Procházet zdrojové kódy

Rework of the app using Svelte

master
Mattéo Delabre před 5 roky
rodič
revize
c367880ec8
Signed by: matteo GPG Key ID: AE3FBD02DC583ABB
  1. 44
      .eslintrc
  2. 2
      .gitignore
  3. 56
      CONTRIBUTING.fr.md
  4. 52
      CONTRIBUTING.md
  5. 121
      COPYING
  6. 19
      README.fr.md
  7. 18
      README.md
  8. 5941
      bundle.js
  9. binární
      images/avatar.jpg
  10. binární
      images/setting1.png
  11. binární
      images/setting2.png
  12. binární
      images/setting3.png
  13. binární
      images/setting4.png
  14. 17
      index.html
  15. 2224
      package-lock.json
  16. 40
      package.json
  17. 16
      public/global.css
  18. 17
      public/index.html
  19. 42
      rollup.config.js
  20. 26
      scripts/app.js
  21. 48
      scripts/chaos.js
  22. 34
      scripts/controls.js
  23. 246
      scripts/fractal.js
  24. 41
      scripts/ifs.js
  25. 10
      scripts/index.js
  26. 224
      src/App.svelte
  27. 147
      src/Chaos.svelte
  28. 119
      src/Point.svelte
  29. 4
      src/main.js
  30. 27
      src/util.js
  31. 11
      styles/index.css

44
.eslintrc

@ -1,44 +0,0 @@
{
"extends": "eslint:recommended",
"rules": {
"no-shadow": 2,
"no-catch-shadow": 2,
"no-shadow-restricted-names": 2,
"radix": 2,
"wrap-iife": 2,
"yoda": 2,
"semi": 2,
"indent": 2,
"camelcase": 2,
"brace-style": 2,
"comma-spacing": 2,
"comma-style": 2,
"quotes": [2, "single", "avoid-escape"],
"no-spaced-func": 2,
"space-after-keywords": 2,
"space-before-blocks": 2,
"space-before-function-paren": [2, {"anonymous": "always", "named": "never"}],
"space-in-parens": 2,
"space-infix-ops": 2,
"space-return-throw-case": 2,
"space-unary-ops": 2,
"no-trailing-spaces": 0,
"no-underscore-dangle": 0
},
"ecmaFeatures": {
"modules": true,
"jsx": true
},
"plugins": [
"react"
],
"env": {
"es6": true,
"browser": true
}
}

2
.gitignore

@ -1 +1,3 @@
*.map
node_modules
public/bundle.*

56
CONTRIBUTING.fr.md

@ -1,56 +0,0 @@
# Contribuer
[Looking for the english version?](CONTRIBUTING.md)
Merci de votre intérêt à contribuer à ce code !
Toutes les contributions (même les plus petites) sont les bienvenues.
Pour garder une certaine cohérence dans le code, merci de suivre
ces quelques règles.
## 1. Commit tags
Tous les commits doivent être précédés d'emojis dans la mesure
du possible pour que la liste des commits soit plus lisible.
| Emoji | Type de commit |
|:----------:|:---------------------------------|
| :book: | Changement dans la documentation |
| :bug: | Correction de bug |
| :ledger: | Déplacement de fichiers |
| :bulb: | Nouvelles fonctionnalités |
| :lipstick: | Correction du style de code |
## 2. Branches
Merci d'utiliser un nom de branche différent de
`master` pour vos pull requests, pour que l'historique
soit plus lisible.
Par exemple, pour améliorer la documentation, vous
pourriez choisir le nom `improve-docs`.
## 3. Conventions de style
Le code Javascript peut être écrit suivant
[beaucoup](https://google-styleguide.googlecode.com/svn/trunk/javascriptguide.xml)
[de](https://github.com/airbnb/javascript)
[styles](https://github.com/felixge/node-style-guide)
[différents](https://contribute.jquery.org/style-guide/js/)
mais nous ne sommes pas aussi durs que ceux-ci.
La règle principale est d'utiliser [ESLint](http://eslint.org/) pour
vérifier si votre code s'accorde avec nos conventions de style.
Voici quelques unes des règles :
* utiliser le paramètre de base dans `parseInt()`;
* utiliser le *one true brace style;*
* mettre un espace après les virgules, pas d'espace avant;
* mettre les virgules à la fin des lignes de préférence;
* utiliser des guillemets simples;
* écrire en camelcase;
* utiliser 4 espaces pour l'indentation.
## 4. Langue
De préférence, les noms de variables, fonctions, le texte des commentaires,
les descriptions de commits doivent être écrits en *anglais.*

