median.js (1374B)
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 isnan = require( '@stdlib/math/base/assert/is-nan' ); 24 var floor = require( '@stdlib/math/base/special/floor' ); 25 26 27 // MAIN // 28 29 /** 30 * Returns the median of a Poisson distribution. 31 * 32 * @param {NonNegativeNumber} lambda - mean parameter 33 * @returns {NonNegativeInteger} median 34 * 35 * @example 36 * var v = median( 9.0 ); 37 * // returns 9 38 * 39 * @example 40 * var v = median( 1.0 ); 41 * // returns 1 42 * 43 * @example 44 * var v = median( -0.2 ); 45 * // returns NaN 46 * 47 * @example 48 * var v = median( NaN ); 49 * // returns NaN 50 */ 51 function median( lambda ) { 52 if ( isnan( lambda ) || lambda < 0.0 ) { 53 return NaN; 54 } 55 if ( lambda === 0.0 ) { 56 return 0.0; 57 } 58 return floor( lambda + ( 1.0/3.0 ) - ( 0.02/lambda ) ); 59 } 60 61 62 // EXPORTS // 63 64 module.exports = median;