{"id":28329332,"url":"https://github.com/stdlib-js/blas-ext-base-sapxsumkbn2","last_synced_at":"2026-03-14T18:01:32.382Z","repository":{"id":41378933,"uuid":"377253202","full_name":"stdlib-js/blas-ext-base-sapxsumkbn2","owner":"stdlib-js","description":"Add a constant to each single-precision floating-point strided array element and compute the sum using a second-order iterative Kahan–Babuška algorithm.","archived":false,"fork":false,"pushed_at":"2025-05-25T10:25:32.000Z","size":859,"stargazers_count":1,"open_issues_count":0,"forks_count":0,"subscribers_count":3,"default_branch":"main","last_synced_at":"2025-06-24T22:39:18.562Z","etag":null,"topics":["blas","compensated","extended","javascript","kahan","kbn","math","mathematics","node","node-js","nodejs","statistics","stats","stdlib","strided","strided-array","sum","summation","total","typed"],"latest_commit_sha":null,"homepage":"","language":"JavaScript","has_issues":false,"has_wiki":null,"has_pages":null,"mirror_url":null,"source_name":null,"license":"apache-2.0","status":null,"scm":"git","pull_requests_enabled":true,"icon_url":"https://github.com/stdlib-js.png","metadata":{"files":{"readme":"README.md","changelog":"CHANGELOG.md","contributing":"CONTRIBUTING.md","funding":null,"license":"LICENSE","code_of_conduct":"CODE_OF_CONDUCT.md","threat_model":null,"audit":null,"citation":"CITATION.cff","codeowners":null,"security":"SECURITY.md","support":null,"governance":null,"roadmap":null,"authors":null,"dei":null,"publiccode":null,"codemeta":null,"zenodo":null},"funding":{"github":["stdlib-js"],"open_collective":"stdlib","tidelift":"npm/@stdlib/stdlib"}},"created_at":"2021-06-15T18:04:58.000Z","updated_at":"2025-05-25T10:24:25.000Z","dependencies_parsed_at":"2023-09-24T05:58:51.461Z","dependency_job_id":"a831b765-65d4-4016-a569-d5e30d11ef5c","html_url":"https://github.com/stdlib-js/blas-ext-base-sapxsumkbn2","commit_stats":{"total_commits":55,"total_committers":1,"mean_commits":55.0,"dds":0.0,"last_synced_commit":"827972d353d8efaf6858b97325aef04cae3f1a83"},"previous_names":[],"tags_count":34,"template":false,"template_full_name":null,"purl":"pkg:github/stdlib-js/blas-ext-base-sapxsumkbn2","repository_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/stdlib-js%2Fblas-ext-base-sapxsumkbn2","tags_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/stdlib-js%2Fblas-ext-base-sapxsumkbn2/tags","releases_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/stdlib-js%2Fblas-ext-base-sapxsumkbn2/releases","manifests_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/stdlib-js%2Fblas-ext-base-sapxsumkbn2/manifests","owner_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners/stdlib-js","download_url":"https://codeload.github.com/stdlib-js/blas-ext-base-sapxsumkbn2/tar.gz/refs/heads/main","sbom_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/stdlib-js%2Fblas-ext-base-sapxsumkbn2/sbom","host":{"name":"GitHub","url":"https://github.com","kind":"github","repositories_count":264785988,"owners_count":23663864,"icon_url":"https://github.com/github.png","version":null,"created_at":"2022-05-30T11:31:42.601Z","updated_at":"2022-07-04T15:15:14.044Z","host_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub","repositories_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories","repository_names_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repository_names","owners_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners"}},"keywords":["blas","compensated","extended","javascript","kahan","kbn","math","mathematics","node","node-js","nodejs","statistics","stats","stdlib","strided","strided-array","sum","summation","total","typed"],"created_at":"2025-05-26T11:11:53.769Z","updated_at":"2026-03-14T18:01:32.375Z","avatar_url":"https://github.com/stdlib-js.png","language":"JavaScript","funding_links":["https://github.com/sponsors/stdlib-js","https://opencollective.com/stdlib","https://tidelift.com/funding/github/npm/@stdlib/stdlib"],"categories":[],"sub_categories":[],"readme":"\u003c!