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Apache-2.0\n\nCopyright (c) 2025 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# muladd\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 Perform a multiply-add operation involving three double-precision complex floating-point numbers.\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/complex-float64-base-mul-add\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 muladd = require( '@stdlib/complex-float64-base-mul-add' );\n```\n\n#### muladd( alpha, x, y )\n\nPerforms a multiply-add operation involving three double-precision complex floating-point numbers.\n\n```javascript\nvar Complex128 = require( '@stdlib/complex-float64-ctor' );\n\nvar z1 = new Complex128( 5.0, 3.0 );\nvar z2 = new Complex128( -2.0, 1.0 );\nvar z3 = new Complex128( 7.0, -8.0 );\n\n// Compute `alpha*x + y`:\nvar v = muladd( z1, z2, z3 );\n// returns \u003cComplex128\u003e[ -6.0, -9.0 ]\n```\n\nThe function supports the following parameters:\n\n-   **alpha**: first [complex number][@stdlib/complex/float64/ctor].\n-   **x**: second [complex number][@stdlib/complex/float64/ctor].\n-   **y**: third [complex number][@stdlib/complex/float64/ctor].\n\n#### muladd.assign( ar, ai, xr, xi, yr, yi, out, strideOut, offsetOut )\n\nPerforms a multiply-add operation involving three double-precision complex floating-point numbers and assigns the results to an output strided array.\n\n```javascript\nvar Float64Array = require( '@stdlib/array-float64' );\n\nvar out = new Float64Array( 2 );\nvar v = muladd.assign( 5.0, 3.0, -2.0, 1.0, 7.0, -8.0, out, 1, 0 );\n// returns \u003cFloat64Array\u003e[ -6.0, -9.0 ]\n\nvar bool = ( out === v );\n// returns true\n```\n\nThe function supports the following parameters:\n\n-   **ar**: real component of the first complex number.\n-   **ai**: imaginary component of the first complex number.\n-   **xr**: real component of the second complex number.\n-   **xi**: imaginary component of the second complex number.\n-   **yr**: real component of the third complex number.\n-   **yi**: imaginary component of the third complex number.\n-   **out**: output array.\n-   **strideOut**: stride length for `out`.\n-   **offsetOut**: starting index for `out`.\n\n#### muladd.strided( alpha, sa, oa, x, sx, ox, y, sy, oy, out, so, oo )\n\nPerforms a multiply-add operation involving three double-precision complex floating-point numbers stored in real-valued strided array views and assigns results to a provided strided output array.\n\n```javascript\nvar Float64Array = require( '@stdlib/array-float64' );\n\nvar z1 = new Float64Array( [ 5.0, 3.0 ] );\nvar z2 = new Float64Array( [ -2.0, 1.0 ] );\nvar z3 = new Float64Array( [ 7.0, -8.0 ] );\nvar out = new Float64Array( 2 );\n\nvar v = muladd.strided( z1, 1, 0, z2, 1, 0, z3, 1, 0, out, 1, 0 );\n// returns \u003cFloat64Array\u003e[ -6.0, -9.0 ]\n\nvar bool = ( out === v );\n// returns true\n```\n\nThe function supports the following parameters:\n\n-   **alpha**: first complex number strided array view.\n-   **sa**: stride length for `alpha`.\n-   **oa**: starting index for `alpha`.\n-   **x**: second complex number strided array view.\n-   **sx**: stride length for `x`.\n-   **ox**: starting index for `x`.\n-   **y**: third complex number strided array view.\n-   **sy**: stride length for `y`.\n-   **oy**: starting index for `y`.\n-   **out**: output array.\n-   **so**: stride length for `out`.\n-   **oo**: starting index for `out`.\n\n\u003c/section\u003e\n\n\u003c!-- /.usage --\u003e\n\n\u003csection class=\"examples\"\u003e\n\n## Examples\n\n\u003c!-- eslint no-undef: \"error\" --\u003e\n\n```javascript\nvar Complex128Array = require( '@stdlib/array-complex128' );\nvar discreteUniform = require( '@stdlib/random-array-discrete-uniform' );\nvar logEachMap = require( '@stdlib/console-log-each-map' );\nvar muladd = require( '@stdlib/complex-float64-base-mul-add' );\n\n// Generate arrays of random values:\nvar z1 = new Complex128Array( discreteUniform( 200, -50, 50 ) );\nvar z2 = new Complex128Array( discreteUniform( 200, -50, 50 ) );\nvar z3 = new Complex128Array( discreteUniform( 200, -50, 50 ) );\n\n// Perform element-wise computation:\nlogEachMap( '( (%s) * (%s) ) + (%s) = %s', z1, z2, z3, muladd );\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/complex/float64/base/mul_add.h\"\n```\n\n#### stdlib_base_complex128_muladd( alpha, x, y )\n\nPerforms a multiply-add operation involving three double-precision complex floating-point numbers.