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作业9.html
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<html>
<meta charset="utf-8">
<head>
<script src="Line.js"></script>
<style>
polyline{fill-opacity: 0;stroke:#a89cc8;stroke-width:1}
.land{fill-opacity: 1;fill:#636363;stroke:#eeeeee;stroke-width:0.5}
.china{fill-opacity: 1;fill:#5f4d93;stroke:#eeeeee;stroke-width:1}
</style>
<script>
pi=3.1415926;
a=6378245;
b=6356863;
e2=0.0066934;
e1=0.0818132;
function rad(x)
{
return pi*x/180
}
function Q1()
{
alert('需要约20秒');
result="";
for(xx=-180;xx<=180;xx=xx+10)
{
line="";
for(yy=-80;yy<=80;yy=yy+1)
{
if(yy!=0) {
line = line + Q1_get_xy(xx, yy) + ' ';
}
}
result=result+"<polyline points='"+line+"'/>";
}
for(yy=-80;yy<=80;yy=yy+10)
{
line="";
for(xx=-180;xx<=180;xx=xx+1)
{
if(yy!=0) {
line = line + Q1_get_xy(xx, yy) + ' ';
}
else{
line = line + Q1_get_xy(xx, (yy+0.001)) + ' ';
}
}
result=result+"<polyline points='"+line+"'/>";
}
length=data().length;
Line=data();
max=length/2;
line="<polyline class='land' points='";
for(iii=1;iii<=max;iii=iii+1)
{
yy=Line[2*iii-1];
xx=Line[2*iii-2];
if(xx>-500) {
line=line+Q1_get_xy(xx,yy)+' ';
}
else
{
line=line+"'/> <polyline class='land' points='";
}
}
line=line+"'/>";
result=result+line;
document.getElementById('answer1').innerHTML=result;
}
function Q1_get_xy(xx,yy)
{
Phi=rad(yy);
Lambada=rad(xx);
N=get_N(Phi);
x=get_SM(0,Phi)+N*(1/Math.tan(Phi))*(1-Math.cos(Lambada*Math.sin(Phi)));
y=N*(1/Math.tan(Phi))*Math.sin(Lambada*Math.sin(Phi));
x=200-x/80000;
y=300+y/80000;
xy=y.toString()+','+x.toString();
return xy;
}
function get_N(rad)
{
return (a)/Math.pow((1-e2*Math.sin(rad)*Math.sin(rad)),0.5);
}
function get_M(rad)
{
return (a*(1-e2)) / Math.pow((1-e2*Math.sin(rad)*Math.sin(rad)),1.5);
}
function get_SM(rad_min,rad_max)
{
gap=(rad_max-rad_min)/1000;
SM=0;
for(i=rad_min+0.5*gap;Math.abs(i)<Math.abs(rad_max);i=i+gap)
{
M=(a*(1-e2))/Math.pow((1-e2*Math.sin(i)*Math.sin(i)),1.5);
SM=SM+M*gap;
}
return SM;
}
function Q2()
{
document.getElementById('answer2').innerHTML="waiting";
input=[[0,30],[0,60],[0,90],[30,30],[30,60],[30,90],[60,30],[60,60],[60,90],[90,30],[90,60],[90,90]];
ans="<tr><th>λ</th><th>φ</th><th>m</th><th>P</th><th>ω</th></tr>";
for ( var i = 0; i <input.length; i++){
ans=ans+Q2_get_ans(input[i][0],input[i][1])
}
ans="<table style='position:absolute;left:50%;margin-left:-200px;width:400px;text-align: center'>"+ans+"</table>";
document.getElementById('answer2').innerHTML=ans;
}
function degree(rad)
{
return (rad/pi)*180;
}
function Q2_get_ans(xx,yy)
{
Lambada=rad(xx);
Phi=rad(yy);
Delta=Lambada*Math.sin(Phi);
Epsilon=Math.atan((Delta - Math.sin(Delta)) / (Math.cos(Delta) - (1 + Math.tan(Phi)*Math.tan(Phi)*get_M(0,Phi) / get_N(Phi))));
P=1 + 2 * Math.sin(Delta / 2)*Math.sin(Delta / 2)*get_N(Phi) / (get_M(Phi)*Math.tan(Phi)*Math.tan(Phi));
m=P/Math.cos(Epsilon);
Omega=2 * Math.atan(Math.pow(((m*m+1)/ P-2),0.5)/2);
Omega1=degree(Omega)-degree(Omega)%1;
Omega2=degree(Omega)%1*60-(degree(Omega)%1*60)%1;
line="<tr><td>"+xx+"</td><td>"+yy+"</td><td>"+m.toString().slice(0,5)+"</td><td>"+P.toString().slice(0,5)+"</td><td>"+Omega1.toString()+'°'+Omega2.toString()+'′'+"</td></tr>";
return line;
}
function get_U(Phi)
{
return Math.tan(pi/4+Phi/2)*Math.pow(((1-e1*Math.sin(Phi))/(1+e1*Math.sin(Phi))),e1/2);
}
function Q3()
{
Phi_1=rad(25);
Phi_2=rad(47);
Phi_sta=rad(15);
Lambada0=rad(110);
r1=get_N(Phi_1)*Math.cos(Phi_1);
r2=get_N(Phi_2)*Math.cos(Phi_2);
U1=get_U(Phi_1);
