npm package: @stdlib/stats-strided-midrange-by
Description: Calculate the mid-range of a strided array via a callback function.
Author: The Stdlib Authors
Latest version: 0.1.1

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# midrangeBy

[![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 [mid-range][mid-range] of a strided array via a callback function.

<section class="intro">

The [**mid-range**][mid-range], or **mid-extreme**, is the arithmetic mean of the maximum and minimum values in a data set. The measure is the midpoint of the range and a measure of central tendency.

</section>

<!-- /.intro -->

<section class="installation">

## Installation

```bash
npm install @stdlib/stats-strided-midrange-by
```

</section>

<section class="usage">

## Usage

```javascript
var midrangeBy = require( '@stdlib/stats-strided-midrange-by' );
```

#### midrangeBy( N, x, strideX, clbk\[, thisArg] )

Computes the [mid-range][mid-range] of a strided array via a callback function.

```javascript
function accessor( v ) {
    return v * 2.0;
}

var x = [ -2.0, 1.0, 3.0, -5.0, 4.0, 0.0, -1.0, -3.0 ];

var v = midrangeBy( x.length, x, 1, accessor );
// returns -1.0
```

The function has the following parameters:

-   **N**: number of indexed elements.
-   **x**: input [`Array`][mdn-array], [`typed array`][mdn-typed-array], or an array-like object (excluding strings and functions).
-   **strideX**: stride length.
-   **clbk**: callback function.
-   **thisArg**: execution context (_optional_).

The invoked callback is provided four arguments:

-   **value**: array element.
-   **aidx**: array index.
-   **sidx**: strided index (`offset + aidx*stride`).
-   **array**: input array/collection.

To set the callback execution context, provide a `thisArg`.

```javascript
function accessor( v ) {
    this.count += 1;
    return v * 2.0;
}

var x = [ -2.0, 1.0, 3.0, -5.0, 4.0, 0.0, -1.0, -3.0 ];

var context = {
    'count': 0
};

var v = midrangeBy( x.length, x, 1, accessor, context );
// returns -1.0

var cnt = context.count;
// returns 8
```

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

```javascript
function accessor( v ) {
    return v * 2.0;
}

var x = [ -2.0, 1.0, 3.0, -5.0, 4.0, 0.0, -1.0, -3.0 ];

var v = midrangeBy( 4, x, 2, accessor );
// returns 2.0
```

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' );

function accessor( v ) {
    return v * 2.0;
}

// Initial array...
var x0 = new Float64Array( [ 1.0, -2.0, 3.0, -4.0, 5.0, -6.0 ] );

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

// Access every other element...
var v = midrangeBy( 3, x1, 2, accessor );
// returns -8.0
```

#### midrangeBy.ndarray( N, x, strideX, offsetX, clbk\[, thisArg] )

Computes the [mid-range][mid-range] of a strided array via a callback function and using alternative indexing semantics.

```javascript
function accessor( v ) {
    return v * 2.0;
}

var x = [ -2.0, 1.0, 3.0, -5.0, 4.0, 0.0, -1.0, -3.0 ];

var v = midrangeBy.ndarray( x.length, x, 1, 0, accessor );
// returns -1.0
```

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 of `x`

```javascript
function accessor( v ) {
    return v * 2.0;
}

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

var v = midrangeBy.ndarray( 3, x, 1, x.length-3, accessor );
// returns -1.0
```

</section>

<!-- /.usage -->

<section class="notes">

## Notes

-   If `N <= 0`, both functions return `NaN`.
-   A provided callback function should return a numeric value.
-   If a provided callback function does not return any value (or equivalently, explicitly returns `undefined`), the value is **ignored**.
-   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]).
-   When possible, prefer using [`dmidrange`][@stdlib/stats/strided/dmidrange], [`smidrange`][@stdlib/stats/strided/smidrange], and/or [`midrange`][@stdlib/stats/strided/midrange], as, depending on the environment, these interfaces are likely to be significantly more performant.

</section>

<!-- /.notes -->

<section class="examples">

## Examples

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

```javascript
var discreteUniform = require( '@stdlib/random-array-discrete-uniform' );
var midrangeBy = require( '@stdlib/stats-strided-midrange-by' );

function accessor( v ) {
    return v * 2.0;
}

var x = discreteUniform( 10, -50, 50, {
    'dtype': 'float64'
});
console.log( x );

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

</section>

<!-- /.examples -->

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

<section class="related">

</section>

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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; 2016-2026. The Stdlib [Authors][stdlib-authors].

</section>

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

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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-strided-midrange-by/tree/deno
[deno-readme]: https://github.com/stdlib-js/stats-strided-midrange-by/blob/deno/README.md
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[stdlib-license]: https://raw.githubusercontent.com/stdlib-js/stats-strided-midrange-by/main/LICENSE

[mid-range]: https://en.wikipedia.org/wiki/Mid-range

[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://www.npmjs.com/package/@stdlib/array-base-accessor

[@stdlib/stats/strided/midrange]: https://www.npmjs.com/package/@stdlib/stats-strided-midrange

[@stdlib/stats/strided/dmidrange]: https://www.npmjs.com/package/@stdlib/stats-strided-dmidrange

[@stdlib/stats/strided/smidrange]: https://www.npmjs.com/package/@stdlib/stats-strided-smidrange

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