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* @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 constantFunction = require( '@stdlib/utils/constant-function' );
var isInteger = require( '@stdlib/math/base/assert/is-integer' );
var isnan = require( '@stdlib/math/base/assert/is-nan' );
var ceil = require( '@stdlib/math/base/special/ceil' );
// MAIN //
/**
* Returns a function for evaluating the quantile function for a discrete uniform distribution with minimum support `a` and maximum support `b`.
*
* @param {integer} a - minimum support
* @param {integer} b - maximum support
* @returns {Function} quantile function
*
* @example
* var quantile = factory( 2, 4 );
* var y = quantile( 0.4 );
* // returns 3
*
* y = quantile( 0.8 );
* // returns 4
*/
function factory( a, b ) {
var n;
if (
isnan( a ) ||
isnan( b ) ||
!isInteger( a ) ||
!isInteger( b ) ||
a > b
) {
return constantFunction( NaN );
}
n = b - a + 1;
return quantile;
/**
* Evaluates the quantile function for a discrete uniform distribution.
*
* @private
* @param {Probability} p - input value
* @returns {number} evaluated quantile function
*
* @example
* var y = quantile( 0.3 );
* // returns <number>
*/
function quantile( p ) {
var k;
if ( isnan( p ) || p < 0.0 || p > 1.0 ) {
return NaN;
}
if ( p === 0.0 ) {
return a;
}
k = ceil( p * n );
if ( ( k-1 ) / n >= p ) {
k -= 1;
}
return a + k - 1;
}
}
// EXPORTS //
module.exports = factory;
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