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Splines.h
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1 // $Id: Splines.h,v 1.2 2005/11/25 10:27:03 mato Exp $
2 // ============================================================================
3 #ifndef GAUDIMATH_SPLINES_H
4 #define GAUDIMATH_SPLINES_H 1
5 // ============================================================================
6 // Include files
7 // ============================================================================
8 // STD/STL
9 // ============================================================================
10 #include <vector>
11 #include <utility>
12 #include <algorithm>
13 // ============================================================================
14 // from CLHEP
15 // ============================================================================
16 #include "CLHEP/GenericFunctions/GenericFunctions.hh"
17 #include "CLHEP/GenericFunctions/Argument.hh"
18 #include "CLHEP/GenericFunctions/AbsFunction.hh"
19 // ============================================================================
20 // GaudiGSL/GaudiMath
21 // ============================================================================
22 #include "GaudiMath/Interpolation.h"
23 // ============================================================================
24 // GSL
25 // ============================================================================
26 #include "gsl/gsl_interp.h"
27 #include "gsl/gsl_spline.h"
28 // ============================================================================
29 #include "GaudiKernel/Kernel.h"
30 
31 namespace Genfun
32 {
33  namespace GaudiMathImplementation
34  {
35 
36  class GAUDI_API SplineBase
37  {
38  public:
39  typedef std::vector<double> Data1D ;
40  typedef std::vector<std::pair<double,double> > Data2D ;
41  public:
47  SplineBase
48  ( const Data1D& x ,
49  const Data1D& y ,
50  const GaudiMath::Interpolation::Type type ) ;
55  SplineBase
56  ( const Data2D& data ,
57  const GaudiMath::Interpolation::Type type ) ;
64  template <class DATAX, class DATAY>
65  SplineBase
66  ( const GaudiMath::Interpolation::Type type ,
67  DATAX begin_x ,
68  DATAX end_x ,
69  DATAY begin_y )
70  : m_init ( false )
71  , m_dim ( end_x - begin_x )
72  , m_x ( new double[ end_x - begin_x ] )
73  , m_y ( new double[ end_x - begin_x ] )
74  , m_spline ( 0 )
75  , m_accel ( 0 )
76  , m_type ( type )
77  {
78  std::copy ( begin_x , end_x , m_x ) ;
79  std::copy ( begin_y , begin_y + ( end_x - begin_x ) , m_y ) ;
80  }
88  template <class DATA>
89  SplineBase
90  ( const GaudiMath::Interpolation::Type type ,
91  DATA begin ,
92  DATA end )
93  : m_init ( false )
94  , m_dim ( end - begin )
95  , m_x ( new double[ end - begin ] )
96  , m_y ( new double[ end - begin ] )
97  , m_spline ( 0 )
98  , m_accel ( 0 )
99  , m_type ( type )
100  {
101  double* _x = m_x ;
102  double* _y = m_y ;
103  for ( DATA it = begin ; end != it ; ++ it )
104  {
105  *_x = it -> first ; ++_x ;
106  *_y = it -> second ; ++_y ;
107  };
108  }
110  SplineBase( const SplineBase& ) ;
112  virtual ~SplineBase();
113  public:
115  double eval ( const double x ) const ;
117  double deriv ( const double x ) const ;
119  double deriv2 ( const double x ) const ;
121  double integ ( const double a , const double b ) const ;
122  protected:
123  // initialize
124  void initialize () const ;
125  private:
126  // default constructor is disabled
127  SplineBase() ;
128  // assigenement operator is disabled
129  SplineBase& operator=( const SplineBase& ) ;
130  private:
131  mutable bool m_init ;
132  size_t m_dim ;
133  double* m_x ;
