├── img └── glyphicons-halflings.png ├── readme.txt ├── scripts ├── mazes │ ├── g.js │ ├── little.js │ ├── vortex.js │ ├── obstacles.js │ ├── bounce.js │ ├── big.js │ ├── 61x61.js │ └── 201x201.js ├── maze.js ├── tremauxAlgorithm.js ├── controller.js ├── commonManager.js ├── init.js ├── walker.js └── aStarAlgorithm.js ├── css ├── style.css ├── bootstrap-responsive.min.css └── bootstrap.min.css └── index.html /img/glyphicons-halflings.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/primaryobjects/maze/HEAD/img/glyphicons-halflings.png -------------------------------------------------------------------------------- /readme.txt: -------------------------------------------------------------------------------- 1 | Maze Solver 2 | 3 | A simple maze solver, created with Javascript and HTML5. Traverses a maze and uses a depth-first search (called Tremaux's algorithm) to find its way through. Includes the ability to create your own maze with JSON, right in the url. 4 | 5 | See the demo at http://www.primaryobjects.com/maze 6 | -------------------------------------------------------------------------------- /scripts/mazes/g.js: -------------------------------------------------------------------------------- 1 | var maze = {start: {x: 3, y: 0}, 2 | end: {x: 6, y: 0}, 3 | width: 20, 4 | height: 10, 5 | map: '\ 6 | *** ** *************\ 7 | *** *************\ 8 | ** **** ***\ 9 | * **** ******* ***\ 10 | * **** ******** *\ 11 | * **** *********** *\ 12 | * **** *** *\ 13 | * ************** **\ 14 | * ***\ 15 | ********************\ 16 | '}; -------------------------------------------------------------------------------- /scripts/mazes/little.js: -------------------------------------------------------------------------------- 1 | var maze = {start: {x: 2, y: 0}, 2 | end: {x: 19, y: 3}, 3 | width: 20, 4 | height: 10, 5 | speed: 50, 6 | map: '\ 7 | ** *****************\ 8 | ** **** *\ 9 | ** ***** ******\ 10 | ** ********* \ 11 | * ********* *******\ 12 | ** ****** *** ***\ 13 | ***** * *** ***\ 14 | ** **** * ***\ 15 | ** *** ***** *\ 16 | ********************\ 17 | '}; -------------------------------------------------------------------------------- /scripts/maze.js: -------------------------------------------------------------------------------- 1 | function mazeManager(context, maze) { 2 | this.context = context, 3 | this.width = maze.width, 4 | this.height = maze.height, 5 | this.start = maze.start, 6 | this.end = maze.end, 7 | this.maze = maze.map, 8 | 9 | this.draw = function(drawClear) { 10 | for (var y=0; y < this.height; y++) { 11 | for (var x=0; x < this.width; x++) { 12 | if (this.isWall(x, y)) { 13 | this.context.fillStyle = 'black'; 14 | this.context.fillRect(x * 10, y * 10, 10, 10); 15 | } 16 | else if (drawClear) { 17 | this.context.fillStyle = 'white'; 18 | this.context.fillRect(x * 10, y * 10, 10, 10); 19 | } 20 | } 21 | } 22 | }, 23 | 24 | this.isWall = function(x, y) { 25 | return (x < 0 || y < 0 || this.maze[x + (y * this.width)] == '*'); 26 | }, 27 | 28 | this.isOpen = function(x, y) { 29 | return !this.isWall(x,y); 30 | } 31 | }; -------------------------------------------------------------------------------- /css/style.css: -------------------------------------------------------------------------------- 1 | /* Base class */ 2 | .bs-docs-example { 3 | position: relative; 4 | margin: 15px 0; 5 | padding: 39px 19px 14px; 6 | *padding-top: 19px; 7 | background-color: #fff; 8 | border: 1px solid #ddd; 9 | -webkit-border-radius: 4px; 10 | -moz-border-radius: 4px; 11 | border-radius: 4px; 12 | } 13 | 14 | /* Echo out a label for the example */ 15 | .bs-docs-example:after { 16 | content: "Example"; 17 | position: absolute; 18 | top: -1px; 19 | left: -1px; 20 | padding: 3px 7px; 21 | font-size: 12px; 22 | font-weight: bold; 23 | background-color: #f5f5f5; 24 | border: 1px solid #ddd; 25 | color: #9da0a4; 26 | -webkit-border-radius: 4px 0 4px 0; 27 | -moz-border-radius: 4px 0 4px 0; 28 | border-radius: 4px 0 4px 0; 29 | } 30 | 31 | /* Remove spacing between an example and it's code */ 32 | .bs-docs-example + .prettyprint { 33 | margin-top: -20px; 34 | padding-top: 15px; 35 | } -------------------------------------------------------------------------------- /scripts/mazes/vortex.js: -------------------------------------------------------------------------------- 1 | var maze = {start: {x: 23, y: 0}, 2 | end: {x: 22, y: 19}, 3 | width: 50, 4 | height: 20, 5 | map: '\ 6 | *********************** **************************\ 7 | *********************** *************************\ 