text: /**
  * @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 setReadOnly = require( '@stdlib/utils/define-read-only-property' );
  var isNumberArray = require( '@stdlib/assert/is-number-array' );
  var isNonNegativeInteger = require( '@stdlib/assert/is-nonnegative-integer' );
  var betaQuantile = require( '@stdlib/stats/base/dists/beta/quantile' );
  var floor = require( '@stdlib/math/base/special/floor' );
  var ceil = require( '@stdlib/math/base/special/ceil' );
  var binomialCDF = require( '@stdlib/stats/base/dists/binomial/cdf' );
  var binomialPMF = require( '@stdlib/stats/base/dists/binomial/pmf' );
  var validate = require( './validate.js' );
  var print = require( './print.js' ); // eslint-disable-line stdlib/no-redeclare
  
  
  // VARIABLES //
  
  var RELATIVE_ERROR = 1+1e-07;
  
  
  // FUNCTIONS //
  
  /**
  * Calculates the lower endpoint of a confidence interval.
  *
  * @private
  * @param {NonNegativeInteger} x - number of successes
  * @param {NonNegativeInteger} n - total number of observations
  * @param {number} alpha - significance level
  * @returns {number} lower endpoint
  */
  function lower( x, n, alpha ) {
  	return ( x === 0 ) ? 0 : betaQuantile( alpha, x, n - x + 1 );
  }
  
  /**
  * Calculates the upper endpoint of a confidence interval.
  *
  * @private
  * @param {NonNegativeInteger} x - number of successes
  * @param {NonNegativeInteger} n - total number of observations
  * @param {number} alpha - significance level
  * @returns {number} upper endpoint
  */
  function upper( x, n, alpha ) {
  	return ( x === n ) ? 1 : betaQuantile( 1 - alpha, x + 1, n - x );
  }
  
  
  // MAIN //
  
  /**
  * Computes an exact test for the success probability in a Bernoulli experiment.
  *
  * @param {(NonNegativeInteger|Array)} x - number of successes or two-element array with successes and failures
  * @param {NonNegativeInteger} [n] - total number of observations
  * @param {Options} [options] - function options
  * @param {number} [options.alpha=0.05] - significance level
  * @param {string} [options.alternative='two-sided'] - alternative hypothesis (`two-sided`, `less` or `greater`)
  * @param {Probability} [options.p=0.5] - success probability under H0
  * @throws {TypeError} options has to be simple object
  * @throws {TypeError} must provide valid options
  * @throws {RangeError} alpha option has to be a number in the interval `[0,1]`
  * @throws {TypeError} alternative option has to be a string primitive
  * @throws {Error} alternative option must be `two-sided`, `less` or `greater`
  * @returns {Object} test results
  */
  function binomialTest() {
  	var alpha;
  	var opts;
  	var cint;
  	var pval;
  	var stat;
  	var alt;
  	var err;
  	var out;
  	var d;
  	var m;
  	var n;
  	var p;
  	var x;
  	var y;
  	var i;
  
  	opts = {};
  	if ( isNumberArray( arguments[ 0 ] ) ) {
  		x = arguments[ 0 ];
  		if ( x.length !== 2 ) {
  			throw new Error( 'invalid argument. If provided an array, it must have two elements. Value: `' + x + '`.' );
  		}
  		n = x[ 1 ] + x[ 0 ];
  		x = x[ 0 ];
  		if ( arguments[ 1 ] ) {
  			err = validate( opts, arguments[ 1 ] );
  		}
  	} else {
  		x = arguments[ 0 ];
  		n = arguments[ 1 ];
  		if ( !isNonNegativeInteger( x ) ) {
  			throw new TypeError( 'invalid argument. Must provide a non-negative integer or a two-element array. Value: `' + x + '`.' );
  		}
  		if ( !isNonNegativeInteger( n ) ) {
  			throw new TypeError( 'invalid argument. Must provide a non-negative integer. Value: `' + n + '`.' );
  		}
  		if ( x > n ) {
  			throw new TypeError( 'invalid arguments. `x` cannot be larger than `n`. `x:' + x + ', n:' + n + '`.' );
  		}
  		if ( arguments[ 2 ] ) {
  			err = validate( opts, arguments[ 2 ] );
  		}
  	}
  	if ( err ) {
  		throw err;
  	}
  
  	if ( opts.alpha === void 0 ) {
  		alpha = 0.05;
  	} else {
  		alpha = opts.alpha;
  	}
  	if ( alpha < 0.0 || alpha > 1.0 ) {
  		throw new RangeError( 'invalid argument. Option `alpha` must be a number in the range 0 to 1. Value: `' + alpha + '`.' );
  	}
  	if ( opts.p === void 0 ) {
  		p = 0.5;
  	} else {
  		p = opts.p;
  	}
  	if ( p < 0.0 || p > 1.0 ) {
  		throw new RangeError( 'invalid argument. Option `p` must be a probability. Value: `' + p + '`.' );
  	}
  
  	alt = opts.alternative || 'two-sided';
  	stat = x / n;
  	switch ( alt ) {
  	case 'less':
  		pval = binomialCDF( x, n, p );
  		cint = [ 0.0, upper( x, n, alpha ) ];
  		break;
  	case 'greater':
  		pval = 1.0 - binomialCDF( x - 1, n, p );
  		cint = [ lower( x, n, alpha ), 1.0 ];
  		break;
  	case 'two-sided':
  		d = binomialPMF( x, n, p );
  		m = n * p;
  		if ( x === m ) {
  			pval = 1;
  		} else if ( x < m ) {
  			y = 0;
  			for ( i = ceil( m ); i <= n; i++ ) {
  				if ( binomialPMF( i, n, p ) <= d * RELATIVE_ERROR ) {
  					y += 1;
  				}
  			}
  			pval = binomialCDF(x, n, p) + ( 1 - binomialCDF(n - y, n, p ) );
  		} else {
  			y = 0;
  			for ( i = 0; i <= floor( m ); i++ ) {
  				if ( binomialPMF( i, n, p ) <= d * RELATIVE_ERROR ) {
  					y += 1;
  				}
  			}
  			pval = binomialCDF( y-1, n, p ) + ( 1 - binomialCDF( x-1, n, p ) );
  		}
  		cint = [ lower( x, n, alpha/2.0 ), upper( x, n, alpha/2.0 ) ];
  		break;
  	default:
  		throw new Error( 'Invalid option. `alternative` must be either `two-sided`, `less` or `greater`. Value: `' + alt + '`' );
  	}
  
  	out = {};
  	setReadOnly( out, 'rejected', pval <= alpha );
  	setReadOnly( out, 'alpha', alpha );
  	setReadOnly( out, 'pValue', pval );
  	setReadOnly( out, 'statistic', stat );
  	setReadOnly( out, 'ci', cint );
  	setReadOnly( out, 'nullValue', p );
  	setReadOnly( out, 'alternative', alt );
  	setReadOnly( out, 'method', 'Exact binomial test' );
  	setReadOnly( out, 'print', print );
  	return out;
  }
  
  
  // EXPORTS //
  
  module.exports = binomialTest;
  