134  double* m_y ;
135  mutable gsl_spline* m_spline ;
136  mutable gsl_interp_accel* m_accel ;
137  GaudiMath::Interpolation::Type m_type ;
138  };
139 
140  class GAUDI_API GSLSpline : public AbsFunction
141  {
142  public:
143  typedef SplineBase::Data1D Data1D ;
144  typedef SplineBase::Data2D Data2D ;
145  public:
147  FUNCTION_OBJECT_DEF( GSLSpline )
148  public:
169  GSLSpline
170  ( const Data1D& x ,
171  const Data1D& y ,
172  const GaudiMath::Interpolation::Type type ) ;
191  GSLSpline
192  ( const Data2D& data ,
193  const GaudiMath::Interpolation::Type type ) ;
220  template <class DATAX, class DATAY>
221  GSLSpline
222  ( const GaudiMath::Interpolation::Type type ,
223  DATAX begin_x ,
224  DATAX end_x ,
225  DATAY begin_y )
226  : AbsFunction ( )
227  , m_spline( type , begin_x , end_x , begin_y )
228  {}
240  template <class DATA>
241  GSLSpline
242  ( const GaudiMath::Interpolation::Type type ,
243  DATA begin ,
244  DATA end )
245  : AbsFunction ( )
246  , m_spline( type , begin , end )
247  {}
249  GSLSpline ( const SplineBase& ) ;
251  GSLSpline ( const GSLSpline& ) ;
253  virtual ~GSLSpline() ;
254  public:
256  virtual double operator() ( double a ) const ;
258  virtual double operator() ( const Argument& x ) const ;
259  virtual unsigned int dimensionality () const { return 1 ; }
261  virtual bool hasAnalyticDerivative() const { return true ; }
263  virtual Genfun::Derivative partial( unsigned int i ) const ;
264  public:
266  inline const SplineBase& spline() const { return m_spline ; }
268  operator const SplineBase& () const { return spline() ; }
269  private:
271  GSLSpline() ;
273  GSLSpline& operator=( const GSLSpline& ) ;
274  private:
275  // the actual spline function
276  SplineBase m_spline ;
277  };
278 
279  class GAUDI_API GSLSplineDeriv : public AbsFunction
280  {
281  public:
282  typedef SplineBase::Data1D Data1D ;
283  typedef SplineBase::Data2D Data2D ;
284  public:
286  FUNCTION_OBJECT_DEF( GSLSplineDeriv )
287  public:
308  GSLSplineDeriv
309  ( const Data1D& x ,
310  const Data1D& y ,
311  const GaudiMath::Interpolation::Type type ) ;
330  GSLSplineDeriv
331  ( const Data2D& data ,
332  const GaudiMath::Interpolation::Type type ) ;
359  template <class DATAX, class DATAY>
360  GSLSplineDeriv
361  ( const GaudiMath::Interpolation::Type type ,
362  DATAX begin_x ,
363  DATAX end_x ,
364  DATAY begin_y )
365  : AbsFunction ( )
366  , m_spline( type , begin_x , end_x , begin_y )
367  {}
379  template <class DATA>
380  GSLSplineDeriv
381  ( const GaudiMath::Interpolation::Type type ,
382  DATA begin ,
383  DATA end )
384  : AbsFunction ( )
385  , m_spline( type , begin , end )
386  {}
388  GSLSplineDeriv ( const SplineBase& ) ;
390  GSLSplineDeriv ( const GSLSplineDeriv& ) ;
392  virtual ~GSLSplineDeriv() ;
393  public:
395  virtual double operator() ( double a ) const ;
397  virtual double operator() ( const Argument& x ) const ;
398  virtual unsigned int dimensionality () const { return 1 ; }
400  virtual bool hasAnalyticDerivative() const { return true ; }
402  virtual Genfun::Derivative partial( unsigned int i ) const ;
403  public:
405  inline const SplineBase& spline() const { return m_spline ; }
407  operator const SplineBase& () const { return spline() ; }
408  private:
410  GSLSplineDeriv() ;
412  GSLSplineDeriv& operator=( const GSLSplineDeriv& ) ;
413  private:
414  // the actual spline function
415  SplineBase m_spline ;
416  };
417 
418  class GAUDI_API GSLSplineDeriv2 : public AbsFunction
419  {
420  public:
421  typedef SplineBase::Data1D Data1D ;
422  typedef SplineBase::Data2D Data2D ;
