exp

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

The exponential function of a complex number is defined as

Installation

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

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 );
    }
}

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.