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202 changes: 202 additions & 0 deletions lib/node_modules/@stdlib/math/base/special/cphasef/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.

-->

# cphasef

> Compute the [argument][complex-number-argument] of a single-precision complex floating-point number in radians.

<section class="intro">

The [argument][complex-number-argument] of a complex number, also known as the **phase**, is the angle of the radius extending from the origin to the complex number plotted in the complex plane and the positive real axis.

</section>

<!-- /.intro -->

<section class="usage">

## Usage

```javascript
var cphasef = require( '@stdlib/math/base/special/cphasef' );
```

#### cphasef( z )

Computes the [argument][complex-number-argument] of a single-precision complex floating-point number.

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

var phi = cphasef( new Complex64( 5.0, 3.0 ) );
// returns ~0.5404
```

</section>

<!-- /.usage -->

<section class="examples">

## Examples

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

```javascript
var Complex64 = require( '@stdlib/complex/float32/ctor' );
var uniform = require( '@stdlib/random/base/uniform' );
var cphasef = require( '@stdlib/math/base/special/cphasef' );

var z;
var i;

for ( i = 0; i < 100; i++ ) {
z = new Complex64( uniform( -500.0, 500.0 ), uniform( -500.0, 500.0 ) );
console.log( 'arg(%s) = %d', z.toString(), cphasef( z ) );
}
```

</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/math/base/special/cphasef.h"
```

#### stdlib_base_cphasef( z )

Computes the [argument][complex-number-argument] 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 out = stdlib_base_cphasef( z );
// returns ~0.5404f
```

The function accepts the following arguments:

- **z**: `[in] stdlib_complex64_t` input value.

```c
float stdlib_base_cphasef( const stdlib_complex64_t z );
```

</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/math/base/special/cphasef.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, 1.0f ),
stdlib_complex64( -3.14f, -1.0f ),
stdlib_complex64( 0.0f, 0.0f ),
stdlib_complex64( 0.0f/0.0f, 0.0f/0.0f )
};

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

</section>

<!-- /.examples -->

</section>

<!-- /.c -->

<!-- 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">

[complex-number-argument]: https://en.wikipedia.org/wiki/Argument_%28complex_analysis%29

<!-- <related-links> -->

<!-- </related-links> -->

</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/base/uniform' );
var Complex64 = require( '@stdlib/complex/float64/ctor' );
var isnanf = require( '@stdlib/math/base/assert/is-nanf' );
var pkg = require( './../package.json' ).name;
var cphasef = require( './../lib' );


// MAIN //

bench( pkg, function benchmark( b ) {
var values;
var y;
var i;

values = [
new Complex64( uniform( -500.0, 500.0 ), uniform( -500.0, 500.0 ) ),
new Complex64( uniform( -500.0, 500.0 ), uniform( -500.0, 500.0 ) )
];

b.tic();
for ( i = 0; i < b.iterations; i++ ) {
y = cphasef( values[ i%values.length ] );
if ( isnanf( y ) ) {
b.fail( 'should not return NaN' );
}
}
b.toc();
if ( isnanf( y ) ) {
b.fail( 'should not return NaN' );
}
b.pass( 'benchmark finished' );
b.end();
});
Original file line number Diff line number Diff line change
@@ -0,0 +1,65 @@
/**
* @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 resolve = require( 'path' ).resolve;
var bench = require( '@stdlib/bench' );
var uniform = require( '@stdlib/random/base/uniform' );
var isnanf = require( '@stdlib/math/base/assert/is-nanf' );
var Complex64 = require( '@stdlib/complex/float32/ctor' );
var tryRequire = require( '@stdlib/utils/try-require' );
var pkg = require( './../package.json' ).name;


// VARIABLES //

var cphasef = tryRequire( resolve( __dirname, './../lib/native.js' ) );
var opts = {
'skip': ( cphasef instanceof Error )
};


// MAIN //

bench( pkg+'::native', opts, function benchmark( b ) {
var values;
var y;
var i;

values = [
new Complex64( uniform( -500.0, 500.0 ), uniform( -500.0, 500.0 ) ),
new Complex64( uniform( -500.0, 500.0 ), uniform( -500.0, 500.0 ) )
];

b.tic();
for ( i = 0; i < b.iterations; i++ ) {
y = cphasef( values[ i%values.length ] );
if ( isnanf( y ) ) {
b.fail( 'should not return NaN' );
}
}
b.toc();
if ( isnanf( y ) ) {
b.fail( 'should not return NaN' );
}
b.pass( 'benchmark finished' );
b.end();
});
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