| # Gaudi Framework, version v22r4 |

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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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