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Dijkstra.html
596 lines (555 loc) · 18.2 KB
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Dijkstra.html
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<!--
作者：兰州小红鸡
Dijkstra单源最短路径搜索算法
本代码仅供学习参考
邮箱：flyphp@outlook.com
-->
<!DOCTYPE html>
<html>
<head>
<title>Dijkstra单源最短路径算法</title>
<meta charset="UTF-8">
<meta name="viewport" content="width=device-width, initial-scale=1.0">
<meta http-equiv="X-UA-Compatible" content="ie=edge">
<meta name="description" content="Dijkstra单源最短路径搜索算法动态演示">
<meta name="keywords" content="Dijkstra算法">
<meta name="keywords" content="单源最短路径搜索算法动态演示">
<meta name="keywords" content="Dijkstra">
<meta property="og:type" content="website">
<meta property="og:title" content="兰州小红鸡">
<meta property="og:url" content="https://me.idealli.com/others/Dijkstra.html">
<meta property="og:site_name" content="兰州小红鸡">
<meta property="og:description" content="Dijkstra单源最短路径搜索算法动态演示">
<meta name="twitter:card" content="summary">
<meta name="twitter:title" content="Dijkstra单源最短路径搜索算法动态演示">
<meta name="twitter:description" content="Dijkstra单源最短路径搜索算法动态演示">
<link rel="apple-touch-icon" sizes="180x180" href="https://me.idealli.com/images/apple-touch-icon-next.png?v=5.1.4">
<link rel="icon" type="image/png" sizes="32x32" href="https://me.idealli.com/images/favicon-32x32-next.png?v=5.1.4">
<link rel="icon" type="image/png" sizes="16x16" href="https://me.idealli.com/images/favicon-16x16-next.png?v=5.1.4">
</head>
<body>
<style type="text/css">
body,html,div,svg{
margin:0;
padding:0;
}
#Wrap{
position:fixed;
height: 0%;
width: 100%;
user-select:none;
}
.itemwrap{
position: fixed;
width:50%;
height:50%;
left:100px;
top:100px;
}
.item{
position: absolute;
left:100px;
top:100px;
border:1px solid #333;
height:50px;
line-height: 50px;
width:50px;
text-align: center;
}
.lineWrap{
position: fixed;
left:0;
overflow:visible;
}
div.test{
width: 50px;
height: 50px;
background: #49b1f5;
border-radius: 50%;
border: 5px solid #34aaf1;
position: fixed;
z-index: 9999999;
font-size: 30px;
color: #fff;
text-align: center;
font-weight: 600;
/*float: left;*/
}
#lineWrap{
position: fixed;
overflow:visible;
}
.slide{
position: fixed;
top: 20px;
right: 5px;
height: 90%;
padding-left: 5px;
width: 22%;
border: 3px solid #49b1f5;
border-radius: 4px;
overflow: auto;
}
.slide_title{
font-size: 20px;
font-weight: 600;
color: #125;
background-color: #eeb;
border-radius: 5px;
}
.slide_content{
font-size: 15px;
color: #678945;
}
.slider_line{
position: unset;
}
.int{
height: 26px;
width: 60px;
text-align: center;
border-radius: 3px;
border: 1px solid #3989c5;
}
.control{
position: fixed;
margin-top: 10px;
left: 0px;
top: 0px;
width: 80%;
z-index: 999999999;
text-align: center;
}
.refer{
height: 30px;
background: #49b1f5;
border-radius: 3px;
border: 1px solid #3989c5;
}
.int_num{
font-size: 22px;
color: #232323;
width: 30px;
height: 30px;
border-radius: 5px;
background: #eee;
text-align: center;
}
.changdiv{
width: 400px;
height: 250px;
top: 200px;
left: 30%;
border: 4px solid #49b1f5;
border-radius: 5px;
text-align: center;
padding: 20px;
position: fixed;
background: #fef;
display: none;
z-index: 99999999;
}
.tochange{
margin: auto;
width: 90px;
height: 30px;
border: 3px solid #49b1f5
}
a:link {color:#000000;text-decoration:none;} /* 未访问链接*/
a:visited {color:#000;text-decoration:none;} /* 已访问链接 */
