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Last active September 2, 2016 00:46
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Testing quadtrees
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1!=n.getDate()}],["%B",function(n){return n.getMonth()}],["%Y",Ae]]),$s={range:function(n,t,e){return Go.range(Math.ceil(n/e)*e,+t,e).map(Bo)},floor:At,ceil:At};Zs.year=ic.year,ic.scale=function(){return Xo(Go.scale.linear(),Zs,Vs)};var Xs=Zs.map(function(n){return[n[0].utc,n[1]]}),Bs=Os.multi([[".%L",function(n){return n.getUTCMilliseconds()}],[":%S",function(n){return n.getUTCSeconds()}],["%I:%M",function(n){return n.getUTCMinutes()}],["%I %p",function(n){return n.getUTCHours()}],["%a %d",function(n){return n.getUTCDay()&&1!=n.getUTCDate()}],["%b %d",function(n){return 1!=n.getUTCDate()}],["%B",function(n){return n.getUTCMonth()}],["%Y",Ae]]);Xs.year=ic.year.utc,ic.scale.utc=function(){return Xo(Go.scale.linear(),Xs,Bs)},Go.text=Ct(function(n){return n.responseText}),Go.json=function(n,t){return Nt(n,"application/json",Jo,t)},Go.html=function(n,t){return Nt(n,"text/html",Wo,t)},Go.xml=Ct(function(n){return n.responseXML}),"function"==typeof define&&define.amd?define(Go):"object"==typeof module&&module.exports?module.exports=Go:this.d3=Go}();
// Collapse the quadtree into an array of rectangles.
function nodes(quadtree) {
var nodes = [];
quadtree.visit(function(node, x1, y1, x2, y2) {
nodes.push({x: x1, y: y1, width: x2 - x1, height: y2 - y1});
});
return nodes;
}
// Add the selector for the number of points to remove (when a line was selected) and implement filtering
function addSimplificationSelector(id, path, projection) {
// 'un-highlight' all lines
lineGroup.selectAll(".line").classed("selected", false);
labelGroup.selectAll(".label").classed("selected", false);
// highlight the selected line ... and a HACK: get the number of points from that line
var length = -1;
lineGroup.select("#line" + id)
.classed("selected", function(d) {length = d.geometry.coordinates.length; return true;});
labelGroup.select("#label" + id)
.classed("selected", true);
// show the 'selector' of the point number to remove ... only if line has more than 2 points
if (length > 2) {
pointNumberSelector.addElements(d3.range(length-1).map(function(d) {return {properties: {id: d}}}), "");
} else {
// throw error otherwise
pointNumberSelector.throwException("Nop...number of points is <= 2!");
}
// Remove all drawn triangles
triangleGroup.selectAll(".triangle").remove();
pointNumberSelector.select
.on("change", function() {
var numberOfPoints = pointNumberSelector.selectedID()
lineGroup.select("#line" + id)
.attr("d", function(d) {
// remove the class 'current' from all triangles
triangleGroup.selectAll(".triangle").classed("current", false);
return path({
type: d.geometry.type,
coordinates: d.geometry.coordinates.filter(
function(point, i) {
return filterPoints(point, numberOfPoints, projection, path, i);
})
});
});
})
}
function filterPoints(point, numberOfPoints, projection, path, i) {
if (typeof point[2] !== "undefined") {
// Draw the triangle of the point that was removed last (as its rank is identic with the 'numberOfPoints' to remove)
if (point[2].rank === parseInt(numberOfPoints) + 1) {
var triangleCoords = point[2].triangle;
triangleCoords.push(triangleCoords[0])
// Check if we have already drawn that triangle
var currentTriangle = triangleGroup.select("#triangle"+i);
if (currentTriangle.empty()) {
// ...append it if not
currentTriangle = triangleGroup.append("path")
.attr("class", "triangle")
.attr("id", "triangle"+i);
}
// define the coordinates of the triangle visualisation and highlight it as 'current'
console.log(triangleCoords)
currentTriangle
.attr("d", path({
type: "Polygon",
coordinates: [triangleCoords]
}))
.classed("current", true);
}
