std:: log10 (std::valarray)

For each element in va computes common (base 10) logarithm of the value of the element.

Parameters

Return value

Value array containing common logarithms of the values in va .

Notes

Unqualified function ( log10 ) is used to perform the computation. If such function is not available, std:: log10 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> log10(const valarray<T>& va)
{
    valarray<T> other = va;
    for (T& i : other)
        i = log10(i);
 
    return other; // proxy object may be returned
}

Example

#include <cmath>
#include <iomanip>
#include <iostream>
#include <valarray>
 
void show(char const* title, const std::valarray<float>& va)
{
    std::cout << title << " : " << std::right;
    for (float x : va)
        std::cout << std::setw(6) << x;
    std::cout << '\n';
}
 
int main()
{
    const std::valarray<float> n{-2.f, -1.f, 0.f, 1.f, 2.f, 3.f, INFINITY};
    const std::valarray<float> pow10{std::pow(10.f, n)};
    const std::valarray<float> log10_pow10{std::log10(pow10)};
 
    show("n      ", n);
    show("10ⁿ    ", pow10);
    show("lg(10ⁿ)", log10_pow10);
}

n       :     -2    -1     0     1     2     3   inf
10ⁿ     :   0.01   0.1     1    10   100  1000   inf
lg(10ⁿ) :     -2    -1     0     1     2     3   inf

See also