exp

Evaluate the exponential function for a double-precision complex floating-point number.

The exponential function of a complex number is defined as

Usage

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

cexp( z )

Evaluates the exponential 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 = cexp( new Complex128( 0.0, 0.0 ) );
// returns <Complex128>

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

var im = imag( v );
// returns 0.0

v = cexp( new Complex128( 0.0, 1.0 ) );
// returns <Complex128>

re = real( v );
// returns ~0.540

im = imag( v );
// returns ~0.841

Examples

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

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

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

C APIs

Usage

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

stdlib_base_cexp( z )

Evaluates the exponential 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( 0.0, 0.0 );
stdlib_complex128_t out = stdlib_base_cexp( z );

double re = stdlib_complex128_real( out );
// returns 1.0

double im = stdlib_complex128_imag( out );
// returns 0.0

The function accepts the following arguments:

z: [in] stdlib_complex128_t input value.

stdlib_complex128_t stdlib_base_cexp( const stdlib_complex128_t z );

Examples

#include "stdlib/math/base/special/cexp.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, 1.5 ),
        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_cexp( v );
        stdlib_complex128_reim( v, &re1, &im1 );
        stdlib_complex128_reim( y, &re2, &im2 );
        printf( "cexp(%lf + %lfi) = %lf + %lfi\n", re1, im1, re2, im2 );
    }
}