if (point[2].rank <= parseInt(numberOfPoints) + 1) {
search(quadtreePoints, point[0], point[1]);
}
return point[2].rank > parseInt(numberOfPoints) + 1;
} else return point;
}
function search(quadtree, x0, y0) {
// console.log(quadtree)
quadtree.visit(function(node, x1, y1, x2, y2) {
var p = node.point;
if (p) {
console.log(p)
// p.scanned = true;
// p.selected = (p[0] >= x0) && (p[0] < x3) && (p[1] >= y0) && (p[1] < y3);
}
return x2 < x0 || y2 < y0;
// return false;
});
}
// Transform all groups in relation to new values:
// - 'groupScale'
// - 'groupPositionX' & 'groupPositionY'
function transformGroup() {
// Transform all groups
groups.forEach(function(group) {
group.svgGroup
.attr("transform", function(d){
return "scale("+groupScale+", "+groupScale+") translate("+groupPositionX+"," + ((height - 10) + groupPositionY) + ")";
});
})
// Re-Scale size of points and lines
qRectLines.style("stroke-width", .1 / groupScale);
qRectPoints.style("stroke-width", .1 / groupScale);
boundaries.style("stroke-width", .1 / groupScale);
points.attr("r", 3 / groupScale);
lines.style("stroke-width", 1 / groupScale);
constrainingPoints.attr("r", 5 / groupScale);
labels.attr("font-size", 14 / groupScale);
}
// Action when mouse-movement has started
function startMoving() {
// save the starting position of the mouse
var startingPosition = d3.mouse(this);
// add mouse-move event listener to svg-container
svg.on("mousemove", function() {
// get current position of the mouse
var currentPosition = d3.mouse(this);
groupPositionX = oldGroupPositionX + currentPosition[0] - startingPosition[0];
groupPositionY = oldGroupPositionY + currentPosition[1] - startingPosition[1];
// Apply group transformations for all groups
transformGroup();
});
}
// Action when the mouse-movement has stopped
function stopMoving() {
// remove mouse-move event listener from the svg-container
svg.on("mousemove", null);
// Re-Define the globally defined old group position
oldGroupPositionX = groupPositionX;
oldGroupPositionY = groupPositionY;
}
// Change the global 'scale' on a mousewheel-drag-event
function reScale() {
// check if the drag-event is a mousewheel event
if (d3.event.sourceEvent.type.indexOf("wheel") != -1){
// init a local variable for changed scale
var scaleChange = .1;
if (d3.event.sourceEvent.wheelDelta){
if (d3.event.sourceEvent.wheelDelta < 0){
scaleChange = scaleChange * -1;
}
} else {
if (d3.event.sourceEvent.detail < 0){
scaleChange = scaleChange * -1;
}
}
// Re-Define the new global 'scale'
groupScale = groupScale + scaleChange;
// Apply group transformations for all groups
transformGroup();
}
}
// Get the extent of geoJSON input data
function getExtent(geoJsonData) {
// !!!Works only for "LineString" currently!!!
var extent = [[181, 181], [-181, -181]];
geoJsonData.features.forEach(function(feature) {
feature.geometry.coordinates.forEach(function(point) {
// build the extent
if (point[0] < extent[0][0]) extent[0][0] = point[0];
if (point[1] < extent[0][1]) extent[0][1] = point[1];
if (point[0] > extent[1][0]) extent[1][0] = point[0];
if (point[1] > extent[1][1]) extent[1][1] = point[1];
});
});
return extent;
}
// Get all points of geoJSON input data
function getAllPoints(geoJsonData, projection) {
// !!!Works for 'Points' and 'LineStrings' currently!!!
var dataPoints = [];
geoJsonData.features.forEach(function(feature) {
if (feature.geometry.type === "LineString") {
feature.geometry.coordinates.forEach(function(point) {
dataPoints.push(projection(point));
});
} else if (feature.geometry.type === "Point") {
dataPoints.push(projection(feature.geometry.coordinates));
}
});
return dataPoints;
}
// Function to calculate the area of the triangle of one certain point
// snippet taken from: http://bost.ocks.org/mike/simplify/
function addTriangleSize(feature, projection) {
// !!!Works only for 'LineStrings' currently!!!