a:hover {color:#000;text-decoration:underline;} /* 鼠标移动到链接上 */
a:active {color:#000;} /* 鼠标点击时 */
</style>
<div class="control">
<h2><strong>Dijkstra算法</strong>单源最短路径搜索演示
<!-- Place this tag where you want the button to render. -->
<a class="github-button" href="https://github.com/flymysql/Graph_dijkstra" data-icon="octicon-star" data-show-count="true" aria-label="Star flymysql/Graph_dijkstra on GitHub">Star</a>
</h2>
<input type="button" name="" value="清空页面" class="refer" onclick="cleanele()">
<input type="button" name="" value="清空连线" class="refer" onclick="cleanline()">
<input type="input" name="" id="input_num" value="6" class="int">
<input type="button" name="" value="生成节点" class="refer" onclick="input()">
<input type="button" name="" value="随机生成链路" class="refer" onclick="randomCreate(1)">
<input type="button" name="" value="随机生成图" class="refer" onclick="randomCreate(2)">
<input type="input" name="" id="begin" value="v0" class="int">
<input type="button" name="" value="生成最短路径" class="refer" onclick="createPath()">
</div>
<div class="changdiv" id="changdiv">
输入权值并按确定更改<br>
<input type="input" name="" id="cnum"><br>
<br>
<div class="tochange" type="button" id="quxiao" onclick="quxiao()">取消</div><br>
<div class="tochange" type="button" id="onchange" onclick="ok()">更改</div><br>
<div class="tochange" type="button" style="background: rgb(190, 240, 81)" id="delete" onclick="deleteline()">删除该链路</div>
</div>
<div class="slide" id="slider">
<h1>操作说明</h1>
<strong>生成节点</strong><p>输入节点数后点击生成节点</p>
<strong>生成链路</strong><p>鼠标点击两个节点之后即可生成链路</p>
<strong>修改链路权值</strong><p>鼠标点击链路权值，在弹框中修改，也可以在弹框中选择删除该链路</p>
<strong>生成最短路径</strong><p>输入出发节点后点击生成，即可开始动态演示路径查找</p>
<strong>算法讲解</strong><p><a href="https://me.idealli.com/post/15e41f53.html" target="_blank">Dijkstra单源最短路径——小鸡博客</a></p><p>
<strong>源码地址</strong>
<a class="github-button" href="https://github.com/flymysql/Graph_dijkstra/fork" data-icon="octicon-repo-forked" aria-label="Fork flymysql/Graph_dijkstra on GitHub">Fork</a>
<a class="github-button" href="https://github.com/flymysql" data-show-count="true" aria-label="Follow @flymysql on GitHub">Follow</a>
</p>
</div>
<div id="Wrap"></div>
<div id="divele"></div>
<!--
作者：兰州小红鸡
Dijkstra单源最短路径搜索算法
本代码仅供学习参考
邮箱：flyphp@outlook.com
-->
<script type="text/javascript">
var onlink=false;
var onid="";
var MaxvertextType = 100
var gigantic = 99999
var gx=""
var gy=""
var gobj
/*******************************************
算法部分
********************************************/
/*
Dijkstra算法
*/
//邻接矩阵
function Mgraph() {
this.vex=new Array();
this.edge=new Array();
this.vexnum=0;
this.arcnum=0;
};
function getVex(G,x){
var i=0;
for(;i<G.vexnum;i++){
if(G.vex[i]==x)return i;
}
if(G.vex[i]!=x)return -1;
}
//单源最短路径算法
function Dijkstra(g,x){
cleancolor();
var vexnum=g.vexnum;
var vex=getVex(g,x);
if (vex==-1) return;
var dist= new Array();
var path = new Array();
path[vex]=vex;
for (var i = 0; i < vexnum; ++i) {
dist[i]=g.edge[vex][i];
if(g.edge[vex][i]!=gigantic)path[i]=vex;
}
console.log(dist)
var S = new Array();
S[vex] = true;
var dd;
var dvex=0;
var j = 0;
var index=1;
var descripe=document.getElementById("slider");
descripe.innerHTML="";
for (; j < vexnum-1; ++j) {
setTimeout(function(){
dd=gigantic;
for (var i = 0; i < vexnum; ++i) {
if(dist[i]<dd && !S[i]) {
dd=dist[i];
dvex=i;
}
}
if(dd==gigantic){
for (var i = 0; i < vexnum; ++i) {
if(dist[i]==dd && !S[i]) {
dvex=i;