52
CONTRIBUTING.md

@ -1,52 +0,0 @@
# Contributing
[Voir ceci en français](CONTRIBUTING.fr.md)
Thank you for your interest in contributing to this repo!
All contributions (even small ones) are welcome.
In order to keep this repo consistent, please
try to follow these rules.
## 1. Commit tags
All commits should be tagged with emojis whenever possible
to make the commit list more readable.
| Emoji | Commit content |
|:----------:|:--------------------- |
| :book: | Documentation updates |
| :bug: | Bug fixes |
| :ledger: | Moving files |
| :bulb: | New features |
| :lipstick: | Fixing coding style |
## 2. Branches
Please use a branch name that differs from `master`
when making pull requests, so that the network
history is more readable.
For example, if you wanted to fix the issue
"improve documentation", you could have
chosen the following branch name: `improve-docs`.
## 3. Coding style
Javascript can be authored by following
[a](https://google-styleguide.googlecode.com/svn/trunk/javascriptguide.xml)
[lot](https://github.com/airbnb/javascript)
[of](https://github.com/felixge/node-style-guide)
[different](https://contribute.jquery.org/style-guide/js/)
[style guides](https://developer.mozilla.org/en-US/docs/Mozilla/Developer_guide/Coding_Style)
but we decided to be a bit soft on that.
As a rule of thumb, use [ESLint](http://eslint.org/) to check if your code complies
with our style conventions. Here are some of the rules:
* use the radix parameter in `parseInt()` calls;
* use the *one true brace style;*
* put one space after commas, and no space before;
* put your comma at the end of the lines;
* use simple quotes;
* use camelcase;
* use 4 spaces for indentation.

121
COPYING

@ -1,121 +0,0 @@
Creative Commons Legal Code
CC0 1.0 Universal
CREATIVE COMMONS CORPORATION IS NOT A LAW FIRM AND DOES NOT PROVIDE
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THE USE OF THIS DOCUMENT OR THE INFORMATION OR WORKS PROVIDED
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19
README.fr.md

@ -1,19 +0,0 @@
# Chaos
[Looking for the english version?](README.md)
Créer des fractales avec le jeu du chaos.
== À FAIRE ==
## Contribuer
Toutes les informations sont dans le
[guide du contributeur.](https://github.com/matteodelabre/chaos/blob/master/CONTRIBUTING.fr.md)
## Licence
Chaos ― Créer des fractales avec le jeu du chaos.
Écrit en 2013 ― 2015 par Mattéo Delabre ([bonjour@matteodelabre.me](mailto:bonjour@matteodelabre.me)).
Dans la mesure permise par la loi, l'auteur dédie mondialement tous ses droits d'auteur et droits voisins sur ce logiciel au **domaine public.** Ce logiciel est distribué sans aucune garantie.
Vous devriez avoir reçu une copie du *CC0 Domain Dedication* avec ce logiciel. Sinon, voir http://creativecommons.org/publicdomain/zero/1.0/.

18
README.md

@ -1,18 +0,0 @@
# Chaos
[Voir ceci en français](README.fr.md)
Creating fractals with the chaos game.
== TODO ==
## Contributing
Check out the [contribution guide.](https://github.com/matteodelabre/chaos/blob/master/CONTRIBUTING.md)
## License
Chaos ― Creating fractals with the chaos game.
Written in 2013 ― 2015 by Mattéo Delabre ([bonjour@matteodelabre.me](mailto:bonjour@matteodelabre.me)).
To the extent possible under law, the author(s) have dedicated all copyright and related and neighboring rights to this software to the **public domain** worldwide. This software is distributed without any warranty.
You should have received a copy of the CC0 Public Domain Dedication along with this software. If not, see http://creativecommons.org/publicdomain/zero/1.0/.

