A generic, weakly-typed vector. More...

#include <BaseVector.hpp>

Public Types
using	CoordType = CoordT

Public Member Functions
	BaseVector ()
	Default constructs a null-vector. More...

	BaseVector (const BaseVector &o)

	BaseVector (const CoordT &x, const CoordT &y, const CoordT &z)
	Builds a BaseVector with the given coordinates. More...

BaseVector< CoordT >	cross (const BaseVector &other) const
	Calculates the cross product between this and the given vector. Returns a new BaseVector instance. More...

CoordT	distance (const BaseVector &other) const
	Calculates the distance to another vector. More...

CoordT	distance2 (const BaseVector &other) const
	Calculates the squared distance to another vector. More...

CoordType	distanceFrom (const BaseVector< CoordT > &other) const

CoordT	dot (const BaseVector &other) const
	Calculates the dot product between this and the given vector. More...

CoordT	length () const
	Returns the length of this vector. More...

CoordT	length2 () const
	Returns the squared length of this vector. More...

void	normalize ()

Normal< CoordT >	normalized () const
	Returns a normalized version of this vector. More...

bool	operator!= (const BaseVector &other) const

CoordT	operator* (const BaseVector< CoordType > &other) const

BaseVector< CoordT >	operator* (const CoordT &scale) const
	Scalar multiplication. More...

BaseVector< CoordT > &	operator*= (const CoordT &scale)
	Scalar multiplication. More...

BaseVector< CoordT >	operator+ (const BaseVector &other) const
	Element-wise addition. More...

BaseVector< CoordT > &	operator+= (const BaseVector< CoordT > &other)
	Element-wise addition. More...

BaseVector< CoordT >	operator- (const BaseVector &other) const
	Element-wise subtraction. More...

BaseVector< CoordT > &	operator-= (const BaseVector< CoordT > &other)
	Element-wise subtraction. More...

BaseVector< CoordT >	operator/ (const CoordT &scale) const
	Scalar division. More...

BaseVector< CoordT > &	operator/= (const CoordT &scale)
	Scalar division. More...

bool	operator== (const BaseVector &other) const

CoordT &	operator[] (const unsigned &index)
	Indexed coordinate access (writing) More...

CoordT	operator[] (const unsigned &index) const
	Indexed coordinate access (reading) More...

BaseVector< CoordT >	rotated (const BaseVector &n, const double &alpha) const
	Calculates the rotated vector around an normal vector n with the rotation angle alpha. More...

CoordType	squaredDistanceFrom (const BaseVector< CoordType > &other) const

Static Public Member Functions
template<typename CollectionT >
static BaseVector< CoordT >	average (const CollectionT &vecs)
	Returns the average of all vectors in the given collection. More...

template<typename CollectionT >
static BaseVector< CoordT >	centroid (const CollectionT &points)
	Returns the centroid of all points in the given collection. More...

Public Attributes
CoordT	x

CoordT	y

CoordT	z

Friends
template<typename T , typename S >
BaseVector< T >	operator* (const Eigen::Matrix< S, 4, 4 > &mat, const BaseVector< T > &normal)

Detailed Description

template<typename CoordT>
struct lvr2::BaseVector< CoordT >

A generic, weakly-typed vector.

This vector is weakly-typed as it allows all common operations that can be executed numerically. Instead of this, BaseVector implementations from other libraries could be used. However, they have to provide all the methods and fields that BaseVector defines.

Definition at line 60 of file BaseVector.hpp.

Member Typedef Documentation

◆ CoordType

template<typename CoordT >

using lvr2::BaseVector< CoordT >::CoordType = CoordT

Definition at line 63 of file BaseVector.hpp.

Constructor & Destructor Documentation

◆ BaseVector() [1/3]

template<typename CoordT >

lvr2::BaseVector< CoordT >::BaseVector ( )

inline

Default constructs a null-vector.

Definition at line 70 of file BaseVector.hpp.

