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 | 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 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) 2025 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 log1p = require( '@stdlib/math/base/special/log1p' );
// MAIN //
/**
* Returns the cumulative distribution function (CDF) for a Bradford distribution with shape parameter `c` at a value `x`.
*
* @param {number} x - input value
* @param {PositiveNumber} c - shape parameter
* @returns {Probability} evaluated CDF
*
* @example
* var v = cdf( 0.1, 0.1 );
* // returns ~0.104
*
* @example
* var v = cdf( 0.5, 5.0 );
* // returns ~0.699
*
* @example
* var v = cdf( 1.0, 10.0 );
* // returns 1.0
*
* @example
* var v = cdf( -1.0, 0.5 );
* // returns 0.0
*
* @example
* var v = cdf( 2.0, 0.5 );
* // returns 1.0
*
* @example
* var v = cdf( 0.5, 0.0 );
* // returns NaN
*
* @example
* var v = cdf( 0.5, -5.0 );
* // returns NaN
*
* @example
* var v = cdf( NaN, 1.0 );
* // returns NaN
*
* @example
* var v = cdf( 1.0, NaN );
* // returns NaN
*/
function cdf( x, c ) {
if ( isnan( c ) || isnan( x ) || c <= 0.0 ) {
return NaN;
}
if ( x <= 0.0 ) {
return 0.0;
}
if ( x >= 1.0 ) {
return 1.0;
}
return log1p( c * x ) / log1p( c );
}
// EXPORTS //
module.exports = cdf;
|