@stdlib/math-base-special-cabs

Absolute Value

Compute an absolute value of a complex number.

The absolute value of a complex 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

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

Usage

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

cabs( re, im )

Computes an absolute value of a complex number comprised of a real component re and an imaginary component im.

var y = cabs( 5.0, 3.0 );
// returns ~5.83

Examples

var Complex128 = require( '@stdlib/complex-float64' );
var randu = require( '@stdlib/random-base-randu' );
var round = require( '@stdlib/math-base-special-round' );
var real = require( '@stdlib/complex-real' );
var imag = require( '@stdlib/complex-imag' );
var cabs = require( '@stdlib/math-base-special-cabs' );

var re;
var im;
var z;
var i;

for ( i = 0; i < 100; i++ ) {
    re = round( randu()*100.0 ) - 50.0;
    im = round( randu()*100.0 ) - 50.0;
    z = new Complex128( re, im );
    console.log( 'cabs(%s) = %d', z.toString(), cabs( real(z), imag(z) ) );
}

Notice

This package is part of 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, see the main project repository.

Community

License

See LICENSE.

Copyright

Copyright © 2016-2021. The Stdlib Authors.