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JS/HTML5游戏常用算法之路径搜索算法 A*寻路算法完整实例
2020-11-27 22:02:36 责编:小采
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本文实例讲述了JS/HTML5游戏常用算法之路径搜索算法 A*寻路算法。分享给大家供大家参考,具体如下:

原理可参考:https://www.gxlcms.com/article/152744.htm

完整实例代码如下:

<!DOCTYPE html>
<html lang="en">
<head>
 <meta name="viewport" content="width=device-width, initial-scale=1.0, maximum-scale=1.0, user-scalable=0">
 <meta charset="UTF-8">
 <title>A*寻路算法</title>
 <style>
 #stage {
 border: 1px solid lightgray;
 }
 </style>
</head>
<body>
<canvas id="stage"></canvas>
</body>
<script>
 window.onload = function () {
 var stage = document.querySelector('#stage'),
 ctx = stage.getContext('2d');
 stage.width = 600;
 stage.height = 600;
 var row = 7, column = 7, r = 40;
 //取区域随机数x>=min && x<max
 function randInt(min, max) {
 max = max || 0;
 min = min || 0;
 var step = Math.abs(max - min);
 var st = (arguments.length < 2) ? 0 : min;//参数只有一个的时候,st = 0;
 var result;
 result = st + (Math.ceil(Math.random() * step)) - 1;
 return result;
 }
 //普里姆算法生成连通图的二维数组 row 行 column 列
 function primMaze(r, c) {
 //初始化数组
 function init(r, c) {
 var a = new Array(2 * r + 1);
 //全部置1
 for (let i = 0, len = a.length; i < len; i++) {
 var cols = 2 * c + 1;
 a[i] = new Array(cols);
 for (let j = 0, len1 = a[i].length; j < len1; j++) {
 a[i][j] = 1;
 }
 }
 //中间格子为0
 for (let i = 0; i < r; i++)
 for (let j = 0; j < c; j++) {
 a[2 * i + 1][2 * j + 1] = 0;
 }
 return a;
 }
 //处理数组,产生最终的数组
 function process(arr) {
 //acc存放已访问队列,noacc存放没有访问队列
 var acc = [], noacc = [];
 var r = arr.length >> 1, c = arr[0].length >> 1;
 var count = r * c;
 for (var i = 0; i < count; i++) {
 noacc[i] = 0;
 }
 //定义空单元上下左右偏移
 var offs = [-c, c, -1, 1], offR = [-1, 1, 0, 0], offC = [0, 0, -1, 1];
 //随机从noacc取出一个位置
 var pos = randInt(count);
 noacc[pos] = 1;
 acc.push(pos);
 while (acc.length < count) {
 var ls = -1, offPos = -1;
 offPos = -1;
 //找出pos位置在二维数组中的坐标
 var pr = pos / c | 0, pc = pos % c, co = 0, o = 0;
 //随机取上下左右四个单元
 while (++co < 5) {
 o = randInt(0, 5);
 ls = offs[o] + pos;
 var tpr = pr + offR[o];
 var tpc = pc + offC[o];
 if (tpr >= 0 && tpc >= 0 && tpr <= r - 1 && tpc <= c - 1 && noacc[ls] == 0) {
 offPos = o;
 break;
 }
 }
 if (offPos < 0) {
 pos = acc[randInt(acc.length)];
 }
 else {
 pr = 2 * pr + 1;
 pc = 2 * pc + 1;
 //相邻空单元中间的位置置0
 arr[pr + offR[offPos]][pc + offC[offPos]] = 0;
 pos = ls;
 noacc[pos] = 1;
 acc.push(pos);
 }
 }
 }
 var a = init(r, c);
 process(a);
 return a;
 //返回一个二维数组,行的数据为2r+1个,列的数据为2c+1个
 }
 //栅格线条
 function drawGrid(context, color, stepx, stepy) {
 context.strokeStyle = color;
 context.lineWidth = 0.5;
 for (var i = stepx + 0.5; i < context.canvas.width; i += stepx) {
 context.beginPath();
 context.moveTo(i, 0);
 context.lineTo(i, context.canvas.height);
 context.stroke();
 }
 for (var i = stepy + 0.5; i < context.canvas.height; i += stepy) {
