Public Types | Public Member Functions | Static Public Member Functions | Protected Attributes | Private Types
Eigen::Rotation2D< _Scalar > Class Template Reference

Represents a rotation/orientation in a 2 dimensional space. More...

#include <Rotation2D.h>

Inheritance diagram for Eigen::Rotation2D< _Scalar >:
Inheritance graph
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List of all members.

Public Types

enum  { Dim = 2 }
enum  { Dim = 2 }
typedef Matrix< Scalar, 2, 2 > Matrix2
typedef Matrix< Scalar, 2, 2 > Matrix2
typedef _Scalar Scalar
typedef _Scalar Scalar
typedef Matrix< Scalar, 2, 1 > Vector2
typedef Matrix< Scalar, 2, 1 > Vector2

Public Member Functions

Scalar angle () const
Scalarangle ()
Scalar angle () const
Scalarangle ()
template<typename NewScalarType >
internal::cast_return_type
< Rotation2D, Rotation2D
< NewScalarType > >::type 
cast () const
template<typename NewScalarType >
internal::cast_return_type
< Rotation2D, Rotation2D
< NewScalarType > >::type 
cast () const
template<typename Derived >
Rotation2DfromRotationMatrix (const MatrixBase< Derived > &m)
template<typename Derived >
Rotation2DfromRotationMatrix (const MatrixBase< Derived > &m)
Rotation2D inverse () const
Rotation2D inverse () const
bool isApprox (const Rotation2D &other, typename NumTraits< Scalar >::Real prec=precision< Scalar >()) const
bool isApprox (const Rotation2D &other, const typename NumTraits< Scalar >::Real &prec=NumTraits< Scalar >::dummy_precision()) const
Rotation2D operator* (const Rotation2D &other) const
Rotation2D operator* (const Rotation2D &other) const
Vector2 operator* (const Vector2 &vec) const
Vector2 operator* (const Vector2 &vec) const
Rotation2Doperator*= (const Rotation2D &other)
Rotation2Doperator*= (const Rotation2D &other)
 Rotation2D (Scalar a)
 Rotation2D (const Scalar &a)
template<typename OtherScalarType >
 Rotation2D (const Rotation2D< OtherScalarType > &other)
template<typename OtherScalarType >
 Rotation2D (const Rotation2D< OtherScalarType > &other)
Rotation2D slerp (Scalar t, const Rotation2D &other) const
Rotation2D slerp (const Scalar &t, const Rotation2D &other) const
Matrix2 toRotationMatrix (void) const
Matrix2 toRotationMatrix (void) const

Static Public Member Functions

static Rotation2D Identity ()

Protected Attributes

Scalar m_angle

Private Types

typedef RotationBase
< Rotation2D< _Scalar >, 2 > 
Base
typedef RotationBase
< Rotation2D< _Scalar >, 2 > 
Base

Detailed Description

template<typename _Scalar>
class Eigen::Rotation2D< _Scalar >

Represents a rotation/orientation in a 2 dimensional space.

Parameters:
_Scalarthe scalar type, i.e., the type of the coefficients

This class is equivalent to a single scalar representing a counter clock wise rotation as a single angle in radian. It provides some additional features such as the automatic conversion from/to a 2x2 rotation matrix. Moreover this class aims to provide a similar interface to Quaternion in order to facilitate the writing of generic algorithms dealing with rotations.

See also:
class Quaternion, class Transform

Definition at line 36 of file Eigen2Support/Geometry/Rotation2D.h.


Member Typedef Documentation

template<typename _Scalar>
typedef RotationBase<Rotation2D<_Scalar>,2> Eigen::Rotation2D< _Scalar >::Base [private]

Definition at line 38 of file Eigen2Support/Geometry/Rotation2D.h.

template<typename _Scalar>
typedef RotationBase<Rotation2D<_Scalar>,2> Eigen::Rotation2D< _Scalar >::Base [private]

Definition at line 43 of file Geometry/Rotation2D.h.

template<typename _Scalar>
typedef Matrix<Scalar,2,2> Eigen::Rotation2D< _Scalar >::Matrix2

Definition at line 48 of file Eigen2Support/Geometry/Rotation2D.h.

template<typename _Scalar>
typedef Matrix<Scalar,2,2> Eigen::Rotation2D< _Scalar >::Matrix2

Definition at line 53 of file Geometry/Rotation2D.h.

template<typename _Scalar>
typedef _Scalar Eigen::Rotation2D< _Scalar >::Scalar

the scalar type of the coefficients

Reimplemented from Eigen::RotationBase< Rotation2D< _Scalar >, 2 >.

