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130 changes: 130 additions & 0 deletions lib/node_modules/@stdlib/blas/ext/base/ndarray/ssortsh/README.md
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<!--

@license Apache-2.0

Copyright (c) 2026 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.

-->

# ssortsh

> Sort a one-dimensional single-precision floating-point ndarray using Shellsort.

<section class="intro">

</section>

<!-- /.intro -->

<section class="usage">

## Usage

```javascript
var ssortsh = require( '@stdlib/blas/ext/base/ndarray/ssortsh' );
```

#### ssortsh( arrays )

Sorts a one-dimensional single-precision floating-point ndarray using Shellsort.

```javascript
var Float32Vector = require( '@stdlib/ndarray/vector/float32' );
var scalar2ndarray = require( '@stdlib/ndarray/from-scalar' );

var x = new Float32Vector( [ 1.0, -2.0, 3.0, -4.0 ] );

var order = scalar2ndarray( 1.0, {
'dtype': 'generic'
});

var out = ssortsh( [ x, order ] );
// returns <ndarray>[ -4.0, -2.0, 1.0, 3.0 ]
```

The function has the following parameters:

- **arrays**: array-like object containing the following ndarrays:

- a one-dimensional input ndarray.
- a zero-dimensional ndarray specifying the sort order.

</section>

<!-- /.usage -->

<section class="notes">

## Notes

- The input ndarray is sorted **in-place** (i.e., the input ndarray is **mutated**).
- When the sort order is less than zero, the input ndarray is sorted in **decreasing** order. When the sort order is greater than zero, the input ndarray is sorted in **increasing** order. When the sort order is equal to zero, the input ndarray is left unchanged.
- The algorithm distinguishes between `-0` and `+0`. When sorted in increasing order, `-0` is sorted before `+0`. When sorted in decreasing order, `-0` is sorted after `+0`.
- The algorithm sorts `NaN` values to the end. When sorted in increasing order, `NaN` values are sorted last. When sorted in decreasing order, `NaN` values are sorted first.
- The algorithm has space complexity `O(1)` and worst case time complexity `O(N^(4/3))`.
- The algorithm is efficient for **shorter** ndarrays (typically `N <= 50`).

</section>

<!-- /.notes -->

<section class="examples">

## Examples

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

```javascript
var discreteUniform = require( '@stdlib/random/discrete-uniform' );
var scalar2ndarray = require( '@stdlib/ndarray/from-scalar' );
var ndarray2array = require( '@stdlib/ndarray/to-array' );
var ndarraylike2scalar = require( '@stdlib/ndarray/ndarraylike2scalar' );
var ssortsh = require( '@stdlib/blas/ext/base/ndarray/ssortsh' );

var opts = {
'dtype': 'float32'
};

var x = discreteUniform( [ 10 ], -100, 100, opts );
console.log( ndarray2array( x ) );

var order = scalar2ndarray( 1.0, {
'dtype': 'generic'
});
console.log( 'Order:', ndarraylike2scalar( order ) );

ssortsh( [ x, order ] );
console.log( ndarray2array( x ) );
```

</section>

<!-- /.examples -->

<!-- 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">

</section>

<!-- /.links -->
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/**
* @license Apache-2.0
*
* Copyright (c) 2026 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 uniform = require( '@stdlib/random/uniform' );
var isnan = require( '@stdlib/math/base/assert/is-nan' );
var pow = require( '@stdlib/math/base/special/pow' );
var scalar2ndarray = require( '@stdlib/ndarray/from-scalar' );
var format = require( '@stdlib/string/format' );
var pkg = require( './../package.json' ).name;
var ssortsh = require( './../lib' );


// VARIABLES //

var options = {
'dtype': 'float32'
};


// FUNCTIONS //

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

x = uniform( [ len ], 0.0, 100.0, options );
order = scalar2ndarray( -1.0, options );
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 = ssortsh( [ x, order ] );
if ( typeof out !== 'object' ) {
b.fail( 'should return an ndarray' );
}
}
b.toc();
if ( isnan( out.get( i%len ) ) ) {
b.fail( 'should not return NaN' );
}
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( format( '%s:len=%d', pkg, len ), f );
}
}

main();
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{{alias}}( arrays )
Sorts a one-dimensional single-precision floating-point ndarray using
Shellsort.

