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https://github.com/stdlib-js/blas-base-zdscal

Scale a double-precision complex floating-point vector by a double-precision floating-point constant.
https://github.com/stdlib-js/blas-base-zdscal

algebra array blas complex complex128 javascript level-1 linear math mathematics ndarray node node-js nodejs scale stdlib subroutines typed vector zdscal

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Scale a double-precision complex floating-point vector by a double-precision floating-point constant.

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README

        


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# zdscal

[![NPM version][npm-image]][npm-url] [![Build Status][test-image]][test-url] [![Coverage Status][coverage-image]][coverage-url]

> Scale a double-precision complex floating-point vector by a double-precision floating-point constant.

## Installation

```bash
npm install @stdlib/blas-base-zdscal
```

Alternatively,

- To load the package in a website via a `script` tag without installation and bundlers, use the [ES Module][es-module] available on the [`esm`][esm-url] branch (see [README][esm-readme]).
- If you are using Deno, visit the [`deno`][deno-url] branch (see [README][deno-readme] for usage intructions).
- For use in Observable, or in browser/node environments, use the [Universal Module Definition (UMD)][umd] build available on the [`umd`][umd-url] branch (see [README][umd-readme]).

The [branches.md][branches-url] file summarizes the available branches and displays a diagram illustrating their relationships.

To view installation and usage instructions specific to each branch build, be sure to explicitly navigate to the respective README files on each branch, as linked to above.

## Usage

```javascript
var zdscal = require( '@stdlib/blas-base-zdscal' );
```

#### zdscal( N, da, zx, strideZX )

Scales a double-precision complex floating-point vector by a double-precision floating-point constant.

```javascript
var Complex128Array = require( '@stdlib/array-complex128' );
var real = require( '@stdlib/complex-float64-real' );
var imag = require( '@stdlib/complex-float64-imag' );

var zx = new Complex128Array( [ 1.0, 1.0, 1.0, 1.0, 1.0, 1.0 ] );

zdscal( 3, 2.0, zx, 1 );

var z = zx.get( 0 );
// returns

var re = real( z );
// returns 2.0

var im = imag( z );
// returns 2.0
```

The function has the following parameters:

- **N**: number of indexed elements.
- **da**: scalar constant.
- **zx**: input [`Complex128Array`][@stdlib/array/complex128].
- **strideZX**: stride length for `zx`.

The `N` and stride parameters determine which elements in `zx` are scaled by `da`. For example, to scale every other element in `zx` by `da`,

```javascript
var Complex128Array = require( '@stdlib/array-complex128' );
var real = require( '@stdlib/complex-float64-real' );
var imag = require( '@stdlib/complex-float64-imag' );

var zx = new Complex128Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0 ] );

zdscal( 2, 2.0, zx, 2 );

var z = zx.get( 2 );
// returns

var re = real( z );
// returns 10.0

var im = imag( z );
// returns 12.0
```

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

```javascript
var Complex128Array = require( '@stdlib/array-complex128' );
var real = require( '@stdlib/complex-float64-real' );
var imag = require( '@stdlib/complex-float64-imag' );

// Initial array:
var zx0 = new Complex128Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0 ] );

// Create an offset view:
var zx1 = new Complex128Array( zx0.buffer, zx0.BYTES_PER_ELEMENT*1 ); // start at 2nd element

// Scale every element in `zx1`:
zdscal( 3, 2.0, zx1, 1 );

var z = zx0.get( 0 );
// returns

var re = real( z );
// returns 1.0

var im = imag( z );
// returns 2.0

z = zx0.get( 1 );
// returns

re = real( z );
// returns 6.0

im = imag( z );
// returns 8.0
```

#### zdscal.ndarray( N, da, zx, strideZX, offsetZX )

Scales a double-precision complex floating-point vector by a double-precision floating-point constant using alternative indexing semantics.

```javascript
var Complex128Array = require( '@stdlib/array-complex128' );
var real = require( '@stdlib/complex-float64-real' );
var imag = require( '@stdlib/complex-float64-imag' );

var zx = new Complex128Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] );

zdscal.ndarray( 3, 2.0, zx, 1, 0 );

var z = zx.get( 0 );
// returns

var re = real( z );
// returns 2.0

var im = imag( z );
// returns 4.0
```

The function has the following additional parameters:

- **offsetZX**: starting index for `zx`.

