRoot.value = value; | |
| 354 return; | 364 return; |
| 355 } | 365 } |
| 356 _addNewRoot(new _SplayTreeMapNode(key, value), comp); | 366 _addNewRoot(new _SplayTreeMapNode(key, value), comp); |
| 357 } | 367 } |
| 358 | 368 |
| 359 | 369 |
| 360 V putIfAbsent(K key, V ifAbsent()) { | 370 V putIfAbsent(K key, V ifAbsent()) { |
| 361 if (key == null) throw new ArgumentError(key); | 371 if (key == null) throw new ArgumentError(key); |
| 362 int comp = _splay(key); | 372 int comp = _splay(key); |
| 363 if (comp == 0) { | 373 if (comp == 0) { |
| 364 _SplayTreeMapNode mapRoot = _root; | 374 return _root.value; |
| 365 return mapRoot.value; | |
| 366 } | 375 } |
| 367 int modificationCount = _modificationCount; | 376 int modificationCount = _modificationCount; |
| 368 int splayCount = _splayCount; | 377 int splayCount = _splayCount; |
| 369 V value = ifAbsent(); | 378 V value = ifAbsent(); |
| 370 if (modificationCount != _modificationCount) { | 379 if (modificationCount != _modificationCount) { |
| 371 throw new ConcurrentModificationError(this); | 380 throw new ConcurrentModificationError(this); |
| 372 } | 381 } |
| 373 if (splayCount != _splayCount) { | 382 if (splayCount != _splayCount) { |
| 374 comp = _splay(key); | 383 comp = _splay(key); |
| 375 // Key is still not there, otherwise _modificationCount would be changed. | 384 // Key is still not there, otherwise _modificationCount would be changed. |
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| 400 | 409 |
| 401 int get length { | 410 int get length { |
| 402 return _count; | 411 return _count; |
| 403 } | 412 } |
| 404 | 413 |
| 405 void clear() { | 414 void clear() { |
| 406 _clear(); | 415 _clear(); |
| 407 } | 416 } |
| 408 | 417 |
| 409 bool containsKey(Object key) { | 418 bool containsKey(Object key) { |
| 410 return _validKey(key) && _splay(key) == 0; | 419 return _validKey(key) && _splay(key as dynamic/*=K*/) == 0; |
| 411 } | 420 } |
| 412 | 421 |
| 413 bool containsValue(Object value) { | 422 bool containsValue(Object value) { |
| 414 bool found = false; | 423 bool found = false; |
| 415 int initialSplayCount = _splayCount; | 424 int initialSplayCount = _splayCount; |
| 416 bool visit(_SplayTreeMapNode node) { | 425 bool visit(_SplayTreeMapNode node) { |
| 417 while (node != null) { | 426 while (node != null) { |
| 418 if (node.value == value) return true; | 427 if (node.value == value) return true; |
| 419 if (initialSplayCount != _splayCount) { | 428 if (initialSplayCount != _splayCount) { |
| 420 throw new ConcurrentModificationError(this); | 429 throw new ConcurrentModificationError(this); |
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| 479 if (comp > 0) return _root.key; | 488 if (comp > 0) return _root.key; |
| 480 _SplayTreeNode<K> node = _root.right; | 489 _SplayTreeNode<K> node = _root.right; |
| 481 if (node == null) return null; | 490 if (node == null) return null; |
| 482 while (node.left != null) { | 491 while (node.left != null) { |
| 483 node = node.left; | 492 node = node.left; |
| 484 } | 493 } |
| 485 return node.key; | 494 return node.key; |
| 486 } | 495 } |
| 487 } | 496 } |
| 488 | 497 |
| 489 abstract class _SplayTreeIterator<T> implements Iterator<T> { | 498 abstract class _SplayTreeIterator<K, T> implements Iterator<T> { |
| 490 final _SplayTree _tree; | 499 final _SplayTree<K, _SplayTreeNode<K>> _tree; |
| 491 /** | 500 /** |
| 492 * Worklist of nodes to visit. | 501 * Worklist of nodes to visit. |
| 493 * | 502 * |
| 494 * These nodes have been passed over on the way down in a | 503 * These nodes have been passed over on the way down in a |
| 495 * depth-first left-to-right traversal. Visiting each node, | 504 * depth-first left-to-right traversal. Visiting each node, |
