std::sinh(std::valarray)

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

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

Parameters

va - value array to apply the operation to

Return value

Value array containing hyperbolic sine of the values in va.

Notes

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

Example

#include <cmath>
#include <iomanip>
#include <iostream>
#include <valarray>
#include <complex>
 
template<typename T>
void show(char const* title, const std::valarray<T>& va)
{
    std::cout << title << " : " << std::right;
    for (T x : va) {
        std::cout << std::fixed << x << " ";
    }
    std::cout << '\n';
}
 
template<typename T>
void sinh_for(std::valarray<T> const& z)
{
    // Hyperbolic sine is sinh(z) = (eᶻ - e⁻ᶻ) / 2.
 
    const std::valarray<T> sinh_z { std::sinh(z) };
    const std::valarray<T> e_z { std::exp(z) };
    const std::valarray<T> e_neg_z { std::exp(-z) };
    const std::valarray<T> sinh_def { (e_z - e_neg_z) / 2.0f };
 
    show("n         ", z);
    show("sinh(n)   ", sinh_z);
    show("(eⁿ-e⁻ⁿ)/2", sinh_def);
 
    std::cout.put('\n');
}
 
int main()
{
    sinh_for(std::valarray<float>{ -.2f, -.1f, 0.f, .1f, .2f, INFINITY });
    sinh_for(std::valarray<std::complex<double>>{ {-.2,-.1}, {.2,.1} });
}

Output:

n          : -0.200000 -0.100000 0.000000 0.100000 0.200000 inf 
sinh(n)    : -0.201336 -0.100167 0.000000 0.100167 0.201336 inf 
(eⁿ-e⁻ⁿ)/2 : -0.201336 -0.100167 0.000000 0.100167 0.201336 inf 
 
n          : (-0.200000,-0.100000) (0.200000,0.100000) 
sinh(n)    : (-0.200330,-0.101837) (0.200330,0.101837) 
(eⁿ-e⁻ⁿ)/2 : (-0.200330,-0.101837) (0.200330,0.101837)

See also

applies the function std::cosh 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 sine (sinh(x))
(function)
computes hyperbolic sine of a complex number (sinh(z))
(function template)