#include <ParametrizedLine.h>

Public Types
enum	{ AmbientDimAtCompileTime = _AmbientDim }

enum	{ AmbientDimAtCompileTime = _AmbientDim, Options = _Options }

typedef _Scalar	Scalar

typedef NumTraits< Scalar >::Real	RealScalar

typedef Matrix< Scalar, AmbientDimAtCompileTime, 1 >	VectorType

typedef _Scalar	Scalar

typedef NumTraits< Scalar >::Real	RealScalar

typedef DenseIndex	Index

typedef Matrix< Scalar, AmbientDimAtCompileTime, 1, Options >	VectorType

Public Member Functions
	ParametrizedLine ()
	Default constructor without initialization.

	ParametrizedLine (int _dim)
	Constructs a dynamic-size line with _dim the dimension of the ambient space.

	ParametrizedLine (const VectorType &origin, const VectorType &direction)
	Initializes a parametrized line of direction direction and origin origin. More...

	ParametrizedLine (const Hyperplane< _Scalar, _AmbientDim > &hyperplane)
	Constructs a parametrized line from a 2D hyperplane. More...

int	dim () const

const VectorType &	origin () const

VectorType &	origin ()

const VectorType &	direction () const

VectorType &	direction ()

RealScalar	squaredDistance (const VectorType &p) const

RealScalar	distance (const VectorType &p) const

VectorType	projection (const VectorType &p) const

Scalar	intersection (const Hyperplane< _Scalar, _AmbientDim > &hyperplane)

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

template<typename OtherScalarType >
	ParametrizedLine (const ParametrizedLine< OtherScalarType, AmbientDimAtCompileTime > &other)
	Copy constructor with scalar type conversion.

bool	isApprox (const ParametrizedLine &other, typename NumTraits< Scalar >::Real prec=precision< Scalar >()) const

	ParametrizedLine ()
	Default constructor without initialization.

template<int OtherOptions>
	ParametrizedLine (const ParametrizedLine< Scalar, AmbientDimAtCompileTime, OtherOptions > &other)

	ParametrizedLine (Index _dim)
	Constructs a dynamic-size line with _dim the dimension of the ambient space.

	ParametrizedLine (const VectorType &origin, const VectorType &direction)
	Initializes a parametrized line of direction direction and origin origin. More...

template<int OtherOptions>
	ParametrizedLine (const Hyperplane< _Scalar, _AmbientDim, OtherOptions > &hyperplane)
	Constructs a parametrized line from a 2D hyperplane. More...

Index	dim () const

const VectorType &	origin () const

VectorType &	origin ()

const VectorType &	direction () const

VectorType &	direction ()

RealScalar	squaredDistance (const VectorType &p) const

RealScalar	distance (const VectorType &p) const

VectorType	projection (const VectorType &p) const

VectorType	pointAt (const Scalar &t) const

template<int OtherOptions>
Scalar	intersectionParameter (const Hyperplane< _Scalar, _AmbientDim, OtherOptions > &hyperplane) const

template<int OtherOptions>
Scalar	intersection (const Hyperplane< _Scalar, _AmbientDim, OtherOptions > &hyperplane) const

template<int OtherOptions>
VectorType	intersectionPoint (const Hyperplane< _Scalar, _AmbientDim, OtherOptions > &hyperplane) const

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

template<typename OtherScalarType , int OtherOptions>
	ParametrizedLine (const ParametrizedLine< OtherScalarType, AmbientDimAtCompileTime, OtherOptions > &other)
	Copy constructor with scalar type conversion.

bool	isApprox (const ParametrizedLine &other, const typename NumTraits< Scalar >::Real &prec=NumTraits< Scalar >::dummy_precision()) const

template<int OtherOptions>
_Scalar	intersectionParameter (const Hyperplane< _Scalar, _AmbientDim, OtherOptions > &hyperplane) const

template<int OtherOptions>
_Scalar	intersection (const Hyperplane< _Scalar, _AmbientDim, OtherOptions > &hyperplane) const

Static Public Member Functions
static ParametrizedLine	Through (const VectorType &p0, const VectorType &p1)
	Constructs a parametrized line going from p0 to p1. More...

static ParametrizedLine	Through (const VectorType &p0, const VectorType &p1)
	Constructs a parametrized line going from p0 to p1. More...

Protected Attributes
VectorType	m_origin

VectorType	m_direction

Detailed Description

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

A parametrized line

A parametrized line is defined by an origin point \( \mathbf{o} \) and a unit direction vector \( \mathbf{d} \) such that the line corresponds to the set \( l(t) = \mathbf{o} + t \mathbf{d} \), \( l \in \mathbf{R} \).

