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https://github.com/stdlib-js/math-base-special-cfloor

Round a complex number toward negative infinity.
https://github.com/stdlib-js/math-base-special-cfloor

cfloor cmplx complex floor integer javascript math mathematics nearest node node-js nodejs number round stdlib value

Last synced: 5 days ago
JSON representation

Round a complex number toward negative infinity.

Host: GitHub
URL: https://github.com/stdlib-js/math-base-special-cfloor
Owner: stdlib-js
License: apache-2.0
Created: 2021-06-14T13:28:35.000Z (over 3 years ago)
Default Branch: main
Last Pushed: 2024-12-01T09:41:39.000Z (30 days ago)
Last Synced: 2024-12-24T19:34:06.678Z (6 days ago)
Topics: cfloor, cmplx, complex, floor, integer, javascript, math, mathematics, nearest, node, node-js, nodejs, number, round, stdlib, value
Language: Python
Homepage: https://github.com/stdlib-js/stdlib
Size: 480 KB
Stars: 1
Watchers: 3
Forks: 0
Open Issues: 0
Metadata Files:
- Readme: README.md
- Changelog: CHANGELOG.md
- Contributing: CONTRIBUTING.md
- License: LICENSE
- Code of conduct: CODE_OF_CONDUCT.md
- Citation: CITATION.cff
- Security: SECURITY.md

Awesome Lists containing this project

README

        

  

    About stdlib...

  

  
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!


# Floor

[![NPM version][npm-image]][npm-url] [![Build Status][test-image]][test-url] [![Coverage Status][coverage-image]][coverage-url] 

> Round a double-precision complex floating-point number toward negative infinity.

## Installation

```bash

npm install @stdlib/math-base-special-cfloor

```

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 cfloor = require( '@stdlib/math-base-special-cfloor' );

```

#### cfloor( z )

Rounds a double-precision complex floating-point number toward negative infinity.

```javascript

var Complex128 = require( '@stdlib/complex-float64-ctor' );

var real = require( '@stdlib/complex-float64-real' );

var imag = require( '@stdlib/complex-float64-imag' );

var v = cfloor( new Complex128( -4.2, 5.5 ) );

// returns 

var re = real( v );

// returns -5.0

var im = imag( v );

// returns 5.0

v = cfloor( new Complex128( 9.99999, 0.1 ) );

// returns 

re = real( v );

// returns 9.0

im = imag( v );

// returns 0.0

v = cfloor( new Complex128( 0.0, 0.0 ) );

// returns 

re = real( v );

// returns 0.0

im = imag( v );

// returns 0.0

v = cfloor( new Complex128( NaN, NaN ) );

// returns 

re = real( v );

// returns NaN

im = imag( v );

// returns NaN

```

## Examples

```javascript

var Complex128 = require( '@stdlib/complex-float64-ctor' );

var randu = require( '@stdlib/random-base-randu' );

var cfloor = require( '@stdlib/math-base-special-cfloor' );

var re;

var im;

var z;

var w;

var i;

for ( i = 0; i < 100; i++ ) {

    re = ( randu()*100.0 ) - 50.0;

    im = ( randu()*100.0 ) - 50.0;

    z = new Complex128( re, im );

    w = cfloor( z );

    console.log( 'floor(%s) = %s', z.toString(), w.toString() );

}

```

* * *

## C APIs

### Usage

```c

#include "stdlib/math/base/special/cfloor.h"

```

#### stdlib_base_cfloor( z )

Rounds a double-precision complex floating-point number toward negative infinity.

```c

#include "stdlib/complex/float64/ctor.h"

#include "stdlib/complex/float64/real.h"

#include "stdlib/complex/float64/imag.h"

stdlib_complex128_t z = stdlib_complex128( 2.5, -1.5 );

stdlib_complex128_t out = stdlib_base_cfloor( z );

double re = stdlib_complex128_real( out );

// returns 2.0

double im = stdlib_complex128_imag( out );

// returns -2.0

```

The function accepts the following arguments:

-   **z**: `[in] stdlib_complex128_t` input value.

