// Copyright 2011 David Galles, University of San Francisco. All rights reserved. // // Redistribution and use in source and binary forms, with or without modification, are // permitted provided that the following conditions are met: // // 1. Redistributions of source code must retain the above copyright notice, this list of // conditions and the following disclaimer. // // 2. Redistributions in binary form must reproduce the above copyright notice, this list // of conditions and the following disclaimer in the documentation and/or other materials // provided with the distribution. // // THIS SOFTWARE IS PROVIDED BY ``AS IS'' AND ANY EXPRESS OR IMPLIED // WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND // FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL OR // CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR // CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR // SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON // ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING // NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF // ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. // // The views and conclusions contained in the software and documentation are those of the // authors and should not be interpreted as representing official policies, either expressed // or implied, of the University of San Francisco function RedBlack(am, w, h) { this.init(am, w, h); } RedBlack.prototype = new Algorithm(); RedBlack.prototype.constructor = RedBlack; RedBlack.superclass = Algorithm.prototype; RedBlack.prototype.init = function(am, w, h) { var sc = RedBlack.superclass; var fn = sc.init; fn.call(this,am); this.addControls(); this.nextIndex = 1; this.commands = []; this.startingX = w / 2; this.print_max = w - PRINT_HORIZONTAL_GAP; this.first_print_pos_y = h - 2 * PRINT_VERTICAL_GAP; this.cmd("CreateLabel", 0, "", EXPLANITORY_TEXT_X, EXPLANITORY_TEXT_Y, 0); this.animationManager.StartNewAnimation(this.commands); this.animationManager.skipForward(); this.animationManager.clearHistory(); } RedBlack.prototype.addControls = function() { this.insertField = addControlToAlgorithmBar("Text", ""); this.insertField.onkeydown = this.returnSubmit(this.insertField, this.insertCallback.bind(this), 4); this.insertButton = addControlToAlgorithmBar("Button", "添加"); this.insertButton.onclick = this.insertCallback.bind(this); this.deleteField = addControlToAlgorithmBar("Text", ""); this.deleteField.onkeydown = this.returnSubmit(this.deleteField, this.deleteCallback.bind(this), 4); this.deleteButton = addControlToAlgorithmBar("Button", "删除"); this.deleteButton.onclick = this.deleteCallback.bind(this); this.findField = addControlToAlgorithmBar("Text", ""); this.findField.onkeydown = this.returnSubmit(this.findField, this.findCallback.bind(this), 4); this.findButton = addControlToAlgorithmBar("Button", "搜索"); this.findButton.onclick = this.findCallback.bind(this); this.printButton = addControlToAlgorithmBar("Button", "打印"); this.printButton.onclick = this.printCallback.bind(this); this.showNullLeaves = addCheckboxToAlgorithmBar("显示null叶子节点"); this.showNullLeaves.onclick = this.showNullLeavesCallback.bind(this); this.showNullLeaves.checked = false;; } RedBlack.prototype.reset = function() { this.nextIndex = 1; this.treeRoot = null; } var FIRST_PRINT_POS_X = 50; var PRINT_VERTICAL_GAP = 20; var PRINT_HORIZONTAL_GAP = 50; var FOREGROUND_RED = "#ffffff"; var BACKGROUND_RED = "#ff0000"; var FOREGROUND_BLACK = "#ffffff" var BACKGROUND_BLACK = "#000000"; var BACKGROUND_DOUBLE_BLACK = "#777777"; // var HIGHLIGHT_LABEL_COLOR = RED // var HIGHLIGHT_LINK_COLOR = RED var HIGHLIGHT_LABEL_COLOR = "#FF0000" var HIGHLIGHT_LINK_COLOR = "#FF0000" var BLUE = "#0000FF"; var LINK_COLOR = "#000000" var BACKGROUND_COLOR = BACKGROUND_BLACK; var HIGHLIGHT_COLOR = "#007700"; var FOREGROUND_COLOR = FOREGROUND_BLACK; var PRINT_COLOR = FOREGROUND_COLOR var widthDelta = 50; var