项目作者: stdlib-js

项目描述 :
Simultaneously sort two strided arrays based on the sort order of the first array using heapsort.
高级语言: JavaScript
项目地址: git://github.com/stdlib-js/blas-ext-base-gsort2hp.git
创建时间: 2021-06-14T16:40:54Z
项目社区:https://github.com/stdlib-js/blas-ext-base-gsort2hp

开源协议:Apache License 2.0

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gsort2hp

[![NPM version][npm-image]][npm-url] [![Build Status][test-image]][test-url] [![Coverage Status][coverage-image]][coverage-url]

Simultaneously sort two strided arrays based on the sort order of the first array using heapsort.



## Installation

bash npm install @stdlib/blas-ext-base-gsort2hp

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 gsort2hp = require( '@stdlib/blas-ext-base-gsort2hp' );

#### gsort2hp( N, order, x, strideX, y, strideY )

Simultaneously sorts two strided arrays based on the sort order of the first array using heapsort.

javascript var x = [ 1.0, -2.0, 3.0, -4.0 ]; var y = [ 0.0, 1.0, 2.0, 3.0 ]; gsort2hp( x.length, 1.0, x, 1, y, 1 ); console.log( x ); // => [ -4.0, -2.0, 1.0, 3.0 ] console.log( y ); // => [ 3.0, 1.0, 0.0, 2.0 ]

The function has the following parameters:

- N: number of indexed elements.
- order: sort order. If order < 0.0, the input strided array x is sorted in decreasing order. If order > 0.0, the input strided array x is sorted in increasing order. If order == 0.0, the input strided arrays are left unchanged.
- x: first input [Array][mdn-array] or [typed array][mdn-typed-array].
- strideX: stride length for x.
- y: second input [Array][mdn-array] or [typed array][mdn-typed-array].
- strideY: stride length for y.

The N and stride parameters determine which elements in the strided arrays are accessed at runtime. For example, to sort every other element:

javascript var x = [ 1.0, -2.0, 3.0, -4.0 ]; var y = [ 0.0, 1.0, 2.0, 3.0 ]; gsort2hp( 2, -1.0, x, 2, y, 2 ); console.log( x ); // => [ 3.0, -2.0, 1.0, -4.0 ] console.log( y ); // => [ 2.0, 1.0, 0.0, 3.0 ]

Note that indexing is relative to the first index. To introduce an offset, use [typed array][mdn-typed-array] views.

javascript var Float64Array = require( '@stdlib/array-float64' ); // Initial arrays... var x0 = new Float64Array( [ 1.0, 2.0, 3.0, 4.0 ] ); var y0 = new Float64Array( [ 0.0, 1.0, 2.0, 3.0 ] ); // Create offset views... var x1 = new Float64Array( x0.buffer, x0.BYTES_PER_ELEMENT*1 ); // start at 2nd element var y1 = new Float64Array( y0.buffer, y0.BYTES_PER_ELEMENT*1 ); // start at 2nd element // Sort every other element... gsort2hp( 2, -1.0, x1, 2, y1, 2 ); console.log( x0 ); // => <Float64Array>[ 1.0, 4.0, 3.0, 2.0 ] console.log( y0 ); // => <Float64Array>[ 0.0, 3.0, 2.0, 1.0 ]

#### gsort2hp.ndarray( N, order, x, strideX, offsetX, y, strideY, offsetY )

Simultaneously sorts two strided arrays based on the sort order of the first array using heapsort and alternative indexing semantics.

javascript var x = [ 1.0, -2.0, 3.0, -4.0 ]; var y = [ 0.0, 1.0, 2.0, 3.0 ]; gsort2hp.ndarray( x.length, 1.0, x, 1, 0, y, 1, 0 ); console.log( x ); // => [ -4.0, -2.0, 1.0, 3.0 ] console.log( y ); // => [ 3.0, 1.0, 0.0, 2.0 ]

The function has the following additional parameters:

- offsetX: starting index for x.
- offsetY: starting index for y.

While [typed array][mdn-typed-array] views mandate a view offset based on the underlying buffer, the offset parameters support indexing semantics based on starting indices. For example, to access only the last three elements:

javascript var x = [ 1.0, -2.0, 3.0, -4.0, 5.0, -6.0 ]; var y = [ 0.0, 1.0, 2.0, 3.0, 4.0, 5.0 ]; gsort2hp.ndarray( 3, 1.0, x, 1, x.length-3, y, 1, y.length-3 ); console.log( x ); // => [ 1.0, -2.0, 3.0, -6.0, -4.0, 5.0 ] console.log( y ); // => [ 0.0, 1.0, 2.0, 5.0, 3.0, 4.0 ]



## Notes

- If N <= 0 or order == 0.0, both functions leave x and y unchanged.
- Both functions support array-like objects having getter and setter accessors for array element access (e.g., [@stdlib/array-base/accessor][@stdlib/array/base/accessor])
- The algorithm distinguishes between -0 and +0. When sorted in increasing order, -0 is sorted before +0. When sorted in decreasing order, -0 is sorted after +0.
- The algorithm sorts NaN values to the end. When sorted in increasing order, NaN values are sorted last. When sorted in decreasing order, NaN values are sorted first.
- The algorithm has space complexity O(1) and worst case time complexity O(N^2).
- The algorithm is efficient for small strided arrays (typically N <= 20) and is particularly efficient for sorting strided arrays which are already substantially sorted.
- The algorithm has space complexity O(1) and time complexity O(N log2 N).
- The algorithm is unstable, meaning that the algorithm may change the order of strided array elements which are equal or equivalent (e.g., NaN values).
- Depending on the environment, the typed versions ([dsort2hp][@stdlib/blas/ext/base/dsort2hp], [ssort2hp][@stdlib/blas/ext/base/ssort2hp], etc.) are likely to be significantly more performant.



## Examples



javascript var discreteUniform = require( '@stdlib/random-array-discrete-uniform' ); var gsort2hp = require( '@stdlib/blas-ext-base-gsort2hp' ); var x = discreteUniform( 10, -100, 100, { 'dtype': 'float64' }); var y = discreteUniform( 10, -100, 100, { 'dtype': 'float64' }); console.log( x ); console.log( y ); gsort2hp( x.length, -1.0, x, -1, y, -1 ); console.log( x ); console.log( y );




## References

- Williams, John William Joseph. 1964. “Algorithm 232: Heapsort.” Communications of the ACM 7 (6). New York, NY, USA: Association for Computing Machinery: 347–49. doi:[10.1145/512274.512284][@williams:1964a].
- Floyd, Robert W. 1964. “Algorithm 245: Treesort.” Communications of the ACM 7 (12). New York, NY, USA: Association for Computing Machinery: 701. doi:[10.1145/355588.365103][@floyd:1964a].



*

## 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].

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## License

See [LICENSE][stdlib-license].


## Copyright

Copyright © 2016-2025. The Stdlib [Authors][stdlib-authors].