Published
Edited
Sep 2, 2020
15 forks
126 stars
Insert cell
Insert cell
Insert cell
Insert cell
Insert cell
Insert cell
Insert cell
Insert cell
Insert cell
Insert cell
Insert cell
Insert cell
Insert cell
Insert cell
Insert cell
Insert cell
Insert cell
Insert cell
viewof alpha = html`<input type=range min=0 max=2 value=0.6667 step=any>`
Insert cell
viewof beta = html`<input type=range min=0 max=2 value=1.3333 step=any>`
Insert cell
viewof gamma = html`<input type=range min=0 max=2 value=1 step=any>`
Insert cell
viewof delta = html`<input type=range min=0 max=2 value=1 step=any>`
Insert cell
function changeChart(positiveColor, options, f1, f2) {
const [T, X, Y] = simulate(options);

const height = 240;
const margin = {top: 20, right: 30, bottom: 30, left: 40};
const x = d3.scaleLinear().domain([0, 24]).range([margin.left, width - margin.right]);
const y = d3.scaleLinear().domain([0, 4]).range([height - margin.bottom, margin.top]);

const svg = d3.select(DOM.svg(width, height));
const positive = DOM.uid("positive");
const negative = DOM.uid("negative");
const defs = svg.append("defs");

defs.append("clipPath").attr("id", positive.id).append("path")
.attr("d", d3.area().x(x).y0(0).y1((t, i) => y(f2(X[i], Y[i])))(T));

defs.append("clipPath").attr("id", negative.id).append("path")
.attr("d", d3.area().x(x).y0(0).y1((t, i) => y(f1(X[i], Y[i])))(T));

svg.append("g")
.attr("transform", `translate(0,${y(0)})`)
.call(d3.axisBottom(x))
.call(g => g.select(".tick:first-of-type text").text("t = 0"));

svg.append("g")
.attr("transform", `translate(${margin.left},0)`)
.call(d3.axisLeft(y).ticks(5, "+f"));

svg.append("path")
.attr("clip-path", positive)
.attr("fill", positiveColor)
.attr("fill-opacity", 0.7)
.attr("d", d3.area().x(x).y0(y(0)).y1((t, i) => y(f1(X[i], Y[i])))(T));

svg.append("path")
.attr("clip-path", negative)
.attr("fill", negativeColor)
.attr("fill-opacity", 0.7)
.attr("d", d3.area().x(x).y0(y(0)).y1((t, i) => y(f2(X[i], Y[i])))(T));

svg.append("path")
.attr("fill", "none")
.attr("stroke", color1)
.attr("stroke-width", 1.5)
.attr("d", d3.line().x(x).y((t, i) => y(f1(X[i], Y[i])))(T));

svg.append("path")
.attr("fill", "none")
.attr("stroke", color2)
.attr("stroke-width", 1.5)
.attr("d", d3.line().x(x).y((t, i) => y(f2(X[i], Y[i])))(T));

return svg.node();
}
Insert cell
viewof xy = new View([1.4, 1.6])
Insert cell
simulate = {
const l = 24, k = 20, n = l * k;
const solver = new odex.Solver(2);
solver.denseOutput = true;
return ({alpha, beta, gamma, delta, x0, y0}) => {
let i = 0;
const T = new Float64Array(n);
const X = new Float64Array(n);
const Y = new Float64Array(n);
const input = (_, [x, y]) => [alpha * x - beta * x * y, delta * x * y - gamma * y];
const output = solver.grid(1 / k, (t, [x, y]) => (T[i] = t, X[i] = x, Y[i] = y, ++i));
solver.solve(input, 0, [x0, y0], l, output);
return [T, X, Y];
};
}
Insert cell
function cycle(T, X, Y) {
let j, x0 = X[0], x1 = X[1], x2;
for (let i = 2, n = T.length; i < n; ++i) {
x0 = x1, x1 = x2, x2 = X[i];
if (x0 > x1 && x1 < x2) {
if (j > 0) return [T.slice(j, i), X.slice(j, i), Y.slice(j, i)];
j = i;
}
}
return [T, X, Y]; // Unable to find cycle!
}
Insert cell
xColor = d3.schemeCategory10[6]
Insert cell
yColor = d3.schemeCategory10[5]
Insert cell
color1 = d3.schemeCategory10[2]
Insert cell
color2 = d3.schemeCategory10[3]
Insert cell
negativeColor = "#aaa"
Insert cell
class View {
constructor(value) {
this._list = [];
this._value = value;
}
get value() {
return this._value;
}
set value(value) {
this._value = value;
this.dispatchEvent({type: "input", value});
}
addEventListener(type, listener) {
if (type != "input" || this._list.includes(listener)) return;
this._list = [listener].concat(this._list);
}
removeEventListener(type, listener) {
if (type != "input") return;
this._list = this._list.filter(l => l !== listener);
}
dispatchEvent(event) {
const p = Promise.resolve(event);
this._list.forEach(l => p.then(l));
}
}
Insert cell
exports = window.exports = {}
Insert cell
odex = require("odex@2").catch(() => exports)
Insert cell
d3 = require("d3@6")
Insert cell

Purpose-built for displays of data

Observable is your go-to platform for exploring data and creating expressive data visualizations. Use reactive JavaScript notebooks for prototyping and a collaborative canvas for visual data exploration and dashboard creation.
Learn more