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# cceiln

> Round each component of a double-precision complex floating-point number to the nearest multiple of `10^n` toward positive infinity.

<section class="usage">

## Usage

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

#### cceiln( z, n )

Rounds each component of a double-precision complex floating-point number to the nearest multiple of `10^n` toward positive infinity.

```javascript
var Complex128 = require( '@stdlib/complex/float64/ctor' );

// Round components to 2 decimal places:
var z = new Complex128( -3.141592653589793, 3.141592653589793 );
var v = cceiln( z, -2 );
// returns <Complex128>[ -3.14, 3.15 ]

// If n = 0, `cceiln` behaves like `cceil`:
z = new Complex128( 9.99999, 0.1 );
v = cceiln( z, 0 );
// returns <Complex128>[ 10.0, 1.0 ]

// Round components to the nearest thousand:
z = new Complex128( 12368.0, -12368.0 );
v = cceiln( z, 3 );
// returns <Complex128>[ 13000.0, -12000.0 ]

v = cceiln( new Complex128( NaN, NaN ), 2 );
// returns <Complex128>[ NaN, NaN ]
```

</section>

<!-- /.usage -->

<section class="notes">

## Notes

-   When operating on [floating-point numbers][ieee754] in bases other than `2`, rounding to specified digits can be **inexact**. For example,

    ```javascript
    var Complex128 = require( '@stdlib/complex/float64/ctor' );
    var real = require( '@stdlib/complex/float64/real' );
    var imag = require( '@stdlib/complex/float64/imag' );

    var x = 0.2 + 0.1;
    // returns 0.30000000000000004

    // Should round components to 0.3:
    var v = cceiln( new Complex128( x, x ), -16 );
    // returns <Complex128>

    var re = real( v );
    // returns 0.3000000000000001

    var im = imag( v );
    // returns 0.3000000000000001
    ```

</section>

<!-- /.notes -->

<section class="examples">

## Examples

<!-- eslint no-undef: "error" -->

```javascript
var uniform = require( '@stdlib/random/base/uniform' ).factory;
var discreteUniform = require( '@stdlib/random/base/discrete-uniform' ).factory;
var Complex128 = require( '@stdlib/complex/float64/ctor' );
var ceil = require( '@stdlib/math/base/special/ceil' );
var cceiln = require( '@stdlib/math/base/special/cceiln' );

var rand1 = uniform( -50.0, 50.0 );
var rand2 = discreteUniform( -5.0, 0.0 );

var z;
var i;
var n;
for ( i = 0; i < 100; i++ ) {
    n = rand2();
    z = new Complex128( rand1(), rand1() );
    console.log( 'cceiln(%s, %s) = %s', z, n, cceiln( z, n ) );
}
```

</section>

<!-- /.examples -->

<!-- C interface documentation. -->

* * *

<section class="c">

## C APIs

<!-- Section to include introductory text. Make sure to keep an empty line after the intro `section` element and another before the `/section` close. -->

<section class="intro">

</section>

<!-- /.intro -->

<!-- C usage documentation. -->

<section class="usage">

### Usage

```c
#include "stdlib/math/base/special/cceiln.h"
```

#### stdlib_base_cceiln( z, n )

Rounds each component of a double-precision complex floating-point number to the nearest multiple of `10^n` toward positive infinity.

```c
#include "stdlib/complex/float64/ctor.h"
#include "stdlib/complex/float64/real.h"
#include "stdlib/complex/float64/imag.h"

stdlib_complex128_t z = stdlib_complex128( -3.141592653589793, 3.141592653589793 );

stdlib_complex128_t out = stdlib_base_cceiln( z, -2 );

double re = stdlib_complex128_real( out );
// returns -3.14

double im = stdlib_complex128_imag( out );
// returns 3.15
```

The function accepts the following arguments:

-   **z**: `[in] stdlib_complex128_t` input value.
-   **n**: `[in] int32_t` integer power of 10.

```c
stdlib_complex128_t stdlib_base_cceiln( const stdlib_complex128_t z, int32_t n );
```

</section>

<!-- /.usage -->

<!-- C API usage notes. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->

<section class="notes">

</section>

<!-- /.notes -->

<!-- C API usage examples. -->

<section class="examples">

### Examples

```c
#include "stdlib/math/base/special/cceiln.h"
#include "stdlib/complex/float64/ctor.h"
#include "stdlib/complex/float64/reim.h"
#include <stdio.h>

int main() {
    const stdlib_complex128_t x[] = {
        stdlib_complex128( 3.14, 1.5 ),
        stdlib_complex128( -3.14, -1.5 ),
        stdlib_complex128( 0.0, 0.0 ),
        stdlib_complex128( 0.0/0.0, 0.0/0.0 )
    };

    stdlib_complex128_t v;
    stdlib_complex128_t y;
    double re1;
    double im1;
    double re2;
    double im2;
    int i;
    for ( i = 0; i < 4; i++ ) {
        v = x[ i ];
        y = stdlib_base_cceiln( v, -2 );
        stdlib_complex128_reim( v, &re1, &im1 );
        stdlib_complex128_reim( y, &re2, &im2 );
        printf( "cceiln(%lf + %lfi, -2) = %lf + %lfi\n", re1, im1, re2, im2 );
    }
}
```

</section>

<!-- /.examples -->

</section>

<!-- /.c -->

<!-- Section for related `stdlib` packages. Do not manually edit this section, as it is automatically populated. -->

<section class="related">

* * *

## See Also

-   <span class="package-name">[`@stdlib/math/base/special/cceil`][@stdlib/math/base/special/cceil]</span><span class="delimiter">: </span><span class="description">round each component of a double-precision complex floating-point number toward positive infinity.</span>
-   <span class="package-name">[`@stdlib/math/base/special/cfloorn`][@stdlib/math/base/special/cfloorn]</span><span class="delimiter">: </span><span class="description">round each component of a double-precision complex floating-point number to the nearest multiple of 10^n toward negative infinity.</span>
-   <span class="package-name">[`@stdlib/math/base/special/croundn`][@stdlib/math/base/special/croundn]</span><span class="delimiter">: </span><span class="description">round each component of a double-precision complex floating-point number to the nearest multiple of 10^n.</span>

</section>

<!-- /.related -->

<!-- Section for all links. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->

<section class="links">

[ieee754]: https://en.wikipedia.org/wiki/IEEE_754-1985

<!-- <related-links> -->

[@stdlib/math/base/special/cceil]: https://github.com/stdlib-js/math/tree/main/base/special/cceil

[@stdlib/math/base/special/cfloorn]: https://github.com/stdlib-js/math/tree/main/base/special/cfloorn

[@stdlib/math/base/special/croundn]: https://github.com/stdlib-js/math/tree/main/base/special/croundn

<!-- </related-links> -->

</section>

<!-- /.links -->
