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diafygi/d3.v3.min.js

Created September 9, 2014 22:11
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d3.v3.min.js
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Raw
delaunay.js
//From https://github.com/ironwallaby/delaunay
//License: Public Domain
var Delaunay;
(function() {
"use strict";
var EPSILON = 1.0 / 1048576.0;
function supertriangle(vertices) {
var xmin = Number.POSITIVE_INFINITY,
ymin = Number.POSITIVE_INFINITY,
xmax = Number.NEGATIVE_INFINITY,
ymax = Number.NEGATIVE_INFINITY,
i, dx, dy, dmax, xmid, ymid;
for(i = vertices.length; i--; ) {
if(vertices[i][0] < xmin) xmin = vertices[i][0];
if(vertices[i][0] > xmax) xmax = vertices[i][0];
if(vertices[i][1] < ymin) ymin = vertices[i][1];
if(vertices[i][1] > ymax) ymax = vertices[i][1];
}
dx = xmax - xmin;
dy = ymax - ymin;
dmax = Math.max(dx, dy);
xmid = xmin + dx * 0.5;
ymid = ymin + dy * 0.5;
return [
[xmid - 20 * dmax, ymid - dmax],
[xmid , ymid + 20 * dmax],
[xmid + 20 * dmax, ymid - dmax]
];
}
function circumcircle(vertices, i, j, k) {
var x1 = vertices[i][0],
y1 = vertices[i][1],
x2 = vertices[j][0],
y2 = vertices[j][1],
x3 = vertices[k][0],
y3 = vertices[k][1],
fabsy1y2 = Math.abs(y1 - y2),
fabsy2y3 = Math.abs(y2 - y3),
xc, yc, m1, m2, mx1, mx2, my1, my2, dx, dy;
/* Check for coincident points */
if(fabsy1y2 < EPSILON && fabsy2y3 < EPSILON)
throw new Error("Eek! Coincident points!");
if(fabsy1y2 < EPSILON) {
m2 = -((x3 - x2) / (y3 - y2));
mx2 = (x2 + x3) / 2.0;
my2 = (y2 + y3) / 2.0;
xc = (x2 + x1) / 2.0;
yc = m2 * (xc - mx2) + my2;
}
else if(fabsy2y3 < EPSILON) {
m1 = -((x2 - x1) / (y2 - y1));
mx1 = (x1 + x2) / 2.0;
my1 = (y1 + y2) / 2.0;
xc = (x3 + x2) / 2.0;
yc = m1 * (xc - mx1) + my1;
}
else {
m1 = -((x2 - x1) / (y2 - y1));
m2 = -((x3 - x2) / (y3 - y2));
mx1 = (x1 + x2) / 2.0;
mx2 = (x2 + x3) / 2.0;
my1 = (y1 + y2) / 2.0;
my2 = (y2 + y3) / 2.0;
xc = (m1 * mx1 - m2 * mx2 + my2 - my1) / (m1 - m2);
yc = (fabsy1y2 > fabsy2y3) ?
