hermite.h

#pragma once
 
#include "fvec.h"
#include "fmat.h"
#include "interpolate.h"
#include "parametric_curve.h"
 
namespace cgv {
namespace math {
 
template<typename T>
struct hermite_node {
    T val; // the point value (e.g. position)
    T tan; // the tangent
};
 
template<typename PointT>
struct cubic_hermite_curve : public parametric_curve<cubic_hermite_curve<PointT>> {
    hermite_node<PointT> n0;
    hermite_node<PointT> n1;
 
    cubic_hermite_curve() {}
    cubic_hermite_curve(const PointT& p0, const PointT& m0, const PointT& p1, const PointT& m1) : n0{ p1, m0 }, n1{ p1, m1 } {}
    cubic_hermite_curve(const hermite_node<PointT>& n0, const hermite_node<PointT>& n1) : n0(n0), n1(n1) {}
 
    template<typename ParamT = float>
    PointT evaluate(ParamT t) const {
        return interpolate_cubic_hermite(n0.val, n0.tan, n1.val, n1.tan, t);
    }
};
 
} // namespace math
} // namespace cgv