Represents a 3D rotation as a rotation angle around an arbitrary 3D axis. More...
#include <ForwardDeclarations.h>
Public Types | |
enum | { Dim = 3 } |
enum | { Dim = 3 } |
typedef Matrix< Scalar, 3, 3 > | Matrix3 |
typedef Matrix< Scalar, 3, 3 > | Matrix3 |
typedef Quaternion< Scalar > | QuaternionType |
typedef Quaternion< Scalar > | QuaternionType |
typedef _Scalar | Scalar |
typedef _Scalar | Scalar |
typedef Matrix< Scalar, 3, 1 > | Vector3 |
typedef Matrix< Scalar, 3, 1 > | Vector3 |
Public Types inherited from Eigen::RotationBase< AngleAxis< _Scalar >, 3 > | |
enum | |
enum | |
typedef Matrix< Scalar, Dim, Dim > | RotationMatrixType |
typedef Matrix< Scalar, Dim, Dim > | RotationMatrixType |
typedef ei_traits< AngleAxis< _Scalar > >::Scalar | Scalar |
typedef internal::traits< AngleAxis< _Scalar > >::Scalar | Scalar |
typedef Matrix< Scalar, Dim, 1 > | VectorType |
Public Member Functions | |
Scalar | angle () const |
Scalar & | angle () |
Scalar | angle () const |
Scalar & | angle () |
AngleAxis () | |
AngleAxis () | |
template<typename Derived > | |
AngleAxis (Scalar angle, const MatrixBase< Derived > &axis) | |
AngleAxis (const QuaternionType &q) | |
template<typename Derived > | |
AngleAxis (const MatrixBase< Derived > &m) | |
template<typename Derived > | |
AngleAxis (const Scalar &angle, const MatrixBase< Derived > &axis) | |
template<typename QuatDerived > | |
AngleAxis (const QuaternionBase< QuatDerived > &q) | |
template<typename Derived > | |
AngleAxis (const MatrixBase< Derived > &m) | |
template<typename OtherScalarType > | |
AngleAxis (const AngleAxis< OtherScalarType > &other) | |
template<typename OtherScalarType > | |
AngleAxis (const AngleAxis< OtherScalarType > &other) | |
const Vector3 & | axis () const |
Vector3 & | axis () |
const Vector3 & | axis () const |
Vector3 & | axis () |
template<typename NewScalarType > | |
internal::cast_return_type< AngleAxis, AngleAxis< NewScalarType > >::type | cast () const |
template<typename NewScalarType > | |
internal::cast_return_type< AngleAxis, AngleAxis< NewScalarType > >::type | cast () const |
template<typename Derived > | |
AngleAxis & | fromRotationMatrix (const MatrixBase< Derived > &m) |
template<typename Derived > | |
AngleAxis & | fromRotationMatrix (const MatrixBase< Derived > &m) |
template<typename Derived > | |
AngleAxis< Scalar > & | fromRotationMatrix (const MatrixBase< Derived > &mat) |
Sets *this from a 3x3 rotation matrix. More... | |
AngleAxis | inverse () const |
AngleAxis | inverse () const |
bool | isApprox (const AngleAxis &other, const typename NumTraits< Scalar >::Real &prec=NumTraits< Scalar >::dummy_precision()) const |
bool | isApprox (const AngleAxis &other, typename NumTraits< Scalar >::Real prec=precision< Scalar >()) const |
QuaternionType | operator* (const AngleAxis &other) const |
QuaternionType | operator* (const QuaternionType &other) const |
QuaternionType | operator* (const AngleAxis &other) const |
QuaternionType | operator* (const QuaternionType &other) const |
Matrix3 | operator* (const Matrix3 &other) const |
Vector3 | operator* (const Vector3 &other) const |
template<class QuatDerived > | |
AngleAxis & | operator= (const QuaternionBase< QuatDerived > &q) |
template<typename Derived > | |
AngleAxis & | operator= (const MatrixBase< Derived > &m) |
AngleAxis & | operator= (const QuaternionType &q) |
template<typename Derived > | |
AngleAxis & | operator= (const MatrixBase< Derived > &m) |
template<typename QuatDerived > | |
AngleAxis< Scalar > & | operator= (const QuaternionBase< QuatDerived > &q) |
template<typename Derived > | |
AngleAxis< Scalar > & | operator= (const MatrixBase< Derived > &mat) |
Matrix3 | toRotationMatrix (void) const |
Matrix3 | toRotationMatrix (void) const |
Public Member Functions inherited from Eigen::RotationBase< AngleAxis< _Scalar >, 3 > | |
VectorType | _transformVector (const OtherVectorType &v) const |
const AngleAxis< _Scalar > & | derived () const |
AngleAxis< _Scalar > & | derived () |
const AngleAxis< _Scalar > & | derived () const |
AngleAxis< _Scalar > & | derived () |
AngleAxis< _Scalar > | inverse () const |
AngleAxis< _Scalar > | inverse () const |
RotationMatrixType | matrix () const |
Transform< Scalar, Dim > | operator* (const Translation< Scalar, Dim > &t) const |
RotationMatrixType | operator* (const Scaling< Scalar, Dim > &s) const |
Transform< Scalar, Dim > | operator* (const Transform< Scalar, Dim > &t) const |
Transform< Scalar, Dim, Isometry > | operator* (const Translation< Scalar, Dim > &t) const |
