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41-可穿过对角线的A星寻路算法

  
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8.15.3 可穿过对角线的A*寻路算法

例8-15是在例8-14的基础上增加了穿过对角线选项,从而重新使用A寻路算法。前面的例子在使用astar.js的函数时都忽略了对角线节点,用户只需将A的search函数中的false改成true,就可以增加该功能。

//在例8-15中将search函数中的最后一个参数设置为true
var result = astar.search(graph.nodes, start, end, true);

如果在调用astar.search()函数时将最后一个参数从false改为true,那么得到的最短路径会有明显变化。新的路径如图8-15所示。

在前面的例子中,所有可移动区块的权值均为1。当使用A*寻路算法寻找最短路径时,算法会将自动考虑各个节点的权值。在后面的例子中,将增加一个具有较高权值的节点。

146.png

图8-15 在15×15的地图里使用可穿过对角线的A*寻路算法

例8-15 包含对角线的A*寻路算法的详细代码

<!doctype html>
<html lang="en">
<head>
<meta charset="UTF-8">
<title>Chapter 8 Example 15 - Larger A* Example with Diagonals</title>
<script src="modernizr.js"></script>
<script type='text/javascript' src='graph.js'></script>
<script type='text/javascript' src='astar.js'></script>
<script type="text/javascript">
window.addEventListener('load', eventWindowLoaded, false);
function eventWindowLoaded() {
  canvasApp();
}
function canvasSupport () {
  return Modernizr.canvas;
}
function canvasApp(){
  if (!canvasSupport()) {
        return;
  }else{
    var theCanvas = document.getElementById('canvas');
    var context = theCanvas.getContext('2d');
  }
  //设置区块地图
  var mapRows=15;
  var mapCols=15;
  var tileMap=[
  [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
  ,[0,1,1,1,1,1,1,1,1,1,1,1,1,1,0]
  ,[0,1,0,1,0,0,1,0,1,0,0,1,0,1,0]
  ,[0,1,0,1,0,0,1,0,1,0,0,1,0,1,0]
  ,[0,1,0,1,0,0,1,1,1,0,0,1,0,1,0]
  ,[0,1,1,1,1,1,0,0,0,1,1,1,1,1,0]
  ,[0,1,0,0,0,1,0,0,0,1,0,0,0,1,0]
  ,[0,1,1,1,1,1,0,0,0,1,1,1,1,1,0]
  ,[0,0,0,0,0,1,1,1,1,1,0,0,0,0,0]
  ,[0,1,1,1,1,1,0,0,0,1,1,1,1,1,0]
  ,[0,1,0,1,0,0,1,1,1,0,0,1,0,1,0]
  ,[0,1,0,1,0,0,1,0,1,0,0,1,0,1,0]
  ,[0,1,0,1,0,0,1,0,1,0,0,1,0,1,0]
  ,[0,1,1,1,1,1,1,1,1,1,1,1,1,1,0]
  ,[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
 ];
  console.log("tileMap.length=" , tileMap.length);
  //设置 a* graph
  var graph = new Graph(tileMap);
  var startNode={x:4,y:1}; //使用将地图翻转后的值
  var endNode={x:13,y:10};
  //创建节点列表
  var start = graph.nodes[startNode.x][startNode.y];
  var end = graph.nodes[endNode.x][endNode.y];
  var result = astar.search(graph.nodes, start, end, true);
  //加载图片表
  var tileSheet=new Image();
  tileSheet.addEventListener('load', eventSheetLoaded , false);
  tileSheet.src="tiles.png";
  function eventSheetLoaded() {
     drawScreen()
  }
  function drawScreen() {
     for (var rowCtr=0;rowCtr<mapRows;rowCtr++) {
        for (var colCtr=0;colCtr<mapCols;colCtr++){
           var tileId=tileMap[rowCtr][colCtr];
           var sourceX=Math.floor(tileId % 5) *32;
           var sourceY=Math.floor(tileId / 5) *32;
           context.drawImage(tileSheet, sourceX, sourceY,32,32,colCtr*32,
                      rowCtr*32,32,32);
        }
     }
     //在起始点绘制绿色圆圈
     context.beginPath();
     context.strokeStyle="green";
     context.lineWidth=5;
     context.arc((startNode.y*32)+16, (startNode.x*32)+16, 10, 0,
           (Math.PI/180) *360,false);
     context.stroke();
     context.closePath();
     //在终点绘制红色圆圈
     context.beginPath();
     context.strokeStyle="red";
     context.lineWidth=5;
     context.arc((endNode.y*32)+16, (endNode.x*32)+16, 10, 0,
           (Math.PI/180) *360,false);
     context.stroke();
     context.closePath();
     //在路径上绘制黑色圆圈
     for (var ctr=0;ctr<result.length-1;ctr++) {
        var node=result[ctr];
        context.beginPath();
        context.strokeStyle="black";
        context.lineWidth=5;
        context.arc((node.y*32)+16, (node.x*32)+16, 10, 0,
              (Math.PI/180) *360,false);
        context.stroke();
        context.closePath();
     }
  }
}
</script>
</head>
<body>
<div style="position: absolute; top: 50px; left: 50px;">
<canvas id="canvas" width="500" height="500">
Your browser does not support the HTML 5 Canvas.
</canvas>
</div>
</body>
</html>