1223 行
33 KiB
JavaScript
1223 行
33 KiB
JavaScript
// Copyright 2011 David Galles, University of San Francisco. All rights reserved.
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//
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// Redistribution and use in source and binary forms, with or without modification, are
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// permitted provided that the following conditions are met:
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//
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// 1. Redistributions of source code must retain the above copyright notice, this list of
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// conditions and the following disclaimer.
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//
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// 2. Redistributions in binary form must reproduce the above copyright notice, this list
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// of conditions and the following disclaimer in the documentation and/or other materials
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// provided with the distribution.
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//
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// THIS SOFTWARE IS PROVIDED BY <COPYRIGHT HOLDER> ``AS IS'' AND ANY EXPRESS OR IMPLIED
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// WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND
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// FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL <COPYRIGHT HOLDER> OR
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// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
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// CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
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// SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
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// ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
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// NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF
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// ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
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//
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// The views and conclusions contained in the software and documentation are those of the
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// authors and should not be interpreted as representing official policies, either expressed
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// or implied, of the University of San Francisco
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function AVL(am, w, h)
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{
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this.init(am, w, h);
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}
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AVL.prototype = new Algorithm();
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AVL.prototype.constructor = AVL;
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AVL.superclass = Algorithm.prototype;
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// Various constants
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AVL.HIGHLIGHT_LABEL_COLOR = "#FF0000"
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AVL.HIGHLIGHT_LINK_COLOR = "#FF0000"
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AVL.HIGHLIGHT_COLOR = "#007700"
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AVL.HEIGHT_LABEL_COLOR = "#007700"
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AVL.LINK_COLOR = "#007700";
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AVL.HIGHLIGHT_CIRCLE_COLOR = "#007700";
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AVL.FOREGROUND_COLOR = "0x007700";
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AVL.BACKGROUND_COLOR = "#DDFFDD";
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AVL.PRINT_COLOR = AVL.FOREGROUND_COLOR;
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AVL.WIDTH_DELTA = 50;
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AVL.HEIGHT_DELTA = 50;
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AVL.STARTING_Y = 50;
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AVL.FIRST_PRINT_POS_X = 50;
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AVL.PRINT_VERTICAL_GAP = 20;
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AVL.PRINT_HORIZONTAL_GAP = 50;
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AVL.EXPLANITORY_TEXT_X = 10;
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AVL.EXPLANITORY_TEXT_Y = 10;
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AVL.prototype.init = function(am, w, h)
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{
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var sc = AVL.superclass;
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var fn = sc.init;
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this.first_print_pos_y = h - 2 * AVL.PRINT_VERTICAL_GAP;
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this.print_max = w - 10;
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fn.call(this, am, w, h);
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this.startingX = w / 2;
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this.addControls();
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this.nextIndex = 1;
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this.commands = [];
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this.cmd("CreateLabel", 0, "", AVL.EXPLANITORY_TEXT_X, AVL.EXPLANITORY_TEXT_Y, 0);
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this.animationManager.StartNewAnimation(this.commands);
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this.animationManager.skipForward();
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this.animationManager.clearHistory();
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}
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AVL.prototype.addControls = function()
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{
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this.insertField = addControlToAlgorithmBar("Text", "");
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this.insertField.onkeydown = this.returnSubmit(this.insertField, this.insertCallback.bind(this), 4);
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this.insertButton = addControlToAlgorithmBar("Button", "添加");
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this.insertButton.onclick = this.insertCallback.bind(this);
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this.deleteField = addControlToAlgorithmBar("Text", "");
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this.deleteField.onkeydown = this.returnSubmit(this.deleteField, this.deleteCallback.bind(this), 4);
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this.deleteButton = addControlToAlgorithmBar("Button", "删除");
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this.deleteButton.onclick = this.deleteCallback.bind(this);
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this.findField = addControlToAlgorithmBar("Text", "");
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this.findField.onkeydown = this.returnSubmit(this.findField, this.findCallback.bind(this), 4);
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this.findButton = addControlToAlgorithmBar("Button", "搜索");
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this.findButton.onclick = this.findCallback.bind(this);
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this.printButton = addControlToAlgorithmBar("Button", "打印");
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this.printButton.onclick = this.printCallback.bind(this);
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}
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AVL.prototype.reset = function()
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{
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this.nextIndex = 1;
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this.treeRoot = null;
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}
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AVL.prototype.insertCallback = function(event)
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{
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var insertedValue = this.insertField.value;
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// Get text value
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insertedValue = this.normalizeNumber(insertedValue, 4);
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if (insertedValue != "")
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{
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// set text value
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this.insertField.value = "";
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this.implementAction(this.insertElement.bind(this), insertedValue);
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}
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}
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AVL.prototype.deleteCallback = function(event)
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{
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var deletedValue = this.deleteField.value;
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if (deletedValue != "")
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{
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deletedValue = this.normalizeNumber(deletedValue, 4);
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this.deleteField.value = "";
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this.implementAction(this.deleteElement.bind(this),deletedValue);
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}
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}
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AVL.prototype.findCallback = function(event)
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{
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var findValue = this.findField.value;
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if (findValue != "")
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{
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findValue = this.normalizeNumber(findValue, 4);
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this.findField.value = "";
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this.implementAction(this.findElement.bind(this),findValue);
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}
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}
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AVL.prototype.printCallback = function(event)
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{
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this.implementAction(this.printTree.bind(this),"");
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}
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AVL.prototype.sizeChanged = function(newWidth, newHeight)
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{
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this.startingX = newWidth / 2;
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}
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AVL.prototype.printTree = function(unused)
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{
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this.commands = [];
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if (this.treeRoot != null)
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{
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this.highlightID = this.nextIndex++;
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var firstLabel = this.nextIndex;
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this.cmd("CreateHighlightCircle", this.highlightID, AVL.HIGHLIGHT_COLOR, this.treeRoot.x, this.treeRoot.y);
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this.xPosOfNextLabel = AVL.FIRST_PRINT_POS_X;
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this.yPosOfNextLabel = this.first_print_pos_y;
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this.printTreeRec(this.treeRoot);
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this.cmd("Delete",this.highlightID);
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this.cmd("Step");
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for (var i = firstLabel; i < this.nextIndex; i++)
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this.cmd("Delete", i);
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this.nextIndex = this.highlightID; /// Reuse objects. Not necessary.