--\n\n@license Apache-2.0\n\nCopyright (c) 2020 The Stdlib Authors.\n\nLicensed under the Apache License, Version 2.0 (the \"License\");\nyou may not use this file except in compliance with the License.\nYou may obtain a copy of the License at\n\n   http://www.apache.org/licenses/LICENSE-2.0\n\nUnless required by applicable law or agreed to in writing, software\ndistributed under the License is distributed on an \"AS IS\" BASIS,\nWITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.\nSee the License for the specific language governing permissions and\nlimitations under the License.\n\n--\u003e\n\n\n\u003cdetails\u003e\n  \u003csummary\u003e\n    About stdlib...\n  \u003c/summary\u003e\n  \u003cp\u003eWe 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.\u003c/p\u003e\n  \u003cp\u003eThe 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.\u003c/p\u003e\n  \u003cp\u003eWhen 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.\u003c/p\u003e\n  \u003cp\u003eTo join us in bringing numerical computing to the web, get started by checking us out on \u003ca href=\"https://github.com/stdlib-js/stdlib\"\u003eGitHub\u003c/a\u003e, and please consider \u003ca href=\"https://opencollective.com/stdlib\"\u003efinancially supporting stdlib\u003c/a\u003e. We greatly appreciate your continued support!\u003c/p\u003e\n\u003c/details\u003e\n\n# sapxsumkbn2\n\n[![NPM version][npm-image]][npm-url] [![Build Status][test-image]][test-url] [![Coverage Status][coverage-image]][coverage-url] \u003c!-- [![dependencies][dependencies-image]][dependencies-url] --\u003e\n\n\u003e Add a scalar constant to each single-precision floating-point strided array element and compute the sum using a second-order iterative Kahan–Babuška algorithm.\n\n\u003csection class=\"intro\"\u003e\n\n\u003c/section\u003e\n\n\u003c!-- /.intro --\u003e\n\n\u003csection class=\"installation\"\u003e\n\n## Installation\n\n```bash\nnpm install @stdlib/blas-ext-base-sapxsumkbn2\n```\n\nAlternatively,\n\n-   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]).\n-   If you are using Deno, visit the [`deno`][deno-url] branch (see [README][deno-readme] for usage intructions).\n-   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]).\n\nThe [branches.md][branches-url] file summarizes the available branches and displays a diagram illustrating their relationships.\n\nTo 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.\n\n\u003c/section\u003e\n\n\u003csection class=\"usage\"\u003e\n\n## Usage\n\n```javascript\nvar sapxsumkbn2 = require( '@stdlib/blas-ext-base-sapxsumkbn2' );\n```\n\n#### sapxsumkbn2( N, alpha, x, strideX )\n\nAdds a scalar constant to each single-precision floating-point strided array element and computes the sum using a second-order iterative Kahan–Babuška algorithm.\n\n```javascript\nvar Float32Array = require( '@stdlib/array-float32' );\n\nvar x = new Float32Array( [ 1.0, -2.0, 2.0 ] );\n\nvar v = sapxsumkbn2( x.length, 5.0, x, 1 );\n// returns 16.0\n```\n\nThe function has the following parameters:\n\n-   **N**: number of indexed elements.\n-   **alpha**: scalar constant.\n-   **x**: input [`Float32Array`][@stdlib/array/float32].\n-   **strideX**: stride length.