Defined in header <complex>  

template< class T > complex<T> exp( const complex<T>& z ); 
Compute basee exponential of z
, that is e (Euler's number, 2.7182818
) raised to the z
power.
z    complex value 
If no errors occur, e raised to the power of z
, ez
, is returned.
Errors are reported consistent with math_errhandling
.
If the implementation supports IEEE floatingpoint arithmetic,
std::exp(std::conj(z)) == std::conj(std::exp(z))
z
is (±0,+0)
, the result is (1,+0)
z
is (x,+∞)
(for any finite x), the result is (NaN,NaN)
and FE_INVALID
is raised. z
is (x,NaN)
(for any finite x), the result is (NaN,NaN)
and FE_INVALID
may be raised. z
is (+∞,+0)
, the result is (+∞,+0)
z
is (∞,y)
(for any finite y), the result is +0cis(y)
z
is (+∞,y)
(for any finite nonzero y), the result is +∞cis(y)
z
is (∞,+∞)
, the result is (±0,±0)
(signs are unspecified) z
is (+∞,+∞)
, the result is (±∞,NaN)
and FE_INVALID
is raised (the sign of the real part is unspecified) z
is (∞,NaN)
, the result is (±0,±0)
(signs are unspecified) z
is (+∞,NaN)
, the result is (±∞,NaN)
(the sign of the real part is unspecified) z
is (NaN,+0)
, the result is (NaN,+0)
z
is (NaN,y)
(for any nonzero y), the result is (NaN,NaN)
and FE_INVALID
may be raised z
is (NaN,NaN)
, the result is (NaN,NaN)
where cis(y) is cos(y) + i sin(y).
The complex exponential function ez
for z = x+iy equals ex
cis(y), or, ex
(cos(y) + i sin(y)).
The exponential function is an entire function in the complex plane and has no branch cuts.
#include <complex> #include <iostream> int main() { const double pi = std::acos(1); const std::complex<double> i(0, 1); std::cout << std::fixed << " exp(i*pi) = " << std::exp(i * pi) << '\n'; }
Output:
exp(i*pi) = (1.000000,0.000000)
complex natural logarithm with the branch cuts along the negative real axis (function template) 

(C++11)(C++11)  returns e raised to the given power (e^{x}) (function) 
applies the function std::exp to each element of valarray (function template) 
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