#include <Transform3D.h>
Public Types | |
| enum | ETransform3DMatrixIndex { kXX = 0, kXY = 1, kXZ = 2, kDX = 3, kYX = 4, kYY = 5, kYZ = 6, kDY = 7, kZX = 8, kZY = 9, kZZ = 10, kDZ = 11 } |
| typedef DisplacementVector3D < Cartesian3D< double > , DefaultCoordinateSystemTag > | Vector |
| typedef PositionVector3D < Cartesian3D< double > , DefaultCoordinateSystemTag > | Point |
Public Member Functions | |
| Transform3D () | |
| Default constructor (identy rotation) + zero translation. | |
| template<class IT > | |
| Transform3D (IT begin, IT end) | |
| Construct given a pair of pointers or iterators defining the beginning and end of an array of 12 Scalars. | |
| Transform3D (const Rotation3D &r, const Vector &v) | |
| Construct from a rotation and then a translation described by a Vector. | |
| Transform3D (const Rotation3D &r, const Translation3D &t) | |
| Construct from a rotation and then a translation described by a Translation3D class. | |
| template<class ARotation , class CoordSystem , class Tag > | |
| Transform3D (const ARotation &r, const DisplacementVector3D< CoordSystem, Tag > &v) | |
| Construct from a rotation (any rotation object) and then a translation (represented by any DisplacementVector) The requirements on the rotation and vector objects are that they can be transformed in a Rotation3D class and in a Cartesian3D Vector. | |
| template<class ARotation > | |
| Transform3D (const ARotation &r, const Translation3D &t) | |
| Construct from a rotation (any rotation object) and then a translation represented by a Translation3D class The requirements on the rotation is that it can be transformed in a Rotation3D class. | |
| Transform3D (const Rotation3D &r) | |
| Construct from a 3D Rotation only with zero translation. | |
| Transform3D (const AxisAngle &r) | |
| Transform3D (const EulerAngles &r) | |
| Transform3D (const Quaternion &r) | |
| Transform3D (const RotationZYX &r) | |
| Transform3D (const RotationX &r) | |
| Transform3D (const RotationY &r) | |
| Transform3D (const RotationZ &r) | |
| template<class CoordSystem , class Tag > | |
| Transform3D (const DisplacementVector3D< CoordSystem, Tag > &v) | |
| Construct from a translation only, represented by any DisplacementVector3D and with an identity rotation. | |
| Transform3D (const Vector &v) | |
| Construct from a translation only, represented by a Cartesian 3D Vector, and with an identity rotation. | |
| Transform3D (const Translation3D &t) | |
| Construct from a translation only, represented by a Translation3D class and with an identity rotation. | |
| Transform3D (const Point &fr0, const Point &fr1, const Point &fr2, const Point &to0, const Point &to1, const Point &to2) | |
| Construct transformation from one coordinate system defined by three points (origin + two axis) to a new coordinate system defined by other three points (origin + axis). | |
| template<class ForeignMatrix > | |
| Transform3D (const ForeignMatrix &m) | |
| Construct from a linear algebra matrix of size at least 3x4, which must support operator()(i,j) to obtain elements (0,0) thru (2,3). | |
| Transform3D (double xx, double xy, double xz, double dx, double yx, double yy, double yz, double dy, double zx, double zy, double zz, double dz) | |
| Raw constructor from 12 Scalar components. | |
| template<class ForeignMatrix > | |
| Transform3D & | operator= (const ForeignMatrix &m) |
| Construct from a linear algebra matrix of size at least 3x4, which must support operator()(i,j) to obtain elements (0,0) thru (2,3). | |
| template<class IT > | |
| void | SetComponents (IT begin, IT end) |
| Set the 12 matrix components given an iterator to the start of the desired data, and another to the end (12 past start). | |
| template<class IT > | |
| void | GetComponents (IT begin, IT end) const |
| Get the 12 matrix components into data specified by an iterator begin and another to the end of the desired data (12 past start). | |
| template<class IT > | |
| void | GetComponents (IT begin) const |
| Get the 12 matrix components into data specified by an iterator begin. | |
| template<class ForeignMatrix > | |
| void | SetTransformMatrix (const ForeignMatrix &m) |
| Set components from a linear algebra matrix of size at least 3x4, which must support operator()(i,j) to obtain elements (0,0) thru (2,3). | |
| template<class ForeignMatrix > | |
| void | GetTransformMatrix (ForeignMatrix &m) const |