8 | ************************ ************************\ 9 | ************************* ***********************\ 10 | ************************** **********\ 11 | *************************************** *********\ 12 | **************** ***** ********\ 13 | ************* ***************** **** *******\ 14 | ********** **** ****** **** ******\ 15 | ******** **** ********** **** ** *****\ 16 | ******** ****** ******* ***** **** *** ****\ 17 | ******** ****** ****** **** **** **** ***\ 18 | ******** ******** ****** **** ***** ***\ 19 | ********** ******** ********** ***** ***\ 20 | ************** ******** *** ***** ***\ 21 | ****************** ********* ****** *****\ 22 | ********************* ************* *******\ 23 | ********************** ** ******* **********\ 24 | ********************** ***** *************\ 25 | ********************** ***************************\ 26 | '}; -------------------------------------------------------------------------------- /scripts/mazes/obstacles.js: -------------------------------------------------------------------------------- 1 | var maze = {start: {x: 1, y: 0}, 2 | end: {x: 47, y: 19}, 3 | width: 51, 4 | height: 20, 5 | map: '\ 6 | * *************************************************\ 7 | * **\ 8 | * **\ 9 | * * **\ 10 | * * **\ 11 | * * **\ 12 | * * **\ 13 | * * **\ 14 | * * **\ 15 | * * **\ 16 | * * **\ 17 | * ************ **\ 18 | * **\ 19 | * **\ 20 | * **\ 21 | * **\ 22 | * **\ 23 | * **\ 24 | * **\ 25 | *********************************************** ***\ 26 | '}; -------------------------------------------------------------------------------- /scripts/tremauxAlgorithm.js: -------------------------------------------------------------------------------- 1 | function searchAlgorithm(walker) { 2 | this.walker = walker, 3 | this.direction = 0, 4 | this.end = walker.maze.end, 5 | 6 | this.step = function() { 7 | var startingDirection = this.direction; 8 | 9 | while (!this.walker.move(this.direction)) { 10 | // Hit a wall. Turn to the right. 11 | this.direction++; 12 | 13 | if (this.direction > 3) { 14 | this.direction = 0; 15 | } 16 | 17 | if (this.direction == startingDirection) { 18 | // We've turned in a complete circle with no new path available. Time to backtrack. 19 | while (!this.walker.move(this.direction, true)) { 20 | // Hit a wall. Turn to the right. 21 | this.direction++; 22 | 23 | if (this.direction > 3) { 24 | this.direction = 0; 25 | } 26 | } 27 | 28 | break; 29 | } 30 | } 31 | 32 | this.walker.draw(); 33 | }, 34 | 35 | this.isDone = function() { 36 | return (walker.x == walker.maze.end.x && walker.y == walker.maze.end.y); 37 | }, 38 | 39 | this.solve = function() { 40 | // Draw solution path. 41 | for (var x = 0; x < this.walker.maze.width; x++) { 42 | for (var y = 0; y < this.walker.maze.height; y++) { 43 | if (this.walker.visited[x][y] == 1) { 44 | this.walker.context.fillStyle = 'red'; 45 | this.walker.context.fillRect(x * 10, y * 10, 10, 10); 46 | } 47 | } 48 | } 49 | } 50 | }; -------------------------------------------------------------------------------- /scripts/controller.js: -------------------------------------------------------------------------------- 1 | function mazeController() { 2 | this.canvas = null, 3 | this.context = null, 4 | this.maze = null, 5 | this.walker = null, 6 | this.algorithm = null, 7 | this.speed = null, 8 | 9 | this.init = function(maze) { 10 | this.canvas = $('#imageView').get(0); 11 | this.context = this.canvas.getContext('2d'); 12 | 13 | // Auto-adjust canvas size to fit window. 14 | this.canvas.width = maze.width * 10; 15 | this.canvas.height = maze.height * 10; 16 | 17 | // Initialize speed. 18 | this.speed = maze.speed == null ? 50 : maze.speed; 19 | 20 | // Create maze. 21 | this.maze = new mazeManager(this.context, maze); 22 | this.maze.draw(); 23 | 24 | // Create walker at starting position. 25 | this.walker = new walkerManager(this.context, this.maze); 26 | this.walker.init(); 27 | 28 | // Initialize the maze algorithm. 29 | this.algorithm = new searchAlgorithm(this.walker); 30 | }, 31 | 32 | this.run = function() { 33 | if (!this.algorithm.isDone()) { 34 | this.algorithm.step(); 35 | 36 | window.setTimeout(function() { 37 | controller.run(); 38 | }, this.speed); 39 | } 40 | else { 41 | $('#btnGo').removeClass('disabled'); 42 | $('#btnGo').text('Go!'); 43 | 44 | // Clear map so we can draw the solution path. 45 | this.walker.maze.draw(true); 46 | 47 | // Draw the solution path. 48 | this.algorithm.solve(); 49 | } 50 | } 51 | }; -------------------------------------------------------------------------------- /scripts/commonManager.js: -------------------------------------------------------------------------------- 1 | var commonManager = { 2 | getParameterByName: function(name) { 3 | name = name.replace(/[\[]/, "\\\[").replace(/[\]]/, "\\\]"); 4 | var regexS = "[\\?