https://github.com/stdlib-js/math-base-special-fast-hypot
Compute the hypotenuse.
https://github.com/stdlib-js/math-base-special-fast-hypot
euclid euclidean fast fastmath geometry hypot hypotenuse javascript math mathematics node node-js nodejs pythagoras pythagorean-theorem stdlib triangle trig trigonometry
Last synced: 3 months ago
JSON representation
Compute the hypotenuse.
- Host: GitHub
- URL: https://github.com/stdlib-js/math-base-special-fast-hypot
- Owner: stdlib-js
- License: apache-2.0
- Created: 2021-06-14T13:26:13.000Z (almost 4 years ago)
- Default Branch: main
- Last Pushed: 2024-12-16T00:02:32.000Z (5 months ago)
- Last Synced: 2025-01-16T06:28:02.213Z (4 months ago)
- Topics: euclid, euclidean, fast, fastmath, geometry, hypot, hypotenuse, javascript, math, mathematics, node, node-js, nodejs, pythagoras, pythagorean-theorem, stdlib, triangle, trig, trigonometry
- Language: Python
- Homepage: https://github.com/stdlib-js/stdlib
- Size: 523 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
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README
About stdlib...
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# hypot
[![NPM version][npm-image]][npm-url] [![Build Status][test-image]][test-url] [![Coverage Status][coverage-image]][coverage-url]
> Compute the [hypotenuse][hypotenuse].
## Installation
```bash
npm install @stdlib/math-base-special-fast-hypot
```
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 hypot = require( '@stdlib/math-base-special-fast-hypot' );
```
#### hypot( x, y )
Computes the [hypotenuse][hypotenuse].
```javascript
var h = hypot( -5.0, 12.0 );
// returns 13.0
```
## Notes
- For a sufficiently large `x` and/or `y`, computing the hypotenuse will overflow.
```javascript
var h = hypot( 1.0e154, 1.0e154 );
// returns Infinity
```
Similarly, for sufficiently small `x` and/or `y`, computing the hypotenuse will underflow.
```javascript
var h = hypot( 1e-200, 1.0e-200 );
// returns 0.0
```
## Examples
```javascript
var randu = require( '@stdlib/random-base-randu' );
var round = require( '@stdlib/math-base-special-round' );
var hypot = require( '@stdlib/math-base-special-fast-hypot' );
var x;
var y;
var h;
var i;
for ( i = 0; i < 100; i++ ) {
x = round( randu()*100.0 ) - 50.0;
y = round( randu()*100.0 ) - 50.0;
h = hypot( x, y );
console.log( 'hypot(%d,%d) = %d', x, y, h );
}
```
* * *
## C APIs
### Usage
```c
#include "stdlib/math/base/special/fast/hypot.h
```
#### stdlib_base_fast_hypot( x, y )
Computes the hypotenuse.
```c
double h = stdlib_base_fast_hypot( 5.0, 12.0 );
// returns 13.0
```
The function accepts the following arguments:
- **x**: `[in] double` input value.
- **y**: `[in] double` input value.
```c
double stdlib_base_fast_hypot( const double x, const double y );
```
### Examples
```c
#include "stdlib/math/base/special/fast/hypot.h"
#include
int main( void ) {
const double x[] = { 3.0, 4.0, 5.0, 12.0 };
double y;
int i;
for ( i = 0; i < 4; i += 2 ) {
y = stdlib_base_fast_hypot( x[ i ], x[ i + 1 ] );
printf( "hypot(%lf, %lf) = %lf\n", x[ i ], x[ i + 1 ], y );
}
}
```
* * *
## See Also
- [`@stdlib/math-base/special/hypot`][@stdlib/math/base/special/hypot]: compute the hypotenuse avoiding overflow and underflow.
* * *
## 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-fast-hypot.svg
[npm-url]: https://npmjs.org/package/@stdlib/math-base-special-fast-hypot
[test-image]: https://github.com/stdlib-js/math-base-special-fast-hypot/actions/workflows/test.yml/badge.svg?branch=main
[test-url]: https://github.com/stdlib-js/math-base-special-fast-hypot/actions/workflows/test.yml?query=branch:main
[coverage-image]: https://img.shields.io/codecov/c/github/stdlib-js/math-base-special-fast-hypot/main.svg
[coverage-url]: https://codecov.io/github/stdlib-js/math-base-special-fast-hypot?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-fast-hypot/tree/deno
[deno-readme]: https://github.com/stdlib-js/math-base-special-fast-hypot/blob/deno/README.md
[umd-url]: https://github.com/stdlib-js/math-base-special-fast-hypot/tree/umd
[umd-readme]: https://github.com/stdlib-js/math-base-special-fast-hypot/blob/umd/README.md
[esm-url]: https://github.com/stdlib-js/math-base-special-fast-hypot/tree/esm
[esm-readme]: https://github.com/stdlib-js/math-base-special-fast-hypot/blob/esm/README.md
[branches-url]: https://github.com/stdlib-js/math-base-special-fast-hypot/blob/main/branches.md
[stdlib-license]: https://raw.githubusercontent.com/stdlib-js/math-base-special-fast-hypot/main/LICENSE
[hypotenuse]: https://en.wikipedia.org/wiki/Pythagorean_theorem
[@stdlib/math/base/special/hypot]: https://github.com/stdlib-js/math-base-special-hypot