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Util::_InnerProductSpace< Element > Class Template Reference

#include <algebra.h>

Inheritance diagram for Util::_InnerProductSpace< Element >:
Util::InnerProductSpace< Matrix< Rows, Cols > > Util::InnerProductSpace< Matrix< Dim, Dim > > Util::InnerProductSpace< Point< Dim > > Util::InnerProductSpace< Element > Util::Matrix< Rows, Cols > Util::Matrix< Dim, Dim > Util::Point< 3 > Util::Point< Dim >

Public Member Functions

double squareNorm (void) const
 
double length (void) const
 
Element unit (void) const
 

Static Public Member Functions

static double Dot (const Element &e1, const Element &e2)
 
static double SquareNorm (const Element &e)
 
static double Length (const Element &e)
 
static double SquareDistance (const Element &e1, const Element &e2)
 
static double Distance (const Element &e1, const Element &e2)
 

Detailed Description

template<class Element>
class Util::_InnerProductSpace< Element >

This templated class fills in the inner-product space methods for the class Element It assumes the following operations are well defined for const Element &e and const Element &f: double dot = e.dot( f );

Member Function Documentation

◆ Distance()

template<class Element >
static double Util::_InnerProductSpace< Element >::Distance ( const Element &  e1,
const Element &  e2 
)
inlinestatic

This static method returns the L2-distance between two elements

◆ Dot()

template<class Element >
static double Util::_InnerProductSpace< Element >::Dot ( const Element &  e1,
const Element &  e2 
)
inlinestatic

This static method returns the dot-product of two elements

◆ Length()

template<class Element >
static double Util::_InnerProductSpace< Element >::Length ( const Element &  e)
inlinestatic

This static method returns the L2-norm of an element

◆ length()

template<class Element >
double Util::_InnerProductSpace< Element >::length ( void  ) const
inline

This method returns L2-norm of an element

◆ SquareDistance()

template<class Element >
static double Util::_InnerProductSpace< Element >::SquareDistance ( const Element &  e1,
const Element &  e2 
)
inlinestatic

This static method returns (squared) L2-distance between two elements

◆ SquareNorm()

template<class Element >
static double Util::_InnerProductSpace< Element >::SquareNorm ( const Element &  e)
inlinestatic

This static method returns the (squared) L2-norm of an element

◆ squareNorm()

template<class Element >
double Util::_InnerProductSpace< Element >::squareNorm ( void  ) const
inline

This method returns the (squared) L2-norm of an element

◆ unit()

template<class Element >
Element Util::_InnerProductSpace< Element >::unit ( void  ) const
inline

This method returns the normalized element

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