heightDelta = 50; var startingY = 50; var FIRST_PRINT_POS_X = 40; var PRINT_VERTICAL_GAP = 20; var PRINT_HORIZONTAL_GAP = 50; var EXPLANITORY_TEXT_X = 10; var EXPLANITORY_TEXT_Y = 10; RedBlack.prototype.insertCallback = function(event) { var insertedValue = this.insertField.value; // Get text value insertedValue = this.normalizeNumber(insertedValue, 4); if (insertedValue != "") { // set text value this.insertField.value = ""; this.implementAction(this.insertElement.bind(this), insertedValue); } } RedBlack.prototype.deleteCallback = function(event) { var deletedValue = this.deleteField.value; if (deletedValue != "") { deletedValue = this.normalizeNumber(deletedValue, 4); this.deleteField.value = ""; this.implementAction(this.deleteElement.bind(this),deletedValue); } } RedBlack.prototype.findCallback = function(event) { var findValue = this.findField.value; if (findValue != "") { findValue = this.normalizeNumber(findValue, 4); this.findField.value = ""; this.implementAction(this.findElement.bind(this),findValue); } } RedBlack.prototype.printCallback = function(event) { this.implementAction(this.printTree.bind(this),""); } RedBlack.prototype.showNullLeavesCallback = function(event) { if (this.showNullLeaves.checked) { this.animationManager.setAllLayers([0,1]); } else { this.animationManager.setAllLayers([0]); } } RedBlack.prototype.printTree = function(unused) { this.commands = []; if (this.treeRoot != null) { this.highlightID = this.nextIndex++; var firstLabel = this.nextIndex; this.cmd("CreateHighlightCircle", this.highlightID, HIGHLIGHT_COLOR, this.treeRoot.x, this.treeRoot.y); this.xPosOfNextLabel = FIRST_PRINT_POS_X; this.yPosOfNextLabel = this.first_print_pos_y; this.printTreeRec(this.treeRoot); this.cmd("Delete",this.highlightID); this.cmd("Step"); for (var i = firstLabel; i < this.nextIndex; i++) this.cmd("Delete", i); this.nextIndex = this.highlightID; /// Reuse objects. Not necessary. } return this.commands; } RedBlack.prototype.printTreeRec = function(tree) { this.cmd("Step"); if (tree.left != null && !tree.left.phantomLeaf) { this.cmd("Move", this.highlightID, tree.left.x, tree.left.y); this.printTreeRec(tree.left); this.cmd("Move", this.highlightID, tree.x, tree.y); this.cmd("Step"); } var nextLabelID = this.nextIndex++; this.cmd("CreateLabel", nextLabelID, tree.data, tree.x, tree.y); this.cmd("SetForegroundColor", nextLabelID, PRINT_COLOR); this.cmd("Move", nextLabelID, this.xPosOfNextLabel, this.yPosOfNextLabel); this.cmd("Step"); this.xPosOfNextLabel += PRINT_HORIZONTAL_GAP; if (this.xPosOfNextLabel > this.print_max) { this.xPosOfNextLabel = FIRST_PRINT_POS_X; this.yPosOfNextLabel += PRINT_VERTICAL_GAP; } if (tree.right != null && !tree.right.phantomLeaf) { this.cmd("Move", this.highlightID, tree.right.x, tree.right.y); this.printTreeRec(tree.right); this.cmd("Move", this.highlightID, tree.x, tree.y); this.cmd("Step"); } return; } RedBlack.prototype.findElement = function(findValue) { this.commands = []; this.highlightID = this.nextIndex++; this.doFind(this.treeRoot, findValue); return this.commands; } RedBlack.prototype.doFind = function(tree, value) { this.cmd("SetText", 0, "Searchiing for "+value); if (tree != null && !tree.phantomLeaf) { this.cmd("SetHighlight", tree.graphicID, 1); if (tree.data == value) { this.cmd("SetText", 0, "正在搜索 "+value+":" + value + " = " + value + " (Element found!)"); this.cmd("Step"); this.cmd("SetText", 0, "Found:"+value); this.cmd("SetHighlight", tree.graphicID, 0); } else { if (tree.data > value) { this.cmd("SetText", 0, "正在搜索 "+value+":" + value + " < " + tree.data + " (访问左子树)"); this.cmd("Step"); this.cmd("SetHighlight", tree.graphicID, 0); if (tree.left!= null) { this.cmd("CreateHighlightCircle", this.highlightID, 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.doFind(tree.left, value); } else { this.cmd("SetText", 0, " 正在搜索 "+value+":" + value + " > " + tree.data + " (访问右子树)"); this.cmd("Step"); this.cmd("SetHighlight", tree.graphicID, 0); if (tree.right!