| Get components into a linear algebra matrix of size at least 3x4, which must support operator()(i,j) for write access to elements (0,0) thru (2,3). | |
| void | SetComponents (double xx, double xy, double xz, double dx, double yx, double yy, double yz, double dy, double zx, double zy, double zz, double dz) |
| Set the components from 12 scalars. | |
| void | GetComponents (double &xx, double &xy, double &xz, double &dx, double &yx, double &yy, double &yz, double &dy, double &zx, double &zy, double &zz, double &dz) const |
| Get the components into 12 scalars. | |
| template<class AnyRotation , class V > | |
| void | GetDecomposition (AnyRotation &r, V &v) const |
| Get the rotation and translation vector representing the 3D transformation in any rotation and any vector (the Translation class could also be used). | |
| void | GetDecomposition (Rotation3D &r, Vector &v) const |
| Get the rotation and translation vector representing the 3D transformation. | |
| Rotation3D | Rotation () const |
| Get the 3D rotation representing the 3D transformation. | |
| template<class AnyRotation > | |
| AnyRotation | Rotation () const |
| Get the rotation representing the 3D transformation. | |
| template<class AnyRotation > | |
| void | GetRotation (AnyRotation &r) const |
| Get the rotation (any type) representing the 3D transformation. | |
| Translation3D | Translation () const |
| Get the translation representing the 3D transformation in a Cartesian vector. | |
| template<class AnyVector > | |
| void | GetTranslation (AnyVector &v) const |
| Get the translation representing the 3D transformation in any vector which implements the SetXYZ method. | |
| Point | operator() (const Point &p) const |
| Transformation operation for Position Vector in Cartesian coordinate For a Position Vector first a rotation and then a translation is applied. | |
| Vector | operator() (const Vector &v) const |
| Transformation operation for Displacement Vectors in Cartesian coordinate For the Displacement Vectors only the rotation applies - no translations. | |
| template<class CoordSystem > | |
| PositionVector3D< CoordSystem > | operator() (const PositionVector3D< CoordSystem > &p) const |
| Transformation operation for Position Vector in any coordinate system. | |
| template<class CoordSystem > | |
| DisplacementVector3D< CoordSystem > | operator() (const DisplacementVector3D< CoordSystem > &v) const |
| Transformation operation for Displacement Vector in any coordinate system. | |
| template<class CoordSystem , class Tag1 , class Tag2 > | |
| void | Transform (const PositionVector3D< CoordSystem, Tag1 > &p1, PositionVector3D< CoordSystem, Tag2 > &p2) const |
| Transformation operation for points between different coordinate system tags. | |
| template<class CoordSystem , class Tag1 , class Tag2 > | |
| void | Transform (const DisplacementVector3D< CoordSystem, Tag1 > &v1, DisplacementVector3D< CoordSystem, Tag2 > &v2) const |
| Transformation operation for Displacement Vector of different coordinate systems. | |
| template<class CoordSystem > | |
| LorentzVector< CoordSystem > | operator() (const LorentzVector< CoordSystem > &q) const |
| Transformation operation for a Lorentz Vector in any coordinate system. | |
| Plane3D | operator() (const Plane3D &plane) const |
| Transformation on a 3D plane. | |
| template<class AVector > | |
| AVector | operator* (const AVector &v) const |
| Transformation operation for Vectors. | |
| Transform3D & | operator*= (const Transform3D &t) |
| multiply (combine) with another transformation in place | |
| Transform3D | operator* (const Transform3D &t) const |
| multiply (combine) two transformations | |
| void | Invert () |
| Invert the transformation in place. | |
| Transform3D | Inverse () const |
| Return the inverse of the transformation. | |
| bool | operator== (const Transform3D &rhs) const |
| Equality operator. | |
| bool | operator!= (const Transform3D &rhs) const |
| Inequality operator. | |
Protected Member Functions | |
| void | AssignFrom (const Rotation3D &r, const Vector &v) |
| make transformation from first a rotation then a translation | |
| void | AssignFrom (const Rotation3D &r) |
| make transformation from only rotations (zero translation) | |
| void | AssignFrom (const Vector &v) |
| make transformation from only translation (identity rotations) | |
| void | SetIdentity () |
| Set identity transformation (identity rotation , zero translation). | |
They are represented and held in this class like a 3x4 matrix (a simple array of 12 numbers).