\n\nThe `N` and stride parameters determine which elements in the strided array are accessed at runtime. For example, to access every other element:\n\n```javascript\nvar Float32Array = require( '@stdlib/array-float32' );\n\nvar x = new Float32Array( [ 1.0, 2.0, 2.0, -7.0, -2.0, 3.0, 4.0, 2.0 ] );\n\nvar v = sapxsumkbn2( 4, 5.0, x, 2 );\n// returns 25.0\n```\n\nNote that indexing is relative to the first index. To introduce an offset, use [`typed array`][mdn-typed-array] views.\n\n\u003c!-- eslint-disable stdlib/capitalized-comments --\u003e\n\n```javascript\nvar Float32Array = require( '@stdlib/array-float32' );\n\nvar x0 = new Float32Array( [ 2.0, 1.0, 2.0, -2.0, -2.0, 2.0, 3.0, 4.0 ] );\nvar x1 = new Float32Array( x0.buffer, x0.BYTES_PER_ELEMENT*1 ); // start at 2nd element\n\nvar v = sapxsumkbn2( 4, 5.0, x1, 2 );\n// returns 25.0\n```\n\n#### sapxsumkbn2.ndarray( N, alpha, x, strideX, offsetX )\n\nAdds a scalar constant to each single-precision floating-point strided array element and computes the sum using a second-order iterative Kahan–Babuška algorithm and alternative indexing semantics.\n\n```javascript\nvar Float32Array = require( '@stdlib/array-float32' );\n\nvar x = new Float32Array( [ 1.0, -2.0, 2.0 ] );\n\nvar v = sapxsumkbn2.ndarray( x.length, 5.0, x, 1, 0 );\n// returns 16.0\n```\n\nThe function has the following additional parameters:\n\n-   **offsetX**: starting index.\n\nWhile [`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:\n\n```javascript\nvar Float32Array = require( '@stdlib/array-float32' );\n\nvar x = new Float32Array( [ 2.0, 1.0, 2.0, -2.0, -2.0, 2.0, 3.0, 4.0 ] );\n\nvar v = sapxsumkbn2.ndarray( 4, 5.0, x, 2, 1 );\n// returns 25.0\n```\n\n\u003c/section\u003e\n\n\u003c!-- /.usage --\u003e\n\n\u003csection class=\"notes\"\u003e\n\n## Notes\n\n-   If `N \u003c= 0`, both functions return `0.0`.\n\n\u003c/section\u003e\n\n\u003c!-- /.notes --\u003e\n\n\u003csection class=\"examples\"\u003e\n\n## Examples\n\n\u003c!-- eslint no-undef: \"error\" --\u003e\n\n```javascript\nvar discreteUniform = require( '@stdlib/random-array-discrete-uniform' );\nvar sapxsumkbn2 = require( '@stdlib/blas-ext-base-sapxsumkbn2' );\n\nvar x = discreteUniform( 10, -100, 100, {\n    'dtype': 'float32'\n});\nconsole.log( x );\n\nvar v = sapxsumkbn2( x.length, 5.0, x, 1 );\nconsole.log( v );\n```\n\n\u003c/section\u003e\n\n\u003c!-- /.examples --\u003e\n\n\u003c!-- C interface documentation. --\u003e\n\n* * *\n\n\u003csection class=\"c\"\u003e\n\n## C APIs\n\n\u003c!-- Section to include introductory text. Make sure to keep an empty line after the intro `section` element and another before the `/section` close. --\u003e\n\n\u003csection class=\"intro\"\u003e\n\n\u003c/section\u003e\n\n\u003c!-- /.intro --\u003e\n\n\u003c!-- C usage documentation. --\u003e\n\n\u003csection class=\"usage\"\u003e\n\n### Usage\n\n```c\n#include \"stdlib/blas/ext/base/sapxsumkbn2.h\"\n```\n\n#### stdlib_strided_sapxsumkbn2( N, alpha, \\*X, strideX )\n\nAdds a scalar constant to each single-precision floating-point strided array element and computes the sum using a second-order iterative Kahan–Babuška algorithm.\n\n```c\nconst float x[] = { 1.0f, 2.0f, 3.0f, 4.0f };\n\nfloat v = stdlib_strided_sapxsumkbn2( 4, 5.0f, x, 1 );\n// returns 30.0f\n```\n\nThe function accepts the following arguments:\n\n-   **N**: `[in] CBLAS_INT` number of indexed elements.\n-   **alpha**: `[in] float` scalar constant.\n-   **X**: `[in] float*` input array.\n-   **strideX**: `[in] CBLAS_INT` stride length.