complex-float64-base-mul-add

Perform a multiply-add operation involving three double-precision complex floating-point numbers.

https://github.com/stdlib-js/complex-float64-base-mul-add

Science Score: 44.0%

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Keywords

add addition arithmetic cmplx complex javascript math mathematics mul mult multiplication multiply node node-js nodejs number stdlib

Last synced: 4 months ago · JSON representation ·

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Perform a multiply-add operation involving three double-precision complex floating-point numbers.

Basic Info

Host: GitHub
Owner: stdlib-js
License: apache-2.0
Language: JavaScript
Default Branch: main
Homepage: https://github.com/stdlib-js/stdlib
Size: 342 KB

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add addition arithmetic cmplx complex javascript math mathematics mul mult multiplication multiply node node-js nodejs number stdlib

Created 12 months ago · Last pushed 5 months ago

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We believe in a future in which the web is a preferred environment for numerical computation. To help realize this future, we've built stdlib. stdlib is a standard library, with an emphasis on numerical and scientific computation, written in JavaScript (and C) for execution in browsers and in Node.js.

The library is fully decomposable, being architected in such a way that you can swap out and mix and match APIs and functionality to cater to your exact preferences and use cases.

When you use stdlib, you can be absolutely certain that you are using the most thorough, rigorous, well-written, studied, documented, tested, measured, and high-quality code out there.

To join us in bringing numerical computing to the web, get started by checking us out on GitHub, and please consider financially supporting stdlib. We greatly appreciate your continued support!

muladd

Perform a multiply-add operation involving three double-precision complex floating-point numbers.

## Installation ```bash npm install @stdlib/complex-float64-base-mul-add ``` Alternatively, - To load the package in a website via a `script` tag without installation and bundlers, use the [ES Module][es-module] available on the [`esm`][esm-url] branch (see [README][esm-readme]). - If you are using Deno, visit the [`deno`][deno-url] branch (see [README][deno-readme] for usage intructions). - For use in Observable, or in browser/node environments, use the [Universal Module Definition (UMD)][umd] build available on the [`umd`][umd-url] branch (see [README][umd-readme]). The [branches.md][branches-url] file summarizes the available branches and displays a diagram illustrating their relationships. To view installation and usage instructions specific to each branch build, be sure to explicitly navigate to the respective README files on each branch, as linked to above.

## Usage ```javascript var muladd = require( '@stdlib/complex-float64-base-mul-add' ); ``` #### muladd( alpha, x, y ) Performs a multiply-add operation involving three double-precision complex floating-point numbers. ```javascript var Complex128 = require( '@stdlib/complex-float64-ctor' ); var real = require( '@stdlib/complex-float64-real' ); var imag = require( '@stdlib/complex-float64-imag' ); var z1 = new Complex128( 5.0, 3.0 ); var z2 = new Complex128( -2.0, 1.0 ); var z3 = new Complex128( 7.0, -8.0 ); // Compute `alpha*x + y`: var v = muladd( z1, z2, z3 ); // returns [ -6.0, -9.0 ] ``` The function supports the following parameters: - **alpha**: first [complex number][@stdlib/complex/float64/ctor]. - **x**: second [complex number][@stdlib/complex/float64/ctor]. - **y**: third [complex number][@stdlib/complex/float64/ctor]. #### muladd.assign( ar, ai, xr, xi, yr, yi, out, strideOut, offsetOut ) Performs a multiply-add operation involving three double-precision complex floating-point numbers and assigns the results to an output strided array. ```javascript var Float64Array = require( '@stdlib/array-float64' ); var out = new Float64Array( 2 ); var v = muladd.assign( 5.0, 3.0, -2.0, 1.0, 7.0, -8.0, out, 1, 0 ); // returns [ -6.0, -9.0 ] var bool = ( out === v ); // returns true ``` The function supports the following parameters: - **ar**: real component of the first complex number. - **ai**: imaginary component of the first complex number. - **xr**: real component of the second complex number. - **xi**: imaginary component of the second complex number. - **yr**: real component of the third complex number. - **yi**: imaginary component of the third complex number. - **out**: output array. - **strideOut**: stride length for `out`. - **offsetOut**: starting index for `out`. #### muladd.strided( alpha, sa, oa, x, sx, ox, y, sy, oy, out, so, oo ) Performs a multiply-add operation involving three double-precision complex floating-point numbers stored in real-valued strided array views and assigns results to a provided strided output array. ```javascript var Float64Array = require( '@stdlib/array-float64' ); var z1 = new Float64Array( [ 5.0, 3.0 ] ); var z2 = new Float64Array( [ -2.0, 1.0 ] ); var z3 = new Float64Array( [ 7.0, -8.0 ] ); var out = new Float64Array( 2 ); var v = muladd.strided( z1, 1, 0, z2, 1, 0, z3, 1, 0, out, 1, 0 ); // returns [ -6.0, -9.0 ] var bool = ( out === v ); // returns true ``` The function supports the following parameters: - **alpha**: first complex number strided array view. - **sa**: stride length for `alpha`. - **oa**: starting index for `alpha`. - **x**: second complex number strided array view. - **sx**: stride length for `x`. - **ox**: starting index for `x`. - **y**: third complex number strided array view. - **sy**: stride length for `y`. - **oy**: starting index for `y`. - **out**: output array. - **so**: stride length for `out`. - **oo**: starting index for `out`.