= null) { this.cmd("CreateHighlightCircle", this.highlightID, 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.doFind(tree.right, value); } } } else { this.cmd("SetText", 0, " 正在搜索 "+value+":" + "< 空树 > (找不到元素)"); this.cmd("Step"); this.cmd("SetText", 0, " 正在搜索 "+value+":" + " (找不到元素)"); } } RedBlack.prototype.findUncle = function(tree) { if (tree.parent == null) { return null; } var par = tree.parent; if (par.parent == null) { return null; } var grandPar = par.parent; if (grandPar.left == par) { return grandPar.right; } else { return grandPar.left; } } RedBlack.prototype.blackLevel = function(tree) { if (tree == null) { return 1; } else { return tree.blackLevel; } } RedBlack.prototype.attachLeftNullLeaf = function(node) { // Add phantom left leaf var treeNodeID = this.nextIndex++; this.cmd("CreateCircle", treeNodeID, "null", node.x, node.y); this.cmd("SetForegroundColor", treeNodeID, FOREGROUND_BLACK); this.cmd("SetBackgroundColor", treeNodeID, BACKGROUND_BLACK); node.left = new RedBlackNode("", treeNodeID, this.startingX, startingY); node.left.phantomLeaf = true; this.cmd("SetLayer", treeNodeID, 1); node.left.blackLevel = 1; this.cmd("Connect",node.graphicID, treeNodeID, LINK_COLOR); } RedBlack.prototype.attachRightNullLeaf = function(node) { // Add phantom right leaf treeNodeID = this.nextIndex++; this.cmd("CreateCircle", treeNodeID, "null", node.x, node.y); this.cmd("SetForegroundColor", treeNodeID, FOREGROUND_BLACK); this.cmd("SetBackgroundColor", treeNodeID, BACKGROUND_BLACK); node.right = new RedBlackNode("", treeNodeID, this.startingX, startingY); this.cmd("SetLayer", treeNodeID, 1); node.right.phantomLeaf = true; node.right.blackLevel = 1; this.cmd("Connect", node.graphicID, treeNodeID, LINK_COLOR); } RedBlack.prototype.attachNullLeaves = function(node) { this.attachLeftNullLeaf(node); this.attachRightNullLeaf(node); } RedBlack.prototype.insertElement = function(insertedValue) { this.commands = new Array(); this.cmd("SetText", 0, " 正在添加 "+insertedValue); this.highlightID = this.nextIndex++; var treeNodeID; if (this.treeRoot == null) { treeNodeID = this.nextIndex++; this.cmd("CreateCircle", treeNodeID, insertedValue, this.startingX, startingY); this.cmd("SetForegroundColor", treeNodeID, FOREGROUND_BLACK); this.cmd("SetBackgroundColor", treeNodeID, BACKGROUND_BLACK); this.treeRoot = new RedBlackNode(insertedValue, treeNodeID, this.startingX, startingY); this.treeRoot.blackLevel = 1; this.attachNullLeaves(this.treeRoot); this.resizeTree(); } else { treeNodeID = this.nextIndex++; this.cmd("CreateCircle", treeNodeID, insertedValue, 30, startingY); this.cmd("SetForegroundColor", treeNodeID, FOREGROUND_RED); this.cmd("SetBackgroundColor", treeNodeID, BACKGROUND_RED); this.cmd("Step"); var insertElem = new RedBlackNode(insertedValue, treeNodeID, 100, 100) this.cmd("SetHighlight", insertElem.graphicID, 1); insertElem.height = 1; this.insert(insertElem, this.treeRoot); // resizeTree(); } this.cmd("SetText", 0, " "); return this.commands; } RedBlack.prototype.singleRotateRight = function(tree) { var B = tree; var t3 = B.right; var A = tree.left; var t1 = A.left; var t2 = A.right; this.cmd("SetText", 0, "右单旋"); this.cmd("SetEdgeHighlight", B.graphicID, A.graphicID, 1); this.cmd("Step"); // TODO: Change link color if (t2 != null) { this.cmd("Disconnect", A.graphicID, t2.graphicID); this.cmd("Connect", B.graphicID, t2.graphicID, LINK_COLOR); t2.parent = B; } this.cmd("Disconnect", B.graphicID, A.graphicID); this.cmd("Connect", A.graphicID, B.graphicID, LINK_COLOR); A.parent = B.parent; if (this.treeRoot == B) { this.treeRoot = A; } else { this.cmd("Disconnect", B.parent.graphicID, B.graphicID, LINK_COLOR); this.cmd("Connect", B.parent.graphicID, A.graphicID, LINK_COLOR) if (B.isLeftChild()) { B.parent.left = A; } else { B.parent.right = A; } } A.right = B; B.parent = A; B.left = t2; this.resetHeight(B); this.resetHeight(A); this.resizeTree(); return A; } RedBlack.prototype.singleRotateLeft = function(tree) { var A = tree; var B = tree.right; var t1 = A.left; var t2 = B.left; var t3 = B.right; this.cmd("SetText", 0, "左单旋"); this.cmd("SetEdgeHighlight", A.graphicID, B.graphicID, 1); this.cmd("Step"); if (t2 != null) { this.cmd("Disconnect", B.graphicID, t2.graphicID); this.cmd("Connect", A.graphicID, t2.graphicID, LINK_COLOR); t2.parent = A; } this.cmd("Disconnect", A.graphicID, B.graphicID); this.cmd("Connect", B.graphicID, A.graphicID, LINK_COLOR); B.parent = A.parent; if (this.treeRoot == A) { this.treeRoot = B; } else { this.cmd("Disconnect", A.parent.graphicID, A.graphicID, LINK_COLOR); this.cmd("Connect", A.parent.graphicID, B.graphicID, LINK_COLOR) if (A.isLeftChild()) { A.parent.left = B; } else { A.parent.right = B; } } B.left = A; A.parent = B; A.right = t2; this.resetHeight(A); this.resetHeight(B); this.resizeTree(); return B; } RedBlack.prototype.getHeight = function(tree) { if (tree == null) { return 0; } return tree.height; } RedBlack.prototype.resetHeight = function(tree) { if (tree != null) { var newHeight = Math.max(this.getHeight(tree.left), this.getHeight(tree.right)) + 1; if (tree.height != newHeight) { tree.height = Math.max(this.getHeight(tree.left), this.getHeight(tree.right)) + 1 } } } RedBlack.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 || tree.left.phantomLeaf) { this.cmd("SetText", 0, "Found null tree (or phantom leaf), inserting element"); if (tree.left != null) { this.cmd("Delete", tree.left.graphicID); } this.cmd("SetHighlight", elem.graphicID, 0); tree.left=elem; elem.parent = tree; this.cmd("Connect", tree.graphicID, elem.graphicID, LINK_COLOR); this.attachNullLeaves(elem); this.resizeTree(); this.resizeTree(); this.fixDoubleRed(elem); } else { this.cmd("CreateHighlightCircle", this.highlightID, 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); } } else { if (tree.right == null || tree.right.phantomLeaf) { this.cmd("SetText", 0, "Found null tree (or phantom leaf), inserting element"); if (tree.right != null) { this.cmd("Delete", tree.right.graphicID); } this.cmd("SetHighlight", elem.graphicID, 0); tree.right=elem; elem.parent = tree; this.cmd("Connect", tree.graphicID, elem.graphicID, LINK_COLOR); elem.x = tree.x + widthDelta/2; elem.y = tree.y + heightDelta this.cmd("Move", elem.graphicID, elem.x, elem.y); this.attachNullLeaves(elem); this.resizeTree(); this.resizeTree(); this.fixDoubleRed(elem); } else { this.cmd("CreateHighlightCircle", this.highlightID, 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); } } } RedBlack.prototype.fixDoubleRed = function(tree) { if (tree.parent != null) { if (tree.parent.blackLevel > 0) { return; } if (tree.parent.parent == null) { this.cmd("SetText", 0, "Tree root is red, color it black."); this.cmd("Step"); tree.parent.blackLevel = 1; this.cmd("SetForegroundColor", tree.parent.graphicID, FOREGROUND_BLACK); this.cmd("SetBackgroundColor", tree.parent.graphicID, BACKGROUND_BLACK); return; } var uncle = this.findUncle(tree); if (this.blackLevel(uncle) == 0) { this.cmd("SetText", 0, "Node and parent are both red. Uncle of node is red -- push blackness down from grandparent"); this.cmd("Step"); this.cmd("SetForegroundColor", uncle.graphicID, FOREGROUND_BLACK); this.cmd("SetBackgroundColor",uncle.graphicID, BACKGROUND_BLACK); uncle.blackLevel = 1; tree.parent.blackLevel = 1; this.cmd("SetForegroundColor", tree.parent.graphicID, FOREGROUND_BLACK); this.cmd("SetBackgroundColor",tree.parent.graphicID, BACKGROUND_BLACK); tree.parent.parent.blackLevel = 0; this.cmd("SetForegroundColor", tree.parent.parent.graphicID, FOREGROUND_RED); this.cmd("SetBackgroundColor",tree.parent.parent.graphicID, BACKGROUND_RED); this.cmd("Step"); this.fixDoubleRed(tree.parent.parent); } else { if (tree.isLeftChild() && !tree.parent.isLeftChild()) { this.cmd("SetText", 0, "Node and parent are both red. Node is left