std::atan(std::valarray)(3)

NAME
std::atan(std::valarray) - std::atan(std::valarray)

Synopsis
   Defined in header <valarray>
   template< class T >
   valarray<T> atan( const valarray<T>& va );
   For each element in va computes arc tangent of the value of the element.

Parameters
   va - value array to apply the operation to

Return value
   Value array containing arc tangents of the values in va.

Notes
   Unqualified function (atan) is used to perform the computation. If such function is
   not available, std::atan 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 an argument of type const std::valarray&
                except begin() and end()
                (since C++11) 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.

Possible implementation
   template< class T >
   valarray<T> atan( const valarray<T>& va )
   {
       valarray<T> other = va;
       for (T &i : other) {
           i = atan(i);
       }
       return other; // proxy object may be returned
   }

Example
// Run this code
 #include <algorithm>
 #include <cmath>
 #include <iostream>
 #include <valarray>
 auto show = [](char const* title, const std::valarray<float>& va) {
     std::cout << title << " :";
     std::for_each(std::begin(va), std::end(va),
         [](const float x) { std::cout << " " << std::fixed << x; });
     std::cout << '\n';
 };
 int main()
 {
     const std::valarray<float> x = {.1f, .3f, .6f, .9f};
     const std::valarray<float> f = std::atan(x);
     const std::valarray<float> g = std::tan(f);
     show("x ", x);
     show("f = atan(x)", f);
     show("g = tan(f) ", g);
 }

Output:
 x : 0.100000 0.300000 0.600000 0.900000
 f = atan(x) : 0.099669 0.291457 0.540420 0.732815
 g = tan(f) : 0.100000 0.300000 0.600000 0.900000

See also
   asin(std::valarray) applies the function std::asin to each element of valarray
                        (function template)
   acos(std::valarray) applies the function std::acos to each element of valarray
                        (function template)
   atan2(std::valarray) applies the function std::atan2 to a valarray and a value
                        (function template)
   tan(std::valarray) applies the function std::tan to each element of valarray
                        (function template)
   atan
   atanf computes arc tangent (\({\small\arctan{x} }\)arctan(x))
   atanl (function)
   (C++11)
   (C++11)
   atan(std::complex) computes arc tangent of a complex number (\({\small\arctan{z}
   (C++11) }\)arctan(z))
                        (function template)