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https://github.com/stdlib-js/stats-incr-sumprod

Compute a sum of products incrementally.
https://github.com/stdlib-js/stats-incr-sumprod

accumulator dot dot-product incremental javascript math mathematics node node-js nodejs prod product statistics stats stdlib sum sum-product summation total

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Compute a sum of products incrementally.

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# incrsumprod

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

> Compute a sum of products incrementally.

The sum of products is defined as

```math
s = \sum_{i=0}^{n-1} x_i y_i
```

## Installation

```bash
npm install @stdlib/stats-incr-sumprod
```

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 incrsumprod = require( '@stdlib/stats-incr-sumprod' );
```

#### incrsumprod()

Returns an accumulator `function` which incrementally computes a sum of products.

```javascript
var accumulator = incrsumprod();
```

#### accumulator( \[x, y] )

If provided input values `x` and `y`, the accumulator function returns an updated sum. If not provided input value `x` and `y`, the accumulator function returns the current sum.

```javascript
var accumulator = incrsumprod();

var sum = accumulator( 2.0, 3.0 );
// returns 6.0

sum = accumulator( 1.0, -1.0 );
// returns 5.0

sum = accumulator( 3.0, 4.0 );
// returns 17.0

sum = accumulator();
// returns 17.0
```

## Notes

- Input values are **not** type checked. If provided `NaN` or a value which, when used in computations, results in `NaN`, the accumulated value is `NaN` for **all** future invocations. If non-numeric inputs are possible, you are advised to type check and handle accordingly **before** passing the value to the accumulator function.
- For long running accumulations or accumulations of large numbers, care should be taken to prevent overflow.

## Examples

```javascript
var randu = require( '@stdlib/random-base-randu' );
var incrsumprod = require( '@stdlib/stats-incr-sumprod' );

var accumulator;
var v1;
var v2;
var i;

// Initialize an accumulator:
accumulator = incrsumprod();

// For each simulated datum, update the sum-product...
for ( i = 0; i < 100; i++ ) {
v1 = randu() * 100.0;
v2 = randu() * 100.0;
accumulator( v1, v2 );
}
console.log( accumulator() );
```

* * *

## See Also

- [`@stdlib/stats-incr/msumprod`][@stdlib/stats/incr/msumprod]: compute a moving sum of products incrementally.
- [`@stdlib/stats-incr/prod`][@stdlib/stats/incr/prod]: compute a product incrementally.
- [`@stdlib/stats-incr/sum`][@stdlib/stats/incr/sum]: compute a sum incrementally.

* * *

## 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/stats-incr-sumprod.svg
[npm-url]: https://npmjs.org/package/@stdlib/stats-incr-sumprod

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

[coverage-image]: https://img.shields.io/codecov/c/github/stdlib-js/stats-incr-sumprod/main.svg
[coverage-url]: https://codecov.io/github/stdlib-js/stats-incr-sumprod?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/stats-incr-sumprod/tree/deno
[deno-readme]: https://github.com/stdlib-js/stats-incr-sumprod/blob/deno/README.md
[umd-url]: https://github.com/stdlib-js/stats-incr-sumprod/tree/umd
[umd-readme]: https://github.com/stdlib-js/stats-incr-sumprod/blob/umd/README.md
[esm-url]: https://github.com/stdlib-js/stats-incr-sumprod/tree/esm
[esm-readme]: https://github.com/stdlib-js/stats-incr-sumprod/blob/esm/README.md
[branches-url]: https://github.com/stdlib-js/stats-incr-sumprod/blob/main/branches.md

[stdlib-license]: https://raw.githubusercontent.com/stdlib-js/stats-incr-sumprod/main/LICENSE

[@stdlib/stats/incr/msumprod]: https://github.com/stdlib-js/stats-incr-msumprod

[@stdlib/stats/incr/prod]: https://github.com/stdlib-js/stats-incr-prod

[@stdlib/stats/incr/sum]: https://github.com/stdlib-js/stats-incr-sum