GaudiMath Namespace Reference

GaudiMath.h GaudiMath/GaudiMath.h. More...

Namespaces
namespace	Integration
namespace	Interpolation

Typedefs
typedef Genfun::GaudiMathImplementation::AdapterIFunction	AIDAFunction
typedef Genfun::GaudiMathImplementation::Adapter2DoubleFunction	Function2D
typedef Genfun::GaudiMathImplementation::Adapter3DoubleFunction	Function3D
typedef Genfun::GaudiMathImplementation::SimpleFunction	SimpleFunction
typedef Genfun::GaudiMathImplementation::GSLFunctionWithMode	GSLFunctionWithMode
typedef Genfun::GaudiMathImplementation::GSLFunctionWithError	GSLFunctionWithError
typedef Genfun::GaudiMathImplementation::GSLFunctionWithModeAndError	GSLFunctionWithModeAndError
typedef Genfun::AbsFunction	Function
typedef Genfun::GaudiMathImplementation::Constant	Constant
typedef Genfun::GaudiMathImplementation::NumericalDerivative	Derivative
typedef Genfun::GaudiMathImplementation::SimpleFunction	SimpleFun
typedef Genfun::GaudiMathImplementation::NumericalIndefiniteIntegral	IndIntegral
typedef Genfun::GaudiMathImplementation::NumericalDefiniteIntegral	DefIntegral
typedef Genfun::GaudiMathImplementation::SplineBase	SimpleSpline
typedef Genfun::GaudiMathImplementation::GSLSpline	Spline
typedef Genfun::GaudiMathImplementation::GSLSplineDeriv	SplineDeriv
typedef Genfun::GaudiMathImplementation::GSLSplineDeriv2	SplineDeriv2
typedef Genfun::GaudiMathImplementation::GSLSplineInteg	SplineInteg

Functions
GAUDI_API AIDAFunction	adapter (const AIDA::IFunction &function)
GAUDI_API Function2D	adapter (Function2D::Function function)
GAUDI_API Function3D	adapter (Function3D::Function function)
GAUDI_API SimpleFunction	adapter (SimpleFunction::Function1 function)
GAUDI_API SimpleFunction	adapter (const size_t dim, SimpleFunction::Function2 function)
GAUDI_API SimpleFunction	adapter (const size_t dim, SimpleFunction::Function3 function)
GAUDI_API GSLFunctionWithMode	adapter (GSLFunctionWithMode::Function function, const gsl_mode_t &mode)
GAUDI_API GSLFunctionWithError	adapter (GSLFunctionWithError::Function function)
GAUDI_API GSLFunctionWithModeAndError	adapter (GSLFunctionWithModeAndError::Function function, const gsl_mode_t &mode)
GAUDI_API double	Integral (const Genfun::AbsFunction &function, const double a, const double b, const GaudiMath::Integration::Type type=GaudiMath::Integration::Adaptive, const GaudiMath::Integration::KronrodRule rule=GaudiMath::Integration::Default, const double epsabs=1.e-10, const double epsrel=1.e-7, const size_t size=1000)
GAUDI_API double	Integral (const Genfun::AbsFunction &function, const double a, const double b, const std::vector< double > &points, const double epsabs=1e-9, const double epsrel=1.e-6, const size_t size=1000)
GAUDI_API double	Integral (const Genfun::AbsFunction &function, const double a, const GaudiMath::Integration::Inf b=GaudiMath::Integration::Infinity, const double epsabs=1e-9, const double epsrel=1.e-6, const size_t size=1000)
GAUDI_API double	Integral (const Genfun::AbsFunction &function, const GaudiMath::Integration::Inf a, const double b, const double epsabs=1e-9, const double epsrel=1.e-6, const size_t size=1000)
GAUDI_API double	Integral (const Genfun::AbsFunction &function, const GaudiMath::Integration::Inf a=GaudiMath::Integration::Infinity, const GaudiMath::Integration::Inf b=GaudiMath::Integration::Infinity, const double epsabs=1e-9, const double epsrel=1.e-6, const size_t size=1000)

Detailed Description

GaudiMath.h GaudiMath/GaudiMath.h.

Author

Vanya BELYAEV Ivan..nosp@m.Bely.nosp@m.aev@i.nosp@m.tep..nosp@m.ru

Date

2003-08-31

Typedef Documentation

typedef Genfun::GaudiMathImplementation::AdapterIFunction GaudiMath::AIDAFunction

Definition at line 18 of file Adapters.h.

typedef Genfun::GaudiMathImplementation::Constant GaudiMath::Constant

Definition at line 29 of file GaudiMath.h.

typedef Genfun::GaudiMathImplementation::NumericalDefiniteIntegral GaudiMath::DefIntegral

Definition at line 37 of file GaudiMath.h.

typedef Genfun::GaudiMathImplementation::NumericalDerivative GaudiMath::Derivative

Definition at line 31 of file GaudiMath.h.

