feat: add lapack/base/dlapy2

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Author: aayush0325

lib/node_modules/@stdlib/lapack/base/dlapy2/lib/index.js

@@ -0,0 +1,40 @@
+/**
+* @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';
+
+/**
+* LAPACK routine to calculate sqrt( x^2 + y^2 ) in a manner which doesn't cause unnecessary overflow.
+*
+* @module @stdlib/lapack/base/dlapy2
+*
+* @example
+* var dlapy2 = require( '@stdlib/lapack/base/dlapy2' );
+*
+* var out = dlapy2( 3.0, 4.0 );
+* // returns 5
+*/
+
+// MODULES //
+
+var main = require( './main.js' );
+
+
+// EXPORTS //
+
+module.exports = main;

lib/node_modules/@stdlib/lapack/base/dlapy2/lib/main.js

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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 ) {
+	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;