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Difference between revisions of "cpp/numeric/valarray/atan"

From cppreference.com
< cpp‎ | numeric‎ | valarray
m (Shorten template names. Use {{lc}} where appropriate.)
m (fmt, headers sorted, langlinks)
 
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{{cpp/title|atan{{small|(std::valarray)}}}}
 
{{cpp/title|atan{{small|(std::valarray)}}}}
 
{{cpp/numeric/valarray/navbar}}
 
{{cpp/numeric/valarray/navbar}}
{{ddcl | header=valarray | 1=
+
{{ddcl|header=valarray|1=
 
template< class T >
 
template< class T >
 
valarray<T> atan( const valarray<T>& va );
 
valarray<T> atan( const valarray<T>& va );
 
}}
 
}}
  
For each element in {{tt|va}} computes arc tangent of the value of the element.  
+
For each element in {{c|va}} computes arc tangent of the value of the element.  
  
 
===Parameters===
 
===Parameters===
 
{{par begin}}
 
{{par begin}}
{{par | va | value array to apply the operation to}}
+
{{par|va|value array to apply the operation to}}
 
{{par end}}
 
{{par end}}
  
 
===Return value===
 
===Return value===
Value array containing arc tangents of the values in {{tt|va}}.
+
Value array containing arc tangents of the values in {{c|va}}.
  
 
===Notes===
 
===Notes===
Line 22: Line 22:
  
 
===Possible implementation===
 
===Possible implementation===
{{eq fun | 1=
+
{{cpp/numeric/valarray/impl|atan}}
template<class T>
+
valarray<T> atan(const valarray<T>& va)
+
{
+
    valarray<T> other = va;
+
    for (T &i : other) {
+
        i = atan(i);
+
    }
+
}
+
}}
+
  
 
===Example===
 
===Example===
 
{{example
 
{{example
 
|code=
 
|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=
 
|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
 
}}
 
}}
  
[[de:cpp/numeric/valarray/atan]]
+
===See also===
[[es:cpp/numeric/valarray/atan]]
+
{{dsc begin}}
[[fr:cpp/numeric/valarray/atan]]
+
{{dsc inc|cpp/numeric/valarray/dsc asin}}
[[it:cpp/numeric/valarray/atan]]
+
{{dsc inc|cpp/numeric/valarray/dsc acos}}
[[ja:cpp/numeric/valarray/atan]]
+
{{dsc inc|cpp/numeric/valarray/dsc atan2}}
[[pt:cpp/numeric/valarray/atan]]
+
{{dsc inc|cpp/numeric/valarray/dsc tan}}
[[ru:cpp/numeric/valarray/atan]]
+
{{dsc inc|cpp/numeric/math/dsc atan}}
[[zh:cpp/numeric/valarray/atan]]
+
{{dsc inc|cpp/numeric/complex/dsc atan}}
 +
{{dsc end}}
 +
 
 +
{{langlinks|de|es|fr|it|ja|pt|ru|zh}}

Latest revision as of 00:19, 17 October 2023

 
 
 
 
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.

Contents

[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

#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 (arctan(x))
(function) [edit]
computes arc tangent of a complex number (arctan(z))
(function template) [edit]