 context.beginPath();
 context.moveTo(0, i);
 context.lineTo(context.canvas.width, i);
 context.stroke();
 }
 }
 //方块创造方法
 function createRect(x, y, r, c) {
 ctx.beginPath();
 ctx.fillStyle = c;
 ctx.rect(x, y, r, r);
 ctx.fill();
 }
 //定义点对象【a*点对象】
 function Point(x, y) {
 this.x = x;
 this.y = y;
 this.parent = null;
 this.f = 0;
 this.g = 0;
 this.h = 0;
 //当前点状态,0:表示在openlist 1:表示closelist,-1表示还没处理
 this.state = -1;
 //flag表明该点是否可通过
 this.flag = 0;
 }
 //把普通二维数组(全部由1,0表示)的转换成a*所需要的点数组
 function convertArrToAS(arr) {
 var r = arr.length, c = arr[0].length;
 var a = new Array(r);
 for (var i = 0; i < r; i++) {
 a[i] = new Array(c);
 for (var j = 0; j < c; j++) {
 var pos = new Point(i, j);
 pos.flag = arr[i][j];
 a[i][j] = pos;
 }
 }
 return a;
 }
 //A*算法,pathArr表示最后返回的路径
 function findPathA(pathArr, start, end, row, col) {
 //添加数据到排序数组中
 function addArrSort(descSortedArr, element, compare) {
 var left = 0;
 var right = descSortedArr.length - 1;
 var mid = (left + right) >> 1;
 while (left <= right) {
 var mid = (left + right) >> 1;
 if (compare(descSortedArr[mid], element) == 1) {
 left = mid + 1;
 }
 else if (compare(descSortedArr[mid], element) == -1) {
 right = mid - 1;
 }
 else {
 break;
 }
 }
 for (var i = descSortedArr.length - 1; i >= left; i--) {
 descSortedArr[i + 1] = descSortedArr[i];
 }
 descSortedArr[left] = element;
 }
 //判断两个点是否相同
 function pEqual(p1, p2) {
 return p1.x == p2.x && p1.y == p2.y;
 }
 //获取两个点距离,采用曼哈顿方法
 function posDist(pos, pos1) {
 return (Math.abs(pos1.x - pos.x) + Math.abs(pos1.y - pos.y));
 }
 function between(val, min, max) {
 return (val >= min && val <= max)
 }
 //比较两个点f值大小
 function compPointF(pt1, pt2) {
 return pt1.f - pt2.f;
 }
 //处理当前节点
 function processCurrpoint(arr, openList, row, col, currPoint, destPoint) {
 //get up,down,left,right direct
 var ltx = currPoint.x - 1;
 var lty = currPoint.y - 1;
 for (var i = 0; i < 3; i++){
 for (var j = 0; j < 3; j++) {
 var cx = ltx + i;
 var cy = lty + j;
 if ((cx === currPoint.x || cy === currPoint.y) && between(ltx, 0, row - 1) && between(lty, 0, col - 1)) {
 var tp = arr[cx][cy];
 if (tp.flag === 0 && tp.state !== 1) {
 if (pEqual(tp, destPoint)) {
 tp.parent = currPoint;
 return true;
 }
 if (tp.state === -1) {
 tp.parent = currPoint;
 tp.g = 1 + currPoint.g;
 tp.h = posDist(tp, destPoint);
 tp.f = tp.h + tp.f;
 tp.state = 0;
 addArrSort(openList, tp, compPointF);
 }
 else {
 var g = 1 + currPoint.g;
 if (g < tp.g) {
 tp.parent = currPoint;
 tp.g = g;
 tp.f = tp.g + tp.h;
 openList.quickSort(compPointF);
 }
 }
 }
 }
 }
 }
 return false;
 }
 //定义openList
 var openList = [];
 //定义closeList
 var closeList = [];
 start = pathArr[start[0]][start[1]];
 end = pathArr[end[0]][end[1]];
 //添加开始节点到openList;
 addArrSort(openList, start, compPointF);
 var finded = false;
 while ((openList.length > 0)) {
 var currPoint = openList.pop();
 currPoint.state = 1;
