Public Types | Public Member Functions | Static Public Member Functions | Protected Attributes | List of all members
Eigen::ParametrizedLine< _Scalar, _AmbientDim > Class Template Reference

A parametrized line. More...

#include <ParametrizedLine.h>

Public Types

enum  { AmbientDimAtCompileTime = _AmbientDim }
 
enum  { AmbientDimAtCompileTime = _AmbientDim, Options = _Options }
 
typedef DenseIndex Index
 
typedef NumTraits< Scalar >::Real RealScalar
 
typedef NumTraits< Scalar >::Real RealScalar
 
typedef _Scalar Scalar
 
typedef _Scalar Scalar
 
typedef Matrix< Scalar, AmbientDimAtCompileTime, 1 > VectorType
 
typedef Matrix< Scalar, AmbientDimAtCompileTime, 1, OptionsVectorType
 

Public Member Functions

template<typename NewScalarType >
internal::cast_return_type< ParametrizedLine, ParametrizedLine< NewScalarType, AmbientDimAtCompileTime > >::type cast () const
 
template<typename NewScalarType >
internal::cast_return_type< ParametrizedLine, ParametrizedLine< NewScalarType, AmbientDimAtCompileTime, Options > >::type cast () const
 
int dim () const
 
Index dim () const
 
const VectorTypedirection () const
 
VectorTypedirection ()
 
const VectorTypedirection () const
 
VectorTypedirection ()
 
RealScalar distance (const VectorType &p) const
 
RealScalar distance (const VectorType &p) const
 
Scalar intersection (const Hyperplane< _Scalar, _AmbientDim > &hyperplane)
 
template<int OtherOptions>
Scalar intersection (const Hyperplane< _Scalar, _AmbientDim, OtherOptions > &hyperplane) const
 
template<int OtherOptions>
_Scalar intersection (const Hyperplane< _Scalar, _AmbientDim, OtherOptions > &hyperplane) const
 
template<int OtherOptions>
Scalar intersectionParameter (const Hyperplane< _Scalar, _AmbientDim, OtherOptions > &hyperplane) const
 
template<int OtherOptions>
_Scalar intersectionParameter (const Hyperplane< _Scalar, _AmbientDim, OtherOptions > &hyperplane) const
 
template<int OtherOptions>
VectorType intersectionPoint (const Hyperplane< _Scalar, _AmbientDim, OtherOptions > &hyperplane) const
 
bool isApprox (const ParametrizedLine &other, typename NumTraits< Scalar >::Real prec=precision< Scalar >()) const
 
bool isApprox (const ParametrizedLine &other, typename NumTraits< Scalar >::Real prec=NumTraits< Scalar >::dummy_precision()) const
 
const VectorTypeorigin () const
 
VectorTypeorigin ()
 
const VectorTypeorigin () const
 
VectorTypeorigin ()
 
 ParametrizedLine ()
 
 ParametrizedLine (int _dim)
 
 ParametrizedLine ()
 
template<int OtherOptions>
 ParametrizedLine (const ParametrizedLine< Scalar, AmbientDimAtCompileTime, OtherOptions > &other)
 
 ParametrizedLine (const VectorType &origin, const VectorType &direction)
 
 ParametrizedLine (const Hyperplane< _Scalar, _AmbientDim > &hyperplane)
 
 ParametrizedLine (Index _dim)
 
 ParametrizedLine (const VectorType &origin, const VectorType &direction)
 
template<int OtherOptions>
 ParametrizedLine (const Hyperplane< _Scalar, _AmbientDim, OtherOptions > &hyperplane)
 
template<typename OtherScalarType >
 ParametrizedLine (const ParametrizedLine< OtherScalarType, AmbientDimAtCompileTime > &other)
 
template<typename OtherScalarType , int OtherOptions>
 ParametrizedLine (const ParametrizedLine< OtherScalarType, AmbientDimAtCompileTime, OtherOptions > &other)
 
VectorType pointAt (const Scalar &t) const
 
VectorType projection (const VectorType &p) const
 
VectorType projection (const VectorType &p) const
 
RealScalar squaredDistance (const VectorType &p) const
 
RealScalar squaredDistance (const VectorType &p) const
 
 ~ParametrizedLine ()
 
 ~ParametrizedLine ()
 

Static Public Member Functions

static ParametrizedLine Through (const VectorType &p0, const VectorType &p1)
 
static ParametrizedLine Through (const VectorType &p0, const VectorType &p1)
 

Protected Attributes

VectorType m_direction
 
VectorType m_origin
 

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

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

Definition at line 29 of file Eigen2Support/Geometry/ParametrizedLine.h.