| 496 * and their right subtrees will visit the remainder of | 505 * and their right subtrees will visit the remainder of |
| 497 * the nodes of a full traversal. | 506 * the nodes of a full traversal. |
| 498 * | 507 * |
| 499 * Only valid as long as the original tree isn't reordered. | 508 * Only valid as long as the original tree isn't reordered. |
| 500 */ | 509 */ |
| 501 final List<_SplayTreeNode> _workList = <_SplayTreeNode>[]; | 510 final List<_SplayTreeNode<K>> _workList = <_SplayTreeNode<K>>[]; |
| 502 | 511 |
| 503 /** | 512 /** |
| 504 * Original modification counter of [_tree]. | 513 * Original modification counter of [_tree]. |
| 505 * | 514 * |
| 506 * Incremented on [_tree] when a key is added or removed. | 515 * Incremented on [_tree] when a key is added or removed. |
| 507 * If it changes, iteration is aborted. | 516 * If it changes, iteration is aborted. |
| 508 * | 517 * |
| 509 * Not final because some iterators may modify the tree knowingly, | 518 * Not final because some iterators may modify the tree knowingly, |
| 510 * and they update the modification count in that case. | 519 * and they update the modification count in that case. |
| 511 */ | 520 */ |
| 512 int _modificationCount; | 521 int _modificationCount; |
| 513 | 522 |
| 514 /** | 523 /** |
| 515 * Count of splay operations on [_tree] when [_workList] was built. | 524 * Count of splay operations on [_tree] when [_workList] was built. |
| 516 * | 525 * |
| 517 * If the splay count on [_tree] increases, [_workList] becomes invalid. | 526 * If the splay count on [_tree] increases, [_workList] becomes invalid. |
| 518 */ | 527 */ |
| 519 int _splayCount; | 528 int _splayCount; |
| 520 | 529 |
| 521 /** Current node. */ | 530 /** Current node. */ |
| 522 _SplayTreeNode _currentNode; | 531 _SplayTreeNode<K> _currentNode; |
| 523 | 532 |
| 524 _SplayTreeIterator(_SplayTree tree) | 533 _SplayTreeIterator(_SplayTree<K, _SplayTreeNode<K>> tree) |
| 525 : _tree = tree, | 534 : _tree = tree, |
| 526 _modificationCount = tree._modificationCount, | 535 _modificationCount = tree._modificationCount, |
| 527 _splayCount = tree._splayCount { | 536 _splayCount = tree._splayCount { |
| 528 _findLeftMostDescendent(tree._root); | 537 _findLeftMostDescendent(tree._root); |
| 529 } | 538 } |
| 530 | 539 |
| 531 _SplayTreeIterator.startAt(_SplayTree tree, var startKey) | 540 _SplayTreeIterator.startAt(_SplayTree<K, _SplayTreeNode<K>> tree, K startKey) |
| 532 : _tree = tree, | 541 : _tree = tree, |
| 533 _modificationCount = tree._modificationCount { | 542 _modificationCount = tree._modificationCount { |
| 534 if (tree._root == null) return; | 543 if (tree._root == null) return; |
| 535 int compare = tree._splay(startKey); | 544 int compare = tree._splay(startKey); |
| 536 _splayCount = tree._splayCount; | 545 _splayCount = tree._splayCount; |
| 537 if (compare < 0) { | 546 if (compare < 0) { |
| 538 // Don't include the root, start at the next element after the root. | 547 // Don't include the root, start at the next element after the root. |
| 539 _findLeftMostDescendent(tree._root.right); | 548 _findLeftMostDescendent(tree._root.right); |
| 540 } else { | 549 } else { |
| 541 _workList.add(tree._root); | 550 _workList.add(tree._root); |
| 542 } | 551 } |
| 543 } | 552 } |
| 544 | 553 |
| 545 T get current { | 554 T get current { |
| 546 if (_currentNode == null) return null; | 555 if (_currentNode == null) return null; |
| 547 return _getValue(_currentNode); | 556 return _getValue(_currentNode); |
| 548 } | 557 } |
| 549 | 558 |
| 550 void _findLeftMostDescendent(_SplayTreeNode node) { | 559 void _findLeftMostDescendent(_SplayTreeNode<K> node) { |
| 551 while (node != null) { | 560 while (node != null) { |
