Index: benchmarks/spinning-balls/splay-tree.js |
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+// Copyright 2011 the V8 project authors. All rights reserved. |
+// Redistribution and use in source and binary forms, with or without |
+// modification, are permitted provided that the following conditions are |
+// met: |
+// |
+// * Redistributions of source code must retain the above copyright |
+// notice, this list of conditions and the following disclaimer. |
+// * Redistributions in binary form must reproduce the above |
+// copyright notice, this list of conditions and the following |
+// disclaimer in the documentation and/or other materials provided |
+// with the distribution. |
+// * Neither the name of Google Inc. nor the names of its |
+// contributors may be used to endorse or promote products derived |
+// from this software without specific prior written permission. |
+// |
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS |
+// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT |
+// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR |
+// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT |
+// OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, |
+// SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT |
+// LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, |
+// DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY |
+// THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT |
+// (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE |
+// OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. |
+ |
+/** |
+ * Constructs a Splay tree. A splay tree is a self-balancing binary |
+ * search tree with the additional property that recently accessed |
+ * elements are quick to access again. It performs basic operations |
+ * such as insertion, look-up and removal in O(log(n)) amortized time. |
+ * |
+ * @constructor |
+ */ |
+function SplayTree() { |
+}; |
+ |
+ |
+/** |
+ * Pointer to the root node of the tree. |
+ * |
+ * @type {SplayTree.Node} |
+ * @private |
+ */ |
+SplayTree.prototype.root_ = null; |
+ |
+ |
+/** |
+ * @return {boolean} Whether the tree is empty. |
+ */ |
+SplayTree.prototype.isEmpty = function() { |
+ return !this.root_; |
+}; |
+ |
+ |
+/** |
+ * Inserts a node into the tree with the specified key and value if |
+ * the tree does not already contain a node with the specified key. If |
+ * the value is inserted, it becomes the root of the tree. |
+ * |
+ * @param {number} key Key to insert into the tree. |
+ * @param {*} value Value to insert into the tree. |
+ */ |
+SplayTree.prototype.insert = function(key, value) { |
+ if (this.isEmpty()) { |
+ this.root_ = new SplayTree.Node(key, value); |
+ return; |
+ } |
+ // Splay on the key to move the last node on the search path for |
+ // the key to the root of the tree. |
+ this.splay_(key); |
+ if (this.root_.key == key) { |
+ return; |
+ } |
+ var node = new SplayTree.Node(key, value); |
+ if (key > this.root_.key) { |
+ node.left = this.root_; |
+ node.right = this.root_.right; |
+ this.root_.right = null; |
+ } else { |
+ node.right = this.root_; |
+ node.left = this.root_.left; |
+ this.root_.left = null; |
+ } |
+ this.root_ = node; |
+}; |
+ |
+ |
+/** |
+ * Removes a node with the specified key from the tree if the tree |
+ * contains a node with this key. The removed node is returned. If the |
+ * key is not found, an exception is thrown. |
+ * |
+ * @param {number} key Key to find and remove from the tree. |
+ * @return {SplayTree.Node} The removed node. |
+ */ |
+SplayTree.prototype.remove = function(key) { |
+ if (this.isEmpty()) { |
+ throw Error('Key not found: ' + key); |
+ } |
+ this.splay_(key); |
+ if (this.root_.key != key) { |
+ throw Error('Key not found: ' + key); |
+ } |
+ var removed = this.root_; |
+ if (!this.root_.left) { |
+ this.root_ = this.root_.right; |
+ } else { |
+ var right = this.root_.right; |
+ this.root_ = this.root_.left; |
+ // Splay to make sure that the new root has an empty right child. |
+ this.splay_(key); |
+ // Insert the original right child as the right child of the new |
+ // root. |
+ this.root_.right = right; |
+ } |
+ return removed; |
+}; |
+ |
+ |
+/** |
+ * Returns the node having the specified key or null if the tree doesn't contain |
+ * a node with the specified key. |
+ * |
+ * @param {number} key Key to find in the tree. |
+ * @return {SplayTree.Node} Node having the specified key. |
+ */ |
+SplayTree.prototype.find = function(key) { |
+ if (this.isEmpty()) { |
+ return null; |
+ } |
+ this.splay_(key); |
+ return this.root_.key == key ? this.root_ : null; |
+}; |
+ |
+ |
+/** |