 closeList.push(currPoint);
 finded = processCurrpoint(pathArr, openList, row, col, currPoint, end);
 if (finded) {
 break;
 }
 }
 if (finded) {
 var farr = [];
 var tp = end.parent;
 farr.push(end);
 while (tp != null) {
 farr.push(tp);
 tp = tp.parent;
 }
 return farr;
 }
 else {
 return null;
 }
 }
 //定位屏幕坐标到数组位置
 function mapSCPos(i, j) {
 return [i / r | 0, j / r | 0];
 }
 //检测数组中的位置是否存在方块
 function mapHasRect(map, i, j) {
 return (map[i][j]);
 }
 var mapArr = primMaze(row, column);
 var startRect = {
 x: function () {
 for (var i = 0, len = mapArr.length; i < len; i++) {
 for (var j = 0, len1 = mapArr[i].length; j < len1; j++) {
 if (!mapArr[i][j]) {
 return j * r;
 break;
 }
 }
 }
 }(),
 y: function () {
 for (var i = 0, len = mapArr.length; i < len; i++) {
 for (var j = 0, len1 = mapArr[i].length; j < len1; j++) {
 if (!mapArr[i][j]) {
 return i * r;
 break;
 }
 }
 }
 }(),
 pos: function () {
 return [this.x, this.y];
 }
 },
 endRect = {
 hasCreate:false,
 x:null,
 y:null,
 pos: function () {
 return [this.x, this.y];
 }
 },
 startPoint = mapSCPos(startRect.pos()[1], startRect.pos()[0]),
 endPoint,
 path = null,
 next = null;
 //计算路经
 function update() {
 ctx.clearRect(0, 0, 600, 600);
 drawGrid(ctx, 'lightgray', r, r);
 //根据地图二维数组创建色块
 for (var i = 0, len = mapArr.length; i < len; i++) {
 for (var j = 0, len1 = mapArr[i].length; j < len1; j++) {
 if (mapArr[i][j]) {
 createRect(j * r, i * r, r, "black");
 }
 }
 }
 //绘制开始方块
 createRect(startRect.x, startRect.y, r, "red");
 if (endRect.hasCreate) {
 //绘制跟随方块
 createRect(endRect.pos()[0], endRect.pos()[1], r, "blue");
 endPoint = mapSCPos(endRect.pos()[1], endRect.pos()[0]);
 if(path === null){
 var ASmap = convertArrToAS(mapArr);
 path = findPathA(ASmap, startPoint, endPoint, ASmap.length, ASmap.length);
 }else{
 next = path.pop();
 startRect.y = next.x * r;
 startRect.x = next.y * r;
 if(path.length===0){
 startPoint = mapSCPos(startRect.pos()[1], startRect.pos()[0]);
 path = null;
 endRect.hasCreate = false;
 }
 }
 }
 requestAnimationFrame(update);
 }
 update();
 stage.addEventListener('click', function () {
 //标准的获取鼠标点击相对于canvas画布的坐标公式
 var x = event.clientX - stage.getBoundingClientRect().left,
 y = event.clientY - stage.getBoundingClientRect().top;
 var endRectPos = mapSCPos(y, x);//[i,j]
 endRect.x = endRectPos[1]*r;
 endRect.y = endRectPos[0]*r;
 if (mapHasRect(mapArr, endRectPos[0], endRectPos[1])) {
 console.log('这个位置已经有方块啦!');
 } else {
 endRect.pos();
 endRect.hasCreate = true;
 }
 })
 };
</script>
</html>

使用在线HTML/CSS/JavaScript代码运行工具:http://tools.jb51.net/code/HtmlJsRun,测试运行上述代码,可得到如下运行效果:

更多关于JavaScript相关内容感兴趣的读者可查看本站专题:《JavaScript数算用法总结》、《JavaScript数据结构与算法技巧总结》、《JavaScript数组操作技巧总结》、《JavaScript排序算法总结》、《JavaScript遍历算法与技巧总结》、《JavaScript查找算法技巧总结》及《JavaScript错误与调试技巧总结》

希望本文所述对大家JavaScript程序设计有所帮助。

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