├── .github └── workflows │ └── node.yml ├── .gitignore ├── LICENSE ├── README.md ├── bench.js ├── eslint.config.js ├── index.d.ts ├── index.html ├── index.js ├── package-lock.json ├── package.json └── test.js /.github/workflows/node.yml: -------------------------------------------------------------------------------- 1 | name: Node 2 | on: [push, pull_request] 3 | jobs: 4 | test: 5 | runs-on: ubuntu-latest 6 | steps: 7 | - name: Checkout 8 | uses: actions/checkout@v4 9 | 10 | - name: Setup Node 11 | uses: actions/setup-node@v4 12 | with: 13 | node-version: 20 14 | 15 | - name: Install dependencies 16 | run: npm ci 17 | 18 | - name: Run tests 19 | run: npm test 20 | -------------------------------------------------------------------------------- /.gitignore: -------------------------------------------------------------------------------- 1 | node_modules 2 | -------------------------------------------------------------------------------- /LICENSE: -------------------------------------------------------------------------------- 1 | ISC License 2 | 3 | Copyright (c) 2022, Mapbox 4 | 5 | Permission to use, copy, modify, and/or distribute this software for any purpose 6 | with or without fee is hereby granted, provided that the above copyright notice 7 | and this permission notice appear in all copies. 8 | 9 | THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES WITH 10 | REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND 11 | FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY SPECIAL, DIRECT, 12 | INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES WHATSOEVER RESULTING FROM LOSS 13 | OF USE, DATA OR PROFITS, WHETHER IN AN ACTION OF CONTRACT, NEGLIGENCE OR OTHER 14 | TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION WITH THE USE OR PERFORMANCE OF 15 | THIS SOFTWARE. 16 | -------------------------------------------------------------------------------- /README.md: -------------------------------------------------------------------------------- 1 | # potpack 2 | 3 | A tiny JavaScript library for packing 2D rectangles into a near-square container, 4 | which is useful for generating CSS sprites and WebGL textures. Similar to [shelf-pack](https://github.com/mapbox/shelf-pack), 5 | but static (you can't add items once a layout is generated), and aims for maximal space utilization. 6 | 7 | A variation of algorithms used in 8 | [rectpack2D](https://github.com/TeamHypersomnia/rectpack2D) and 9 | [bin-pack](https://github.com/bryanburgers/bin-pack), 10 | which are in turn based on 11 | [this article by Blackpawn](http://blackpawn.com/texts/lightmaps/default.html). 12 | 13 | ## [Demo](https://mapbox.github.io/potpack/) 14 | 15 | ## Example usage 16 | 17 | ```js 18 | import potpack from 'potpack'; 19 | 20 | const boxes = [ 21 | {w: 300, h: 50}, 22 | {w: 100, h: 200}, 23 | ... 24 | ]; 25 | 26 | const {w, h, fill} = potpack(boxes); 27 | // w and h are resulting container's width and height; 28 | // fill is the space utilization value (0 to 1), higher is better 29 | 30 | // potpack mutates the boxes array: it's sorted by height, 31 | // and box objects are augmented with x, y coordinates: 32 | boxes[0]; // {w: 300, h: 50, x: 100, y: 0} 33 | boxes[1]; // {w: 100, h: 200, x: 0, y: 0} 34 | ``` 35 | 36 | ## Install 37 | 38 | Install with NPM: `npm install potpack`. 