var points = feature.coordinates
for (var i=1;i<points.length-1;i++){
var point = feature.coordinates[i];
triangle = points.slice(i - 1, i + 2);
point[2] = {area: area(triangle), triangle: triangle};
}
return feature.coordinates;
}
// Calculate the area
function area(t) {
return Math.abs((t[0][0] - t[2][0]) * (t[1][1] - t[0][1]) - (t[0][0] - t[1][0]) * (t[2][1] - t[0][1]));
}
// Add a ranking to each point
// Logic:
// 0. - clean data: remove area from first and last point AND build object at point[2]
// 1. - push all triangle-areas into an array
// 2. - sort the array
// 3. - make an indexed object from the sorted array {id0: rank, id1: rank, ..., idN: rank}
// 4. - add the rank to each point (point[3]), by using the indexed object
function rankAfterTriangles(feature) {
// 0:
var length = feature.geometry.coordinates.length;
feature.geometry.coordinates = feature.geometry.coordinates.map(function(point, i) {
if (i===0 || i===length-1){
return [point[0], point[1]];
} else {
return [point[0], point[1], {area: point[2], triangle: point[3]}];
}
})
// console.log(feature.geometry.coordinates)
// 1:
var triangles = feature.geometry.coordinates.map(function(d, i) {
return {area: typeof d[2] !== "undefined" ? d[2].area : -1, index: i};
})
// 2:
triangles.sort(function(a, b) {
return a.area - b.area;
});
// 3:
var trianglesObject = {};
triangles.forEach(function(d, rank) {
trianglesObject[d.index] = rank;
})
// 4:
feature.geometry.coordinates = feature.geometry.coordinates.map(function(point, i) {
if (typeof point[2] !== "undefined") point[2].rank = trianglesObject[i];
return point;
})
return feature;
}
<html>
<head>
<title>Playing with quadtrees</title>
<script src="d3.v3.min.js"></script>
<script src="functions.js"></script>
<link rel="stylesheet" href="styles.css" />
<script src="http://rawgithub.com/milkbread/JSLibs/master/sidebar.js"></script>
<link rel="stylesheet" href="http://rawgithub.com/milkbread/JSLibs/master/sidebar.css" />
<script src="simplify.js"></script>
</head>
<body>
<script type="text/javascript">
// Concept for a DataPoint-Class
// function DataPoint(input) {
// var self = this;
// self.coords = input.coords;
// }
// Basic variables
var width = 730,
height = 600,
scale = 280,
groupScale = 1,
groupPositionX = oldGroupPositionX = 0,
groupPositionY = oldGroupPositionY = 0;
var container = d3.select("body").append("div")
.attr("width", 960)
.attr("height", height)
.attr("class", "mainContainer");
// prepare the major SVG-Visualisation area
var svg = container.append("div").attr("id", "svgContainer")
.append("svg")
.attr("width", width)
.attr("height", height)
.on("mousedown", startMoving)
.on("mouseup", stopMoving)
.call(
d3.behavior.zoom().on("zoom", reScale)
);
// prepare the SVG-Groups and corresponding object-variables
var qGroupLines = svg.append("g").attr("id", "qGroupLines"),
triangleGroup = svg.append("g").attr("id", "triangleGroup"),
qGroupPoints = svg.append("g").attr("id", "qGroupPoints"),
boundariesGroup = svg.append("g").attr("id", "boundariesGroup"),
pointGroup = svg.append("g").attr("id", "pointGroup"),
lineGroup = svg.append("g").attr("id", "lineGroup"),
labelGroup = svg.append("g").attr("id", "labelGroup"),
consPointGroup = svg.append("g").attr("id", "consPointGroup"),
qRectLines, qRectPoints, points, lines, constrainingPoints, labels;
// Build an array of group-objects
var groups = [
{ name: "quadtreeLines",
description: "Quadtree - lines",
svgGroup: qGroupLines,
visibility: "hidden"},
{ name: "quadtreePoints",
description: "Quadtree - points",
svgGroup: qGroupPoints,
visibility: "hidden"},
{ name: "boundaries",
description: "Boundaries of Lines",
svgGroup: boundariesGroup,
visibility: "hidden"},
{ name: "labels",
description: "Labels of Lines",
svgGroup: labelGroup,
visibility: "visible"},
{ name: "points",
description: "Points of lines",
svgGroup: pointGroup,
visibility: "hidden"},
{ name: "lines",
description: "Lines",
svgGroup: lineGroup,
visibility: "visible"},
{ name: "consPoints",
description: "Constraining points",
svgGroup: consPointGroup,
visibility: "visible"},
{ name: "triangle",
description: "Triangles",
svgGroup: triangleGroup,
visibility: "visible"}
];
// Create some sidebar elements
var sidebarContainer = container.append("div").attr("id", "sidebarContainer");
var toolbar = new Toolbar(sidebarContainer, groups, "Select Elements");
var lineSelector = new Selector(sidebarContainer, "Select a line");
var pointNumberSelector = new Selector(sidebarContainer, "Number to remove");
var quadtreePoints, quadtreeLines;
// Render all geometries in the corresponding groups
function renderData(lineData, pointData) {
var extent = getExtent(lineData); //[[minX, minY], [maxX, maxY]]
function projection(d) { return [(d[0]-extent[0][0]) * scale, -1 * ((d[1]-extent[0][1]) * scale)]; }
var simplify = d3.simplify().projection(projection);
// Add area of triangle to each feature
