// 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 DPFib(am, w, h) { this.init(am, w, h); } DPFib.prototype = new Algorithm(); DPFib.prototype.constructor = DPFib; DPFib.superclass = Algorithm.prototype; DPFib.TABLE_ELEM_WIDTH = 40; DPFib.TABLE_ELEM_HEIGHT = 30; DPFib.TABLE_START_X = 500; DPFib.TABLE_START_Y = 40; DPFib.TABLE_DIFF_X = 100; DPFib.CODE_START_X = 10; DPFib.CODE_START_Y = 10; DPFib.CODE_LINE_HEIGHT = 14; DPFib.RECURSIVE_START_X = 20; DPFib.RECURSIVE_START_Y = 120; DPFib.RECURSIVE_DELTA_Y = 14; DPFib.RECURSIVE_DELTA_X = 15; DPFib.CODE_HIGHLIGHT_COLOR = "#FF0000"; DPFib.CODE_STANDARD_COLOR = "#000000"; DPFib.TABLE_INDEX_COLOR = "#0000FF" DPFib.CODE_RECURSIVE_1_COLOR = "#339933"; DPFib.CODE_RECURSIVE_2_COLOR = "#0099FF"; DPFib.MAX_VALUE = 20; DPFib.MESSAGE_ID = 0; DPFib.prototype.init = function(am, w, h) { DPFib.superclass.init.call(this, am, w, h); this.nextIndex = 0; this.addControls(); this.code = [["def ","fib(n)",":"], [" if ","(n <= 1) "], [" return 1"], [" else"], [" return ", "fib(n-1)", " + ", "fib(n-2)"]]; this.codeID = Array(this.code.length); var i, j; for (i = 0; i < this.code.length; i++) { this.codeID[i] = new Array(this.code[i].length); for (j = 0; j < this.code[i].length; j++) { this.codeID[i][j] = this.nextIndex++; this.cmd("CreateLabel", this.codeID[i][j], this.code[i][j], DPFib.CODE_START_X, DPFib.CODE_START_Y + i * DPFib.CODE_LINE_HEIGHT, 0); this.cmd("SetForegroundColor", this.codeID[i][j], DPFib.CODE_STANDARD_COLOR); if (j > 0) { this.cmd("AlignRight", this.codeID[i][j], this.codeID[i][j-1]); } } } this.animationManager.StartNewAnimation(this.commands); this.animationManager.skipForward(); this.animationManager.clearHistory(); this.initialIndex = this.nextIndex; this.oldIDs = []; this.commands = []; } DPFib.prototype.addControls = function() { this.controls = []; this.fibField = addControlToAlgorithmBar("Text", ""); this.fibField.onkeydown = this.returnSubmit(this.fibField, this.emptyCallback.bind(this), 2, true); this.controls.push(this.fibField); this.recursiveButton = addControlToAlgorithmBar("Button", "Fibonacci Recursive"); this.recursiveButton.onclick = this.recursiveCallback.bind(this); this.controls.push(this.recursiveButton); this.tableButton = addControlToAlgorithmBar("Button", "Fibonacci Table"); this.tableButton.onclick = this.tableCallback.bind(this); this.controls.push(this.tableButton); this.memoizedButton = addControlToAlgorithmBar("Button", "Fibonacci Memoized"); this.memoizedButton.onclick = this.memoizedCallback.bind(this); this.controls.push(this.memoizedButton); } DPFib.prototype.buildTable = function(maxVal) { this.tableID = new Array(maxVal + 1); this.tableVals = new Array(maxVal + 1); this.tableXPos = new Array(maxVal + 1); this.tableYPos = new Array(maxVal + 1); var i; var indexID; var xPos; var yPos; var table_rows = Math.floor((this.canvasHeight - DPFib.TABLE_ELEM_HEIGHT - DPFib.TABLE_START_Y) / DPFib.TABLE_ELEM_HEIGHT); for (i = 0; i <= maxVal; i++) { this.tableID[i] = this.nextIndex++; this.tableVals[i] = -1; this.oldIDs.push(this.tableID[i]); yPos = i % table_rows * DPFib.TABLE_ELEM_HEIGHT + DPFib.TABLE_START_Y; xPos = Math.floor(i / table_rows) * DPFib.TABLE_DIFF_X + DPFib.TABLE_START_X; this.tableXPos[i] = xPos; this.tableYPos[i] = yPos; this.cmd("CreateRectangle", this.tableID[i], "", DPFib.TABLE_ELEM_WIDTH, DPFib.TABLE_ELEM_HEIGHT, xPos, yPos); indexID = this.nextIndex++; this.oldIDs.push(indexID); this.cmd("CreateLabel", indexID, i, xPos - DPFib.TABLE_ELEM_WIDTH, yPos); this.cmd("SetForegroundColor", indexID, DPFib.TABLE_INDEX_COLOR); } } DPFib.prototype.clearOldIDs = function() { for (var i = 0; i < this.oldIDs.length; i++) { this.cmd("Delete", this.oldIDs[i]); } this.oldIDs =[]; this.nextIndex = this.initialIndex; } DPFib.prototype.reset = function() { this.oldIDs =[]; this.nextIndex = this.initialIndex; } DPFib.prototype.emptyCallback = function(event) { this.implementAction(this.helpMessage.bind(this), ""); // TODO: Put up a message to push the appropriate button? } DPFib.prototype.recursiveCallback = function(event) { var fibValue; if (this.fibField.value != "") { var fibValue = Math.min(parseInt(this.fibField.value), DPFib.MAX_VALUE); this.fibField.value = String(fibValue); this.implementAction(this.recursiveFib.bind(this),fibValue); } else { this.implementAction(this.helpMessage.bind(this), ""); } } DPFib.prototype.tableCallback = function(event) { var fibValue; if (this.fibField.value != "") { var fibValue = Math.min(parseInt(this.fibField.value), DPFib.MAX_VALUE); this.fibField.value = String(fibValue); this.implementAction(this.tableFib.bind(this),fibValue); } else { this.implementAction(this.helpMessage.bind(this), ""); } } DPFib.prototype.memoizedCallback = function(event) { var fibValue; if (this.fibField.value != "") { var fibValue = Math.min(parseInt(this.fibField.value), DPFib.MAX_VALUE); this.fibField.value = String(fibValue); this.implementAction(this.memoizedFib.bind(this),fibValue); } else { this.implementAction(this.helpMessage.bind(this), ""); } } DPFib.prototype.helpMessage = function(value) { this.commands = []; this.clearOldIDs(); var messageID = this.nextIndex++; this.oldIDs.push(messageID); this.cmd("CreateLabel", messageID, "Enter a value betweeen 0 and " + String(DPFib.MAX_VALUE) + " in the text field.\n" + "Then press the Fibonacci Recursive, Fibonacci Table, or Fibonacci Memoized button", DPFib.RECURSIVE_START_X, DPFib.RECURSIVE_START_Y, 0); return this.commands; } DPFib.prototype.recursiveFib = function(value) { this.commands = []; this.clearOldIDs(); this.currentY = DPFib.RECURSIVE_START_Y; var functionCallID = this.nextIndex++; this.oldIDs.push(functionCallID); var final = this.fib(value, DPFib.RECURSIVE_START_X, functionCallID); this.cmd("SetText", functionCallID, "fib(" + String(value) + ") = " + String(final)); return this.commands; } DPFib.prototype.fib = function(value, xPos, ID) { this.cmd("CreateLabel", ID, "fib(" + String(value)+")", xPos, this.currentY, 0); this.currentY += DPFib.RECURSIVE_DELTA_Y; this.cmd("SetForegroundColor", this.codeID[0][1], DPFib.CODE_HIGHLIGHT_COLOR); this.cmd("Step"); this.cmd("SetForegroundColor", this.codeID[0][1], DPFib.CODE_STANDARD_COLOR); this.cmd("SetForegroundColor", this.codeID[1][1], DPFib.CODE_HIGHLIGHT_COLOR); this.cmd("Step"); this.cmd("SetForegroundColor", this.codeID[1][1], DPFib.CODE_STANDARD_COLOR); if (value > 1) { var firstID = this.nextIndex++; var secondID = this.nextIndex++; this.cmd("SetForegroundColor", this.codeID[4][1], DPFib.CODE_HIGHLIGHT_COLOR); this.cmd("Step"); this.cmd("SetForegroundColor", this.codeID[4][1], DPFib.CODE_STANDARD_COLOR); var firstValue = this.fib(value-1, xPos + DPFib.RECURSIVE_DELTA_X, firstID); this.currentY += DPFib.RECURSIVE_DELTA_Y; this.cmd("SetForegroundColor", this.codeID[4][3], DPFib.CODE_HIGHLIGHT_COLOR); this.cmd("Step"); this.cmd("SetForegroundColor", this.codeID[4][3], DPFib.CODE_STANDARD_COLOR); var secondValue = this.fib(value-2, xPos + DPFib.RECURSIVE_DELTA_X, secondID); this.cmd("SetForegroundColor", this.codeID[4][1], DPFib.CODE_RECURSIVE_1_COLOR); this.cmd("SetForegroundColor", firstID, DPFib.CODE_RECURSIVE_1_COLOR); this.cmd("SetForegroundColor", this.codeID[4][2], DPFib.CODE_HIGHLIGHT_COLOR); this.cmd("SetForegroundColor", this.codeID[4][3], DPFib.CODE_RECURSIVE_2_COLOR); this.cmd("SetForegroundColor", secondID, DPFib.CODE_RECURSIVE_2_COLOR); this.cmd("Step"); this.cmd("SetForegroundColor", this.codeID[4][1], DPFib.CODE_STANDARD_COLOR); this.cmd("SetForegroundColor", this.codeID[4][2], DPFib.CODE_STANDARD_COLOR); this.cmd("SetForegroundColor", this.codeID[4][3], DPFib.CODE_STANDARD_COLOR); this.cmd("Delete", firstID); this.cmd("Delete", secondID); this.cmd("SetText", ID, firstValue + secondValue); this.cmd("Step"); this.currentY = this.currentY - 2 * DPFib.RECURSIVE_DELTA_Y; return firstValue + secondValue; } else { this.cmd("SetText", ID, "1"); this.cmd("SetForegroundColor", this.codeID[2][0], DPFib.CODE_HIGHLIGHT_COLOR); this.cmd("Step"); this.cmd("SetForegroundColor", this.codeID[2][0], DPFib.CODE_STANDARD_COLOR); this.currentY -= DPFib.RECURSIVE_DELTA_Y; return 1; } } DPFib.prototype.tableFib = function(value) { this.commands = []; this.clearOldIDs(); this.buildTable(value); var i; for (i = 0; i <= value && i <= 1; i++) { this.cmd("SetForegroundColor", this.codeID[1][1], DPFib.CODE_HIGHLIGHT_COLOR); this.cmd("SetForegroundColor", this.codeID[2][0], DPFib.CODE_HIGHLIGHT_COLOR); this.cmd("SetHighlight", this.tableID[i], 1); this.cmd("SetText", this.tableID[i], 1); this.tableVals[i] = 1; this.cmd("Step"); this.cmd("SetForegroundColor", this.codeID[1][1], DPFib.CODE_STANDARD_COLOR); this.cmd("SetForegroundColor", this.codeID[2][0], DPFib.CODE_STANDARD_COLOR); this.cmd("SetHighlight", this.tableID[i], 0); } for (i = 2; i <= value; i++) { this.cmd("SetHighlight", this.tableID[i-1], 1) this.cmd("SetHighlight", this.tableID[i-2], 1) this.cmd("SetForegroundColor", this.codeID[4][1], DPFib.CODE_HIGHLIGHT_COLOR); this.cmd("SetForegroundColor", this.codeID[4][2], DPFib.CODE_HIGHLIGHT_COLOR); this.cmd("SetForegroundColor", this.codeID[4][3], DPFib.CODE_HIGHLIGHT_COLOR); this.cmd("Step"); this.tableVals[i] = this.tableVals[i-1] + this.tableVals[i-2]; this.cmd("SetText", this.tableID[i], this.tableVals[i]); this.cmd("SetTextColor", this.tableID[i], DPFib.CODE_HIGHLIGHT_COLOR); this.cmd("Step"); this.cmd("SetForegroundColor", this.codeID[4][1], DPFib.CODE_STANDARD_COLOR); this.cmd("SetForegroundColor", this.codeID[4][2], DPFib.CODE_STANDARD_COLOR); this.cmd("SetForegroundColor", this.codeID[4][3], DPFib.CODE_STANDARD_COLOR); this.cmd("SetTextColor", this.tableID[i], DPFib.CODE_STANDARD_COLOR); this.cmd("SetHighlight", this.tableID[i-1], 0) this.cmd("SetHighlight", this.tableID[i-2], 0) } var finalID = this.nextIndex++; this.oldIDs.push(finalID); this.cmd("CreateLabel", finalID, this.tableVals[value], this.tableXPos[value] - 5, this.tableYPos[value] - 5, 0); this.cmd("Move", finalID, DPFib.RECURSIVE_START_X, DPFib.RECURSIVE_START_Y); this.cmd("Step"); this.cmd("SetText", finalID, "fib(" + String(value) + ") = " + String(this.tableVals[value])); return this.commands; } DPFib.prototype.fibMem = function(value, xPos, ID) { this.cmd("CreateLabel", ID, "fib(" + String(value)+")", xPos, this.currentY, 0); this.cmd("SetHighlight", this.tableID[value], 1); // TODO: Add an extra pause here? this.cmd("Step"); if (this.tableVals[value] >= 0) { this.cmd("Delete", ID, "fib(" + String(value)+")", xPos, this.currentY, 0); this.cmd("CreateLabel", ID, this.tableVals[value], this.tableXPos[value] - 5, this.tableYPos[value] - 5, 0); this.cmd("Move", ID, xPos, this.currentY); this.cmd("Step") this.cmd("SetHighlight", this.tableID[value], 0); return this.tableVals[value]; } this.cmd("SetHighlight", this.tableID[value], 0); this.currentY += DPFib.RECURSIVE_DELTA_Y; this.cmd("SetForegroundColor", this.codeID[0][1], DPFib.CODE_HIGHLIGHT_COLOR); this.cmd("Step"); this.cmd("SetForegroundColor", this.codeID[0][1], DPFib.CODE_STANDARD_COLOR); this.cmd("SetForegroundColor", this.codeID[1][1], DPFib.CODE_HIGHLIGHT_COLOR); this.cmd("Step"); this.cmd("SetForegroundColor", this.codeID[1][1], DPFib.CODE_STANDARD_COLOR); if (value > 1) { var firstID = this.nextIndex++; var secondID = this.nextIndex++; this.cmd("SetForegroundColor", this.codeID[4][1], DPFib.CODE_HIGHLIGHT_COLOR); this.cmd("Step"); this.cmd("SetForegroundColor", this.codeID[4][1], DPFib.CODE_STANDARD_COLOR); var firstValue = this.fibMem(value-1, xPos + DPFib.RECURSIVE_DELTA_X, firstID); this.currentY += DPFib.RECURSIVE_DELTA_Y; this.cmd("SetForegroundColor", this.codeID[4][3], DPFib.CODE_HIGHLIGHT_COLOR); this.cmd("Step"); this.cmd("SetForegroundColor", this.codeID[4][3], DPFib.CODE_STANDARD_COLOR); var secondValue = this.fibMem(value-2, xPos + DPFib.RECURSIVE_DELTA_X, secondID); this.cmd("SetForegroundColor", this.codeID[4][1], DPFib.CODE_RECURSIVE_1_COLOR); this.cmd("SetForegroundColor", firstID, DPFib.CODE_RECURSIVE_1_COLOR); this.cmd("SetForegroundColor", this.codeID[4][2], DPFib.CODE_HIGHLIGHT_COLOR); this.cmd("SetForegroundColor", this.codeID[4][3], DPFib.CODE_RECURSIVE_2_COLOR); this.cmd("SetForegroundColor", secondID, DPFib.CODE_RECURSIVE_2_COLOR); this.cmd("Step"); this.cmd("SetForegroundColor", this.codeID[4][1], DPFib.CODE_STANDARD_COLOR); this.cmd("SetForegroundColor", this.codeID[4][2], DPFib.CODE_STANDARD_COLOR); this.cmd("SetForegroundColor", this.codeID[4][3], DPFib.CODE_STANDARD_COLOR); this.cmd("Delete", firstID); this.cmd("Delete", secondID); this.cmd("SetText", ID, firstValue + secondValue); this.cmd("Step"); this.tableVals[value] = firstValue + secondValue; this.currentY = this.currentY - 2 * DPFib.RECURSIVE_DELTA_Y; this.cmd("CreateLabel", this.nextIndex, this.tableVals[value], xPos+5, this.currentY + 5); this.cmd("Move", this.nextIndex, this.tableXPos[value], this.tableYPos[value], this.currentY); this.cmd("Step"); this.cmd("Delete", this.nextIndex); this.cmd("SetText", this.tableID[value], this.tableVals[value]); return firstValue + secondValue; } else { this.cmd("SetText", ID, "1"); this.cmd("SetForegroundColor", this.codeID[2][0], DPFib.CODE_HIGHLIGHT_COLOR); this.cmd("Step"); this.cmd("SetForegroundColor", this.codeID[2][0], DPFib.CODE_STANDARD_COLOR); this.tableVals[value] = 1; this.cmd("CreateLabel", this.nextIndex, this.tableVals[value], xPos + 5, this.currentY + 5); this.cmd("Move", this.nextIndex, this.tableXPos[value], this.tableYPos[value], this.currentY); this.cmd("Step"); this.cmd("Delete", this.nextIndex); this.cmd("SetText", this.tableID[value], this.tableVals[value]); this.currentY -= DPFib.RECURSIVE_DELTA_Y; return 1; } } DPFib.prototype.memoizedFib = function(value) { this.commands = []; this.clearOldIDs(); this.buildTable(value); this.currentY = DPFib.RECURSIVE_START_Y; var functionCallID = this.nextIndex++; this.oldIDs.push(functionCallID); var final = this.fibMem(value, DPFib.RECURSIVE_START_X, functionCallID); this.cmd("SetText", functionCallID, "fib(" + String(value) + ") = " + String(final)); return this.commands; } DPFib.prototype.enableUI = function(event) { for (var i = 0; i < this.controls.length; i++) { this.controls[i].disabled = false; } } DPFib.prototype.disableUI = function(event) { for (var i = 0; i < this.controls.length; i++) { this.controls[i].disabled = true; } } var currentAlg; function init() { var animManag = initCanvas(); currentAlg = new DPFib(animManag, canvas.width, canvas.height); }