├── CNAME ├── public ├── CNAME ├── images │ ├── doge.jpg │ ├── loli.jpg │ ├── rick.jpg │ └── icons │ │ ├── favicon.ico │ │ ├── og-image.jpg │ │ ├── ipad_splash.png │ │ ├── splash_src.png │ │ ├── favicon-16x16.png │ │ ├── favicon-32x32.png │ │ ├── iphone5_splash.png │ │ ├── iphone6_splash.png │ │ ├── iphonex_splash.png │ │ ├── mstile-150x150.png │ │ ├── apple-touch-icon.png │ │ ├── ipadpro1_splash.png │ │ ├── ipadpro2_splash.png │ │ ├── ipadpro3_splash.png │ │ ├── iphoneplus_splash.png │ │ ├── iphonexr_splash.png │ │ ├── iphonexsmax_splash.png │ │ ├── android-chrome-192x192.png │ │ ├── android-chrome-512x512.png │ │ └── browserconfig.xml ├── manifest.json ├── sw.js └── index.html ├── .gitignore ├── src ├── app.js ├── App.svelte ├── Popup.svelte ├── Header.svelte ├── old-src │ ├── shaders.js │ ├── render.js │ └── events.js └── Viewer.svelte ├── manifest.json ├── package.json ├── rollup.config.js ├── sw.js ├── README.md ├── index.html └── LICENSE /CNAME: 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-------------------------------------------------------------------------------- 1 | 2 | 3 | 4 | 5 | 6 | #da532c 7 | 8 | 9 | 10 | -------------------------------------------------------------------------------- /src/App.svelte: -------------------------------------------------------------------------------- 1 | 6 | 7 |
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9 | 10 | 11 |
12 | 13 | 25 | -------------------------------------------------------------------------------- /public/manifest.json: -------------------------------------------------------------------------------- 1 | { 2 | "name": "DeepMandelbrot", 3 | "short_name": "DeepMandel", 4 | "start_url": "/", 5 | "display": "standalone", 6 | "icons": [ 7 | { 8 | "src": "/images/icons/android-chrome-192x192.png", 9 | "sizes": "192x192", 10 | "type": "image/png" 11 | }, 12 | { 13 | "src": "/images/icons/android-chrome-512x512.png", 14 | "sizes": "512x512", 15 | "type": "image/png" 16 | } 17 | ], 18 | "theme_color": "#0a0a0a", 19 | "background_color": "#0a0a0a" 20 | } 21 | -------------------------------------------------------------------------------- /manifest.json: -------------------------------------------------------------------------------- 1 | { 2 | "name": "DeepMandelbrot", 3 | "short_name": "DeepMandel", 4 | "start_url": "/public/", 5 | "display": "standalone", 6 | "icons": [ 7 | { 8 | "src": "/public/images/icons/android-chrome-192x192.png", 9 | "sizes": "192x192", 10 | "type": "image/png" 11 | }, 12 | { 13 | "src": "/punliv/images/icons/android-chrome-512x512.png", 14 | "sizes": "512x512", 15 | "type": "image/png" 16 | } 17 | ], 18 | "theme_color": "#0a0a0a", 19 | "background_color": "#0a0a0a" 20 | } 21 | -------------------------------------------------------------------------------- /src/Popup.svelte: -------------------------------------------------------------------------------- 1 | -------------------------------------------------------------------------------- /package.json: -------------------------------------------------------------------------------- 1 | { 2 | "name": "deep-mandelbrot", 3 | "private": true, 4 | "scripts": { 5 | "build": "rollup -c", 6 | "dev": "rollup -cw", 7 | "start": "sirv public --host", 8 | "start-old": "sirv . --host", 9 | "deploy": "npm run build && cp CNAME public && gh-pages -d public" 10 | }, 11 | "dependencies": { 12 | "sirv-cli": "^0.4.4" 13 | }, 14 | "devDependencies": { 15 | "@rollup/plugin-commonjs": "11.0.2", 16 | "@rollup/plugin-node-resolve": "^7.0.0", 17 | "gh-pages": "^3.1.0", 18 | "jampary": "0.0.2", 19 | "rollup": "^1.20.0", 20 | "rollup-plugin-livereload": "^1.0.0", 21 | "rollup-plugin-svelte": "^5.0.3", 22 | "rollup-plugin-terser": "^7.0.1", 23 | "svelte": "^3.0.0", 24 | "twgl.js": "^4.17.0" 25 | } 26 | } 27 | -------------------------------------------------------------------------------- /rollup.config.js: -------------------------------------------------------------------------------- 1 | import svelte from 'rollup-plugin-svelte'; 2 | import resolve from '@rollup/plugin-node-resolve'; 3 | import commonjs from '@rollup/plugin-commonjs'; 4 | import livereload from 'rollup-plugin-livereload'; 5 | import { terser } from 'rollup-plugin-terser'; 6 | 7 | const production = !process.env.ROLLUP_WATCH; 8 | 9 | export default { 10 | input: 'src/app.js', 11 | output: { 12 | sourcemap: true, 13 | format: 'iife', 14 | name: 'app', 15 | file: 'public/build/bundle.js' 16 | }, 17 | plugins: [ 18 | svelte({ 19 | // enable run-time checks when not in production 20 | dev: !production, 21 | // we'll extract any component CSS out into 22 | // a separate file - better for performance 23 | css: css => { 24 | css.write('public/build/bundle.css'); 25 | } 26 | }), 27 | 28 | // If you have external dependencies installed from 29 | // npm, you'll most likely need these plugins. In 30 | // some cases you'll need additional configuration - 31 | // consult the documentation for details: 32 | // https://github.com/rollup/plugins/tree/master/packages/commonjs 33 | resolve({ 34 | browser: true, 35 | dedupe: ['svelte'] 36 | }), 37 | commonjs(), 38 | 39 | // In dev mode, call `npm run start` once 40 | // the bundle has been generated 41 | !production && serve(), 42 | 43 | // Watch the `public` directory and