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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.
*/
/* eslint-disable no-restricted-syntax, no-invalid-this */
'use strict';
// MODULES //
var defineProperty = require( '@stdlib/utils/define-property' );
var setReadOnly = require( '@stdlib/utils/define-nonenumerable-read-only-property' );
var setReadOnlyAccessor = require( '@stdlib/utils/define-nonenumerable-read-only-accessor' );
var isNumber = require( '@stdlib/assert/is-number' ).isPrimitive;
var isnan = require( '@stdlib/math/base/assert/is-nan' );
var entropy = require( '@stdlib/stats/base/dists/arcsine/entropy' );
var kurtosis = require( '@stdlib/stats/base/dists/arcsine/kurtosis' );
var mean = require( '@stdlib/stats/base/dists/arcsine/mean' );
var median = require( '@stdlib/stats/base/dists/arcsine/median' );
var mode = require( '@stdlib/stats/base/dists/arcsine/mode' );
var skewness = require( '@stdlib/stats/base/dists/arcsine/skewness' );
var stdev = require( '@stdlib/stats/base/dists/arcsine/stdev' );
var variance = require( '@stdlib/stats/base/dists/arcsine/variance' );
var cdf = require( '@stdlib/stats/base/dists/arcsine/cdf' );
var logcdf = require( '@stdlib/stats/base/dists/arcsine/logcdf' );
var logpdf = require( '@stdlib/stats/base/dists/arcsine/logpdf' );
var pdf = require( '@stdlib/stats/base/dists/arcsine/pdf' );
var quantile = require( '@stdlib/stats/base/dists/arcsine/quantile' );
var format = require( '@stdlib/string/format' );
// FUNCTIONS //
/**
* Evaluates the cumulative distribution function (CDF).
*
* @private
* @param {number} x - input value
* @returns {Probability} evaluated CDF
*/
function arcsineCDF( x ) {
return cdf( x, this.a, this.b );
}
/**
* Evaluates the natural logarithm of the cumulative distribution function (CDF).
*
* @private
* @param {number} x - input value
* @returns {number} evaluated logCDF
*/
function arcsineLogCDF( x ) {
return logcdf( x, this.a, this.b );
}
/**
* Evaluates the natural logarithm of the probability density function (logPDF).
*
* @private
* @param {number} x - input value
* @returns {number} evaluated logPDF
*/
function arcsineLogPDF( x ) {
return logpdf( x, this.a, this.b );
}
/**
* Evaluates the probability density function (PDF).
*
* @private
* @param {number} x - input value
* @returns {number} evaluated PDF
*/
function arcsinePDF( x ) {
return pdf( x, this.a, this.b );
}
/**
* Evaluates the quantile function.
*
* @private
* @param {Probability} p - input probability
* @returns {number} evaluated quantile function
*/
function arcsineQuantile( p ) {
return quantile( p, this.a, this.b );
}
// MAIN //
/**
* Arcsine distribution constructor.
