All files / complex/float32/base/mul-add/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 Complex64 = require( '@stdlib/complex/float32/ctor' );
var realf = require( '@stdlib/complex/float32/real' );
var imagf = require( '@stdlib/complex/float32/imag' );
var float64ToFloat32 = require( '@stdlib/number/float64/base/to-float32' );
 
 
// MAIN //
 
/**
* Performs a multiply-add operation involving three single-precision complex floating-point numbers.
*
* @param {Complex64} alpha - complex number
* @param {Complex64} x - complex number
* @param {Complex64} y - complex number
* @returns {Complex64} result
*
* @example
* var Complex64 = require( '@stdlib/complex/float32/ctor' );
* var realf = require( '@stdlib/complex/float32/real' );
* var imagf = require( '@stdlib/complex/float32/imag' );
*
* var z1 = new Complex64( 5.0, 3.0 );
* // returns <Complex64>
*
* var z2 = new Complex64( -2.0, 1.0 );
* // returns <Complex64>
*
* var z3 = new Complex64( 7.0, -8.0 );
* // returns <Complex64>
*
* var out = muladd( z1, z2, z3 );
* // returns <Complex64>
*
* var re = realf( out );
* // returns -6.0
*
* var im = imagf( out );
* // returns -9.0
*/
function muladd( alpha, x, y ) {
	var re0 = realf( alpha );
	var im0 = imagf( alpha );
	var re1 = realf( x );
	var im1 = imagf( x );
	var re2 = realf( y );
	var im2 = imagf( y );
	var re = float64ToFloat32( float64ToFloat32(re0*re1) - float64ToFloat32(im0*im1) + re2 );
	var im = float64ToFloat32( float64ToFloat32(re0*im1) + float64ToFloat32(im0*re1) + im2 );
	return new Complex64( re, im );
}
 
 
// EXPORTS //
 
module.exports = muladd;