GenVector

Generic 2D, 3D and 4D vectors classes and their transformations (rotations). More...

Collaboration diagram for GenVector:

Namespaces
	ROOT::Math::VectorUtil
	Global Helper functions for generic Vector classes.

Classes
class	ROOT::Math::AxisAngle
	AxisAngle class describing rotation represented with direction axis (3D Vector) and an angle of rotation around that axis. More...
class	ROOT::Math::Boost
	Lorentz boost class with the (4D) transformation represented internally by a 4x4 orthosymplectic matrix. More...
class	ROOT::Math::BoostX
	Class representing a Lorentz Boost along the X axis, by beta. More...
class	ROOT::Math::BoostY
	Class representing a Lorentz Boost along the Y axis, by beta. More...
class	ROOT::Math::BoostZ
	Class representing a Lorentz Boost along the Z axis, by beta. More...
class	ROOT::Math::Cartesian2D< T >
	Class describing a 2D cartesian coordinate system (x, y coordinates) More...
class	ROOT::Math::Cartesian3D< T >
	Class describing a 3D cartesian coordinate system (x, y, z coordinates) More...
class	ROOT::Math::DefaultCoordinateSystemTag
	DefaultCoordinateSystemTag Default tag for identifying any coordinate system. More...
class	ROOT::Math::GlobalCoordinateSystemTag
	Tag for identifying vectors based on a global coordinate system. More...
class	ROOT::Math::LocalCoordinateSystemTag
	Tag for identifying vectors based on a local coordinate system. More...
class	ROOT::Math::Cylindrical3D< T >
	Class describing a cylindrical coordinate system based on rho, z and phi. More...
class	ROOT::Math::CylindricalEta3D< T >
	Class describing a cylindrical coordinate system based on eta (pseudorapidity) instead of z. More...
class	ROOT::Math::DisplacementVector2D< CoordSystem, Tag >
	Class describing a generic displacement vector in 2 dimensions. More...
class	ROOT::Math::DisplacementVector3D< CoordSystem, Tag >
	Class describing a generic displacement vector in 3 dimensions. More...
class	ROOT::Math::EulerAngles
	EulerAngles class describing rotation as three angles (Euler Angles). More...
class	ROOT::Math::LorentzRotation
	Lorentz transformation class with the (4D) transformation represented by a 4x4 orthosymplectic matrix. More...
class	ROOT::Math::LorentzVector< CoordSystem >
	Class describing a generic LorentzVector in the 4D space-time, using the specified coordinate system for the spatial vector part. More...
class	ROOT::Math::Plane3D
	Class describing a geometrical plane in 3 dimensions. More...
class	ROOT::Math::Polar2D< T >
	Class describing a polar 2D coordinate system based on r and phi Phi is restricted to be in the range [-PI,PI) More...
class	ROOT::Math::Polar3D< T >
	Class describing a polar coordinate system based on r, theta and phi Phi is restricted to be in the range [-PI,PI) More...
class	ROOT::Math::PositionVector2D< CoordSystem, Tag >
	Class describing a generic position vector (point) in 2 dimensions. More...
class	ROOT::Math::PositionVector3D< CoordSystem, Tag >
	Class describing a generic position vector (point) in 3 dimensions. More...
class	ROOT::Math::PtEtaPhiE4D< ScalarType >
	Class describing a 4D cylindrical coordinate system using Pt , Phi, Eta and E (or rho, phi, eta , T) The metric used is (-,-,-,+). More...
class	ROOT::Math::PtEtaPhiM4D< ScalarType >
	Class describing a 4D cylindrical coordinate system using Pt , Phi, Eta and M (mass) The metric used is (-,-,-,+). More...
class	ROOT::Math::PxPyPzE4D< ScalarType >
	Class describing a 4D cartesian coordinate system (x, y, z, t coordinates) or momentum-energy vectors stored as (Px, Py, Pz, E). More...
class	ROOT::Math::PxPyPzM4D< ScalarType >
	Class describing a 4D coordinate system or momentum-energy vectors stored as (Px, Py, Pz, M). More...
class	ROOT::Math::Quaternion
	Rotation class with the (3D) rotation represented by a unit quaternion (u, i, j, k). More...
class	ROOT::Math::Rotation3D
	Rotation class with the (3D) rotation represented by a 3x3 orthogonal matrix. More...
class	ROOT::Math::RotationX
	Rotation class representing a 3D rotation about the X axis by the angle of rotation. More...
class	ROOT::Math::RotationY
	Rotation class representing a 3D rotation about the Y axis by the angle of rotation. More...
class	ROOT::Math::RotationZ
	Rotation class representing a 3D rotation about the Z axis by the angle of rotation. More...
class	ROOT::Math::RotationZYX
	Rotation class with the (3D) rotation represented by angles describing first a rotation of an angle phi (yaw) about the Z axis, followed by a rotation of an angle theta (pitch) about the new Y' axis, followed by a third rotation of an angle psi (roll) about the final X'' axis. More...
class	ROOT::Math::Transform3D
	Basic 3D Transformation class describing a rotation and then a translation The internal data are a 3D rotation data (represented as a 3x3 matrix) and a 3D vector data. More...
class	ROOT::Math::Translation3D
	Class describing a 3 dimensional translation. More...

