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BFS.html
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<!DOCTYPE html>
<html lang="en">
<head>
<meta charset="UTF-8">
<title>BFS 算法</title>
<style>
body {
background: #ccc;
}
h1{text-align: center;}
#map {
width: 720px;
margin: 0px auto;
}
.grid {
float: left;
width: 30px;
height: 30px;
background-color: #fff;
margin: 1px;
transition: .3s;
font-size: 10px;
color: #333;
text-align: center;
line-height: 30px;
}
.grid p{
margin: 0;
}
.start {
background-color: rgb(69, 137, 148);
}
.end {
background: rgb(255, 94, 72);
}
.disabled {
background: #333;
}
.active {
background: rgb(250, 227, 113);
}
</style>
</head>
<body>
<h1>BFS 寻路算法</h1>
<div id="map">
</div>
<script>
let oMap = document.getElementById('map');
const maps = [
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
]
let start = null;
let end = null;
maps.forEach((n, index) => {
var grid = document.createElement('span');
if (n === 1) {
grid.className = 'grid disabled';
} else if (n === 2) {
grid.className = 'grid end';
} else {
grid.className = 'grid';
}
grid.index = index;
oMap.appendChild(grid);
grid.onclick = function () {
if( start === null && end === null ) {
document.querySelectorAll('.grid').forEach(grid => {
grid.classList.remove('active');
});
start = index;
this.classList.add('start');
} else if( start !== null && end === null ) {
this.classList.add('end');
end = index;
let relation = bfs(start, end);
relation.shift();
let grids = document.getElementsByClassName('grid');
relation.forEach((item, i) => {
// grids[item.value].innerHTML = `<p>i: ${item.value}</p><p>p: ${item.parent}</p>`;
grids[item.value].innerHTML = `x`
});
let path = getPath(relation, end);
if (path.length < 1) {
return;
}
let times = 0;
let timmer = null;
timmer = setInterval(() => {
grids[path[times]].classList.add('active');
grids[path[times]].innerText = times+1;
times++;
if (times === path.length) {
clearInterval(timmer);
}
}, 30);
} else {
document.querySelectorAll('.grid').forEach(grid => {
grid.classList.remove('active', 'start', 'end');
grid.innerText = '';
});
start = index;
end = null;
this.classList.add('start');
}
}
})
// 获取坐标n周围可扩展路径
function getAround(n) {
return [n - 1, n - 22, n + 1, n + 22].filter(num => {
// 防止最左减1后变最右
if( (n - 1) % 22 === 21 ) return num >= 0 && num < 484 && maps[num] !== 1 && num % 22 !== 21;
// 防止最右加1后变最左
if( (n + 1) % 22 === 0 ) return num >= 0 && num < 484 && maps[num] !== 1 && num % 22 !== 0;
return num >= 0 && num < 484 && maps[num] !== 1;
});
}
// 通过关系队列找出路径
function getPath(relation, end) {
// 用来存放最终路径
let path = [];
// 初始化为最终目标点,然后通过改变该变量,达到不断搜索最终点到起始点之间的直接路径。
let target = end;
function loop() {
// 循环关系队列,从最终点开始,根据每个节点的父节点最终找到起始点。
for (let i = 0; i < relation.length; i++) {
// 如果当前节点是target,继续递归搜索,直到所有节点中不存在target结束。(由于起始点没有父节点,所以最终target会变成undefined。)
if (relation[i].value === target) {
// 如果当前节点的值不是最终点,就往path中压入当前节点。目的是不让最终点出现在最终的路径列表当中。
if (relation[i].value !== end) {
path.unshift(relation[i].value);
}
// 将当前target指向当前节点的父节点,然后递归继续查找。
target = relation[i].parent;
// 删除当前节点,减少下次循环次数。
relation.splice(i, 1);
loop();
break;
}
}
}
loop();
return path;
}
// 广度优先搜索
function bfs(start, end) {
console.time('time');
// 未检测或待检测列表
let openList = [];
// 已检测列表
let closeList = [];
// 出队后的检测点
let g = null;
// 存储已检测点的关系谱,用来获得最终可到达目标点路径顺序。
let relation = [];
// 第一次执行搜索,向待检测队列和关系队列压入起始点
openList.push(start);
relation.push({value: start});
// 递归检测
function loop() {
// 如果一直递归到待检测列表为空,说明还没有找到目标点,也就是说:起始点无任何可到达目标点的路径。
if (openList.length < 1) {
console.log('搜索结束,无法到达');
return;
}
// 从待检测队列中弹出第一个元素,并将它压入已检测队列
g = openList.shift();
closeList.push(g);
// 获取本次检测点周围可覆盖点(相当于子节点)
let around = getAround(g);
// 循环所有子节点
for (let i=0; i<around.length; i++) {
// 如果当前检测点是目标点,结束递归即可。
if (g === end) {
return;
}
if (!openList.includes(around[i]) && !closeList.includes(around[i])) {
// 如果子节点不存在于待检测队列和已检测队列中,将子节点压入待检测队列。通过递归检测,逐层扫描,直到全部路径扫描完。
openList.push(around[i]);
// 将扫描过的节点全部存入关系队列中,并标记每个节点的父节点。在需要的时候,可以通过关系队列中逐级找到目标点到起点的路径顺序。
relation.push({value: around[i], parent: g});
}
}
loop();
}
// 执行递归检测
loop();
console.timeEnd('time');
return relation;
}
</script>
</body>
</html>