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<details>
  <summary>
    About stdlib...
  </summary>
  <p>We believe in a future in which the web is a preferred environment for numerical computation. To help realize this future, we've built stdlib. stdlib is a standard library, with an emphasis on numerical and scientific computation, written in JavaScript (and C) for execution in browsers and in Node.js.</p>
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</details>

# gsum

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

> Calculate the sum of strided array elements.

<section class="intro">

</section>

<!-- /.intro -->

<section class="installation">

## Installation

```bash
npm install @stdlib/blas-ext-base-gsum
```

</section>

<section class="usage">

## Usage

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

#### gsum( N, x, strideX )

Computes the sum of strided array elements.

```javascript
var x = [ 1.0, -2.0, 2.0 ];

var v = gsum( x.length, x, 1 );
// returns 1.0
```

The function has the following parameters:

-   **N**: number of indexed elements.
-   **x**: input [`Array`][mdn-array] or [`typed array`][mdn-typed-array].
-   **strideX**: stride length.

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

```javascript
var x = [ 1.0, 2.0, 2.0, -7.0, -2.0, 3.0, 4.0, 2.0 ];

var v = gsum( 4, x, 2 );
// returns 5.0
```

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

<!-- eslint-disable stdlib/capitalized-comments -->

```javascript
var Float64Array = require( '@stdlib/array-float64' );

var x0 = new Float64Array( [ 2.0, 1.0, 2.0, -2.0, -2.0, 2.0, 3.0, 4.0 ] );
var x1 = new Float64Array( x0.buffer, x0.BYTES_PER_ELEMENT*1 ); // start at 2nd element

var v = gsum( 4, x1, 2 );
// returns 5.0
```

#### gsum.ndarray( N, x, strideX, offsetX )

Computes the sum of strided array elements using alternative indexing semantics.

```javascript
var x = [ 1.0, -2.0, 2.0 ];

var v = gsum.ndarray( x.length, x, 1, 0 );
// returns 1.0
```

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 calculate the sum of every other element starting from the second element:

```javascript
var x = [ 2.0, 1.0, 2.0, -2.0, -2.0, 2.0, 3.0, 4.0 ];

var v = gsum.ndarray( 4, x, 2, 1 );
// returns 5.0
```

</section>

<!-- /.usage -->

<section class="notes">

## Notes

-   If `N <= 0`, both functions return `0.0`.
-   Both functions support array-like objects having getter and setter accessors for array element access (e.g., [`@stdlib/array-base/accessor`][@stdlib/array/base/accessor]).
-   Depending on the environment, the typed versions ([`dsum`][@stdlib/blas/ext/base/dsum], [`ssum`][@stdlib/blas/ext/base/ssum], etc.) are likely to be significantly more performant.

</section>

<!-- /.notes -->

<section class="examples">

## Examples

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

```javascript
var discreteUniform = require( '@stdlib/random-array-discrete-uniform' );
var gsum = require( '@stdlib/blas-ext-base-gsum' );

var x = discreteUniform( 10, -100, 100, {
    'dtype': 'float64'
});
console.log( x );

var v = gsum( x.length, x, 1 );
console.log( v );
```

</section>

<!-- /.examples -->

<section class="references">

</section>

<!-- /.references -->

<!-- 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/blas-ext/base/dsum`][@stdlib/blas/ext/base/dsum]</span><span class="delimiter">: </span><span class="description">calculate the sum of double-precision floating-point strided array elements.</span>
-   <span class="package-name">[`@stdlib/blas-ext/base/gnansum`][@stdlib/blas/ext/base/gnansum]</span><span class="delimiter">: </span><span class="description">calculate the sum of strided array elements, ignoring NaN values.</span>
-   <span class="package-name">[`@stdlib/blas-ext/base/ssum`][@stdlib/blas/ext/base/ssum]</span><span class="delimiter">: </span><span class="description">calculate the sum of single-precision floating-point strided array elements.</span>
-   <span class="package-name">[`@stdlib/stats-strided/mean`][@stdlib/stats/strided/mean]</span><span class="delimiter">: </span><span class="description">calculate the arithmetic mean of a strided array.</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="main-repo" >

* * *

## 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 &copy; 2016-2026. The Stdlib [Authors][stdlib-authors].

</section>

<!-- /.stdlib -->

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<section class="links">

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

[test-image]: https://github.com/stdlib-js/blas-ext-base-gsum/actions/workflows/test.yml/badge.svg?branch=v0.3.1
[test-url]: https://github.com/stdlib-js/blas-ext-base-gsum/actions/workflows/test.yml?query=branch:v0.3.1

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

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

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

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

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

[@stdlib/array/base/accessor]: https://www.npmjs.com/package/@stdlib/array-base-accessor

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

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

[@stdlib/blas/ext/base/dsum]: https://www.npmjs.com/package/@stdlib/blas-ext-base-dsum

[@stdlib/blas/ext/base/gnansum]: https://www.npmjs.com/package/@stdlib/blas-ext-base-gnansum

[@stdlib/blas/ext/base/ssum]: https://www.npmjs.com/package/@stdlib/blas-ext-base-ssum

[@stdlib/stats/strided/mean]: https://www.npmjs.com/package/@stdlib/stats-strided-mean

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

</section>

<!-- /.links -->
