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 | 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 2008x 2008x 4x 4x 2008x 3x 3x 2008x 1x 1x 2000x 2008x 2x 2x 2x 2x 2x | /**
* @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 floor = require( '@stdlib/math/base/special/floor' );
var expm1 = require( '@stdlib/math/base/special/expm1' );
var ln = require( '@stdlib/math/base/special/ln' );
var NINF = require( '@stdlib/constants/float64/ninf' );
var PINF = require( '@stdlib/constants/float64/pinf' );
// MAIN //
/**
* Evaluates the logarithm of the cumulative distribution function (CDF) for a Planck distribution with shape parameter `lambda` at a value `x`.
*
* @param {number} x - input value
* @param {PositiveNumber} lambda - shape parameter
* @returns {number} evaluated logCDF
*
* @example
* var y = logcdf( 2.0, 0.5 );
* // returns ~-0.2525
*
* @example
* var y = logcdf( 2.0, 1.5 );
* // returns ~-0.0112
*
* @example
* var y = logcdf( -1.0, 0.5 );
* // returns -Infinity
*
* @example
* var y = logcdf( NaN, 0.5 );
* // returns NaN
*
* @example
* var y = logcdf( 0.0, NaN );
* // returns NaN
*
* @example
* // Invalid shape parameter
* var y = logcdf( 2.0, -1.4 );
* // returns NaN
*/
function logcdf( x, lambda ) {
if ( isnan( x ) || isnan( lambda ) || lambda <= 0.0 ) {
return NaN;
}
if ( x < 0.0 ) {
return NINF;
}
if ( x === PINF ) {
return 0.0;
}
return ln( -expm1( -lambda * ( floor(x)+1.0 ) ) );
}
// EXPORTS //
module.exports = logcdf;
|