675 行
19 KiB
JavaScript
675 行
19 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 David Galles ``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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// Constants.
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BST.LINK_COLOR = "#007700";
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BST.HIGHLIGHT_CIRCLE_COLOR = "#007700";
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BST.FOREGROUND_COLOR = "#007700";
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BST.BACKGROUND_COLOR = "#EEFFEE";
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BST.PRINT_COLOR = BST.FOREGROUND_COLOR;
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BST.WIDTH_DELTA = 50;
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BST.HEIGHT_DELTA = 50;
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BST.STARTING_Y = 50;
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BST.FIRST_PRINT_POS_X = 50;
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BST.PRINT_VERTICAL_GAP = 20;
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BST.PRINT_HORIZONTAL_GAP = 50;
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function BST(am, w, h)
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{
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this.init(am, w, h);
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}
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BST.prototype = new Algorithm();
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BST.prototype.constructor = BST;
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BST.superclass = Algorithm.prototype;
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BST.prototype.init = function(am, w, h)
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{
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var sc = BST.superclass;
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this.startingX = w / 2;
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this.first_print_pos_y = h - 2 * BST.PRINT_VERTICAL_GAP;
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this.print_max = w - 10;
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var fn = sc.init;
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fn.call(this,am);
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this.addControls();
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this.nextIndex = 0;
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this.commands = [];
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this.cmd("CreateLabel", 0, "", 20, 10, 0);
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this.nextIndex = 1;
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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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BST.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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BST.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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BST.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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BST.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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BST.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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BST.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, BST.HIGHLIGHT_CIRCLE_COLOR, this.treeRoot.x, this.treeRoot.y);
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this.xPosOfNextLabel = BST.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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{
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this.cmd("Delete", i);
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}
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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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BST.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, BST.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 += BST.PRINT_HORIZONTAL_GAP;
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if (this.xPosOfNextLabel > this.print_max)
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{
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this.xPosOfNextLabel = BST.FIRST_PRINT_POS_X;
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this.yPosOfNextLabel += BST.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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BST.prototype.findCallback = function(event)
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{
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var findValue;
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findValue = this.normalizeNumber(this.findField.value, 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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BST.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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BST.prototype.doFind = function(tree, value)
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{
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this.cmd("SetText", 0, "正在搜索 "+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 + " (找不到元素)");
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this.cmd("Step");
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this.cmd("SetText", 0, "已找到 :"+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, BST.HIGHLIGHT_CIRCLE_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, BST.HIGHLIGHT_CIRCLE_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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BST.prototype.insertElement = function(insertedValue)
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{
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this.commands = new Array();
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this.cmd("SetText", 0, "正在添加 "+insertedValue);
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this.highlightID = this.nextIndex++;
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if (this.treeRoot == null)
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{
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this.cmd("CreateCircle", this.nextIndex, insertedValue, this.startingX, BST.STARTING_Y);
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this.cmd("SetForegroundColor", this.nextIndex, BST.FOREGROUND_COLOR);
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this.cmd("SetBackgroundColor", this.nextIndex, BST.BACKGROUND_COLOR);
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this.cmd("Step");
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this.treeRoot = new BSTNode(insertedValue, this.nextIndex, this.startingX, BST.STARTING_Y)
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this.nextIndex += 1;
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}
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else
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{
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this.cmd("CreateCircle", this.nextIndex, insertedValue, 100, 100);
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this.cmd("SetForegroundColor", this.nextIndex, BST.FOREGROUND_COLOR);
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this.cmd("SetBackgroundColor", this.nextIndex, BST.BACKGROUND_COLOR);
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this.cmd("Step");
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var insertElem = new BSTNode(insertedValue, this.nextIndex, 100, 100)
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this.nextIndex += 1;
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this.cmd("SetHighlight", insertElem.graphicID, 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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BST.prototype.insert = function(elem, tree)
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{
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this.cmd("SetHighlight", tree.graphicID , 1);
