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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 base = require( './base.js' );
// MAIN //
/**
* Constructs a Givens rotation of a two-dimensional vector that zeros out the second component.
*
* For a two-dimensional vector ( f, g ) it computes the sine `S`, cosine `C` and the resultant `R` such that the following equation is satisfied:
*
* ```tex
* \(\begin{bmatrix} C & S \\ -S & C \end{bmatrix} \begin{bmatrix} F \\ G \end{bmatrix} = \begin{bmatrix} R \\ 0 \end{bmatrix}\)
* ```
*
* @param {Float64Array} F - single element array representing the first component of the vector to be rotated
* @param {NonNegativeInteger} offsetF - starting index for `F`
* @param {Float64Array} G - single element array representing the second component of the vector to be rotated
* @param {NonNegativeInteger} offsetG - starting index for `G`
* @param {Float64Array} C - single element array overwritten by the cosine of the rotation
* @param {NonNegativeInteger} offsetC - starting index for `C`
* @param {Float64Array} S - single element array overwritten by the sine of the rotation
* @param {NonNegativeInteger} offsetS - starting index for `S`
* @param {Float64Array} R - single element array overwritten by the length of the rotated vector
* @param {NonNegativeInteger} offsetR - starting index for `R`
* @returns {void}
*
* @example
* var Float64Array = require( '@stdlib/array/float64' );
*
* var F = new Float64Array( [ 3.0 ] );
* var G = new Float64Array( [ 4.0 ] );
* var C = new Float64Array( 1 );
* var S = new Float64Array( 1 );
* var R = new Float64Array( 1 );
*
* dlartg( F, 0, G, 0, C, 0, S, 0, R, 0 );
* // R => <Float64Array>[ 5.0 ]
* // C => <Float64Array>[ 0.6 ]
* // S => <Float64Array>[ 0.8 ]
*/
function dlartg( F, offsetF, G, offsetG, C, offsetC, S, offsetS, R, offsetR) {
base( F, offsetF, G, offsetG, C, offsetC, S, offsetS, R, offsetR );
}
// EXPORTS //
module.exports = dlartg;
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