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# Splines.h

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    00001 // $Id: Splines.h,v 1.2 2005/11/25 10:27:03 mato Exp $
    00002 // ============================================================================
    00003 #ifndef GAUDIMATH_SPLINES_H
    00004 #define GAUDIMATH_SPLINES_H 1
    00005 // ============================================================================
    00006 // Include files
    00007 // ============================================================================
    00008 // STD/STL
    00009 // ============================================================================
    00010 #include <vector>
    00011 #include <utility>
    00012 #include <algorithm>
    00013 // ============================================================================
    00014 // from CLHEP
    00015 // ============================================================================
    00016 #include "CLHEP/GenericFunctions/GenericFunctions.hh"
    00017 #include "CLHEP/GenericFunctions/Argument.hh"
    00018 #include "CLHEP/GenericFunctions/AbsFunction.hh"
    00019 // ============================================================================
    00020 // GaudiGSL/GaudiMath
    00021 // ============================================================================
    00022 #include "GaudiMath/Interpolation.h"
    00023 // ============================================================================
    00024 // GSL
    00025 // ============================================================================
    00026 #include "gsl/gsl_interp.h"
    00027 #include "gsl/gsl_spline.h"
    00028 // ============================================================================
    00029 #include "GaudiKernel/Kernel.h"
    00030
    00031 namespace Genfun
    00032 {
    00033   namespace GaudiMathImplementation
    00034   {
    00035
    00036     class  GAUDI_API SplineBase
    00037     {
    00038     public:
    00039       typedef std::vector<double>                    Data1D ;
    00040       typedef std::vector<std::pair<double,double> > Data2D ;
    00041     public:
    00047       SplineBase
    00048       ( const Data1D&                        x    ,
    00049         const Data1D&                        y    ,
    00050         const GaudiMath::Interpolation::Type type ) ;
    00055       SplineBase
    00056       ( const Data2D&                        data ,
    00057         const GaudiMath::Interpolation::Type type ) ;
    00064       template <class DATAX, class DATAY>
    00065       SplineBase
    00066       ( const GaudiMath::Interpolation::Type type    ,
    00067         DATAX                                begin_x ,
    00068         DATAX                                end_x   ,
    00069         DATAY                                begin_y )
    00070         : m_init      ( false           )
    00071         , m_dim       ( end_x - begin_x )
    00072         , m_x         ( new double[ end_x - begin_x ] )
    00073         , m_y         ( new double[ end_x - begin_x ] )
    00074         , m_spline    ( 0    )
    00075         , m_accel     ( 0    )
    00076         , m_type      ( type )
    00077       {
    00078         std::copy ( begin_x , end_x                         , m_x ) ;
    00079         std::copy ( begin_y , begin_y + ( end_x - begin_x ) , m_y ) ;
    00080       }
    00088       template <class DATA>
    00089       SplineBase
    00090       ( const GaudiMath::Interpolation::Type type  ,
    00091         DATA                                 begin ,
    00092         DATA                                 end   )
    00093         : m_init      ( false        )
    00094         , m_dim       ( end - begin  )
    00095         , m_x         ( new double[ end - begin ] )
    00096         , m_y         ( new double[ end - begin ] )
    00097         , m_spline    ( 0    )
    00098         , m_accel     ( 0    )
    00099         , m_type      ( type )
    00100       {
    00101         double* _x = m_x ;
    00102         double* _y = m_y ;
    00103         for ( DATA it = begin ; end != it ; ++ it )
    00104         {
    00105           *_x = it -> first  ; ++_x ;
    00106           *_y = it -> second ; ++_y ;
    00107         };
    00108       }
    00110       SplineBase( const SplineBase& ) ;
    00112       virtual ~SplineBase();
    00113     public:
    00115       double eval   ( const double x ) const ;
    00117       double deriv  ( const double x ) const ;
    00119       double deriv2 ( const double x ) const ;
    00121       double integ  ( const double a , const double b ) const ;
    00122     protected:
    00123       // initialize
    00124       void initialize () const ;
    00125     private:
    00126       // default constructor is disabled
    00127       SplineBase() ;
    00128       // assigenement operator  is disabled
    00129       SplineBase& operator=( const SplineBase& ) ;
    00130     private:
    00131       mutable bool                   m_init   ;
    00132       size_t                         m_dim    ;
    00133       double*                        m_x      ;
    00134       double*                        m_y      ;
    00135       mutable gsl_spline*            m_spline ;
    00136       mutable gsl_interp_accel*      m_accel  ;