\n\n```c\nfloat stdlib_strided_sapxsumkbn2( const CBLAS_INT N, const float alpha, const float *X, const CBLAS_INT strideX );\n```\n\n#### stdlib_strided_sapxsumkbn2_ndarray( N, alpha, \\*X, strideX, offsetX )\n\nAdds a scalar constant to each single-precision floating-point strided array element and computes the sum using a second-order iterative Kahan–Babuška algorithm and alternative indexing semantics.\n\n```c\nconst float x[] = { 1.0f, 2.0f, 3.0f, 4.0f };\n\nfloat v = stdlib_strided_sapxsumkbn2_ndarray( 4, 5.0f, x, 1, 0 );\n// returns 30.0f\n```\n\nThe function accepts the following arguments:\n\n-   **N**: `[in] CBLAS_INT` number of indexed elements.\n-   **alpha**: `[in] float` scalar constant.\n-   **X**: `[in] float*` input array.\n-   **strideX**: `[in] CBLAS_INT` stride length.\n-   **offsetX**: `[in] CBLAS_INT` starting index.\n\n```c\nfloat stdlib_strided_sapxsumkbn2_ndarray( const CBLAS_INT N, const float alpha, const float *X, const CBLAS_INT strideX, const CBLAS_INT offsetX );\n```\n\n\u003c/section\u003e\n\n\u003c!-- /.usage --\u003e\n\n\u003c!-- C API usage notes. Make sure to keep an empty line after the `section` element and another before the `/section` close. --\u003e\n\n\u003csection class=\"notes\"\u003e\n\n\u003c/section\u003e\n\n\u003c!-- /.notes --\u003e\n\n\u003c!-- C API usage examples. --\u003e\n\n\u003csection class=\"examples\"\u003e\n\n### Examples\n\n```c\n#include \"stdlib/blas/ext/base/sapxsumkbn2.h\"\n#include \u003cstdio.h\u003e\n\nint main( void ) {\n    // Create a strided array:\n    const float x[] = { 1.0f, -2.0f, 3.0f, -4.0f, 5.0f, -6.0f, 7.0f, -8.0f };\n\n    // Specify the number of indexed elements:\n    const int N = 8;\n\n    // Specify a stride:\n    const int strideX = 1;\n\n    // Compute the sum:\n    float v = stdlib_strided_sapxsumkbn2( N, 5.0f, x, strideX );\n\n    // Print the result:\n    printf( \"Sum: %f\\n\", v );\n}\n```\n\n\u003c/section\u003e\n\n\u003c!-- /.examples --\u003e\n\n\u003c/section\u003e\n\n\u003c!-- /.c --\u003e\n\n\u003csection class=\"references\"\u003e\n\n## References\n\n-   Klein, Andreas. 2005. \"A Generalized Kahan-Babuška-Summation-Algorithm.\" _Computing_ 76 (3): 279–93. doi:[10.1007/s00607-005-0139-x][@klein:2005a].\n\n\u003c/section\u003e\n\n\u003c!-- /.references --\u003e\n\n\u003c!-- Section for related `stdlib` packages. Do not manually edit this section, as it is automatically populated. --\u003e\n\n\u003csection class=\"related\"\u003e\n\n* * *\n\n## See Also\n\n-   \u003cspan class=\"package-name\"\u003e[`@stdlib/blas-ext/base/dapxsumkbn2`][@stdlib/blas/ext/base/dapxsumkbn2]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003eadd a scalar constant to each double-precision floating-point strided array element and compute the sum using a second-order iterative Kahan–Babuška algorithm.\u003c/span\u003e\n-   \u003cspan class=\"package-name\"\u003e[`@stdlib/blas-ext/base/gapxsumkbn2`][@stdlib/blas/ext/base/gapxsumkbn2]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003eadd a scalar constant to each strided array element and compute the sum using a second-order iterative Kahan–Babuška algorithm.\u003c/span\u003e\n-   \u003cspan class=\"package-name\"\u003e[`@stdlib/blas-ext/base/sapxsum`][@stdlib/blas/ext/base/sapxsum]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003eadd a constant to each single-precision floating-point strided array element and compute the sum.\u003c/span\u003e\n-   \u003cspan class=\"package-name\"\u003e[`@stdlib/blas-ext/base/ssumkbn2`][@stdlib/blas/ext/base/ssumkbn2]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecalculate the sum of single-precision floating-point strided array elements using a second-order iterative Kahan–Babuška algorithm.\u003c/span\u003e\n\n\u003c/section\u003e\n\n\u003c!-- /.related --\u003e\n\n\u003c!