main.js (1829B)
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 factory = require( './factory.js' ); 24 25 26 // MAIN // 27 28 /** 29 * Returns a pseudorandom number drawn from a Poisson distribution with parameter `lambda`. 30 * 31 * ## Method 32 * 33 * - When \\(\lambda < 30\\), use Knuth's method. 34 * - When \\(lambda \geq 30\\), use transformed rejection method as Knuth's method does not scale well with \\(\lambda\\). 35 * 36 * ## References 37 * 38 * - Knuth, Donald E. 1997. _The Art of Computer Programming, Volume 2 (3rd Ed.): Seminumerical Algorithms_. Boston, MA, USA: Addison-Wesley Longman Publishing Co., Inc. 39 * - Hörmann, W. 1993. "The transformed rejection method for generating Poisson random variables." _Insurance: Mathematics and Economics_ 12 (1): 39–45. doi:[10.1016/0167-6687(93)90997-4][@hormann:1993b]. 40 * 41 * [@hormann:1993b]: http://dx.doi.org/10.1016/0167-6687(93)90997-4 42 * 43 * 44 * @name poisson 45 * @type {PRNG} 46 * @param {PositiveNumber} lambda - mean 47 * @returns {NonNegativeInteger} pseudorandom number 48 * 49 * @example 50 * var v = poisson( 0.5 ); 51 * // returns <number> 52 * 53 * @example 54 * var v = poisson( 0.0 ); 55 * // returns NaN 56 * 57 * @example 58 * var v = poisson( NaN ); 59 * // returns NaN 60 */ 61 var poisson = factory(); 62 63 64 // EXPORTS // 65 66 module.exports = poisson;