```c

stdlib_complex128_t stdlib_base_cfloor( const stdlib_complex128_t z );

```

### Examples

```c

#include "stdlib/math/base/special/cfloor.h"

#include "stdlib/complex/float64/ctor.h"

#include "stdlib/complex/float64/reim.h"

#include 

int main( void ) {

    const stdlib_complex128_t x[] = {

        stdlib_complex128( 3.14, 1.5 ),

        stdlib_complex128( -3.14, -1.5 ),

        stdlib_complex128( 0.0, 0.0 ),

        stdlib_complex128( 0.0/0.0, 0.0/0.0 )

    };

    stdlib_complex128_t v;

    stdlib_complex128_t y;

    double re1;

    double im1;

    double re2;

    double im2;

    int i;

    for ( i = 0; i < 4; i++ ) {

        v = x[ i ];

        y = stdlib_base_cfloor( v );

        stdlib_complex128_reim( v, &re1, &im1 );

        stdlib_complex128_reim( y, &re2, &im2 );

        printf( "cfloor(%lf + %lfi) = %lf + %lfi\n", re1, im1, re2, im2 );

    }

}

```

* * *

## See Also

-   [`@stdlib/math-base/special/cceil`][@stdlib/math/base/special/cceil]: round a double-precision complex floating-point number toward positive infinity.

-   [`@stdlib/math-base/special/cfloorn`][@stdlib/math/base/special/cfloorn]: round each component of a double-precision complex floating-point number to the nearest multiple of 10^n toward negative infinity.

-   [`@stdlib/math-base/special/cround`][@stdlib/math/base/special/cround]: round each component of a double-precision complex floating-point number to the nearest integer.

* * *

## 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 © 2016-2024. The Stdlib [Authors][stdlib-authors].

[npm-image]: http://img.shields.io/npm/v/@stdlib/math-base-special-cfloor.svg

[npm-url]: https://npmjs.org/package/@stdlib/math-base-special-cfloor

[test-image]: https://github.com/stdlib-js/math-base-special-cfloor/actions/workflows/test.yml/badge.svg?branch=main

[test-url]: https://github.com/stdlib-js/math-base-special-cfloor/actions/workflows/test.yml?query=branch:main

[coverage-image]: https://img.shields.io/codecov/c/github/stdlib-js/math-base-special-cfloor/main.svg

[coverage-url]: https://codecov.io/github/stdlib-js/math-base-special-cfloor?branch=main

[chat-image]: https://img.shields.io/gitter/room/stdlib-js/stdlib.svg

[chat-url]: https://app.gitter.im/#/room/#stdlib-js_stdlib:gitter.im

[stdlib]: https://github.com/stdlib-js/stdlib

[stdlib-authors]: https://github.com/stdlib-js/stdlib/graphs/contributors

[umd]: https://github.com/umdjs/umd

[es-module]: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Guide/Modules

[deno-url]: https://github.com/stdlib-js/math-base-special-cfloor/tree/deno

[deno-readme]: https://github.com/stdlib-js/math-base-special-cfloor/blob/deno/README.md

[umd-url]: https://github.com/stdlib-js/math-base-special-cfloor/tree/umd

[umd-readme]: https://github.com/stdlib-js/math-base-special-cfloor/blob/umd/README.md

[esm-url]: https://github.com/stdlib-js/math-base-special-cfloor/tree/esm

[esm-readme]: https://github.com/stdlib-js/math-base-special-cfloor/blob/esm/README.md

[branches-url]: https://github.com/stdlib-js/math-base-special-cfloor/blob/main/branches.md

[stdlib-license]: https://raw.githubusercontent.com/stdlib-js/math-base-special-cfloor/main/LICENSE

[@stdlib/math/base/special/cceil]: https://github.com/stdlib-js/math-base-special-cceil

[@stdlib/math/base/special/cfloorn]: https://github.com/stdlib-js/math-base-special-cfloorn

[@stdlib/math/base/special/cround]: https://github.com/stdlib-js/math-base-special-cround