Double comparison with configurable precision in C++

DoubleEquals.h

#ifndef DOUBLEEQUALS_H
#define DOUBLEEQUALS_H

#include <cmath>

class DoubleEquals
{
private:
    static constexpr int defaultPrecision = 8;

    static constexpr double get_precision(int n)
    {
        return n == 0 ? 1.0 : 0.1 * get_precision(n - 1);
    }

public:
    template<int N>
    static bool ComparePrecision(double a, double b)
    {
        constexpr double precision = get_precision(N);
        return std::fabs(a - b) < precision;
    }

    static auto constexpr Compare = &ComparePrecision<defaultPrecision>;
};


#endif //DOUBLEEQUALS_H

Usage.cpp

#include "DoubleEquals.h"

int main(void)
{
    double a = 0.1;
    double b = 0.1000000001;
    
    if (DoubleEquals::Compare(a, b))
    {
        // Should be true
    }
    
    if (DoubleEquals::ComparePrecision<12>(a, b))
    {
        // Should be false
    }
    
    return 0;
}