5941
bundle.js

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17
index.html

@ -1,17 +0,0 @@
<!DOCTYPE html>
<html lang="fr">
<head>
<meta charset="utf-8">
<title>Chaos game</title>
<link href="https://fonts.googleapis.com/css?family=Source+Sans+Pro:400,700,400italic|Playfair+Display:400,400italic,700" rel="stylesheet">
<link href="https://matteodelabre.me/styles/common.css" rel="stylesheet">
<link href="https://matteodelabre.me/styles/demos.css" rel="stylesheet">
<link href="styles/index.css" rel="stylesheet">
</head>
<body>
<div id="react"></div>
<script src="bundle.js"></script>
</body>
</html>

2224
package-lock.json

Rozdílový obsah nebyl zobrazen, protože je příliš veliký

40
package.json

@ -1,33 +1,23 @@
{
"name": "chaos",
"version": "1.0.0",
"description": "Plotting fractals with the chaos game",
"repository": {
"type": "git",
"url": "git+https://github.com/matteodelabre/chaos.git"
"version": "2.0.0",
"description": "Exploring the chaos game",
"license": "CC0",
"private": true,
"devDependencies": {
"rollup": "^1.17.0",
"rollup-plugin-commonjs": "^10.0.1",
"rollup-plugin-livereload": "^1.0.1",
"rollup-plugin-node-resolve": "^5.2.0",
"rollup-plugin-svelte": "^5.1.0",
"rollup-plugin-terser": "^5.1.1",
"svelte": "^3.6.9"
},
"scripts": {
"build": "browserify -t [ babelify --presets [ es2015 react ] ] scripts/index.js | babel --presets es2015 > bundle.js"
"build": "rollup -c",
"autobuild": "rollup -c -w"
},
"keywords": [
"chaos",
"fractals",
"game"
],
"author": "Mattéo Delabre",
"license": "CC0-1.0",
"bugs": {
"url": "https://github.com/matteodelabre/chaos/issues"
},
"homepage": "https://github.com/matteodelabre/chaos#readme",
"dependencies": {
"babel-cli": "^6.3.17",
"babel-preset-es2015": "^6.3.13",
"babel-preset-react": "^6.3.13",
"babelify": "^7.2.0",
"browserify": "^12.0.1",
"react": "^0.14.3",
"react-dom": "^0.14.3",
"the-dom": "^0.1.0"
"ml-matrix": "^6.2.0"
}
}

16
public/global.css

@ -0,0 +1,16 @@
body, html
{
height: 100%;
overflow: hidden;
margin: 0;
padding: 0;
outline: 0;
--easing: cubic-bezier(0.4, 0.0, 0.2, 1);
}
*, *::before, *::after
{
box-sizing: border-box;
}

17
public/index.html

@ -0,0 +1,17 @@
<!DOCTYPE html>
<html>
<head>
<meta charset="utf8">
<meta name="viewport" content="width=device-width">
<title>Chaos game</title>
<link rel="stylesheet" href="/global.css">
<link rel="stylesheet" href="/bundle.css">
<script defer src="/bundle.js"></script>
</head>
<body>
</body>
</html>

42
rollup.config.js

@ -0,0 +1,42 @@
import svelte from 'rollup-plugin-svelte';
import resolve from 'rollup-plugin-node-resolve';
import commonjs from 'rollup-plugin-commonjs';
import livereload from 'rollup-plugin-livereload';
import { terser } from 'rollup-plugin-terser';
const production = !process.env.ROLLUP_WATCH;
export default {
input: 'src/main.js',
output: {
sourcemap: true,
format: 'iife',
name: 'app',
file: 'public/bundle.js'
},
plugins: [
svelte({
dev: !production,
css: css => css.write('public/bundle.css')
}),
resolve({
browser: true,
dedupe: importee => importee === 'svelte'
|| importee.startsWith('svelte/')
}),
commonjs(),
// In development mode, watch the `public` directory
// and refresh the browser on changes
!production && livereload('public'),
// In production, minify
production && terser()
],
watch: {
chokidar: false,
clearScreen: false
}
};

26
scripts/app.js

@ -1,26 +0,0 @@
'use strict';
import * as React from 'react';
import { Controls } from './controls';
import { Fractal } from './fractal';
import { sierpinski } from './ifs';
/**
* Render the app sidebar and fractal display
*/
export class App extends React.Component {
constructor(props) {
super(props);
this.state = {
};
}
render() {
return <div className="split">
<Controls />
<Fractal system={sierpinski} />
</div>;
}
}

