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375 changes: 375 additions & 0 deletions lib/node_modules/@stdlib/blas/ext/base/cwxpy/README.md
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<!--

@license Apache-2.0

Copyright (c) 2026 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.

-->

# cwxpy

> Add elements of a single-precision complex floating-point strided array `x` to the corresponding elements of a single-precision complex floating-point strided array `y` and assign the results to elements in a single-precision complex floating-point strided array `w`.

<section class="intro">

This BLAS extension implements the operation

<!-- <equation class="equation" label="eq:wxpy" align="center" raw="\mathbf{w} = \mathbf{x} + \mathbf{y}" alt="Equation for wxpy operation."> -->

```math
\mathbf{w} = \mathbf{x} + \mathbf{y}
```

<!-- </equation> -->

</section>

<!-- /.intro -->

<section class="usage">

## Usage

```javascript
var cwxpy = require( '@stdlib/blas/ext/base/cwxpy' );
```

#### cwxpy( N, x, strideX, y, strideY, w, strideW )

Adds elements of a single-precision complex floating-point strided array `x` to the corresponding elements of a single-precision complex floating-point strided array `y` and assigns the results to elements in a single-precision complex floating-point strided array `w`.

```javascript
var Complex64Array = require( '@stdlib/array/complex64' );

var x = new Complex64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] );
var y = new Complex64Array( [ 2.0, 3.0, 4.0, 5.0, 6.0, 7.0 ] );
var w = new Complex64Array( [ 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 ] );

cwxpy( x.length, x, 1, y, 1, w, 1 );
// w => <Complex64Array>[ 3.0, 5.0, 7.0, 9.0, 11.0, 13.0 ]
```

The function has the following parameters:

- **N**: number of indexed elements.
- **x**: first input [`Complex64Array`][@stdlib/array/complex64].
- **strideX**: stride length for `x`.
- **y**: second input [`Complex64Array`][@stdlib/array/complex64].
- **strideY**: stride length for `y`.
- **w**: output [`Complex64Array`][@stdlib/array/complex64].
- **strideW**: stride length for `w`.

The `N` and stride parameters determine which elements in the strided arrays are accessed at runtime. For example, to add every other element of `x` to every other element of `y`:

```javascript
var Complex64Array = require( '@stdlib/array/complex64' );

var x = new Complex64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0 ] );
var y = new Complex64Array( [ 7.0, 8.0, 9.0, 10.0, 11.0, 12.0, 13.0, 14.0 ] );
var w = new Complex64Array( [ 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 ] );

cwxpy( 2, x, 2, y, 2, w, 2 );
// w => <Complex64Array>[ 8.0, 10.0, 0.0, 0.0, 16.0, 18.0, 0.0, 0.0 ]
```

Note that indexing is relative to the first index. To introduce an offset, use [`typed array`][mdn-typed-array] views.

<!-- eslint-disable max-len -->

```javascript
var Complex64Array = require( '@stdlib/array/complex64' );

// Initial arrays...
var x0 = new Complex64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0, 9.0, 10.0 ] );
var y0 = new Complex64Array( [ 7.0, 8.0, 9.0, 10.0, 11.0, 12.0, 13.0, 14.0, 15.0, 16.0 ] );
var w0 = new Complex64Array( [ 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 ] );

// Create offset views...
var x1 = new Complex64Array( x0.buffer, x0.BYTES_PER_ELEMENT*1 ); // start at 2nd element
var y1 = new Complex64Array( y0.buffer, y0.BYTES_PER_ELEMENT*2 ); // start at 3rd element
var w1 = new Complex64Array( w0.buffer, w0.BYTES_PER_ELEMENT*2 ); // start at 3rd element

cwxpy( 3, x1, 1, y1, 1, w1, 1 );
// w0 => <Complex64Array>[ 0.0, 0.0, 0.0, 0.0, 14.0, 16.0, 18.0, 20.0, 22.0, 24.0 ]
```

