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mandelbrot.html
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mandelbrot.html
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<!--
Copyright (c) 2017, the Perspective Authors.
This file is part of the Perspective library, distributed under the terms of
the Apache License 2.0. The full license can be found in the LICENSE file.
-->
<!DOCTYPE html>
<html>
<head>
<meta
name="viewport"
content="width=device-width, initial-scale=1, maximum-scale=1, minimum-scale=1, user-scalable=no">
<script src="https://unpkg.com/@finos/perspective-viewer"></script>
<script src="https://unpkg.com/@finos/perspective-viewer-hypergrid"></script>
<script src="https://unpkg.com/@finos/perspective-viewer-d3fc"></script>
<script src="https://unpkg.com/@finos/perspective"></script>
<link rel='stylesheet' href="https://unpkg.com/@finos/perspective-viewer/dist/umd/material.css" is="custom-style">
<style>
perspective-viewer {
flex: 1;
margin: 24px;
overflow: visible;
--plugin--box-shadow: 0px 4px 3px rgba(0, 0, 0, 0.1);
--plugin--border: 1px solid #ddd;
--d3fc-positive--gradient: linear-gradient(
#94D0FF,
#8795E8,
#966bff,
#AD8CFF,
#C774E8,
#c774a9,
#FF6AD5,
#ff6a8b,
#ff8b8b,
#ffa58b,
#ffde8b,
#cdde8b,
#8bde8b,
#20de8b
);
}
perspective-viewer.macsoft {
--d3fc-positive--gradient: linear-gradient(
#1b4247,
#09979b,
#75d8d5,
#ffc0cb,
#fe7f9d,
#65323e
);
}
#app {
display: flex;
flex-direction: column;
position: absolute;
top: 0;
left: 0;
right: 0;
bottom: 0;
background-color: #eee
}
#controls {
display: flex;
margin: 24px 24px 0px 40px;
}
.range {
position: relative;
display: inline-flex;
flex-direction: column;
margin-right: 24px;
}
span, input, button {
font-family: "Open Sans";
font-size: 12px;
background: none;
margin: 0px;
border-color: #ccc;
color: #666;
padding: 6px 12px 6px 0px;
}
input {
height: 14px;
border-width: 0px;
border-style: solid;
border-bottom-width: 1px;
color: inherit;
outline: none;
}
input[type=range] {
margin-top: 2px;
}
input[type=number] {
font-family: "Roboto Mono";
}
input:focus {
border-color: #1a7da1;
}
input::placeholder {
color: #ccc;
}
button {
border: 1px solid #ccc;
text-transform: uppercase;
text-align: center;
text-decoration: none;
display: inline-block;
padding-left: 12px;
height: 28px;
outline: none;
}
button:hover {
cursor: pointer;
}
#run {
justify-self: center;
margin-right: 24px;
height: 83px;
width: 80px;
}
</style>
</head>
<body>
<div id="app">
<div id="controls">
<button id="run">Run</button>
<div class="range">
<span>Size</span>
<input id="width" min="25" max="300" type="number" placeholder="Width" value="100"></input>
<input id="height" min="25" max="300" type="number" placeholder="Height" value="50"></input>
</div>
<div class="range">
<span id="xrange">X [-0.4 , -0.1]</span>
<input id="xmin" min="-2" max="1.0" step="0.1" value="-0.4" type="range"></input>
<input id="xmax" min="-2" max="1.0" step="0.1" value="-0.1" type="range"></input>
</div>
<div class="range">
<span id="yrange">Y [-0.7 , -0.6]</span>
<input id="ymin" min="-1" max="1.0" step="0.1" value="-0.7" type="range"></input>
<input id="ymax" min="-1" max="1.0" step="0.1" value="-0.6" type="range"></input>
</div>
<div class="range">
<span>Iterations</span>
<input id="iterations" min="1" max="1000"type="number" placeholder="Iterations" value="60"></input>
<input id="batch" min="1" max="1000" type="number" placeholder="Batch Size" value="1"></input>
</div>
<div class="range">
<span>Theme</span>
<button id="theme">Macsoft</button>
</div>