| 552 _workList.add(node); | 561 _workList.add(node); |
| 553 node = node.left; | 562 node = node.left; |
| 554 } | 563 } |
| 555 } | 564 } |
| 556 | 565 |
| 557 /** | 566 /** |
| 558 * Called when the tree structure of the tree has changed. | 567 * Called when the tree structure of the tree has changed. |
| 559 * | 568 * |
| 560 * This can be caused by a splay operation. | 569 * This can be caused by a splay operation. |
| 561 * If the key-set changes, iteration is aborted before getting | 570 * If the key-set changes, iteration is aborted before getting |
| 562 * here, so we know that the keys are the same as before, it's | 571 * here, so we know that the keys are the same as before, it's |
| 563 * only the tree that has been reordered. | 572 * only the tree that has been reordered. |
| 564 */ | 573 */ |
| 565 void _rebuildWorkList(_SplayTreeNode currentNode) { | 574 void _rebuildWorkList(_SplayTreeNode<K> currentNode) { |
| 566 assert(!_workList.isEmpty); | 575 assert(!_workList.isEmpty); |
| 567 _workList.clear(); | 576 _workList.clear(); |
| 568 if (currentNode == null) { | 577 if (currentNode == null) { |
| 569 _findLeftMostDescendent(_tree._root); | 578 _findLeftMostDescendent(_tree._root); |
| 570 } else { | 579 } else { |
| 571 _tree._splay(currentNode.key); | 580 _tree._splay(currentNode.key); |
| 572 _findLeftMostDescendent(_tree._root.right); | 581 _findLeftMostDescendent(_tree._root.right); |
| 573 assert(!_workList.isEmpty); | 582 assert(!_workList.isEmpty); |
| 574 } | 583 } |
| 575 } | 584 } |
| (...skipping 12 matching lines...) Expand all Loading... |
| 588 return false; | 597 return false; |
| 589 } | 598 } |
| 590 if (_tree._splayCount != _splayCount && _currentNode != null) { | 599 if (_tree._splayCount != _splayCount && _currentNode != null) { |
| 591 _rebuildWorkList(_currentNode); | 600 _rebuildWorkList(_currentNode); |
| 592 } | 601 } |
| 593 _currentNode = _workList.removeLast(); | 602 _currentNode = _workList.removeLast(); |
| 594 _findLeftMostDescendent(_currentNode.right); | 603 _findLeftMostDescendent(_currentNode.right); |
| 595 return true; | 604 return true; |
| 596 } | 605 } |
| 597 | 606 |
| 598 T _getValue(_SplayTreeNode node); | 607 T _getValue(_SplayTreeNode<K> node); |
| 599 } | 608 } |
| 600 | 609 |
| 601 class _SplayTreeKeyIterable<K> extends Iterable<K> | 610 class _SplayTreeKeyIterable<K> extends Iterable<K> |
| 602 implements EfficientLength { | 611 implements EfficientLength { |
| 603 _SplayTree<K> _tree; | 612 _SplayTree<K, _SplayTreeNode<K>> _tree; |
| 604 _SplayTreeKeyIterable(this._tree); | 613 _SplayTreeKeyIterable(this._tree); |
| 605 int get length => _tree._count; | 614 int get length => _tree._count; |
| 606 bool get isEmpty => _tree._count == 0; | 615 bool get isEmpty => _tree._count == 0; |
| 607 Iterator<K> get iterator => new _SplayTreeKeyIterator<K>(_tree); | 616 Iterator<K> get iterator => new _SplayTreeKeyIterator<K>(_tree); |
| 608 | 617 |
| 609 Set<K> toSet() { | 618 Set<K> toSet() { |
| 610 var setOrMap = _tree; // Both have _comparator and _validKey. | |
| 611 SplayTreeSet<K> set = | 619 SplayTreeSet<K> set = |
| 612 new SplayTreeSet<K>(setOrMap._comparator, setOrMap._validKey); | 620 new SplayTreeSet<K>(_tree._comparator, _tree._validKey); |
| 613 set._count = _tree._count; | 621 set._count = _tree._count; |
| 614 set._root = set._copyNode(_tree._root); | 622 set._root = set._copyNode(_tree._root); |
| 615 return set; | 623 return set; |
| 616 } | 624 } |
| 617 } | 625 } |
| 618 | 626 |
| 619 class _SplayTreeValueIterable<K, V> extends Iterable<V> | 627 class _SplayTreeValueIterable<K, V> extends Iterable<V> |
| 620 implements EfficientLength { | 628 implements EfficientLength { |
