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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-->\n\n\n<details>\n  <summary>\n    About stdlib...\n  </summary>\n  <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>\n  <p>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.</p>\n  <p>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.</p>\n  <p>To join us in bringing numerical computing to the web, get started by checking us out on <a href=\"https://github.com/stdlib-js/stdlib\">GitHub</a>, and please consider <a href=\"https://opencollective.com/stdlib\">financially supporting stdlib</a>. We greatly appreciate your continued support!</p>\n</details>\n\n# gdot\n\n[![NPM version][npm-image]][npm-url] [![Build Status][test-image]][test-url] [![Coverage Status][coverage-image]][coverage-url] <!-- [![dependencies][dependencies-image]][dependencies-url] -->\n\n> Calculate the dot product of two vectors.\n\n<section class=\"intro\">\n\nThe [dot product][dot-product] (or scalar product) is defined as\n\n<!-- <equation class=\"equation\" label=\"eq:dot_product\" align=\"center\" raw=\"\\mathbf{x}\\cdot\\mathbf{y} = \\sum_{i=0}^{N-1} x_i y_i = x_0 y_0 + x_1 y_1 + \\ldots + x_{N-1} y_{N-1}\" alt=\"Dot product definition.\"> -->\n\n<div class=\"equation\" align=\"center\" data-raw-text=\"\\mathbf{x}\\cdot\\mathbf{y} = \\sum_{i=0}^{N-1} x_i y_i = x_0 y_0 + x_1 y_1 + \\ldots + x_{N-1} y_{N-1}\" data-equation=\"eq:dot_product\">\n    <img src=\"https://cdn.jsdelivr.net/gh/stdlib-js/stdlib@6cf4829ce9c06ba9fa207a2ea3b395266f86a259/lib/node_modules/@stdlib/blas/base/gdot/docs/img/equation_dot_product.svg\" alt=\"Dot product definition.\">\n    <br>\n</div>\n\n<!-- </equation> -->\n\n</section>\n\n<!-- /.intro -->\n\n<section class=\"installation\">\n\n## Installation\n\n```bash\nnpm install @stdlib/blas-base-gdot\n```\n\n</section>\n\n<section class=\"usage\">\n\n## Usage\n\n```javascript\nvar gdot = require( '@stdlib/blas-base-gdot' );\n```\n\n#### gdot( N, x, strideX, y, strideY )\n\nCalculates the dot product of vectors `x` and `y`.\n\n```javascript\nvar x = [ 4.0, 2.0, -3.0, 5.0, -1.0 ];\nvar y = [ 2.0, 6.0, -1.0, -4.0, 8.0 ];\n\nvar z = gdot( x.length, x, 1, y, 1 );\n// returns -5.0\n```\n\nThe function has the following parameters:\n\n-   **N**: number of indexed elements.\n-   **x**: first input [`Array`][mdn-array] or [`typed array`][mdn-typed-array].\n-   **strideX**: index increment for `x`.\n-   **y**: second input [`Array`][mdn-array] or [`typed array`][mdn-typed-array].\n-   **strideY**: index increment for `y`.\n\nThe `N` and stride parameters determine which elements in the strided arrays are accessed at runtime. For example, to calculate the dot product of every other value in `x` and the first `N` elements of `y` in reverse order,\n\n```javascript\nvar x = [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ];\nvar y = [ 1.0, 1.0, 1.0, 1.0, 1.0, 1.0 ];\n\nvar z = gdot( 3, x, 2, y, -1 );\n// returns 9.0\n```\n\nNote that indexing is relative to the first index. To introduce an offset, use [`typed array`][mdn-typed-array] views.\n\n<!-- eslint-disable stdlib/capitalized-comments -->\n\n```javascript\nvar Float64Array = require( '@stdlib/array-float64' );\n\n// Initial arrays...\nvar x0 = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ] );\nvar y0 = new Float64Array( [ 7.0, 8.0, 9.0, 10.0, 11.0, 12.0 ] );\n\n// Create offset views...\nvar x1 = new Float64Array( x0.buffer, x0.BYTES_PER_ELEMENT*1 ); // start at 2nd element\nvar y1 = new Float64Array( y0.buffer, y0.BYTES_PER_ELEMENT*3 ); // start at 4th element\n\nvar z = gdot( 3, x1, -2, y1, 1 );\n// returns 128.0\n```\n\n#### gdot.ndarray( N, x, strideX, offsetX, y, strideY, offsetY )\n\nCalculates the dot product of `x` and `y` using alternative indexing semantics.\n\n```javascript\nvar x = [ 4.0, 2.0, -3.0, 5.0, -1.0 ];\nvar y = [ 2.0, 6.0, -1.0, -4.0, 8.0 ];\n\nvar z = gdot.ndarray( x.length, x, 1, 0, y, 1, 0 );\n// returns -5.0\n```\n\nThe function has the following additional parameters:\n\n-   **offsetX**: starting index for `x`.\n-   **offsetY**: starting index for `y`.\n\nWhile [`typed array`][mdn-typed-array] views mandate a view offset based on the underlying buffer, the offset parameters support indexing semantics based on starting indices. For example, to calculate the dot product of every other value in `x` starting from the second value with the last 3 elements in `y` in reverse order\n\n```javascript\nvar x = [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ];\nvar y = [ 7.0, 8.0, 9.0, 10.0, 11.0, 12.0 ];\n\nvar z = gdot.ndarray( 3, x, 2, 1, y, -1, y.length-1 );\n// returns 128.0\n```\n\n</section>\n\n<!