@stdlib/stats/base/dists/laplace/pdf/lib/factory.js

Standard library statistical functions.

/**
* @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 constantFunction = require( '@stdlib/utils/constant-function' );
var isnan = require( '@stdlib/math/base/assert/is-nan' );
var abs = require( '@stdlib/math/base/special/abs' );
var exp = require( '@stdlib/math/base/special/exp' );


// MAIN //

/**
* Returns a function for evaluating the probability density function (PDF) for a Laplace distribution with location parameter `mu` and scale parameter `b`.
*
* @param {number} mu - location parameter
* @param {PositiveNumber} b - scale parameter
* @returns {Function} PDF
*
* @example
* var pdf = factory( 10.0, 2.0 );
*
* var y = pdf( 10.0 );
* // returns 0.25
*
* y = pdf( 5.0 );
* // returns ~0.021
*
* y = pdf( 12.0 );
* // returns ~0.092
*/
function factory( mu, b ) {
	if (
		isnan( mu ) ||
		isnan( b ) ||
		b <= 0.0
	) {
		return constantFunction( NaN );
	}
	return pdf;

	/**
	* Evaluates the probability density function (PDF) for a Laplace distribution.
	*
	* @private
	* @param {number} x - input value
	* @returns {number} evaluated PDF
	*
	* var y = pdf( -3.14 );
	* // returns <number>
	*/
	function pdf( x ) {
		var z;
		if ( isnan( x ) ) {
			return NaN;
		}
		z = ( x - mu ) / b;
		return 0.5 * exp( -abs( z ) ) / b;
	}
}


// EXPORTS //

module.exports = factory;