/** * @license Apache-2.0 * * Copyright (c) 2018 The Stdlib Authors. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. * You may obtain a copy of the License at * * http://www.apache.org/licenses/LICENSE-2.0 * * Unless required by applicable law or agreed to in writing, software * distributed under the License is distributed on an "AS IS" BASIS, * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. * See the License for the specific language governing permissions and * limitations under the License. */ 'use strict'; // MODULES // var abs = require( '@stdlib/math/base/special/abs' ); var isnan = require( '@stdlib/assert/is-nan' ); var pow = require( '@stdlib/math/base/special/pow' ); // MAIN // /** * Computes the quartic kernel for a value. * * @private * @param {number} u - input value * @returns {number} kernel value at u * * @example * var u = 5; * var out = quartic(u); * // returns 0 */ function quartic( u ) { if ( isnan( u ) ) { return NaN; } if ( abs( u ) > 1.0 ) { return 0.0; } return ( 15.0 / 16.0 ) * pow( 1.0 - pow( u, 2.0 ), 2.0 ); } // EXPORTS // module.exports = quartic;