39 | 40 | Potpack is provided as a ES module, so it's only supported on modern browsers, excluding IE: 41 | 42 | ```html 43 | 47 | ``` 48 | 49 | In Node, you can't use `require` — only `import` in ESM-capable versions (v12.15+): 50 | 51 | ```js 52 | import potpack from 'potpack'; 53 | ``` 54 | -------------------------------------------------------------------------------- /bench.js: -------------------------------------------------------------------------------- 1 | 2 | import ShelfPack from '@mapbox/shelf-pack'; 3 | import binpack from 'bin-pack'; 4 | import potpack from './index.js'; 5 | 6 | const N = 10000; 7 | 8 | const randBox = () => { 9 | const sizes = [12, 16, 20, 24]; 10 | return { 11 | w: sizes[Math.floor(Math.random() * sizes.length)], 12 | h: sizes[Math.floor(Math.random() * sizes.length)], 13 | x: 0, 14 | y: 0 15 | }; 16 | }; 17 | const randBox2 = () => ({ 18 | w: 1 + Math.floor(Math.random() * 99), 19 | h: 1 + Math.floor(Math.random() * 99), 20 | x: 0, 21 | y: 0 22 | }); 23 | const randBoxBinPack = (genBox) => { 24 | const {w, h} = genBox(); 25 | return () => ({width: w, height: h, x: 0, y: 0}); 26 | }; 27 | 28 | const shelfPackIter = (boxes) => { 29 | const pack = new ShelfPack(64, 64, {autoResize: true}); 30 | pack.pack(boxes, {inPlace: true}); 31 | }; 32 | const potpackIter = (boxes) => { 33 | potpack(boxes); 34 | }; 35 | const binpackIter = (boxes) => { 36 | binpack(boxes); 37 | }; 38 | 39 | console.log('4 different sizes:'); 40 | bench(' bin-pack', binpackIter, randBoxBinPack(randBox)); 41 | bench(' shelf-pack', shelfPackIter, randBox); 42 | bench(' potpack', potpackIter, randBox); 43 | 44 | console.log('\n100 different sizes:'); 45 | bench(' bin-pack', binpackIter, randBoxBinPack(randBox2)); 46 | bench(' shelf-pack', shelfPackIter, randBox2); 47 | bench(' potpack', potpackIter, randBox2); 48 | 49 | function bench(id, fn, genBox) { 50 | const boxes = []; 51 | for (let i = 0; i < N; i++) { 52 | boxes.push(genBox()); 53 | } 54 | 55 | const start = process.hrtime(); 56 | let s, ns; 57 | let k = 0; 58 | do { 59 | fn(boxes.slice()); 60 | [s, ns] = process.hrtime(start); 61 | k++; 62 | } while (s < 1); 63 | 64 | console.log(`${id}: ${Math.round(100 * k / (s + ns / 1e9)) / 100} ops/s`); 65 | } 66 | -------------------------------------------------------------------------------- /eslint.config.js: -------------------------------------------------------------------------------- 1 | export {default} from 'eslint-config-mourner'; 2 | -------------------------------------------------------------------------------- /index.d.ts: -------------------------------------------------------------------------------- 1 | declare module "potpack" { 2 | export interface PotpackBox { 3 | w: number; 4 | h: number; 5 | /** 6 | * X coordinate in the resulting container. 7 | */ 8 | x?: number; 9 | /** 10 | * Y coordinate in the resulting container. 11 | */ 12 | y?: number; 13 | } 14 | 15 | interface PotpackStats { 16 | /** 17 | * Width of the resulting container. 18 | */ 19 | w: number; 20 | /** 21 | * Height of the resulting container. 22 | */ 23 | h: number; 24 | /** 25 | * The space utilization value (0 to 1). Higher is better. 26 | */ 27 | fill: number; 28 | } 29 | 30 | /** 31 | * Packs 2D rectangles into a near-square container. 32 | * 33 | * Mutates the {@link boxes} array: it's sorted by height, 34 | * and box objects are augmented with `x`, `y` coordinates. 35 | */ 36 | const potpack: (boxes: PotpackBox[]) => PotpackStats; 37 | 38 | export default potpack; 39 | } 40 | -------------------------------------------------------------------------------- /index.html: -------------------------------------------------------------------------------- 1 | 2 | 3 | 4 | 5 | 14 | 15 | 16 |
17 |

