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108 changes: 58 additions & 50 deletions LICENSE
Original file line number Diff line number Diff line change
Expand Up @@ -181,6 +181,28 @@ The library links against the following external libraries or contains
implementations from the following external libraries, which have their own
licenses:

* Cephes <http://www.netlib.org/cephes/readme>

Copyright (c) 1984-2000 Stephen L. Moshier

Some software in this archive may be from the book _Methods and Programs for
Mathematical Functions_ (Prentice-Hall or Simon & Schuster International, 1989)
or from the Cephes Mathematical Library, a commercial product. In either event,
it is copyrighted by the author. What you see here may be used freely but it
comes with no support or guarantee.

Stephen L. Moshier
[email protected]

* FreeBSD <https://svnweb.freebsd.org/>

Copyright (C) 1993-2004 by Sun Microsystems, Inc. All rights reserved.

Developed at SunPro, a Sun Microsystems, Inc. business.
Permission to use, copy, modify, and distribute this
software is freely granted, provided that this notice
is preserved.

* Boost <http://www.boost.org/LICENSE_1_0.txt>

Boost Software License - Version 1.0 - August 17th, 2003
Expand All @@ -207,27 +229,9 @@ FOR ANY DAMAGES OR OTHER LIABILITY, WHETHER IN CONTRACT, TORT OR OTHERWISE,
ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER
DEALINGS IN THE SOFTWARE.

* FreeBSD <https://svnweb.freebsd.org/>

Copyright (C) 1993-2004 by Sun Microsystems, Inc. All rights reserved.

Developed at SunPro, a Sun Microsystems, Inc. business.
Permission to use, copy, modify, and distribute this
software is freely granted, provided that this notice
is preserved.

* Cephes <http://www.netlib.org/cephes/readme>

Copyright (c) 1984-2000 Stephen L. Moshier

Some software in this archive may be from the book _Methods and Programs for
Mathematical Functions_ (Prentice-Hall or Simon & Schuster International, 1989)
or from the Cephes Mathematical Library, a commercial product. In either event,
it is copyrighted by the author. What you see here may be used freely but it
comes with no support or guarantee.
* SLATEC Common Mathematical Library <http://www.netlib.no/netlib/slatec/>

Stephen L. Moshier
[email protected]
Public domain.

* FDLIBM <http://www.netlib.org/fdlibm/>

Expand Down Expand Up @@ -260,6 +264,40 @@ LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
SOFTWARE.

THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
FITNESS FOR A PARTICULAR PURPOSE, TITLE AND NON-INFRINGEMENT. IN NO EVENT
SHALL THE COPYRIGHT HOLDERS OR ANYONE DISTRIBUTING THE SOFTWARE BE LIABLE
FOR ANY DAMAGES OR OTHER LIABILITY, WHETHER IN CONTRACT, TORT OR OTHERWISE,
ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER
DEALINGS IN THE SOFTWARE.
Apache License
Version 2.0, January 2004
http://www.apache.org/licenses/

* Faddeeva <http://ab-initio.mit.edu/wiki/index.php/Faddeeva_Package#License>

Copyright (c) 2012 Massachusetts Institute of Technology

Permission is hereby granted, free of charge, to any person obtaining
a copy of this software and associated documentation files (the
"Software"), to deal in the Software without restriction, including
without limitation the rights to use, copy, modify, merge, publish,
distribute, sublicense, and/or sell copies of the Software, and to
permit persons to whom the Software is furnished to do so, subject to
the following conditions:

The above copyright notice and this permission notice shall be
included in all copies or substantial portions of the Software.

THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE
LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION
OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION
WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.

* Go <https://raw.githubusercontent.com/golang/go/master/LICENSE>

Copyright (c) 2009 The Go Authors. All rights reserved.
Expand Down Expand Up @@ -290,33 +328,3 @@ THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.

* SLATEC Common Mathematical Library <http://www.netlib.no/netlib/slatec/>

Public domain.