48
scripts/chaos.js

@ -1,48 +0,0 @@
'use strict';
/**
* Choose an index at random among a list of weights,
* more weighted indices have a greater proability to be chosen
*
* @param {Array} weights List of weights
* @return {number} Selected index
*/
const chooseIndex = weights => {
const number = Math.random();
let sum = 0, index = 0;
while (number >= sum) {
sum += weights[index];
index += 1;
}
return index - 1;
};
/**
* Starting from `point`, generate `iterations` points
* by applying randomly-chosen transformations
*
* @param {Array} point Starting point
* @param {number} iterations Number of points to plot
* @param {Array} transforms List of available transforms
* @param {Array} weights Probability weights for each transform
* @return {Array} Generated points
*/
export const applyChaos = (point, iterations, transforms, weights) => {
const points = [];
if (weights === undefined) {
weights = Array.apply(null, Array(transforms.length)).map(
() => 1 / transforms.length
);
}
while (iterations--) {
const index = chooseIndex(weights);
point = transforms[index](point);
points.push(point);
}
return points;
};

34
scripts/controls.js

@ -1,34 +0,0 @@
'use strict';
import * as React from 'react';
/**
* Render app controls
*/
export class Controls extends React.Component {
constructor(props) {
super(props);
this.state = {
};
}
render() {
return <aside>
<header>
<a href="/">
<img src="images/avatar.jpg" alt="Photo de Mattéo" />
<span>Mattéo Delabre </span><br />
Back to home
</a>
</header>
<h1>The Chaos Game</h1>
<h3>Creating fractals with the chaos game</h3>
Sommets <input id="vertices" type="range" min="3" max="12" step="1" defaultValue="3" /><br />
Fraction 1/<input id="fraction" type="range" min="1" max="6" step="0.01" defaultValue="2" />
</aside>;
}
}

