Eigen::AlignedBox

template<typename _Scalar, int _AmbientDim>
class Eigen::AlignedBox< _Scalar, _AmbientDim >

An axis aligned box.

This is defined in the Geometry module.

#include <Eigen/Geometry>

Template Parameters

_Scalar	the type of the scalar coefficients
_AmbientDim	the dimension of the ambient space, can be a compile time value or Dynamic.

This class represents an axis aligned box as a pair of the minimal and maximal corners.

Warning: The result of most methods is undefined when applied to an empty box. You can check for empty boxes using isEmpty().

See also: Global aligned box typedefs


enum	CornerType { Min , Max , BottomLeft , BottomRight , TopLeft , TopRight , BottomLeftFloor , BottomRightFloor , TopLeftFloor , TopRightFloor , BottomLeftCeil , BottomRightCeil , TopLeftCeil , TopRightCeil }

typedef Eigen::Index	Index


	AlignedBox ()

template<typename OtherScalarType >
	AlignedBox (const AlignedBox< OtherScalarType, AmbientDimAtCompileTime > &other)

template<typename Derived >
	AlignedBox (const MatrixBase< Derived > &p)

template<typename OtherVectorType1 , typename OtherVectorType2 >
	AlignedBox (const OtherVectorType1 &_min, const OtherVectorType2 &_max)

	AlignedBox (Index _dim)

template<typename NewScalarType >
internal::cast_return_type< AlignedBox, AlignedBox< NewScalarType, AmbientDimAtCompileTime > >::type	cast () const

AlignedBox &	clamp (const AlignedBox &b)

bool	contains (const AlignedBox &b) const

template<typename Derived >
bool	contains (const MatrixBase< Derived > &p) const

VectorType	corner (CornerType corner) const

CwiseBinaryOp< internal::scalar_difference_op< Scalar, Scalar >, const VectorType, const VectorType >	diagonal () const

Index	dim () const

const	EIGEN_EXPR_BINARYOP_SCALAR_RETURN_TYPE (VectorTypeSum, RealScalar, quotient) center() const

AlignedBox &	extend (const AlignedBox &b)

template<typename Derived >
AlignedBox &	extend (const MatrixBase< Derived > &p)

NonInteger	exteriorDistance (const AlignedBox &b) const

template<typename Derived >
NonInteger	exteriorDistance (const MatrixBase< Derived > &p) const

AlignedBox	intersection (const AlignedBox &b) const

bool	intersects (const AlignedBox &b) const

bool	isApprox (const AlignedBox &other, const RealScalar &prec=ScalarTraits::dummy_precision()) const

bool	isEmpty () const

bool	isNull () const

VectorType &()	max ()

const VectorType &()	max () const

AlignedBox	merged (const AlignedBox &b) const

VectorType &()	min ()

const VectorType &()	min () const

VectorType	sample () const

void	setEmpty ()

void	setNull ()

const CwiseBinaryOp< internal::scalar_difference_op< Scalar, Scalar >, const VectorType, const VectorType >	sizes () const

Scalar	squaredExteriorDistance (const AlignedBox &b) const

template<typename Derived >
Scalar	squaredExteriorDistance (const MatrixBase< Derived > &p) const

template<int Mode, int Options>
void	transform (const Transform< Scalar, AmbientDimAtCompileTime, Mode, Options > &transform)

template<int Mode, int Options>
void	transform (const typename Transform< Scalar, AmbientDimAtCompileTime, Mode, Options >::TranslationType &translation)

template<int Mode, int Options>
AlignedBox	transformed (const Transform< Scalar, AmbientDimAtCompileTime, Mode, Options > &transform) const

template<typename Derived >
AlignedBox &	translate (const MatrixBase< Derived > &a_t)

template<typename Derived >
AlignedBox	translated (const MatrixBase< Derived > &a_t) const

Scalar	volume () const

Index

template<typename _Scalar , int _AmbientDim>

typedef Eigen::Index Eigen::AlignedBox< _Scalar, _AmbientDim >::Index

Deprecated:: since Eigen 3.3

CornerType

template<typename _Scalar , int _AmbientDim>

enum Eigen::AlignedBox::CornerType

Define constants to name the corners of a 1D, 2D or 3D axis aligned bounding box

Enumerator
Min	1D names
Max	1D names
BottomLeft	Identifier for 2D corner
BottomRight	Identifier for 2D corner
TopLeft	Identifier for 2D corner
TopRight	Identifier for 2D corner
BottomLeftFloor	Identifier for 3D corner
BottomRightFloor	Identifier for 3D corner
TopLeftFloor	Identifier for 3D corner
TopRightFloor	Identifier for 3D corner
BottomLeftCeil	Identifier for 3D corner
BottomRightCeil	Identifier for 3D corner
TopLeftCeil	Identifier for 3D corner
TopRightCeil	Identifier for 3D corner

AlignedBox() [1/5]

template<typename _Scalar , int _AmbientDim>

Eigen::AlignedBox< _Scalar, _AmbientDim >::AlignedBox

(

)

inline

Default constructor initializing a null box.

