├── .gitignore ├── .travis.yml ├── LICENSE ├── README.md ├── benchmark.js ├── build ├── jittered-hexagonal-grid-sampling.js └── jittered-hexagonal-grid-sampling.min.js ├── eyeball.js ├── img ├── debugview.png └── example1.png ├── package-lock.json ├── package.json ├── src └── jittered-hexagonal-grid-sampling.js └── test └── jittered-hexagonal-grid-sampling.js /.gitignore: -------------------------------------------------------------------------------- 1 | # Logs 2 | logs 3 | *.log 4 | npm-debug.log* 5 | yarn-debug.log* 6 | yarn-error.log* 7 | lerna-debug.log* 8 | 9 | # Diagnostic reports (https://nodejs.org/api/report.html) 10 | report.[0-9]*.[0-9]*.[0-9]*.[0-9]*.json 11 | 12 | # Runtime data 13 | pids 14 | *.pid 15 | *.seed 16 | *.pid.lock 17 | 18 | # Directory for instrumented libs generated by jscoverage/JSCover 19 | lib-cov 20 | 21 | # Coverage directory used by tools like istanbul 22 | coverage 23 | *.lcov 24 | 25 | # nyc test coverage 26 | .nyc_output 27 | 28 | # Grunt intermediate storage (https://gruntjs.com/creating-plugins#storing-task-files) 29 | .grunt 30 | 31 | # Bower dependency directory (https://bower.io/) 32 | bower_components 33 | 34 | # node-waf configuration 35 | .lock-wscript 36 | 37 | # Compiled binary addons (https://nodejs.org/api/addons.html) 38 | build/Release 39 | 40 | # Dependency directories 41 | node_modules/ 42 | jspm_packages/ 43 | 44 | # TypeScript v1 declaration files 45 | typings/ 46 | 47 | # TypeScript cache 48 | *.tsbuildinfo 49 | 50 | # Optional npm cache directory 51 | .npm 52 | 53 | # Optional eslint cache 54 | .eslintcache 55 | 56 | # Microbundle cache 57 | .rpt2_cache/ 58 | .rts2_cache_cjs/ 59 | .rts2_cache_es/ 60 | .rts2_cache_umd/ 61 | 62 | # Optional REPL history 63 | .node_repl_history 64 | 65 | # Output of 'npm pack' 66 | *.tgz 67 | 68 | # Yarn Integrity file 69 | .yarn-integrity 70 | 71 | # dotenv environment variables file 72 | .env 73 | .env.test 74 | 75 | # parcel-bundler cache (https://parceljs.org/) 76 | .cache 77 | 78 | # Next.js build output 79 | .next 80 | 81 | # Nuxt.js build / generate output 82 | .nuxt 83 | dist 84 | 85 | # Gatsby files 86 | .cache/ 87 | # Comment in the public line in if your project uses Gatsby and *not* Next.js 88 | # https://nextjs.org/blog/next-9-1#public-directory-support 89 | # public 90 | 91 | # vuepress build output 92 | .vuepress/dist 93 | 94 | # Serverless directories 95 | .serverless/ 96 | 97 | # FuseBox cache 98 | .fusebox/ 99 | 100 | # DynamoDB Local files 101 | .dynamodb/ 102 | 103 | # TernJS port file 104 | .tern-port 105 | 106 | .vscode 107 | .idea 108 | /*.png -------------------------------------------------------------------------------- /.travis.yml: -------------------------------------------------------------------------------- 1 | language: node_js 2 | node_js: 3 | - "node" 4 | - "8" -------------------------------------------------------------------------------- /LICENSE: -------------------------------------------------------------------------------- 1 | MIT License 2 | 3 | Copyright (c) 2020 Kevin Chapelier 4 | 5 | Permission is hereby granted, free of charge, to any person obtaining a copy 6 | of this software and associated documentation files (the "Software"), to deal 7 | in the Software without restriction, including without limitation the rights 8 | to use, copy, modify, merge, publish, distribute, sublicense, and/or sell 9 | copies of the Software, and to permit persons to whom the Software is 10 | furnished to do so, subject to the following conditions: 11 | 12 | The above copyright notice and this permission notice shall be included in all 13 | copies or substantial portions of the Software. 