\n\n```c\n#include \"stdlib/complex/float64/ctor.h\"\n#include \"stdlib/complex/float64/real.h\"\n#include \"stdlib/complex/float64/imag.h\"\n\nstdlib_complex128_t z1 = stdlib_complex128( 5.0, 3.0 );\nstdlib_complex128_t z2 = stdlib_complex128( -2.0, 1.0 );\nstdlib_complex128_t z3 = stdlib_complex128( 7.0, -8.0 );\n\nstdlib_complex128_t out = stdlib_base_complex128_muladd( z1, z2, z3 );\n\ndouble re = stdlib_complex128_real( out );\n// returns -6.0\n\ndouble im = stdlib_complex128_imag( out );\n// returns -9.0\n```\n\nThe function accepts the following arguments:\n\n-   **alpha**: `[in] stdlib_complex128_t` input value.\n-   **x**: `[in] stdlib_complex128_t` input value.\n-   **y**: `[in] stdlib_complex128_t` input value.\n\n```c\nstdlib_complex128_t stdlib_base_complex128_muladd( const stdlib_complex128_t alpha, const stdlib_complex128_t x, const stdlib_complex128_t y );\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/complex/float64/base/mul_add.h\"\n#include \"stdlib/complex/float64/ctor.h\"\n#include \"stdlib/complex/float64/reim.h\"\n#include \u003cstdio.h\u003e\n\nint main( void ) {\n    const stdlib_complex128_t x[] = {\n        stdlib_complex128( 3.14, 1.5 ),\n        stdlib_complex128( -3.14, 1.5 ),\n        stdlib_complex128( 0.0, -0.0 ),\n        stdlib_complex128( 0.0/0.0, 0.0/0.0 )\n    };\n\n    stdlib_complex128_t v;\n    stdlib_complex128_t y;\n    double re;\n    double im;\n    int i;\n    for ( i = 0; i \u003c 4; i++ ) {\n        v = x[ i ];\n        stdlib_complex128_reim( v, \u0026re, \u0026im );\n        printf( \"z = %lf + %lfi\\n\", re, im );\n\n        y = stdlib_base_complex128_muladd( v, v, v );\n        stdlib_complex128_reim( y, \u0026re, \u0026im );\n        printf( \"z*z + z = %lf + %lfi\\n\", re, im );\n    }\n}\n```\n\n\u003c/section\u003e\n\n\u003c!-- /.examples --\u003e\n\n\u003c/section\u003e\n\n\u003c!-- /.c --\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\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/complex-float64-base-mul-add.svg\n[npm-url]: https://npmjs.org/package/@stdlib/complex-float64-base-mul-add\n\n[test-image]: https://github.com/stdlib-js/complex-float64-base-mul-add/actions/workflows/test.yml/badge.svg?branch=main\n[test-url]: https://github.com/stdlib-js/complex-float64-base-mul-add/actions/workflows/test.yml?query=branch:main\n\n[coverage-image]: https://img.shields.io/codecov/c/github/stdlib-js/complex-float64-base-mul-add/main.svg\n[coverage-url]: https://codecov.io/github/stdlib-js/complex-float64-base-mul-add?branch=main\n\n\u003c!--\n\n[dependencies-image]: https://img.shields.io/david/stdlib-js/complex-float64-base-mul-add.svg\n[dependencies-url]: https://david-dm.org/stdlib-js/complex-float64-base-mul-add/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/complex-float64-base-mul-add/tree/deno\n[deno-readme]: https://github.com/stdlib-js/complex-float64-base-mul-add/blob/deno/README.md\n[umd-url]: https://github.com/stdlib-js/complex-float64-base-mul-add/tree/umd\n[umd-readme]: https://github.com/stdlib-js/complex-float64-base-mul-add/blob/umd/README.md\n[esm-url]: https://github.com/stdlib-js/complex-float64-base-mul-add/tree/esm\n[esm-readme]: https://github.com/stdlib-js/complex-float64-base-mul-add/blob/esm/README.md\n[branches-url]: https://github.com/stdlib-js/complex-float64-base-mul-add/blob/main/branches.md\n\n[stdlib-license]: https://raw.githubusercontent.com/stdlib-js/complex-float64-base-mul-add/main/LICENSE\n\n[@stdlib/complex/float64/ctor]: https://github.com/stdlib-js/complex-float64-ctor\n\n\u003c!-- \u003crelated-links\u003e --\u003e\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%2Fcomplex-float64-base-mul-add","html_url":"https://awesome.ecosyste.ms/projects/github.com%2Fstdlib-js%2Fcomplex-float64-base-mul-add","lists_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fstdlib-js%2Fcomplex-float64-base-mul-add/lists"}