ROOT::Math

ROOT::Math Namespace Reference


Classes

class  AdaptiveIntegratorMultiDim
 class for adaptive quadrature integration in multi-dimensions Algorithm from A.C. More...
class  Factory
 Factory class holding static functions to create the interfaces like ROOT::Math::Minimizer via the Plugin Manager. More...
class  BasicFitMethodFunction
 FitMethodFunction class Interface for objective functions (like chi2 and likelihood used in the fit) In addition to normal function interface provide interface for calculating each data contrinution to the function which is required by some algorithm (like Fumili). More...
class  FunctorHandler
 Functor Handler class is responsible for wrapping any other functor and pointer to free C functions. More...
class  FunctorGradHandler
 Functor Handler class for gradient functions where both callable objects are provided for the function evaluation (type Func) and for the gradient (type GradFunc) . More...
class  MemFunHandler
 Functor Handler to Wrap pointers to member functions The member function type must be (XXX means any name is allowed) : double XXX ( double x) for 1D functions and double XXXX (const double *x) for multi-dimensional functions. More...
class  MemGradFunHandler
 Functor Handler to Wrap pointers to member functions for the evaluation of the function and the gradient. More...
class  Functor
 Documentation for class Functor class. More...
class  Functor1D
 Functor1D class for one-dimensional functions. More...
class  GradFunctor
 GradFunctor class for Multidimensional gradient functions. More...
class  GradFunctor1D
 GradFunctor1D class for one-dimensional gradient functions. More...
class  AxisAngle
 AxisAngle class describing rotation represented with direction axis (3D Vector) and an angle of rotation around that axis. More...
class  Boost
 Lorentz boost class with the (4D) transformation represented internally by a 4x4 orthosymplectic matrix. More...
class  BoostX
 Class representing a Lorentz Boost along the X axis, by beta. More...
class  BoostY
 Class representing a Lorentz Boost along the Y axis, by beta. More...
class  BoostZ
 Class representing a Lorentz Boost along the Z axis, by beta. More...
class  Cartesian2D
 Class describing a 2D cartesian coordinate system (x, y coordinates). More...
class  Cartesian3D
 Class describing a 3D cartesian coordinate system (x, y, z coordinates). More...
class  DefaultCoordinateSystemTag
 DefaultCoordinateSystemTag Default tag for identifying any coordinate system. More...
class  GlobalCoordinateSystemTag
 Tag for identifying vectors based on a global coordinate system. More...
class  LocalCoordinateSystemTag
 Tag for identifying vectors based on a local coordinate system. More...
class  Cylindrical3D
 Class describing a cylindrical coordinate system based on rho, z and phi. More...
class  CylindricalEta3D
 Class describing a cylindrical coordinate system based on eta (pseudorapidity) instead of z. More...
class  DisplacementVector2D
 Class describing a generic displacement vector in 2 dimensions. More...
class  DisplacementVector3D
 Class describing a generic displacement vector in 3 dimensions. More...
class  EulerAngles
 EulerAngles class describing rotation as three angles (Euler Angles). More...
class  GenVector_exception
class  LorentzRotation
 Lorentz transformation class with the (4D) transformation represented by a 4x4 orthosymplectic matrix. More...
class  LorentzVector
 Class describing a generic LorentzVector in the 4D space-time, using the specified coordinate system for the spatial vector part. More...
class  Plane3D
 Class describing a geometrical plane in 3 dimensions. More...
class  Polar2D
 Class describing a polar 2D coordinate system based on r and phi Phi is restricted to be in the range [-PI,PI). More...
class  Polar3D
 Class describing a polar coordinate system based on r, theta and phi Phi is restricted to be in the range [-PI,PI). More...
class  PositionVector2D
 Class describing a generic position vector (point) in 2 dimensions. More...
class  PositionVector3D
 Class describing a generic position vector (point) in 3 dimensions. More...
class  PtEtaPhiE4D
 Class describing a 4D cylindrical coordinate system using Pt , Phi, Eta and E (or rho, phi, eta , T) The metric used is (-,-,-,+). More...
class  PtEtaPhiM4D
 Class describing a 4D cylindrical coordinate system using Pt , Phi, Eta and M (mass) The metric used is (-,-,-,+). More...
class  PxPyPzE4D
 Class describing a 4D cartesian coordinate system (x, y, z, t coordinates) or momentum-energy vectors stored as (Px, Py, Pz, E). More...
class  PxPyPzM4D
 Class describing a 4D coordinate system or momentum-energy vectors stored as (Px, Py, Pz, M). More...
class  Quaternion
 Rotation class with the (3D) rotation represented by a unit quaternion (u, i, j, k). More...
class  Rotation3D
 Rotation class with the (3D) rotation represented by a 3x3 orthogonal matrix. More...
class  RotationX
 Rotation class representing a 3D rotation about the X axis by the angle of rotation. More...
class  RotationY
 Rotation class representing a 3D rotation about the Y axis by the angle of rotation. More...
class  RotationZ
 Rotation class representing a 3D rotation about the Z axis by the angle of rotation. More...
class  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  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  Translation3D
 Class describing a 3 dimensional translation. More...
class  IBaseFunctionMultiDim
 Documentation for the abstract class IBaseFunctionMultiDim. More...
class  IBaseFunctionOneDim
 Interface (abstract class) for generic functions objects of one-dimension Provides a method to evaluate the function given a value (simple double) by implementing operator() (const double ). More...
class  IGradientMultiDim
 Gradient interface (abstract class) defining the signature for calculating the gradient of a multi-dimensional function. More...
class  IGradientOneDim
 Specialized Gradient interface(abstract class) for one dimensional functions It provides a method to evaluate the derivative of the function, Derivative and a method to evaluate at the same time the function and the derivative FdF. More...
class  IGradientFunctionMultiDim
 Interface (abstract class) for multi-dimensional functions providing a gradient calculation. More...
class  IGradientFunctionOneDim
 Interface (abstract class) for one-dimensional functions providing a gradient calculation. More...
class  IntegratorOneDim
 User Class for performing numerical integration of a function in one dimension. More...
class  IntegratorMultiDim
 User class for performing multidimensional integration. More...
class  IBaseParam
 Documentation for the abstract class IBaseParam. More...
class  IParametricFunctionMultiDim
 IParamFunction interface (abstract class) describing multi-dimensional parameteric functions It is a derived class from ROOT::Math::IBaseFunctionMultiDim and ROOT::Math::IBaseParam. More...
class  IParametricFunctionOneDim
 Specialized IParamFunction interface (abstract class) for one-dimensional parametric functions It is a derived class from ROOT::Math::IBaseFunctionOneDim and ROOT::Math::IBaseParam. More...
class  IParametricGradFunctionMultiDim
 Interface (abstract class) for parametric gradient multi-dimensional functions providing in addition to function evaluation and gradient with respect the coordinates also the gradient with respect to the parameters, via the method ParameterGradient. More...
class  IParametricGradFunctionOneDim
 Interface (abstract class) for parametric one-dimensional gradient functions providing in addition to function evaluation and derivative with respect the coordinates also the gradient with respect to the parameters, via the method ParameterGradient. More...
class  Minimizer
 Abstract Minimizer class, defining the interface for the various minimizer (like Minuit2, Minuit, GSL, etc. More...
class  OneDimMultiFunctionAdapter
 OneDimMultiFunctionAdapter class to wrap a multidimensional function in one dimensional one. More...
class  OneDimParamFunctionAdapter
 OneDimParamFunctionAdapter class to wrap a multi-dim parameteric function in one dimensional one. More...
class  VirtualIntegrator
 VirtualIntegrator abstract class. More...
class  VirtualIntegratorOneDim
 Interface (abstract) class for 1D numerical integration It must be implemented by the concrate Integrator classes like ROOT::Math::GSLIntegrator. More...
class  VirtualIntegratorMultiDim
 Interface (abstract) class for multi numerical integration It must be implemented by the concrete Integrator classes like ROOT::Math::GSLMCIntegrator. More...
struct  NullTypeFunc1D
class  WrappedFunction
 Template class to wrap any C++ callable object which takes one argument i.e. More...
class  WrappedMemFunction
 Template class to wrap any member function of a class taking a double and returning a double in a 1D function interface For example, if you have a class like: struct X { double Eval(double x); }; you can wrapped in the following way: WrappedMemFunction<X, double ( X::* ) (double) > f;. More...
class  WrappedMultiFunction
 Template class to wrap any C++ callable object implementing operator() (const double * x) in a multi-dimensional function interface. More...
class  WrappedParamFunction
 WrappedParamFunction class to wrap any multi-dimensional parameteric function implementing an operator()(const double * , const double *) in an interface-like IParamFunction. More...
class  WrappedParamFunctionGen
 WrappedParamGenFunction class to wrap any multi-dimensional function implementing the operator()(const double * ) in an interface-like IParamFunction, by fixing some of the variables and define them as parameters. More...
class  FunctorCintHandler
class  Chebyshev
 Class describing a Chebyshev series which can be used to approximate a function in a defined range [a,b] using Chebyshev polynomials. More...
class  Derivator
 Class for computing numerical derivative of a function. More...
class  GSLFunctionAdapter
 Class for adapting any C++ functor class to C function pointers used by GSL. More...
class  GSLIntegrator
 Class for performing numerical integration of a function in one dimension. More...
class  GSLMCIntegrator
 Class for performing numerical integration of a multidimensional function. More...
class  GSLMinimizer
 GSLMinimizer class. More...
class  LSResidualFunc
 LSResidualFunc class description. More...
class  GSLNLSMinimizer
 GSLNLSMinimizer class for Non Linear Least Square fitting It Uses the Levemberg-Marquardt algorithm from GSL Non Linear Least Square fitting. More...
class  GSLRandomEngine
 GSLRandomEngine Base class for all GSL random engines, normally user instantiate the derived classes which creates internally the generator. More...
class  GSLRngMT
 Mersenne-Twister generator gsl_rng_mt19937 from here. More...
class  GSLRngRanLux
 Ranlux generator (James, Luscher) (defaul luxury) see here. More...
class  GSLRngRanLux2
 Second generation of Ranlux generator (with luxury level of 2) see here. More...
class  GSLRngRanLux48
 48 bits version of Second generation of Ranlux generator (with luxury level of 2) see here More...
class  GSLRngTaus
 Tausworthe generator by L'Ecuyer see here. More...
class  GSLRngGFSR4
 Lagged Fibonacci generator by Ziff see here. More...
class  GSLRngCMRG
 Combined multiple recursive generator (L'Ecuyer) see here. More...
class  GSLRngMRG
 5-th order multiple recursive generator (L'Ecuyer, Blouin and Coutre) see here More...
class  GSLRngRand
 BSD rand() generator gsl_rmg_rand from here. More...
class  GSLRngRanMar
 RANMAR generator see here. More...
class  GSLRngMinStd
 MINSTD generator (Park and Miller) see here. More...
class  GSLRootFinder
 Base class for GSL Root-Finding algorithms for one dimensional functions which do not use function derivatives. More...
class  GSLRootFinderDeriv
 Base class for GSL Root-Finding algorithms for one dimensional functions which use function derivatives. More...
class  GSLSimAnMinimizer
 GSLSimAnMinimizer class for minimization using simulated annealing using the algorithm from GSL. More...
class  GSLSimAnFunc
 GSLSimAnFunc class description. More...
struct  GSLSimAnParams
 structure holding the simulated annealing parameters More...
class  GSLSimAnnealing
 GSLSimAnnealing class for performing a simulated annealing search of a multidimensional function. More...
class  Interpolator
 Class for performing function interpolation of points. More...
class  KelvinFunctions
struct  VegasParameters
 structures collecting parameters for VEGAS multidimensional integration More...
struct  MiserParameters
 structures collecting parameters for MISER multidimensional integration More...
struct  PlainParameters
class  Minimizer1D
 Minimizer for arbitrary one dimensional functions. More...
class  MultiNumGradFunction
 NumGradMultiFunction class to wrap a normal function in a gradient function using numerical gradient calculation. More...
class  ParamFunction
 Base class for 1 Dimensional Parametric Functions. More...
class  Polynomial
 Parametric Function class describing polynomials of order n. More...
class  Random
 User class for MathMore random numbers template on the Engine type. More...
class  RootFinder
 Class to find the Root of one dimensional functions. More...
class  WrappedMultiTF1
 Class to Wrap a ROOT Function class (like TF1) in a IParamFunction interface of multi-dimensions to be used in the ROOT::Math numerical algorithm The parameter are stored in the WrappedFunction so we don't rely on the TF1 state values. More...
class  WrappedTF1
 Class to Wrap a ROOT Function class (like TF1) in a IParamFunction interface of one dimensions to be used in the ROOT::Math numerical algorithms The parameter are stored in the WrappedFunction so we don't rely on the TF1 state values. More...
class  GSL1DMinimizer
 wrapper class for gsl_min_fminimizer structure More...
class  GSLChebSeries
 wrapper class for C struct gsl_cheb_series More...
class  GSLDerivator
 Class for computing numerical derivative of a function based on the GSL numerical algorithm This class is implemented using the numerical derivatives algorithms provided by GSL (see GSL Online Manual ). More...
class  GSLFunctionWrapper
 Wrapper class to the gsl_function C structure. More...
class  GSLFunctionDerivWrapper
 class to wrap a gsl_function_fdf (with derivatives) More...
class  GSLIntegrationWorkspace
class  GSLInterpolator
 Interpolation class based on GSL interpolation functions. More...
class  GSLMCIntegrationWorkspace
class  GSLVegasIntegrationWorkspace
class  GSLMiserIntegrationWorkspace
class  GSLPlainIntegrationWorkspace
struct  GSLMonteFunctionAdapter
class  GSLMonteFunctionWrapper
 wrapper to a multi-dim function withtout derivatives for Monte Carlo multi-dimensional integration algorithm More...
class  GSLMultiFit
 GSLMultiFit, internal class for implementing GSL non linear least square GSL fitting. More...
class  GSLMultiFitFunctionAdapter
 Class for adapting a C++ functor class to C function pointers used by GSL MultiFit Algorithm The templated C++ function class must implement:. More...
class  GSLMultiFitFunctionWrapper
 wrapper to a multi-dim function withtout derivatives for multi-dimensional minimization algorithm More...
struct  GSLMultiMinFunctionAdapter
 Class for adapting any multi-dimension C++ functor class to C function pointers used by GSL MultiMin algorithms. More...
class  GSLMultiMinFunctionWrapper
 wrapper to a multi-dim function withtout derivatives for multi-dimensional minimization algorithm More...
class  GSLMultiMinDerivFunctionWrapper
 Wrapper for a multi-dimensional funciton with derivatives used in GSL multidim minimization algorithm. More...
class  GSLMultiMinimizer
 GSLMultiMinimizer class , for minimizing multi-dimensional function using derivatives. More...
class  GSLRngWrapper
 GSLRngWrapper class to wrap gsl_rng structure. More...
class  GSLRootFdFSolver
 Root-Finder with derivatives implementation class using GSL. More...
class  GSLRootFSolver
 Root-Finder implementation class using GSL. More...
class  AddOp
 Addition Operation Class. More...
class  MinOp
 Subtraction Operation Class. More...
class  MulOp
 Multiplication (element-wise) Operation Class. More...
class  DivOp
 Division (element-wise) Operation Class. More...
struct  MultPolicy
 matrix-matrix multiplication policy More...
struct  AddPolicy
 matrix addition policy More...
struct  AddPolicy< T, D1, D2, MatRepSym< T, D1 >, MatRepSym< T, D1 > >
struct  TranspPolicy
 matrix transpose policy More...
struct  TranspPolicy< T, D1, D2, MatRepSym< T, D1 > >
class  Determinant
 Detrminant for a general squared matrix Function to compute the determinant from a square matrix ($ \det(A)$) of dimension idim and order n. More...
class  Inverter
 Matrix Inverter class (generic class used for matrix sizes larger than 6x6) Class to specialize calls to Dinv. More...
class  Inverter< 0 >
 Inverter<0>. More...
class  Inverter< 1 >
 1x1 matrix inversion $a_{11} \to 1/a_{11}$ More...
class  Inverter< 2 >
 2x2 matrix inversion using Cramers rule. More...
class  Inverter< 3 >
 3x3 direct matrix inversion More...
class  Inverter< 4 >
 4x4 matrix inversion using Cramers rule. More...
class  Inverter< 5 >
 5x5 Matrix inversion using Cramers rule. More...
class  SDeterminant
 Dsfact. More...
class  SInverter
 Dsinv. More...
class  VecExpr
 Expression wrapper class for Vector objects. More...
class  Expr
class  BinaryOp
 BinaryOperation class A class representing binary operators in the parse tree. More...
class  BinaryOpCopyL
 Binary Operation class with value storage for the left argument. More...
class  BinaryOpCopyR
 Binary Operation class with value storage for the right argument. More...
class  UnaryOp
 UnaryOperation class A class representing unary operators in the parse tree. More...
class  Constant
 Constant expression class A class representing constant expressions (literals) in the parse tree. More...
struct  meta_dot
struct  meta_dot< 0 >
struct  meta_mag
struct  meta_mag< 0 >
struct  Assign
 Structure to assign from an expression based to general matrix to general matrix. More...
struct  Assign< T, D1, D2, A, MatRepSym< T, D1 >, MatRepSym< T, D1 > >
 Structure to assign from an expression based to symmetric matrix to symmetric matrix. More...
struct  Assign< T, D1, D2, A, MatRepSym< T, D1 >, MatRepStd< T, D1, D2 > >
 Dummy Structure which flags an error to avoid assigment from expression based on a general matrix to a symmetric matrix. More...
struct  AssignSym
 Force Expression evaluation from general to symmetric. More...
struct  PlusEquals
 Evaluate the expression performing a += operation Need to check whether creating a temporary object with the expression result (like in op: A += A * B ). More...
struct  PlusEquals< T, D1, D2, A, MatRepSym< T, D1 >, MatRepSym< T, D1 > >
 Specialization for symmetric matrices Evaluate the expression performing a += operation for symmetric matrices Need to have a separate functions to avoid to modify two times the off-diagonal elements (i.e applying two times the expression) Need to check whether creating a temporary object with the expression result (like in op: A += A * B ). More...
struct  PlusEquals< T, D1, D2, A, MatRepSym< T, D1 >, MatRepStd< T, D1, D2 > >
 Specialization for symmetrix += general : NOT Allowed operation. More...
struct  MinusEquals
 Evaluate the expression performing a -= operation Need to check whether creating a temporary object with the expression result (like in op: A -= A * B ). More...
struct  MinusEquals< T, D1, D2, A, MatRepSym< T, D1 >, MatRepSym< T, D1 > >
 Specialization for symmetric matrices. More...
struct  MinusEquals< T, D1, D2, A, MatRepSym< T, D1 >, MatRepStd< T, D1, D2 > >
 Specialization for symmetrix -= general : NOT Allowed operation. More...
struct  PlaceMatrix
 Structure to deal when a submatrix is placed in a matrix. More...
struct  PlaceExpr
struct  PlaceMatrix< T, D1, D2, D3, D4, MatRepSym< T, D1 >, MatRepStd< T, D3, D4 > >
struct  PlaceExpr< T, D1, D2, D3, D4, A, MatRepSym< T, D1 >, MatRepStd< T, D3, D4 > >
struct  PlaceMatrix< T, D1, D2, D3, D4, MatRepSym< T, D1 >, MatRepSym< T, D3 > >
struct  PlaceExpr< T, D1, D2, D3, D4, A, MatRepSym< T, D1 >, MatRepSym< T, D3 > >
struct  RetrieveMatrix
 Structure for getting sub matrices We have different cases according to the matrix representations. More...
struct  RetrieveMatrix< T, D1, D2, D3, D4, MatRepSym< T, D1 >, MatRepStd< T, D3, D4 > >
struct  RetrieveMatrix< T, D1, D2, D3, D4, MatRepSym< T, D1 >, MatRepSym< T, D3 > >
struct  AssignItr
 Structure for assignment to a general matrix from iterator. More...
struct  AssignItr< T, D1, D2, MatRepSym< T, D1 > >
 Specialized structure for assignment to a symmetrix matrix from iterator. More...
struct  meta_row_dot
struct  meta_row_dot< 0 >
class  VectorMatrixRowOp
struct  meta_col_dot
struct  meta_col_dot< 0 >
class  VectorMatrixColOp
 Class for Vector-Matrix multiplication. More...
struct  meta_matrix_dot
struct  meta_matrix_dot< 0 >
class  MatrixMulOp
 Class for Matrix-Matrix multiplication. More...
class  TransposeOp
 Class for Transpose Operations. More...
class  TensorMulOp
 Class for Tensor Multiplication (outer product) of two vectors giving a matrix. More...
class  MatRepStd
 MatRepStd Standard Matrix representation for a general D1 x D2 matrix. More...
struct  RowOffsets
 Static structure to keep the conversion from (i,j) to offsets in the storage data for a symmetric matrix. More...
class  MatRepSym
 MatRepSym Matrix storage representation for a symmetric matrix of dimension NxN This class is a template on the contained type and on the symmetric matrix size, N. More...
struct  SMatrixIdentity
class  SMatrix
 SMatrix: a generic fixed size D1 x D2 Matrix class. More...
struct  CompileTimeError< true >
class  SVector
 SVector: a generic fixed size Vector class. More...
class  Minus
 Unary Minus Operation Class. More...
class  Fabs
 Unary abs Operation Class. More...
class  Sqr
 Unary Square Operation Class. More...
class  Sqrt
 Unary Square Root Operation Class. More...

Namespaces

namespace  Cephes
namespace  detail
namespace  GenVector_detail
namespace  GSLRootHelper
 Helper functions to test convergence of Root-Finding algorithms.
namespace  GSLSimAn
namespace  gv_detail
namespace  Impl
namespace  Integration
namespace  IntegrationMultiDim
namespace  IntegrationOneDim
namespace  Interpolation
namespace  MCIntegration
namespace  Minim1D
namespace  Roots
 Root-Finding Algorithms.
namespace  Util
 namespace defining Utility functions needed by mathcore
namespace  VectorUtil
 Global Helper functions for generic Vector classes.

