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std::asin(std::valarray)

Defined in header <valarray>
template< class T >
valarray<T> asin( const valarray<T>& va );

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

Parameters

va - value array to apply the operation to

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:

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 <numbers>
#include <iostream>
#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';
}

Output:

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

See also

applies the function std::acos to each element of valarray
(function template)
applies the function std::atan to each element of valarray
(function template)
applies the function std::atan2 to a valarray and a value
(function template)
applies the function std::sin to each element of valarray
(function template)
(C++11)(C++11)
computes arc sine (\({\small\arcsin{x} }\)arcsin(x))
(function)
(C++11)
computes arc sine of a complex number (\({\small\arcsin{z} }\)arcsin(z))
(function template)

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