main.js (2422B)
1 /** 2 * @license Apache-2.0 3 * 4 * Copyright (c) 2018 The Stdlib Authors. 5 * 6 * Licensed under the Apache License, Version 2.0 (the "License"); 7 * you may not use this file except in compliance with the License. 8 * You may obtain a copy of the License at 9 * 10 * http://www.apache.org/licenses/LICENSE-2.0 11 * 12 * Unless required by applicable law or agreed to in writing, software 13 * distributed under the License is distributed on an "AS IS" BASIS, 14 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. 15 * See the License for the specific language governing permissions and 16 * limitations under the License. 17 */ 18 19 'use strict'; 20 21 // MODULES // 22 23 var isNonNegativeNumber = require( '@stdlib/assert/is-nonnegative-number' ).isPrimitive; 24 var sqrt = require( '@stdlib/math/base/special/sqrt' ); 25 26 27 // MAIN // 28 29 /** 30 * Returns an accumulator function which incrementally computes an exponentially weighted standard deviation. 31 * 32 * @param {NonNegativeNumber} alpha - smoothing factor 33 * @throws {TypeError} must provide a nonnegative number 34 * @throws {RangeError} must be on the interval `[0,1]` 35 * @returns {Function} accumulator function 36 * 37 * @example 38 * var accumulator = increwstdev( 0.5 ); 39 * 40 * var s = accumulator(); 41 * // returns null 42 * 43 * s = accumulator( 2.0 ); 44 * // returns 0.0 45 * 46 * s = accumulator( -5.0 ); 47 * // returns 3.5 48 * 49 * s = accumulator(); 50 * // returns 3.5 51 */ 52 function increwstdev( alpha ) { 53 var incr; 54 var s2; 55 var s; 56 var r; 57 var m; 58 var c; 59 if ( !isNonNegativeNumber( alpha ) ) { 60 throw new TypeError( 'invalid argument. Must provide a nonnegative number. Value: `' + alpha + '`.' ); 61 } 62 if ( alpha < 0.0 || alpha > 1.0 ) { 63 throw new RangeError( 'invalid argument. Must provide a nonnegative number on the interval [0,1]. Value: `' + alpha + '`.' ); 64 } 65 c = 1.0 - alpha; 66 return accumulator; 67 68 /** 69 * If provided a value, the accumulator function returns an updated standard deviation. If not provided a value, the accumulator function returns the current standard deviation. 70 * 71 * @private 72 * @param {number} [x] - new value 73 * @returns {(number|null)} standard deviation or null 74 */ 75 function accumulator( x ) { 76 if ( arguments.length === 0 ) { 77 return ( s === void 0 ) ? null : s; 78 } 79 if ( s === void 0 ) { 80 m = x; 81 s2 = 0.0; 82 } else { 83 r = x - m; 84 incr = alpha * r; 85 m += incr; 86 s2 = c * ( s2+(r*incr) ); 87 } 88 s = sqrt( s2 ); 89 return s; 90 } 91 } 92 93 94 // EXPORTS // 95 96 module.exports = increwstdev;