# polar > Compute the [absolute value][@stdlib/math/base/special/cabs] and [phase][@stdlib/math/base/special/cphase] of a complex number.
## Usage ```javascript var cpolar = require( '@stdlib/math/base/special/cpolar' ); ``` #### cpolar( \[out,] re, im ) Computes the [absolute value][@stdlib/math/base/special/cabs] and [phase][@stdlib/math/base/special/cphase] of a complex number comprised of a **real** component `re` and an **imaginary** component `im`. ```javascript var o = cpolar( 5.0, 3.0 ); // returns [ ~5.83, ~0.5404 ] ``` By default, the function returns real and imaginary components as a two-element `array`. To avoid unnecessary memory allocation, the function supports providing an output (destination) object. ```javascript var Float64Array = require( '@stdlib/array/float64' ); var out = new Float64Array( 2 ); var o = cpolar( out, 5.0, 3.0 ); // returns [ ~5.83, ~0.5404 ] var bool = ( o === out ); // returns true ```
## Examples ```javascript 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 cpolar = require( '@stdlib/math/base/special/cpolar' ); var re; var im; var z; var o; 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 ); o = cpolar( real(z), imag(z) ); z = z.toString(); console.log( 'abs(%s) = %d. arg(%s) = %d', z, o[0], z, o[1] ); } ```