&]" + name + "=([^&#]*)"; 5 | var regex = new RegExp(regexS); 6 | var results = regex.exec(window.location.search); 7 | if (results == null) { 8 | return ""; 9 | } 10 | else { 11 | return decodeURIComponent(results[1].replace(/\+/g, " ")); 12 | } 13 | }, 14 | 15 | readCustomMaze: function() { 16 | var param = commonManager.getParameterByName('maze'); 17 | if (param != null && param.length > 0) { 18 | var data = JSON.parse(param); 19 | if (data.map != null && data.width > 0 && data.height > 0) { 20 | // Valid maze data. 21 | maze = data; 22 | 23 | return true; 24 | } 25 | } 26 | 27 | return false; 28 | }, 29 | 30 | loadCustomMaze: function(filename) { 31 | if (filename != null) { 32 | // Load script instead. 33 | maze = null; 34 | this.loadScript(filename); 35 | 36 | return true; 37 | } 38 | 39 | return false; 40 | }, 41 | 42 | loadScript: function(filename) { 43 | var head = document.head || document.getElementsByTagName('head')[0]; 44 | var script = document.createElement("script"); 45 | script.type = 'text/javascript'; 46 | script.src = filename; 47 | head.insertBefore(script, head.firstChild); 48 | } 49 | }; -------------------------------------------------------------------------------- /scripts/mazes/bounce.js: -------------------------------------------------------------------------------- 1 | var maze = {start: {x: 23, y: 0}, 2 | end: {x: 22, y: 19}, 3 | width: 30, 4 | height: 50, 5 | map: '\ 6 | ******************************\ 7 | ******* ******** *** *\ 8 | ****** ** ****** ** * ***\ 9 | ***** **** *** **** ****\ 10 | ***** ** ** * ** ******* ****\ 11 | ***** ** ** ** ** ******* ****\ 12 | **** ** ** ** ** ******* ****\ 13 | **** *** ** ** ** ******* **\ 14 | **** *** ** ** ** ******* * **\ 15 | **** *** ** ** ** ******* * **\ 16 | **** *** ** ** ** ***** * **\ 17 | **** *** ** ** ** * **** * **\ 18 | **** *** ** ** ** ** **** * **\ 19 | **** *** ** ** ** ** **** * **\ 20 | **** *** ** ** ** ** **** * **\ 21 | **** *** ** ** ** ** **** * *\ 22 | **** *** ** ** ** ** **** ** *\ 23 | *** ** ** ** ** ** **** ** *\ 24 | *** *** *** ** ** ** **** ** *\ 25 | *** *** *** ** ** ** **** ** *\ 26 | *** *** *** ** * ** **** ** *\ 27 | *** *** *** ***** ** **** ** *\ 28 | *** *** *** ** ** ** *** ****\ 29 | *** *** *** ** ** *** *** ** *\ 30 | *** *** *** ** ** *** *** ** *\ 31 | *** *** *** ** ** *** *** ** *\ 32 | *** *** *** ** ** *** *** ** *\ 33 | *** ** *** ** ** *** *** ** *\ 34 | *** * **** ** ** *** *** ** *\ 35 | *** ***** ** ** *** *** ** *\ 36 | *** ******* ** ** ******* ** *\ 37 | *** ******* * ** *** *** ** *\ 38 | *** ******* *** ** *** ** *\ 39 | *** ** * *** * ** **** ** *\ 40 | ** ** ** * *** * ** **** ** *\ 41 | ** *** ** * *** * ** **** ** *\ 42 | ** *** ** * *** * ** **** ** *\ 43 | ** *** ** * *** * * **** ** *\ 44 | ** *** ** * *** * * ***** * *\ 45 | ** *** ** * *** * * ***** **\ 46 | ** *** ** * *** * * ***** ****\ 47 | ** *** ** * * * * ***** ****\ 48 | * *** ** ** ** * ***** ****\ 49 | * ** ** ** **** * ***** ****\ 50 | * **** ** **** ***** ****\ 51 | * ******* ** *** ******* ****\ 52 | * ******* * ** ***** ****\ 53 | * ******** * * *** *** ***\ 54 | * ******** * ****** ** **\ 55 | * ************************* **\ 56 | '}; -------------------------------------------------------------------------------- /scripts/mazes/big.js: -------------------------------------------------------------------------------- 1 | var maze = {start: {x: 42, y: 0}, 2 | end: {x: 49, y: 0}, 3 | width: 100, 4 | height: 20, 5 | map: '\ 6 | ****************************************** ****** **************************************************\ 7 | * **** ********** ** ***** * *********** *****\ 8 | * * ****** *** ***** *********** ********* ************************* *****\ 9 | * ****** ***** ************* *********** *********************** ***** * *****\ 10 | * ****** ***** **** **** * ***************** *********************** **** ***** ***** ****** ** **\ 11 | * ***** *** ************* ****** ***** ****** ** **\ 12 | * ****** ******************* ************* ***************************************** ** ** **\ 13 | * ****** ****** *** ****** ** ** **\ 14 | * ******************** ************ ******************************************** *** ****** ** ** **\ 15 | * ******************** ***** ** *********** ***** ** * ******* *** ****** ** ** **\ 16 | * ********* ******* **** ********** *********** **** * ** ** ****** *** ****** ** ** **\ 17 | * ******************** ******* **** ********** ** ** **** *** * ******* *** ****** ** ** **\ 18 | * ***** ******* ** ******* ** *** * ** ** ****** ** **\ 19 | * ***** ***************************** *********** * *** *** ** * ** **** ** ************* **\ 20 | * **** *** ******** ** *********** *********** ****************** ** *** *** *\ 21 | ** *** ** ******* ****** ***** ** *********** * *** * ** * ** *\ 22 | *** ** * ********* **** ****** * **************************************** * **** **** *** *\ 23 | **** ** *********** ** ******* ********************************************* **************** *\ 24 | ***** ************* ******** * ** **\ 25 | ****************************************************************************************************\ 26 | '}; -------------------------------------------------------------------------------- /scripts/init.js: -------------------------------------------------------------------------------- 1 | var controller = new mazeController(); 2 | 3 | $(function() { 4 | if (window.addEventListener) { 5 | window.addEventListener('load', function() { 6 | // Read any maze provided in the url querystring ?maze={start: {x: 3, y: 0}, end: {x: 6, y: 0}, width: 20, height: 10, map: '**** **** ...'} 7 | commonManager.readCustomMaze(); 8 | 9 | // Include the desired starting maze in maze.html (mazes/big.js, mazes/little.js, etc.) or via querystring. 10 | controller.init(maze); 11 | 12 | $('#btnGo').click(function() { 13 | if (!$('#btnGo').hasClass('disabled')) { 14 | $('#btnGo').addClass('disabled'); 15 | $('#btnGo').text('Running ..'); 16 | 17 | controller.init(maze); // clear maz 18 | controller.run(); 19 | } 20 | }); 21 | 22 | $('#detailsDiv').click(function() { 23 | if ($('#details').is(':visible')) { 24 | $('#detailsDivIcon').attr('class', 'icon-plus-sign'); 25 | } 26 | else { 27 | $('#detailsDivIcon').attr('class', 'icon-minus-sign'); 28 | } 29 | 30 | // Slide up/down the options. 31 | $("#details").slideToggle("fast"); 32 | }); 33 | 34 | $('#customDiv').click(function() { 35 | if ($('#custom').is(':visible')) { 36 | $('#customDivIcon').attr('class', 'icon-plus-sign'); 37 | } 38 | else { 39 | $('#customDivIcon').attr('class', 'icon-minus-sign'); 40 | } 41 | 42 | // Slide up/down the options. 43 | $("#custom").slideToggle("fast"); 44 | }); 45 | 46 | $('#customizeLink').click(function() { 47 | // Slide up/down the options. 48 | $("#custom").slideToggle("fast"); 49 | }); 50 | 51 | $('.loadMaze').click(function() { 52 | // Hide the details panel. 53 | $('#customDiv').click(); 54 | 55 | // Import the script into the browser. 56 | commonManager.loadCustomMaze($(this).data('file')); 57 | 58 | // Hide the canvas as show the loading text. 59 | $('#canvasDiv').hide(); 60 | $('#canvasStatus').text('loading maze ..'); 61 | 62 | // Wait for script to load. 63 | window.setTimeout(function() { $('#canvasStatus').text(''); $('#canvasDiv').show(); controller.init(maze); }, 3000); 64 | }); 65 | 66 | // Add click event on the radio buttons. 67 | $('div.btn-group[data-toggle-name=*]').each(function() { 68 | var group = $(this); 69 | var name = group.data('toggle-name'); 70 | var hidden = $('input[name="' + name + '"]'); 71 | $('button', group).each(function(){ 72 | var button = $(this); 73 | button.live('click', function(){ 74 | hidden.val($(this).val()); 75 | 76 | // De-select active button. 77 | $('button.active').removeClass('active'); 78 | 79 | // Set active button. 80 | button.addClass('active'); 81 | 82 | // Load algorithm script. 83 | this.algorithm = null; 84 | commonManager.loadScript($('#algorithmType').val()); 85 | }); 86 | }); 87 | }); 88 | }); 89 | } 90 | }); 91 | -------------------------------------------------------------------------------- /scripts/walker.js: -------------------------------------------------------------------------------- 1 | function walkerManager(context, maze) { 2 | this.context = context, 3 | this.maze = maze, 4 | this.x = maze.start.x, 5 | this.y = maze.start.y, 6 | this.lastX = -1, 7 | this.lastY = -1, 8 | this.visited = createArray(this.maze.width, this.maze.height), 9 | 10 | this.init = function() { 11 | // Clear array to all zeros. 12 | for (var x = 0; x < this.maze.width; x++) { 13 | for (var y = 0; y < this.maze.height; y++) { 14 | this.visited[x][y] = 0; 15 | } 16 | } 17 | 18 | // Set starting point. 19 | this.visited[this.x][this.y] = 1; 20 | 21 | // Draw starting point. 