215 lines
6.7 KiB
Markdown
215 lines
6.7 KiB
Markdown
<!--
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@license Apache-2.0
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Copyright (c) 2018 The Stdlib Authors.
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Licensed under the Apache License, Version 2.0 (the "License");
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you may not use this file except in compliance with the License.
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You may obtain a copy of the License at
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http://www.apache.org/licenses/LICENSE-2.0
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Unless required by applicable law or agreed to in writing, software
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distributed under the License is distributed on an "AS IS" BASIS,
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WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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See the License for the specific language governing permissions and
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limitations under the License.
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-->
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# Complex Numbers
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[![NPM version][npm-image]][npm-url] [![Build Status][test-image]][test-url] [![Coverage Status][coverage-image]][coverage-url] [![dependencies][dependencies-image]][dependencies-url]
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> Complex number data types.
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<section class="installation">
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## Installation
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```bash
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npm install @stdlib/complex
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```
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</section>
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<section class="usage">
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## Usage
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```javascript
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var ns = require( '@stdlib/complex' );
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```
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#### ns
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Complex number data types.
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```javascript
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var o = ns;
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// returns {...}
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```
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The namespace constains complex number constructors.
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<!-- <toc keywords="+data, +structure, +types"> -->
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<div class="namespace-toc">
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- <span class="signature">[`complex( real, imag[, dtype] )`][@stdlib/complex/cmplx]</span><span class="delimiter">: </span><span class="description">create a complex number.</span>
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- <span class="signature">[`Complex64( real, imag )`][@stdlib/complex/float32]</span><span class="delimiter">: </span><span class="description">64-bit complex number.</span>
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- <span class="signature">[`Complex128( real, imag )`][@stdlib/complex/float64]</span><span class="delimiter">: </span><span class="description">128-bit complex number.</span>
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</div>
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<!-- </toc> -->
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```javascript
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var z = ns.complex( 5.0, 3.0 );
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// returns <Complex128>
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var str = z.toString();
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// returns '5 + 3i'
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z = ns.complex( 5.0, 3.0, 'float32' );
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// returns <Complex64>
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z = new ns.Complex64( 5.0, 3.0 );
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// returns <Complex64>
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```
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In addition, the namespace contains the following functions:
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<!-- <toc keywords="-data, -structure, -types"> -->
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<div class="namespace-toc">
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- <span class="signature">[`conj( z )`][@stdlib/complex/conj]</span><span class="delimiter">: </span><span class="description">return the complex conjugate of a complex number.</span>
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- <span class="signature">[`imag( z )`][@stdlib/complex/imag]</span><span class="delimiter">: </span><span class="description">return the imaginary component of a complex number.</span>
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- <span class="signature">[`real( z )`][@stdlib/complex/real]</span><span class="delimiter">: </span><span class="description">return the real component of a complex number.</span>
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- <span class="signature">[`reim( z )`][@stdlib/complex/reim]</span><span class="delimiter">: </span><span class="description">return the real and imaginary components of a complex number.</span>
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- <span class="signature">[`reviveComplex64( key, value )`][@stdlib/complex/reviver-float32]</span><span class="delimiter">: </span><span class="description">revive a JSON-serialized 64-bit complex number.</span>
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- <span class="signature">[`reviveComplex128( key, value )`][@stdlib/complex/reviver-float64]</span><span class="delimiter">: </span><span class="description">revive a JSON-serialized 128-bit complex number.</span>
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- <span class="signature">[`reviveComplex( key, value )`][@stdlib/complex/reviver]</span><span class="delimiter">: </span><span class="description">revive a JSON-serialized complex number.</span>
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</div>
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<!-- </toc> -->
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```javascript
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var z = ns.complex( 5.0, 3.0 );
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var str = z.toString();
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// returns '5 + 3i'
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var v = ns.conj( z );
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str = v.toString();
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// returns '5 - 3i'
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```
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</section>
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<!-- /.usage -->
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<section class="examples">
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## Examples
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<!-- TODO: better examples -->
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<!-- eslint no-undef: "error" -->
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```javascript
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var objectKeys = require( '@stdlib/utils/keys' );
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var ns = require( '@stdlib/complex' );
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console.log( objectKeys( ns ) );
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```
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</section>
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<!-- /.examples -->
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<section class="main-repo" >
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* * *
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## Notice
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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.
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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].
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#### Community
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[![Chat][chat-image]][chat-url]
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---
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## License
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See [LICENSE][stdlib-license].
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## Copyright
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Copyright © 2016-2021. The Stdlib [Authors][stdlib-authors].
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</section>
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<!-- /.stdlib -->
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<!-- Section for all links. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
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<section class="links">
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[npm-image]: http://img.shields.io/npm/v/@stdlib/complex.svg
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[npm-url]: https://npmjs.org/package/@stdlib/complex
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[test-image]: https://github.com/stdlib-js/complex/actions/workflows/test.yml/badge.svg
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[test-url]: https://github.com/stdlib-js/complex/actions/workflows/test.yml
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[coverage-image]: https://img.shields.io/codecov/c/github/stdlib-js/complex/main.svg
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[coverage-url]: https://codecov.io/github/stdlib-js/complex?branch=main
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[dependencies-image]: https://img.shields.io/david/stdlib-js/complex.svg
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[dependencies-url]: https://david-dm.org/stdlib-js/complex/main
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[chat-image]: https://img.shields.io/gitter/room/stdlib-js/stdlib.svg
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[chat-url]: https://gitter.im/stdlib-js/stdlib/
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[stdlib]: https://github.com/stdlib-js/stdlib
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[stdlib-authors]: https://github.com/stdlib-js/stdlib/graphs/contributors
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[stdlib-license]: https://raw.githubusercontent.com/stdlib-js/complex/main/LICENSE
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<!-- <toc-links> -->
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[@stdlib/complex/conj]: https://www.npmjs.com/package/@stdlib/complex/tree/main/conj
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[@stdlib/complex/imag]: https://www.npmjs.com/package/@stdlib/complex/tree/main/imag
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[@stdlib/complex/real]: https://www.npmjs.com/package/@stdlib/complex/tree/main/real
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[@stdlib/complex/reim]: https://www.npmjs.com/package/@stdlib/complex/tree/main/reim
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[@stdlib/complex/reviver-float32]: https://www.npmjs.com/package/@stdlib/complex/tree/main/reviver-float32
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[@stdlib/complex/reviver-float64]: https://www.npmjs.com/package/@stdlib/complex/tree/main/reviver-float64
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[@stdlib/complex/reviver]: https://www.npmjs.com/package/@stdlib/complex/tree/main/reviver
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[@stdlib/complex/cmplx]: https://www.npmjs.com/package/@stdlib/complex/tree/main/cmplx
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[@stdlib/complex/float32]: https://www.npmjs.com/package/@stdlib/complex/tree/main/float32
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[@stdlib/complex/float64]: https://www.npmjs.com/package/@stdlib/complex/tree/main/float64
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<!-- </toc-links> -->
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</section>
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<!-- /.links -->
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