◆ BaseVector() [2/3]

template<typename CoordT >

lvr2::BaseVector< CoordT >::BaseVector	(	const CoordT &	x,
		const CoordT &	y,
		const CoordT &	z
	)

inline

Builds a BaseVector with the given coordinates.

Definition at line 73 of file BaseVector.hpp.

◆ BaseVector() [3/3]

template<typename CoordT >

lvr2::BaseVector< CoordT >::BaseVector ( const BaseVector< CoordT > & o )

inline

Definition at line 78 of file BaseVector.hpp.

Member Function Documentation

◆ average()

template<typename CoordT >

template<typename CollectionT >

static BaseVector<CoordT> lvr2::BaseVector< CoordT >::average ( const CollectionT & vecs )

static

Returns the average of all vectors in the given collection.

The collection need to work with a range-based for-loop and its elements need to be Vector<BaseVecT>. It has to contain at least one element.

◆ centroid()

template<typename CoordT >

template<typename CollectionT >

static BaseVector<CoordT> lvr2::BaseVector< CoordT >::centroid ( const CollectionT & points )

static

Returns the centroid of all points in the given collection.

The collection need to work with a range-based for-loop and its elements need to be Point<BaseVecT>. It has to contain at least one element.

◆ cross()

template<typename CoordT >

BaseVector<CoordT> lvr2::BaseVector< CoordT >::cross ( const BaseVector< CoordT > & other ) const

Calculates the cross product between this and the given vector. Returns a new BaseVector instance.

◆ distance()

template<typename CoordT >

CoordT lvr2::BaseVector< CoordT >::distance ( const BaseVector< CoordT > & other ) const

Calculates the distance to another vector.

◆ distance2()

template<typename CoordT >

CoordT lvr2::BaseVector< CoordT >::distance2 ( const BaseVector< CoordT > & other ) const

Calculates the squared distance to another vector.

The squared distance is easier to calculate and sufficient for certain uses cases. This method only exists for performance reasons.

◆ distanceFrom()

template<typename CoordT >

CoordType lvr2::BaseVector< CoordT >::distanceFrom ( const BaseVector< CoordT > & other ) const

◆ dot()

template<typename CoordT >

CoordT lvr2::BaseVector< CoordT >::dot ( const BaseVector< CoordT > & other ) const

Calculates the dot product between this and the given vector.

◆ length()

template<typename CoordT >

CoordT lvr2::BaseVector< CoordT >::length ( ) const

Returns the length of this vector.

◆ length2()

template<typename CoordT >

CoordT lvr2::BaseVector< CoordT >::length2 ( ) const

Returns the squared length of this vector.

The squared length is easier to calculate and sufficient for certain uses cases. This method only exists for performance reasons.

◆ normalize()

template<typename CoordT >

void lvr2::BaseVector< CoordT >::normalize ( )

inline

Definition at line 130 of file BaseVector.hpp.

◆ normalized()

template<typename CoordT >

Normal<CoordT> lvr2::BaseVector< CoordT >::normalized ( ) const

Returns a normalized version of this vector.

Note that this must not be the null vector, or else the behavior is undefined.

◆ operator!=()

template<typename CoordT >

bool lvr2::BaseVector< CoordT >::operator!= ( const BaseVector< CoordT > & other ) const

◆ operator*() [1/2]

template<typename CoordT >

CoordT lvr2::BaseVector< CoordT >::operator* ( const BaseVector< CoordType > & other ) const

◆ operator*() [2/2]

template<typename CoordT >

BaseVector<CoordT> lvr2::BaseVector< CoordT >::operator* ( const CoordT & scale ) const

Scalar multiplication.

◆ operator*=()

template<typename CoordT >

BaseVector<CoordT>& lvr2::BaseVector< CoordT >::operator*= ( const CoordT & scale )

Scalar multiplication.

◆ operator+()

template<typename CoordT >

BaseVector<CoordT> lvr2::BaseVector< CoordT >::operator+ ( const BaseVector< CoordT > & other ) const

Element-wise addition.

