npm package: @stdlib/stats-base-mediansorted
Description: Calculate the median value of a sorted strided array.
Author: The Stdlib Authors
Latest version: 0.2.2

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<details>
  <summary>
    About stdlib...
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</details>

# mediansorted

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

> Calculate the median value of a sorted strided array.

<section class="intro">

</section>

<!-- /.intro -->

<section class="installation">

## Installation

```bash
npm install @stdlib/stats-base-mediansorted
```

</section>

<section class="usage">

## Usage

```javascript
var mediansorted = require( '@stdlib/stats-base-mediansorted' );
```

#### mediansorted( N, x, stride )

Computes the median value of a sorted strided array `x`.

```javascript
var x = [ 1.0, 2.0, 3.0 ];
var v = mediansorted( x.length, x, 1 );
// returns 2.0

x = [ 3.0, 2.0, 1.0 ];
v = mediansorted( x.length, x, 1 );
// returns 2.0
```

The function has the following parameters:

-   **N**: number of indexed elements.
-   **x**: input [`Array`][mdn-array] or [`typed array`][mdn-typed-array].
-   **stride**: index increment for `x`.

The `N` and `stride` parameters determine which elements in `x` are accessed at runtime. For example, to compute the median value of every other element in `x`,

```javascript
var floor = require( '@stdlib/math-base-special-floor' );

var x = [ 1.0, 2.0, 2.0, -7.0, 3.0, 3.0, 4.0, 2.0 ];
var N = floor( x.length / 2 );

var v = mediansorted( N, x, 2 );
// returns 2.5
```

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

<!-- eslint-disable stdlib/capitalized-comments -->

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

var x0 = new Float64Array( [ 2.0, 1.0, 2.0, 2.0, -2.0, 2.0, 3.0, 4.0 ] );
var x1 = new Float64Array( x0.buffer, x0.BYTES_PER_ELEMENT*1 ); // start at 2nd element

var N = floor( x0.length / 2 );

var v = mediansorted( N, x1, 2 );
// returns 2.0
```

#### mediansorted.ndarray( N, x, stride, offset )

Computes the median value of a sorted strided array using alternative indexing semantics.

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

var v = mediansorted.ndarray( x.length, x, 1, 0 );
// returns 2.0
```

The function has the following additional parameters:

-   **offset**: starting index for `x`.

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 calculate the median value for every other value in `x` starting from the second value

```javascript
var floor = require( '@stdlib/math-base-special-floor' );

var x = [ 2.0, 1.0, 2.0, 2.0, -2.0, 2.0, 3.0, 4.0 ];
var N = floor( x.length / 2 );

var v = mediansorted.ndarray( N, x, 2, 1 );
// returns 2.0
```

</section>

<!-- /.usage -->

<section class="notes">

## Notes

-   If `N <= 0`, both functions return `NaN`.
-   The input strided array must be sorted in either **strictly** ascending or descending order.

</section>

<!-- /.notes -->

<section class="examples">

## Examples

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

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

var x;
var i;

x = new Float64Array( 10 );
for ( i = 0; i < x.length; i++ ) {
    x[ i ] = i - 5.0;
}
console.log( x );

var v = mediansorted( x.length, x, 1 );
console.log( v );
```

</section>

<!-- /.examples -->

<!-- Section for related `stdlib` packages. Do not manually edit this section, as it is automatically populated. -->

<section class="related">

* * *

## See Also

-   <span class="package-name">[`@stdlib/stats-base/dmediansorted`][@stdlib/stats/base/dmediansorted]</span><span class="delimiter">: </span><span class="description">calculate the median value of a sorted double-precision floating-point strided array.</span>
-   <span class="package-name">[`@stdlib/stats-base/mean`][@stdlib/stats/base/mean]</span><span class="delimiter">: </span><span class="description">calculate the arithmetic mean of a strided array.</span>
-   <span class="package-name">[`@stdlib/stats-base/smediansorted`][@stdlib/stats/base/smediansorted]</span><span class="delimiter">: </span><span class="description">calculate the median value of a sorted single-precision floating-point strided array.</span>

</section>

<!-- /.related -->

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<section class="main-repo" >

* * *

## 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

Copyright &copy; 2016-2024. The Stdlib [Authors][stdlib-authors].

</section>

<!-- /.stdlib -->

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[npm-url]: https://npmjs.org/package/@stdlib/stats-base-mediansorted

[test-image]: https://github.com/stdlib-js/stats-base-mediansorted/actions/workflows/test.yml/badge.svg?branch=v0.2.2
[test-url]: https://github.com/stdlib-js/stats-base-mediansorted/actions/workflows/test.yml?query=branch:v0.2.2

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

[stdlib-license]: https://raw.githubusercontent.com/stdlib-js/stats-base-mediansorted/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

<!-- <related-links> -->

[@stdlib/stats/base/dmediansorted]: https://www.npmjs.com/package/@stdlib/stats-base-dmediansorted

[@stdlib/stats/base/mean]: https://www.npmjs.com/package/@stdlib/stats-base-mean

[@stdlib/stats/base/smediansorted]: https://www.npmjs.com/package/@stdlib/stats-base-smediansorted

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</section>

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