246
scripts/fractal.js

@ -1,246 +0,0 @@
'use strict';
import * as React from 'react';
import { applyChaos } from './chaos';
/**
* Render a canvas element that draws a fractal out of a
* given iterated function system
*/
class Fractal extends React.Component {
constructor(props) {
super(props);
this.state = {
zoom: 30,
dragging: false,
center: null,
points: null
};
}
/**
* Adjust zooming level and center so that wheeling the mouse
* on given point zooms around it
*
* @param {WheelEvent} event Mouse event
* @return {null}
*/
wheel(event) {
const zoom = this.state.zoom;
const center = this.state.center;
const height = this.ctx.canvas.height;
const delta = event.deltaMode === 0 ? event.deltaY / 53 : event.deltaY;
const newZoom = zoom * Math.max(0, 1 - delta * .035);
// which (unprojected) point does the mouse point on?
const mouse = [
(event.nativeEvent.offsetX - center[0]) / zoom,
(height - event.nativeEvent.offsetY - center[1]) / zoom
];
// we need to set the center so that `mouse` stays at
// the same position on screen, i.e (vectorially):
// mouse * newZoom + newCenter = mouse * zoom + center
// => newCenter = mouse * zoom - mouse * newZoom + center
this.setState({
zoom: newZoom,
center: [
mouse[0] * zoom - mouse[0] * newZoom + center[0],
mouse[1] * zoom - mouse[1] * newZoom + center[1]
]
}, this.draw);
event.preventDefault();
}
/**
* Save the mouse coordinates when we click down,
* for use by `mouseMove()`
*
* @param {MouseEvent} event Mouse event
* @return {null}
*/
mouseDown(event) {
this.setState({
dragging: [
event.nativeEvent.offsetX,
event.nativeEvent.offsetY
]
});
}
/**
* Save the fact that the mouse was released
*
* @return {null}
*/
mouseUp() {
this.setState({
dragging: false
});
}
/**
* When moving the mouse while clicking, pan the figure
*
* @param {MouseEvent} event Mouse event
* @return {null}
*/
mouseMove(event) {
const dragging = this.state.dragging;
const center = this.state.center;
if (dragging !== false) {
const newMouse = [
event.nativeEvent.offsetX,
event.nativeEvent.offsetY
];
const movement = [
newMouse[0] - dragging[0],
newMouse[1] - dragging[1]
];
// move the center by given offset and redraw
this.setState({
dragging: newMouse,
center: [
center[0] + movement[0],
center[1] - movement[1]
]
}, this.draw);
event.preventDefault();
}
}
/**
* Redraw `points` on the canvas, scaled with given
* `zoom` and based on current `center`
*
* @return {null}
*/
draw() {
const width = this.ctx.canvas.width;
const height = this.ctx.canvas.height;
const zoom = this.state.zoom;
const center = this.state.center;
const points = this.state.points;
// do not plot (very) small sizes
if (width < 1) {
return;
}
this.ctx.clearRect(0, 0, width, height);
// fill each point in `points` skipping the first 50 ones
const image = this.ctx.getImageData(0, 0, width, height);
const length = points.length;
const color = [0, 0, 0];
for (let i = 50; i < length; i += 1) {
const x = Math.floor(points[i][0] * zoom + center[0]);
const y = height - Math.floor(points[i][1] * zoom + center[1]);
if (x >= 0 && x < width && y >= 0 && y < height) {
const index = (y * width + x) * 4;
image.data[index] = color[0];
image.data[index + 1] = color[1];
image.data[index + 2] = color[2];
image.data[index + 3] = 255;
}
}
this.ctx.putImageData(image, 0, 0);
}
/**
* Get the container size
*
* @return {Array} Width and height of the container
*/
getSize() {
return [this.container.clientWidth, this.container.clientHeight];
}
/**
* Update the canvas size to its parent size
* and redraw
*
* @return {null}
*/
resize() {
[this.ctx.canvas.width, this.ctx.canvas.height] = this.getSize();
this.draw();
}
/**
* Calculate points with current system
*
* @return {Array} Points to be drawn
*/
calculate() {
return applyChaos(
[0, 0],
this.props.iterations,
...this.props.system
);
}
/**
* Setup resize listener and make initial drawing
* when the component has been mounted
*
* @return {null}
*/
componentDidMount() {
window.addEventListener('resize', this.resize.bind(this));
this.setState({
center: this.getSize().map(x => Math.floor(x / 2)),
points: this.calculate()
}, this.resize.bind(this));
}
/**
* Remove the resize listener before unmounting the component
*
* @return {null}
*/
componentWillUnmount() {
window.removeEventListener('resize', this.resize.bind(this));
}
/**
* Never create a new canvas
*/
shouldComponentUpdate() {
return false;
}
/**
* Create a canvas with correct listeners
*/
render() {
return <div id="content" ref={div => this.container = div}>
<canvas
ref={canvas => this.ctx = canvas.getContext('2d')}
onWheel={this.wheel.bind(this)}
onMouseDown={this.mouseDown.bind(this)}
onMouseUp={this.mouseUp.bind(this)}
onMouseMove={this.mouseMove.bind(this)}
></canvas>
</div>;
}
}
Fractal.defaultProps = {
iterations: 200000,
system: [[], []]
};
export { Fractal };

41
scripts/ifs.js

@ -1,41 +0,0 @@
'use strict';
const linearTransform = (a, b, c, d, e, f) => point => [
a * point[0] + b * point[1] + e,
c * point[0] + d * point[1] + f
];
const polygonTransforms = (vertices, frac) => vertices.map(
vertex => linearTransform(
frac, 0, 0, frac,
vertex[0] * (frac - 1), vertex[1] * (frac - 1)
)
);
const regularVertices = count => {
var step = 2 * Math.PI / count;
var initial = -Math.atan(Math.sin(step) / (Math.cos(step) - 1));
var result = [];
for (var i = 0; i < count; i += 1) {
var current = step * i + initial;
result.push([Math.cos(current) * 10, Math.sin(current) * 10]);
}
return result;
};
export const barnsley = [[
linearTransform(0, 0, 0, 0.16, 0, 0),
linearTransform(.85, .04, -.04, .85, 0, 1.6),
linearTransform(.20, -.26, .23, .22, 0, 1.6),
linearTransform(-.15, .28, .26, .24, 0, .44)
], [
.01, .85, .07, .07
]];
export const sierpinski = [
polygonTransforms(regularVertices(3), 1 / 2),
[1 / 3, 1 / 3, 1 / 3]
];

