├── .gitignore ├── .travis.yml ├── README.md ├── index.d.ts ├── index.js ├── package-lock.json ├── package.json └── tests └── moving_average.js /.gitignore: -------------------------------------------------------------------------------- 1 | node_modules 2 | .DS_Store 3 | -------------------------------------------------------------------------------- /.travis.yml: -------------------------------------------------------------------------------- 1 | language: node_js 2 | node_js: 3 | - 'lts/*' 4 | - node 5 | -------------------------------------------------------------------------------- /README.md: -------------------------------------------------------------------------------- 1 | # moving-average 2 | 3 | [![Build Status](https://travis-ci.org/pgte/moving-average.svg?branch=master)](https://travis-ci.org/pgte/moving-average) 4 | 5 | Online calculation of Exponential Moving Average for Node.js. 6 | 7 | Also suports Moving Variance, Moving Deviation and Forecast. 8 | 9 | The [following](https://en.wikipedia.org/wiki/Moving_average#Exponential_moving_average) online algorithm is implemented: 10 | 11 | ``` 12 | diff := x - mean 13 | incr := alpha * diff 14 | mean := mean + incr 15 | variance := (1 - alpha) * (variance + diff * incr) 16 | forecast := mean + alpha * diff 17 | ``` 18 | 19 | ## Install 20 | 21 | ```bash 22 | $ npm install moving-average 23 | ``` 24 | 25 | ## Use 26 | 27 | ```javascript 28 | var timeInterval = 5 * 60 * 1000; // 5 minutes 29 | 30 | var MA = require('moving-average'); 31 | var ma = MA(timeInterval); 32 | 33 | setInterval(function() { 34 | ma.push(Date.now(), Math.random() * 500); 35 | console.log('moving average now is', ma.movingAverage()); 36 | console.log('moving variance now is', ma.variance()); 37 | console.log('moving deviation now is', ma.deviation()); 38 | console.log('forecast is', ma.forecast()); 39 | }); 40 | ``` 41 | 42 | ## License 43 | 44 | MIT 45 | -------------------------------------------------------------------------------- /index.d.ts: -------------------------------------------------------------------------------- 1 | declare namespace MovingAverage { 2 | export interface IMovingAverage { 3 | variance: () => number 4 | movingAverage: () => number 5 | 6 | deviation: () => number 7 | forecast: () => number 8 | 9 | push: (time: number, value: number) => void 10 | } 11 | } 12 | 13 | declare function MovingAverage(timespan: number): MovingAverage.IMovingAverage 14 | 15 | export = MovingAverage 16 | -------------------------------------------------------------------------------- /index.js: -------------------------------------------------------------------------------- 1 | 'use strict' 2 | 3 | const exp = Math.exp 4 | 5 | exports = 6 | module.exports = 7 | function MovingAverage (timespan) { 8 | if (typeof timespan !== 'number') { throw new Error('must provide a timespan to the moving average constructor') } 9 | 10 | if (timespan <= 0) { throw new Error('must provide a timespan > 0 to the moving average constructor') } 11 | 12 | let ma // moving average 13 | let v = 0 // variance 14 | let d = 0 // deviation 15 | let f = 0 // forecast 16 | 17 | let previousTime 18 | 19 | let ret = {} 20 | 21 | function alpha (t, pt) { 22 | return 1 - (exp(-(t - pt) / timespan)) 23 | } 24 | 25 | ret.push = 26 | function push (time, value) { 27 | if (previousTime) { 28 | // calculate moving average 29 | const a = alpha(time, previousTime) 30 | const diff = value - ma 31 | const incr = a * diff 32 | ma = a * value + (1 - a) * ma 33 | // calculate variance & deviation 34 | v = (1 - a) * (v + diff * incr) 35 | d = Math.sqrt(v) 36 | // calculate forecast 37 | f = ma + a * diff 38 | } else { 39 | ma = value 40 | } 41 | previousTime = time 42 | } 43 | 44 | // Exponential Moving Average 45 | 46 | ret.movingAverage = 47 | function movingAverage () { 48 | return ma 49 | } 50 | 51 | // Variance 52 | ret.variance = 53 | function variance () { 54 | return v 55 | } 56 | 57 | ret.deviation = 58 | function deviation () { 59 | return d 60 | } 61 | 62 | ret.forecast = 63 | function forecast () { 64 | return f 65 | } 66 | 67 | return ret 68 | } 69 | -------------------------------------------------------------------------------- /package-lock.json: -------------------------------------------------------------------------------- 1 | { 2 | "name": "moving-average", 3 | "version": "0.1.1", 4 | "lockfileVersion": 1, 5 | "requires": true, 6 | "dependencies": { 7 | "acorn": { 8 | "version": "5.1.2", 9 | "resolved": "https://registry.npmjs.org/acorn/-/acorn-5.1.2.tgz", 10 | "integrity": "sha512-o96FZLJBPY1lvTuJylGA9Bk3t/GKPPJG8H0ydQQl01crzwJgspa4AEIq/pVTXigmK0PHVQhiAtn8WMBLL9D2WA==", 11 | "dev": true 12 | }, 13 | "acorn-jsx": { 14 | "version": "3.0.1", 15 | "resolved": "https://registry.npmjs.org/acorn-jsx/-/acorn-jsx-3.0.1.tgz", 16 | "integrity": "sha1-r9+UiPsezvyDSPb7IvRk4ypYs2s=", 17 | "dev": true, 18 | "requires": { 19 | "acorn": 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"contributors": [ 28 | "Pedro Teixeira ", 29 | "John Meisner ", 30 | "Max Kutny " 31 | ], 32 | "license": "MIT" 33 | } 34 | -------------------------------------------------------------------------------- /tests/moving_average.js: -------------------------------------------------------------------------------- 1 | var test = require('tap').test 2 | var MA = require('..') 3 | 4 | test('moving average with no time span errors', function (t) { 5 | t.plan(1) 6 | t.throws(function () { 7 | MA() 8 | }) 9 | }) 10 | 11 | test('moving average with zero time errors', function (t) { 12 | t.plan(1) 13 | t.throws(function () { 14 | MA(0) 15 | }) 16 | }) 17 | 18 | test('moving average with negative time errors', function (t) { 19 | t.plan(1) 20 | t.throws(function () { 21 | MA(-1) 22 | }) 23 | }) 24 | 25 | test('moving average with one value gets that value', function (t) { 26 | t.plan(1) 27 | 28 | var ma = MA(5000) 29 | ma.push(Date.now(), 5) 30 | t.strictEqual(ma.movingAverage(), 5) 31 | }) 32 | 33 | test('moving average on a constant value returns that value', function (t) { 34 | t.plan(1) 35 | 36 | var ma = MA(5000) 37 | 38 | var now = Date.now() 39 | ma.push(now, 5) 40 | ma.push(now + 1000, 5) 41 | ma.push(now + 2000, 5) 42 | ma.push(now + 3000, 5) 43 | 44 | t.strictEqual(ma.movingAverage(), 5) 45 | }) 46 | 47 | test('moving average works', function (t) { 48 | t.plan(2) 49 | 50 | var ma = MA(50000) 51 | 52 | var now = Date.now() 53 | ma.push(now, 1) 54 | ma.push(now + 1000, 2) 55 | ma.push(now + 2000, 3) 56 | ma.push(now + 3000, 3) 57 | ma.push(now + 4000, 10) 58 | 59 | var m = ma.movingAverage() 60 | t.ok(m < 1.28) 61 | t.ok(m > 1.27) 62 | }) 63 | 64 | test('variance is 0 on one sample', function (t) { 65 | t.plan(1) 66 | 67 | var ma = MA(5000) 68 | ma.push(Date.now(), 5) 69 | 70 | t.strictEqual(ma.variance(), 0) 71 | }) 72 | 73 | test('variance is 0 on samples with same value', function (t) { 74 | t.plan(1) 75 | 76 | var ma = MA(5000) 77 | var now = Date.now() 78 | ma.push(now, 3) 79 | ma.push(now + 1000, 3) 80 | ma.push(now + 2000, 3) 81 | ma.push(now + 3000, 3) 82 | ma.push(now + 4000, 3) 83 | 84 | t.strictEqual(ma.variance(), 0) 85 | }) 86 | 87 | test('variance works (1)', function (t) { 88 | t.plan(2) 89 | 90 | var ma = MA(5000) 91 | var now = Date.now() 92 | ma.push(now, 0) 93 | ma.push(now + 1000, 1) 94 | ma.push(now + 2000, 2) 95 | ma.push(now + 3000, 3) 96 | ma.push(now + 4000, 4) 97 | 98 | var v = ma.variance() 99 | t.ok(v > 2.53) 100 | t.ok(v < 2.54) 101 | }) 102 | 103 | test('variance works (2)', function (t) { 104 | t.plan(2) 105 | 106 | var ma = MA(5000) 107 | var now = Date.now() 108 | ma.push(now, 0) 109 | ma.push(now + 1000, 1) 110 | ma.push(now + 2000, 1) 111 | ma.push(now + 3000, 1) 112 | ma.push(now + 4000, 1) 113 | 114 | var v = ma.variance() 115 | t.ok(v > 0.24) 116 | t.ok(v < 0.25) 117 | }) 118 | --------------------------------------------------------------------------------