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<!DOCTYPE html> <html> <head> <meta charset="UTF-8"> <title>Conway's Game of Life</title> <meta name="description" content="A cellular automation simulation in GoJS"> <meta name="viewport" content="width=device-width, initial-scale=1"> <!-- Copyright 1998-2020 by Northwoods Software Corporation. --> <script src="../release/go.js"></script> <script src="../assets/js/goSamples.js"></script> <!-- this is only for the GoJS Samples framework --> <script id="code"> // two dimensional array which will represent the board state // this will be filled with Nodes once they are created var goLGrid = []; // the size of the board var rows = 40; var cols = 40; var interval = 15; // the interval between steps in ms when the simulation is enabled var initializing = true; var enabled = false; // flag to turn the simulation on or off var myDiagram; function init() { if (window.goSamples) goSamples(); // init for these samples -- you don't need to call this var $ = go.GraphObject.make; myDiagram = $(go.Diagram, "myDiagramDiv", { "animationManager.isEnabled": false, // disable movement/edit controls, since the myDiagram is a static grid "panningTool.isEnabled": false, isReadOnly: true, allowZoom: false, allowSelect: false, hasHorizontalScrollbar: false, hasVerticalScrollbar: false, initialAutoScale: go.Diagram.Uniform }); var nodeSize = 25; var nodeDataArray = []; // array to hold Node data for the model // populate data array by initializing Nodes in a grid and setting their "isAlive" state to false for (var i = 0; i < rows; i++) { var row = new Array(cols); for (var j = 0; j < cols; j++) { nodeDataArray.push({ location: new go.Point(j * nodeSize, i * nodeSize), row: i, col: j, isAlive: false }); } goLGrid.push(row); } // stroke color and width of the grid lines var gridStroke = "#A2A2A2"; var gridStrokeWidth = 1; // define the node template, which also includes interactive functionality, such as clicking to toggle a node's state myDiagram.nodeTemplate = $(go.Part, { isLayoutPositioned: false, mouseEnter: function(e, part, prev) { // set mouseover border if (!initializing && !enabled) { var shape = part.elt(0); if (shape) { shape.stroke = "steelblue"; shape.strokeWidth = 3; } part.zOrder = 2; // ensure that the selection border is in front of all other Nodes by increasing its zOrder // drag with a button down to add or erase cells if ((e.buttons === 1 && !part.data.isAlive) || (e.buttons === 2 && part.data.isAlive)) { select(part); } } }, mouseLeave: function(e, part, next) { // restore to original borders var shape = part.elt(0); if (shape) { shape.stroke = gridStroke; shape.strokeWidth = gridStrokeWidth } part.zOrder = 1; }, click: function(e, part) { // left click to toggle cell initializing = false; if (!enabled) { select(part); } }, contextClick: function(e, part) { // right click to clear cell initializing = false; if (!enabled && part.data.isAlive) { select(part); } }, zOrder: 1 }, $(go.Shape, { figure: "Rectangle", fill: "white", stroke: gridStroke, strokeWidth: gridStrokeWidth, width: nodeSize, height: nodeSize }), new go.Binding("location"), ); // use a simple model for our node data myDiagram.model = new go.Model(nodeDataArray); // myDiagram.parts is populated after a model is assigned; // populate the internal gamestate array with the