scasum

Compute the sum of the absolute values of the real and imaginary components of a single-precision complex floating-point vector.

Installation

npm install @stdlib/blas-base-scasum

Usage

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

scasum( N, x, strideX )

Computes the sum of the absolute values of the real and imaginary components of a single-precision complex floating-point vector.

var Complex64Array = require( '@stdlib/array-complex64' );

var x = new Complex64Array( [ 0.3, 0.1, 0.5, 0.0, 0.0, 0.5, 0.0, 0.2 ] );

var out = scasum( 4, x, 1 );
// returns ~1.6

The function has the following parameters:

• N: number of indexed elements.
• x: input Complex64Array.
• strideX: index increment for x.

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

var Complex64Array = require( '@stdlib/array-complex64' );

var x = new Complex64Array( [ -2.0, 1.0, 3.0, -5.0, 4.0, 0.0, -1.0, -3.0 ] );

var out = scasum( 2, x, 2 );
// returns 7.0

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

var Complex64Array = require( '@stdlib/array-complex64' );

// Initial array:
var x0 = new Complex64Array( [ 1.0, -2.0, 3.0, -4.0, 5.0, -6.0 ] );

// Create an offset view:
var x1 = new Complex64Array( x0.buffer, x0.BYTES_PER_ELEMENT*1 ); // start at 2nd element

// Compute the sum of absolute values:
var out = scasum( 2, x1, 1 );
// returns 18.0

scasum.ndarray( N, x, strideX, offset )

Computes the sum of the absolute values of the real and imaginary components of a single-precision complex floating-point vector using alternative indexing semantics.

var Complex64Array = require( '@stdlib/array-complex64' );

var x = new Complex64Array( [ 0.3, 0.1, 0.5, 0.0, 0.0, 0.5, 0.0, 0.2 ] );

var out = scasum.ndarray( 4, x, 1, 0 );
// returns ~1.6

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 Complex64Array = require( '@stdlib/array-complex64' );

var x = new Complex64Array( [ 1.0, -2.0, 3.0, -4.0, 5.0, -6.0 ] );

var out = scasum.ndarray( 2, x, 1, 1 );
// returns 18.0

Notes

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

Examples

var discreteUniform = require( '@stdlib/random-base-discrete-uniform' );
var filledarrayBy = require( '@stdlib/array-filled-by' );
var Complex64 = require( '@stdlib/complex-float32-ctor' );
var scasum = require( '@stdlib/blas-base-scasum' );

function rand() {
    return new Complex64( discreteUniform( 0, 10 ), discreteUniform( -5, 5 ) );
}

var x = filledarrayBy( 10, 'complex64', rand );
console.log( x.toString() );

// Compute the sum of the absolute values of real and imaginary components:
var out = scasum( x.length, x, 1 );
console.log( out );

C APIs

Usage

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

c_scasum( N, *X, strideX )

Computes the sum of the absolute values of the real and imaginary components of a single-precision complex floating-point vector.

const float X[] = { 0.3f, 0.1f, 0.5f, 0.0f, 0.0f, 0.5f, 0.0f, 0.2f };

float out = c_scasum( 4, (void *)X, 1 );
// returns 1.6f

The function accepts the following arguments:

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

float c_scasum( const CBLAS_INT N, const void *X, const CBLAS_INT strideX );

c_scasum_ndarray( N, *X, strideX, offsetX )

Computes the sum of the absolute values of the real and imaginary components of a single-precision complex floating-point vector using alternative indexing semantics.

const float X[] = { 0.3f, 0.1f, 0.5f, 0.0f, 0.0f, 0.5f, 0.0f, 0.2f };

float out = c_scasum_ndarray( 4, (void *)X, 1, 0 );
// returns 1.6f

The function accepts the following arguments:

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

float c_scasum_ndarray( const CBLAS_INT N, const void *X, const CBLAS_INT strideX, const CBLAS_INT offsetX );

Examples

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

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

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

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

    // Compute the sum of the absolute values of real and imaginary components:
    float out = c_scasum( N, (void *)X, strideX );

    // Print the result:
    printf( "out: %f\n", out );

    // Compute the sum of the absolute values of real and imaginary components using alternative indexing semantics:
    out = c_scasum_ndarray( N, (void *)X, -strideX, N-1 );

    // Print the result:
    printf( "out: %f\n", out );
}

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

License

See LICENSE.

Copyright

Copyright © 2016-2026. The Stdlib Authors.