    00137       GaudiMath::Interpolation::Type m_type   ;
    00138     };
    00139
    00140     class GAUDI_API GSLSpline : public AbsFunction
    00141     {
    00142     public:
    00143       typedef SplineBase::Data1D Data1D ;
    00144       typedef SplineBase::Data2D Data2D ;
    00145     public:
    00147       FUNCTION_OBJECT_DEF( GSLSpline )
    00148     public:
    00169       GSLSpline
    00170       ( const Data1D&                        x    ,
    00171         const Data1D&                        y    ,
    00172         const GaudiMath::Interpolation::Type type ) ;
    00191       GSLSpline
    00192       ( const Data2D&                        data ,
    00193         const GaudiMath::Interpolation::Type type ) ;
    00220       template <class DATAX, class DATAY>
    00221       GSLSpline
    00222       ( const GaudiMath::Interpolation::Type type    ,
    00223         DATAX                                begin_x ,
    00224         DATAX                                end_x   ,
    00225         DATAY                                begin_y )
    00226         : AbsFunction ( )
    00227         , m_spline( type , begin_x , end_x , begin_y )
    00228       {}
    00240       template <class DATA>
    00241       GSLSpline
    00242       ( const GaudiMath::Interpolation::Type type  ,
    00243         DATA                                 begin ,
    00244         DATA                                 end   )
    00245         : AbsFunction ( )
    00246         , m_spline( type , begin , end )
    00247       {}
    00249       GSLSpline ( const SplineBase& ) ;
    00251       GSLSpline ( const GSLSpline& ) ;
    00253       virtual ~GSLSpline() ;
    00254     public:
    00256       virtual double operator() ( double a          ) const ;
    00258       virtual double operator() ( const Argument& x ) const ;
    00259       virtual unsigned int dimensionality () const { return 1   ; }
    00261       virtual bool  hasAnalyticDerivative() const { return true ; }
    00263       virtual Genfun::Derivative partial( unsigned int i  ) const ;
    00264     public:
    00266       inline   const SplineBase& spline() const { return m_spline ; }
    00268       operator const SplineBase&       () const { return spline() ; }
    00269     private:
    00271       GSLSpline() ;
    00273       GSLSpline& operator=( const GSLSpline& ) ;
    00274     private:
    00275       // the actual spline function
    00276       SplineBase m_spline ;
    00277     };
    00278
    00279     class GAUDI_API GSLSplineDeriv : public AbsFunction
    00280     {
    00281     public:
    00282       typedef SplineBase::Data1D Data1D ;
    00283       typedef SplineBase::Data2D Data2D ;
    00284     public:
    00286       FUNCTION_OBJECT_DEF( GSLSplineDeriv )
    00287     public:
    00308       GSLSplineDeriv
    00309       ( const Data1D&                        x    ,
    00310         const Data1D&                        y    ,
    00311         const GaudiMath::Interpolation::Type type ) ;
    00330       GSLSplineDeriv
    00331       ( const Data2D&                        data ,
    00332         const GaudiMath::Interpolation::Type type ) ;
    00359       template <class DATAX, class DATAY>
    00360       GSLSplineDeriv
    00361       ( const GaudiMath::Interpolation::Type type    ,
    00362         DATAX                                begin_x ,
    00363         DATAX                                end_x   ,
    00364         DATAY                                begin_y )
    00365         : AbsFunction ( )
    00366         , m_spline( type , begin_x , end_x , begin_y )
    00367       {}
    00379       template <class DATA>
    00380       GSLSplineDeriv
    00381       ( const GaudiMath::Interpolation::Type type  ,
    00382         DATA                                 begin ,
    00383         DATA                                 end   )
    00384         : AbsFunction ( )
    00385         , m_spline( type , begin , end )
    00386       {}
    00388       GSLSplineDeriv ( const SplineBase&     ) ;
    00390       GSLSplineDeriv ( const GSLSplineDeriv& ) ;
    00392       virtual ~GSLSplineDeriv() ;
    00393     public:
    00395       virtual double operator() ( double a          ) const ;
    00397       virtual double operator() ( const Argument& x ) const ;
    00398       virtual unsigned int dimensionality () const { return 1   ; }
    00400       virtual bool  hasAnalyticDerivative() const { return true ; }
    00402       virtual Genfun::Derivative partial( unsigned int i  ) const ;
    00403     public:
    00405       inline   const SplineBase& spline() const { return m_spline ; }
    00407       operator const SplineBase&       () const { return spline() ; }
    00408     private:
    00410       GSLSplineDeriv() ;
    00412       GSLSplineDeriv& operator=( const GSLSplineDeriv& ) ;
    00413     private:
    00414       // the actual spline function
    00415       SplineBase m_spline ;
    00416     };
    00417
    00418     class GAUDI_API GSLSplineDeriv2 : public AbsFunction
    00419     {
    00420     public:
    00421       typedef SplineBase::Data1D Data1D ;
    00422       typedef SplineBase::Data2D Data2D ;
    00423     public:
    00425       FUNCTION_OBJECT_DEF( GSLSplineDeriv2 )
    00426     public:
    00447       GSLSplineDeriv2