typedef Genfun::AbsFunction GaudiMath::Function

Definition at line 26 of file GaudiMath.h.

typedef Genfun::GaudiMathImplementation::Adapter2DoubleFunction GaudiMath::Function2D

Definition at line 20 of file Adapters.h.

typedef Genfun::GaudiMathImplementation::Adapter3DoubleFunction GaudiMath::Function3D

Definition at line 22 of file Adapters.h.

typedef Genfun::GaudiMathImplementation::GSLFunctionWithError GaudiMath::GSLFunctionWithError

Definition at line 29 of file Adapters.h.

typedef Genfun::GaudiMathImplementation::GSLFunctionWithMode GaudiMath::GSLFunctionWithMode

Definition at line 27 of file Adapters.h.

typedef Genfun::GaudiMathImplementation::GSLFunctionWithModeAndError GaudiMath::GSLFunctionWithModeAndError

Definition at line 31 of file Adapters.h.

typedef Genfun::GaudiMathImplementation::NumericalIndefiniteIntegral GaudiMath::IndIntegral

Definition at line 35 of file GaudiMath.h.

typedef Genfun::GaudiMathImplementation::SimpleFunction GaudiMath::SimpleFun

Definition at line 33 of file GaudiMath.h.

typedef Genfun::GaudiMathImplementation::SimpleFunction GaudiMath::SimpleFunction

Definition at line 24 of file Adapters.h.

typedef Genfun::GaudiMathImplementation::SplineBase GaudiMath::SimpleSpline

Definition at line 40 of file GaudiMath.h.

typedef Genfun::GaudiMathImplementation::GSLSpline GaudiMath::Spline

Definition at line 42 of file GaudiMath.h.

typedef Genfun::GaudiMathImplementation::GSLSplineDeriv GaudiMath::SplineDeriv

Definition at line 44 of file GaudiMath.h.

typedef Genfun::GaudiMathImplementation::GSLSplineDeriv2 GaudiMath::SplineDeriv2

Definition at line 46 of file GaudiMath.h.

typedef Genfun::GaudiMathImplementation::GSLSplineInteg GaudiMath::SplineInteg

Definition at line 48 of file GaudiMath.h.

Function Documentation

GAUDI_API AIDAFunction GaudiMath::adapter

(

const AIDA::IFunction &

function

)

Definition at line 28 of file Adapters.cpp.

  { return AIDAFunction( function ) ; }

GAUDI_API Function2D GaudiMath::adapter

(

Function2D::Function

function

)

Definition at line 32 of file Adapters.cpp.

  { return Function2D ( function ) ; }

GAUDI_API Function3D GaudiMath::adapter

(

Function3D::Function

function

)

Definition at line 36 of file Adapters.cpp.

  { return Function3D ( function ) ; }

GAUDI_API SimpleFunction GaudiMath::adapter

(

SimpleFunction::Function1

function

)

Definition at line 40 of file Adapters.cpp.

  { return SimpleFunction ( function ) ; }

GAUDI_API SimpleFunction GaudiMath::adapter	(	const size_t	dim,
		SimpleFunction::Function2	function
	)

Definition at line 44 of file Adapters.cpp.

  { return SimpleFunction ( function , dim ) ; }

GAUDI_API SimpleFunction GaudiMath::adapter	(	const size_t	dim,
		SimpleFunction::Function3	function
	)

Definition at line 49 of file Adapters.cpp.

  { return SimpleFunction ( function , dim ) ; }

GAUDI_API GSLFunctionWithMode GaudiMath::adapter	(	GSLFunctionWithMode::Function	function,
		const gsl_mode_t &	mode
	)

Definition at line 54 of file Adapters.cpp.

  { return GSLFunctionWithMode  ( function , mode ) ; }

GAUDI_API GSLFunctionWithError GaudiMath::adapter

(

GSLFunctionWithError::Function

function

)

Definition at line 59 of file Adapters.cpp.

  { return GSLFunctionWithError ( function ) ; }

GAUDI_API GSLFunctionWithModeAndError GaudiMath::adapter	(	GSLFunctionWithModeAndError::Function	function,
		const gsl_mode_t &	mode
	)

Definition at line 63 of file Adapters.cpp.

  { return GSLFunctionWithModeAndError ( function , mode ) ; }

GAUDI_API double GaudiMath::Integral	(	const Genfun::AbsFunction &	function,
		const double	a,
		const double	b,
		const GaudiMath::Integration::Type	type = GaudiMath::Integration::Adaptive,
		const GaudiMath::Integration::KronrodRule	rule = GaudiMath::Integration::Default,
		const double	epsabs = 1.e-10,
		const double	epsrel = 1.e-7,
		const size_t	size = 1000
	)

Definition at line 28 of file Integral.cpp.