The class can be constructed from any 3D rotation object (ROOT::Math::Rotation3D, ROOT::Math::AxisAngle, ROOT::Math::Quaternion, etc...) and/or a 3D Vector (ROOT::Math::DislacementVector3D or via ROOT::Math::Translation ) representing a Translation. The Transformation is defined by applying first the rotation and then the translation. A transformation defined by applying first a translation and then a rotation is equivalent to the transformation obtained applying first the rotation and then a translation equivalent to the rotated vector. The operator * can be used to obtain directly such transformations, in addition to combine various transformations. Keep in mind that the operator * (like in the case of rotations ) is not commutative. The operator * is used (in addition to operator() ) to apply a transformations on the vector (DisplacementVector3D and LorentzVector classes) and point (PositionVector3D) classes. In the case of Vector objects the transformation only rotates them and does not translate them. Only Point objects are able to be both rotated and translated.
Definition at line 85 of file GenVector/Transform3D.h.
| typedef PositionVector3D<Cartesian3D<double>, DefaultCoordinateSystemTag > ROOT::Math::Transform3D::Point |
Definition at line 91 of file GenVector/Transform3D.h.
| typedef DisplacementVector3D<Cartesian3D<double>, DefaultCoordinateSystemTag > ROOT::Math::Transform3D::Vector |
Definition at line 90 of file GenVector/Transform3D.h.
Definition at line 94 of file GenVector/Transform3D.h.
| ROOT::Math::Transform3D::Transform3D | ( | ) | [inline] |
Default constructor (identy rotation) + zero translation.
Definition at line 105 of file GenVector/Transform3D.h.
References SetIdentity().
Referenced by operator*().
| ROOT::Math::Transform3D::Transform3D | ( | IT | begin, | |
| IT | end | |||
| ) | [inline] |
Construct given a pair of pointers or iterators defining the beginning and end of an array of 12 Scalars.
Definition at line 115 of file GenVector/Transform3D.h.
References SetComponents().
| ROOT::Math::Transform3D::Transform3D | ( | const Rotation3D & | r, | |
| const Vector & | v | |||
| ) | [inline] |
Construct from a rotation and then a translation described by a Vector.
Definition at line 123 of file GenVector/Transform3D.h.
References AssignFrom().
| ROOT::Math::Transform3D::Transform3D | ( | const Rotation3D & | r, | |
| const Translation3D & | t | |||
| ) | [inline] |
Construct from a rotation and then a translation described by a Translation3D class.
Definition at line 130 of file GenVector/Transform3D.h.
References AssignFrom(), and ROOT::Math::Translation3D::Vect().
| ROOT::Math::Transform3D::Transform3D | ( | const ARotation & | r, | |
| const DisplacementVector3D< CoordSystem, Tag > & | v | |||
| ) | [inline] |
Construct from a rotation (any rotation object) and then a translation (represented by any DisplacementVector) The requirements on the rotation and vector objects are that they can be transformed in a Rotation3D class and in a Cartesian3D Vector.
Definition at line 142 of file GenVector/Transform3D.h.
References AssignFrom(), ROOT::Math::DisplacementVector3D< CoordSystem, Tag >::X(), ROOT::Math::DisplacementVector3D< CoordSystem, Tag >::Y(), and ROOT::Math::DisplacementVector3D< CoordSystem, Tag >::Z().
| ROOT::Math::Transform3D::Transform3D | ( | const ARotation & | r, | |
| const Translation3D & | t | |||
| ) | [inline] |
Construct from a rotation (any rotation object) and then a translation represented by a Translation3D class The requirements on the rotation is that it can be transformed in a Rotation3D class.
Definition at line 154 of file GenVector/Transform3D.h.