break;
}
}
var str="节点"+g.vex[dvex]+"不可达<br><br>"
descripe.innerHTML = descripe.innerHTML+"<div class=slider_line><div class=slide_title>第"+index+"趟</div><div class=slide_content>"+str+"</div></div>";
document.body.appendChild(descripe);
index++;
S[dvex]= true;
}
else{
var element=document.getElementById(g.vex[dvex]);
var now=dvex;
var colo="#"+(Math.round(Math.random()*800)+100);
element.style.background=colo;
var str=x+"到"+g.vex[dvex]+"的最短路径："+g.vex[now];
while(now!=vex){
var line1=document.getElementById(g.vex[now]+g.vex[path[now]]);
if (line1==null)
line1=document.getElementById(g.vex[path[now]]+g.vex[now]);
//console.log(line1);
line1.style.stroke=colo;
now=path[now];
str=str+"<--"+g.vex[now];
}
str=str+"<br>总路程:"+dist[dvex]+"<br><br>";
descripe.innerHTML = descripe.innerHTML+"<div class=slider_line><div class=slide_title>第"+index+"趟</div><div class=slide_content>"+str+"</div></div>";
document.body.appendChild(descripe);
index++;
S[dvex]= true;
for (var k = 0; k < vexnum; ++k) {
if (!S[k]){
if (dist[dvex]+g.edge[dvex][k]<dist[k]) {
dist[k] = dist[dvex] + g.edge[dvex][k];
path[k] = dvex;
}
}
}
}
},3000*j);
}
/*
setTimeout(function(){
for (var m = 0; m < vexnum; ++m) {
var nowvex=m;
var str="\npath:"+g.vex[nowvex];
while(path[nowvex]!=vex){
nowvex=path[nowvex];
str=str+"<-"+g.vex[nowvex];
}
str=str+"<-"+g.vex[vex]+"\tdistance:"+dist[m];
console.log(str);
}
},j*3000+2000)
*/
}
//图的初始化
function init(g){
for(var i=0;i<g.vexnum;i++){
var temp=[];
for (var j = 0; j < g.vexnum; ++j) {
if (i==j) temp[j]=0;
else temp[j]=gigantic;
}
g.edge[i]=temp;
}
}
/*******************************************
图形化部分
********************************************/
//先创建一个全局图
mgraph =new Mgraph;
var content="";
//获取X轴坐标
function getElementLeft(element){
var actualLeft = element.offsetLeft;
var current = element.offsetParent;
while (current !== null){
actualLeft += current.offsetLeft;
current = current.offsetParent;
}
return actualLeft;
}
//获取y轴坐标
function getElementTop(element){
var actualTop = element.offsetTop;
var current = element.offsetParent;
while (current !== null){
actualTop += current.offsetTop;
current = current.offsetParent;
}
return actualTop;
}
//节点渲染
function input() {
if(mgraph.vexnum==0){
var oinput=document.getElementById('input_num');
var num=oinput.value;
mgraph.vexnum=num;
init(mgraph);
//初始化
for (var i = 0; i < num; i++) {
var vex="v"+i;
mgraph.vex[i]=vex;
var div = document.getElementById("divele");
var ang=(360/num)*i;
var x=40 + Math.cos(ang * (Math.PI / 180)) * 30;
var y=50 + Math.sin(ang * (Math.PI / 180)) * 30;
//console.log((pai/num)*i)
div.innerHTML = div.innerHTML + "<div id="+vex+" style="+"left:"+x+"%;"+"top:"+y+"%;"+" class="+"test"+" onclick=link(this)>"+vex+"</div>";
document.body.appendChild(div);
}
}
else alert("\n\n请先清空页面上的已有节点！")
}
//链路线条渲染
function creatline(id1,id2,dis){
var div = document.getElementById("Wrap");
var ele1=document.getElementById(id1);
var x1=getElementLeft(ele1)+25;
var y1=getElementTop(ele1)+25;
var ele2=document.getElementById(id2);
var x2=getElementLeft(ele2)+25;
var y2=getElementTop(ele2)+25;
//console.log(y2)
var size=" x1="+x1+" y1="+y1+" x2="+x2+" y2="+y2;
div.innerHTML = div.innerHTML+ "<svg class=lineWrap id=line"+id1+id2+"><line id="+id1+id2+" "+size+ " xmlns="+"http://www.w3.org/2000/svg"+" stroke="+"#ddd"+" stroke-width="+5+" marker-end="+"url(#arrow)"+"></line></svg>"+"<div class=int_num style="+"left:"+(x1+(x2-x1)/2.5)+"px;top:"+(y1+(y2-y1)/2.5)+"px;position:fixed;"+" onclick=changnum("+id1+","+id2+",this)>"+dis+"</div>"