*
* @constructor
* @param {number} [a=0.0] - minimum support
* @param {number} [b=1.0] - maximum support
* @throws {TypeError} `a` must be a number
* @throws {TypeError} `b` must be a number
* @throws {RangeError} `a` must be less than `b`
* @returns {Arcsine} distribution instance
*
* @example
* var arcsine = new Arcsine( 0.0, 1.0 );
*
* var y = arcsine.cdf( 0.8 );
* // returns ~0.705
*
* var mu = arcsine.mean;
* // returns 0.5
*/
function Arcsine() {
var a;
var b;
if ( !(this instanceof Arcsine) ) {
if ( arguments.length === 0 ) {
return new Arcsine();
}
return new Arcsine( arguments[ 0 ], arguments[ 1 ] );
}
if ( arguments.length ) {
a = arguments[ 0 ];
b = arguments[ 1 ];
if ( !isNumber( a ) || isnan( a ) ) {
throw new TypeError( format( 'invalid argument. Minimum support must be a number. Value: `%s`.', a ) );
}
if ( !isNumber( b ) || isnan( b ) ) {
throw new TypeError( format( 'invalid argument. Maximum support must be a number. Value: `%s`.', b ) );
}
if ( a >= b ) {
throw new RangeError( format( 'invalid arguments. Minimum support must be less than maximum support. Value: `(%f, %f)`.', a, b ) );
}
} else {
a = 0.0;
b = 1.0;
}
defineProperty( this, 'a', {
'configurable': false,
'enumerable': true,
'get': function get() {
return a;
},
'set': function set( value ) {
if ( !isNumber( value ) || isnan( value ) ) {
throw new TypeError( format( 'invalid assignment. Must be a number. Value: `%s`.', value ) );
}
if ( value >= b ) {
throw new RangeError( format( 'invalid assignment. Must be less than %f. Value: `%f`.', b, value ) );
}
a = value;
}
});
defineProperty( this, 'b', {
'configurable': false,
'enumerable': true,
'get': function get() {
return b;
},
'set': function set( value ) {
if ( !isNumber( value ) || isnan( value ) ) {
throw new TypeError( format( 'invalid assignment. Must be a number. Value: `%s`.', value ) );
}
if ( value <= a ) {
throw new RangeError( format( 'invalid assignment. Must be greater than %f. Value: `%f`.', a, value ) );
}
b = value;
}
});
return this;
}
/**
* Arcsine distribution differential entropy.
*
* @name entropy
* @memberof Arcsine.prototype
* @type {number}
* @see [differential entropy]{@link https://en.wikipedia.org/wiki/Entropy_%28information_theory%29}
*
* @example
* var arcsine = new Arcsine( 4.0, 12.0 );
*
* var v = arcsine.entropy;
* // returns ~1.838
*/
setReadOnlyAccessor( Arcsine.prototype, 'entropy', function get() {
return entropy( this.a, this.b );
});
/**
* Arcsine distribution excess kurtosis.
*
* @name kurtosis
* @memberof Arcsine.prototype
* @type {number}
* @see [kurtosis]{@link https://en.wikipedia.org/wiki/Kurtosis}
*
* @example
* var arcsine = new Arcsine( 4.0, 12.0 );
*
* var v = arcsine.kurtosis;
* // returns -1.5
*/
setReadOnlyAccessor( Arcsine.prototype, 'kurtosis', function get() {
return kurtosis( this.a, this.b );
});
/**
* Arcsine distribution expected value.
*
* @name mean
* @memberof Arcsine.prototype
* @type {number}
* @see [expected value]{@link https://en.wikipedia.org/wiki/Expected_value}
*
* @example
* var arcsine = new Arcsine( 4.0, 12.0 );
*
* var v = arcsine.mean;
* // returns 8.0
*/
setReadOnlyAccessor( Arcsine.prototype, 'mean', function get() {
return mean( this.a, this.b );
});
/**
* Arcsine distribution median.
*
* @name median
* @memberof Arcsine.prototype
* @type {number}
* @see [median]{@link https://en.wikipedia.org/wiki/Median}
*
* @example
* var arcsine = new Arcsine( 4.0, 12.0 );
*
* var v = arcsine.median;
* // returns 8.0
*/
setReadOnlyAccessor( Arcsine.prototype, 'median', function get() {
return median( this.a, this.b );
});
/**
* Arcsine distribution mode.
*
* @name mode
* @memberof Arcsine.prototype
* @type {number}
* @see [mode]{@link https://en.wikipedia.org/wiki/Mode_%28statistics%29}
*
* @example
* var arcsine = new Arcsine( 4.0, 12.0 );
*
* var v = arcsine.mode;
* // returns 4.0
*/
setReadOnlyAccessor( Arcsine.prototype, 'mode', function get() {
return mode( this.a, this.b );
});
/**
* Arcsine distribution skewness.