References AssignFrom(), and ROOT::Math::Translation3D::Vect().
| ROOT::Math::Transform3D::Transform3D | ( | const Rotation3D & | r | ) | [inline, explicit] |
Construct from a 3D Rotation only with zero translation.
Definition at line 174 of file GenVector/Transform3D.h.
References AssignFrom().
| ROOT::Math::Transform3D::Transform3D | ( | const AxisAngle & | r | ) | [inline, explicit] |
| ROOT::Math::Transform3D::Transform3D | ( | const EulerAngles & | r | ) | [inline, explicit] |
| ROOT::Math::Transform3D::Transform3D | ( | const Quaternion & | r | ) | [inline, explicit] |
| ROOT::Math::Transform3D::Transform3D | ( | const RotationZYX & | r | ) | [inline, explicit] |
| ROOT::Math::Transform3D::Transform3D | ( | const RotationX & | r | ) | [inline, explicit] |
| ROOT::Math::Transform3D::Transform3D | ( | const RotationY & | r | ) | [inline, explicit] |
| ROOT::Math::Transform3D::Transform3D | ( | const RotationZ & | r | ) | [inline, explicit] |
| ROOT::Math::Transform3D::Transform3D | ( | const DisplacementVector3D< CoordSystem, Tag > & | v | ) | [inline, explicit] |
Construct from a translation only, represented by any DisplacementVector3D and with an identity rotation.
Definition at line 211 of file GenVector/Transform3D.h.
References AssignFrom(), ROOT::Math::DisplacementVector3D< CoordSystem, Tag >::X(), ROOT::Math::DisplacementVector3D< CoordSystem, Tag >::Y(), and ROOT::Math::DisplacementVector3D< CoordSystem, Tag >::Z().
| ROOT::Math::Transform3D::Transform3D | ( | const Vector & | v | ) | [inline, explicit] |
Construct from a translation only, represented by a Cartesian 3D Vector, and with an identity rotation.
Definition at line 218 of file GenVector/Transform3D.h.
References AssignFrom().
| ROOT::Math::Transform3D::Transform3D | ( | const Translation3D & | t | ) | [inline, explicit] |
Construct from a translation only, represented by a Translation3D class and with an identity rotation.
Definition at line 225 of file GenVector/Transform3D.h.
References AssignFrom(), and ROOT::Math::Translation3D::Vect().
| ROOT::Math::Transform3D::Transform3D | ( | const Point & | fr0, | |
| const Point & | fr1, | |||
| const Point & | fr2, | |||
| const Point & | to0, | |||
| const Point & | to1, | |||
| const Point & | to2 | |||
| ) |
Construct transformation from one coordinate system defined by three points (origin + two axis) to a new coordinate system defined by other three points (origin + axis).
| fr0 | point defining origin of original reference system | |
| fr1 | point defining first axis of original reference system | |
| fr2 | point defining second axis of original reference system | |
| to0 | point defining origin of transformed reference system | |
| to1 | point defining first axis transformed reference system | |
| to2 | point defining second axis transformed reference system |
Definition at line 41 of file Transform3D.cxx.
References ROOT::Math::DisplacementVector3D< CoordSystem, Tag >::Cross(), ROOT::Math::DisplacementVector3D< CoordSystem, Tag >::Dot(), ROOT::Math::fabs(), SetComponents(), SetIdentity(), ROOT::Math::Unit(), ROOT::Math::PositionVector3D< CoordSystem, Tag >::x(), ROOT::Math::DisplacementVector3D< CoordSystem, Tag >::x(), ROOT::Math::PositionVector3D< CoordSystem, Tag >::y(), ROOT::Math::DisplacementVector3D< CoordSystem, Tag >::y(), ROOT::Math::PositionVector3D< CoordSystem, Tag >::z(), and ROOT::Math::DisplacementVector3D< CoordSystem, Tag >::z().
| ROOT::Math::Transform3D::Transform3D | ( | const ForeignMatrix & | m | ) | [inline, explicit] |
Construct from a linear algebra matrix of size at least 3x4, which must support operator()(i,j) to obtain elements (0,0) thru (2,3).
The 3x3 sub-block is assumed to be the rotation part and the translations vector are described by the 4-th column
Definition at line 277 of file GenVector/Transform3D.h.