22 | this.draw(); 23 | }, 24 | 25 | this.draw = function() { 26 | this.context.fillStyle = 'rgb(255, 100, 100)'; 27 | this.context.fillRect(this.x * 10, this.y * 10, 10, 10); 28 | }, 29 | 30 | this.move = function(direction, backtrack) { 31 | var changed = false; 32 | oldX = this.x; 33 | oldY = this.y; 34 | 35 | if (backtrack || !this.hasVisited(direction)) { 36 | // Get the new x,y after moving. 37 | var point = this.getXYForDirection(direction); 38 | 39 | // Check if this is a valid move. 40 | if (this.canMove(point.x, point.y)) { 41 | this.x = point.x; 42 | this.y = point.y; 43 | changed = true; 44 | } 45 | } 46 | 47 | if (changed) { 48 | this.context.fillStyle = 'rgb(' + (backtrack ? 100 : 255) + ', 0, 0)'; 49 | this.context.fillRect(oldX * 10, oldY * 10, 10, 10); 50 | 51 | this.lastX = oldX; 52 | this.lastY = oldY; 53 | 54 | // Mark this tile as visited (possibly twice). 55 | this.visited[this.x][this.y]++; 56 | 57 | if (backtrack) { 58 | // We've turned around, so don't visit this last tile again. 59 | this.visited[this.lastX][this.lastY] = 2; 60 | } 61 | 62 | if (this.visited[oldX][oldY] == 2 && this.visited[this.x][this.y] == 1) { 63 | // Found an unwalked tile while backtracking. Mark our last tile back to 1 so we can visit it again to exit this path. 64 | this.visited[oldX][oldY] = 1; 65 | this.context.fillStyle = 'rgb(255, 0, 0)'; 66 | this.context.fillRect(oldX * 10, oldY * 10, 10, 10); 67 | } 68 | } 69 | 70 | return changed; 71 | }, 72 | 73 | this.canMove = function(x, y) { 74 | return (maze.isOpen(x, y) && this.visited[x][y] < 2); 75 | }, 76 | 77 | this.hasVisited = function(direction) { 78 | // Get the new x,y after moving. 79 | var point = this.getXYForDirection(direction); 80 | 81 | // Check if this point has already been visited. 82 | return (this.visited[point.x][point.y] > 0); 83 | }, 84 | 85 | this.getXYForDirection = function(direction) { 86 | var point = {}; 87 | 88 | switch (direction) { 89 | case 0: point.x = this.x; point.y = this.y - 1; break; 90 | case 1: point.x = this.x + 1; point.y = this.y; break; 91 | case 2: point.x = this.x; point.y = this.y + 1; break; 92 | case 3: point.x = this.x - 1; point.y = this.y; break; 93 | }; 94 | 95 | return point; 96 | } 97 | }; 98 | 99 | function createArray(length) { 100 | var arr = new Array(length || 0), 101 | i = length; 102 | 103 | if (arguments.length > 1) { 104 | var args = Array.prototype.slice.call(arguments, 1); 105 | while(i--) arr[length-1 - i] = createArray.apply(this, args); 106 | } 107 | 108 | return arr; 109 | } 110 | -------------------------------------------------------------------------------- /scripts/mazes/61x61.js: -------------------------------------------------------------------------------- 1 | var maze = {start: {x: 0, y: 1}, 2 | end: {x: 60, y: 59}, 3 | width: 61, 4 | height: 61, 5 | speed: 25, 6 | map: '\ 7 | *************************************************************\ 8 | * * * * * * * * *\ 9 | * *** * * * *** ***** * ***** * ***** * *** ***** ***** *** *\ 10 | * * * * * * * * * * * * * * * *\ 11 | * ***** * *************** *** * * * ********* *** *** *** * *\ 12 | * * * * * * * * * * * * * *\ 13 | ********* * *** * ***** * ******* * * * *** ******* *** *** *\ 14 | * * * * * * * * * * * * * * * * *\ 15 | *** * * * * * *** * * *** ********* * *** *** ***** * ***** *\ 16 | * * * * * * * * * * * * * * * * *\ 17 | * *** * * *** * * *** ***** * *** ***** ******* * ***** *****\ 18 | * * * * * * * * * * * * * * *\ 19 | *** * * ***** * * * * * * ***** ********* * * ***** ******* *\ 20 | * * * * * * * * * * * * * * * *\ 21 | * * * ************* ***** * ***** ********* * *** * * *** * *\ 22 | * * * * * * * * * * * * * * *\ 23 | * ***** * *** ***** * *** ***** *** * ********* *** ******* *\ 24 | * * * * * * * * * * * * * * *\ 25 | * * ******* ******* *** * * *********** * * * * * ***** *****\ 26 | * * * * * * * * * * * * * * *\ 27 | * *** * ********* ********* * * *** * ************* * ***** *\ 28 | * * * * * * * * * * * * * * * * * *\ 29 | * * *** * * * * ******* * *** * * * * * ***** * * *** * * ***\ 30 | * * * * * * * * * * * * * * * * * * *\ 31 | * *** * * ******* * * ***** * * * * ******* * * ******* *** *\ 32 | * * * * * * * * * * * * * * *\ 33 | * * *** ********* * *** ***** ***** * *** * *** ***** * *** *\ 34 | * * * * * * * * * * * * * * * * *\ 35 | * *** ***** * ******* *** * *** ******* ***** * * ***** * * *\ 36 | * * * * * * * * * * * * * * * * * * * *\ 37 | * * *** * * *** *** ********* *** * * * * * *** *** * * * * *\ 38 | * * * * * * * * * * * * * * * * * * * *\ 39 | * *********** * ***** * *** *** * *** * * *** * ***** * * * *\ 40 | * * * * * * * * * * * * * * * *\ 41 | * ***** * ***** * * ********* ********* * * ***** *** * *****\ 42 | * * * * * * * * * * * * * *\ 43 | * *** *** * * * * ***** * ***** *********** * * * * * ***** *\ 44 | * * * * * * * * * * * * * * * *\ 45 | *** *** *** ******* * ***** * ********* * *** * * *** *******\ 46 | * * * * * * * * * * * * * * * * * * *\ 47 | * *** * * ******* *** * * * *** * * * ***** * ***** *** * * *\ 48 | * * * * * * * * * * * * * * * * * * * *\ 49 | * * * * * * *** * * *** ***** * ***** *** *** *** * * * *** *\ 50 | * * * * * * * * * * * * * * * * *\ 51 | ***** ********* * ******* * *** * * * * * * * * ******* *****\ 52 | * * * * * * * * * * * * * * * *\ 53 | * ******* * * *** * ********* ***** *********** * * *** * * *\ 54 | * * * * * * * * * * * * * * * * * *\ 55 | *** * * *** *** * * * * * * *** * * * *** * ***** *** ***** *\ 56 | * * * * * * * * * * * * * * * * * *\ 57 | *** * * * *** * * * ********* * ******* *** * * *** *** * * *\ 58 | * * * * * * * * * * * * * * * * * *\ 59 | * ********* * ***** * * * * * *** *** * * *** ******* ***** *\ 60 | * * * * * * * * * * * * * * *\ 61 | * ********* * ***** * ***** *** *** ******* * ******* * * ***\ 62 | * * * * * * * * * * * * * * *\ 63 | *** ******* ***** * *** * * * *** *********** * ******* *** *\ 64 | * * * * * * * * * * * * * * * * * * *\ 65 | * ******* * * * * * * * * * * * * * *** *** *** * *** * * * *\ 66 | * * * * * * * * * * * * * \ 67 | *************************************************************\ 68 | '}; -------------------------------------------------------------------------------- /scripts/aStarAlgorithm.js: -------------------------------------------------------------------------------- 1 | function searchAlgorithm(walker) { 2 | this.context = walker.context, 3 | this.walker = walker, 4 | this.grid = walker.visited, 5 | this.start = new GraphNode(walker.maze.start.x, walker.maze.start.y, GraphNodeType.OPEN), 6 | this.end = new GraphNode(walker.maze.end.x, walker.maze.end.y, GraphNodeType.OPEN), 7 | this.diagonal = false, 8 | this.openHeap = null, 9 | this.isInit = false, 10 | this.done = false, 11 | this.solution = [], 12 | 13 | this.init = function() { 14 | for(var x = 0, xl = this.walker.maze.width; x < xl; x++) { 15 | for(var y = 0, yl = this.walker.maze.height; y < yl; y++) { 16 | node = new GraphNode(x, y, (walker.canMove(x, y) ? GraphNodeType.OPEN : GraphNodeType.WALL)); 17 | node.f = 0; 18 | node.g = 0; 19 | node.h = 0; 20 | node.cost = 1; 21 | node.visited = false; 22 | node.closed = false; 23 | node.parent = null; 24 | 25 | walker.visited[x][y] = node; 26 | } 27 | } 28 | 29 | this.start.g = 0; 30 | this.end.g = 0; 31 | 32 | this.openHeap = this.heap(); 33 | this.openHeap.push(this.start); 34 | }, 35 | 36 | this.heap = function() { 37 | return new BinaryHeap(function(node) { 38 | return node.f; 39 | }); 40 | }, 41 | 42 | this.step = function() { 43 | if (!this.isInit) { 44 | this.init(); 45 | this.isInit = true; 46 | } 47 | 48 | this.search(); 49 | }, 50 | 51 | this.search = function() { 52 | if (this.openHeap.size() > 0) { 53 | // Grab the lowest f(x) to process next. Heap keeps this sorted for us. 54 | var currentNode = this.openHeap.pop(); 55 | 56 | // End case -- result has been found, return the traced path. 57 | if(currentNode.x == this.end.x && currentNode.y == this.end.y) { 58 | var curr = currentNode; 59 | var ret = []; 60 | while(curr.parent) { 61 | ret.push(curr); 62 | curr = curr.parent; 63 | } 64 | 65 | this.done = true; 66 | this.solution = ret.reverse(); 67 | 68 | return; 69 | } 70 | 71 | this.context.fillStyle = 'rgb(255, 0, 0)'; 72 | this.context.fillRect(currentNode.x * 10, currentNode.y * 10, 10, 10); 73 | 74 | // Normal case -- move currentNode from open to closed, process each of its neighbors. 75 | currentNode.closed = true; 76 | 77 | // Find all neighbors for the current node. Optionally find diagonal neighbors as well (false by default). 78 | var neighbors = this.neighbors(this.grid, currentNode, this.diagonal); 79 | 80 | for(var i=0, il = neighbors.length; i < il; i++) { 81 | var neighbor = neighbors[i]; 82 | 83 | if(neighbor.closed || neighbor.isWall()) { 84 | // Not a valid node to process, skip to next neighbor. 85 | continue; 86 | } 87 | 88 | // The g score is the shortest distance from start to current node. 89 | // We need to check if the path we have arrived at this neighbor is the shortest one we have seen yet. 90 | // Include an additional cost for diagonals to help smoothing. 