Geant4  10.03.p03
 All Classes Namespaces Files Functions Variables Typedefs Enumerations Enumerator Friends Macros Groups Pages
G4SimpleIntegration.hh
Go to the documentation of this file.
1 //
2 // ********************************************************************
3 // * License and Disclaimer *
4 // * *
5 // * The Geant4 software is copyright of the Copyright Holders of *
6 // * the Geant4 Collaboration. It is provided under the terms and *
7 // * conditions of the Geant4 Software License, included in the file *
8 // * LICENSE and available at http://cern.ch/geant4/license . These *
9 // * include a list of copyright holders. *
10 // * *
11 // * Neither the authors of this software system, nor their employing *
12 // * institutes,nor the agencies providing financial support for this *
13 // * work make any representation or warranty, express or implied, *
14 // * regarding this software system or assume any liability for its *
15 // * use. Please see the license in the file LICENSE and URL above *
16 // * for the full disclaimer and the limitation of liability. *
17 // * *
18 // * This code implementation is the result of the scientific and *
19 // * technical work of the GEANT4 collaboration. *
20 // * By using, copying, modifying or distributing the software (or *
21 // * any work based on the software) you agree to acknowledge its *
22 // * use in resulting scientific publications, and indicate your *
23 // * acceptance of all terms of the Geant4 Software license. *
24 // ********************************************************************
25 //
26 //
27 // $Id: G4SimpleIntegration.hh 69546 2013-05-08 09:50:34Z gcosmo $
28 //
29 // Class description:
30 //
31 // Class for realisation of simple numerical methodes for integration of
32 // functions with signature: double f(double). The methods based mainly on
33 // algorithms given in the book :
34 // An introduction to NUMERICAL METHODS IN C++,
35 // B.H. Flowers, Claredon Press, Oxford, 1995.
36 //
37 // --------------------------- Member data ----------------------------
38 //
39 // fFunction - pointer to the function to be integrated
40 // fTolerance - accuracy of integration in Adaptive Gauss method
41 // fMaxDepth = 100 - constant maximum iteration depth for
42 // Adaptive Gauss method
43 //
44 // --------------------------- Methods --------------------------------
45 //
46 // Trapezoidal, MidPoint, Gauss and Simpson(double a,double b,int n)
47 // - integrate function pointed by fFunction from a to b by n iterations,
48 // i.e. with Step (b-a)/n according to the correspondent method.
49 //
50 // AdaptGausIntegration(double a, double b)
51 // - integrate function from a to be with accuracy <= fTolerance
52 
53 // ----------------------------- History ------------------------------
54 //
55 // 26.03.97 V.Grichine ( Vladimir.Grichine@cern.ch )
56 
57 #ifndef G4SIMPLEINTEGRATION_HH
58 #define G4SIMPLEINTEGRATION_HH
59 
60 #include "G4Types.hh"
61 
62 typedef G4double (*function)(G4double) ;
63 
65 {
66  public:
67 
68  explicit G4SimpleIntegration( function pFunction ) ;
69 
70  G4SimpleIntegration( function pFunction,
71  G4double pTolerance ) ;
72 
74 
75  // Simple integration methods
76 
77  G4double Trapezoidal(G4double xInitial,
78  G4double xFinal,
79  G4int iterationNumber ) ;
80 
81  G4double MidPoint(G4double xInitial,
82  G4double xFinal,
83  G4int iterationNumber ) ;
84 
85  G4double Gauss(G4double xInitial,
86  G4double xFinal,
87  G4int iterationNumber ) ;
88 
89  G4double Simpson(G4double xInitial,
90  G4double xFinal,
91  G4int iterationNumber ) ;
92 
93  // Adaptive Gauss integration with accuracy ~ fTolerance
94 
96  G4double xFinal ) ;
97 
98  protected:
99 
100  G4double Gauss( G4double xInitial,
101  G4double xFinal ) ;
102 
103  void AdaptGauss( G4double xInitial,
104  G4double xFinal,
105  G4double& sum,
106  G4int& depth ) ;
107  private:
108 
110  G4SimpleIntegration& operator=(const G4SimpleIntegration&);
111  // Private copy constructor and assignment operator.
112 
113  private:
114 
115  function fFunction ;
116  G4double fTolerance ;
117  const G4int fMaxDepth ;
118 };
119 
120 #endif
G4double MidPoint(G4double xInitial, G4double xFinal, G4int iterationNumber)
G4SimpleIntegration(function pFunction)
G4double Gauss(G4double xInitial, G4double xFinal, G4int iterationNumber)
G4double AdaptGaussIntegration(G4double xInitial, G4double xFinal)
int G4int
Definition: G4Types.hh:78
void AdaptGauss(G4double xInitial, G4double xFinal, G4double &sum, G4int &depth)
G4double Simpson(G4double xInitial, G4double xFinal, G4int iterationNumber)
G4double Trapezoidal(G4double xInitial, G4double xFinal, G4int iterationNumber)
double G4double
Definition: G4Types.hh:76