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


// MAIN //

/**
* Returns a pseudorandom number drawn from a Fréchet distribution with shape `alpha`, scale `s`, and location `m`.
*
* @private
* @param {PRNG} rand - PRNG for uniformly distributed numbers
* @param {PositiveNumber} alpha - shape parameter
* @param {PositiveNumber} s - scale parameter
* @param {number} m - location parameter
* @returns {number} pseudorandom number
*/
function frechet( rand, alpha, s, m ) {
	return m + ( s * ( pow( -ln( rand() ), -1.0/alpha ) ) );
}


// EXPORTS //

module.exports = frechet;