std:: pow (std::valarray)

From cppreference.com
Defined in header <valarray>
template < class T >
std:: valarray < T > pow ( const std:: valarray < T > & base, const std:: valarray < T > & exp ) ;
(1)
template < class T >

std:: valarray < T > pow ( const std:: valarray < T > & base,

const typename std:: valarray < T > :: value_type & vexp ) ;
(2)
template < class T >

std:: valarray < T > pow ( const typename std:: valarray < T > :: value_type & vbase,

const std:: valarray < T > & exp ) ;
(3)

Raises a value to a power.

1) Computes the values of each element in the numeric array base raised to the power specified by the corresponding element from the numeric array exp .

The behavior is undefined if base. size ( ) ! = exp. size ( ) .

2) Computes the values of each element in the numeric array base raised to the power vexp .
3) Computes the values of vbase raised to the power defined by the elements in the numeric array exp .

Parameters

base - numeric array containing the values of the base
exp - numeric array containing the values of the exponent
vbase - a value defining the base
vexp - a value defining the exponent

Return value

A numeric array containing the results of exponentiation.

Notes

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

Example

#include <cmath>
#include <cstddef>
#include <iomanip>
#include <iostream>
#include <valarray>
 
class show
{
    friend std::ostream& operator<<(std::ostream& os, show const& r)
    {
        constexpr char const* sup[]
        {
            "\u2070", "\u00B9", "\u00B2", "\u00B3", "\u2074",
            "\u2075", "\u2076", "\u2077", "\u2078", "\u2079"
        };
 
        for (std::size_t n = 0; n != r.bases.size(); ++n)
        {
            os << std::left << r.bases[n] << std::left;
            if (n < r.exponents.size())
                os << sup[r.exponents[n] % 10] << ' ';
            else
                os << "  ";
        }
 
        if (r.results.size() != 0)
        {
            os << '=';
            for (std::size_t n = 0; n != r.results.size(); ++n)
                os << ' ' << r.results[n];
        }
 
        return os << '\n';
    }
 
public:
    std::valarray<int> bases{}, exponents{}, results{};
};
 
int main()
{
    constexpr int base{2};
    constexpr int exponent{5};
    const std::valarray<int> bases{1, 2, 3, 4, 5, 6, 7};
    const std::valarray<int> exponents{0, 1, 2, 3, 4, 5, 6};
    const std::valarray<int> powers1 = std::pow(bases, exponents);
    const std::valarray<int> powers2 = std::pow(bases, exponent);
    const std::valarray<int> powers3 = std::pow(base, exponents);
 
    std::cout
        << "pow(const std::valarray<T>& base, const std::valarray<T>& exp); (1)\n"
        << "base : " << show{bases}
        << "exp  : " << show{exponents}
        << "pow  : " << show{bases, exponents, powers1}
        << '\n'
        << "pow(const std::valarray<T>& base, const value_type& vexp); (2)\n"
        << "base : " << show{bases}
        << "vexp : " << exponent << '\n'
        << "pow  : " << show{bases, std::valarray<int>(exponent, bases.size()), powers2}
        << '\n'
        << "pow(const value_type& vbase, const std::valarray<T>& exp); (3)\n"
        << "vbase: " << base << '\n'
        << "exp  : " << show{exponents}
        << "pow  : " << show{std::valarray<int>(base, bases.size()), exponents, powers3};
}

Output:

pow(const std::valarray<T>& base, const std::valarray<T>& exp); (1)
base : 1  2  3  4  5  6  7
exp  : 0  1  2  3  4  5  6
pow  : 1⁰ 2¹ 3² 4³ 5⁴ 6⁵ 7⁶ = 1 2 9 64 625 7776 117649
 
pow(const std::valarray<T>& base, const value_type& vexp); (2)
base : 1  2  3  4  5  6  7
vexp : 5
pow  : 1⁵ 2⁵ 3⁵ 4⁵ 5⁵ 6⁵ 7⁵ = 1 32 243 1024 3125 7776 16807
 
pow(const value_type& vbase, const std::valarray<T>& exp); (3)
vbase: 2
exp  : 0  1  2  3  4  5  6
pow  : 2⁰ 2¹ 2² 2³ 2⁴ 2⁵ 2⁶ = 1 2 4 8 16 32 64

Defect reports

The following behavior-changing defect reports were applied retroactively to previously published C++ standards.

DR Applied to Behavior as published Correct behavior
LWG 3074 C++98 T is deduced from both the scalar and the valarray for (2,3) , disallowing mixed-type calls only deduce T from the valarray

See also

applies the function std::sqrt to each element of valarray
(function template)
(C++11) (C++11)
raises a number to the given power ( x y )
(function)
complex power, one or both arguments may be a complex number
(function template)