14 | 15 | THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR 16 | IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, 17 | FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE 18 | AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER 19 | LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, 20 | OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE 21 | SOFTWARE. 22 | -------------------------------------------------------------------------------- /README.md: -------------------------------------------------------------------------------- 1 | # jittered-hexagonal-grid-sampling 2 | 3 | [![Build Status](https://travis-ci.org/kchapelier/jittered-hexagonal-grid-sampling.svg)](https://travis-ci.org/kchapelier/jittered-hexagonal-grid-sampling) [![NPM version](https://badge.fury.io/js/jittered-hexagonal-grid-sampling.svg)](http://badge.fury.io/js/jittered-hexagonal-grid-sampling) 4 | 5 | Jittered Hexagonal Grid Sampling 6 | 7 | 8 | 9 | ## Installing 10 | 11 | With [npm](https://www.npmjs.com/) do: 12 | 13 | ``` 14 | npm install jittered-hexagonal-grid-sampling 15 | ``` 16 | 17 | With [yarn](https://yarnpkg.com/) do: 18 | 19 | ``` 20 | yarn add jittered-hexagonal-grid-sampling 21 | ``` 22 | 23 | A compiled version for web browsers is also available on a CDN: 24 | 25 | ```html 26 | 27 | ``` 28 | 29 | ## Features 30 | 31 | - Can be used with a custom RNG function. 32 | - Similar general API as [poisson-disk-sampling](https://github.com/kchapelier/poisson-disk-sampling) and [fast-2d-poisson-disk-sampling](https://github.com/kchapelier/fast-2d-poisson-disk-sampling). 33 | 34 | ## Basic example 35 | 36 | ```js 37 | var p = new JitteredHexagonalGridSampling({ 38 | shape: [500, 200], 39 | radius: 5 40 | }); 41 | var points = p.fill(); 42 | 43 | console.log(points); // array of sample points, themselves represented as simple arrays 44 | ``` 45 | 46 | ### Result as an image 47 | 48 | 49 | 50 | ## Public API 51 | 52 | ### Constructor 53 | 54 | **new JitteredHexagonalGridSampling(options[, rng])** 55 | 56 | - *options :* 57 | - *shape :* Size/dimensions of the grid to generate points in, required. 58 | - *radius :* Radius of the circumcircle of the regular hexagon, required. 59 | - *jitter :* Jitter amount, defaults to 0.666. 60 | - *rng :* A function to use as random number generator, defaults to Math.random. 61 | 62 | The following code will allow the generation of points where both coordinates will range from *0 up to 50* (including 0, but not including 50, **0 <= c < 50**). 63 | 64 | ```js 65 | var sampling = new JitteredHexagonalGridSampling({ 66 | shape: [50, 50], 67 | radius: 4 68 | }); 69 | ``` 70 | 71 | ### Methods 72 | 73 | **sampling.fill()** 74 | 75 | Fill the grid with jittered points. 76 | 77 | Returns the entirety of the points in the grid as an array of coordinate arrays. The points are sorted in their generation order. 78 | 79 | ```js 80 | var points = sampling.fill(); 81 | 82 | console.log(points[0]); 83 | // prints something like [30, 16] 84 | ``` 85 | 86 | **sampling.getAllPoints()** 87 | 88 | Get all the points present in the grid without trying to generate any new points. 89 | 90 | Returns the entirety of the points in the grid as an array of coordinate arrays. The points are sorted in their generation order. 91 | 92 | ```js 93 | var points = sampling.getAllPoints(); 94 | 95 | console.log(points[0]); 96 | // prints something like [30, 16] 97 | ``` 98 | 99 | **sampling.next()** 100 | 101 | Try to generate a new point in the grid. 102 | 103 | Returns a coordinate array when a point is generated, null otherwise. 