main.js (1956B)
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 expm1 = require( './../../../../base/special/expm1' ); 24 var log1p = require( './../../../../base/special/log1p' ); 25 var abs = require( './../../../../base/special/abs' ); 26 var isnan = require( './../../../../base/assert/is-nan' ); 27 28 29 // MAIN // 30 31 /** 32 * Computes the inverse of a one-parameter Box-Cox transformation for `1+x`. 33 * 34 * @param {number} y - input value 35 * @param {number} lambda - power parameter 36 * @returns {number} inverse of the Box-Cox transformation 37 * 38 * @example 39 * var v = boxcox1pinv( 1.0, 2.5 ); 40 * // returns ~0.6505 41 * 42 * @example 43 * var v = boxcox1pinv( 4.0, 2.5 ); 44 * // returns ~1.6095 45 * 46 * @example 47 * var v = boxcox1pinv( 10.0, 2.5 ); 48 * // returns ~2.6812 49 * 50 * @example 51 * var v = boxcox1pinv( 2.0, 0.0 ); 52 * // returns ~6.3891 53 * 54 * @example 55 * var v = boxcox1pinv( -1.0, 2.5 ); 56 * // returns NaN 57 * 58 * @example 59 * var v = boxcox1pinv( 0.0, -1.0 ); 60 * // returns 0.0 61 * 62 * @example 63 * var v = boxcox1pinv( 1.0, NaN ); 64 * // returns NaN 65 * 66 * @example 67 * var v = boxcox1pinv( NaN, 3.1 ); 68 * // returns NaN 69 */ 70 function boxcox1pinv( y, lambda ) { 71 var ly; 72 if ( isnan( y ) || isnan( lambda ) ) { 73 return NaN; 74 } 75 if ( lambda === 0.0 ) { 76 return expm1( y ); 77 } 78 ly = lambda * y; 79 if ( abs( ly ) < 1.0e-154 ) { 80 return y; 81 } 82 return expm1( log1p( ly ) / lambda ); 83 } 84 85 86 // EXPORTS // 87 88 module.exports = boxcox1pinv;