stdlib-js/math-base-ops-cdiv

Divide two complex numbers.

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cdiv

Divide two double-precision complex floating-point numbers.

Installation

npm install @stdlib/math-base-ops-cdiv

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 cdiv = require( '@stdlib/math-base-ops-cdiv' );

cdiv( z1, z2 )

Divides two double-precision complex floating-point numbers.

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

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

var v = cdiv( z1, z2 );
// returns <Complex128>

var re = real( v );
// returns 5.0

var im = imag( v );
// returns 3.0

Examples

var Complex128 = require( '@stdlib/complex-float64' );
var discreteUniform = require( '@stdlib/random-base-discrete-uniform' );
var real = require( '@stdlib/complex-real' );
var imag = require( '@stdlib/complex-imag' );
var cdiv = require( '@stdlib/math-base-ops-cdiv' );

function randomComplex() {
    var re = discreteUniform( -50, 50 );
    var im = discreteUniform( -50, 50 );
    return new Complex128( re, im );
}

var z1;
var z2;
var z3;
var i;
for ( i = 0; i < 100; i++ ) {
    z1 = randomComplex();
    z2 = randomComplex();
    z3 = cdiv( z1, z2 );
    console.log( '(%s) / (%s) = %s', z1.toString(), z2.toString(), z3.toString() );
}

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C APIs

Usage

#include "stdlib/math/base/ops/cdiv.h"

stdlib_base_cdiv( z1, z2 )

Divides two double-precision complex floating-point numbers.

#include "stdlib/complex/float64.h"
#include "stdlib/complex/real.h"
#include "stdlib/complex/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_cdiv( z1, z2 );

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

double im = stdlib_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_cdiv( const stdlib_complex128_t z1, const stdlib_complex128_t z2 );

Examples

#include "stdlib/math/base/ops/cdiv.h"
#include "stdlib/complex/float64.h"
#include "stdlib/complex/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_reim( v, &re, &im );
        printf( "z = %lf + %lfi\n", re, im );

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

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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>.

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See Also

• @stdlib/math-base/ops/cadd: add two double-precision complex floating-point numbers.
• @stdlib/math-base/ops/cmul: multiply two double-precision complex floating-point numbers.
• @stdlib/math-base/ops/csub: subtract two double-precision complex floating-point numbers.

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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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