npm package: @stdlib/blas-ext-base-gapxsumors
Description: Add a scalar constant to each strided array element and compute the sum using ordinary recursive summation.
Author: The Stdlib Authors
Latest version: 0.3.1

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<details>
  <summary>
    About stdlib...
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</details>

# gapxsumors

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

> Add a scalar constant to each strided array element and compute the sum using ordinary recursive summation.

<section class="intro">

</section>

<!-- /.intro -->

<section class="installation">

## Installation

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

</section>

<section class="usage">

## Usage

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

#### gapxsumors( N, alpha, x, strideX )

Adds a scalar constant to each strided array element and computes the sum using ordinary recursive summation.

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

var v = gapxsumors( x.length, 5.0, x, 1 );
// returns 16.0
```

The function has the following parameters:

-   **N**: number of indexed elements.
-   **alpha**: scalar constant.
-   **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 access every other element:

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

var v = gapxsumors( 4, 5.0, x, 2 );
// returns 25.0
```

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 = gapxsumors( 4, 5.0, x1, 2 );
// returns 25.0
```

#### gapxsumors.ndarray( N, alpha, x, strideX, offsetX )

Adds a scalar constant to each strided array element and computes the sum using ordinary recursive summation and alternative indexing semantics.

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

var v = gapxsumors.ndarray( x.length, 5.0, x, 1, 0 );
// returns 16.0
```

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 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 = gapxsumors.ndarray( 4, 5.0, x, 2, 1 );
// returns 25.0
```

</section>

<!-- /.usage -->

<section class="notes">

## Notes

-   If `N <= 0`, both functions return `0.0`.
-   Ordinary recursive summation (i.e., a "simple" sum) is performant, but can incur significant numerical error. If performance is paramount and error tolerated, using ordinary recursive summation is acceptable; in all other cases, exercise due caution.
-   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 ([`dapxsumors`][@stdlib/blas/ext/base/dapxsumors], [`sapxsumors`][@stdlib/blas/ext/base/sapxsumors], 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 gapxsumors = require( '@stdlib/blas-ext-base-gapxsumors' );

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

var v = gapxsumors( x.length, 5.0, 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/dapxsumors`][@stdlib/blas/ext/base/dapxsumors]</span><span class="delimiter">: </span><span class="description">add a scalar constant to each double-precision floating-point strided array element and compute the sum using ordinary recursive summation.</span>
-   <span class="package-name">[`@stdlib/blas-ext/base/gapxsum`][@stdlib/blas/ext/base/gapxsum]</span><span class="delimiter">: </span><span class="description">add a scalar constant to each strided array element and compute the sum.</span>
-   <span class="package-name">[`@stdlib/blas-ext/base/gsumors`][@stdlib/blas/ext/base/gsumors]</span><span class="delimiter">: </span><span class="description">calculate the sum of strided array elements using ordinary recursive summation.</span>
-   <span class="package-name">[`@stdlib/blas-ext/base/sapxsumors`][@stdlib/blas/ext/base/sapxsumors]</span><span class="delimiter">: </span><span class="description">add a scalar constant to each single-precision floating-point strided array element and compute the sum using ordinary recursive summation.</span>

</section>

<!-- /.related -->

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

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

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

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

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

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

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

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

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

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

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</section>

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