References SetComponents().
| ROOT::Math::Transform3D::Transform3D | ( | double | xx, | |
| double | xy, | |||
| double | xz, | |||
| double | dx, | |||
| double | yx, | |||
| double | yy, | |||
| double | yz, | |||
| double | dy, | |||
| double | zx, | |||
| double | zy, | |||
| double | zz, | |||
| double | dz | |||
| ) | [inline] |
Raw constructor from 12 Scalar components.
Definition at line 284 of file GenVector/Transform3D.h.
References SetComponents().
| void ROOT::Math::Transform3D::AssignFrom | ( | const Vector & | v | ) | [protected] |
make transformation from only translation (identity rotations)
Definition at line 195 of file Transform3D.cxx.
References kDX, kDY, kDZ, kXX, kXY, kXZ, kYX, kYY, kYZ, kZX, kZY, kZZ, ROOT::Math::DisplacementVector3D< CoordSystem, Tag >::X(), ROOT::Math::DisplacementVector3D< CoordSystem, Tag >::Y(), and ROOT::Math::DisplacementVector3D< CoordSystem, Tag >::Z().
| void ROOT::Math::Transform3D::AssignFrom | ( | const Rotation3D & | r | ) | [protected] |
make transformation from only rotations (zero translation)
Definition at line 182 of file Transform3D.cxx.
References ROOT::Math::Rotation3D::GetComponents().
| void ROOT::Math::Transform3D::AssignFrom | ( | const Rotation3D & | r, | |
| const Vector & | v | |||
| ) | [protected] |
make transformation from first a rotation then a translation
Definition at line 157 of file Transform3D.cxx.
References ROOT::Math::Rotation3D::GetComponents(), ROOT::Math::DisplacementVector3D< CoordSystem, Tag >::GetCoordinates(), kDX, kDY, kDZ, kYX, and kZX.
Referenced by Transform3D().
| void ROOT::Math::Transform3D::GetComponents | ( | double & | xx, | |
| double & | xy, | |||
| double & | xz, | |||
| double & | dx, | |||
| double & | yx, | |||
| double & | yy, | |||
| double & | yz, | |||
| double & | dy, | |||
| double & | zx, | |||
| double & | zy, | |||
| double & | zz, | |||
| double & | dz | |||
| ) | const [inline] |
| void ROOT::Math::Transform3D::GetComponents | ( | IT | begin | ) | const [inline] |
Get the 12 matrix components into data specified by an iterator begin.
Definition at line 338 of file GenVector/Transform3D.h.
| void ROOT::Math::Transform3D::GetComponents | ( | IT | begin, | |
| IT | end | |||
| ) | const [inline] |
Get the 12 matrix components into data specified by an iterator begin and another to the end of the desired data (12 past start).
Definition at line 326 of file GenVector/Transform3D.h.
Referenced by ROOT::Math::operator<<().
| void ROOT::Math::Transform3D::GetDecomposition | ( | Rotation3D & | r, | |
| Vector & | v | |||
| ) | const [inline] |
Get the rotation and translation vector representing the 3D transformation.
Definition at line 409 of file GenVector/Transform3D.h.
References GetRotation(), and GetTranslation().
| void ROOT::Math::Transform3D::GetDecomposition | ( | AnyRotation & | r, | |
| V & | v | |||
| ) | const [inline] |
Get the rotation and translation vector representing the 3D transformation in any rotation and any vector (the Translation class could also be used).
Definition at line 400 of file GenVector/Transform3D.h.
References GetRotation(), and GetTranslation().
| void ROOT::Math::Transform3D::GetRotation | ( | AnyRotation & | r | ) | const [inline] |
Get the rotation (any type) representing the 3D transformation.
Definition at line 437 of file GenVector/Transform3D.h.
References Rotation().
Referenced by GetDecomposition().
| void ROOT::Math::Transform3D::GetTransformMatrix | ( | ForeignMatrix & | m | ) | const [inline] |
| void ROOT::Math::Transform3D::GetTranslation | ( | AnyVector & | v | ) | const [inline] |
Get the translation representing the 3D transformation in any vector which implements the SetXYZ method.
