Gaudi Framework, version v23r2
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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.Belyaev@itep.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

AIDAFunction GaudiMath::adapter ( const AIDA::IFunction &  function )

Definition at line 28 of file Adapters.cpp.

  { return AIDAFunction( function ) ; }
Function2D GaudiMath::adapter ( Function2D::Function  function )

Definition at line 32 of file Adapters.cpp.

  { return Function2D ( function ) ; }
SimpleFunction GaudiMath::adapter ( SimpleFunction::Function1  function )

Definition at line 40 of file Adapters.cpp.

  { return SimpleFunction ( function ) ; }
GSLFunctionWithError GaudiMath::adapter ( GSLFunctionWithError::Function  function )

Definition at line 59 of file Adapters.cpp.

  { return GSLFunctionWithError ( function ) ; }
GSLFunctionWithModeAndError GaudiMath::adapter ( GSLFunctionWithModeAndError::Function  function,
const gsl_mode_t &  mode 
)

Definition at line 63 of file Adapters.cpp.

  { return GSLFunctionWithModeAndError ( function , mode ) ; }
SimpleFunction GaudiMath::adapter ( const size_t  dim,
SimpleFunction::Function2  function 
)

Definition at line 44 of file Adapters.cpp.

  { return SimpleFunction ( function , dim ) ; }
Function3D GaudiMath::adapter ( Function3D::Function  function )

Definition at line 36 of file Adapters.cpp.

  { return Function3D ( function ) ; }
SimpleFunction GaudiMath::adapter ( const size_t  dim,
SimpleFunction::Function3  function 
)

Definition at line 49 of file Adapters.cpp.

  { return SimpleFunction ( function , dim ) ; }
GSLFunctionWithMode GaudiMath::adapter ( GSLFunctionWithMode::Function  function,
const gsl_mode_t &  mode 
)

Definition at line 54 of file Adapters.cpp.

  { return GSLFunctionWithMode  ( function , mode ) ; }
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) ) ;
  }
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) ) ;
  }
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) ) ;
  }
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) ) ;
  }
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) ) ;
  }
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