lineData.features.forEach(function(feature) {
simplify(feature.geometry)
// addTriangleSize(feature.geometry, projection);
feature = rankAfterTriangles(feature);
});
var path = d3.geo.path()
.projection(projection),
linesDataPoints = getAllPoints(lineData, projection),
consDataPoints = getAllPoints(pointData, projection);
// Inititialise the quadtree
var rawQuadtree = d3.geom.quadtree();
// rawQuadtree.extent(extent) //can generate: 'Maximum call stack size exceeded'
quadtreeLines = rawQuadtree(linesDataPoints);
quadtreePoints = rawQuadtree(consDataPoints);
// Draw the rectangles of the quadtree of all points of all lines
qRectLines = qGroupLines.selectAll(".node")
.data(nodes(quadtreeLines))
.enter().append("rect")
.attr("x", function(d) { return d.x; })
.attr("y", function(d) { return d.y; })
.attr("width", function(d) { return d.width; })
.attr("height", function(d) { return d.height; });
// Draw the rectangles of the quadtree of the constraining points
qRectPoints = qGroupPoints.selectAll(".node")
.data(nodes(quadtreePoints))
.enter().append("rect")
.attr("x", function(d) { return d.x; })
.attr("y", function(d) { return d.y; })
.attr("width", function(d) { return d.width; })
.attr("height", function(d) { return d.height; });
// Draw the boundaries of all lines
boundaries = boundariesGroup.selectAll(".node")
.data(lineData.features)
.enter().append("rect")
.attr("x", function(d) { return path.bounds(d.geometry)[0][0]; })
.attr("y", function(d) { return path.bounds(d.geometry)[0][1]; })
.attr("width", function(d) { return path.bounds(d.geometry)[1][0] - path.bounds(d.geometry)[0][0]; })
.attr("height", function(d) { return path.bounds(d.geometry)[1][1] - path.bounds(d.geometry)[0][1]; })
.attr("class", "node");
// Draw all points of the lines
points = pointGroup.selectAll(".point")
.data(linesDataPoints)
.enter().append("circle")
.attr("class", "point")
.attr("cx", function(d) { return d[0]; })
.attr("cy", function(d) { return d[1]; });
// Draw all lines
lines = lineGroup.selectAll(".line")
.data(lineData.features)
.enter().append("path")
.attr("d", function(d){ return path(d.geometry); })
.attr("class", "line")
.attr("id", function(d) { return "line" + d.properties.id });
// Draw the labels of the lines
labels = labelGroup.selectAll(".label")
.data(lineData.features)
.enter().append("text")
.attr("x", function(d) { return projection(d.geometry.coordinates[parseInt((d.geometry.coordinates.length)/2)])[0]; })
.attr("y", function(d) { return projection(d.geometry.coordinates[parseInt((d.geometry.coordinates.length)/2)])[1]; })
.text( function (d) { return d.properties.id; })
.attr("class", "label")
.attr("id", function(d) { return "label" + d.properties.id })
.attr("value", function(d) { return d.properties.id })
.on("click", function() {
var selID = parseInt(d3.select(this).attr("value"));
addSimplificationSelector(selID, path, projection);
lineSelector.setSelectedID(selID);
});
// Draw the constraining points
constrainingPoints = consPointGroup.selectAll(".consPoint")
.data(pointData.features)
.enter().append("circle")
.attr("cx", function(d) { return projection(d.geometry.coordinates)[0]; })
.attr("cy", function(d) { return projection(d.geometry.coordinates)[1]; })
.attr("class", "consPoint");
transformGroup();
// Add the line-selector to the sidebar and add action for the selected line
lineSelector.addElements(lineData.features, "Line");
lineSelector.select
// Add an action for the change of the 'lineSelector'
.on("change", function() {
addSimplificationSelector(lineSelector.selectedID(), path, projection);
});
// initially select the first line
addSimplificationSelector(1, path, projection);
}
// Load lineData & pointData and do visualisations
d3.json("lines.json", function(error, lineData) {
d3.json("points.json", function(error, pointData) {
renderData(lineData, pointData);
});
});
</script>
</body>
</html>
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(function() {
d3.simplify = function() {
var projection = d3.geo.albers();
function simplify(feature) {
if (feature.type !== "LineString") throw new Error("not yet supported");
var heap = minHeap(),
maxArea = 0,
triangle;
var points = feature.coordinates,
triangles = [];
for (var i = 1, n = feature.coordinates.length - 1; i < n; ++i) {
triangle = points.slice(i - 1, i + 2);
if (triangle[1][2] = area(triangle)) {
triangle[1][3] = triangle;
triangles.push(triangle);
heap.push(triangle);
}
}
for (var i = 0, n = triangles.length; i < n; ++i) {
triangle = triangles[i];
triangle.previous = triangles[i - 1];
triangle.next = triangles[i + 1];
}
feature.coordinates = points;
while (triangle = heap.pop()) {
// If the area of the current point is less than that of the previous point
// to be eliminated, use the latter’s area instead. This ensures that the
// current point cannot be eliminated without eliminating previously-
// eliminated points.
