std:: asin (std::valarray)

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

Parameters

Return value

Value array containing arc sines of the values in va .

Notes

Unqualified function ( asin ) is used to perform the computation. If such function is not available, std:: asin 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.

Possible implementation

template<class T>
valarray<T> asin(const valarray<T>& va)
{
    valarray<T> other = va;
    for (T& i : other)
        i = asin(i);
 
    return other; // proxy object may be returned
}

Example

#include <cmath>
#include <iostream>
#include <numbers>
#include <valarray>
 
int main()
{
    // take common y-values from unit circle
    const double s22 = std::sqrt(2.0) / 2.0;
    const double s32 = std::sqrt(3.0) / 2.0;
    const std::valarray<double> v1 =
        {-1.0, -s32, -s22, -0.5,  0.0,  0.5, s22,  s32,  1.0};
 
    // fill with results of radians to degrees conversion
    const std::valarray<double> v2 = 
        std::asin(v1) * 180.0 / std::numbers::pi;
 
    for (std::cout << std::showpos; double n : v2)
        std::cout << n << "° ";
    std::cout << '\n';
}

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See also