NAME

tensor4 - a fouth order tensor

SYNOPSIS

The tensor4 class defines a fourth tensor where indices varie from zero to 2 (aka 3D physical space).

IMPLEMENTATION

template<class T>
class tensor4_basic {
public:


  typedef size_t size_type;


  typedef T      element_type;


  typedef T      float_type;
// allocators:


  tensor4_basic ();


  explicit tensor4_basic (const T& init_val);


  tensor4_basic (const tensor4_basic<T>& a);


  static tensor4_basic<T> eye (size_type d = 3);
#ifdef _RHEOLEF_HAVE_STD_INITIALIZER_LIST


        tensor4_basic (const std::initializer_list<std::initializer_list<


                             std::initializer_list<std::initializer_list<T> > > >& il);
#endif // _RHEOLEF_HAVE_STD_INITIALIZER_LIST
// affectation:


  tensor4_basic<T>& operator= (const tensor4_basic<T>& a);


  tensor4_basic<T>& operator= (const T& val);
// accessors:


  T&       operator()(size_type i, size_type j, size_type k, size_type l);


  const T& operator()(size_type i, size_type j, size_type k, size_type l) const;


  tensor_basic<T>&  operator()(size_type i, size_type j);


  const tensor_basic<T>& operator()(size_type i, size_type j) const;
// algebra:


  tensor4_basic<T>& operator*= (const T& k);


  tensor4_basic<T>& operator/= (const T& k) { return operator*= (1./k); }


  tensor4_basic<T>  operator* (const T& k) const;


  tensor4_basic<T>  operator/ (const T& k) const;


  tensor4_basic<T>  operator+ (const tensor4_basic<T>& b) const;


  tensor4_basic<T>  operator- (const tensor4_basic<T>& b) const;
// io:


  std::ostream& put (std::ostream& out, size_type d=3) const;
// data:
protected:


  tensor_basic<tensor_basic<T> > _x;
};
typedef tensor4_basic<Float> tensor4;
// nonlinear algebra:
template <class T>
T norm2 (const tensor4_basic<T>&);
template <class T>
T norm (const tensor4_basic<T>& a) { return sqrt(norm2(a)); }
template <class T>
tensor4_basic<T> dexp (const tensor_basic<T>& a, size_t d = 3);
// algebra:
template <class T>
tensor_basic<T> ddot (const tensor4_basic<T>&, const tensor_basic<T>&);
template <class T>
tensor_basic<T> ddot (const tensor_basic<T>&, const tensor4_basic<T>&);

COPYRIGHT

Copyright (C) 2000-2018 Pierre Saramito <Pierre.Saramito@imag.fr> GPLv3+: GNU GPL version 3 or later <http://gnu.org/licenses/gpl.html>. This is free software: you are free to change and redistribute it. There is NO WARRANTY, to the extent permitted by law.