    00448       ( const Data1D&                        x    ,
    00449         const Data1D&                        y    ,
    00450         const GaudiMath::Interpolation::Type type ) ;
    00469       GSLSplineDeriv2
    00470       ( const Data2D&                        data ,
    00471         const GaudiMath::Interpolation::Type type ) ;
    00498       template <class DATAX, class DATAY>
    00499       GSLSplineDeriv2
    00500       ( const GaudiMath::Interpolation::Type type    ,
    00501         DATAX                                begin_x ,
    00502         DATAX                                end_x   ,
    00503         DATAY                                begin_y )
    00504         : AbsFunction ( )
    00505         , m_spline( type , begin_x , end_x , begin_y )
    00506       {}
    00518       template <class DATA>
    00519       GSLSplineDeriv2
    00520       ( const GaudiMath::Interpolation::Type type  ,
    00521         DATA                                 begin ,
    00522         DATA                                 end   )
    00523         : AbsFunction ( )
    00524         , m_spline( type , begin , end )
    00525       {}
    00527       GSLSplineDeriv2 ( const SplineBase&      ) ;
    00529       GSLSplineDeriv2 ( const GSLSplineDeriv2& ) ;
    00531       virtual ~GSLSplineDeriv2() ;
    00532     public:
    00534       virtual double operator() ( double a          ) const ;
    00536       virtual double operator() ( const Argument& x ) const ;
    00537       virtual unsigned int dimensionality () const { return 1   ; }
    00539       virtual bool  hasAnalyticDerivative() const { return true ; }
    00541       virtual Genfun::Derivative partial( unsigned int i  ) const ;
    00542     public:
    00544       inline   const SplineBase& spline() const { return m_spline ; }
    00546       operator const SplineBase&       () const { return spline() ; }
    00547     private:
    00549       GSLSplineDeriv2() ;
    00551       GSLSplineDeriv2& operator=( const GSLSplineDeriv2& ) ;
    00552     private:
    00553       // the actual spline function
    00554       SplineBase m_spline ;
    00555     };
    00556
    00557
    00558     class GAUDI_API GSLSplineInteg : public AbsFunction
    00559     {
    00560     public:
    00561       typedef SplineBase::Data1D Data1D ;
    00562       typedef SplineBase::Data2D Data2D ;
    00563     public:
    00565       FUNCTION_OBJECT_DEF( GSLSplineInteg )
    00566     public:
    00587       GSLSplineInteg
    00588       ( const Data1D&                        x        ,
    00589         const Data1D&                        y        ,
    00590         const GaudiMath::Interpolation::Type type     ,
    00591         const double                         low  = 0 ) ;
    00611       GSLSplineInteg
    00612       ( const Data2D&                        data     ,
    00613         const GaudiMath::Interpolation::Type type     ,
    00614         const double                         low  = 0 ) ;
    00642       template <class DATAX, class DATAY>
    00643       GSLSplineInteg
    00644       ( const GaudiMath::Interpolation::Type type    ,
    00645         DATAX                                begin_x ,
    00646         DATAX                                end_x   ,
    00647         DATAY                                begin_y ,
    00648         const double                         low     )
    00649         : AbsFunction (      )
    00650         , m_spline    ( type , begin_x , end_x , begin_y )
    00651         , m_low       ( low  )
    00652       {}
    00665       template <class DATA>
    00666       GSLSplineInteg
    00667       ( const GaudiMath::Interpolation::Type type  ,
    00668         DATA                                 begin ,
    00669         DATA                                 end   ,
    00670         const double                         low   )
    00671         : AbsFunction (      )
    00672         , m_spline    ( type , begin , end )
    00673         , m_low       ( low  )
    00674       {}
    00676       GSLSplineInteg ( const SplineBase&              ,
    00677                        const double           low = 0 ) ;
    00679       GSLSplineInteg ( const GSLSplineInteg&      ) ;
    00681       virtual ~GSLSplineInteg () ;
    00682     public:
    00684       virtual double operator() ( double a          ) const ;
    00686       virtual double operator() ( const Argument& x ) const ;
    00687       virtual unsigned int dimensionality () const { return 1   ; }
    00689       virtual bool  hasAnalyticDerivative() const { return true ; }
    00691       virtual Genfun::Derivative partial( unsigned int i  ) const ;
    00692     public:
    00694       inline   const SplineBase& spline() const { return m_spline ; }
    00696       operator const SplineBase&       () const { return spline() ; }
    00697     private:
    00699       GSLSplineInteg () ;
    00701       GSLSplineInteg& operator=( const GSLSplineInteg& ) ;
    00702     private:
    00703       // the actual spline function
    00704       SplineBase m_spline ;
    00705       double     m_low    ;
    00706     };
    00707
    00708   }
    00709 }
    00710
    00711
    00712 #endif // GAUDIMATH_SPLINES_H
    00713 // ============================================================================