+ * @return {SplayTree.Node} Node having the maximum key value. |
+ */ |
+SplayTree.prototype.findMax = function(opt_startNode) { |
+ if (this.isEmpty()) { |
+ return null; |
+ } |
+ var current = opt_startNode || this.root_; |
+ while (current.right) { |
+ current = current.right; |
+ } |
+ return current; |
+}; |
+ |
+ |
+/** |
+ * @return {SplayTree.Node} Node having the maximum key value that |
+ * is less than the specified key value. |
+ */ |
+SplayTree.prototype.findGreatestLessThan = function(key) { |
+ if (this.isEmpty()) { |
+ return null; |
+ } |
+ // Splay on the key to move the node with the given key or the last |
+ // node on the search path to the top of the tree. |
+ this.splay_(key); |
+ // Now the result is either the root node or the greatest node in |
+ // the left subtree. |
+ if (this.root_.key < key) { |
+ return this.root_; |
+ } else if (this.root_.left) { |
+ return this.findMax(this.root_.left); |
+ } else { |
+ return null; |
+ } |
+}; |
+ |
+ |
+/** |
+ * @return {Array<*>} An array containing all the keys of tree's nodes. |
+ */ |
+SplayTree.prototype.exportKeys = function() { |
+ var result = []; |
+ if (!this.isEmpty()) { |
+ this.root_.traverse_(function(node) { result.push(node.key); }); |
+ } |
+ return result; |
+}; |
+ |
+ |
+/** |
+ * Perform the splay operation for the given key. Moves the node with |
+ * the given key to the top of the tree. If no node has the given |
+ * key, the last node on the search path is moved to the top of the |
+ * tree. This is the simplified top-down splaying algorithm from: |
+ * "Self-adjusting Binary Search Trees" by Sleator and Tarjan |
+ * |
+ * @param {number} key Key to splay the tree on. |
+ * @private |
+ */ |
+SplayTree.prototype.splay_ = function(key) { |
+ if (this.isEmpty()) { |
+ return; |
+ } |
+ // Create a dummy node. The use of the dummy node is a bit |
+ // counter-intuitive: The right child of the dummy node will hold |
+ // the L tree of the algorithm. The left child of the dummy node |
+ // will hold the R tree of the algorithm. Using a dummy node, left |
+ // and right will always be nodes and we avoid special cases. |
+ var dummy, left, right; |
+ dummy = left = right = new SplayTree.Node(null, null); |
+ var current = this.root_; |
+ while (true) { |
+ if (key < current.key) { |
+ if (!current.left) { |
+ break; |
+ } |
+ if (key < current.left.key) { |
+ // Rotate right. |
+ var tmp = current.left; |
+ current.left = tmp.right; |
+ tmp.right = current; |
+ current = tmp; |
+ if (!current.left) { |
+ break; |
+ } |
+ } |
+ // Link right. |
+ right.left = current; |
+ right = current; |
+ current = current.left; |
+ } else if (key > current.key) { |
+ if (!current.right) { |
+ break; |
+ } |
+ if (key > current.right.key) { |
+ // Rotate left. |
+ var tmp = current.right; |
+ current.right = tmp.left; |
+ tmp.left = current; |
+ current = tmp; |
+ if (!current.right) { |
+ break; |
+ } |
+ } |
+ // Link left. |
+ left.right = current; |
+ left = current; |
+ current = current.right; |
+ } else { |
+ break; |
+ } |
+ } |
+ // Assemble. |
+ left.right = current.left; |
+ right.left = current.right; |
+ current.left = dummy.right; |
+ current.right = dummy.left; |
+ this.root_ = current; |
+}; |
+ |
+ |
+/** |
+ * Constructs a Splay tree node. |
+ * |
+ * @param {number} key Key. |
+ * @param {*} value Value. |
+ */ |
+SplayTree.Node = function(key, value) { |
+ this.key = key; |
+ this.value = value; |
+}; |
+ |
+ |
+/** |
+ * @type {SplayTree.Node} |
+ */ |
+SplayTree.Node.prototype.left = null; |
+ |
+ |
+/** |
+ * @type {SplayTree.Node} |
+ */ |
+SplayTree.Node.prototype.right = null; |
+ |
+ |
+/** |
+ * Performs an ordered traversal of the subtree starting at |
+ * this SplayTree.Node. |
+ * |
+ * @param {function(SplayTree.Node)} f Visitor function. |
+ * @private |
+ */ |
+SplayTree.Node.prototype.traverse_ = function(f) { |
+ var current = this; |
+ while (current) { |
+ var left = current.left; |
+ if (left) left.traverse_(f); |
+ f(current); |
+ current = current.right; |
+ } |
+}; |
+ |
+SplayTree.prototype.traverseBreadthFirst = function (f) { |
+ if (f(this.root_.value)) return; |
+ |
+ var stack = [this.root_]; |
+ var length = 1; |
+ |
+ while (length > 0) { |
+ var new_stack = new Array(stack.length * 2); |
+ var new_length = 0; |
+ for (var i = 0; i < length; i++) { |
+ var n = stack[i]; |
+ var l = n.left; |
+ var r = n.right; |
+ if (l) { |
+ if (f(l.value)) return; |
+ new_stack[new_length++] = l; |
+ } |
+ if (r) { |
+ if (f(r.value)) return; |
+ new_stack[new_length++] = r; |
+ } |
+ } |
+ stack = new_stack; |
+ length = new_length; |
+ } |
+}; |