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feat: add complex/float64/base/assert/is-same-value-zero
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Ref: #2260
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kgryte committed May 25, 2024
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<!--
@license Apache-2.0
Copyright (c) 2024 The Stdlib Authors.
Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at
http://www.apache.org/licenses/LICENSE-2.0
Unless required by applicable law or agreed to in writing, software
distributed under the License is distributed on an "AS IS" BASIS,
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
See the License for the specific language governing permissions and
limitations under the License.
-->

# isSameValueZero

> Test whether two double-precision complex floating-point numbers are the same value.
<!-- 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 -->

<!-- Package usage documentation. -->

<section class="usage">

## Usage

```javascript
var isSameValueZero = require( '@stdlib/complex/float64/base/assert/is-same-value-zero' );
```

#### isSameValueZero( z1, z2 )

Tests whether two double-precision complex floating-point numbers are the same value.

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

var z1 = new Complex128( 5.0, 3.0 );
var z2 = new Complex128( 5.0, 3.0 );

var out = isSameValueZero( z1, z2 );
// returns true
```

In contrast to the strict equality operator `===`, the function treats `NaNs` as the same value.

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

var z1 = new Complex128( NaN, NaN );
var z2 = new Complex128( NaN, NaN );

var out = isSameValueZero( z1, z2 );
// returns true
```

In contrast to the [SameValue Algorithm][@stdlib/complex/float64/base/assert/is-same-value] (as specified in ECMAScript 5), the function does not distinguish between `+0` and `-0`.

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

var z1 = new Complex128( -0.0, 0.0 );
var z2 = new Complex128( 0.0, -0.0 );

var out = isSameValueZero( z1, z2 );
// returns true
```

</section>

<!-- /.usage -->

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

<section class="notes">

</section>

<!-- /.notes -->

<!-- Package usage examples. -->

<section class="examples">

## Examples

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

```javascript
var Complex128 = require( '@stdlib/complex/float64/ctor' );
var isSameValueZero = require( '@stdlib/complex/float64/base/assert/is-same-value-zero' );

var z1 = new Complex128( 5.0, 3.0 );
var z2 = new Complex128( 5.0, 3.0 );
var out = isSameValueZero( z1, z2 );
// returns true

z1 = new Complex128( -5.0, -3.0 );
z2 = new Complex128( 5.0, 3.0 );
out = isSameValueZero( z1, z2 );
// returns false

z1 = new Complex128( NaN, 3.0 );
z2 = new Complex128( NaN, 3.0 );
out = isSameValueZero( z1, z2 );
// returns true
```

</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/complex/float64/base/assert/is_same_value_zero.h"
```

#### stdlib_base_complex128_is_same_value_zero( z1, z2 )

Tests whether two double-precision complex floating-point numbers are the same value.

```c
#include "stdlib/complex/float64/ctor.h"
#include <stdbool.h>

stdlib_complex128_t z1 = stdlib_complex128( 5.0, 2.0 );
stdlib_complex128_t z2 = stdlib_complex128( 5.0, 2.0 );

bool v = stdlib_base_complex128_is_same_value_zero( z1, z2 );
```

The function accepts the following arguments:

- **z1**: `[in] stdlib_complex128_t` first double-precision complex floating-point number.
- **z2**: `[in] stdlib_complex128_t` second double-precision complex floating-point number.

```c
bool stdlib_base_complex128_is_same_value_zero( const stdlib_complex128_t z1, const stdlib_complex128_t z2 );
```
</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/complex/float64/base/assert/is_same_value_zero.h"
#include "stdlib/complex/float64/ctor.h"
#include <stdbool.h>
#include <stdio.h>
int main( void ) {
const stdlib_complex128_t z[] = {
stdlib_complex128( 5.0, 2.0 ),
stdlib_complex128( -2.0, 1.0 ),
stdlib_complex128( 0.0, -0.0 ),
stdlib_complex128( 0.0/0.0, 0.0/0.0 )
};
bool v;
int i;
for ( i = 0; i < 4; i++ ) {
v = stdlib_base_complex128_is_same_value_zero( z[ i ], z[ i ] );
printf( "Same value? %s\n", ( v ) ? "True" : "False" );
}
}
```

</section>

<!-- /.examples -->

</section>

<!-- /.c -->

<!-- Section to include cited references. If references are included, add a horizontal rule *before* the section. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->

<section class="references">

</section>

<!-- /.references -->

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

<section class="related">

</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">

[@stdlib/complex/float64/base/assert/is-same-value]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/complex/float64/base/assert/is-same-value

</section>

<!-- /.links -->
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/**
* @license Apache-2.0
*
* Copyright (c) 2024 The Stdlib Authors.
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/

'use strict';

// MODULES //

var bench = require( '@stdlib/bench' );
var Complex128 = require( '@stdlib/complex/float64/ctor' );
var randu = require( '@stdlib/random/base/randu' );
var isBoolean = require( '@stdlib/assert/is-boolean' ).isPrimitive;
var pkg = require( './../package.json' ).name;
var isSameValueZero = require( './../lib' );


// MAIN //

bench( pkg, function benchmark( b ) {
var z1;
var z2;
var v;
var i;

z1 = [
new Complex128( randu(), randu() ),
new Complex128( randu(), randu() )
];
z2 = [
new Complex128( randu(), randu() ),
new Complex128( randu(), randu() ),
z1[ 0 ],
z1[ 1 ]
];

b.tic();
for ( i = 0; i < b.iterations; i++ ) {
v = isSameValueZero( z1[ i%z1.length ], z2[ i%z2.length ] );
if ( typeof v !== 'boolean' ) {
b.fail( 'should return a boolean' );
}
}
b.toc();
if ( !isBoolean( v ) ) {
b.fail( 'should return a boolean' );
}
b.pass( 'benchmark finished' );
b.end();
});
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{{alias}}( z1, z2 )
Tests whether two double-precision complex floating-point numbers are the
same value.

The function differs from the `===` operator in that the function treats
`NaNs` as the same value.

Parameters
----------
z1: Complex128
First complex number.

z2: Complex128
Second complex number.

Returns
-------
out: boolean
Result.

Examples
--------
> var z1 = new {{alias:@stdlib/complex/float64/ctor}}( 5.0, 3.0 );
> var z2 = new {{alias:@stdlib/complex/float64/ctor}}( 5.0, 3.0 );
> var v = {{alias}}( z1, z2 )
true

See Also
--------

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/*
* @license Apache-2.0
*
* Copyright (c) 2024 The Stdlib Authors.
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/

// TypeScript Version: 4.1

import Complex128 = require( '@stdlib/complex/float64/ctor' );

/**
* Tests whether two double-precision complex floating-point numbers are the same value.
*
* ## Notes
*
* - In contrast to the strict equality operator `===`, `NaNs` are treated as the same value.
*
* @param z1 - first complex number
* @param z2 - second complex number
* @returns boolean indicating if both complex numbers are the same value
*
* @example
* var Complex128 = require( '@stdlib/complex/float64/ctor' );
*
* var z1 = new Complex128( 5.0, 3.0 );
* var z2 = new Complex128( 5.0, 3.0 );
*
* var v = isSameValueZero( z1, z2 );
* // returns true
*/
declare function isSameValueZero( z1: Complex128, z2: Complex128 ): boolean;


// EXPORTS //

export = isSameValueZero;
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