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}
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return this.commands;
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}
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AVL.prototype.printTreeRec = function(tree)
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{
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this.cmd("Step");
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if (tree.left != null)
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{
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this.cmd("Move", this.highlightID, tree.left.x, tree.left.y);
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this.printTreeRec(tree.left);
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this.cmd("Move", this.highlightID, tree.x, tree.y);
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this.cmd("Step");
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}
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var nextLabelID = this.nextIndex++;
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this.cmd("CreateLabel", nextLabelID, tree.data, tree.x, tree.y);
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this.cmd("SetForegroundColor", nextLabelID, AVL.PRINT_COLOR);
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this.cmd("Move", nextLabelID, this.xPosOfNextLabel, this.yPosOfNextLabel);
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this.cmd("Step");
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this.xPosOfNextLabel += AVL.PRINT_HORIZONTAL_GAP;
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if (this.xPosOfNextLabel > this.print_max)
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{
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this.xPosOfNextLabel = AVL.FIRST_PRINT_POS_X;
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this.yPosOfNextLabel += AVL.PRINT_VERTICAL_GAP;
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}
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if (tree.right != null)
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{
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this.cmd("Move", this.highlightID, tree.right.x, tree.right.y);
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this.printTreeRec(tree.right);
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this.cmd("Move", this.highlightID, tree.x, tree.y);
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this.cmd("Step");
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}
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return;
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}
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AVL.prototype.findElement = function(findValue)
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{
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this.commands = [];
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this.highlightID = this.nextIndex++;
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this.doFind(this.treeRoot, findValue);
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return this.commands;
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}
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AVL.prototype.doFind = function(tree, value)
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{
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this.cmd("SetText", 0, "Searchiing for "+value);
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if (tree != null)
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{
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this.cmd("SetHighlight", tree.graphicID, 1);
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if (tree.data == value)
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{
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this.cmd("SetText", 0, "正在搜索 "+value+"：" + value + " = " + value + " (Element found!)");
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this.cmd("Step");
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this.cmd("SetText", 0, "Found:"+value);
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this.cmd("SetHighlight", tree.graphicID, 0);
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}
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else
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{
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if (tree.data > value)
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{
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this.cmd("SetText", 0, "正在搜索 "+value+"：" + value + " < " + tree.data + " （访问左子树）");
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this.cmd("Step");
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this.cmd("SetHighlight", tree.graphicID, 0);
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if (tree.left!= null)
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{
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this.cmd("CreateHighlightCircle", this.highlightID, AVL.HIGHLIGHT_COLOR, tree.x, tree.y);
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this.cmd("Move", this.highlightID, tree.left.x, tree.left.y);
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this.cmd("Step");
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this.cmd("Delete", this.highlightID);
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}
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this.doFind(tree.left, value);
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}
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else
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{
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this.cmd("SetText", 0, " 正在搜索 "+value+"：" + value + " > " + tree.data + " （访问右子树）");
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this.cmd("Step");
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this.cmd("SetHighlight", tree.graphicID, 0);
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if (tree.right!= null)
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{
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this.cmd("CreateHighlightCircle", this.highlightID, AVL.HIGHLIGHT_COLOR, tree.x, tree.y);
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this.cmd("Move", this.highlightID, tree.right.x, tree.right.y);
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this.cmd("Step");
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this.cmd("Delete", this.highlightID);
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}
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this.doFind(tree.right, value);
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}
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}
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}
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else
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{
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this.cmd("SetText", 0, " 正在搜索 "+value+"：" + "< 空树 > (找不到元素)");
