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feat!: refactor to remove out argument and add C implementation
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This commits removes support for providing an `out` argument and now operates on complex number objects.

BREAKING CHANGE: remove support for `out` argument and use complex number objects

To migrate, consumers need to use complex number objects.

PR-URL: 	#981
Co-authored-by: Athan Reines <[email protected]>
Reviewed-by: Athan Reines <[email protected]>
Private-ref: stdlib-js/todo#1454
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steff456 and kgryte authored Jul 21, 2023
1 parent 3f6961f commit 70a1973
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157 changes: 127 additions & 30 deletions lib/node_modules/@stdlib/math/base/special/cinv/README.md
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Expand Up @@ -18,9 +18,9 @@ limitations under the License.
-->

# inv
# cinv

> Compute the inverse of a complex number.
> Compute the inverse of a double-precision complex floating-point number.
<section class="intro">

Expand All @@ -47,27 +47,23 @@ The inverse (or reciprocal) of a non-zero complex number `z = a + bi` is defined
var cinv = require( '@stdlib/math/base/special/cinv' );
```

#### cinv( \[out,] re1, im1 )
#### cinv( z )

Computes the inverse of a `complex` number comprised of a **real** component `re` and an **imaginary** component `im`.
Computes the inverse of a double-precision complex floating-point number.

```javascript
var v = cinv( 2.0, 4.0 );
// returns [ 0.1, -0.2 ]
```

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

var out = new Float64Array( 2 );
var v = cinv( new Complex128( 2.0, 4.0 ) );
// returns <Complex128>

var v = cinv( out, 2.0, 4.0 );
// returns <Float64Array>[ 0.1, -0.2 ]
var re = real( v );
// returns 0.1

var bool = ( v === out );
// returns true
var im = imag( v );
// returns -0.2
```

</section>
Expand All @@ -82,26 +78,16 @@ var bool = ( v === out );

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

var re;
var im;
var z1;
var z2;
var o;
var i;

for ( i = 0; i < 100; i++ ) {
re = round( randu()*100.0 ) - 50.0;
im = round( randu()*100.0 ) - 50.0;
z1 = new Complex128( re, im );

o = cinv( real(z1), imag(z1) );
z2 = new Complex128( o[ 0 ], o[ 1 ] );
z1 = new Complex128( uniform( -50.0, 50.0 ), uniform( -50.0, 50.0 ) );
z2 = cinv( z1 );

console.log( '1.0 / (%s) = %s', z1.toString(), z2.toString() );
}
Expand All @@ -111,6 +97,117 @@ for ( i = 0; i < 100; i++ ) {

<!-- /.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/cinv.h"
```

#### stdlib_base_cinv( z )

Computes the inverse of a double-precision complex floating-point number.

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

stdlib_complex128_t z = stdlib_complex128( 2.0, 4.0 );

stdlib_complex128_t out = stdlib_base_cinv( z );

double re = stdlib_real( out );
// returns 0.1

double im = stdlib_imag( out );
// returns -0.2
```

The function accepts the following arguments:

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

```c
stdlib_complex128_t stdlib_base_cinv( 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/cinv.h"
#include "stdlib/complex/float64.h"
#include "stdlib/complex/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_cinv( v );
stdlib_reim( v, &re1, &im1 );
stdlib_reim( y, &re2, &im2 );
printf( "cinv(%lf + %lfi) = %lf + %lfi\n", re1, im1, re2, im2 );
}
}
```

</section>

<!-- /.examples -->

</section>

<!-- /.c -->

* * *

<section class="references">
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Expand Up @@ -21,58 +21,37 @@
// MODULES //

var bench = require( '@stdlib/bench' );
var randu = require( '@stdlib/random/base/randu' );
var isArray = require( '@stdlib/assert/is-array' );
var uniform = require( '@stdlib/random/base/uniform' );
var isnan = require( '@stdlib/math/base/assert/is-nan' );
var Complex128 = require( '@stdlib/complex/float64' );
var real = require( '@stdlib/complex/real' );
var imag = require( '@stdlib/complex/imag' );
var pkg = require( './../package.json' ).name;
var cinv = require( './../lib' );


// MAIN //

bench( pkg, function benchmark( b ) {
var re;
var im;
var values;
var y;
var i;

b.tic();
for ( i = 0; i < b.iterations; i++ ) {
re = ( randu()*1000.0 ) - 500.0;
im = ( randu()*1000.0 ) - 500.0;
y = cinv( re, im );
if ( y.length === 0 ) {
b.fail( 'should not be empty' );
}
}
b.toc();
if ( !isArray( y ) ) {
b.fail( 'should return an array' );
}
b.pass( 'benchmark finished' );
b.end();
});

bench( pkg+'::memory_reuse', function benchmark( b ) {
var out;
var re;
var im;
var y;
var i;

out = new Array( 2 );
values = [
new Complex128( uniform( -500.0, 500.0 ), uniform( -500.0, 500.0 ) ),
new Complex128( uniform( -500.0, 500.0 ), uniform( -500.0, 500.0 ) )
];

b.tic();
for ( i = 0; i < b.iterations; i++ ) {
re = ( randu()*1000.0 ) - 500.0;
im = ( randu()*1000.0 ) - 500.0;
y = cinv( out, re, im );
if ( y.length === 0 ) {
b.fail( 'should not be empty' );
y = cinv( values[ i%values.length ] );
if ( isnan( real( y ) ) ) {
b.fail( 'should not return NaN' );
}
}
b.toc();
if ( !isArray( y ) ) {
b.fail( 'should return an array' );
if ( isnan( imag( y ) ) ) {
b.fail( 'should not return not NaN' );
}
b.pass( 'benchmark finished' );
b.end();
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Original file line number Diff line number Diff line change
@@ -0,0 +1,67 @@
/**
* @license Apache-2.0
*
* Copyright (c) 2023 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 resolve = require( 'path' ).resolve;
var bench = require( '@stdlib/bench' );
var uniform = require( '@stdlib/random/base/uniform' );
var isnan = require( '@stdlib/math/base/assert/is-nan' );
var real = require( '@stdlib/complex/real' );
var imag = require( '@stdlib/complex/imag' );
var Complex128 = require( '@stdlib/complex/float64' );
var tryRequire = require( '@stdlib/utils/try-require' );
var pkg = require( './../package.json' ).name;


// VARIABLES //

var cinv = tryRequire( resolve( __dirname, './../lib/native.js' ) );
var opts = {
'skip': ( cinv instanceof Error )
};


// MAIN //

bench( pkg+'::native', opts, function benchmark( b ) {
var values;
var y;
var i;

values = [
new Complex128( uniform( -500.0, 500.0 ), uniform( -500.0, 500.0 ) ),
new Complex128( uniform( -500.0, 500.0 ), uniform( -500.0, 500.0 ) )
];

b.tic();
for ( i = 0; i < b.iterations; i++ ) {
y = cinv( values[ i%values.length ] );
if ( isnan( real( y ) ) ) {
b.fail( 'should not return NaN' );
}
}
b.toc();
if ( isnan( imag( y ) ) ) {
b.fail( 'should not return NaN' );
}
b.pass( 'benchmark finished' );
b.end();
});
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