ROOT::Math Namespace Reference

Namespaces
	Blas
	BrentMethods
	Cephes
	Chebyshev
	template recursive functions for defining evaluation of Chebyshev polynomials T_n(x) and the series S(x) = Sum_i c_i* T_i(x)
	CholeskyDecompHelpers
	helpers for CholeskyDecomp
	detail
	GenAlgoOptUtil
	GenVector
	GenVector_detail
	GSLRootHelper
	Helper functions to test convergence of Root-Finding algorithms.
	GSLSimAn
	gv_detail
	Impl
	IntegMultiDim
	IntegOneDim
	IntegOptionsUtil
	Integration
	IntegrationMultiDim
	IntegrationOneDim
	Interpolation
	MCIntegration
	Minim
	Minim1D
	Roots
	Root-Finding Algorithms.
	rowOffsetsUtils
	Sampler
	test
	Util
	namespace defining Utility functions needed by mathcore
	VectorUtil
	Global Helper functions for generic Vector classes.

Classes
class	WrappedMultiTF1
	Class to Wrap a ROOT Function class (like TF1) in a IParamMultiFunction interface of multi-dimensions to be used in the ROOT::Math numerical algorithm This wrapper class does not own the TF1 pointer, so it assumes it exists during the wrapper lifetime. 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 wrapper does not own bby default the TF1 pointer, so it assumes it exists during the wrapper lifetime. More...
struct	GeneticMinimizerParameters
class	GeneticMinimizer
	GeneticMinimizer. 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...
struct	CoordinateTraits
struct	CoordinateTraits< Cartesian3D< Scalar > >
struct	CoordinateTraits< CylindricalEta3D< Scalar > >
struct	CoordinateTraits< Cylindrical3D< Scalar > >
struct	CoordinateTraits< Polar3D< Scalar > >
struct	CoordinateTraits< PxPyPzE4D< Scalar > >
struct	CoordinateTraits< PxPyPzM4D< Scalar > >
struct	CoordinateTraits< PtEtaPhiE4D< Scalar > >
struct	CoordinateTraits< PtEtaPhiM4D< Scalar > >
struct	RotationTraits
struct	RotationTraits< Rotation3D >
struct	RotationTraits< AxisAngle >
struct	RotationTraits< EulerAngles >
struct	RotationTraits< Quaternion >
struct	RotationTraits< RotationX >
struct	RotationTraits< RotationY >
struct	RotationTraits< RotationZ >
struct	RotationTraits< LorentzRotation >
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	AdaptiveIntegratorMultiDim
	class for adaptive quadrature integration in multi-dimensions using rectangular regions. More...
class	BasicMinimizer
	Base Minimizer class, which defines the basic funcionality of various minimizer implementations (apart from Minuit and Minuit2) It provides support for storing parameter values, step size, parameter transofrmation etc. More...
class	BrentMinimizer1D
	User class for performing function minimization. More...
class	BrentRootFinder
	Class for finding the root of a one dimensional function using the Brent algorithm. More...
class	ChebyshevPol
class	Delaunay2D
	Class to generate a Delaunay triangulation of a 2D set of points. More...
class	DistSampler
	Interface class for generic sampling of a distribution, i.e. More...
class	DistSamplerOptions
	DistSampler options class. More...
class	Factory
	Factory class holding static functions to create the interfaces like ROOT::Math::Minimizer via the Plugin Manager. More...
class	FunctorImpl
	FunctorImpl is a base class for the functor handler implementation class. 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	GaussIntegrator
	User class for performing function integration. More...
class	IntegrandTransform
	Auxillary inner class for mapping infinite and semi-infinite integrals. More...
class	GaussLegendreIntegrator
	User class for performing function integration. More...
class	GenAlgoOptions
	class implementing generic options for a numerical algorithm Just store the options in a map of string-value pairs More...
class	GoFTest
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	IMinimizer1D
	Interface class for numerical methods for one-dimensional minimization. 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	BaseIntegratorOptions
	Base class for Numerical integration options common in 1D and multi-dimension This is an internal class and is not supposed to be instantiated by the user. More...
class	IntegratorOneDimOptions
	Numerical one dimensional integration options. More...
class	IntegratorMultiDimOptions
	Numerical multi dimensional integration options. More...
class	IOptions
	Generic interface for defining configuration options of a numerical algorithm. 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 with respect to 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 with respect the coordinates also the gradient with respect to the parameters, via the method ParameterGradient. More...
class	IRootFinderMethod
	Interface for finding function roots of one-dimensional functions. More...
class	KDTree
class	MersenneTwisterEngine
	Random number generator class based on M. More...
class	Minimizer
	Abstract Minimizer class, defining the interface for the various minimizer (like Minuit2, Minuit, GSL, etc..) Plug-in's exist in ROOT to be able to instantiate the derived classes like ROOT::Math::GSLMinimizer or ROOT::Math::Minuit2Minimizer via the plug-in manager. More...
class	MinimizerOptions
	Minimizer options. More...
class	MinimizerVariableTransformation
	Base class for MinimizerVariable transformations defining the functions to deal with bounded parameters. More...
class	SinVariableTransformation
	Sin Transformation class for dealing with double bounded variables. More...
class	SqrtLowVariableTransformation
	Sqrt Transformation class for dealing with lower bounded variables. More...
class	SqrtUpVariableTransformation
	Sqrt Transformation class for dealing with upper bounded variables. More...
class	MinimTransformFunction
	MinimTransformFunction class to perform a transformations on the variables to deal with fixed or limited variables (support both double and single bounds) The class manages the passed function pointer. More...
class	MinimTransformVariable
	MinimTransformVariable class Contains meta information of the variables such as bounds, fix flags and deals with transformation of the variable The class does not contain the values and the step size (error) of the variable This is an internal class used by the MinimTransformFunction class. More...
class	MixMaxEngine
	MIXMAX Random number generator. More...
class	MultiDimParamFunctionAdapter
	MultiDimParamFunctionAdapter class to wrap a one-dimensional parametric function in a multi dimensional parameteric function interface This is used typically in fitting where internally the function is stored as multidimension. More...
class	MultiDimParamGradFunctionAdapter
	MultiDimParamGradFunctionAdapter class to wrap a one-dimensional parametric gradient function in a multi dimensional parameteric gradient function interface This is used typically in fitting where internally the function is stored as multidimension. More...
struct	EvaluatorOneDim
struct	EvaluatorOneDim< const ROOT::Math::IParamMultiFunction & >
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	ParamFunctionBase
	class defining the signature for multi-dim parametric functions More...
class	ParamFunctorHandler
	ParamFunctor Handler class is responsible for wrapping any other functor and pointer to free C functions. More...
class	ParamMemFunHandler
	ParamFunctor Handler to Wrap pointers to member functions. More...
class	ParamFunctor
	Param Functor class for Multidimensional functions. More...
class	Random
	Documentation for the Random class. More...
class	RandomFunctionsImpl
	Definition of the generic impelmentation class for the RandomFunctions. More...
class	RandomFunctionsImpl< TRandomEngine >
	Implementation class for the RandomFunction for all the engined that derives from TRandomEngine class, which defines an interface which has TRandomEngine::Rndm() In this way we can have a common implementation for the RandomFunctions. More...
class	RandomFunctions
class	RichardsonDerivator
	User class for calculating the derivatives of a function. More...
class	RootFinder
	User Class to find the Root of one dimensional functions. More...
class	StdRandomEngine
class	StdEngine
	Wrapper class for std::random generator to be included in ROOT. More...
class	TDataPoint
class	TDataPointN
class	RandomBaseEngine
class	TRandomEngine
class	LCGEngine
class	VirtualIntegrator
	Abstract class for all numerical integration methods (1D and multi-dim) Interface defining the common methods for the numerical integrator classes of one and multi dimensions The derived class VirtualIntegratorOneDim defines the methods for one-dimensional integration. 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	WrappedMemMultiFunction
class	WrappedParamFunction
	WrappedParamFunction class to wrap any multi-dimensional function pbject implementing the operator()(const double * x, const double * p) in an interface-like IParamFunction with a vector storing and caching internally the parameter values. 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	ChebyshevApprox
	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	GSLMinimizer
	GSLMinimizer class. More...
class	GSLMinimizer1D
	Minimizer for arbitrary one dimensional functions. More...
class	GSLMultiRootFinder
	Class for Multidimensional root finding algorithms bassed on GSL. 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	GSLQuasiRandomEngine
	GSLQuasiRandomEngine Base class for all GSL quasi random engines, normally user instantiate the derived classes which creates internally the generator and uses the class ROOT::Math::QuasiRandom. More...
class	GSLQRngSobol
	Sobol generator gsl_qrng_sobol from here More...
class	GSLQRngNiederreiter2
	Niederreiter generator gsl_qrng_niederreiter_2 from here More...
class	RandomFunctions< EngineType, ROOT::Math::GSLRandomEngine >
	Specialized implementation of the Random functions based on the GSL library. 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
	Old Ranlux generator (James, Luscher) (default luxury level, p = 223) (This is eequivalent to TRandom1 with default luxury level) see here More...
class	GSLRngRanLuxS1
	Second generation of Ranlux generator for single precision with luxury level of 1 (It throws away 202 values for every 12 used) see here More...
class	GSLRngRanLuxS2
	Second generation of Ranlux generator for Single precision with luxury level of 2 (It throws away 397 value for every 12 used) see here More...
class	GSLRngRanLuxD1
	Double precision (48 bits) version of Second generation of Ranlux generator with luxury level of 1 (It throws away 202 value for every 12 used) see here More...
class	GSLRngRanLuxD2
	Double precision (48 bits) version of Second generation of Ranlux generator with luxury level of 2 (It throws away 397 value for every 12 used) 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 FOr implementation of default parameters see file mathmore/src/GSLMCIntegrationWorkspace.h More...
struct	MiserParameters
	structures collecting parameters for MISER multidimensional integration More...
struct	PlainParameters
class	MultiNumGradFunction
	MultiNumGradFunction class to wrap a normal function in a gradient function using numerical gradient calculation provided by the class Derivator (based on GSL numerical derivation) More...
class	ParamFunction
	Base template class for all Parametric Functions. More...
struct	MathMoreLibrary
class	Polynomial
	Parametric Function class describing polynomials of order n. More...
class	QuasiRandom
	User class for MathMore random numbers template on the Engine type. More...
class	Vavilov
	Base class describing a Vavilov distribution. More...
class	VavilovAccurate
	Class describing a Vavilov distribution. More...
class	VavilovAccurateCdf
	Class describing the Vavilov cdf. More...
class	VavilovAccuratePdf
	Class describing the Vavilov pdf. More...
class	VavilovAccurateQuantile
	Class describing the Vavilov quantile function. More...
class	VavilovFast
	Class describing a Vavilov distribution. More...
class	GSL1DMinimizerWrapper
	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
	workspace for VEGAS More...
class	GSLMiserIntegrationWorkspace
	Workspace for MISER. More...
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 function with derivatives used in GSL multidim minimization algorithm. More...
class	GSLMultiMinimizer
	GSLMultiMinimizer class , for minimizing multi-dimensional function using derivatives. More...
class	GSLMultiRootFunctionAdapter
	Class for adapting a C++ functor class to C function pointers used by GSL MultiRoot Algorithm The templated C++ function class must implement: More...
class	GSLMultiRootFunctionWrapper
	wrapper to a multi-dim function without derivatives for multi roots algorithm More...
class	GSLMultiRootDerivFunctionWrapper
	wrapper to a multi-dim function with derivatives for multi roots algorithm More...
class	GSLMultiRootBaseSolver
	GSLMultiRootBaseSolver, internal class for implementing GSL multi-root finders This is the base class for GSLMultiRootSolver (solver not using derivatives) and GSLMUltiRootDerivSolver (solver using derivatives) More...
class	GSLMultiRootSolver
	GSLMultiRootSolver, internal class for implementing GSL multi-root finders not using derivatives. More...
class	GSLMultiRootDerivSolver
	GSLMultiRootDerivSolver, internal class for implementing GSL multi-root finders using derivatives. More...
class	GSLQRngWrapper
	GSLQRngWrapper class to wrap gsl_qrng structure. 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	VavilovTest
	Test class for class Vavilov and its subclasses. More...
class	RMinimizer
	RMinimizer class. More...
class	SVector
	SVector: a generic fixed size Vector class. More...
class	SMatrix
	SMatrix: a generic fixed size D1 x D2 Matrix class. 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	CholeskyDecomp
	class to compute the Cholesky decomposition of a matrix More...
class	CholeskyDecompGenDim
	class to compute the Cholesky decomposition of a matrix More...
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 Class to specialize calls to Dinv. More...
class	FastInverter
	Fast Matrix Inverter class 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	FastInverter< 3 >
	3x3 direct matrix inversion using Cramer Rule use only for FastInverter More...
class	FastInverter< 4 >
	4x4 matrix inversion using Cramers rule. More...
class	FastInverter< 5 >
	5x5 Matrix inversion using Cramers rule. More...
class	CholInverter
class	SDeterminant
	Dsfact. More...
class	SInverter
	Dsinv. More...
class	VecExpr
	Expression wrapper class for Vector objects. More...
class	MatRepStd
	Expression wrapper class for Matrix 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 >
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	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...
struct	RowOffsets
	Static structure to keep the conversion from (i,j) to offsets in the storage data for a symmetric matrix. More...
struct	SMatrixIdentity
struct	SMatrixNoInit
struct	CompileTimeChecker
struct	CompileTimeChecker< false >
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...