</div>
<perspective-viewer
id="viewer"
class="macsoft"
plugin="d3_heatmap"
row-pivots='["x"]'
column-pivots='["y"]'
columns='["c"]'>
</perspective-viewer>
</div>
<script>
// Mandelbrot calculation
function set_defaults(iterations, args = {}) {
args.vx = args.vx || 0.0;
args.vy = args.vy || 0.0;
args.vxx = args.vxx || 0;
args.vyy = args.vyy || 0;
args.vxy = args.vxy || 0;
args.c = args.c || iterations;
}
function iter_args(cx, cy, iterations, args = {}) {
if (args.vxx + args.vyy <= 4) {
args.vxy = args.vx * args.vy;
args.vxx = args.vx * args.vx;
args.vyy = args.vy * args.vy;
args.vx = args.vxx - args.vyy + cx;
args.vy = args.vxy + args.vxy + cy;
args.c--;
}
return args;
}
function mandel_step(json, ix, iy, xmin, xmax, ymin, ymax, width, height, iterations) {
const index = ix * height + iy;
const args = json[index];
const x = xmin + ((xmax - xmin) * ix) / (width - 1);
const y = ymin + ((ymax - ymin) * iy) / (height - 1);
set_defaults(iterations, args);
const new_args = iter_args(x, y, iterations, args);
new_args.x = ix;
new_args.y = iy;
json[index] = new_args;
}
function *mandel_iter(width, height, batch) {
for (let bi = 0; bi < batch; ++bi) {
for (let ix = 0; ix < width; ++ix) {
for (let iy = 0; iy < height; ++iy) {
yield [ix, iy];
}
}
}
}
async function mandelbrot(table, view, xmin, xmax, ymin, ymax, width, height, iterations, batch) {
const run = document.getElementById("run");
let json = [];
try {
for (let ii = 0; ii < iterations / batch; ++ii) {
for (const [ix, iy] of mandel_iter(width, height, batch)) {
mandel_step(json, ix, iy, xmin, xmax, ymin, ymax, width, height, iterations);
}
table.replace(json);
json = await view.to_json();
run.innerHTML = `Stop (${ii * batch}/${iterations})`;
}
} finally {
run.innerHTML = `Run`;
}
view.delete();
}
// GUI
const SCHEMA = {
x: "integer",
y: "integer",
vx: "float",
vy: "float",
vxx: "float",
vyy: "float",
vxy: "float",
c: "float"
};
function make_range(x, y, range, name) {
const title = () =>
name + " [" +
x.valueAsNumber.toFixed(1) + ", " +
y.valueAsNumber.toFixed(1) + "]";
x.addEventListener("input", () => {
x.value = Math.min(x.valueAsNumber, y.valueAsNumber - 0.1);
range.innerHTML = title();
});
y.addEventListener("input", () => {
y.value = Math.max(x.valueAsNumber + 0.1, y.valueAsNumber);
range.innerHTML = title();
});
}
const make_theme_click_callback = (theme, viewer) => () => {
if (theme.innerHTML === "Vaporwave") {
theme.innerHTML = "Macsoft";
viewer.classList.add("macsoft");
} else {
theme.innerHTML = "Vaporwave";
viewer.classList.remove("macsoft");
}
}
const make_run_click_callback = (worker, state) => async () => {
if (window.run.innerHTML.trim() !== "Run") {
state.view.delete();
window.run.innerHTML = "Run";
return;
}
window.run.innerHTML = `Stop (0/${window.iterations.valueAsNumber})`;
const old_table = state.table;
if (state.view) {
state.view.delete();
}
state.table = worker.table(SCHEMA);
state.view = state.table.view();
mandelbrot(state.table, state.view, ...[
"xmin",
"xmax",
"ymin",
"ymax",
"width",
"height",
"iterations",
"batch"
].map(x => window[x].valueAsNumber));
window.viewer.load(state.table);
if (old_table) {
old_table.delete();
}
}
// Main
window.addEventListener("WebComponentsReady", async function() {
make_range(xmin, xmax, xrange, "X");
make_range(ymin, ymax, yrange, "Y");
theme.addEventListener("click", make_theme_click_callback(theme, viewer));
run.addEventListener("click", make_run_click_callback(window.perspective.worker(), {}));
run.dispatchEvent(new Event("click"));
});
</script>
</body>
</html>