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std::sqrt(std::valarray)

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

For each element in va computes the square root of the value of the element.

Contents

[edit] Parameters

va - value array to apply the operation to

[edit] Return value

Value array containing square roots of the values in va.

[edit] Notes

Unqualified function (sqrt) is used to perform the computation. If such function is not available, std::sqrt 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 a arguments of type const std::valarray& 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.

[edit] Possible implementation

template<class T>
valarray<T> sqrt(const valarray<T>& va)
{
    valarray<T> other = va;
    for (T &i : other) {
        i = sqrt(i);
    }
    return other;
}

[edit] Example

Finds real roots of multiple quadratic equations.

#include <valarray>
#include <iostream>
 
int main()
{
    std::valarray<double> a(1, 8);
    std::valarray<double> b{1, 2, 3, 4, 5, 6, 7, 8};
    std::valarray<double> c = -b;
    // literals must also be of type T (double in this case)
    std::valarray<double> d = std::sqrt((b * b - 4.0 * a * c));
    std::valarray<double> x1 = (-b - d) / (2.0 * a);
    std::valarray<double> x2 = (-b + d) / (2.0 * a);
    std::cout << "quadratic equation    root 1,  root 2" << "\n";
    for (size_t i = 0; i < a.size(); ++i) {
        std::cout << a[i] << "x\u00B2 + " << b[i] << "x + " << c[i] << " = 0   ";
        std::cout << x1[i] << ", " << x2[i] << "\n";
    }
}

Output:

quadratic equation    root 1,  root 2
1x² + 1x + -1 = 0   -1.61803, 0.618034
1x² + 2x + -2 = 0   -2.73205, 0.732051
1x² + 3x + -3 = 0   -3.79129, 0.791288
1x² + 4x + -4 = 0   -4.82843, 0.828427
1x² + 5x + -5 = 0   -5.8541, 0.854102
1x² + 6x + -6 = 0   -6.87298, 0.872983
1x² + 7x + -7 = 0   -7.88748, 0.887482
1x² + 8x + -8 = 0   -8.89898, 0.898979

[edit] See also

applies the function std::pow to two valarrays or a valarray and a value
(function template) [edit]
computes square root (x)
(function) [edit]
complex square root in the range of the right half-plane
(function template) [edit]