@stdlib/blas-base-gasum

Compute the sum of absolute values (L1 norm).

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

Science Score: 44.0%

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Keywords

abs absolute algebra blas javascript l1norm level-1 linear manhattan math mathematics node node-js nodejs norm stdlib subroutines sum taxicab value

Last synced: 4 months ago · JSON representation ·

Repository

Compute the sum of absolute values (L1 norm).

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Host: GitHub
Owner: stdlib-js
License: apache-2.0
Language: JavaScript
Default Branch: main
Homepage: https://github.com/stdlib-js/stdlib
Size: 567 KB

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abs absolute algebra blas javascript l1norm level-1 linear manhattan math mathematics node node-js nodejs norm stdlib subroutines sum taxicab value

Created over 4 years ago · Last pushed 7 months ago

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Readme Changelog Contributing License Code of conduct Citation Security

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.

The library is fully decomposable, being architected in such a way that you can swap out and mix and match APIs and functionality to cater to your exact preferences and use cases.

When you use stdlib, you can be absolutely certain that you are using the most thorough, rigorous, well-written, studied, documented, tested, measured, and high-quality code out there.

To join us in bringing numerical computing to the web, get started by checking us out on GitHub, and please consider financially supporting stdlib. We greatly appreciate your continued support!

gasum

Compute the sum of absolute values (L1 norm).

The [_L1_ norm][l1norm] is defined as ```math \|\mathbf{x}\|_1 = \sum_{i=0}^{n-1} \vert x_i \vert ```

## Installation ```bash npm install @stdlib/blas-base-gasum ``` 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 gasum = require( '@stdlib/blas-base-gasum' ); ``` #### gasum( N, x, stride ) Computes the sum of [absolute values][@stdlib/math/base/special/abs]. ```javascript var x = [ -2.0, 1.0, 3.0, -5.0, 4.0, 0.0, -1.0, -3.0 ]; var sum = gasum( x.length, x, 1 ); // returns 19.0 ``` The function has the following parameters: - **N**: number of indexed elements. - **x**: input [`Array`][mdn-array] or [`typed array`][mdn-typed-array]. - **stride**: index increment. The `N` and `stride` parameters determine which elements in `x` are used to compute the sum. For example, to sum every other value, ```javascript var x = [ -2.0, 1.0, 3.0, -5.0, 4.0, 0.0, -1.0, -3.0 ]; var sum = gasum( 4, x, 2 ); // returns 10.0 ``` Note that indexing is relative to the first index. To introduce an offset, use [`typed array`][mdn-typed-array] views. ```javascript var Float64Array = require( '@stdlib/array-float64' ); // Initial array... var x0 = new Float64Array( [ 1.0, -2.0, 3.0, -4.0, 5.0, -6.0 ] ); // Create an offset view... var x1 = new Float64Array( x0.buffer, x0.BYTES_PER_ELEMENT*1 ); // start at 2nd element // Sum every other value... var sum = gasum( 3, x1, 2 ); // returns 12.0 ``` If either `N` or `stride` is less than or equal to `0`, the function returns `0`. #### gasum.ndarray( N, x, stride, offset ) Computes the sum of [absolute values][@stdlib/math/base/special/abs] using alternative indexing semantics. ```javascript var x = [ -2.0, 1.0, 3.0, -5.0, 4.0, 0.0, -1.0, -3.0 ]; var sum = gasum.ndarray( x.length, x, 1, 0 ); // returns 19.0 ``` The function has the following additional parameters: - **offset**: 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 sum the last three elements, ```javascript var Float64Array = require( '@stdlib/array-float64' ); var x = new Float64Array( [ 1.0, -2.0, 3.0, -4.0, 5.0, -6.0 ] ); var sum = gasum.ndarray( 3, x, 1, x.length-3 ); // returns 15.0 // Using a negative stride to sum from the last element: sum = gasum.ndarray( 3, x, -1, x.length-1 ); // returns 15.0 ```

## Notes - If `N <= 0`, both functions return `0`. - `gasum()` corresponds to the [BLAS][blas] level 1 function [`dasum`][dasum] with the exception that this implementation works with any array type, not just Float64Arrays. Depending on the environment, the typed versions ([`dasum`][@stdlib/blas/base/dasum], [`sasum`][@stdlib/blas/base/sasum], etc.) are likely to be significantly more performant. - 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]).

## Examples ```javascript var discreteUniform = require( '@stdlib/random-array-discrete-uniform' ); var gasum = require( '@stdlib/blas-base-gasum' ); var opts = { 'dtype': 'generic' }; var x = discreteUniform( 10, -100, 100, opts ); console.log( x ); var y = gasum( x.length, x, 1 ); console.log( y ); ```

* * * ## 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].

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Name: stdlib
Login: stdlib-js
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Website: https://stdlib.io
Twitter: stdlibjs
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Standard library for JavaScript.

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cff-version: 1.2.0
title: stdlib
message: >-
  If you use this software, please cite it using the
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type: software

authors:
  - name: The Stdlib Authors
    url: https://github.com/stdlib-js/stdlib/graphs/contributors

repository-code: https://github.com/stdlib-js/stdlib
url: https://stdlib.io

abstract: |
  Standard library for JavaScript and Node.js.

keywords:
  - JavaScript
  - Node.js
  - TypeScript
  - standard library
  - scientific computing
  - numerical computing
  - statistical computing

license: Apache-2.0 AND BSL-1.0

date-released: 2016

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npmjs.org: @stdlib/blas-base-gasum

Compute the sum of absolute values (L1 norm).

Homepage: https://stdlib.io
License: Apache-2.0
Latest release: 0.2.2
published over 1 year ago

Versions: 11
Dependent Packages: 2
Dependent Repositories: 1
Downloads: 30 Last month

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Average: 12.9%

Stargazers count: 14.5%

Downloads: 15.3%

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planeshifter rreusser stdlib-bot kgryte

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package.json npm

@stdlib/array-float64 ^0.0.x development
@stdlib/bench ^0.0.x development
@stdlib/math-base-assert-is-nan ^0.0.x development
@stdlib/math-base-special-floor ^0.0.x development
@stdlib/math-base-special-pow ^0.0.x development
@stdlib/math-base-special-round ^0.0.x development
@stdlib/random-base-randu ^0.0.x development
istanbul ^0.4.1 development
tap-spec 5.x.x development
tape git+https://github.com/kgryte/tape.git#fix/globby development
@stdlib/math-base-special-abs ^0.0.x
@stdlib/types ^0.0.x
@stdlib/utils-define-nonenumerable-read-only-property ^0.0.x

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@stdlib/blas-base-gasum

Science Score: 44.0%

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gasum

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