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25 //
26 // G4Integrator
27 //
28 // Class description:
29 //
30 // Template class collecting integrator methods for generic funtions.
31
32 // Author: V.Grichine, 04.09.1999 - First implementation based on
33 // G4SimpleIntegration class with H.P.Wellisch, G.Cosmo, and
34 // E.TCherniaev advises
35 // --------------------------------------------------------------------
36 #ifndef G4INTEGRATOR_HH
37 #define G4INTEGRATOR_HH 1
38
39 #include "G4Types.hh"
40 #include <CLHEP/Units/PhysicalConstants.h>
41 #include <cmath>
42
43 template <class T, class F>
44 class G4Integrator
45 {
46 public:
47 G4Integrator() { ; }
48 ~G4Integrator() { ; }
49
50 G4double Simpson(T& typeT, F f, G4double a, G4double b, G4int n);
51 G4double Simpson(T* ptrT, F f, G4double a, G4double b, G4int n);
52 G4double Simpson(G4double (*f)(G4double), G4double a, G4double b, G4int n);
53 // Simpson integration method
54
55 G4double AdaptiveGauss(T& typeT, F f, G4double a, G4double b, G4double e);
56 G4double AdaptiveGauss(T* ptrT, F f, G4double a, G4double b, G4double e);
57 G4double AdaptiveGauss(G4double (*f)(G4double), G4double a, G4double b,
58 G4double e);
59 // Adaptive Gauss method
60
61 // Integration methods involving orthogohol polynomials
62
63 G4double Legendre(T& typeT, F f, G4double a, G4double b, G4int n);
64 G4double Legendre(T* ptrT, F f, G4double a, G4double b, G4int n);
65 G4double Legendre(G4double (*f)(G4double), G4double a, G4double b, G4int n);
66 //
67 // Methods involving Legendre polynomials
68
69 G4double Legendre10(T& typeT, F f, G4double a, G4double b);
70 G4double Legendre10(T* ptrT, F f, G4double a, G4double b);
71 G4double Legendre10(G4double (*f)(G4double), G4double a, G4double b);
72 //
73 // Legendre10 is very fast and accurate enough
74
75 G4double Legendre96(T& typeT, F f, G4double a, G4double b);
76 G4double Legendre96(T* ptrT, F f, G4double a, G4double b);
77 G4double Legendre96(G4double (*f)(G4double), G4double a, G4double b);
78 //
79 // Legendre96 is very accurate and fast enough
80
81 G4double Chebyshev(T& typeT, F f, G4double a, G4double b, G4int n);
82 G4double Chebyshev(T* ptrT, F f, G4double a, G4double b, G4int n);
83 G4double Chebyshev(G4double (*f)(G4double), G4double a, G4double b, G4int n);
84 //
85 // Methods involving Chebyshev polynomials
86
87 G4double Laguerre(T& typeT, F f, G4double alpha, G4int n);
88 G4double Laguerre(T* ptrT, F f, G4double alpha, G4int n);
89 G4double Laguerre(G4double (*f)(G4double), G4double alpha, G4int n);
90 //
91 // Method involving Laguerre polynomials
92
93 G4double Hermite(T& typeT, F f, G4int n);
94 G4double Hermite(T* ptrT, F f, G4int n);
95 G4double Hermite(G4double (*f)(G4double), G4int n);
96 //
97 // Method involving Hermite polynomials
98
99 G4double Jacobi(T& typeT, F f, G4double alpha, G4double beta, G4int n);
100 G4double Jacobi(T* ptrT, F f, G4double alpha, G4double beta, G4int n);
101 G4double Jacobi(G4double (*f)(G4double), G4double alpha, G4double beta,
102 G4int n);
103 // Method involving Jacobi polynomials
104
105 protected:
106 // Auxiliary functions for adaptive Gauss method
107
108 G4double Gauss(T& typeT, F f, G4double a, G4double b);
109 G4double Gauss(T* ptrT, F f, G4double a, G4double b);
110 G4double Gauss(G4double (*f)(G4double), G4double a, G4double b);
111
112 void AdaptGauss(T& typeT, F f, G4double a, G4double b, G4double e,
113 G4double& sum, G4int& n);
114 void AdaptGauss(T* typeT, F f, G4double a, G4double b, G4double e,
115 G4double& sum, G4int& n);
116 void AdaptGauss(G4double (*f)(G4double), G4double a, G4double b, G4double e,
117 G4double& sum, G4int& n);
118
119 G4double GammaLogarithm(G4double xx);
120 };
121
122 #include "G4Integrator.icc"
123
124 #endif
125