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feat: add stats/incr/nanmsumabs #6018

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155 changes: 155 additions & 0 deletions lib/node_modules/@stdlib/stats/incr/nanmsumabs/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.

-->

# incrnanmsumabs

> Compute a moving sum of absolute values incrementally, ignoring `NaN` values.

<section class="intro">

For a window of size `W`, the moving sum of absolute values is defined as

<!-- <equation class="equation" label="eq:moving_sum_absolute_values" align="center" raw="s = \sum_{i=0}^{W-1} |x_i|" alt="Equation for the moving sum of absolute values."> -->

```math
s = \sum_{i=0}^{W-1} |x_i|
```

<!-- <div class="equation" align="center" data-raw-text="s = \sum_{i=0}^{W-1} |x_i|" data-equation="eq:moving_sum_absolute_values">
<img src="https://cdn.jsdelivr.net/gh/stdlib-js/stdlib@49d8cabda84033d55d7b8069f19ee3dd8b8d1496/lib/node_modules/@stdlib/stats/incr/nanmsumabs/docs/img/equation_moving_sum_absolute_values.svg" alt="Equation for the moving sum of absolute values.">
<br>
</div> -->

<!-- </equation> -->

</section>

<!-- /.intro -->

<section class="usage">

## Usage

```javascript
var incrnanmsumabs = require( '@stdlib/stats/incr/nanmsumabs' );
```

#### incrnanmsumabs( window )

Returns an accumulator `function` which incrementally computes a moving sum of absolute values. The `window` parameter defines the number of values over which to compute the moving sum, ignoring `NaN` values.

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

#### accumulator( \[x] )

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

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

var sum = accumulator();
// returns null

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

sum = accumulator( NaN ); // [2.0]
// returns 2.0

sum = accumulator( -1.0 ); // [2.0, -1.0]
// returns 3.0

sum = accumulator( 3.0 ); // [2.0, -1.0, 3.0]
// returns 6.0

// Window begins sliding...
sum = accumulator( -7.0 ); // [-1.0, 3.0, -7.0]
// returns 11.0

sum = accumulator( -5.0 ); // [3.0, -7.0, -5.0]
// returns 15.0

sum = accumulator();
// returns 15.0
```

</section>

<!-- /.usage -->

<section class="notes">

## Notes

- Input values are **not** type checked. If non-numeric inputs are possible, you are advised to type check and handle accordingly **before** passing the value to the accumulator function.
- 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.

</section>

<!-- /.notes -->

<section class="examples">

## Examples

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

```javascript
var bernoulli = require( '@stdlib/random/base/bernoulli' );
var uniform = require( '@stdlib/random/base/uniform' );
var incrnanmsumabs = require( '@stdlib/stats/incr/nanmsumabs' );

var accumulator;
var v;
var i;

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

// For each simulated datum, update the moving sum...
for ( i = 0; i < 100; i++ ) {
v = ( bernoulli( 0.8 ) < 1 ) ? NaN : uniform( -50.0, 50.0 );
accumulator( v );
}
console.log( accumulator() );
```

</section>

<!-- /.examples -->

<!-- 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">

</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 incrnanmsumabs = require( './../lib' );


// MAIN //

bench( pkg, function benchmark( b ) {
var f;
var i;
b.tic();
for ( i = 0; i < b.iterations; i++ ) {
f = incrnanmsumabs( (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 = incrnanmsumabs( 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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46 changes: 46 additions & 0 deletions lib/node_modules/@stdlib/stats/incr/nanmsumabs/docs/repl.txt
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{{alias}}( W )
Returns an accumulator function which incrementally computes a moving sum of
absolute values, ignoring `NaN` values.

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

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

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 s = accumulator()
null
> s = accumulator( 2.0 )
2.0
> s = accumulator( NaN )
2.0
> s = accumulator( -5.0 )
7.0
> s = accumulator( 3.0 )
10.0
> s = accumulator( -5.0 )
13.0
> s = accumulator()
13.0

See Also
--------
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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.
*/

// TypeScript Version: 4.1

/// <reference types="@stdlib/types"/>

/**
* If provided a value, returns an updated sum of absolute values; otherwise, returns the current sum of absolute values.
*
* @param x - value
* @returns sum of absolute values
*/
type accumulator = ( x?: number ) => number | null;

/**
* Returns an accumulator function which incrementally computes a moving sum of absolute values, ignoring `NaN` values.
*
* @param W - window size
* @throws must provide a positive integer
* @returns accumulator function
*
* @example
* var accumulator = incrnanmsumabs( 3 );
*
* var sum = accumulator();
* // returns null
*
* sum = accumulator( 2.0 );
* // returns 2.0
*
* sum = accumulator( NaN );
* // returns 2.0
*
* sum = accumulator( -5.0 );
* // returns 7.0
*
* sum = accumulator( 3.0 );
* // returns 10.0
*
* sum = accumulator( 5.0 );
* // returns 13.0
*
* sum = accumulator();
* // returns 13.0
*/
declare function incrnanmsumabs( W: number ): accumulator;


// EXPORTS //

export = incrnanmsumabs;
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