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* @license Apache-2.0
*
* Copyright (c) 2025 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 abs = require( '@stdlib/math/base/special/abs' );
var min = require( '@stdlib/math/base/special/min' );
var max = require( '@stdlib/math/base/special/max' );
var sqrt = require( '@stdlib/math/base/special/sqrt' );
var pow = require( '@stdlib/math/base/special/pow' );
// MAIN //
/**
* Returns sqrt( x^2 + y^2 ) in a manner which doesn't cause unnecessary overflow.
*
* @private
* @param {number} x - number of rows/columns of the elementary reflector `H`
* @param {number} y - number of rows/columns of the elementary reflector `H`
* @returns {integer} status code
*
* @example
* var out = dlapy2( 3.0, 4.0, );
* // returns 5
*/
function dlapy2( x, y ) {
// TODO - make a separate package for this
var xabs;
var yabs;
var w;
var z;
xabs = abs( x );
yabs = abs( y );
w = max( xabs, yabs );
z = min( xabs, yabs );
if ( z === 0.0 ) {
return w;
}
return w * ( sqrt( 1.0 + pow( z / w, 2.0 ) ) );
}
// EXPORTS //
module.exports = dlapy2;
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