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Identity Function

Evaluate the identity function of a single-precision complex floating-point number.

The identity-function is defined as

$$f(z) = z$$

for all z.

Installation

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

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

cidentityf( z )

Evaluates the identity function for a single-precision complex floating-point number.

var Complex64 = require( '@stdlib/complex-float32-ctor' );
var real = require( '@stdlib/complex-float32-real' );
var imag = require( '@stdlib/complex-float32-imag' );

var v = cidentityf( new Complex64( -1.0, 2.0 ) );
// returns <Complex64>

var re = real( v );
// returns -1.0

var im = imag( v );
// returns 2.0

Examples

var discreteUniform = require( '@stdlib/random-base-discrete-uniform' );
var Complex64 = require( '@stdlib/complex-float32-ctor' );
var cidentityf = require( '@stdlib/math-base-special-cidentityf' );

var z;
var i;
for ( i = 0; i < 100; i++ ) {
    z = new Complex64( discreteUniform( -50, 50 ), discreteUniform( -50, 50 ) );
    console.log( 'identity(%s) = %s', z, cidentityf( z ) );
}

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C APIs

Usage

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

stdlib_base_cidentityf( z )

Evaluates the identity function for a single-precision complex floating-point number.

#include <complex.h>

float complex y = stdlib_base_cidentityf( 2.0f+2.0f*I );
// returns 2.0f+2.0f*I

The function accepts the following arguments:

• z: [in] float complex input value.

float complex stdlib_base_cidentityf( const float complex z );

Examples

#include "stdlib/math/base/special/cidentityf.h"
#include <stdio.h>
#include <complex.h>

int main( void ) {
    const float complex x[] = { 3.14f+1.0f*I, -3.14f-1.0f*I, 0.0f+0.0f*I, 0.0f/0.0f+0.0f/0.0f*I };

    float complex v;
    float complex y;
    int i;
    for ( i = 0; i < 4; i++ ) {
        v = x[ i ];
        y = stdlib_base_cidentityf( v );
        printf( "f(%f + %f) = %f + %f\n", crealf( v ), cimagf( v ), crealf( y ), cimagf( y ) );
    }
}

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See Also

• @stdlib/math-base/special/cidentity: evaluate the identity function for a double-precision complex floating-point number.
• @stdlib/math-base/special/identityf: evaluate the identity function for a single-precision floating-point number.

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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

Copyright © 2016-2024. The Stdlib Authors.