Definition at line 46 of file Eigen2Support/Geometry/Rotation2D.h.

template<typename _Scalar>
typedef _Scalar Eigen::Rotation2D< _Scalar >::Scalar

the scalar type of the coefficients

Reimplemented from Eigen::RotationBase< Rotation2D< _Scalar >, 2 >.

Definition at line 51 of file Geometry/Rotation2D.h.

template<typename _Scalar>
typedef Matrix<Scalar,2,1> Eigen::Rotation2D< _Scalar >::Vector2

Definition at line 47 of file Eigen2Support/Geometry/Rotation2D.h.

template<typename _Scalar>
typedef Matrix<Scalar,2,1> Eigen::Rotation2D< _Scalar >::Vector2

Definition at line 52 of file Geometry/Rotation2D.h.


Member Enumeration Documentation

template<typename _Scalar>
anonymous enum
Enumerator:
Dim 

Definition at line 44 of file Eigen2Support/Geometry/Rotation2D.h.

template<typename _Scalar>
anonymous enum
Enumerator:
Dim 

Definition at line 49 of file Geometry/Rotation2D.h.


Constructor & Destructor Documentation

template<typename _Scalar>
Eigen::Rotation2D< _Scalar >::Rotation2D ( Scalar  a) [inline]

Construct a 2D counter clock wise rotation from the angle a in radian.

Definition at line 57 of file Eigen2Support/Geometry/Rotation2D.h.

template<typename _Scalar>
template<typename OtherScalarType >
Eigen::Rotation2D< _Scalar >::Rotation2D ( const Rotation2D< OtherScalarType > &  other) [inline, explicit]

Copy constructor with scalar type conversion

Definition at line 101 of file Eigen2Support/Geometry/Rotation2D.h.

template<typename _Scalar>
Eigen::Rotation2D< _Scalar >::Rotation2D ( const Scalar a) [inline]

Construct a 2D counter clock wise rotation from the angle a in radian.

Definition at line 62 of file Geometry/Rotation2D.h.

template<typename _Scalar>
template<typename OtherScalarType >
Eigen::Rotation2D< _Scalar >::Rotation2D ( const Rotation2D< OtherScalarType > &  other) [inline, explicit]

Copy constructor with scalar type conversion

Definition at line 106 of file Geometry/Rotation2D.h.


Member Function Documentation

template<typename _Scalar>
Scalar Eigen::Rotation2D< _Scalar >::angle ( ) const [inline]
Returns:
the rotation angle

Definition at line 60 of file Eigen2Support/Geometry/Rotation2D.h.

template<typename _Scalar>
Scalar& Eigen::Rotation2D< _Scalar >::angle ( ) [inline]
Returns:
a read-write reference to the rotation angle

Definition at line 63 of file Eigen2Support/Geometry/Rotation2D.h.

template<typename _Scalar>
Scalar Eigen::Rotation2D< _Scalar >::angle ( ) const [inline]
Returns:
the rotation angle

Definition at line 65 of file Geometry/Rotation2D.h.

template<typename _Scalar>
Scalar& Eigen::Rotation2D< _Scalar >::angle ( ) [inline]
Returns:
a read-write reference to the rotation angle

Definition at line 68 of file Geometry/Rotation2D.h.

template<typename _Scalar>
template<typename NewScalarType >
internal::cast_return_type<Rotation2D,Rotation2D<NewScalarType> >::type Eigen::Rotation2D< _Scalar >::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 96 of file Eigen2Support/Geometry/Rotation2D.h.

template<typename _Scalar>
template<typename NewScalarType >
internal::cast_return_type<Rotation2D,Rotation2D<NewScalarType> >::type Eigen::Rotation2D< _Scalar >::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 101 of file Geometry/Rotation2D.h.

template<typename Scalar >
template<typename Derived >
Rotation2D< Scalar > & Eigen::Rotation2D< Scalar >::fromRotationMatrix ( const MatrixBase< Derived > &  mat)

Set *this from a 2x2 rotation matrix mat. In other words, this function extract the rotation angle from the rotation matrix.