m1 * (xc - mx1) + my1 :
m2 * (xc - mx2) + my2;
}
dx = x2 - xc;
dy = y2 - yc;
return {i: i, j: j, k: k, x: xc, y: yc, r: dx * dx + dy * dy};
}
function dedup(edges) {
var i, j, a, b, m, n;
for(j = edges.length; j; ) {
b = edges[--j];
a = edges[--j];
for(i = j; i; ) {
n = edges[--i];
m = edges[--i];
if((a === m && b === n) || (a === n && b === m)) {
edges.splice(j, 2);
edges.splice(i, 2);
break;
}
}
}
}
Delaunay = {
triangulate: function(vertices, key) {
var n = vertices.length,
i, j, indices, st, open, closed, edges, dx, dy, a, b, c;
/* Bail if there aren't enough vertices to form any triangles. */
if(n < 3)
return [];
/* Slice out the actual vertices from the passed objects. (Duplicate the
* array even if we don't, though, since we need to make a supertriangle
* later on!) */
vertices = vertices.slice(0);
if(key)
for(i = n; i--; )
vertices[i] = vertices[i][key];
/* Make an array of indices into the vertex array, sorted by the
* vertices' x-position. */
indices = new Array(n);
for(i = n; i--; )
indices[i] = i;
indices.sort(function(i, j) {
return vertices[j][0] - vertices[i][0];
});
/* Next, find the vertices of the supertriangle (which contains all other
* triangles), and append them onto the end of a (copy of) the vertex
* array. */
st = supertriangle(vertices);
vertices.push(st[0], st[1], st[2]);
/* Initialize the open list (containing the supertriangle and nothing
* else) and the closed list (which is empty since we havn't processed
* any triangles yet). */
open = [circumcircle(vertices, n + 0, n + 1, n + 2)];
closed = [];
edges = [];
/* Incrementally add each vertex to the mesh. */
for(i = indices.length; i--; edges.length = 0) {
c = indices[i];
/* For each open triangle, check to see if the current point is
* inside it's circumcircle. If it is, remove the triangle and add
* it's edges to an edge list. */
for(j = open.length; j--; ) {
/* If this point is to the right of this triangle's circumcircle,
* then this triangle should never get checked again. Remove it
* from the open list, add it to the closed list, and skip. */
dx = vertices[c][0] - open[j].x;
if(dx > 0.0 && dx * dx > open[j].r) {
closed.push(open[j]);
open.splice(j, 1);
continue;
}
/* If we're outside the circumcircle, skip this triangle. */
dy = vertices[c][1] - open[j].y;
if(dx * dx + dy * dy - open[j].r > EPSILON)
continue;
/* Remove the triangle and add it's edges to the edge list. */
edges.push(
open[j].i, open[j].j,
open[j].j, open[j].k,
open[j].k, open[j].i
);
open.splice(j, 1);
}
/* Remove any doubled edges. */
dedup(edges);
/* Add a new triangle for each edge. */
for(j = edges.length; j; ) {
b = edges[--j];
a = edges[--j];
open.push(circumcircle(vertices, a, b, c));
}
}
/* Copy any remaining open triangles to the closed list, and then
* remove any triangles that share a vertex with the supertriangle,
* building a list of triplets that represent triangles. */
for(i = open.length; i--; )
closed.push(open[i]);
open.length = 0;
for(i = closed.length; i--; )
if(closed[i].i < n && closed[i].j < n && closed[i].k < n)
open.push(closed[i].i, closed[i].j, closed[i].k);
/* Yay, we're done! */
return open;
},
contains: function(tri, p) {
/* Bounding box test first, for quick rejections. */
if((p[0] < tri[0][0] && p[0] < tri[1][0] && p[0] < tri[2][0]) ||
(p[0] > tri[0][0] && p[0] > tri[1][0] && p[0] > tri[2][0]) ||
(p[1] < tri[0][1] && p[1] < tri[1][1] && p[1] < tri[2][1]) ||
(p[1] > tri[0][1] && p[1] > tri[1][1] && p[1] > tri[2][1]))
return null;
var a = tri[1][0] - tri[0][0],
b = tri[2][0] - tri[0][0],
c = tri[1][1] - tri[0][1],
