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134 changes: 134 additions & 0 deletions lib/node_modules/@stdlib/blas/ext/base/ndarray/dsortins/README.md
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<!--
@license Apache-2.0
Copyright (c) 2025 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.
-->

# dsortins

> Sort a one-dimensional double-precision floating-point ndarray using insertion sort.
<section class="intro">

</section>

<!-- /.intro -->

<section class="usage">

## Usage

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

#### dsortins( arrays )

Sorts a one-dimensional double-precision floating-point ndarray using insertion sort.

```javascript
var Float64Array = require( '@stdlib/array/float64' );
var scalar2ndarray = require( '@stdlib/ndarray/from-scalar' );
var ndarray2array = require( '@stdlib/ndarray/to-array' );
var ndarray = require( '@stdlib/ndarray/base/ctor' );

var xbuf = new Float64Array( [ 1.0, -2.0, 3.0, -4.0 ] );
var x = new ndarray( 'float64', xbuf, [ 4 ], [ 1 ], 0, 'row-major' );

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

var out = dsortins( [ x, order ] );
// returns <ndarray>

var arr = ndarray2array( out );
// returns [ -4.0, -2.0, 1.0, 3.0 ]
```

The function has the following parameters:

- **arrays**: array-like object containing a one-dimensional input ndarray and 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^2)`.
- The algorithm is efficient for **small** ndarrays (typically `N <= 20`) and is particularly efficient for sorting ndarrays which are already substantially sorted.
- The algorithm is **stable**, meaning that the algorithm does **not** change the order of ndarray elements which are equal or equivalent (e.g., `NaN` values).

</section>

<!-- /.notes -->

<section class="examples">

## Examples

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

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

var xbuf = discreteUniform( 10, -100, 100, {
'dtype': 'float64'
});
var x = new ndarray( 'float64', xbuf, [ xbuf.length ], [ 1 ], 0, 'row-major' );
console.log( ndarray2array( x ) );

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

dsortins( [ 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) 2025 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/array/uniform' );
var pow = require( '@stdlib/math/base/special/pow' );
var ndarray = require( '@stdlib/ndarray/base/ctor' );
var scalar2ndarray = require( '@stdlib/ndarray/from-scalar' );
var pkg = require( './../package.json' ).name;
var dsortins = require( './../lib' );


// VARIABLES //

var options = {
'dtype': 'float64'
};


// FUNCTIONS //

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

xbuf = uniform( len, 0.0, 100.0, options );
x = new ndarray( options.dtype, xbuf, [ len ], [ 1 ], 0, 'row-major' );

order = scalar2ndarray( -1.0, options );

return benchmark;

function benchmark( b ) {
var out;
var i;

b.tic();
for ( i = 0; i < b.iterations; i++ ) {
out = dsortins( [ x, order ] );
if ( typeof out !== 'object' ) {
b.fail( 'should return an ndarray' );
}
}
b.toc();
if ( xbuf[ i%len ] !== xbuf[ 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( pkg+':len='+len, f );

Check warning on line 101 in lib/node_modules/@stdlib/blas/ext/base/ndarray/dsortins/benchmark/benchmark.js

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}
}

main();
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{{alias}}( arrays )
Sorts a one-dimensional double-precision floating-point ndarray using
insertion sort.

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 strided array is
*mutated*).

Parameters
----------
arrays: ArrayLikeObject<ndarray>
Array-like object containing a one-dimensional input ndarray and a
zero-dimensional ndarray specifying the sort order.

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

Examples
--------
> var xbuf = new {{alias:@stdlib/array/float64}}( [ 1.0, -2.0, 3.0, -4.0 ] );
> var dt = 'float64';
> var sh = [ xbuf.length ];
> var sx = [ 1 ];
> var ox = 0;
> var ord = 'row-major';
> var x = new {{alias:@stdlib/ndarray/ctor}}( dt, xbuf, sh, sx, ox, ord );
> var o = {{alias:@stdlib/ndarray/from-scalar}}( 1.0, { 'dtype': 'generic' } );
> {{alias}}( [ x, o ] )
<ndarray>
> var data = x.data
<Float64Array>[ -4.0, -2.0, 1.0, 3.0 ]

See Also
--------
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/*
* @license Apache-2.0
*
* Copyright (c) 2025 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, float64ndarray } from '@stdlib/types/ndarray';

/**
* Sorts a one-dimensional double-precision floating-point ndarray using insertion sort.
*
* ## Notes
*
* - 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.
*
* @param arrays - array-like object containing a one-dimensional input ndarray and a zero-dimensional ndarray specifying the sort order
* @returns input ndarray
*
* @example
* var Float64Array = require( '@stdlib/array/float64' );
* var ndarray2array = require( '@stdlib/ndarray/to-array' );
* var scalar2ndarray = require( '@stdlib/ndarray/from-scalar' );
* var ndarray = require( '@stdlib/ndarray/base/ctor' );
*
* var xbuf = new Float64Array( [ 1.0, -2.0, 3.0, -4.0 ] );
* var x = new ndarray( 'float64', xbuf, [ 4 ], [ 1 ], 0, 'row-major' );
*
* var ord = scalar2ndarray( 1.0, {
* 'dtype': 'generic'
* });
*
* var out = dsortins( [ x, ord ] );
* // returns <ndarray>
*
* var arr = ndarray2array( out );
* // returns [ -4.0, -2.0, 1.0, 3.0 ]
*/
declare function dsortins( arrays: [ float64ndarray, typedndarray<number> ] ): float64ndarray;


// EXPORTS //

export = dsortins;
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