child, parent is right child -- rotate"); this.cmd("Step"); this.singleRotateRight(tree.parent); tree=tree.right; } else if (!tree.isLeftChild() && tree.parent.isLeftChild()) { this.cmd("SetText", 0, "Node and parent are both red. Node is right child, parent is left child -- rotate"); this.cmd("Step"); this.singleRotateLeft(tree.parent); tree=tree.left; } if (tree.isLeftChild()) { this.cmd("SetText", 0, "Node and parent are both red. Node is left child, parent is left child\nCan fix extra redness with a single rotation"); this.cmd("Step"); this.singleRotateRight(tree.parent.parent); tree.parent.blackLevel = 1; this.cmd("SetForegroundColor", tree.parent.graphicID, FOREGROUND_BLACK); this.cmd("SetBackgroundColor",tree.parent.graphicID, BACKGROUND_BLACK); tree.parent.right.blackLevel = 0; this.cmd("SetForegroundColor", tree.parent.right.graphicID, FOREGROUND_RED); this.cmd("SetBackgroundColor",tree.parent.right.graphicID, BACKGROUND_RED); } else { this.cmd("SetText", 0, "Node and parent are both red. Node is right child, parent is right child\nCan fix extra redness with a single rotation"); this.cmd("Step"); this.singleRotateLeft(tree.parent.parent); tree.parent.blackLevel = 1; this.cmd("SetForegroundColor", tree.parent.graphicID, FOREGROUND_BLACK); this.cmd("SetBackgroundColor",tree.parent.graphicID, BACKGROUND_BLACK); tree.parent.left.blackLevel = 0; this.cmd("SetForegroundColor", tree.parent.left.graphicID, FOREGROUND_RED); this.cmd("SetBackgroundColor",tree.parent.left.graphicID, BACKGROUND_RED); } } } else { if (tree.blackLevel == 0) { this.cmd("SetText", 0, "Root of the tree is red. Color it black"); this.cmd("Step"); tree.blackLevel = 1; this.cmd("SetForegroundColor", tree.graphicID, FOREGROUND_BLACK); this.cmd("SetBackgroundColor", tree.graphicID, BACKGROUND_BLACK); } } } RedBlack.prototype.deleteElement = function(deletedValue) { this.commands = new Array(); 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, " "); // Do delete return this.commands; } RedBlack.prototype.fixLeftNull = function(tree) { var treeNodeID = this.nextIndex++; var nullLeaf; this.cmd("SetText", 0, "Coloring 'Null Leaf' double black"); this.cmd("CreateCircle", treeNodeID, "null", tree.x, tree.y); this.cmd("SetForegroundColor", treeNodeID, FOREGROUND_BLACK); this.cmd("SetBackgroundColor", treeNodeID, BACKGROUND_DOUBLE_BLACK); nullLeaf = new RedBlackNode("null", treeNodeID, tree.x, tree.x); nullLeaf.blackLevel = 2; nullLeaf.parent = tree; nullLeaf.phantomLeaf = true; tree.left = nullLeaf; this.cmd("Connect", tree.graphicID, nullLeaf.graphicID, LINK_COLOR); this.resizeTree(); this.fixExtraBlackChild(tree, true); this.cmd("SetLayer", nullLeaf.graphicID, 1); nullLeaf.blackLevel = 1; this.fixNodeColor(nullLeaf); } RedBlack.prototype.fixRightNull = function(tree) { var treeNodeID = this.nextIndex++; var nullLeaf; this.cmd("SetText", 0, "Coloring 'Null Leaf' double black"); this.cmd("CreateCircle", treeNodeID, "null", tree.x, tree.y); this.cmd("SetForegroundColor", treeNodeID, FOREGROUND_BLACK); this.cmd("SetBackgroundColor", treeNodeID, BACKGROUND_DOUBLE_BLACK); nullLeaf = new RedBlackNode("null", treeNodeID, tree.x, tree.x); nullLeaf.parent = tree; nullLeaf.phantomLeaf = true; nullLeaf.blackLevel = 2; tree.right = nullLeaf; this.cmd("Connect", tree.graphicID, nullLeaf.graphicID, LINK_COLOR); this.resizeTree(); this.fixExtraBlackChild(tree, false); this.cmd("SetLayer", nullLeaf.graphicID, 1); nullLeaf.blackLevel = 1; this.fixNodeColor(nullLeaf); } RedBlack.prototype.fixExtraBlackChild = function(parNode, isLeftChild) { var sibling; var doubleBlackNode; if (isLeftChild) { sibling = parNode.right; doubleBlackNode = parNode.left; } else { sibling = parNode.left; doubleBlackNode = parNode.right; } if (this.blackLevel(sibling) > 0 && this.blackLevel(sibling.left) > 0 && this.blackLevel(sibling.right) > 0) { this.cmd("SetText", 0, "Double black node has black sibling and 2 black nephews. Push