423  public:
425  FUNCTION_OBJECT_DEF( GSLSplineDeriv2 )
426  public:
447  GSLSplineDeriv2
448  ( const Data1D& x ,
449  const Data1D& y ,
450  const GaudiMath::Interpolation::Type type ) ;
469  GSLSplineDeriv2
470  ( const Data2D& data ,
471  const GaudiMath::Interpolation::Type type ) ;
498  template <class DATAX, class DATAY>
499  GSLSplineDeriv2
500  ( const GaudiMath::Interpolation::Type type ,
501  DATAX begin_x ,
502  DATAX end_x ,
503  DATAY begin_y )
504  : AbsFunction ( )
505  , m_spline( type , begin_x , end_x , begin_y )
506  {}
518  template <class DATA>
519  GSLSplineDeriv2
520  ( const GaudiMath::Interpolation::Type type ,
521  DATA begin ,
522  DATA end )
523  : AbsFunction ( )
524  , m_spline( type , begin , end )
525  {}
527  GSLSplineDeriv2 ( const SplineBase& ) ;
529  GSLSplineDeriv2 ( const GSLSplineDeriv2& ) ;
531  virtual ~GSLSplineDeriv2() ;
532  public:
534  virtual double operator() ( double a ) const ;
536  virtual double operator() ( const Argument& x ) const ;
537  virtual unsigned int dimensionality () const { return 1 ; }
539  virtual bool hasAnalyticDerivative() const { return true ; }
541  virtual Genfun::Derivative partial( unsigned int i ) const ;
542  public:
544  inline const SplineBase& spline() const { return m_spline ; }
546  operator const SplineBase& () const { return spline() ; }
547  private:
549  GSLSplineDeriv2() ;
551  GSLSplineDeriv2& operator=( const GSLSplineDeriv2& ) ;
552  private:
553  // the actual spline function
554  SplineBase m_spline ;
555  };
556 
557 
558  class GAUDI_API GSLSplineInteg : public AbsFunction
559  {
560  public:
561  typedef SplineBase::Data1D Data1D ;
562  typedef SplineBase::Data2D Data2D ;
563  public:
565  FUNCTION_OBJECT_DEF( GSLSplineInteg )
566  public:
587  GSLSplineInteg
588  ( const Data1D& x ,
589  const Data1D& y ,
590  const GaudiMath::Interpolation::Type type ,
591  const double low = 0 ) ;
611  GSLSplineInteg
612  ( const Data2D& data ,
613  const GaudiMath::Interpolation::Type type ,
614  const double low = 0 ) ;
642  template <class DATAX, class DATAY>
643  GSLSplineInteg
644  ( const GaudiMath::Interpolation::Type type ,
645  DATAX begin_x ,
646  DATAX end_x ,
647  DATAY begin_y ,
648  const double low )
649  : AbsFunction ( )
650  , m_spline ( type , begin_x , end_x , begin_y )
651  , m_low ( low )
652  {}
665  template <class DATA>
666  GSLSplineInteg
667  ( const GaudiMath::Interpolation::Type type ,
668  DATA begin ,
669  DATA end ,
670  const double low )
671  : AbsFunction ( )
672  , m_spline ( type , begin , end )
673  , m_low ( low )
674  {}
676  GSLSplineInteg ( const SplineBase& ,
677  const double low = 0 ) ;
679  GSLSplineInteg ( const GSLSplineInteg& ) ;
681  virtual ~GSLSplineInteg () ;
682  public:
684  virtual double operator() ( double a ) const ;
686  virtual double operator() ( const Argument& x ) const ;
687  virtual unsigned int dimensionality () const { return 1 ; }
689  virtual bool hasAnalyticDerivative() const { return true ; }
691  virtual Genfun::Derivative partial( unsigned int i ) const ;
692  public:
694  inline const SplineBase& spline() const { return m_spline ; }
696  operator const SplineBase& () const { return spline() ; }
697  private:
699  GSLSplineInteg () ;
701  GSLSplineInteg& operator=( const GSLSplineInteg& ) ;
702  private:
703  // the actual spline function
704  SplineBase m_spline ;
705  double m_low ;
706  };
707 
708  }
709 }
710 
711 
712 #endif // GAUDIMATH_SPLINES_H
713 // ============================================================================
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