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<!DOCTYPE html>
<html xmlns="http://www.w3.org/1999/xhtml">
<head>
<title>Intersecting Polygons</title>
<script type="text/javascript" src="highlight.pack.js"></script>
<script type="text/javascript" src="highlightCode.js"></script>
<link href='highlight.css' rel='stylesheet' />
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
</head>
<body style='padding:0px;font-family:arial;background:#f0f8ff'>
<center>
<h4>Intersecting Polygons</h4>
<div style='width:90%;background-color:gainsboro;text-align:justify;padding:10px;border-radius:10px;'>
Determine where polygons intersect. Uses <b>vectors analysis</b>
</div>
<div id="svgDiv" style='width:400px;height:400px;background-color:lightgreen;'>
<svg id="mySVG" width="400" height="400">
<polygon id="polygonA" fill="yellow" stroke="blue" stroke-width="3" points="280,80 100,10 40,80 100,220 200,250" />
<polygon id="polygonB" fill="green" stroke="blue" stroke-width="3" opacity=".6" points="380,180 200,110 40,180 100,320 300,350" />
<circle id="circle1" r="8" fill="lime" stroke-width="1" stroke="black" />
<circle id="circle2" r="8" fill="lime" stroke-width="1" stroke="black" />
</svg>
</div>
<br /><button onclick=getPolygonIntersect() >Compute Intersects</button>
<br /> SVG Source:
<div id=svgSourceDiv style=overflow:auto;width:100%;height:1px;text-align:left; /></div>
Javascript:
<div id=jsCodeDiv style=overflow:auto;width:100%;text-align:left; /></div>
</center>
<script id=myScript>
//---button---
function getPolygonIntersect()
{
var circleCnt=0
var IntPoints=[]
var aPoints=polygonA.points
var m=aPoints.numberOfItems
for(var i=0;i<m;i++)
{
var aX1=aPoints.getItem(i).x
var aY1=aPoints.getItem(i).y
if(i<m-1)
{
var aX2=aPoints.getItem(i+1).x
var aY2=aPoints.getItem(i+1).y
}
else
{
var aX2=aPoints.getItem(0).x
var aY2=aPoints.getItem(0).y
}
var bPoints=polygonB.points
var n=bPoints.numberOfItems
for(var k=0;k<n;k++) //--each side of polygon---
{
var bX1=bPoints.getItem(k).x
var bY1=bPoints.getItem(k).y
if(k<n-1)
{
var bX2=bPoints.getItem(k+1).x
var bY2=bPoints.getItem(k+1).y
}
else
{
var bX2=bPoints.getItem(0).x
var bY2=bPoints.getItem(0).y
}
//---return false or intersect point---
var xy=lineSegIntersect(aX1,aY1,aX2,aY2,bX1,bY1,bX2,bY2)
if(xy)
{
if(IntPoints.join().indexOf(xy)==-1)//--no dups--
{
IntPoints.push(xy)
circleCnt++
var circle=document.getElementById("circle"+circleCnt)
circle.setAttribute("cx",xy[0])
circle.setAttribute("cy",xy[1])
}
}
}
}
showSourceSVG()
}
//---compare two lines: A.B---
function lineSegIntersect(aX1,aY1,aX2,aY2,bX1,bY1,bX2,bY2)
{
//---compute vectors Va, Vb--------
var Va=( (bX2-bX1)*(aY1-bY1) - (bY2-bY1)*(aX1-bX1) )/ ( (bY2-bY1)*(aX2-aX1) - (bX2-bX1)*(aY2-aY1) )
var Vb=( (aX2-aX1)*(aY1-bY1) - (aY2-aY1)*(aX1-bX1) )/( (bY2-bY1)*(aX2-aX1) - (bX2-bX1)*(aY2-aY1) )
if(Va>0 && Va<1 && Vb>0 && Vb<1)
{
//---intersect true, show point---
var ma=(aY2-aY1)/(aX2-aX1)
var mb=(bY2-bY1)/(bX2-bX1)
if(aX2!=aX1&&bX2!=bX1) //---!vertical line---
{
var x=(aX1*ma-aY1-bX1*mb+bY1)/(ma-mb)
var y=ma*(x-aX1)+aY1
}
else if(aX2==aX1)
{
var x=aX1
var y=mb*(x-bX1)+bY1
}
else if(bX2==bX1)
{
var x=bX1
var y=ma*(x-aX1)+aY1
}
return [x,y]
}
else
return false
}
</script>
<script>
document.addEventListener("onload",init(),false)
function init()
{
showSourceSVG()
showSourceJS()
}
</script>
</body>
</html>