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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';
// VARIABLES //
// Set the second most significant bit: 00100000000000000000000000000000 => 1<<30 = 1073741824
var BIT = 1073741824 >>> 0; // asm type annotation
// MAIN //
/**
* Returns an integer square root.
*
* @param {uinteger32} x - input value
* @returns {uinteger32} integer square root
*
* @example
* var v = sqrt( 9 >>> 0 );
* // returns 3
*
* @example
* var v = sqrt( 2 >>> 0 );
* // returns 1
*
* @example
* var v = sqrt( 3 >>> 0 );
* // returns 1
*
* @example
* var v = sqrt( 0 >>> 0 );
* // returns 0
*/
function sqrt( x ) {
var root;
var bit;
var sum;
var y;
y = x >>> 0; // asm type annotation
root = 0 >>> 0; // asm type annotation
bit = BIT;
// `bit` should start as the highest power of `4` less than or equal to `x`:
while ( bit > y ) {
bit >>>= 2;
}
// Perform a digit-by-digit/abacus computation...
while ( bit !== 0 ) {
sum = ( root + bit ) >>> 0; // asm type annotation
root >>>= 1;
if ( x >= sum ) {
x -= sum;
root += bit;
}
bit >>>= 2;
}
// Note: `x` is the remainder
return root >>> 0; // asm type annotation
}
// EXPORTS //
module.exports = sqrt;
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