User class for performing multidimensional integration.

By default uses adaptive multi-dimensional integration using the algorithm from Genz Mallik implemented in the class ROOT::Math::AdaptiveIntegratorMultiDim otherwise it can uses via the plug-in manager the MC integration class (ROOT::Math::GSLMCIntegration) from MathMore.

Definition at line 60 of file IntegratorMultiDim.h.

Public Types
typedef IntegrationMultiDim::Type	Type

Public Member Functions
	IntegratorMultiDim (IntegrationMultiDim::Type type=IntegrationMultiDim::kDEFAULT, double absTol=-1, double relTol=-1, unsigned int ncall=0)
	Generic constructor of multi dimensional Integrator. More...

	IntegratorMultiDim (const IMultiGenFunction &f, IntegrationMultiDim::Type type=IntegrationMultiDim::kDEFAULT, double absTol=-1, double relTol=-1, unsigned int ncall=0)
	Generic Constructor of multi dimensional Integrator passing a function. More...

virtual	~IntegratorMultiDim ()
	Template Constructor of multi dimensional Integrator passing a generic function. More...

double	Integral (const double xmin, const double xmax)
	evaluate the integral with the previously given function between xmin[] and xmax[] More...

double	Integral (const IMultiGenFunction &f, const double xmin, const double xmax)
	evaluate the integral passing a new function More...

template<class Function >
double	Integral (Function &f, unsigned int dim, const double xmin, const double xmax)
	evaluate the integral passing a new generic function More...

template<class Function >
void	SetFunction (Function &f, unsigned int dim)
	set integration function using a generic function implementing the operator()(double *x) The dimension of the function is in this case required More...

void	SetFunction (const IMultiGenFunction &f)

double	Result () const
	return result of last integration More...

double	Error () const
	return integration error More...

int	Status () const
	return the Error Status of the last Integral calculation More...

void	SetRelTolerance (double relTol)
	set the relative tolerance More...

void	SetAbsTolerance (double absTol)
	set absolute tolerance More...

void	SetOptions (const ROOT::Math::IntegratorMultiDimOptions &opt)
	set the options More...

ROOT::Math::IntegratorMultiDimOptions	Options () const
	retrieve the options More...

VirtualIntegratorMultiDim *	GetIntegrator ()
	return a pointer to integrator object More...

std::string	Name () const
	return name of integrator More...

Static Public Member Functions
static IntegrationMultiDim::Type	GetType (const char *name)
	static function to get the enumeration from a string More...

static std::string	GetName (IntegrationMultiDim::Type)
	static function to get a string from the enumeration More...

Protected Member Functions
VirtualIntegratorMultiDim *	CreateIntegrator (IntegrationMultiDim::Type type, double absTol, double relTol, unsigned int ncall)

Private Member Functions
	IntegratorMultiDim (const IntegratorMultiDim &)

IntegratorMultiDim &	operator= (const IntegratorMultiDim &)

Private Attributes
VirtualIntegratorMultiDim *	fIntegrator

std::auto_ptr< IMultiGenFunction >	fFunc

#include <Math/IntegratorMultiDim.h>

Collaboration diagram for ROOT::Math::IntegratorMultiDim:

Member Typedef Documentation

typedef IntegrationMultiDim::Type ROOT::Math::IntegratorMultiDim::Type

Definition at line 64 of file IntegratorMultiDim.h.

Constructor & Destructor Documentation

ROOT::Math::IntegratorMultiDim::IntegratorMultiDim	(	IntegrationMultiDim::Type	type = `IntegrationMultiDim::kDEFAULT`,
		double	absTol = `-1`,
		double	relTol = `-1`,
		unsigned int	ncall = `0`
	)

inlineexplicit

Generic constructor of multi dimensional Integrator.

By default uses the Adaptive integration method

Parameters

type	integration type (adaptive, MC methods, etc..)
absTol	desired absolute Error
relTol	desired relative Error
size	maximum number of sub-intervals

In case no parameter values are passed the default ones used in IntegratorMultiDimOptions are used

Definition at line 77 of file IntegratorMultiDim.h.

ROOT::Math::IntegratorMultiDim::IntegratorMultiDim	(	const IMultiGenFunction &	f,
		IntegrationMultiDim::Type	type = `IntegrationMultiDim::kDEFAULT`,
		double	absTol = `-1`,
		double	relTol = `-1`,
		unsigned int	ncall = `0`
	)

inlineexplicit

Generic Constructor of multi dimensional Integrator passing a function.

By default uses the adaptive integration method

Parameters

f	integration function (multi-dim interface)
type	integration type (adaptive, MC methods, etc..)
absTol	desired absolute Error
relTol	desired relative Error
ncall	number of function calls (apply only to MC integratioon methods)

Definition at line 92 of file IntegratorMultiDim.h.

virtual ROOT::Math::IntegratorMultiDim::~IntegratorMultiDim ( )

inlinevirtual

Template Constructor of multi dimensional Integrator passing a generic function.

By default uses the adaptive integration method

Parameters

f	integration function (generic function implementin operator()(const double *)
dim	function dimension
type	integration type (adaptive, MC methods, etc..)
absTol	desired absolute Error
relTol	desired relative Error
ncall	number of function calls (apply only to MC integratioon methods)destructor

Definition at line 118 of file IntegratorMultiDim.h.

ROOT::Math::IntegratorMultiDim::IntegratorMultiDim ( const IntegratorMultiDim & )

inlineprivate

Definition at line 126 of file IntegratorMultiDim.h.

