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https://github.com/stdlib-js/math-base-special-cpolarf

Compute the absolute value and the phase of a single-precision complex floating-point number.
https://github.com/stdlib-js/math-base-special-cpolarf

abs absolute angle arg argument cabsf carg cphasef distance javascript magnitude math mathematics modulus node node-js nodejs phase polar stdlib

Last synced: 13 days ago
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Compute the absolute value and the phase of a single-precision complex floating-point number.

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# cpolarf

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

> Compute the [absolute value][@stdlib/math/base/special/cabsf] and [phase][@stdlib/math/base/special/cphasef] of a single-precision complex floating-point number.

## Installation

```bash
npm install @stdlib/math-base-special-cpolarf
```

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 cpolarf = require( '@stdlib/math-base-special-cpolarf' );
```

#### cpolarf( z )

Computes the [absolute value][@stdlib/math/base/special/cabsf] and [phase][@stdlib/math/base/special/cphasef] of a single-precision complex floating-point number.

```javascript
var Complex64 = require( '@stdlib/complex-float32-ctor' );

var o = cpolarf( new Complex64( 5.0, 3.0 ) );
// returns [ ~5.83, ~0.5404 ]
```

#### cpolarf.assign( z, out, stride, offset )

Computes the [absolute value][@stdlib/math/base/special/cabsf] and [phase][@stdlib/math/base/special/cphasef] of a single-precision complex floating-point number and assigns results to a provided output array.

```javascript
var Complex64 = require( '@stdlib/complex-float32-ctor' );
var Float32Array = require( '@stdlib/array-float32' );

var out = new Float32Array( 2 );

var v = cpolarf.assign( new Complex64( 5.0, 3.0 ), out, 1, 0 );
// returns [ ~5.83, ~0.5404 ]

var bool = ( v === out );
// returns true
```

## Examples

```javascript
var Complex64Array = require( '@stdlib/array-complex64' );
var uniform = require( '@stdlib/random-array-uniform' );
var logEachMap = require( '@stdlib/console-log-each-map' );
var cpolarf = require( '@stdlib/math-base-special-cpolarf' );

// Create an array of random numbers:
var opts = {
'dtype': 'float32'
};
var arr = new Complex64Array( uniform( 200, -100.0, 100.0, opts ) );

// Compute the polar form of each number in the array:
logEachMap( 'cpolarf(%s) = [%s]', arr, cpolarf );
```

* * *

## C APIs

### Usage

```c
#include "stdlib/math/base/special/cpolarf.h"
```

#### stdlib_base_cpolarf( z, cabsf, cphasef )

Computes the [absolute value][@stdlib/math/base/special/cabsf] and [phase][@stdlib/math/base/special/cphasef] of a single-precision complex floating-point number.

```c
#include "stdlib/complex/float32/ctor.h"
#include "stdlib/complex/float32/real.h"
#include "stdlib/complex/float32/imag.h"

stdlib_complex64_t z = stdlib_complex64( 5.0f, 3.0f );
float cabsf;
float cphasef;
stdlib_base_cpolarf( z, &cabsf, &cphasef );
```

The function accepts the following arguments:

- **z**: `[in] stdlib_complex64_t` input value.
- **cabsf**: `[out] float*` destination for the absolute value.
- **cphasef**: `[out] float*` destination for the phase value in radians.

```c
void stdlib_base_cpolarf( const stdlib_complex64_t z, float *cabsf, float *cphasef );
```

### Examples

```c
#include "stdlib/math/base/special/cpolarf.h"
#include "stdlib/complex/float32/ctor.h"
#include "stdlib/complex/float32/reim.h"
#include

int main( void ) {
const stdlib_complex64_t x[] = {
stdlib_complex64( 3.14f, 1.0f ),
stdlib_complex64( -3.14f, -1.0f ),
stdlib_complex64( 0.0f, 0.0f ),
stdlib_complex64( 0.0f/0.0f, 0.0f/0.0f )
};

float cphasef;
float cabsf;
float re;
float im;
int i;
for ( i = 0; i < 4; i++ ) {
stdlib_base_cpolarf( x[i], &cabsf, &cphasef );
stdlib_complex64_reim( x[i], &re, &im );
printf( "cpolarf(%f + %fi) => cabsf: %f, cphasef: %f\n", re, im, cabsf, cphasef );
}
}
```

* * *

## 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 © 2016-2026. The Stdlib [Authors][stdlib-authors].

[npm-image]: http://img.shields.io/npm/v/@stdlib/math-base-special-cpolarf.svg
[npm-url]: https://npmjs.org/package/@stdlib/math-base-special-cpolarf

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

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

[chat-image]: https://img.shields.io/badge/zulip-join_chat-brightgreen.svg
[chat-url]: https://stdlib.zulipchat.com

[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/math-base-special-cpolarf/tree/deno
[deno-readme]: https://github.com/stdlib-js/math-base-special-cpolarf/blob/deno/README.md
[umd-url]: https://github.com/stdlib-js/math-base-special-cpolarf/tree/umd
[umd-readme]: https://github.com/stdlib-js/math-base-special-cpolarf/blob/umd/README.md
[esm-url]: https://github.com/stdlib-js/math-base-special-cpolarf/tree/esm
[esm-readme]: https://github.com/stdlib-js/math-base-special-cpolarf/blob/esm/README.md
[branches-url]: https://github.com/stdlib-js/math-base-special-cpolarf/blob/main/branches.md

[stdlib-license]: https://raw.githubusercontent.com/stdlib-js/math-base-special-cpolarf/main/LICENSE

[@stdlib/math/base/special/cabsf]: https://github.com/stdlib-js/math-base-special-cabsf

[@stdlib/math/base/special/cphasef]: https://github.com/stdlib-js/math-base-special-cphasef