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std::cosh(std::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.

Parameters

va - value array to apply the operation to

Return value

Value array containing hyperbolic cosine of the values in va.

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:

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
}

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 |

See also

applies the function std::sinh to each element of valarray
(function template)
applies the function std::tanh to each element of valarray
(function template)
(C++11)(C++11)
computes hyperbolic cosine (\({\small\cosh{x} }\)cosh(x))
(function)
computes hyperbolic cosine of a complex number (\({\small\cosh{z} }\)cosh(z))
(function template)

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https://en.cppreference.com/w/cpp/numeric/valarray/cosh