newly created nodes for (var it = myDiagram.parts.iterator; it.next(); ) { var part = it.value; goLGrid[part.data.row][part.data.col] = part; } // load the default sample var e = document.getElementById("samplePatterns"); loadSample(e.options[e.selectedIndex].value); } // toggles a given node's state, both visually and in the internal gamestate function select(part) { var shape = part.elt(0); if (shape) { if (shape.fill === "white") { shape.fill = "steelblue"; } else { shape.fill = "white"; } }; part.data.isAlive = !part.data.isAlive; } // toggles the state of the simulation, changing the button text from "Start" to "Pause" or back again function toggleSimulation() { initializing = false; var button = document.getElementById("start"); if (!enabled) { button.value = "Pause"; enabled = true; goLStep(); } else { button.value = "Start"; enabled = false; } } // the callback for the step button, only steps forward if the simulation is currently stopped function stepOnclick() { initializing = false; if (!enabled) { goLStep(true); } } // performs a single step in the Game of Life function goLStep(isManualStep) { if (goLGrid.length === 0) { return; // don't do anything if things aren't initialized yet } var isAlive = false; var toSelect = []; var liveCellCount = 0; // count the number of live cells to determine if there are no more left for (var i = 0; i < rows; i++) { for (var j = 0; j < cols; j++) { if (isAlive) { liveCellCount++; } // count the number of cells in the 8 squares adjacent to this one var total = 0; var above = goLGrid[i > 0 ? i - 1 : rows - 1]; var below = goLGrid[i + 1 < rows ? i + 1 : 0]; var left = j > 0 ? j - 1 : cols - 1; var right = j + 1 < cols ? j + 1 : 0; total += above[left].data.isAlive; total += above[j].data.isAlive; total += above[right].data.isAlive; total += goLGrid[i][left].data.isAlive; total += goLGrid[i][right].data.isAlive; total += below[left].data.isAlive; total += below[j].data.isAlive; total += below[right].data.isAlive; // toggle the cell if necessary according to the three rules var part = goLGrid[i][j]; isAlive = part.data.isAlive; if ((total <= 1 && isAlive) || (total > 3 && isAlive) || (total === 3 && !isAlive)) { if (!isAlive) { liveCellCount++; } else { liveCellCount--; } toSelect.push(part); // don't actually toggle the cell yet, this happens all at once after everything is done } } } // change the board state according the earlier loop if (enabled || isManualStep) { for (var n of toSelect) { select(n); } } if (enabled) { if (liveCellCount === 0) { toggleSimulation(); // stop the simulation if there are no more live cells } else { setTimeout(goLStep, interval); // queue another step if the simuation is still enabled } } } // clear the board of all live cells, stopping the simulation if it's currently enabled function goLClear() { if (enabled) { toggleSimulation(); } for (var i = 0; i < rows; i++) { for (var j = 0; j < cols; j++) { var part = goLGrid[i][j]; if (part.data.isAlive) { select(part); } } } } // this function contains all of the data for the four included sample patterns as well as the logic for drawing them function loadSample(value) { goLClear(); // clear the board first, stopping the simulation if it's enabled // select the correct sample data based on the option value passed to the function var sampleData = []; switch (value) { case "symm4": sampleData = [ [ , , , , , , , , , , 1, 1, 1, , , , , , , , 0], [ , , , , , , , , , , 1, , , 1, , , , , , , 0], [ , , , , , , , , , , 1, , , 1, , , , , , , 0], [ , , , , , , , , , , , , 1, 1, , , , , , , 0], [ , , , , , , , , , , , , , , , , , , , , 0], [ , , , , , , , , , , , , , , , , , , , , 0], [ , , , , , , , , , , , , , , , , , , , , 0], [ , 1, 1, 1, , , , , , , , , , , , , , , , , 0], [1, , , 1, , , , , , , , , , , , , , , , , 0], [1, , , , , , , , , , , , , , , , , , , , 0], [1, 1, 1, , , , , , , , , , , , , , , , 1, 1, 1], [ , , , , , , , , , , , , , , , , , , , , 1], [ , , , , , , , , , , , , , , , , , 1, , , 1], [ , , , , , , , , , , , , , , , , , 1, 1, 1, 0], [ , , , , , , , , , , , , , , , , , , , , 0], [ , , , , , , , , , , , , , , , , , , , , 0], [ , , , , , , , , , , , , , , , , , , , , 0], [ , , , , , , , 1, 1, , , , , , , , , , , , 0], [ , , , , , , , 1, , , 1, , , , , , , , , , 0], [ , , , , , , , 1, , , 1, , , , , , , , , , 0], [ , , , , , , , , 1, 1, 1, , , , , , , , , , 0] ]; break; case "pulsar": sampleData = [ [ , 1, 1, 1, , , , 1, 1, 1, 0], [1, , , , 1, , 1, , , , 1], [1, , , , 1, , 1, , , , 1], [1, , , , 1, , 1, , , , 1], [ , 1, 1, 1, , , , 1, 1, 1, 0], [ , , , , , , , , , , 0], [ , 1, 1, 1, , , , 1, 1, 1, 0], [1, , , , 1, , 1, , , , 1], [1, , , , 1, , 1, , , , 1], [1, , , , 1, , 1, , , , 1], [ , 1, 1, 1, , , , 1, 1, 1, 0] ] break; case "spaceships": sampleData = [ [1, , , 1, , , , , , , , , , , , , 0], [ , , , , 1, , , , , , , , , , , , 0], [1, , , , 1, , , , , , , , , , , , 0], [ , 1, 1, 1, 1, , , , , , , , , , , , 0], [ , , , , , , , , , , , , , , , , 0], [ , , , , , , , , , , , , , , , , 0], [ , , , , , , , , , , , , , , , , 0], [ , , , , , , , , , , , , , , , , 0], [ , , , , , , , , , , , , , , , , 0], [ , , , , , , , , , , , , , , , , 0], [ , , , , , , , , , , , , , , 1, , 0], [ , , , , , , , , , , , , 1, , , , 1], [ , , , , , , , , , , , 1, , , , , 0], [ , , , , , , , , , , , 1, , , , , 1], [ , , , , , , , , , , , 1, 1, 1, 1, 1, 0], [ , , , , , , , , , , , , , , , , 0], [ , , , , , , , , , , , , , , , , 0], [ , , , , , , , , , , , , , , , , 0], [ , , , , , , , , , , , , , , , , 0], [ , , , , , , , , , , , , , , , , 0], [ , , , , , , , , , , , , , , , , 0], [ , , , , , , , , , , , , , , , , 0], [ , , , , , 1, , 1, 1, , , , , , , , 0], [ , , , , 1, , , , , , , 1, , , , , 0], [ , , , 1, 1, , , , 1, , , 1, , , , , 0], [1, 1, , 1, , , , , , 1, 1, , , , , , 0], [1, 1, , 1, , , , , , 1, 1, , , , , , 0], [ , , , 1, 1, , , , 1, , , 1, , , , , 0], [ , , , , 1, , , , , , , 1, , , , , 0], [ , , , , , 1, , 1, 1, , , , , , , , 0] ] break; case "bigGliders": sampleData = [ [ , , , , , , , , , , , , , 1, 1, 1, , , , , , , , , , , , 0], [ , , , , , , , , , , , , , 1, , , 1, 1, 1, , , , , , , , , 0], [ , , , , , , , , , , , , , , 1, , 1, , , , , , , , , , , 0], [ , , , , , , , , , , 1, 1, , , , , , , , 1, , , , , , , , 0], [ , , , , , , , , , , 1, , 1, , , , , 1, , , 1, , , , , , , 0], [ , , , , , , , , , , 1, , , , , , , , , 1, 1, , , , , , , 0], [ , , , , , , , , , , , 1, 1, , , , , , , , , , , , , , , 0], [ , , , , , , , , , , , 1, , , 1, , , , , , 1, , 1, 1, , , , 0], [ , , , , , , , , , , , 1, , , , , , , , , , 1, 1, , 1, , , 0], [ , , , , , , , , , , , , , 1, , 1, , , , , , , 1, 1, , , 1, 0], [ , , , , , , , , , , , , , , 1, 1, , 1, , , , , 1, 