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dznrm2

Compute the L2-norm of a complex double-precision floating-point vector.

Installation

npm install @stdlib/blas-base-dznrm2

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 dznrm2 = require( '@stdlib/blas-base-dznrm2' );

dznrm2( N, zx, strideX )

Computes the L2-norm of a complex double-precision floating-point vector.

var Complex128Array = require( '@stdlib/array-complex128' );

var zx = new Complex128Array( [ 0.3, 0.1, 0.5, 0.0, 0.0, 0.5, 0.0, 0.2 ] );

var norm = dznrm2( 4, zx, 1 );
// returns ~0.8

The function has the following parameters:

• N: number of indexed elements.
• zx: input Complex128Array.
• strideX: index increment for zx.

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

var Complex128Array = require( '@stdlib/array-complex128' );

var zx = new Complex128Array( [ -2.0, 1.0, 3.0, -5.0, 4.0, 0.0, -1.0, -3.0 ] );

var norm = dznrm2( 2, zx, 2 );
// returns ~4.6

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

var Complex128Array = require( '@stdlib/array-complex128' );

// Initial array:
var zx0 = new Complex128Array( [ 1.0, -2.0, 3.0, -4.0, 5.0, -6.0 ] );

// Create an offset view:
var zx1 = new Complex128Array( zx0.buffer, zx0.BYTES_PER_ELEMENT*1 ); // start at 2nd element

// Compute the L2-norm:
var norm = dznrm2( 2, zx1, 1 );
// returns ~9.3

dznrm2.ndarray( N, zx, strideX, offset )

Computes the L2-norm of a complex double-precision floating-point vector using alternative indexing semantics.

var Complex128Array = require( '@stdlib/array-complex128' );

var zx = new Complex128Array( [ 0.3, 0.1, 0.5, 0.0, 0.0, 0.5, 0.0, 0.2 ] );

var norm = dznrm2.ndarray( 4, zx, 1, 0 );
// returns ~0.8

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 start from the second index,

var Complex128Array = require( '@stdlib/array-complex128' );

var zx = new Complex128Array( [ 1.0, -2.0, 3.0, -4.0, 5.0, -6.0 ] );

var norm = dznrm2.ndarray( 2, zx, 1, 1 );
// returns ~9.3

Notes

• If N <= 0, both functions return 0.0.
• dznrm2() corresponds to the BLAS level 1 function dznrm2.

Examples

var discreteUniform = require( '@stdlib/random-base-discrete-uniform' );
var filledarrayBy = require( '@stdlib/array-filled-by' );
var Complex128 = require( '@stdlib/complex-float64-ctor' );
var dznrm2 = require( '@stdlib/blas-base-dznrm2' );

function rand() {
    return new Complex128( discreteUniform( 0, 10 ), discreteUniform( -5, 5 ) );
}

var zx = filledarrayBy( 10, 'complex128', rand );
console.log( zx.toString() );

// Computes the L2-norm:
var norm = dznrm2( zx.length, zx, 1 );
console.log( norm );

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C APIs

Usage

#include "stdlib/blas/base/dznrm2.h"

c_dznrm2( N, *ZX, strideX )

Computes the L2-norm of a complex double-precision floating-point vector.

const double zx[] = { 0.3, 0.1, 0.5, 0.0, 0.0, 0.5, 0.0, 0.2 };

double norm = c_dznrm2( 4, (void *)zx, 1 );
// returns 0.8

The function accepts the following arguments:

• N: [in] CBLAS_INT number of indexed elements.
• ZX: [in] void* input array.
• strideX: [in] CBLAS_INT index increment for ZX.

double c_dznrm2( const CBLAS_INT N, const void *ZX, const CBLAS_INT strideX );

c_dznrm2_ndarray( N, *ZX, strideX, offsetX )

Computes the L2-norm of a complex double-precision floating-point vector using alternative indexing semantics.

const double zx[] = { 0.3, 0.1, 0.5, 0.0, 0.0, 0.5, 0.0, 0.2 };

double norm = c_dznrm2_ndarray( 4, (void *)zx, 1, 0 );
// returns 0.8

The function accepts the following arguments:

• N: [in] CBLAS_INT number of indexed elements.
• ZX: [in] void* input array.
• strideX: [in] CBLAS_INT index increment for ZX.
• offsetX: [in] CBLAS_INT starting index for ZX.

double c_dznrm2_ndarray( const CBLAS_INT N, const void *ZX, const CBLAS_INT strideX, const CBLAS_INT offsetX );

Examples

#include "stdlib/blas/base/dznrm2.h"
#include <stdio.h>

int main( void ) {
    // Create a strided array of interleaved real and imaginary components:
    const double zx[] = { 1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0 };

    // Specify the number of elements:
    const int N = 4;

    // Specify stride length:
    const int strideX = 1;

    // Compute the L2-norm:
    double norm = c_dznrm2( N, (void *)zx, strideX );

    // Print the result:
    printf( "L2-norm: %lf\n", norm );

    // Compute the L2-norm using alternative indexing semantics:
    norm = c_dznrm2_ndarray( N, (void *)zx, -strideX, N-1 );

    // Print the result:
    printf( "L2-norm: %lf\n", norm );
}

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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

Copyright © 2016-2024. The Stdlib Authors.