/**
* @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 floor = require( '@stdlib/math/base/special/floor' );


// MAIN //

/**
* Converts a nonnegative integer to a literal bit representation using the divide-by-2 algorithm.
*
* @private
* @param {number} x - nonnegative integer
* @returns {BinaryString} bit representation
*
* @example
* var v = div2( 3 );
* // returns '11'
*
* @example
* var v = div2( 0 );
* // returns ''
*
* @example
* var v = div2( 12 );
* // returns '1100'
*
* @example
* var v = div2( 188 );
* // returns '10111100'
*/
function div2( x ) {
	var str = '';
	var y;

	// We repeatedly divide by 2 and check for a remainder. If a remainder exists, the number is odd and we add a '1' bit...
	while ( x > 0 ) {
		y = x / 2;
		x = floor( y );
		if ( y === x ) {
			str = '0' + str;
		} else {
			str = '1' + str;
		}
	}
	return str;
}


// EXPORTS //

module.exports = div2;