Parameters

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

A parametrized line

A parametrized line is defined by an origin point \( \mathbf{o} \) and a unit direction vector \( \mathbf{d} \) such that the line corresponds to the set \( l(t) = \mathbf{o} + t \mathbf{d} \), \( t \in \mathbf{R} \).

Parameters

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

Constructor & Destructor Documentation

§ ParametrizedLine() [1/4]

template<typename _Scalar, int _AmbientDim>

Eigen::ParametrizedLine< _Scalar, _AmbientDim >::ParametrizedLine	(	const VectorType &	origin,
		const VectorType &	direction
	)

inline

Initializes a parametrized line of direction direction and origin origin.

Warning: the vector direction is assumed to be normalized.

§ ParametrizedLine() [2/4]

template<typename _Scalar , int _AmbientDim>

Eigen::ParametrizedLine< _Scalar, _AmbientDim >::ParametrizedLine ( const Hyperplane< _Scalar, _AmbientDim > & hyperplane )

inlineexplicit

Constructs a parametrized line from a 2D hyperplane.

Warning: the ambient space must have dimension 2 such that the hyperplane actually describes a line

§ ParametrizedLine() [3/4]

template<typename _Scalar, int _AmbientDim>

Eigen::ParametrizedLine< _Scalar, _AmbientDim >::ParametrizedLine	(	const VectorType &	origin,
		const VectorType &	direction
	)

inline

Initializes a parametrized line of direction direction and origin origin.

Warning: the vector direction is assumed to be normalized.

§ ParametrizedLine() [4/4]

template<typename _Scalar , int _AmbientDim, int _Options>

template<int OtherOptions>

Eigen::ParametrizedLine< _Scalar, _AmbientDim, _Options >::ParametrizedLine ( const Hyperplane< _Scalar, _AmbientDim, OtherOptions > & hyperplane )

inlineexplicit

Constructs a parametrized line from a 2D hyperplane.

Warning: the ambient space must have dimension 2 such that the hyperplane actually describes a line

Member Function Documentation

§ cast() [1/2]

template<typename _Scalar, int _AmbientDim>

template<typename NewScalarType >

internal::cast_return_type<ParametrizedLine, ParametrizedLine<NewScalarType,AmbientDimAtCompileTime> >::type Eigen::ParametrizedLine< _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.

§ cast() [2/2]

template<typename _Scalar, int _AmbientDim>

template<typename NewScalarType >

internal::cast_return_type<ParametrizedLine, ParametrizedLine<NewScalarType,AmbientDimAtCompileTime,Options> >::type Eigen::ParametrizedLine< _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.

§ dim() [1/2]

template<typename _Scalar, int _AmbientDim>

int Eigen::ParametrizedLine< _Scalar, _AmbientDim >::dim ( ) const

inline

Returns: the dimension in which the line holds

§ dim() [2/2]

template<typename _Scalar, int _AmbientDim>

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

inline

Returns: the dimension in which the line holds

§ distance() [1/2]

template<typename _Scalar, int _AmbientDim>

RealScalar Eigen::ParametrizedLine< _Scalar, _AmbientDim >::distance ( const VectorType & p ) const

inline

Returns: the distance of a point p to its projection onto the line *this.

See also: squaredDistance()

§ distance() [2/2]

template<typename _Scalar, int _AmbientDim>

RealScalar Eigen::ParametrizedLine< _Scalar, _AmbientDim >::distance ( const VectorType & p ) const

inline

Returns: the distance of a point p to its projection onto the line *this.

See also: squaredDistance()

§ intersection() [1/2]

template<typename _Scalar , int _AmbientDim>

_Scalar Eigen::ParametrizedLine< _Scalar, _AmbientDim >::intersection ( const Hyperplane< _Scalar, _AmbientDim > & hyperplane )

inline

Returns: the parameter value of the intersection between *this and the given hyperplane

§ intersection() [2/2]

template<typename _Scalar, int _AmbientDim>

template<int OtherOptions>

_Scalar Eigen::ParametrizedLine< _Scalar, _AmbientDim >::intersection ( const Hyperplane< _Scalar, _AmbientDim, OtherOptions > & hyperplane ) const

inline

Deprecated:: use intersectionParameter()

Returns: the parameter value of the intersection between *this and the given hyperplane

§ intersectionParameter()

template<typename _Scalar, int _AmbientDim>

template<int OtherOptions>

_Scalar Eigen::ParametrizedLine< _Scalar, _AmbientDim >::intersectionParameter ( const Hyperplane< _Scalar, _AmbientDim, OtherOptions > & hyperplane ) const

inline

Returns: the parameter value of the intersection between *this and the given hyperplane