up black level"); this.cmd("Step"); sibling.blackLevel = 0; this.fixNodeColor(sibling); if (doubleBlackNode != null) { doubleBlackNode.blackLevel = 1; this.fixNodeColor(doubleBlackNode); } if (parNode.blackLevel == 0) { parNode.blackLevel = 1; this.fixNodeColor(parNode); } else { parNode.blackLevel = 2; this.fixNodeColor(parNode); this.cmd("SetText", 0, "Pushing up black level created another double black node. Repeating ..."); this.cmd("Step"); this.fixExtraBlack(parNode); } } else if (this.blackLevel(sibling) == 0) { this.cmd("SetText", 0, "Double black node has red sibling. Rotate tree to make sibling black ..."); this.cmd("Step"); if (isLeftChild) { var newPar = this.singleRotateLeft(parNode); newPar.blackLevel = 1; this.fixNodeColor(newPar); newPar.left.blackLevel = 0; this.fixNodeColor(newPar.left); this.cmd("Step"); // TODO: REMOVE this.fixExtraBlack(newPar.left.left); } else { newPar = this.singleRotateRight(parNode); newPar.blackLevel = 1; this.fixNodeColor(newPar); newPar.right.blackLevel = 0; this.fixNodeColor(newPar.right); this.cmd("Step"); // TODO: REMOVE this.fixExtraBlack(newPar.right.right); } } else if (isLeftChild && this.blackLevel(sibling.right) > 0) { this.cmd("SetText", 0, "Double black node has black sibling, but double black node is a left child, \nand the right nephew is black. Rotate tree to make opposite nephew red ..."); this.cmd("Step"); var newSib = this.singleRotateRight(sibling); newSib.blackLevel = 1; this.fixNodeColor(newSib); newSib.right.blackLevel = 0; this.fixNodeColor(newSib.right); this.cmd("Step"); this.fixExtraBlackChild(parNode, isLeftChild); } else if (!isLeftChild && this.blackLevel(sibling.left) > 0) { this.cmd("SetText", 0, "Double black node has black sibling, but double black node is a right child, \nand the left nephew is black. Rotate tree to make opposite nephew red ..."); this.cmd("Step"); newSib = this.singleRotateLeft(sibling); newSib.blackLevel = 1; this.fixNodeColor(newSib); newSib.left.blackLevel = 0; this.fixNodeColor(newSib.left); this.cmd("Step"); this.fixExtraBlackChild(parNode, isLeftChild); } else if (isLeftChild) { this.cmd("SetText", 0, "Double black node has black sibling, is a left child, and its right nephew is red.\nOne rotation can fix double-blackness."); this.cmd("Step"); var oldParBlackLevel = parNode.blackLevel; newPar = this.singleRotateLeft(parNode); if (oldParBlackLevel == 0) { newPar.blackLevel = 0; this.fixNodeColor(newPar); newPar.left.blackLevel = 1; this.fixNodeColor(newPar.left); } newPar.right.blackLevel = 1; this.fixNodeColor(newPar.right); if (newPar.left.left != null) { newPar.left.left.blackLevel = 1; this.fixNodeColor(newPar.left.left); } } else { this.cmd("SetText", 0, "Double black node has black sibling, is a right child, and its left nephew is red.\nOne rotation can fix double-blackness."); this.cmd("Step"); oldParBlackLevel = parNode.blackLevel; newPar = this.singleRotateRight(parNode); if (oldParBlackLevel == 0) { newPar.blackLevel = 0; this.fixNodeColor(newPar); newPar.right.blackLevel = 1; this.fixNodeColor(newPar.right); } newPar.left.blackLevel = 1; this.fixNodeColor(newPar.left); if (newPar.right.right != null) { newPar.right.right.blackLevel = 1; this.fixNodeColor(newPar.right.right); } } } RedBlack.prototype.fixExtraBlack = function(tree) { if (tree.blackLevel > 1) { if (tree.parent == null) { this.cmd("SetText", 0, "Double black node is root. Make it single black."); this.cmd("Step"); tree.blackLevel = 1; this.cmd("SetBackgroundColor", tree.graphicID, BACKGROUND_BLACK); } else if (tree.parent.left == tree) { this.fixExtraBlackChild(tree.parent, true); } else { this.fixExtraBlackChild(tree.parent, false); } } else { // No extra blackness } } RedBlack.prototype.treeDelete = function(tree, valueToDelete) { var leftchild = false; if (tree != null && !tree.phantomLeaf) { 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) { var needFix = tree.blackLevel > 0; if (((tree.left == null) || tree.left.phantomLeaf) && ((tree.right == null) || tree.right.phantomLeaf)) { this.cmd("SetText", 0, "需要删除的是叶子节点,直接删除!"); this.cmd("Delete", tree.graphicID); if (tree.left != null) { this.cmd("Delete", tree.left.graphicID); } if (tree.right != null) { this.cmd("Delete", tree.right.graphicID); } if (leftchild && tree.parent != null) { tree.parent.left = null; this.resizeTree(); if (needFix) { this.fixLeftNull(tree.parent); } else { this.attachLeftNullLeaf(tree.parent); this.resizeTree(); } } else if (tree.parent != null) { tree.parent.right = null; this.resizeTree(); if (needFix) { this.fixRightNull(tree.parent); } else { this.attachRightNullLeaf(tree.parent); this.resizeTree(); } } else { this.treeRoot = null; } } else if (tree.left == null || tree.left.phantomLeaf) { 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.left != null) { this.cmd("Delete", tree.left.graphicID); tree.left = null; } if (tree.parent != null) { this.cmd("Disconnect", tree.parent.graphicID, tree.graphicID); this.cmd("Connect", tree.parent.graphicID, tree.right.graphicID, LINK_COLOR); this.cmd("Step"); this.cmd("Delete", tree.graphicID); if (leftchild) { tree.parent.left = tree.right; if (needFix) { this.cmd("SetText", 0, "Back node removed. Increasing child's blackness level"); tree.parent.left.blackLevel++; this.fixNodeColor(tree.parent.left); this.fixExtraBlack(tree.parent.left); } } else { tree.parent.right = tree.right; if (needFix) { tree.parent.right.blackLevel++; this.cmd("SetText", 0, "Back node removed. Increasing child's blackness level"); this.fixNodeColor(tree.parent.right); this.fixExtraBlack(tree.parent.right); } } tree.right.parent = tree.parent; } else { this.cmd("Delete", tree.graphicID); this.treeRoot = tree.right; this.treeRoot.parent = null; if (this.treeRoot.blackLevel == 0) { this.treeRoot.blackLevel = 1; this.cmd("SetForegroundColor", this.treeRoot.graphicID, FOREGROUND_BLACK); this.cmd("SetBackgroundColor", this.treeRoot.graphicID, BACKGROUND_BLACK); } } this.resizeTree(); } else if (tree.right == null || tree.right.phantomLeaf) { 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.right != null) { this.cmd("Delete", tree.right.graphicID); tree.right = null; } if (tree.parent != null) { this.cmd("Disconnect", tree.parent.graphicID, tree.graphicID); this.cmd("Connect", tree.parent.graphicID, tree.left.graphicID, LINK_COLOR); this.cmd("Step"); this.cmd("Delete", tree.graphicID); if (leftchild) { tree.parent.left = tree.left; if (needFix) { tree.parent.left.blackLevel++; this.fixNodeColor(tree.parent.left); this.fixExtraBlack(tree.parent.left); this.resizeTree(); } else { this.cmd("SetText", 0, "删除的是红色节点. 不需要旋转."); this.resizeTree(); } } else { tree.parent.right = tree.left; if (needFix) { tree.parent.right.blackLevel++; this.fixNodeColor(tree.parent.right); this.fixExtraBlack(tree.parent.left); this.resizeTree(); } else { this.cmd("SetText", 0, "删除的是红色节点. 不需要旋转."); this.resizeTree(); } } tree.left.parent = tree.parent; } else { this.cmd("Delete" , tree.graphicID); this.treeRoot = tree.left; this.treeRoot.parent = null; if (this.treeRoot.blackLevel == 0) { this.treeRoot.blackLevel = 1; this.fixNodeColor(this.treeRoot); } } } 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, 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.right.phantomLeaf) { tmp = tmp.right; this.cmd("Move", this.highlightID, tmp.x, tmp.y); this.cmd("Step"); } if (tmp.right != null) { this.cmd("Delete", tmp.right.graphicID); tmp.right = null; } 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, BLUE); 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."); needFix = tmp.blackLevel > 0; if (tmp.left == null) { this.cmd("Delete", tmp.graphicID); if (tmp.parent != tree) { tmp.parent.right = null; this.resizeTree(); if (needFix) { this.fixRightNull(tmp.parent); } else { this.cmd("SetText", 0, "删除的是红色节点. 