| 621 SplayTreeMap<K, V> _map; | 629 SplayTreeMap<K, V> _map; |
| 622 _SplayTreeValueIterable(this._map); | 630 _SplayTreeValueIterable(this._map); |
| 623 int get length => _map._count; | 631 int get length => _map._count; |
| 624 bool get isEmpty => _map._count == 0; | 632 bool get isEmpty => _map._count == 0; |
| 625 Iterator<V> get iterator => new _SplayTreeValueIterator<K, V>(_map); | 633 Iterator<V> get iterator => new _SplayTreeValueIterator<K, V>(_map); |
| 626 } | 634 } |
| 627 | 635 |
| 628 class _SplayTreeKeyIterator<K> extends _SplayTreeIterator<K> { | 636 class _SplayTreeKeyIterator<K> extends _SplayTreeIterator<K, K> { |
| 629 _SplayTreeKeyIterator(_SplayTree<K> map): super(map); | 637 _SplayTreeKeyIterator(_SplayTree<K, _SplayTreeNode<K>> map): super(map); |
| 630 K _getValue(_SplayTreeNode node) => node.key; | 638 K _getValue(_SplayTreeNode<K> node) => node.key; |
| 631 } | 639 } |
| 632 | 640 |
| 633 class _SplayTreeValueIterator<K, V> extends _SplayTreeIterator<V> { | 641 class _SplayTreeValueIterator<K, V> extends _SplayTreeIterator<K, V> { |
| 634 _SplayTreeValueIterator(SplayTreeMap<K, V> map): super(map); | 642 _SplayTreeValueIterator(SplayTreeMap<K, V> map): super(map); |
| 635 V _getValue(_SplayTreeMapNode node) => node.value; | 643 V _getValue(_SplayTreeNode<K> node) { |
| 644 _SplayTreeMapNode<K, V> mapNode = |
| 645 node as dynamic/*=_SplayTreeMapNode<K, V>*/; |
| 646 return mapNode.value; |
| 647 } |
| 636 } | 648 } |
| 637 | 649 |
| 638 class _SplayTreeNodeIterator<K> | 650 class _SplayTreeNodeIterator<K> |
| 639 extends _SplayTreeIterator<_SplayTreeNode<K>> { | 651 extends _SplayTreeIterator<K, _SplayTreeNode<K>> { |
| 640 _SplayTreeNodeIterator(_SplayTree<K> tree): super(tree); | 652 _SplayTreeNodeIterator(_SplayTree<K, _SplayTreeNode<K>> tree): super(tree); |
| 641 _SplayTreeNodeIterator.startAt(_SplayTree<K> tree, var startKey) | 653 _SplayTreeNodeIterator.startAt( |
| 654 _SplayTree<K, _SplayTreeNode<K>> tree, K startKey) |
| 642 : super.startAt(tree, startKey); | 655 : super.startAt(tree, startKey); |
| 643 _SplayTreeNode<K> _getValue(_SplayTreeNode node) => node; | 656 _SplayTreeNode<K> _getValue(_SplayTreeNode<K> node) => node; |
| 644 } | 657 } |
| 645 | 658 |
| 646 | 659 |
| 647 /** | 660 /** |
| 648 * A [Set] of objects that can be ordered relative to each other. | 661 * A [Set] of objects that can be ordered relative to each other. |
| 649 * | 662 * |
| 650 * The set is based on a self-balancing binary tree. It allows most operations | 663 * The set is based on a self-balancing binary tree. It allows most operations |
| 651 * in amortized logarithmic time. | 664 * in amortized logarithmic time. |
| 652 * | 665 * |
| 653 * Elements of the set are compared using the `compare` function passed in | 666 * Elements of the set are compared using the `compare` function passed in |
| 654 * the constructor, both for ordering and for equality. | 667 * the constructor, both for ordering and for equality. |
| 655 * If the set contains only an object `a`, then `set.contains(b)` | 668 * If the set contains only an object `a`, then `set.contains(b)` |
| 656 * will return `true` if and only if `compare(a, b) == 0`, | 669 * will return `true` if and only if `compare(a, b) == 0`, |
| 657 * and the value of `a == b` is not even checked. | 670 * and the value of `a == b` is not even checked. |
| 658 * If the compare function is omitted, the objects are assumed to be | 671 * If the compare function is omitted, the objects are assumed to be |
| 659 * [Comparable], and are compared using their [Comparable.compareTo] method. | 672 * [Comparable], and are compared using their [Comparable.compareTo] method. |