104 | 105 | ```js 106 | var point; 107 | 108 | while(point = sampling.next()) { 109 | console.log(point); // [x, y] 110 | } 111 | ``` 112 | 113 | **sampling.reset()** 114 | 115 | Reinitialize the grid as well as the internal state. 116 | 117 | ## History 118 | 119 | ### [1.0.1](https://github.com/kchapelier/jittered-hexagonal-grid-sampling/tree/1.0.1) (2022-05-21) : 120 | 121 | - Update dev dependencies 122 | 123 | ### [1.0.0](https://github.com/kchapelier/jittered-hexagonal-grid-sampling/tree/1.0.0) (2020-06-08) : 124 | 125 | - First release 126 | 127 | ## Roadmap 128 | 129 | None. 130 | 131 | ## How to contribute ? 132 | 133 | For new features and other enhancements, please make sure to contact me beforehand, either on [Twitter](https://twitter.com/kchplr) or through an issue on Github. 134 | 135 | ## License 136 | 137 | MIT -------------------------------------------------------------------------------- /benchmark.js: -------------------------------------------------------------------------------- 1 | "use strict"; 2 | 3 | function toMs (time) { 4 | return (time[0] * 1000 + time[1] / 1000000); 5 | } 6 | 7 | var JitteredHexSampling = require('./'); 8 | 9 | function benchmark (shape, radius, jitter, iterations, warmup) { 10 | var time = process.hrtime(), 11 | s = 0, 12 | sampling, i; 13 | 14 | for (i = 0; i < iterations; i++) { 15 | sampling = new JitteredHexSampling({ 16 | shape: shape, 17 | radius: radius, 18 | jitter: jitter 19 | }); 20 | 21 | s+= sampling.fill().length; 22 | } 23 | 24 | time = process.hrtime(time); 25 | 26 | if (!warmup) { 27 | console.log('[' + shape.join('x') + ' radius ' + radius + ' jitter ' + jitter + ']: ' + (toMs(time) / iterations).toFixed(3) + 'ms for ~' + (s/iterations|0)+' points'); 28 | } 29 | } 30 | 31 | console.log(); 32 | 33 | benchmark([800, 800], 4, 0.666, 50, true); 34 | benchmark([800, 800], 5.4, 0.666, 30, false); 35 | benchmark([800, 800], 2.7, 0.666, 30, false); 36 | benchmark([800, 800], 1.35, 0.666, 30, false); 37 | 38 | console.log(); -------------------------------------------------------------------------------- /build/jittered-hexagonal-grid-sampling.js: -------------------------------------------------------------------------------- 1 | (function(f){if(typeof exports==="object"&&typeof module!=="undefined"){module.exports=f()}else if(typeof define==="function"&&define.amd){define([],f)}else{var g;if(typeof window!=="undefined"){g=window}else if(typeof global!=="undefined"){g=global}else if(typeof self!=="undefined"){g=self}else{g=this}g.JitteredHexagonalGridSampling = f()}})(function(){var define,module,exports;return (function(){function r(e,n,t){function o(i,f){if(!n[i]){if(!e[i]){var c="function"==typeof require&&require;if(!f&&c)return c(i,!0);if(u)return u(i,!0);var a=new Error("Cannot find module '"+i+"'");throw a.code="MODULE_NOT_FOUND",a}var p=n[i]={exports:{}};e[i][0].call(p.exports,function(r){var n=e[i][1][r];return o(n||r)},p,p.exports,r,e,n,t)}return n[i].exports}for(var u="function"==typeof require&&require,i=0;i 1) { 108 | p = 1 - p; 109 | q = 1 - q; 110 | } 111 | 112 | var point = [ 113 | cx + (v0[0] * p + v1[0] * q) * this.jitterRadius, 114 | cy + (v0[1] * p + v1[1] * q) * this.jitterRadius 115 | ]; 116 | 117 | if (point[0] < 0 || point[0] >= this.width || point[1] < 0 || point[1] >= this.height) { 118 | continue; 119 | } 120 | 121 | this.samplePoints.push(point); 122 | this.currentY = y; 123 | this.currentX = x + 1; 124 | 125 | return point; 126 | } 127 | 128 | x = 0; 129 | } 130 | 131 | return null; 132 | }; 133 | 134 | /** 135 | * Automatically fill the grid. 136 | * @returns {Array[]} Sample points 137 | */ 138 | JitteredHexagonalGridSampling.prototype.fill = function () { 139 | while(this.next()) {} 140 | 141 | return this.samplePoints; 142 | }; 143 | 144 | /** 145 | * Reinitialize the grid as well as the internal state 146 | */ 147 | JitteredHexagonalGridSampling.prototype.reset = function () { 148 | this.samplePoints = []; 149 | this.currentX = this.currentY = 0; 150 | }; 151 | 152 | module.exports = JitteredHexagonalGridSampling; 153 | },{}]},{},[1])(1) 154 | }); 155 | -------------------------------------------------------------------------------- /build/jittered-hexagonal-grid-sampling.min.js: -------------------------------------------------------------------------------- 1 | (function(f){if(typeof exports==="object"&&typeof module!=="undefined"){module.exports=f()}else if(typeof define==="function"&&define.amd){define([],f)}else{var g;if(typeof window!=="undefined"){g=window}else if(typeof global!=="undefined"){g=global}else if(typeof 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-------------------------------------------------------------------------------- /package.json: -------------------------------------------------------------------------------- 1 | { 2 | "name": "jittered-hexagonal-grid-sampling", 3 | "version": "1.0.1", 4 | "description": "Jittered hexagonal grid sampling", 5 | "main": "src/jittered-hexagonal-grid-sampling.js", 6 | "scripts": { 7 | "build": "browserify src/jittered-hexagonal-grid-sampling.js --s JitteredHexagonalGridSampling > build/jittered-hexagonal-grid-sampling.js", 8 | "build-min": "browserify src/jittered-hexagonal-grid-sampling.js --s JitteredHexagonalGridSampling | terser --ecma 5 > build/jittered-hexagonal-grid-sampling.min.js", 9 | "test": "mocha test/", 10 | "eyeball": "node eyeball.js 2 > test.png && open test.png", 11 | "benchmark": "node benchmark.js" 12 | }, 13 | "files": [ 14 | "src/jittered-hexagonal-grid-sampling.js" 15 | ], 16 | "repository": { 17 | "type": "git", 18 | "url": "https://github.com/kchapelier/jittered-hexagonal-grid-sampling.git" 19 | }, 20 | "keywords": [ 21 | "noise", 22 | "jittered grid", 23 | "sampling" 24 | ], 25 | "author": "Kevin Chapelier", 26 | "license": "MIT", 27 | "readmeFilename": "README.md", 28 | "bugs": { 29 | "url": "https://github.com/kchapelier/jittered-hexagonal-grid-sampling/issues" 30 | }, 31 | "homepage": "https://github.com/kchapelier/jittered-hexagonal-grid-sampling", 32 | "dependencies": {}, 33 | "devDependencies": { 34 | "browserify": "^17.0.0", 35 | "chai": "^4.3.6", 36 | "mocha": "~10.0.0", 37 | "pngjs-nozlib": "~1.0.0", 38 | "terser": "^5.13.1" 39 | } 40 | } 41 | -------------------------------------------------------------------------------- /src/jittered-hexagonal-grid-sampling.js: -------------------------------------------------------------------------------- 1 | "use strict"; 2 | 3 | var hexSide = 0.8660254037844386; 4 | 5 | var vertices = [ 6 | [ 7 | 0.0, 8 | -1.0 9 | ], 10 | [ 11 | hexSide, 12 | -0.5 13 | ], 14 | [ 15 | hexSide, 16 | 0.5 17 | ], 18 | [ 19 | 0.0, 20 | 1.0 21 | ], 22 | [ 23 | -hexSide, 24 | 0.5 25 | ], 26 | [ 27 | -hexSide, 28 | -0.5 29 | ] 30 | ]; 31 | 32 | 33 | /** 34 | * JitteredHexagonalGridSampling constructor 35 | * @param {object} options Options 36 | * @param {Array} options.shape Shape of the space 37 | * @param {float} options.radius Minimum distance between each points 38 | * @param {float} [options.jitter] Jitter amount, defaults to 0.666 39 | * @param {function|null} [rng] RNG function, defaults to Math.random 40 | * @constructor 41 | */ 42 | function JitteredHexagonalGridSampling (options, rng) { 43 | this.width = options.shape[0]; 44 | this.height = options.shape[1]; 45 | this.r = options.radius || 1; 46 | this.jitter = typeof options.jitter === 'undefined' ? 