About stdlib...

We believe in a future in which the web is a preferred environment for numerical computation. To help realize this future, we've built stdlib. stdlib is a standard library, with an emphasis on numerical and scientific computation, written in JavaScript (and C) for execution in browsers and in Node.js.

The library is fully decomposable, being architected in such a way that you can swap out and mix and match APIs and functionality to cater to your exact preferences and use cases.

When you use stdlib, you can be absolutely certain that you are using the most thorough, rigorous, well-written, studied, documented, tested, measured, and high-quality code out there.

To join us in bringing numerical computing to the web, get started by checking us out on GitHub, and please consider financially supporting stdlib. We greatly appreciate your continued support!

cpolar

Compute the absolute value and phase of a double-precision complex floating-point number.

Installation

npm install @stdlib/math-base-special-cpolar

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 cpolar = require( '@stdlib/math-base-special-cpolar' );

cpolar( z )

Computes the absolute value and phase of a double-precision complex floating-point number.

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

var o = cpolar( new Complex128( 5.0, 3.0 ) );
// returns [ ~5.83, ~0.5404 ]

cpolar.assign( z, out, stride, offset )

Computes the absolute value and phase of a double-precision complex floating-point number and assigns results to a provided output array.

var Complex128 = require( '@stdlib/complex-float64-ctor' );
var Float64Array = require( '@stdlib/array-float64' );

var out = new Float64Array( 2 );

var v = cpolar.assign( new Complex128( 5.0, 3.0 ), out, 1, 0 );
// returns <Float64Array>[ ~5.83, ~0.5404 ]

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

Examples

var Complex128 = require( '@stdlib/complex-float64-ctor' );
var randu = require( '@stdlib/random-base-randu' );
var round = require( '@stdlib/math-base-special-round' );
var real = require( '@stdlib/complex-float64-real' );
var imag = require( '@stdlib/complex-float64-imag' );
var cpolar = require( '@stdlib/math-base-special-cpolar' );

var re;
var im;
var z;
var o;
var i;

for ( i = 0; i < 100; i++ ) {
    re = round( randu()*100.0 ) - 50.0;
    im = round( randu()*100.0 ) - 50.0;
    z = new Complex128( re, im );
    o = cpolar( z );
    z = z.toString();
    console.log( 'abs(%s) = %d. arg(%s) = %d', z, o[0], z, o[1] );
}

---

C APIs

Usage

#include "stdlib/math/base/special/cpolar.h"

stdlib_base_cpolar( z, cabs, cphase )

Computes the absolute value and phase of a double-precision complex floating-point number.

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

stdlib_complex128_t z = stdlib_complex128( 5.0, 3.0 );
double cabs;
double cphase;
stdlib_base_cpolar( z, &cabs, &cphase );

The function accepts the following arguments:

• z: [in] stdlib_complex128_t input value.
• cabs: [out] double* destination for the absolute value.
• cphase: [out] double* destination for the phase value in radians.

double stdlib_base_cpolar( const stdlib_complex128_t z, double *cabs, double *cphase );

Examples

#include "stdlib/math/base/special/cpolar.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, 1.0 ),
        stdlib_complex128( -3.14, -1.0 ),
        stdlib_complex128( 0.0, 0.0 ),
        stdlib_complex128( 0.0/0.0, 0.0/0.0 )
    };

    double cphase;
    double cabs;
    double re;
    double im;
    int i;
    for ( i = 0; i < 4; i++ ) {
        stdlib_base_cpolar( x[i], &cabs, &cphase );
        stdlib_complex128_reim( x[i], &re, &im );
        printf( "cpolar(%lf + %lfi) => cabs: %lf, cphase: %lf\n", re, im, cabs, cphase );
    }
}

---

See Also

• @stdlib/math-base/special/cabs: compute the absolute value of a double-precision complex floating-point number.
• @stdlib/math-base/special/cphase: compute the argument of a double-precision complex floating-point number in radians.

---

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 © 2016-2024. The Stdlib Authors.