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this.cmd("SetHighlight", elem.graphicID , 1);
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if (elem.data < tree.data)
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{
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this.cmd("SetText", 0, elem.data + " < " + tree.data + "，访问左子树");
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}
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else
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{
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this.cmd("SetText", 0, elem.data + " >= " + tree.data + "，访问右子树");
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}
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this.cmd("Step");
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this.cmd("SetHighlight", tree.graphicID, 0);
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this.cmd("SetHighlight", elem.graphicID, 0);
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if (elem.data < tree.data)
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{
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if (tree.left == null)
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{
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this.cmd("SetText", 0, "左子树为null，添加元素");
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this.cmd("SetHighlight", elem.graphicID, 0);
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tree.left=elem;
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elem.parent = tree;
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this.cmd("Connect", tree.graphicID, elem.graphicID, BST.LINK_COLOR);
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}
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else
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{
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this.cmd("CreateHighlightCircle", this.highlightID, BST.HIGHLIGHT_CIRCLE_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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this.insert(elem, tree.left);
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}
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}
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else
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{
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if (tree.right == null)
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{
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this.cmd("SetText", 0, "右子树为null，添加元素");
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this.cmd("SetHighlight", elem.graphicID, 0);
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tree.right=elem;
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elem.parent = tree;
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this.cmd("Connect", tree.graphicID, elem.graphicID, BST.LINK_COLOR);
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elem.x = tree.x + BST.WIDTH_DELTA/2;
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elem.y = tree.y + BST.HEIGHT_DELTA
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this.cmd("Move", elem.graphicID, elem.x, elem.y);
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}
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else
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{
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this.cmd("CreateHighlightCircle", this.highlightID, BST.HIGHLIGHT_CIRCLE_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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this.insert(elem, tree.right);
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}
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}
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}
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BST.prototype.deleteElement = function(deletedValue)
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{
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this.commands = [];
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this.cmd("SetText", 0, "正在刪除 "+deletedValue);
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this.cmd("Step");
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this.cmd("SetText", 0, "");
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this.highlightID = this.nextIndex++;
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this.treeDelete(this.treeRoot, deletedValue);
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this.cmd("SetText", 0, "");
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// Do delete
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return this.commands;
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}
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BST.prototype.treeDelete = function(tree, valueToDelete)
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{
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var leftchild = false;
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if (tree != null)
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{
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if (tree.parent != null)
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{
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leftchild = tree.parent.left == tree;
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}
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this.cmd("SetHighlight", tree.graphicID, 1);
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if (valueToDelete < tree.data)
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{
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this.cmd("SetText", 0, valueToDelete + " < " + tree.data + "， 访问左子树");
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}
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else if (valueToDelete > tree.data)
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{
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this.cmd("SetText", 0, valueToDelete + " > " + tree.data + "， 访问右子树");
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}
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else
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{
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this.cmd("SetText", 0, valueToDelete + " == " + tree.data + ". Found node to delete");
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}
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this.cmd("Step");
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this.cmd("SetHighlight", tree.graphicID, 0);
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if (valueToDelete == tree.data)
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{
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if (tree.left == null && tree.right == null)
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{
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this.cmd("SetText", 0, "需要删除的是叶子节点，直接删除！");
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this.cmd("Delete", tree.graphicID);
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if (leftchild && tree.parent != null)
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{
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tree.parent.left = null;
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}
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else if (tree.parent != null)
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{
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tree.parent.right = null;
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}
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else
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{
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treeRoot = null;
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}
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this.resizeTree();
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this.cmd("Step");
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}
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else if (tree.left == null)