AlignedBox() [2/5]

template<typename _Scalar , int _AmbientDim>

Eigen::AlignedBox< _Scalar, _AmbientDim >::AlignedBox

(

Index

_dim

)

inlineexplicit

Constructs a null box with _dim the dimension of the ambient space.

AlignedBox() [3/5]

template<typename _Scalar , int _AmbientDim>

template<typename OtherVectorType1 , typename OtherVectorType2 >

Eigen::AlignedBox< _Scalar, _AmbientDim >::AlignedBox	(	const OtherVectorType1 &	_min,
		const OtherVectorType2 &	_max
	)

inline

Constructs a box with extremities _min and _max.

Warning: If either component of _min is larger than the same component of _max, the constructed box is empty.

AlignedBox() [4/5]

template<typename _Scalar , int _AmbientDim>

template<typename Derived >

Eigen::AlignedBox< _Scalar, _AmbientDim >::AlignedBox

(

const MatrixBase< Derived > &

)

inlineexplicit

Constructs a box containing a single point p.

AlignedBox() [5/5]

template<typename _Scalar , int _AmbientDim>

template<typename OtherScalarType >

Eigen::AlignedBox< _Scalar, _AmbientDim >::AlignedBox

(

const AlignedBox< OtherScalarType, AmbientDimAtCompileTime > &

other

)

inlineexplicit

Copy constructor with scalar type conversion

cast()

template<typename _Scalar , int _AmbientDim>

template<typename NewScalarType >

internal::cast_return_type<AlignedBox, AlignedBox<NewScalarType,AmbientDimAtCompileTime> >::type Eigen::AlignedBox< _Scalar, _AmbientDim >::cast

(

)

const

inline

Returns: *this with scalar type casted to NewScalarType

Note that if NewScalarType is equal to the current scalar type of *this then this function smartly returns a const reference to *this.

clamp()

template<typename _Scalar , int _AmbientDim>

AlignedBox& Eigen::AlignedBox< _Scalar, _AmbientDim >::clamp

(

const AlignedBox< _Scalar, _AmbientDim > &

)

inline

Clamps *this by the box b and returns a reference to *this.

Note: If the boxes don't intersect, the resulting box is empty.

See also: intersection(), intersects()

contains() [1/2]

template<typename _Scalar , int _AmbientDim>

bool Eigen::AlignedBox< _Scalar, _AmbientDim >::contains

(

const AlignedBox< _Scalar, _AmbientDim > &

)

const

inline

Returns: true if the box b is entirely inside the box *this.

contains() [2/2]

template<typename _Scalar , int _AmbientDim>

template<typename Derived >

bool Eigen::AlignedBox< _Scalar, _AmbientDim >::contains

(

const MatrixBase< Derived > &

)

const

inline

Returns: true if the point p is inside the box *this.

corner()

template<typename _Scalar , int _AmbientDim>

VectorType Eigen::AlignedBox< _Scalar, _AmbientDim >::corner

(

CornerType

corner

)

const

inline

Returns: the vertex of the bounding box at the corner defined by the corner-id corner. It works only for a 1D, 2D or 3D bounding box. For 1D bounding boxes corners are named by 2 enum constants: BottomLeft and BottomRight. For 2D bounding boxes, corners are named by 4 enum constants: BottomLeft, BottomRight, TopLeft, TopRight. For 3D bounding boxes, the following names are added: BottomLeftCeil, BottomRightCeil, TopLeftCeil, TopRightCeil.

diagonal()

template<typename _Scalar , int _AmbientDim>

CwiseBinaryOp< internal::scalar_difference_op<Scalar,Scalar>, const VectorType, const VectorType> Eigen::AlignedBox< _Scalar, _AmbientDim >::diagonal

(

)

const

inline

Returns: an expression for the bounding box diagonal vector if the length of the diagonal is needed: diagonal().norm() will provide it.

dim()

template<typename _Scalar , int _AmbientDim>

Index Eigen::AlignedBox< _Scalar, _AmbientDim >::dim

(

)

const

inline

Returns: the dimension in which the box holds

EIGEN_EXPR_BINARYOP_SCALAR_RETURN_TYPE()

template<typename _Scalar , int _AmbientDim>

const Eigen::AlignedBox< _Scalar, _AmbientDim >::EIGEN_EXPR_BINARYOP_SCALAR_RETURN_TYPE	(	VectorTypeSum	,
		RealScalar	,
		quotient
	)		const

inline

Returns: the center of the box

extend() [1/2]

template<typename _Scalar , int _AmbientDim>

AlignedBox& Eigen::AlignedBox< _Scalar, _AmbientDim >::extend

(

const AlignedBox< _Scalar, _AmbientDim > &

)

inline

Extends *this such that it contains the box b and returns a reference to *this.