Typedefs

typedef
BasicFitMethodFunction
< ROOT::Math::IMultiGenFunction > 		FitMethodFunction
typedef
BasicFitMethodFunction
< ROOT::Math::IMultiGradFunction > 		FitMethodGradFunction
typedef
IBaseFunctionOneDim 		IGenFunction
typedef
IBaseFunctionMultiDim 		IMultiGenFunction
typedef
IGradientFunctionOneDim 		IGradFunction
typedef
IGradientFunctionMultiDim 		IMultiGradFunction
typedef IntegratorOneDim Integrator
typedef
IParametricFunctionOneDim 		IParamFunction
typedef
IParametricFunctionMultiDim 		IParamMultiFunction
typedef
IParametricGradFunctionOneDim 		IParamGradFunction
typedef
IParametricGradFunctionMultiDim 		IParamMultiGradFunction
typedef
PositionVector2D
< Cartesian2D
< double >,
DefaultCoordinateSystemTag > 		XYPoint
 2D Point based on the cartesian coordinates x,y,z in double precision
typedef XYPoint XYPointD
typedef
PositionVector2D
< Cartesian2D< float >,
DefaultCoordinateSystemTag > 		XYPointF
 2D Point based on the cartesian corrdinates x,y,z in single precision
typedef
PositionVector2D
< Polar2D< double >,
DefaultCoordinateSystemTag > 		Polar2DPoint
 2D Point based on the polar coordinates rho, theta, phi in double precision.
typedef Polar2DPoint Polar2DPointD
typedef
PositionVector2D
< Polar2D< float >,
DefaultCoordinateSystemTag > 		Polar2DPointF
 2D Point based on the polar coordinates rho, theta, phi in single precision.
typedef
PositionVector3D
< Cartesian3D
< double >,
DefaultCoordinateSystemTag > 		XYZPoint
 3D Point based on the cartesian coordinates x,y,z in double precision
typedef
PositionVector3D
< Cartesian3D< float >,
DefaultCoordinateSystemTag > 		XYZPointF
 3D Point based on the cartesian corrdinates x,y,z in single precision
typedef XYZPoint XYZPointD
typedef
PositionVector3D
< CylindricalEta3D
< double >,
DefaultCoordinateSystemTag > 		RhoEtaPhiPoint
 3D Point based on the eta based cylindrical coordinates rho, eta, phi in double precision.
typedef
PositionVector3D
< CylindricalEta3D
< float >,
DefaultCoordinateSystemTag > 		RhoEtaPhiPointF
 3D Point based on the eta based cylindrical coordinates rho, eta, phi in single precision.
typedef RhoEtaPhiPoint RhoEtaPhiPointD
typedef
PositionVector3D
< Polar3D< double >,
DefaultCoordinateSystemTag > 		Polar3DPoint
 3D Point based on the polar coordinates rho, theta, phi in double precision.
typedef
PositionVector3D
< Polar3D< float >,
DefaultCoordinateSystemTag > 		Polar3DPointF
 3D Point based on the polar coordinates rho, theta, phi in single precision.
typedef Polar3DPoint Polar3DPointD
typedef
PositionVector3D
< Cylindrical3D
< double >,
DefaultCoordinateSystemTag > 		RhoZPhiPoint
 3D Point based on the cylindrical coordinates rho, z, phi in double precision.
typedef
PositionVector3D
< Cylindrical3D
< float >,
DefaultCoordinateSystemTag > 		RhoZPhiPointF
 3D Point based on the cylindrical coordinates rho, z, phi in single precision.
typedef RhoZPhiPoint RhoZPhiPointD
typedef
DisplacementVector2D
< Cartesian2D
< double >,
DefaultCoordinateSystemTag > 		XYVector
 2D Vector based on the cartesian coordinates x,y in double precision
typedef XYVector XYVectorD
typedef
DisplacementVector2D
< Cartesian2D< float >,
DefaultCoordinateSystemTag > 		XYVectorF
 2D Vector based on the cartesian coordinates x,y,z in single precision
typedef
DisplacementVector2D
< Polar2D< double >,
DefaultCoordinateSystemTag > 		Polar2DVector
 2D Vector based on the polar coordinates rho, phi in double precision.
typedef Polar2DVector Polar2DVectorD
typedef
DisplacementVector2D
< Polar2D< float >,
DefaultCoordinateSystemTag > 		Polar2DVectorF
 2D Vector based on the polar coordinates rho, phi in single precision.
typedef
DisplacementVector3D
< Cartesian3D
< double >,
DefaultCoordinateSystemTag > 		XYZVector
 3D Vector based on the cartesian coordinates x,y,z in double precision
typedef
DisplacementVector3D
< Cartesian3D< float >,
DefaultCoordinateSystemTag > 		XYZVectorF
 3D Vector based on the cartesian corrdinates x,y,z in single precision
typedef XYZVector XYZVectorD
typedef
DisplacementVector3D
< CylindricalEta3D
< double >,
DefaultCoordinateSystemTag > 		RhoEtaPhiVector
 3D Vector based on the eta based cylindrical coordinates rho, eta, phi in double precision.
typedef
DisplacementVector3D
< CylindricalEta3D
< float >,
DefaultCoordinateSystemTag > 		RhoEtaPhiVectorF
 3D Vector based on the eta based cylindrical coordinates rho, eta, phi in single precision.
typedef RhoEtaPhiVector RhoEtaPhiVectorD
typedef
DisplacementVector3D
< Polar3D< double >,
DefaultCoordinateSystemTag > 		Polar3DVector
 3D Vector based on the polar coordinates rho, theta, phi in double precision.
typedef
DisplacementVector3D
< Polar3D< float >,
DefaultCoordinateSystemTag > 		Polar3DVectorF
 3D Vector based on the polar coordinates rho, theta, phi in single precision.
typedef Polar3DVector Polar3DVectorD
typedef
DisplacementVector3D
< Cylindrical3D
< double >,
DefaultCoordinateSystemTag > 		RhoZPhiVector
 3D Vector based on the cylindrical coordinates rho, z, phi in double precision.
typedef
DisplacementVector3D
< Cylindrical3D
< float >,
DefaultCoordinateSystemTag > 		RhoZPhiVectorF
 3D Vector based on the cylindrical coordinates rho, z, phi in single precision.
typedef RhoZPhiVector RhoZPhiVectorD
typedef
LorentzVector
< PxPyPzE4D< double > > 		XYZTVector
 LorentzVector based on x,y,x,t (or px,py,pz,E) coordinates in double precision with metric (-,-,-,+).
typedef
LorentzVector
< PxPyPzE4D< double > > 		PxPyPzEVector
typedef
LorentzVector
< PxPyPzE4D< float > > 		XYZTVectorF
 LorentzVector based on x,y,x,t (or px,py,pz,E) coordinates in float precision with metric (-,-,-,+).
typedef
LorentzVector
< PxPyPzM4D< double > > 		PxPyPzMVector
 LorentzVector based on the x, y, z, and Mass in double precision.
typedef
LorentzVector
< PtEtaPhiE4D
< double > > 		PtEtaPhiEVector
 LorentzVector based on the cylindrical coordinates Pt, eta, phi and E (rho, eta, phi, t) in double precision.
typedef
LorentzVector
< PtEtaPhiM4D
< double > > 		PtEtaPhiMVector
 LorentzVector based on the cylindrical coordinates pt, eta, phi and Mass in double precision.
typedef double(* FreeFunctionPtr )(double)
typedef double(* FreeMultiFunctionPtr )(const double *)
typedef double(* FreeParamMultiFunctionPtr )(const double *, const double *)
typedef double(* FreeMultiFunctionPtr )(const double *)
typedef Plane3D::Scalar Scalar
typedef Plane3D::Point XYZPoint
typedef Plane3D::Vector XYZVector
typedef
Rotation3D::Scalar 		Scalar
typedef
Transform3D::Point 		XYZPoint
typedef
Transform3D::Vector 		XYZVector
typedef
Translation3D::Vector 		XYZVector
typedef
PositionVector3D
< Cartesian3D
< double > > 		XYZPoint
typedef double(* GSLFuncPointer )(double, void *)
 Function pointer corresponding to gsl_function signature.
typedef double(* GSLFuncPointer )(double, void *)
typedef void(* GSLFdfPointer )(double, void *, double *, double *)
typedef double(* GSLMonteFuncPointer )(double *, size_t, void *)
 Class for adapting any multi-dimension C++ functor class to C function pointers used by GSL MonteCarlo integration algorithms.
typedef double(* GSLMonteFuncPointer )(double *, size_t, void *)
typedef double(* GSLMultiFitFPointer )(const gsl_vector *, void *, gsl_vector *)
typedef void(* GSLMultiFitDfPointer )(const gsl_vector *, void *, gsl_matrix *)
typedef void(* GSLMultiFitFdfPointer )(const gsl_vector *, void *, gsl_vector *, gsl_matrix *)
typedef double(* GSLMultiMinFuncPointer )(const gsl_vector *, void *)
typedef void(* GSLMultiMinDfPointer )(const gsl_vector *, void *, gsl_vector *)
typedef void(* GSLMultiMinFdfPointer )(const gsl_vector *, void *, double *, gsl_vector *)
typedef SMatrix
< double,
2, 2, MatRepStd
< double, 2, 2 > > 		SMatrix2D
typedef SMatrix
< double,
3, 3, MatRepStd
< double, 3, 3 > > 		SMatrix3D
typedef SMatrix
< double,
4, 4, MatRepStd
< double, 4, 4 > > 		SMatrix4D
typedef SMatrix
< double,
5, 5, MatRepStd
< double, 5, 5 > > 		SMatrix5D
typedef SMatrix
< double,
6, 6, MatRepStd
< double, 6, 6 > > 		SMatrix6D
typedef SMatrix
< double,
7, 7, MatRepStd
< double, 7, 7 > > 		SMatrix7D
typedef SMatrix
< double,
2, 2, MatRepSym
< double, 2 > > 		SMatrixSym2D
typedef SMatrix
< double,
3, 3, MatRepSym
< double, 3 > > 		SMatrixSym3D
typedef SMatrix
< double,
4, 4, MatRepSym
< double, 4 > > 		SMatrixSym4D
typedef SMatrix
< double,
5, 5, MatRepSym
< double, 5 > > 		SMatrixSym5D
typedef SMatrix
< double,
6, 6, MatRepSym
< double, 6 > > 		SMatrixSym6D
typedef SMatrix
< double,
7, 7, MatRepSym
< double, 7 > > 		SMatrixSym7D
typedef SMatrix
< float,
2, 2, MatRepStd
< float, 2, 2 > > 		SMatrix2F
typedef SMatrix
< float,
3, 3, MatRepStd
< float, 3, 3 > > 		SMatrix3F
typedef SMatrix
< float,
4, 4, MatRepStd
< float, 4, 4 > > 		SMatrix4F
typedef SMatrix
< float,
5, 5, MatRepStd
< float, 5, 5 > > 		SMatrix5F
typedef SMatrix
< float,
6, 6, MatRepStd
< float, 6, 6 > > 		SMatrix6F
typedef SMatrix
< float,
7, 7, MatRepStd
< float, 7, 7 > > 		SMatrix7F
typedef SMatrix
< float,
2, 2, MatRepSym
< float, 2 > > 		SMatrixSym2F
typedef SMatrix
< float,
3, 3, MatRepSym
< float, 3 > > 		SMatrixSym3F
typedef SMatrix
< float,
4, 4, MatRepSym
< float, 4 > > 		SMatrixSym4F
typedef SMatrix
< float,
5, 5, MatRepSym
< float, 5 > > 		SMatrixSym5F
typedef SMatrix
< float,
6, 6, MatRepSym
< float, 6 > > 		SMatrixSym6F
typedef SMatrix
< float,
7, 7, MatRepSym
< float, 7 > > 		SMatrixSym7F

Enumerations

enum  ERotation3DMatrixIndex {
  kXX = 0, kXY = 1, kXZ = 2, kYX = 3,
  kYY = 4, kYZ = 5, kZX = 6, kZY = 7,
  kZZ = 8
}
enum  EGSLMinimizerType {
  kConjugateFR, kConjugatePR, kVectorBFGS, kVectorBFGS2,
  kSteepestDescent
}
 enumeration specifying the types of GSL minimizers More...

