Defined in header <valarray> | ||
---|---|---|
template< class T > valarray<T> exp( const valarray<T>& va ); |
For each element in va
computes e raised to the power equal to the value of the element.
Parameters
va | - | value array to apply the operation to |
Return value
Value array containing e raised by the values in va
.
Notes
Unqualified function (exp
) is used to perform the computation. If such function is not available, std::exp
is used due to argument dependent lookup.
The function can be implemented with the return type different from std::valarray
. In this case, the replacement type has the following properties:
- All
const
member functions ofstd::valarray
are provided. -
std::valarray
,std::slice_array
,std::gslice_array
,std::mask_array
andstd::indirect_array
can be constructed from the replacement type. - All functions accepting an argument of type
const std::valarray&
exceptbegin()
andend()
(since C++14) should also accept the replacement type. - All functions accepting two arguments of type
const std::valarray&
should accept every combination ofconst std::valarray&
and the replacement type. - The return type does not add more than two levels of template nesting over the most deeply-nested argument type.
Possible implementation
template< class T > valarray<T> exp( const valarray<T>& va ) { valarray<T> other = va; for (T &i : other) { i = exp(i); } return other; // proxy object may be returned } |
Example
This example demonstrates the Euler's identity eiπ
= -1 and the related exponents.
#include <iostream> #include <complex> #include <valarray> int main() { const double pi = std::acos(-1); std::valarray<std::complex<double>> v = { {0, 0}, {0, pi/2}, {0, pi}, {0, 3*pi/2}, {0, 2*pi} }; std::valarray<std::complex<double>> v2 = std::exp(v); for(auto n : v2) { std::cout << std::fixed << n << '\n'; } }
Output:
(1.000000,0.000000) (0.000000,1.000000) (-1.000000,0.000000) (-0.000000,-1.000000) (1.000000,-0.000000)
See also
applies the function std::log to each element of valarray (function template) | |
returns e raised to the given power (ex) (function) | |
complex base e exponential (function template) |
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