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286 changes: 286 additions & 0 deletions lib/node_modules/@stdlib/complex/float32/base/div/README.md
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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.

-->

# cdiv

> Divide two single-precision complex floating-point numbers.

<section class="intro">

</section>

<!-- /.intro -->

<section class="usage">

## Usage

```javascript
var cdiv = require( '@stdlib/complex/float32/base/div' );
```

#### cdiv( z1, z2 )

Divides two single-precision complex floating-point numbers.

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

var z1 = new Complex64( -13.0, -1.0 );
var z2 = new Complex64( -2.0, 1.0 );

var v = cdiv( z1, z2 );
// returns <Complex64>[ 5.0, 3.0 ]
```

#### cdiv.assign( re1, im1, re2, im2, out, strideOut, offsetOut )

Divides two single-precision complex floating-point numbers and assigns results to a provided output array.

```javascript
var Float32Array = require( '@stdlib/array/float32' );

var out = new Float32Array( 2 );
var v = cdiv.assign( -13.0, -1.0, -2.0, 1.0, out, 1, 0 );
// returns <Float32Array>[ 5.0, 3.0 ]

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

The function supports the following parameters:

- **re1**: real component of the first complex number.
- **im1**: imaginary component of the first complex number.
- **re2**: real component of the second complex number.
- **im2**: imaginary component of the second complex number.
- **out**: output array.
- **strideOut**: stride length for `out`.
- **offsetOut**: starting index for `out`.

#### cdiv.strided( z1, sz1, oz1, z2, sz2, oz2, out, so, oo )

Divides two single-precision complex floating-point numbers stored in real-valued strided array views and assigns results to a provided strided output array.

```javascript
var Float32Array = require( '@stdlib/array/float32' );

var z1 = new Float32Array( [ -13.0, -1.0 ] );
var z2 = new Float32Array( [ -2.0, 1.0 ] );
var out = new Float32Array( 2 );

var v = cdiv.strided( z1, 1, 0, z2, 1, 0, out, 1, 0 );
// returns <Float32Array>[ 5.0, 3.0 ]

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

The function supports the following parameters:

- **z1**: first complex number strided array view.
- **sz1**: stride length for `z1`.
- **oz1**: starting index for `z1`.
- **z2**: second complex number strided array view.
- **sz2**: stride length for `z2`.
- **oz2**: starting index for `z2`.
- **out**: output array.
- **so**: stride length for `out`.
- **oo**: starting index for `out`.

</section>

<!-- /.usage -->

<section class="examples">

## Examples

<!-- eslint no-undef: "error" -->

```javascript
var Complex64Array = require( '@stdlib/array/complex64' );
var discreteUniform = require( '@stdlib/random/array/discrete-uniform' );
var logEachMap = require( '@stdlib/console/log-each-map' );
var cdiv = require( '@stdlib/complex/float32/base/div' );

// Generate arrays of random values:
var z1 = new Complex64Array( discreteUniform( 200, -50, 50 ) );
var z2 = new Complex64Array( discreteUniform( 200, -50, 50 ) );

// Perform element-wise division:
logEachMap( '(%s) / (%s) = %s', z1, z2, cdiv );
```

</section>

<!-- /.examples -->

<!-- C interface documentation. -->

* * *

<section class="c">

## C APIs

<!-- Section to include introductory text. Make sure to keep an empty line after the intro `section` element and another before the `/section` close. -->

<section class="intro">

</section>

<!-- /.intro -->

<!-- C usage documentation. -->

<section class="usage">

### Usage

```c
#include "stdlib/complex/float32/base/div.h"
```

#### stdlib_base_complex64_div( z1, z2 )

Divides two single-precision complex floating-point numbers.

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

stdlib_complex64_t z1 = stdlib_complex64( -13.0f, -1.0f );
stdlib_complex64_t z2 = stdlib_complex64( -2.0f, 1.0f );

stdlib_complex64_t out = stdlib_base_complex64_div( z1, z2 );

float re = stdlib_complex64_real( out );
// returns 5.0f

float im = stdlib_complex64_imag( out );
// returns 3.0f
```

The function accepts the following arguments:

