main.js (1504B)
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 SQRT2 = require( '@stdlib/constants/float64/sqrt-two' ); 24 var pow = require( './../../../../base/special/pow' ); 25 var normhermitepoly = require( './../../../../base/tools/normhermitepoly' ); 26 27 28 // MAIN // 29 30 /** 31 * Evaluates a physicist's Hermite polynomial. 32 * 33 * @param {NonNegativeInteger} n - nonnegative polynomial degree 34 * @param {number} x - evaluation point 35 * @returns {number} function value 36 * 37 * @example 38 * var v = hermitepoly( 1, 1.0 ); 39 * // returns 2.0 40 * 41 * @example 42 * var v = hermitepoly( 1, 0.5 ); 43 * // returns 1.0 44 * 45 * @example 46 * var v = hermitepoly( -1, 0.5 ); 47 * // returns NaN 48 * 49 * @example 50 * var v = hermitepoly( 0, 0.5 ); 51 * // returns 1.0 52 * 53 * @example 54 * var v = hermitepoly( 2, 0.5 ); 55 * // returns -1.0 56 */ 57 function hermitepoly( n, x ) { 58 return pow( 2.0, 0.5*n ) * normhermitepoly( n, SQRT2*x ); 59 } 60 61 62 // EXPORTS // 63 64 module.exports = hermitepoly;