| 660 * Non-comparable objects (including `null`) will not work as an element | 673 * Non-comparable objects (including `null`) will not work as an element |
| 661 * in that case. | 674 * in that case. |
| 662 */ | 675 */ |
| 663 class SplayTreeSet<E> extends _SplayTree<E> with IterableMixin<E>, SetMixin<E> { | 676 class SplayTreeSet<E> extends _SplayTree<E, _SplayTreeNode<E>> |
| 664 Comparator _comparator; | 677 with IterableMixin<E>, SetMixin<E> { |
| 678 _SplayTreeNode<E> _root; |
| 679 final _SplayTreeNode<E> _dummy = new _SplayTreeNode<E>(null); |
| 680 |
| 681 Comparator<E> _comparator; |
| 665 _Predicate _validKey; | 682 _Predicate _validKey; |
| 666 | 683 |
| 667 /** | 684 /** |
| 668 * Create a new [SplayTreeSet] with the given compare function. | 685 * Create a new [SplayTreeSet] with the given compare function. |
| 669 * | 686 * |
| 670 * If the [compare] function is omitted, it defaults to [Comparable.compare], | 687 * If the [compare] function is omitted, it defaults to [Comparable.compare], |
| 671 * and the elements must be comparable. | 688 * and the elements must be comparable. |
| 672 * | 689 * |
| 673 * A provided `compare` function may not work on all objects. It may not even | 690 * A provided `compare` function may not work on all objects. It may not even |
| 674 * work on all `E` instances. | 691 * work on all `E` instances. |
| 675 * | 692 * |
| 676 * For operations that add elements to the set, the user is supposed to not | 693 * For operations that add elements to the set, the user is supposed to not |
| 677 * pass in objects that doesn't work with the compare function. | 694 * pass in objects that doesn't work with the compare function. |
| 678 * | 695 * |
| 679 * The methods [contains], [remove], [lookup], [removeAll] or [retainAll] | 696 * The methods [contains], [remove], [lookup], [removeAll] or [retainAll] |
| 680 * are typed to accept any object(s), and the [isValidKey] test can used to | 697 * are typed to accept any object(s), and the [isValidKey] test can used to |
| 681 * filter those objects before handing them to the `compare` function. | 698 * filter those objects before handing them to the `compare` function. |
| 682 * | 699 * |
| 683 * If [isValidKey] is provided, only values satisfying `isValidKey(other)` | 700 * If [isValidKey] is provided, only values satisfying `isValidKey(other)` |
| 684 * are compared using the `compare` method in the methods mentioned above. | 701 * are compared using the `compare` method in the methods mentioned above. |
| 685 * If the `isValidKey` function returns false for an object, it is assumed to | 702 * If the `isValidKey` function returns false for an object, it is assumed to |
| 686 * not be in the set. | 703 * not be in the set. |
| 687 * | 704 * |
| 688 * If omitted, the `isValidKey` function defaults to checking against the | 705 * If omitted, the `isValidKey` function defaults to checking against the |
| 689 * type parameter: `other is E`. | 706 * type parameter: `other is E`. |
| 690 */ | 707 */ |
| 691 SplayTreeSet([int compare(E key1, E key2), bool isValidKey(potentialKey)]) | 708 SplayTreeSet([int compare(E key1, E key2), bool isValidKey(potentialKey)]) |
| 692 : _comparator = (compare == null) ? Comparable.compare : compare, | 709 : _comparator = |
| 693 _validKey = (isValidKey != null) ? isValidKey : ((v) => v is E); | 710 compare ?? Comparable.compare as dynamic/*=Comparator<E>*/, |
| 711 _validKey = isValidKey ?? ((v) => v is E); |
| 694 | 712 |
| 695 /** | 713 /** |
| 696 * Creates a [SplayTreeSet] that contains all [elements]. | 714 * Creates a [SplayTreeSet] that contains all [elements]. |
| 697 * | 715 * |
| 698 * The set works as if created by `new SplayTreeSet<E>(compare, isValidKey)`. | 716 * The set works as if created by `new SplayTreeSet<E>(compare, isValidKey)`. |