不需要旋转."); this.cmd("Step"); } } else { tree.left = null; this.resizeTree(); if (needFix) { this.fixLeftNull(tmp.parent); } else { this.cmd("SetText", 0, "删除的是红色节点. 不需要旋转."); this.cmd("Step"); } } } else { this.cmd("Disconnect", tmp.parent.graphicID, tmp.graphicID); this.cmd("Connect", tmp.parent.graphicID, tmp.left.graphicID, LINK_COLOR); this.cmd("Step"); this.cmd("Delete", tmp.graphicID); if (tmp.parent != tree) { tmp.parent.right = tmp.left; tmp.left.parent = tmp.parent; this.resizeTree(); if (needFix) { this.cmd("SetText", 0, "Coloring child of deleted node black"); this.cmd("Step"); tmp.left.blackLevel++; if (tmp.left.phantomLeaf) { this.cmd("SetLayer", tmp.left.graphicID, 0); } this.fixNodeColor(tmp.left); this.fixExtraBlack(tmp.left); if (tmp.left.phantomLeaf) { this.cmd("SetLayer", tmp.left.graphicID, 1); } } else { this.cmd("SetText", 0, "删除的是红色节点. 不需要旋转."); this.cmd("Step"); } } else { tree.left = tmp.left; tmp.left.parent = tree; this.resizeTree(); if (needFix) { this.cmd("SetText", 0, "Coloring child of deleted node black"); this.cmd("Step"); tmp.left.blackLevel++; if (tmp.left.phantomLeaf) { this.cmd("SetLayer", tmp.left.graphicID, 0); } this.fixNodeColor(tmp.left); this.fixExtraBlack(tmp.left); if (tmp.left.phantomLeaf) { this.cmd("SetLayer", tmp.left.graphicID, 1); } } else { this.cmd("SetText", 0, "删除的是红色节点. 不需要旋转."); this.cmd("Step"); } } } tmp = tmp.parent; } } else if (valueToDelete < tree.data) { if (tree.left != null) { this.cmd("CreateHighlightCircle", this.highlightID, 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); } else { if (tree.right != null) { this.cmd("CreateHighlightCircle", this.highlightID, 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); } } else { this.cmd("SetText", 0, "元素 "+valueToDelete+" 未找到, 无法删除"); } } RedBlack.prototype.fixNodeColor = function(tree) { if (tree.blackLevel == 0) { this.cmd("SetForegroundColor", tree.graphicID, FOREGROUND_RED); this.cmd("SetBackgroundColor", tree.graphicID, BACKGROUND_RED); } else { this.cmd("SetForegroundColor", tree.graphicID, FOREGROUND_BLACK); if (tree.blackLevel > 1) { this.cmd("SetBackgroundColor",tree.graphicID, BACKGROUND_DOUBLE_BLACK); } else { this.cmd("SetBackgroundColor",tree.graphicID, BACKGROUND_BLACK); } } } RedBlack.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, startingY, 0); this.animateNewPositions(this.treeRoot); this.cmd("Step"); } } RedBlack.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 + heightDelta, -1) this.setNewPositions(tree.right, xPosition, yPosition + heightDelta, 1) } } RedBlack.prototype.animateNewPositions = function(tree) { if (tree != null) { this.cmd("Move", tree.graphicID, tree.x, tree.y); this.animateNewPositions(tree.left); this.animateNewPositions(tree.right); } } RedBlack.prototype.resizeWidths = function(tree) { if (tree == null) { return 0; } tree.leftWidth = Math.max(this.resizeWidths(tree.left), widthDelta / 2); tree.rightWidth = Math.max(this.resizeWidths(tree.right), widthDelta / 2); return tree.leftWidth + tree.rightWidth; } RedBlack.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; } RedBlack.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; } ///////////////////////////////////////////////////////// // Red black node //////////////////////////////////////////////////////// function RedBlackNode(val, id, initialX, initialY) { this.data = val; this.x = initialX; this.y = initialY; this.blackLevel = 0; this.phantomLeaf = false; this.graphicID = id; this.left = null; this.right = null; this.parent = null; this.height = 0; this.leftWidth = 0; this.rightWidth = 0; } RedBlackNode.prototype.isLeftChild = function() { if (this.parent == null) { return true; } return this.parent.left == this; } ///////////////////////////////////////////////////////// // Setup stuff //////////////////////////////////////////////////////// var currentAlg; function init() { var animManag = initCanvas(); currentAlg = new RedBlack(animManag, canvas.width, canvas.height); }