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ndarray-index

ndarray index constructor.

https://github.com/stdlib-js/ndarray-index

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array constructor ctor data fancy index indexing javascript matrix multidimensional ndarray node node-js nodejs slice stdlib structure types vector
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ndarray index constructor.

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array constructor ctor data fancy index indexing javascript matrix multidimensional ndarray node node-js nodejs slice stdlib structure types vector
Created about 1 year ago · Last pushed about 1 year ago
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README.md

About stdlib...

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ndindex

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

ndarray index constructor.

In JavaScript, only strings and symbols are valid property names. When providing values for property names which are not strings or symbols, the values are serialized to strings **prior to** attempting to access property values. For example, the following ```javascript var array = require( '@stdlib/ndarray-array' ); var Int32Array = require( '@stdlib/array-int32' ); // Create an ndarray: var x = array( new Int32Array( [ 1, 2, 3, 4 ] ) ); // Define a list of indices for elements we want to retrieve from `x`: var y = [ 0, 2 ]; // Attempt to retrieve the desired elements: var v = x[ y ]; // => desired: [ 1, 3 ] // returns undefined ``` is equivalent to ```javascript var array = require( '@stdlib/ndarray-array' ); var Int32Array = require( '@stdlib/array-int32' ); var x = array( new Int32Array( [ 1, 2, 3, 4 ] ) ); var y = [ 0, 2 ]; var v = x[ y.toString() ]; // returns undefined // ...which is equivalent to: v = x[ '0,2' ]; // returns undefined ``` Accordingly, in order to circumvent built-in property access behavior and support non-traditional access patterns, one can leverage [`Proxy`][@stdlib/proxy/ctor] objects which allow one to intercept property access and to perform transformations before attempting to access elements in a target object. To support the access pattern shown in the example above, one can leverage built-in string serialization behavior to reconstruct the original property value provided prior to serialization. The `ndindex` constructor described below provides one such mechanism. Specifically, instantiated `ndindex` objects are assigned a unique identifier and stored in a local cache. When provided as property values to `ndindex` consumers, instantiated objects serialize to a string containing their unique identifier. `ndindex` consumers can then parse the serialized string to obtain the unique identifier and subsequently recover the original [ndarray][@stdlib/ndarray/ctor] from the local cache.
## Installation ```bash npm install @stdlib/ndarray-index ``` 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 ndindex = require( '@stdlib/ndarray-index' ); ``` #### ndindex( x\[, options] ) Wraps a provided [ndarray][@stdlib/ndarray/ctor] as an index object. ```javascript var array = require( '@stdlib/ndarray-array' ); var Int32Array = require( '@stdlib/array-int32' ); var x = array( new Int32Array( [ 1, 2, 3, 4 ] ) ); var idx = new ndindex( x ); // returns ``` The constructor accepts the following arguments: - **x**: input [ndarray][@stdlib/ndarray/ctor]. - **options**: function options. The constructor accepts the following options: - **kind**: specifies whether a provided [ndarray][@stdlib/ndarray/ctor] is a specialized kind of integer input [ndarray][@stdlib/ndarray/ctor]. This option is only applicable when `x` is an integer [ndarray][@stdlib/ndarray/ctor]. Must be one of the following: - **cartesian**: an [ndarray][@stdlib/ndarray/ctor] containing Cartesian indices. - **linear**: an [ndarray][@stdlib/ndarray/ctor] containing indices representing locations in linear memory. Default: `''`. - **persist**: boolean indicating whether to continue persisting an index object after first usage. Default: `false`. By default, an `ndindex` is invalidated and removed from an internal cache immediately after a consumer resolves the underlying data associated with an `ndindex` instance using the [`ndindex.get()`](#static-method-get) static method. Immediate invalidation and cache removal ensures that references to the underlying [ndarray][@stdlib/ndarray/ctor] data are not the source of memory leaks. One may, however, want to reuse an `ndindex` instance to avoid additional memory allocation. In order to persist an `ndindex` and prevent automatic cache invalidation, set the `persist` option to `true`. ```javascript var array = require( '@stdlib/ndarray-array' ); var Int32Array = require( '@stdlib/array-int32' ); var x = array( new Int32Array( [ 1, 2, 3, 4 ] ) ); var idx = new ndindex( x, { 'persist': true }); // returns // ... var o = ndindex.get( idx.id ); // returns {...} // ... o = ndindex.get( idx.id ); // returns {...} // ... // Explicitly free the index object: ndindex.free( idx.id ); ``` In order to **prevent** memory leaks when working with persisted `ndindex` instances, one **must** remember to manually free persisted instances using the [`ndindex.free()`](#static-method-free) method. * * * ### Properties #### ndindex.name String value of the `ndindex` constructor name. ```javascript var str = ndindex.name; // returns 'ndindex' ``` #### ndindex.prototype.data **Read-only** property returning an [ndarray][@stdlib/ndarray/ctor] view of the underlying [ndarray][@stdlib/ndarray/ctor] data associated with an `ndindex` instance. ```javascript var array = require( '@stdlib/ndarray-array' ); var Int32Array = require( '@stdlib/array-int32' ); var x = array( new Int32Array( [ 1, 2, 3, 4 ] ) ); var idx = new ndindex( x ); // returns var v = idx.data; // returns ``` #### ndindex.prototype.dtype **Read-only** property returning the [data type][@stdlib/ndarray/dtypes] of the underlying [ndarray][@stdlib/ndarray/ctor] associated with an `ndindex` instance. ```javascript var array = require( '@stdlib/ndarray-array' ); var Int32Array = require( '@stdlib/array-int32' ); var x = array( new Int32Array( [ 1, 2, 3, 4 ] ) ); var idx = new ndindex( x ); // returns var dt = idx.dtype; // returns 'int32' ``` #### ndindex.prototype.id **Read-only** property returning the unique identifier associated with an `ndindex` instance. ```javascript var array = require( '@stdlib/ndarray-array' ); var Int32Array = require( '@stdlib/array-int32' ); var x = array( new Int32Array( [ 1, 2, 3, 4 ] ) ); var idx = new ndindex( x ); // returns var id = idx.id; // returns ``` The identifier should be used by `ndindex` consumers to resolve the underlying data associated with an `ndindex` instance. #### ndindex.prototype.isCached **Read-only** property returning a boolean indicating whether an `ndindex` instance is actively cached. ```javascript var array = require( '@stdlib/ndarray-array' ); var Int32Array = require( '@stdlib/array-int32' ); var x = array( new Int32Array( [ 1, 2, 3, 4 ] ) ); var idx = new ndindex( x ); // returns var out = idx.isCached; // returns true ``` #### ndindex.prototype.kind **Read-only** property returning the [ndarray][@stdlib/ndarray/ctor] index kind. ```javascript var array = require( '@stdlib/ndarray-array' ); var Int32Array = require( '@stdlib/array-int32' ); var x = array( new Int32Array( [ 1, 2, 3, 4 ] ) ); var idx = new ndindex( x, { 'kind': 'linear' }); // returns var v = idx.kind; // returns 'linear' ``` The following [ndarray][@stdlib/ndarray/ctor] index kinds are supported: - **cartesian**: an ndarray index object containing Cartesian indices. - **linear**: an ndarray index object for indices representing locations in linear memory. #### ndindex.prototype.type **Read-only** property returning the [ndarray][@stdlib/ndarray/ctor] index type. ```javascript var array = require( '@stdlib/ndarray-array' ); var Int32Array = require( '@stdlib/array-int32' ); var x = array( new Int32Array( [ 1, 2, 3, 4 ] ) ); var idx = new ndindex( x ); // returns var t = idx.type; // returns 'int' ``` The following [ndarray][@stdlib/ndarray/ctor] index types are supported: - **mask**: mask [ndarray][@stdlib/ndarray/ctor], in which a value of zero indicates to include a respective element and a value of one indicates to exclude a respective element. A mask [ndarray][@stdlib/ndarray/ctor] is the complement of a boolean [ndarray][@stdlib/ndarray/ctor]. - **bool**: boolean [ndarray][@stdlib/ndarray/ctor], in which a value of `true` indicates to include a respective element and a value of `false` indicates to exclude a respective element. A boolean [ndarray][@stdlib/ndarray/ctor] is the complement of a mask [ndarray][@stdlib/ndarray/ctor]. - **int**: integer [ndarray][@stdlib/ndarray/ctor], in which each element is an index indicating the position of an element to include. Elements are **not** required to be unique (i.e., more than element may resolve to the same position). * * * ### Methods #### ndindex.free( id ) Frees the `ndindex` associated with a provided identifier. ```javascript var array = require( '@stdlib/ndarray-array' ); var Int32Array = require( '@stdlib/array-int32' ); var x = array( new Int32Array( [ 1, 2, 3, 4 ] ) ); var idx = new ndindex( x, { 'persist': true }); // returns // ... var out = ndindex.free( idx.id ); // returns true ``` Once an `ndindex` is freed, the instance is invalid and can no longer be used. Any subsequent `ndindex` operations (i.e., property and method access) will raise an exception. #### ndindex.get( id ) Returns the [ndarray][@stdlib/ndarray/ctor] associated with the `ndindex` having a provided identifier. ```javascript var array = require( '@stdlib/ndarray-array' ); var Int32Array = require( '@stdlib/array-int32' ); var x = array( new Int32Array( [ 1, 2, 3, 4 ] ) ); var idx = new ndindex( x, { 'persist': true }); // returns // ... var o = ndindex.get( idx.id ); // returns {...} var d = o.data; // returns var t = o.type; // returns 'int' var dt = o.dtype; // returns 'int32' ``` The returned object has the following properties: - **data**: the underlying "base" [ndarray][@stdlib/ndarray/base/ctor] view associated with the `ndindex` identified by the provided `id`. - **type**: the type of [ndarray][@stdlib/ndarray/ctor] index. One of the following: `'int'`, `'bool'`, or `'mask'`. - **kind**: the [ndarray][@stdlib/ndarray/ctor] index "kind". One of the following: `''`, `'cartesian'`, or `'linear'`. - **dtype**: the data type of the underlying [ndarray][@stdlib/ndarray/ctor]. If the `ndindex` associated with a provided identifier was not explicitly persisted, calling this method will cause the `ndindex` to be invalidated and removed from an internal cache. Any subsequent instance operations (i.e., property and method access) will raise an exception. #### ndindex.cartesianIndex( x\[, options] ) Wraps a provided [ndarray][@stdlib/ndarray/ctor] as a Cartesian index object. ```javascript var array = require( '@stdlib/ndarray-array' ); var Int32Array = require( '@stdlib/array-int32' ); var x = array( new Int32Array( [ 1, 2, 3, 4 ] ), { 'shape': [ 2, 2 ] }); var idx = ndindex.cartesianIndex( x ); // returns ``` This method is a convenience method for creating an `ndindex` with the `kind` option set to `'cartesian'`. The function accepts the same arguments and options as `ndindex` above. #### ndindex.linearIndex( x\[, options] ) Wraps a provided [ndarray][@stdlib/ndarray/ctor] as a linear index object. ```javascript var array = require( '@stdlib/ndarray-array' ); var Int32Array = require( '@stdlib/array-int32' ); var x = array( new Int32Array( [ 1, 2, 3, 4 ] ) ); var idx = ndindex.linearIndex( x ); // returns ``` This method is a convenience method for creating an `ndindex` with the `kind` option set to `'linear'`. The function accepts the same arguments and options as `ndindex` above. #### ndindex.prototype.toString() Serializes an `ndindex` as a string. ```javascript var array = require( '@stdlib/ndarray-array' ); var Int32Array = require( '@stdlib/array-int32' ); var x = array( new Int32Array( [ 1, 2, 3, 4 ] ) ); var idx = new ndindex( x ); // returns var str = idx.toString(); // e.g., 'ndindex<0>' ``` An `ndindex` is intended to be an opaque object used by objects supporting "fancy" indexing (e.g., [fancy ndarrays][@stdlib/ndarray/to-fancy]). As such, when serialized as a string, a serialized `ndindex` includes only the unique identifier associated with the respective instance. #### ndindex.prototype.toJSON() Serializes an `ndindex` as a [JSON][json] object. ```javascript var array = require( '@stdlib/ndarray-array' ); var Int32Array = require( '@stdlib/array-int32' ); var x = array( new Int32Array( [ 1, 2, 3, 4 ] ) ); var idx = new ndindex( x ); // returns var o = idx.toJSON(); // returns { 'type': 'ndindex', 'kind': '', 'data': { ... } } ``` `JSON.stringify()` implicitly calls this method when stringifying an `ndindex` instance.
## Notes - `ndindex` instances have no explicit functionality; however, they are used by ["fancy" ndarrays][@stdlib/ndarray/to-fancy] and other packages for element retrieval and assignment. - Because `ndindex` instances leverage an internal cache implementing the **singleton pattern**, one **must** be sure to use the same `ndindex` constructor as `ndindex` consumers. If one uses a different `ndindex` constructor, the consumer will **not** be able to resolve an [ndarray][@stdlib/ndarray/base/ctor] view of the original [ndarray][@stdlib/ndarray/ctor], as the consumer will attempt to resolve an `ndindex` instance in the wrong internal cache. - Because non-persisted `ndindex` instances are freed after first use, in order to avoid holding onto memory and to allow garbage collection, one should avoid scenarios in which an `ndindex` is never used. For example, ```javascript var array = require( '@stdlib/ndarray-array' ); var Int32Array = require( '@stdlib/array-int32' ); var x = array( new Int32Array( [ 1, 2, 3, 4 ] ) ); var idx = new ndindex( x ); var o; if ( x.get( 0 ) === 0 ) { // Do something with `idx`... o = ndindex.get( idx.id ); // ... } ``` will leak memory as `idx` is only consumed within an `if` block which never evaluates. In such scenarios, one should either refactor to avoid inadvertently holding onto memory or explicitly free the `ndindex`. ```javascript var array = require( '@stdlib/ndarray-array' ); var Int32Array = require( '@stdlib/array-int32' ); var x = array( new Int32Array( [ 1, 2, 3, 4 ] ) ); var idx = new ndindex( x ); var o; if ( x.get( 0 ) === 0 ) { // Do something with `idx`... o = ndindex.get( idx.id ); // ... } else { ndindex.free( idx.id ); } ```
## Examples ```javascript var empty = require( '@stdlib/ndarray-empty' ); var ndindex = require( '@stdlib/ndarray-index' ); var x = empty( [ 5 ], { 'dtype': 'uint8' }); var i = new ndindex( x ); // returns var o = ndindex.get( i.id ); // returns {...} console.log( 'Type: %s. Data type: %s.', o.type, o.dtype ); x = empty( [ 5 ], { 'dtype': 'generic' }); i = new ndindex( x ); // returns o = ndindex.get( i.id ); // returns {...} console.log( 'Type: %s. Data type: %s.', o.type, o.dtype ); x = empty( [ 5 ], { 'dtype': 'bool' }); i = new ndindex( x ); // returns o = ndindex.get( i.id ); // returns {...} console.log( 'Type: %s. Data type: %s.', o.type, o.dtype ); x = empty( [ 5 ], { 'dtype': 'int32' }); i = new ndindex( x ); // returns o = ndindex.get( i.id ); // returns {...} console.log( 'Type: %s. Data type: %s.', o.type, o.dtype ); ```
* * * ## See Also - [`@stdlib/ndarray-array`][@stdlib/ndarray/array]: multidimensional arrays. - [`@stdlib/ndarray-ctor`][@stdlib/ndarray/ctor]: multidimensional array constructor. - [`@stdlib/ndarray-fancy`][@stdlib/ndarray/fancy]: fancy multidimensional array constructor. - [`@stdlib/ndarray-slice`][@stdlib/ndarray/slice]: return a read-only view of an input ndarray. - [`@stdlib/ndarray-to-fancy`][@stdlib/ndarray/to-fancy]: convert an ndarray to an object supporting fancy indexing.
* * * ## 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.

Citation (CITATION.cff) 

cff-version: 1.2.0
title: stdlib
message: >-
  If you use this software, please cite it using the
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authors:
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    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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