When the sort order is less than zero, the input ndarray is sorted in
decreasing order. When the sort order is greater than zero, the input
ndarray is sorted in increasing order. When the sort order is equal to zero,
the input ndarray is left unchanged.

The input ndarray is sorted *in-place* (i.e., the input ndarray is
*mutated*).

Parameters
----------
arrays: ArrayLikeObject<ndarray>
Array-like object containing the following ndarrays:

- a one-dimensional input ndarray.
- a zero-dimensional ndarray specifying the sort order.

Returns
-------
out: ndarray
Input ndarray.

Examples
--------
> var x = new {{alias:@stdlib/ndarray/vector/float32}}( [ 1.0, -2.0, 3.0, -4.0 ] );
> var o = {{alias:@stdlib/ndarray/from-scalar}}( 1.0, { 'dtype': 'float32' } );
> {{alias}}( [ x, o ] )
<ndarray>[ -4.0, -2.0, 1.0, 3.0 ]

See Also
--------
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/*
* @license Apache-2.0
*
* Copyright (c) 2026 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

/// <reference types="@stdlib/types"/>

import { typedndarray, float32ndarray } from '@stdlib/types/ndarray';

/**
* Sorts a one-dimensional single-precision floating-point ndarray using Shellsort.
*
* ## Notes
*
* - The function expects the following ndarrays:
*
* - a one-dimensional input ndarray.
* - a zero-dimensional ndarray specifying the sort order.
*
* @param arrays - array-like object containing ndarrays
* @returns input ndarray
*
* @example
* var Float32Vector = require( '@stdlib/ndarray/vector/float32' );
* var scalar2ndarray = require( '@stdlib/ndarray/from-scalar' );
*
* var x = new Float32Vector( [ 1.0, -2.0, 3.0, -4.0 ] );
*
* var ord = scalar2ndarray( 1.0, {
* 'dtype': 'generic'
* });
*
* var out = ssortsh( [ x, ord ] );
* // returns <ndarray>[ -4.0, -2.0, 1.0, 3.0 ]
*/
declare function ssortsh( arrays: [ float32ndarray, typedndarray<number> ] ): float32ndarray;


// EXPORTS //

export = ssortsh;
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/*
* @license Apache-2.0
*
* Copyright (c) 2026 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.
*/

/* eslint-disable space-in-parens */

import zeros = require( '@stdlib/ndarray/zeros' );
import scalar2ndarray = require( '@stdlib/ndarray/from-scalar' );
import ssortsh = require( './index' );


// TESTS //

// The function returns an ndarray...
{
const x = zeros( [ 10 ], {
'dtype': 'float32'
});
const order = scalar2ndarray( 1.0, {
'dtype': 'generic'
});

ssortsh( [ x, order ] ); // $ExpectType float32ndarray
}

// The compiler throws an error if the function is provided a first argument which is not an array of ndarrays...
{
ssortsh( '10' ); // $ExpectError
ssortsh( 10 ); // $ExpectError
ssortsh( true ); // $ExpectError
ssortsh( false ); // $ExpectError
ssortsh( null ); // $ExpectError
ssortsh( undefined ); // $ExpectError
ssortsh( [] ); // $ExpectError
ssortsh( {} ); // $ExpectError
ssortsh( ( x: number ): number => x ); // $ExpectError
}

// The compiler throws an error if the function is provided an unsupported number of arguments...
{
const x = zeros( [ 10 ], {
'dtype': 'float32'
});
const order = scalar2ndarray( 1.0, {
'dtype': 'generic'
});

ssortsh(); // $ExpectError
ssortsh( [ x, order ], {} ); // $ExpectError
}
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