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@stdlib/ndarray-base-nullary-loop-interchange-order

Reorder ndarray dimensions and associated strides for loop interchange.

https://github.com/stdlib-js/ndarray-base-nullary-loop-interchange-order

Science Score: 44.0%

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Keywords

array base blocking cache-oblivious interchange javascript loop multidimensional ndarray node node-js nodejs optimization reorder sort stdlib tiling types utilities utility
Last synced: 4 months ago · JSON representation ·

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Reorder ndarray dimensions and associated strides for loop interchange.

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Topics
array base blocking cache-oblivious interchange javascript loop multidimensional ndarray node node-js nodejs optimization reorder sort stdlib tiling types utilities utility
Created almost 3 years ago · Last pushed 5 months ago
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README.md

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nullaryLoopOrder

NPM version Build Status Coverage Status <!-- dependencies -->

Reorder ndarray dimensions and associated strides for loop interchange.

## Installation ```bash npm install @stdlib/ndarray-base-nullary-loop-interchange-order ``` Alternatively, - To load the package in a website via a `script` tag without installation and bundlers, use the [ES Module][es-module] available on the [`esm`][esm-url] branch (see [README][esm-readme]). - If you are using Deno, visit the [`deno`][deno-url] branch (see [README][deno-readme] for usage intructions). - For use in Observable, or in browser/node environments, use the [Universal Module Definition (UMD)][umd] build available on the [`umd`][umd-url] branch (see [README][umd-readme]). The [branches.md][branches-url] 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 ```javascript var nullaryLoopOrder = require( '@stdlib/ndarray-base-nullary-loop-interchange-order' ); ``` #### nullaryLoopOrder( shape, stridesX ) Reorders [ndarray][@stdlib/ndarray/ctor] dimensions and associated strides for [loop interchange][loop-interchange]. ```javascript // Define an array shape: var shape = [ 2, 2 ]; // Define array strides: var stridesX = [ 2, 1 ]; // row-major // Resolve the loop interchange order: var o = nullaryLoopOrder( shape, stridesX ); // returns {...} ``` The function returns an object having the following properties: - **sh**: ordered dimensions. - **sx**: array strides sorted in loop order. - **idx**: dimension indices sorted in loop order. For all returned arrays, the first element corresponds to the innermost loop, and the last element corresponds to the outermost loop.
## Notes - When iterating over the elements of a multi-dimensional array, accessing elements which are closer in memory can improve performance. To this end, [loop interchange][loop-interchange] is a technique used in [loop nest optimization][loop-nest-optimization] to improve locality of reference and take advantage of CPU cache. The purpose of this function is to order [ndarray][@stdlib/ndarray/ctor] dimensions according to the magnitude of array strides. By using the ordered dimensions and associated strides, one can construct nested loops (one for each dimension) such that the innermost loop iterates over the dimension in which array elements are closest in memory and the outermost loop iterates over the dimension in which array elements are farthest apart in memory. As a consequence, element iteration is optimized to minimize cache misses and ensure locality of reference.
## Examples ```javascript var array = require( '@stdlib/ndarray-array' ); var loopOrder = require( '@stdlib/ndarray-base-nullary-loop-interchange-order' ); // Create an ndarray: var x = array( [ [ 1, 2 ], [ 3, 4 ] ] ); // Resolve loop interchange data: var o = loopOrder( x.shape, x.strides ); // returns {...} console.log( o ); ```
* * * ## Notice This package is part of [stdlib][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][stdlib], see the main project [repository][stdlib]. #### Community [![Chat][chat-image]][chat-url] --- ## License See [LICENSE][stdlib-license]. ## Copyright Copyright © 2016-2025. The Stdlib [Authors][stdlib-authors].

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Standard library for JavaScript.

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cff-version: 1.2.0
title: stdlib
message: >-
  If you use this software, please cite it using the
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authors:
  - name: The Stdlib Authors
    url: https://github.com/stdlib-js/stdlib/graphs/contributors

repository-code: https://github.com/stdlib-js/stdlib
url: https://stdlib.io

abstract: |
  Standard library for JavaScript and Node.js.

keywords:
  - JavaScript
  - Node.js
  - TypeScript
  - standard library
  - scientific computing
  - numerical computing
  - statistical computing

license: Apache-2.0 AND BSL-1.0

date-released: 2016

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npmjs.org: @stdlib/ndarray-base-nullary-loop-interchange-order

Reorder ndarray dimensions and associated strides for loop interchange.

  • Homepage: https://stdlib.io
  • License: Apache-2.0
  • Latest release: 0.2.2
    published over 1 year ago
  • Versions: 5
  • Dependent Packages: 2
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  • Downloads: 241 Last month
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planeshifter rreusser stdlib-bot kgryte
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