Member Typedef Documentation

template<typename _Scalar, int _AmbientDim>
typedef DenseIndex Eigen::ParametrizedLine< _Scalar, _AmbientDim >::Index

Definition at line 40 of file Geometry/ParametrizedLine.h.

template<typename _Scalar, int _AmbientDim>
typedef NumTraits<Scalar>::Real Eigen::ParametrizedLine< _Scalar, _AmbientDim >::RealScalar

Definition at line 35 of file Eigen2Support/Geometry/ParametrizedLine.h.

template<typename _Scalar, int _AmbientDim>
typedef NumTraits<Scalar>::Real Eigen::ParametrizedLine< _Scalar, _AmbientDim >::RealScalar

Definition at line 39 of file Geometry/ParametrizedLine.h.

template<typename _Scalar, int _AmbientDim>
typedef _Scalar Eigen::ParametrizedLine< _Scalar, _AmbientDim >::Scalar

Definition at line 34 of file Eigen2Support/Geometry/ParametrizedLine.h.

template<typename _Scalar, int _AmbientDim>
typedef _Scalar Eigen::ParametrizedLine< _Scalar, _AmbientDim >::Scalar

Definition at line 38 of file Geometry/ParametrizedLine.h.

template<typename _Scalar, int _AmbientDim>
typedef Matrix<Scalar,AmbientDimAtCompileTime,1> Eigen::ParametrizedLine< _Scalar, _AmbientDim >::VectorType

Definition at line 36 of file Eigen2Support/Geometry/ParametrizedLine.h.

template<typename _Scalar, int _AmbientDim>
typedef Matrix<Scalar,AmbientDimAtCompileTime,1,Options> Eigen::ParametrizedLine< _Scalar, _AmbientDim >::VectorType

Definition at line 41 of file Geometry/ParametrizedLine.h.

Member Enumeration Documentation

template<typename _Scalar, int _AmbientDim>
anonymous enum
Enumerator
AmbientDimAtCompileTime 

Definition at line 33 of file Eigen2Support/Geometry/ParametrizedLine.h.

template<typename _Scalar, int _AmbientDim>
anonymous enum
Enumerator
AmbientDimAtCompileTime 
Options 

Definition at line 34 of file Geometry/ParametrizedLine.h.

Constructor & Destructor Documentation

template<typename _Scalar, int _AmbientDim>
Eigen::ParametrizedLine< _Scalar, _AmbientDim >::ParametrizedLine ( )
inline

Default constructor without initialization

Definition at line 39 of file Eigen2Support/Geometry/ParametrizedLine.h.

template<typename _Scalar, int _AmbientDim>
Eigen::ParametrizedLine< _Scalar, _AmbientDim >::ParametrizedLine ( int  _dim)
inlineexplicit

Constructs a dynamic-size line with _dim the dimension of the ambient space

Definition at line 43 of file Eigen2Support/Geometry/ParametrizedLine.h.

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.

Definition at line 48 of file Eigen2Support/Geometry/ParametrizedLine.h.

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

Definition at line 125 of file Eigen2Support/Geometry/ParametrizedLine.h.

template<typename _Scalar, int _AmbientDim>
Eigen::ParametrizedLine< _Scalar, _AmbientDim >::~ParametrizedLine ( )
inline

Definition at line 57 of file Eigen2Support/Geometry/ParametrizedLine.h.

template<typename _Scalar, int _AmbientDim>
template<typename OtherScalarType >
Eigen::ParametrizedLine< _Scalar, _AmbientDim >::ParametrizedLine ( const ParametrizedLine< OtherScalarType, AmbientDimAtCompileTime > &  other)
inlineexplicit

Copy constructor with scalar type conversion

Definition at line 102 of file Eigen2Support/Geometry/ParametrizedLine.h.

template<typename _Scalar, int _AmbientDim>
Eigen::ParametrizedLine< _Scalar, _AmbientDim >::ParametrizedLine ( )
inline

Default constructor without initialization

Definition at line 44 of file Geometry/ParametrizedLine.h.

template<typename _Scalar, int _AmbientDim>
template<int OtherOptions>
Eigen::ParametrizedLine< _Scalar, _AmbientDim >::ParametrizedLine ( const ParametrizedLine< Scalar, AmbientDimAtCompileTime, OtherOptions > &  other)
inline

Definition at line 47 of file Geometry/ParametrizedLine.h.

template<typename _Scalar, int _AmbientDim>
Eigen::ParametrizedLine< _Scalar, _AmbientDim >::ParametrizedLine ( Index  _dim)
inlineexplicit

Constructs a dynamic-size line with _dim the dimension of the ambient space

Definition at line 53 of file Geometry/ParametrizedLine.h.

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.

Definition at line 58 of file Geometry/ParametrizedLine.h.

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

Definition at line 146 of file Geometry/ParametrizedLine.h.

template<typename _Scalar, int _AmbientDim>
Eigen::ParametrizedLine< _Scalar, _AmbientDim >::~ParametrizedLine ( )
inline

Definition at line 68 of file Geometry/ParametrizedLine.h.

template<typename _Scalar, int _AmbientDim>
template<typename OtherScalarType , int OtherOptions>
Eigen::ParametrizedLine< _Scalar, _AmbientDim >::ParametrizedLine ( const ParametrizedLine< OtherScalarType, AmbientDimAtCompileTime, OtherOptions > &  other)
inlineexplicit

Copy constructor with scalar type conversion

Definition at line 122 of file Geometry/ParametrizedLine.h.