refresh the 44 | // browser on changes when not in production 45 | !production && livereload('public'), 46 | 47 | // If we're building for production (npm run build 48 | // instead of npm run dev), minify 49 | production && terser() 50 | ], 51 | watch: { 52 | clearScreen: false 53 | } 54 | }; 55 | 56 | function serve() { 57 | let started = false; 58 | 59 | return { 60 | writeBundle() { 61 | if (!started) { 62 | started = true; 63 | 64 | require('child_process').spawn('npm', ['run', 'start', '--', '--dev'], { 65 | stdio: ['ignore', 'inherit', 'inherit'], 66 | shell: true 67 | }); 68 | } 69 | } 70 | }; 71 | } 72 | -------------------------------------------------------------------------------- /sw.js: -------------------------------------------------------------------------------- 1 | //Stale-while-revalidate strategy 2 | 3 | // Fill here with your cache name-version. 4 | const CACHE_NAME = 'deepfractal-0.0.1' 5 | 6 | // This is the list of URLs to be cached by your Progressive Web App URLs. 7 | const CACHED_URLS = [ 8 | '/', 9 | '/index.html', 10 | '/manifest.json', 11 | '/src/old-src/events.js', 12 | '/src/old-src/render.js', 13 | '/src/old-src/shaders.js', 14 | '/public/images/icons/android-chrome-192x192.png', 15 | '/public/images/icons/android-chrome-512x512.png', 16 | '/public/images/doge.jpg', 17 | '/public/images/loli.jpg', 18 | '/public/images/rick.jpg', 19 | ] 20 | 21 | let cache = null 22 | 23 | // Open cache on install. 24 | self.addEventListener('install', event => { 25 | event.waitUntil( 26 | caches.open(CACHE_NAME) 27 | .then(currentCache => { 28 | // Store a reference to current cache, to be used on fetch event handler. 29 | cache = currentCache 30 | cache.addAll(CACHED_URLS) 31 | }) 32 | .then(self.skipWaiting()) 33 | ) 34 | }) 35 | 36 | // Handle fetch event with snippet stolen from here: https://www.youtube.com/watch?v=TtXvE814SQA 37 | self.addEventListener('fetch', event => { 38 | const request = event.request 39 | 40 | const networkResponsePromise = fetch(request).catch(ignore => {}) 41 | const cachedResponsePromise = caches.match(request) 42 | 43 | event.respondWith(async function () { 44 | const cacheResponse = await cachedResponsePromise 45 | if (cacheResponse) return cacheResponse 46 | 47 | const networkResponse = await networkResponsePromise 48 | if (networkResponse) return networkResponse.clone() 49 | 50 | throw new Error(`Neither network nor cache had a response for ${request.url}`) 51 | }()) 52 | 53 | event.waitUntil(async function () { 54 | const networkResponse = await networkResponsePromise 55 | 56 | if (networkResponse) cache.put(request, networkResponse.clone()) 57 | }()) 58 | }) 59 | 60 | // Clean up caches other than current. 61 | self.addEventListener('activate', event => { 62 | event.waitUntil( 63 | caches.keys().then(cacheNames => { 64 | return Promise.all( 65 | cacheNames.filter(cacheName => { 66 | const deleteThisCache = cacheName !== CACHE_NAME 67 | 68 | return deleteThisCache 69 | }).map(cacheName => caches.delete(cacheName)) 70 | ) 71 | }) 72 | ) 73 | }) -------------------------------------------------------------------------------- /public/sw.js: -------------------------------------------------------------------------------- 1 | //Stale-while-revalidate strategy 2 | 3 | // Fill here with your cache name-version. 4 | const CACHE_NAME = 'deepmandel-0.0.4' 5 | 6 | // This is the list of URLs to be cached by your Progressive Web App URLs. 7 | const CACHED_URLS = [ 8 | '/', 9 | // '/build/bundle.css', 10 | // '/build/bundle.js', 11 | // '/images/icons/android-chrome-192x192.png', 12 | // '/images/icons/android-chrome-512x512.png', 13 | // '/images/doge.jpg', 14 | // '/images/loli.jpg', 15 | // '/images/rick.jpg', 16 | // '/index.html', 17 | // '/manifest.json', 18 | // 'https://cdnjs.cloudflare.com/ajax/libs/bulma/0.7.2/css/bulma.min.css', 19 | ] 20 | 21 | let cache = null 22 | 23 | // Open cache on install. 24 | self.addEventListener('install', event => { 25 | event.waitUntil( 26 | caches.open(CACHE_NAME) 27 | .then(currentCache => { 28 | // Store a reference to current cache, to be used on fetch event handler. 29 | cache = currentCache 30 | cache.addAll(CACHED_URLS) 31 | }) 32 | .then(self.skipWaiting()) 33 | ) 34 | }) 35 | 36 | // Handle fetch event with snippet from here: https://www.youtube.com/watch?v=TtXvE814SQA 37 | self.addEventListener('fetch', event => { 38 | const request = event.request 39 | 40 | const networkResponsePromise = fetch(request).catch(ignore => {}) 41 | const cachedResponsePromise = caches.match(request) 42 | 43 | event.respondWith(async function () { 44 | const cacheResponse = await cachedResponsePromise 45 | if (cacheResponse) return cacheResponse 46 | 47 | const networkResponse = await networkResponsePromise 48 | if (networkResponse) return networkResponse.clone() 49 | 50 | throw new Error(`Neither network nor cache had a response for ${request.url}`) 51 | }()) 52 | 53 | event.waitUntil(async function () { 54 | const networkResponse = await networkResponsePromise 55 | 56 | if (networkResponse) cache.put(request, networkResponse.clone()) 57 | }()) 58 | }) 59 | 60 | // Clean up caches other than current. 61 | self.addEventListener('activate', event => { 62 | event.waitUntil( 63 | caches.keys().then(cacheNames => { 64 | return Promise.all( 65 | cacheNames.filter(cacheName => { 66 | const deleteThisCache = cacheName !