std::sinh(std::valarray)
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std::valarray
Defined in header
<valarray>
template< class T >
valarray<T> sinh( const valarray<T>& va );
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:
- 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.
- For every function taking a const std::valarray <T>& except begin() and end() (since C++11), identical functions taking the replacement types shall be added;
- For every function taking two const std::valarray <T>& arguments, identical functions taking every combination of const std::valarray <T>& and replacement types shall be added.
- The return type does not add more than two levels of template nesting over the most deeply-nested argument type.
[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
computes hyperbolic sine of a complex number (\({\small\sinh{z}}\)sinh(z))
(function template) [edit]
(function template) [edit]
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