U2=get_U(Phi_2);
U_sta=get_U(Phi_sta);
Sigma=(Math.log(r1)-Math.log(r2))/(Math.log(U2)-Math.log(U1));
K=r1*Math.pow(U1,Sigma)/Sigma;
Rho_sta=K/Math.pow(U_sta,Sigma);
result="";
for(xx=70;xx<=150;xx=xx+5)
{
line="";
line_n="";
for(yy=15;yy<=60;yy=yy+1)
{
line = line + get_Q3_xy(xx,yy,Sigma,Lambada0,K,Rho_sta)[0] + ' ';
line_n = line_n + get_Q3_xy(xx,yy,Sigma,Lambada0,K,Rho_sta)[1] + ' ';
}
result=result+"<polyline><animate attributeType='XML' attributeName='points' from='" +line+"' to='"+line_n+"'dur='10s' repeatCount='indefinite'></animate></polyline>";
}
for(yy=15;yy<=60;yy=yy+5)
{
line="";
line_n="";
for(xx=70;xx<=150;xx=xx+1)
{
line = line + get_Q3_xy(xx,yy,Sigma,Lambada0,K,Rho_sta)[0] + ' ';
line_n = line_n + get_Q3_xy(xx,yy,Sigma,Lambada0,K,Rho_sta)[1] + ' ';
}
result=result+"<polyline><animate attributeType='XML' attributeName='points' from='" +line+"' to='"+line_n+"'dur='10s' repeatCount='indefinite'></animate></polyline>";
}
length=cdata().length;
Line=cdata();
max=length/2;
line='';
line_n='';
for(iii=1;iii<=max;iii=iii+1)
{
yy=Line[2*iii-1];
xx=Line[2*iii-2];
if(xx>-500) {
line = line + get_Q3_xy(xx,yy,Sigma,Lambada0,K,Rho_sta)[0] + ' ';
line_n = line_n + get_Q3_xy(xx,yy,Sigma,Lambada0,K,Rho_sta)[1] + ' ';
}
else
{
result=result+"<polyline class='china'><animate attributeType='XML' attributeName='points' from='" +line+"' to='"+line_n+"'dur='10s' repeatCount='indefinite'></animate></polyline>";
line="";
line_n="";
}
}
result=result+"<polyline class='china'><animate attributeType='XML' attributeName='points' from='" +line+"' to='"+line_n+"'dur='10s' repeatCount='indefinite'></animate></polyline>";
document.getElementById('answer3').innerHTML=result;
}
function get_Q3_xy(xx,yy,Sigma,Lambada0,K,Rho_sta)
{
Lambada=rad(xx);
Phi=rad(yy);
Delta=Sigma*(Lambada-Lambada0);
Rho=K/Math.pow(get_U(Phi),Sigma);
x=(Rho_sta-Rho*Math.cos(Delta));
y=(Rho*Math.sin(Delta));
D_n=Math.atan(y/(Rho_sta-x));
Lambada_n=D_n/Sigma;
y_n=a*Lambada_n;
x_n=a*Math.log(Math.pow((K/Math.pow(((Rho_sta-x)*(Rho_sta-x)+y*y),0.5)),1/Sigma));
x=350-x/25000;
y=300+y/25000;
x_n=400-x_n/25000;
y_n=300+y_n/25000;
xy=y.toString()+','+x.toString();
xy_n=y_n.toString()+','+x_n.toString();
return [xy,xy_n];
}
</script>
</head>
<body>
<div style="text-align: center;position: absolute;top:0px;left: 0px;right: 0px;height: 200px;background: linear-gradient(50deg, #a89cc8 50%, #C8E0EC 75%, #a89cc8 0%);background-size: 180px 200px;font-size: 40px;">
<p style="top:80px;">实习作业9</p>
<p style="top:110px;font-size: 18px;">张景源 <a href="mailto:dev@sgis.site" style="text-underline:none">dev@sgis.site</a></p>
</div>
<div style="text-align: center;position: absolute;top:240px;left: 0px;right: 0px;height:auto;background-color:#ffffff;font-size: 18px;">
<p>
第一题<br/>
<b>绘制普通多圆锥投影经纬格网，并加绘世界轮廓</b>
<br/>
<button onclick="Q1()">Run</button>
<br/>
<br/>
<svg id="answer1" style="width: 600px;height: 400px;border: #c79cc8 solid 2px;left: 50%;"></svg>
</p>
<p id="answer1"></p>
<p>
第二题<br/>
<b>普通多圆锥投影的经线长度比、面积比和角度变形情况</b>
<br/>
<button onclick="Q2()">Run</button>
<br/>
<br/>
<span id="answer2" style="text-align: center"></span>
</p>
<br/><br/><br/><br/><br/><br/><br/>
<br/><br/><br/><br/><br/><br/><br/><br/><br/><br/><br/>
<p>
第三题<br/>
<b>利用等角圆锥投影公式，经投影变换后，绘制等角圆柱投影的经纬格网</b>
<br/>
<button onclick="Q3()">Run</button>
<br/>
<br/>
<svg id="answer3" style="width: 600px;height: 400px;border: #c79cc8 solid 2px;left: 50%;">
</svg>
</polyline>
<br/>
<br/>
<br/>
</div>
</body>
</html>