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feat: add complex/float32/base/mul
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Ref: #2260
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kgryte committed Jul 18, 2024
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239 changes: 239 additions & 0 deletions lib/node_modules/@stdlib/complex/float32/base/mul/README.md
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<!--
@license Apache-2.0
Copyright (c) 2021 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.
-->

# mul

> Multiply two single-precision complex floating-point numbers.
<section class="intro">

</section>

<!-- /.intro -->

<section class="usage">

## Usage

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

#### mul( z1, z2 )

Multiples two single-precision complex floating-point numbers.

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

var z1 = new Complex64( 5.0, 3.0 );
var z2 = new Complex64( -2.0, 1.0 );

var v = mul( z1, z2 );
// returns <Complex64>

var re = realf( v );
// returns -13.0

var im = imagf( v );
// returns -1.0
```

</section>

<!-- /.usage -->

<section class="examples">

## Examples

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

```javascript
var Complex64 = require( '@stdlib/complex/float32/ctor' );
var discreteUniform = require( '@stdlib/random/base/discrete-uniform' ).factory;
var mul = require( '@stdlib/complex/float32/base/mul' );

var rand = discreteUniform( -50, 50 );

var z1;
var z2;
var z3;
var i;
for ( i = 0; i < 100; i++ ) {
z1 = new Complex64( rand(), rand() );
z2 = new Complex64( rand(), rand() );
z3 = mul( z1, z2 );
console.log( '(%s) * (%s) = %s', z1.toString(), z2.toString(), z3.toString() );
}
```

</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/mul.h"
```

#### stdlib_base_complex64_mul( z1, z2 )

Multiplies 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( 5.0f, 3.0f );
stdlib_complex64_t z2 = stdlib_complex64( -2.0f, 1.0f );

stdlib_complex64_t out = stdlib_base_complex64_mul( z1, z2 );

float re = stdlib_complex64_real( out );
// returns -13.0f

float im = stdlib_complex64_imag( out );
// returns -1.0f
```

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_mul( 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/mul.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_mul( v, v );
stdlib_complex64_reim( y, &re, &im );
printf( "mul(z, z) = %f + %fi\n", re, im );
}
}
```

</section>

<!-- /.examples -->

</section>

<!-- /.c -->

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

<section class="related">

* * *

## See Also

- <span class="package-name">[`@stdlib/complex/float32/base/add`][@stdlib/complex/float32/base/add]</span><span class="delimiter">: </span><span class="description">add two single-precision complex floating-point numbers.</span>
- <span class="package-name">[`@stdlib/math/base/ops/cmul`][@stdlib/math/base/ops/cmul]</span><span class="delimiter">: </span><span class="description">multiply two double-precision complex floating-point numbers.</span>
- <span class="package-name">[`@stdlib/math/base/ops/csubf`][@stdlib/math/base/ops/csubf]</span><span class="delimiter">: </span><span class="description">subtract two single-precision complex floating-point numbers.</span>

</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">

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

[@stdlib/complex/float32/base/add]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/complex/float32/base/add

[@stdlib/math/base/ops/cmul]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/math/base/ops/cmul

[@stdlib/math/base/ops/csubf]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/math/base/ops/csubf

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

</section>

<!-- /.links -->
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/**
* @license Apache-2.0
*
* Copyright (c) 2021 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 isnanf = require( '@stdlib/math/base/assert/is-nanf' );
var Complex64 = require( '@stdlib/complex/float32/ctor' );
var real = require( '@stdlib/complex/float32/real' );
var imag = require( '@stdlib/complex/float32/imag' );
var pkg = require( './../package.json' ).name;
var mul = require( './../lib' );


// MAIN //

bench( pkg, function benchmark( b ) {
var values;
var out;
var z;
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++ ) {
z = values[ i%values.length ];
out = mul( z, z );
if ( typeof out !== 'object' ) {
b.fail( 'should return an object' );
}
}
b.toc();
if ( isnanf( real( out ) ) || isnanf( imag( out ) ) ) {
b.fail( 'should not return NaN' );
}
b.pass( 'benchmark finished' );
b.end();
});
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/**
* @license Apache-2.0
*
* Copyright (c) 2021 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 realf = require( '@stdlib/complex/float32/real' );
var imagf = require( '@stdlib/complex/float32/imag' );
var tryRequire = require( '@stdlib/utils/try-require' );
var pkg = require( './../package.json' ).name;


// VARIABLES //

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


// MAIN //

bench( pkg+'::native', opts, function benchmark( b ) {
var values;
var out;
var z;
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++ ) {
z = values[ i%values.length ];
out = mul( z, z );
if ( typeof out !== 'object' ) {
b.fail( 'should return an object' );
}
}
b.toc();
if ( isnanf( realf( out ) ) || isnanf( imagf( out ) ) ) {
b.fail( 'should not return NaN' );
}
b.pass( 'benchmark finished' );
b.end();
});
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