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

Add two double-precision complex floating-point numbers.
https://github.com/stdlib-js/complex-float64-base-add

add addition arithmetic cadd cmplx complex javascript math mathematics node node-js nodejs number stdlib sum

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Add two double-precision complex floating-point numbers.

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README

        


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# add

[![NPM version][npm-image]][npm-url] [![Build Status][test-image]][test-url] [![Coverage Status][coverage-image]][coverage-url]

> Add two double-precision complex floating-point numbers.

## Installation

```bash
npm install @stdlib/complex-float64-base-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 add = require( '@stdlib/complex-float64-base-add' );
```

#### add( z1, z2 )

Adds two 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 z = new Complex128( -1.5, 2.5 );

var v = add( z, z );
// returns

var re = real( v );
// returns -3.0

var im = imag( v );
// returns 5.0
```

## Examples

```javascript
var Complex128 = require( '@stdlib/complex-float64-ctor' );
var discreteUniform = require( '@stdlib/random-base-discrete-uniform' ).factory;
var add = require( '@stdlib/complex-float64-base-add' );

var rand = discreteUniform( -50, 50 );

var z1;
var z2;
var z3;
var i;
for ( i = 0; i < 100; i++ ) {
z1 = new Complex128( rand(), rand() );
z2 = new Complex128( rand(), rand() );
z3 = add( z1, z2 );
console.log( '(%s) + (%s) = %s', z1.toString(), z2.toString(), z3.toString() );
}
```

* * *

## C APIs

### Usage

```c
#include "stdlib/complex/float64/base/add.h"
```

#### stdlib_base_complex128_add( z1, z2 )

Adds two 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 z = stdlib_complex128( 3.0, -2.0 );

stdlib_complex128_t out = stdlib_base_complex128_add( z, z );

double re = stdlib_complex128_real( out );
// returns 6.0

double im = stdlib_complex128_imag( out );
// returns -4.0
```

The function accepts the following arguments:

- **z1**: `[in] stdlib_complex128_t` input value.
- **z2**: `[in] stdlib_complex128_t` input value.

```c
stdlib_complex128_t stdlib_base_complex128_add( const stdlib_complex128_t z1, const stdlib_complex128_t z2 );
```

### Examples

```c
#include "stdlib/complex/float64/base/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_add( v, v );
stdlib_complex128_reim( y, &re, &im );
printf( "add(z, z) = %lf + %lfi\n", re, im );
}
}
```

* * *

## See Also

- [`@stdlib/math-base/ops/cdiv`][@stdlib/math/base/ops/cdiv]: divide two complex numbers.
- [`@stdlib/complex-float64/base/mul`][@stdlib/complex/float64/base/mul]: multiply two double-precision complex floating-point numbers.
- [`@stdlib/math-base/ops/csub`][@stdlib/math/base/ops/csub]: subtract two double-precision complex floating-point numbers.

* * *

## 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 © 2016-2024. The Stdlib [Authors][stdlib-authors].

[npm-image]: http://img.shields.io/npm/v/@stdlib/complex-float64-base-add.svg
[npm-url]: https://npmjs.org/package/@stdlib/complex-float64-base-add

[test-image]: https://github.com/stdlib-js/complex-float64-base-add/actions/workflows/test.yml/badge.svg?branch=main
[test-url]: https://github.com/stdlib-js/complex-float64-base-add/actions/workflows/test.yml?query=branch:main

[coverage-image]: https://img.shields.io/codecov/c/github/stdlib-js/complex-float64-base-add/main.svg
[coverage-url]: https://codecov.io/github/stdlib-js/complex-float64-base-add?branch=main

[chat-image]: https://img.shields.io/gitter/room/stdlib-js/stdlib.svg
[chat-url]: https://app.gitter.im/#/room/#stdlib-js_stdlib:gitter.im

[stdlib]: https://github.com/stdlib-js/stdlib

[stdlib-authors]: https://github.com/stdlib-js/stdlib/graphs/contributors

[umd]: https://github.com/umdjs/umd
[es-module]: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Guide/Modules

[deno-url]: https://github.com/stdlib-js/complex-float64-base-add/tree/deno
[deno-readme]: https://github.com/stdlib-js/complex-float64-base-add/blob/deno/README.md
[umd-url]: https://github.com/stdlib-js/complex-float64-base-add/tree/umd
[umd-readme]: https://github.com/stdlib-js/complex-float64-base-add/blob/umd/README.md
[esm-url]: https://github.com/stdlib-js/complex-float64-base-add/tree/esm
[esm-readme]: https://github.com/stdlib-js/complex-float64-base-add/blob/esm/README.md
[branches-url]: https://github.com/stdlib-js/complex-float64-base-add/blob/main/branches.md

[stdlib-license]: https://raw.githubusercontent.com/stdlib-js/complex-float64-base-add/main/LICENSE

[@stdlib/math/base/ops/cdiv]: https://github.com/stdlib-js/math-base-ops-cdiv

[@stdlib/complex/float64/base/mul]: https://github.com/stdlib-js/complex-float64-base-mul

[@stdlib/math/base/ops/csub]: https://github.com/stdlib-js/math-base-ops-csub