10
scripts/index.js

@ -1,10 +0,0 @@
'use strict';
import { App } from './app';
import * as React from 'react'; // eslint-disable-line no-unused-vars
import { render } from 'react-dom';
render(
<App />,
document.querySelector('#react')
);

224
src/App.svelte

@ -0,0 +1,224 @@
<script>
import { onMount } from 'svelte';
import { writable, derived } from 'svelte/store';
import { Matrix } from 'ml-matrix';
import Chaos from './Chaos.svelte';
import Point from './Point.svelte';
// Page dimensions
let pageWidth;
let pageHeight;
// Controls dimensions
const controlsWidth = 200;
// Render dimensions
$: renderWidth = pageWidth - controlsWidth;
$: renderHeight = pageHeight;
// Number of points
let count = 3;
// Whether controls are shown
let controls = true;
// Fraction
const ratios = writable([]);
// Bounding points of the fractal
const points = writable([]);
// Center of the fractal
const center = derived(points, ($points, set) =>
{
set(Matrix.div(
$points.reduce(
(prev, point) => Matrix.add(prev, point),
Matrix.zeros(3, 1)
),
$points.length
));
});
// Derived IFS
const ifs = derived([ratios, points], ([$ratios, $points], set) =>
{
set($points.map((point, index) => [
1,
new Matrix([
[$ratios[index], 0, point.get(0, 0) * (1 - $ratios[index])],
[0, $ratios[index], point.get(1, 0) * (1 - $ratios[index])],
[0, 0, 1]
])
]))
});
const myifs = [
[1, new Matrix([
[0, 0, 0],
[0, 0.16, 0],
[0, 0, 1]
])],
[85, new Matrix([
[0.85, 0.04, 0],
[-0.04, 0.85, 160],
[0, 0, 1]
])],
[7, new Matrix([
[0.20, -0.26, 0],
[0.23, 0.22, 160],
[0, 0, 1]
])],
[7, new Matrix([
[-0.15, 0.28, 0],
[0.26, 0.24, 44],
[0, 0, 1]
])]
];
for (let f of myifs)
{
/* f[1] = new Matrix([ */
/* [1, 0, 100], */
/* [0, 1, 100], */
/* [0, 0, 1] */
/* ]).mmul(f[1]); */
}
console.log(myifs);
$: {
// Generate a regular polygon with the given number of vertices
// and half ratio for each vertex
const pageCenter = [renderWidth / 2, renderHeight / 2];
const radius = Math.min(renderWidth, renderHeight) * 0.4;
points.set(
Array.from({length: count}).map(
(_, index) => index * 2 * Math.PI / count - Math.PI / 2
).map(angle => Matrix.columnVector([
pageCenter[0] + Math.cos(angle) * radius,
pageCenter[1] + Math.sin(angle) * radius,
1
]))
);
ratios.set(
Array.from({length: count}).fill(0.5)
);
}
</script>
<style>
.app
{
display: flex;
width: 100%;
height: 100%;
}
.controls
{
flex: 1;
}
.render
{
flex: 1;
position: relative;
}
.render .overlay
{
position: absolute;
top: 0;
left: 0;
}
</style>
<div class="app" bind:clientWidth={pageWidth} bind:clientHeight={pageHeight}>
<aside class="controls" style="width: {controlsWidth}px">
<p>
<button on:click={() => ++count}>Add point</button>
<button on:click={() => --count}>Remove point</button>
</p>
<p>
{#if controls}
Controls visible.
<button on:click={() => controls = false}>Hide</button>
{:else}
Controls hidden.
<button on:click={() => controls = true}>Show</button>
{/if}
</p>
</aside>
<main class="render" style="width: {renderWidth}px">
<Chaos
width={renderWidth} height={renderHeight}
start={$center} ifs={$ifs}
/>
{#if controls}
<svg
class="overlay"
width={renderWidth} height={renderHeight}
viewBox="0 0 {renderWidth} {renderHeight}"
>
{#each $points as point}
<line
stroke="#333"
x1={$center.get(0, 0)}
y1={$center.get(1, 0)}
x2={point.get(0, 0)}
y2={point.get(1, 0)}
/>
{/each}
</svg>
{#each $points as point, index}
<Point
x={point.get(0, 0)}
y={point.get(1, 0)}
on:move={evt => points.set([
...$points.slice(0, index),
Matrix.columnVector([evt.detail.x, evt.detail.y, 1]),
...$points.slice(index + 1)
])}
/>
{/each}
{#each $ifs as current, index}
<Point
x={current[1].mmul($center).get(0, 0)}
y={current[1].mmul($center).get(1, 0)}
on:move={evt => {
const point = Matrix.columnVector([evt.detail.x, evt.detail.y, 1]);
const vec1 = Matrix.sub($points[index], $center);
const vec2 = Matrix.sub(point, $center);
const nextRatio = 1 - vec1.dot(vec2) / vec1.dot(vec1);
if (evt.detail.shift)
{
ratios.set(
Array.from({length: $ratios.length}).fill(nextRatio)
);
}
else
{
ratios.set([
...$ratios.slice(0, index),
nextRatio,
...$ratios.slice(index + 1)
]);
}
}}
/>
{/each}
{/if}
</main>
</div>

