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# Signum

> Evaluate the [signum][signum] function of a complex number.

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</section>

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## Usage

```javascript
var csignum = require( '@stdlib/math/base/special/csignum' );
```

#### csignum( \[out,] re, im )

Evaluates the [signum][signum] function of a `complex` number comprised of a **real** component `re` and an **imaginary** component `im`.

```javascript
var v = csignum( -4.2, 5.5 );
// returns [ -0.6069136033622302, 0.79476781392673 ]

v = csignum( 0.0, 0.0 );
// returns [ 0.0, 0.0 ]

v = csignum( NaN, NaN );
// returns [ NaN, NaN ]
```

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 v = csignum( out, -4.2, 5.5 );
// returns <Float64Array>[ -0.6069136033622302, 0.79476781392673 ]

var bool = ( v === out );
// returns true
```

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## Examples

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```javascript
var Complex128 = require( '@stdlib/complex/float64' );
var randu = require( '@stdlib/random/base/randu' );
var real = require( '@stdlib/complex/real' );
var imag = require( '@stdlib/complex/imag' );
var csignum = require( '@stdlib/math/base/special/csignum' );

var re;
var im;
var z;
var o;
var w;
var i;

for ( i = 0; i < 100; i++ ) {
    re = ( randu()*100.0 ) - 50.0;
    im = ( randu()*100.0 ) - 50.0;
    z = new Complex128( re, im );
    o = csignum( real(z), imag(z) );
    w = new Complex128( o[ 0 ], o[ 1 ] );
    console.log( 'signum(%s) = %s', z.toString(), w.toString() );
}
```

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[signum]: http://en.wikipedia.org/wiki/Sign_function

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