== CACHE_NAME 67 | 68 | return deleteThisCache 69 | }).map(cacheName => caches.delete(cacheName)) 70 | ) 71 | }) 72 | ) 73 | }) -------------------------------------------------------------------------------- /README.md: -------------------------------------------------------------------------------- 1 | # DeepMandelbrot 2 | 3 | Deep mandelbrot explorer. Site: https://deep-mandelbrot.js.org/ 4 | 5 | ### 2do 6 | - [X] Ping-pong rendering for deeper zoom 7 | - [X] Logarithmic search for reference point 8 | - [X] New arbitrary precision library - [Jampary](https://github.com/munrocket/jampary) 9 | - [ ] Infinite zoom 10 | - [ ] New search for reference point, progressive render 11 | - [ ] UI/UX (events, router, save picture) 12 | 13 | ### Features 14 | 15 | - [X] Deep zoom (beta version 10^-31, 1024 iteration) 16 | - [X] Webgl parallel processing 17 | - [X] Perturbation theory 18 | - [X] Adaptive super-sampling 19 | - [X] Progressive web application 20 | - [X] Julia set and orbits with Ctrl key 21 | 22 | ### References 23 | 24 | 1. Bruce Dawson. *Faster Fractals Through Algebra*. [[url](https://randomascii.wordpress.com/2011/08/13/faster-fractals-through-algebra/)] 25 | 2. Jussi Harkonen. *On Smooth Fractal Coloring Techniques*. [[pdf](http://jussiharkonen.com/files/on_fractal_coloring_techniques(lo-res).pdf)] 26 | 3. Javier Barrallo, Damien Jones. *Coloring algorithms for dynamical systems in the complex plane*. [[pdf](http://math.unipa.it/~grim/Jbarrallo.PDF)] 27 | 4. K.I. Martin. *Superfractalthing math.* [[pdf](http://www.superfractalthing.co.nf/sft_maths.pdf)] 28 | 5. Robert Munafo. *Speed Improvements* [[url](https://mrob.com/pub/muency/speedimprovements.html)] 29 | 6. Claude Heiland-Allen. *Adaptive super-sampling using distance estimate.* [[url](http://mathr.co.uk/blog/2014-11-22_adaptive_supersampling_using_distance_estimate.html)] 30 | 7. Arnaud Cheritat. *Mandelbrot set* [[url](https://www.math.univ-toulouse.fr/~cheritat/wiki-draw/index.php/Mandelbrot_set)] 31 | 8. Heinz-Otto Peitgen, Dietmar Saupe, Benoit Mandelbrot etc. *The Science of Fractal Images.* Appendix D. 32 | 33 | [//]: # "*Numerical Methods for Finding Periodic Orbits* [[url](http://www.scholarpedia.org/article/Periodic_orbit#Numerical_Methods_for_Finding_Periodic_Orbits)]" 34 | [//]: # "*Practical interior distance rendering* http://mathr.co.uk/blog/2014-11-02_practical_interior_distance_rendering.html" 35 | [//]: # "https://mathr.co.uk/mandelbrot/book-draft-2017-11-10.pdf" 36 | [//]: # "http://roy.red/fractal-droste-images-.html#fractal-droste-images" 37 | [//]: # "http://ibiblio.org/e-notes/MSet/ru/cont_r.htm" 38 | [//]: # " Posible coloring: gaussian integer distance 39 | Intresting modifications: 40 | drop: z -> z^2 + 1/c 41 | eye: z -> z^3 + 1/c 42 | circle: z -> z^2 + 1/c - 1 43 | stripe: z -> z^2 + 1/(conj(c) - 0.5) - 3/4 44 | mandelpinski: julia z -> z^4 - 0.1/z^4" 45 | -------------------------------------------------------------------------------- /src/Header.svelte: -------------------------------------------------------------------------------- 1 |
2 | 58 |
59 | 60 | -------------------------------------------------------------------------------- /public/index.html: -------------------------------------------------------------------------------- 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | DeepMandelbrot 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | 24 | 25 | 26 | 27 | 28 | 29 | 30 | 31 | 32 | 33 | 34 | 35 | 36 | 37 | 38 | 39 | 40 | 41 | 42 | 43 | 44 | 45 | 46 | 47 | 48 | 49 | 50 | 51 | 52 | 53 | 54 | 55 | 56 | 61 | 62 | 63 | 70 | 71 | 72 | 79 | 80 | 81 | 82 | -------------------------------------------------------------------------------- /src/old-src/shaders.js: -------------------------------------------------------------------------------- 1 | 'use strict'; 2 | 3 | let vert = ` 4 | precision highp float; 5 | 6 | attribute vec2 a_position; 7 | uniform vec2 rotator; 8 | uniform vec2 center; 9 | uniform vec2 size; 10 | varying vec2 delta; 11 | 12 | void main() { 13 | 14 | /* window coordinates with new origin in complex space */ 15 | vec2 z = size * a_position; 16 | delta = center + vec2(z.x * rotator.y - z.y * rotator.x, dot(z, rotator)); 17 | 18 | gl_Position = vec4(a_position, 0.0, 1.0); 19 | }`; 20 | 21 | let frag = (isJulia) => ` 22 | precision highp float; 23 | 24 | #define imax ${imax} 25 | #define square_radius ${squareRadius}. 26 | #define super_sampling ${superSampling} 27 | #define color_scheme ${colorScheme} 28 | #define is_julia ${isJulia} 29 | const float logLogRR = log2(log2(square_radius)); 30 | 31 | varying vec2 delta; 32 | varying vec2 texcoord; 33 | 34 | uniform vec2 rotator; 35 | uniform vec2 size; 36 | uniform vec2 pixelsize; 37 | uniform float texsize; 38 | uniform sampler2D orbittex; 39 | uniform sampler2D exteriortex; 40 | 41 | vec4 unpackOrbit(int i) { 42 | float fi = float(i); 43 | vec2 texcoord = vec2(mod(fi, texsize), floor(fi / texsize)) / texsize; 44 | return texture2D(orbittex, texcoord); 45 | } 46 | 47 | float interpolate(float s, float s1, float s2, float s3, float d) { 48 | float d2 = d * d, d3 = d * d2; 49 | return 0.5 * (s * (d3 - d2) + s1 * (d + 4.*d2 - 3.*d3) + s2 * (2. - 5.