147
src/Chaos.svelte

@ -0,0 +1,147 @@
<!--
Simulate a chaos game on an iterated function set (IFS)
and plot the result on a canvas of given dimensions.
-->
<script>
import { onMount, onDestroy, tick, afterUpdate } from 'svelte';
import { Matrix } from 'ml-matrix';
import { choose } from './util.js';
/** Width of the canvas on which the chaos figure is rendered. */
export let width = 500;
/** Height of the canvas on which the chaos figure is rendered. */
export let height = 500;
/** Total number of iterations to perform. */
export let totalIterations = 100000;
/** Number of iterations to perform in one frame. */
export let iterationsPerFrame = 1000;
/**
* Iterated function set to use for rendering the figure as a list of
* pairs, each containing the weight of the function and the function
* as a 3×3 matrix.
*/
export let ifs = [[1, Matrix.identity(3)]];
/** Initial point for the iteration, in homogeneous coordinates. */
export let start = Matrix.columnVector([0, 0, 1]);
// Canvas and drawing context on which the figure is rendered
let canvas;
let ctx;
// Handle to the next scheduled frame
let nextFrame = null;
/**
* Perform random chaos iteration on the given point, leaving traces
* behind as the iteration goes.
*
* @param point Starting point for the iteration.
* @param ifs Iterated function set to use.
* @param iterations Number of iterations to perform.
*/
const randomIterate = (point, ifs, iterations) =>
{
// Only perform a limited amount of iterations and
// defer the remaining ones to the next frame
for (let i = 0; i < iterationsPerFrame; ++i)
{
const [_, matrix] = choose(ifs);
point = matrix.mmul(point);
const x = Math.floor(point.get(0, 0));
const y = Math.floor(point.get(1, 0));
if (x >= 0 && x < width && y >= 0 && y < height)
{
ctx.fillRect(x, y, 1, 1);
}
}
if (iterations > iterationsPerFrame)
{
nextFrame = window.requestAnimationFrame(() => randomIterate(
point, ifs,
iterations - iterationsPerFrame
));
}
};
/**
* Perform deterministic chaos iteration on each of the given points,
* leaving traces behind as the iteration goes.
*
* @param points Seed points, modified in-place.
* @param index Index from which to iterate in the points array.
* @param ifs Iterated function set to use.
* @param iterations Number of iterations to perform.
*/
const deterministicIterate = (points, index, ifs, iterations) =>
{
let i = index;
for (
let frameIterations = 0;
frameIterations < iterationsPerFrame;
frameIterations += ifs.length,
i = (i + ifs.length) % points.length
)
{
points.splice(
i, 1,
...ifs.map(([_, matrix]) =>
{
const nextPoint = matrix.mmul(points[i]);
const x = Math.floor(nextPoint.get(0, 0));
const y = Math.floor(nextPoint.get(1, 0));
if (x >= 0 && x < width && y >= 0 && y < height)
{
ctx.fillRect(x, y, 1, 1);
}
return nextPoint;
})
);
}
if (iterations > iterationsPerFrame)
{
nextFrame = window.requestAnimationFrame(() => deterministicIterate(
points, i, ifs,
iterations - iterationsPerFrame
));
}
};
/** Interrupt the iteration process. */
const stopLoop = () =>
{
window.cancelAnimationFrame(nextFrame);
};
$: {
stopLoop();
if (ctx && ifs.length)
{
ctx.clearRect(0, 0, width, height);
ctx.fillStyle = 'black';
deterministicIterate([start], 0, ifs, totalIterations);
}
}
onMount(() => ctx = canvas.getContext('2d'));
onDestroy(() => stopLoop());
</script>
<canvas
bind:this={canvas}
draggable=false
width={width} height={height}
/>

