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25 //
26 // INCL++ intra-nuclear cascade model
27 // Alain Boudard, CEA-Saclay, France
28 // Joseph Cugnon, University of Liege, Belgium
29 // Jean-Christophe David, CEA-Saclay, France
30 // Pekka Kaitaniemi, CEA-Saclay, France, and Helsinki Institute of Physics, Finland
31 // Sylvie Leray, CEA-Saclay, France
32 // Davide Mancusi, CEA-Saclay, France
33 //
34 #define INCLXX_IN_GEANT4_MODE 1
35
36 #include "globals.hh"
37
38 /** \file G4INCLIFunction1D.cc
39 * \brief Functor for 1-dimensional mathematical functions
40 *
41 * \date 16 July 2011
42 * \author Davide Mancusi
43 */
44
45 #include <algorithm>
46 #include <cmath>
47 #include <cstdlib>
48 #include "G4INCLIFunction1D.hh"
49 #include "G4INCLLogger.hh"
50 #include "G4INCLInvFInterpolationTable.hh"
51
52 namespace G4INCL {
53
54 const G4double IFunction1D::integrationCoefficients[] = {
55 2.*95.0/288.0,
56 317.0/240.0,
57 23.0/30.0,
58 793.0/720.0,
59 157.0/160.0,
60 157.0/160.0,
61 793.0/720.0,
62 23.0/30.0,
63 317.0/240.0,
64 };
65
66 G4double IFunction1D::integrate(const G4double x0, const G4double x1, const G4double step) const {
67 G4double xi = std::max(x0, xMin);
68 G4double xa = std::min(x1, xMax);
69 G4double sign;
70
71 if(x1 <= x0) {
72 sign = -1.0;
73 std::swap(xi, xa);
74 } else
75 sign = 1.0;
76
77 const G4double interval = xa - xi;
78
79 G4int nIntervals;
80 if(step<0.) {
81 nIntervals = 45;
82 } else {
83 nIntervals = G4int(interval/step);
84
85 // Round up nIntervals to the closest multiple of 9
86 G4int remainder = nIntervals % 9;
87 if (remainder != 0)
88 nIntervals += 9 - remainder;
89
90 nIntervals = std::max(nIntervals, 9);
91 }
92
93 const G4double dx = interval/nIntervals;
94 G4double result = (operator()(xi) + operator()(xa)) * integrationCoefficients[0]/2;
95 for(G4int j = 1; j<nIntervals; ++j) {
96 const G4double x = xi + interval*G4double(j)/G4double(nIntervals);
97 const unsigned index = j%9;
98 result += operator()(x) * integrationCoefficients[index];
99 }
100
101 return result*dx*sign;
102
103 }
104
105 IFunction1D *IFunction1D::primitive() const {
106 class Primitive : public IFunction1D {
107 public:
108 Primitive(IFunction1D const * const f) :
109 IFunction1D(f->getXMinimum(), f->getXMaximum()),
110 theFunction(f)
111 {}
112
113 G4double operator()(const G4double x) const {
114 return theFunction->integrate(xMin,x);
115 }
116 private:
117 IFunction1D const * const theFunction;
118 } *thePrimitive = new Primitive(this);
119
120 return thePrimitive;
121 }
122
123 InterpolationTable *IFunction1D::inverseCDFTable(IFunction1D::ManipulatorFunc fWrap, const G4int nNodes) const {
124 class InverseCDF : public IFunction1D {
125 public:
126 InverseCDF(IFunction1D const * const f, ManipulatorFunc fw) :
127 IFunction1D(f->getXMinimum(), f->getXMaximum()),
128 theFunction(f),
129 normalisation(1./theFunction->integrate(xMin,xMax)),
130 fWrap(fw)
131 {}
132
133 G4double operator()(const G4double x) const {
134 if(fWrap)
135 return fWrap(std::min(1., normalisation * theFunction->integrate(xMin,x)));
136 else
137 return std::min(1., normalisation * theFunction->integrate(xMin,x));
138 }
139 private:
140 IFunction1D const * const theFunction;
141 const G4double normalisation;
142 ManipulatorFunc fWrap;
143 } *theInverseCDF = new InverseCDF(this, fWrap);
144
145 InterpolationTable *theTable = new InvFInterpolationTable(*theInverseCDF, nNodes);
146 delete theInverseCDF;
147 return theTable;
148 }
149 }
150
151