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310 changes: 310 additions & 0 deletions lib/node_modules/@stdlib/blas/ext/base/zunitspace/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.

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# zunitspace

> Fill a double-precision complex floating-point strided array with linearly spaced numeric elements which increment by `1` starting from a specified value.

<section class="usage">

## Usage

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

#### zunitspace( N, start, x, strideX )

Fills a double-precision complex floating-point strided array with linearly spaced numeric elements which increment by `1` starting from a specified value.

```javascript
var Complex128 = require( '@stdlib/complex/float64/ctor' );
var Complex128Array = require( '@stdlib/array/complex128' );

var x = new Complex128Array( [ 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 ] );

zunitspace( x.length, new Complex128( 3.0, 0.0 ), x, 1 );
// x => <Complex128Array>[ 3.0, 0.0, 4.0, 0.0, 5.0, 0.0, 6.0, 0.0 ]
```

The function has the following parameters:

- **N**: number of indexed elements.
- **start**: starting [`Complex128`][@stdlib/complex/float64/ctor] value.
- **x**: input [`Complex128Array`][@stdlib/array/complex128].
- **strideX**: stride length.

The `N` and stride parameters determine which elements in the strided array are accessed at runtime. For example, to fill every other element:

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

```javascript
var Complex128 = require( '@stdlib/complex/float64/ctor' );
var Complex128Array = require( '@stdlib/array/complex128' );

var x = new Complex128Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0, 9.0, 10.0, 11.0, 12.0 ] );

zunitspace( 3, new Complex128( 3.0, 0.0 ), x, 2 );
// x => <Complex128Array>[ 3.0, 0.0, 3.0, 4.0, 4.0, 0.0, 7.0, 8.0, 5.0, 0.0, 11.0, 12.0 ]
```

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 Complex128 = require( '@stdlib/complex/float64/ctor' );
var Complex128Array = require( '@stdlib/array/complex128' );

// Initial array...
var x0 = new Complex128Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0, 9.0, 10.0, 11.0, 12.0 ] );

// Create an offset view...
var x1 = new Complex128Array( x0.buffer, x0.BYTES_PER_ELEMENT*1 ); // start at 2nd element

// Fill every other element...
zunitspace( 3, new Complex128( 3.0, 0.0 ), x1, 2 );
// x0 => <Complex128Array>[ 1.0, 2.0, 3.0, 0.0, 5.0, 6.0, 4.0, 0.0, 9.0, 10.0, 5.0, 0.0 ]
```

#### zunitspace.ndarray( N, start, x, strideX, offsetX )

Fills a double-precision complex floating-point strided array with linearly spaced numeric elements which increment by `1` starting from a specified value using alternative indexing semantics.

```javascript
var Complex128 = require( '@stdlib/complex/float64/ctor' );
var Complex128Array = require( '@stdlib/array/complex128' );

var x = new Complex128Array( [ 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 ] );

zunitspace.ndarray( x.length, new Complex128( 3.0, 0.0 ), x, 1, 0 );
// x => <Complex128Array>[ 3.0, 0.0, 4.0, 0.0, 5.0, 0.0, 6.0, 0.0 ]
```

The function has the following additional parameters:

- **offsetX**: starting index.

While [`typed array`][mdn-typed-array] views mandate a view offset based on the underlying buffer, the offset parameter supports indexing semantics based on a starting index. For example, to access only the last three elements:

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

```javascript
var Complex128 = require( '@stdlib/complex/float64/ctor' );
var Complex128Array = require( '@stdlib/array/complex128' );

var x = new Complex128Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0, 9.0, 10.0, 11.0, 12.0 ] );

zunitspace.ndarray( 3, new Complex128( 3.0, 0.0 ), x, 1, x.length-3 );
// x => <Complex128Array>[ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 3.0, 0.0, 4.0, 0.0, 5.0, 0.0 ]
```

</section>

<!-- /.usage -->

<section class="notes">

## Notes

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

</section>

<!-- /.notes -->

<section class="examples">

## Examples

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

```javascript
var discreteUniform = require( '@stdlib/random/array/discrete-uniform' );
var Complex128Array = require( '@stdlib/array/complex128' );
var Complex128 = require( '@stdlib/complex/float64/ctor' );
var zunitspace = require( '@stdlib/blas/ext/base/zunitspace' );

var xbuf = discreteUniform( 20, -100, 100, {
'dtype': 'float64'
});
var x = new Complex128Array( xbuf.buffer );
console.log( x );

zunitspace( x.length, new Complex128( 3.0, 0.0 ), x, 1 );
console.log( x );
```

</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/zunitspace.h"
```

#### stdlib_strided_zunitspace( N, start, \*X, strideX )

Fills a double-precision complex floating-point strided array with linearly spaced numeric elements which increment by `1` starting from a specified value.

```c
#include "stdlib/complex/float64/ctor.h"

double x[] = { 1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0 };

const stdlib_complex128_t start = stdlib_complex128( 3.0, 0.0 );

stdlib_strided_zunitspace( 4, start, (stdlib_complex128_t *)x, 1 );
```

The function accepts the following arguments:

- **N**: `[in] CBLAS_INT` number of indexed elements.
- **start**: `[in] stdlib_complex128_t` starting value.
- **X**: `[out] stdlib_complex128_t*` input array.
- **strideX**: `[in] CBLAS_INT` stride length.

```c
void API_SUFFIX(stdlib_strided_zunitspace)( const CBLAS_INT N, const stdlib_complex128_t start, stdlib_complex128_t *X, const CBLAS_INT strideX );
```

#### stdlib_strided_zunitspace_ndarray( N, start, \*X, strideX, offsetX )

Fills a double-precision complex floating-point strided array with linearly spaced numeric elements which increment by `1` starting from a specified value using alternative indexing semantics.

```c
#include "stdlib/complex/float64/ctor.h"

double x[] = { 1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0 };

const stdlib_complex128_t start = stdlib_complex128( 3.0, 0.0 );

stdlib_strided_zunitspace_ndarray( 4, start, (stdlib_complex128_t *)x, 1, 0 );
```

The function accepts the following arguments:

- **N**: `[in] CBLAS_INT` number of indexed elements.
- **start**: `[in] stdlib_complex128_t` starting value.
- **X**: `[out] stdlib_complex128_t*` input array.
- **strideX**: `[in] CBLAS_INT` stride length.
- **offsetX**: `[in] CBLAS_INT` starting index.

```c
void API_SUFFIX(stdlib_strided_zunitspace_ndarray)( const CBLAS_INT N, const stdlib_complex128_t start, stdlib_complex128_t *X, const CBLAS_INT strideX, const CBLAS_INT offsetX );
```

</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/zunitspace.h"
#include "stdlib/complex/float64/ctor.h"
#include <stdio.h>

int main( void ) {
// Create a strided array of interleaved real and imaginary components:
double x[] = { 1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0 };

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

// Specify a stride:
const int strideX = 1;

// Specify a starting value:
const stdlib_complex128_t start = stdlib_complex128( 3.0, 0.0 );

// Fill the array:
stdlib_strided_zunitspace( N, start, (stdlib_complex128_t *)x, strideX );

// Print the result:
for ( int i = 0; i < 8; i++ ) {
printf( "x[ %i ] = %lf\n", i, x[ 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/complex128]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/array/complex128

[@stdlib/complex/float64/ctor]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/complex/float64/ctor

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

</section>

<!-- /.links -->
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