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itercusumabs

Create an iterator which iteratively computes a cumulative sum of absolute values.

The cumulative sum of absolute values is defined as

$$\begin{align*} s_0 &= |x_0| \\ s_1 &= |x_1| + s_0 \\ s_2 &= |x_2| + s_1 \\ s_n &= |x_n| + s_{n-1} = |x_n| + \sum_{i=0}^{n-1} |x_i| \end{align*}$$

Installation

npm install @stdlib/stats-iter-cusumabs

Alternatively,

• To load the package in a website via a script tag without installation and bundlers, use the ES Module available on the esm branch (see README).
• If you are using Deno, visit the deno branch (see README for usage intructions).
• For use in Observable, or in browser/node environments, use the Universal Module Definition (UMD) build available on the umd branch (see README).

The branches.md file summarizes the available branches and displays a diagram illustrating their relationships.

To view installation and usage instructions specific to each branch build, be sure to explicitly navigate to the respective README files on each branch, as linked to above.

Usage

var itercusumabs = require( '@stdlib/stats-iter-cusumabs' );

itercusumabs( iterator )

Returns an iterator which iteratively computes a cumulative sum of absolute values.

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

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 which type checks and handles non-numeric values accordingly.

Examples

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;
    }
}

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See Also

• @stdlib/stats-iter/cumeanabs: create an iterator which iteratively computes a cumulative arithmetic mean of absolute values.
• @stdlib/stats-iter/cusum: create an iterator which iteratively computes a cumulative sum.
• @stdlib/stats-iter/sumabs: compute the sum of absolute values for all iterated values.

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Notice

This package is part of 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, see the main project repository.

Community

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License

See LICENSE.

Copyright

Copyright © 2016-2024. The Stdlib Authors.