Typedefs
typedef PositionVector2D < Cartesian2D< double > , DefaultCoordinateSystemTag >	XYPoint
	2D Point based on the cartesian coordinates x,y,z in double precision More...
typedef XYPoint	XYPointD
typedef PositionVector2D < Cartesian2D< float > , DefaultCoordinateSystemTag >	XYPointF
	2D Point based on the cartesian corrdinates x,y,z in single precision More...
typedef PositionVector2D < Polar2D< double > , DefaultCoordinateSystemTag >	Polar2DPoint
	2D Point based on the polar coordinates rho, theta, phi in double precision. More...
typedef Polar2DPoint	Polar2DPointD
typedef PositionVector2D < Polar2D< float > , DefaultCoordinateSystemTag >	Polar2DPointF
	2D Point based on the polar coordinates rho, theta, phi in single precision. More...
typedef PositionVector3D < Cartesian3D< double > , DefaultCoordinateSystemTag >	XYZPoint
	3D Point based on the cartesian coordinates x,y,z in double precision More...
typedef PositionVector3D < Cartesian3D< float > , DefaultCoordinateSystemTag >	XYZPointF
	3D Point based on the cartesian corrdinates x,y,z in single precision More...
typedef XYZPoint	XYZPointD
typedef PositionVector3D < CylindricalEta3D< double > , DefaultCoordinateSystemTag >	RhoEtaPhiPoint
	3D Point based on the eta based cylindrical coordinates rho, eta, phi in double precision. More...
typedef PositionVector3D < CylindricalEta3D< float > , DefaultCoordinateSystemTag >	RhoEtaPhiPointF
	3D Point based on the eta based cylindrical coordinates rho, eta, phi in single precision. More...
typedef RhoEtaPhiPoint	RhoEtaPhiPointD
typedef PositionVector3D < Polar3D< double > , DefaultCoordinateSystemTag >	Polar3DPoint
	3D Point based on the polar coordinates rho, theta, phi in double precision. More...
typedef PositionVector3D < Polar3D< float > , DefaultCoordinateSystemTag >	Polar3DPointF
	3D Point based on the polar coordinates rho, theta, phi in single precision. More...
typedef Polar3DPoint	Polar3DPointD
typedef PositionVector3D < Cylindrical3D< double > , DefaultCoordinateSystemTag >	RhoZPhiPoint
	3D Point based on the cylindrical coordinates rho, z, phi in double precision. More...
typedef PositionVector3D < Cylindrical3D< float > , DefaultCoordinateSystemTag >	RhoZPhiPointF
	3D Point based on the cylindrical coordinates rho, z, phi in single precision. More...
typedef RhoZPhiPoint	RhoZPhiPointD
typedef DisplacementVector2D < Cartesian2D< double > , DefaultCoordinateSystemTag >	XYVector
	2D Vector based on the cartesian coordinates x,y in double precision More...
typedef XYVector	XYVectorD
typedef DisplacementVector2D < Cartesian2D< float > , DefaultCoordinateSystemTag >	XYVectorF
	2D Vector based on the cartesian coordinates x,y,z in single precision More...
typedef DisplacementVector2D < Polar2D< double > , DefaultCoordinateSystemTag >	Polar2DVector
	2D Vector based on the polar coordinates rho, phi in double precision. More...
typedef Polar2DVector	Polar2DVectorD
typedef DisplacementVector2D < Polar2D< float > , DefaultCoordinateSystemTag >	Polar2DVectorF
	2D Vector based on the polar coordinates rho, phi in single precision. More...
typedef DisplacementVector3D < Cartesian3D< double > , DefaultCoordinateSystemTag >	XYZVector
	3D Vector based on the cartesian coordinates x,y,z in double precision More...
typedef DisplacementVector3D < Cartesian3D< float > , DefaultCoordinateSystemTag >	XYZVectorF
	3D Vector based on the cartesian corrdinates x,y,z in single precision More...
typedef XYZVector	XYZVectorD
typedef DisplacementVector3D < CylindricalEta3D< double > , DefaultCoordinateSystemTag >	RhoEtaPhiVector
	3D Vector based on the eta based cylindrical coordinates rho, eta, phi in double precision. More...
typedef DisplacementVector3D < CylindricalEta3D< float > , DefaultCoordinateSystemTag >	RhoEtaPhiVectorF
	3D Vector based on the eta based cylindrical coordinates rho, eta, phi in single precision. More...
typedef RhoEtaPhiVector	RhoEtaPhiVectorD
typedef DisplacementVector3D < Polar3D< double > , DefaultCoordinateSystemTag >	Polar3DVector
	3D Vector based on the polar coordinates rho, theta, phi in double precision. More...
typedef DisplacementVector3D < Polar3D< float > , DefaultCoordinateSystemTag >	Polar3DVectorF
	3D Vector based on the polar coordinates rho, theta, phi in single precision. More...
typedef Polar3DVector	Polar3DVectorD
typedef DisplacementVector3D < Cylindrical3D< double > , DefaultCoordinateSystemTag >	RhoZPhiVector
	3D Vector based on the cylindrical coordinates rho, z, phi in double precision. More...
typedef DisplacementVector3D < Cylindrical3D< float > , DefaultCoordinateSystemTag >	RhoZPhiVectorF
	3D Vector based on the cylindrical coordinates rho, z, phi in single precision. More...
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 (-,-,-,+) More...
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 (-,-,-,+) More...
typedef LorentzVector < PxPyPzM4D< double > >	PxPyPzMVector
	LorentzVector based on the x, y, z, and Mass in double precision. More...
typedef LorentzVector < PtEtaPhiE4D< double > >	PtEtaPhiEVector
	LorentzVector based on the cylindrical coordinates Pt, eta, phi and E (rho, eta, phi, t) in double precision. More...
typedef LorentzVector < PtEtaPhiM4D< double > >	PtEtaPhiMVector
	LorentzVector based on the cylindrical coordinates pt, eta, phi and Mass in double precision. More...
typedef Plane3D::Scalar	Scalar
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 Random < ROOT::Math::MixMaxEngine >	RandomMixMax
	Useful typedef definitions. More...
typedef Random < ROOT::Math::MersenneTwisterEngine >	RandomMT19937
typedef TRandomEngine	DefaultEngineType
	Documentation for the RandomFunction class. More...
typedef TDataPoint< 1, Float_t >	TDataPoint1F
typedef TDataPoint< 2, Float_t >	TDataPoint2F
typedef TDataPoint< 3, Float_t >	TDataPoint3F
typedef TDataPoint< 1, Double_t >	TDataPoint1D
typedef TDataPoint< 2, Double_t >	TDataPoint2D
typedef TDataPoint< 3, Double_t >	TDataPoint3D
typedef double(*	FreeFunctionPtr )(double)
typedef double(*	FreeMultiFunctionPtr )(const double *)
typedef double(*	FreeParamMultiFunctionPtr )(const double *, const double *)
typedef std::map< std::string, ROOT::Math::GenAlgoOptions >	OptionsMap
typedef double(*	GSLFuncPointer )(double, void *)
	Function pointer corresponding to gsl_function signature. More...
typedef GSLMultiRootFinder	MultiRootFinder
typedef Random < ROOT::Math::GSLRngMT >	RandomMT
typedef Random < ROOT::Math::GSLRngTaus >	RandomTaus
typedef Random < ROOT::Math::GSLRngRanLux >	RandomRanLux
typedef Random < ROOT::Math::GSLRngGFSR4 >	RandomGFSR4
typedef GSLRngRanLuxS1	GSLRngRanLux1
typedef GSLRngRanLuxS2	GSLRngRanLux2
typedef GSLRngRanLuxD2	GSLRngRanLux48
typedef QuasiRandom < ROOT::Math::GSLQRngSobol >	QuasiRandomSobol
typedef QuasiRandom < ROOT::Math::GSLQRngNiederreiter2 >	QuasiRandomNiederreiter
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. More...
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 double(*	GSLMultiRootFPointer )(const gsl_vector *, void *, gsl_vector *)
typedef void(*	GSLMultiRootDfPointer )(const gsl_vector *, void *, gsl_matrix *)
typedef void(*	GSLMultiRootFdfPointer )(const gsl_vector *, void *, gsl_vector *, gsl_matrix *)
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	EMinimVariableType {   kDefault, kFix, kBounds, kLowBound,   kUpBound }
	Enumeration describing the status of the variable The enumeration are used in the minimizer classes to categorize the variables. More...
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. More...
AxisAngle	operator* (RotationX const &r1, AxisAngle const &r2)
	Multiplication of an axial rotation by an AxisAngle. More...
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. More...
std::ostream &	operator<< (std::ostream &os, const Boost &b)
	Stream Output and Input. More...
std::ostream &	operator<< (std::ostream &os, const BoostX &b)
	Stream Output and Input. More...
std::ostream &	operator<< (std::ostream &os, const BoostY &b)
	Stream Output and Input. More...
std::ostream &	operator<< (std::ostream &os, const BoostZ &b)
	Stream Output and Input. More...
template<class CoordSystem1 , class CoordSystem2 , class U >
DisplacementVector2D < CoordSystem1, U >	operator+ (DisplacementVector2D< CoordSystem1, U > v1, const DisplacementVector2D< CoordSystem2, U > &v2)
	Addition of DisplacementVector2D vectors. More...
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. More...
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. More...
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. More...
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. More...
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. More...
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. More...
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. More...
template<class R >
EulerAngles::Scalar	Distance (const EulerAngles &r1, const R &r2)
	Distance between two rotations. More...
EulerAngles	operator* (RotationX const &r1, EulerAngles const &r2)
	Multiplication of an axial rotation by an AxisAngle. More...
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. More...
void	Throw (GenVector_exception &e)
	throw explicity GenVector exceptions More...
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. More...
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. More...
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. More...
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. More...
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. More...
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. More...
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. More...
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. More...
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. More...
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. More...
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. More...
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. More...
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. More...
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. More...
Quaternion	operator* (RotationX const &r1, Quaternion const &r2)
	Multiplication of an axial rotation by an AxisAngle. More...
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. More...
template<class R >
Rotation3D::Scalar	Distance (const Rotation3D &r1, const R &r2)
	Distance between two rotations. More...
Rotation3D	operator* (RotationX const &r1, Rotation3D const &r2)
	Multiplication of an axial rotation by a Rotation3D. More...
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. More...
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. More...
template<class R >
RotationX::Scalar	Distance (const RotationX &r1, const R &r2)
	Distance between two rotations. More...
std::ostream &	operator<< (std::ostream &os, const RotationX &r)
	Stream Output and Input. More...
template<class R >
RotationY::Scalar	Distance (const RotationY &r1, const R &r2)
	Distance between two rotations. More...
std::ostream &	operator<< (std::ostream &os, const RotationY &r)
	Stream Output and Input. More...
template<class R >
RotationZ::Scalar	Distance (const RotationZ &r1, const R &r2)
	Distance between two rotations. More...
std::ostream &	operator<< (std::ostream &os, const RotationZ &r)
	Stream Output and Input. More...
template<class R >
RotationZYX::Scalar	Distance (const RotationZYX &r1, const R &r2)
	Distance between two rotations. More...
RotationZYX	operator* (RotationX const &r1, RotationZYX const &r2)
	Multiplication of an axial rotation by an AxisAngle. More...
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. More...
Transform3D	operator* (const Rotation3D &r, const Translation3D &t)
	combine a translation and a rotation to give a transform3d First the translation then the rotation More...
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 More...
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 More...
Transform3D	operator* (const Translation3D &d, const Transform3D &t)
	combine a translation and a transformation to give a transform3d First the transformation then the translation More...
Transform3D	operator* (const Transform3D &t, const Rotation3D &r)
	combine a transformation and a rotation to give a transform3d First the rotation then the transform3D More...
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 More...
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 More...
std::ostream &	operator<< (std::ostream &os, const Translation3D &t)
static void	swap (double &a, double &b)
double	Chebyshev0 (double, double c0)
double	Chebyshev1 (double x, double c0, double c1)
double	Chebyshev2 (double x, double c0, double c1, double c2)
double	Chebyshev3 (double x, double c0, double c1, double c2, double c3)
double	Chebyshev4 (double x, double c0, double c1, double c2, double c3, double c4)
double	Chebyshev5 (double x, double c0, double c1, double c2, double c3, double c4, double c5)
double	Chebyshev6 (double x, double c0, double c1, double c2, double c3, double c4, double c5, double c6)
double	Chebyshev7 (double x, double c0, double c1, double c2, double c3, double c4, double c5, double c6, double c7)
double	Chebyshev8 (double x, double c0, double c1, double c2, double c3, double c4, double c5, double c6, double c7, double c8)
double	Chebyshev9 (double x, double c0, double c1, double c2, double c3, double c4, double c5, double c6, double c7, double c8, double c9)
double	Chebyshev10 (double x, double c0, double c1, double c2, double c3, double c4, double c5, double c6, double c7, double c8, double c9, double c10)
double	ChebyshevN (unsigned int n, double x, const double *c)
double	Pi ()
	Mathematical constants. More...
double	log1p (double x)
	declarations for functions which are not implemented by some compilers More...
double	expm1 (double x)
	exp(x) -1 with error cancellation when x is small More...
double	beta_cdf_c (double x, double a, double b)
	Complement of the cumulative distribution function of the beta distribution. More...
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. More...
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 ) More...
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 ) More...
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. More...
double	cauchy_cdf (double x, double b, double x0=0)
	Cumulative distribution function (lower tail) of the Cauchy distribution which is also Lorentzian distribution. More...
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). More...
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). More...
double	crystalball_cdf (double x, double alpha, double n, double sigma, double x0=0)
	Cumulative distribution for the Crystal Ball distribution function. More...
double	crystalball_cdf_c (double x, double alpha, double n, double sigma, double x0=0)
	Complement of the Cumulative distribution for the Crystal Ball distribution. More...
double	crystalball_integral (double x, double alpha, double n, double sigma, double x0=0)
	Integral of the not-normalized Crystal Ball function. More...
double	exponential_cdf_c (double x, double lambda, double x0=0)
	Complement of the cumulative distribution function of the exponential distribution (upper tail). More...
double	exponential_cdf (double x, double lambda, double x0=0)
	Cumulative distribution function of the exponential distribution (lower tail). More...
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). More...
double	fdistribution_cdf (double x, double n, double m, double x0=0)
	Cumulative distribution function of the F-distribution (lower tail). More...
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). More...
double	gamma_cdf (double x, double alpha, double theta, double x0=0)
	Cumulative distribution function of the gamma distribution (lower tail). More...
double	landau_cdf (double x, double xi=1, double x0=0)
	Cumulative distribution function of the Landau distribution (lower tail). More...
double	landau_cdf_c (double x, double xi=1, double x0=0)
	Complement of the distribution function of the Landau distribution (upper tail). More...
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). More...
double	lognormal_cdf (double x, double m, double s, double x0=0)
	Cumulative distribution function of the lognormal distribution (lower tail). More...
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). More...
double	gaussian_cdf_c (double x, double sigma=1, double x0=0)
	Alternative name for same function. More...
double	normal_cdf (double x, double sigma=1, double x0=0)
	Cumulative distribution function of the normal (Gaussian) distribution (lower tail). More...
double	gaussian_cdf (double x, double sigma=1, double x0=0)
	Alternative name for same function. More...
double	tdistribution_cdf_c (double x, double r, double x0=0)
	Complement of the cumulative distribution function of Student's t-distribution (upper tail). More...
double	tdistribution_cdf (double x, double r, double x0=0)
	Cumulative distribution function of Student's t-distribution (lower tail). More...
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). More...
double	uniform_cdf (double x, double a, double b, double x0=0)
	Cumulative distribution function of the uniform (flat) distribution (lower tail). More...
double	poisson_cdf_c (unsigned int n, double mu)
	Complement of the cumulative distribution function of the Poisson distribution. More...
double	poisson_cdf (unsigned int n, double mu)
	Cumulative distribution function of the Poisson distribution Lower tail of the integral of the poisson_pdf. More...
double	binomial_cdf_c (unsigned int k, double p, unsigned int n)
	Complement of the cumulative distribution function of the Binomial distribution. More...
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. More...
double	negative_binomial_cdf_c (unsigned int k, double p, double n)
	Complement of the cumulative distribution function of the Negative Binomial distribution. More...
double	negative_binomial_cdf (unsigned int k, double p, double n)
	Cumulative distribution function of the Negative Binomial distribution Lower tail of the integral of the negative_binomial_pdf. More...
double	landau_xm1 (double x, double xi=1, double x0=0)
	First moment (mean) of the truncated Landau distribution. More...
double	landau_xm2 (double x, double xi=1, double x0=0)
	Second moment of the truncated Landau distribution. More...
int	getCount (double z, const double *dat, int n)
int	getSum (const int *x, int n)
void	adkTestStat (double *adk, const std::vector< std::vector< double > > &samples, const std::vector< double > &zstar)
double	Polynomialeval (double x, double *a, unsigned int N)
double	Polynomial1eval (double x, double *a, unsigned int N)
double	noncentral_chisquared_pdf (double x, double r, double lambda)
	Probability density function of the non central \(\chi^2\) distribution with \(r\) degrees of freedom and the noon-central parameter \(\lambda\). More...
double	vavilov_accurate_pdf (double x, double kappa, double beta2)
	The Vavilov probability density function. More...
double	vavilov_accurate_cdf (double x, double kappa, double beta2)
	The Vavilov cummulative probability density function. More...
double	vavilov_accurate_cdf_c (double x, double kappa, double beta2)
	The Vavilov complementary cummulative probability density function. More...
double	vavilov_accurate_quantile (double z, double kappa, double beta2)
	The inverse of the Vavilov cummulative probability density function. More...
double	vavilov_accurate_quantile_c (double z, double kappa, double beta2)
	The inverse of the complementary Vavilov cummulative probability density function. More...
double	vavilov_fast_pdf (double x, double kappa, double beta2)
	The Vavilov probability density function. More...
double	vavilov_fast_cdf (double x, double kappa, double beta2)
	The Vavilov cummulative probability density function. More...
double	vavilov_fast_cdf_c (double x, double kappa, double beta2)
	The Vavilov complementary cummulative probability density function. More...
double	vavilov_fast_quantile (double z, double kappa, double beta2)
	The inverse of the Vavilov cummulative probability density function. More...
double	vavilov_fast_quantile_c (double z, double kappa, double beta2)
	The inverse of the complementary Vavilov cummulative probability density function. More...
const gsl_multiroot_fsolver_type *	GetGSLType (GSLMultiRootFinder::EType type)
const gsl_multiroot_fdfsolver_type *	GetGSLDerivType (GSLMultiRootFinder::EDerivType type)
static double	myRound (double x, double y, double &xmantissa, int digits)
double	myRound (double x, double y, int digits)
static std::string	format (double x, double y, int digits, int width)
static void	moments (ROOT::Math::Vavilov &v, double &integral, double &mean, double &variance, double &skewness, double &kurtosis)
double	minfunction (const std::vector< double > &x)
	function to return the function values at point x More...
TVectorD	mingradfunction (TVectorD y)
	function to return the gradient values at point y More...
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. More...
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. More...
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. More...
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. More...
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, R2 > &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. More...
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. More...
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. More...
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. More...
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. More...
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. More...
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. More...
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. More...
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. More...
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. More...
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. More...
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. More...
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. More...
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. More...
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. More...
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. More...
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. More...
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. More...
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. More...
template<class Matrix , unsigned int n, unsigned int idim>
bool	Dfinv (Matrix &rhs, unsigned int *ir)
	Dfinv. More...
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 More...
template<class T >
const T	Maximum (const T &lhs, const T &rhs)
	maximum. More...
template<class T >
const T	Minimum (const T &lhs, const T &rhs)
	minimum. More...
template<class T >
int	Round (const T &x)
	round. More...
template<class T >
int	Sign (const T &x)
	sign. More...
template<class T , unsigned int D>
T	Dot (const SVector< T, D > &lhs, const SVector< T, D > &rhs)
	Vector dot product. More...
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 \(|\vec{v}|^2 = \sum_iv_i^2 \). More...
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 : \( |\vec{v}| = \sqrt{\sum_iv_i^2} \). More...
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 \( |\vec{v}|^2 = v_0^2 - v_1^2 - v_2^2 -v_3^2 \). More...
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: \( |\vec{v}| = \sqrt{v_0^2 - v_1^2 - v_2^2 -v_3^2} \). More...
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) \( \vec{c} = \vec{a}\times\vec{b} \). More...
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. More...
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. More...
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. More...
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. More...
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 \( s = \sum_{i,j} v(i) * A(i,j) * v(j)\). More...
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: \( B(i,j) = \sum_{k,l} U(i,k) * A(k,l) * U(j,l) \). More...
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: \( B(i,j) = \sum_{k,l} U(k,i) * A(k,l) * U(l,j) \). More...
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. More...
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 D>
bool	SolveChol (SMatrix< T, D, D, MatRepSym< T, D > > &mat, SVector< T, D > &vec)
template<class T , unsigned int D>
SVector< T, D >	SolveChol (const SMatrix< T, D, D, MatRepSym< T, D > > &mat, const SVector< T, D > &vec, int &ifail)
	same function as before but not overwriting the matrix and returning a copy of the vector (this is the slow version) More...
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 . More...
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. More...
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 More...
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 More...
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) . More...
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 More...
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 More...
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 More...
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. More...
double	binomial_pdf (unsigned int k, double p, unsigned int n)
	Probability density function of the binomial distribution. More...
double	negative_binomial_pdf (unsigned int k, double p, double n)
	Probability density function of the negative binomial distribution. More...
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 ) More...
double	cauchy_pdf (double x, double b=1, double x0=0)
	Probability density function of the Cauchy distribution which is also called Lorentzian distribution. More...
double	chisquared_pdf (double x, double r, double x0=0)
	Probability density function of the \(\chi^2\) distribution with \(r\) degrees of freedom. More...
double	crystalball_function (double x, double alpha, double n, double sigma, double x0=0)
	Crystal ball function. More...
double	crystalball_pdf (double x, double alpha, double n, double sigma, double x0=0)
	pdf definition of the crystal_ball which is defined only for n > 1 otehrwise integral is diverging More...
double	exponential_pdf (double x, double lambda, double x0=0)
	Probability density function of the exponential distribution. More...
double	fdistribution_pdf (double x, double n, double m, double x0=0)
	Probability density function of the F-distribution. More...
double	gamma_pdf (double x, double alpha, double theta, double x0=0)
	Probability density function of the gamma distribution. More...
double	gaussian_pdf (double x, double sigma=1, double x0=0)
	Probability density function of the normal (Gaussian) distribution. More...
double	bigaussian_pdf (double x, double y, double sigmax=1, double sigmay=1, double rho=0, double x0=0, double y0=0)
	Probability density function of the bi-dimensional (Gaussian) distribution. More...
double	landau_pdf (double x, double xi=1, double x0=0)
	Probability density function of the Landau distribution: \[ p(x) = \frac{1}{\xi} \phi (\lambda) \] with \[ \phi(\lambda) = \frac{1}{2 \pi i}\int_{c-i\infty}^{c+i\infty} e^{\lambda s + s \log{s}} ds\] where \(\lambda = (x-x_0)/\xi\). More...
double	lognormal_pdf (double x, double m, double s, double x0=0)
	Probability density function of the lognormal distribution. More...
double	normal_pdf (double x, double sigma=1, double x0=0)
	Probability density function of the normal (Gaussian) distribution. More...
double	poisson_pdf (unsigned int n, double mu)
	Probability density function of the Poisson distribution. More...
double	tdistribution_pdf (double x, double r, double x0=0)
	Probability density function of Student's t-distribution. More...
double	uniform_pdf (double x, double a, double b, double x0=0)
	Probability density function of the uniform (flat) distribution. More...
Quantile Functions from MathCore
The implementation is provided in MathCore and for the majority of the function comes from Cephes.
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). More...
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). More...
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. More...
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. More...
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. More...
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. More...
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). More...
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). More...
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). More...
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). More...
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). More...
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). More...
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). More...
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). More...
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). More...
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). More...
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). More...
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). More...
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). More...
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). More...
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). More...
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). More...
double	landau_quantile (double z, double xi=1)
	Inverse ( \(D^{-1}(z)\)) of the cumulative distribution function of the lower tail of the Landau distribution (landau_cdf). More...
double	landau_quantile_c (double z, double xi=1)
	Inverse ( \(D^{-1}(z)\)) of the cumulative distribution function of the upper tail of the landau distribution (landau_cdf_c). More...
Special Functions from MathCore
double	erf (double x)
	Error function encountered in integrating the normal distribution. More...
double	erfc (double x)
	Complementary error function. More...
double	tgamma (double x)
	The gamma function is defined to be the extension of the factorial to real numbers. More...
double	lgamma (double x)
	Calculates the logarithm of the gamma function. More...
double	inc_gamma (double a, double x)
	Calculates the normalized (regularized) lower incomplete gamma function (lower integral) More...
double	inc_gamma_c (double a, double x)
	Calculates the normalized (regularized) upper incomplete gamma function (upper integral) More...
double	beta (double x, double y)
	Calculates the beta function. More...
double	inc_beta (double x, double a, double b)
	Calculates the normalized (regularized) incomplete beta function. More...
double	sinint (double x)
	Calculates the sine integral. More...
double	cosint (double x)
	Calculates the real part of the cosine integral (Ci). More...
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). More...
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). More...
Special Functions from MathMore
double	assoc_laguerre (unsigned n, double m, double x)
	Computes the generalized Laguerre polynomials for \( n \geq 0, m > -1 \). More...
double	assoc_legendre (unsigned l, unsigned m, double x)
	Computes the associated Legendre polynomials. More...
double	comp_ellint_1 (double k)
	Calculates the complete elliptic integral of the first kind. More...
double	comp_ellint_2 (double k)
	Calculates the complete elliptic integral of the second kind. More...
double	comp_ellint_3 (double n, double k)
	Calculates the complete elliptic integral of the third kind. More...
double	conf_hyperg (double a, double b, double z)
	Calculates the confluent hypergeometric functions of the first kind. More...
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. More...
double	cyl_bessel_i (double nu, double x)
	Calculates the modified Bessel function of the first kind (also called regular modified (cylindrical) Bessel function). More...
double	cyl_bessel_j (double nu, double x)
	Calculates the (cylindrical) Bessel functions of the first kind (also called regular (cylindrical) Bessel functions). More...
double	cyl_bessel_k (double nu, double x)
	Calculates the modified Bessel functions of the second kind (also called irregular modified (cylindrical) Bessel functions). More...
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). More...
double	ellint_1 (double k, double phi)
	Calculates the incomplete elliptic integral of the first kind. More...
double	ellint_2 (double k, double phi)
	Calculates the complete elliptic integral of the second kind. More...
double	ellint_3 (double n, double k, double phi)
	Calculates the complete elliptic integral of the third kind. More...
double	expint (double x)
	Calculates the exponential integral. More...
double	hyperg (double a, double b, double c, double x)
	Calculates Gauss' hypergeometric function. More...
double	laguerre (unsigned n, double x)
	Calculates the Laguerre polynomials. More...
double	legendre (unsigned l, double x)
	Calculates the Legendre polynomials. More...
double	riemann_zeta (double x)
	Calculates the Riemann zeta function. More...
double	sph_bessel (unsigned n, double x)
	Calculates the spherical Bessel functions of the first kind (also called regular spherical Bessel functions). More...
double	sph_legendre (unsigned l, unsigned m, double theta)
	Computes the spherical (normalized) associated Legendre polynomials, or spherical harmonic without azimuthal dependence ( \(e^(im\phi)\)). More...
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). More...
double	airy_Ai (double x)
	Calculates the Airy function Ai. More...
double	airy_Bi (double x)
	Calculates the Airy function Bi. More...
double	airy_Ai_deriv (double x)
	Calculates the derivative of the Airy function Ai. More...
double	airy_Bi_deriv (double x)
	Calculates the derivative of the Airy function Bi. More...
double	airy_zero_Ai (unsigned int s)
	Calculates the zeroes of the Airy function Ai. More...
double	airy_zero_Bi (unsigned int s)
	Calculates the zeroes of the Airy function Bi. More...
double	airy_zero_Ai_deriv (unsigned int s)
	Calculates the zeroes of the derivative of the Airy function Ai. More...
double	airy_zero_Bi_deriv (unsigned int s)
	Calculates the zeroes of the derivative of the Airy function Bi. More...
double	wigner_3j (int two_ja, int two_jb, int two_jc, int two_ma, int two_mb, int two_mc)
	Calculates the Wigner 3j coupling coefficients. More...
double	wigner_6j (int two_ja, int two_jb, int two_jc, int two_jd, int two_je, int two_jf)
	Calculates the Wigner 6j coupling coefficients. More...
double	wigner_9j (int two_ja, int two_jb, int two_jc, int two_jd, int two_je, int two_jf, int two_jg, int two_jh, int two_ji)
	Calculates the Wigner 9j coupling coefficients. More...