-- Section for all links. Make sure to keep an empty line after the `section` element and another before the `/section` close. --\u003e\n\n\n\u003csection class=\"main-repo\" \u003e\n\n* * *\n\n## Notice\n\nThis 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.\n\nFor 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].\n\n#### Community\n\n[![Chat][chat-image]][chat-url]\n\n---\n\n## License\n\nSee [LICENSE][stdlib-license].\n\n\n## Copyright\n\nCopyright \u0026copy; 2016-2026. The Stdlib [Authors][stdlib-authors].\n\n\u003c/section\u003e\n\n\u003c!-- /.stdlib --\u003e\n\n\u003c!-- Section for all links. Make sure to keep an empty line after the `section` element and another before the `/section` close. --\u003e\n\n\u003csection class=\"links\"\u003e\n\n[npm-image]: http://img.shields.io/npm/v/@stdlib/blas-ext-base-sapxsumkbn2.svg\n[npm-url]: https://npmjs.org/package/@stdlib/blas-ext-base-sapxsumkbn2\n\n[test-image]: https://github.com/stdlib-js/blas-ext-base-sapxsumkbn2/actions/workflows/test.yml/badge.svg?branch=main\n[test-url]: https://github.com/stdlib-js/blas-ext-base-sapxsumkbn2/actions/workflows/test.yml?query=branch:main\n\n[coverage-image]: https://img.shields.io/codecov/c/github/stdlib-js/blas-ext-base-sapxsumkbn2/main.svg\n[coverage-url]: https://codecov.io/github/stdlib-js/blas-ext-base-sapxsumkbn2?branch=main\n\n\u003c!--\n\n[dependencies-image]: https://img.shields.io/david/stdlib-js/blas-ext-base-sapxsumkbn2.svg\n[dependencies-url]: https://david-dm.org/stdlib-js/blas-ext-base-sapxsumkbn2/main\n\n--\u003e\n\n[chat-image]: https://img.shields.io/badge/zulip-join_chat-brightgreen.svg\n[chat-url]: https://stdlib.zulipchat.com\n\n[stdlib]: https://github.com/stdlib-js/stdlib\n\n[stdlib-authors]: https://github.com/stdlib-js/stdlib/graphs/contributors\n\n[umd]: https://github.com/umdjs/umd\n[es-module]: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Guide/Modules\n\n[deno-url]: https://github.com/stdlib-js/blas-ext-base-sapxsumkbn2/tree/deno\n[deno-readme]: https://github.com/stdlib-js/blas-ext-base-sapxsumkbn2/blob/deno/README.md\n[umd-url]: https://github.com/stdlib-js/blas-ext-base-sapxsumkbn2/tree/umd\n[umd-readme]: https://github.com/stdlib-js/blas-ext-base-sapxsumkbn2/blob/umd/README.md\n[esm-url]: https://github.com/stdlib-js/blas-ext-base-sapxsumkbn2/tree/esm\n[esm-readme]: https://github.com/stdlib-js/blas-ext-base-sapxsumkbn2/blob/esm/README.md\n[branches-url]: https://github.com/stdlib-js/blas-ext-base-sapxsumkbn2/blob/main/branches.md\n\n[stdlib-license]: https://raw.githubusercontent.com/stdlib-js/blas-ext-base-sapxsumkbn2/main/LICENSE\n\n[@stdlib/array/float32]: https://github.com/stdlib-js/array-float32\n\n[mdn-typed-array]: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/TypedArray\n\n[@klein:2005a]: https://doi.org/10.1007/s00607-005-0139-x\n\n\u003c!-- \u003crelated-links\u003e --\u003e\n\n[@stdlib/blas/ext/base/dapxsumkbn2]: https://github.com/stdlib-js/blas-ext-base-dapxsumkbn2\n\n[@stdlib/blas/ext/base/gapxsumkbn2]: https://github.com/stdlib-js/blas-ext-base-gapxsumkbn2\n\n[@stdlib/blas/ext/base/sapxsum]: https://github.com/stdlib-js/blas-ext-base-sapxsum\n\n[@stdlib/blas/ext/base/ssumkbn2]: https://github.com/stdlib-js/blas-ext-base-ssumkbn2\n\n\u003c!-- \u003c/related-links\u003e --\u003e\n\n\u003c/section\u003e\n\n\u003c!-- /.links --\u003e\n","project_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fstdlib-js%2Fblas-ext-base-sapxsumkbn2","html_url":"https://awesome.ecosyste.ms/projects/github.com%2Fstdlib-js%2Fblas-ext-base-sapxsumkbn2","lists_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fstdlib-js%2Fblas-ext-base-sapxsumkbn2/lists"}