*d2 + 3.*d3) + s3 * (-d + 2.*d2 - d3)); 50 | } 51 | 52 | struct result { 53 | float time; 54 | float zz; 55 | float dzdz; 56 | float stripe; 57 | float argZ; 58 | }; 59 | 60 | /* fractal calculator with perturbation theory for mandelbrot & julia set */ 61 | result calculator(vec2 AA) { 62 | float u = delta.x + AA.x, v = delta.y + AA.y; 63 | float zz, time, temp, du = 0., dv = 0.; 64 | float stripe, s1, s2, s3; 65 | vec2 z, dz, O, dO; 66 | 67 | for (int i = 0; i < imax; i++) { 68 | /* Recall global coordinates: Z = O + W, Z' = O' + W' */ 69 | vec4 values = unpackOrbit(i); 70 | O = values.xy; 71 | dO = values.zw; 72 | z = O + vec2(u, v); 73 | dz = dO + vec2(du, dv); 74 | zz = dot(z, z); 75 | 76 | /* Calc derivative: dW'(u,v) -> 2 * (O' * W + Z * W') */ 77 | temp = 2. * (dO.x * u - dO.y * v + z.x * du - z.y * dv); 78 | dv = 2. * (dO.x * v + dO.y * u + z.x * dv + z.y * du); 79 | du = temp; 80 | 81 | /* Next step in the iterative process: W(u,v) -> W^2 + 2 * O * W + */ 82 | temp = u * u - v * v + 2. * (u * O.x - v * O.y); 83 | v = u * v + u * v + 2. * (v * O.x + u * O.y); 84 | u = temp; 85 | #if (!is_julia) 86 | u += delta.x; 87 | v += delta.y; 88 | #endif 89 | 90 | /* Stripe average, a color algo based on statistcs */ 91 | #if (color_scheme == 0) 92 | stripe += z.x * z.y / zz * step(0.0, time); 93 | s3 = s2; s2 = s1; s1 = stripe; 94 | #endif 95 | 96 | /* Loop in webgl1 */ 97 | time += 1.; 98 | if (zz > square_radius) { break; } 99 | } 100 | 101 | time += clamp(1.0 + logLogRR - log2(log2(zz)), 0., 1.); 102 | #if (color_scheme == 0) 103 | stripe = interpolate(stripe, s1, s2, s3, fract(time)); 104 | #endif 105 | return result(time, zz, dot(dz,dz), stripe, atan(z.y, z.x)); 106 | } 107 | 108 | void main() { 109 | /* Get result */ 110 | result R = calculator(vec2(0)); 111 | 112 | /* DEM (Distance Estimation) = 2 * |Z / Z'| * ln(|Z|) */ 113 | float dem = sqrt(R.zz / R.dzdz) * log2(R.zz); 114 | float dem_weight = 800. / min(size.x, size.y); 115 | 116 | /* Adaptive supersampling with additional 4 points in SSAAx4 pattern */ 117 | #if (super_sampling == 1 && color_scheme != 1) 118 | if (-log2(dem * dem_weight) > 0.5) { 119 | R.time /= 5.; 120 | R.zz /= 5.; 121 | R.dzdz /= 5.; 122 | R.stripe /= 5.; 123 | for (int i = 0; i < 4; i++) { 124 | vec2 offset = pixelsize * vec2(vec4(-1., 3., 3., 1.)[i], vec4(-3., -1., 1., 3.)[i]) / 4.; 125 | offset = vec2(offset.x * rotator.y - offset.y * rotator.x, dot(offset, rotator)); 126 | result RI = calculator(offset); 127 | R.time += RI.time / 5.; 128 | R.zz += RI.zz / 5.; 129 | R.dzdz += RI.dzdz / 5.; 130 | R.stripe += RI.stripe / 5.; 131 | } 132 | } 133 | #endif 134 | 135 | /* Final coloring */ 136 | vec3 color; 137 | #if (color_scheme == 0) 138 | color += 0.7 + 2.5 * (R.stripe / clamp(R.time, 0., 200.)) * (1. - 0.6 * step(float(imax), 1. + R.time)); 139 | color = 0.5 + 0.5 * sin(color + vec3(4.0, 4.6, 5.2) + 50.0 * R.time / float(imax)); 140 | #else 141 | vec2 texcoord = vec2(R.argZ / 2. / 3.14159265, log2(R.zz) / log2(square_radius) - 1.0); 142 | color = texture2D(exteriortex, texcoord).xyz; 143 | #endif 144 | 145 | gl_FragColor = vec4(color, 1.); 146 | }`; -------------------------------------------------------------------------------- /src/Viewer.svelte: -------------------------------------------------------------------------------- 1 | 133 | 134 | 135 | 136 | -------------------------------------------------------------------------------- /src/old-src/render.js: -------------------------------------------------------------------------------- 1 | 'use strict'; 2 | 3 | /** 4 | * Monkey state managment 5 | */ 6 | let imax = 1024; 7 | let squareRadius = 3e5; 8 | let colorScheme = 0; 9 | let superSampling = 0; 10 | let aim = { x: new Double(-0.75), y: new Double(0), hx: new Double(1.25), hy: new Double(1.15), phi: 0 }; 11 | let programGetter = (() => { 12 | let savedGl = null, savedVert = null, savedFrag = null, savedProgramInfo = null; 13 | return (gl, vert, frag, julia) => { 14 | julia = julia ? 1 : 0; 15 | if (gl != savedGl || vert != savedVert || savedFrag != frag(julia)) { 16 | savedGl = gl; savedVert = vert; savedFrag = frag(julia); 17 | savedProgramInfo = twgl.createProgramInfo(savedGl, [vert, savedFrag]); 18 | } 19 | return savedProgramInfo; 20 | } 21 | })(); 22 | 23 | /* Initialization */ 24 | let glMandel = twgl.getWebGLContext(document.getElementById('glmandel'), { antialias: false, depth: false }); 25 | twgl.addExtensionsToContext(glMandel); 26 | const glJulia = twgl.getWebGLContext(document.getElementById('gljulia'), { antialias: false, depth: false }); 27 | twgl.addExtensionsToContext(glJulia); 28 | if (!glMandel || !glJulia ) { 29 | Events.showError('This viewer requires WebGL', 'WebGL is turned off or not supported by this device.'); 30 | }; 31 | const dogetex = twgl.createTexture(glMandel, { src: 'public/images/doge.jpg', minMag: glMandel.NEAREST }); 32 | const lolitex = twgl.createTexture(glMandel, { src: 'public/images/loli.jpg', minMag: glMandel.NEAREST }); 33 | const ricktex = twgl.createTexture(glMandel, { src: 'public/images/rick.jpg', minMag: glMandel.NEAREST }); 34 | let exteriortex = dogetex; 35 | 36 | /** 37 | * Calculating orbit for one point in Mandelbrot/Julia fractal. 