cdiv

Divide two double-precision complex floating-point numbers.

Installation

npm install @stdlib/complex-float64-base-div

Usage

var cdiv = require( '@stdlib/complex-float64-base-div' );

cdiv( z1, z2 )

Divides two double-precision complex floating-point numbers.

var Complex128 = require( '@stdlib/complex-float64-ctor' );

var z1 = new Complex128( -13.0, -1.0 );
var z2 = new Complex128( -2.0, 1.0 );

var v = cdiv( z1, z2 );
// returns <Complex128>[ 5.0, 3.0 ]

cdiv.assign( re1, im1, re2, im2, out, strideOut, offsetOut )

Divides two double-precision complex floating-point numbers and assigns results to a provided output array.

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

var out = new Float64Array( 2 );
var v = cdiv.assign( -13.0, -1.0, -2.0, 1.0, out, 1, 0 );
// returns <Float64Array>[ 5.0, 3.0 ]

var bool = ( out === v );
// returns true

The function supports the following parameters:

• re1: real component of the first complex number.
• im1: imaginary component of the first complex number.
• re2: real component of the second complex number.
• im2: imaginary component of the second complex number.
• out: output array.
• strideOut: stride length for out.
• offsetOut: starting index for out.

cdiv.strided( z1, sz1, oz1, z2, sz2, oz2, out, so, oo )

Divides two double-precision complex floating-point numbers stored in real-valued strided array views and assigns results to a provided strided output array.

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

var z1 = new Float64Array( [ -13.0, -1.0 ] );
var z2 = new Float64Array( [ -2.0, 1.0 ] );
var out = new Float64Array( 2 );

var v = cdiv.strided( z1, 1, 0, z2, 1, 0, out, 1, 0 );
// returns <Float64Array>[ 5.0, 3.0 ]

var bool = ( out === v );
// returns true

The function supports the following parameters:

• z1: first complex number strided array view.
• sz1: stride length for z1.
• oz1: starting index for z1.
• z2: second complex number strided array view.
• sz2: stride length for z2.
• oz2: starting index for z2.
• out: output array.
• so: stride length for out.
• oo: starting index for out.

Examples

var Complex128Array = require( '@stdlib/array-complex128' );
var discreteUniform = require( '@stdlib/random-array-discrete-uniform' );
var logEachMap = require( '@stdlib/console-log-each-map' );
var cdiv = require( '@stdlib/complex-float64-base-div' );

// Generate arrays of random values:
var z1 = new Complex128Array( discreteUniform( 200, -50, 50 ) );
var z2 = new Complex128Array( discreteUniform( 200, -50, 50 ) );

// Perform element-wise division:
logEachMap( '(%s) / (%s) = %s', z1, z2, cdiv );

C APIs

Usage

#include "stdlib/complex/float64/base/div.h"

stdlib_base_complex128_div( z1, z2 )

Divides two double-precision complex floating-point numbers.

#include "stdlib/complex/float64/ctor.h"
#include "stdlib/complex/float64/real.h"
#include "stdlib/complex/float64/imag.h"

stdlib_complex128_t z1 = stdlib_complex128( -13.0, -1.0 );
stdlib_complex128_t z2 = stdlib_complex128( -2.0, 1.0 );

stdlib_complex128_t out = stdlib_base_complex128_div( z1, z2 );

double re = stdlib_complex128_real( out );
// returns 5.0

double im = stdlib_complex128_imag( out );
// returns 3.0

The function accepts the following arguments:

• z1: [in] stdlib_complex128_t input value.
• z2: [in] stdlib_complex128_t input value.

stdlib_complex128_t stdlib_base_complex128_div( const stdlib_complex128_t z1, const stdlib_complex128_t z2 );

Examples

#include "stdlib/complex/float64/base/div.h"
#include "stdlib/complex/float64/ctor.h"
#include "stdlib/complex/float64/reim.h"
#include <stdio.h>

int main( void ) {
    const stdlib_complex128_t x[] = {
        stdlib_complex128( 3.14, 1.5 ),
        stdlib_complex128( -3.14, 1.5 ),
        stdlib_complex128( 0.0, -0.0 ),
        stdlib_complex128( 0.0/0.0, 0.0/0.0 )
    };

    stdlib_complex128_t v;
    stdlib_complex128_t y;
    double re;
    double im;
    int i;
    for ( i = 0; i < 4; i++ ) {
        v = x[ i ];
        stdlib_complex128_reim( v, &re, &im );
        printf( "z = %lf + %lfi\n", re, im );

        y = stdlib_base_complex128_div( v, v );
        stdlib_complex128_reim( y, &re, &im );
        printf( "cdiv(z, z) = %lf + %lfi\n", re, im );
    }
}

References

• Smith, Robert L. 1962. "Algorithm 116: Complex Division." Commun. ACM 5 (8). New York, NY, USA: ACM: 435. doi:10.1145/368637.368661.
• Stewart, G. W. 1985. "A Note on Complex Division." ACM Trans. Math. Softw. 11 (3). New York, NY, USA: ACM: 238–41. doi:10.1145/214408.214414.
• Priest, Douglas M. 2004. "Efficient Scaling for Complex Division." ACM Trans. Math. Softw. 30 (4). New York, NY, USA: ACM: 389–401. doi:10.1145/1039813.1039814.
• Baudin, Michael, and Robert L. Smith. 2012. "A Robust Complex Division in Scilab." arXiv abs/1210.4539 [cs.MS] (October): 1–25. <https://arxiv.org/abs/1210.4539>.

See Also

• @stdlib/complex-float64/base/add: add two double-precision complex floating-point numbers.
• @stdlib/complex-float64/base/mul: multiply two double-precision complex floating-point numbers.
• @stdlib/complex-float64/base/sub: subtract two double-precision complex floating-point numbers.

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.