cidentity

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

The identity-function is defined as

for all z.

Usage

var cidentity = require( '@stdlib/math/base/special/cidentity' );

cidentity( z )

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

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

var v = cidentity( new Complex128( -1.0, 2.0 ) );
// returns <Complex128>

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

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

Examples

var discreteUniform = require( '@stdlib/random/base/discrete-uniform' );
var Complex128 = require( '@stdlib/complex/float64/ctor' );
var cidentity = require( '@stdlib/math/base/special/cidentity' );

var z;
var i;
for ( i = 0; i < 100; i++ ) {
    z = new Complex128( discreteUniform( -50, 50 ), discreteUniform( -50, 50 ) );
    console.log( 'identity(%s) = %s', z, cidentity( z ) );
}

C APIs

Usage

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

stdlib_base_cidentity( z )

Evaluates the identity function for 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( 2.5, -1.5 );
stdlib_complex128_t out = stdlib_base_cidentity( z );

double re = stdlib_complex128_real( out );
// returns 2.5

double im = stdlib_complex128_imag( out );
// returns -1.5

The function accepts the following arguments:

z: [in] stdlib_complex128_t input value.

stdlib_complex128_t stdlib_base_cidentity( const stdlib_complex128_t z );

Examples

#include "stdlib/math/base/special/cidentity.h"
#include "stdlib/complex/float64/ctor.h"
#include "stdlib/complex/float64/reim.h"
#include <stdio.h>

int main() {
    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_cidentity( v );
        stdlib_complex128_reim( v, &re1, &im1 );
        stdlib_complex128_reim( y, &re2, &im2 );
        printf( "cidentity(%lf + %lfi) = %lf + %lfi\n", re1, im1, re2, im2 );
    }
}