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';
}

-90° -60° -45° -30° +0° +30° +45° +60° +90°

See also