euclidian.hpp

#pragma once

#include "vector.hpp"
#include "matrix.hpp"

namespace rt{

class euclidian{
public:
    euclidian(const vector & origin, const vector & u);

    inline const vector & direction() const{
        return _u;
    }

    inline const vector & u() const{
        return _u;
    }

    inline const vector & origin() const{
        return _origin;
    }

    friend euclidian operator*(const matrix &, const euclidian &);

private:
    vector _u;
    vector _origin;
};

inline euclidian operator*(const matrix & m, const euclidian & e){
    vector pos = m*e.origin();
    return euclidian(pos, m*(e.origin()+e.u()) - pos);
}

}