DGtal::GAVector< TSpace, TInputValue > Struct Template Reference

#include <DGtal/images/bijectiveRotations/GAVector.h>

Public Member Functions
	GAVector (const TInputValue &pt=TInputValue(0, 0))
	zero multivector More...
TInputValue::Component	dot (GAVector other) const
	scalar part of the a mv, i.e. compute the dot product part of the geometric product More...
TInputValue::Component	bivectorPart (const GAVector &other) const
	bivector part of the a mv, i.e. compute the outer product part of the geometric product More...
GAVector	operator* (typename TInputValue::Component f) const
	geometric product with a scalar More...
GAVector	operator* (const GAVector &v)
	geometric product between two vectors More...
bool	operator< (const GAVector &other) const
double	angleToXAxis () const
bool	operator== (const GAVector &other) const

Data Fields
TInputValue	my_gavec

Detailed Description

template<typename TSpace, typename TInputValue = typename TSpace::Point>
struct DGtal::GAVector< TSpace, TInputValue >

Definition at line 47 of file GAVector.h.

Constructor & Destructor Documentation

GAVector()

template<typename TSpace , typename TInputValue = typename TSpace::Point>

DGtal::GAVector< TSpace, TInputValue >::GAVector ( const TInputValue &  pt = TInputValue(0,0) )

inlineexplicit

zero multivector

Definition at line 51 of file GAVector.h.

          : my_gavec( pt ) {}

Referenced by DGtal::GAVector< TSpace, TInputValue >::operator*().

Member Function Documentation

angleToXAxis()

template<typename TSpace , typename TInputValue = typename TSpace::Point>

double DGtal::GAVector< TSpace, TInputValue >::angleToXAxis ( ) const

inline

Definition at line 82 of file GAVector.h.

        {
            return atan2( my_gavec[1], my_gavec[0] );
        }

References DGtal::GAVector< TSpace, TInputValue >::my_gavec.

Referenced by DGtal::NBijectiveGenerator< TSpace, TInputValue >::displayNormalVectorsAndAngles().

bivectorPart()

template<typename TSpace , typename TInputValue = typename TSpace::Point>

TInputValue::Component DGtal::GAVector< TSpace, TInputValue >::bivectorPart ( const GAVector< TSpace, TInputValue > &  other ) const

inline

bivector part of the a mv, i.e. compute the outer product part of the geometric product

Definition at line 61 of file GAVector.h.

        {
            return my_gavec[0] * other.my_gavec[1] - my_gavec[1] * other.my_gavec[0];
        }

References DGtal::GAVector< TSpace, TInputValue >::my_gavec.

Referenced by DGtal::GAVector< TSpace, TInputValue >::operator*(), DGtal::GAVector< TSpace, TInputValue >::operator<(), and DGtal::GAVector< TSpace, TInputValue >::operator==().

dot()

template<typename TSpace , typename TInputValue = typename TSpace::Point>

TInputValue::Component DGtal::GAVector< TSpace, TInputValue >::dot ( GAVector< TSpace, TInputValue >  other ) const

inline

scalar part of the a mv, i.e. compute the dot product part of the geometric product

Definition at line 55 of file GAVector.h.

        {
            return my_gavec[0] * other.my_gavec[0] + my_gavec[1] * other.my_gavec[1];
        }

References DGtal::GAVector< TSpace, TInputValue >::my_gavec.

Referenced by DGtal::GAVector< TSpace, TInputValue >::operator*().

operator*() [1/2]

template<typename TSpace , typename TInputValue = typename TSpace::Point>

GAVector DGtal::GAVector< TSpace, TInputValue >::operator* ( const GAVector< TSpace, TInputValue > &  v )

inline

geometric product between two vectors

Definition at line 73 of file GAVector.h.

        {
            return GAVector( TInputValue(this->dot(v), this->bivectorPart(v)) );
        }

References DGtal::GAVector< TSpace, TInputValue >::bivectorPart(), DGtal::GAVector< TSpace, TInputValue >::dot(), and DGtal::GAVector< TSpace, TInputValue >::GAVector().

operator*() [2/2]

template<typename TSpace , typename TInputValue = typename TSpace::Point>

GAVector DGtal::GAVector< TSpace, TInputValue >::operator* ( typename TInputValue::Component  f ) const

inline

geometric product with a scalar

Definition at line 67 of file GAVector.h.

        {
            return GAVector( TInputValue(my_gavec[0] * f, my_gavec[1] * f) );
        }

References DGtal::GAVector< TSpace, TInputValue >::GAVector(), and DGtal::GAVector< TSpace, TInputValue >::my_gavec.

operator<()

template<typename TSpace , typename TInputValue = typename TSpace::Point>

bool DGtal::GAVector< TSpace, TInputValue >::operator< ( const GAVector< TSpace, TInputValue > &  other ) const

inline

Definition at line 77 of file GAVector.h.

        {
            return bivectorPart( other ) > 0;
        }

References DGtal::GAVector< TSpace, TInputValue >::bivectorPart().

operator==()

template<typename TSpace , typename TInputValue = typename TSpace::Point>

bool DGtal::GAVector< TSpace, TInputValue >::operator== ( const GAVector< TSpace, TInputValue > &  other ) const

inline

Definition at line 87 of file GAVector.h.

        {
            return bivectorPart( other ) == 0;
        }

References DGtal::GAVector< TSpace, TInputValue >::bivectorPart().

Field Documentation

my_gavec

template<typename TSpace , typename TInputValue = typename TSpace::Point>

TInputValue DGtal::GAVector< TSpace, TInputValue >::my_gavec

Definition at line 48 of file GAVector.h.

Referenced by DGtal::GAVector< TSpace, TInputValue >::angleToXAxis(), DGtal::GAVector< TSpace, TInputValue >::bivectorPart(), DGtal::NBijectiveGenerator< TSpace, TInputValue >::composeBijectiveReflections(), DGtal::GAVector< TSpace, TInputValue >::dot(), and DGtal::GAVector< TSpace, TInputValue >::operator*().

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

• GAVector.h