38 | * For Mandelbrot c0=undefined, for julia set c0 it is initial c. 39 | * If you want only iteration count, you need to pass returnIteration = true 40 | */ 41 | function calcOrbit(c, c0, returnIteration) { 42 | let x = c0 ? c0.x : c.x, y = c0 ? c0.y : c.y; 43 | let xx = x.sqr(), yy = y.sqr(), xy = x.mul(y); 44 | let dx = Double.One, dy = Double.Zero, temp; 45 | let i, orbit = [x.toNumber(), y.toNumber(), dx.toNumber(), dy.toNumber()] 46 | for (i = 1; i < imax && xx.add(yy).lt(squareRadius); i++) { 47 | temp = x.mul(dx).sub(y.mul(dy)).mul(2).add(1); 48 | dy = x.mul(dy).add(y.mul(dx)).mul(2); 49 | dx = temp; 50 | x = xx.sub(yy).add(c.x); 51 | y = xy.add(xy).add(c.y); 52 | xx = x.sqr(); yy = y.sqr(); xy = x.mul(y); 53 | if (!returnIteration) { 54 | orbit.push(x.toNumber()); 55 | orbit.push(y.toNumber()); 56 | orbit.push(dx.toNumber()); 57 | orbit.push(dy.toNumber()); 58 | } 59 | } 60 | return returnIteration ? i : orbit; 61 | } 62 | 63 | /** 64 | * Logarithmic search of new reference point. 65 | */ 66 | function searchOrigin(aim, julia) { 67 | let repeat = 15, n = 12, m = 3; 68 | let z = {}, zbest = {}, newAim = Object.assign({}, aim), f, fbest = -Infinity; 69 | for (let k = 0; k < repeat; k++) { 70 | for (let i = 0; i <= n; i++) { 71 | for (let j = 0; j <= n; j++) { 72 | z.x = newAim.x.add(newAim.hx.mul(2 * i / n - 1)); 73 | z.y = newAim.y.add(newAim.hy.mul(2 * j / n - 1)); 74 | f = (julia) ? calcOrbit(julia, z, true) : calcOrbit(z, null, true) 75 | if (f == imax) { 76 | return z; 77 | } else if (f > fbest) { 78 | Object.assign(zbest, z); 79 | fbest = f; 80 | } 81 | } 82 | } 83 | Object.assign(newAim, zbest); 84 | newAim.hx = newAim.hx.div(m / n); 85 | newAim.hy = newAim.hy.div(m / n); 86 | } 87 | return zbest; 88 | } 89 | 90 | /** 91 | * Main function for drawing fractal. It uses searchOrigin() and then drawing fractal with WebGL 92 | */ 93 | function draw(aim, julia) { 94 | try { 95 | let gl = (julia) ? glJulia : glMandel; 96 | twgl.resizeCanvasToDisplaySize(gl.canvas, window.devicePixelRatio || 1); 97 | gl.viewport(0, 0, gl.canvas.width, gl.canvas.height); 98 | const ratio = gl.canvas.width / gl.canvas.height; 99 | if (ratio > 1) { 100 | aim.hx = aim.hy.mul(ratio); 101 | } else { 102 | aim.hy = aim.hx.div(ratio); 103 | } 104 | const programInfo = programGetter(gl, vert, frag, julia); 105 | gl.useProgram(programInfo.program); 106 | 107 | const origin = searchOrigin(aim, julia ? julia : 0); 108 | const orbit = julia ? calcOrbit(julia, origin) : calcOrbit(origin); 109 | const texsize = Math.ceil(Math.sqrt(orbit.length / 4)); 110 | const orbittex = twgl.createTexture(gl, { 111 | format: gl.RGBA, 112 | type: gl.FLOAT, 113 | minMag: gl.NEAREST, 114 | wrap: gl.CLAMP_TO_EDGE, 115 | src: orbit, 116 | }); 117 | 118 | const attribs = { a_position: { data: [1, 1, 1, -1, -1, -1, -1, 1], numComponents: 2 } }; 119 | const bufferInfo = twgl.createBufferInfoFromArrays(gl, attribs); 120 | twgl.setBuffersAndAttributes(gl, programInfo, bufferInfo); 121 | 122 | const uniforms = { 123 | rotator: [Math.sin(aim.phi), Math.cos(aim.phi)], 124 | center: [aim.x.sub(origin.x).toNumber(), aim.y.sub(origin.y).toNumber()], 125 | size: [aim.hx.toNumber(), aim.hy.toNumber()], 126 | pixelsize: [aim.hx.toNumber() / gl.canvas.width, aim.hy.toNumber() / gl.canvas.height], 127 | texsize: texsize, 128 | orbittex: orbittex, 129 | exteriortex: exteriortex, 130 | }; 131 | twgl.setUniforms(programInfo, uniforms); 132 | 133 | twgl.drawBufferInfo(gl, bufferInfo, gl.TRIANGLE_FAN); 134 | } catch (error) { 135 | document.getElementById('errorMsg').innerHTML += '
' + error; 136 | Events.showError(); 137 | } 138 | } 139 | -------------------------------------------------------------------------------- /src/old-src/events.js: -------------------------------------------------------------------------------- 1 | 'use strict'; 2 | 3 | const Events = { 4 | savePng() { 5 | const a = document.createElement('a'); 6 | a.href = document.getElementById('glmandel').toDataURL('png'); 7 | a.download = `mandelbrot_x_${aim.x.toExponential()}__y_${aim.y.toExponential()})` 8 | + `__zoom_${Math.floor(1.5 * aim.hx.inv().toNumber())}x.png`; 9 | a.click(); 10 | }, 11 | showError(header, msg) { 12 | if (header) document.getElementById('errorHdr').innerHTML = header; 13 | if (msg) document.getElementById('errorMsg').innerHTML = msg; 14 | document.getElementById('errorBox').classList.add('is-active'); 15 | }, 16 | simpleZoom(pos, factor) { 17 | aim.x = pos.x; 18 | aim.y = pos.y; 19 | aim.hx = aim.hx.mul(factor); 20 | aim.hy = aim.hy.mul(factor); 21 | draw(aim); 22 | Events.updateUI(); 23 | }, 24 | updateUI() { 25 | const glcontrol = document.getElementById('glcontrol'); 26 | const ctx = glcontrol.getContext('2d'); 27 | ctx.clearRect(0, 0, glcontrol.width, glcontrol.height); 28 | glcontrol.width = ctx.canvas.clientWidth; 29 | glcontrol.height = ctx.canvas.clientHeight; 30 | const gl = twgl.getContext(document.getElementById('gljulia')); 31 | gl.clear(gl.COLOR_BUFFER_BIT); 32 | }, 33 | reset() { 34 | aim = { x: new Double(-0.75), y: new Double(0), hx: new Double(1.25), hy: new Double(1.15), phi: 0 }; 35 | draw(aim); 36 | } 37 | }; 38 | 39 | (function () { 40 | 41 | /* ============== Functions ============== */ 42 | 43 | function getPos(e) { 44 | if (prevPhi != aim.phi) { 45 | prevPhi = aim.phi; 46 | prevCos = Math.cos(aim.phi); 47 | prevSin = Math.sin(aim.phi); 48 | } 49 | const dx = aim.hx.mul(2 * e.offsetX / glcontrol.width - 1); 50 | const dy = aim.hy.mul(2 * e.offsetY / glcontrol.height - 1); 51 | return { 52 | x: aim.x.add(dx.mul(prevCos).add(dy.mul(prevSin))), 53 | y: aim.y.add(dx.mul(prevSin).sub(dy.mul(prevCos))), 54 | px: e.offsetX, 55 | py: e.offsetY, 56 | }; 57 | } 58 | 59 | function wheelZoom(pos) { 60 | const factor = Math.pow(2, -wheelAccum / 200 ); 61 | pos.x = pos.x.add(aim.x.sub(pos.x).mul(factor)); 62 | pos.y = pos.y.add(aim.y.sub(pos.y).mul(factor)); 63 | Events.simpleZoom(pos, factor); 64 | wheelAccum = 0; 65 | } 66 | 67 | function aimZoom(pos, newAim) { 68 | if (!newAim.hx) { 69 | Events.simpleZoom(pos, 1/8); 70 | } else if (Math.abs(mouseDownPos.px - pos.px) + Math.abs(mouseDownPos.py - pos.py) < 10) { 71 | Events.simpleZoom(mouseDownPos, 1/8); 72 | } else { 73 | aim = newAim; 74 | draw(aim); 75 | Events.updateUI(); 76 | } 77 | } 78 | 79 | function drawOrbit(pos) { 80 | const orbittex = calcOrbit(pos); 81 | const ctx = glcontrol.getContext('2d'); 82 | ctx.clearRect(0, 0, glcontrol.width, glcontrol.height); 83 | ctx.beginPath(); 84 | for (let i = 0; i < imax; i++) { 85 | const point = { x: orbittex[4 * i], y: orbittex[4 * i + 1] }; 86 | const x = ((point.x - aim.x.toNumber()) / aim.hx.toNumber() + 1) / 2 * glcontrol.width; 87 | const y = ((aim.y.toNumber() - point.y) / aim.hy.toNumber() + 1) / 2 * glcontrol.height; 88 | ctx.arc(x, y, 1, 0, 2 * Math.PI, true); 89 | ctx.lineTo(x, y); 90 | ctx.moveTo(x, y); 91 | } 92 | ctx.strokeStyle = '#efe1f4'; 93 | ctx.stroke(); 94 | } 95 | 96 | /* ============== Listeners ============== */ 97 | 98 | const glcontrol = document.getElementById('glcontrol'); 99 | let mouseDownPos, prevPhi, prevSin, prevCos; 100 | let newAim = {}; 101 | let isDrawingAim = false; 102 | let isJulia = false; 103 | let isOrbit = false; 104 | let wheelAccum = 0; 105 | 106 | document.addEventListener('DOMContentLoaded', () => { 107 | Events.updateUI(); 108 | draw(aim); 109 | }); 110 | 111 | glcontrol.addEventListener('mousedown', e => { 112 | mouseDownPos = getPos(e); 113 | if ((e.button == 0 && e.ctrlKey) || e.button == 1) { 114 | isJulia = true; 115 | } else if (e.button == 0) { 116 | isDrawingAim = true; 117 | } 118 | }); 119 | 120 | glcontrol.addEventListener('mouseup', e => { 121 | const pos = getPos(e); 122 | if (e.button == 0 && !isJulia) { 123 | isDrawingAim = false; 124 | aimZoom(pos, newAim); 125 | } else if (e.button == 2) { 126 | Events.simpleZoom(pos, 8); 127 | } 128 | }); 129 | 130 | window.addEventListener('mouseup', e => { 131 | if (isDrawingAim && e.target.id != 'glcontrol') { 132 | getPos(e); 133 | glcontrol.dispatchEvent(new MouseEvent('mouseup', e)); 134 | } 135 | if (isJulia) { 136 | isJulia = false; 137 | Events.updateUI(); 138 | } 139 | if (isOrbit) { 140 | isOrbit = false; 141 | Events.updateUI(); 142 | } 143 | }); 144 | glcontrol.addEventListener('mousemove', e => { 145 | if (isDrawingAim) { 146 | const ctx = glcontrol.getContext('2d'); 147 | ctx.clearRect(0, 0, glcontrol.width, glcontrol.height); 148 | const dpos = mouseDownPos; 149 | const mx = e.offsetX - dpos.px; 150 | const my = e.offsetY - dpos.py; 151 | const ww = glcontrol.width; 152 | const wh = glcontrol.height; 153 | const ratio = Math.sqrt((mx*mx + my*my) * 4 / ww / ww); 154 | const hx = aim.hx.mul(ratio); 155 | const hy = aim.hy.mul(ratio); 156 | const alpha = -Math.atan2(my, mx); 157 | const px = ww / 2 * ratio; 158 | const py = wh / 2 * ratio; 159 | ctx.save(); 160 | ctx.beginPath(); 161 | ctx.translate(dpos.px, dpos.py); 162 | ctx.rotate(-alpha); 163 | ctx.rect(-px, -py, 2*px, 2*py); 164 | ctx.moveTo(0, 0); 165 | ctx.lineTo(px, 0); 166 | ctx.fillRect(-px-1, -py-1, 2, 2); 167 | ctx.fillRect(-px-1, py-1, 2, 2); 168 | ctx.fillRect( px-1, py-1, 2, 2); 169 | ctx.fillRect( px-1, -py-1, 2, 2); 170 | ctx.strokeStyle = '#000000'; 171 | ctx.fillStyle = '#000000'; 172 | ctx.stroke(); 173 | ctx.restore(); 174 | newAim = { x: dpos.x, y: dpos.y, hx: hx, hy: hy, phi: aim.phi + alpha }; 175 | } 176 | if (isJulia) { 177 | const pos = getPos(e); 178 | draw({x:Double.Zero, y:Double.Zero, hx:new Double(2), hy:new Double(2), phi:0}, pos); 179 | drawOrbit(pos); 180 | } 181 | }); 182 | 183 | glcontrol.addEventListener('wheel', e => { 184 | e.preventDefault(); 185 | if (wheelAccum == 0) { 186 | setTimeout(() => wheelZoom(getPos(e)), 100); 187 | } 188 | wheelAccum += e.deltaY; 189 | }); 190 | 191 | /* ============== Resize / context ============== */ 192 | glcontrol.addEventListener('contextmenu', e => e.preventDefault()); 193 | document.getElementById('glmandel').addEventListener('webglcontextlost', e => { 194 | Events.showError('WebGL context lost!', 195 | `GPU calculation was too long and browser or OS decides to reset the GPU. 196 | ${superSampling ? '\nTry to off supersampling.' : ''}`); 197 | e.preventDefault(); 198 | }); 199 | 200 | let currentRequestId = 0; 201 | window.addEventListener('resize', e => { 202 | function requestResize(crid) { 203 | if (crid == currentRequestId) { 204 | Events.simpleZoom(aim, 1); 205 | } 206 | currentRequestId = 0; 207 | } 208 | currentRequestId += 1; 209 | setTimeout(() => requestResize(currentRequestId), 500); 210 | }); 211 | 212 | /* ============== Burgermenu ============== */ 213 | 214 | const