Created
December 26, 2012 15:08
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Visualization of Beach Line in fortune's algorithm
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<!-- | |
--> | |
<html> | |
<head> | |
<meta http-equiv="Content-Type" content="text/html"; charset="UTF-8"/> | |
<title>Page Title</title> | |
<script type="text/javascript" src="d3.js"></script> | |
<link rel="stylesheet" type="text/css" href="test.css"> | |
</head> | |
<body> | |
<script type="text/javascript"> | |
//var dataset = [ | |
// [5, 20], [480, 90], [250, 50] | |
// ]; | |
var dataset = [ | |
[0, 0], [50, 50], [35, 75], [100, 100] | |
]; | |
var h = 300; | |
var w = 500; | |
var padding = 20; | |
var xScale = d3.scale.linear() | |
.domain([0, d3.max(dataset, function(d) { return d[0]; })]) | |
.range([padding, w-padding*3]); | |
var yScale = d3.scale.linear() | |
.domain([0, d3.max(dataset, function(d) { return d[1]; })]) | |
.range([h-padding, padding]); | |
var rScale = d3.scale.linear() | |
.domain([0, d3.max(dataset, function(d) { return d[1]; })]) | |
.range([2, 5]); | |
var svg = d3.selectAll("body") | |
.append("svg") | |
.attr("width" , w) | |
.attr("height" , h) | |
var circles = svg.selectAll("circle") | |
.data(dataset) | |
.enter() | |
.append("circle") | |
.attr("cx", function(d){ | |
return xScale(d[0]); | |
}) | |
.attr("cy", function(d){ | |
return yScale(d[1]); | |
}) | |
.attr("r", function(d){ | |
return rScale(d[1]); | |
}) | |
svg.selectAll("text") | |
.data(dataset) | |
.enter() | |
.append("text") | |
.text(function(d) { | |
return "(" + d[0] + ", " + d[1] + ")"; | |
}) | |
.attr("x", function(d) { | |
return xScale(d[0]); | |
}) | |
.attr("y", function(d) { | |
return yScale(d[1]); | |
}) | |
.attr("font-family", "sans-serif") | |
.attr("font-size", "11px") | |
.attr("fill", "red") | |
var sweepLine = [{p1:{x: 0,y: 49},p2:{x: 500,y: 49}}]; | |
var group = svg | |
.append("g") | |
group.selectAll(".line") | |
.data(sweepLine) | |
.enter() | |
.append("line") | |
.attr("class", "line") | |
.attr("x1", function(d) { | |
return xScale(d.p1.x); | |
}) | |
.attr("y1", function(d) { | |
return yScale(d.p1.y); | |
}) | |
.attr("x2", function(d) { | |
return xScale(d.p2.x); | |
}) | |
.attr("y2", function(d) { | |
return yScale(d.p2.y); | |
}) | |
var parabPoints = getParabolasForDataSet(dataset,sweepLine[0].p1.y, 0, 500, 1); | |
var parabola = svg.selectAll("circle") | |
.data(parabPoints) | |
.enter() | |
.append("circle") | |
.attr("cx", function(d){ | |
return xScale(d[0]); | |
}) | |
.attr("cy", function(d){ | |
return yScale(d[1]); | |
}) | |
.attr("r", 2) | |
function getParabolasForDataSet(dataset,sweepLineY, startX, endX, spacing){ | |
ret = []; | |
for(var i=0; i<dataset.length; i++){ | |
if(dataset[i][1] > sweepLineY){ | |
ret = ret.concat(getParabolaPoints(sweepLineY, dataset[i][0], dataset[i][1], startX, endX, spacing)); | |
} | |
} | |
return ret; | |
} | |
function getParabolaPoints(sweepLineY, siteX, siteY ,startX,endX,spacing){ | |
points = []; | |
for(var i=startX; i<endX; i++){ | |
if(i % spacing == 0){ | |
var sweepLinePoint = {x: i, y: sweepLineY} | |
var unknownYComponent = genUnknownYComponent(sweepLinePoint,{x: siteX, y: siteY}); | |
if(unknownYComponent < 500){ | |
points.push([i,unknownYComponent]) | |
} | |
} | |
} | |
console.log(points) | |
return points; | |
} | |
function genUnknownYComponent(p1,p2){ | |
return (-1 * Math.pow((p2.x-p1.x),2) - Math.pow(p2.y,2) + | |
Math.pow(p1.y,2))/(2*p1.y - 2*p2.y) | |
} | |
</script> | |
</body> | |
</html> |
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