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this.cmd("Step");
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this.cmd("SetText", 0, " 正在搜索 "+value+"：" + " (找不到元素)");
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}
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}
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AVL.prototype.insertElement = function(insertedValue)
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{
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this.commands = [];
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this.cmd("SetText", 0, " 正在添加 "+insertedValue);
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if (this.treeRoot == null)
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{
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var treeNodeID = this.nextIndex++;
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var labelID = this.nextIndex++;
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this.cmd("CreateCircle", treeNodeID, insertedValue, this.startingX, AVL.STARTING_Y);
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this.cmd("SetForegroundColor", treeNodeID, AVL.FOREGROUND_COLOR);
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this.cmd("SetBackgroundColor", treeNodeID, AVL.BACKGROUND_COLOR);
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this.cmd("CreateLabel", labelID, 1, this.startingX - 20, AVL.STARTING_Y-20);
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this.cmd("SetForegroundColor", labelID, AVL.HEIGHT_LABEL_COLOR);
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this.cmd("Step");
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this.treeRoot = new AVLNode(insertedValue, treeNodeID, labelID, this.startingX, AVL.STARTING_Y);
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this.treeRoot.height = 1;
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}
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else
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{
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treeNodeID = this.nextIndex++;
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labelID = this.nextIndex++;
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this.highlightID = this.nextIndex++;
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this.cmd("CreateCircle", treeNodeID, insertedValue, 30, AVL.STARTING_Y);
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this.cmd("SetForegroundColor", treeNodeID, AVL.FOREGROUND_COLOR);
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this.cmd("SetBackgroundColor", treeNodeID, AVL.BACKGROUND_COLOR);
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this.cmd("CreateLabel", labelID, "", 100-20, 100-20);
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this.cmd("SetForegroundColor", labelID, AVL.HEIGHT_LABEL_COLOR);
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this.cmd("Step");
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var insertElem = new AVLNode(insertedValue, treeNodeID, labelID, 100, 100)
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this.cmd("SetHighlight", insertElem.graphicID, 1);
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insertElem.height = 1;
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this.insert(insertElem, this.treeRoot);
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// this.resizeTree();
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}
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this.cmd("SetText", 0, " ");
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return this.commands;
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}
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AVL.prototype.singleRotateRight = function(tree)
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{
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var B = tree;
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var t3 = B.right;
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var A = tree.left;
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var t1 = A.left;
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var t2 = A.right;
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this.cmd("SetText", 0, "右单旋");
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this.cmd("SetEdgeHighlight", B.graphicID, A.graphicID, 1);
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this.cmd("Step");
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if (t2 != null)
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{
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this.cmd("Disconnect", A.graphicID, t2.graphicID);
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this.cmd("Connect", B.graphicID, t2.graphicID, AVL.LINK_COLOR);
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t2.parent = B;
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}
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this.cmd("Disconnect", B.graphicID, A.graphicID);
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this.cmd("Connect", A.graphicID, B.graphicID, AVL.LINK_COLOR);
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A.parent = B.parent;
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if (this.treeRoot == B)
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{
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this.treeRoot = A;
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}
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else
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{
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this.cmd("Disconnect", B.parent.graphicID, B.graphicID, AVL.LINK_COLOR);
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this.cmd("Connect", B.parent.graphicID, A.graphicID, AVL.LINK_COLOR)
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if (B.isLeftChild())
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{
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B.parent.left = A;
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}
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else
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{
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B.parent.right = A;
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}
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}
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A.right = B;
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B.parent = A;
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B.left = t2;
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this. resetHeight(B);
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this. resetHeight(A);
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this.resizeTree();
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}
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AVL.prototype.singleRotateLeft = function(tree)
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{
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var A = tree;