d = tri[2][1] - tri[0][1],
i = a * d - b * c;
/* Degenerate tri. */
if(i === 0.0)
return null;
var u = (d * (p[0] - tri[0][0]) - b * (p[1] - tri[0][1])) / i,
v = (a * (p[1] - tri[0][1]) - c * (p[0] - tri[0][0])) / i;
/* If we're outside the tri, fail. */
if(u < 0.0 || v < 0.0 || (u + v) > 1.0)
return null;
return [u, v];
}
};
if(typeof module !== "undefined")
module.exports = Delaunay;
})();
Raw
index.html
<!DOCTYPE html>
<html>
<head>
<meta http-equiv="Content-Type" content="text/html; charset=utf-8">
<style>
svg{
display:inline-block;
}
</style>
</head>
<body>
<p>
<input id="type_manual" type="radio" name="dataset_type" value="manual" checked="checked"/>
Manual:
<input type="text" id="dataset_manual" value="[[0,0,0], [1,0,0], [2,0,0], [3,0,0], [0,1,0], [1,1,6], [2,1,4], [3,1,0], [0,2,0], [1,2,4], [2,2,6], [3,2,0], [0,3,0], [1,3,0], [2,3,0], [3,3,0]]"/>
<br/>
<input id="type_random" type="radio" name="dataset_type" value="random"/>
Random:
<input type="text" id="dataset_random" value="20"/> points
<br/>
<input id="type_cosine" type="radio" name="dataset_type" value="cosine"/>
Cosine plane:
<input type="text" id="dataset_cosine" value="20"/> density
<br/>
<input id="show_triangles" type="checkbox"/>
show gradient outlines
</p>
<script src="d3.v3.min.js"></script>
<script src="delaunay.js"></script>
<script>
var w = 400,
h = 400;
var colors = [
[0.00, "#00f"],
[0.33, "#0f0"],
[0.66, "#f00"],
[1.00, "#fff"],
];
var SHOW_TRIANGLES = document.getElementById("show_triangles").checked;
//calculate the heatmap paths
function gradient_paths(data){
//get min/max values
var max_x = d3.max(data, function(d){ return d[0]; }),
max_y = d3.max(data, function(d){ return d[1]; }),
min_z = d3.min(data, function(d){ return d[2]; }),
max_z = d3.max(data, function(d){ return d[2]; });
//scale points
var X = d3.scale.linear()
.domain([0, max_x])
.range([0, w]);
var Y = d3.scale.linear()
.domain([0, max_y])
.range([0, h]);
//translate z values into colors
var z_domain = [], color_range = [];
for(var z = 0; z < colors.length; z++){
z_domain.push((max_z - min_z) * colors[z][0] + min_z);
color_range.push(colors[z][1]);
}
var Z = d3.scale.linear()
.domain(z_domain)
.range(color_range);
//scale line
var line = d3.svg.line()
.x(function(d){ return d[0]; })
.y(function(d){ return d[1]; })
.interpolate("linear");
//calculate stops for the gradients based on the color domain
function calc_stops(z1, z2){
var z_list = [];
//no gradient, so just one stop
if(z1 === z2){
z_list.push({"color": Z(z1), "offset": 1});
}
//positive gradient
else if(z2 > z1){
z_list.push({"color": Z(z1), "offset": 0});
//add stops for all the color shifts
for(var i = 0; i < z_domain.length; i++){
if(z_domain[i] <= z1 || z_domain[i] >= z2){
continue;
}
z_list.push({
"color": Z(z_domain[i]),
"offset": (z_domain[i] - z1) / (z2 - z1),
});
}
z_list.push({"color": Z(z2), "offset": 1});
}
//negative gradient
else if(z2 < z1){
z_list.push({"color": Z(z1), "offset": 0});
//add stops for all the color shifts
for(var i = z_domain.length - 1; i >= 0; i--){
if(z_domain[i] >= z1 || z_domain[i] <= z2){
continue;
}
z_list.push({
"color": Z(z_domain[i]),
"offset": (z_domain[i] - z1) / (z2 - z1),
});
}
z_list.push({"color": Z(z2), "offset": 1});
}
return z_list;
}
//calculate gradients from three points
var id_counter = 0;
function calc_gradients(p1, p2, p3, no_scale){
var result = [];
//transform to scale
if(!no_scale){
p1 = [X(p1[0]), Y(p1[1]), p1[2]];
p2 = [X(p2[0]), Y(p2[1]), p2[2]];
p3 = [X(p3[0]), Y(p3[1]), p3[2]];
}
