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| 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 | 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x 1x | /**
* @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 exp = require( '@stdlib/math/base/special/exp' );
var gamma = require( '@stdlib/math/base/special/gamma' );
var ln = require( '@stdlib/math/base/special/ln' );
var FLOAT32_MAX = require( '@stdlib/constants/float32/max' );
var SQRT_TWO_PI = require( '@stdlib/constants/float64/sqrt-two-pi' );
var stirling = require( './stirling.js' );
// MAIN //
/**
* Computes the regulated gamma function.
*
* @private
* @param {number} x - input value
* @returns {number} function value
*/
function gamstar( x ) {
if ( x >= 3.0 ) {
return exp( stirling(x) );
}
if ( x > 0.0 ) {
return gamma(x) / ( exp( -x + ( ( x-0.5 ) * ln(x) ) ) * SQRT_TWO_PI );
}
// Case: x <= 0.0
return FLOAT32_MAX;
}
// EXPORTS //
module.exports = gamstar;
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