- **z1**: `[in] stdlib_complex64_t` input value.
- **z2**: `[in] stdlib_complex64_t` input value.

```c
stdlib_complex64_t stdlib_base_complex64_div( const stdlib_complex64_t z1, const stdlib_complex64_t z2 );
```

</section>

<!-- /.usage -->

<!-- C API usage notes. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->

<section class="notes">

</section>

<!-- /.notes -->

<!-- C API usage examples. -->

<section class="examples">

### Examples

```c
#include "stdlib/complex/float32/base/div.h"
#include "stdlib/complex/float32/ctor.h"
#include "stdlib/complex/float32/reim.h"
#include <stdio.h>

int main( void ) {
const stdlib_complex64_t x[] = {
stdlib_complex64( 3.14f, 1.5f ),
stdlib_complex64( -3.14f, 1.5f ),
stdlib_complex64( 0.0f, -0.0f ),
stdlib_complex64( 0.0f/0.0f, 0.0f/0.0f )
};

stdlib_complex64_t v;
stdlib_complex64_t y;
float re;
float im;
int i;
for ( i = 0; i < 4; i++ ) {
v = x[ i ];
stdlib_complex64_reim( v, &re, &im );
printf( "z = %f + %fi\n", re, im );

y = stdlib_base_complex64_div( v, v );
stdlib_complex64_reim( y, &re, &im );
printf( "cdiv(z, z) = %f + %fi\n", re, im );
}
}
```

</section>

<!-- /.examples -->

</section>

<!-- /.c -->

* * *

<section class="references">

## References

- Smith, Robert L. 1962. "Algorithm 116: Complex Division." _Commun. ACM_ 5 (8). New York, NY, USA: ACM: 435. doi:[10.1145/368637.368661][@smith:1962a].
- Stewart, G. W. 1985. "A Note on Complex Division." _ACM Trans. Math. Softw._ 11 (3). New York, NY, USA: ACM: 238–41. doi:[10.1145/214408.214414][@stewart:1985a].
- Priest, Douglas M. 2004. "Efficient Scaling for Complex Division." _ACM Trans. Math. Softw._ 30 (4). New York, NY, USA: ACM: 389–401. doi:[10.1145/1039813.1039814][@priest:2004a].
- Baudin, Michael, and Robert L. Smith. 2012. "A Robust Complex Division in Scilab." _arXiv_ abs/1210.4539 \[cs.MS] (October): 1–25. [&lt;https://arxiv.org/abs/1210.4539>][@baudin:2012a].

</section>

<!-- /.references -->

<!-- Section for related `stdlib` packages. Do not manually edit this section, as it is automatically populated. -->

<section class="related">

</section>

<!-- /.related -->

<!-- Section for all links. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->

<section class="links">

[@smith:1962a]: https://doi.org/10.1145/368637.368661

[@stewart:1985a]: https://doi.org/10.1145/214408.214414

[@priest:2004a]: https://doi.org/10.1145/1039813.1039814

[@baudin:2012a]: https://arxiv.org/abs/1210.4539

</section>

<!-- /.links -->
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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 bench = require( '@stdlib/bench' );
var uniform = require( '@stdlib/random/array/uniform' );
var isnanf = require( '@stdlib/math/base/assert/is-nanf' );
var Float32Array = require( '@stdlib/array/float32' );
var pkg = require( './../package.json' ).name;
var cdiv = require( './../lib' );


// VARIABLES //

var options = {
'dtype': 'float32'
};


// MAIN //

bench( pkg+':assign', function benchmark( b ) {
var out;
var re;
var im;
var N;
var i;
var j;
var k;

N = 100;
re = uniform( N, -500.0, 500.0, options );
im = uniform( N, -500.0, 500.0, options );

out = new Float32Array( 2 );

b.tic();
for ( i = 0; i < b.iterations; i++ ) {
j = i % N;
k = ( i+1 ) % N;
out = cdiv.assign( re[ j ], im[ j ], re[ k ], im[ k ], out, 1, 0 );
if ( typeof out !== 'object' ) {
b.fail( 'should return an object' );
}
}
b.toc();
if ( isnanf( out[ 0 ] ) || isnanf( out[ 1 ] ) ) {
b.fail( 'should not return NaN' );
}
b.pass( 'benchmark finished' );
b.end();
});
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