//no gradient if all the points are the same z
if(p1[2] === p2[2] && p1[2] === p3[2]){
result.push({
"path": line([p1, p2, p3, p1]),
"id": "grad" + id_counter,
"start": [p1[0], p1[1]],
"end": [p1[0], p1[1]],
"stops": calc_stops(p1[2], p1[2]),
});
}
//single gradient if two points are same z
else if(p1[2] === p2[2] || p1[2] === p3[2] || p2[2] === p3[2]){
//make points z1 and z2 be along the same-z line
if(p1[2] === p2[2]){
var z1 = p1;
var z2 = p2;
var z3 = p3;
}
else if(p1[2] === p3[2]){
var z1 = p1;
var z2 = p3;
var z3 = p2;
}
else if(p2[2] === p3[2]){
var z1 = p2;
var z2 = p3;
var z3 = p1;
}
//find line perpendicular to same-z line
//(vertical special case)
if(z2[0] - z1[0] < 0.00001 && z2[0] - z1[0] > -0.00001){
var intersect_x = z1[0];
var intersect_y = z3[1];
}
//(horizontal special case)
else if(z2[1] - z1[1] < 0.00001 && z2[1] - z1[1] > -0.00001){
var intersect_x = z3[0];
var intersect_y = z1[1];
}
//(normal case)
else{
var m1 = (z2[1] - z1[1]) / (z2[0] - z1[0]);
//find point where same-z line intersects
var intersect_x = (z3[1] - z1[1] + (m1 * z1[0]) + (z3[0] / m1)) / (m1 + 1 / m1);
var intersect_y = (-1 / m1) * intersect_x + (z3[0] / m1) + z3[1];
}
//make gradient follow the perpendiular line segment
result.push({
"path": line([p1, p2, p3, p1]),
"id": "grad" + id_counter,
"start": [z3[0], z3[1]],
"end": [intersect_x, intersect_y],
"stops": calc_stops(z3[2], z1[2]),
});
}
//split up triangle into two smaller triangles
//(so the linear gradients match up)
else{
//sort points based on z value
var p123 = [p1, p2, p3].sort(function(a, b){
if(a[2] < b[2]){
return true;
}
return false;
});
var z1 = p123[0],
z2 = p123[1],
z3 = p123[2];
//determine location of z2 value on the z1-to-z3 line
//(vertical case)
if(z3[0] - z1[0] < 0.00001 && z3[0] - z1[0] > -0.00001){
var m = (z3[2] - z1[2]) / (z3[1] - z1[1]);
var b = z1[2] - m * z1[1];
var intersect_x = z1[0];
var intersect_y = (z2[2] - b) / m;
}
//(horizontal case)
else if(z3[1] - z1[1] < 0.00001 && z3[1] - z1[1] > -0.00001){
var m = (z3[2] - z1[2]) / (z3[0] - z1[0]);
var b = z1[2] - m * z1[0];
var intersect_x = (z2[2] - b) / m;
var intersect_y = z1[1];
}
//(normal case)
else{
var intersect_x = (z3[0] - z1[0]) / (z3[2] - z1[2]) * (z2[2] - z3[2]) + z3[0];
var intersect_y = (z3[1] - z1[1]) / (z3[2] - z1[2]) * (z2[2] - z3[2]) + z3[1];
}
//get gradients for two smaller triangles
result = result.concat(calc_gradients(z1, z2, [intersect_x, intersect_y, z2[2]], true));
result = result.concat(calc_gradients(z2, z3, [intersect_x, intersect_y, z2[2]], true));
}
id_counter += 1;
return result;
}
//get the Delaunay triangles
var delaunay_indexes = Delaunay.triangulate(data);
//Go through grid and calculate gradients for each triangle
var result = [];
for(var i = 0; i < delaunay_indexes.length; i+=3){
result = result.concat(calc_gradients(
data[delaunay_indexes[i + 0]],
data[delaunay_indexes[i + 1]],
data[delaunay_indexes[i + 2]]
));
}
return result;
}
//insert the heatmap
function heatmap(data, location){
var paths = gradient_paths(data);
//add the gradients
var grads = location.selectAll("linearGradient")
.data(paths)
.enter().append("linearGradient")
.attr("id", function(d){ return d.id; })
.attr("x1", function(d){ return d.start[0]; })
.attr("y1", function(d){ return d.start[1]; })
.attr("x2", function(d){ return d.end[0]; })
.attr("y2", function(d){ return d.end[1]; })
.attr("gradientUnits", "userSpaceOnUse");
//add the stops for the gradients
grads.selectAll("stop")
.data(function(d){ return d.stops; })
.enter().append("stop")
.attr("offset", function(d){ return d.offset; })