Definition at line 453 of file GenVector/Transform3D.h.
Referenced by GetDecomposition().
| Transform3D ROOT::Math::Transform3D::Inverse | ( | ) | const [inline] |
Return the inverse of the transformation.
Definition at line 568 of file GenVector/Transform3D.h.
References Invert().
| void ROOT::Math::Transform3D::Invert | ( | ) |
| bool ROOT::Math::Transform3D::operator!= | ( | const Transform3D & | rhs | ) | const [inline] |
Inequality operator.
Check equality for each element To do: use double tolerance
Definition at line 599 of file GenVector/Transform3D.h.
References operator==().
Transformation on a 3D plane.
Definition at line 203 of file Transform3D.cxx.
References ROOT::Math::Plane3D::HesseDistance(), ROOT::Math::Plane3D::Normal(), ROOT::Math::DisplacementVector3D< CoordSystem, Tag >::X(), ROOT::Math::DisplacementVector3D< CoordSystem, Tag >::Y(), and ROOT::Math::DisplacementVector3D< CoordSystem, Tag >::Z().
| LorentzVector<CoordSystem> ROOT::Math::Transform3D::operator() | ( | const LorentzVector< CoordSystem > & | q | ) | const [inline] |
Transformation operation for a Lorentz Vector in any coordinate system.
Definition at line 524 of file GenVector/Transform3D.h.
References ROOT::Math::LorentzVector< CoordSystem >::E(), operator()(), ROOT::Math::LorentzVector< CoordSystem >::Vect(), ROOT::Math::DisplacementVector3D< CoordSystem, Tag >::X(), ROOT::Math::DisplacementVector3D< CoordSystem, Tag >::Y(), and ROOT::Math::DisplacementVector3D< CoordSystem, Tag >::Z().
| DisplacementVector3D<CoordSystem> ROOT::Math::Transform3D::operator() | ( | const DisplacementVector3D< CoordSystem > & | v | ) | const [inline] |
Transformation operation for Displacement Vector in any coordinate system.
Definition at line 496 of file GenVector/Transform3D.h.
References operator()().
| PositionVector3D<CoordSystem> ROOT::Math::Transform3D::operator() | ( | const PositionVector3D< CoordSystem > & | p | ) | const [inline] |
Transformation operation for Position Vector in any coordinate system.
Definition at line 487 of file GenVector/Transform3D.h.
References operator()().
Transformation operation for Displacement Vectors in Cartesian coordinate For the Displacement Vectors only the rotation applies - no translations.
Definition at line 476 of file GenVector/Transform3D.h.
References kXX, kXY, kXZ, kYX, kYY, kYZ, kZX, kZY, kZZ, ROOT::Math::DisplacementVector3D< CoordSystem, Tag >::X(), ROOT::Math::DisplacementVector3D< CoordSystem, Tag >::Y(), and ROOT::Math::DisplacementVector3D< CoordSystem, Tag >::Z().
Transformation operation for Position Vector in Cartesian coordinate For a Position Vector first a rotation and then a translation is applied.
Definition at line 465 of file GenVector/Transform3D.h.
References kDX, kDY, kDZ, kXX, kXY, kXZ, kYX, kYY, kYZ, kZX, kZY, kZZ, ROOT::Math::PositionVector3D< CoordSystem, Tag >::X(), ROOT::Math::PositionVector3D< CoordSystem, Tag >::Y(), and ROOT::Math::PositionVector3D< CoordSystem, Tag >::Z().
Referenced by operator()(), operator*(), and Transform().
| Transform3D ROOT::Math::Transform3D::operator* | ( | const Transform3D & | t | ) | const [inline] |
| AVector ROOT::Math::Transform3D::operator* | ( | const AVector & | v | ) | const [inline] |
Transformation operation for Vectors.
Apply same rules as operator() depending on type of vector. Will work only for DisplacementVector3D, PositionVector3D and LorentzVector
Definition at line 544 of file GenVector/Transform3D.h.
References operator()().
| Transform3D & ROOT::Math::Transform3D::operator*= | ( | const Transform3D & | t | ) | [inline] |
| Transform3D& ROOT::Math::Transform3D::operator= | ( | const ForeignMatrix & | m | ) | [inline] |
Construct from a linear algebra matrix of size at least 3x4, which must support operator()(i,j) to obtain elements (0,0) thru (2,3).
