Physics Vectors

Vector classes (2D, 3D and 4D / Lorentz vector) and their transformations to be used in SYCL or CUDA kernels for heterogeneous computing.

These classes represent vectors and their operations and transformations, such as rotations and Lorentz transformations, in two, three and four dimensions. The 4D space-time is used for physics vectors representing relativistic particles in Minkowski-space. These vectors are different from Linear Algebra vectors or std::vector which describe generic N-dimensional vectors.

Hint: the most commonly used Lorentz vector class is ROOT::MathSYCL::PtEtaPhiMVector or ROOT::MathCUDA::PtEtaPhiMVector, respectively a typedef to ROOT::MathSYCL::LorentzVector < ROOT::MathSYCL::PtEtaPhiM4D < double > > and ROOT::MathCUDA::LorentzVector < ROOT::MathCUDA::PtEtaPhiM4D < double > >.

Additional Documentation

A more detailed description of the GenVectorX package is available in this document.

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

Classes
class	ROOT::ROOT_MATH_ARCH::AxisAngle
	AxisAngle class describing rotation represented with direction axis (3D Vector) and an angle of rotation around that axis. More...
class	ROOT::ROOT_MATH_ARCH::Boost
	Lorentz boost class with the (4D) transformation represented internally by a 4x4 orthosymplectic matrix. More...
class	ROOT::ROOT_MATH_ARCH::BoostX
	Class representing a Lorentz Boost along the X axis, by beta. More...
class	ROOT::ROOT_MATH_ARCH::BoostY
	Class representing a Lorentz Boost along the Y axis, by beta. More...
class	ROOT::ROOT_MATH_ARCH::BoostZ
	Class representing a Lorentz Boost along the Z axis, by beta. More...
class	ROOT::ROOT_MATH_ARCH::Cartesian2D< T >
	Class describing a 2D cartesian coordinate system (x, y coordinates) More...
class	ROOT::ROOT_MATH_ARCH::Cartesian3D< T >
	Class describing a 3D cartesian coordinate system (x, y, z coordinates) More...
class	ROOT::ROOT_MATH_ARCH::Cylindrical3D< T >
	Class describing a cylindrical coordinate system based on rho, z and phi. More...
class	ROOT::ROOT_MATH_ARCH::CylindricalEta3D< T >
	Class describing a cylindrical coordinate system based on eta (pseudorapidity) instead of z. More...
class	ROOT::ROOT_MATH_ARCH::DefaultCoordinateSystemTag
	DefaultCoordinateSystemTag Default tag for identifying any coordinate system. More...
class	ROOT::ROOT_MATH_ARCH::DisplacementVector2D< CoordSystem, Tag >
	Class describing a generic displacement vector in 2 dimensions. More...
class	ROOT::ROOT_MATH_ARCH::DisplacementVector3D< CoordSystem, Tag >
	Class describing a generic displacement vector in 3 dimensions. More...
class	ROOT::ROOT_MATH_ARCH::EulerAngles
	EulerAngles class describing rotation as three angles (Euler Angles). More...
class	ROOT::ROOT_MATH_ARCH::GlobalCoordinateSystemTag
	Tag for identifying vectors based on a global coordinate system. More...
class	ROOT::ROOT_MATH_ARCH::LocalCoordinateSystemTag
	Tag for identifying vectors based on a local coordinate system. More...
class	ROOT::ROOT_MATH_ARCH::LorentzRotation
	Lorentz transformation class with the (4D) transformation represented by a 4x4 orthosymplectic matrix. More...
class	ROOT::ROOT_MATH_ARCH::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::ROOT_MATH_ARCH::Impl::Plane3D< T >
	Class describing a geometrical plane in 3 dimensions. More...
class	ROOT::ROOT_MATH_ARCH::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::ROOT_MATH_ARCH::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::ROOT_MATH_ARCH::PositionVector2D< CoordSystem, Tag >
	Class describing a generic position vector (point) in 2 dimensions. More...
class	ROOT::ROOT_MATH_ARCH::PositionVector3D< CoordSystem, Tag >
	Class describing a generic position vector (point) in 3 dimensions. More...
class	ROOT::ROOT_MATH_ARCH::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::ROOT_MATH_ARCH::PtEtaPhiM4D< ScalarType >
	Class describing a 4D cylindrical coordinate system using Pt , Phi, Eta and M (mass) The metric used is (-,-,-,+). More...
class	ROOT::ROOT_MATH_ARCH::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::ROOT_MATH_ARCH::PxPyPzM4D< ScalarType >
	Class describing a 4D coordinate system or momentum-energy vectors stored as (Px, Py, Pz, M). More...
class	ROOT::ROOT_MATH_ARCH::Quaternion
	Rotation class with the (3D) rotation represented by a unit quaternion (u, i, j, k). More...
class	ROOT::ROOT_MATH_ARCH::Rotation3D
	Rotation class with the (3D) rotation represented by a 3x3 orthogonal matrix. More...
class	ROOT::ROOT_MATH_ARCH::RotationX
	Rotation class representing a 3D rotation about the X axis by the angle of rotation. More...
class	ROOT::ROOT_MATH_ARCH::RotationY
	Rotation class representing a 3D rotation about the Y axis by the angle of rotation. More...
class	ROOT::ROOT_MATH_ARCH::RotationZ
	Rotation class representing a 3D rotation about the Z axis by the angle of rotation. More...
class	ROOT::ROOT_MATH_ARCH::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 Y axis, followed by a third rotation of an angle psi (roll) about the X axis. More...
class	ROOT::ROOT_MATH_ARCH::Impl::Transform3D< T >
	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::ROOT_MATH_ARCH::Impl::Translation3D< T >
	Class describing a 3 dimensional translation. More...