Enumerations
enum	ROOT::Math::Boost::ELorentzRotationMatrixIndex {   ROOT::Math::Boost::kLXX = 0, ROOT::Math::Boost::kLXY = 1, ROOT::Math::Boost::kLXZ = 2, ROOT::Math::Boost::kLXT = 3,   ROOT::Math::Boost::kLYX = 4, ROOT::Math::Boost::kLYY = 5, ROOT::Math::Boost::kLYZ = 6, ROOT::Math::Boost::kLYT = 7,   ROOT::Math::Boost::kLZX = 8, ROOT::Math::Boost::kLZY = 9, ROOT::Math::Boost::kLZZ = 10, ROOT::Math::Boost::kLZT = 11,   ROOT::Math::Boost::kLTX = 12, ROOT::Math::Boost::kLTY = 13, ROOT::Math::Boost::kLTZ = 14, ROOT::Math::Boost::kLTT = 15 }
enum	ROOT::Math::Boost::EBoostMatrixIndex {   ROOT::Math::Boost::kXX = 0, ROOT::Math::Boost::kXY = 1, ROOT::Math::Boost::kXZ = 2, ROOT::Math::Boost::kXT = 3,   ROOT::Math::Boost::kYY = 4, ROOT::Math::Boost::kYZ = 5, ROOT::Math::Boost::kYT = 6, ROOT::Math::Boost::kZZ = 7,   ROOT::Math::Boost::kZT = 8, ROOT::Math::Boost::kTT = 9 }
enum	ROOT::Math::BoostX::ELorentzRotationMatrixIndex {   ROOT::Math::BoostX::kLXX = 0, ROOT::Math::BoostX::kLXY = 1, ROOT::Math::BoostX::kLXZ = 2, ROOT::Math::BoostX::kLXT = 3,   ROOT::Math::BoostX::kLYX = 4, ROOT::Math::BoostX::kLYY = 5, ROOT::Math::BoostX::kLYZ = 6, ROOT::Math::BoostX::kLYT = 7,   ROOT::Math::BoostX::kLZX = 8, ROOT::Math::BoostX::kLZY = 9, ROOT::Math::BoostX::kLZZ = 10, ROOT::Math::BoostX::kLZT = 11,   ROOT::Math::BoostX::kLTX = 12, ROOT::Math::BoostX::kLTY = 13, ROOT::Math::BoostX::kLTZ = 14, ROOT::Math::BoostX::kLTT = 15 }
enum	ROOT::Math::BoostX::EBoostMatrixIndex {   ROOT::Math::BoostX::kXX = 0, ROOT::Math::BoostX::kXY = 1, ROOT::Math::BoostX::kXZ = 2, ROOT::Math::BoostX::kXT = 3,   ROOT::Math::BoostX::kYY = 4, ROOT::Math::BoostX::kYZ = 5, ROOT::Math::BoostX::kYT = 6, ROOT::Math::BoostX::kZZ = 7,   ROOT::Math::BoostX::kZT = 8, ROOT::Math::BoostX::kTT = 9 }
enum	ROOT::Math::BoostY::ELorentzRotationMatrixIndex {   ROOT::Math::BoostY::kLXX = 0, ROOT::Math::BoostY::kLXY = 1, ROOT::Math::BoostY::kLXZ = 2, ROOT::Math::BoostY::kLXT = 3,   ROOT::Math::BoostY::kLYX = 4, ROOT::Math::BoostY::kLYY = 5, ROOT::Math::BoostY::kLYZ = 6, ROOT::Math::BoostY::kLYT = 7,   ROOT::Math::BoostY::kLZX = 8, ROOT::Math::BoostY::kLZY = 9, ROOT::Math::BoostY::kLZZ = 10, ROOT::Math::BoostY::kLZT = 11,   ROOT::Math::BoostY::kLTX = 12, ROOT::Math::BoostY::kLTY = 13, ROOT::Math::BoostY::kLTZ = 14, ROOT::Math::BoostY::kLTT = 15 }
enum	ROOT::Math::BoostY::EBoostMatrixIndex {   ROOT::Math::BoostY::kXX = 0, ROOT::Math::BoostY::kXY = 1, ROOT::Math::BoostY::kXZ = 2, ROOT::Math::BoostY::kXT = 3,   ROOT::Math::BoostY::kYY = 4, ROOT::Math::BoostY::kYZ = 5, ROOT::Math::BoostY::kYT = 6, ROOT::Math::BoostY::kZZ = 7,   ROOT::Math::BoostY::kZT = 8, ROOT::Math::BoostY::kTT = 9 }
