An axis aligned box. More...

#include <ForwardDeclarations.h>

Public Types
enum	{ AmbientDimAtCompileTime = _AmbientDim }

enum	CornerType { Min =0, Max =1, BottomLeft =0, BottomRight =1, TopLeft =2, TopRight =3, BottomLeftFloor =0, BottomRightFloor =1, TopLeftFloor =2, TopRightFloor =3, BottomLeftCeil =4, BottomRightCeil =5, TopLeftCeil =6, TopRightCeil =7 }

typedef Eigen::Index	Index

typedef ScalarTraits::NonInteger	NonInteger

typedef ScalarTraits::Real	RealScalar

typedef _Scalar	Scalar

typedef NumTraits< Scalar >	ScalarTraits

typedef Matrix< Scalar, AmbientDimAtCompileTime, 1 >	VectorType

typedef CwiseBinaryOp< internal::scalar_sum_op< Scalar >, const VectorType, const VectorType >	VectorTypeSum

Public Member Functions
EIGEN_DEVICE_FUNC	AlignedBox ()

EIGEN_DEVICE_FUNC	AlignedBox (Index _dim)

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

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

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

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

EIGEN_DEVICE_FUNC AlignedBox &	clamp (const AlignedBox &b)

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

EIGEN_DEVICE_FUNC bool	contains (const AlignedBox &b) const

EIGEN_DEVICE_FUNC VectorType	corner (CornerType corner) const

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

EIGEN_DEVICE_FUNC Index	dim () const

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

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

EIGEN_DEVICE_FUNC AlignedBox &	extend (const AlignedBox &b)

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

EIGEN_DEVICE_FUNC NonInteger	exteriorDistance (const AlignedBox &b) const

EIGEN_DEVICE_FUNC AlignedBox	intersection (const AlignedBox &b) const

EIGEN_DEVICE_FUNC bool	intersects (const AlignedBox &b) const

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

EIGEN_DEVICE_FUNC bool	isEmpty () const

EIGEN_DEVICE_FUNC bool	isNull () const

EIGEN_DEVICE_FUNC const VectorType &()	max () const

EIGEN_DEVICE_FUNC VectorType &()	max ()

EIGEN_DEVICE_FUNC AlignedBox	merged (const AlignedBox &b) const

EIGEN_DEVICE_FUNC const VectorType &()	min () const

EIGEN_DEVICE_FUNC VectorType &()	min ()

EIGEN_DEVICE_FUNC VectorType	sample () const

EIGEN_DEVICE_FUNC void	setEmpty ()

EIGEN_DEVICE_FUNC void	setNull ()

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

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

EIGEN_DEVICE_FUNC Scalar	squaredExteriorDistance (const AlignedBox &b) const

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

EIGEN_DEVICE_FUNC Scalar	volume () const

EIGEN_DEVICE_FUNC	~AlignedBox ()

Protected Attributes
VectorType	m_max

VectorType	m_min

Detailed Description

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

An axis aligned box.

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

Definition at line 272 of file ForwardDeclarations.h.

Member Typedef Documentation

template<typename _Scalar , int _AmbientDim>

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

Deprecated:: since Eigen 3.3

Definition at line 37 of file AlignedBox.h.

template<typename _Scalar , int _AmbientDim>

typedef ScalarTraits::NonInteger Eigen::AlignedBox< _Scalar, _AmbientDim >::NonInteger

Definition at line 39 of file AlignedBox.h.

template<typename _Scalar , int _AmbientDim>

typedef ScalarTraits::Real Eigen::AlignedBox< _Scalar, _AmbientDim >::RealScalar

Definition at line 38 of file AlignedBox.h.

template<typename _Scalar , int _AmbientDim>

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

Definition at line 35 of file AlignedBox.h.

template<typename _Scalar , int _AmbientDim>

typedef NumTraits<Scalar> Eigen::AlignedBox< _Scalar, _AmbientDim >::ScalarTraits

Definition at line 36 of file AlignedBox.h.

template<typename _Scalar , int _AmbientDim>

typedef Matrix<Scalar,AmbientDimAtCompileTime,1> Eigen::AlignedBox< _Scalar, _AmbientDim >::VectorType

Definition at line 40 of file AlignedBox.h.

template<typename _Scalar , int _AmbientDim>

typedef CwiseBinaryOp<internal::scalar_sum_op<Scalar>, const VectorType, const VectorType> Eigen::AlignedBox< _Scalar, _AmbientDim >::VectorTypeSum

Definition at line 41 of file AlignedBox.h.

Member Enumeration Documentation

template<typename _Scalar , int _AmbientDim>

anonymous enum

Enumerator
AmbientDimAtCompileTime

Definition at line 34 of file AlignedBox.h.

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
BottomLeft	Identifier for 2D corner
BottomRight
TopLeft
TopRight
BottomLeftFloor	Identifier for 3D corner
BottomRightFloor
TopLeftFloor
TopRightFloor
BottomLeftCeil
BottomRightCeil
TopLeftCeil
TopRightCeil

Definition at line 44 of file AlignedBox.h.

