A third order tensor
The tensor3 class defines a fourth tensor where indices varie from zero to 2 (aka 3D physical space).
template<class T> class tensor3_basic { public: typedef size_t size_type; typedef T element_type; typedef T float_type; // allocators: tensor3_basic (const T& init_val = 0); tensor3_basic (const tensor3_basic<T>& a); // affectation: tensor3_basic<T>& operator= (const tensor3_basic<T>& a); tensor3_basic<T>& operator= (const T& val); // accessors: T& operator()(size_type i, size_type j, size_type k); const T& operator()(size_type i, size_type j, size_type k) const; // algebra tensor3_basic<T>& operator*= (const T& k); tensor3_basic<T>& operator/= (const T& k) { return operator*= (1./k); } tensor_basic<T> operator* (const point_basic<T>& v) const; tensor3_basic<T> operator* (const tensor_basic<T>& b) const; tensor3_basic<T> operator+ (const tensor3_basic<T>& b) const; // data: protected: T _x [3][3][3]; }; typedef tensor3_basic<Float> tensor3;