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178 changes: 178 additions & 0 deletions lib/node_modules/@stdlib/stats/incr/nanmmeanabs/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.

-->

# incrnanmmeanabs

> Compute a moving [arithmetic mean][arithmetic-mean] of absolute values incrementally, ignoring `NaN` values.

<section class="intro">

For a window of size `W`, the [arithmetic mean][arithmetic-mean] of absolute values is defined as

<!-- <equation class="equation" label="eq:arithmetic_mean_absolute_values" align="center" raw="\bar{x} = \frac{1}{W} \sum_{i=0}^{W-1} |x_i|" alt="Equation for the arithmetic mean of absolute values."> -->

```math
\bar{x} = \frac{1}{W} \sum_{i=0}^{W-1} |x_i|
```

<!-- <div class="equation" align="center" data-raw-text="\bar{x} = \frac{1}{W} \sum_{i=0}^{W-1} |x_i|" data-equation="eq:arithmetic_mean_absolute_values">
<img src="https://cdn.jsdelivr.net/gh/stdlib-js/stdlib@320a89534d4f59b82d162f31e968222555dae2f7/lib/node_modules/@stdlib/stats/incr/mmeanabs/docs/img/equation_arithmetic_mean_absolute_values.svg" alt="Equation for the arithmetic mean of absolute values.">
<br>
</div> -->

<!-- </equation> -->

</section>

<!-- /.intro -->

<section class="usage">

## Usage

```javascript
var incrnanmmeanabs = require( '@stdlib/stats/incr/nanmmeanabs' );
```

#### incrnanmmeanabs( window )

Returns an accumulator `function` which incrementally computes a moving [arithmetic mean][arithmetic-mean] of absolute values. The `window` parameter defines the number of values over which to compute the moving mean.

```javascript
var accumulator = incrnanmmeanabs( 3 );
```

#### accumulator( \[x] )

If provided an input value `x`, the accumulator function returns an updated mean. If not provided an input value `x`, the accumulator function returns the current mean.

```javascript
var accumulator = incrnanmmeanabs( 3 );

var mu = accumulator();
// returns null

// Fill the window...
mu = accumulator( 2.0 ); // [2.0]
// returns 2.0

mu = accumulator( -5.0 ); // [2.0, -5.0]
// returns 3.5

mu = accumulator( NaN); // [2.0, -5.0]
// returns 3.5

mu = accumulator( 3.0 ); // [2.0, -5.0, 3.0]
// returns ~3.33

mu = accumulator( 5.0 ); // [-5.0, 3.0, 5.0]
// returns ~4.33

mu = accumulator();
// returns ~4.33
```

</section>

<!-- /.usage -->

<section class="notes">

## Notes

- Input values are **not type-checked**. If a `NaN` or any non-numeric value is provided, the accumulator will ignore the `NaN` and return the current mean.
- When a `NaN` is encountered, the mean remains unchanged for **at least** the next `W-1` calls, where `W` is the window size.
- During the initial phase, when fewer than `W` values are available, the returned mean is calculated using the available values.


</section>

<!-- /.notes -->

<section class="examples">

## Examples

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

```javascript
var randu = require( '@stdlib/random/base/randu' );
var incrnanmmeanabs = require( '@stdlib/stats/incr/nanmmeanabs' );

var accumulator;
var mu;
var v;
var i;

// Initialize an accumulator:
accumulator = incrnanmmeanabs( 5 );

// For each simulated datum, update the moving mean...
console.log( '\nValue\tMean\n' );
for ( i = 0; i < 100; i++ ) {
if ( randu() < 0.2 ) {
v = NaN;
} else {
v = ( randu()*100.0 ) - 50.0;
}
mu = accumulator( v );
console.log( '%d\t%d', v.toFixed( 3 ), mu.toFixed( 3 ) );
}
```

</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/incr/meanabs`][@stdlib/stats/incr/meanabs]</span><span class="delimiter">: </span><span class="description">compute an arithmetic mean of absolute values incrementally.</span>
- <span class="package-name">[`@stdlib/stats/incr/mmean`][@stdlib/stats/incr/mmean]</span><span class="delimiter">: </span><span class="description">compute a moving arithmetic mean incrementally.</span>
- <span class="package-name">[`@stdlib/stats/incr/msumabs`][@stdlib/stats/incr/msumabs]</span><span class="delimiter">: </span><span class="description">compute a moving sum of absolute values incrementally.</span>

</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">

[arithmetic-mean]: https://en.wikipedia.org/wiki/Arithmetic_mean

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

[@stdlib/stats/incr/meanabs]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/stats/incr/meanabs

[@stdlib/stats/incr/mmean]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/stats/incr/mmean

[@stdlib/stats/incr/msumabs]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/stats/incr/msumabs

<!-- </related-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 randu = require( '@stdlib/random/base/randu' );
var pkg = require( './../package.json' ).name;
var incrnanmmeanabs = require( './../lib' );


// MAIN //

bench( pkg, function benchmark( b ) {
var f;
var i;
b.tic();
for ( i = 0; i < b.iterations; i++ ) {
f = incrnanmmeanabs( (i%5)+1 );
if ( typeof f !== 'function' ) {
b.fail( 'should return a function' );
}
}
b.toc();
if ( typeof f !== 'function' ) {
b.fail( 'should return a function' );
}
b.pass( 'benchmark finished' );
b.end();
});

bench( pkg+'::accumulator', function benchmark( b ) {
var acc;
var v;
var i;

acc = incrnanmmeanabs( 5 );

b.tic();
for ( i = 0; i < b.iterations; i++ ) {
v = acc( randu()-0.5 );
if ( v !== v ) {
b.fail( 'should not return NaN' );
}
}
b.toc();
if ( v !== v ) {
b.fail( 'should not return NaN' );
}
b.pass( 'benchmark finished' );
b.end();
});
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47 changes: 47 additions & 0 deletions lib/node_modules/@stdlib/stats/incr/nanmmeanabs/docs/repl.txt
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{{alias}}( W )
Returns an accumulator function which incrementally computes a moving
arithmetic mean of absolute values, ignoring `NaN` values.

The `W` parameter defines the number of values over which to compute the
moving mean.

If provided a value, the accumulator function returns an updated moving
mean. If not provided a value, the accumulator function returns the current
moving mean.

As `W` values are needed to fill the window buffer, the first `W-1` returned
values are calculated from smaller sample sizes. Until the window is full,
each returned value is calculated from all provided values.

Parameters
----------
W: integer
Window size.

Returns
-------
acc: Function
Accumulator function.

Examples
--------
> var accumulator = {{alias}}( 3 );
> var mu = accumulator()
null
> mu = accumulator( 2.0 )
2.0
> mu = accumulator( -5.0 )
3.5
> mu = accumulator( NaN )
3.5
> mu = accumulator( 3.0 )
~3.33
> mu = accumulator( 5.0 )
~4.33
> mu = accumulator()
~4.33

See Also
--------

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