149 lines
4.1 KiB
Markdown
149 lines
4.1 KiB
Markdown
|
<!--
|
||
|
|
||
|
@license Apache-2.0
|
||
|
|
||
|
Copyright (c) 2019 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.
|
||
|
|
||
|
-->
|
||
|
|
||
|
# itercusumabs
|
||
|
|
||
|
> Create an [iterator][mdn-iterator-protocol] which iteratively computes a cumulative sum of absolute values.
|
||
|
|
||
|
<section class="intro">
|
||
|
|
||
|
The cumulative sum of absolute values is defined as
|
||
|
|
||
|
<!-- <equation class="equation" label="eq:cumulative_sum_of_absolute_values" align="center" raw="\begin{align*} s_0 &= |x_0| \\ s_1 &= |x_1| + s_0 \\ s_2 &= |x_2| + s_1 \\ s_n &= |x_n| + s_{n-1} = |x_n| + \sum_{i=0}^{n-1} |x_i| \end{align*}" alt="Equation for the cumulative sum of absolute values."> -->
|
||
|
|
||
|
<div class="equation" align="center" data-raw-text="\begin{align*} s_0 &= |x_0| \\ s_1 &= |x_1| + s_0 \\ s_2 &= |x_2| + s_1 \\ s_n &= |x_n| + s_{n-1} = |x_n| + \sum_{i=0}^{n-1} |x_i| \end{align*}" data-equation="eq:cumulative_sum_of_absolute_values">
|
||
|
<img src="https://cdn.jsdelivr.net/gh/stdlib-js/stdlib@50c466d332769c6933f483bfb62fc4f701a8297b/lib/node_modules/@stdlib/stats/iter/cusumabs/docs/img/equation_cumulative_sum_of_absolute_values.svg" alt="Equation for the cumulative sum of absolute values.">
|
||
|
<br>
|
||
|
</div>
|
||
|
|
||
|
<!-- </equation> -->
|
||
|
|
||
|
</section>
|
||
|
|
||
|
<!-- /.intro -->
|
||
|
|
||
|
<!-- Package usage documentation. -->
|
||
|
|
||
|
<section class="usage">
|
||
|
|
||
|
## Usage
|
||
|
|
||
|
```javascript
|
||
|
var itercusumabs = require( '@stdlib/stats/iter/cusumabs' );
|
||
|
```
|
||
|
|
||
|
#### itercusumabs( iterator )
|
||
|
|
||
|
Returns an [iterator][mdn-iterator-protocol] which iteratively computes a cumulative sum of absolute values.
|
||
|
|
||
|
```javascript
|
||
|
var array2iterator = require( '@stdlib/array/to-iterator' );
|
||
|
|
||
|
var arr = array2iterator( [ 2.0, 1.0, 3.0, -7.0, -5.0 ] );
|
||
|
var it = itercusumabs( arr );
|
||
|
|
||
|
var s = it.next().value;
|
||
|
// returns 2.0
|
||
|
|
||
|
s = it.next().value;
|
||
|
// returns 3.0
|
||
|
|
||
|
s = it.next().value;
|
||
|
// returns 6.0
|
||
|
|
||
|
s = it.next().value;
|
||
|
// returns 13.0
|
||
|
|
||
|
s = it.next().value;
|
||
|
// returns 18.0
|
||
|
```
|
||
|
|
||
|
</section>
|
||
|
|
||
|
<!-- /.usage -->
|
||
|
|
||
|
<!-- Package usage notes. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
|
||
|
|
||
|
<section class="notes">
|
||
|
|
||
|
## Notes
|
||
|
|
||
|
- If an iterated value is non-numeric (including `NaN`), the function returns `NaN` for **all** future iterations. If non-numeric iterated values are possible, you are advised to provide an [`iterator`][mdn-iterator-protocol] which type checks and handles non-numeric values accordingly.
|
||
|
|
||
|
</section>
|
||
|
|
||
|
<!-- /.notes -->
|
||
|
|
||
|
<!-- Package usage examples. -->
|
||
|
|
||
|
<section class="examples">
|
||
|
|
||
|
## Examples
|
||
|
|
||
|
<!-- eslint no-undef: "error" -->
|
||
|
|
||
|
```javascript
|
||
|
var runif = require( '@stdlib/random/iter/uniform' );
|
||
|
var itercusumabs = require( '@stdlib/stats/iter/cusumabs' );
|
||
|
|
||
|
// Create an iterator for generating uniformly distributed pseudorandom numbers:
|
||
|
var rand = runif( -10.0, 10.0, {
|
||
|
'seed': 1234,
|
||
|
'iter': 100
|
||
|
});
|
||
|
|
||
|
// Create an iterator for iteratively computing a cumulative sum of absolute values:
|
||
|
var it = itercusumabs( rand );
|
||
|
|
||
|
// Perform manual iteration...
|
||
|
var v;
|
||
|
while ( true ) {
|
||
|
v = it.next();
|
||
|
if ( typeof v.value === 'number' ) {
|
||
|
console.log( 'sumabs: %d', v.value );
|
||
|
}
|
||
|
if ( v.done ) {
|
||
|
break;
|
||
|
}
|
||
|
}
|
||
|
```
|
||
|
|
||
|
</section>
|
||
|
|
||
|
<!-- /.examples -->
|
||
|
|
||
|
<!-- Section to include cited references. If references are included, add a horizontal rule *before* the section. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
|
||
|
|
||
|
<section class="references">
|
||
|
|
||
|
</section>
|
||
|
|
||
|
<!-- /.references -->
|
||
|
|
||
|
<!-- Section for all links. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
|
||
|
|
||
|
<section class="links">
|
||
|
|
||
|
[mdn-iterator-protocol]: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Iteration_protocols#The_iterator_protocol
|
||
|
|
||
|
</section>
|
||
|
|
||
|
<!-- /.links -->
|