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328 changes: 328 additions & 0 deletions lib/node_modules/@stdlib/stats/strided/smskmidrange/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.

-->

# smskmidrange

> Calculate the [mid-range][mid-range] of a single-precision floating-point strided array according to a mask.

<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="usage">

## Usage

```javascript
var smskmidrange = require( '@stdlib/stats/strided/smskmidrange' );
```

#### smskmidrange( N, x, strideX, mask, strideMask )

Computes the [mid-range][mid-range] of a single-precision floating-point strided array according to a mask.

```javascript
var Float32Array = require( '@stdlib/array/float32' );
var Uint8Array = require( '@stdlib/array/uint8' );

var x = new Float32Array( [ 1.0, -2.0, 4.0, 2.0 ] );
var mask = new Uint8Array( [ 0, 0, 1, 0 ] );

var v = smskmidrange( x.length, x, 1, mask, 1 );
// returns 0.0
```

The function has the following parameters:

- **N**: number of indexed elements.
- **x**: input [`Float32Array`][@stdlib/array/float32].
- **strideX**: stride length for `x`.
- **mask**: mask [`Uint8Array`][@stdlib/array/uint8]. If a `mask` array element is `0`, the corresponding element in `x` is considered valid and **included** in computation. If a `mask` array element is `1`, the corresponding element in `x` is considered invalid/missing and **excluded** from computation.
- **strideMask**: stride length for `mask`.

The `N` and stride parameters determine which elements in the strided arrays are accessed at runtime. For example, to compute the [mid-range][mid-range] of every other element in `x`,

```javascript
var Float32Array = require( '@stdlib/array/float32' );
var Uint8Array = require( '@stdlib/array/uint8' );

var x = new Float32Array( [ 1.0, 2.0, -7.0, -2.0, 4.0, 3.0, 5.0, 6.0 ] );
var mask = new Uint8Array( [ 0, 0, 0, 0, 0, 0, 1, 1 ] );

var v = smskmidrange( 4, x, 2, mask, 2 );
// returns -1.5
```

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

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

```javascript
var Float32Array = require( '@stdlib/array/float32' );
var Uint8Array = require( '@stdlib/array/uint8' );

var x0 = new Float32Array( [ 2.0, 1.0, -2.0, -2.0, 3.0, 4.0, 5.0, 6.0 ] );
var x1 = new Float32Array( x0.buffer, x0.BYTES_PER_ELEMENT*1 ); // start at 2nd element

var mask0 = new Uint8Array( [ 0, 0, 0, 0, 0, 0, 1, 1 ] );
var mask1 = new Uint8Array( mask0.buffer, mask0.BYTES_PER_ELEMENT*1 ); // start at 2nd element

var v = smskmidrange( 4, x1, 2, mask1, 2 );
// returns 1.0
```

#### smskmidrange.ndarray( N, x, strideX, offsetX, mask, strideMask, offsetMask )

Computes the [mid-range][mid-range] of a single-precision floating-point strided array according to a mask and using alternative indexing semantics.

```javascript
var Float32Array = require( '@stdlib/array/float32' );
var Uint8Array = require( '@stdlib/array/uint8' );

var x = new Float32Array( [ 1.0, -2.0, 4.0, 2.0 ] );
var mask = new Uint8Array( [ 0, 0, 1, 0 ] );

var v = smskmidrange.ndarray( x.length, x, 1, 0, mask, 1, 0 );
// returns 0.0
```

The function has the following additional parameters:

- **offsetX**: starting index for `x`.
- **offsetMask**: starting index for `mask`.

While [`typed array`][mdn-typed-array] views mandate a view offset based on the underlying buffer, the offset parameters support indexing semantics based on starting indices. For example, to calculate the [mid-range][mid-range] for every other element in `x` starting from the second element

```javascript
var Float32Array = require( '@stdlib/array/float32' );
var Uint8Array = require( '@stdlib/array/uint8' );

var x = new Float32Array( [ 2.0, 1.0, -2.0, -2.0, 3.0, 4.0, 5.0, 6.0 ] );
var mask = new Uint8Array( [ 0, 0, 0, 0, 0, 0, 1, 1 ] );

var v = smskmidrange.ndarray( 4, x, 2, 1, mask, 2, 1 );
// returns 1.0
```

</section>

<!-- /.usage -->

<section class="notes">

## Notes

- If `N <= 0`, both functions return `NaN`.

