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Function `std.complex.exp`

Calculates e^x.


						
				Complex!T exp(T)
				(
				

				  Complex!T x
				

				) pure nothrow @nogc @trusted;

Parameters

Name	Description
x	A complex number

Returns

The complex base e exponential of x

Special Values
x	exp(x)
(±0, +0)	(1, +0)
(any, +∞)	(NAN, NAN)
(any, NAN)	(NAN, NAN)
(+∞, +0)	(+∞, +0)
(-∞, any)	(±0, cis(x.im))
(+∞, any)	(±∞, cis(x.im))
(-∞, +∞)	(±0, ±0)
(+∞, +∞)	(±∞, NAN)
(-∞, NAN)	(±0, ±0)
(+∞, NAN)	(±∞, NAN)
(NAN, +0)	(NAN, +0)
(NAN, any)	(NAN, NAN)
(NAN, NAN)	(NAN, NAN)

Example

import std.math : isClose, PI;

writeln(exp(complex(0.0, 0.0))); // complex(1.0, 0.0)

auto a = complex(2.0, 1.0);
writeln(exp(conj(a))); // conj(exp(a))

auto b = exp(complex(0.0L, 1.0L) * PI);
assert(isClose(b, -1.0L, 0.0, 1e-19));

Authors

Lars Tandle Kyllingstad, Don Clugston

License

Boost License 1.0