See also: merged, extend(const MatrixBase&)

extend() [2/2]

template<typename _Scalar , int _AmbientDim>

template<typename Derived >

AlignedBox& Eigen::AlignedBox< _Scalar, _AmbientDim >::extend

(

const MatrixBase< Derived > &

)

inline

Extends *this such that it contains the point p and returns a reference to *this.

See also: extend(const AlignedBox&)

exteriorDistance() [1/2]

template<typename _Scalar , int _AmbientDim>

NonInteger Eigen::AlignedBox< _Scalar, _AmbientDim >::exteriorDistance

(

const AlignedBox< _Scalar, _AmbientDim > &

)

const

inline

Returns: the distance between the boxes b and *this, and zero if the boxes intersect.

See also: squaredExteriorDistance(const AlignedBox&), exteriorDistance(const MatrixBase&)

exteriorDistance() [2/2]

template<typename _Scalar , int _AmbientDim>

template<typename Derived >

NonInteger Eigen::AlignedBox< _Scalar, _AmbientDim >::exteriorDistance

(

const MatrixBase< Derived > &

)

const

inline

Returns: the distance between the point p and the box *this, and zero if p is inside the box.

See also: squaredExteriorDistance(const MatrixBase&), exteriorDistance(const AlignedBox&)

intersection()

template<typename _Scalar , int _AmbientDim>

AlignedBox Eigen::AlignedBox< _Scalar, _AmbientDim >::intersection

(

const AlignedBox< _Scalar, _AmbientDim > &

)

const

inline

Returns an AlignedBox that is the intersection of b and *this

Note: If the boxes don't intersect, the resulting box is empty.

See also: intersects(), clamp, contains()

intersects()

template<typename _Scalar , int _AmbientDim>

bool Eigen::AlignedBox< _Scalar, _AmbientDim >::intersects

(

const AlignedBox< _Scalar, _AmbientDim > &

)

const

inline

Returns: true if the box b is intersecting the box *this.

See also: intersection, clamp

isApprox()

template<typename _Scalar , int _AmbientDim>

bool Eigen::AlignedBox< _Scalar, _AmbientDim >::isApprox	(	const AlignedBox< _Scalar, _AmbientDim > &	other,
		const RealScalar &	prec = `ScalarTraits::dummy_precision()`
	)		const

inline

Returns: true if *this is approximately equal to other, within the precision determined by prec.

See also: MatrixBase::isApprox()

isEmpty()

template<typename _Scalar , int _AmbientDim>

bool Eigen::AlignedBox< _Scalar, _AmbientDim >::isEmpty

(

)

const

inline

Returns: true if the box is empty.

See also: setEmpty

isNull()

template<typename _Scalar , int _AmbientDim>

bool Eigen::AlignedBox< _Scalar, _AmbientDim >::isNull

(

)

const

inline

Deprecated:: use isEmpty()

max() [1/2]

template<typename _Scalar , int _AmbientDim>

VectorType&() Eigen::AlignedBox< _Scalar, _AmbientDim >::max

(

)

inline

Returns: a non const reference to the maximal corner

max() [2/2]

template<typename _Scalar , int _AmbientDim>

const VectorType&() Eigen::AlignedBox< _Scalar, _AmbientDim >::max

(

)

const

inline

Returns: the maximal corner

merged()

template<typename _Scalar , int _AmbientDim>

AlignedBox Eigen::AlignedBox< _Scalar, _AmbientDim >::merged

(

const AlignedBox< _Scalar, _AmbientDim > &

)

const

inline

Returns an AlignedBox that is the union of b and *this.

Note: Merging with an empty box may result in a box bigger than *this.

See also: extend(const AlignedBox&)

min() [1/2]

template<typename _Scalar , int _AmbientDim>

VectorType&() Eigen::AlignedBox< _Scalar, _AmbientDim >::min

(

)

inline

Returns: a non const reference to the minimal corner

min() [2/2]

template<typename _Scalar , int _AmbientDim>

const VectorType&() Eigen::AlignedBox< _Scalar, _AmbientDim >::min

(

)

const

inline

Returns: the minimal corner

sample()

template<typename _Scalar , int _AmbientDim>

VectorType Eigen::AlignedBox< _Scalar, _AmbientDim >::sample

(

)

const

inline

Returns: a random point inside the bounding box sampled with a uniform distribution

setEmpty()

template<typename _Scalar , int _AmbientDim>

void Eigen::AlignedBox< _Scalar, _AmbientDim >::setEmpty

(

)

inline

Makes *this an empty box.