Member Function Documentation

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.

Definition at line 94 of file Eigen2Support/Geometry/ParametrizedLine.h.

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.

Definition at line 114 of file Geometry/ParametrizedLine.h.

template<typename _Scalar, int _AmbientDim>
int Eigen::ParametrizedLine< _Scalar, _AmbientDim >::dim ( ) const
inline
Returns
the dimension in which the line holds

Definition at line 60 of file Eigen2Support/Geometry/ParametrizedLine.h.

template<typename _Scalar, int _AmbientDim>
Index Eigen::ParametrizedLine< _Scalar, _AmbientDim >::dim ( ) const
inline
Returns
the dimension in which the line holds

Definition at line 71 of file Geometry/ParametrizedLine.h.

template<typename _Scalar, int _AmbientDim>
const VectorType& Eigen::ParametrizedLine< _Scalar, _AmbientDim >::direction ( ) const
inline

Definition at line 65 of file Eigen2Support/Geometry/ParametrizedLine.h.

template<typename _Scalar, int _AmbientDim>
VectorType& Eigen::ParametrizedLine< _Scalar, _AmbientDim >::direction ( )
inline

Definition at line 66 of file Eigen2Support/Geometry/ParametrizedLine.h.

template<typename _Scalar, int _AmbientDim>
const VectorType& Eigen::ParametrizedLine< _Scalar, _AmbientDim >::direction ( ) const
inline

Definition at line 76 of file Geometry/ParametrizedLine.h.

template<typename _Scalar, int _AmbientDim>
VectorType& Eigen::ParametrizedLine< _Scalar, _AmbientDim >::direction ( )
inline

Definition at line 77 of file Geometry/ParametrizedLine.h.

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()

Definition at line 79 of file Eigen2Support/Geometry/ParametrizedLine.h.

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()

Definition at line 90 of file Geometry/ParametrizedLine.h.

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

Definition at line 135 of file Eigen2Support/Geometry/ParametrizedLine.h.

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

Definition at line 178 of file Geometry/ParametrizedLine.h.

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

Definition at line 166 of file Geometry/ParametrizedLine.h.

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

Definition at line 188 of file Geometry/ParametrizedLine.h.

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()

Definition at line 112 of file Eigen2Support/Geometry/ParametrizedLine.h.

template<typename _Scalar, int _AmbientDim>
bool Eigen::ParametrizedLine< _Scalar, _AmbientDim >::isApprox ( const ParametrizedLine< _Scalar, _AmbientDim > &  other,
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()

Definition at line 132 of file Geometry/ParametrizedLine.h.

template<typename _Scalar, int _AmbientDim>
const VectorType& Eigen::ParametrizedLine< _Scalar, _AmbientDim >::origin ( ) const
inline

Definition at line 62 of file Eigen2Support/Geometry/ParametrizedLine.h.

template<typename _Scalar, int _AmbientDim>
VectorType& Eigen::ParametrizedLine< _Scalar, _AmbientDim >::origin ( )
inline

Definition at line 63 of file Eigen2Support/Geometry/ParametrizedLine.h.

template<typename _Scalar, int _AmbientDim>
const VectorType& Eigen::ParametrizedLine< _Scalar, _AmbientDim >::origin ( ) const
inline

Definition at line 73 of file Geometry/ParametrizedLine.h.

template<typename _Scalar, int _AmbientDim>
VectorType& Eigen::ParametrizedLine< _Scalar, _AmbientDim >::origin ( )
inline

Definition at line 74 of file Geometry/ParametrizedLine.h.

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

Definition at line 157 of file Geometry/ParametrizedLine.h.

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.

Definition at line 82 of file Eigen2Support/Geometry/ParametrizedLine.h.

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.

Definition at line 93 of file Geometry/ParametrizedLine.h.

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()

Definition at line 71 of file Eigen2Support/Geometry/ParametrizedLine.h.

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()

Definition at line 82 of file Geometry/ParametrizedLine.h.

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.

Definition at line 54 of file Eigen2Support/Geometry/ParametrizedLine.h.

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.

Definition at line 65 of file Geometry/ParametrizedLine.h.

Member Data Documentation

template<typename _Scalar, int _AmbientDim>
VectorType Eigen::ParametrizedLine< _Scalar, _AmbientDim >::m_direction
protected

Definition at line 117 of file Eigen2Support/Geometry/ParametrizedLine.h.

template<typename _Scalar, int _AmbientDim>
VectorType Eigen::ParametrizedLine< _Scalar, _AmbientDim >::m_origin
protected

Definition at line 117 of file Eigen2Support/Geometry/ParametrizedLine.h.


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


acado
Author(s): Milan Vukov, Rien Quirynen
autogenerated on Mon Jun 10 2019 12:35:37