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 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 | 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 3016x 3016x 3016x 3016x 3016x 3016x 3016x 3011x 3016x 10x 10x 3016x 2x 2x 3016x 3x 3x 3001x 3001x 3001x 3016x 2x 2x 2x 2x 2x | /**
* @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 isnan = require( '@stdlib/math/base/assert/is-nan' );
var abs = require( '@stdlib/math/base/special/abs' );
var exp = require( '@stdlib/math/base/special/exp' );
var pow = require( '@stdlib/math/base/special/pow' );
var NINF = require( '@stdlib/constants/float64/ninf' );
var PINF = require( '@stdlib/constants/float64/pinf' );
// MAIN //
/**
* Evaluates the probability density function (PDF) for a logistic distribution with location parameter `mu` and scale parameter `s` at a value `x`.
*
* @param {number} x - input value
* @param {number} mu - location parameter
* @param {NonNegativeNumber} s - scale parameter
* @returns {number} evaluated PDF
*
* @example
* var y = pdf( 2.0, 0.0, 1.0 );
* // returns ~0.105
*
* @example
* var y = pdf( -1.0, 4.0, 2.0 );
* // returns ~0.035
*
* @example
* var y = pdf( NaN, 0.0, 1.0 );
* // returns NaN
*
* @example
* var y = pdf( 0.0, NaN, 1.0 );
* // returns NaN
*
* @example
* var y = pdf( 0.0, 0.0, NaN );
* // returns NaN
*
* @example
* // Negative scale parameter:
* var y = pdf( 2.0, 0.0, -1.0 );
* // returns NaN
*
* @example
* var y = pdf( 2.0, 8.0, 0.0 );
* // returns 0.0
*
* @example
* var y = pdf( 8.0, 8.0, 0.0 );
* // returns Infinity
*/
function pdf( x, mu, s ) {
var ez;
var z;
if (
isnan( x ) ||
isnan( mu ) ||
isnan( s ) ||
s < 0.0
) {
return NaN;
}
if ( x === NINF ) {
return 0.0;
}
if ( s === 0.0 ) {
return ( x === mu ) ? PINF : 0.0;
}
z = abs( ( x - mu ) / s );
ez = exp( -z );
return ez / ( s * pow( 1.0 + ez, 2.0 ) );
}
// EXPORTS //
module.exports = pdf;
|