Constructor & Destructor Documentation

template<typename _Scalar , int _AmbientDim>

EIGEN_DEVICE_FUNC Eigen::AlignedBox< _Scalar, _AmbientDim >::AlignedBox ( )

inline

Default constructor initializing a null box.

Definition at line 65 of file AlignedBox.h.

template<typename _Scalar , int _AmbientDim>

EIGEN_DEVICE_FUNC Eigen::AlignedBox< _Scalar, _AmbientDim >::AlignedBox ( Index _dim )

inlineexplicit

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

Definition at line 69 of file AlignedBox.h.

template<typename _Scalar , int _AmbientDim>

template<typename OtherVectorType1 , typename OtherVectorType2 >

EIGEN_DEVICE_FUNC 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.

Definition at line 75 of file AlignedBox.h.

template<typename _Scalar , int _AmbientDim>

template<typename Derived >

EIGEN_DEVICE_FUNC Eigen::AlignedBox< _Scalar, _AmbientDim >::AlignedBox ( const MatrixBase< Derived > & p )

inlineexplicit

Constructs a box containing a single point p.

Definition at line 79 of file AlignedBox.h.

template<typename _Scalar , int _AmbientDim>

EIGEN_DEVICE_FUNC Eigen::AlignedBox< _Scalar, _AmbientDim >::~AlignedBox ( )

inline

Definition at line 82 of file AlignedBox.h.

template<typename _Scalar , int _AmbientDim>

template<typename OtherScalarType >

EIGEN_DEVICE_FUNC Eigen::AlignedBox< _Scalar, _AmbientDim >::AlignedBox ( const AlignedBox< OtherScalarType, AmbientDimAtCompileTime > & other )

inlineexplicit

Copy constructor with scalar type conversion

Definition at line 292 of file AlignedBox.h.

Member Function Documentation

template<typename _Scalar , int _AmbientDim>

template<typename NewScalarType >

EIGEN_DEVICE_FUNC 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.

Definition at line 284 of file AlignedBox.h.

template<typename _Scalar , int _AmbientDim>

EIGEN_DEVICE_FUNC AlignedBox& Eigen::AlignedBox< _Scalar, _AmbientDim >::clamp ( const AlignedBox< _Scalar, _AmbientDim > & b )

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()

Definition at line 220 of file AlignedBox.h.

template<typename _Scalar , int _AmbientDim>

template<typename Derived >

EIGEN_DEVICE_FUNC bool Eigen::AlignedBox< _Scalar, _AmbientDim >::contains ( const MatrixBase< Derived > & p ) const

inline

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

Definition at line 182 of file AlignedBox.h.

template<typename _Scalar , int _AmbientDim>

EIGEN_DEVICE_FUNC bool Eigen::AlignedBox< _Scalar, _AmbientDim >::contains ( const AlignedBox< _Scalar, _AmbientDim > & b ) const

inline

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

Definition at line 189 of file AlignedBox.h.

template<typename _Scalar , int _AmbientDim>

EIGEN_DEVICE_FUNC 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.

Definition at line 146 of file AlignedBox.h.

template<typename _Scalar , int _AmbientDim>

EIGEN_DEVICE_FUNC 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.

Definition at line 134 of file AlignedBox.h.

template<typename _Scalar , int _AmbientDim>

EIGEN_DEVICE_FUNC Index Eigen::AlignedBox< _Scalar, _AmbientDim >::dim ( ) const

inline

Returns: the dimension in which the box holds

Definition at line 85 of file AlignedBox.h.

template<typename _Scalar , int _AmbientDim>

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

inline

Returns: the center of the box

Definition at line 115 of file AlignedBox.h.

template<typename _Scalar , int _AmbientDim>

template<typename Derived >

EIGEN_DEVICE_FUNC AlignedBox& Eigen::AlignedBox< _Scalar, _AmbientDim >::extend ( const MatrixBase< Derived > & p )

inline

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

See also: extend(const AlignedBox&)

Definition at line 200 of file AlignedBox.h.

template<typename _Scalar , int _AmbientDim>

EIGEN_DEVICE_FUNC AlignedBox& Eigen::AlignedBox< _Scalar, _AmbientDim >::extend ( const AlignedBox< _Scalar, _AmbientDim > & b )

inline

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

See also: merged, extend(const MatrixBase&)

Definition at line 210 of file AlignedBox.h.

template<typename _Scalar , int _AmbientDim>

template<typename Derived >

EIGEN_DEVICE_FUNC NonInteger Eigen::AlignedBox< _Scalar, _AmbientDim >::exteriorDistance ( const MatrixBase< Derived > & p ) 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&)

Definition at line 267 of file AlignedBox.h.

template<typename _Scalar , int _AmbientDim>

EIGEN_DEVICE_FUNC NonInteger Eigen::AlignedBox< _Scalar, _AmbientDim >::exteriorDistance ( const AlignedBox< _Scalar, _AmbientDim > & b ) 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&)