<!-- lint disable maximum-heading-length -->

#### cwxpy.ndarray( N, x, strideX, offsetX, y, strideY, offsetY, w, strideW, offsetW )

<!-- lint enable maximum-heading-length -->

Adds elements of a single-precision complex floating-point strided array `x` to the corresponding elements of a single-precision complex floating-point strided array `y` and assigns the results to elements in a single-precision complex floating-point strided array `w` using alternative indexing semantics.

```javascript
var Complex64Array = require( '@stdlib/array/complex64' );

var x = new Complex64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] );
var y = new Complex64Array( [ 2.0, 3.0, 4.0, 5.0, 6.0, 7.0 ] );
var w = new Complex64Array( [ 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 ] );

cwxpy.ndarray( x.length, x, 1, 0, y, 1, 0, w, 1, 0 );
// w => <Complex64Array>[ 3.0, 5.0, 7.0, 9.0, 11.0, 13.0 ]
```

The function has the following additional parameters:

- **offsetX**: starting index for `x`.
- **offsetY**: starting index for `y`.
- **offsetW**: starting index for `w`.

While [`typed array`][mdn-typed-array] views mandate a view offset based on the underlying buffer, the offset parameters support indexing semantics based on starting indices. For example, to add the last three elements of `x` to the last three elements of `y`:

<!-- eslint-disable max-len -->

```javascript
var Complex64Array = require( '@stdlib/array/complex64' );

var x = new Complex64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0, 9.0, 10.0 ] );
var y = new Complex64Array( [ 11.0, 12.0, 13.0, 14.0, 15.0, 16.0, 17.0, 18.0, 19.0, 20.0 ] );
var w = new Complex64Array( [ 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 ] );

cwxpy.ndarray( 3, x, 1, x.length-3, y, 1, y.length-3, w, 1, w.length-3 );
// w => <Complex64Array>[ 0.0, 0.0, 0.0, 0.0, 20.0, 22.0, 24.0, 26.0, 28.0, 30.0 ]
```

</section>

<!-- /.usage -->

<section class="notes">

## Notes

- If `N <= 0`, both functions return `w` unchanged.

</section>

<!-- /.notes -->

<section class="examples">

## Examples

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

```javascript
var discreteUniform = require( '@stdlib/random/array/discrete-uniform' );
var Complex64Array = require( '@stdlib/array/complex64' );
var logEach = require( '@stdlib/console/log-each' );
var cwxpy = require( '@stdlib/blas/ext/base/cwxpy' );

var opts = {
'dtype': 'float32'
};
var xbuf = discreteUniform( 20, -100, 100, opts );
var ybuf = discreteUniform( 20, -100, 100, opts );
var wbuf = discreteUniform( 20, -100, 100, opts );
var x = new Complex64Array( xbuf.buffer );
var y = new Complex64Array( ybuf.buffer );
var w = new Complex64Array( wbuf.buffer );

cwxpy( x.length, x, 1, y, 1, w, 1 );
logEach( '%s', w );
```

</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/blas/ext/base/cwxpy.h"
```

#### stdlib_strided_cwxpy( N, \*X, strideX, \*Y, strideY, \*W, strideW )

Adds elements of a single-precision complex floating-point strided array `X` to the corresponding elements of a single-precision complex floating-point strided array `Y` and assigns the results to elements in a single-precision complex floating-point strided array `W`.

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

const float x[] = { 1.0f, 2.0f, 3.0f, 4.0f, 5.0f, 6.0f, 7.0f, 8.0f };
const float y[] = { 2.0f, 3.0f, 4.0f, 5.0f, 6.0f, 7.0f, 8.0f, 9.0f };
float w[] = { 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f };

stdlib_strided_cwxpy( 4, (const stdlib_complex64_t *)x, 1, (const stdlib_complex64_t *)y, 1, (stdlib_complex64_t *)w, 1 );
```

The function accepts the following arguments:

- **N**: `[in] CBLAS_INT` number of indexed elements.
- **X**: `[in] stdlib_complex64_t*` first input array.
- **strideX**: `[in] CBLAS_INT` stride length for `X`.
- **Y**: `[in] stdlib_complex64_t*` second input array.
- **strideY**: `[in] CBLAS_INT` stride length for `Y`.
- **W**: `[out] stdlib_complex64_t*` output array.
- **strideW**: `[in] CBLAS_INT` stride length for `W`.

```c
void stdlib_strided_cwxpy( const CBLAS_INT N, const stdlib_complex64_t *X, const CBLAS_INT strideX, const stdlib_complex64_t *Y, const CBLAS_INT strideY, stdlib_complex64_t *W, const CBLAS_INT strideW );
```

