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82 changes: 82 additions & 0 deletions complex128/README.md
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Expand Up @@ -2335,6 +2335,88 @@ im = imag( z );
// returns 1.0
```

<a name="method-to-sorted"></a>

#### Complex128Array.prototype.toSorted( compareFcn )

Returns a new typed array containing the elements in sorted order.

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

function compare( a, b ) {
var re1;
var re2;
var im1;
var im2;
re1 = real( a );
re2 = real( b );
if ( re1 < re2 ) {
return -1;
}
if ( re1 > re2 ) {
return 1;
}
im1 = imag( a );
im2 = imag( b );
if ( im1 < im2 ) {
return -1;
}
if ( im1 > im2 ) {
return 1;
}
return 0;
}

var arr = new Complex128Array( 3 );

arr.set( [ 3.0, -3.0 ], 0 );
arr.set( [ 1.0, -1.0 ], 1 );
arr.set( [ 2.0, -2.0 ], 2 );

var out = arr.toSorted( compare );
// returns <Complex128Array>

var z = out.get( 0 );
// returns <Complex128>

var re = real( z );
// returns 1.0

var im = imag( z );
// returns -1.0

z = out.get( 1 );
// returns <Complex128>

re = real( z );
// returns 2.0

im = imag( z );
// returns -2.0

z = out.get( 2 );
// returns <Complex128>

re = real( z );
// returns 3.0

im = imag( z );
// returns -3.0
```

The `compareFcn` determines the order of the elements. The function is called with the following arguments:

- **a**: the first element for comparison.
- **b**: the second element for comparison.

The function should return a number where:

- a negative value indicates that `a` should come before `b`.
- a positive value indicates that `a` should come after `b`.
- zero or `NaN` indicates that `a` and `b` are considered equal.

<a name="method-to-string"></a>

#### Complex128Array.prototype.toString()
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88 changes: 88 additions & 0 deletions complex128/benchmark/benchmark.to_sorted.js
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@@ -0,0 +1,88 @@
/**
* @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 isComplex128Array = require( '@stdlib/assert/is-complex128array' );
var real = require( '@stdlib/complex/real' );
var imag = require( '@stdlib/complex/imag' );
var pkg = require( './../package.json' ).name;
var Complex128Array = require( './../lib' );


// FUNCTIONS //

/**
* Comparison function.
*
* @private
* @param {Complex128} a - first value for comparison
* @param {Complex128} b - second value for comparison
* @returns {number} comparison result
*/
function compareFcn( a, b ) {
var re1;
var re2;
var im1;
var im2;
re1 = real( a );
re2 = real( b );
if ( re1 < re2 ) {
return -1;
}
if ( re1 > re2 ) {
return 1;
}
im1 = imag( a );
im2 = imag( b );
if ( im1 < im2 ) {
return -1;
}
if ( im1 > im2 ) {
return 1;
}
return 0;
}


// MAIN //

bench( pkg+':toSorted', function benchmark( b ) {
var out;
var arr;
var i;

arr = new Complex128Array( [ 1, 2, 3, 4, 5, 6 ] );

b.tic();
for ( i = 0; i < b.iterations; i++ ) {
out = arr.toSorted( compareFcn );
if ( typeof out !== 'object' ) {
b.fail( 'should return an object' );
}
}
b.toc();
if ( !isComplex128Array( out ) ) {
b.fail( 'should return a Complex128Array' );
}
b.pass( 'benchmark finished' );
b.end();
});
137 changes: 137 additions & 0 deletions complex128/benchmark/benchmark.to_sorted.length.js
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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 isComplex128Array = require( '@stdlib/assert/is-complex128array' );
var real = require( '@stdlib/complex/real' );
var imag = require( '@stdlib/complex/imag' );
var pow = require( '@stdlib/math/base/special/pow' );
var Complex128 = require( '@stdlib/complex/float64' );
var pkg = require( './../package.json' ).name;
var Complex128Array = require( './../lib' );


// FUNCTIONS //

/**
* Comparison function.
*
* @private
* @param {Complex128} a - first value for comparison
* @param {Complex128} b - second value for comparison
* @returns {number} comparison result
*/
function compareFcn( a, b ) {
var re1;
var re2;
var im1;
var im2;
re1 = real( a );
re2 = real( b );
if ( re1 < re2 ) {
return -1;
}
if ( re1 > re2 ) {
return 1;
}
im1 = imag( a );
im2 = imag( b );
if ( im1 < im2 ) {
return -1;
}
if ( im1 > im2 ) {
return 1;
}
return 0;
}

/**
* Creates a benchmark function.
*
* @private
* @param {PositiveInteger} len - array length
* @returns {Function} benchmark function
*/
function createBenchmark( len ) {
var arr;
var i;

arr = [];
for ( i = 0; i < len; i++ ) {
arr.push( new Complex128( i, i ) );
}
arr = new Complex128Array( arr );

return benchmark;

/**
* Benchmark function.
*
* @private
* @param {Benchmark} b - benchmark instance
*/
function benchmark( b ) {
var out;
var i;

b.tic();
for ( i = 0; i < b.iterations; i++ ) {
out = arr.toSorted( compareFcn );
if ( typeof out !== 'object' ) {
b.fail( 'should return an object' );
}
}
b.toc();
if ( !isComplex128Array( out ) ) {
b.fail( 'should return a Complex128Array' );
}
b.pass( 'benchmark finished' );
b.end();
}
}


// MAIN //

/**
* Main execution sequence.
*
* @private
*/
function main() {
var len;
var min;
var max;
var f;
var i;

min = 1; // 10^min
max = 6; // 10^max

for ( i = min; i <= max; i++ ) {
len = pow( 10, i );
f = createBenchmark( len );
bench( pkg+':toSorted:len='+len, f );
}
}

main();
72 changes: 72 additions & 0 deletions complex128/docs/types/index.d.ts
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Expand Up @@ -1375,6 +1375,78 @@ declare class Complex128Array implements Complex128ArrayInterface {
*/
toReversed(): Complex128Array;

/**
* Returns a new typed array containing the elements in sorted order.
*
* @param compareFcn - comparison function
* @returns sorted array
*
* @example
* var real = require( '@stdlib/complex/real' );
* var imag = require( '@stdlib/complex/imag' );
*
* function compare( a, b ) {
* var re1;
* var re2;
* var im1;
* var im2;
* re1 = real( a );
* re2 = real( b );
* if ( re1 < re2 ) {
* return -1;
* }
* if ( re1 > re2 ) {
* return 1;
* }
* im1 = imag( a );
* im2 = imag( b );
* if ( im1 < im2 ) {
* return -1;
* }
* if ( im1 > im2 ) {
* return 1;
* }
* return 0;
* }
*
* var arr = new Complex128Array( 3 );
*
* arr.set( [ 3.0, -3.0 ], 0 );
* arr.set( [ 1.0, -1.0 ], 1 );
* arr.set( [ 2.0, -2.0 ], 2 );
*
* var out = arr.toSorted( compare );
* // returns <Complex128Array>
*
* var z = out.get( 0 );
* // returns <Complex128>
*
* var re = real( z );
* // returns 1.0
*
* var im = imag( z );
* // returns -1.0
*
* z = out.get( 1 );
* // returns <Complex128>
*
* re = real( z );
* // returns 2.0
*
* im = imag( z );
* // returns -2.0
*
* z = out.get( 2 );
* // returns <Complex128>
*
* re = real( z );
* // returns 3.0
*
* im = imag( z );
* // returns -3.0
*/
toSorted( compareFcn: CompareFcn ): Complex128Array;

/**
* Serializes an array as a string.
*
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