enum	ROOT::Math::BoostZ::ELorentzRotationMatrixIndex {   ROOT::Math::BoostZ::kLXX = 0, ROOT::Math::BoostZ::kLXY = 1, ROOT::Math::BoostZ::kLXZ = 2, ROOT::Math::BoostZ::kLXT = 3,   ROOT::Math::BoostZ::kLYX = 4, ROOT::Math::BoostZ::kLYY = 5, ROOT::Math::BoostZ::kLYZ = 6, ROOT::Math::BoostZ::kLYT = 7,   ROOT::Math::BoostZ::kLZX = 8, ROOT::Math::BoostZ::kLZY = 9, ROOT::Math::BoostZ::kLZZ = 10, ROOT::Math::BoostZ::kLZT = 11,   ROOT::Math::BoostZ::kLTX = 12, ROOT::Math::BoostZ::kLTY = 13, ROOT::Math::BoostZ::kLTZ = 14, ROOT::Math::BoostZ::kLTT = 15 }
enum	ROOT::Math::BoostZ::EBoostMatrixIndex {   ROOT::Math::BoostZ::kXX = 0, ROOT::Math::BoostZ::kXY = 1, ROOT::Math::BoostZ::kXZ = 2, ROOT::Math::BoostZ::kXT = 3,   ROOT::Math::BoostZ::kYY = 4, ROOT::Math::BoostZ::kYZ = 5, ROOT::Math::BoostZ::kYT = 6, ROOT::Math::BoostZ::kZZ = 7,   ROOT::Math::BoostZ::kZT = 8, ROOT::Math::BoostZ::kTT = 9 }
enum	ROOT::Math::LorentzRotation::ELorentzRotationMatrixIndex {   ROOT::Math::LorentzRotation::kXX = 0, ROOT::Math::LorentzRotation::kXY = 1, ROOT::Math::LorentzRotation::kXZ = 2, ROOT::Math::LorentzRotation::kXT = 3,   ROOT::Math::LorentzRotation::kYX = 4, ROOT::Math::LorentzRotation::kYY = 5, ROOT::Math::LorentzRotation::kYZ = 6, ROOT::Math::LorentzRotation::kYT = 7,   ROOT::Math::LorentzRotation::kZX = 8, ROOT::Math::LorentzRotation::kZY = 9, ROOT::Math::LorentzRotation::kZZ = 10, ROOT::Math::LorentzRotation::kZT = 11,   ROOT::Math::LorentzRotation::kTX = 12, ROOT::Math::LorentzRotation::kTY = 13, ROOT::Math::LorentzRotation::kTZ = 14, ROOT::Math::LorentzRotation::kTT = 15 }
enum	ROOT::Math::Rotation3D::ERotation3DMatrixIndex {   ROOT::Math::Rotation3D::kXX = 0, ROOT::Math::Rotation3D::kXY = 1, ROOT::Math::Rotation3D::kXZ = 2, ROOT::Math::Rotation3D::kYX = 3,   ROOT::Math::Rotation3D::kYY = 4, ROOT::Math::Rotation3D::kYZ = 5, ROOT::Math::Rotation3D::kZX = 6, ROOT::Math::Rotation3D::kZY = 7,   ROOT::Math::Rotation3D::kZZ = 8 }
enum	ROOT::Math::Transform3D::ETransform3DMatrixIndex {   ROOT::Math::Transform3D::kXX = 0, ROOT::Math::Transform3D::kXY = 1, ROOT::Math::Transform3D::kXZ = 2, ROOT::Math::Transform3D::kDX = 3,   ROOT::Math::Transform3D::kYX = 4, ROOT::Math::Transform3D::kYY = 5, ROOT::Math::Transform3D::kYZ = 6, ROOT::Math::Transform3D::kDY = 7,   ROOT::Math::Transform3D::kZX = 8, ROOT::Math::Transform3D::kZY = 9, ROOT::Math::Transform3D::kZZ =10, ROOT::Math::Transform3D::kDZ = 11 }

