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 | 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 2015x 2015x 6x 6x 2015x 2x 2x 2007x 2015x 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 ceil = require( '@stdlib/math/base/special/ceil' );
var log1p = require( '@stdlib/math/base/special/log1p' );
var max = require( '@stdlib/math/base/special/max' );
var PINF = require( '@stdlib/constants/float64/pinf' );
// MAIN //
/**
* Evaluates the quantile function for a Planck distribution with shape parameter `lambda` at a probability `p`.
*
* @param {Probability} p - input value
* @param {PositiveNumber} lambda - shape parameter
* @returns {number} evaluated quantile function
*
* @example
* var y = quantile( 0.8, 0.4 );
* // returns 4.0
*
* @example
* var y = quantile( 0.5, 1.4 );
* // returns 0.0
*
* @example
* var y = quantile( 0.9, 2.1 );
* // returns 1.0
*
* @example
* var y = quantile( 0.2, -0.1 );
* // returns NaN
*
* @example
* var y = quantile( NaN, 0.8 );
* // returns NaN
*
* @example
* var y = quantile( 0.4, NaN );
* // returns NaN
*
* @example
* var y = quantile( -0.5, 1.0 );
* // returns NaN
*
* @example
* var y = quantile( 1.5, 1.0 );
* // returns NaN
*/
function quantile( p, lambda ) {
if ( isnan( lambda ) || isnan( p ) || lambda <= 0.0 || p < 0.0 || p > 1.0 ) { // eslint-disable-line max-len
return NaN;
}
if ( p === 1.0 ) {
return PINF;
}
return max( 0.0, ceil( -log1p( -p ) / lambda ) - 1.0 );
}
// EXPORTS //
module.exports = quantile;
|