| 699 * | 717 * |
| 700 * All the [elements] should be valid as arguments to the [compare] function. | 718 * All the [elements] should be valid as arguments to the [compare] function. |
| 701 */ | 719 */ |
| 702 factory SplayTreeSet.from(Iterable elements, | 720 factory SplayTreeSet.from(Iterable elements, |
| 703 [int compare(E key1, E key2), | 721 [int compare(E key1, E key2), |
| 704 bool isValidKey(potentialKey)]) { | 722 bool isValidKey(potentialKey)]) { |
| 705 SplayTreeSet<E> result = new SplayTreeSet<E>(compare, isValidKey); | 723 SplayTreeSet<E> result = new SplayTreeSet<E>(compare, isValidKey); |
| 706 for (final E element in elements) { | 724 for (final element in elements) { |
| 707 result.add(element); | 725 E e = element as Object/*=E*/; |
| 726 result.add(e); |
| 708 } | 727 } |
| 709 return result; | 728 return result; |
| 710 } | 729 } |
| 711 | 730 |
| 712 int _compare(E e1, E e2) => _comparator(e1, e2); | 731 int _compare(E e1, E e2) => _comparator(e1, e2); |
| 713 | 732 |
| 714 // From Iterable. | 733 // From Iterable. |
| 715 | 734 |
| 716 Iterator<E> get iterator => new _SplayTreeKeyIterator<E>(this); | 735 Iterator<E> get iterator => new _SplayTreeKeyIterator<E>(this); |
| 717 | 736 |
| (...skipping 12 matching lines...) Expand all Loading... |
| 730 } | 749 } |
| 731 | 750 |
| 732 E get single { | 751 E get single { |
| 733 if (_count == 0) throw IterableElementError.noElement(); | 752 if (_count == 0) throw IterableElementError.noElement(); |
| 734 if (_count > 1) throw IterableElementError.tooMany(); | 753 if (_count > 1) throw IterableElementError.tooMany(); |
| 735 return _root.key; | 754 return _root.key; |
| 736 } | 755 } |
| 737 | 756 |
| 738 // From Set. | 757 // From Set. |
| 739 bool contains(Object object) { | 758 bool contains(Object object) { |
| 740 return _validKey(object) && _splay(object) == 0; | 759 return _validKey(object) && _splay(object as dynamic/*=E*/) == 0; |
| 741 } | 760 } |
| 742 | 761 |
| 743 bool add(E element) { | 762 bool add(E element) { |
| 744 int compare = _splay(element); | 763 int compare = _splay(element); |
| 745 if (compare == 0) return false; | 764 if (compare == 0) return false; |
| 746 _addNewRoot(new _SplayTreeNode(element), compare); | 765 _addNewRoot(new _SplayTreeNode(element), compare); |
| 747 return true; | 766 return true; |
| 748 } | 767 } |
| 749 | 768 |
| 750 bool remove(Object object) { | 769 bool remove(Object object) { |
| 751 if (!_validKey(object)) return false; | 770 if (!_validKey(object)) return false; |
| 752 return _remove(object) != null; | 771 return _remove(object as dynamic/*=E*/) != null; |
| 753 } | 772 } |
| 754 | 773 |
| 755 void addAll(Iterable<E> elements) { | 774 void addAll(Iterable<E> elements) { |
| 756 for (E element in elements) { | 775 for (E element in elements) { |
| 757 int compare = _splay(element); | 776 int compare = _splay(element); |
| 758 if (compare != 0) { | 777 if (compare != 0) { |
| 759 _addNewRoot(new _SplayTreeNode(element), compare); | 778 _addNewRoot(new _SplayTreeNode(element), compare); |
| 760 } | 779 } |
| 761 } | 780 } |
| 762 } | 781 } |
| 763 | 782 |
| 764 void removeAll(Iterable<Object> elements) { | 783 void removeAll(Iterable<Object> elements) { |
| 765 for (Object element in elements) { | 784 for (Object element in elements) { |
| 766 if (_validKey(element)) _remove(element); | 785 if (_validKey(element)) _remove(element as dynamic/*=E*/); |
| 767 } | 786 } |
| 768 } | 787 } |
| 769 | 788 |
| 770 void retainAll(Iterable<Object> elements) { | 789 void retainAll(Iterable<Object> elements) { |
| 771 // Build a set with the same sense of equality as this set. | 790 // Build a set with the same sense of equality as this set. |
