Add member functions and member variables based on template argument
For each n > 0
, we add a new member function taking that value as an argument that inherits from the next level down:
template<int n, typename Real=double>
class f
: public f<n-1, Real>
{
public:
f() { /* initialize dv */ }
using f<n-1, Real>::prime;
Real prime(Real x, integral_constant<int, n>) {
/* find appropriate index for x, and interpolate on dv */
}
protected:
std::vector<Real> dv;
};
Where the base version adds the operator()
:
template<typename Real=double>
class f<0, Real>
{
public:
f() { /* initialize v */ }
Real operator()(Real x) { /* find appropriate index for x, and interpolate */}
Real prime(Real x) { return (*this)(x); }
protected:
std::vector<Real> v;
};
This means that the first derivative calls prime(x, integral_constant<int, 1>{})
, the second derivative calls prime(x, integral_constant<int, 2>{})
, etc.