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std::cosh(std::valarray)

From cppreference.com
< cpp‎ | numeric‎ | valarray
 
 
 
 
Defined in header <valarray>
template< class T >
valarray<T> cosh( const valarray<T>& va );

For each element in va computes hyperbolic cosine of the value of the element.

Contents

[edit] Parameters

va - value array to apply the operation to

[edit] Return value

Value array containing hyperbolic cosine of the values in va.

[edit] Notes

Unqualified function (cosh) is used to perform the computation. If such function is not available, std::cosh 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> cosh(const valarray<T>& va)
{
    valarray<T> other = va;
    for (T& i : other)
        i = cosh(i);
 
    return other; // proxy object may be returned
}

[edit] Example

#include <cmath>
#include <iomanip>
#include <iostream>
#include <valarray>
 
void show(const char* title, const std::valarray<float>& data)
{
    const int w{9};
    std::cout << std::setw(w) << title << " | ";
    for (float x : data)
        std::cout << std::setw(w) << x << " | ";
    std::cout << '\n';
}
 
int main()
{
    const std::valarray<float> x{.1, .2, .3, .4};
    const auto sinh = std::sinh(x);
    const auto cosh = std::cosh(x);
    const auto z = (cosh * cosh) - (sinh * sinh);
 
    show("x", x);
    show("sinh(x)", sinh);
    show("cosh(x)", cosh);
    show("z", z);
}

Output:

        x |       0.1 |       0.2 |       0.3 |       0.4 | 
  sinh(x) |  0.100167 |  0.201336 |   0.30452 |  0.410752 | 
  cosh(x) |     1.005 |   1.02007 |   1.04534 |   1.08107 | 
        z |         1 |         1 |         1 |         1 |

[edit] See also

applies the function std::sinh to each element of valarray
(function template) [edit]
applies the function std::tanh to each element of valarray
(function template) [edit]
(C++11)(C++11)
computes hyperbolic cosine (cosh(x))
(function) [edit]
computes hyperbolic cosine of a complex number (cosh(z))
(function template) [edit]