Definition at line 274 of file AlignedBox.h.

template<typename _Scalar , int _AmbientDim>

EIGEN_DEVICE_FUNC AlignedBox Eigen::AlignedBox< _Scalar, _AmbientDim >::intersection ( const AlignedBox< _Scalar, _AmbientDim > & b ) 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()

Definition at line 230 of file AlignedBox.h.

template<typename _Scalar , int _AmbientDim>

EIGEN_DEVICE_FUNC bool Eigen::AlignedBox< _Scalar, _AmbientDim >::intersects ( const AlignedBox< _Scalar, _AmbientDim > & b ) const

inline

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

See also: intersection, clamp

Definition at line 194 of file AlignedBox.h.

template<typename _Scalar , int _AmbientDim>

EIGEN_DEVICE_FUNC 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()

Definition at line 302 of file AlignedBox.h.

template<typename _Scalar , int _AmbientDim>

EIGEN_DEVICE_FUNC bool Eigen::AlignedBox< _Scalar, _AmbientDim >::isEmpty ( ) const

inline

Returns: true if the box is empty.

See also: setEmpty

Definition at line 95 of file AlignedBox.h.

template<typename _Scalar , int _AmbientDim>

EIGEN_DEVICE_FUNC bool Eigen::AlignedBox< _Scalar, _AmbientDim >::isNull ( ) const

inline

Deprecated:: use isEmpty()

Definition at line 88 of file AlignedBox.h.

template<typename _Scalar , int _AmbientDim>

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

inline

Returns: the maximal corner

Definition at line 110 of file AlignedBox.h.

template<typename _Scalar , int _AmbientDim>

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

inline

Returns: a non const reference to the maximal corner

Definition at line 112 of file AlignedBox.h.

template<typename _Scalar , int _AmbientDim>

EIGEN_DEVICE_FUNC AlignedBox Eigen::AlignedBox< _Scalar, _AmbientDim >::merged ( const AlignedBox< _Scalar, _AmbientDim > & b ) 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&)

Definition at line 236 of file AlignedBox.h.

template<typename _Scalar , int _AmbientDim>

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

inline

Returns: the minimal corner

Definition at line 106 of file AlignedBox.h.

template<typename _Scalar , int _AmbientDim>

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

inline

Returns: a non const reference to the minimal corner

Definition at line 108 of file AlignedBox.h.

template<typename _Scalar , int _AmbientDim>

EIGEN_DEVICE_FUNC VectorType Eigen::AlignedBox< _Scalar, _AmbientDim >::sample ( ) const

inline

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

Definition at line 164 of file AlignedBox.h.

template<typename _Scalar , int _AmbientDim>

EIGEN_DEVICE_FUNC void Eigen::AlignedBox< _Scalar, _AmbientDim >::setEmpty ( )

inline

Makes *this an empty box.

See also: isEmpty

Definition at line 99 of file AlignedBox.h.

template<typename _Scalar , int _AmbientDim>

EIGEN_DEVICE_FUNC void Eigen::AlignedBox< _Scalar, _AmbientDim >::setNull ( )

inline

Deprecated:: use setEmpty()

Definition at line 91 of file AlignedBox.h.

template<typename _Scalar , int _AmbientDim>

EIGEN_DEVICE_FUNC 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

Definition at line 123 of file AlignedBox.h.

template<typename Scalar , int AmbientDim>

template<typename Derived >

EIGEN_DEVICE_FUNC Scalar Eigen::AlignedBox< Scalar, AmbientDim >::squaredExteriorDistance ( const MatrixBase< Derived > & p ) 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&)

Definition at line 314 of file AlignedBox.h.

template<typename Scalar , int AmbientDim>

EIGEN_DEVICE_FUNC Scalar Eigen::AlignedBox< Scalar, AmbientDim >::squaredExteriorDistance ( const AlignedBox< _Scalar, _AmbientDim > & b ) 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&)

Definition at line 336 of file AlignedBox.h.

template<typename _Scalar , int _AmbientDim>

template<typename Derived >

EIGEN_DEVICE_FUNC AlignedBox& Eigen::AlignedBox< _Scalar, _AmbientDim >::translate ( const MatrixBase< Derived > & a_t )

inline

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

Definition at line 241 of file AlignedBox.h.

template<typename _Scalar , int _AmbientDim>

EIGEN_DEVICE_FUNC Scalar Eigen::AlignedBox< _Scalar, _AmbientDim >::volume ( ) const

inline

Returns: the volume of the bounding box

Definition at line 127 of file AlignedBox.h.

Member Data Documentation

template<typename _Scalar , int _AmbientDim>

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

protected

Definition at line 307 of file AlignedBox.h.

template<typename _Scalar , int _AmbientDim>

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

protected

Definition at line 307 of file AlignedBox.h.

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

Public Types

Public Member Functions

Protected Attributes

Detailed Description

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

Member Typedef Documentation

Member Enumeration Documentation

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation

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