Package Exports

@stdlib/math-base-special-cexp
@stdlib/math-base-special-cexp/lib/index.js

This package does not declare an exports field, so the exports above have been automatically detected and optimized by JSPM instead. If any package subpath is missing, it is recommended to post an issue to the original package (@stdlib/math-base-special-cexp) to support the "exports" field. If that is not possible, create a JSPM override to customize the exports field for this package.

Readme

exp

$NPM version$ $Build Status$ $Coverage Status$

Compute the exponential function of a complex number.

The exponential function of a complex number is defined as

$Complex exponential function$

Installation

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

Usage

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

cexp( [out,] re, im )

Evaluates the exponential function with a complex argument comprised of a real component re and an imaginary component im.

var v = cexp( 0.0, 0.0 );
// returns [ 1.0, 0.0 ]

v = cexp( 0.0, 1.0 );
// returns [ ~0.540, ~0.841 ]

By default, the function returns real and imaginary components as a two-element array. To avoid unnecessary memory allocation, the function supports providing an output (destination) object.

var Float64Array = require( '@stdlib/array-float64' );

var out = new Float64Array( 2 );

var v = cexp( out, 0.0, 1.0 );
// returns <Float64Array>[ ~0.540, ~0.841 ]

var bool = ( v === out );
// returns true

Examples

var Complex128 = require( '@stdlib/complex-float64' );
var randu = require( '@stdlib/random-base-randu' );
var round = require( '@stdlib/math-base-special-round' );
var real = require( '@stdlib/complex-real' );
var imag = require( '@stdlib/complex-imag' );
var cexp = require( '@stdlib/math-base-special-cexp' );

var re;
var im;
var z1;
var z2;
var o;
var i;

for ( i = 0; i < 100; i++ ) {
    re = round( randu()*100.0 ) - 50.0;
    im = round( randu()*100.0 ) - 50.0;
    z1 = new Complex128( re, im );

    o = cexp( real(z1), imag(z1) );
    z2 = new Complex128( o[ 0 ], o[ 1 ] );

    console.log( 'cexp(%s) = %s', z1.toString(), z2.toString() );
}

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.

@stdlib/math-base-special-cexp