<!--lint disable maximum-heading-length-->

#### stdlib_strided_cwxpy_ndarray( N, \*X, strideX, offsetX, \*Y, strideY, offsetY, \*W, strideW, offsetW )

<!--lint enable maximum-heading-length-->

Adds elements of a single-precision complex floating-point strided array `X` to the corresponding elements of a single-precision complex floating-point strided array `Y` and assigns the results to elements in a single-precision complex floating-point strided array `W` using alternative indexing semantics.

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

const float x[] = { 1.0f, 2.0f, 3.0f, 4.0f, 5.0f, 6.0f, 7.0f, 8.0f };
const float y[] = { 2.0f, 3.0f, 4.0f, 5.0f, 6.0f, 7.0f, 8.0f, 9.0f };
float w[] = { 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f };

stdlib_strided_cwxpy_ndarray( 4, (const stdlib_complex64_t *)x, 1, 0, (const stdlib_complex64_t *)y, 1, 0, (stdlib_complex64_t *)w, 1, 0 );
```

The function accepts the following arguments:

- **N**: `[in] CBLAS_INT` number of indexed elements.
- **X**: `[in] stdlib_complex64_t*` first input array.
- **strideX**: `[in] CBLAS_INT` stride length for `X`.
- **offsetX**: `[in] CBLAS_INT` starting index for `X`.
- **Y**: `[in] stdlib_complex64_t*` second input array.
- **strideY**: `[in] CBLAS_INT` stride length for `Y`.
- **offsetY**: `[in] CBLAS_INT` starting index for `Y`.
- **W**: `[out] stdlib_complex64_t*` output array.
- **strideW**: `[in] CBLAS_INT` stride length for `W`.
- **offsetW**: `[in] CBLAS_INT` starting index for `W`.

```c
void stdlib_strided_cwxpy_ndarray( const CBLAS_INT N, const stdlib_complex64_t *X, const CBLAS_INT strideX, const CBLAS_INT offsetX, const stdlib_complex64_t *Y, const CBLAS_INT strideY, const CBLAS_INT offsetY, stdlib_complex64_t *W, const CBLAS_INT strideW, const CBLAS_INT offsetW );
```

</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/blas/ext/base/cwxpy.h"
#include "stdlib/complex/float32/ctor.h"
#include "stdlib/complex/float32/real.h"
#include "stdlib/complex/float32/imag.h"
#include <stdio.h>

int main( void ) {
// Create strided arrays:
const stdlib_complex64_t x[] = {
stdlib_complex64( 1.0f, 2.0f ),
stdlib_complex64( 3.0f, 4.0f ),
stdlib_complex64( 5.0f, 6.0f ),
stdlib_complex64( 7.0f, 8.0f )
};
const stdlib_complex64_t y[] = {
stdlib_complex64( 2.0f, 3.0f ),
stdlib_complex64( 4.0f, 5.0f ),
stdlib_complex64( 6.0f, 7.0f ),
stdlib_complex64( 8.0f, 9.0f )
};
stdlib_complex64_t w[] = {
stdlib_complex64( 0.0f, 0.0f ),
stdlib_complex64( 0.0f, 0.0f ),
stdlib_complex64( 0.0f, 0.0f ),
stdlib_complex64( 0.0f, 0.0f )
};

// Specify the number of indexed elements:
const int N = 4;

// Specify strides:
const int strideX = 1;
const int strideY = 1;
const int strideW = 1;

// Add elements of `x` to the corresponding elements of `y` and assign the results to elements in `w`:
stdlib_strided_cwxpy( N, x, strideX, y, strideY, w, strideW );

// Print the result:
for ( int i = 0; i < N; i++ ) {
printf( "w[ %i ] = %f + %fi\n", i, stdlib_complex64_real( w[ i ] ), stdlib_complex64_imag( w[ i ] ) );
}
}
```

</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">

[@stdlib/array/complex64]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/array/complex64

[mdn-typed-array]: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/TypedArray

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

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

</section>

<!-- /.links -->
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