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{
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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.");
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if (tree.parent != null)
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{
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this.cmd("Disconnect", tree.parent.graphicID, tree.graphicID);
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this.cmd("Connect", tree.parent.graphicID, tree.right.graphicID, BST.LINK_COLOR);
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this.cmd("Step");
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this.cmd("Delete", tree.graphicID);
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if (leftchild)
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{
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tree.parent.left = tree.right;
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}
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else
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{
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tree.parent.right = tree.right;
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}
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tree.right.parent = tree.parent;
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}
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else
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{
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this.cmd("Delete", tree.graphicID);
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this.treeRoot = tree.right;
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this.treeRoot.parent = null;
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}
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this.resizeTree();
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}
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else if (tree.right == null)
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{
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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.");
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if (tree.parent != null)
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{
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this.cmd("Disconnect", tree.parent.graphicID, tree.graphicID);
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this.cmd("Connect", tree.parent.graphicID, tree.left.graphicID, BST.LINK_COLOR);
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this.cmd("Step");
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this.cmd("Delete", tree.graphicID);
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if (leftchild)
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{
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tree.parent.left = tree.left;
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}
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else
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{
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tree.parent.right = tree.left;
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}
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tree.left.parent = tree.parent;
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}
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else
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{
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this.cmd("Delete", tree.graphicID);
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this.treeRoot = tree.left;
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this.treeRoot.parent = null;
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}
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this.resizeTree();
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}
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else // tree.left != null && tree.right != null
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{
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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.");
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this.highlightID = this.nextIndex;
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this.nextIndex += 1;
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this.cmd("CreateHighlightCircle", this.highlightID, BST.HIGHLIGHT_CIRCLE_COLOR, tree.x, tree.y);
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var tmp = tree;
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tmp = tree.left;
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this.cmd("Move", this.highlightID, tmp.x, tmp.y);
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this.cmd("Step");
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while (tmp.right != null)
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{
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tmp = tmp.right;
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this.cmd("Move", this.highlightID, tmp.x, tmp.y);
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this.cmd("Step");
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}
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this.cmd("SetText", tree.graphicID, " ");
|
|
var labelID = this.nextIndex;
|
|
this.nextIndex += 1;
|
|
this.cmd("CreateLabel", labelID, tmp.data, tmp.x, tmp.y);
|
|
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.resizeTree();
|
|
}
|
|
else
|
|
{
|
|
this.cmd("Disconnect", tmp.parent.graphicID, tmp.graphicID);
|
|
this.cmd("Connect", tmp.parent.graphicID, tmp.left.graphicID, BST.LINK_COLOR);
|
|
this.cmd("Step");
|
|
this.cmd("Delete", tmp.graphicID);
|
|
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();
|
|
}
|
|
|
|
}
|
|
}
|
|
else if (valueToDelete < tree.data)
|
|
{
|
|
if (tree.left != null)
|
|
{
|
|
this.cmd("CreateHighlightCircle", this.highlightID, BST.HIGHLIGHT_CIRCLE_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);
|
|
}
|
|
else
|
|
{
|
|
if (tree.right != null)
|
|
{
|
|
this.cmd("CreateHighlightCircle", this.highlightID, BST.HIGHLIGHT_CIRCLE_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);
|
|
}
|
|
}
|
|
else
|
|
{
|
|
this.cmd("SetText", 0, "元素 "+valueToDelete+" 未找到, 无法删除");
|
|
}
|
|
|
|
}
|
|
|
|
BST.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, BST.STARTING_Y, 0);
|
|
this.animateNewPositions(this.treeRoot);
|
|
this.cmd("Step");
|
|
}
|
|
|
|
}
|
|
|
|
BST.prototype.setNewPositions = function(tree, xPosition, yPosition, side)
|
|
{
|
|
if (tree != null)
|
|
{
|
|
tree.y = yPosition;
|
|
if (side == -1)
|
|
{
|
|
xPosition = xPosition - tree.rightWidth;
|
|
}
|
|
else if (side == 1)
|
|
{
|
|
xPosition = xPosition + tree.leftWidth;
|
|
}
|
|
tree.x = xPosition;
|
|
this.setNewPositions(tree.left, xPosition, yPosition + BST.HEIGHT_DELTA, -1)
|
|
this.setNewPositions(tree.right, xPosition, yPosition + BST.HEIGHT_DELTA, 1)
|
|
}
|
|
|
|
}
|
|
BST.prototype.animateNewPositions = function(tree)
|
|
{
|
|
if (tree != null)
|
|
{
|
|
this.cmd("Move", tree.graphicID, tree.x, tree.y);
|
|
this.animateNewPositions(tree.left);
|
|
this.animateNewPositions(tree.right);
|
|
}
|
|
}
|
|
|
|
BST.prototype.resizeWidths = function(tree)
|
|
{
|
|
if (tree == null)
|
|
{
|
|
return 0;
|
|
}
|
|
tree.leftWidth = Math.max(this.resizeWidths(tree.left), BST.WIDTH_DELTA / 2);
|
|
tree.rightWidth = Math.max(this.resizeWidths(tree.right), BST.WIDTH_DELTA / 2);
|
|
return tree.leftWidth + tree.rightWidth;
|
|
}
|
|
|
|
|
|
|
|
|
|
function BSTNode(val, id, initialX, initialY)
|
|
{
|
|
this.data = val;
|
|
this.x = initialX;
|
|
this.y = initialY;
|
|
this.graphicID = id;
|
|
this.left = null;
|
|
this.right = null;
|
|
this.parent = null;
|
|
}
|
|
|
|
BST.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;
|
|
}
|
|
|
|
BST.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;
|
|
}
|
|
|
|
|
|
var currentAlg;
|
|
|
|
function init()
|
|
{
|
|
var animManag = initCanvas();
|
|
currentAlg = new BST(animManag, canvas.width, canvas.height);
|
|
|
|
} |