</section>

<!-- /.notes -->

<section class="examples">

## Examples

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

```javascript
var uniform = require( '@stdlib/random/array/uniform' );
var bernoulli = require( '@stdlib/random/array/bernoulli' );
var smskmidrange = require( '@stdlib/stats/strided/smskmidrange' );

var x = uniform( 10, -50.0, 50.0, {
'dtype': 'float32'
});
console.log( x );

var mask = bernoulli( x.length, 0.2, {
'dtype': 'uint8'
});
console.log( mask );

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

</section>

<!-- /.examples -->

<!-- C interface documentation. -->

* * *

<section class="c">

## C APIs

<!-- Section to include introductory text. Make sure to keep an empty line after the intro `section` element and another before the `/section` close. -->

<section class="intro">

</section>

<!-- /.intro -->

<!-- C usage documentation. -->

<section class="usage">

### Usage

```c
#include "stdlib/stats/strided/smskmidrange.h"
```

#### stdlib_strided_smskmidrange( N, \*X, strideX, \*Mask, strideMask )

Computes the [mid-range][mid-range] of a single-precision floating-point strided array according to a mask.

```c
#include <stdint.h>

const float x[] = { 1.0f, -2.0f, 2.0f };
const uint8_t mask[] = { 0, 1, 0 };

float v = stdlib_strided_smskmidrange( 3, x, 1, mask, 1 );
// returns 1.5f
```

The function accepts the following arguments:

- **N**: `[in] CBLAS_INT` number of indexed elements.
- **X**: `[in] float*` input array.
- **strideX**: `[in] CBLAS_INT` stride length for `X`.
- **Mask**: `[in] uint8_t*` mask array. If a `Mask` array element is `0`, the corresponding element in `X` is considered valid and included in computation. If a `Mask` array element is `1`, the corresponding element in `X` is considered invalid/missing and excluded from computation.
- **strideMask**: `[in] CBLAS_INT` stride length for `Mask`.

```c
float stdlib_strided_smskmidrange( const CBLAS_INT N, const float *X, const CBLAS_INT strideX, const uint8_t *Mask, const CBLAS_INT strideMask );
```

<!-- lint disable maximum-heading-length -->

#### stdlib_strided_smskmidrange_ndarray( N, \*X, strideX, offsetX, \*Mask, strideMask, offsetMask )

Computes the [mid-range][mid-range] of a single-precision floating-point strided array according to a mask and using alternative indexing semantics.

```c
#include <stdint.h>

const float x[] = { 1.0f, -2.0f, 2.0f };
const uint8_t mask[] = { 0, 1, 0 };

float v = stdlib_strided_smskmidrange_ndarray( 3, x, 1, 0, mask, 1, 0 );
// returns 1.5f
```

The function accepts the following arguments:

- **N**: `[in] CBLAS_INT` number of indexed elements.
- **X**: `[in] float*` input array.
- **strideX**: `[in] CBLAS_INT` stride length for `X`.
- **offsetX**: `[in] CBLAS_INT` starting index for `X`.
- **Mask**: `[in] uint8_t*` mask array. If a `Mask` array element is `0`, the corresponding element in `X` is considered valid and included in computation. If a `Mask` array element is `1`, the corresponding element in `X` is considered invalid/missing and excluded from computation.
- **strideMask**: `[in] CBLAS_INT` stride length for `Mask`.
- **offsetMask**: `[in] CBLAS_INT` starting index for `Mask`.

```c
float stdlib_strided_smskmidrange_ndarray( const CBLAS_INT N, const float *X, const CBLAS_INT strideX, const CBLAS_INT offsetX, const uint8_t *Mask, const CBLAS_INT strideMask, const CBLAS_INT offsetMask );
```

</section>

<!-- /.usage -->

<!-- C API usage notes. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->

<section class="notes">

</section>

<!-- /.notes -->

<!-- C API usage examples. -->

<section class="examples">

### Examples

```c
#include "stdlib/stats/strided/smskmidrange.h"
#include <stdint.h>
#include <stdio.h>

int main( void ) {
// Create a strided array:
const float x[] = { 1.0f, 2.0f, 3.0f, 4.0f, 5.0f, 6.0f, 7.0f, 8.0f, 9.0f, 10.0f };

// Create a mask array:
const uint8_t mask[] = { 0, 0, 0, 0, 0, 0, 0, 0, 1, 1 };

// Specify the number of elements:
const int N = 5;

// Specify the stride lengths:
const int strideX = 2;
const int strideMask = 2;

// Compute the mid-range:
float v = stdlib_strided_smskmidrange( N, x, strideX, mask, strideMask );

// Print the result:
printf( "mid-range: %f\n", v );
}
```

</section>

<!-- /.examples -->

</section>

<!-- /.c -->

<!-- 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">

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

[@stdlib/array/float32]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/array/float32

[@stdlib/array/uint8]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/array/uint8

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

</section>

<!-- /.links -->
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