91 | var gScore = currentNode.g + neighbor.cost + (neighbor.diag ? 2 : 0); 92 | var beenVisited = neighbor.visited; 93 | 94 | if(!beenVisited || gScore < neighbor.g) { 95 | // Found an optimal (so far) path to this node. Take score for node to see how good it is. 96 | neighbor.visited = true; 97 | neighbor.parent = currentNode; 98 | neighbor.h = neighbor.h || (this.diagonal ? this.diagonalDistance(neighbor.pos, this.end.pos) : this.manhattan(neighbor.pos, this.end.pos)); 99 | neighbor.g = gScore; 100 | neighbor.f = neighbor.g + neighbor.h; 101 | 102 | if (!beenVisited) { 103 | // Pushing to heap will put it in proper place based on the 'f' value. 104 | this.context.fillStyle = 'rgb(255, 100, 100)'; 105 | this.context.fillRect(neighbor.x * 10, neighbor.y * 10, 10, 10); 106 | 107 | this.openHeap.push(neighbor); 108 | } 109 | else { 110 | // Already seen the node, but since it has been rescored we need to reorder it in the heap 111 | this.openHeap.rescoreElement(neighbor); 112 | } 113 | } 114 | } 115 | } 116 | else { 117 | // No more nodes. No solution found. 118 | this.done = true; 119 | } 120 | 121 | // No result was found - empty array signifies failure to find path. 122 | this.solution = []; 123 | }, 124 | 125 | this.manhattan = function(pos0, pos1) { 126 | // See list of heuristics: http://theory.stanford.edu/~amitp/GameProgramming/Heuristics.html 127 | var d1 = Math.abs (pos1.x - pos0.x); 128 | var d2 = Math.abs (pos1.y - pos0.y); 129 | 130 | return d1 + d2; 131 | }, 132 | 133 | this.diagonalDistance = function(pos0, pos1) { 134 | // See list of heuristics: http://theory.stanford.edu/~amitp/GameProgramming/Heuristics.html 135 | var d1 = Math.abs (pos1.x - pos0.x); 136 | var d2 = Math.abs (pos1.y - pos0.y); 137 | 138 | return (2 * Math.max(d1, d2)); 139 | }, 140 | 141 | this.neighbors = function(grid, node, diagonals) { 142 | var ret = []; 143 | var x = node.x; 144 | var y = node.y; 145 | 146 | // West 147 | if(grid[x-1] && grid[x-1][y]) { 148 | ret.push(grid[x-1][y]); 149 | } 150 | 151 | // East 152 | if(grid[x+1] && grid[x+1][y]) { 153 | ret.push(grid[x+1][y]); 154 | } 155 | 156 | // South 157 | if(grid[x] && grid[x][y-1]) { 158 | ret.push(grid[x][y-1]); 159 | } 160 | 161 | // North 162 | if(grid[x] && grid[x][y+1]) { 163 | ret.push(grid[x][y+1]); 164 | } 165 | 166 | if (diagonals) { 167 | 168 | // Southwest 169 | if(grid[x-1] && grid[x-1][y-1]) { 170 | ret.push(grid[x-1][y-1]); 171 | grid[x-1][y-1].diag = true; 172 | } 173 | 174 | // Southeast 175 | if(grid[x+1] && grid[x+1][y-1]) { 176 | ret.push(grid[x+1][y-1]); 177 | grid[x+1][y-1].diag = true; 178 | } 179 | 180 | // Northwest 181 | if(grid[x-1] && grid[x-1][y+1]) { 182 | ret.push(grid[x-1][y+1]); 183 | grid[x-1][y+1].diag = true; 184 | } 185 | 186 | // Northeast 187 | if(grid[x+1] && grid[x+1][y+1]) { 188 | ret.push(grid[x+1][y+1]); 189 | grid[x+1][y+1].diag = true; 190 | } 191 | } 192 | 193 | return ret; 194 | }, 195 | 196 | this.isDone = function() { 197 | return this.done; 198 | }, 199 | 200 | this.solve = function() { 201 | this.context.fillStyle = 'rgb(255, 0, 0)'; 202 | 203 | // Fill path. 204 | for (var i in this.solution) { 205 | this.context.fillRect(this.solution[i].x * 10, this.solution[i].y * 10, 10, 10); 206 | } 207 | 208 | // Fill starting point. 209 | this.context.fillRect(this.walker.maze.start.x * 10, this.walker.maze.start.y * 10, 10, 10); 210 | 211 | this.isInit = false; 212 | this.done = false; 213 | } 214 | }; 215 | 216 | var GraphNodeType = { OPEN: 0, WALL: 1 }; 217 | function GraphNode(x, y, type) { 218 | this.data = {}; 219 | this.x = x; 220 | this.y = y; 221 | this.pos = {x:x, y:y}; 222 | this.type = type; 223 | } 224 | GraphNode.prototype.isWall = function() { 225 | return this.type == GraphNodeType.WALL; 226 | }; 227 | 228 | function BinaryHeap(scoreFunction){ 229 | this.content = []; 230 | this.scoreFunction = scoreFunction; 231 | } 232 | 233 | BinaryHeap.prototype = { 234 | push: function(element) { 235 | // Add the new element to the end of the array. 236 | this.content.push(element); 237 | // Allow it to sink down. 238 | this.sinkDown(this.content.length - 1); 239 | }, 240 | 241 | pop: function() { 242 | // Store the first element so we can return it later. 243 | var result = this.content[0]; 244 | // Get the element at the end of the array. 245 | var end = this.content.pop(); 246 | // If there are any elements left, put the end element at the 247 | // start, and let it bubble up. 248 | if (this.content.length > 0) { 249 | this.content[0] = end; 250 | this.bubbleUp(0); 251 | } 252 | return result; 253 | }, 254 | remove: function(node) { 255 | 256 | var i = this.content.indexOf(node); 257 | 258 | // When it is found, the process seen in 'pop' is repeated 259 | // to fill up the hole. 260 | var end = this.content.pop(); 261 | if (i !