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@erohinaelena
Last active August 29, 2015 14:05
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Farthest feasible point filter
<html>
<head>
<meta charset="utf-8">
<link href="main.css" rel="stylesheet">
</head>
<body>
<script src="http://d3js.org/d3.v3.min.js"></script>
<script src="main.js"></script>
</body>
</html>
.axis path,
.axis line {
fill: none;
stroke: #ccc;
shape-rendering: crispEdges;
}
var margin = {top: 50, right: 20, bottom: 50, left: 40},
width = 960 - margin.left - margin.right,
height = 300 - margin.top - margin.bottom
var pointsNumber = 45
var Δ = 0.1
var x = d3.scale.linear()
.domain([0, pointsNumber])
.range([0, width])
var y = d3.scale.linear()
.domain([0, 1])
.range([height, 0])
var yAxis = d3.svg.axis()
.scale(y)
.orient("left")
var svg = d3.select("body").append("svg")
.attr("width", width + margin.left + margin.right)
.attr("height", height + margin.top + margin.bottom)
var area = svg
.append("g")
.attr("transform", "translate(" + margin.left + "," + margin.top + ")")
area.append("g")
.attr("class", "axis")
.call(yAxis)
var areaGroup = area.append('g')
var ffpGroup = area.append('g')
var ε = 1e-6
function filterData(d, Δ) {
d = d.slice()
var start = 0,
result = [],
trendBoundaries = [Infinity, -Infinity],
currentPointBoundaries = [],
currentPointTrend,
farthestFeasible = 0,
lower = 0,
upper = 1,
pushPoint = function () { result.push({ x: farthestFeasible, y: d[farthestFeasible] }) }
pushPoint()
while (farthestFeasible < d.length - 1) {
for (var i = start; i < d.length; i++) {
currentPointBoundaries = [
(d[i] - d[start] + Δ) / (i - start),
(d[i] - d[start] - Δ) / (i - start)
]
if (trendBoundaries[upper] < currentPointBoundaries[upper] + ε) {
trendBoundaries[upper] = currentPointBoundaries[upper]
}
if (currentPointBoundaries[lower] < trendBoundaries[lower] + ε) {
trendBoundaries[lower] = currentPointBoundaries[lower]
}
currentPointTrend = (d[i] - d[start]) / (i - start)
if (trendBoundaries[upper] < currentPointTrend + ε && currentPointTrend < trendBoundaries[lower] + ε) {
farthestFeasible = i
} else if (trendBoundaries[lower] < trendBoundaries[upper] + ε) {
trendBoundaries = [Infinity, -Infinity]
i = start = farthestFeasible
pushPoint()
}
}
trendBoundaries = [Infinity, -Infinity]
start = farthestFeasible
pushPoint()
}
return result
}
var i = 0
var currentValue = Math.random()
var values = []
var limit = d3.scale.linear().clamp(true)
setInterval(function() {
if (i < pointsNumber) {
currentValue = limit(currentValue + .3 * Math.random() - .15 + .01 * Math.cos(i * 5))
values.push(currentValue)
var circles = areaGroup.selectAll('circle')
.data(values)
circles.exit().remove()
circles
.enter().append('circle')
.attr('cx', function(d, i) { return x(i) })
.attr('cy', function(d) { return y(d) })
.attr('r', 0)
.attr('fill', '#aaa')
.transition()
.attr('r', 1.5)
var data = filterData(values, Δ)
var filteredDots = ffpGroup.selectAll('circle')
.data(data, function (d) { return d.x + " " + d.y })
filteredDots.exit().remove()
filteredDots
.enter().append('circle')
.attr('cx', function(d) { return x(d.x) })
.attr('cy', function(d) { return y(d.y) })
.attr('fill', '#000')
.attr('r', 0)
.transition()
.attr('r', 1.5)
var boundaries = []
function offsetLine (line, offset) {
return [{x: line[0].x, y: line[0].y + offset}, {x: line[1].x, y: line[1].y + offset}]
}
d3.pairs(data).forEach(function(d) {
boundaries.push(d)
boundaries.push(offsetLine(d, Δ))
boundaries.push(offsetLine(d, -Δ))
})
var lines = areaGroup.selectAll('line')
.data(boundaries, function (d) { return d[0].x + " " + d[0].y + " " + d[1].x + " " + d[1].y })
lines.exit().remove()
lines.enter().append('line')
.attr('stroke', '#ccc')
.attr('x1', function(d) { return x(d[0].x) })
.attr('y1', function(d) { return y(d[0].y) })
.attr('x2', function(d) { return x(d[1].x) })
.attr('y2', function(d) { return y(d[1].y) })
i++
}
}, 500)
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