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std::exp(std::valarray)

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< cpp‎ | numeric‎ | valarray
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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.

Contents

[edit] Parameters

va - value array to apply the operation to

[edit] Return value

Value array containing e raised by the values in va.

[edit] 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 of std::valarray are provided.
  • std::valarray, std::slice_array, std::gslice_array, std::mask_array and std::indirect_array can be constructed from the replacement type.
  • All functions accepting a arguments of type const std::valarray& should also accept the replacement type.
  • All functions accepting two arguments of type const std::valarray& should accept every combination of const 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.

[edit] 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
}

[edit] Example

This example demonstrates the Euler's identity e
= -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)

[edit] See also

returns e raised to the given power (ex)
(function) [edit]
complex base e exponential
(function template) [edit]