polar

Compute the absolute value and phase of a complex number.

Usage

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

cpolar( [out,] re, im )

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

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.

var Float64Array = require( '@stdlib/array/float64' );

var out = new Float64Array( 2 );

var o = cpolar( out, 5.0, 3.0 );
// returns <Float64Array>[ ~5.83, ~0.5404 ]

var bool = ( o === out );
// returns true

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 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] );
}