0.6666 : options.jitter; 47 | this.jitterRadius = this.r * this.jitter; 48 | 49 | this.rng = rng || Math.random; 50 | 51 | this.maxY = Math.ceil(this.height / this.r); 52 | this.maxXEven = Math.ceil(this.width / (this.r * 2 * hexSide) + 0.5); 53 | this.maxXOdd = Math.ceil(this.width / (this.r * 2 * hexSide)); 54 | 55 | this.currentX = 0; 56 | this.currentY = 0; 57 | this.samplePoints = []; 58 | } 59 | 60 | JitteredHexagonalGridSampling.prototype.width = 0; 61 | JitteredHexagonalGridSampling.prototype.height = 0; 62 | JitteredHexagonalGridSampling.prototype.r = 0; 63 | JitteredHexagonalGridSampling.prototype.jitter = 0; 64 | JitteredHexagonalGridSampling.prototype.jitterRadius = 0; 65 | 66 | JitteredHexagonalGridSampling.prototype.rng = null; 67 | 68 | JitteredHexagonalGridSampling.prototype.maxY = 0; 69 | JitteredHexagonalGridSampling.prototype.maxXEven = 0; 70 | JitteredHexagonalGridSampling.prototype.maxXOdd = 0; 71 | 72 | JitteredHexagonalGridSampling.prototype.currentX = 0; 73 | JitteredHexagonalGridSampling.prototype.currentY = 0; 74 | JitteredHexagonalGridSampling.prototype.samplePoints = null; 75 | 76 | /** 77 | * Get all the points in the grid. 78 | * @returns {Array[]} Sample points 79 | */ 80 | JitteredHexagonalGridSampling.prototype.getAllPoints = function () { 81 | return this.samplePoints; 82 | }; 83 | 84 | /** 85 | * Try to generate a new point in the grid, returns null if it wasn't possible 86 | * @returns {Array|null} The added point or null 87 | */ 88 | JitteredHexagonalGridSampling.prototype.next = function () { 89 | var y = this.currentY; 90 | var x = this.currentX; 91 | 92 | for (; y < this.maxY; y++) { 93 | var yOdd = y % 2; 94 | for (; x < (yOdd ? this.maxXOdd : this.maxXEven) ; x++) { 95 | var cx = (x * 2 + yOdd) * this.r * hexSide; 96 | var cy = y * 1.5 * this.r; 97 | 98 | var p = this.rng() * 6; 99 | var q = this.rng(); 100 | var tri = p | 0; 101 | p = p % 1; 102 | 103 | var v0 = vertices[tri]; 104 | var v1 = vertices[(tri + 1) % 6]; 105 | 106 | if (p + q > 1) { 107 | p = 1 - p; 108 | q = 1 - q; 109 | } 110 | 111 | var point = [ 112 | cx + (v0[0] * p + v1[0] * q) * this.jitterRadius, 113 | cy + (v0[1] * p + v1[1] * q) * this.jitterRadius 114 | ]; 115 | 116 | if (point[0] < 0 || point[0] >= this.width || point[1] < 0 || point[1] >= this.height) { 117 | continue; 118 | } 119 | 120 | this.samplePoints.push(point); 121 | this.currentY = y; 122 | this.currentX = x + 1; 123 | 124 | return point; 125 | } 126 | 127 | x = 0; 128 | } 129 | 130 | return null; 131 | }; 132 | 133 | /** 134 | * Automatically fill the grid. 135 | * @returns {Array[]} Sample points 136 | */ 137 | JitteredHexagonalGridSampling.prototype.fill = function () { 138 | while(this.next()) {} 139 | 140 | return this.samplePoints; 141 | }; 142 | 143 | /** 144 | * Reinitialize the grid as well as the internal state 145 | */ 146 | JitteredHexagonalGridSampling.prototype.reset = function () { 147 | this.samplePoints = []; 148 | this.currentX = this.currentY = 0; 149 | }; 150 | 151 | module.exports = JitteredHexagonalGridSampling; -------------------------------------------------------------------------------- /test/jittered-hexagonal-grid-sampling.js: -------------------------------------------------------------------------------- 1 | "use strict"; 2 | 3 | var JHGS = require('../'), 4 | should = require('chai').should(); 5 | 6 | describe('Jittered Hexagonal Grid Sampling', function () { 7 | describe('fill()', function () { 8 | it('should return an array of points', function () { 9 | var sampling = new JHGS({ shape: [50, 30], radius: 4 }), 10 | points = sampling.fill(); 11 | 12 | points.should.be.instanceof(Array); 13 | points.length.should.be.at.least(1); 14 | points[0].should.be.instanceof(Array); 15 | }); 16 | 17 | it('should only generate points within the provided grid size', function () { 18 | var sampling = new JHGS({ shape: [50, 30], radius: 4, jitter: 1 }), 19 | points = sampling.fill(); 20 | 21 | for (var i = 0; i < points.length; i++) { 22 | points[i][0].should.be.within(0, 50); 23 | points[i][1].should.be.within(0, 30); 24 | } 25 | }); 26 | }); 27 | 28 | describe('getAllPoints()', function () { 29 | it('should return an empty array after the instantiation', function () { 30 | var sampling = new JHGS({ shape: [50, 30], radius: 4 }), 31 | points = sampling.getAllPoints(); 32 | 33 | points.should.be.instanceof(Array); 34 | points.length.should.be.equal(0); 35 | }); 36 | 37 | it('should return an array of points after fill', function () { 38 | var sampling = new JHGS({ shape: [50, 30], radius: 4 }); 39 | 40 | sampling.fill(); 41 | 42 | var points = sampling.getAllPoints(); 43 | 44 | points.should.be.instanceof(Array); 45 | points.length.should.be.at.least(1); 46 | points[0].should.be.instanceof(Array); 47 | }); 48 | }); 49 | 50 | describe('next()', function () { 51 | it('should return the point it successfully placed in the grid', function () { 52 | var sampling = new JHGS({ shape: [50, 30], radius: 4 }); 53 | 54 | var newPoint = sampling.next(); 55 | var points = sampling.getAllPoints(); 56 | 57 | newPoint.should.be.instanceof(Array); 58 | newPoint.length.should.be.equal(2); 59 | 60 | points.length.should.be.equal(1); 61 | 62 | points[0].should.be.deep.equal(newPoint); 63 | }); 64 | 65 | it('should return null if it cannot place any point', function () { 66 | var sampling = new JHGS({ shape: [10, 10], radius: 4 }); 67 | 68 | sampling.fill(); 69 | 70 | var newPoint = sampling.next(); 71 | 72 | should.equal(newPoint, null); 73 | }); 74 | }); 75 | 76 | describe('reset()', function () { 77 | it('should clear the state of the JHGS instance', function () { 78 | var sampling = new JHGS({ shape: [50, 30], radius: 4 }); 79 | 80 | sampling.fill(); 81 | 82 | var points = sampling.getAllPoints(); 83 | 84 | points.length.should.be.above(0); 85 | 86 | sampling.reset(); 87 | 88 | points = sampling.getAllPoints(); 89 | 90 | points.length.should.be.equal(0); 91 | }); 92 | 93 | it('should not affect previously retrieved point collection', function () { 94 | var sampling = new JHGS({ shape: [50, 30], radius: 4 }); 95 | 96 | sampling.fill(); 97 | 98 | var points = sampling.getAllPoints(); 99 | 100 | sampling.reset(); 101 | 102 | points.length.should.be.above(0); 103 | }); 104 | }); 105 | 106 | describe('general behavior', function () { 107 | it('should be able to spawn point in a shape with dimensions of 1', function () { 108 | var sampling = new JHGS({ shape: [1, 1], radius: 0.3 }); 109 | 110 | var points = sampling.fill(); 111 | 112 | points.length.should.be.above(1); 113 | }); 114 | }); 115 | }); --------------------------------------------------------------------------------