== this.content.length - 1) { 262 | this.content[i] = end; 263 | if (this.scoreFunction(end) < this.scoreFunction(node)) 264 | this.sinkDown(i); 265 | else 266 | this.bubbleUp(i); 267 | } 268 | }, 269 | 270 | size: function() { 271 | return this.content.length; 272 | }, 273 | 274 | rescoreElement: function(node) { 275 | this.sinkDown(this.content.indexOf(node)); 276 | }, 277 | sinkDown: function(n) { 278 | // Fetch the element that has to be sunk. 279 | var element = this.content[n]; 280 | // When at 0, an element can not sink any further. 281 | while (n > 0) { 282 | // Compute the parent element's index, and fetch it. 283 | var parentN = ((n + 1) >> 1) - 1, 284 | parent = this.content[parentN]; 285 | // Swap the elements if the parent is greater. 286 | if (this.scoreFunction(element) < this.scoreFunction(parent)) { 287 | this.content[parentN] = element; 288 | this.content[n] = parent; 289 | // Update 'n' to continue at the new position. 290 | n = parentN; 291 | } 292 | // Found a parent that is less, no need to sink any further. 293 | else { 294 | break; 295 | } 296 | } 297 | }, 298 | 299 | bubbleUp: function(n) { 300 | // Look up the target element and its score. 301 | var length = this.content.length, 302 | element = this.content[n], 303 | elemScore = this.scoreFunction(element); 304 | 305 | while(true) { 306 | // Compute the indices of the child elements. 307 | var child2N = (n + 1) << 1, child1N = child2N - 1; 308 | // This is used to store the new position of the element, 309 | // if any. 310 | var swap = null; 311 | // If the first child exists (is inside the array)... 312 | if (child1N < length) { 313 | // Look it up and compute its score. 314 | var child1 = this.content[child1N], 315 | child1Score = this.scoreFunction(child1); 316 | // If the score is less than our element's, we need to swap. 317 | if (child1Score < elemScore) 318 | swap = child1N; 319 | } 320 | // Do the same checks for the other child. 321 | if (child2N < length) { 322 | var child2 = this.content[child2N], 323 | child2Score = this.scoreFunction(child2); 324 | if (child2Score < (swap === null ? elemScore : child1Score)) 325 | swap = child2N; 326 | } 327 | 328 | // If the element needs to be moved, swap it, and continue. 329 | if (swap !== null) { 330 | this.content[n] = this.content[swap]; 331 | this.content[swap] = element; 332 | n = swap; 333 | } 334 | // Otherwise, we are done. 335 | else { 336 | break; 337 | } 338 | } 339 | } 340 | }; -------------------------------------------------------------------------------- /index.html: -------------------------------------------------------------------------------- 1 | 2 | 3 | 4 | Simple Maze Solver in Javascript and HTML5 5 | 6 | 7 | 8 | 9 | 10 | 11 | 23 | 24 | 25 |
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Javascript Maze Solver

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A simple maze solver, created with Javascript and HTML5. Traverses a maze and uses either a depth-first search (Tremaux algorithm) or a smart search (A* search algorithm) to find its way through. Oh, did I mention you can make your own maze with JSON, right in the url?

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No HTML5? Seriously?

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.navbar-inner{padding-right:10px;padding-left:10px}}@media(min-width:980px){.nav-collapse.collapse{height:auto!important;overflow:visible!important}} 10 | -------------------------------------------------------------------------------- /scripts/mazes/201x201.js: -------------------------------------------------------------------------------- 1 | var maze = {start: {x: 0, y: 1}, 2 | end: {x: 200, y: 199}, 3 | width: 201, 4 | height: 201, 5 | speed: 5, 6 | map: '\ 7 | *********************************************************************************************************************************************************************************************************\ 8 | * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * *\ 9 | ***** * ***** * ***** * ***** * ***** *** * *** *** * * * * * ***** * * * *** *** ******* *** * * * *** * * ***** *** * * *** * *************** * * * *** *** *** *** * ******* * * *** * * * * * * * * *\ 10 | * * * * * * * * * * * * * * * * * * * * * 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