The 3x3 sub-block is assumed to be the rotation part and the translations vector are described by the 4-th column
Definition at line 299 of file GenVector/Transform3D.h.
References SetComponents().
| bool ROOT::Math::Transform3D::operator== | ( | const Transform3D & | rhs | ) | const [inline] |
Equality operator.
Check equality for each element To do: use double tolerance
Definition at line 579 of file GenVector/Transform3D.h.
Referenced by operator!=().
| AnyRotation ROOT::Math::Transform3D::Rotation | ( | ) | const [inline] |
| Rotation3D ROOT::Math::Transform3D::Rotation | ( | ) | const [inline] |
Get the 3D rotation representing the 3D transformation.
Definition at line 417 of file GenVector/Transform3D.h.
References kXX, kXY, kXZ, kYX, kYY, kYZ, kZX, kZY, and kZZ.
Referenced by GetRotation(), and ROOT::Math::operator*().
| void ROOT::Math::Transform3D::SetComponents | ( | double | xx, | |
| double | xy, | |||
| double | xz, | |||
| double | dx, | |||
| double | yx, | |||
| double | yy, | |||
| double | yz, | |||
| double | dy, | |||
| double | zx, | |||
| double | zy, | |||
| double | zz, | |||
| double | dz | |||
| ) | [inline] |
| void ROOT::Math::Transform3D::SetComponents | ( | IT | begin, | |
| IT | end | |||
| ) | [inline] |
Set the 12 matrix components given an iterator to the start of the desired data, and another to the end (12 past start).
Definition at line 313 of file GenVector/Transform3D.h.
Referenced by Invert(), operator*=(), operator=(), and Transform3D().
| void ROOT::Math::Transform3D::SetIdentity | ( | ) | [protected] |
| void ROOT::Math::Transform3D::SetTransformMatrix | ( | const ForeignMatrix & | m | ) | [inline] |
Set components from a linear algebra matrix of size at least 3x4, which must support operator()(i,j) to obtain elements (0,0) thru (2,3).
The 3x3 sub-block is assumed to be the rotation part and the translations vector are described by the 4-th column
Definition at line 350 of file GenVector/Transform3D.h.
References kDX, kDY, kDZ, kXX, kXY, kXZ, kYX, kYY, kYZ, kZX, kZY, kZZ, and m.
| void ROOT::Math::Transform3D::Transform | ( | const DisplacementVector3D< CoordSystem, Tag1 > & | v1, | |
| DisplacementVector3D< CoordSystem, Tag2 > & | v2 | |||
| ) | const [inline] |
Transformation operation for Displacement Vector of different coordinate systems.
Definition at line 515 of file GenVector/Transform3D.h.
References operator()(), ROOT::Math::DisplacementVector3D< CoordSystem, Tag >::SetXYZ(), ROOT::Math::DisplacementVector3D< CoordSystem, Tag >::X(), ROOT::Math::DisplacementVector3D< CoordSystem, Tag >::Y(), and ROOT::Math::DisplacementVector3D< CoordSystem, Tag >::Z().
| void ROOT::Math::Transform3D::Transform | ( | const PositionVector3D< CoordSystem, Tag1 > & | p1, | |
| PositionVector3D< CoordSystem, Tag2 > & | p2 | |||
| ) | const [inline] |
Transformation operation for points between different coordinate system tags.
Definition at line 505 of file GenVector/Transform3D.h.
References operator()(), ROOT::Math::PositionVector3D< CoordSystem, Tag >::SetXYZ(), ROOT::Math::PositionVector3D< CoordSystem, Tag >::X(), ROOT::Math::PositionVector3D< CoordSystem, Tag >::Y(), and ROOT::Math::PositionVector3D< CoordSystem, Tag >::Z().
| Translation3D ROOT::Math::Transform3D::Translation | ( | ) | const [inline] |
Get the translation representing the 3D transformation in a Cartesian vector.
Definition at line 444 of file GenVector/Transform3D.h.
Referenced by ROOT::Math::operator*().
1.5.9