See also: isEmpty

setNull()

template<typename _Scalar , int _AmbientDim>

void Eigen::AlignedBox< _Scalar, _AmbientDim >::setNull

(

)

inline

Deprecated:: use setEmpty()

sizes()

template<typename _Scalar , int _AmbientDim>

const CwiseBinaryOp< internal::scalar_difference_op<Scalar,Scalar>, const VectorType, const VectorType> Eigen::AlignedBox< _Scalar, _AmbientDim >::sizes

(

)

const

inline

Returns: the lengths of the sides of the bounding box. Note that this function does not get the same result for integral or floating scalar types: see

squaredExteriorDistance() [1/2]

template<typename Scalar , int AmbientDim>

Scalar Eigen::AlignedBox< Scalar, AmbientDim >::squaredExteriorDistance

(

const AlignedBox< _Scalar, _AmbientDim > &

)

const

inline

Returns: the squared distance between the boxes b and *this, and zero if the boxes intersect.

See also: exteriorDistance(const AlignedBox&), squaredExteriorDistance(const MatrixBase&)

squaredExteriorDistance() [2/2]

template<typename Scalar , int AmbientDim>

template<typename Derived >

Scalar Eigen::AlignedBox< Scalar, AmbientDim >::squaredExteriorDistance

(

const MatrixBase< Derived > &

)

const

inline

Returns: the squared distance between the point p and the box *this, and zero if p is inside the box.

See also: exteriorDistance(const MatrixBase&), squaredExteriorDistance(const AlignedBox&)

transform() [1/2]

template<typename _Scalar , int _AmbientDim>

template<int Mode, int Options>

void Eigen::AlignedBox< _Scalar, _AmbientDim >::transform

(

const Transform< Scalar, AmbientDimAtCompileTime, Mode, Options > &

transform

)

inline

Transforms this box by transform and recomputes it to still be an axis-aligned box.

Note: This method is provided under BSD license (see the top of this file).

transform() [2/2]

template<typename _Scalar , int _AmbientDim>

template<int Mode, int Options>

void Eigen::AlignedBox< _Scalar, _AmbientDim >::transform

(

const typename Transform< Scalar, AmbientDimAtCompileTime, Mode, Options >::TranslationType &

translation

)

inline

Specialization of transform for pure translation.

transformed()

template<typename _Scalar , int _AmbientDim>

template<int Mode, int Options>

AlignedBox Eigen::AlignedBox< _Scalar, _AmbientDim >::transformed

(

const Transform< Scalar, AmbientDimAtCompileTime, Mode, Options > &

transform

)

const

inline

Returns: a copy of *this transformed by transform and recomputed to still be an axis-aligned box.

translate()

template<typename _Scalar , int _AmbientDim>

template<typename Derived >

AlignedBox& Eigen::AlignedBox< _Scalar, _AmbientDim >::translate

(

const MatrixBase< Derived > &

a_t

)

inline

Translate *this by the vector t and returns a reference to *this.

translated()

template<typename _Scalar , int _AmbientDim>

template<typename Derived >

AlignedBox Eigen::AlignedBox< _Scalar, _AmbientDim >::translated

(

const MatrixBase< Derived > &

a_t

)

const

inline

Returns: a copy of *this translated by the vector t.

volume()

template<typename _Scalar , int _AmbientDim>

Scalar Eigen::AlignedBox< _Scalar, _AmbientDim >::volume

(

)

const

inline

Returns: the volume of the bounding box

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

AlignedBox.h

Eigen::AlignedBox

template<typename _Scalar, int _AmbientDim> class Eigen::AlignedBox< _Scalar, _AmbientDim >

Index

CornerType

AlignedBox() [1/5]

AlignedBox() [2/5]

AlignedBox() [3/5]

AlignedBox() [4/5]

AlignedBox() [5/5]

cast()

clamp()

contains() [1/2]

contains() [2/2]

corner()

diagonal()

dim()

EIGEN_EXPR_BINARYOP_SCALAR_RETURN_TYPE()

extend() [1/2]

extend() [2/2]

exteriorDistance() [1/2]

exteriorDistance() [2/2]

intersection()

intersects()

isApprox()

isEmpty()

isNull()

max() [1/2]

max() [2/2]

merged()

min() [1/2]

min() [2/2]

sample()

setEmpty()

setNull()

sizes()

squaredExteriorDistance() [1/2]

squaredExteriorDistance() [2/2]

transform() [1/2]

transform() [2/2]

transformed()

translate()

translated()

volume()

template<typename _Scalar, int _AmbientDim>
class Eigen::AlignedBox< _Scalar, _AmbientDim >