stdlib-js / blas-ext-base-dsortins

Sort a double-precision floating-point strided array using insertion sort.

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dsortins

Sort a double-precision floating-point strided array using insertion sort.

Installation

npm install @stdlib/blas-ext-base-dsortins

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

dsortins( N, order, x, strideX )

Sorts a double-precision floating-point strided array using insertion sort.

var Float64Array = require( '@stdlib/array-float64' );

var x = new Float64Array( [ 1.0, -2.0, 3.0, -4.0 ] );

dsortins( x.length, 1.0, x, 1 );
// x => <Float64Array>[ -4.0, -2.0, 1.0, 3.0 ]

The function has the following parameters:

• N: number of indexed elements.
• order: sort order. If order < 0.0, the input strided array is sorted in decreasing order. If order > 0.0, the input strided array is sorted in increasing order. If order == 0.0, the input strided array is left unchanged.
• x: input Float64Array.
• strideX: stride length.

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

var Float64Array = require( '@stdlib/array-float64' );

var x = new Float64Array( [ 1.0, -2.0, 3.0, -4.0 ] );

dsortins( 2, -1.0, x, 2 );
// x => <Float64Array>[ 3.0, -2.0, 1.0, -4.0 ]

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

var Float64Array = require( '@stdlib/array-float64' );

// Initial array...
var x0 = new Float64Array( [ 1.0, 2.0, 3.0, 4.0 ] );

// Create an offset view...
var x1 = new Float64Array( x0.buffer, x0.BYTES_PER_ELEMENT*1 ); // start at 2nd element

// Sort every other element...
dsortins( 2, -1.0, x1, 2 );
// x0 => <Float64Array>[ 1.0, 4.0, 3.0, 2.0 ]

dsortins.ndarray( N, order, x, strideX, offsetX )

Sorts a double-precision floating-point strided array using insertion sort and alternative indexing semantics.

var Float64Array = require( '@stdlib/array-float64' );

var x = new Float64Array( [ 1.0, -2.0, 3.0, -4.0 ] );

dsortins.ndarray( x.length, 1.0, x, 1, 0 );
// x => <Float64Array>[ -4.0, -2.0, 1.0, 3.0 ]

The function has the following additional parameters:

• offsetX: starting index.

While typed array views mandate a view offset based on the underlying buffer, the offset parameter supports indexing semantics based on a starting index. For example, to access only the last three elements:

var Float64Array = require( '@stdlib/array-float64' );

var x = new Float64Array( [ 1.0, -2.0, 3.0, -4.0, 5.0, -6.0 ] );

dsortins.ndarray( 3, 1.0, x, 1, x.length-3 );
// x => <Float64Array>[ 1.0, -2.0, 3.0, -6.0, -4.0, 5.0 ]

Notes

• If N <= 0 or order == 0.0, both functions return x unchanged.
• 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 is stable, meaning that the algorithm does not change the order of strided array elements which are equal or equivalent (e.g., NaN values).
• The input strided array is sorted in-place (i.e., the input strided array is mutated).

Examples

var discreteUniform = require( '@stdlib/random-array-discrete-uniform' );
var dsortins = require( '@stdlib/blas-ext-base-dsortins' );

var x = discreteUniform( 10, -100, 100, {
    'dtype': 'float64'
});
console.log( x );

dsortins( x.length, -1.0, x, -1 );
console.log( x );

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C APIs

Usage

#include "stdlib/blas/ext/base/dsortins.h"

stdlib_strided_dsortins( N, order, *X, strideX )

Sorts a double-precision floating-point strided array using insertion sort.

double x[] = { 1.0, -2.0, 3.0, -4.0 };

stdlib_strided_dsortins( 2, -1.0, x, 1 );

The function accepts the following arguments:

• N: [in] CBLAS_INT number of indexed elements.
• order: [in] double sort order. If order < 0.0, the input strided array is sorted in decreasing order. If order > 0.0, the input strided array is sorted in increasing order. If order == 0.0, the input strided array is left unchanged.
• X: [inout] double* input array.
• strideX: [in] CBLAS_INT stride length for X.

stdlib_strided_dsortins( const CBLAS_INT N, const double order, double *X, const CBLAS_INT strideX );

stdlib_strided_dsortins_ndarray( N, order, *X, strideX, offsetX )

Sorts a double-precision floating-point strided array using insertion sort and alternative indexing semantics.

double x[] = { 1.0, -2.0, 3.0, -4.0 };

stdlib_strided_dsortins_ndarray( 4, 1.0, x, 1, 0 );

The function accepts the following arguments:

• N: [in] CBLAS_INT number of indexed elements.
• order: [in] double sort order. If order < 0.0, the input strided array is sorted in decreasing order. If order > 0.0, the input strided array is sorted in increasing order. If order == 0.0, the input strided array is left unchanged.
• X: [inout] double* input array.
• strideX: [in] CBLAS_INT stride length for X.
• offsetX: [in] CBLAS_INT starting index for X.

stdlib_strided_dsortins_ndarray( const CBLAS_INT N, const double order, double *X, const CBLAS_INT strideX, const CBLAS_INT offsetX );

Examples

#include "stdlib/blas/ext/base/dsortins.h"
#include <stdio.h>

int main( void ) {
    // Create a strided array:
    double x[] = { 1.0, -2.0, 3.0, -4.0, 5.0, -6.0, 7.0, -8.0 };

    // Specify the number of elements:
    int N = 8;

    // Specify a stride:
    int strideX = 1;

    // Sort the array:
    stdlib_strided_dsortins( N, 1.0, x, strideX );

    // Print the result:
    for ( int i = 0; i < 8; i++ ) {
        printf( "x[ %i ] = %lf\n", i, x[ i ] );
    }
}

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See Also

• @stdlib/blas-ext/base/dsort2ins: simultaneously sort two double-precision floating-point strided arrays based on the sort order of the first array using insertion sort.
• @stdlib/blas-ext/base/gsortins: sort a strided array using insertion sort.
• @stdlib/blas-ext/base/ssortins: sort a single-precision floating-point strided array using insertion sort.

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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

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