Definition at line 127 of file Eigen2Support/Geometry/Rotation2D.h.

template<typename _Scalar>
template<typename Derived >
Rotation2D& Eigen::Rotation2D< _Scalar >::fromRotationMatrix ( const MatrixBase< Derived > &  m)
template<typename _Scalar>
static Rotation2D Eigen::Rotation2D< _Scalar >::Identity ( ) [inline, static]

Definition at line 111 of file Geometry/Rotation2D.h.

template<typename _Scalar>
Rotation2D Eigen::Rotation2D< _Scalar >::inverse ( void  ) const [inline]
Returns:
the inverse rotation

Reimplemented from Eigen::RotationBase< Rotation2D< _Scalar >, 2 >.

Definition at line 66 of file Eigen2Support/Geometry/Rotation2D.h.

template<typename _Scalar>
Rotation2D Eigen::Rotation2D< _Scalar >::inverse ( void  ) const [inline]
Returns:
the inverse rotation

Reimplemented from Eigen::RotationBase< Rotation2D< _Scalar >, 2 >.

Definition at line 71 of file Geometry/Rotation2D.h.

template<typename _Scalar>
bool Eigen::Rotation2D< _Scalar >::isApprox ( const Rotation2D< _Scalar > &  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 110 of file Eigen2Support/Geometry/Rotation2D.h.

template<typename _Scalar>
bool Eigen::Rotation2D< _Scalar >::isApprox ( const Rotation2D< _Scalar > &  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()

Definition at line 117 of file Geometry/Rotation2D.h.

template<typename _Scalar>
Rotation2D Eigen::Rotation2D< _Scalar >::operator* ( const Rotation2D< _Scalar > &  other) const [inline]

Concatenates two rotations

Definition at line 69 of file Eigen2Support/Geometry/Rotation2D.h.

template<typename _Scalar>
Rotation2D Eigen::Rotation2D< _Scalar >::operator* ( const Rotation2D< _Scalar > &  other) const [inline]

Concatenates two rotations

Definition at line 74 of file Geometry/Rotation2D.h.

template<typename _Scalar>
Vector2 Eigen::Rotation2D< _Scalar >::operator* ( const Vector2 vec) const [inline]

Applies the rotation to a 2D vector

Definition at line 77 of file Eigen2Support/Geometry/Rotation2D.h.

template<typename _Scalar>
Vector2 Eigen::Rotation2D< _Scalar >::operator* ( const Vector2 vec) const [inline]

Applies the rotation to a 2D vector

Definition at line 82 of file Geometry/Rotation2D.h.

template<typename _Scalar>
Rotation2D& Eigen::Rotation2D< _Scalar >::operator*= ( const Rotation2D< _Scalar > &  other) [inline]

Concatenates two rotations

Definition at line 73 of file Eigen2Support/Geometry/Rotation2D.h.

template<typename _Scalar>
Rotation2D& Eigen::Rotation2D< _Scalar >::operator*= ( const Rotation2D< _Scalar > &  other) [inline]

Concatenates two rotations

Definition at line 78 of file Geometry/Rotation2D.h.

template<typename _Scalar>
Rotation2D Eigen::Rotation2D< _Scalar >::slerp ( Scalar  t,
const Rotation2D< _Scalar > &  other 
) const [inline]
Returns:
the spherical interpolation between *this and other using parameter t. It is in fact equivalent to a linear interpolation.

Definition at line 87 of file Eigen2Support/Geometry/Rotation2D.h.

template<typename _Scalar>
Rotation2D Eigen::Rotation2D< _Scalar >::slerp ( const Scalar t,
const Rotation2D< _Scalar > &  other 
) const [inline]
Returns:
the spherical interpolation between *this and other using parameter t. It is in fact equivalent to a linear interpolation.

Definition at line 92 of file Geometry/Rotation2D.h.

template<typename Scalar >
Rotation2D< Scalar >::Matrix2 Eigen::Rotation2D< Scalar >::toRotationMatrix ( void  ) const

Constructs and

Returns:
an equivalent 2x2 rotation matrix.

Reimplemented from Eigen::RotationBase< Rotation2D< _Scalar >, 2 >.

Definition at line 138 of file Eigen2Support/Geometry/Rotation2D.h.

template<typename _Scalar>
Matrix2 Eigen::Rotation2D< _Scalar >::toRotationMatrix ( void  ) const
Returns:
an equivalent rotation matrix

Reimplemented from Eigen::RotationBase< Rotation2D< _Scalar >, 2 >.


Member Data Documentation

template<typename _Scalar>
Scalar Eigen::Rotation2D< _Scalar >::m_angle [protected]

Definition at line 52 of file Eigen2Support/Geometry/Rotation2D.h.


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


acado
Author(s): Milan Vukov, Rien Quirynen
autogenerated on Thu Aug 27 2015 12:02:01