§ intersectionPoint()

template<typename _Scalar , int _AmbientDim, int _Options>

template<int OtherOptions>

ParametrizedLine< _Scalar, _AmbientDim, _Options >::VectorType Eigen::ParametrizedLine< _Scalar, _AmbientDim, _Options >::intersectionPoint ( const Hyperplane< _Scalar, _AmbientDim, OtherOptions > & hyperplane ) const

inline

Returns: the point of the intersection between *this and the given hyperplane

§ isApprox() [1/2]

template<typename _Scalar, int _AmbientDim>

bool Eigen::ParametrizedLine< _Scalar, _AmbientDim >::isApprox	(	const ParametrizedLine< _Scalar, _AmbientDim > &	other,
		typename NumTraits< Scalar >::Real	prec = `precision<Scalar>()`
	)		const

inline

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

See also: MatrixBase::isApprox()

§ isApprox() [2/2]

template<typename _Scalar, int _AmbientDim>

bool Eigen::ParametrizedLine< _Scalar, _AmbientDim >::isApprox	(	const ParametrizedLine< _Scalar, _AmbientDim > &	other,
		const typename NumTraits< Scalar >::Real &	prec = `NumTraits<Scalar>::dummy_precision()`
	)		const

inline

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

See also: MatrixBase::isApprox()

§ pointAt()

template<typename _Scalar , int _AmbientDim, int _Options>

ParametrizedLine< _Scalar, _AmbientDim, _Options >::VectorType Eigen::ParametrizedLine< _Scalar, _AmbientDim, _Options >::pointAt ( const Scalar & t ) const

inline

Returns: the point at t along this line

§ projection() [1/2]

template<typename _Scalar, int _AmbientDim>

VectorType Eigen::ParametrizedLine< _Scalar, _AmbientDim >::projection ( const VectorType & p ) const

inline

Returns: the projection of a point p onto the line *this.

§ projection() [2/2]

template<typename _Scalar, int _AmbientDim>

VectorType Eigen::ParametrizedLine< _Scalar, _AmbientDim >::projection ( const VectorType & p ) const

inline

Returns: the projection of a point p onto the line *this.

§ squaredDistance() [1/2]

template<typename _Scalar, int _AmbientDim>

RealScalar Eigen::ParametrizedLine< _Scalar, _AmbientDim >::squaredDistance ( const VectorType & p ) const

inline

Returns: the squared distance of a point p to its projection onto the line *this.

See also: distance()

§ squaredDistance() [2/2]

template<typename _Scalar, int _AmbientDim>

RealScalar Eigen::ParametrizedLine< _Scalar, _AmbientDim >::squaredDistance ( const VectorType & p ) const

inline

Returns: the squared distance of a point p to its projection onto the line *this.

See also: distance()

§ Through() [1/2]

template<typename _Scalar, int _AmbientDim>

static ParametrizedLine Eigen::ParametrizedLine< _Scalar, _AmbientDim >::Through	(	const VectorType &	p0,
		const VectorType &	p1
	)

inlinestatic

Constructs a parametrized line going from p0 to p1.

§ Through() [2/2]

template<typename _Scalar, int _AmbientDim>

static ParametrizedLine Eigen::ParametrizedLine< _Scalar, _AmbientDim >::Through	(	const VectorType &	p0,
		const VectorType &	p1
	)

inlinestatic

Constructs a parametrized line going from p0 to p1.

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

vendor/eigen/Eigen/src/Eigen2Support/Geometry/ParametrizedLine.h

Public Types

Public Member Functions

Static Public Member Functions

Protected Attributes

Detailed Description

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

Constructor & Destructor Documentation

§ ParametrizedLine() [1/4]

§ ParametrizedLine() [2/4]

§ ParametrizedLine() [3/4]

§ ParametrizedLine() [4/4]

Member Function Documentation

§ cast() [1/2]

§ cast() [2/2]

§ dim() [1/2]

§ dim() [2/2]

§ distance() [1/2]

§ distance() [2/2]

§ intersection() [1/2]

§ intersection() [2/2]

§ intersectionParameter()

§ intersectionPoint()

§ isApprox() [1/2]

§ isApprox() [2/2]

§ pointAt()

§ projection() [1/2]

§ projection() [2/2]

§ squaredDistance() [1/2]

§ squaredDistance() [2/2]

§ Through() [1/2]

§ Through() [2/2]

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