// 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 SkewHeap(am, w, h) { this.init(am, w, h); } SkewHeap.prototype = new Algorithm(); SkewHeap.prototype.constructor = SkewHeap; SkewHeap.superclass = Algorithm.prototype; SkewHeap.LINK_COLOR = "#007700"; SkewHeap.HIGHLIGHT_CIRCLE_COLOR = "#007700"; SkewHeap.FOREGROUND_COLOR = "#007700"; SkewHeap.BACKGROUND_COLOR = "#EEFFEE"; SkewHeap.WIDTH_DELTA = 50; SkewHeap.HEIGHT_DELTA = 50; SkewHeap.STARTING_Y = 90; SkewHeap.INSERT_X = 50; SkewHeap.INSERT_Y = 45; SkewHeap.BACKGROUND_ALPHA = 0.5; SkewHeap.MESSAGE_X = 20; SkewHeap.MESSAGE_Y = 10; SkewHeap.MESSAGE_ID = 0; SkewHeap.prototype.init = function(am, w, h) { SkewHeap.superclass.init.call(this, am, w, h); this.addControls(); this.treeRoot = null; this.secondaryRoot = null; this.animationManager.setAllLayers([0, 1]); this.nextIndex = 1; this.commands = []; this.cmd("CreateLabel", 0, "", SkewHeap.MESSAGE_X, SkewHeap.MESSAGE_Y, 0); this.animationManager.StartNewAnimation(this.commands); this.animationManager.skipForward(); this.animationManager.clearHistory(); this.commands = []; } SkewHeap.prototype.addControls = function() { this.controls = []; this.insertField = addControlToAlgorithmBar("Text", ""); this.insertField.onkeydown = this.returnSubmit(this.insertField, this.insertCallback.bind(this), 4); this.controls.push(this.insertField); this.insertButton = addControlToAlgorithmBar("Button", "添加"); this.insertButton.onclick = this.insertCallback.bind(this); this.controls.push(this.insertButton); this.removeSmallestButton = addControlToAlgorithmBar("Button", "Remove Smallest"); this.removeSmallestButton.onclick = this.removeSmallestCallback.bind(this); this.controls.push(this.removeSmallestButton); this.clearHeapButton = addControlToAlgorithmBar("Button", "Clear Heap"); this.clearHeapButton.onclick = this.clearCallback.bind(this); this.controls.push(this.clearHeapButton); } SkewHeap.prototype.insertCallback = function(event) { var insertedValue; insertedValue = this.normalizeNumber(this.insertField.value, 4); if (insertedValue != "") { this.insertField.value = ""; this.implementAction(this.insertElement.bind(this),insertedValue); } } SkewHeap.prototype.clearCallback = function(event) { this.implementAction(this.clear.bind(this, "")); } SkewHeap.prototype.clear = function(ignored) { this.commands = new Array(); this.clearTree(this.treeRoot); this.treeRoot = null; this.nexIndex = 1; return this.commands; } SkewHeap.prototype.clearTree = function(tree) { if (tree != null) { this.cmd("Delete", tree.graphicID); this.clearTree(tree.left); this.clearTree(tree.right); } } SkewHeap.prototype.reset = function() { this.treeRoot = null; this.secondaryRoot = null; this.nextIndex = 1; } SkewHeap.prototype.removeSmallestCallback = function(event) { this.implementAction(this.removeSmallest.bind(this),""); } SkewHeap.prototype.removeSmallest = function(dummy) { this.commands = new Array(); if (this.treeRoot != null) { this.highlightLeft = this.nextIndex++; this.highlightRight = this.nextIndex++; this.cmd("SetText", SkewHeap.MESSAGE_ID, "Remove root element, leaving two subtrees"); if (this.treeRoot.left != null) { this.cmd("Disconnect", this.treeRoot.graphicID, this.treeRoot.left.graphicID); } if (this.treeRoot.right != null) { this.cmd("Disconnect", this.treeRoot.graphicID, this.treeRoot.right.graphicID); } var oldElem = this.treeRoot.graphicID; this.cmd("Move", this.treeRoot.graphicID, SkewHeap.INSERT_X, SkewHeap.INSERT_Y); this.cmd("Step"); this.cmd("SetText", SkewHeap.MESSAGE_ID, "Merge the two subtrees"); if (this.treeRoot.left == null) { this.treeRoot = null; } else if (this.treeRoot.right == null) { this.treeRoot = this.treeRoot.left; this.resizeTrees(); } else { var secondTree = this.treeRoot.right; this.secondaryRoot = secondTree; this.treeRoot = this.treeRoot.left; this.resizeTrees(); //this.secondaryRoot = null; this.cmd("CreateHighlightCircle", this.highlightLeft, SkewHeap.HIGHLIGHT_CIRCLE_COLOR, this.treeRoot.x, this.treeRoot.y); this.cmd("CreateHighlightCircle", this.highlightRight, SkewHeap.HIGHLIGHT_CIRCLE_COLOR, secondTree.x, secondTree.y); this.treeRoot = this.merge(this.treeRoot, secondTree); this.secondaryRoot = null; } this.resizeTrees(); this.cmd("Delete", oldElem); this.cmd("SetText", SkewHeap.MESSAGE_ID, ""); } // Clear for real return this.commands; } SkewHeap.prototype.insertElement = function(insertedValue) { this.commands = new Array(); this.cmd("SetText", SkewHeap.MESSAGE_ID, "Create a heap with one node, merge with existing heap."); this.secondaryRoot = new SkewHeapNode(insertedValue, this.nextIndex++, SkewHeap.INSERT_X, SkewHeap.INSERT_Y); this.cmd("CreateCircle", this.secondaryRoot.graphicID, insertedValue, this.secondaryRoot.x, this.secondaryRoot.y); this.cmd("SetForegroundColor", this.secondaryRoot.graphicID, SkewHeap.FOREGROUND_COLOR); this.cmd("SetBackgroundColor", this.secondaryRoot.graphicID, SkewHeap.BACKGROUND_COLOR); if (this.treeRoot != null) { this.resizeTrees(); this.highlightLeft = this.nextIndex++; this.highlightRight = this.nextIndex++; this.cmd("CreateHighlightCircle", this.highlightLeft, SkewHeap.HIGHLIGHT_CIRCLE_COLOR, this.treeRoot.x, this.treeRoot.y); this.cmd("CreateHighlightCircle", this.highlightRight, SkewHeap.HIGHLIGHT_CIRCLE_COLOR, this.secondaryRoot.x, this.secondaryRoot.y); var rightTree = this.secondaryRoot; this.secondaryRoot = null; this.treeRoot = this.merge(this.treeRoot, rightTree); this.resizeTrees(); } else { this.treeRoot = this.secondaryRoot; this.secondaryRoot = null; this.resizeTrees(); } this.cmd("SetText", SkewHeap.MESSAGE_ID, ""); return this.commands; } SkewHeap.prototype.merge = function(tree1, tree2) { if (tree1 == null) { this.cmd("SetText", SkewHeap.MESSAGE_ID, "Merging right heap with empty heap, return right heap"); this.cmd("Step"); this.cmd("Delete", this.highlightRight); this.cmd("Delete", this.highlightLeft); return tree2; } if (tree2 == null) { this.cmd("SetText", SkewHeap.MESSAGE_ID, "Merging left heap with empty heap, return left heap"); this.cmd("Step"); this.cmd("Delete", this.highlightRight); this.cmd("Delete", this.highlightLeft); return tree1; } var tmp; this.cmd("SetHighlight", tree1.graphicID, 1); this.cmd("SetHighlight", tree2.graphicID, 1); if (tree2.data < tree1.data) { this.cmd("SetText", SkewHeap.MESSAGE_ID, "Min element is in right heap. Recursively merge right subtree of right heap with left heap"); tmp = tree1; tree1 = tree2; tree2 = tmp; tmp = this.highlightRight; this.highlightRight = this.highlightLeft; this.highlightLeft = tmp; } else { this.cmd("SetText", SkewHeap.MESSAGE_ID, "Min element is in left heap. Recursively merge right subtree of left heap with right heap"); } this.cmd("Step"); this.cmd("SetHighlight", tree1.graphicID, 0); this.cmd("SetHighlight", tree2.graphicID, 0); if (tree1.right == null) { this.cmd("Move", this.highlightLeft, tree1.x + SkewHeap.WIDTH_DELTA / 2, tree1.y + SkewHeap.HEIGHT_DELTA); } else { this.cmd("Move", this.highlightLeft, tree1.right.x, tree1.right.y); } this.cmd("Step"); if (tree1.right != null) { this.cmd("Disconnect", tree1.graphicID, tree1.right.graphicID, SkewHeap.LINK_COLOR); } var next = tree1.right; this.cmd("SetAlpha", tree1.graphicID, SkewHeap.BACKGROUND_ALPHA); if (tree1.left != null) { this.cmd("SetEdgeAlpha", tree1.graphicID, tree1.left.graphicID, SkewHeap.BACKGROUND_ALPHA); this.setTreeAlpha(tree1.left, SkewHeap.BACKGROUND_ALPHA); } this.cmd("Step"); tree1.right = this.merge(next, tree2); if (this.secondaryRoot == tree1.right) { this.secondaryRoot = null; } if (this.treeRoot == tree1.right) { this.treeRoot = null; } if (tree1.right.parent != tree1) { tree1.right.disconnectFromParent(); } tree1.right.parent = tree1; this.cmd("SetText", SkewHeap.MESSAGE_ID, "Reconnecting tree after merge"); this.cmd("Connect", tree1.graphicID, tree1.right.graphicID, SkewHeap.LINK_COLOR); this.cmd("SetAlpha", tree1.graphicID, 1); this.resizeTrees(); if (tree1.left != null) { this.cmd("SetEdgeAlpha", tree1.graphicID, tree1.left.graphicID, 1); this.setTreeAlpha(tree1.left, 1); this.cmd("Step"); } this.cmd("SetHighlight", tree1.graphicID, 1); this.cmd("SetText", SkewHeap.MESSAGE_ID, "Swapping subtrees after merge ..."); this.cmd("Step") this.cmd("SetHighlight", tree1.graphicID, 0); var tmp = tree1.left; tree1.left = tree1.right; tree1.right = tmp; this.resizeTrees(); return tree1; } SkewHeap.prototype.setTreeAlpha = function(tree, newAlpha) { if (tree != null) { this.cmd("SetAlpha", tree.graphicID, newAlpha); if (tree.left != null) { this.cmd("SetEdgeAlpha", tree.graphicID, tree.left.graphicID, newAlpha); this.setTreeAlpha(tree.left, newAlpha); } if (tree.right != null) { this.cmd("SetEdgeAlpha", tree.graphicID, tree.right.graphicID, newAlpha); this.setTreeAlpha(tree.right, newAlpha); } } } SkewHeap.prototype.resizeWidths = function(tree) { if (tree == null) { return 0; } tree.leftWidth = Math.max(this.resizeWidths(tree.left), SkewHeap.WIDTH_DELTA / 2); tree.rightWidth = Math.max(this.resizeWidths(tree.right), SkewHeap.WIDTH_DELTA / 2); return tree.leftWidth + tree.rightWidth; } SkewHeap.prototype.enableUI = function(event) { for (var i = 0; i < this.controls.length; i++) { this.controls[i].disabled = false; } } SkewHeap.prototype.disableUI = function(event) { for (var i = 0; i < this.controls.length; i++) { this.controls[i].disabled = true; } } SkewHeap.prototype.resizeTrees = function() { var firstTreeStart; var secondTreeStart; this.resizeWidths(this.treeRoot); this.resizeWidths(this.secondaryRoot); if (this.treeRoot != null) { startingPoint = this.treeRoot.leftWidth; this.setNewPositions(this.treeRoot, startingPoint, SkewHeap.STARTING_Y, 0); this.animateNewPositions(this.treeRoot); if (this.secondaryRoot != null) { secondTreeStart = this.treeRoot.leftWidth + this.treeRoot.rightWidth + this.secondaryRoot.leftWidth + 50; this.setNewPositions(this.secondaryRoot, secondTreeStart, SkewHeap.STARTING_Y, 0); this.animateNewPositions(this.secondaryRoot); } this.cmd("Step"); } else if (this.secondaryRoot != null) { startingPoint = this.secondaryRoot.leftWidth; this.setNewPositions(this.secondaryRoot, startingPoint, SkewHeap.STARTING_Y, 0); this.animateNewPositions(this.secondaryRoot); } } SkewHeap.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; } else { // ??? tree.heightLabelX = xPosition - SkewHeap.NPL_OFFSET_Y; } tree.x = xPosition; this.setNewPositions(tree.left, xPosition, yPosition + SkewHeap.HEIGHT_DELTA, -1) this.setNewPositions(tree.right, xPosition, yPosition + SkewHeap.HEIGHT_DELTA, 1) } } SkewHeap.prototype.animateNewPositions = function(tree) { if (tree != null) { this.cmd("Move", tree.graphicID, tree.x, tree.y); this.animateNewPositions(tree.left); this.animateNewPositions(tree.right); } } var currentAlg; function init() { var animManag = initCanvas(); currentAlg = new SkewHeap(animManag, canvas.width, canvas.height); } function SkewHeapNode(val, id, initialX, initialY) { this.data = val; this.x = (initialX == undefined) ? 0 : initialX; this.y = (initialY == undefined) ? 0 : initialY; this.graphicID = id; this.left = null; this.right = null; this.leftWidth = 0; this.rightWidth = 0; this.parent = null; } SkewHeapNode.prototype.disconnectFromParent = function() { if (this.parent != null) { if (this.parent.right == this) { this.parent.right = null; } else if (this.parent.left === this) { this.parent.left == null; } } }