*
* @name skewness
* @memberof Arcsine.prototype
* @type {number}
* @see [skewness]{@link https://en.wikipedia.org/wiki/Skewness}
*
* @example
* var arcsine = new Arcsine( 4.0, 12.0 );
*
* var v = arcsine.skewness;
* // returns 0.0
*/
setReadOnlyAccessor( Arcsine.prototype, 'skewness', function get() {
return skewness( this.a, this.b );
});
/**
* Arcsine distribution standard deviation.
*
* @name stdev
* @memberof Arcsine.prototype
* @type {number}
* @see [standard deviation]{@link https://en.wikipedia.org/wiki/Standard_deviation}
*
* @example
* var arcsine = new Arcsine( 4.0, 12.0 );
*
* var v = arcsine.stdev;
* // returns ~2.828
*/
setReadOnlyAccessor( Arcsine.prototype, 'stdev', function get() {
return stdev( this.a, this.b );
});
/**
* Arcsine distribution variance.
*
* @name variance
* @memberof Arcsine.prototype
* @type {number}
* @see [variance]{@link https://en.wikipedia.org/wiki/Variance}
*
* @example
* var arcsine = new Arcsine( 4.0, 12.0 );
*
* var v = arcsine.variance;
* // returns 8.0
*/
setReadOnlyAccessor( Arcsine.prototype, 'variance', function get() {
return variance( this.a, this.b );
});
/**
* Evaluates the cumulative distribution function (CDF).
*
* @name cdf
* @memberof Arcsine.prototype
* @type {Function}
* @param {number} x - input value
* @returns {number} evaluated CDF
* @see [cdf]{@link https://en.wikipedia.org/wiki/Cumulative_distribution_function}
*
* @example
* var arcsine = new Arcsine( 2.0, 4.0 );
*
* var v = arcsine.cdf( 3.0 );
* // returns ~0.5
*/
setReadOnly( Arcsine.prototype, 'cdf', arcsineCDF );
/**
* Evaluates the natural logarithm of the cumulative distribution function (CDF).
*
* @name logcdf
* @memberof Arcsine.prototype
* @type {Function}
* @param {number} x - input value
* @returns {number} evaluated logCDF
* @see [cdf]{@link https://en.wikipedia.org/wiki/Cumulative_distribution_function}
*
* @example
* var arcsine = new Arcsine( 2.0, 4.0 );
*
* var v = arcsine.logcdf( 3.0 );
* // returns ~-0.693
*/
setReadOnly( Arcsine.prototype, 'logcdf', arcsineLogCDF );
/**
* Evaluates the natural logarithm of the probability density function (logPDF).
*
* @name logpdf
* @memberof Arcsine.prototype
* @type {Function}
* @param {number} x - input value
* @returns {number} evaluated logPDF
* @see [pdf]{@link https://en.wikipedia.org/wiki/Probability_density_function}
*
* @example
* var arcsine = new Arcsine( 2.0, 4.0 );
*
* var v = arcsine.logpdf( 2.5 );
* // returns ~-1.0
*/
setReadOnly( Arcsine.prototype, 'logpdf', arcsineLogPDF );
/**
* Evaluates the probability density function (PDF).
*
* @name pdf
* @memberof Arcsine.prototype
* @type {Function}
* @param {number} x - input value
* @returns {number} evaluated PDF
* @see [pdf]{@link https://en.wikipedia.org/wiki/Probability_density_function}
*
* @example
* var arcsine = new Arcsine( 2.0, 4.0 );
*
* var v = arcsine.pdf( 2.4 );
* // returns ~0.398
*/
setReadOnly( Arcsine.prototype, 'pdf', arcsinePDF );
/**
* Evaluates the quantile function.
*
* @name quantile
* @memberof Arcsine.prototype
* @type {Function}
* @param {Probability} p - input probability
* @returns {number} evaluated quantile function
* @see [quantile function]{@link https://en.wikipedia.org/wiki/Quantile_function}
*
* @example
* var arcsine = new Arcsine( 2.0, 4.0 );
*
* var v = arcsine.quantile( 0.5 );
* // returns 3.0
*/
setReadOnly( Arcsine.prototype, 'quantile', arcsineQuantile );
// EXPORTS //
module.exports = Arcsine;
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