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var B = tree.right;
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var t1 = A.left;
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var t2 = B.left;
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var t3 = B.right;
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this.cmd("SetText", 0, "左单旋");
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this.cmd("SetEdgeHighlight", A.graphicID, B.graphicID, 1);
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this.cmd("Step");
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if (t2 != null)
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{
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this.cmd("Disconnect", B.graphicID, t2.graphicID);
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this.cmd("Connect", A.graphicID, t2.graphicID, AVL.LINK_COLOR);
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t2.parent = A;
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}
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this.cmd("Disconnect", A.graphicID, B.graphicID);
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this.cmd("Connect", B.graphicID, A.graphicID, AVL.LINK_COLOR);
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B.parent = A.parent;
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if (this.treeRoot == A)
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{
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this.treeRoot = B;
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}
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else
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{
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this.cmd("Disconnect", A.parent.graphicID, A.graphicID, AVL.LINK_COLOR);
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this.cmd("Connect", A.parent.graphicID, B.graphicID, AVL.LINK_COLOR)
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if (A.isLeftChild())
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{
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A.parent.left = B;
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}
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else
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{
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A.parent.right = B;
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}
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}
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B.left = A;
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A.parent = B;
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A.right = t2;
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this. resetHeight(A);
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this. resetHeight(B);
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this.resizeTree();
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}
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AVL.prototype.getHeight = function(tree)
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{
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if (tree == null)
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{
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return 0;
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}
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return tree.height;
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}
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AVL.prototype.resetHeight = function(tree)
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{
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if (tree != null)
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{
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var newHeight = Math.max(this.getHeight(tree.left), this.getHeight(tree.right)) + 1;
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if (tree.height != newHeight)
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{
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tree.height = Math.max(this.getHeight(tree.left), this.getHeight(tree.right)) + 1
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this.cmd("SetText",tree.heightLabelID, newHeight);
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// this.cmd("SetText",tree.heightLabelID, newHeight);
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}
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}
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}
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AVL.prototype.doubleRotateRight = function(tree)
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{
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this.cmd("SetText", 0, "Double Rotate Right");
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var A = tree.left;
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var B = tree.left.right;
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var C = tree;
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var t1 = A.left;
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var t2 = B.left;
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var t3 = B.right;
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var t4 = C.right;
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this.cmd("Disconnect", C.graphicID, A.graphicID);
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this.cmd("Disconnect", A.graphicID, B.graphicID);
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this.cmd("Connect", C.graphicID, A.graphicID, AVL.HIGHLIGHT_LINK_COLOR);
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this.cmd("Connect", A.graphicID, B.graphicID, AVL.HIGHLIGHT_LINK_COLOR);
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this.cmd("Step");
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if (t2 != null)
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{
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this.cmd("Disconnect",B.graphicID, t2.graphicID);
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t2.parent = A;
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A.right = t2;
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this.cmd("Connect", A.graphicID, t2.graphicID, AVL.LINK_COLOR);
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}
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if (t3 != null)
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{
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this.cmd("Disconnect",B.graphicID, t3.graphicID);
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t3.parent = C;
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C.left = t2;
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this.cmd("Connect", C.graphicID, t3.graphicID, AVL.LINK_COLOR);
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}
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if (C.parent == null)
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{
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B.parent = null;
