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blas-ext-base-gsorthp

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Sort a strided array using heapsort.

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<details>
  <summary>
    About stdlib...
  </summary>
  <p>We believe in a future in which the web is a preferred environment for numerical computation. To help realize this future, we've built stdlib. stdlib is a standard library, with an emphasis on numerical and scientific computation, written in JavaScript (and C) for execution in browsers and in Node.js.</p>
  <p>The library is fully decomposable, being architected in such a way that you can swap out and mix and match APIs and functionality to cater to your exact preferences and use cases.</p>
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</details>

# gsorthp

[![NPM version][npm-image]][npm-url] [![Build Status][test-image]][test-url] [![Coverage Status][coverage-image]][coverage-url]

> Sort a strided array using heapsort.

## Installation

```bash
npm install @stdlib/blas-ext-base-gsorthp
```

Alternatively,

-   To load the package in a website via a `script` tag without installation and bundlers, use the [ES Module][es-module] available on the [`esm`][esm-url] branch (see [README][esm-readme]).
-   If you are using Deno, visit the [`deno`][deno-url] branch (see [README][deno-readme] for usage intructions).
-   For use in Observable, or in browser/node environments, use the [Universal Module Definition (UMD)][umd] build available on the [`umd`][umd-url] branch (see [README][umd-readme]).

The [branches.md][branches-url] file summarizes the available branches and displays a diagram illustrating their relationships.

To view installation and usage instructions specific to each branch build, be sure to explicitly navigate to the respective README files on each branch, as linked to above.

</section>

## Usage

```javascript
var gsorthp = require( '@stdlib/blas-ext-base-gsorthp' );
```

#### gsorthp( N, order, x, strideX )

Sorts a strided array using heapsort.

```javascript
var x = [ 1.0, -2.0, 3.0, -4.0 ];

gsorthp( x.length, 1.0, x, 1 );
// x => [ -4.0, -2.0, 1.0, 3.0 ]
```

The function has the following parameters:

-   **N**: number of indexed elements.
-   **order**: sort order. If `order < 0.0`, the input strided array is sorted in **decreasing** order. If `order > 0.0`, the input strided array is sorted in **increasing** order. If `order == 0.0`, the input strided array is left unchanged.
-   **x**: input [`Array`][mdn-array] or [`typed array`][mdn-typed-array].
-   **strideX**: stride length.

The `N` and stride parameters determine which elements in the strided array are accessed at runtime. For example, to sort every other element:

```javascript
var x = [ 1.0, -2.0, 3.0, -4.0 ];

gsorthp( 2, -1.0, x, 2 );
// x => [ 3.0, -2.0, 1.0, -4.0 ]
```

Note that indexing is relative to the first index. To introduce an offset, use [`typed array`][mdn-typed-array] views.

```javascript
var Float64Array = require( '@stdlib/array-float64' );

// Initial array...
var x0 = new Float64Array( [ 1.0, 2.0, 3.0, 4.0 ] );

// Create an offset view...
var x1 = new Float64Array( x0.buffer, x0.BYTES_PER_ELEMENT*1 ); // start at 2nd element

// Sort every other element...
gsorthp( 2, -1.0, x1, 2 );
// x0 => <Float64Array>[ 1.0, 4.0, 3.0, 2.0 ]
```

#### gsorthp.ndarray( N, order, x, strideX, offsetX )

Sorts a strided array using heapsort and alternative indexing semantics.

```javascript
var x = [ 1.0, -2.0, 3.0, -4.0 ];

gsorthp.ndarray( x.length, 1.0, x, 1, 0 );
// x => [ -4.0, -2.0, 1.0, 3.0 ]
```

The function has the following additional parameters:

-   **offsetX**: starting index.

While [`typed array`][mdn-typed-array] views mandate a view offset based on the underlying buffer, the offset parameter supports indexing semantics based on a starting index. For example, to access only the last three elements:

```javascript
var x = [ 1.0, -2.0, 3.0, -4.0, 5.0, -6.0 ];

gsorthp.ndarray( 3, 1.0, x, 1, x.length-3 );
// x => [ 1.0, -2.0, 3.0, -6.0, -4.0, 5.0 ]
```

</section>

## Notes

-   If `N <= 0` or `order == 0.0`, both functions return `x` unchanged.
-   Both functions support array-like objects having getter and setter accessors for array element access (e.g., [`@stdlib/array-base/accessor`][@stdlib/array/base/accessor]).
-   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 time complexity `O(N log2 N)`.
-   The algorithm is **unstable**, meaning that the algorithm may change the order of strided array elements which are equal or equivalent (e.g., `NaN` values).
-   The input strided array is sorted **in-place** (i.e., the input strided array is **mutated**).
-   Depending on the environment, the typed versions ([`dsorthp`][@stdlib/blas/ext/base/dsorthp], [`ssorthp`][@stdlib/blas/ext/base/ssorthp], etc.) are likely to be significantly more performant.