| 772 SplayTreeSet<E> retainSet = new SplayTreeSet<E>(_comparator, _validKey); | 791 SplayTreeSet<E> retainSet = new SplayTreeSet<E>(_comparator, _validKey); |
| 773 int modificationCount = _modificationCount; | 792 int modificationCount = _modificationCount; |
| 774 for (Object object in elements) { | 793 for (Object object in elements) { |
| 775 if (modificationCount != _modificationCount) { | 794 if (modificationCount != _modificationCount) { |
| 776 // The iterator should not have side effects. | 795 // The iterator should not have side effects. |
| 777 throw new ConcurrentModificationError(this); | 796 throw new ConcurrentModificationError(this); |
| 778 } | 797 } |
| 779 // Equivalent to this.contains(object). | 798 // Equivalent to this.contains(object). |
| 780 if (_validKey(object) && _splay(object) == 0) retainSet.add(_root.key); | 799 if (_validKey(object) && _splay(object as dynamic/*=E*/) == 0) { |
| 800 retainSet.add(_root.key); |
| 801 } |
| 781 } | 802 } |
| 782 // Take over the elements from the retained set, if it differs. | 803 // Take over the elements from the retained set, if it differs. |
| 783 if (retainSet._count != _count) { | 804 if (retainSet._count != _count) { |
| 784 _root = retainSet._root; | 805 _root = retainSet._root; |
| 785 _count = retainSet._count; | 806 _count = retainSet._count; |
| 786 _modificationCount++; | 807 _modificationCount++; |
| 787 } | 808 } |
| 788 } | 809 } |
| 789 | 810 |
| 790 E lookup(Object object) { | 811 E lookup(Object object) { |
| 791 if (!_validKey(object)) return null; | 812 if (!_validKey(object)) return null; |
| 792 int comp = _splay(object); | 813 int comp = _splay(object as dynamic/*=E*/); |
| 793 if (comp != 0) return null; | 814 if (comp != 0) return null; |
| 794 return _root.key; | 815 return _root.key; |
| 795 } | 816 } |
| 796 | 817 |
| 797 Set<E> intersection(Set<E> other) { | 818 Set<E> intersection(Set<Object> other) { |
| 798 Set<E> result = new SplayTreeSet<E>(_comparator, _validKey); | 819 Set<E> result = new SplayTreeSet<E>(_comparator, _validKey); |
| 799 for (E element in this) { | 820 for (E element in this) { |
| 800 if (other.contains(element)) result.add(element); | 821 if (other.contains(element)) result.add(element); |
| 801 } | 822 } |
| 802 return result; | 823 return result; |
| 803 } | 824 } |
| 804 | 825 |
| 805 Set<E> difference(Set<E> other) { | 826 Set<E> difference(Set<Object> other) { |
| 806 Set<E> result = new SplayTreeSet<E>(_comparator, _validKey); | 827 Set<E> result = new SplayTreeSet<E>(_comparator, _validKey); |
| 807 for (E element in this) { | 828 for (E element in this) { |
| 808 if (!other.contains(element)) result.add(element); | 829 if (!other.contains(element)) result.add(element); |
| 809 } | 830 } |
| 810 return result; | 831 return result; |
| 811 } | 832 } |
| 812 | 833 |
| 813 Set<E> union(Set<E> other) { | 834 Set<E> union(Set<E> other) { |
| 814 return _clone()..addAll(other); | 835 return _clone()..addAll(other); |
| 815 } | 836 } |
| (...skipping 12 matching lines...) Expand all Loading... |
| 828 return new _SplayTreeNode<E>(node.key)..left = _copyNode(node.left) | 849 return new _SplayTreeNode<E>(node.key)..left = _copyNode(node.left) |
| 829 ..right = _copyNode(node.right); | 850 ..right = _copyNode(node.right); |
| 830 } | 851 } |
| 831 | 852 |
| 832 void clear() { _clear(); } | 853 void clear() { _clear(); } |
| 833 | 854 |
| 834 Set<E> toSet() => _clone(); | 855 Set<E> toSet() => _clone(); |
| 835 | 856 |
| 836 String toString() => IterableBase.iterableToFullString(this, '{', '}'); | 857 String toString() => IterableBase.iterableToFullString(this, '{', '}'); |
| 837 } | 858 } |
| OLD | NEW |