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this.treeRoot = B;
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}
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else
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{
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this.cmd("Disconnect",C.parent.graphicID, C.graphicID);
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this.cmd("Connect",C.parent.graphicID, B.graphicID, AVL.LINK_COLOR);
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if (C.isLeftChild())
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{
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C.parent.left = B
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}
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else
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{
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C.parent.right = B;
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}
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B.parent = C.parent;
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C.parent = B;
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}
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this.cmd("Disconnect", C.graphicID, A.graphicID);
|
|
this.cmd("Disconnect", A.graphicID, B.graphicID);
|
|
this.cmd("Connect", B.graphicID, A.graphicID, AVL.LINK_COLOR);
|
|
this.cmd("Connect", B.graphicID, C.graphicID, AVL.LINK_COLOR);
|
|
B.left = A;
|
|
A.parent = B;
|
|
B.right=C;
|
|
C.parent=B;
|
|
A.right=t2;
|
|
C.left = t3;
|
|
this. resetHeight(A);
|
|
this. resetHeight(C);
|
|
this. resetHeight(B);
|
|
|
|
this.resizeTree();
|
|
|
|
|
|
}
|
|
|
|
AVL.prototype.doubleRotateLeft = function(tree)
|
|
{
|
|
this.cmd("SetText", 0, "Double Rotate Left");
|
|
var A = tree;
|
|
var B = tree.right.left;
|
|
var C = tree.right;
|
|
var t1 = A.left;
|
|
var t2 = B.left;
|
|
var t3 = B.right;
|
|
var t4 = C.right;
|
|
|
|
this.cmd("Disconnect", A.graphicID, C.graphicID);
|
|
this.cmd("Disconnect", C.graphicID, B.graphicID);
|
|
this.cmd("Connect", A.graphicID, C.graphicID, AVL.HIGHLIGHT_LINK_COLOR);
|
|
this.cmd("Connect", C.graphicID, B.graphicID, AVL.HIGHLIGHT_LINK_COLOR);
|
|
this.cmd("Step");
|
|
|
|
if (t2 != null)
|
|
{
|
|
this.cmd("Disconnect",B.graphicID, t2.graphicID);
|
|
t2.parent = A;
|
|
A.right = t2;
|
|
this.cmd("Connect", A.graphicID, t2.graphicID, AVL.LINK_COLOR);
|
|
}
|
|
if (t3 != null)
|
|
{
|
|
this.cmd("Disconnect",B.graphicID, t3.graphicID);
|
|
t3.parent = C;
|
|
C.left = t2;
|
|
this.cmd("Connect", C.graphicID, t3.graphicID, AVL.LINK_COLOR);
|
|
}
|
|
|
|
|
|
if (A.parent == null)
|
|
{
|
|
B.parent = null;
|
|
this.treeRoot = B;
|
|
}
|
|
else
|
|
{
|
|
this.cmd("Disconnect",A.parent.graphicID, A.graphicID);
|
|
this.cmd("Connect",A.parent.graphicID, B.graphicID, AVL.LINK_COLOR);
|
|
if (A.isLeftChild())
|
|
{
|
|
A.parent.left = B
|
|
}
|
|
else
|
|
{
|
|
A.parent.right = B;
|
|
}
|
|
B.parent = A.parent;
|
|
A.parent = B;
|
|
}
|
|
this.cmd("Disconnect", A.graphicID, C.graphicID);
|
|
this.cmd("Disconnect", C.graphicID, B.graphicID);
|
|
this.cmd("Connect", B.graphicID, A.graphicID, AVL.LINK_COLOR);
|
|
this.cmd("Connect", B.graphicID, C.graphicID, AVL.LINK_COLOR);
|
|
B.left = A;
|
|
A.parent = B;
|
|
B.right=C;
|
|
C.parent=B;
|
|
A.right=t2;
|
|
C.left = t3;
|
|
this. resetHeight(A);
|
|
this. resetHeight(C);
|
|
this. resetHeight(B);
|
|
|
|
this.resizeTree();
|
|
|
|
|
|
}
|
|
|
|
AVL.prototype.insert = function(elem, tree)
|
|
{
|
|
this.cmd("SetHighlight", tree.graphicID, 1);
|
|
this.cmd("SetHighlight", elem.graphicID, 1);
|
|
|
|
if (elem.data < tree.data)
|
|
{
|
|
this.cmd("SetText", 0, elem.data + " < " + tree.data + "， 访问左子树");
|
|
}
|
|
else
|
|
{
|
|
this.cmd("SetText", 0, elem.data + " >= " + tree.data + "， 访问右子树");
|
|
}
|
|
this.cmd("Step");
|
|
this.cmd("SetHighlight", tree.graphicID , 0);
|
|
this.cmd("SetHighlight", elem.graphicID, 0);
|
|
|
|
if (elem.data < tree.data)
|
|
{
|
|
if (tree.left == null)
|
|
{
|
|
this.cmd("SetText", 0, "左子树为null，添加元素");
|
|
this.cmd("SetText",elem.heightLabelID,1);
|
|
|
|
this.cmd("SetHighlight", elem.graphicID, 0);
|
|
tree.left=elem;
|
|
elem.parent = tree;
|
|
this.cmd("Connect", tree.graphicID, elem.graphicID, AVL.LINK_COLOR);
|
|
|
|
this.resizeTree();
|
|
this.cmd("CreateHighlightCircle", this.highlightID, AVL.HIGHLIGHT_COLOR, tree.left.x, tree.left.y);
|
|
this.cmd("Move", this.highlightID, tree.x, tree.y);
|
|
this.cmd("SetText", 0, "Unwinding Recursion");
|
|
this.cmd("Step");
|
|
this.cmd("Delete", this.highlightID);
|
|
|
|
if (tree.height < tree.left.height + 1)
|
|
{
|
|
tree.height = tree.left.height + 1
|
|
this.cmd("SetText",tree.heightLabelID,tree.height);
|
|
this.cmd("SetText", 0, "更新高度值");
|
|
this.cmd("SetForegroundColor", tree.heightLabelID, AVL.HIGHLIGHT_LABEL_COLOR);
|
|
this.cmd("Step");
|
|
this.cmd("SetForegroundColor", tree.heightLabelID, AVL.HEIGHT_LABEL_COLOR);
|
|
}
|
|
}
|
|
else
|
|
{
|
|
this.cmd("CreateHighlightCircle", this.highlightID, AVL.HIGHLIGHT_COLOR, tree.x, tree.y);
|
|
this.cmd("Move", this.highlightID, tree.left.x, tree.left.y);
|
|
this.cmd("Step");
|
|
this.cmd("Delete", this.highlightID);
|
|
this.insert(elem, tree.left);
|
|
this.cmd("CreateHighlightCircle", this.highlightID, AVL.HIGHLIGHT_COLOR, tree.left.x, tree.left.y);
|
|
this.cmd("Move", this.highlightID, tree.x, tree.y);
|
|
this.cmd("SetText", 0,"Unwinding Recursion");
|
|
this.cmd("Step");
|
|
this.cmd("Delete", this.highlightID);
|
|
|
|
if (tree.height < tree.left.height + 1)
|
|
{
|
|
tree.height = tree.left.height + 1
|
|
this.cmd("SetText",tree.heightLabelID,tree.height);
|
|
this.cmd("SetText", 0, "更新高度值");
|
|
this.cmd("SetForegroundColor", tree.heightLabelID, AVL.HIGHLIGHT_LABEL_COLOR);
|
|
this.cmd("Step");
|
|
this.cmd("SetForegroundColor", tree.heightLabelID, AVL.HEIGHT_LABEL_COLOR);
|
|
|
|
}
|
|
if ((tree.right != null && tree.left.height > tree.right.height + 1) ||
|
|
(tree.right == null && tree.left.height > 1))
|
|
{
|
|
if (elem.data < tree.left.data)
|
|
{
|
|
this.singleRotateRight(tree);
|
|
}
|
|
else
|
|
{
|
|
this.doubleRotateRight(tree);
|
|
}
|
|
}
|
|
}
|
|
}
|
|
else
|
|
{
|
|
if (tree.right == null)
|
|
{
|
|
this.cmd("SetText", 0, "右子树为null，添加元素");
|
|
this.cmd("SetText", elem.heightLabelID,1);
|
|
this.cmd("SetHighlight", elem.graphicID, 0);
|
|
tree.right=elem;
|
|
elem.parent = tree;
|
|
this.cmd("Connect", tree.graphicID, elem.graphicID, AVL.LINK_COLOR);
|
|
elem.x = tree.x + AVL.WIDTH_DELTA/2;
|
|
elem.y = tree.y + AVL.HEIGHT_DELTA
|
|
this.cmd("Move", elem.graphicID, elem.x, elem.y);
|
|
|
|
this.resizeTree();
|
|
|
|
|
|
this.cmd("CreateHighlightCircle", this.highlightID, AVL.HIGHLIGHT_COLOR, tree.right.x, tree.right.y);
|
|
this.cmd("Move", this.highlightID, tree.x, tree.y);
|
|
this.cmd("SetText", 0, "Unwinding Recursion");
|
|
this.cmd("Step");
|
|
this.cmd("Delete", this.highlightID);
|
|
|
|
if (tree.height < tree.right.height + 1)
|
|
{
|
|
tree.height = tree.right.height + 1
|
|
this.cmd("SetText",tree.heightLabelID,tree.height);
|
|
this.cmd("SetText", 0, "更新高度值");
|
|
