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* @license Apache-2.0
*
* Copyright (c) 2018 The Stdlib Authors.
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
'use strict';
// MODULES //
var Complex128 = require( '@stdlib/complex/float64/ctor' );
var copysign = require( '@stdlib/math/base/special/copysign' );
var sincos = require( '@stdlib/math/base/special/sincos' ).assign;
var isnan = require( '@stdlib/math/base/assert/is-nan' );
var isInfinite = require( '@stdlib/math/base/assert/is-infinite' );
var exp = require( '@stdlib/math/base/special/exp' );
var PINF = require( '@stdlib/constants/float64/pinf' );
var NINF = require( '@stdlib/constants/float64/ninf' );
var real = require( '@stdlib/complex/float64/real' );
var imag = require( '@stdlib/complex/float64/imag' );
// VARIABLES //
var WORKSPACE = [ 0.0, 0.0 ];
// MAIN //
/**
* Evaluates the exponential function for a double-precision complex floating-point number.
*
* @param {Complex128} z - complex number
* @returns {Complex128} result
*
* @example
* var Complex128 = require( '@stdlib/complex/float64/ctor' );
* var cexp = require( '@stdlib/math/base/special/cexp' );
*
* var v = cexp( new Complex128( 0.0, 0.0 ) );
* // returns <Complex128>[ 1.0, 0.0 ]
*
* @example
* var Complex128 = require( '@stdlib/complex/float64/ctor' );
* var cexp = require( '@stdlib/math/base/special/cexp' );
*
* var v = cexp( new Complex128( 1.0, 0.0 ) );
* // returns <Complex128>[ ~2.718, 0.0 ]
*/
function cexp( z ) {
var im;
var re;
var e;
re = real( z );
im = imag( z );
if ( isnan( re ) ) {
re = NaN;
im = ( im === 0.0 ) ? im : re;
} else if ( isInfinite( im ) ) {
if ( re === PINF ) {
re = -re;
im = NaN;
} else if ( re === NINF ) {
re = -0.0;
im = copysign( 0.0, im );
} else {
re = NaN;
im = NaN;
}
} else {
e = exp( re );
if ( im === 0.0 ) {
re = e;
} else {
sincos( im, WORKSPACE, 1, 0 );
re = WORKSPACE[ 1 ] * e;
im = WORKSPACE[ 0 ] * e;
}
}
return new Complex128( re, im );
}
// EXPORTS //
module.exports = cexp;
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