## Examples ```javascript var Complex128Array = require( '@stdlib/array-complex128' ); var discreteUniform = require( '@stdlib/random-array-discrete-uniform' ); var logEachMap = require( '@stdlib/console-log-each-map' ); var muladd = require( '@stdlib/complex-float64-base-mul-add' ); // Generate arrays of random values: var z1 = new Complex128Array( discreteUniform( 200, -50, 50 ) ); var z2 = new Complex128Array( discreteUniform( 200, -50, 50 ) ); var z3 = new Complex128Array( discreteUniform( 200, -50, 50 ) ); // Perform element-wise computation: logEachMap( '( (%s) * (%s) ) + (%s) = %s', z1, z2, z3, muladd ); ```

## C APIs

### Usage ```c #include "stdlib/complex/float64/base/mul_add.h" ``` #### stdlib_base_complex128_muladd( alpha, x, y ) Performs a multiply-add operation involving three double-precision complex floating-point numbers. ```c #include "stdlib/complex/float64/ctor.h" #include "stdlib/complex/float64/real.h" #include "stdlib/complex/float64/imag.h" stdlib_complex128_t z1 = stdlib_complex128( 5.0, 3.0 ); stdlib_complex128_t z2 = stdlib_complex128( -2.0, 1.0 ); stdlib_complex128_t z3 = stdlib_complex128( 7.0, -8.0 ); stdlib_complex128_t out = stdlib_base_complex128_muladd( z1, z2, z3 ); double re = stdlib_complex128_real( out ); // returns -6.0 double im = stdlib_complex128_imag( out ); // returns -9.0 ``` The function accepts the following arguments: - **alpha**: `[in] stdlib_complex128_t` input value. - **x**: `[in] stdlib_complex128_t` input value. - **y**: `[in] stdlib_complex128_t` input value. ```c stdlib_complex128_t stdlib_base_complex128_muladd( const stdlib_complex128_t alpha, const stdlib_complex128_t x, const stdlib_complex128_t y ); ```

### Examples ```c #include "stdlib/complex/float64/base/mul_add.h" #include "stdlib/complex/float64/ctor.h" #include "stdlib/complex/float64/reim.h" #include int main( void ) { const stdlib_complex128_t x[] = { stdlib_complex128( 3.14, 1.5 ), stdlib_complex128( -3.14, 1.5 ), stdlib_complex128( 0.0, -0.0 ), stdlib_complex128( 0.0/0.0, 0.0/0.0 ) }; stdlib_complex128_t v; stdlib_complex128_t y; double re; double im; int i; for ( i = 0; i < 4; i++ ) { v = x[ i ]; stdlib_complex128_reim( v, &re, &im ); printf( "z = %lf + %lfi\n", re, im ); y = stdlib_base_complex128_muladd( v, v, v ); stdlib_complex128_reim( y, &re, &im ); printf( "z*z + z = %lf + %lfi\n", re, im ); } } ```

* * * ## Notice This package is part of [stdlib][stdlib], a standard library for JavaScript and Node.js, with an emphasis on numerical and scientific computing. The library provides a collection of robust, high performance libraries for mathematics, statistics, streams, utilities, and more. For more information on the project, filing bug reports and feature requests, and guidance on how to develop [stdlib][stdlib], see the main project [repository][stdlib]. #### Community [![Chat][chat-image]][chat-url] --- ## License See [LICENSE][stdlib-license]. ## Copyright Copyright © 2016-2025. The Stdlib [Authors][stdlib-authors].

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Name: stdlib
Login: stdlib-js
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Website: https://stdlib.io
Twitter: stdlibjs
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Standard library for JavaScript.

Citation (CITATION.cff)

cff-version: 1.2.0
title: stdlib
message: >-
  If you use this software, please cite it using the
  metadata from this file.

type: software

authors:
  - name: The Stdlib Authors
    url: https://github.com/stdlib-js/stdlib/graphs/contributors

repository-code: https://github.com/stdlib-js/stdlib
url: https://stdlib.io

abstract: |
  Standard library for JavaScript and Node.js.

keywords:
  - JavaScript
  - Node.js
  - TypeScript
  - standard library
  - scientific computing
  - numerical computing
  - statistical computing

license: Apache-2.0 AND BSL-1.0

date-released: 2016

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@stdlib/array-float64 ^0.2.2 development
@stdlib/assert-is-method ^0.2.2 development
@stdlib/assert-is-same-float64array ^0.2.2 development
@stdlib/bench-harness ^0.2.2 development
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istanbul ^0.4.1 development
tap-min git+https://github.com/Planeshifter/tap-min.git development
tape git+https://github.com/kgryte/tape.git#fix/globby development
@stdlib/complex-float64-ctor ^0.0.3
@stdlib/complex-float64-imag ^0.1.1
@stdlib/complex-float64-real ^0.1.1
@stdlib/complex-float64-reim ^0.1.2
@stdlib/math-base-napi-ternary ^0.3.0
@stdlib/types ^0.4.3
@stdlib/utils-define-nonenumerable-read-only-property ^0.2.2
@stdlib/utils-library-manifest ^0.2.2

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