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std::atan(std::valarray)

From cppreference.com
< cpp‎ | numeric‎ | valarray
 
 
Numerics library
 
std::valarray
 
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.

[edit] Parameters

va - value array to apply the operation to

[edit] Return value

Value array containing arc tangents of the values in va.

[edit] 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:

[edit] 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
}

[edit] 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

[edit] See also

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