All files correction.js

100% Statements 79/79
100% Branches 13/13
100% Functions 1/1
100% Lines 79/79

Press n or j to go to the next uncovered block, b, p or k for the previous block.

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 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 803x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 2159x 2159x 2159x 2159x 1x 2159x 1x 2159x 1x 2159x 1x 2159x 1x 2159x 1x 2159x 1x 2159x 1x 2159x 1x 2159x 2x 2159x 2148x 2148x 2148x 2159x 2159x 3x 3x 3x 3x 3x  
/**
* @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' );
 
 
// VARIABLES //
 
var ONE_12 = 1.0 / 12.0;
var ONE_360 = 1.0 / 360.0;
var ONE_1260 = 1.0 / 1260.0;
 
 
// MAIN //
 
/**
* Returns a correction for Stirling's approximation.
*
* @private
* @param {NonNegativeInteger} k - input argument
* @returns {number} correction term
*
* @example
* var c = correction( 0 );
* // returns 0.08106146679532726
*/
function correction( k ) {
	var v;
	switch ( k ) {
	case 0:
		return 0.08106146679532726;
	case 1:
		return 0.04134069595540929;
	case 2:
		return 0.02767792568499834;
	case 3:
		return 0.02079067210376509;
	case 4:
		return 0.01664469118982119;
	case 5:
		return 0.01387612882307075;
	case 6:
		return 0.01189670994589177;
	case 7:
		return 0.01041126526197209;
	case 8:
		return 0.009255462182712733;
	case 9:
		return 0.008330563433362871;
	default:
		k += 1;
		v = pow( k, 2 );
		return (ONE_12 - ((ONE_360 - (ONE_1260/v)) / v)) / k;
	}
}
 
 
// EXPORTS //
 
module.exports = correction;