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std::sinh(std::valarray)

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

[edit] Parameters

va - value array to apply the operation to

[edit] Return value

Value array containing hyperbolic sine of the values in va.

[edit] 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:

[edit] 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
}

[edit] Example

Run this code
#include <cmath>
#include <complex>
#include <iomanip>
#include <iostream>
#include <valarray>
 
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)

[edit] See also

applies the function std::cosh 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 sine (\({\small\sinh{x}}\)sinh(x))
(function) [edit]
computes hyperbolic sine of a complex number (\({\small\sinh{z}}\)sinh(z))
(function template) [edit]
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