this.cmd("SetForegroundColor", tree.heightLabelID, AVL.HIGHLIGHT_LABEL_COLOR);
|
|
this.cmd("Step");
|
|
this.cmd("SetForegroundColor", tree.heightLabelID, AVL.HEIGHT_LABEL_COLOR);
|
|
}
|
|
|
|
}
|
|
else
|
|
{
|
|
this.cmd("CreateHighlightCircle", this.highlightID, AVL.HIGHLIGHT_COLOR, tree.x, tree.y);
|
|
this.cmd("Move", this.highlightID, tree.right.x, tree.right.y);
|
|
this.cmd("Step");
|
|
this.cmd("Delete", this.highlightID);
|
|
this.insert(elem, tree.right);
|
|
this.cmd("CreateHighlightCircle", this.highlightID, AVL.HIGHLIGHT_COLOR, tree.right.x, tree.right.y);
|
|
this.cmd("Move", this.highlightID, tree.x, tree.y);
|
|
this.cmd("SetText", 0, "Unwinding Recursion");
|
|
this.cmd("Step");
|
|
this.cmd("Delete", this.highlightID);
|
|
if (tree.height < tree.right.height + 1)
|
|
{
|
|
tree.height = tree.right.height + 1
|
|
this.cmd("SetText",tree.heightLabelID,tree.height);
|
|
this.cmd("SetText", 0, "更新高度值");
|
|
this.cmd("SetForegroundColor", tree.heightLabelID, AVL.HIGHLIGHT_LABEL_COLOR);
|
|
this.cmd("Step");
|
|
this.cmd("SetForegroundColor", tree.heightLabelID, AVL.HEIGHT_LABEL_COLOR);
|
|
|
|
|
|
}
|
|
if ((tree.left != null && tree.right.height > tree.left.height + 1) ||
|
|
(tree.left == null && tree.right.height > 1))
|
|
{
|
|
if (elem.data >= tree.right.data)
|
|
{
|
|
this.singleRotateLeft(tree);
|
|
}
|
|
else
|
|
{
|
|
this.doubleRotateLeft(tree);
|
|
}
|
|
}
|
|
}
|
|
}
|
|
|
|
|
|
}
|
|
|
|
AVL.prototype.deleteElement = function(deletedValue)
|
|
{
|
|
this.commands = [];
|
|
this.cmd("SetText", 0, "正在刪除 "+deletedValue);
|
|
this.cmd("Step");
|
|
this.cmd("SetText", 0, " ");
|
|
this.highlightID = this.nextIndex++;
|
|
this.treeDelete(this.treeRoot, deletedValue);
|
|
this.cmd("SetText", 0, " ");
|
|
return this.commands;
|
|
}
|
|
|
|
AVL.prototype.treeDelete = function(tree, valueToDelete)
|
|
{
|
|
var leftchild = false;
|
|
if (tree != null)
|
|
{
|
|
if (tree.parent != null)
|
|
{
|
|
leftchild = tree.parent.left == tree;
|
|
}
|
|
this.cmd("SetHighlight", tree.graphicID, 1);
|
|
if (valueToDelete < tree.data)
|
|
{
|
|
this.cmd("SetText", 0, valueToDelete + " < " + tree.data + "， 访问左子树");
|
|
}
|
|
else if (valueToDelete > tree.data)
|
|
{
|
|
this.cmd("SetText", 0, valueToDelete + " > " + tree.data + "， 访问右子树");
|
|
}
|
|
else
|
|
{
|
|
this.cmd("SetText", 0, valueToDelete + " == " + tree.data + ". Found node to delete");
|
|
}
|
|
this.cmd("Step");
|
|
this.cmd("SetHighlight", tree.graphicID, 0);
|
|
|
|
if (valueToDelete == tree.data)
|
|
{
|
|
if (tree.left == null && tree.right == null)
|
|
{
|
|
this.cmd("SetText", 0, "需要删除的是叶子节点，直接删除！");
|
|
this.cmd("Delete", tree.graphicID);
|
|
this.cmd("Delete", tree.heightLabelID);
|
|
if (leftchild && tree.parent != null)
|
|
{
|
|
tree.parent.left = null;
|
|
}
|
|
else if (tree.parent != null)
|
|
{
|
|
tree.parent.right = null;
|
|
}
|
|
else
|
|
{
|
|
this.treeRoot = null;
|
|
}
|
|
this.resizeTree();
|
|
this.cmd("Step");
|
|
|
|
}
|
|
else if (tree.left == null)
|
|
{
|
|
this.cmd("SetText", 0, "需要删除的节点没有左子树. \nSet parent of deleted node to right child of deleted node.");
|
|
if (tree.parent != null)
|
|
{
|
|
this.cmd("Disconnect", tree.parent.graphicID, tree.graphicID);
|
|
this.cmd("Connect", tree.parent.graphicID, tree.right.graphicID, AVL.LINK_COLOR);
|
|
this.cmd("Step");
|
|
this.cmd("Delete", tree.graphicID);
|
|
this.cmd("Delete", tree.heightLabelID);
|
|
if (leftchild)
|
|
{
|
|
tree.parent.left = tree.right;
|
|
}
|
|
else
|
|
{
|
|
tree.parent.right = tree.right;
|
|
}
|
|
tree.right.parent = tree.parent;
|
|
}
|
|
else
|
|
{
|
|
this.cmd("Delete", tree.graphicID);
|
|
this.cmd("Delete", tree.heightLabelID);
|
|
this.treeRoot = tree.right;
|
|
this.treeRoot.parent = null;
|
|
}
|
|
this.resizeTree();
|
|
}
|
|
else if (tree.right == null)
|
|
{
|
|
this.cmd("SetText", 0,"需要删除的节点没有右子树. \nSet parent of deleted node to left child of deleted node.");
|
|
if (tree.parent != null)
|
|
{
|
|
this.cmd("Disconnect", tree.parent.graphicID, tree.graphicID);
|
|
this.cmd("Connect", tree.parent.graphicID, tree.left.graphicID, AVL.LINK_COLOR);
|
|
this.cmd("Step");
|
|
this.cmd("Delete", tree.graphicID);
|
|
this.cmd("Delete", tree.heightLabelID);
|
|
if (leftchild)
|
|
{
|
|
tree.parent.left = tree.left;
|
|
}
|
|
else
|
|
{
|
|
tree.parent.right = tree.left;
|
|
}
|
|
tree.left.parent = tree.parent;
|
|
}
|
|
else
|
|
{
|
|
this.cmd("Delete" , tree.graphicID);
|
|
this.cmd("Delete", tree.heightLabelID);
|
|
this.treeRoot = tree.left;
|
|
this.treeRoot.parent = null;
|
|
}
|
|
this.resizeTree();
|
|
}
|
|
else // tree.left != null && tree.right != null
|
|
{
|
|
this.cmd("SetText", 0, "需要删除的节点有2棵子树. \n找到左子树中最大的节点.");
|
|
|
|
this.highlightID = this.nextIndex;
|
|
this.nextIndex += 1;
|
|
this.cmd("CreateHighlightCircle", this.highlightID, AVL.HIGHLIGHT_COLOR, tree.x, tree.y);
|
|
var tmp = tree;
|
|
tmp = tree.left;
|
|
this.cmd("Move", this.highlightID, tmp.x, tmp.y);
|
|
this.cmd("Step");
|
|
while (tmp.right != null)
|
|
{
|
|
tmp = tmp.right;
|
|
this.cmd("Move", this.highlightID, tmp.x, tmp.y);
|
|
this.cmd("Step");
|
|
}
|
|
this.cmd("SetText", tree.graphicID, " ");
|
|
var labelID = this.nextIndex;
|
|
this.nextIndex += 1;
|
|
this.cmd("CreateLabel", labelID, tmp.data, tmp.x, tmp.y);
|
|
this.cmd("SetForegroundColor", labelID, AVL.HEIGHT_LABEL_COLOR);
|
|
tree.data = tmp.data;
|
|
this.cmd("Move", labelID, tree.x, tree.y);
|
|
this.cmd("SetText", 0, "Copy largest value of left subtree into node to delete.");
|
|
|
|
this.cmd("Step");
|
|
this.cmd("SetHighlight", tree.graphicID, 0);
|
|
this.cmd("Delete", labelID);
|
|
this.cmd("SetText", tree.graphicID, tree.data);
|
|
this.cmd("Delete", this.highlightID);
|
|
this.cmd("SetText", 0, "Remove node whose value we copied.");
|
|
|
|
if (tmp.left == null)
|
|
{
|
|
if (tmp.parent != tree)
|
|
{
|
|
tmp.parent.right = null;
|
|
}
|
|
else
|
|
{
|
|
tree.left = null;
|
|
}
|
|
this.cmd("Delete", tmp.graphicID);
|
|
this.cmd("Delete", tmp.heightLabelID);
|
|
this.resizeTree();
|
|
}
|
|
else
|
|
{
|
|
this.cmd("Disconnect", tmp.parent.graphicID, tmp.graphicID);
|
|
this.cmd("Connect", tmp.parent.graphicID, tmp.left.graphicID, AVL.LINK_COLOR);
|
|
this.cmd("Step");
|
|
this.cmd("Delete", tmp.graphicID);
|
|
this.cmd("Delete", tmp.heightLabelID);
|
|
if (tmp.parent != tree)
|
|
{
|
|
tmp.parent.right = tmp.left;
|
|
tmp.left.parent = tmp.parent;
|
|
}
|
|
else
|
|
{
|
|
tree.left = tmp.left;
|
|
tmp.left.parent = tree;
|
|
}
|
|
this.resizeTree();
|
|
}
|
|
tmp = tmp.parent;
|
|
|
|
if (this.getHeight(tmp) != Math.max(this.getHeight(tmp.left), this.getHeight(tmp.right)) + 1)
|
|
{
|
|
tmp.height = Math.max(this.getHeight(tmp.left), this.getHeight(tmp.right)) + 1
|
|
this.cmd("SetText",tmp.heightLabelID,tmp.height);
|
|
this.cmd("SetText", 0, "更新高度值");
|
|
this.cmd("SetForegroundColor", tmp.heightLabelID, AVL.HIGHLIGHT_LABEL_COLOR);
|
|
this.cmd("Step");
|
|
this.cmd("SetForegroundColor", tmp.heightLabelID, AVL.HEIGHT_LABEL_COLOR);
|
|
}
|
|
|
|
|
|
|
|
while (tmp != tree)
|
|
{
|
|
var tmpPar = tmp.parent;
|
|
// TODO: Add extra animation here?
