norm< T > Struct Template Reference

Inheritance diagram for norm< T >:

Collaboration diagram for norm< T >:

Public Types
typedef exprtk::igeneric_function< T >	igfun_t
typedef igfun_t::parameter_list_t	parameter_list_t
typedef igfun_t::generic_type	generic_type
typedef generic_type::scalar_view	scalar_t
typedef generic_type::vector_view	vector_t
Public Types inherited from exprtk::igeneric_function< T >
enum	return_type { e_rtrn_scalar = 0 , e_rtrn_string = 1 , e_rtrn_overload = 2 }
typedef T	type
typedef type_store< T >	generic_type
typedef generic_type::parameter_list	parameter_list_t

Public Member Functions
	norm ()
T	operator() (const std::size_t &ps_index, parameter_list_t parameters)
template<unsigned int Pow>
T	norm_impl (const vector_t &vector, const std::size_t r0, const std::size_t r1)
T	norm_impl (const vector_t &vector, unsigned int pow, const std::size_t r0, const std::size_t r1)
Public Member Functions inherited from exprtk::igeneric_function< T >
	igeneric_function (const std::string &param_seq="", const return_type rtr_type=e_rtrn_scalar)
virtual	~igeneric_function ()
virtual T	operator() (parameter_list_t)
virtual T	operator() (std::string &, parameter_list_t)
virtual T	operator() (const std::size_t &, std::string &, parameter_list_t)
Public Member Functions inherited from exprtk::function_traits
	function_traits ()
bool &	allow_zero_parameters ()
bool &	has_side_effects ()
std::size_t &	min_num_args ()
std::size_t &	max_num_args ()

Additional Inherited Members
Public Attributes inherited from exprtk::igeneric_function< T >
std::string	parameter_sequence
return_type	rtrn_type

Detailed Description

template<typename T>
struct norm< T >

Definition at line 29 of file exprtk_vectornorm.cpp.

Member Typedef Documentation

generic_type

template<typename T >

typedef igfun_t::generic_type norm< T >::generic_type

Definition at line 33 of file exprtk_vectornorm.cpp.

igfun_t

template<typename T >

typedef exprtk::igeneric_function<T> norm< T >::igfun_t

Definition at line 31 of file exprtk_vectornorm.cpp.

parameter_list_t

template<typename T >

typedef igfun_t::parameter_list_t norm< T >::parameter_list_t

Definition at line 32 of file exprtk_vectornorm.cpp.

scalar_t

template<typename T >

typedef generic_type::scalar_view norm< T >::scalar_t

Definition at line 34 of file exprtk_vectornorm.cpp.

vector_t

template<typename T >

typedef generic_type::vector_view norm< T >::vector_t

Definition at line 35 of file exprtk_vectornorm.cpp.

Constructor & Destructor Documentation

norm()

template<typename T >

norm< T >::norm ( )

inline

Definition at line 39 of file exprtk_vectornorm.cpp.

   : exprtk::igeneric_function<T>("V|VTT|VT|VTTT")
     /*
        Overloads:
        0. V    - vector
        1. VTT  - vector, r0, r1
        2. VT   - vector, l-power
        3. VTTT - vector, l-power, r0, r1
     */
   {}

Member Function Documentation

norm_impl() [1/2]

template<typename T >

template<unsigned int Pow>

T norm< T >::norm_impl ( const vector_t &  vector, const std::size_t  r0, const std::size_t  r1  )

inline

Definition at line 98 of file exprtk_vectornorm.cpp.

   {
      T sum = T(0);
 
      for (std::size_t i = r0; i <= r1; ++i)
      {
         sum += exprtk::details::numeric::fast_exp<T,Pow>::result(std::abs(vector[i]));
      }
 
      switch (Pow)
      {
         case 1  : return sum;
         case 2  : return exprtk::details::numeric::sqrt(sum);
         default : return exprtk::details::numeric::pow(sum, T(1) / Pow);
      }
   }

References exprtk::details::numeric::pow(), exprtk::details::numeric::fast_exp< T, N >::result(), and exprtk::details::numeric::sqrt().

Referenced by norm< T >::operator()().

Here is the call graph for this function:

Here is the caller graph for this function:

norm_impl() [2/2]

template<typename T >

T norm< T >::norm_impl ( const vector_t &  vector, unsigned int  pow, const std::size_t  r0, const std::size_t  r1  )

inline

Definition at line 115 of file exprtk_vectornorm.cpp.

   {
      T sum = T(0);
 
      for (std::size_t i = r0; i <= r1; ++i)
      {
         sum += exprtk::details::numeric::pow(std::abs(vector[i]),T(pow));
      }
 
      return exprtk::details::numeric::pow(sum,T(1) / pow);
   }

References exprtk::details::numeric::pow().

Here is the call graph for this function:

operator()()

template<typename T >

T norm< T >::operator() ( const std::size_t &  ps_index, parameter_list_t  parameters  )

inlinevirtual

Reimplemented from exprtk::igeneric_function< T >.

Definition at line 50 of file exprtk_vectornorm.cpp.

   {
      unsigned int l = 2;
 
      // Determine the l-power
      if (
           (2 == ps_index) ||
           (3 == ps_index)
         )
      {
         if (!scalar_t(parameters[1]).to_uint(l))
            return std::numeric_limits<T>::quiet_NaN();
      }
 
      const vector_t vec(parameters[0]);
 
      std::size_t r0 = 0;
      std::size_t r1 = vec.size() - 1;
 
      // Determine the range over the vector
      if (
           (1 == ps_index) ||
           (3 == ps_index)
         )
      {
         if (!scalar_t(parameters[(1 == ps_index) ? 1 : 2]).to_uint(r0))
            return std::numeric_limits<T>::quiet_NaN();
 
         if (!scalar_t(parameters[(1 == ps_index) ? 2 : 3]).to_uint(r1))
            return std::numeric_limits<T>::quiet_NaN();
      }
 
      switch (l)
      {
         #define norm_def(N) case  N : return norm_impl<N>(vec,r0,r1);
         norm_def( 1) norm_def( 2) norm_def( 3) norm_def( 4)
         norm_def( 5) norm_def( 6) norm_def( 7) norm_def( 8)
         norm_def( 9) norm_def(10) norm_def(11) norm_def(12)
         norm_def(13) norm_def(14) norm_def(15) norm_def(16)
         norm_def(17) norm_def(18) norm_def(19) norm_def(20)
         norm_def(21) norm_def(22) norm_def(23) norm_def(24)
         norm_def(25) norm_def(26) norm_def(27) norm_def(28)
         norm_def(29) norm_def(30) norm_def(31) norm_def(32)
         default : return norm_impl(vec,l,r0,r1);
      }
   }

References norm_def, norm< T >::norm_impl(), and exprtk::type_store< T >::type_view< ViewType >::size().

Here is the call graph for this function:

---

The documentation for this struct was generated from the following file:

• exprtk/exprtk_vectornorm.cpp