burger = document.querySelector('.navbar-burger'); 215 | const menu = document.getElementById(burger.dataset.target); 216 | menu.addEventListener('click', () => { 217 | if (window.getComputedStyle(burger).display == 'block') { 218 | burger.click(); 219 | } 220 | }); 221 | burger.addEventListener('click', () => { 222 | menu.classList.toggle('is-active'); 223 | burger.classList.toggle('is-active'); 224 | }); 225 | 226 | /* ============== Hammerjs ============== */ 227 | 228 | document.body.addEventListener('touchmove', function(event) { 229 | event.preventDefault(); 230 | }, false); 231 | 232 | let hammerjs = new Hammer.Manager(glcontrol); 233 | let pan = new Hammer.Pan(); 234 | let rotate = new Hammer.Rotate(); 235 | let pinch = new Hammer.Pinch(); 236 | 237 | hammerjs.add([pan, pinch, rotate]); 238 | hammerjs.get('pinch').set({ enable: true }); 239 | hammerjs.get('rotate').set({ enable: true }); 240 | 241 | let adjustDeltaX = 0; 242 | let adjustDeltaY = 0; 243 | let adjustScale = 1; 244 | let adjustRotation = 0; 245 | 246 | let currentDeltaX = null; 247 | let currentDeltaY = null; 248 | let currentScale = null; 249 | let currentRotation = null; 250 | 251 | hammerjs.on("panstart pinchstart rotatestart", function(e) { 252 | if (e.pointerType === 'touch') { 253 | adjustRotation -= e.rotation; 254 | } 255 | }); 256 | 257 | hammerjs.on("panmove pinchmove rotatemove", function(e) { 258 | if (e.pointerType === 'touch') { 259 | currentRotation = adjustRotation + e.rotation; 260 | currentScale = adjustScale * e.scale; 261 | currentDeltaX = adjustDeltaX + e.deltaX / currentScale; 262 | currentDeltaY = adjustDeltaY + e.deltaY / currentScale; 263 | } 264 | }); 265 | 266 | hammerjs.on("panend pinchend rotateend", function(e) { 267 | if (e.pointerType === 'touch') { 268 | adjustScale = currentScale; 269 | adjustRotation = currentRotation; 270 | adjustDeltaX = currentDeltaX; 271 | adjustDeltaY = currentDeltaY; 272 | 273 | const dx = aim.hx.mul(-2 * adjustDeltaX / glcontrol.width); 274 | const dy = aim.hy.mul(-2 * adjustDeltaY / glcontrol.height); 275 | const cosPhi = Math.cos(aim.phi); 276 | const sinPhi = Math.sin(aim.phi); 277 | aim.x = aim.x.add(dx.mul(cosPhi).add(dy.mul(sinPhi))); 278 | aim.y = aim.y.add(dx.mul(sinPhi).sub(dy.mul(cosPhi))); 279 | aim.hx = aim.hx.div(adjustScale); 280 | aim.hy = aim.hy.div(adjustScale); 281 | aim.phi = aim.phi + adjustRotation / 360; 282 | draw(aim); 283 | 284 | adjustScale = 1; 285 | adjustRotation = 0; 286 | adjustDeltaX = 0; 287 | adjustDeltaY = 0; 288 | } 289 | }); 290 | 291 | /* ============== Service worker ============== */ 292 | 293 | if ('serviceWorker' in navigator) { 294 | window.addEventListener('load', () => { 295 | navigator.serviceWorker.register('/sw.js'); 296 | }); 297 | } 298 | 299 | })(); 300 | -------------------------------------------------------------------------------- /index.html: -------------------------------------------------------------------------------- 1 | 2 | 3 | 4 | 5 | 7 | 8 | DeepMandelbrot 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | 24 | 25 | 26 | 27 | 28 | 29 | 30 | 31 | 32 | 33 | 34 | 35 | 36 | 37 | 38 | 39 | 40 | 41 | 42 | 43 | 44 | 45 | 46 | 47 | 48 | 49 | 67 | 68 | 69 | 70 | 71 |
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No Surrender of Others' Freedom. 545 | 546 | If conditions are imposed on you (whether by court order, agreement or 547 | otherwise) that contradict the conditions of this License, they do not 548 | excuse you from the conditions of this License. If you cannot convey a 549 | covered work so as to satisfy simultaneously your obligations under this 550 | License and any other pertinent obligations, then as a consequence you may 551 | not convey it at all. For example, if you agree to terms that obligate you 552 | to collect a royalty for further conveying from those to whom you convey 553 | the Program, the only way you could satisfy both those terms and this 554 | License would be to refrain entirely from conveying the Program. 555 | 556 | 13. Use with the GNU Affero General Public License. 557 | 558 | Notwithstanding any other provision of this License, you have 559 | permission to link or combine any covered work with a work licensed 560 | under version 3 of the GNU Affero General Public License into a single 561 | combined work, and to convey the resulting work. The terms of this 562 | License will continue to apply to the part which is the covered work, 563 | but the special requirements of the GNU Affero General Public License, 564 | section 13, concerning interaction through a network will apply to the 565 | combination as such. 566 | 567 | 14. Revised Versions of this License. 568 | 569 | The Free Software Foundation may publish revised and/or new versions of 570 | the GNU General Public License from time to time. Such new versions will 571 | be similar in spirit to the present version, but may differ in detail to 572 | address new problems or concerns. 573 | 574 | Each version is given a distinguishing version number. If the 575 | Program specifies that a certain numbered version of the GNU General 576 | Public License "or any later version" applies to it, you have the 577 | option of following the terms and conditions either of that numbered 578 | version or of any later version published by the Free Software 579 | Foundation. If the Program does not specify a version number of the 580 | GNU General Public License, you may choose any version ever published 581 | by the Free Software Foundation. 