JMATH::JLegendre< JOrdinate_t, N > Struct Template Reference

Template definition for function evaluation of Legendre polynome. More...

#include <JLegendre.hh>

Inheritance diagram for JMATH::JLegendre< JOrdinate_t, N >:

Public Member Functions
	JLegendre ()
	Default constructor. More...
	JLegendre (const double xmin, const double xmax)
	Constructor. More...
template<class T >
	JLegendre (T __begin, T __end)
	Constructor. More...
template<class T >
void	set (T __begin, T __end)
	Set Legendre polynome. More...

Private Member Functions
void	clear ()
void	resize ()
void	erase ()
void	push_back ()
void	pop_back ()

Friends
std::istream &	operator>> (std::istream &in, JLegendre &object)
	Read Legendre polynome from input. More...

Detailed Description

template<class JOrdinate_t, size_t N = (size_t) -1>
struct JMATH::JLegendre< JOrdinate_t, N >

Template definition for function evaluation of Legendre polynome.

Template specialisation for function evaluation of of Legendre polynome for defined number of degrees.

Definition at line 213 of file JLegendre.hh.

Constructor & Destructor Documentation

template<class JOrdinate_t , size_t N = (size_t) -1>

JMATH::JLegendre< JOrdinate_t, N >::JLegendre ( )

inline

Default constructor.

Definition at line 276 of file JLegendre.hh.

    {
      this->JLegendre<JOrdinate_t>::resize(N+1, getZero<JOrdinate_t>());
    }

template<class JOrdinate_t , size_t N = (size_t) -1>

JMATH::JLegendre< JOrdinate_t, N >::JLegendre ( const double  xmin, const double  xmax  )

inline

Constructor.

Parameters

xmin	minimal abscissa value
xmax	maximal abscissa value

Definition at line 288 of file JLegendre.hh.

    {
      this->JLegendre<JOrdinate_t>::resize(N+1, getZero<JOrdinate_t>());
      this->set(xmin, xmax);
    }

template<class JOrdinate_t , size_t N = (size_t) -1>

template<class T >

JMATH::JLegendre< JOrdinate_t, N >::JLegendre ( T  __begin, T  __end  )

inline

Constructor.

The template argument T refers to an iterator of a data structure which should have the following data members:

• double first; //
• JOrdinate_t second; // which conforms with std::pair.

Parameters

__begin	begin of data
__end	end of data

Definition at line 308 of file JLegendre.hh.

    {
      this->JLegendre<JOrdinate_t>::resize(N+1, getZero<JOrdinate_t>());
      this->set(__begin, __end);
    }

Member Function Documentation

template<class JOrdinate_t , size_t N = (size_t) -1>

template<class T >

void JMATH::JLegendre< JOrdinate_t, N >::set ( T  __begin, T  __end  )

inline

Set Legendre polynome.

The template argument T refers to an iterator of a data structure which should have the following data members:

• double first; //
• JOrdinate_t second; // which conforms with std::pair.

Parameters

__begin	begin of data
__end	end of data

Definition at line 327 of file JLegendre.hh.

    {
      this->reset();
      this->JLegendre<JOrdinate_t>::set(__begin, __end);

      for (size_t n = 0; n != N + 1; ++n) {

        JOrdinate_t V = zero;
        double      W = 0.0;

        for (T i = __begin; i != __end; ++i) {

          const double       x = i->first;
          const JOrdinate_t& y = i->second;
          const double       z = this->getX(x);
          const double       w = legendre(n, z);

          V += w * (y - (*this)(x));
          W += w * (w);
        }

        (*this)[n] = V / W;
      }
    }

template<class JOrdinate_t , size_t N = (size_t) -1>

void JMATH::JLegendre< JOrdinate_t, N >::clear ( )

private

template<class JOrdinate_t , size_t N = (size_t) -1>

void JMATH::JLegendre< JOrdinate_t, N >::resize ( )

private

template<class JOrdinate_t , size_t N = (size_t) -1>

void JMATH::JLegendre< JOrdinate_t, N >::erase ( )

private

template<class JOrdinate_t , size_t N = (size_t) -1>

void JMATH::JLegendre< JOrdinate_t, N >::push_back ( )

private

template<class JOrdinate_t , size_t N = (size_t) -1>

void JMATH::JLegendre< JOrdinate_t, N >::pop_back ( )

private

Friends And Related Function Documentation

template<class JOrdinate_t , size_t N = (size_t) -1>

std::istream& operator>> ( std::istream &  in, JLegendre< JOrdinate_t, N > &  object  )

friend

Read Legendre polynome from input.

Parameters

in	input stream
object	Legendre polynome

Returns

input stream

Definition at line 360 of file JLegendre.hh.

    {
      for (typename JLegendre::iterator i = object.begin(); i != object.end(); ++i) {
        in >> *i;
      }

      return in;
    }

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

• JLegendre.hh