|
|
if (this.getHeight(tmp.left)- this.getHeight(tmp.right) > 1)
|
|
{
|
|
if (this.getHeight(tmp.left.right) > this.getHeight(tmp.left.left))
|
|
{
|
|
this.doubleRotateRight(tmp);
|
|
}
|
|
else
|
|
{
|
|
this.singleRotateRight(tmp);
|
|
}
|
|
}
|
|
if (tmpPar.right != null)
|
|
{
|
|
if (tmpPar == tree)
|
|
{
|
|
this.cmd("CreateHighlightCircle", this.highlightID, AVL.HIGHLIGHT_COLOR, tmpPar.left.x, tmpPar.left.y);
|
|
|
|
}
|
|
else
|
|
{
|
|
this.cmd("CreateHighlightCircle", this.highlightID, AVL.HIGHLIGHT_COLOR, tmpPar.right.x, tmpPar.right.y);
|
|
}
|
|
this.cmd("Move", this.highlightID, tmpPar.x, tmpPar.y);
|
|
this.cmd("SetText", 0, "Backing up ...");
|
|
|
|
if (this.getHeight(tmpPar) != Math.max(this.getHeight(tmpPar.left), this.getHeight(tmpPar.right)) + 1)
|
|
{
|
|
tmpPar.height = Math.max(this.getHeight(tmpPar.left), this.getHeight(tmpPar.right)) + 1
|
|
this.cmd("SetText",tmpPar.heightLabelID,tree.height);
|
|
this.cmd("SetText", 0, "更新高度值");
|
|
this.cmd("SetForegroundColor", tmpPar.heightLabelID, AVL.HIGHLIGHT_LABEL_COLOR);
|
|
this.cmd("Step");
|
|
this.cmd("SetForegroundColor", tmpPar.heightLabelID, AVL.HEIGHT_LABEL_COLOR);
|
|
}
|
|
|
|
//28,15,50,7,22,39,55,10,33,42,63,30 .
|
|
|
|
|
|
this.cmd("Step");
|
|
this.cmd("Delete", this.highlightID);
|
|
}
|
|
tmp = tmpPar;
|
|
}
|
|
if (this.getHeight(tree.right)- this.getHeight(tree.left) > 1)
|
|
{
|
|
if (this.getHeight(tree.right.left) > this.getHeight(tree.right.right))
|
|
{
|
|
this.doubleRotateLeft(tree);
|
|
}
|
|
else
|
|
{
|
|
this.singleRotateLeft(tree);
|
|
}
|
|
}
|
|
|
|
}
|
|
}
|
|
else if (valueToDelete < tree.data)
|
|
{
|
|
if (tree.left != null)
|
|
{
|
|
this.cmd("CreateHighlightCircle", this.highlightID, AVL.HIGHLIGHT_COLOR, tree.x, tree.y);
|
|
this.cmd("Move", this.highlightID, tree.left.x, tree.left.y);
|
|
this.cmd("Step");
|
|
this.cmd("Delete", this.highlightID);
|
|
}
|
|
this.treeDelete(tree.left, valueToDelete);
|
|
if (tree.left != null)
|
|
{
|
|
this.cmd("SetText", 0, "Unwinding recursion.");
|
|
this.cmd("CreateHighlightCircle", this.highlightID, AVL.HIGHLIGHT_COLOR, tree.left.x, tree.left.y);
|
|
this.cmd("Move", this.highlightID, tree.x, tree.y);
|
|
this.cmd("Step");
|
|
this.cmd("Delete", this.highlightID);
|
|
}
|
|
if (this.getHeight(tree.right)- this.getHeight(tree.left) > 1)
|
|
{
|
|
if (this.getHeight(tree.right.left) > this.getHeight(tree.right.right))
|
|
{
|
|
this.doubleRotateLeft(tree);
|
|
}
|
|
else
|
|
{
|
|
this.singleRotateLeft(tree);
|
|
}
|
|
}
|
|
if (this.getHeight(tree) != Math.max(this.getHeight(tree.left), this.getHeight(tree.right)) + 1)
|
|
{
|
|
tree.height = Math.max(this.getHeight(tree.left), this.getHeight(tree.right)) + 1
|
|
this.cmd("SetText",tree.heightLabelID,tree.height);
|
|
this.cmd("SetText", 0, "更新高度值");
|
|
this.cmd("SetForegroundColor", tree.heightLabelID, AVL.HIGHLIGHT_LABEL_COLOR);
|
|
this.cmd("Step");
|
|
this.cmd("SetForegroundColor", tree.heightLabelID, AVL.HEIGHT_LABEL_COLOR);
|
|
}
|
|
}
|
|
else
|
|
{
|
|
if (tree.right != null)
|
|
{
|
|
this.cmd("CreateHighlightCircle", this.highlightID, AVL.HIGHLIGHT_COLOR, tree.x, tree.y);
|
|
this.cmd("Move", this.highlightID, tree.right.x, tree.right.y);
|
|
this.cmd("Step");
|
|
this.cmd("Delete", this.highlightID);
|
|
}
|
|
this.treeDelete(tree.right, valueToDelete);
|
|
if (tree.right != null)
|
|
{
|
|
this.cmd("SetText", 0, "Unwinding recursion.");
|
|
this.cmd("CreateHighlightCircle", this.highlightID, AVL.HIGHLIGHT_COLOR, tree.right.x, tree.right.y);
|
|
this.cmd("Move", this.highlightID, tree.x, tree.y);
|
|
this.cmd("Step");
|
|
this.cmd("Delete", this.highlightID);
|
|
}
|
|
|
|
|
|
if (this.getHeight(tree.left)- this.getHeight(tree.right) > 1)
|
|
{
|
|
if (this.getHeight(tree.left.right) > this.getHeight(tree.left.left))
|
|
{
|
|
this.doubleRotateRight(tree);
|
|
}
|
|