document.body.appendChild(div);
}
function link(obj){
var oid=obj.id;
if(oid!=onid&&onlink){
var onclolor=document.getElementById(onid);
onclolor.style.background="#49b1f5";
onclolor.style.height="50px";
onclolor.style.width="50px";
// onclolor.style.font-size="30px";
//生成随机路径长度
var dis=Math.round(Math.random()*15)+1;
var x1=getVex(mgraph,oid);
var y1=getVex(mgraph,onid);
if(mgraph.edge[x1][y1]==gigantic){
console.log(dis);
creatline(oid,onid,dis);
//无向图的连线
mgraph.edge[x1][y1]=dis;
mgraph.edge[y1][x1]=dis;
}
onlink=false;
onid="";
}
else if(!onlink) {
onid=obj.id;
onlink=true;
obj.style.background="green";
obj.style.height="70px";
obj.style.width="70px";
// obj.style.font-size="40px";
}
}
//开始搜索路径
function createPath(){
var begin=document.getElementById("begin");
var bd=begin.value;
Dijkstra(mgraph,bd);
}
//修改链路权值弹框
function changnum(x,y,obj){
var ch=document.getElementById("changdiv");
ch.style.display="block";
//console.log(x);
gx=x.id;
gy=y.id;
gobj=obj;
}
//修改权值后点击确定事件
function ok(){
var changenum=document.getElementById("cnum");
var cnum=Number(changenum.value);
if(cnum!=null){
var x=getVex(mgraph,gx);
var y=getVex(mgraph,gy);
mgraph.edge[x][y]=cnum;
mgraph.edge[y][x]=cnum;
console.log(cnum);
}
gobj.innerText=Number(cnum);
var ch=document.getElementById("changdiv");
ch.style.display="none";
changenum.value=""
}
//删除链路
function deleteline(){
var div = document.getElementById("Wrap");
var line=document.getElementById("line"+gx+gy);
div.removeChild(line);
div.removeChild(gobj);
// line.style.display="none";
// gobj.style.display="none";
var x=getVex(mgraph,gx);
var y=getVex(mgraph,gy);
mgraph.edge[x][y]=gigantic;
mgraph.edge[y][x]=gigantic;
var ch=document.getElementById("changdiv");
ch.style.display="none";
}
//取消修改权值
function quxiao(){
var ch=document.getElementById("changdiv");
ch.style.display="none";
gx="";
gy="";
}
//清空链路
function cleanline(){
var div = document.getElementById("Wrap");
div.innerHTML="";
init(mgraph);
var descripe=document.getElementById("slider");
descripe.innerHTML=content;
cleancolor();
}
//清空节点
function cleanele(){
var div = document.getElementById("divele");
div.innerHTML="";
cleanline();
mgraph.vexnum=0;
var descripe=document.getElementById("slider");
descripe.innerHTML=content;
}
//清空颜色
function cleancolor(){
var div=document.getElementById("divele")
var ele=div.getElementsByTagName("div")
for (var i = ele.length - 1; i >= 0; i--) {
ele[i].style.background="#49b1f5";
}
var line = document.getElementById("Wrap");
var linele = line.getElementsByTagName("line")
for (var i = linele.length - 1; i >= 0; i--) {
linele[i].style.stroke="#ddd";
}
}
//随机生成一个图
function randomCreate(num){
cleanele();
var inputnum=document.getElementById("input_num");
var value=input_num.value;
if(num==2){
var value=Math.round(Math.random()*4)+4;
input_num.value=value;
}
input();
for (var i = value - 1; i >= 0; i--) {
var lines=Math.round(Math.random()*2)+1;
var S=new Array();
for (var m = value - 1; m >= 0; m--) S[i]=false;
var k=0;
for (var j = lines - 1; j >= 0; j--) {
for (var n = value - 1; n >= 0; n--) {
if (30 > Math.round(Math.random()*100)&&!S[n]&&k<=lines) {
var x="v"+i;
var y="v"+n;
var having=document.getElementById(y+x);
if(having==null){
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