.attr("stop-color", function(d){ return d.color; });
//add the triangles and associate them with their gradients
location.selectAll("path")
.data(paths)
.enter().append("path")
.attr("d", function(d){ return d.path; })
.style("stroke-width", 1)
.style("stroke", function(d){ return SHOW_TRIANGLES ? "#000" : "url(#" + d.id + ")"; })
.style("fill", function(d){ return "url(#" + d.id + ")"; });
}
//generate some random data
function dataset_random(size){
var d = [[0,0,0], [1,0,0], [0,1,0], [1,1,0]]; //corners are always zero
for(var i = 0; i < size; i++){
d.push([Math.random(), Math.random(), Math.random() * 50]);
}
return d;
}
//generate a cosine plane
function dataset_cosine(density){
var d = [];
for(var i = 0; i < density; i++){
for(var j = 0; j < density; j++){
//z = cos(sqrt(x^2 + y^2))
var x = i / density * Math.PI * 50,
y = j / density * Math.PI * 50;
var z = Math.cos(Math.pow(Math.pow(x, 2) + Math.pow(y, 2), 0.5));
d.push([i, j, z]);
}
}
return d;
}
//compare the heatmap to a simple circle grid
function circle_grid(data, location){
//calculate scales
var max_x = d3.max(data, function(d){ return d[0]; }),
max_y = d3.max(data, function(d){ return d[1]; }),
min_z = d3.min(data, function(d){ return d[2]; }),
max_z = d3.max(data, function(d){ return d[2]; });
var X = d3.scale.linear()
.domain([0, max_x])
.range([0, w]);
var Y = d3.scale.linear()
.domain([0, max_y])
.range([0, h]);
var R = d3.scale.linear()
.domain([min_z, max_z])
.range([1, 10]);
location.selectAll("circle")
.data(data)
.enter().append("circle")
.attr("cx", function(d){ return X(d[0]); })
.attr("cy", function(d){ return Y(d[1]); })
.attr("r", function(d){ return R(d[2]); })
.attr("fill", "steelblue");
}
//TODO: interpolate based on chart size, not dataset size
var svg1 = d3.select("body").append("svg")
.attr("id", "heatmap")
.attr("width", w)
.attr("height", h);
var svg2 = d3.select("body").append("svg")
.attr("id", "spots")
.attr("width", w)
.attr("height", h);
//event that fires when there are data updates
function change_type(){
//get dataset
if(document.getElementById("type_manual").checked){
var dataset = JSON.parse(document.getElementById("dataset_manual").value);
}
else if(document.getElementById("type_random").checked){
var dataset = dataset_random(parseInt(document.getElementById("dataset_random").value));
}
else if(document.getElementById("type_cosine").checked){
var dataset = dataset_cosine(parseInt(document.getElementById("dataset_cosine").value));
}
//remove existing data
document.getElementById("heatmap").innerHTML = "";
document.getElementById("spots").innerHTML = "";
//update charts
heatmap(dataset, svg1);
circle_grid(dataset, svg2);
}
//event that fires when you want to see the triangle outlines
function change_lines(){
SHOW_TRIANGLES = document.getElementById("show_triangles").checked;
change_type();
}
//bind change events
document.getElementById("type_manual").addEventListener("change", change_type);
document.getElementById("type_random").addEventListener("change", change_type);
document.getElementById("type_cosine").addEventListener("change", change_type);
document.getElementById("dataset_manual").addEventListener("blur", change_type);
document.getElementById("dataset_random").addEventListener("blur", change_type);
document.getElementById("dataset_cosine").addEventListener("blur", change_type);
document.getElementById("show_triangles").addEventListener("change", change_lines);
//initialize
change_type();
</script>
</body>
</html>
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