Functions

template<class R>
AxisAngle::Scalar Distance (const AxisAngle &r1, const R &r2)
 Distance between two rotations.
AxisAngle operator * (RotationX const &r1, AxisAngle const &r2)
 Multiplication of an axial rotation by an AxisAngle.
AxisAngle operator * (RotationY const &r1, AxisAngle const &r2)
AxisAngle operator * (RotationZ const &r1, AxisAngle const &r2)
std::ostream & operator<< (std::ostream &os, const AxisAngle &a)
 Stream Output and Input.
std::ostream & operator<< (std::ostream &os, const Boost &b)
 Stream Output and Input.
std::ostream & operator<< (std::ostream &os, const BoostX &b)
 Stream Output and Input.
std::ostream & operator<< (std::ostream &os, const BoostY &b)
 Stream Output and Input.
std::ostream & operator<< (std::ostream &os, const BoostZ &b)
 Stream Output and Input.
template<class CoordSystem1, class CoordSystem2, class U>
DisplacementVector2D
< CoordSystem1, U > 		operator+ (DisplacementVector2D< CoordSystem1, U > v1, const DisplacementVector2D< CoordSystem2, U > &v2)
 Addition of DisplacementVector2D vectors.
template<class CoordSystem1, class CoordSystem2, class U>
DisplacementVector2D
< CoordSystem1, U > 		operator- (DisplacementVector2D< CoordSystem1, U > v1, DisplacementVector2D< CoordSystem2, U > const &v2)
 Difference between two DisplacementVector2D vectors.
template<class CoordSystem, class U>
DisplacementVector2D
< CoordSystem, U > 		operator * (typename DisplacementVector2D< CoordSystem, U >::Scalar a, DisplacementVector2D< CoordSystem, U > v)
 Multiplication of a displacement vector by real number a*v.
template<class char_t, class traits_t, class T, class U>
std::basic_ostream
< char_t, traits_t > & 		operator<< (std::basic_ostream< char_t, traits_t > &os, DisplacementVector2D< T, U > const &v)
template<class char_t, class traits_t, class T, class U>
std::basic_istream
< char_t, traits_t > & 		operator>> (std::basic_istream< char_t, traits_t > &is, DisplacementVector2D< T, U > &v)
template<class CoordSystem1, class CoordSystem2, class U>
DisplacementVector3D
< CoordSystem1, U > 		operator+ (DisplacementVector3D< CoordSystem1, U > v1, const DisplacementVector3D< CoordSystem2, U > &v2)
 Addition of DisplacementVector3D vectors.
template<class CoordSystem1, class CoordSystem2, class U>
DisplacementVector3D
< CoordSystem1, U > 		operator- (DisplacementVector3D< CoordSystem1, U > v1, DisplacementVector3D< CoordSystem2, U > const &v2)
 Difference between two DisplacementVector3D vectors.
template<class CoordSystem, class U>
DisplacementVector3D
< CoordSystem, U > 		operator * (typename DisplacementVector3D< CoordSystem, U >::Scalar a, DisplacementVector3D< CoordSystem, U > v)
 Multiplication of a displacement vector by real number a*v.
template<class char_t, class traits_t, class T, class U>
std::basic_ostream
< char_t, traits_t > & 		operator<< (std::basic_ostream< char_t, traits_t > &os, DisplacementVector3D< T, U > const &v)
template<class char_t, class traits_t, class T, class U>
std::basic_istream
< char_t, traits_t > & 		operator>> (std::basic_istream< char_t, traits_t > &is, DisplacementVector3D< T, U > &v)
long double etaMax_impl ()
 The following function could be called to provide the maximum possible value of pseudorapidity for a non-zero rho.
template<class T>
T etaMax ()
 Function providing the maximum possible value of pseudorapidity for a non-zero rho, in the Scalar type with the largest dynamic range.
template<class R>
EulerAngles::Scalar Distance (const EulerAngles &r1, const R &r2)
 Distance between two rotations.
EulerAngles operator * (RotationX const &r1, EulerAngles const &r2)
 Multiplication of an axial rotation by an AxisAngle.
EulerAngles operator * (RotationY const &r1, EulerAngles const &r2)
EulerAngles operator * (RotationZ const &r1, EulerAngles const &r2)
std::ostream & operator<< (std::ostream &os, const EulerAngles &e)
 Stream Output and Input.
void Throw (GenVector_exception &e)
template<class char_t>
detail::manipulator
< char_t > 		set_open (char_t ch)
template<class char_t>
detail::manipulator
< char_t > 		set_separator (char_t ch)
template<class char_t>
detail::manipulator
< char_t > 		set_close (char_t ch)
template<class char_t, class traits_t>
std::basic_ios
< char_t, traits_t > & 		human_readable (std::basic_ios< char_t, traits_t > &ios)
template<class char_t, class traits_t>
std::basic_ios
< char_t, traits_t > & 		machine_readable (std::basic_ios< char_t, traits_t > &ios)
std::ostream & operator<< (std::ostream &os, const LorentzRotation &r)
 Stream Output and Input.
template<class CoordSystem>
LorentzVector
< CoordSystem > 		operator * (const typename LorentzVector< CoordSystem >::Scalar &a, const LorentzVector< CoordSystem > &v)
 Scale of a LorentzVector with a scalar quantity a.
template<class char_t, class traits_t, class Coords>
std::basic_ostream
< char_t, traits_t > & 		operator<< (std::basic_ostream< char_t, traits_t > &os, LorentzVector< Coords > const &v)
template<class char_t, class traits_t, class Coords>
std::basic_istream
< char_t, traits_t > & 		operator>> (std::basic_istream< char_t, traits_t > &is, LorentzVector< Coords > &v)
std::ostream & operator<< (std::ostream &os, const Plane3D &p)
 Stream Output and Input.
template<class CoordSystem, class U>
PositionVector2D
< CoordSystem > 		operator * (typename PositionVector2D< CoordSystem, U >::Scalar a, PositionVector2D< CoordSystem, U > v)
 Multiplication of a position vector by real number a*v.
template<class CoordSystem1, class CoordSystem2, class U>
DisplacementVector2D
< CoordSystem1, U > 		operator- (const PositionVector2D< CoordSystem1, U > &v1, const PositionVector2D< CoordSystem2, U > &v2)
 Difference between two PositionVector2D vectors.
template<class CoordSystem1, class CoordSystem2, class U>
PositionVector2D
< CoordSystem2, U > 		operator+ (PositionVector2D< CoordSystem2, U > p1, const DisplacementVector2D< CoordSystem1, U > &v2)
 Addition of a PositionVector2D and a DisplacementVector2D.
template<class CoordSystem1, class CoordSystem2, class U>
PositionVector2D
< CoordSystem2, U > 		operator+ (DisplacementVector2D< CoordSystem1, U > const &v1, PositionVector2D< CoordSystem2, U > p2)
 Addition of a DisplacementVector2D and a PositionVector2D.
template<class CoordSystem1, class CoordSystem2, class U>
PositionVector2D
< CoordSystem2, U > 		operator- (PositionVector2D< CoordSystem2, U > p1, DisplacementVector2D< CoordSystem1, U > const &v2)
 Subtraction of a DisplacementVector2D from a PositionVector2D.
template<class char_t, class traits_t, class T, class U>
std::basic_ostream
< char_t, traits_t > & 		operator<< (std::basic_ostream< char_t, traits_t > &os, PositionVector2D< T, U > const &v)
template<class char_t, class traits_t, class T, class U>
std::basic_istream
< char_t, traits_t > & 		operator>> (std::basic_istream< char_t, traits_t > &is, PositionVector2D< T, U > &v)
template<class CoordSystem, class U>
PositionVector3D
< CoordSystem > 		operator * (typename PositionVector3D< CoordSystem, U >::Scalar a, PositionVector3D< CoordSystem, U > v)
 Multiplication of a position vector by real number a*v.
template<class CoordSystem1, class CoordSystem2, class U>
DisplacementVector3D
< CoordSystem1, U > 		operator- (const PositionVector3D< CoordSystem1, U > &v1, const PositionVector3D< CoordSystem2, U > &v2)
 Difference between two PositionVector3D vectors.
template<class CoordSystem1, class CoordSystem2, class U>
PositionVector3D
< CoordSystem2, U > 		operator+ (PositionVector3D< CoordSystem2, U > p1, const DisplacementVector3D< CoordSystem1, U > &v2)
 Addition of a PositionVector3D and a DisplacementVector3D.
template<class CoordSystem1, class CoordSystem2, class U>
PositionVector3D
< CoordSystem2, U > 		operator+ (DisplacementVector3D< CoordSystem1, U > const &v1, PositionVector3D< CoordSystem2, U > p2)
 Addition of a DisplacementVector3D and a PositionVector3D.
template<class CoordSystem1, class CoordSystem2, class U>
PositionVector3D
< CoordSystem2, U > 		operator- (PositionVector3D< CoordSystem2, U > p1, DisplacementVector3D< CoordSystem1, U > const &v2)
 Subtraction of a DisplacementVector3D from a PositionVector3D.
template<class char_t, class traits_t, class T, class U>
std::basic_ostream
< char_t, traits_t > & 		operator<< (std::basic_ostream< char_t, traits_t > &os, PositionVector3D< T, U > const &v)
template<class char_t, class traits_t, class T, class U>
std::basic_istream
< char_t, traits_t > & 		operator>> (std::basic_istream< char_t, traits_t > &is, PositionVector3D< T, U > &v)
template<class R>
Quaternion::Scalar Distance (const Quaternion &r1, const R &r2)
 Distance between two rotations.
Quaternion operator * (RotationX const &r1, Quaternion const &r2)
 Multiplication of an axial rotation by an AxisAngle.
Quaternion operator * (RotationY const &r1, Quaternion const &r2)
Quaternion operator * (RotationZ const &r1, Quaternion const &r2)
std::ostream & operator<< (std::ostream &os, const Quaternion &q)
 Stream Output and Input.
template<class R>
Rotation3D::Scalar Distance (const Rotation3D &r1, const R &r2)
 Distance between two rotations.
Rotation3D operator * (RotationX const &r1, Rotation3D const &r2)
 Multiplication of an axial rotation by a Rotation3D.
Rotation3D operator * (RotationY const &r1, Rotation3D const &r2)
Rotation3D operator * (RotationZ const &r1, Rotation3D const &r2)
Rotation3D operator * (RotationX const &r1, RotationY const &r2)
 Multiplication of an axial rotation by another axial Rotation.
Rotation3D operator * (RotationX const &r1, RotationZ const &r2)
Rotation3D operator * (RotationY const &r1, RotationX const &r2)
Rotation3D operator * (RotationY const &r1, RotationZ const &r2)
Rotation3D operator * (RotationZ const &r1, RotationX const &r2)
Rotation3D operator * (RotationZ const &r1, RotationY const &r2)
std::ostream & operator<< (std::ostream &os, const Rotation3D &r)
 Stream Output and Input.
template<class R>
RotationX::Scalar Distance (const RotationX &r1, const R &r2)
 Distance between two rotations.
std::ostream & operator<< (std::ostream &os, const RotationX &r)
 Stream Output and Input.
template<class R>
RotationY::Scalar Distance (const RotationY &r1, const R &r2)
 Distance between two rotations.
std::ostream & operator<< (std::ostream &os, const RotationY &r)
 Stream Output and Input.
template<class R>
RotationZ::Scalar Distance (const RotationZ &r1, const R &r2)
 Distance between two rotations.
std::ostream & operator<< (std::ostream &os, const RotationZ &r)
 Stream Output and Input.
template<class R>
RotationZYX::Scalar Distance (const RotationZYX &r1, const R &r2)
 Distance between two rotations.
RotationZYX operator * (RotationX const &r1, RotationZYX const &r2)
 Multiplication of an axial rotation by an AxisAngle.
RotationZYX operator * (RotationY const &r1, RotationZYX const &r2)
RotationZYX operator * (RotationZ const &r1, RotationZYX const &r2)
std::ostream & operator<< (std::ostream &os, const RotationZYX &e)
 Stream Output and Input.
Transform3D operator * (const Rotation3D &r, const Translation3D &t)
 combine a translation and a rotation to give a transform3d First the translation then the rotation
Transform3D operator * (const RotationX &r, const Translation3D &t)
Transform3D operator * (const RotationY &r, const Translation3D &t)
Transform3D operator * (const RotationZ &r, const Translation3D &t)
Transform3D operator * (const RotationZYX &r, const Translation3D &t)
Transform3D operator * (const AxisAngle &r, const Translation3D &t)
Transform3D operator * (const EulerAngles &r, const Translation3D &t)
Transform3D operator * (const Quaternion &r, const Translation3D &t)
Transform3D operator * (const Translation3D &t, const Rotation3D &r)
 combine a rotation and a translation to give a transform3d First a rotation then the translation
Transform3D operator * (const Translation3D &t, const RotationX &r)
Transform3D operator * (const Translation3D &t, const RotationY &r)
Transform3D operator * (const Translation3D &t, const RotationZ &r)
Transform3D operator * (const Translation3D &t, const RotationZYX &r)
Transform3D operator * (const Translation3D &t, const EulerAngles &r)
Transform3D operator * (const Translation3D &t, const Quaternion &r)
Transform3D operator * (const Translation3D &t, const AxisAngle &r)
Transform3D operator * (const Transform3D &t, const Translation3D &d)
 combine a transformation and a translation to give a transform3d First the translation then the transform3D
Transform3D operator * (const Translation3D &d, const Transform3D &t)
 combine a translation and a transformation to give a transform3d First the transformation then the translation
Transform3D operator * (const Transform3D &t, const Rotation3D &r)
 combine a transformation and a rotation to give a transform3d First the rotation then the transform3D
Transform3D operator * (const Transform3D &t, const RotationX &r)
Transform3D operator * (const Transform3D &t, const RotationY &r)
Transform3D operator * (const Transform3D &t, const RotationZ &r)
Transform3D operator * (const Transform3D &t, const RotationZYX &r)
Transform3D operator * (const Transform3D &t, const EulerAngles &r)
Transform3D operator * (const Transform3D &t, const AxisAngle &r)
Transform3D operator * (const Transform3D &t, const Quaternion &r)
Transform3D operator * (const Rotation3D &r, const Transform3D &t)
 combine a rotation and a transformation to give a transform3d First the transformation then the rotation
Transform3D operator * (const RotationX &r, const Transform3D &t)
Transform3D operator * (const RotationY &r, const Transform3D &t)
Transform3D operator * (const RotationZ &r, const Transform3D &t)
Transform3D operator * (const RotationZYX &r, const Transform3D &t)
Transform3D operator * (const EulerAngles &r, const Transform3D &t)
Transform3D operator * (const AxisAngle &r, const Transform3D &t)
Transform3D operator * (const Quaternion &r, const Transform3D &t)
std::ostream & operator<< (std::ostream &os, const Transform3D &t)
 print the 12 components of the Transform3D
std::ostream & operator<< (std::ostream &os, const Translation3D &t)
double Pi ()
 Mathematical constants.
double log1p (double x)
 declarations for functions which are not implemented by some compilers
double expm1 (double x)
 exp(x) -1 with error cancellation when x is small
double beta_cdf_c (double x, double a, double b)
 Complement of the cumulative distribution function of the beta distribution.
double beta_cdf (double x, double a, double b)
 Cumulative distribution function of the beta distribution Upper tail of the integral of the beta_pdf.
double breitwigner_cdf_c (double x, double gamma, double x0=0)
 Complement of the cumulative distribution function (upper tail) of the Breit_Wigner distribution and it is similar (just a different parameter definition) to the Cauchy distribution (see cauchy_cdf_c ).
double breitwigner_cdf (double x, double gamma, double x0=0)
 Cumulative distribution function (lower tail) of the Breit_Wigner distribution and it is similar (just a different parameter definition) to the Cauchy distribution (see cauchy_cdf ).
double cauchy_cdf_c (double x, double b, double x0=0)
 Complement of the cumulative distribution function (upper tail) of the Cauchy distribution which is also Lorentzian distribution.
double cauchy_cdf (double x, double b, double x0=0)
 Cumulative distribution function (lower tail) of the Cauchy distribution which is also Lorentzian distribution.
double chisquared_cdf_c (double x, double r, double x0=0)
 Complement of the cumulative distribution function of the $\chi^2$ distribution with $r$ degrees of freedom (upper tail).
double chisquared_cdf (double x, double r, double x0=0)
 Cumulative distribution function of the $\chi^2$ distribution with $r$ degrees of freedom (lower tail).
double exponential_cdf_c (double x, double lambda, double x0=0)
 Complement of the cumulative distribution function of the exponential distribution (upper tail).
double exponential_cdf (double x, double lambda, double x0=0)
 Cumulative distribution function of the exponential distribution (lower tail).
double fdistribution_cdf_c (double x, double n, double m, double x0=0)
 Complement of the cumulative distribution function of the F-distribution (upper tail).
double fdistribution_cdf (double x, double n, double m, double x0=0)
 Cumulative distribution function of the F-distribution (lower tail).
double gamma_cdf_c (double x, double alpha, double theta, double x0=0)
 Complement of the cumulative distribution function of the gamma distribution (upper tail).
double gamma_cdf (double x, double alpha, double theta, double x0=0)
 Cumulative distribution function of the gamma distribution (lower tail).
double landau_cdf (double x, double sigma=1, double x0=0)
 Cumulative distribution function of the Landau distribution (lower tail).
double landau_cdf_c (double x, double sigma=1, double x0=0)
 Complement of the distribution function of the Landau distribution (upper tail).
double lognormal_cdf_c (double x, double m, double s, double x0=0)
 Complement of the cumulative distribution function of the lognormal distribution (upper tail).
double lognormal_cdf (double x, double m, double s, double x0=0)
 Cumulative distribution function of the lognormal distribution (lower tail).
double normal_cdf_c (double x, double sigma=1, double x0=0)
 Complement of the cumulative distribution function of the normal (Gaussian) distribution (upper tail).
double gaussian_cdf_c (double x, double sigma=1, double x0=0)
 Alternative name for same function.
double normal_cdf (double x, double sigma=1, double x0=0)
 Cumulative distribution function of the normal (Gaussian) distribution (lower tail).
double gaussian_cdf (double x, double sigma=1, double x0=0)
 Alternative name for same function.
double tdistribution_cdf_c (double x, double r, double x0=0)
 Complement of the cumulative distribution function of Student's t-distribution (upper tail).
double tdistribution_cdf (double x, double r, double x0=0)
 Cumulative distribution function of Student's t-distribution (lower tail).
double uniform_cdf_c (double x, double a, double b, double x0=0)
 Complement of the cumulative distribution function of the uniform (flat) distribution (upper tail).
double uniform_cdf (double x, double a, double b, double x0=0)
 Cumulative distribution function of the uniform (flat) distribution (lower tail).
double poisson_cdf_c (unsigned int n, double mu)
 Complement of the cumulative distribution function of the Poisson distribution.
double poisson_cdf (unsigned int n, double mu)
 Cumulative distribution function of the Poisson distribution Lower tail of the integral of the poisson_pdf.
double binomial_cdf_c (unsigned int k, double p, unsigned int n)
 Complement of the cumulative distribution function of the Binomial distribution.
double binomial_cdf (unsigned int k, double p, unsigned int n)
 Cumulative distribution function of the Binomial distribution Lower tail of the integral of the binomial_pdf.
XYZVector operator * (double a, XYZVector v)
XYZPoint operator * (double a, XYZPoint p)
XYZTVector operator * (double a, XYZTVector v)
double Polynomialeval (double x, double *a, unsigned int N)
double Polynomial1eval (double x, double *a, unsigned int N)
template<class T, unsigned int D>
VecExpr< BinaryOp
< AddOp< T >,
SVector< T, D >,
SVector< T, D >, T >,
T, D > 		operator+ (const SVector< T, D > &lhs, const SVector< T, D > &rhs)
 Addition of two vectors v3 = v1+v2 returning a vector expression.
template<class A, class T, unsigned int D>
VecExpr< BinaryOp
< AddOp< T >,
VecExpr< A, T, D >,
SVector< T, D >, T >,
T, D > 		operator+ (const VecExpr< A, T, D > &lhs, const SVector< T, D > &rhs)
template<class A, class T, unsigned int D>
VecExpr< BinaryOp
< AddOp< T >,
SVector< T, D >,
VecExpr< A, T, D >,
T >, T, D > 		operator+ (const SVector< T, D > &lhs, const VecExpr< A, T, D > &rhs)
template<class A, class B, class T, unsigned int D>
VecExpr< BinaryOp
< AddOp< T >,
VecExpr< A, T, D >,
VecExpr< B, T, D >,
T >, T, D > 		operator+ (const VecExpr< A, T, D > &lhs, const VecExpr< B, T, D > &rhs)
template<class A, class T, unsigned int D>
VecExpr
< BinaryOpCopyR
< AddOp< T >,
SVector< T, D >,
Constant< A >, T >,
T, D > 		operator+ (const SVector< T, D > &lhs, const A &rhs)
 Addition of a scalar to a each vector element: v2(i) = v1(i) + a returning a vector expression.
template<class A, class T, unsigned int D>
VecExpr
< BinaryOpCopyL
< AddOp< T >,
Constant< A >,
SVector< T, D >, T >,
T, D > 		operator+ (const A &lhs, const SVector< T, D > &rhs)
 Addition of a scalar to each vector element v2(i) = a + v1(i) returning a vector expression.
template<class A, class B, class T, unsigned int D>
VecExpr
< BinaryOpCopyR
< AddOp< T >,
VecExpr< B, T, D >,
Constant< A >, T >,
T, D > 		operator+ (const VecExpr< B, T, D > &lhs, const A &rhs)
template<class A, class B, class T, unsigned int D>
VecExpr
< BinaryOpCopyL
< AddOp< T >,
Constant< A >,
VecExpr< B, T, D >,
T >, T, D > 		operator+ (const A &lhs, const VecExpr< B, T, D > &rhs)
template<class T, unsigned int D, unsigned int D2, class R1, class R2>
Expr< BinaryOp
< AddOp< T >,
SMatrix< T, D, D2,
R1 >, SMatrix< T, D,
D2, R2 >, T >, T, D,
D2, typename
AddPolicy< T, D, D2,
R1, R2 >::RepType > 		operator+ (const SMatrix< T, D, D2, R1 > &lhs, const SMatrix< T, D, D2, R2 > &rhs)
 Addition of two matrices C = A+B returning a matrix expression.
template<class A, class T, unsigned int D, unsigned int D2, class R1, class R2>
Expr< BinaryOp
< AddOp< T >, Expr
< A, T, D, D2, R1 >,
SMatrix< T, D, D2,
R2 >, T >, T, D, D2,
typename AddPolicy
< T, D, D2, R1, R2 >
::RepType > 		operator+ (const Expr< A, T, D, D2, R1 > &lhs, const SMatrix< T, D, D2, R2 > &rhs)
template<class A, class T, unsigned int D, unsigned int D2, class R1, class R2>
Expr< BinaryOp
< AddOp< T >,
SMatrix< T, D, D2,
R1 >, Expr< A, T, D,
D2, R2 >, T >, T, D,
D2, typename
AddPolicy< T, D, D2,
R1, R2 >::RepType > 		operator+ (const SMatrix< T, D, D2, R1 > &lhs, const Expr< A, T, D, D2, R2 > &rhs)
template<class A, class B, class T, unsigned int D, unsigned int D2, class R1, class R2>
Expr< BinaryOp
< AddOp< T >, Expr
< A, T, D, D2, R1 >,
Expr< B, T, D, D2,
R2 >, T >, T, D, D2,
typename AddPolicy
< T, D, D2, R1, R2 >
::RepType > 		operator+ (const Expr< A, T, D, D2, R1 > &lhs, const Expr< B, T, D, D2, R1 > &rhs)
template<class A, class T, unsigned int D, unsigned int D2, class R>
Expr< BinaryOpCopyR
< AddOp< T >,
SMatrix< T, D, D2,
R >, Constant< A >,
T >, T, D, D2, R > 		operator+ (const SMatrix< T, D, D2, R > &lhs, const A &rhs)
 Addition element by element of matrix and a scalar C(i,j) = A(i,j) + s returning a matrix expression.
template<class A, class T, unsigned int D, unsigned int D2, class R>
Expr< BinaryOpCopyL
< AddOp< T >,
Constant< A >,
SMatrix< T, D, D2,
R >, T >, T, D, D2,
R > 		operator+ (const A &lhs, const SMatrix< T, D, D2, R > &rhs)
 Addition element by element of matrix and a scalar C(i,j) = s + A(i,j) returning a matrix expression.
template<class A, class B, class T, unsigned int D, unsigned int D2, class R>
Expr< BinaryOpCopyR
< AddOp< T >, Expr
< B, T, D, D2, R >,
Constant< A >, T >,
T, D, D2, R > 		operator+ (const Expr< B, T, D, D2, R > &lhs, const A &rhs)
template<class A, class B, class T, unsigned int D, unsigned int D2, class R>
Expr< BinaryOpCopyL
< AddOp< T >,
Constant< A >, Expr
< B, T, D, D2, R >,
T >, T, D, D2, R > 		operator+ (const A &lhs, const Expr< B, T, D, D2, R > &rhs)
template<class T, unsigned int D>
VecExpr< BinaryOp
< MinOp< T >,
SVector< T, D >,
SVector< T, D >, T >,
T, D > 		operator- (const SVector< T, D > &lhs, const SVector< T, D > &rhs)
 Vector Subtraction: v3 = v1 - v2 returning a vector expression.
template<class A, class T, unsigned int D>
VecExpr< BinaryOp
< MinOp< T >,
VecExpr< A, T, D >,
SVector< T, D >, T >,
T, D > 		operator- (const VecExpr< A, T, D > &lhs, const SVector< T, D > &rhs)
template<class A, class T, unsigned int D>
VecExpr< BinaryOp
< MinOp< T >,
SVector< T, D >,
VecExpr< A, T, D >,
T >, T, D > 		operator- (const SVector< T, D > &lhs, const VecExpr< A, T, D > &rhs)
template<class A, class B, class T, unsigned int D>
VecExpr< BinaryOp
< MinOp< T >,
VecExpr< A, T, D >,
VecExpr< B, T, D >,
T >, T, D > 		operator- (const VecExpr< A, T, D > &lhs, const VecExpr< B, T, D > &rhs)
template<class A, class T, unsigned int D>
VecExpr
< BinaryOpCopyR
< MinOp< T >,
SVector< T, D >,
Constant< A >, T >,
T, D > 		operator- (const SVector< T, D > &lhs, const A &rhs)
 Subtraction of a scalar from each vector element: v2(i) = v1(i) - a returning a vector expression.
template<class A, class T, unsigned int D>
VecExpr
< BinaryOpCopyL
< MinOp< T >,
Constant< A >,
SVector< T, D >, T >,
T, D > 		operator- (const A &lhs, const SVector< T, D > &rhs)
 Subtraction scalar vector (for each vector element) v2(i) = a - v1(i) returning a vector expression.
template<class A, class B, class T, unsigned int D>
VecExpr
< BinaryOpCopyR
< MinOp< T >,
VecExpr< B, T, D >,
Constant< A >, T >,
T, D > 		operator- (const VecExpr< B, T, D > &lhs, const A &rhs)
template<class A, class B, class T, unsigned int D>
VecExpr
< BinaryOpCopyL
< MinOp< T >,
Constant< A >,
VecExpr< B, T, D >,
T >, T, D > 		operator- (const A &lhs, const VecExpr< B, T, D > &rhs)
template<class T, unsigned int D, unsigned int D2, class R1, class R2>
Expr< BinaryOp
< MinOp< T >,
SMatrix< T, D, D2,
R1 >, SMatrix< T, D,
D2, R2 >, T >, T, D,
D2, typename
AddPolicy< T, D, D2,
R1, R2 >::RepType > 		operator- (const SMatrix< T, D, D2, R1 > &lhs, const SMatrix< T, D, D2, R2 > &rhs)
 Subtraction of two matrices C = A-B returning a matrix expression.
template<class A, class T, unsigned int D, unsigned int D2, class R1, class R2>
Expr< BinaryOp
< MinOp< T >, Expr
< A, T, D, D2, R1 >,
SMatrix< T, D, D2,
R2 >, T >, T, D, D2,
typename AddPolicy
< T, D, D2, R1, R2 >
::RepType > 		operator- (const Expr< A, T, D, D2, R1 > &lhs, const SMatrix< T, D, D2, R2 > &rhs)
template<class A, class T, unsigned int D, unsigned int D2, class R1, class R2>
Expr< BinaryOp
< MinOp< T >,
SMatrix< T, D, D2,
R1 >, Expr< A, T, D,
D2, R2 >, T >, T, D,
D2, typename
AddPolicy< T, D, D2,
R1, R2 >::RepType > 		operator- (const SMatrix< T, D, D2, R1 > &lhs, const Expr< A, T, D, D2, R2 > &rhs)
template<class A, class B, class T, unsigned int D, unsigned int D2, class R1, class R2>
Expr< BinaryOp
< MinOp< T >, Expr
< A, T, D, D2, R1 >,
Expr< B, T, D, D2,
R2 >, T >, T, D, D2,
typename AddPolicy
< T, D, D2, R1, R2 >
::RepType > 		operator- (const Expr< A, T, D, D2, R1 > &lhs, const Expr< B, T, D, D2, R2 > &rhs)
template<class A, class T, unsigned int D, unsigned int D2, class R>
Expr< BinaryOpCopyR
< MinOp< T >,
SMatrix< T, D, D2,
R >, Constant< A >,
T >, T, D, D2, R > 		operator- (const SMatrix< T, D, D2, R > &lhs, const A &rhs)
 Subtraction of a scalar and a matrix (element wise) B(i,j) = A(i,j) - s returning a matrix expression.
template<class A, class T, unsigned int D, unsigned int D2, class R>
Expr< BinaryOpCopyL
< MinOp< T >,
Constant< A >,
SMatrix< T, D, D2,
R >, T >, T, D, D2,
R > 		operator- (const A &lhs, const SMatrix< T, D, D2, R > &rhs)
 Subtraction of a scalar and a matrix (element wise) B(i,j) = s - A(i,j) returning a matrix expression.
template<class A, class B, class T, unsigned int D, unsigned int D2, class R>
Expr< BinaryOpCopyR
< MinOp< T >, Expr
< B, T, D, D2, R >,
Constant< A >, T >,
T, D, D2, R > 		operator- (const Expr< B, T, D, D2, R > &lhs, const A &rhs)
template<class A, class B, class T, unsigned int D, unsigned int D2, class R>
Expr< BinaryOpCopyL
< MinOp< T >,
Constant< A >, Expr
< B, T, D, D2, R >,
T >, T, D, D2, R > 		operator- (const A &lhs, const Expr< B, T, D, D2, R > &rhs)
template<class T, unsigned int D>
VecExpr< BinaryOp
< MulOp< T >,
SVector< T, D >,
SVector< T, D >, T >,
T, D > 		operator * (const SVector< T, D > &lhs, const SVector< T, D > &rhs)
 Element by element vector product v3(i) = v1(i)*v2(i) returning a vector expression.
template<class A, class T, unsigned int D>
VecExpr< BinaryOp
< MulOp< T >, Expr
< A, T, D >, SVector
< T, D >, T >, T, D > 		operator * (const VecExpr< A, T, D > &lhs, const SVector< T, D > &rhs)
template<class A, class T, unsigned int D>
VecExpr< BinaryOp
< MulOp< T >,
SVector< T, D >,
VecExpr< A, T, D >,
T >, T, D > 		operator * (const SVector< T, D > &lhs, const VecExpr< A, T, D > &rhs)
template<class A, class B, class T, unsigned int D>
VecExpr< BinaryOp
< MulOp< T >,
VecExpr< A, T, D >,
VecExpr< B, T, D >,
T >, T, D > 		operator * (const VecExpr< A, T, D > &lhs, const VecExpr< B, T, D > &rhs)
template<class A, class T, unsigned int D>
VecExpr
< BinaryOpCopyR
< MulOp< T >,
SVector< T, D >,
Constant< A >, T >,
T, D > 		operator * (const SVector< T, D > &lhs, const A &rhs)
template<class A, class T, unsigned int D>
VecExpr
< BinaryOpCopyL
< MulOp< T >,
Constant< A >,
SVector< T, D >, T >,
T, D > 		operator * (const A &lhs, const SVector< T, D > &rhs)
template<class A, class B, class T, unsigned int D>
VecExpr
< BinaryOpCopyR
< MulOp< T >,
VecExpr< B, T, D >,
Constant< A >, T >,
T, D > 		operator * (const VecExpr< B, T, D > &lhs, const A &rhs)
template<class A, class B, class T, unsigned int D>
VecExpr
< BinaryOpCopyL
< MulOp< T >,
Constant< A >,
VecExpr< B, T, D >,
T >, T, D > 		operator * (const A &lhs, const VecExpr< B, T, D > &rhs)
template<class T, unsigned int D, unsigned int D2, class R1, class R2>
Expr< BinaryOp
< MulOp< T >,
SMatrix< T, D, D2,
R1 >, SMatrix< T, D,
D2, R2 >, T >, T, D,
D2, typename
AddPolicy< T, D, D2,
R1, R2 >::RepType > 		Times (const SMatrix< T, D, D2, R1 > &lhs, const SMatrix< T, D, D2, R2 > &rhs)
 Element by element matrix multiplication C(i,j) = A(i,j)*B(i,j) returning a matrix expression.
template<class A, class T, unsigned int D, unsigned int D2, class R1, class R2>
Expr< BinaryOp
< MulOp< T >, Expr
< A, T, D, D2, R1 >,
SMatrix< T, D, D2,
R2 >, T >, T, D, D2,
typename AddPolicy
< T, D, D2, R1, R2 >
::RepType > 		Times (const Expr< A, T, D, D2, R1 > &lhs, const SMatrix< T, D, D2, R2 > &rhs)
template<class A, class T, unsigned int D, unsigned int D2, class R1, class R2>
Expr< BinaryOp
< MulOp< T >,
SMatrix< T, D, D2,
R1 >, Expr< A, T, D,
D2, R2 >, T >, T, D,
D2, typename
AddPolicy< T, D, D2,
R1, R2 >::RepType > 		Times (const SMatrix< T, D, D2, R1 > &lhs, const Expr< A, T, D, D2, R2 > &rhs)
template<class A, class B, class T, unsigned int D, unsigned int D2, class R1, class R2>
Expr< BinaryOp
< MulOp< T >, Expr
< A, T, D, D2, R1 >,
Expr< B, T, D, D2,
R2 >, T >, T, D, D2,
typename AddPolicy
< T, D, D2, R1, R2 >
::RepType > 		Times (const Expr< A, T, D, D2, R1 > &lhs, const Expr< B, T, D, D2, R2 > &rhs)
template<class A, class T, unsigned int D, unsigned int D2, class R>
Expr< BinaryOpCopyR
< MulOp< T >,
SMatrix< T, D, D2,
R >, Constant< A >,
T >, T, D, D2, R > 		operator * (const SMatrix< T, D, D2, R > &lhs, const A &rhs)
 Multiplication (element wise) of a matrix and a scalar, B(i,j) = A(i,j) * s returning a matrix expression.
template<class A, class T, unsigned int D, unsigned int D2, class R>
Expr< BinaryOpCopyL
< MulOp< T >,
Constant< A >,
SMatrix< T, D, D2,
R >, T >, T, D, D2,
R > 		operator * (const A &lhs, const SMatrix< T, D, D2, R > &rhs)
 Multiplication (element wise) of a matrix and a scalar, B(i,j) = s * A(i,j) returning a matrix expression.
template<class A, class B, class T, unsigned int D, unsigned int D2, class R>
Expr< BinaryOpCopyR
< MulOp< T >, Expr
< B, T, D, D2, R >,
Constant< A >, T >,
T, D, D2, R > 		operator * (const Expr< B, T, D, D2, R > &lhs, const A &rhs)
template<class A, class B, class T, unsigned int D, unsigned int D2, class R>
Expr< BinaryOpCopyL
< MulOp< T >,
Constant< A >, Expr
< B, T, D, D2, R >,
T >, T, D, D2, R > 		operator * (const A &lhs, const Expr< B, T, D, D2, R > &rhs)
template<class T, unsigned int D>
VecExpr< BinaryOp
< DivOp< T >,
SVector< T, D >,
SVector< T, D >, T >,
T, D > 		operator/ (const SVector< T, D > &lhs, const SVector< T, D > &rhs)
 Element by element division of vectors of the same dimension: v3(i) = v1(i)/v2(i) returning a vector expression.
template<class A, class T, unsigned int D>
VecExpr< BinaryOp
< DivOp< T >,
VecExpr< A, T, D >,
SVector< T, D >, T >,
T, D > 		operator/ (const VecExpr< A, T, D > &lhs, const SVector< T, D > &rhs)
template<class A, class T, unsigned int D>
VecExpr< BinaryOp
< DivOp< T >,
SVector< T, D >,
VecExpr< A, T, D >,
T >, T, D > 		operator/ (const SVector< T, D > &lhs, const VecExpr< A, T, D > &rhs)
template<class A, class B, class T, unsigned int D>
VecExpr< BinaryOp
< DivOp< T >,
VecExpr< A, T, D >,
VecExpr< B, T, D >,
T >, T, D > 		operator/ (const VecExpr< A, T, D > &lhs, const VecExpr< B, T, D > &rhs)
template<class A, class T, unsigned int D>
VecExpr
< BinaryOpCopyR
< DivOp< T >,
SVector< T, D >,
Constant< A >, T >,
T, D > 		operator/ (const SVector< T, D > &lhs, const A &rhs)
 Division of the vector element by a scalar value: v2(i) = v1(i)/a returning a vector expression.
template<class A, class T, unsigned int D>
VecExpr
< BinaryOpCopyL
< DivOp< T >,
Constant< A >,
SVector< T, D >, T >,
T, D > 		operator/ (const A &lhs, const SVector< T, D > &rhs)
 Division of a scalar value by the vector element: v2(i) = a/v1(i) returning a vector expression.
template<class A, class B, class T, unsigned int D>
VecExpr
< BinaryOpCopyR
< DivOp< T >,
VecExpr< B, T, D >,
Constant< A >, T >,
T, D > 		operator/ (const VecExpr< B, T, D > &lhs, const A &rhs)
template<class A, class B, class T, unsigned int D>
VecExpr
< BinaryOpCopyL
< DivOp< T >,
Constant< A >,
VecExpr< B, T, D >,
T >, T, D > 		operator/ (const A &lhs, const VecExpr< B, T, D > &rhs)
template<class T, unsigned int D, unsigned int D2, class R1, class R2>
Expr< BinaryOp
< DivOp< T >,
SMatrix< T, D, D2,
R1 >, SMatrix< T, D,
D2, R2 >, T >, T, D,
D2, typename
AddPolicy< T, D, D2,
R1, R2 >::RepType > 		Div (const SMatrix< T, D, D2, R1 > &lhs, const SMatrix< T, D, D2, R2 > &rhs)
 Division (element wise) of two matrices of the same dimensions: C(i,j) = A(i,j) / B(i,j) returning a matrix expression.
template<class A, class T, unsigned int D, unsigned int D2, class R1, class R2>
Expr< BinaryOp
< DivOp< T >, Expr
< A, T, D, D2, R1 >,
SMatrix< T, D, D2,
R2 >, T >, T, D, D2,
typename AddPolicy
< T, D, D2, R1, R2 >
::RepType > 		Div (const Expr< A, T, D, D2, R1 > &lhs, const SMatrix< T, D, D2, R2 > &rhs)
template<class A, class T, unsigned int D, unsigned int D2, class R1, class R2>
Expr< BinaryOp
< DivOp< T >,
SMatrix< T, D, D2,
R1 >, Expr< A, T, D,
D2, R2 >, T >, T, D,
D2, typename
AddPolicy< T, D, D2,
R1, R2 >::RepType > 		Div (const SMatrix< T, D, D2, R1 > &lhs, const Expr< A, T, D, D2, R2 > &rhs)
template<class A, class B, class T, unsigned int D, unsigned int D2, class R1, class R2>
Expr< BinaryOp
< DivOp< T >, Expr
< A, T, D, D2, R1 >,
Expr< B, T, D, D2,
R2 >, T >, T, D, D2,
typename AddPolicy
< T, D, D2, R1, R2 >
::RepType > 		Div (const Expr< A, T, D, D2, R1 > &lhs, const Expr< B, T, D, D2, R2 > &rhs)
template<class A, class T, unsigned int D, unsigned int D2, class R>
Expr< BinaryOpCopyR
< DivOp< T >,
SMatrix< T, D, D2,
R >, Constant< A >,
T >, T, D, D2, R > 		operator/ (const SMatrix< T, D, D2, R > &lhs, const A &rhs)
 Division (element wise) of a matrix and a scalar, B(i,j) = A(i,j) / s returning a matrix expression.
template<class A, class T, unsigned int D, unsigned int D2, class R>
Expr< BinaryOpCopyL
< DivOp< T >,
Constant< A >,
SMatrix< T, D, D2,
R >, T >, T, D, D2,
R > 		operator/ (const A &lhs, const SMatrix< T, D, D2, R > &rhs)
 Division (element wise) of a matrix and a scalar, B(i,j) = s / A(i,j) returning a matrix expression.
template<class A, class B, class T, unsigned int D, unsigned int D2, class R>
Expr< BinaryOpCopyR
< DivOp< T >, Expr
< B, T, D, D2, R >,
Constant< A >, T >,
T, D, D2, R > 		operator/ (const Expr< B, T, D, D2, R > &lhs, const A &rhs)
template<class A, class B, class T, unsigned int D, unsigned int D2, class R>
Expr< BinaryOpCopyL
< DivOp< T >,
Constant< A >, Expr
< B, T, D, D2, R >,
T >, T, D, D2, R > 		operator/ (const A &lhs, const Expr< B, T, D, D2, R > &rhs)
template<class Matrix, unsigned int n, unsigned int idim>
bool Dfactir (Matrix &rhs, typename Matrix::value_type &det, unsigned int *ir)
 Dfactir.
template<class Matrix, unsigned int n, unsigned int idim>
bool Dfinv (Matrix &rhs, unsigned int *ir)
 Dfinv.
template<class A, class T, unsigned int D>
std::ostream & operator<< (std::ostream &os, const VecExpr< A, T, D > &rhs)
template<class A, class T, unsigned int D1, unsigned int D2, class R1>
std::ostream & operator<< (std::ostream &os, const Expr< A, T, D1, D2, R1 > &rhs)
template<class T>
const T Square (const T &x)
 square Template function to compute $x\cdot x $, for any type T returning a type T
template<class T>
const T Maximum (const T &lhs, const T &rhs)
 maximum.
template<class T>
const T Minimum (const T &lhs, const T &rhs)
 minimum.
template<class T>
int Round (const T &x)
 round.
template<class T>
int Sign (const T &x)
 sign.
template<class T, unsigned int D>
T Dot (const SVector< T, D > &lhs, const SVector< T, D > &rhs)
 Vector dot product.
template<class A, class T, unsigned int D>
T Dot (const SVector< T, D > &lhs, const VecExpr< A, T, D > &rhs)
template<class A, class T, unsigned int D>
T Dot (const VecExpr< A, T, D > &lhs, const SVector< T, D > &rhs)
template<class A, class B, class T, unsigned int D>
T Dot (const VecExpr< A, T, D > &lhs, const VecExpr< B, T, D > &rhs)
template<class T, unsigned int D>
T Mag2 (const SVector< T, D > &rhs)
 Vector magnitude square Template to compute $|\vec{v}|^2 = \sum_iv_i^2 $.
template<class A, class T, unsigned int D>
T Mag2 (const VecExpr< A, T, D > &rhs)
template<class T, unsigned int D>
T Mag (const SVector< T, D > &rhs)
 Vector magnitude (Euclidian norm) Compute : $ |\vec{v}| = \sqrt{\sum_iv_i^2} $.
template<class A, class T, unsigned int D>
T Mag (const VecExpr< A, T, D > &rhs)
template<class T>
T Lmag2 (const SVector< T, 4 > &rhs)
 Lmag2: Square of Minkowski Lorentz-Vector norm (only for 4D Vectors) Template to compute $ |\vec{v}|^2 = v_0^2 - v_1^2 - v_2^2 -v_3^2 $.
template<class A, class T>
T Lmag2 (const VecExpr< A, T, 4 > &rhs)
template<class T>
T Lmag (const SVector< T, 4 > &rhs)
 Lmag: Minkowski Lorentz-Vector norm (only for 4-dim vectors) Length of a vector Lorentz-Vector: $ |\vec{v}| = \sqrt{v_0^2 - v_1^2 - v_2^2 -v_3^2} $.
template<class A, class T>
T Lmag (const VecExpr< A, T, 4 > &rhs)
template<class T>
SVector< T, 3 > Cross (const SVector< T, 3 > &lhs, const SVector< T, 3 > &rhs)
 Vector Cross Product (only for 3-dim vectors) $ \vec{c} = \vec{a}\times\vec{b} $.
template<class A, class T>
SVector< T, 3 > Cross (const VecExpr< A, T, 3 > &lhs, const SVector< T, 3 > &rhs)
template<class T, class A>
SVector< T, 3 > Cross (const SVector< T, 3 > &lhs, const VecExpr< A, T, 3 > &rhs)
template<class A, class B, class T>
SVector< T, 3 > Cross (const VecExpr< A, T, 3 > &lhs, const VecExpr< B, T, 3 > &rhs)
template<class T, unsigned int D>
SVector< T, D > Unit (const SVector< T, D > &rhs)
 Unit.
template<class A, class T, unsigned int D>
SVector< T, D > Unit (const VecExpr< A, T, D > &rhs)
template<class T, unsigned int D1, unsigned int D2, class R>
VecExpr
< VectorMatrixRowOp
< SMatrix< T, D1, D2,
R >, SVector< T, D2 >,
D2 >, T, D1 > 		operator * (const SMatrix< T, D1, D2, R > &lhs, const SVector< T, D2 > &rhs)
 Matrix * Vector multiplication $ a(i) = \sum_{j} M(i,j) * b(j) $ returning a vector expression.
template<class A, class T, unsigned int D1, unsigned int D2, class R>
VecExpr
< VectorMatrixRowOp
< SMatrix< T, D1, D2,
R >, VecExpr< A, T,
D2 >, D2 >, T, D1 > 		operator * (const SMatrix< T, D1, D2, R > &lhs, const VecExpr< A, T, D2 > &rhs)
template<class A, class T, unsigned int D1, unsigned int D2, class R>
VecExpr
< VectorMatrixRowOp
< Expr< A, T, D1, D2,
R >, SVector< T, D2 >,
D2 >, T, D1 > 		operator * (const Expr< A, T, D1, D2, R > &lhs, const SVector< T, D2 > &rhs)
template<class A, class B, class T, unsigned int D1, unsigned int D2, class R>
VecExpr
< VectorMatrixRowOp
< Expr< A, T, D1, D2,
R >, VecExpr< B, T,
D2 >, D2 >, T, D1 > 		operator * (const Expr< A, T, D1, D2, R > &lhs, const VecExpr< B, T, D2 > &rhs)
template<class T, unsigned int D1, unsigned int D2, class R>
VecExpr
< VectorMatrixColOp
< SVector< T, D1 >,
SMatrix< T, D1, D2,
R >, D1 >, T, D2 > 		operator * (const SVector< T, D1 > &lhs, const SMatrix< T, D1, D2, R > &rhs)
template<class A, class T, unsigned int D1, unsigned int D2, class R>
VecExpr
< VectorMatrixColOp
< SVector< T, D1 >,
Expr< A, T, D1, D2,
R >, D1 >, T, D2 > 		operator * (const SVector< T, D1 > &lhs, const Expr< A, T, D1, D2, R > &rhs)
template<class A, class T, unsigned int D1, unsigned int D2, class R>
VecExpr
< VectorMatrixColOp
< VecExpr< A, T, D1 >,
SMatrix< T, D1, D2,
R >, D1 >, T, D2 > 		operator * (const VecExpr< A, T, D1 > &lhs, const SMatrix< T, D1, D2, R > &rhs)
template<class A, class B, class T, unsigned int D1, unsigned int D2, class R>
VecExpr
< VectorMatrixColOp
< VecExpr< A, T, D1 >,
Expr< B, T, D1, D2,
R >, D1 >, T, D2 > 		operator * (const VecExpr< A, T, D1 > &lhs, const Expr< B, T, D1, D2, R > &rhs)
template<class T, unsigned int D1, unsigned int D, unsigned int D2, class R1, class R2>
Expr< MatrixMulOp
< SMatrix< T, D1, D,
R1 >, SMatrix< T, D,
D2, R2 >, T, D >, T,
D1, D2, typename
MultPolicy< T, R1,
R2 >::RepType > 		operator * (const SMatrix< T, D1, D, R1 > &lhs, const SMatrix< T, D, D2, R2 > &rhs)
 Matrix * Matrix multiplication , $ C(i,j) = \sum_{k} A(i,k) * B(k,j)$ returning a matrix expression.
template<class A, class T, unsigned int D1, unsigned int D, unsigned int D2, class R1, class R2>
Expr< MatrixMulOp
< SMatrix< T, D1, D,
R1 >, Expr< A, T, D,
D2, R2 >, T, D >, T,
D1, D2, typename
MultPolicy< T, R1,
R2 >::RepType > 		operator * (const SMatrix< T, D1, D, R1 > &lhs, const Expr< A, T, D, D2, R2 > &rhs)
template<class A, class T, unsigned int D1, unsigned int D, unsigned int D2, class R1, class R2>
Expr< MatrixMulOp
< Expr< A, T, D1, D,
R1 >, SMatrix< T, D,
D2, R2 >, T, D >, T,
D1, D2, typename
MultPolicy< T, R1,
R2 >::RepType > 		operator * (const Expr< A, T, D1, D, R1 > &lhs, const SMatrix< T, D, D2, R2 > &rhs)
template<class A, class B, class T, unsigned int D1, unsigned int D, unsigned int D2, class R1, class R2>
Expr< MatrixMulOp
< Expr< A, T, D1, D,
R1 >, Expr< B, T, D,
D2, R2 >, T, D >, T,
D1, D2, typename
MultPolicy< T, R1,
R2 >::RepType > 		operator * (const Expr< A, T, D1, D, R1 > &lhs, const Expr< B, T, D, D2, R2 > &rhs)
template<class T, unsigned int D1, unsigned int D2, class R>
Expr< TransposeOp
< SMatrix< T, D1, D2,
R >, T, D1, D2 >, T,
D2, D1, typename
TranspPolicy< T, D1,
D2, R >::RepType > 		Transpose (const SMatrix< T, D1, D2, R > &rhs)
 Matrix Transpose B(i,j) = A(j,i) returning a matrix expression.
template<class A, class T, unsigned int D1, unsigned int D2, class R>
Expr< TransposeOp
< Expr< A, T, D1, D2,
R >, T, D1, D2 >, T,
D2, D1, typename
TranspPolicy< T, D1,
D2, R >::RepType > 		Transpose (const Expr< A, T, D1, D2, R > &rhs)
template<class T, unsigned int D, class R>
T Similarity (const SMatrix< T, D, D, R > &lhs, const SVector< T, D > &rhs)
 Similarity Vector - Matrix Product: v^T * A * v returning a scalar value of type T $ s = \sum_{i,j} v(i) * A(i,j) * v(j)$.
template<class T, unsigned int D, class R>
T Similarity (const SVector< T, D > &lhs, const SMatrix< T, D, D, R > &rhs)
template<class A, class T, unsigned int D, class R>
T Similarity (const SMatrix< T, D, D, R > &lhs, const VecExpr< A, T, D > &rhs)
template<class A, class T, unsigned int D, class R>
T Similarity (const VecExpr< A, T, D > &lhs, const SMatrix< T, D, D, R > &rhs)
template<class A, class T, unsigned int D, class R>
T Similarity (const SVector< T, D > &lhs, const Expr< A, T, D, D, R > &rhs)
template<class A, class T, unsigned int D, class R>
T Similarity (const Expr< A, T, D, D, R > &lhs, const SVector< T, D > &rhs)
template<class A, class B, class T, unsigned int D, class R>
T Similarity (const Expr< A, T, D, D, R > &lhs, const VecExpr< B, T, D > &rhs)
template<class A, class B, class T, unsigned int D, class R>
T Similarity (const VecExpr< A, T, D > &lhs, const Expr< B, T, D, D, R > &rhs)
template<class T, unsigned int D1, unsigned int D2, class R>
SMatrix< T, D1, D1,
MatRepSym< T, D1 > > 		Similarity (const SMatrix< T, D1, D2, R > &lhs, const SMatrix< T, D2, D2, MatRepSym< T, D2 > > &rhs)
 Similarity Matrix Product : B = U * A * U^T for A symmetric returning a symmetric matrix expression: $ B(i,j) = \sum_{k,l} U(i,k) * A(k,l) * U(j,l) $.
template<class A, class T, unsigned int D1, unsigned int D2, class R>
SMatrix< T, D1, D1,
MatRepSym< T, D1 > > 		Similarity (const Expr< A, T, D1, D2, R > &lhs, const SMatrix< T, D2, D2, MatRepSym< T, D2 > > &rhs)
template<class T, unsigned int D1, unsigned int D2, class R>
SMatrix< T, D2, D2,
MatRepSym< T, D2 > > 		SimilarityT (const SMatrix< T, D1, D2, R > &lhs, const SMatrix< T, D1, D1, MatRepSym< T, D1 > > &rhs)
 Transpose Similarity Matrix Product : B = U^T * A * U for A symmetric returning a symmetric matrix expression: $ B(i,j) = \sum_{k,l} U(k,i) * A(k,l) * U(l,j) $.
template<class A, class T, unsigned int D1, unsigned int D2, class R>
SMatrix< T, D2, D2,
MatRepSym< T, D2 > > 		SimilarityT (const Expr< A, T, D1, D2, R > &lhs, const SMatrix< T, D1, D1, MatRepSym< T, D1 > > &rhs)
template<class T, unsigned int D1, unsigned int D2>
Expr< TensorMulOp
< SVector< T, D1 >,
SVector< T, D2 > >,
T, D1, D2 > 		TensorProd (const SVector< T, D1 > &lhs, const SVector< T, D2 > &rhs)
 Tensor Vector Product : M(i,j) = v(i) * v(j) returning a matrix expression.
template<class T, unsigned int D1, unsigned int D2, class A>
Expr< TensorMulOp
< VecExpr< A, T, D1 >,
SVector< T, D2 > >,
T, D1, D2 > 		TensorProd (const VecExpr< A, T, D1 > &lhs, const SVector< T, D2 > &rhs)
template<class T, unsigned int D1, unsigned int D2, class A>
Expr< TensorMulOp
< SVector< T, D1 >,
VecExpr< A, T, D2 > >,
T, D1, D2 > 		TensorProd (const SVector< T, D1 > &lhs, const VecExpr< A, T, D2 > &rhs)
template<class T, unsigned int D1, unsigned int D2, class A, class B>
Expr< TensorMulOp
< VecExpr< A, T, D1 >,
VecExpr< B, T, D2 > >,
T, D1, D2 > 		TensorProd (const VecExpr< A, T, D1 > &lhs, const VecExpr< B, T, D2 > &rhs)
template<class T, unsigned int D1, unsigned int D2, class R>
std::ostream & operator<< (std::ostream &os, const ROOT::Math::SMatrix< T, D1, D2, R > &rhs)
template<class T, unsigned int D>
std::ostream & operator<< (std::ostream &os, const ROOT::Math::SVector< T, D > &rhs)
template<class A, class T, unsigned int D>
VecExpr< UnaryOp
< Minus< T >,
VecExpr< A, T, D >,
T >, T, D > 		operator- (const VecExpr< A, T, D > &rhs)
template<class T, unsigned int D>
VecExpr< UnaryOp
< Minus< T >,
SVector< T, D >, T >,
T, D > 		operator- (const SVector< T, D > &rhs)
 Unary - operator v2 = -v1 .
template<class A, class T, unsigned int D, unsigned int D2, class R>
Expr< UnaryOp< Minus
< T >, Expr< A, T, D,
D2, R >, T >, T, D,
D2, R > 		operator- (const Expr< A, T, D, D2, R > &rhs)
template<class T, unsigned int D, unsigned int D2, class R>
Expr< UnaryOp< Minus
< T >, SMatrix< T, D,
D2, R >, T >, T, D,
D2, R > 		operator- (const SMatrix< T, D, D2, R > &rhs)
 Unary - operator B = - A returning a matrix expression.
template<class A, class T, unsigned int D>
VecExpr< UnaryOp
< Fabs< T >, VecExpr
< A, T, D >, T >, T,
D > 		fabs (const VecExpr< A, T, D > &rhs)
template<class T, unsigned int D>
VecExpr< UnaryOp
< Fabs< T >, SVector
< T, D >, T >, T, D > 		fabs (const SVector< T, D > &rhs)
 abs of a vector : v2(i) = | v1(i) | returning a vector expression
template<class A, class T, unsigned int D, unsigned int D2, class R>
Expr< UnaryOp< Fabs
< T >, Expr< A, T, D,
D2, R >, T >, T, D,
D2, R > 		fabs (const Expr< A, T, D, D2, R > &rhs)
template<class T, unsigned int D, unsigned int D2, class R>
Expr< UnaryOp< Fabs
< T >, SMatrix< T, D,
D2, R >, T >, T, D,
D2, R > 		fabs (const SMatrix< T, D, D2, R > &rhs)
 abs of a matrix m2(i,j) = | m1(i,j) | returning a matrix epression
template<class A, class T, unsigned int D>
VecExpr< UnaryOp
< Sqr< T >, VecExpr
< A, T, D >, T >, T,
D > 		sqr (const VecExpr< A, T, D > &rhs)
template<class T, unsigned int D>
VecExpr< UnaryOp
< Sqr< T >, SVector
< T, D >, T >, T, D > 		sqr (const SVector< T, D > &rhs)
 square of a vector v2(i) = v1(i)*v1(i) .
template<class A, class T, unsigned int D, unsigned int D2, class R>
Expr< UnaryOp< Sqr
< T >, Expr< A, T, D,
D2, R >, T >, T, D,
D2, R > 		sqr (const Expr< A, T, D, D2, R > &rhs)
template<class T, unsigned int D, unsigned int D2, class R>
Expr< UnaryOp< Sqr
< T >, SMatrix< T, D,
D2, R >, T >, T, D,
D2, R > 		sqr (const SMatrix< T, D, D2, R > &rhs)
 square of a matrix B(i,j) = A(i,j)*A(i,j) returning a matrix expression
template<class A, class T, unsigned int D>
VecExpr< UnaryOp
< Sqrt< T >, VecExpr
< A, T, D >, T >, T,
D > 		sqrt (const VecExpr< A, T, D > &rhs)
template<class T, unsigned int D>
VecExpr< UnaryOp
< Sqrt< T >, SVector
< T, D >, T >, T, D > 		sqrt (const SVector< T, D > &rhs)
 square root of a vector (element by element) v2(i) = sqrt( v1(i) ) returning a vector expression
template<class A, class T, unsigned int D, unsigned int D2, class R>
Expr< UnaryOp< Sqrt
< T >, Expr< A, T, D,
D2, R >, T >, T, D,
D2, R > 		sqrt (const Expr< A, T, D, D2, R > &rhs)
template<class T, unsigned int D, unsigned int D2, class R>
Expr< UnaryOp< Sqrt
< T >, SMatrix< T, D,
D2, R >, T >, T, D,
D2, R > 		sqrt (const SMatrix< T, D, D2, R > &rhs)
 square root of a matrix (element by element) m2(i,j) = sqrt ( m1(i,j) ) returning a matrix expression
Probability Density Functions from MathCore
Additional PDF's are provided in the MathMore library (see PDF functions from MathMore)

double beta_pdf (double x, double a, double b)
 Probability density function of the beta distribution.
double binomial_pdf (unsigned int k, double p, unsigned int n)
 Probability density function of the binomial distribution.
double breitwigner_pdf (double x, double gamma, double x0=0)
 Probability density function of Breit-Wigner distribution, which is similar, just a different definition of the parameters, to the Cauchy distribution (see cauchy_pdf ).
double cauchy_pdf (double x, double b=1, double x0=0)
 Probability density function of the Cauchy distribution which is also called Lorentzian distribution.
double chisquared_pdf (double x, double r, double x0=0)
 Probability density function of the $\chi^2$ distribution with $r$ degrees of freedom.
double exponential_pdf (double x, double lambda, double x0=0)
 Probability density function of the exponential distribution.
double fdistribution_pdf (double x, double n, double m, double x0=0)
 Probability density function of the F-distribution.
double gamma_pdf (double x, double alpha, double theta, double x0=0)
 Probability density function of the gamma distribution.
double gaussian_pdf (double x, double sigma=1, double x0=0)
 Probability density function of the normal (Gaussian) distribution.
double landau_pdf (double x, double sigma=1, double x0=0.)
 Probability density function of the Landau distribution.
double lognormal_pdf (double x, double m, double s, double x0=0)
 Probability density function of the lognormal distribution.
double normal_pdf (double x, double sigma=1, double x0=0)
 Probability density function of the normal (Gaussian) distribution.
double poisson_pdf (unsigned int n, double mu)
 Probability density function of the Poisson distribution.
double tdistribution_pdf (double x, double r, double x0=0)
 Probability density function of Student's t-distribution.
double uniform_pdf (double x, double a, double b, double x0=0)
 Probability density function of the uniform (flat) distribution.
Quantile Functions from MathMore
The implementation used is that of GSL.

double beta_quantile (double x, double a, double b)
 Inverse ($D^{-1}(z)$) of the cumulative distribution function of the upper tail of the beta distribution (beta_cdf_c).
double beta_quantile_c (double x, double a, double b)
 Inverse ($D^{-1}(z)$) of the cumulative distribution function of the lower tail of the beta distribution (beta_cdf).
double cauchy_quantile_c (double z, double b)
 Inverse ($D^{-1}(z)$) of the cumulative distribution function of the upper tail of the Cauchy distribution (cauchy_cdf_c) which is also called Lorentzian distribution.
double cauchy_quantile (double z, double b)
 Inverse ($D^{-1}(z)$) of the cumulative distribution function of the lower tail of the Cauchy distribution (cauchy_cdf) which is also called Breit-Wigner or Lorentzian distribution.
double breitwigner_quantile_c (double z, double gamma)
 Inverse ($D^{-1}(z)$) of the cumulative distribution function of the upper tail of the Breit-Wigner distribution (breitwigner_cdf_c) which is similar to the Cauchy distribution.
double breitwigner_quantile (double z, double gamma)
 Inverse ($D^{-1}(z)$) of the cumulative distribution function of the lower tail of the Breit_Wigner distribution (breitwigner_cdf) which is similar to the Cauchy distribution.
double chisquared_quantile_c (double z, double r)
 Inverse ($D^{-1}(z)$) of the cumulative distribution function of the upper tail of the $\chi^2$ distribution with $r$ degrees of freedom (chisquared_cdf_c).
double chisquared_quantile (double z, double r)
 Inverse ($D^{-1}(z)$) of the cumulative distribution function of the lower tail of the $\chi^2$ distribution with $r$ degrees of freedom (chisquared_cdf).
double exponential_quantile_c (double z, double lambda)
 Inverse ($D^{-1}(z)$) of the cumulative distribution function of the upper tail of the exponential distribution (exponential_cdf_c).
double exponential_quantile (double z, double lambda)
 Inverse ($D^{-1}(z)$) of the cumulative distribution function of the lower tail of the exponential distribution (exponential_cdf).
double fdistribution_quantile (double z, double n, double m)
 Inverse ($D^{-1}(z)$) of the cumulative distribution function of the lower tail of the f distribution (fdistribution_cdf).
double fdistribution_quantile_c (double z, double n, double m)
 Inverse ($D^{-1}(z)$) of the cumulative distribution function of the upper tail of the f distribution (fdistribution_cdf_c).
double gamma_quantile_c (double z, double alpha, double theta)
 Inverse ($D^{-1}(z)$) of the cumulative distribution function of the upper tail of the gamma distribution (gamma_cdf_c).
double gamma_quantile (double z, double alpha, double theta)
 Inverse ($D^{-1}(z)$) of the cumulative distribution function of the lower tail of the gamma distribution (gamma_cdf).
double gaussian_quantile_c (double z, double sigma)
 Inverse ($D^{-1}(z)$) of the cumulative distribution function of the upper tail of the normal (Gaussian) distribution (gaussian_cdf_c).
double gaussian_quantile (double z, double sigma)
 Inverse ($D^{-1}(z)$) of the cumulative distribution function of the lower tail of the normal (Gaussian) distribution (gaussian_cdf).
double lognormal_quantile_c (double x, double m, double s)
 Inverse ($D^{-1}(z)$) of the cumulative distribution function of the upper tail of the lognormal distribution (lognormal_cdf_c).
double lognormal_quantile (double x, double m, double s)
 Inverse ($D^{-1}(z)$) of the cumulative distribution function of the lower tail of the lognormal distribution (lognormal_cdf).
double normal_quantile_c (double z, double sigma)
 Inverse ($D^{-1}(z)$) of the cumulative distribution function of the upper tail of the normal (Gaussian) distribution (normal_cdf_c).
double normal_quantile (double z, double sigma)
 Inverse ($D^{-1}(z)$) of the cumulative distribution function of the lower tail of the normal (Gaussian) distribution (normal_cdf).
double uniform_quantile_c (double z, double a, double b)
 Inverse ($D^{-1}(z)$) of the cumulative distribution function of the upper tail of the uniform (flat) distribution (uniform_cdf_c).
double uniform_quantile (double z, double a, double b)
 Inverse ($D^{-1}(z)$) of the cumulative distribution function of the lower tail of the uniform (flat) distribution (uniform_cdf).
Special Functions from MathCore
double erf (double x)
 Error function encountered in integrating the normal distribution.
double erfc (double x)
 Complementary error function.
double tgamma (double x)
 The gamma function is defined to be the extension of the factorial to real numbers.
double lgamma (double x)
 Calculates the logarithm of the gamma function.
double inc_gamma (double a, double x)
 Calculates the normalized (regularized) lower incomplete gamma function (lower integral).
double inc_gamma_c (double a, double x)
 Calculates the normalized (regularized) upper incomplete gamma function (upper integral).
double beta (double x, double y)
 Calculates the beta function.
double inc_beta (double x, double a, double b)
 Calculates the normalized (regularized) incomplete beta function.
Quantile Functions from MathMore
The implementation used is that of GSL.

double tdistribution_quantile_c (double z, double r)
 Inverse ($D^{-1}(z)$) of the cumulative distribution function of the upper tail of Student's t-distribution (tdistribution_cdf_c).
double tdistribution_quantile (double z, double r)
 Inverse ($D^{-1}(z)$) of the cumulative distribution function of the lower tail of Student's t-distribution (tdistribution_cdf).
Special Functions from MathMore
double assoc_laguerre (unsigned n, double m, double x)
 Computes the generalized Laguerre polynomials for $ n \geq 0, m > -1 $.
double assoc_legendre (unsigned l, unsigned m, double x)
 Computes the associated Legendre polynomials.
double comp_ellint_1 (double k)
 Calculates the complete elliptic integral of the first kind.
double comp_ellint_2 (double k)
 Calculates the complete elliptic integral of the second kind.
double comp_ellint_3 (double n, double k)
 Calculates the complete elliptic integral of the third kind.
double conf_hyperg (double a, double b, double z)
 Calculates the confluent hypergeometric functions of the first kind.
double conf_hypergU (double a, double b, double z)
 Calculates the confluent hypergeometric functions of the second kind, known also as Kummer function of the second kind, it is related to the confluent hypergeometric functions of the first kind.
double cyl_bessel_i (double nu, double x)
 Calculates the modified Bessel function of the first kind (also called regular modified (cylindrical) Bessel function).
double cyl_bessel_j (double nu, double x)
 Calculates the (cylindrical) Bessel functions of the first kind (also called regular (cylindrical) Bessel functions).
double cyl_bessel_k (double nu, double x)
 Calculates the modified Bessel functions of the second kind (also called irregular modified (cylindrical) Bessel functions).
double cyl_neumann (double nu, double x)
 Calculates the (cylindrical) Bessel functions of the second kind (also called irregular (cylindrical) Bessel functions or (cylindrical) Neumann functions).
double ellint_1 (double k, double phi)
 Calculates the incomplete elliptic integral of the first kind.
double ellint_2 (double k, double phi)
 Calculates the complete elliptic integral of the second kind.
double ellint_3 (double n, double k, double phi)
 Calculates the complete elliptic integral of the third kind.
double expint (double x)
 Calculates the exponential integral.
double hyperg (double a, double b, double c, double x)
 Calculates Gauss' hypergeometric function.
double laguerre (unsigned n, double x)
 Calculates the Laguerre polynomials.
double legendre (unsigned l, double x)
 Calculates the Legendre polynomials.
double riemann_zeta (double x)
 Calculates the Riemann zeta function.
double sph_bessel (unsigned n, double x)
 Calculates the spherical Bessel functions of the first kind (also called regular spherical Bessel functions).
double sph_legendre (unsigned l, unsigned m, double theta)
 Computes the spherical (normalized) associated Legendre polynomials, or spherical harmonic without azimuthal dependence ($e^(im\phi)$).
double sph_neumann (unsigned n, double x)
 Calculates the spherical Bessel functions of the second kind (also called irregular spherical Bessel functions or spherical Neumann functions).

Variables

double kSqrt2 = 1.4142135623730950488016887242097
double kPi = 3.14159265358979323846
double kEulerGamma = 0.577215664901532860606512090082402431042

Typedef Documentation

typedef BasicFitMethodFunction<ROOT::Math::IMultiGenFunction> ROOT::Math::FitMethodFunction

Definition at line 81 of file FitMethodFunction.h.

typedef BasicFitMethodFunction<ROOT::Math::IMultiGradFunction> ROOT::Math::FitMethodGradFunction

Definition at line 82 of file FitMethodFunction.h.

typedef double( * ROOT::Math::FreeFunctionPtr)(double)

Definition at line 45 of file WrappedFunction.h.

typedef double( * ROOT::Math::FreeMultiFunctionPtr)(const double *)

Definition at line 133 of file WrappedParamFunction.h.

typedef double( * ROOT::Math::FreeMultiFunctionPtr)(const double *)

Definition at line 47 of file WrappedFunction.h.

typedef double( * ROOT::Math::FreeParamMultiFunctionPtr)(const double *, const double *)

Definition at line 31 of file WrappedParamFunction.h.

typedef void( * ROOT::Math::GSLFdfPointer)(double, void *, double *, double *)

Definition at line 46 of file GSLFunctionWrapper.h.

typedef double( * ROOT::Math::GSLFuncPointer)(double, void *)

Definition at line 45 of file GSLFunctionWrapper.h.

typedef double( * ROOT::Math::GSLFuncPointer)(double, void *)

Function pointer corresponding to gsl_function signature.

Definition at line 45 of file GSLFunctionAdapter.h.

typedef double( * ROOT::Math::GSLMonteFuncPointer)(double *, size_t, void *)

Definition at line 47 of file GSLMonteFunctionWrapper.h.

typedef void( * ROOT::Math::GSLMultiFitDfPointer)(const gsl_vector *, void *, gsl_matrix *)

Definition at line 47 of file GSLMultiFitFunctionWrapper.h.

typedef void( * ROOT::Math::GSLMultiFitFdfPointer)(const gsl_vector *, void *, gsl_vector *, gsl_matrix *)

Definition at line 48 of file GSLMultiFitFunctionWrapper.h.

typedef double( * ROOT::Math::GSLMultiFitFPointer)(const gsl_vector *, void *, gsl_vector *)

Definition at line 46 of file GSLMultiFitFunctionWrapper.h.

typedef void( * ROOT::Math::GSLMultiMinDfPointer)(const gsl_vector *, void *, gsl_vector *)

Definition at line 47 of file GSLMultiMinFunctionWrapper.h.

typedef void( * ROOT::Math::GSLMultiMinFdfPointer)(const gsl_vector *, void *, double *, gsl_vector *)

Definition at line 48 of file GSLMultiMinFunctionWrapper.h.

typedef double( * ROOT::Math::GSLMultiMinFuncPointer)(const gsl_vector *, void *)

Definition at line 46 of file GSLMultiMinFunctionWrapper.h.

typedef IBaseFunctionOneDim ROOT::Math::IGenFunction

Definition at line 43 of file IFunctionfwd.h.

typedef IGradientFunctionOneDim ROOT::Math::IGradFunction

Definition at line 49 of file IFunctionfwd.h.

typedef IBaseFunctionMultiDim ROOT::Math::IMultiGenFunction

Definition at line 47 of file IFunctionfwd.h.

typedef IGradientFunctionMultiDim ROOT::Math::IMultiGradFunction

Definition at line 50 of file IFunctionfwd.h.

typedef IntegratorOneDim ROOT::Math::Integrator

Definition at line 368 of file Integrator.h.

typedef IParametricFunctionOneDim ROOT::Math::IParamFunction

Definition at line 41 of file IParamFunctionfwd.h.

typedef IParametricGradFunctionOneDim ROOT::Math::IParamGradFunction

Definition at line 46 of file IParamFunctionfwd.h.

typedef IParametricFunctionMultiDim ROOT::Math::IParamMultiFunction

Definition at line 44 of file IParamFunctionfwd.h.

typedef IParametricGradFunctionMultiDim ROOT::Math::IParamMultiGradFunction

Definition at line 47 of file IParamFunctionfwd.h.

typedef PositionVector2D< Polar2D<double>, DefaultCoordinateSystemTag > ROOT::Math::Polar2DPoint

2D Point based on the polar coordinates rho, theta, phi in double precision.

Definition at line 47 of file Point2Dfwd.h.

typedef Polar2DPoint ROOT::Math::Polar2DPointD

Definition at line 48 of file Point2Dfwd.h.

typedef PositionVector2D< Polar2D<float>, DefaultCoordinateSystemTag > ROOT::Math::Polar2DPointF

2D Point based on the polar coordinates rho, theta, phi in single precision.

Definition at line 53 of file Point2Dfwd.h.

typedef DisplacementVector2D< Polar2D<double>, DefaultCoordinateSystemTag > ROOT::Math::Polar2DVector

2D Vector based on the polar coordinates rho, phi in double precision.

Definition at line 49 of file Vector2Dfwd.h.

typedef Polar2DVector ROOT::Math::Polar2DVectorD

Definition at line 50 of file Vector2Dfwd.h.

typedef DisplacementVector2D< Polar2D<float>, DefaultCoordinateSystemTag > ROOT::Math::Polar2DVectorF

2D Vector based on the polar coordinates rho, phi in single precision.

Definition at line 55 of file Vector2Dfwd.h.

typedef PositionVector3D< Polar3D<double>, DefaultCoordinateSystemTag > ROOT::Math::Polar3DPoint

3D Point based on the polar coordinates rho, theta, phi in double precision.

Definition at line 59 of file Point3Dfwd.h.

typedef Polar3DPoint ROOT::Math::Polar3DPointD

Definition at line 64 of file Point3Dfwd.h.

typedef PositionVector3D< Polar3D<float>, DefaultCoordinateSystemTag > ROOT::Math::Polar3DPointF

3D Point based on the polar coordinates rho, theta, phi in single precision.

Definition at line 63 of file Point3Dfwd.h.

typedef DisplacementVector3D< Polar3D<double>, DefaultCoordinateSystemTag > ROOT::Math::Polar3DVector

3D Vector based on the polar coordinates rho, theta, phi in double precision.

Definition at line 60 of file Vector3Dfwd.h.

typedef Polar3DVector ROOT::Math::Polar3DVectorD

Definition at line 65 of file Vector3Dfwd.h.

typedef DisplacementVector3D< Polar3D<float>, DefaultCoordinateSystemTag > ROOT::Math::Polar3DVectorF

3D Vector based on the polar coordinates rho, theta, phi in single precision.

Definition at line 64 of file Vector3Dfwd.h.

typedef LorentzVector<PtEtaPhiE4D<double> > ROOT::Math::PtEtaPhiEVector

LorentzVector based on the cylindrical coordinates Pt, eta, phi and E (rho, eta, phi, t) in double precision.

Definition at line 61 of file Vector4Dfwd.h.

typedef LorentzVector<PtEtaPhiM4D<double> > ROOT::Math::PtEtaPhiMVector

LorentzVector based on the cylindrical coordinates pt, eta, phi and Mass in double precision.

Definition at line 66 of file Vector4Dfwd.h.

typedef LorentzVector<PxPyPzE4D<double> > ROOT::Math::PxPyPzEVector

Definition at line 44 of file Vector4Dfwd.h.

typedef LorentzVector<PxPyPzM4D<double> > ROOT::Math::PxPyPzMVector

LorentzVector based on the x, y, z, and Mass in double precision.

Definition at line 56 of file Vector4Dfwd.h.

typedef PositionVector3D< CylindricalEta3D<double>, DefaultCoordinateSystemTag > ROOT::Math::RhoEtaPhiPoint

3D Point based on the eta based cylindrical coordinates rho, eta, phi in double precision.

Definition at line 49 of file Point3Dfwd.h.

typedef RhoEtaPhiPoint ROOT::Math::RhoEtaPhiPointD

Definition at line 54 of file Point3Dfwd.h.

typedef PositionVector3D< CylindricalEta3D<float>, DefaultCoordinateSystemTag > ROOT::Math::RhoEtaPhiPointF

3D Point based on the eta based cylindrical coordinates rho, eta, phi in single precision.

Definition at line 53 of file Point3Dfwd.h.

typedef DisplacementVector3D< CylindricalEta3D<double>, DefaultCoordinateSystemTag > ROOT::Math::RhoEtaPhiVector

3D Vector based on the eta based cylindrical coordinates rho, eta, phi in double precision.

Definition at line 50 of file Vector3Dfwd.h.

typedef RhoEtaPhiVector ROOT::Math::RhoEtaPhiVectorD

Definition at line 55 of file Vector3Dfwd.h.

typedef DisplacementVector3D< CylindricalEta3D<float>, DefaultCoordinateSystemTag > ROOT::Math::RhoEtaPhiVectorF

3D Vector based on the eta based cylindrical coordinates rho, eta, phi in single precision.

Definition at line 54 of file Vector3Dfwd.h.

typedef PositionVector3D< Cylindrical3D<double>, DefaultCoordinateSystemTag > ROOT::Math::RhoZPhiPoint

3D Point based on the cylindrical coordinates rho, z, phi in double precision.

Definition at line 69 of file Point3Dfwd.h.

typedef RhoZPhiPoint ROOT::Math::RhoZPhiPointD

Definition at line 74 of file Point3Dfwd.h.

typedef PositionVector3D< Cylindrical3D<float>, DefaultCoordinateSystemTag > ROOT::Math::RhoZPhiPointF

3D Point based on the cylindrical coordinates rho, z, phi in single precision.

Definition at line 73 of file Point3Dfwd.h.

typedef DisplacementVector3D< Cylindrical3D<double>, DefaultCoordinateSystemTag > ROOT::Math::RhoZPhiVector

3D Vector based on the cylindrical coordinates rho, z, phi in double precision.

Definition at line 70 of file Vector3Dfwd.h.

typedef RhoZPhiVector ROOT::Math::RhoZPhiVectorD

Definition at line 75 of file Vector3Dfwd.h.

typedef DisplacementVector3D< Cylindrical3D<float>, DefaultCoordinateSystemTag > ROOT::Math::RhoZPhiVectorF

3D Vector based on the cylindrical coordinates rho, z, phi in single precision.

Definition at line 74 of file Vector3Dfwd.h.

typedef Rotation3D::Scalar ROOT::Math::Scalar

Definition at line 69 of file Rotation3DxAxial.cxx.

typedef Plane3D::Scalar ROOT::Math::Scalar

Definition at line 29 of file Plane3D.cxx.

typedef SMatrix<double,2,2,MatRepStd<double,2,2> > ROOT::Math::SMatrix2D

Definition at line 14 of file SMatrixDfwd.h.

typedef SMatrix<float,2,2,MatRepStd<float,2,2> > ROOT::Math::SMatrix2F

Definition at line 14 of file SMatrixFfwd.h.

typedef SMatrix<double,3,3,MatRepStd<double,3,3> > ROOT::Math::SMatrix3D

Definition at line 17 of file SMatrixDfwd.h.

typedef SMatrix<float,3,3,MatRepStd<float,3,3> > ROOT::Math::SMatrix3F

Definition at line 17 of file SMatrixFfwd.h.

typedef SMatrix<double,4,4,MatRepStd<double,4,4> > ROOT::Math::SMatrix4D

Definition at line 18 of file SMatrixDfwd.h.

typedef SMatrix<float,4,4,MatRepStd<float,4,4> > ROOT::Math::SMatrix4F

Definition at line 18 of file SMatrixFfwd.h.

typedef SMatrix<double,5,5,MatRepStd<double,5,5> > ROOT::Math::SMatrix5D

Definition at line 19 of file SMatrixDfwd.h.

typedef SMatrix<float,5,5,MatRepStd<float,5,5> > ROOT::Math::SMatrix5F

Definition at line 19 of file SMatrixFfwd.h.

typedef SMatrix<double,6,6,MatRepStd<double,6,6> > ROOT::Math::SMatrix6D

Definition at line 20 of file SMatrixDfwd.h.

typedef SMatrix<float,6,6,MatRepStd<float,6,6> > ROOT::Math::SMatrix6F

Definition at line 20 of file SMatrixFfwd.h.

typedef SMatrix<double,7,7,MatRepStd<double,7,7> > ROOT::Math::SMatrix7D

Definition at line 21 of file SMatrixDfwd.h.

typedef SMatrix<float,7,7,MatRepStd<float,7,7> > ROOT::Math::SMatrix7F

Definition at line 21 of file SMatrixFfwd.h.

typedef SMatrix<double,2,2,MatRepSym<double,2> > ROOT::Math::SMatrixSym2D

Definition at line 24 of file SMatrixDfwd.h.

typedef SMatrix<float,2,2,MatRepSym<float,2> > ROOT::Math::SMatrixSym2F

Definition at line 23 of file SMatrixFfwd.h.

typedef SMatrix<double,3,3,MatRepSym<double,3> > ROOT::Math::SMatrixSym3D

Definition at line 25 of file SMatrixDfwd.h.

typedef SMatrix<float,3,3,MatRepSym<float,3> > ROOT::Math::SMatrixSym3F

Definition at line 24 of file SMatrixFfwd.h.

typedef SMatrix<double,4,4,MatRepSym<double,4> > ROOT::Math::SMatrixSym4D

Definition at line 26 of file SMatrixDfwd.h.

typedef SMatrix<float,4,4,MatRepSym<float,4> > ROOT::Math::SMatrixSym4F

Definition at line 25 of file SMatrixFfwd.h.

typedef SMatrix<double,5,5,MatRepSym<double,5> > ROOT::Math::SMatrixSym5D

Definition at line 27 of file SMatrixDfwd.h.

typedef SMatrix<float,5,5,MatRepSym<float,5> > ROOT::Math::SMatrixSym5F

Definition at line 26 of file SMatrixFfwd.h.

typedef SMatrix<double,6,6,MatRepSym<double,6> > ROOT::Math::SMatrixSym6D

Definition at line 28 of file SMatrixDfwd.h.

typedef SMatrix<float,6,6,MatRepSym<float,6> > ROOT::Math::SMatrixSym6F

Definition at line 27 of file SMatrixFfwd.h.

typedef SMatrix<double,7,7,MatRepSym<double,7> > ROOT::Math::SMatrixSym7D

Definition at line 29 of file SMatrixDfwd.h.

typedef SMatrix<float,7,7,MatRepSym<float,7> > ROOT::Math::SMatrixSym7F

Definition at line 28 of file SMatrixFfwd.h.

typedef PositionVector2D< Cartesian2D<double>, DefaultCoordinateSystemTag > ROOT::Math::XYPoint

2D Point based on the cartesian coordinates x,y,z in double precision

Definition at line 30 of file Point2Dfwd.h.

typedef XYPoint ROOT::Math::XYPointD

Definition at line 36 of file Point2Dfwd.h.

typedef PositionVector2D< Cartesian2D<float>, DefaultCoordinateSystemTag > ROOT::Math::XYPointF

2D Point based on the cartesian corrdinates x,y,z in single precision

Definition at line 41 of file Point2Dfwd.h.

typedef DisplacementVector2D< Cartesian2D<double>, DefaultCoordinateSystemTag > ROOT::Math::XYVector

2D Vector based on the cartesian coordinates x,y in double precision

Definition at line 31 of file Vector2Dfwd.h.

typedef XYVector ROOT::Math::XYVectorD

Definition at line 38 of file Vector2Dfwd.h.

typedef DisplacementVector2D< Cartesian2D<float>, DefaultCoordinateSystemTag > ROOT::Math::XYVectorF

2D Vector based on the cartesian coordinates x,y,z in single precision

Definition at line 43 of file Vector2Dfwd.h.

typedef PositionVector3D<Cartesian3D<double> > ROOT::Math::XYZPoint

Definition at line 33 of file Translation3D.cxx.

typedef Transform3D::Point ROOT::Math::XYZPoint

Definition at line 32 of file Transform3D.cxx.

typedef Plane3D::Point ROOT::Math::XYZPoint

Definition at line 30 of file Plane3D.cxx.

typedef PositionVector3D< Cartesian3D<double>, DefaultCoordinateSystemTag > ROOT::Math::XYZPoint

3D Point based on the cartesian coordinates x,y,z in double precision

Definition at line 33 of file Point3Dfwd.h.

typedef XYZPoint ROOT::Math::XYZPointD

Definition at line 44 of file Point3Dfwd.h.

typedef PositionVector3D< Cartesian3D<float>, DefaultCoordinateSystemTag > ROOT::Math::XYZPointF

3D Point based on the cartesian corrdinates x,y,z in single precision

Definition at line 43 of file Point3Dfwd.h.

typedef LorentzVector<PxPyPzE4D<double> > ROOT::Math::XYZTVector

LorentzVector based on x,y,x,t (or px,py,pz,E) coordinates in double precision with metric (-,-,-,+).

Definition at line 33 of file Vector4Dfwd.h.

typedef LorentzVector< PxPyPzE4D <float> > ROOT::Math::XYZTVectorF

LorentzVector based on x,y,x,t (or px,py,pz,E) coordinates in float precision with metric (-,-,-,+).

Definition at line 50 of file Vector4Dfwd.h.

typedef Translation3D::Vector ROOT::Math::XYZVector

Definition at line 32 of file Translation3D.cxx.

typedef Transform3D::Vector ROOT::Math::XYZVector

Definition at line 33 of file Transform3D.cxx.

typedef Plane3D::Vector ROOT::Math::XYZVector

Definition at line 31 of file Plane3D.cxx.

typedef DisplacementVector3D< Cartesian3D<double>, DefaultCoordinateSystemTag > ROOT::Math::XYZVector

3D Vector based on the cartesian coordinates x,y,z in double precision

Definition at line 34 of file Vector3Dfwd.h.

typedef XYZVector ROOT::Math::XYZVectorD

Definition at line 45 of file Vector3Dfwd.h.

typedef DisplacementVector3D< Cartesian3D<float>, DefaultCoordinateSystemTag > ROOT::Math::XYZVectorF

3D Vector based on the cartesian corrdinates x,y,z in single precision

Definition at line 44 of file Vector3Dfwd.h.

Enumeration Type Documentation

enum ROOT::Math::ERotation3DMatrixIndex

Enumerator:
kXX 
kXY 
kXZ 
kYX 
kYY 
kYZ 
kZX 
kZY 
kZZ 

Definition at line 64 of file AxisAngle.cxx.

Function Documentation

template<class A, class B, class T>
SVector<T,3> ROOT::Math::Cross ( const VecExpr< A, T, 3 > &  lhs,
const VecExpr< B, T, 3 > &  rhs 
) [inline]

Definition at line 363 of file Functions.h.

References ROOT::Math::VecExpr< ExprType, T, D >::apply().

template<class T, class A>
SVector<T,3> ROOT::Math::Cross ( const SVector< T, 3 > &  lhs,
const VecExpr< A, T, 3 > &  rhs 
) [inline]

Definition at line 350 of file Functions.h.

References ROOT::Math::VecExpr< ExprType, T, D >::apply(), and ROOT::Math::SVector< T, D >::apply().

template<class A, class T>
SVector<T,3> ROOT::Math::Cross ( const VecExpr< A, T, 3 > &  lhs,
const SVector< T, 3 > &  rhs 
) [inline]

Definition at line 337 of file Functions.h.

References ROOT::Math::SVector< T, D >::apply(), and ROOT::Math::VecExpr< ExprType, T, D >::apply().

template<class Matrix, unsigned int n, unsigned int idim>
bool ROOT::Math::Dfactir ( Matrix &  rhs,
typename Matrix::value_type &  det,
unsigned int *  ir 
) [inline]

Dfactir.

Function to compute the determinant from a square matrix, Det(A) of dimension idim and order n. A working area ir is returned which is needed by the Dfinv routine.

Author:
T. Glebe

Definition at line 46 of file Dfactir.h.

template<class Matrix, unsigned int n, unsigned int idim>
bool ROOT::Math::Dfinv ( Matrix &  rhs,
unsigned int *  ir 
) [inline]

Dfinv.

Function to compute the inverse of a square matrix ($A^{-1}$) of dimension $idim$ and order $n$. The routine Dfactir must be called before Dfinv!

Author:
T. Glebe

Definition at line 47 of file Dfinv.h.

References m.

template<class R>
RotationZYX::Scalar ROOT::Math::Distance ( const RotationZYX &  r1,
const R &  r2 
) [inline]

Distance between two rotations.

Definition at line 337 of file GenVector/RotationZYX.h.

References ROOT::Math::gv_detail::dist().

template<class R>
RotationZ::Scalar ROOT::Math::Distance ( const RotationZ &  r1,
const R &  r2 
) [inline]

Distance between two rotations.

Definition at line 235 of file GenVector/RotationZ.h.

References ROOT::Math::gv_detail::dist().

template<class R>
RotationY::Scalar ROOT::Math::Distance ( const RotationY &  r1,
const R &  r2 
) [inline]

Distance between two rotations.

Definition at line 235 of file GenVector/RotationY.h.

References ROOT::Math::gv_detail::dist().

template<class R>
RotationX::Scalar ROOT::Math::Distance ( const RotationX &  r1,
const R &  r2 
) [inline]

Distance between two rotations.

Definition at line 235 of file GenVector/RotationX.h.

References ROOT::Math::gv_detail::dist().

template<class R>
Rotation3D::Scalar ROOT::Math::Distance ( const Rotation3D &  r1,
const R &  r2 
) [inline]

Distance between two rotations.

Definition at line 463 of file GenVector/Rotation3D.h.

References ROOT::Math::gv_detail::dist().

template<class R>
Quaternion::Scalar ROOT::Math::Distance ( const Quaternion &  r1,
const R &  r2 
) [inline]

Distance between two rotations.

Definition at line 326 of file GenVector/Quaternion.h.

References ROOT::Math::gv_detail::dist().

template<class R>
EulerAngles::Scalar ROOT::Math::Distance ( const EulerAngles &  r1,
const R &  r2 
) [inline]

Distance between two rotations.

Definition at line 355 of file GenVector/EulerAngles.h.

References ROOT::Math::gv_detail::dist().

template<class R>
AxisAngle::Scalar ROOT::Math::Distance ( const AxisAngle &  r1,
const R &  r2 
) [inline]

Distance between two rotations.

Definition at line 318 of file GenVector/AxisAngle.h.

References ROOT::Math::gv_detail::dist().

template<class A, class B, class T, unsigned int D, unsigned int D2, class R1, class R2>
Expr<BinaryOp<DivOp<T>, Expr<A,T,D,D2,R1>, Expr<B,T,D,D2,R2>, T>, T, D, D2,typename AddPolicy<T,D,D2,R1,R2>::RepType> ROOT::Math::Div ( const Expr< A, T, D, D2, R1 > &  lhs,
const Expr< B, T, D, D2, R2 > &  rhs 
) [inline]

Definition at line 932 of file BinaryOperators.h.

template<class A, class T, unsigned int D, unsigned int D2, class R1, class R2>
Expr<BinaryOp<DivOp<T>, SMatrix<T,D,D2,R1>, Expr<A,T,D,D2,R2>, T>, T, D, D2, typename AddPolicy<T,D,D2,R1,R2>::RepType> ROOT::Math::Div ( const SMatrix< T, D, D2, R1 > &  lhs,
const Expr< A, T, D, D2, R2 > &  rhs 
) [inline]

Definition at line 920 of file BinaryOperators.h.

template<class A, class T, unsigned int D, unsigned int D2, class R1, class R2>
Expr<BinaryOp<DivOp<T>, Expr<A,T,D,D2,R1>, SMatrix<T,D,D2,R2>, T>, T, D, D2, typename AddPolicy<T,D,D2,R1,R2>::RepType> ROOT::Math::Div ( const Expr< A, T, D, D2, R1 > &  lhs,
const SMatrix< T, D, D2, R2 > &  rhs 
) [inline]

Definition at line 908 of file BinaryOperators.h.

template<class A, class B, class T, unsigned int D>
T ROOT::Math::Dot ( const VecExpr< A, T, D > &  lhs,
const VecExpr< B, T, D > &  rhs 
) [inline]

Definition at line 191 of file Functions.h.

template<class A, class T, unsigned int D>
T ROOT::Math::Dot ( const VecExpr< A, T, D > &  lhs,
const SVector< T, D > &  rhs 
) [inline]

Definition at line 182 of file Functions.h.

template<class A, class T, unsigned int D>
T ROOT::Math::Dot ( const SVector< T, D > &  lhs,
const VecExpr< A, T, D > &  rhs 
) [inline]

Definition at line 174 of file Functions.h.

template<class T>
T ROOT::Math::etaMax (  )  [inline]

Function providing the maximum possible value of pseudorapidity for a non-zero rho, in the Scalar type with the largest dynamic range.

Definition at line 50 of file etaMax.h.

long double ROOT::Math::etaMax_impl (  )  [inline]

The following function could be called to provide the maximum possible value of pseudorapidity for a non-zero rho.

This is log ( max/min ) where max and min are the extrema of positive values for type long double.

Definition at line 36 of file etaMax.h.

double ROOT::Math::expm1 ( double  x  )  [inline]

exp(x) -1 with error cancellation when x is small

Definition at line 74 of file Math.h.

Referenced by exponential_cdf().

template<class A, class T, unsigned int D, unsigned int D2, class R>
Expr<UnaryOp<Fabs<T>, Expr<A,T,D,D2,R>, T>, T, D, D2, R> ROOT::Math::fabs ( const Expr< A, T, D, D2, R > &  rhs  )  [inline]

Definition at line 158 of file UnaryOperators.h.

template<class A, class T, unsigned int D>
VecExpr<UnaryOp<Fabs<T>, VecExpr<A,T,D>, T>, T, D> ROOT::Math::fabs ( const VecExpr< A, T, D > &  rhs  )  [inline]

Definition at line 129 of file UnaryOperators.h.

Referenced by ROOT::Math::KelvinFunctions::Bei(), ROOT::Math::KelvinFunctions::Ber(), ROOT::Math::KelvinFunctions::DBei(), ROOT::Math::KelvinFunctions::DBer(), ROOT::Math::KelvinFunctions::DKei(), ROOT::Math::KelvinFunctions::DKer(), ROOT::Math::KelvinFunctions::F1(), ROOT::Math::KelvinFunctions::F2(), ROOT::Math::KelvinFunctions::G1(), ROOT::Math::KelvinFunctions::G2(), ROOT::Math::Cephes::igami(), ROOT::Math::Cephes::incbi(), ROOT::Math::KelvinFunctions::Kei(), and ROOT::Math::KelvinFunctions::Ker().

double ROOT::Math::gaussian_cdf ( double  x,
double  sigma = 1,
double  x0 = 0 
) [inline]

Alternative name for same function.

Definition at line 435 of file ProbFuncMathCore.h.

References normal_cdf().

double ROOT::Math::gaussian_cdf_c ( double  x,
double  sigma = 1,
double  x0 = 0 
) [inline]

Alternative name for same function.

Definition at line 413 of file ProbFuncMathCore.h.

References normal_cdf_c().

template<class char_t, class traits_t>
std::basic_ios<char_t,traits_t>& ROOT::Math::human_readable ( std::basic_ios< char_t, traits_t > &  ios  )  [inline]

Definition at line 204 of file GenVectorIO.h.

References ROOT::Math::detail::bitforbit, and ROOT::Math::detail::ios_data().

double ROOT::Math::landau_cdf_c ( double  x,
double  sigma = 1,
double  x0 = 0 
) [inline]

Complement of the distribution function of the Landau distribution (upper tail).

\[ D(x) = \int_{x}^{+\infty} p(x) dx \]

where p(x) is the Landau probability density function. It is implemented simply as 1. - landau_cdf

Definition at line 352 of file ProbFuncMathCore.h.

References landau_cdf().

template<class A, class T>
T ROOT::Math::Lmag ( const VecExpr< A, T, 4 > &  rhs  )  [inline]

Definition at line 309 of file Functions.h.

References Lmag2(), and sqrt().

template<class A, class T>
T ROOT::Math::Lmag2 ( const VecExpr< A, T, 4 > &  rhs  )  [inline]

Definition at line 285 of file Functions.h.

References ROOT::Math::VecExpr< ExprType, T, D >::apply(), and Square().

double ROOT::Math::log1p ( double  x  )  [inline]

declarations for functions which are not implemented by some compilers

log(1+x) with error cancelatio when x is small

Definition at line 63 of file Math.h.

Referenced by beta_pdf(), binomial_pdf(), and exponential_quantile().

template<class char_t, class traits_t>
std::basic_ios<char_t,traits_t>& ROOT::Math::machine_readable ( std::basic_ios< char_t, traits_t > &  ios  )  [inline]

Definition at line 215 of file GenVectorIO.h.

References ROOT::Math::detail::bitforbit, and ROOT::Math::detail::ios_data().

template<class A, class T, unsigned int D>
T ROOT::Math::Mag ( const VecExpr< A, T, D > &  rhs  )  [inline]

Definition at line 262 of file Functions.h.

References Mag2(), and sqrt().

template<class A, class T, unsigned int D>
T ROOT::Math::Mag2 ( const VecExpr< A, T, D > &  rhs  )  [inline]

Definition at line 239 of file Functions.h.

template<class A, class B, class T, unsigned int D1, unsigned int D, unsigned int D2, class R1, class R2>
Expr<MatrixMulOp<Expr<A,T,D1,D,R1>, Expr<B,T,D,D2,R2>,T,D>, T, D1, D2, typename MultPolicy<T,R1,R2>::RepType> ROOT::Math::operator * ( const Expr< A, T, D1, D, R1 > &  lhs,
const Expr< B, T, D, D2, R2 > &  rhs 
) [inline]

Definition at line 398 of file MatrixFunctions.h.

template<class A, class T, unsigned int D1, unsigned int D, unsigned int D2, class R1, class R2>
Expr<MatrixMulOp<Expr<A,T,D1,D,R1>, SMatrix<T,D,D2,R2>,T,D>, T, D1, D2, typename MultPolicy<T,R1,R2>::RepType> ROOT::Math::operator * ( const Expr< A, T, D1, D, R1 > &  lhs,
const SMatrix< T, D, D2, R2 > &  rhs 
) [inline]

Definition at line 387 of file MatrixFunctions.h.

template<class A, class T, unsigned int D1, unsigned int D, unsigned int D2, class R1, class R2>
Expr<MatrixMulOp<SMatrix<T,D1,D,R1>, Expr<A,T,D,D2,R2>,T,D>, T, D1, D2, typename MultPolicy<T,R1,R2>::RepType> ROOT::Math::operator * ( const SMatrix< T, D1, D, R1 > &  lhs,
const Expr< A, T, D, D2, R2 > &  rhs 
) [inline]

Definition at line 376 of file MatrixFunctions.h.

template<class A, class B, class T, unsigned int D1, unsigned int D2, class R>
VecExpr<VectorMatrixColOp<VecExpr<A,T,D1>, Expr<B,T,D1,D2,R>, D1>, T, D2> ROOT::Math::operator * ( const VecExpr< A, T, D1 > &  lhs,
const Expr< B, T, D1, D2, R > &  rhs 
) [inline]

Definition at line 260 of file MatrixFunctions.h.

template<class A, class T, unsigned int D1, unsigned int D2, class R>
VecExpr<VectorMatrixColOp<VecExpr<A,T,D1>, SMatrix<T,D1,D2,R>, D1>, T, D2> ROOT::Math::operator * ( const VecExpr< A, T, D1 > &  lhs,
const SMatrix< T, D1, D2, R > &  rhs 
) [inline]

Definition at line 250 of file MatrixFunctions.h.

template<class A, class T, unsigned int D1, unsigned int D2, class R>
VecExpr<VectorMatrixColOp<SVector<T,D1>, Expr<A,T,D1,D2,R>, D1>, T, D2> ROOT::Math::operator * ( const SVector< T, D1 > &  lhs,
const Expr< A, T, D1, D2, R > &  rhs 
) [inline]

Definition at line 240 of file MatrixFunctions.h.

template<class T, unsigned int D1, unsigned int D2, class R>
VecExpr<VectorMatrixColOp<SVector<T,D1>, SMatrix<T,D1,D2,R>, D1>, T, D2> ROOT::Math::operator * ( const SVector< T, D1 > &  lhs,
const SMatrix< T, D1, D2, R > &  rhs 
) [inline]

Definition at line 230 of file MatrixFunctions.h.

template<class A, class B, class T, unsigned int D1, unsigned int D2, class R>
VecExpr<VectorMatrixRowOp<Expr<A,T,D1,D2,R>, VecExpr<B,T,D2>, D2>, T, D1> ROOT::Math::operator * ( const Expr< A, T, D1, D2, R > &  lhs,
const VecExpr< B, T, D2 > &  rhs 
) [inline]

Definition at line 220 of file MatrixFunctions.h.

template<class A, class T, unsigned int D1, unsigned int D2, class R>
VecExpr<VectorMatrixRowOp<Expr<A,T,D1,D2,R>, SVector<T,D2>, D2>, T, D1> ROOT::Math::operator * ( const Expr< A, T, D1, D2, R > &  lhs,
const SVector< T, D2 > &  rhs 
) [inline]

Definition at line 210 of file MatrixFunctions.h.

template<class A, class T, unsigned int D1, unsigned int D2, class R>
VecExpr<VectorMatrixRowOp<SMatrix<T,D1,D2,R>, VecExpr<A,T,D2>, D2>, T, D1> ROOT::Math::operator * ( const SMatrix< T, D1, D2, R > &  lhs,
const VecExpr< A, T, D2 > &  rhs 
) [inline]

Definition at line 200 of file MatrixFunctions.h.

template<class A, class B, class T, unsigned int D, unsigned int D2, class R>
Expr<BinaryOpCopyL<MulOp<T>, Constant<A>, Expr<B,T,D,D2,R>, T>, T, D, D2, R> ROOT::Math::operator * ( const A &  lhs,
const Expr< B, T, D, D2, R > &  rhs 
) [inline]

Definition at line 750 of file BinaryOperators.h.

template<class A, class B, class T, unsigned int D, unsigned int D2, class R>
Expr<BinaryOpCopyR<MulOp<T>, Expr<B,T,D,D2,R>, Constant<A>, T>, T, D, D2, R> ROOT::Math::operator * ( const Expr< B, T, D, D2, R > &  lhs,
const A &  rhs 
) [inline]

Definition at line 738 of file BinaryOperators.h.

template<class A, class B, class T, unsigned int D>
VecExpr<BinaryOpCopyL<MulOp<T>, Constant<A>, VecExpr<B,T,D>, T>, T, D> ROOT::Math::operator * ( const A &  lhs,
const VecExpr< B, T, D > &  rhs 
) [inline]

Definition at line 634 of file BinaryOperators.h.

template<class A, class B, class T, unsigned int D>
VecExpr<BinaryOpCopyR<MulOp<T>, VecExpr<B,T,D>, Constant<A>, T>, T, D> ROOT::Math::operator * ( const VecExpr< B, T, D > &  lhs,
const A &  rhs 
) [inline]

Definition at line 623 of file BinaryOperators.h.

template<class A, class T, unsigned int D>
VecExpr<BinaryOpCopyL<MulOp<T>, Constant<A>, SVector<T,D>, T>, T, D> ROOT::Math::operator * ( const A &  lhs,
const SVector< T, D > &  rhs 
) [inline]

Definition at line 611 of file BinaryOperators.h.

template<class A, class T, unsigned int D>
VecExpr<BinaryOpCopyR<MulOp<T>, SVector<T,D>, Constant<A>, T>, T, D> ROOT::Math::operator * ( const SVector< T, D > &  lhs,
const A &  rhs 
) [inline]

Definition at line 600 of file BinaryOperators.h.

template<class A, class B, class T, unsigned int D>
VecExpr<BinaryOp<MulOp<T>, VecExpr<A,T,D>, VecExpr<B,T,D>, T>, T, D> ROOT::Math::operator * ( const VecExpr< A, T, D > &  lhs,
const VecExpr< B, T, D > &  rhs 
) [inline]

Definition at line 589 of file BinaryOperators.h.

template<class A, class T, unsigned int D>
VecExpr<BinaryOp<MulOp<T>, SVector<T,D>, VecExpr<A,T,D>, T>, T, D> ROOT::Math::operator * ( const SVector< T, D > &  lhs,
const VecExpr< A, T, D > &  rhs 
) [inline]

Definition at line 578 of file BinaryOperators.h.

template<class A, class T, unsigned int D>
VecExpr<BinaryOp<MulOp<T>, Expr<A,T,D>, SVector<T,D>, T>, T, D> ROOT::Math::operator * ( const VecExpr< A, T, D > &  lhs,
const SVector< T, D > &  rhs 
) [inline]

Definition at line 567 of file BinaryOperators.h.

XYZTVector ROOT::Math::operator * ( double  a,
XYZTVector  v 
)

Definition at line 46 of file VectorUtil_Cint.h.

XYZPoint ROOT::Math::operator * ( double  a,
XYZPoint  p 
)

Definition at line 42 of file VectorUtil_Cint.h.

XYZVector ROOT::Math::operator * ( double  a,
XYZVector  v 
)

Definition at line 37 of file VectorUtil_Cint.h.

Transform3D ROOT::Math::operator * ( const Quaternion &  r,
const Transform3D &  t 
) [inline]

Definition at line 843 of file GenVector/Transform3D.h.

References ROOT::Math::Transform3D::Rotation(), ROOT::Math::Transform3D::Translation(), and ROOT::Math::Translation3D::Vect().

Transform3D ROOT::Math::operator * ( const AxisAngle &  r,
const Transform3D &  t 
) [inline]

Definition at line 839 of file GenVector/Transform3D.h.

References ROOT::Math::Transform3D::Rotation(), ROOT::Math::Transform3D::Translation(), and ROOT::Math::Translation3D::Vect().

Transform3D ROOT::Math::operator * ( const EulerAngles &  r,
const Transform3D &  t 
) [inline]

Definition at line 835 of file GenVector/Transform3D.h.

References ROOT::Math::Transform3D::Rotation(), ROOT::Math::Transform3D::Translation(), and ROOT::Math::Translation3D::Vect().

Transform3D ROOT::Math::operator * ( const RotationZYX &  r,
const Transform3D &  t 
) [inline]

Definition at line 831 of file GenVector/Transform3D.h.

References ROOT::Math::Transform3D::Rotation(), ROOT::Math::Transform3D::Translation(), and ROOT::Math::Translation3D::Vect().

Transform3D ROOT::Math::operator * ( const RotationZ &  r,
const Transform3D &  t 
) [inline]

Definition at line 827 of file GenVector/Transform3D.h.

References ROOT::Math::Transform3D::Rotation(), ROOT::Math::Transform3D::Translation(), and ROOT::Math::Translation3D::Vect().

Transform3D ROOT::Math::operator * ( const RotationY &  r,
const Transform3D &  t 
) [inline]

Definition at line 823 of file GenVector/Transform3D.h.

References ROOT::Math::Transform3D::Rotation(), ROOT::Math::Transform3D::Translation(), and ROOT::Math::Translation3D::Vect().

Transform3D ROOT::Math::operator * ( const RotationX &  r,
const Transform3D &  t 
) [inline]

Definition at line 819 of file GenVector/Transform3D.h.

References ROOT::Math::Transform3D::Rotation(), ROOT::Math::Transform3D::Translation(), and ROOT::Math::Translation3D::Vect().

Transform3D ROOT::Math::operator * ( const Rotation3D &  r,
const Transform3D &  t 
) [inline]

combine a rotation and a transformation to give a transform3d First the transformation then the rotation

Definition at line 816 of file GenVector/Transform3D.h.

References ROOT::Math::Transform3D::Rotation(), ROOT::Math::Transform3D::Translation(), and ROOT::Math::Translation3D::Vect().

Transform3D ROOT::Math::operator * ( const Transform3D &  t,
const Quaternion &  r 
) [inline]

Definition at line 806 of file GenVector/Transform3D.h.

References ROOT::Math::Transform3D::Rotation(), and ROOT::Math::Transform3D::Translation().

Transform3D ROOT::Math::operator * ( const Transform3D &  t,
const AxisAngle &  r 
) [inline]

Definition at line 803 of file GenVector/Transform3D.h.

References ROOT::Math::Transform3D::Rotation(), and ROOT::Math::Transform3D::Translation().

Transform3D ROOT::Math::operator * ( const Transform3D &  t,
const EulerAngles &  r 
) [inline]

Definition at line 800 of file GenVector/Transform3D.h.

References ROOT::Math::Transform3D::Rotation(), and ROOT::Math::Transform3D::Translation().

Transform3D ROOT::Math::operator * ( const Transform3D &  t,
const RotationZYX &  r 
) [inline]

Definition at line 797 of file GenVector/Transform3D.h.

References ROOT::Math::Transform3D::Rotation(), and ROOT::Math::Transform3D::Translation().

Transform3D ROOT::Math::operator * ( const Transform3D &  t,
const RotationZ &  r 
) [inline]

Definition at line 794 of file GenVector/Transform3D.h.

References ROOT::Math::Transform3D::Rotation(), and ROOT::Math::Transform3D::Translation().

Transform3D ROOT::Math::operator * ( const Transform3D &  t,
const RotationY &  r 
) [inline]

Definition at line 791 of file GenVector/Transform3D.h.

References ROOT::Math::Transform3D::Rotation(), and ROOT::Math::Transform3D::Translation().

Transform3D ROOT::Math::operator * ( const Transform3D &  t,
const RotationX &  r 
) [inline]

Definition at line 788 of file GenVector/Transform3D.h.

References ROOT::Math::Transform3D::Rotation(), and ROOT::Math::Transform3D::Translation().

Transform3D ROOT::Math::operator * ( const Transform3D &  t,
const Rotation3D &  r 
) [inline]

combine a transformation and a rotation to give a transform3d First the rotation then the transform3D

Definition at line 785 of file GenVector/Transform3D.h.

References ROOT::Math::Transform3D::Rotation(), and ROOT::Math::Transform3D::Translation().

Transform3D ROOT::Math::operator * ( const Translation3D &  d,
const Transform3D &  t 
) [inline]

combine a translation and a transformation to give a transform3d First the transformation then the translation

Definition at line 774 of file GenVector/Transform3D.h.

References ROOT::Math::Transform3D::Rotation(), ROOT::Math::Transform3D::Translation(), and ROOT::Math::Translation3D::Vect().

Transform3D ROOT::Math::operator * ( const Transform3D &  t,
const Translation3D &  d 
) [inline]

combine a transformation and a translation to give a transform3d First the translation then the transform3D

Definition at line 765 of file GenVector/Transform3D.h.

References ROOT::Math::Transform3D::Rotation(), ROOT::Math::Transform3D::Translation(), and ROOT::Math::Translation3D::Vect().

Transform3D ROOT::Math::operator * ( const Translation3D &  t,
const AxisAngle &  r 
) [inline]

Definition at line 755 of file GenVector/Transform3D.h.

References ROOT::Math::Translation3D::Vect().

Transform3D ROOT::Math::operator * ( const Translation3D &  t,
const Quaternion &  r 
) [inline]

Definition at line 752 of file GenVector/Transform3D.h.

References ROOT::Math::Translation3D::Vect().

Transform3D ROOT::Math::operator * ( const Translation3D &  t,
const EulerAngles &  r 
) [inline]

Definition at line 749 of file GenVector/Transform3D.h.

References ROOT::Math::Translation3D::Vect().

Transform3D ROOT::Math::operator * ( const Translation3D &  t,
const RotationZYX &  r 
) [inline]

Definition at line 746 of file GenVector/Transform3D.h.

References ROOT::Math::Translation3D::Vect().

Transform3D ROOT::Math::operator * ( const Translation3D &  t,
const RotationZ &  r 
) [inline]

Definition at line 743 of file GenVector/Transform3D.h.

References ROOT::Math::Translation3D::Vect().

Transform3D ROOT::Math::operator * ( const Translation3D &  t,
const RotationY &  r 
) [inline]

Definition at line 740 of file GenVector/Transform3D.h.

References ROOT::Math::Translation3D::Vect().

Transform3D ROOT::Math::operator * ( const Translation3D &  t,
const RotationX &  r 
) [inline]

Definition at line 737 of file GenVector/Transform3D.h.

References ROOT::Math::Translation3D::Vect().

Transform3D ROOT::Math::operator * ( const Translation3D &  t,
const Rotation3D &  r 
) [inline]

combine a rotation and a translation to give a transform3d First a rotation then the translation

Definition at line 734 of file GenVector/Transform3D.h.

References ROOT::Math::Translation3D::Vect().

Transform3D ROOT::Math::operator * ( const Quaternion &  r,
const Translation3D &  t 
) [inline]

Definition at line 723 of file GenVector/Transform3D.h.

References ROOT::Math::Translation3D::Vect().

Transform3D ROOT::Math::operator * ( const EulerAngles &  r,
const Translation3D &  t 
) [inline]

Definition at line 719 of file GenVector/Transform3D.h.

References ROOT::Math::Translation3D::Vect().

Transform3D ROOT::Math::operator * ( const AxisAngle &  r,
const Translation3D &  t 
) [inline]

Definition at line 715 of file GenVector/Transform3D.h.

References ROOT::Math::Translation3D::Vect().

Transform3D ROOT::Math::operator * ( const RotationZYX &  r,
const Translation3D &  t 
) [inline]

Definition at line 711 of file GenVector/Transform3D.h.

References ROOT::Math::Translation3D::Vect().

Transform3D ROOT::Math::operator * ( const RotationZ &  r,
const Translation3D &  t 
) [inline]

Definition at line 707 of file GenVector/Transform3D.h.

References ROOT::Math::Translation3D::Vect().

Transform3D ROOT::Math::operator * ( const RotationY &  r,
const Translation3D &  t 
) [inline]

Definition at line 703 of file GenVector/Transform3D.h.

References ROOT::Math::Translation3D::Vect().

Transform3D ROOT::Math::operator * ( const RotationX &  r,
const Translation3D &  t 
) [inline]

Definition at line 699 of file GenVector/Transform3D.h.

References ROOT::Math::Translation3D::Vect().

Transform3D ROOT::Math::operator * ( const Rotation3D &  r,
const Translation3D &  t 
) [inline]

combine a translation and a rotation to give a transform3d First the translation then the rotation

Definition at line 696 of file GenVector/Transform3D.h.

References ROOT::Math::Translation3D::Vect().

RotationZYX ROOT::Math::operator * ( RotationZ const &  r1,
RotationZYX const &  r2 
)

Definition at line 105 of file RotationZYX.cxx.

References ROOT::Math::RotationZYX::RotationZYX().

RotationZYX ROOT::Math::operator * ( RotationY const &  r1,
RotationZYX const &  r2 
)

Definition at line 100 of file RotationZYX.cxx.

References ROOT::Math::RotationZYX::RotationZYX().

RotationZYX ROOT::Math::operator * ( RotationX const &  r1,
RotationZYX const &  r2 
)

Multiplication of an axial rotation by an AxisAngle.

Definition at line 96 of file RotationZYX.cxx.

References ROOT::Math::RotationZYX::RotationZYX().

Rotation3D ROOT::Math::operator * ( RotationZ const &  r1,
RotationY const &  r2 
)

Definition at line 132 of file Rotation3DxAxial.cxx.

References ROOT::Math::RotationZ::CosAngle(), ROOT::Math::RotationY::CosAngle(), ROOT::Math::Rotation3D::Rotation3D(), ROOT::Math::RotationZ::SinAngle(), and ROOT::Math::RotationY::SinAngle().

Rotation3D ROOT::Math::operator * ( RotationZ const &  r1,
RotationX const &  r2 
)

Definition at line 120 of file Rotation3DxAxial.cxx.

References ROOT::Math::RotationZ::CosAngle(), ROOT::Math::RotationX::CosAngle(), ROOT::Math::Rotation3D::Rotation3D(), ROOT::Math::RotationZ::SinAngle(), and ROOT::Math::RotationX::SinAngle().

Rotation3D ROOT::Math::operator * ( RotationY const &  r1,
RotationZ const &  r2 
)

Definition at line 108 of file Rotation3DxAxial.cxx.

References ROOT::Math::RotationZ::CosAngle(), ROOT::Math::RotationY::CosAngle(), ROOT::Math::Rotation3D::Rotation3D(), ROOT::Math::RotationZ::SinAngle(), and ROOT::Math::RotationY::SinAngle().

Rotation3D ROOT::Math::operator * ( RotationY const &  r1,
RotationX const &  r2 
)

Definition at line 96 of file Rotation3DxAxial.cxx.

References ROOT::Math::RotationY::CosAngle(), ROOT::Math::RotationX::CosAngle(), ROOT::Math::Rotation3D::Rotation3D(), ROOT::Math::RotationY::SinAngle(), and ROOT::Math::RotationX::SinAngle().

Rotation3D ROOT::Math::operator * ( RotationX const &  r1,
RotationZ const &  r2 
)

Definition at line 84 of file Rotation3DxAxial.cxx.

References ROOT::Math::RotationZ::CosAngle(), ROOT::Math::RotationX::CosAngle(), ROOT::Math::Rotation3D::Rotation3D(), ROOT::Math::RotationZ::SinAngle(), and ROOT::Math::RotationX::SinAngle().

Rotation3D ROOT::Math::operator * ( RotationX const &  r1,
RotationY const &  r2 
)

Multiplication of an axial rotation by another axial Rotation.

Definition at line 72 of file Rotation3DxAxial.cxx.

References ROOT::Math::RotationY::CosAngle(), ROOT::Math::RotationX::CosAngle(), ROOT::Math::Rotation3D::Rotation3D(), ROOT::Math::RotationY::SinAngle(), and ROOT::Math::RotationX::SinAngle().

Rotation3D ROOT::Math::operator * ( RotationZ const &  r1,
Rotation3D const &  r2 
)

Definition at line 63 of file Rotation3DxAxial.cxx.

References ROOT::Math::Rotation3D::Rotation3D().

Rotation3D ROOT::Math::operator * ( RotationY const &  r1,
Rotation3D const &  r2 
)

Definition at line 57 of file Rotation3DxAxial.cxx.

References ROOT::Math::Rotation3D::Rotation3D().

Rotation3D ROOT::Math::operator * ( RotationX const &  r1,
Rotation3D const &  r2 
)

Multiplication of an axial rotation by a Rotation3D.

Definition at line 51 of file Rotation3DxAxial.cxx.

References ROOT::Math::Rotation3D::Rotation3D().

Quaternion ROOT::Math::operator * ( RotationZ const &  r1,
Quaternion const &  r2 
)

Definition at line 73 of file QuaternionXaxial.cxx.

References ROOT::Math::Quaternion::Quaternion().

Quaternion ROOT::Math::operator * ( RotationY const &  r1,
Quaternion const &  r2 
)

Definition at line 68 of file QuaternionXaxial.cxx.

References ROOT::Math::Quaternion::Quaternion().

Quaternion ROOT::Math::operator * ( RotationX const &  r1,
Quaternion const &  r2 
)

Multiplication of an axial rotation by an AxisAngle.

Definition at line 63 of file QuaternionXaxial.cxx.

References ROOT::Math::Quaternion::Quaternion().

template<class CoordSystem, class U>
PositionVector3D<CoordSystem> ROOT::Math::operator * ( typename PositionVector3D< CoordSystem, U >::Scalar  a,
PositionVector3D< CoordSystem, U >  v 
) [inline]

Multiplication of a position vector by real number a*v.

Definition at line 511 of file GenVector/PositionVector3D.h.

template<class CoordSystem, class U>
PositionVector2D<CoordSystem> ROOT::Math::operator * ( typename PositionVector2D< CoordSystem, U >::Scalar  a,
PositionVector2D< CoordSystem, U >  v 
) [inline]

Multiplication of a position vector by real number a*v.

Definition at line 370 of file GenVector/PositionVector2D.h.

template<class CoordSystem>
LorentzVector<CoordSystem> ROOT::Math::operator * ( const typename LorentzVector< CoordSystem >::Scalar &  a,
const LorentzVector< CoordSystem > &  v 
) [inline]

Scale of a LorentzVector with a scalar quantity a.

Parameters:
a scalar quantity of typpe a
v mathcore::LorentzVector based on any coordinate system
Returns:
a new mathcoreLorentzVector q = v * a same type as v

Definition at line 674 of file GenVector/LorentzVector.h.

EulerAngles ROOT::Math::operator * ( RotationZ const &  r1,
EulerAngles const &  r2 
)

Definition at line 122 of file EulerAngles.cxx.

References ROOT::Math::EulerAngles::EulerAngles().

EulerAngles ROOT::Math::operator * ( RotationY const &  r1,
EulerAngles const &  r2 
)

Definition at line 117 of file EulerAngles.cxx.

References ROOT::Math::EulerAngles::EulerAngles().

EulerAngles ROOT::Math::operator * ( RotationX const &  r1,
EulerAngles const &  r2 
)

Multiplication of an axial rotation by an AxisAngle.

Definition at line 113 of file EulerAngles.cxx.

References ROOT::Math::EulerAngles::EulerAngles().

template<class CoordSystem, class U>
DisplacementVector3D<CoordSystem,U> ROOT::Math::operator * ( typename DisplacementVector3D< CoordSystem, U >::Scalar  a,
DisplacementVector3D< CoordSystem, U >  v 
) [inline]

Multiplication of a displacement vector by real number a*v.

Definition at line 605 of file GenVector/DisplacementVector3D.h.

template<class CoordSystem, class U>
DisplacementVector2D<CoordSystem,U> ROOT::Math::operator * ( typename DisplacementVector2D< CoordSystem, U >::Scalar  a,
DisplacementVector2D< CoordSystem, U >  v 
) [inline]

Multiplication of a displacement vector by real number a*v.

Definition at line 459 of file GenVector/DisplacementVector2D.h.

AxisAngle ROOT::Math::operator * ( RotationZ const &  r1,
AxisAngle const &  r2 
)

Definition at line 190 of file AxisAngleXother.cxx.

References ROOT::Math::AxisAngle::AxisAngle().

AxisAngle ROOT::Math::operator * ( RotationY const &  r1,
AxisAngle const &  r2 
)

Definition at line 186 of file AxisAngleXother.cxx.

References ROOT::Math::AxisAngle::AxisAngle().

AxisAngle ROOT::Math::operator * ( RotationX const &  r1,
AxisAngle const &  r2 
)

Multiplication of an axial rotation by an AxisAngle.

Definition at line 182 of file AxisAngleXother.cxx.

References ROOT::Math::AxisAngle::AxisAngle().

template<class A, class B, class T, unsigned int D, unsigned int D2, class R>
Expr<BinaryOpCopyL<AddOp<T>, Constant<A>, Expr<B,T,D,D2,R>, T>, T, D, D2, R> ROOT::Math::operator+ ( const A &  lhs,
const Expr< B, T, D, D2, R > &  rhs 
) [inline]

Definition at line 271 of file BinaryOperators.h.

template<class A, class B, class T, unsigned int D, unsigned int D2, class R>
Expr<BinaryOpCopyR<AddOp<T>, Expr<B,T,D,D2,R>, Constant<A>, T>, T, D, D2, R> ROOT::Math::operator+ ( const Expr< B, T, D, D2, R > &  lhs,
const A &  rhs 
) [inline]

Definition at line 259 of file BinaryOperators.h.

template<class A, class B, class T, unsigned int D, unsigned int D2, class R1, class R2>
Expr<BinaryOp<AddOp<T>, Expr<A,T,D,D2,R1>, Expr<B,T,D,D2,R2>, T>, T, D, D2, typename AddPolicy<T,D,D2,R1,R2>::RepType > ROOT::Math::operator+ ( const Expr< A, T, D, D2, R1 > &  lhs,
const Expr< B, T, D, D2, R1 > &  rhs 
) [inline]

Definition at line 211 of file BinaryOperators.h.

template<class A, class T, unsigned int D, unsigned int D2, class R1, class R2>
Expr<BinaryOp<AddOp<T>, SMatrix<T,D,D2,R1>, Expr<A,T,D,D2,R2>, T>, T, D, D2,typename AddPolicy<T,D,D2,R1,R2>::RepType> ROOT::Math::operator+ ( const SMatrix< T, D, D2, R1 > &  lhs,
const Expr< A, T, D, D2, R2 > &  rhs 
) [inline]

Definition at line 199 of file BinaryOperators.h.

template<class A, class T, unsigned int D, unsigned int D2, class R1, class R2>
Expr<BinaryOp<AddOp<T>, Expr<A,T,D,D2,R1>, SMatrix<T,D,D2,R2>, T>, T, D, D2, typename AddPolicy<T,D,D2,R1,R2>::RepType> ROOT::Math::operator+ ( const Expr< A, T, D, D2, R1 > &  lhs,
const SMatrix< T, D, D2, R2 > &  rhs 
) [inline]

Definition at line 187 of file BinaryOperators.h.

template<class A, class B, class T, unsigned int D>
VecExpr<BinaryOpCopyL<AddOp<T>, Constant<A>, VecExpr<B,T,D>, T>, T, D> ROOT::Math::operator+ ( const A &  lhs,
const VecExpr< B, T, D > &  rhs 
) [inline]

Definition at line 157 of file BinaryOperators.h.

template<class A, class B, class T, unsigned int D>
VecExpr<BinaryOpCopyR<AddOp<T>, VecExpr<B,T,D>, Constant<A>, T>, T, D> ROOT::Math::operator+ ( const VecExpr< B, T, D > &  lhs,
const A &  rhs 
) [inline]

Definition at line 146 of file BinaryOperators.h.

template<class A, class B, class T, unsigned int D>
VecExpr<BinaryOp<AddOp<T>, VecExpr<A,T,D>, VecExpr<B,T,D>, T>, T, D> ROOT::Math::operator+ ( const VecExpr< A, T, D > &  lhs,
const VecExpr< B, T, D > &  rhs 
) [inline]

Definition at line 99 of file BinaryOperators.h.

template<class A, class T, unsigned int D>
VecExpr<BinaryOp<AddOp<T>, SVector<T,D>, VecExpr<A,T,D>, T>, T, D> ROOT::Math::operator+ ( const SVector< T, D > &  lhs,
const VecExpr< A, T, D > &  rhs 
) [inline]

Definition at line 87 of file BinaryOperators.h.

template<class A, class T, unsigned int D>
VecExpr<BinaryOp<AddOp<T>, VecExpr<A,T,D>, SVector<T,D>, T>, T, D> ROOT::Math::operator+ ( const VecExpr< A, T, D > &  lhs,
const SVector< T, D > &  rhs 
) [inline]

Definition at line 75 of file BinaryOperators.h.

template<class CoordSystem1, class CoordSystem2, class U>
PositionVector3D<CoordSystem2,U> ROOT::Math::operator+ ( DisplacementVector3D< CoordSystem1, U > const &  v1,
PositionVector3D< CoordSystem2, U >  p2 
) [inline]

Addition of a DisplacementVector3D and a PositionVector3D.

The return type is a PositionVector3D, of the same (coordinate system) type as the input PositionVector3D.

Definition at line 556 of file GenVector/PositionVector3D.h.

template<class CoordSystem1, class CoordSystem2, class U>
PositionVector3D<CoordSystem2,U> ROOT::Math::operator+ ( PositionVector3D< CoordSystem2, U >  p1,
const DisplacementVector3D< CoordSystem1, U > &  v2 
) [inline]

Addition of a PositionVector3D and a DisplacementVector3D.

The return type is a PositionVector3D, of the same (coordinate system) type as the input PositionVector3D.

Definition at line 543 of file GenVector/PositionVector3D.h.

template<class CoordSystem1, class CoordSystem2, class U>
PositionVector2D<CoordSystem2,U> ROOT::Math::operator+ ( DisplacementVector2D< CoordSystem1, U > const &  v1,
PositionVector2D< CoordSystem2, U >  p2 
) [inline]

Addition of a DisplacementVector2D and a PositionVector2D.

The return type is a PositionVector2D, of the same (coordinate system) type as the input PositionVector2D.

Definition at line 415 of file GenVector/PositionVector2D.h.

template<class CoordSystem1, class CoordSystem2, class U>
PositionVector2D<CoordSystem2,U> ROOT::Math::operator+ ( PositionVector2D< CoordSystem2, U >  p1,
const DisplacementVector2D< CoordSystem1, U > &  v2 
) [inline]

Addition of a PositionVector2D and a DisplacementVector2D.

The return type is a PositionVector2D, of the same (coordinate system) type as the input PositionVector2D.

Definition at line 402 of file GenVector/PositionVector2D.h.

template<class CoordSystem1, class CoordSystem2, class U>
DisplacementVector3D<CoordSystem1,U> ROOT::Math::operator+ ( DisplacementVector3D< CoordSystem1, U >  v1,
const DisplacementVector3D< CoordSystem2, U > &  v2 
) [inline]

Addition of DisplacementVector3D vectors.

The (coordinate system) type of the returned vector is defined to be identical to that of the first vector, which is passed by value

Definition at line 579 of file GenVector/DisplacementVector3D.h.

template<class CoordSystem1, class CoordSystem2, class U>
DisplacementVector2D<CoordSystem1,U> ROOT::Math::operator+ ( DisplacementVector2D< CoordSystem1, U >  v1,
const DisplacementVector2D< CoordSystem2, U > &  v2 
) [inline]

Addition of DisplacementVector2D vectors.

The (coordinate system) type of the returned vector is defined to be identical to that of the first vector, which is passed by value

Definition at line 431 of file GenVector/DisplacementVector2D.h.

template<class A, class T, unsigned int D, unsigned int D2, class R>
Expr<UnaryOp<Minus<T>, Expr<A,T,D,D2,R>, T>, T, D, D2,R> ROOT::Math::operator- ( const Expr< A, T, D, D2, R > &  rhs  )  [inline]

Definition at line 83 of file UnaryOperators.h.

template<class A, class T, unsigned int D>
VecExpr<UnaryOp<Minus<T>, VecExpr<A,T,D>, T>, T, D> ROOT::Math::operator- ( const VecExpr< A, T, D > &  rhs  )  [inline]

Definition at line 54 of file UnaryOperators.h.

template<class A, class B, class T, unsigned int D, unsigned int D2, class R>
Expr<BinaryOpCopyL<MinOp<T>, Constant<A>, Expr<B,T,D,D2,R>, T>, T, D, D2, R> ROOT::Math::operator- ( const A &  lhs,
const Expr< B, T, D, D2, R > &  rhs 
) [inline]

Definition at line 513 of file BinaryOperators.h.

template<class A, class B, class T, unsigned int D, unsigned int D2, class R>
Expr<BinaryOpCopyR<MinOp<T>, Expr<B,T,D,D2,R>, Constant<A>, T>, T, D, D2, R> ROOT::Math::operator- ( const Expr< B, T, D, D2, R > &  lhs,
const A &  rhs 
) [inline]

Definition at line 502 of file BinaryOperators.h.

template<class A, class B, class T, unsigned int D, unsigned int D2, class R1, class R2>
Expr<BinaryOp<MinOp<T>, Expr<A,T,D,D2,R1>, Expr<B,T,D,D2,R2>, T>, T, D, D2,typename AddPolicy<T,D,D2,R1,R2>::RepType> ROOT::Math::operator- ( const Expr< A, T, D, D2, R1 > &  lhs,
const Expr< B, T, D, D2, R2 > &  rhs 
) [inline]

Definition at line 455 of file BinaryOperators.h.

template<class A, class T, unsigned int D, unsigned int D2, class R1, class R2>
Expr<BinaryOp<MinOp<T>, SMatrix<T,D,D2,R1>, Expr<A,T,D,D2,R2>, T>, T, D, D2, typename AddPolicy<T,D,D2,R1,R2>::RepType> ROOT::Math::operator- ( const SMatrix< T, D, D2, R1 > &  lhs,
const Expr< A, T, D, D2, R2 > &  rhs 
) [inline]

Definition at line 443 of file BinaryOperators.h.

template<class A, class T, unsigned int D, unsigned int D2, class R1, class R2>
Expr<BinaryOp<MinOp<T>, Expr<A,T,D,D2,R1>, SMatrix<T,D,D2,R2>, T>, T, D, D2,typename AddPolicy<T,D,D2,R1,R2>::RepType> ROOT::Math::operator- ( const Expr< A, T, D, D2, R1 > &  lhs,
const SMatrix< T, D, D2, R2 > &  rhs 
) [inline]

Definition at line 431 of file BinaryOperators.h.

template<class A, class B, class T, unsigned int D>
VecExpr<BinaryOpCopyL<MinOp<T>, Constant<A>, VecExpr<B,T,D>, T>, T, D> ROOT::Math::operator- ( const A &  lhs,
const VecExpr< B, T, D > &  rhs 
) [inline]

Definition at line 401 of file BinaryOperators.h.

template<class A, class B, class T, unsigned int D>
VecExpr<BinaryOpCopyR<MinOp<T>, VecExpr<B,T,D>, Constant<A>, T>, T, D> ROOT::Math::operator- ( const VecExpr< B, T, D > &  lhs,
const A &  rhs 
) [inline]

Definition at line 390 of file BinaryOperators.h.

template<class A, class B, class T, unsigned int D>
VecExpr<BinaryOp<MinOp<T>, VecExpr<A,T,D>, VecExpr<B,T,D>, T>, T, D> ROOT::Math::operator- ( const VecExpr< A, T, D > &  lhs,
const VecExpr< B, T, D > &  rhs 
) [inline]

Definition at line 343 of file BinaryOperators.h.

template<class A, class T, unsigned int D>
VecExpr<BinaryOp<MinOp<T>, SVector<T,D>, VecExpr<A,T,D>, T>, T, D> ROOT::Math::operator- ( const SVector< T, D > &  lhs,
const VecExpr< A, T, D > &  rhs 
) [inline]

Definition at line 331 of file BinaryOperators.h.

template<class A, class T, unsigned int D>
VecExpr<BinaryOp<MinOp<T>, VecExpr<A,T,D>, SVector<T,D>, T>, T, D> ROOT::Math::operator- ( const VecExpr< A, T, D > &  lhs,
const SVector< T, D > &  rhs 
) [inline]

Definition at line 319 of file BinaryOperators.h.

template<class CoordSystem1, class CoordSystem2, class U>
PositionVector3D<CoordSystem2,U> ROOT::Math::operator- ( PositionVector3D< CoordSystem2, U >  p1,
DisplacementVector3D< CoordSystem1, U > const &  v2 
) [inline]

Subtraction of a DisplacementVector3D from a PositionVector3D.

The return type is a PositionVector3D, of the same (coordinate system) type as the input PositionVector3D.

Definition at line 569 of file GenVector/PositionVector3D.h.

template<class CoordSystem1, class CoordSystem2, class U>
DisplacementVector3D<CoordSystem1,U> ROOT::Math::operator- ( const PositionVector3D< CoordSystem1, U > &  v1,
const PositionVector3D< CoordSystem2, U > &  v2 
) [inline]

Difference between two PositionVector3D vectors.

The result is a DisplacementVector3D. The (coordinate system) type of the returned vector is defined to be identical to that of the first position vector.

Definition at line 528 of file GenVector/PositionVector3D.h.

References ROOT::Math::PositionVector3D< CoordSystem, Tag >::X(), ROOT::Math::PositionVector3D< CoordSystem, Tag >::Y(), and ROOT::Math::PositionVector3D< CoordSystem, Tag >::Z().

template<class CoordSystem1, class CoordSystem2, class U>
PositionVector2D<CoordSystem2,U> ROOT::Math::operator- ( PositionVector2D< CoordSystem2, U >  p1,
DisplacementVector2D< CoordSystem1, U > const &  v2 
) [inline]

Subtraction of a DisplacementVector2D from a PositionVector2D.

The return type is a PositionVector2D, of the same (coordinate system) type as the input PositionVector2D.

Definition at line 428 of file GenVector/PositionVector2D.h.

template<class CoordSystem1, class CoordSystem2, class U>
DisplacementVector2D<CoordSystem1,U> ROOT::Math::operator- ( const PositionVector2D< CoordSystem1, U > &  v1,
const PositionVector2D< CoordSystem2, U > &  v2 
) [inline]

Difference between two PositionVector2D vectors.

The result is a DisplacementVector2D. The (coordinate system) type of the returned vector is defined to be identical to that of the first position vector.

Definition at line 387 of file GenVector/PositionVector2D.h.

References ROOT::Math::PositionVector2D< CoordSystem, Tag >::X(), and ROOT::Math::PositionVector2D< CoordSystem, Tag >::Y().

template<class CoordSystem1, class CoordSystem2, class U>
DisplacementVector3D<CoordSystem1,U> ROOT::Math::operator- ( DisplacementVector3D< CoordSystem1, U >  v1,
DisplacementVector3D< CoordSystem2, U > const &  v2 
) [inline]

Difference between two DisplacementVector3D vectors.

The (coordinate system) type of the returned vector is defined to be identical to that of the first vector.

Definition at line 592 of file GenVector/DisplacementVector3D.h.

template<class CoordSystem1, class CoordSystem2, class U>
DisplacementVector2D<CoordSystem1,U> ROOT::Math::operator- ( DisplacementVector2D< CoordSystem1, U >  v1,
DisplacementVector2D< CoordSystem2, U > const &  v2 
) [inline]

Difference between two DisplacementVector2D vectors.

The (coordinate system) type of the returned vector is defined to be identical to that of the first vector.

Definition at line 444 of file GenVector/DisplacementVector2D.h.

template<class A, class B, class T, unsigned int D, unsigned int D2, class R>
Expr<BinaryOpCopyL<DivOp<T>, Constant<A>, Expr<B,T,D,D2,R>, T>, T, D, D2,R> ROOT::Math::operator/ ( const A &  lhs,
const Expr< B, T, D, D2, R > &  rhs 
) [inline]

Definition at line 993 of file BinaryOperators.h.

template<class A, class B, class T, unsigned int D, unsigned int D2, class R>
Expr<BinaryOpCopyR<DivOp<T>, Expr<B,T,D,D2,R>, Constant<A>, T>, T, D, D2, R> ROOT::Math::operator/ ( const Expr< B, T, D, D2, R > &  lhs,
const A &  rhs 
) [inline]

Definition at line 981 of file BinaryOperators.h.

template<class A, class B, class T, unsigned int D>
VecExpr<BinaryOpCopyL<DivOp<T>, Constant<A>, VecExpr<B,T,D>, T>, T, D> ROOT::Math::operator/ ( const A &  lhs,
const VecExpr< B, T, D > &  rhs 
) [inline]

Definition at line 878 of file BinaryOperators.h.

template<class A, class B, class T, unsigned int D>
VecExpr<BinaryOpCopyR<DivOp<T>, VecExpr<B,T,D>, Constant<A>, T>, T, D> ROOT::Math::operator/ ( const VecExpr< B, T, D > &  lhs,
const A &  rhs 
) [inline]

Definition at line 867 of file BinaryOperators.h.

template<class A, class B, class T, unsigned int D>
VecExpr<BinaryOp<DivOp<T>, VecExpr<A,T,D>, VecExpr<B,T,D>, T>, T, D> ROOT::Math::operator/ ( const VecExpr< A, T, D > &  lhs,
const VecExpr< B, T, D > &  rhs 
) [inline]

Definition at line 820 of file BinaryOperators.h.

template<class A, class T, unsigned int D>
VecExpr<BinaryOp<DivOp<T>, SVector<T,D>, VecExpr<A,T,D>, T>, T, D> ROOT::Math::operator/ ( const SVector< T, D > &  lhs,
const VecExpr< A, T, D > &  rhs 
) [inline]

Definition at line 808 of file BinaryOperators.h.

template<class A, class T, unsigned int D>
VecExpr<BinaryOp<DivOp<T>, VecExpr<A,T,D>, SVector<T,D>, T>, T, D> ROOT::Math::operator/ ( const VecExpr< A, T, D > &  lhs,
const SVector< T, D > &  rhs 
) [inline]

Definition at line 797 of file BinaryOperators.h.

template<class T, unsigned int D>
std::ostream& ROOT::Math::operator<< ( std::ostream &  os,
const ROOT::Math::SVector< T, D > &  rhs 
) [inline]

template<class T, unsigned int D1, unsigned int D2, class R>
std::ostream& ROOT::Math::operator<< ( std::ostream &  os,
const ROOT::Math::SMatrix< T, D1, D2, R > &  rhs 
) [inline]

Definition at line 636 of file SMatrix.h.

template<class A, class T, unsigned int D1, unsigned int D2, class R1>
std::ostream& ROOT::Math::operator<< ( std::ostream &  os,
const Expr< A, T, D1, D2, R1 > &  rhs 
) [inline]

Definition at line 205 of file Expression.h.

template<class A, class T, unsigned int D>
std::ostream& ROOT::Math::operator<< ( std::ostream &  os,
const VecExpr< A, T, D > &  rhs 
) [inline]

Definition at line 200 of file Expression.h.

std::ostream & ROOT::Math::operator<< ( std::ostream &  os,
const Translation3D &  t 
)

Definition at line 50 of file Translation3D.cxx.

References ROOT::Math::Translation3D::GetComponents(), and m.

std::ostream & ROOT::Math::operator<< ( std::ostream &  os,
const Transform3D &  t 
)

print the 12 components of the Transform3D

Definition at line 214 of file Transform3D.cxx.

References ROOT::Math::Transform3D::GetComponents(), and m.

std::ostream & ROOT::Math::operator<< ( std::ostream &  os,
const RotationZYX &  e 
)

Stream Output and Input.

Definition at line 151 of file RotationZYX.cxx.

References ROOT::Math::RotationZYX::Phi(), ROOT::Math::RotationZYX::Psi(), and ROOT::Math::RotationZYX::Theta().

std::ostream& ROOT::Math::operator<< ( std::ostream &  os,
const RotationZ &  r 
) [inline]

Stream Output and Input.

Definition at line 243 of file GenVector/RotationZ.h.

References ROOT::Math::RotationZ::Angle().

std::ostream& ROOT::Math::operator<< ( std::ostream &  os,
const RotationY &  r 
) [inline]

Stream Output and Input.

Definition at line 243 of file GenVector/RotationY.h.

References ROOT::Math::RotationY::Angle().

std::ostream& ROOT::Math::operator<< ( std::ostream &  os,
const RotationX &  r 
) [inline]

Stream Output and Input.

Definition at line 243 of file GenVector/RotationX.h.

References ROOT::Math::RotationX::Angle().

std::ostream & ROOT::Math::operator<< ( std::ostream &  os,
const Rotation3D &  r 
)

Stream Output and Input.

Definition at line 137 of file Rotation3D.cxx.

References ROOT::Math::Rotation3D::GetComponents(), and m.

std::ostream & ROOT::Math::operator<< ( std::ostream &  os,
const Quaternion &  q 
)

Stream Output and Input.

Definition at line 101 of file Quaternion.cxx.

References ROOT::Math::Quaternion::I(), ROOT::Math::Quaternion::J(), ROOT::Math::Quaternion::K(), and ROOT::Math::Quaternion::U().

template<class char_t, class traits_t, class T, class U>
std::basic_ostream<char_t,traits_t>& ROOT::Math::operator<< ( std::basic_ostream< char_t, traits_t > &  os,
PositionVector3D< T, U > const &  v 
) [inline]

Definition at line 581 of file GenVector/PositionVector3D.h.

References ROOT::Math::detail::bitforbit, ROOT::Math::detail::close, ROOT::Math::detail::get_manip(), ROOT::Math::detail::open, ROOT::Math::detail::sep, ROOT::Math::detail::set_manip(), and v.

template<class char_t, class traits_t, class T, class U>
std::basic_ostream<char_t,traits_t>& ROOT::Math::operator<< ( std::basic_ostream< char_t, traits_t > &  os,
PositionVector2D< T, U > const &  v 
) [inline]

Definition at line 440 of file GenVector/PositionVector2D.h.

References ROOT::Math::detail::bitforbit, ROOT::Math::detail::close, ROOT::Math::detail::get_manip(), ROOT::Math::detail::open, ROOT::Math::detail::sep, ROOT::Math::detail::set_manip(), and v.

std::ostream & ROOT::Math::operator<< ( std::ostream &  os,
const Plane3D &  p 
)

Stream Output and Input.

Definition at line 93 of file Plane3D.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().

template<class char_t, class traits_t, class Coords>
std::basic_ostream<char_t,traits_t>& ROOT::Math::operator<< ( std::basic_ostream< char_t, traits_t > &  os,
LorentzVector< Coords > const &  v 
) [inline]

Definition at line 686 of file GenVector/LorentzVector.h.

References ROOT::Math::detail::bitforbit, ROOT::Math::detail::close, ROOT::Math::detail::get_manip(), ROOT::Math::detail::open, ROOT::Math::detail::sep, and ROOT::Math::detail::set_manip().

std::ostream & ROOT::Math::operator<< ( std::ostream &  os,
const LorentzRotation &  r 
)

Stream Output and Input.

Definition at line 224 of file LorentzRotation.cxx.

References ROOT::Math::LorentzRotation::GetComponents(), and m.

std::ostream & ROOT::Math::operator<< ( std::ostream &  os,
const EulerAngles &  e 
)

Stream Output and Input.

Definition at line 128 of file EulerAngles.cxx.

References ROOT::Math::EulerAngles::Phi(), ROOT::Math::EulerAngles::Psi(), and ROOT::Math::EulerAngles::Theta().

template<class char_t, class traits_t, class T, class U>
std::basic_ostream<char_t,traits_t>& ROOT::Math::operator<< ( std::basic_ostream< char_t, traits_t > &  os,
DisplacementVector3D< T, U > const &  v 
) [inline]

Definition at line 623 of file GenVector/DisplacementVector3D.h.

References ROOT::Math::detail::bitforbit, ROOT::Math::detail::close, ROOT::Math::detail::get_manip(), ROOT::Math::detail::open, ROOT::Math::detail::sep, ROOT::Math::detail::set_manip(), and v.

template<class char_t, class traits_t, class T, class U>
std::basic_ostream<char_t,traits_t>& ROOT::Math::operator<< ( std::basic_ostream< char_t, traits_t > &  os,
DisplacementVector2D< T, U > const &  v 
) [inline]

Definition at line 477 of file GenVector/DisplacementVector2D.h.

References ROOT::Math::detail::bitforbit, ROOT::Math::detail::close, ROOT::Math::detail::get_manip(), ROOT::Math::detail::open, ROOT::Math::detail::sep, ROOT::Math::detail::set_manip(), and v.

std::ostream & ROOT::Math::operator<< ( std::ostream &  os,
const BoostZ &  b 
)

Stream Output and Input.

Definition at line 110 of file BoostZ.cxx.

References ROOT::Math::BoostZ::Beta(), and ROOT::Math::BoostZ::Gamma().

std::ostream & ROOT::Math::operator<< ( std::ostream &  os,
const BoostY &  b 
)

Stream Output and Input.

Definition at line 109 of file BoostY.cxx.

References ROOT::Math::BoostY::Beta(), and ROOT::Math::BoostY::Gamma().

std::ostream & ROOT::Math::operator<< ( std::ostream &  os,
const BoostX &  b 
)

Stream Output and Input.

Definition at line 110 of file BoostX.cxx.

References ROOT::Math::BoostX::Beta(), and ROOT::Math::BoostX::Gamma().

std::ostream & ROOT::Math::operator<< ( std::ostream &  os,
const Boost &  b 
)

Stream Output and Input.

Definition at line 175 of file Boost.cxx.

References ROOT::Math::Boost::GetLorentzRotation(), and m.

std::ostream & ROOT::Math::operator<< ( std::ostream &  os,
const AxisAngle &  a 
)

Stream Output and Input.

Definition at line 91 of file AxisAngle.cxx.

References ROOT::Math::AxisAngle::Angle(), and ROOT::Math::AxisAngle::Axis().

template<class char_t, class traits_t, class T, class U>
std::basic_istream<char_t,traits_t>& ROOT::Math::operator>> ( std::basic_istream< char_t, traits_t > &  is,
PositionVector3D< T, U > &  v 
) [inline]

Definition at line 612 of file GenVector/PositionVector3D.h.

References ROOT::Math::detail::bitforbit, ROOT::Math::detail::close, ROOT::Math::detail::get_manip(), ROOT::Math::detail::open, ROOT::Math::detail::require_delim(), ROOT::Math::detail::sep, ROOT::Math::detail::set_manip(), and ROOT::Math::PositionVector3D< CoordSystem, Tag >::SetCoordinates().

template<class char_t, class traits_t, class T, class U>
std::basic_istream<char_t,traits_t>& ROOT::Math::operator>> ( std::basic_istream< char_t, traits_t > &  is,
PositionVector2D< T, U > &  v 
) [inline]

Definition at line 469 of file GenVector/PositionVector2D.h.

References ROOT::Math::detail::bitforbit, ROOT::Math::detail::close, ROOT::Math::detail::get_manip(), ROOT::Math::detail::open, ROOT::Math::detail::require_delim(), ROOT::Math::detail::sep, ROOT::Math::detail::set_manip(), and ROOT::Math::PositionVector2D< CoordSystem, Tag >::SetCoordinates().

template<class char_t, class traits_t, class Coords>
std::basic_istream<char_t,traits_t>& ROOT::Math::operator>> ( std::basic_istream< char_t, traits_t > &  is,
LorentzVector< Coords > &  v 
) [inline]

Definition at line 715 of file GenVector/LorentzVector.h.

References ROOT::Math::detail::bitforbit, ROOT::Math::detail::close, ROOT::Math::detail::get_manip(), ROOT::Math::detail::open, ROOT::Math::detail::require_delim(), ROOT::Math::detail::sep, ROOT::Math::detail::set_manip(), and ROOT::Math::LorentzVector< CoordSystem >::SetCoordinates().

template<class char_t, class traits_t, class T, class U>
std::basic_istream<char_t,traits_t>& ROOT::Math::operator>> ( std::basic_istream< char_t, traits_t > &  is,
DisplacementVector3D< T, U > &  v 
) [inline]

Definition at line 654 of file GenVector/DisplacementVector3D.h.

References ROOT::Math::detail::bitforbit, ROOT::Math::detail::close, ROOT::Math::detail::get_manip(), ROOT::Math::detail::open, ROOT::Math::detail::require_delim(), ROOT::Math::detail::sep, ROOT::Math::detail::set_manip(), and ROOT::Math::DisplacementVector3D< CoordSystem, Tag >::SetCoordinates().

template<class char_t, class traits_t, class T, class U>
std::basic_istream<char_t,traits_t>& ROOT::Math::operator>> ( std::basic_istream< char_t, traits_t > &  is,
DisplacementVector2D< T, U > &  v 
) [inline]

Definition at line 506 of file GenVector/DisplacementVector2D.h.

References ROOT::Math::detail::bitforbit, ROOT::Math::detail::close, ROOT::Math::detail::get_manip(), ROOT::Math::detail::open, ROOT::Math::detail::require_delim(), ROOT::Math::detail::sep, ROOT::Math::detail::set_manip(), and ROOT::Math::DisplacementVector2D< CoordSystem, Tag >::SetCoordinates().

double ROOT::Math::Pi (  )  [inline]

Mathematical constants.

Definition at line 56 of file Math.h.

References M_PI.

Referenced by ROOT::Math::Cephes::gamma(), and ROOT::Math::Cephes::lgam().

double ROOT::Math::Polynomial1eval ( double  x,
double *  a,
unsigned int  N 
)

Definition at line 966 of file SpecFuncCephes.cxx.

Referenced by ROOT::Math::Cephes::erf(), ROOT::Math::Cephes::erfc(), ROOT::Math::Cephes::lgam(), and ROOT::Math::Cephes::ndtri().

double ROOT::Math::Polynomialeval ( double  x,
double *  a,
unsigned int  N 
)

Definition at line 950 of file SpecFuncCephes.cxx.

Referenced by ROOT::Math::Cephes::erf(), ROOT::Math::Cephes::erfc(), ROOT::Math::Cephes::gamma(), ROOT::Math::Cephes::lgam(), and ROOT::Math::Cephes::ndtri().

template<class char_t>
detail::manipulator<char_t> ROOT::Math::set_close ( char_t  ch  )  [inline]

Definition at line 194 of file GenVectorIO.h.

References ROOT::Math::detail::close.

template<class char_t>
detail::manipulator<char_t> ROOT::Math::set_open ( char_t  ch  )  [inline]

Definition at line 174 of file GenVectorIO.h.

References ROOT::Math::detail::open.

template<class char_t>
detail::manipulator<char_t> ROOT::Math::set_separator ( char_t  ch  )  [inline]

Definition at line 184 of file GenVectorIO.h.

References ROOT::Math::detail::sep.

template<class A, class T, unsigned int D1, unsigned int D2, class R>
SMatrix<T,D1,D1,MatRepSym<T,D1> > ROOT::Math::Similarity ( const Expr< A, T, D1, D2, R > &  lhs,
const SMatrix< T, D2, D2, MatRepSym< T, D2 > > &  rhs 
) [inline]

Definition at line 729 of file MatrixFunctions.h.

References ROOT::Math::AssignSym::Evaluate(), and Transpose().

template<class A, class B, class T, unsigned int D, class R>
T ROOT::Math::Similarity ( const VecExpr< A, T, D > &  lhs,
const Expr< B, T, D, D, R > &  rhs 
) [inline]

Definition at line 698 of file MatrixFunctions.h.

References Dot().

template<class A, class B, class T, unsigned int D, class R>
T ROOT::Math::Similarity ( const Expr< A, T, D, D, R > &  lhs,
const VecExpr< B, T, D > &  rhs 
) [inline]

Definition at line 690 of file MatrixFunctions.h.

References Dot().

template<class A, class T, unsigned int D, class R>
T ROOT::Math::Similarity ( const Expr< A, T, D, D, R > &  lhs,
const SVector< T, D > &  rhs 
) [inline]

Definition at line 682 of file MatrixFunctions.h.

References Dot().

template<class A, class T, unsigned int D, class R>
T ROOT::Math::Similarity ( const SVector< T, D > &  lhs,
const Expr< A, T, D, D, R > &  rhs 
) [inline]

Definition at line 674 of file MatrixFunctions.h.

References Dot().

template<class A, class T, unsigned int D, class R>
T ROOT::Math::Similarity ( const VecExpr< A, T, D > &  lhs,
const SMatrix< T, D, D, R > &  rhs 
) [inline]

Definition at line 666 of file MatrixFunctions.h.

References Dot().

template<class A, class T, unsigned int D, class R>
T ROOT::Math::Similarity ( const SMatrix< T, D, D, R > &  lhs,
const VecExpr< A, T, D > &  rhs 
) [inline]

Definition at line 658 of file MatrixFunctions.h.

References Dot().

template<class T, unsigned int D, class R>
T ROOT::Math::Similarity ( const SVector< T, D > &  lhs,
const SMatrix< T, D, D, R > &  rhs 
) [inline]

Definition at line 650 of file MatrixFunctions.h.

References Dot().

template<class A, class T, unsigned int D1, unsigned int D2, class R>
SMatrix<T,D2,D2,MatRepSym<T,D2> > ROOT::Math::SimilarityT ( const Expr< A, T, D1, D2, R > &  lhs,
const SMatrix< T, D1, D1, MatRepSym< T, D1 > > &  rhs 
) [inline]

Definition at line 779 of file MatrixFunctions.h.

References ROOT::Math::AssignSym::Evaluate(), and Transpose().

template<class A, class T, unsigned int D, unsigned int D2, class R>
Expr<UnaryOp<Sqr<T>, Expr<A,T,D,D2,R>, T>, T, D, D2, R> ROOT::Math::sqr ( const Expr< A, T, D, D2, R > &  rhs  )  [inline]

Definition at line 233 of file UnaryOperators.h.

template<class A, class T, unsigned int D>
VecExpr<UnaryOp<Sqr<T>, VecExpr<A,T,D>, T>, T, D> ROOT::Math::sqr ( const VecExpr< A, T, D > &  rhs  )  [inline]

Definition at line 204 of file UnaryOperators.h.

template<class A, class T, unsigned int D, unsigned int D2, class R>
Expr<UnaryOp<Sqrt<T>, Expr<A,T,D,D2,R>, T>, T, D, D2, R> ROOT::Math::sqrt ( const Expr< A, T, D, D2, R > &  rhs  )  [inline]

Definition at line 308 of file UnaryOperators.h.

template<class A, class T, unsigned int D>
VecExpr<UnaryOp<Sqrt<T>, VecExpr<A,T,D>, T>, T, D> ROOT::Math::sqrt ( const VecExpr< A, T, D > &  rhs  )  [inline]

Definition at line 279 of file UnaryOperators.h.

Referenced by ROOT::Math::KelvinFunctions::Bei(), ROOT::Math::KelvinFunctions::Ber(), ROOT::Math::Cephes::igami(), ROOT::Math::Cephes::incbi(), ROOT::Math::KelvinFunctions::Kei(), ROOT::Math::KelvinFunctions::Ker(), ROOT::Math::KelvinFunctions::M(), ROOT::Math::KelvinFunctions::N(), and ROOT::Math::Cephes::ndtri().

template<class T, unsigned int D1, unsigned int D2, class A, class B>
Expr<TensorMulOp<VecExpr<A,T,D1>, VecExpr<B,T,D2> >, T, D1, D2 > ROOT::Math::TensorProd ( const VecExpr< A, T, D1 > &  lhs,
const VecExpr< B, T, D2 > &  rhs 
) [inline]

Definition at line 893 of file MatrixFunctions.h.

template<class T, unsigned int D1, unsigned int D2, class A>
Expr<TensorMulOp<SVector<T,D1>, VecExpr<A,T,D2> >, T, D1, D2 > ROOT::Math::TensorProd ( const SVector< T, D1 > &  lhs,
const VecExpr< A, T, D2 > &  rhs 
) [inline]

Definition at line 882 of file MatrixFunctions.h.

template<class T, unsigned int D1, unsigned int D2, class A>
Expr<TensorMulOp<VecExpr<A,T,D1>, SVector<T,D2> >, T, D1, D2 > ROOT::Math::TensorProd ( const VecExpr< A, T, D1 > &  lhs,
const SVector< T, D2 > &  rhs 
) [inline]

Definition at line 872 of file MatrixFunctions.h.

void ROOT::Math::Throw ( GenVector_exception &  e  ) 

Definition at line 21 of file GenVector_exception.cxx.

Referenced by ROOT::Math::LorentzVector< CoordSystem >::Beta(), ROOT::Math::VectorUtil::boost(), ROOT::Math::VectorUtil::boostX(), ROOT::Math::VectorUtil::boostY(), ROOT::Math::VectorUtil::boostZ(), ROOT::Math::LorentzVector< CoordSystem >::Gamma(), ROOT::Math::PxPyPzE4D< ScalarType >::M(), ROOT::Math::PtEtaPhiE4D< ScalarType >::M(), ROOT::Math::PxPyPzM4D< ScalarType >::Mt(), ROOT::Math::PxPyPzE4D< ScalarType >::Mt(), ROOT::Math::PtEtaPhiM4D< ScalarType >::Mt(), ROOT::Math::PtEtaPhiE4D< ScalarType >::Mt(), ROOT::Math::LorentzRotation::Rectify(), ROOT::Math::BoostZ::Rectify(), ROOT::Math::BoostY::Rectify(), ROOT::Math::BoostX::Rectify(), ROOT::Math::Boost::Rectify(), ROOT::Math::BoostZ::SetComponents(), ROOT::Math::BoostY::SetComponents(), ROOT::Math::BoostX::SetComponents(), and ROOT::Math::Boost::SetComponents().

template<class A, class B, class T, unsigned int D, unsigned int D2, class R1, class R2>
Expr<BinaryOp<MulOp<T>, Expr<A,T,D,D2,R1>, Expr<B,T,D,D2,R2>, T>, T, D, D2, typename AddPolicy<T,D,D2,R1,R2>::RepType> ROOT::Math::Times ( const Expr< A, T, D, D2, R1 > &  lhs,
const Expr< B, T, D, D2, R2 > &  rhs 
) [inline]

Definition at line 689 of file BinaryOperators.h.

template<class A, class T, unsigned int D, unsigned int D2, class R1, class R2>
Expr<BinaryOp<MulOp<T>, SMatrix<T,D,D2,R1>, Expr<A,T,D,D2,R2>, T>, T, D, D2, typename AddPolicy<T,D,D2,R1,R2>::RepType> ROOT::Math::Times ( const SMatrix< T, D, D2, R1 > &  lhs,
const Expr< A, T, D, D2, R2 > &  rhs 
) [inline]

Definition at line 677 of file BinaryOperators.h.

template<class A, class T, unsigned int D, unsigned int D2, class R1, class R2>
Expr<BinaryOp<MulOp<T>, Expr<A,T,D,D2,R1>, SMatrix<T,D,D2,R2>, T>, T, D, D2, typename AddPolicy<T,D,D2,R1,R2>::RepType> ROOT::Math::Times ( const Expr< A, T, D, D2, R1 > &  lhs,
const SMatrix< T, D, D2, R2 > &  rhs 
) [inline]

Definition at line 665 of file BinaryOperators.h.

template<class A, class T, unsigned int D1, unsigned int D2, class R>
Expr<TransposeOp<Expr<A,T,D1,D2,R>,T,D1,D2>, T, D2, D1, typename TranspPolicy<T,D1,D2,R>::RepType> ROOT::Math::Transpose ( const Expr< A, T, D1, D2, R > &  rhs  )  [inline]

Definition at line 528 of file MatrixFunctions.h.

template<class A, class T, unsigned int D>
SVector<T,D> ROOT::Math::Unit ( const VecExpr< A, T, D > &  rhs  )  [inline]

Definition at line 391 of file Functions.h.

References Unit().

Variable Documentation

double ROOT::Math::kEulerGamma = 0.577215664901532860606512090082402431042

Definition at line 34 of file KelvinFunctions.cxx.

Referenced by ROOT::Math::KelvinFunctions::DKei(), ROOT::Math::KelvinFunctions::DKer(), ROOT::Math::KelvinFunctions::Kei(), and ROOT::Math::KelvinFunctions::Ker().

double ROOT::Math::kPi = 3.14159265358979323846

Definition at line 33 of file KelvinFunctions.cxx.

Referenced by ROOT::Math::KelvinFunctions::Bei(), ROOT::Math::KelvinFunctions::Ber(), ROOT::Math::KelvinFunctions::DBei(), ROOT::Math::KelvinFunctions::DBer(), ROOT::Math::KelvinFunctions::DKei(), ROOT::Math::KelvinFunctions::DKer(), ROOT::Math::KelvinFunctions::F1(), ROOT::Math::KelvinFunctions::F2(), ROOT::Math::KelvinFunctions::G1(), ROOT::Math::KelvinFunctions::G2(), ROOT::Math::KelvinFunctions::Kei(), ROOT::Math::KelvinFunctions::Ker(), ROOT::Math::KelvinFunctions::M(), ROOT::Math::KelvinFunctions::N(), ROOT::Math::KelvinFunctions::Phi(), and ROOT::Math::KelvinFunctions::Theta().

double ROOT::Math::kSqrt2 = 1.4142135623730950488016887242097

Definition at line 32 of file KelvinFunctions.cxx.

Referenced by ROOT::Math::KelvinFunctions::Bei(), ROOT::Math::KelvinFunctions::Ber(), ROOT::Math::KelvinFunctions::F1(), ROOT::Math::KelvinFunctions::F2(), ROOT::Math::KelvinFunctions::G1(), ROOT::Math::KelvinFunctions::G2(), ROOT::Math::KelvinFunctions::Kei(), ROOT::Math::KelvinFunctions::Ker(), ROOT::Math::KelvinFunctions::M(), ROOT::Math::KelvinFunctions::N(), ROOT::Math::KelvinFunctions::Phi(), and ROOT::Math::KelvinFunctions::Theta().

Generated on Thu Jan 17 12:03:54 2008 for ROOT Mathematical Libraries by  doxygen 1.5.3