if (triangle[1][2] < maxArea) triangle[1][2] = maxArea;
else maxArea = triangle[1][2];
if (triangle.previous) {
triangle.previous.next = triangle.next;
triangle.previous[2] = triangle[2];
update(triangle.previous);
} else {
triangle[0][2] = triangle[1][2];
triangle[0][3] = triangle[1][3];
}
if (triangle.next) {
triangle.next.previous = triangle.previous;
triangle.next[0] = triangle[0];
update(triangle.next);
} else {
triangle[2][2] = triangle[1][2];
triangle[2][3] = triangle[1][3];
}
}
function update(triangle) {
heap.remove(triangle);
triangle[1][2] = area(triangle);
triangle[1][3] = triangle;
heap.push(triangle);
}
return feature;
}
simplify.projection = function(_) {
if (!arguments.length) return projection;
projection = _;
return simplify;
};
return simplify;
};
function compare(a, b) {
return a[1][2] - b[1][2];
}
function area(t) {
return Math.abs((t[0][0] - t[2][0]) * (t[1][1] - t[0][1]) - (t[0][0] - t[1][0]) * (t[2][1] - t[0][1]));
}
function minHeap() {
var heap = {},
array = [];
heap.push = function() {
for (var i = 0, n = arguments.length; i < n; ++i) {
var object = arguments[i];
up(object.index = array.push(object) - 1);
}
return array.length;
};
heap.pop = function() {
var removed = array[0],
object = array.pop();
if (array.length) {
array[object.index = 0] = object;
down(0);
}
return removed;
};
heap.remove = function(removed) {
var i = removed.index,
object = array.pop();
if (i !== array.length) {
array[object.index = i] = object;
(compare(object, removed) < 0 ? up : down)(i);
}
return i;
};
function up(i) {
var object = array[i];
while (i > 0) {
var up = ((i + 1) >> 1) - 1,
parent = array[up];
if (compare(object, parent) >= 0) break;
array[parent.index = i] = parent;
array[object.index = i = up] = object;
}
}
function down(i) {
var object = array[i];
while (true) {
var right = (i + 1) << 1,
left = right - 1,
down = i,
child = array[down];
if (left < array.length && compare(array[left], child) < 0) child = array[down = left];
if (right < array.length && compare(array[right], child) < 0) child = array[down = right];
if (down === i) break;
array[child.index = i] = child;
array[object.index = i = down] = object;
}
}
return heap;
}
})();
rect {
fill: none;
stroke: rgba(0%, 0%, 0%, 1);
}
.point {
fill: rgba(20%, 20%, 20%, .3);
stroke: none;
}
.line {
fill: none;
stroke: rgba(0%, 0%, 0%, .3);
}
.line.selected {
stroke: rgba(100%, 0%, 0%, 1);
}
.consPoint {
fill: rgba(100%, 0%, 0%, .7);
stroke: none;
}
.triangle {
fill: rgba(50%, 50%, 50%, .4);
stroke: none;
}
.current {
fill: rgba(0%, 100%, 0%, .7);
stroke: none;
stroke-width: .5px;
}
.label {
font-family: sans-serif;
fill: rgba(30%, 30%, 30%, 1);
cursor: pointer;
}
.label.selected {
fill: rgba(100%, 0%, 0%, 1);
}
.mainContainer > div {
display: inline-block;
vertical-align: top;
}
#svgContainer {
border: dashed 1px;
}
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