median.js (1375B)
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 ceil = require( '@stdlib/math/base/special/ceil' ); 25 var log2 = require( '@stdlib/math/base/special/log2' ); 26 27 28 // MAIN // 29 30 /** 31 * Returns the median of a geometric distribution. 32 * 33 * @param {Probability} p - success probability 34 * @returns {NonNegativeInteger} median 35 * 36 * @example 37 * var v = median( 0.1 ); 38 * // returns 6 39 * 40 * @example 41 * var v = median( 0.5 ); 42 * // returns 0 43 * 44 * @example 45 * var v = median( 1.1 ); 46 * // returns NaN 47 * 48 * @example 49 * var v = median( NaN ); 50 * // returns NaN 51 */ 52 function median( p ) { 53 if ( 54 isnan( p ) || 55 p < 0.0 || 56 p > 1.0 57 ) { 58 return NaN; 59 } 60 return ceil( -1.0 / ( log2( 1.0-p ) ) ) - 1.0; 61 } 62 63 64 // EXPORTS // 65 66 module.exports = median;