582 | 583 | If the Program specifies that a proxy can decide which future 584 | versions of the GNU General Public License can be used, that proxy's 585 | public statement of acceptance of a version permanently authorizes you 586 | to choose that version for the Program. 587 | 588 | Later license versions may give you additional or different 589 | permissions. However, no additional obligations are imposed on any 590 | author or copyright holder as a result of your choosing to follow a 591 | later version. 592 | 593 | 15. Disclaimer of Warranty. 594 | 595 | THERE IS NO WARRANTY FOR THE PROGRAM, TO THE EXTENT PERMITTED BY 596 | APPLICABLE LAW. EXCEPT WHEN OTHERWISE STATED IN WRITING THE COPYRIGHT 597 | HOLDERS AND/OR OTHER PARTIES PROVIDE THE PROGRAM "AS IS" WITHOUT WARRANTY 598 | OF ANY KIND, EITHER EXPRESSED OR IMPLIED, INCLUDING, BUT NOT LIMITED TO, 599 | THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR 600 | PURPOSE. THE ENTIRE RISK AS TO THE QUALITY AND PERFORMANCE OF THE PROGRAM 601 | IS WITH YOU. SHOULD THE PROGRAM PROVE DEFECTIVE, YOU ASSUME THE COST OF 602 | ALL NECESSARY SERVICING, REPAIR OR CORRECTION. 603 | 604 | 16. Limitation of Liability. 605 | 606 | IN NO EVENT UNLESS REQUIRED BY APPLICABLE LAW OR AGREED TO IN WRITING 607 | WILL ANY COPYRIGHT HOLDER, OR ANY OTHER PARTY WHO MODIFIES AND/OR CONVEYS 608 | THE PROGRAM AS PERMITTED ABOVE, BE LIABLE TO YOU FOR DAMAGES, INCLUDING ANY 609 | GENERAL, SPECIAL, INCIDENTAL OR CONSEQUENTIAL DAMAGES ARISING OUT OF THE 610 | USE OR INABILITY TO USE THE PROGRAM (INCLUDING BUT NOT LIMITED TO LOSS OF 611 | DATA OR DATA BEING RENDERED INACCURATE OR LOSSES SUSTAINED BY YOU OR THIRD 612 | PARTIES OR A FAILURE OF THE PROGRAM TO OPERATE WITH ANY OTHER PROGRAMS), 613 | EVEN IF SUCH HOLDER OR OTHER PARTY HAS BEEN ADVISED OF THE POSSIBILITY OF 614 | SUCH DAMAGES. 615 | 616 | 17. Interpretation of Sections 15 and 16. 617 | 618 | If the disclaimer of warranty and limitation of liability provided 619 | above cannot be given local legal effect according to their terms, 620 | reviewing courts shall apply local law that most closely approximates 621 | an absolute waiver of all civil liability in connection with the 622 | Program, unless a warranty or assumption of liability accompanies a 623 | copy of the Program in return for a fee. 624 | 625 | END OF TERMS AND CONDITIONS 626 | 627 | How to Apply These Terms to Your New Programs 628 | 629 | If you develop a new program, and you want it to be of the greatest 630 | possible use to the public, the best way to achieve this is to make it 631 | free software which everyone can redistribute and change under these terms. 632 | 633 | To do so, attach the following notices to the program. It is safest 634 | to attach them to the start of each source file to most effectively 635 | state the exclusion of warranty; and each file should have at least 636 | the "copyright" line and a pointer to where the full notice is found. 637 | 638 | 639 | Copyright (C) 640 | 641 | This program is free software: you can redistribute it and/or modify 642 | it under the terms of the GNU General Public License as published by 643 | the Free Software Foundation, either version 3 of the License, or 644 | (at your option) any later version. 645 | 646 | This program is distributed in the hope that it will be useful, 647 | but WITHOUT ANY WARRANTY; without even the implied warranty of 648 | MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the 649 | GNU General Public License for more details. 650 | 651 | You should have received a copy of the GNU General Public License 652 | along with this program. If not, see . 653 | 654 | Also add information on how to contact you by electronic and paper mail. 655 | 656 | If the program does terminal interaction, make it output a short 657 | notice like this when it starts in an interactive mode: 658 | 659 | Copyright (C) 660 | This program comes with ABSOLUTELY NO WARRANTY; for details type `show w'. 661 | This is free software, and you are welcome to redistribute it 662 | under certain conditions; type `show c' for details. 663 | 664 | The hypothetical commands `show w' and `show c' should show the appropriate 665 | parts of the General Public License. Of course, your program's commands 666 | might be different; for a GUI interface, you would use an "about box". 667 | 668 | You should also get your employer (if you work as a programmer) or school, 669 | if any, to sign a "copyright disclaimer" for the program, if necessary. 670 | For more information on this, and how to apply and follow the GNU GPL, see 671 | . 672 | 673 | The GNU General Public License does not permit incorporating your program 674 | into proprietary programs. If your program is a subroutine library, you 675 | may consider it more useful to permit linking proprietary applications with 676 | the library. If this is what you want to do, use the GNU Lesser General 677 | Public License instead of this License. But first, please read 678 | . --------------------------------------------------------------------------------