◆ operator+=()

template<typename CoordT >

BaseVector<CoordT>& lvr2::BaseVector< CoordT >::operator+= ( const BaseVector< CoordT > & other )

Element-wise addition.

◆ operator-()

template<typename CoordT >

BaseVector<CoordT> lvr2::BaseVector< CoordT >::operator- ( const BaseVector< CoordT > & other ) const

Element-wise subtraction.

◆ operator-=()

template<typename CoordT >

BaseVector<CoordT>& lvr2::BaseVector< CoordT >::operator-= ( const BaseVector< CoordT > & other )

Element-wise subtraction.

◆ operator/()

template<typename CoordT >

BaseVector<CoordT> lvr2::BaseVector< CoordT >::operator/ ( const CoordT & scale ) const

Scalar division.

◆ operator/=()

template<typename CoordT >

BaseVector<CoordT>& lvr2::BaseVector< CoordT >::operator/= ( const CoordT & scale )

Scalar division.

◆ operator==()

template<typename CoordT >

bool lvr2::BaseVector< CoordT >::operator== ( const BaseVector< CoordT > & other ) const

◆ operator[]() [1/2]

template<typename CoordT >

CoordT& lvr2::BaseVector< CoordT >::operator[] ( const unsigned & index )

Indexed coordinate access (writing)

◆ operator[]() [2/2]

template<typename CoordT >

CoordT lvr2::BaseVector< CoordT >::operator[] ( const unsigned & index ) const

Indexed coordinate access (reading)

◆ rotated()

template<typename CoordT >

BaseVector<CoordT> lvr2::BaseVector< CoordT >::rotated	(	const BaseVector< CoordT > &	n,
		const double &	alpha
	)		const

Calculates the rotated vector around an normal vector n with the rotation angle alpha.

◆ squaredDistanceFrom()

template<typename CoordT >

CoordType lvr2::BaseVector< CoordT >::squaredDistanceFrom ( const BaseVector< CoordType > & other ) const

Friends And Related Function Documentation

◆ operator*

template<typename CoordT >

template<typename T , typename S >

BaseVector<T> operator*	(	const Eigen::Matrix< S, 4, 4 > &	mat,
		const BaseVector< T > &	normal
	)

friend

Member Data Documentation

◆ x

template<typename CoordT >

CoordT lvr2::BaseVector< CoordT >::x

Definition at line 65 of file BaseVector.hpp.

◆ y

template<typename CoordT >

CoordT lvr2::BaseVector< CoordT >::y

Definition at line 66 of file BaseVector.hpp.

◆ z

template<typename CoordT >

CoordT lvr2::BaseVector< CoordT >::z

Definition at line 67 of file BaseVector.hpp.

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

BaseVector.hpp

Public Types

Public Member Functions

Static Public Member Functions

Public Attributes

Friends

Detailed Description

template<typename CoordT> struct lvr2::BaseVector< CoordT >

Member Typedef Documentation

◆ CoordType

Constructor & Destructor Documentation

◆ BaseVector() [1/3]

◆ BaseVector() [2/3]

◆ BaseVector() [3/3]

Member Function Documentation

◆ average()

◆ centroid()

◆ cross()

◆ distance()

◆ distance2()

◆ distanceFrom()

◆ dot()

◆ length()

◆ length2()

◆ normalize()

◆ normalized()

◆ operator!=()

◆ operator*() [1/2]

◆ operator*() [2/2]

◆ operator*=()

◆ operator+()

◆ operator+=()

◆ operator-()

◆ operator-=()

◆ operator/()

◆ operator/=()

◆ operator==()

◆ operator[]() [1/2]

◆ operator[]() [2/2]

◆ rotated()

◆ squaredDistanceFrom()

Friends And Related Function Documentation

◆ operator*

Member Data Documentation

◆ x

◆ y

◆ z

template<typename CoordT>
struct lvr2::BaseVector< CoordT >