@stdlib/math-base-special-cabs2f
v0.3.1TypeScript
Compute the squared absolute value of a single-precision complex floating-point number.
0/weekUpdated 2 days agoApache-2.0Unpacked: 40.0 KB
Published by The Stdlib Authors
npm install @stdlib/math-base-special-cabs2fWe 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!
About stdlib...
cabs2f
[![NPM version][npm-image]][npm-url] [![Build Status][test-image]][test-url] [![Coverage Status][coverage-image]][coverage-url]
> Compute the squared [absolute value][absolute-value] of a single-precision [complex][@stdlib/complex/float32/ctor] floating-point number.
The [absolute value][absolute-value] of a [complex][@stdlib/complex/float32/ctor] number is defined as
which corresponds to the length of a vector from the origin to a complex value plotted in the complex plane.
Installation
``bash`
npm install @stdlib/math-base-special-cabs2f
Usage
`javascript`
var cabs2f = require( '@stdlib/math-base-special-cabs2f' );
#### cabs2f( z )
Computes the squared [absolute value][absolute-value] of a single-precision [complex][@stdlib/complex/float32/ctor] floating-point number.
`javascript
var Complex64 = require( '@stdlib/complex-float32-ctor' );
var y = cabs2f( new Complex64( 5.0, 3.0 ) );
// returns 34.0
`
Notes
- Be careful to avoid overflow and underflow.
- Depending on the environment, this function _may_ have better performance than computing the [absolute value][absolute-value] of a [complex][@stdlib/complex/float32/ctor] number and then squaring. Hence, where appropriate, consider using cabs2f() over [cabsf()][@stdlib/math/base/special/cabsf].
Examples
`javascript
var Complex64 = require( '@stdlib/complex-float32-ctor' );
var discreteUniform = require( '@stdlib/random-base-discrete-uniform' ).factory;
var cabs2f = require( '@stdlib/math-base-special-cabs2f' );
// Create a PRNG to generate uniformly distributed pseudorandom integers:
var rand = discreteUniform( -50, 50 );
// Compute the squared absolute value for a set of random numbers...
var z;
var i;
for ( i = 0; i < 100; i++ ) {
z = new Complex64( rand(), rand() );
console.log( 'cabs2f(%s) = %d', z.toString(), cabs2f( z ) );
}
`
*
C APIs
$3
`c`
#include "stdlib/math/base/special/cabs2f.h"
#### stdlib_base_cabs2f( z )
Computes the squared [absolute value][absolute-value] of a single-precision complex floating-point number.
`c
#include "stdlib/complex/float32/ctor.h"
stdlib_complex64_t z = stdlib_complex64( 5.0f, 3.0f );
float y = stdlib_base_cabs2f( z );
// returns 34.0f
`
The function accepts the following arguments:
- z: [in] stdlib_complex64_t input value.
`c`
float stdlib_base_cabs2f( const stdlib_complex64_t z );
$3
`c
#include "stdlib/math/base/special/cabs2f.h"
#include "stdlib/complex/float32/ctor.h"
#include "stdlib/complex/float32/reim.h"
#include
int main( void ) {
const stdlib_complex64_t x[] = {
stdlib_complex64( 3.14f, 1.0f ),
stdlib_complex64( -3.14f, -1.0f ),
stdlib_complex64( 0.0f, 0.0f ),
stdlib_complex64( 0.0f/0.0f, 0.0f/0.0f )
};
stdlib_complex64_t v;
float re;
float im;
float y;
int i;
for ( i = 0; i < 4; i++ ) {
v = x[ i ];
y = stdlib_base_cabs2f( v );
stdlib_complex64_reim( v, &re, &im );
printf( "f(%f + %fi) = %f\n", re, im, y );
}
}
`
*
See Also
- [@stdlib/math-base/special/cabs2][@stdlib/math/base/special/cabs2]: compute the squared absolute value of a double-precision complex floating-point number.
- [@stdlib/math-base/special/cabsf][@stdlib/math/base/special/cabsf]: compute the absolute value of a single-precision complex floating-point number.
- [@stdlib/math-base/special/abs2f][@stdlib/math/base/special/abs2f]: compute the squared absolute value of a single-precision floating-point number.
*
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 © 2016-2026. The Stdlib [Authors][stdlib-authors].
[npm-image]: http://img.shields.io/npm/v/@stdlib/math-base-special-cabs2f.svg
[npm-url]: https://npmjs.org/package/@stdlib/math-base-special-cabs2f
[test-image]: https://github.com/stdlib-js/math-base-special-cabs2f/actions/workflows/test.yml/badge.svg?branch=v0.3.1
[test-url]: https://github.com/stdlib-js/math-base-special-cabs2f/actions/workflows/test.yml?query=branch:v0.3.1
[coverage-image]: https://img.shields.io/codecov/c/github/stdlib-js/math-base-special-cabs2f/main.svg
[coverage-url]: https://codecov.io/github/stdlib-js/math-base-special-cabs2f?branch=main
[chat-image]: https://img.shields.io/badge/zulip-join_chat-brightgreen.svg
[chat-url]: https://stdlib.zulipchat.com
[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-cabs2f/tree/deno
[deno-readme]: https://github.com/stdlib-js/math-base-special-cabs2f/blob/deno/README.md
[umd-url]: https://github.com/stdlib-js/math-base-special-cabs2f/tree/umd
[umd-readme]: https://github.com/stdlib-js/math-base-special-cabs2f/blob/umd/README.md
[esm-url]: https://github.com/stdlib-js/math-base-special-cabs2f/tree/esm
[esm-readme]: https://github.com/stdlib-js/math-base-special-cabs2f/blob/esm/README.md
[branches-url]: https://github.com/stdlib-js/math-base-special-cabs2f/blob/main/branches.md
[stdlib-license]: https://raw.githubusercontent.com/stdlib-js/math-base-special-cabs2f/main/LICENSE
[absolute-value]: https://en.wikipedia.org/wiki/Absolute_value
[@stdlib/math/base/special/cabsf]: https://www.npmjs.com/package/@stdlib/math-base-special-cabsf
[@stdlib/complex/float32/ctor]: https://www.npmjs.com/package/@stdlib/complex-float32-ctor
[@stdlib/math/base/special/cabs2]: https://www.npmjs.com/package/@stdlib/math-base-special-cabs2
[@stdlib/math/base/special/abs2f]: https://www.npmjs.com/package/@stdlib/math-base-special-abs2f