Member Function Documentation

VirtualIntegratorMultiDim * ROOT::Math::IntegratorMultiDim::CreateIntegrator	(	IntegrationMultiDim::Type	type,
		double	absTol,
		double	relTol,
		unsigned int	ncall
	)

protected

Definition at line 179 of file Integrator.cxx.

Referenced by IntegratorMultiDim().

double ROOT::Math::IntegratorMultiDim::Error ( ) const

inline

return integration error

Definition at line 172 of file IntegratorMultiDim.h.

Referenced by TF1::IntegralMultiple().

VirtualIntegratorMultiDim* ROOT::Math::IntegratorMultiDim::GetIntegrator ( )

inline

return a pointer to integrator object

Definition at line 193 of file IntegratorMultiDim.h.

std::string ROOT::Math::IntegratorMultiDim::GetName ( IntegrationMultiDim::Type type )

static

static function to get a string from the enumeration

Definition at line 91 of file Integrator.cxx.

Referenced by CreateIntegrator(), ROOT::Math::IntegratorMultiDimOptions::DefaultIntegrator(), and ROOT::Math::IntegratorMultiDimOptions::Integrator().

IntegrationMultiDim::Type ROOT::Math::IntegratorMultiDim::GetType ( const char * name )

static

static function to get the enumeration from a string

Definition at line 79 of file Integrator.cxx.

Referenced by CreateIntegrator(), GetName(), ROOT::Math::IntegratorMultiDimOptions::SetDefaultIntegrator(), and ROOT::Math::IntegratorMultiDimOptions::SetIntegrator().

double ROOT::Math::IntegratorMultiDim::Integral	(	const double *	xmin,
		const double *	xmax
	)

inline

evaluate the integral with the previously given function between xmin[] and xmax[]

Definition at line 135 of file IntegratorMultiDim.h.

Referenced by Integral(), TF1::IntegralMultiple(), and testIntegrationMultiDim().

double ROOT::Math::IntegratorMultiDim::Integral	(	const IMultiGenFunction &	f,
		const double *	xmin,
		const double *	xmax
	)

inline

evaluate the integral passing a new function

Definition at line 140 of file IntegratorMultiDim.h.

template<class Function >

double ROOT::Math::IntegratorMultiDim::Integral	(	Function &	f,
		unsigned int	dim,
		const double *	xmin,
		const double *	xmax
	)

inline

evaluate the integral passing a new generic function

Definition at line 147 of file IntegratorMultiDim.h.

std::string ROOT::Math::IntegratorMultiDim::Name ( ) const

inline

return name of integrator

Definition at line 196 of file IntegratorMultiDim.h.

IntegratorMultiDim& ROOT::Math::IntegratorMultiDim::operator= ( const IntegratorMultiDim & )

inlineprivate

Definition at line 127 of file IntegratorMultiDim.h.

ROOT::Math::IntegratorMultiDimOptions ROOT::Math::IntegratorMultiDim::Options ( ) const

inline

retrieve the options

Definition at line 190 of file IntegratorMultiDim.h.

Referenced by Name().

double ROOT::Math::IntegratorMultiDim::Result ( ) const

inline

return result of last integration

Definition at line 169 of file IntegratorMultiDim.h.

void ROOT::Math::IntegratorMultiDim::SetAbsTolerance ( double absTol )

inline

set absolute tolerance

Definition at line 184 of file IntegratorMultiDim.h.

template<class Function >

void ROOT::Math::IntegratorMultiDim::SetFunction	(	Function &	f,
		unsigned int	dim
	)

inline

set integration function using a generic function implementing the operator()(double *x) The dimension of the function is in this case required

Definition at line 158 of file IntegratorMultiDim.h.

Referenced by Integral(), IntegratorMultiDim(), and testIntegrationMultiDim().

void ROOT::Math::IntegratorMultiDim::SetFunction ( const IMultiGenFunction & f )

inline

Definition at line 164 of file IntegratorMultiDim.h.

void ROOT::Math::IntegratorMultiDim::SetOptions ( const ROOT::Math::IntegratorMultiDimOptions & opt )

inline

set the options

Definition at line 187 of file IntegratorMultiDim.h.

void ROOT::Math::IntegratorMultiDim::SetRelTolerance ( double relTol )

inline

set the relative tolerance

Definition at line 181 of file IntegratorMultiDim.h.

int ROOT::Math::IntegratorMultiDim::Status ( ) const

inline

return the Error Status of the last Integral calculation

Definition at line 175 of file IntegratorMultiDim.h.

Referenced by TF1::IntegralMultiple().

Member Data Documentation

std::auto_ptr<IMultiGenFunction> ROOT::Math::IntegratorMultiDim::fFunc

private

Definition at line 211 of file IntegratorMultiDim.h.

Referenced by SetFunction().

VirtualIntegratorMultiDim* ROOT::Math::IntegratorMultiDim::fIntegrator

private

Definition at line 210 of file IntegratorMultiDim.h.

Referenced by Error(), GetIntegrator(), Integral(), IntegratorMultiDim(), Name(), Options(), Result(), SetAbsTolerance(), SetFunction(), SetOptions(), SetRelTolerance(), Status(), and ~IntegratorMultiDim().

The documentation for this class was generated from the following files:

math/mathcore/inc/Math/IntegratorMultiDim.h
math/mathcore/src/Integrator.cxx

Public Types

Public Member Functions

Static Public Member Functions

Protected Member Functions

Private Member Functions

Private Attributes

Member Typedef Documentation

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation