ssort2ins

Simultaneously sort two single-precision floating-point strided arrays based on the sort order of the first array using insertion sort.

Installation

npm install @stdlib/blas-ext-base-ssort2ins

Usage

var ssort2ins = require( '@stdlib/blas-ext-base-ssort2ins' );

ssort2ins( N, order, x, strideX, y, strideY )

Simultaneously sorts two single-precision floating-point strided arrays based on the sort order of the first array using insertion sort.

var Float32Array = require( '@stdlib/array-float32' );

var x = new Float32Array( [ 1.0, -2.0, 3.0, -4.0 ] );
var y = new Float32Array( [ 0.0, 1.0, 2.0, 3.0 ] );

ssort2ins( x.length, 1.0, x, 1, y, 1 );

console.log( x );
// => <Float32Array>[ -4.0, -2.0, 1.0, 3.0 ]

console.log( y );
// => <Float32Array>[ 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 Float32Array.
• strideX: stride length for x.
• y: second input Float32Array.
• 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:

var Float32Array = require( '@stdlib/array-float32' );
var x = new Float32Array( [ 1.0, -2.0, 3.0, -4.0 ] );
var y = new Float32Array( [ 0.0, 1.0, 2.0, 3.0 ] );

ssort2ins( 2, -1.0, x, 2, y, 2 );

console.log( x );
// => <Float32Array>[ 3.0, -2.0, 1.0, -4.0 ]

console.log( y );
// => <Float32Array>[ 2.0, 1.0, 0.0, 3.0 ]

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

var Float32Array = require( '@stdlib/array-float32' );

// Initial arrays...
var x0 = new Float32Array( [ 1.0, 2.0, 3.0, 4.0 ] );
var y0 = new Float32Array( [ 0.0, 1.0, 2.0, 3.0 ] );

// Create offset views...
var x1 = new Float32Array( x0.buffer, x0.BYTES_PER_ELEMENT*1 ); // start at 2nd element
var y1 = new Float32Array( y0.buffer, y0.BYTES_PER_ELEMENT*1 ); // start at 2nd element

// Sort every other element...
ssort2ins( 2, -1.0, x1, 2, y1, 2 );

console.log( x0 );
// => <Float32Array>[ 1.0, 4.0, 3.0, 2.0 ]

console.log( y0 );
// => <Float32Array>[ 0.0, 3.0, 2.0, 1.0 ]

ssort2ins.ndarray( N, order, x, strideX, offsetX, y, strideY, offsetY )

Simultaneously sorts two single-precision floating-point strided arrays based on the sort order of the first array the strided array using insertion sort and alternative indexing semantics.

var Float32Array = require( '@stdlib/array-float32' );

var x = new Float32Array( [ 1.0, -2.0, 3.0, -4.0 ] );
var y = new Float32Array( [ 0.0, 1.0, 2.0, 3.0 ] );

ssort2ins.ndarray( x.length, 1.0, x, 1, 0, y, 1, 0 );

console.log( x );
// => <Float32Array>[ -4.0, -2.0, 1.0, 3.0 ]

console.log( y );
// => <Float32Array>[ 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 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:

var Float32Array = require( '@stdlib/array-float32' );

var x = new Float32Array( [ 1.0, -2.0, 3.0, -4.0, 5.0, -6.0 ] );
var y = new Float32Array( [ 0.0, 1.0, 2.0, 3.0, 4.0, 5.0 ] );

ssort2ins.ndarray( 3, 1.0, x, 1, x.length-3, y, 1, y.length-3 );

console.log( x );
// => <Float32Array>[ 1.0, -2.0, 3.0, -6.0, -4.0, 5.0 ]

console.log( y );
// => <Float32Array>[ 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.
• 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 arrays are sorted in-place (i.e., the input strided arrays are mutated).

Examples

var discreteUniform = require( '@stdlib/random-array-discrete-uniform' );
var ssort2ins = require( '@stdlib/blas-ext-base-ssort2ins' );

var x = discreteUniform( 10, -100, 100, {
    'dtype': 'float32'
});
var y = discreteUniform( 10, -100, 100, {
    'dtype': 'float32'
});

console.log( x );
console.log( y );

ssort2ins( x.length, -1.0, x, -1, y, -1 );
console.log( x );
console.log( y );

C APIs

Usage

#include "stdlib/blas/ext/base/ssort2ins.h"

stdlib_strided_ssort2ins( N, order, *X, strideX, *Y, strideY )

Simultaneously sorts two single-precision floating-point strided arrays based on the sort order of the first array using insertion sort.

float x[] = { 1.0f, -2.0f, 3.0f, -4.0f };
float y[] = { 0.0f, 1.0f, 2.0f, 3.0f };

stdlib_strided_ssort2ins( 4, 1.0f, x, 1, y, 1 );

The function accepts the following arguments:

• N: [in] CBLAS_INT number of indexed elements.
• order: [in] float 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: [inout] float* first input array.
• strideX: [in] CBLAS_INT stride length for X.
• Y: [inout] float* second input array.
• strideY: [in] CBLAS_INT stride length for Y.

stdlib_strided_ssort2ins( const CBLAS_INT N, const float order, float *X, const CBLAS_INT strideX, float *Y, const CBLAS_INT strideY );

stdlib_strided_ssort2ins_ndarray( N, order, *X, strideX, offsetX, *Y, strideY, offsetY )

Simultaneously sorts two single-precision floating-point strided arrays based on the sort order of the first array using insertion sort and alternative indexing semantics.

float x[] = { 1.0f, -2.0f, 3.0f, -4.0f };
float y[] = { 0.0f, 1.0f, 2.0f, 3.0f };

stdlib_strided_ssort2ins_ndarray( 4, 1.0f, x, 1, 0, y, 1, 0 );

The function accepts the following arguments:

• N: [in] CBLAS_INT number of indexed elements.
• order: [in] float 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: [inout] float* first input array.
• strideX: [in] CBLAS_INT stride length for X.
• offsetX: [in] CBLAS_INT starting index for X.
• Y: [inout] float* second input array.
• strideY: [in] CBLAS_INT stride length for Y.
• offsetY: [in] CBLAS_INT starting index for Y.

stdlib_strided_ssort2ins_ndarray( const CBLAS_INT N, const float order, float *X, const CBLAS_INT strideX, const CBLAS_INT offsetX, float *Y, const CBLAS_INT strideY, const CBLAS_INT offsetY );

Examples

#include "stdlib/blas/ext/base/ssort2ins.h"
#include <stdio.h>

int main( void ) {
    // Create strided arrays:
    float x[] = { 1.0f, -2.0f, 3.0f, -4.0f, 5.0f, -6.0f, 7.0f, -8.0f };
    float y[] = { 0.0f, 1.0f, 2.0f, 3.0f, 4.0f, 5.0f, 6.0f, 7.0f };

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

    // Specify the strides:
    int strideX = 1;
    int strideY = 1;

    // Sort the arrays:
    stdlib_strided_ssort2ins( N, 1.0f, x, strideX, y, strideY );

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

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/gsort2ins: simultaneously sort two strided arrays based on the sort order of the first array using insertion sort.
• @stdlib/blas-ext/base/ssortins: sort a single-precision floating-point strided array using insertion sort.

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.

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License

See LICENSE.

Copyright

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