  {
    if ( 1 != function.dimensionality() )
      { throw GaudiException
          ("GaudiMath::Integral: illegal function dimension" ,
           "*GaudiMath*" , StatusCode::FAILURE ); }

    const Genfun::AbsFunction& one   =
      Genfun::GaudiMathImplementation::Constant ( 1.0 , 1 ) ;

    const Genfun::AbsFunction& cross =
      Genfun::FunctionDirectProduct (&one , &function ) ;

    const Genfun::AbsFunction& result =
      Genfun::GaudiMathImplementation::NumericalDefiniteIntegral
      ( cross , 1 , a , b, type , rule , epsabs , epsrel , size ) ;

    return result( Genfun::Argument(1) ) ;
  }

GAUDI_API double GaudiMath::Integral	(	const Genfun::AbsFunction &	function,
		const double	a,
		const double	b,
		const std::vector< double > &	points,
		const double	epsabs = 1e-9,
		const double	epsrel = 1.e-6,
		const size_t	size = 1000
	)

Definition at line 56 of file Integral.cpp.

  {

  if ( 1 != function.dimensionality() )
      { throw GaudiException
          ("GaudiMath::Integral: illegal function dimension" ,
           "*GaudiMath*" , StatusCode::FAILURE ); }

    const Genfun::AbsFunction& one   =
      Genfun::GaudiMathImplementation::Constant ( 1.0 , 1 ) ;

    const Genfun::AbsFunction& cross =
      Genfun::FunctionDirectProduct (&one , &function ) ;

    const Genfun::AbsFunction& result =
      Genfun::GaudiMathImplementation::NumericalDefiniteIntegral
      ( cross , 1 , a , b, points , epsabs , epsrel , size ) ;

    return result( Genfun::Argument(1) ) ;
  }

GAUDI_API double GaudiMath::Integral	(	const Genfun::AbsFunction &	function,
		const double	a,
		const GaudiMath::Integration::Inf	b = GaudiMath::Integration::Infinity,
		const double	epsabs = 1e-9,
		const double	epsrel = 1.e-6,
		const size_t	size = 1000
	)

Definition at line 84 of file Integral.cpp.

  {
    if ( 1 != function.dimensionality() )
      { throw GaudiException
          ("GaudiMath::Integral: illegal function dimension" ,
           "*GaudiMath*" , StatusCode::FAILURE ); }

    const Genfun::AbsFunction& one   =
      Genfun::GaudiMathImplementation::Constant ( 1.0 , 1 ) ;

    const Genfun::AbsFunction& cross =
      Genfun::FunctionDirectProduct (&one , &function ) ;

    const Genfun::AbsFunction& result =
      Genfun::GaudiMathImplementation::NumericalDefiniteIntegral
      ( cross , 1 , a , b , epsabs , epsrel , size ) ;

    return result( Genfun::Argument(1) ) ;
  }

GAUDI_API double GaudiMath::Integral	(	const Genfun::AbsFunction &	function,
		const GaudiMath::Integration::Inf	a,
		const double	b,
		const double	epsabs = 1e-9,
		const double	epsrel = 1.e-6,
		const size_t	size = 1000
	)

Definition at line 110 of file Integral.cpp.

  {
    if ( 1 != function.dimensionality() )
      { throw GaudiException
          ("GaudiMath::Integral: illegal function dimension" ,
           "*GaudiMath*" , StatusCode::FAILURE ); }

    const Genfun::AbsFunction& one   =
      Genfun::GaudiMathImplementation::Constant ( 1.0 , 1 ) ;

    const Genfun::AbsFunction& cross =
      Genfun::FunctionDirectProduct (&one , &function ) ;

    const Genfun::AbsFunction& result =
      Genfun::GaudiMathImplementation::NumericalDefiniteIntegral
      ( cross , 1 , a , b , epsabs , epsrel , size ) ;

    return result( Genfun::Argument(1) ) ;
  }

GAUDI_API double GaudiMath::Integral	(	const Genfun::AbsFunction &	function,
		const GaudiMath::Integration::Inf	a = GaudiMath::Integration::Infinity,
		const GaudiMath::Integration::Inf	b = GaudiMath::Integration::Infinity,
		const double	epsabs = 1e-9,
		const double	epsrel = 1.e-6,
		const size_t	size = 1000
	)

Definition at line 138 of file Integral.cpp.

  {
    if ( 1 != function.dimensionality() )
      { throw GaudiException
          ("GaudiMath::Integral: illegal function dimension" ,
           "*GaudiMath*" , StatusCode::FAILURE ); }

    const Genfun::AbsFunction& one   =
      Genfun::GaudiMathImplementation::Constant ( 1.0 , 1 ) ;

    const Genfun::AbsFunction& cross =
      Genfun::FunctionDirectProduct (&one , &function ) ;

    // FIXME: (MCl) the static_cast below are needed to avoid warnings and to
    // match the signature in NumericalDefiniteIntegral.h (around line 288).
    const Genfun::AbsFunction& result =
      Genfun::GaudiMathImplementation::NumericalDefiniteIntegral
      ( cross , 1 , static_cast<float>(epsabs) , static_cast<float>(epsrel) , size ) ;

    return result( Genfun::Argument(1) ) ;
  }