Variables
static int	gDefaultNpx = 100
static int	gDefaultNSearch = 10
static int	gDefaultNpx = 100
static int	gDefaultNSearch = 10
static const double	kSqrt2 = 1.41421356237309515
int	gDefaultMaxIter = 100
double	gDefaultAbsTolerance = 1.E-6
double	gDefaultRelTolerance = 1.E-10
double	kPi = 3.14159265358979323846
double	kEulerGamma = 0.577215664901532860606512090082402431042
static const double	eu = 0.577215664901532860606
static const double	eu = 0.577215664901532860606
static double	vavilovPdfValues0 [45][12]
static double	vavilovPdfValues1 [42][12]
static double	vavilovPdfValues2 [41][12]
static double	vavilovPdfValues3 [41][12]
static double	vavilovPdfValues4 [28][12]
static double	vavilovPdfValues5 [22][12]
static double	vavilovPdfValues6 [19][12]
static double	vavilovPdfValues7 [20][12]
static double	vavilovPdfValues8 [21][12]
static double	vavilovPdfValues9 [21][12]
static double(*[10]	vavilovPdfValues )[12] ={vavilovPdfValues0, vavilovPdfValues1, vavilovPdfValues2, vavilovPdfValues3, vavilovPdfValues4, vavilovPdfValues5, vavilovPdfValues6, vavilovPdfValues7, vavilovPdfValues8, vavilovPdfValues9}
static double	vavilovKappaValues [10] = {.01, .04, .07, .1, .4, .7, 1, 4, 7, 10}
static int	vavilovNLambda [10] = {45, 42, 41, 41, 28, 22, 19, 20, 21, 21}
const ROOT::Math::IMultiGenFunction *	gFunction
	function wrapper for the function to be minimized More...
const ROOT::Math::IMultiGradFunction *	gGradFunction
	function wrapper for the gradient of the function to be minimized More...
int	gNCalls = 0
	integer for the number of function calls More...

Typedef Documentation

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

Definition at line 57 of file Fitter.h.

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

Definition at line 61 of file Fitter.h.

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

Definition at line 41 of file WrappedFunction.h.

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

Definition at line 43 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 *)

Function pointer corresponding to gsl_function signature.

Definition at line 45 of file GSLFunctionAdapter.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 void( * ROOT::Math::GSLMultiRootDfPointer)(const gsl_vector *, void *, gsl_matrix *)

Definition at line 49 of file GSLMultiRootFunctionWrapper.h.

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

Definition at line 50 of file GSLMultiRootFunctionWrapper.h.

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

Definition at line 48 of file GSLMultiRootFunctionWrapper.h.

typedef GSLRngRanLuxS1 ROOT::Math::GSLRngRanLux1

Definition at line 320 of file GSLRndmEngines.h.

typedef GSLRngRanLuxS2 ROOT::Math::GSLRngRanLux2

Definition at line 335 of file GSLRndmEngines.h.

typedef GSLRngRanLuxD2 ROOT::Math::GSLRngRanLux48

Definition at line 364 of file GSLRndmEngines.h.

typedef IBaseFunctionOneDim ROOT::Math::IGenFunction

Definition at line 24 of file IFunctionfwd.h.

typedef IGradientFunctionOneDim ROOT::Math::IGradFunction

Definition at line 30 of file IFunctionfwd.h.

typedef IBaseFunctionMultiDim ROOT::Math::IMultiGenFunction

Definition at line 28 of file IFunctionfwd.h.

typedef IGradientFunctionMultiDim ROOT::Math::IMultiGradFunction

Definition at line 31 of file IFunctionfwd.h.

typedef GSLIntegrator ROOT::Math::Integrator

Definition at line 484 of file Integrator.h.

typedef IParametricFunctionOneDim ROOT::Math::IParamFunction

Definition at line 27 of file IParamFunctionfwd.h.

typedef IParametricGradFunctionOneDim ROOT::Math::IParamGradFunction

Definition at line 32 of file IParamFunctionfwd.h.

typedef IParametricFunctionMultiDim ROOT::Math::IParamMultiFunction

Definition at line 30 of file IParamFunctionfwd.h.

typedef IParametricGradFunctionMultiDim ROOT::Math::IParamMultiGradFunction

Definition at line 33 of file IParamFunctionfwd.h.

typedef GSLMultiRootFinder ROOT::Math::MultiRootFinder

Definition at line 294 of file GSLMultiRootFinder.h.

typedef std::map<std::string, ROOT::Math::GenAlgoOptions > ROOT::Math::OptionsMap

Definition at line 24 of file GenAlgoOptions.cxx.

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 QuasiRandom<ROOT::Math::GSLQRngNiederreiter2> ROOT::Math::QuasiRandomNiederreiter

Definition at line 181 of file QuasiRandom.h.

typedef QuasiRandom<ROOT::Math::GSLQRngSobol> ROOT::Math::QuasiRandomSobol

Definition at line 180 of file QuasiRandom.h.

typedef Random<ROOT::Math::GSLRngGFSR4> ROOT::Math::RandomGFSR4

Definition at line 14 of file GSLRandom.h.

typedef Random<ROOT::Math::MixMaxEngine> ROOT::Math::RandomMixMax

Useful typedef definitions.

Definition at line 220 of file Random.h.

typedef Random<ROOT::Math::GSLRngMT> ROOT::Math::RandomMT

Definition at line 11 of file GSLRandom.h.

typedef Random<ROOT::Math::MersenneTwisterEngine> ROOT::Math::RandomMT19937

Definition at line 221 of file Random.h.

typedef Random<ROOT::Math::GSLRngRanLux> ROOT::Math::RandomRanLux

Definition at line 13 of file GSLRandom.h.

typedef Random<ROOT::Math::GSLRngTaus> ROOT::Math::RandomTaus

Definition at line 12 of file GSLRandom.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 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 TDataPoint<1,Double_t> ROOT::Math::TDataPoint1D

Definition at line 60 of file TDataPoint.h.

typedef TDataPoint<1,Float_t> ROOT::Math::TDataPoint1F

Definition at line 57 of file TDataPoint.h.

typedef TDataPoint<2,Double_t> ROOT::Math::TDataPoint2D

Definition at line 61 of file TDataPoint.h.

typedef TDataPoint<2,Float_t> ROOT::Math::TDataPoint2F

Definition at line 58 of file TDataPoint.h.

typedef TDataPoint<3,Double_t> ROOT::Math::TDataPoint3D

Definition at line 62 of file TDataPoint.h.

typedef TDataPoint<3,Float_t> ROOT::Math::TDataPoint3F

Definition at line 59 of file TDataPoint.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

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

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::EMinimVariableType

Enumeration describing the status of the variable The enumeration are used in the minimizer classes to categorize the variables.

Enumerator
kDefault
kFix
kBounds
kLowBound
kUpBound

Definition at line 29 of file MinimTransformVariable.h.

enum ROOT::Math::ERotation3DMatrixIndex

Enumerator
kXX
kXY
kXZ
kYX
kYY
kYZ
kZX
kZY
kZZ

Definition at line 64 of file AxisAngle.cxx.

Function Documentation

void ROOT::Math::adkTestStat	(	double *	adk,
		const std::vector< std::vector< double > > &	samples,
		const std::vector< double > &	zstar
	)

Definition at line 546 of file GoFTest.cxx.

Referenced by ROOT::Math::GoFTest::AndersonDarling2SamplesTest().

double ROOT::Math::Chebyshev0 ( double  , double  c0  )

inline

Definition at line 57 of file ChebyshevPol.h.

Referenced by ChebyshevN().

double ROOT::Math::Chebyshev1 ( double  x, double  c0, double  c1  )

inline

Definition at line 60 of file ChebyshevPol.h.

Referenced by ChebyshevN().

double ROOT::Math::Chebyshev10 ( double  x, double  c0, double  c1, double  c2, double  c3, double  c4, double  c5, double  c6, double  c7, double  c8, double  c9, double  c10  )

inline

Definition at line 87 of file ChebyshevPol.h.

double ROOT::Math::Chebyshev2 ( double  x, double  c0, double  c1, double  c2  )

inline

Definition at line 63 of file ChebyshevPol.h.

Referenced by Chebyshev3(), and ChebyshevN().

double ROOT::Math::Chebyshev3 ( double  x, double  c0, double  c1, double  c2, double  c3  )

inline

Definition at line 66 of file ChebyshevPol.h.

Referenced by Chebyshev4(), and ChebyshevN().

double ROOT::Math::Chebyshev4 ( double  x, double  c0, double  c1, double  c2, double  c3, double  c4  )

inline

Definition at line 69 of file ChebyshevPol.h.

Referenced by Chebyshev5(), and ChebyshevN().

double ROOT::Math::Chebyshev5 ( double  x, double  c0, double  c1, double  c2, double  c3, double  c4, double  c5  )

inline

Definition at line 72 of file ChebyshevPol.h.

Referenced by Chebyshev6(), and ChebyshevN().

double ROOT::Math::Chebyshev6 ( double  x, double  c0, double  c1, double  c2, double  c3, double  c4, double  c5, double  c6  )

inline

Definition at line 75 of file ChebyshevPol.h.

Referenced by Chebyshev7().

double ROOT::Math::Chebyshev7 ( double  x, double  c0, double  c1, double  c2, double  c3, double  c4, double  c5, double  c6, double  c7  )

inline

Definition at line 78 of file ChebyshevPol.h.

Referenced by Chebyshev8().

double ROOT::Math::Chebyshev8 ( double  x, double  c0, double  c1, double  c2, double  c3, double  c4, double  c5, double  c6, double  c7, double  c8  )

inline

Definition at line 81 of file ChebyshevPol.h.

Referenced by Chebyshev9().

double ROOT::Math::Chebyshev9 ( double  x, double  c0, double  c1, double  c2, double  c3, double  c4, double  c5, double  c6, double  c7, double  c8, double  c9  )

inline

Definition at line 84 of file ChebyshevPol.h.

Referenced by Chebyshev10().

double ROOT::Math::ChebyshevN ( unsigned int  n, double  x, const double *  c  )

inline

Definition at line 93 of file ChebyshevPol.h.

Referenced by ROOT::Math::ChebyshevPol::operator()().

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.

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.

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.

template<class Matrix , unsigned int n, unsigned int idim>

bool ROOT::Math::Dfactir	(	Matrix &	rhs,
		typename Matrix::value_type &	det,
		unsigned int *	ir
	)

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
	)

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.

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 RotationY.h.

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 RotationZ.h.

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 RotationX.h.

template<class R >

AxisAngle::Scalar ROOT::Math::Distance ( const AxisAngle &  r1, const R &  r2  )

inline

Distance between two rotations.

Definition at line 326 of file AxisAngle.h.

Referenced by TGLH2PolyPainter::DrawExtrusion(), TKDTree< Index, Value >::UpdateNearestNeighbors(), and TKDTree< Index, Value >::UpdateRange().

template<class R >

Quaternion::Scalar ROOT::Math::Distance ( const Quaternion &  r1, const R &  r2  )

inline

Distance between two rotations.

Definition at line 334 of file Quaternion.h.

template<class R >

RotationZYX::Scalar ROOT::Math::Distance ( const RotationZYX &  r1, const R &  r2  )

inline

Distance between two rotations.

Definition at line 345 of file RotationZYX.h.

template<class R >

EulerAngles::Scalar ROOT::Math::Distance ( const EulerAngles &  r1, const R &  r2  )

inline

Distance between two rotations.

Definition at line 362 of file EulerAngles.h.

template<class R >

Rotation3D::Scalar ROOT::Math::Distance ( const Rotation3D &  r1, const R &  r2  )

inline

Distance between two rotations.

Definition at line 496 of file Rotation3D.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 909 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 921 of file BinaryOperators.h.

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 933 of file BinaryOperators.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 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 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 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.

Referenced by TEveCaloDataVec::AddTower(), TEveCaloData::CellGeom_t::Configure(), TEveCalo2DGL::DrawRhoZ(), TEveCaloDataVec::GetCellList(), TEveCaloDataHist::GetCellList(), TEveCalo3DGL::RenderGrid(), TEveCalo3DGL::RenderGridBarrel(), and TEveCalo3DGL::RenderGridEndCap().

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 86 of file Math.h.

Referenced by exponential_cdf().

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 133 of file UnaryOperators.h.

Referenced by RooHist::addBin(), RooNumRunningInt::RICacheElem::addRange(), RooCurve::addRange(), RooStats::SPlot::AddSWeight(), RooDataHist::adjustBinning(), RooCBShape::analyticalIntegral(), RooMultiVarGaussian::analyticalIntegral(), RooNDKeysPdf::analyticalIntegral(), RooHistFunc::areIdentical(), RooHistPdf::areIdentical(), RooUnitTest::areTHidentical(), ROOT::Math::KelvinFunctions::Bei(), ROOT::Math::KelvinFunctions::Ber(), TMath::BesselJ0(), TMath::BesselJ1(), TMVA::MethodMLP::BFGSMinimize(), RooGExpModel::calcDecayConv(), ROOT::Math::GaussLegendreIntegrator::CalcGaussLegendreSamplingPoints(), RooGExpModel::calcSinConvNorm(), RooIntegralMorph::MorphCacheElem::calculate(), RooStats::HypoTestInverterResult::CalculateEstimatedError(), ROOT::Math::VavilovTest::CdfTest(), CheckBasicTreeProperties(), CheckNearestNeighborSearches(), ClassImp(), ROOT::Minuit2::MnContours::Contour(), ROOT::Math::gv_detail::convert(), correctTicks(), ROOT::Fit::FitConfig::CreateParamsSettings(), ROOT::Math::CylindricalEta3D< T >::CylindricalEta3D(), ROOT::Math::KelvinFunctions::DBei(), ROOT::Math::KelvinFunctions::DBer(), ROOT::Minuit2::HessianGradientCalculator::DeltaGradient(), ROOT::Math::RichardsonDerivator::DerivativeForward(), ROOT::Math::Quaternion::Distance(), ROOT::Math::KelvinFunctions::DKei(), ROOT::Math::KelvinFunctions::DKer(), DoNewMinimization(), ROOT::Math::VavilovAccurate::E1plLog(), equals(), ErrorIntegral(), ROOT::Math::Impl::Eta_FromRhoZ(), RooStats::HypoTestInverter::Eval(), RooCBShape::evaluate(), RooTruthModel::evaluate(), ROOT::Minuit2::FumiliStandardMaximumLikelihoodFCN::EvaluateAll(), RooNLLVar::evaluatePartition(), RooAbsPdf::extendedTerm(), RooIntegrator1D::extrapolate(), ROOT::Math::KelvinFunctions::F1(), ROOT::Math::KelvinFunctions::F2(), vdt::fast_asin(), vdt::fast_asinf(), vdt::fast_atan(), vdt::fast_atan2(), vdt::fast_atan2f(), vdt::fast_atanf(), vdt::fast_inv_general(), vdt::fast_invf_general(), RooIntegralMorph::MorphCacheElem::fillGap(), findBin(), RooStats::HypoTestInverterResult::FindClosestPointIndex(), RooCurve::findPoint(), RooIntegralMorph::MorphCacheElem::findRange(), RooBrentRootFinder::findRoot(), format(), ROOT::Math::KelvinFunctions::G1(), ROOT::Math::KelvinFunctions::G2(), gaussian_pdf(), GaussPdf(), RooBCPEffDecay::generateEvent(), RooBCPGenDecay::generateEvent(), RooBDecay::generateEvent(), ROOT::Math::KDTree< _DataPoint >::SplitNode::GetClosestPoints(), ROOT::Minuit2::GaussianModelFunction::GetGradient(), RooStats::HybridPlot::GetHistoPvals(), RooPoisson::getLogVal(), RooAbsPdf::getLogVal(), ROOT::Math::KDTree< _DataPoint >::SplitNode::GetPointsWithinDist(), gl2psSameColorThreshold(), TMVA::MethodBDT::GradBoost(), TMVA::MethodBDT::GradBoostRegression(), gsl_integration_qk(), gsl_integration_qng(), gsl_poly_complex_solve_cubic(), gsl_poly_complex_solve_quartic(), RooHist::hasIdenticalBinning(), ROOT::Math::Cephes::igami(), ROOT::Math::Cephes::incbi(), RooAbsRealLValue::inRange(), ROOT::Minuit2::MnUserTransformation::Int2extError(), RooIntegrator1D::integral(), RooCurve::interpolate(), RooMath::interpolate(), RooCurve::isIdentical(), RooFitResult::isIdentical(), RooDataHist::isNonPoissonWeighted(), RooDataSet::isNonPoissonWeighted(), RooRealIntegral::jacobianProduct(), ROOT::Math::KelvinFunctions::Kei(), ROOT::Math::KelvinFunctions::Ker(), RooGExpModel::logErfC(), lognormal_pdf(), main(), RooExpensiveObjectCache::ExpensiveObject::matches(), ROOT::Math::BrentMethods::MinimBrent(), ROOT::Math::BrentMethods::MinimStep(), ROOT::Minuit2::SimplexBuilder::Minimum(), ROOT::Minuit2::VariableMetricBuilder::Minimum(), ROOT::Minuit2::FumiliBuilder::Minimum(), ROOT::Minuit2::mndasum(), ROOT::Minuit2::mneigen(), ROOT::Math::Vavilov::Mode(), ROOT::Math::VavilovAccurate::Mode(), myRound(), normal_pdf(), TGeoToOCC::OCC_Pgon(), ROOT::Minuit2::MnSeedGenerator::operator()(), ROOT::Minuit2::MnPosDef::operator()(), ROOT::Minuit2::SimplexSeedGenerator::operator()(), ROOT::Minuit2::InitialGradientCalculator::operator()(), ROOT::Minuit2::NegativeG2LineSearch::operator()(), ROOT::Minuit2::MnFunctionCross::operator()(), ROOT::Minuit2::MnLineSearch::operator()(), ROOT::Minuit2::Numerical2PGradientCalculator::operator()(), ROOT::Minuit2::MnHesse::operator()(), ROOT::Minuit2::GaussianModelFunction::operator()(), ROOT::Minuit2::operator<<(), operator==(), TMVA::CCPruner::Optimize(), TGLBoundingBox::Overlap(), ROOT::Math::VavilovTest::PdfTest(), printStats(), qag(), qags(), qelg(), ROOT::Math::VavilovAccurate::Quantile(), ROOT::Math::VavilovAccurate::Quantile_c(), ROOT::Math::VavilovTest::QuantileTest(), ROOT::Math::RotationY::Rectify(), ROOT::Math::RotationX::Rectify(), ROOT::Math::RotationZ::Rectify(), vdt::details::reduce2quadrant(), vdt::details::reduce2quadranttan(), rescale_error(), RooHist::RooHist(), RooHist::roundBin(), RooStats::HypoTestInverterOriginal::RunAutoScan(), RooUnitTest::runCompTests(), RooStats::HypoTestInverter::RunLimit(), TKDTreeBinning::SetCommonBinEdges(), ROOT::Fit::FitConfig::SetParamsSettings(), subinterval_too_small(), test18(), test19(), test7(), test8(), test_positivity(), testDerivation(), testIntegration(), testIntegration1D(), testIntegrationMultiDim(), testRead(), testReadSym(), testResult(), testSiCi(), testSpecFuncBeta(), testSpecFuncBetaI(), testSpecFuncErf(), testSpecFuncGamma(), testTrack(), testWrite(), testWriteSym(), ROOT::Math::Transform3D::Transform3D(), ROOT::Minuit2::FumiliErrorUpdator::Update(), RooPlot::updateFitRangeNorm(), TMVA::MethodBDT::UpdateTargetsRegression(), and TMath::Voigt().

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 162 of file UnaryOperators.h.

static std::string ROOT::Math::format ( double  x, double  y, int  digits, int  width  )

static

Definition at line 462 of file VavilovTest.cxx.

Referenced by TTimeStamp::AsString(), RooAbsString::attachToTree(), RooAbsCategory::attachToTree(), RooAbsReal::attachToTree(), TMVA::TransformationHandler::CalcStats(), TGLWidget::Create(), TGLWidget::CreateDummy(), TMVA::Reader::DecodeVarNames(), TGProgressBar::Format(), TGDNDManager::GetRootProxy(), gl2psBeginPage(), gl2psDrawPixels(), gl2psGetFileExtension(), gl2psGetFormatDescription(), TGDNDManager::HandleDNDEnter(), TGDNDManager::HandleSelection(), TGOSXGLManager::InitGLWindow(), TPostScript::Initialize(), TGX11::IsDNDAware(), THistPainter::PaintText(), THistPainter::PaintTH2PolyText(), ROOT::Math::VavilovTest::PdfTest(), TMatrixTBase< Element >::Print(), THtml::SetCounterFormat(), TStyle::SetFitFormat(), TStyle::SetPaintTextFormat(), TStyle::SetStatFormat(), TGHProgressBar::ShowPosition(), TGraph::TGraph(), TGraph2D::TGraph2D(), and TGraphErrors::TGraphErrors().

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

inline

Alternative name for same function.

Definition at line 497 of file ProbFuncMathCore.h.

Referenced by AnalyticalIntegral().

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

inline

Alternative name for same function.

Definition at line 475 of file ProbFuncMathCore.h.

Referenced by crystalball_integral().

int ROOT::Math::getCount	(	double	z,
		const double *	dat,
		int	n
	)

Definition at line 520 of file GoFTest.cxx.

Referenced by adkTestStat().

const gsl_multiroot_fdfsolver_type* ROOT::Math::GetGSLDerivType

(

GSLMultiRootFinder::EDerivType

type

)

Definition at line 201 of file GSLMultiRootFinder.cxx.

Referenced by ROOT::Math::GSLMultiRootFinder::Solve().

const gsl_multiroot_fsolver_type* ROOT::Math::GetGSLType

(

GSLMultiRootFinder::EType

type

)

Definition at line 183 of file GSLMultiRootFinder.cxx.

Referenced by ROOT::Math::GSLMultiRootFinder::Solve().

int ROOT::Math::getSum	(	const int *	x,
		int	n
	)

Definition at line 534 of file GoFTest.cxx.

Referenced by adkTestStat().

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 197 of file GenVectorIO.h.

template<class A , class T >

T ROOT::Math::Lmag ( const VecExpr< A, T, 4 > &  rhs )

inline

Definition at line 309 of file Functions.h.

template<class A , class T >

T ROOT::Math::Lmag2 ( const VecExpr< A, T, 4 > &  rhs )

inline

Definition at line 285 of file Functions.h.

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 75 of file Math.h.

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

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 208 of file GenVectorIO.h.

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.

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.

double ROOT::Math::minfunction

(

const std::vector< double > &

x

)

function to return the function values at point x

Definition at line 19 of file RMinimizer.cxx.

Referenced by ROOT::Math::RMinimizer::Minimize().

TVectorD ROOT::Math::mingradfunction

(

TVectorD

y

)

function to return the gradient values at point y

Definition at line 25 of file RMinimizer.cxx.

Referenced by ROOT::Math::RMinimizer::Minimize().

static void ROOT::Math::moments ( ROOT::Math::Vavilov &  v, double &  integral, double &  mean, double &  variance, double &  skewness, double &  kurtosis  )

static

Definition at line 568 of file VavilovTest.cxx.

Referenced by ROOT::Math::VavilovTest::PrintPdfTable().

static double ROOT::Math::myRound ( double  x, double  y, double &  xmantissa, int  digits  )

static

Definition at line 438 of file VavilovTest.cxx.

Referenced by myRound(), and ROOT::Math::VavilovTest::PdfTest().

double ROOT::Math::myRound	(	double	x,
		double	y,
		int	digits
	)

Definition at line 456 of file VavilovTest.cxx.

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 229 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 239 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 249 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 259 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 269 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 279 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 289 of file MatrixFunctions.h.

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.

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

Definition at line 186 of file AxisAngleXother.cxx.

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

Definition at line 190 of file AxisAngleXother.cxx.

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.

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

Definition at line 68 of file QuaternionXaxial.cxx.

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

Definition at line 73 of file QuaternionXaxial.cxx.

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.

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

Definition at line 100 of file RotationZYX.cxx.

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

Definition at line 105 of file RotationZYX.cxx.

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.

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

Definition at line 117 of file EulerAngles.cxx.

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

Definition at line 122 of file EulerAngles.cxx.

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 384 of file PositionVector2D.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 405 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 416 of file MatrixFunctions.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 427 of file MatrixFunctions.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 471 of file DisplacementVector2D.h.

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.

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

Definition at line 57 of file Rotation3DxAxial.cxx.

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

Definition at line 63 of file Rotation3DxAxial.cxx.

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.

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

Definition at line 84 of file Rotation3DxAxial.cxx.

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

Definition at line 96 of file Rotation3DxAxial.cxx.

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

Definition at line 108 of file Rotation3DxAxial.cxx.

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

Definition at line 120 of file Rotation3DxAxial.cxx.

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

Definition at line 132 of file Rotation3DxAxial.cxx.

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 521 of file PositionVector3D.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 568 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 579 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 590 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 601 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 612 of file BinaryOperators.h.

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 617 of file DisplacementVector3D.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 624 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 635 of file BinaryOperators.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 689 of file LorentzVector.h.

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 704 of file Transform3D.h.

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

inline

Definition at line 707 of file Transform3D.h.

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

inline

Definition at line 711 of file Transform3D.h.

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

inline

Definition at line 715 of file Transform3D.h.

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

inline

Definition at line 719 of file Transform3D.h.

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

inline

Definition at line 723 of file Transform3D.h.

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

inline

Definition at line 727 of file Transform3D.h.

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

inline

Definition at line 731 of file Transform3D.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 739 of file BinaryOperators.h.

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 742 of file Transform3D.h.

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

inline

Definition at line 745 of file Transform3D.h.

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

inline

Definition at line 748 of file Transform3D.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 751 of file BinaryOperators.h.

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

inline

Definition at line 751 of file Transform3D.h.

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

inline

Definition at line 754 of file Transform3D.h.

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

inline

Definition at line 757 of file Transform3D.h.

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

inline

Definition at line 760 of file Transform3D.h.

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

inline

Definition at line 763 of file Transform3D.h.

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 773 of file Transform3D.h.

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 782 of file Transform3D.h.

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 793 of file Transform3D.h.

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

inline

Definition at line 796 of file Transform3D.h.

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

inline

Definition at line 799 of file Transform3D.h.

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

inline

Definition at line 802 of file Transform3D.h.

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

inline

Definition at line 805 of file Transform3D.h.

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

inline

Definition at line 808 of file Transform3D.h.

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

inline

Definition at line 811 of file Transform3D.h.

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

inline

Definition at line 814 of file Transform3D.h.

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 824 of file Transform3D.h.

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

inline

Definition at line 827 of file Transform3D.h.

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

inline

Definition at line 831 of file Transform3D.h.

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

inline

Definition at line 835 of file Transform3D.h.

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

inline

Definition at line 839 of file Transform3D.h.

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

inline

Definition at line 843 of file Transform3D.h.

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

inline

Definition at line 847 of file Transform3D.h.

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

inline

Definition at line 851 of file Transform3D.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 76 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 88 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 100 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 147 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 158 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 188 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 200 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, R2 > &  rhs  )

inline

Definition at line 212 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 260 of file BinaryOperators.h.

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 272 of file BinaryOperators.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 416 of file PositionVector2D.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 429 of file PositionVector2D.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 443 of file DisplacementVector2D.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 553 of file PositionVector3D.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 566 of file PositionVector3D.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 591 of file DisplacementVector3D.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 58 of file UnaryOperators.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 87 of file UnaryOperators.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 320 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 332 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 344 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 391 of file BinaryOperators.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 401 of file PositionVector2D.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 402 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 432 of file BinaryOperators.h.

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 442 of file PositionVector2D.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 444 of file BinaryOperators.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 456 of file DisplacementVector2D.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 456 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 503 of file BinaryOperators.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 514 of file BinaryOperators.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 538 of file PositionVector3D.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 579 of file PositionVector3D.h.

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 604 of file DisplacementVector3D.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 798 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 809 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 821 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 868 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 879 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 982 of file BinaryOperators.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 994 of file BinaryOperators.h.

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

Stream Output and Input.

Definition at line 107 of file BoostY.cxx.

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

Stream Output and Input.

Definition at line 108 of file BoostZ.cxx.

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

Stream Output and Input.

Definition at line 108 of file BoostX.cxx.

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 210 of file Expression.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 215 of file Expression.h.

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

inline

Stream Output and Input.

Definition at line 243 of file RotationX.h.

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

inline

Stream Output and Input.

Definition at line 243 of file RotationZ.h.

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

inline

Stream Output and Input.

Definition at line 243 of file RotationY.h.

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

Stream Output and Input.

Definition at line 94 of file Plane3D.cxx.

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

Stream Output and Input.

Definition at line 173 of file Boost.cxx.

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

Definition at line 50 of file Translation3D.cxx.

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

Stream Output and Input.

Definition at line 91 of file AxisAngle.cxx.

template<class T , unsigned int D>

std::ostream & ROOT::Math::operator<< ( std::ostream &  os, const ROOT::Math::SVector< T, D > &  rhs  )

inline

Definition at line 630 of file SVector.icc.

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

Stream Output and Input.

Definition at line 101 of file Quaternion.cxx.

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

Stream Output and Input.

Definition at line 151 of file RotationZYX.cxx.

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

Stream Output and Input.

Definition at line 128 of file EulerAngles.cxx.

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 454 of file PositionVector2D.h.

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 489 of file DisplacementVector2D.h.

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

Stream Output and Input.

Definition at line 219 of file LorentzRotation.cxx.

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

Stream Output and Input.

Definition at line 137 of file Rotation3D.cxx.

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 591 of file PositionVector3D.h.

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 635 of file DisplacementVector3D.h.

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 701 of file LorentzVector.h.

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 724 of file SMatrix.h.

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.

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 483 of file PositionVector2D.h.

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 518 of file DisplacementVector2D.h.

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 622 of file PositionVector3D.h.

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 666 of file DisplacementVector3D.h.

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 730 of file LorentzVector.h.

double ROOT::Math::Pi ( )

inline

Mathematical constants.

Definition at line 68 of file Math.h.

Referenced by TMath::BreitWigner(), TEveJetCone::CalcBaseVec(), compare3D(), TEveCaloData::EtaToTheta(), ROOT::Math::Cephes::gamma(), TEveJetCone::IsInTransitionRegion(), ROOT::Math::Cephes::lgam(), TGLCamera::RotateRad(), and testAtan2().

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

Definition at line 967 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 951 of file SpecFuncCephes.cxx.

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

template<class char_t >

detail::manipulator<char_t> ROOT::Math::set_close ( char_t  ch )

inline

Definition at line 187 of file GenVectorIO.h.

template<class char_t >

detail::manipulator<char_t> ROOT::Math::set_open ( char_t  ch )

inline

Definition at line 167 of file GenVectorIO.h.

template<class char_t >

detail::manipulator<char_t> ROOT::Math::set_separator ( char_t  ch )

inline

Definition at line 177 of file GenVectorIO.h.

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 679 of file MatrixFunctions.h.

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 687 of file MatrixFunctions.h.

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 695 of file MatrixFunctions.h.

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 703 of file MatrixFunctions.h.

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 711 of file MatrixFunctions.h.

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 719 of file MatrixFunctions.h.

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 727 of file MatrixFunctions.h.

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 758 of file MatrixFunctions.h.

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 808 of file MatrixFunctions.h.

template<class T , unsigned int D>

bool ROOT::Math::SolveChol	(	SMatrix< T, D, D, MatRepSym< T, D > > &	mat,
		SVector< T, D > &	vec
	)

Definition at line 991 of file MatrixFunctions.h.

Referenced by SolveChol(), and test23().

template<class T , unsigned int D>

SVector<T,D> ROOT::Math::SolveChol	(	const SMatrix< T, D, D, MatRepSym< T, D > > &	mat,
		const SVector< T, D > &	vec,
		int &	ifail
	)

same function as before but not overwriting the matrix and returning a copy of the vector (this is the slow version)

Definition at line 999 of file MatrixFunctions.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 208 of file UnaryOperators.h.

Referenced by TEveLine::CalculateLineLength(), and TMath::NextPrime().

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 237 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 283 of file UnaryOperators.h.

Referenced by ROOT::Math::KelvinFunctions::Bei(), ROOT::Math::KelvinFunctions::Ber(), ROOT::Math::TDataPointN< _val_type >::Distance(), ROOT::Math::TDataPoint< K, _val_type >::Distance(), ROOT::Math::KelvinFunctions::Kei(), ROOT::Math::KelvinFunctions::Ker(), ROOT::Math::KelvinFunctions::M(), ROOT::Math::KelvinFunctions::N(), test7(), test8(), and testRandomDist().

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 312 of file UnaryOperators.h.

static void ROOT::Math::swap ( double &  a, double &  b  )

inlinestatic

Definition at line 104 of file Rotation3D.cxx.

Referenced by RooNLLVar::applyWeightSquared(), Rgl::Mc::TMeshBuilder< DataSource, ValueType >::BuildMesh(), TEveShape::CheckAndFixBoxOrientationEv(), TEveShape::CheckAndFixBoxOrientationFv(), TGCocoa::CreatePixmapFromData(), ROOT::Quartz::DrawBox(), Rgl::DrawBoxFront(), Rgl::DrawBoxFrontTextured(), Rgl::DrawCylinder(), TGLLegoPainter::DrawLegoCylindrical(), TGLLegoPainter::DrawLegoSpherical(), Rgl::DrawTransparentBox(), Rgl::DrawTrapezoid(), Rgl::DrawTrapezoidTextured(), Rgl::DrawTrapezoidTextured2(), TGraphDelaunay::FileIt(), TMVA::SimulatedAnnealing::GenerateMaxTemperature(), TGraphDelaunay::InterpolateOnPlane(), ROOT::Math::Rotation3D::Invert(), TUnfold::InvertMSparseSymmPos(), TGLH2PolyPainter::MakePolygonCCW(), TStreamerInfoActions::TConfiguredAction::operator=(), TGLPlotPainter::PlotSelected(), TFormLeafInfoReference::Swap(), TFormLeafInfo::Swap(), Rgl::Mc::TIsoMesh< Float_t >::Swap(), TFormLeafInfoNumerical::Swap(), TFormLeafInfoCollectionObject::Swap(), TFormLeafInfoClones::Swap(), TFormLeafInfoCollection::Swap(), TFormLeafInfoCollectionSize::Swap(), TFormLeafInfoMethod::Swap(), TFormLeafInfoMultiVarDim::Swap(), and TFormLeafInfoCast::Swap().

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 901 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 911 of file MatrixFunctions.h.

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 922 of file MatrixFunctions.h.

void ROOT::Math::Throw

(

GenVector_exception &

e

)

throw explicity GenVector exceptions

Definition at line 21 of file GenVector_exception.cxx.

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 666 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 678 of file BinaryOperators.h.

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 690 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 557 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.

Variable Documentation

const double ROOT::Math::eu = 0.577215664901532860606

static

Definition at line 52 of file Vavilov.cxx.

Referenced by DoNewMinimization(), ROOT::Math::VavilovAccurate::E1plLog(), TFitter::FitChisquare(), TFumili::FitChisquare(), TFitter::FitChisquareI(), TFumili::FitChisquareI(), TDataSetManagerFile::GetDataSets(), Graph2DFitChisquare(), GraphFitChisquare(), GraphFitChisquareFumili(), TLinearFitter::HistLinearFitter(), ROOT::Math::Vavilov::Mean(), MultiGraphFitChisquare(), and ROOT::Math::VavilovAccurate::Set().

const double ROOT::Math::eu = 0.577215664901532860606

static

Definition at line 57 of file VavilovTest.cxx.

double ROOT::Math::gDefaultAbsTolerance = 1.E-6

Definition at line 53 of file GSLMultiRootFinder.cxx.

Referenced by ROOT::Math::GSLMultiRootFinder::SetDefaultTolerance(), and ROOT::Math::GSLMultiRootFinder::Solve().

int ROOT::Math::gDefaultMaxIter = 100

Definition at line 52 of file GSLMultiRootFinder.cxx.

Referenced by ROOT::Math::GSLMultiRootFinder::SetDefaultMaxIterations(), and ROOT::Math::GSLMultiRootFinder::Solve().

int ROOT::Math::gDefaultNpx = 100

static

Definition at line 24 of file BrentRootFinder.cxx.

int ROOT::Math::gDefaultNpx = 100

static

Definition at line 42 of file BrentMinimizer1D.cxx.

Referenced by ROOT::Math::BrentMinimizer1D::BrentMinimizer1D(), ROOT::Math::BrentRootFinder::BrentRootFinder(), ROOT::Math::BrentRootFinder::SetDefaultNpx(), and ROOT::Math::BrentMinimizer1D::SetDefaultNpx().

int ROOT::Math::gDefaultNSearch = 10

static

Definition at line 25 of file BrentRootFinder.cxx.

int ROOT::Math::gDefaultNSearch = 10

static

Definition at line 43 of file BrentMinimizer1D.cxx.

Referenced by ROOT::Math::BrentMinimizer1D::Minimize(), ROOT::Math::BrentRootFinder::SetDefaultNSearch(), ROOT::Math::BrentMinimizer1D::SetDefaultNSearch(), and ROOT::Math::BrentRootFinder::Solve().

double ROOT::Math::gDefaultRelTolerance = 1.E-10

Definition at line 54 of file GSLMultiRootFinder.cxx.

Referenced by ROOT::Math::GSLMultiRootFinder::SetDefaultTolerance(), and ROOT::Math::GSLMultiRootFinder::Solve().

const ROOT::Math::IMultiGenFunction* ROOT::Math::gFunction

function wrapper for the function to be minimized

Definition at line 12 of file RMinimizer.cxx.

Referenced by minfunction(), and ROOT::Math::RMinimizer::Minimize().

const ROOT::Math::IMultiGradFunction* ROOT::Math::gGradFunction

function wrapper for the gradient of the function to be minimized

Definition at line 14 of file RMinimizer.cxx.

Referenced by mingradfunction(), and ROOT::Math::RMinimizer::Minimize().

int ROOT::Math::gNCalls = 0

integer for the number of function calls

Definition at line 16 of file RMinimizer.cxx.

Referenced by minfunction(), ROOT::Math::RMinimizer::Minimize(), and ROOT::Math::RMinimizer::NCalls().

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(), GetRange(), 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 = 1.41421356237309515

static

Definition at line 18 of file ProbFuncMathCore.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(), lognormal_cdf(), lognormal_cdf_c(), ROOT::Math::KelvinFunctions::M(), ROOT::Math::KelvinFunctions::N(), normal_cdf(), normal_cdf_c(), ROOT::Math::KelvinFunctions::Phi(), and ROOT::Math::KelvinFunctions::Theta().

double ROOT::Math::vavilovKappaValues[10] = {.01, .04, .07, .1, .4, .7, 1, 4, 7, 10}

static

Definition at line 398 of file VavilovTest.cxx.

Referenced by ROOT::Math::VavilovTest::GetSBKappa().

int ROOT::Math::vavilovNLambda[10] = {45, 42, 41, 41, 28, 22, 19, 20, 21, 21}

static

Definition at line 400 of file VavilovTest.cxx.

Referenced by ROOT::Math::VavilovTest::GetSBNLambda().

double(*[10] ROOT::Math::vavilovPdfValues)[12] ={vavilovPdfValues0, vavilovPdfValues1, vavilovPdfValues2, vavilovPdfValues3, vavilovPdfValues4, vavilovPdfValues5, vavilovPdfValues6, vavilovPdfValues7, vavilovPdfValues8, vavilovPdfValues9}

static

Definition at line 396 of file VavilovTest.cxx.

Referenced by ROOT::Math::VavilovTest::GetSBLambda(), and ROOT::Math::VavilovTest::GetSBVavilovPdf().

double ROOT::Math::vavilovPdfValues0[45][12]

static

Definition at line 61 of file VavilovTest.cxx.

double ROOT::Math::vavilovPdfValues1[42][12]

static

Definition at line 110 of file VavilovTest.cxx.

double ROOT::Math::vavilovPdfValues2[41][12]

static

Definition at line 156 of file VavilovTest.cxx.

double ROOT::Math::vavilovPdfValues3[41][12]

static

Definition at line 201 of file VavilovTest.cxx.

double ROOT::Math::vavilovPdfValues4[28][12]

static

Initial value:

={
   {-3.50, 1.07E-5, 1.26E-5, 1.47E-5, 1.73E-5, 2.03E-5, 2.37E-5, 2.78E-5, 3.26E-5, 3.82E-5, 4.48E-5, 5.24E-5},
   {-3.00, 1.00E-3, 1.16E-3, 1.33E-3, 1.53E-3, 1.75E-3, 2.02E-3, 2.32E-3, 2.66E-3, 3.05E-3, 3.50E-3, 4.02E-3},
   {-2.50, 1.44E-2, 1.62E-2, 1.83E-2, 2.06E-2, 2.32E-2, 2.61E-2, 2.93E-2, 3.30E-2, 3.71E-2, 4.17E-2, 4.68E-2},
   {-2.00, 6.56E-2, 7.25E-2, 8.00E-2, 8.83E-2, 9.74E-2, 1.07E-1, 1.18E-1, 1.30E-1, 1.43E-1, 1.57E-1, 1.73E-1},
   {-1.50, 1.50E-1, 1.62E-1, 1.76E-1, 1.90E-1, 2.05E-1, 2.21E-1, 2.38E-1, 2.57E-1, 2.76E-1, 2.97E-1, 3.19E-1},
   {-1.00, 2.26E-1, 2.40E-1, 2.54E-1, 2.69E-1, 2.84E-1, 3.00E-1, 3.16E-1, 3.32E-1, 3.49E-1, 3.66E-1, 3.83E-1},
   {-0.50, 2.65E-1, 2.75E-1, 2.85E-1, 2.96E-1, 3.05E-1, 3.15E-1, 3.24E-1, 3.32E-1, 3.40E-1, 3.47E-1, 3.52E-1},
   { 0.00, 2.66E-1, 2.71E-1, 2.76E-1, 2.79E-1, 2.82E-1, 2.84E-1, 2.84E-1, 2.84E-1, 2.82E-1, 2.78E-1, 2.73E-1},
   { 0.50, 2.44E-1, 2.43E-1, 2.42E-1, 2.39E-1, 2.36E-1, 2.31E-1, 2.25E-1, 2.18E-1, 2.09E-1, 1.99E-1, 1.88E-1},
   { 1.00, 2.07E-1, 2.03E-1, 1.97E-1, 1.91E-1, 1.83E-1, 1.75E-1, 1.65E-1, 1.55E-1, 1.44E-1, 1.31E-1, 1.18E-1},
   { 1.50, 1.66E-1, 1.59E-1, 1.51E-1, 1.43E-1, 1.34E-1, 1.24E-1, 1.14E-1, 1.03E-1, 9.21E-2, 8.05E-2, 6.86E-2},
   { 2.00, 1.26E-1, 1.18E-1, 1.10E-1, 1.01E-1, 9.25E-2, 8.35E-2, 7.43E-2, 6.51E-2, 5.58E-2, 4.66E-2, 3.75E-2},
   { 2.50, 9.11E-2, 8.37E-2, 7.62E-2, 6.87E-2, 6.11E-2, 5.36E-2, 4.63E-2, 3.91E-2, 3.22E-2, 2.56E-2, 1.94E-2},
   { 3.00, 6.35E-2, 5.71E-2, 5.09E-2, 4.48E-2, 3.88E-2, 3.31E-2, 2.77E-2, 2.26E-2, 1.78E-2, 1.35E-2, 9.60E-3},
   { 3.50, 4.28E-2, 3.77E-2, 3.29E-2, 2.82E-2, 2.39E-2, 1.98E-2, 1.60E-2, 1.26E-2, 9.52E-3, 6.84E-3, 4.55E-3},
   { 4.00, 2.79E-2, 2.41E-2, 2.06E-2, 1.72E-2, 1.42E-2, 1.14E-2, 8.95E-3, 6.78E-3, 4.91E-3, 3.35E-3, 2.08E-3},
   { 4.50, 1.77E-2, 1.50E-2, 1.25E-2, 1.02E-2, 8.21E-3, 6.42E-3, 4.87E-3, 3.55E-3, 2.46E-3, 1.59E-3, 9.22E-4},
   { 5.00, 1.10E-2, 9.10E-3, 7.42E-3, 5.93E-3, 4.63E-3, 3.51E-3, 2.58E-3, 1.81E-3, 1.20E-3, 7.34E-4, 3.96E-4},
   { 5.50, 6.65E-3, 5.39E-3, 4.30E-3, 3.35E-3, 2.55E-3, 1.88E-3, 1.33E-3, 9.02E-4, 5.72E-4, 3.30E-4, 1.66E-4},
   { 6.00, 3.93E-3, 3.13E-3, 2.44E-3, 1.85E-3, 1.37E-3, 9.83E-4, 6.75E-4, 4.39E-4, 2.66E-4, 1.45E-4, 6.73E-5},
   { 6.50, 2.28E-3, 1.78E-3, 1.35E-3, 1.01E-3, 7.25E-4, 5.04E-4, 3.34E-4, 2.09E-4, 1.21E-4, 6.24E-5, 2.68E-5},
   { 7.00, 1.30E-3, 9.91E-4, 7.38E-4, 5.35E-4, 3.76E-4, 2.53E-4, 1.63E-4, 9.79E-5, 5.41E-5, 2.64E-5, 1.05E-5},
   { 7.50, 7.27E-4, 5.43E-4, 3.96E-4, 2.80E-4, 1.91E-4, 1.25E-4, 7.76E-5, 4.49E-5, 2.36E-5, 1.08E-5, 0},
   { 8.00, 4.00E-4, 2.92E-4, 2.08E-4, 1.44E-4, 9.57E-5, 6.08E-5, 3.64E-5, 2.02E-5, 1.02E-5, 0,       0},
   { 8.50, 2.17E-4, 1.55E-4, 1.08E-4, 7.29E-5, 4.72E-5, 2.91E-5, 1.69E-5, 0,       0,       0,       0},
   { 9.00, 1.16E-4, 8.12E-5, 5.53E-5, 3.63E-5, 2.29E-5, 1.37E-5, 0,       0,       0,       0,       0},
   { 9.50, 6.08E-5, 4.19E-5, 2.79E-5, 1.79E-5, 1.09E-5, 0,       0,       0,       0,       0,       0},
   {10.00, 3.17E-5, 2.13E-5, 1.39E-5, 0,       0,       0,       0,       0,       0,       0,       0}}

Definition at line 246 of file VavilovTest.cxx.

double ROOT::Math::vavilovPdfValues5[22][12]

static

Initial value:

={
   {-3.50, 1.44E-5, 1.83E-5, 2.32E-5, 2.95E-5, 3.75E-5, 4.76E-5, 6.04E-5, 7.69E-5, 9.72E-5, 1.23E-4, 1.56E-4},
   {-3.00, 1.36E-3, 1.67E-3, 2.04E-3, 2.50E-3, 3.07E-3, 3.76E-3, 4.60E-3, 5.62E-3, 6.87E-3, 8.39E-3, 1.02E-2},
   {-2.50, 1.94E-2, 2.30E-2, 2.72E-2, 3.22E-2, 3.81E-2, 4.49E-2, 5.29E-2, 6.23E-2, 7.33E-2, 8.61E-2, 1.01E-1},
   {-2.00, 8.86E-2, 1.01E-1, 1.16E-1, 1.32E-1, 1.50E-1, 1.71E-1, 1.94E-1, 2.19E-1, 2.47E-1, 2.79E-1, 3.13E-1},
   {-1.50, 2.02E-1, 2.23E-1, 2.46E-1, 2.70E-1, 2.96E-1, 3.23E-1, 3.52E-1, 3.82E-1, 4.13E-1, 4.44E-1, 4.76E-1},
   {-1.00, 3.03E-1, 3.23E-1, 3.42E-1, 3.62E-1, 3.81E-1, 3.99E-1, 4.15E-1, 4.30E-1, 4.42E-1, 4.52E-1, 4.57E-1},
   {-0.50, 3.44E-1, 3.54E-1, 3.62E-1, 3.68E-1, 3.71E-1, 3.72E-1, 3.70E-1, 3.64E-1, 3.54E-1, 3.40E-1, 3.22E-1},
   { 0.00, 3.23E-1, 3.20E-1, 3.15E-1, 3.09E-1, 2.97E-1, 2.85E-1, 2.69E-1, 2.51E-1, 2.30E-1, 2.07E-1, 1.81E-1},
   { 0.50, 2.60E-1, 2.49E-1, 2.36E-1, 2.21E-1, 2.05E-1, 1.87E-1, 1.68E-1, 1.48E-1, 1.27E-1, 1.06E-1, 8.54E-2},
   { 1.00, 1.86E-1, 1.72E-1, 1.57E-1, 1.41E-1, 1.25E-1, 1.09E-1, 9.28E-2, 7.71E-2, 6.20E-2, 4.79E-2, 3.50E-2},
   { 1.50, 1.21E-1, 1.08E-1, 9.44E-2, 8.15E-2, 6.91E-2, 5.73E-2, 4.63E-2, 3.62E-2, 2.72E-2, 1.93E-2, 1.28E-2},
   { 2.00, 7.20E-2, 6.19E-2, 5.22E-2, 4.33E-2, 3.51E-2, 2.79E-2, 2.11E-2, 1.55E-2, 1.09E-2, 7.11E-3, 4.22E-3},
   { 2.50, 3.99E-2, 3.31E-2, 2.69E-2, 2.13E-2, 1.65E-2, 1.24E-2, 8.97E-3, 6.19E-3, 4.02E-3, 2.41E-3, 1.28E-3},
   { 3.00, 2.07E-2, 1.66E-2, 1.30E-2, 9.87E-3, 7.30E-3, 5.21E-3, 3.56E-3, 2.31E-3, 1.39E-3, 7.61E-4, 3.60E-4},
   { 3.50, 1.02E-2, 7.84E-3, 5.89E-3, 4.31E-3, 3.04E-3, 2.06E-3, 1.33E-3, 8.09E-4, 4.52E-4, 2.26E-4, 9.47E-5},
   { 4.00, 4.74E-3, 3.52E-3, 2.55E-3, 1.78E-3, 1.20E-3, 7.76E-4, 4.73E-4, 2.69E-4, 1.39E-4, 6.32E-5, 2.34E-5},
   { 4.50, 2.10E-3, 1.51E-3, 1.05E-3, 7.05E-4, 4.54E-4, 2.78E-4, 1.60E-4, 8.52E-5, 4.08E-5, 1.68E-5, 0},
   { 5.00, 8.98E-4, 6.21E-4, 4.15E-4, 2.67E-4, 1.64E-4, 9.55E-5, 5.19E-5, 2.58E-5, 1.14E-5, 0,       0},
   { 5.50, 3.68E-4, 2.45E-4, 1.58E-4, 9.71E-5, 5.70E-5, 3.15E-5, 1.61E-5, 0,       0,       0,       0},
   { 6.00, 1.45E-4, 9.32E-5, 5.76E-5, 3.41E-5, 1.91E-5, 1.00E-5, 0,       0,       0,       0,       0},
   { 6.50, 5.53E-5, 3.43E-5, 2.04E-5, 1.15E-5, 0,       0,       0,       0,       0,       0,       0},
   { 7.00, 2.04E-5, 1.22E-5, 0,       0,       0,       0,       0,       0,       0,       0,       0}}

Definition at line 278 of file VavilovTest.cxx.

double ROOT::Math::vavilovPdfValues6[19][12]

static

Initial value:

={
   {-3.50, 1.94E-5, 2.64E-5, 3.59E-5, 4.87E-5, 6.61E-5, 8.96E-5, 1.21E-4, 1.64E-4, 2.22E-4, 3.00E-4, 4.05E-4},
   {-3.00, 1.83E-3, 2.37E-3, 3.06E-3, 3.94E-3, 5.08E-3, 6.53E-3, 8.39E-3, 1.08E-2, 1.38E-2, 1.76E-2, 2.25E-2},
   {-2.50, 2.62E-2, 3.22E-2, 3.95E-2, 4.84E-2, 5.91E-2, 7.20E-2, 8.76E-2, 1.06E-1, 1.28E-1, 1.55E-1, 1.86E-1},
   {-2.00, 1.19E-1, 1.39E-1, 1.63E-1, 1.89E-1, 2.18E-1, 2.51E-1, 2.88E-1, 3.29E-1, 3.74E-1, 4.23E-1, 4.75E-1},
   {-1.50, 2.69E-1, 2.99E-1, 3.31E-1, 3.64E-1, 3.97E-1, 4.31E-1, 4.65E-1, 4.97E-1, 5.26E-1, 5.52E-1, 5.73E-1},
   {-1.00, 3.85E-1, 4.07E-1, 4.26E-1, 4.43E-1, 4.56E-1, 4.66E-1, 4.69E-1, 4.67E-1, 4.58E-1, 4.42E-1, 4.17E-1},
   {-0.50, 4.01E-1, 4.02E-1, 4.00E-1, 3.92E-1, 3.80E-1, 3.63E-1, 3.42E-1, 3.15E-1, 2.84E-1, 2.49E-1, 2.11E-1},
   { 0.00, 3.29E-1, 3.13E-1, 2.94E-1, 2.73E-1, 2.49E-1, 2.22E-1, 1.94E-1, 1.65E-1, 1.36E-1, 1.08E-1, 8.10E-2},
   { 0.50, 2.23E-1, 2.02E-1, 1.80E-1, 1.57E-1, 1.34E-1, 1.12E-1, 9.10E-2, 7.13E-2, 5.35E-2, 3.80E-2, 2.50E-2},
   { 1.00, 1.29E-1, 1.11E-1, 9.38E-2, 7.73E-2, 6.21E-2, 4.84E-2, 3.64E-2, 2.61E-2, 1.78E-2, 1.12E-2, 6.42E-3},
   { 1.50, 6.60E-2, 5.39E-2, 4.30E-2, 3.34E-2, 2.51E-2, 1.83E-2, 1.27E-2, 8.37E-3, 5.15E-3, 2.88E-3, 1.42E-3},
   { 2.00, 3.01E-2, 2.33E-2, 1.76E-2, 1.29E-2, 9.10E-3, 6.15E-3, 3.95E-3, 2.38E-3, 1.32E-3, 6.54E-4, 2.74E-4},
   { 2.50, 1.24E-2, 9.15E-3, 6.53E-3, 4.50E-3, 2.98E-3, 1.88E-3, 1.11E-3, 6.12E-4, 3.05E-4, 1.33E-4, 4.73E-5},
   { 3.00, 4.71E-3, 3.29E-3, 2.22E-3, 1.44E-3, 8.94E-4, 5.24E-4, 2.87E-4, 1.44E-4, 6.44E-5, 2.46E-5, 0},
   { 3.50, 1.65E-3, 1.09E-3, 6.99E-4, 4.28E-4, 2.48E-4, 1.35E-4, 6.81E-5, 3.11E-5, 1.55E-5, 0,       0},
   { 4.00, 5.38E-4, 3.39E-4, 2.05E-4, 1.18E-4, 6.41E-5, 3.24E-5, 1.51E-5, 0,       0,       0,       0},
   { 4.50, 1.65E-4, 9.86E-5, 5.64E-5, 3.05E-5, 1.55E-5, 0,       0,       0,       0,       0,       0},
   { 5.00, 4.75E-5, 2.70E-5, 1.46E-5, 0,       0,       0,       0,       0,       0,       0,       0},
   { 5.50, 1.30E-5, 0,       0,       0,       0,       0,       0,       0,       0,       0,       0}}

Definition at line 304 of file VavilovTest.cxx.

double ROOT::Math::vavilovPdfValues7[20][12]

static

Initial value:

={
   {-4.00, 0,       0,       0,       0,       0,       1.32E-5, 3.04E-5, 6.90E-5, 1.55E-4, 3.44E-4, 7.55E-4},
   {-3.75, 1.38E-5, 2.98E-5, 6.38E-5, 1.35E-4, 2.83E-4, 5.85E-4, 1.20E-3, 2.41E-3, 4.78E-3, 9.35E-3, 1.80E-2},
   {-3.50, 3.81E-4, 7.44E-4, 1.44E-3, 2.73E-3, 5.12E-3, 9.45E-3, 1.71E-2, 3.05E-2, 5.33E-2, 9.11E-2, 1.52E-1},
   {-3.25, 4.78E-3, 8.44E-3, 1.47E-2, 2.50E-2, 4.19E-2, 6.88E-2, 1.10E-1, 1.73E-1, 2.64E-1, 3.90E-1, 5.57E-1},
   {-3.00, 3.19E-2, 5.08E-2, 7.95E-2, 1.22E-1, 1.82E-1, 2.64E-1, 3.73E-1, 5.11E-1, 6.75E-1, 8.56E-1, 1.03E+0},
   {-2.75, 1.27E-1, 1.83E-1, 2.56E-1, 3.51E-1, 4.66E-1, 6.00E-1, 7.44E-1, 8.86E-1, 1.01E+0, 1.08E+0, 1.09E+0},
   {-2.50, 3.28E-1, 4.26E-1, 5.38E-1, 6.58E-1, 7.77E-1, 8.81E-1, 9.56E-1, 9.85E-1, 9.56E-1, 8.63E-1, 7.14E-1},
   {-2.25, 5.89E-1, 6.91E-1, 7.84E-1, 8.57E-1, 8.97E-1, 8.95E-1, 8.46E-1, 7.51E-1, 6.18E-1, 4.65E-1, 3.12E-1},
   {-2.00, 7.75E-1, 8.22E-1, 8.37E-1, 8.15E-1, 7.56E-1, 6.63E-1, 5.44E-1, 4.14E-1, 2.88E-1, 1.78E-1, 9.59E-2},
   {-1.75, 7.79E-1, 7.45E-1, 6.81E-1, 5.91E-1, 4.85E-1, 3.73E-1, 2.65E-1, 1.72E-1, 1.01E-1, 5.10E-2, 2.17E-2},
   {-1.50, 6.16E-1, 5.32E-1, 4.36E-1, 3.38E-1, 2.45E-1, 1.64E-1, 1.01E-1, 5.60E-2, 2.73E-2, 1.13E-2, 3.74E-3},
   {-1.25, 3.95E-1, 3.07E-1, 2.26E-1, 1.56E-1, 9.96E-2, 5.85E-2, 3.11E-2, 1.46E-2, 5.90E-3, 1.97E-3, 5.05E-4},
   {-1.00, 2.09E-1, 1.47E-1, 9.68E-2, 5.94E-2, 3.35E-2, 1.72E-2, 7.85E-3, 3.12E-3, 1.05E-3, 2.80E-4, 5.49E-5},
   {-0.75, 9.33E-2, 5.91E-2, 3.49E-2, 1.91E-2, 9.47E-3, 4.23E-3, 1.66E-3, 5.59E-4, 1.54E-4, 3.29E-5, 0},
   {-0.50, 3.56E-2, 2.04E-2, 1.08E-2, 5.22E-3, 2.29E-3, 8.90E-4, 3.00E-4, 8.49E-5, 1.93E-5, 0,       0},
   {-0.25, 1.18E-2, 6.07E-3, 2.88E-3, 1.24E-3, 4.78E-4, 1.62E-4, 4.67E-5, 1.12E-5, 0,       0,       0},
   { 0.00, 3.41E-3, 1.59E-3, 6.74E-4, 2.58E-4, 8.75E-5, 2.57E-5, 0,       0,       0,       0,       0},
   { 0.25, 8.74E-4, 3.67E-4, 1.40E-4, 4.74E-5, 1.42E-5, 0,       0,       0,       0,       0,       0},
   { 0.50, 2.00E-4, 7.57E-5, 2.58E-5, 0,       0,       0,       0,       0,       0,       0,       0},
   { 0.75, 4.11E-5, 1.41E-5, 0,       0,       0,       0,       0,       0,       0,       0,       0}}

Definition at line 327 of file VavilovTest.cxx.

double ROOT::Math::vavilovPdfValues8[21][12]

static

Initial value:

={
   {-4.40, 0,       0,       0,       0,       0,       0,       0,       0,       1.11E-5, 3.90E-5, 1.33E-4},
   {-4.20, 0,       0,       0,       0,       0,       2.17E-5, 6.93E-5, 2.15E-4, 6.46E-4, 1.88E-3, 5.28E-3},
   {-4.00, 0,       1.07E-5, 3.24E-5, 9.54E-5, 2.73E-4, 7.60E-4, 2.04E-3, 5.31E-3, 1.33E-2, 3.18E-2, 7.28E-2},
   {-3.80, 1.11E-4, 2.99E-4, 7.80E-4, 1.97E-3, 4.82E-3, 1.14E-2, 2.57E-2, 5.57E-2, 1.15E-1, 2.24E-1, 4.12E-1},
   {-3.60, 1.77E-3, 4.11E-3, 9.26E-3, 2.01E-2, 4.18E-2, 8.32E-2, 1.58E-1, 2.83E-1, 4.78E-1, 7.51E-1, 1.09E+0},
   {-3.40, 1.54E-2, 3.10E-2, 6.01E-2, 1.12E-1, 1.97E-1, 3.31E-1, 5.23E-1, 7.74E-1, 1.06E+0, 1.33E+0, 1.50E+0},
   {-3.20, 7.96E-2, 1.39E-1, 2.33E-1, 3.69E-1, 5.54E-1, 7.81E-1, 1.02E+0, 1.24E+0, 1.37E+0, 1.35E+0, 1.17E+0},
   {-3.00, 2.63E-1, 3.99E-1, 5.74E-1, 7.78E-1, 9.89E-1, 1.17E+0, 1.27E+0, 1.25E+0, 1.10E+0, 8.46E-1, 5.51E-1},
   {-2.80, 5.86E-1, 7.71E-1, 9.54E-1, 1.10E+0, 1.18E+0, 1.17E+0, 1.04E+0, 8.35E-1, 5.83E-1, 3.46E-1, 1.68E-1},
   {-2.60, 9.21E-1, 1.05E+0, 1.12E+0, 1.10E+0, 9.97E-1, 8.19E-1, 6.02E-1, 3.88E-1, 2.14E-1, 9.71E-2, 3.44E-2},
   {-2.40, 1.06E+0, 1.04E+0, 9.55E-1, 8.02E-1, 6.12E-1, 4.18E-1, 2.52E-1, 1.30E-1, 5.63E-2, 1.94E-2, 4.95E-3},
   {-2.20, 9.18E-1, 7.85E-1, 6.16E-1, 4.40E-1, 2.83E-1, 1.61E-1, 7.89E-2, 3.27E-2, 1.10E-2, 2.84E-3, 5.18E-4},
   {-2.00, 6.17E-1, 4.57E-1, 3.08E-1, 1.87E-1, 1.01E-1, 4.75E-2, 1.90E-2, 6.29E-3, 1.64E-3, 3.16E-4, 4.05E-5},
   {-1.80, 3.28E-1, 2.10E-1, 1.22E-1, 6.30E-2, 2.85E-2, 1.11E-2, 3.62E-3, 9.50E-4, 1.91E-4, 2.78E-5, 0},
   {-1.60, 1.41E-1, 7.84E-2, 3.89E-2, 1.71E-2, 6.49E-3, 2.09E-3, 5.52E-4, 1.15E-4, 1.77E-5, 0,       0},
   {-1.40, 4.99E-2, 2.40E-2, 1.02E-2, 3.80E-3, 1.21E-3, 3.22E-4, 6.88E-5, 1.13E-5, 0,       0,       0},
   {-1.20, 1.47E-2, 6.10E-3, 2.23E-3, 7.05E-4, 1.88E-4, 4.12E-5, 0,       0,       0,       0,       0},
   {-1.00, 3.64E-3, 1.31E-3, 4.11E-4, 1.10E-4, 2.46E-5, 0,       0,       0,       0,       0,       0},
   {-0.80, 7.71E-4, 2.40E-4, 6.46E-5, 1.47E-5, 0,       0,       0,       0,       0,       0,       0},
   {-0.60, 1.41E-4, 3.80E-5, 0,       0,       0,       0,       0,       0,       0,       0,       0},
   {-0.40, 2.24E-5, 0,       0,       0,       0,       0,       0,       0,       0,       0,       0}}

Definition at line 351 of file VavilovTest.cxx.

double ROOT::Math::vavilovPdfValues9[21][12]

static

Initial value:

={
   {-4.60, 0,       0,       0,       0,       0,       0,       0,       0,       0,       3.85E-5, 1.79E-4},
   {-4.40, 0,       0,       0,       0,       0,       1.18E-5, 5.14E-5, 2.12E-4, 8.32E-4, 3.08E-3, 1.07E-2},
   {-4.20, 0,       0,       1.41E-5, 5.57E-5, 2.10E-4, 7.50E-4, 2.54E-3, 8.11E-3, 2.42E-2, 6.69E-2, 1.70E-1},
   {-4.00, 5.27E-5, 1.84E-4, 6.15E-4, 1.95E-3, 5.83E-3, 1.64E-2, 4.32E-2, 1.06E-1, 2.37E-1, 4.82E-1, 8.79E-1},
   {-3.80, 1.43E-3, 4.07E-3, 1.10E-2, 2.78E-2, 6.61E-2, 1.46E-1, 2.96E-1, 5.49E-1, 9.16E-1, 1.35E+0, 1.73E+0},
   {-3.60, 1.79E-2, 4.17E-2, 9.09E-2, 1.85E-1, 3.46E-1, 5.96E-1, 9.30E-1, 1.30E+0, 1.59E+0, 1.68E+0, 1.47E+0},
   {-3.40, 1.16E-1, 2.20E-1, 3.88E-1, 6.29E-1, 9.31E-1, 1.24E+0, 1.48E+0, 1.54E+0, 1.38E+0, 1.02E+0, 5.99E-1},
   {-3.20, 4.21E-1, 6.50E-1, 9.23E-1, 1.19E+0, 1.39E+0, 1.44E+0, 1.30E+0, 1.01E+0, 6.46E-1, 3.31E-1, 1.28E-1},
   {-3.00, 9.12E-1, 1.15E+0, 1.31E+0, 1.35E+0, 1.24E+0, 9.87E-1, 6.74E-1, 3.84E-1, 1.76E-1, 6.16E-2, 1.53E-2},
   {-2.80, 1.25E+0, 1.28E+0, 1.18E+0, 9.66E-1, 6.92E-1, 4.25E-1, 2.18E-1, 9.11E-2, 2.95E-2, 6.96E-3, 1.09E-3},
   {-2.60, 1.13E+0, 9.45E-1, 7.01E-1, 4.56E-1, 2.55E-1, 1.20E-1, 4.64E-2, 1.41E-2, 3.19E-3, 5.02E-4, 4.87E-5},
   {-2.40, 7.06E-1, 4.80E-1, 2.87E-1, 1.48E-1, 6.46E-2, 2.33E-2, 6.71E-3, 1.47E-3, 2.33E-4, 2.41E-5, 0},
   {-2.20, 3.13E-1, 1.73E-1, 8.33E-2, 3.41E-2, 1.16E-2, 3.19E-3, 6.84E-4, 1.08E-4, 1.18E-5, 0,       0},
   {-2.00, 1.02E-1, 4.59E-2, 1.77E-2, 5.74E-3, 1.52E-3, 3.19E-4, 5.06E-5, 0,       0,       0,       0},
   {-1.80, 2.48E-2, 9.10E-3, 2.82E-3, 7.24E-4, 1.49E-4, 2.37E-5, 0,       0,       0,       0,       0},
   {-1.60, 4.64E-3, 1.38E-3, 3.45E-4, 6.99E-5, 1.11E-5, 0,       0,       0,       0,       0,       0},
   {-1.40, 6.77E-4, 1.64E-4, 3.29E-5, 0,       0,       0,       0,       0,       0,       0,       0},
   {-1.20, 7.84E-5, 1.55E-5, 0,       0,       0,       0,       0,       0,       0,       0,       0}}

Definition at line 376 of file VavilovTest.cxx.