std::sinh(std::valarray)

 

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std::valarray

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valarray::valarray valarray::~valarray valarray::operator= valarray::operator[]   valarray::swap valarray::size valarray::resize valarray::sum valarray::min valarray::max valarray::shift valarray::cshift valarray::apply	valarray::operator+valarray::operator-valarray::operator~valarray::operator! valarray::operator+=valarray::operator-=valarray::operator*=valarray::operator/=valarray::operator%=valarray::operator&=valarray::operator|=valarray::operator^=valarray::operator<<=valarray::operator>>=
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swap (C++11) begin (C++11) end (C++11) abs exp log log10 pow sqrt sin cos tan asin acos atan atan2 sinh cosh tanh	operator*operator/operator%operator+operator-operator^operator&operator|operator<<operator>>operator&&operator|| operator==operator!=operator<operator>operator<=operator>=
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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:

• All const member functions of std::valarray are provided.
• std::valarray, std::slice_array, std::gslice_array, std::mask_array and std::indirect_array can be constructed from the replacement type.
• All functions accepting an argument of type const std::valarray& except begin() and end() (since C++11) should also accept the replacement type.
• All functions accepting two arguments of type const std::valarray& should accept every combination of const std::valarray& and the replacement type.
• The return type does not add more than two levels of template nesting over the most deeply-nested argument type.

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

Run this code

#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

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