1, , , , 1], [ , , , , , , , , , , , , , , , , , , 1, , , , , , , , 1, 0], [ , , , , , , , , , , , , , , , , , 1, 1, 1, 1, , , , 1, , 1, 0], [ , , , , , , , , , , , , , , , , , 1, , 1, 1, , , , 1, 1, 1, 1], [ , , , , , , , , , , , , , , , , , , 1, , , , 1, 1, , 1, , 0], [ , , , , , , , , 1, 1, , , , , , , , , , , , , , 1, 1, , , 0], [ , , , , , , , 1, 1, , , , , , , , , , , 1, , 1, 1, 1, , , , 0], [ , , , , , , , , , 1, , , , , , , , , , , 1, , , 1, , , , 0], [ , , , , , , , , , , , 1, 1, , , , , , , , , , , , , , , 0], [ , , , , , , , , , , 1, , , , , , , , , , , , , , , , , 0], [ , , , , , , , , , , , , , , , , , , , , , , , , , , , 0], [ , , , , , , , , , 1, , , 1, , , , , , , , , , , , , , , 0], [ , 1, 1, , , , , , 1, 1, , , , , , , , , , , , , , , , , , 0], [1, 1, , , , , , 1, , , , , , , , , , , , , , , , , , , , 0], [ , , 1, , , , , 1, , 1, , , , , , , , , , , , , , , , , , 0], [ , , , , 1, 1, , , 1, , , , , , , , , , , , , , , , , , , 0], [ , , , , 1, 1, , , , , , , , , , , , , , , , , , , , , , 0], ] break; } // draw the sample pattern in the middle of the board var startRow = Math.floor((rows / 2) - (sampleData.length / 2)); var startCol = Math.floor((cols / 2) - (sampleData[0].length / 2)); for (var i = startRow; i < startRow + sampleData.length; i++) { for (var j = startCol; j < startCol + sampleData[0].length; j++) { if (sampleData[i - startRow][j - startCol] === 1) { select(goLGrid[i][j]); } } } } </script> </head> <body onload="init()"> <div id="sample"> <div id="myDiagramDiv" style="border: solid 1px black; width:500px; height:500px"></div> <p> Game Controls: <input id="start" onclick="toggleSimulation()" type="button" value="Start" /> <input id="step" onclick="stepOnclick()" type="button" value="Step" /> <input id="clear" onclick="goLClear()" type="button" value="Clear" style="margin-bottom: 10px" /> Sample patterns: <select id="samplePatterns" onchange="loadSample(this.options[this.selectedIndex].value)" style="margin-bottom: 10px"> <option value="symm4">Symmetry</option> <option value="pulsar">Pulsar</option> <option value="spaceships">Spaceships</option> <option value="bigGliders">Big gliders</option> </select> </p> <p> This sample shows an implementation of <a href="https://en.wikipedia.org/wiki/Conway%27s_Game_of_Life">Conway's Game of Life</a> in GoJS. Conway's Game of Life is a simple cellular automaton devised by British mathematician John Horton Conway in 1970. To start or advance the simulation, use the controls above. </p> <p> Whether or not a given cell lives, dies, or is born in a step is determined by the number of live cells in the 8 squares adjacent to it. For a cell <i>x</i> with <i>n</i> adjacent live cells: </p> <ul> <li>If <i>n</i> &lt;= 1, cell <i>x</i> dies or stays dead (from underpopulation).</li> <li>If <i>n</i> &gt; 3, cell <i>x</i> dies or stays dead (from overpopulation).</li> <li>If <i>n</i> = 3, then <i>x</i> is born or stays alive.</li> <li>If <i>n</i> = 2, then <i>x</i> maintains its status.</li> </ul> <p> Though the rules are simple, they can produce complex patterns, some of which are shown in the dropdown above. To create your own patterns, click or drag anywhere on the grid when the simulation is not running. </p> <p> Each cell is implemented by a simple <a>Part</a> holding a small square <a>Shape</a>. </p> </div> </body> </html>