potpack demo

18 |

Potpack is a tiny and fast JavaScript library for packing boxes of varying size into a near-square container, 19 | which is useful for generating CSS sprites and WebGL textures. GitHub: mapbox/potpack

20 |

21 | 22 |
23 | 24 | 74 | 75 | 76 | -------------------------------------------------------------------------------- /index.js: -------------------------------------------------------------------------------- 1 | 2 | export default function potpack(boxes) { 3 | 4 | // calculate total box area and maximum box width 5 | let area = 0; 6 | let maxWidth = 0; 7 | 8 | for (const box of boxes) { 9 | area += box.w * box.h; 10 | maxWidth = Math.max(maxWidth, box.w); 11 | } 12 | 13 | // sort the boxes for insertion by height, descending 14 | boxes.sort((a, b) => b.h - a.h); 15 | 16 | // aim for a squarish resulting container, 17 | // slightly adjusted for sub-100% space utilization 18 | const startWidth = Math.max(Math.ceil(Math.sqrt(area / 0.95)), maxWidth); 19 | 20 | // start with a single empty space, unbounded at the bottom 21 | const spaces = [{x: 0, y: 0, w: startWidth, h: Infinity}]; 22 | 23 | let width = 0; 24 | let height = 0; 25 | 26 | for (const box of boxes) { 27 | // look through spaces backwards so that we check smaller spaces first 28 | for (let i = spaces.length - 1; i >= 0; i--) { 29 | const space = spaces[i]; 30 | 31 | // look for empty spaces that can accommodate the current box 32 | if (box.w > space.w || box.h > space.h) continue; 33 | 34 | // found the space; add the box to its top-left corner 35 | // |-------|-------| 36 | // | box | | 37 | // |_______| | 38 | // | space | 39 | // |_______________| 40 | box.x = space.x; 41 | box.y = space.y; 42 | 43 | height = Math.max(height, box.y + box.h); 44 | width = Math.max(width, box.x + box.w); 45 | 46 | if (box.w === space.w && box.h === space.h) { 47 | // space matches the box exactly; remove it 48 | const last = spaces.pop(); 49 | if (i < spaces.length) spaces[i] = last; 50 | 51 | } else if (box.h === space.h) { 52 | // space matches the box height; update it accordingly 53 | // |-------|---------------| 54 | // | box | updated space | 55 | // |_______|_______________| 56 | space.x += box.w; 57 | space.w -= box.w; 58 | 59 | } else if (box.w === space.w) { 60 | // space matches the box width; update it accordingly 61 | // |---------------| 62 | // | box | 63 | // |_______________| 64 | // | updated space | 65 | // |_______________| 66 | space.y += box.h; 67 | space.h -= box.h; 68 | 69 | } else { 70 | // otherwise the box splits the space into two spaces 71 | // |-------|-----------| 72 | // | box | new space | 73 | // |_______|___________| 74 | // | updated space | 75 | // |___________________| 76 | spaces.push({ 77 | x: space.x + box.w, 78 | y: space.y, 79 | w: space.w - box.w, 80 | h: box.h 81 | }); 82 | space.y += box.h; 83 | space.h -= box.h; 84 | } 85 | break; 86 | } 87 | } 88 | 89 | return { 90 | w: width, // container width 91 | h: height, // container height 92 | fill: (area / (width * height)) || 0 // space utilization 93 | }; 94 | } 95 | -------------------------------------------------------------------------------- /package-lock.json: 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21 | }, 22 | "keywords": [ 23 | "algorithms", 24 | "sprites", 25 | "bin packing", 26 | "geometry", 27 | "rectangles" 28 | ], 29 | "author": "Vladimir Agafonkin", 30 | "license": "ISC", 31 | "bugs": { 32 | "url": "https://github.com/mapbox/potpack/issues" 33 | }, 34 | "homepage": "https://mapbox.github.io/potpack/", 35 | "devDependencies": { 36 | "@mapbox/shelf-pack": "^3.2.0", 37 | "bin-pack": "^1.0.2", 38 | "eslint": "^9.5.0", 39 | "eslint-config-mourner": "^4.0.1" 40 | } 41 | } 42 | -------------------------------------------------------------------------------- /test.js: -------------------------------------------------------------------------------- 1 | 2 | import potpack from './index.js'; 3 | import test from 'node:test'; 4 | import assert from 'node:assert/strict'; 5 | 6 | test('packs rectangles properly', () => { 7 | const boxes = []; 8 | for (let i = 1; i < 100; i++) { 9 | boxes.push({w: i, h: i, i}); 10 | } 11 | const {w, h, fill} = potpack(boxes); 12 | 13 | assert.equal(w, 588); 14 | assert.equal(h, 595); 15 | assert.ok(fill > 0.93); 16 | 17 | assert.deepEqual(boxes.find(b => b.i === 1), {w: 1, h: 1, i: 1, x: 586, y: 416}); 18 | }); 19 | --------------------------------------------------------------------------------