RotationMatrixType | operator* (const UniformScaling< Scalar > &s) const |
EIGEN_STRONG_INLINE internal::rotation_base_generic_product_selector< AngleAxis< _Scalar >, OtherDerived, OtherDerived::IsVectorAtCompileTime >::ReturnType | operator* (const EigenBase< OtherDerived > &e) const |
Transform< Scalar, Dim, Mode > | operator* (const Transform< Scalar, Dim, Mode, Options > &t) const |
RotationMatrixType | toRotationMatrix () const |
RotationMatrixType | toRotationMatrix () const |
Static Public Member Functions | |
static const AngleAxis | Identity () |
Protected Attributes | |
Scalar | m_angle |
Vector3 | m_axis |
Private Types | |
typedef RotationBase< AngleAxis< _Scalar >, 3 > | Base |
typedef RotationBase< AngleAxis< _Scalar >, 3 > | Base |
Friends | |
QuaternionType | operator* (const QuaternionType &a, const AngleAxis &b) |
QuaternionType | operator* (const QuaternionType &a, const AngleAxis &b) |
Matrix3 | operator* (const Matrix3 &a, const AngleAxis &b) |
Represents a 3D rotation as a rotation angle around an arbitrary 3D axis.
_Scalar | the scalar type, i.e., the type of the coefficients. |
The following two typedefs are provided for convenience:
AngleAxisf
for float
AngleAxisd
for double
AngleAxisForEuler How to define a rotation from Euler-angles
Combined with MatrixBase::Unit{X,Y,Z}, AngleAxis can be used to easily mimic Euler-angles. Here is an example:
_Scalar | the scalar type, i.e., the type of the coefficients. |
The following two typedefs are provided for convenience:
AngleAxisf
for float
AngleAxisd
for double
Combined with MatrixBase::Unit{X,Y,Z}, AngleAxis can be used to easily mimic Euler-angles. Here is an example:
Definition at line 235 of file ForwardDeclarations.h.
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Definition at line 48 of file Eigen2Support/Geometry/AngleAxis.h.
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Definition at line 51 of file Geometry/AngleAxis.h.
typedef Matrix<Scalar,3,3> Eigen::AngleAxis< _Scalar >::Matrix3 |
Definition at line 57 of file Eigen2Support/Geometry/AngleAxis.h.
typedef Matrix<Scalar,3,3> Eigen::AngleAxis< _Scalar >::Matrix3 |
Definition at line 60 of file Geometry/AngleAxis.h.
typedef Quaternion<Scalar> Eigen::AngleAxis< _Scalar >::QuaternionType |
Definition at line 59 of file Eigen2Support/Geometry/AngleAxis.h.
typedef Quaternion<Scalar> Eigen::AngleAxis< _Scalar >::QuaternionType |
Definition at line 62 of file Geometry/AngleAxis.h.
typedef _Scalar Eigen::AngleAxis< _Scalar >::Scalar |
the scalar type of the coefficients
Definition at line 56 of file Eigen2Support/Geometry/AngleAxis.h.
typedef _Scalar Eigen::AngleAxis< _Scalar >::Scalar |
the scalar type of the coefficients
Definition at line 59 of file Geometry/AngleAxis.h.
typedef Matrix<Scalar,3,1> Eigen::AngleAxis< _Scalar >::Vector3 |
Definition at line 58 of file Eigen2Support/Geometry/AngleAxis.h.
typedef Matrix<Scalar,3,1> Eigen::AngleAxis< _Scalar >::Vector3 |
Definition at line 61 of file Geometry/AngleAxis.h.
anonymous enum |
Enumerator | |
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Dim |
Definition at line 54 of file Eigen2Support/Geometry/AngleAxis.h.
anonymous enum |
Enumerator | |
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Dim |
Definition at line 57 of file Geometry/AngleAxis.h.
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Default constructor without initialization.
Definition at line 69 of file Eigen2Support/Geometry/AngleAxis.h.
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Constructs and initialize the angle-axis rotation from an angle in radian and an axis which must be normalized.
Definition at line 73 of file Eigen2Support/Geometry/AngleAxis.h.
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Constructs and initialize the angle-axis rotation from a quaternion q.
Definition at line 75 of file Eigen2Support/Geometry/AngleAxis.h.
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inlineexplicit |
Constructs and initialize the angle-axis rotation from a 3x3 rotation matrix.
Definition at line 78 of file Eigen2Support/Geometry/AngleAxis.h.
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inlineexplicit |
Copy constructor with scalar type conversion
Definition at line 133 of file Eigen2Support/Geometry/AngleAxis.h.
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Default constructor without initialization.
Definition at line 72 of file Geometry/AngleAxis.h.
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Constructs and initialize the angle-axis rotation from an angle in radian and an axis which must be normalized.
Definition at line 79 of file Geometry/AngleAxis.h.
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inlineexplicit |
Constructs and initialize the angle-axis rotation from a quaternion q.
Definition at line 81 of file Geometry/AngleAxis.h.
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inlineexplicit |
Constructs and initialize the angle-axis rotation from a 3x3 rotation matrix.
Definition at line 84 of file Geometry/AngleAxis.h.
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inlineexplicit |
Copy constructor with scalar type conversion
Definition at line 128 of file Geometry/AngleAxis.h.
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Definition at line 80 of file Eigen2Support/Geometry/AngleAxis.h.
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Definition at line 81 of file Eigen2Support/Geometry/AngleAxis.h.
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Definition at line 86 of file Geometry/AngleAxis.h.
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Definition at line 87 of file Geometry/AngleAxis.h.
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Definition at line 83 of file Eigen2Support/Geometry/AngleAxis.h.
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Definition at line 84 of file Eigen2Support/Geometry/AngleAxis.h.
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Definition at line 89 of file Geometry/AngleAxis.h.
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Definition at line 90 of file Geometry/AngleAxis.h.
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*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 123 of file Geometry/AngleAxis.h.
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*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 128 of file Eigen2Support/Geometry/AngleAxis.h.
AngleAxis& Eigen::AngleAxis< _Scalar >::fromRotationMatrix | ( | const MatrixBase< Derived > & | m | ) |
AngleAxis& Eigen::AngleAxis< _Scalar >::fromRotationMatrix | ( | const MatrixBase< Derived > & | m | ) |
AngleAxis<Scalar>& Eigen::AngleAxis< _Scalar >::fromRotationMatrix | ( | const MatrixBase< Derived > & | mat | ) |
Sets *this
from a 3x3 rotation matrix.
Definition at line 195 of file Geometry/AngleAxis.h.
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Definition at line 134 of file Geometry/AngleAxis.h.
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Definition at line 105 of file Geometry/AngleAxis.h.
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Definition at line 111 of file Eigen2Support/Geometry/AngleAxis.h.
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true
if *this
is approximately equal to other, within the precision determined by prec.Definition at line 140 of file Geometry/AngleAxis.h.
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true
if *this
is approximately equal to other, within the precision determined by prec.Definition at line 143 of file Eigen2Support/Geometry/AngleAxis.h.
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Concatenates two rotations
Definition at line 87 of file Eigen2Support/Geometry/AngleAxis.h.
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Concatenates two rotations
Definition at line 91 of file Eigen2Support/Geometry/AngleAxis.h.
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Concatenates two rotations
Definition at line 93 of file Geometry/AngleAxis.h.
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Concatenates two rotations
Definition at line 97 of file Geometry/AngleAxis.h.
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Concatenates two rotations
Definition at line 99 of file Eigen2Support/Geometry/AngleAxis.h.
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Applies rotation to vector
Definition at line 107 of file Eigen2Support/Geometry/AngleAxis.h.
AngleAxis& Eigen::AngleAxis< _Scalar >::operator= | ( | const QuaternionBase< QuatDerived > & | q | ) |
AngleAxis& Eigen::AngleAxis< _Scalar >::operator= | ( | const MatrixBase< Derived > & | m | ) |
AngleAxis< Scalar > & Eigen::AngleAxis< Scalar >::operator= | ( | const QuaternionType & | q | ) |
Set *this
from a quaternion. The axis is normalized.
Definition at line 158 of file Eigen2Support/Geometry/AngleAxis.h.
AngleAxis& Eigen::AngleAxis< _Scalar >::operator= | ( | const MatrixBase< Derived > & | m | ) |
AngleAxis<Scalar>& Eigen::AngleAxis< _Scalar >::operator= | ( | const QuaternionBase< QuatDerived > & | q | ) |
Set *this
from a unit quaternion. The axis is normalized.
Definition at line 159 of file Geometry/AngleAxis.h.
AngleAxis< Scalar > & Eigen::AngleAxis< Scalar >::operator= | ( | const MatrixBase< Derived > & | mat | ) |
Set *this
from a 3x3 rotation matrix mat.
Definition at line 178 of file Eigen2Support/Geometry/AngleAxis.h.
Matrix3 Eigen::AngleAxis< _Scalar >::toRotationMatrix | ( | void | ) | const |
AngleAxis< Scalar >::Matrix3 Eigen::AngleAxis< Scalar >::toRotationMatrix | ( | void | ) | const |
Constructs and
Definition at line 189 of file Eigen2Support/Geometry/AngleAxis.h.
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Concatenates two rotations
Definition at line 95 of file Eigen2Support/Geometry/AngleAxis.h.
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Concatenates two rotations
Definition at line 101 of file Geometry/AngleAxis.h.
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Concatenates two rotations
Definition at line 103 of file Eigen2Support/Geometry/AngleAxis.h.
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Definition at line 64 of file Eigen2Support/Geometry/AngleAxis.h.
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Definition at line 63 of file Eigen2Support/Geometry/AngleAxis.h.