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 scale every other element in the input strided array starting from the second element,

```javascript
var Complex128Array = require( '@stdlib/array-complex128' );
var real = require( '@stdlib/complex-float64-real' );
var imag = require( '@stdlib/complex-float64-imag' );

var zx = new Complex128Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0 ] );

zdscal.ndarray( 2, 2.0, zx, 2, 1 );

var z = zx.get( 3 );
// returns

var re = real( z );
// returns 14.0

var im = imag( z );
// returns 16.0
```

## Notes

- If `N <= 0`, both functions return `zx` unchanged.
- `zdscal()` corresponds to the [BLAS][blas] level 1 function [`zdscal`][zdscal].

## Examples

```javascript
var discreteUniform = require( '@stdlib/random-base-discrete-uniform' );
var filledarrayBy = require( '@stdlib/array-filled-by' );
var Complex128 = require( '@stdlib/complex-float64-ctor' );
var zdscal = require( '@stdlib/blas-base-zdscal' );

function rand() {
return new Complex128( discreteUniform( 0, 10 ), discreteUniform( -5, 5 ) );
}

var zx = filledarrayBy( 10, 'complex128', rand );
console.log( zx.toString() );

zdscal( zx.length, 2.0, zx, 1 );
console.log( zx.toString() );
```

* * *

## Notice

This package is part of [stdlib][stdlib], a standard library for JavaScript and Node.js, with an emphasis on numerical and scientific computing. The library provides a collection of robust, high performance libraries for mathematics, statistics, streams, utilities, and more.

For more information on the project, filing bug reports and feature requests, and guidance on how to develop [stdlib][stdlib], see the main project [repository][stdlib].

#### Community

[![Chat][chat-image]][chat-url]

---

## License

See [LICENSE][stdlib-license].

## Copyright

Copyright © 2016-2025. The Stdlib [Authors][stdlib-authors].

[npm-image]: http://img.shields.io/npm/v/@stdlib/blas-base-zdscal.svg
[npm-url]: https://npmjs.org/package/@stdlib/blas-base-zdscal

[test-image]: https://github.com/stdlib-js/blas-base-zdscal/actions/workflows/test.yml/badge.svg?branch=main
[test-url]: https://github.com/stdlib-js/blas-base-zdscal/actions/workflows/test.yml?query=branch:main

[coverage-image]: https://img.shields.io/codecov/c/github/stdlib-js/blas-base-zdscal/main.svg
[coverage-url]: https://codecov.io/github/stdlib-js/blas-base-zdscal?branch=main

[chat-image]: https://img.shields.io/gitter/room/stdlib-js/stdlib.svg
[chat-url]: https://app.gitter.im/#/room/#stdlib-js_stdlib:gitter.im

[stdlib]: https://github.com/stdlib-js/stdlib

[stdlib-authors]: https://github.com/stdlib-js/stdlib/graphs/contributors

[umd]: https://github.com/umdjs/umd
[es-module]: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Guide/Modules

[deno-url]: https://github.com/stdlib-js/blas-base-zdscal/tree/deno
[deno-readme]: https://github.com/stdlib-js/blas-base-zdscal/blob/deno/README.md
[umd-url]: https://github.com/stdlib-js/blas-base-zdscal/tree/umd
[umd-readme]: https://github.com/stdlib-js/blas-base-zdscal/blob/umd/README.md
[esm-url]: https://github.com/stdlib-js/blas-base-zdscal/tree/esm
[esm-readme]: https://github.com/stdlib-js/blas-base-zdscal/blob/esm/README.md
[branches-url]: https://github.com/stdlib-js/blas-base-zdscal/blob/main/branches.md

[stdlib-license]: https://raw.githubusercontent.com/stdlib-js/blas-base-zdscal/main/LICENSE

[blas]: http://www.netlib.org/blas

[zdscal]: https://www.netlib.org/lapack/explore-html/d2/de8/group__scal_ga40d50a435a5fcf16cf41fa80d746819f.html#ga40d50a435a5fcf16cf41fa80d746819f

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

[@stdlib/array/complex128]: https://github.com/stdlib-js/array-complex128