else
|
|
{
|
|
this.singleRotateRight(tree);
|
|
}
|
|
}
|
|
if (this.getHeight(tree) != Math.max(this.getHeight(tree.left), this.getHeight(tree.right)) + 1)
|
|
{
|
|
tree.height = Math.max(this.getHeight(tree.left), this.getHeight(tree.right)) + 1
|
|
this.cmd("SetText",tree.heightLabelID,tree.height);
|
|
this.cmd("SetText", 0, "更新高度值");
|
|
this.cmd("SetForegroundColor", tree.heightLabelID, AVL.HIGHLIGHT_LABEL_COLOR);
|
|
this.cmd("Step");
|
|
this.cmd("SetForegroundColor", tree.heightLabelID, AVL.HEIGHT_LABEL_COLOR);
|
|
}
|
|
|
|
|
|
}
|
|
}
|
|
else
|
|
{
|
|
this.cmd("SetText", 0, "元素 "+valueToDelete+" 未找到, 无法删除");
|
|
}
|
|
|
|
}
|
|
|
|
AVL.prototype.resizeTree = function()
|
|
{
|
|
var startingPoint = this.startingX;
|
|
this.resizeWidths(this.treeRoot);
|
|
if (this.treeRoot != null)
|
|
{
|
|
if (this.treeRoot.leftWidth > startingPoint)
|
|
{
|
|
startingPoint = this.treeRoot.leftWidth;
|
|
}
|
|
else if (this.treeRoot.rightWidth > startingPoint)
|
|
{
|
|
startingPoint = Math.max(this.treeRoot.leftWidth, 2 * startingPoint - this.treeRoot.rightWidth);
|
|
}
|
|
this.setNewPositions(this.treeRoot, startingPoint, AVL.STARTING_Y, 0);
|
|
this.animateNewPositions(this.treeRoot);
|
|
this.cmd("Step");
|
|
}
|
|
|
|
}
|
|
|
|
AVL.prototype.setNewPositions = function(tree, xPosition, yPosition, side)
|
|
{
|
|
if (tree != null)
|
|
{
|
|
tree.y = yPosition;
|
|
if (side == -1)
|
|
{
|
|
xPosition = xPosition - tree.rightWidth;
|
|
tree.heightLabelX = xPosition - 20;
|
|
}
|
|
else if (side == 1)
|
|
{
|
|
xPosition = xPosition + tree.leftWidth;
|
|
tree.heightLabelX = xPosition + 20;
|
|
}
|
|
else
|
|
{
|
|
tree.heightLabelX = xPosition - 20;
|
|
}
|
|
tree.x = xPosition;
|
|
tree.heightLabelY = tree.y - 20;
|
|
this.setNewPositions(tree.left, xPosition, yPosition + AVL.HEIGHT_DELTA, -1)
|
|
this.setNewPositions(tree.right, xPosition, yPosition + AVL.HEIGHT_DELTA, 1)
|
|
}
|
|
|
|
}
|
|
AVL.prototype.animateNewPositions = function(tree)
|
|
{
|
|
if (tree != null)
|
|
{
|
|
this.cmd("Move", tree.graphicID, tree.x, tree.y);
|
|
this.cmd("Move", tree.heightLabelID, tree.heightLabelX, tree.heightLabelY);
|
|
this.animateNewPositions(tree.left);
|
|
this.animateNewPositions(tree.right);
|
|
}
|
|
}
|
|
|
|
AVL.prototype.resizeWidths = function(tree)
|
|
{
|
|
if (tree == null)
|
|
{
|
|
return 0;
|
|
}
|
|
tree.leftWidth = Math.max(this.resizeWidths(tree.left), AVL.WIDTH_DELTA / 2);
|
|
tree.rightWidth = Math.max(this.resizeWidths(tree.right), AVL.WIDTH_DELTA / 2);
|
|
return tree.leftWidth + tree.rightWidth;
|
|
}
|
|
|
|
|
|
AVL.prototype.disableUI = function(event)
|
|
{
|
|
this.insertField.disabled = true;
|
|
this.insertButton.disabled = true;
|
|
this.deleteField.disabled = true;
|
|
this.deleteButton.disabled = true;
|
|
this.findField.disabled = true;
|
|
this.findButton.disabled = true;
|
|
this.printButton.disabled = true;
|
|
}
|
|
|
|
AVL.prototype.enableUI = function(event)
|
|
{
|
|
this.insertField.disabled = false;
|
|
this.insertButton.disabled = false;
|
|
this.deleteField.disabled = false;
|
|
this.deleteButton.disabled = false;
|
|
this.findField.disabled = false;
|
|
this.findButton.disabled = false;
|
|
this.printButton.disabled = false;
|
|
}
|
|
|
|
|
|
function AVLNode(val, id, hid, initialX, initialY)
|
|
{
|
|
this.data = val;
|
|
this.x = initialX;
|
|
this.y = initialY;
|
|
this.heightLabelID= hid;
|
|
this.height = 1;
|
|
|
|
this.graphicID = id;
|
|
this.left = null;
|
|
this.right = null;
|
|
this.parent = null;
|
|
}
|
|
|
|
AVLNode.prototype.isLeftChild = function()
|
|
{
|
|
if (this. parent == null)
|
|
{
|
|
return true;
|
|
}
|
|
return this.parent.left == this;
|
|
}
|
|
|
|
|
|
|
|
|
|
var currentAlg;
|
|
|
|
function init()
|
|
{
|
|
var animManag = initCanvas();
|
|
currentAlg = new AVL(animManag, canvas.width, canvas.height);
|
|
}
|