Detailed Description

Generic 2D, 3D and 4D vectors classes and their transformations (rotations).

More information is available at the home page for Generic Vector for 2, 3 and 4 Dimensions

Enumeration Type Documentation

enum ROOT::Math::BoostX::EBoostMatrixIndex

Enumerator
kXX
kXY
kXZ
kXT
kYY
kYZ
kYT
kZZ
kZT
kTT

Definition at line 50 of file BoostX.h.

enum ROOT::Math::BoostZ::EBoostMatrixIndex

Enumerator
kXX
kXY
kXZ
kXT
kYY
kYZ
kYT
kZZ
kZT
kTT

Definition at line 50 of file BoostZ.h.

enum ROOT::Math::BoostY::EBoostMatrixIndex

Enumerator
kXX
kXY
kXZ
kXT
kYY
kYZ
kYT
kZZ
kZT
kTT

Definition at line 50 of file BoostY.h.

enum ROOT::Math::Boost::EBoostMatrixIndex

Enumerator
kXX
kXY
kXZ
kXT
kYY
kYZ
kYT
kZZ
kZT
kTT

Definition at line 59 of file Boost.h.

enum ROOT::Math::BoostY::ELorentzRotationMatrixIndex

Enumerator
kLXX
kLXY
kLXZ
kLXT
kLYX
kLYY
kLYZ
kLYT
kLZX
kLZY
kLZZ
kLZT
kLTX
kLTY
kLTZ
kLTT

Definition at line 43 of file BoostY.h.

enum ROOT::Math::BoostZ::ELorentzRotationMatrixIndex

Enumerator
kLXX
kLXY
kLXZ
kLXT
kLYX
kLYY
kLYZ
kLYT
kLZX
kLZY
kLZZ
kLZT
kLTX
kLTY
kLTZ
kLTT

Definition at line 43 of file BoostZ.h.

enum ROOT::Math::BoostX::ELorentzRotationMatrixIndex

Enumerator
kLXX
kLXY
kLXZ
kLXT
kLYX
kLYY
kLYZ
kLYT
kLZX
kLZY
kLZZ
kLZT
kLTX
kLTY
kLTZ
kLTT

Definition at line 43 of file BoostX.h.

enum ROOT::Math::Boost::ELorentzRotationMatrixIndex

Enumerator
kLXX
kLXY
kLXZ
kLXT
kLYX
kLYY
kLYZ
kLYT
kLZX
kLZY
kLZZ
kLZT
kLTX
kLTY
kLTZ
kLTT

Definition at line 52 of file Boost.h.

enum ROOT::Math::LorentzRotation::ELorentzRotationMatrixIndex

Enumerator
kXX
kXY
kXZ
kXT
kYX
kYY
kYZ
kYT
kZX
kZY
kZZ
kZT
kTX
kTY
kTZ
kTT

Definition at line 60 of file LorentzRotation.h.

enum ROOT::Math::Rotation3D::ERotation3DMatrixIndex

Enumerator
kXX
kXY
kXZ
kYX
kYY
kYZ
kZX
kZY
kZZ

Definition at line 71 of file Rotation3D.h.

enum ROOT::Math::Transform3D::ETransform3DMatrixIndex

Enumerator
kXX
kXY
kXZ
kDX
kYX
kYY
kYZ
kDY
kZX
kZY
kZZ
kDZ

Definition at line 94 of file Transform3D.h.