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@stdlib/math-base-special-csignum

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    @stdlib/math-base-special-csignum

Evaluate the signum function of a double-precision complex floating-point number.


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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!

csignum

NPM version Build Status Coverage Status

Evaluate the signum function of a double-precision complex floating-point number.

Installation

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

Usage

var csignum = require( '@stdlib/math-base-special-csignum' );
csignum( z )

Evaluates the signum function of a double-precision complex floating-point number.

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

var v = csignum( new Complex128( -4.2, 5.5 ) );
// returns <Complex128>

var re = real( v );
// returns -0.6069136033622302

var im = imag( v );
// returns 0.79476781392673

v = csignum( new Complex128( 0.0, 0.0 ) );
// returns <Complex128>

re = real( v );
// returns 0.0

im = imag( v );
// returns 0.0

v = csignum( new Complex128( NaN, NaN ) );
// returns <Complex128>

re = real( v );
// returns NaN

im = imag( v );
// returns NaN

Examples

var uniform = require( '@stdlib/random-base-uniform' ).factory;
var Complex128 = require( '@stdlib/complex-float64' );
var csignum = require( '@stdlib/math-base-special-csignum' );

var rand = uniform( -50.0, 50.0 );

var z;
var i;
for ( i = 0; i < 100; i++ ) {
    z = new Complex128( rand(), rand() );
    console.log( 'csignum(%s) = %s', z, csignum( z ) );
}

C APIs

Usage

#include "stdlib/math/base/special/csignum.h"
stdlib_base_csignum( z )

Evaluates the signum function of a double-precision complex floating-point number.

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

stdlib_complex128_t z = stdlib_complex128( -4.2, 5.5 );

stdlib_complex128_t out = stdlib_base_csignum( z );

double re = stdlib_real( out );
// returns -0.6069136033622302

double im = stdlib_imag( out );
// returns 0.79476781392673

The function accepts the following arguments:

  • z: [in] stdlib_complex128_t input value.
stdlib_complex128_t stdlib_base_csignum( const stdlib_complex128_t z );

Examples

#include "stdlib/math/base/special/csignum.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 re1;
    double im1;
    double re2;
    double im2;
    int i;
    for ( i = 0; i < 4; i++ ) {
        v = x[ i ];
        y = stdlib_base_csignum( v );
        stdlib_reim( v, &re1, &im1 );
        stdlib_reim( y, &re2, &im2 );
        printf( "csignum(%lf + %lfi) = %lf + %lfi\n", re1, im1, re2, im2 );
    }
}

See Also


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.

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License

See LICENSE.

Copyright © 2016-2024. The Stdlib Authors.

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Last updated on 24 Feb 2024

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