-- /.usage -->\n\n<section class=\"notes\">\n\n## Notes\n\n-   If `N <= 0` both functions return `0.0`.\n-   `gdot()` corresponds to the [BLAS][blas] level 1 function [`ddot`][ddot] with the exception that this implementation works with any array type, not just Float64Arrays. Depending on the environment, the typed versions ([`ddot`][@stdlib/blas/base/ddot], [`sdot`][@stdlib/blas/base/sdot], etc.) are likely to be significantly more performant.\n-   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]).\n\n</section>\n\n<!-- /.notes -->\n\n<section class=\"examples\">\n\n## Examples\n\n<!-- eslint no-undef: \"error\" -->\n\n```javascript\nvar discreteUniform = require( '@stdlib/random-array-discrete-uniform' );\nvar gdot = require( '@stdlib/blas-base-gdot' );\n\nvar opts = {\n    'dtype': 'float64'\n};\nvar x = discreteUniform( 10, 0, 500, opts );\nconsole.log( x );\n\nvar y = discreteUniform( x.length, 0, 255, opts );\nconsole.log( y );\n\nvar out = gdot.ndarray( x.length, x, 1, 0, y, -1, y.length-1 );\nconsole.log( out );\n```\n\n</section>\n\n<!-- /.examples -->\n\n<!-- Section for related `stdlib` packages. Do not manually edit this section, as it is automatically populated. -->\n\n<section class=\"related\">\n\n* * *\n\n## See Also\n\n-   <span class=\"package-name\">[`@stdlib/blas-base/ddot`][@stdlib/blas/base/ddot]</span><span class=\"delimiter\">: </span><span class=\"description\">calculate the dot product of two double-precision floating-point vectors.</span>\n-   <span class=\"package-name\">[`@stdlib/blas-base/sdot`][@stdlib/blas/base/sdot]</span><span class=\"delimiter\">: </span><span class=\"description\">calculate the dot product of two single-precision floating-point vectors.</span>\n-   <span class=\"package-name\">[`@stdlib/blas-gdot`][@stdlib/blas/gdot]</span><span class=\"delimiter\">: </span><span class=\"description\">calculate the dot product of two vectors.</span>\n\n</section>\n\n<!-- /.related -->\n\n<!-- Section for all links. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->\n\n\n<section class=\"main-repo\" >\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 &copy; 2016-2026. The Stdlib [Authors][stdlib-authors].\n\n</section>\n\n<!-- /.stdlib -->\n\n<!-- Section for all links. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->\n\n<section class=\"links\">\n\n[npm-image]: http://img.shields.io/npm/v/@stdlib/blas-base-gdot.svg\n[npm-url]: https://npmjs.org/package/@stdlib/blas-base-gdot\n\n[test-image]: https://github.com/stdlib-js/blas-base-gdot/actions/workflows/test.yml/badge.svg?branch=v0.3.1\n[test-url]: https://github.com/stdlib-js/blas-base-gdot/actions/workflows/test.yml?query=branch:v0.3.1\n\n[coverage-image]: https://img.shields.io/codecov/c/github/stdlib-js/blas-base-gdot/main.svg\n[coverage-url]: https://codecov.io/github/stdlib-js/blas-base-gdot?branch=main\n\n<!--\n\n[dependencies-image]: https://img.shields.io/david/stdlib-js/blas-base-gdot.svg\n[dependencies-url]: https://david-dm.org/stdlib-js/blas-base-gdot/main\n\n-->\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-base-gdot/tree/deno\n[deno-readme]: https://github.com/stdlib-js/blas-base-gdot/blob/deno/README.md\n[umd-url]: https://github.com/stdlib-js/blas-base-gdot/tree/umd\n[umd-readme]: https://github.com/stdlib-js/blas-base-gdot/blob/umd/README.md\n[esm-url]: https://github.com/stdlib-js/blas-base-gdot/tree/esm\n[esm-readme]: https://github.com/stdlib-js/blas-base-gdot/blob/esm/README.md\n[branches-url]: https://github.com/stdlib-js/blas-base-gdot/blob/main/branches.md\n\n[stdlib-license]: https://raw.githubusercontent.com/stdlib-js/blas-base-gdot/main/LICENSE\n\n[dot-product]: https://en.wikipedia.org/wiki/Dot_product\n\n[blas]: http://www.netlib.org/blas\n\n[ddot]: http://www.netlib.org/lapack/explore-html/de/da4/group__double__blas__level1.html\n\n[mdn-array]: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/Array\n\n[mdn-typed-array]: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/TypedArray\n\n[@stdlib/array/base/accessor]: https://www.npmjs.com/package/@stdlib/array-base-accessor\n\n[@stdlib/blas/base/ddot]: https://www.npmjs.com/package/@stdlib/blas-base-ddot\n\n[@stdlib/blas/base/sdot]: https://www.npmjs.com/package/@stdlib/blas-base-sdot\n\n<!-- <related-links> -->\n\n[@stdlib/blas/gdot]: https://www.npmjs.com/package/@stdlib/blas-gdot\n\n<!-- </related-links> -->\n\n</section>\n\n<!-- /.links -->\n","readmeFilename":"README.md"}