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std::cosh(std::valarray)

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

[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

Run this code
#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 (\({\small\cosh{x}}\)cosh(x))
(function) [edit]
computes hyperbolic cosine of a complex number (\({\small\cosh{z}}\)cosh(z))
(function template) [edit]
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