* Faddeeva <http://ab-initio.mit.edu/wiki/index.php/Faddeeva_Package#License>

Copyright (c) 2012 Massachusetts Institute of Technology

Permission is hereby granted, free of charge, to any person obtaining
a copy of this software and associated documentation files (the
"Software"), to deal in the Software without restriction, including
without limitation the rights to use, copy, modify, merge, publish,
distribute, sublicense, and/or sell copies of the Software, and to
permit persons to whom the Software is furnished to do so, subject to
the following conditions:

The above copyright notice and this permission notice shall be
included in all copies or substantial portions of the Software.

THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE
LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION
OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION
WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
Apache License
Version 2.0, January 2004
http://www.apache.org/licenses/

186 changes: 151 additions & 35 deletions base/special/cround/README.md
Original file line number Diff line number Diff line change
Expand Up @@ -18,9 +18,9 @@ limitations under the License.
-->

# Round
# cround

> Round a complex number to the nearest integer.
> Round each component of a double-precision complex floating-point number to the nearest integer.
<section class="usage">

Expand All @@ -30,36 +30,50 @@ limitations under the License.
var cround = require( '@stdlib/math/base/special/cround' );
```

#### cround( \[out,] re, im )
#### cround( z )

Rounds a `complex` number comprised of a **real** component `re` and an **imaginary** component `im` to the nearest integer.
Rounds each component of a double-precision complex floating-point number to the nearest integer.

```javascript
var v = cround( -4.2, 5.5 );
// returns [ -4.0, 6.0 ]
var Complex128 = require( '@stdlib/complex/float64' );
var real = require( '@stdlib/complex/real' );
var imag = require( '@stdlib/complex/imag' );

v = cround( 9.99999, 0.1 );
// returns [ 10.0, 0.0 ]
var v = cround( new Complex128( -4.2, 5.5 ) );
// returns <Complex128>

v = cround( 0.0, 0.0 );
// returns [ 0.0, 0.0 ]
var re = real( v );
// returns -4.0

v = cround( NaN, NaN );
// returns [ NaN, NaN ]
```
var im = imag( v );
// returns 6.0

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.
v = cround( new Complex128( 9.99999, 0.1 ) );
// returns <Complex128>

```javascript
var Float64Array = require( '@stdlib/array/float64' );
re = real( v );
// returns 10.0

im = imag( v );
// returns 0.0

v = cround( new Complex128( 0.0, 0.0 ) );
// returns <Complex128>

re = real( v );
// returns 0.0

var out = new Float64Array( 2 );
im = imag( v );
// returns 0.0

var v = cround( out, -4.2, 5.5 );
// returns <Float64Array>[ -4.0, 6.0 ]
v = cround( new Complex128( NaN, NaN ) );
// returns <Complex128>

var bool = ( v === out );
// returns true
re = real( v );
// returns NaN

im = imag( v );
// returns NaN
```

</section>
Expand All @@ -73,33 +87,135 @@ var bool = ( v === out );
<!-- eslint no-undef: "error" -->

```javascript
var uniform = require( '@stdlib/random/base/uniform' ).factory;
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 cround = require( '@stdlib/math/base/special/cround' );

var re;
var im;
var rand = uniform( -50.0, 50.0 );

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 = cround( real(z), imag(z) );
w = new Complex128( o[ 0 ], o[ 1 ] );
console.log( 'round(%s) = %s', z.toString(), w.toString() );
z = new Complex128( rand(), rand() );
console.log( 'cround(%s) = %s', z, cround( z ) );
}
```

</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/cround.h"
```

#### stdlib_base_cround( z )

Rounds each component of a double-precision complex floating-point number to the nearest integer.

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

stdlib_complex128_t z = stdlib_complex128( -4.2, 5.5 );

stdlib_complex128_t out = stdlib_base_cround( z );

double re = stdlib_real( out );
// returns -4.0

double im = stdlib_imag( out );
// returns 6.0
```

The function accepts the following arguments:

- **z**: `[in] stdlib_complex128_t` input value.

```c
stdlib_complex128_t stdlib_base_cround( const stdlib_complex128_t z );
```
</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/cround.h"
#include "stdlib/complex/float64.h"
#include "stdlib/complex/reim.h"
#include <stdio.h>
int main( void ) {
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_cround( v );
stdlib_reim( v, &re1, &im1 );
stdlib_reim( y, &re2, &im2 );
printf( "cround(%lf + %lfi) = %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">
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