119
src/Point.svelte

@ -0,0 +1,119 @@
<!--
Represent a point on the screen that can optionally be moved by the user.
-->
<script>
import { onMount, onDestroy, createEventDispatcher } from 'svelte';
/** Horizontal position of the point. */
export let x = 0;
/** Vertical position of the point. */
export let y = 0;
/** Radius of the circle that represents the point. */
export let size = 15;
/** Whether the user is allowed to move the point. */
export let movable = true;
// Reference to the <div> element that represents the point
let element = null;
// Bounds of the parent node, computed only once when the user
// starts dragging
let bounds;
// Whether the user is currently dragging the point
let dragging = false;
let dispatch = createEventDispatcher();
const start = evt =>
{
if (!movable) return;
bounds = element.parentNode.getBoundingClientRect();
dragging = true;
window.addEventListener('mousemove', move);
window.addEventListener('touchmove', move);
window.addEventListener('mouseup', end);
window.addEventListener('touchend', end);
};
const clamp = (value, min, max) => Math.max(min, Math.min(max, value));
const move = evt =>
{
const [userX, userY] = evt.changedTouches
? [evt.changedTouches[0].clientX, evt.changedTouches[0].clientY]
: [evt.clientX, evt.clientY];
dispatch('move', {
x: clamp(userX - bounds.left, 0, bounds.width),
y: clamp(userY - bounds.top, 0, bounds.height),
shift: evt.shiftKey
});
};
const end = evt =>
{
dragging = false;
window.removeEventListener('mousemove', move);
window.removeEventListener('touchmove', move);
window.removeEventListener('mouseup', end);
window.removeEventListener('touchend', end);
};
onMount(() =>
{
element.addEventListener('mousedown', start);
element.addEventListener('touchstart', start);
});
onDestroy(() =>
{
element.removeEventListener('mousedown', start);
element.removeEventListener('touchstart', start);
window.removeEventListener('mousemove', move);
window.removeEventListener('touchmove', move);
window.removeEventListener('mouseup', end);
window.removeEventListener('touchend', end);
});
</script>
<style>
div
{
display: block;
position: absolute;
border-radius: 100%;
background: #333;
box-shadow: 0 2px 2px rgba(0, 0, 0, 0.1);
transition:
box-shadow .15s var(--easing),
transform .15s var(--easing),
opacity .15s var(--easing);
}
div.movable
{
cursor: pointer;
}
div.movable.dragging
{
box-shadow: 0 5px 5px rgba(0, 0, 0, 0.2);
transform: scale(1.5);
}
</style>
<div
style="width: {size}px; height: {size}px; left: {x - size / 2}px; top: {y - size / 2}px;"
class:dragging
class:movable
draggable="false"
bind:this={element}
/>

4
src/main.js

@ -0,0 +1,4 @@
import App from './App.svelte';
const app = new App({target: document.body});
export default app;

27
src/util.js

@ -0,0 +1,27 @@
/**
* Choose a pair at random among a list of weighted pairs.
*
* @param pairs List of weighted pairs, with the weight coming first.
* @return Selected pair, or null if there is nothing to choose from.
*/
export const choose = pairs =>
{
const total = pairs.reduce((prev, [weight, _]) => prev + weight, 0);
if (total === 0)
{
return null;
}
const value = Math.random() * total;
let sum = 0;
let index = 0;
while (value >= sum)
{
sum += pairs[index][0];
index += 1;
}
return pairs[index - 1];
};

11
styles/index.css

@ -1,11 +0,0 @@
/**
* Styles for chaos game
*/
#react {
height: 100%;
}
#content {
overflow: hidden;
}
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