main.js (3388B)
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 isPositiveInteger = require( '@stdlib/assert/is-positive-integer' ).isPrimitive; 24 var isNumber = require( '@stdlib/assert/is-number' ).isPrimitive; 25 var incrmpcorr = require( './../../../incr/mpcorr' ); 26 27 28 // MAIN // 29 30 /** 31 * Returns an accumulator function which incrementally computes a moving sample Pearson product-moment correlation distance. 32 * 33 * ## Method 34 * 35 * - The sample Pearson product-moment correlation distance is defined as 36 * 37 * ```tex 38 * d_{n} = 1 - r_{n} = 1 - \frac{\operatorname{cov}_n(x,y)}{\sigma_{x,n} \sigma_{y,n}} 39 * ``` 40 * 41 * - The implementation thus computes the sample Pearson product-moment correlation coefficient \\(r_n\\) for each window \\(n\\) and subtracts the coefficient from 1. 42 * 43 * 44 * @param {PositiveInteger} W - window size 45 * @param {number} [meanx] - mean value 46 * @param {number} [meany] - mean value 47 * @throws {TypeError} first argument must be a positive integer 48 * @throws {TypeError} second argument must be a number primitive 49 * @throws {TypeError} third argument must be a number primitive 50 * @returns {Function} accumulator function 51 * 52 * @example 53 * var accumulator = incrmpcorrdist( 3 ); 54 * 55 * var d = accumulator(); 56 * // returns null 57 * 58 * d = accumulator( 2.0, 1.0 ); 59 * // returns 1.0 60 * 61 * d = accumulator( -5.0, 3.14 ); 62 * // returns ~2.0 63 * 64 * d = accumulator( 3.0, -1.0 ); 65 * // returns ~1.925 66 * 67 * d = accumulator( 5.0, -9.5 ); 68 * // returns ~1.863 69 * 70 * d = accumulator(); 71 * // returns ~1.863 72 * 73 * @example 74 * var accumulator = incrmpcorrdist( 3, -2.0, 10.0 ); 75 */ 76 function incrmpcorrdist( W, meanx, meany ) { 77 var pcorr; 78 if ( !isPositiveInteger( W ) ) { 79 throw new TypeError( 'invalid argument. First argument must be a positive integer. Value: `' + W + '`.' ); 80 } 81 if ( arguments.length > 1 ) { 82 if ( !isNumber( meanx ) ) { 83 throw new TypeError( 'invalid argument. Second argument must be a number primitive. Value: `' + meanx + '`.' ); 84 } 85 if ( !isNumber( meany ) ) { 86 throw new TypeError( 'invalid argument. Third argument must be a number primitive. Value: `' + meany + '`.' ); 87 } 88 pcorr = incrmpcorr( W, meanx, meany ); 89 } else { 90 pcorr = incrmpcorr( W ); 91 } 92 return accumulator; 93 94 /** 95 * If provided a value, the accumulator function returns an updated sample correlation distance. If not provided a value, the accumulator function returns the current sample correlation distance. 96 * 97 * @private 98 * @param {number} [x] - input value 99 * @param {number} [y] - input value 100 * @returns {(number|null)} sample correlation distance or null 101 */ 102 function accumulator( x, y ) { 103 var r; 104 if ( arguments.length === 0 ) { 105 r = pcorr(); 106 if ( r === null ) { 107 return r; 108 } 109 return 1.0 - r; 110 } 111 return 1.0 - pcorr( x, y ); 112 } 113 } 114 115 116 // EXPORTS // 117 118 module.exports = incrmpcorrdist;