</section>

## Examples

```javascript
var discreteUniform = require( '@stdlib/random-array-discrete-uniform' );
var gsorthp = require( '@stdlib/blas-ext-base-gsorthp' );

var x = discreteUniform( 10, -100, 100, {
    'dtype': 'float64'
});
console.log( x );

gsorthp( x.length, -1.0, x, -1 );
console.log( x );
```

</section>

* * *

## References

-   Williams, John William Joseph. 1964. "Algorithm 232: Heapsort." _Communications of the ACM_ 7 (6). New York, NY, USA: Association for Computing Machinery: 347–49. doi:[10.1145/512274.512284][@williams:1964a].
-   Floyd, Robert W. 1964. "Algorithm 245: Treesort." _Communications of the ACM_ 7 (12). New York, NY, USA: Association for Computing Machinery: 701. doi:[10.1145/355588.365103][@floyd:1964a].

</section>

* * *

## See Also

-   <span class="package-name">[`@stdlib/blas-ext/base/dsorthp`][@stdlib/blas/ext/base/dsorthp]</span><span class="delimiter">: </span><span class="description">sort a double-precision floating-point strided array using heapsort.</span>
-   <span class="package-name">[`@stdlib/blas-ext/base/gsort2hp`][@stdlib/blas/ext/base/gsort2hp]</span><span class="delimiter">: </span><span class="description">simultaneously sort two strided arrays based on the sort order of the first array using heapsort.</span>
-   <span class="package-name">[`@stdlib/blas-ext/base/ssorthp`][@stdlib/blas/ext/base/ssorthp]</span><span class="delimiter">: </span><span class="description">sort a single-precision floating-point strided array using heapsort.</span>

</section>

* * *

## Notice

This package is part of [stdlib][stdlib], a standard library for JavaScript and Node.js, with an emphasis on numerical and scientific computing. The library provides a collection of robust, high performance libraries for mathematics, statistics, streams, utilities, and more.

For more information on the project, filing bug reports and feature requests, and guidance on how to develop [stdlib][stdlib], see the main project [repository][stdlib].

#### Community

[![Chat][chat-image]][chat-url]

---

## License

See [LICENSE][stdlib-license].

## Copyright

</section>

[npm-image]: http://img.shields.io/npm/v/@stdlib/blas-ext-base-gsorthp.svg
[npm-url]: https://npmjs.org/package/@stdlib/blas-ext-base-gsorthp

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[stdlib]: https://github.com/stdlib-js/stdlib

[stdlib-authors]: https://github.com/stdlib-js/stdlib/graphs/contributors

[umd]: https://github.com/umdjs/umd
[es-module]: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Guide/Modules

[deno-url]: https://github.com/stdlib-js/blas-ext-base-gsorthp/tree/deno
[deno-readme]: https://github.com/stdlib-js/blas-ext-base-gsorthp/blob/deno/README.md
[umd-url]: https://github.com/stdlib-js/blas-ext-base-gsorthp/tree/umd
[umd-readme]: https://github.com/stdlib-js/blas-ext-base-gsorthp/blob/umd/README.md
[esm-url]: https://github.com/stdlib-js/blas-ext-base-gsorthp/tree/esm
[esm-readme]: https://github.com/stdlib-js/blas-ext-base-gsorthp/blob/esm/README.md
[branches-url]: https://github.com/stdlib-js/blas-ext-base-gsorthp/blob/main/branches.md

[stdlib-license]: https://raw.githubusercontent.com/stdlib-js/blas-ext-base-gsorthp/main/LICENSE

[mdn-array]: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/Array

[mdn-typed-array]: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/TypedArray

[@stdlib/array/base/accessor]: https://github.com/stdlib-js/array-base-accessor

[@williams:1964a]: https://doi.org/10.1145/512274.512284

[@floyd:1964a]: https://doi.org/10.1145/355588.365103

[@stdlib/blas/ext/base/dsorthp]: https://github.com/stdlib-js/blas-ext-base-dsorthp

[@stdlib/blas/ext/base/gsort2hp]: https://github.com/stdlib-js/blas-ext-base-gsort2hp

[@stdlib/blas/ext/base/ssorthp]: https://github.com/stdlib-js/blas-ext-base-ssorthp

</section>

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