/**
* @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 ln = require( '@stdlib/math/base/special/ln' );


// MAIN //

/**
* Returns a pseudorandom number drawn from an Erlang distribution.
*
* @private
* @param {PRNG} rand - PRNG for generating uniformly distributed numbers
* @param {PositiveInteger} k - shape parameter
* @param {PositiveNumber} lambda - rate parameter
* @returns {number} pseudorandom number
*
* @example
* var v = erlang();
* // returns <number>
*/
function erlang( rand, k, lambda ) {
	var prod;
	var i;
	prod = 1.0;
	for ( i = 0; i < k; i++ ) {
		prod *= rand();
	}
	return -(1.0/lambda) * ln( prod );
}


// EXPORTS //

module.exports = erlang;