Geant4 Cross Reference

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Geant4/processes/electromagnetic/adjoint/src/G4AdjointInterpolator.cc

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 25 //
 26 
 27 #include "G4AdjointInterpolator.hh"
 28 
 29 G4ThreadLocal G4AdjointInterpolator* G4AdjointInterpolator::fInstance = nullptr;
 30 
 31 ///////////////////////////////////////////////////////
 32 G4AdjointInterpolator* G4AdjointInterpolator::GetAdjointInterpolator()
 33 {
 34   return GetInstance();
 35 }
 36 
 37 ///////////////////////////////////////////////////////
 38 G4AdjointInterpolator* G4AdjointInterpolator::GetInstance()
 39 {
 40   if(!fInstance)
 41   {
 42     fInstance = new G4AdjointInterpolator;
 43   }
 44   return fInstance;
 45 }
 46 
 47 ///////////////////////////////////////////////////////
 48 G4AdjointInterpolator::G4AdjointInterpolator() {}
 49 
 50 ///////////////////////////////////////////////////////
 51 G4AdjointInterpolator::~G4AdjointInterpolator() {}
 52 
 53 ///////////////////////////////////////////////////////
 54 G4double G4AdjointInterpolator::LinearInterpolation(G4double& x, G4double& x1,
 55                                                     G4double& x2, G4double& y1,
 56                                                     G4double& y2)
 57 {
 58   G4double res = y1 + (x - x1) * (y2 - y1) / (x2 - x1);
 59   return res;
 60 }
 61 
 62 ///////////////////////////////////////////////////////
 63 G4double G4AdjointInterpolator::LogarithmicInterpolation(
 64   G4double& x, G4double& x1, G4double& x2, G4double& y1, G4double& y2)
 65 {
 66   if(y1 <= 0. || y2 <= 0. || x1 <= 0.)
 67     return LinearInterpolation(x, x1, x2, y1, y2);
 68   G4double B   = std::log(y2 / y1) / std::log(x2 / x1);
 69   G4double A   = y1 / std::pow(x1, B);
 70   G4double res = A * std::pow(x, B);
 71   return res;
 72 }
 73 
 74 ///////////////////////////////////////////////////////
 75 G4double G4AdjointInterpolator::ExponentialInterpolation(
 76   G4double& x, G4double& x1, G4double& x2, G4double& y1, G4double& y2)
 77 {
 78   G4double B   = (std::log(y2) - std::log(y1)) / (x2 - x1);
 79   G4double A   = y1 * std::exp(-B * x1);
 80   G4double res = A * std::exp(B * x);
 81   return res;
 82 }
 83 
 84 ///////////////////////////////////////////////////////
 85 G4double G4AdjointInterpolator::Interpolation(G4double& x, G4double& x1,
 86                                               G4double& x2, G4double& y1,
 87                                               G4double& y2,
 88                                               const G4String& InterPolMethod)
 89 {
 90   if(InterPolMethod == "Log")
 91   {
 92     return LogarithmicInterpolation(x, x1, x2, y1, y2);
 93   }
 94   else if(InterPolMethod == "Lin")
 95   {
 96     return LinearInterpolation(x, x1, x2, y1, y2);
 97   }
 98   else if(InterPolMethod == "Exp")
 99   {
100     return ExponentialInterpolation(x, x1, x2, y1, y2);
101   }
102   else
103   {
104     G4ExceptionDescription ed;
105     ed << "The interpolation method that you invoked does not exist!\n";
106     G4Exception("G4AdjointInterpolator::Interpolation", "adoint001",
107                 FatalException, ed);
108     return 0.;
109   }
110 }
111 
112 ///////////////////////////////////////////////////////
113 // only valid if x_vec is monotically increasing
114 std::size_t G4AdjointInterpolator::FindPosition(G4double& x,
115                                            std::vector<G4double>& x_vec, std::size_t,
116                                            std::size_t)
117 {
118   // most rapid method could be used probably
119 
120   std::size_t ndim = x_vec.size();
121   std::size_t ind1 = 0;
122   std::size_t ind2 = ndim - 1;
123 
124   if(ndim > 1)
125   {
126     if(x_vec[0] < x_vec[1])
127     {  // increasing
128       do
129       {
130         std::size_t midBin = (ind1 + ind2) / 2;
131         if(x < x_vec[midBin])
132           ind2 = midBin;
133         else
134           ind1 = midBin;
135       } while(ind2 - ind1 > 1);
136     }
137     else
138     {
139       do
140       {
141         std::size_t midBin = (ind1 + ind2) / 2;
142         if(x < x_vec[midBin])
143           ind1 = midBin;
144         else
145           ind2 = midBin;
146       } while(ind2 - ind1 > 1);
147     }
148   }
149 
150   return ind1;
151 }
152 
153 ///////////////////////////////////////////////////////
154 // only valid if x_vec is monotically increasing
155 std::size_t G4AdjointInterpolator::FindPositionForLogVector(
156   G4double& log_x, std::vector<G4double>& log_x_vec)
157 {
158   // most rapid method could be used probably
159   return FindPosition(log_x, log_x_vec);
160 }
161 
162 ///////////////////////////////////////////////////////
163 G4double G4AdjointInterpolator::Interpolate(G4double& x,
164                                             std::vector<G4double>& x_vec,
165                                             std::vector<G4double>& y_vec,
166                                             const G4String& InterPolMethod)
167 {
168   std::size_t i = FindPosition(x, x_vec);
169   return Interpolation(x, x_vec[i], x_vec[i + 1], y_vec[i], y_vec[i + 1],
170                        InterPolMethod);
171 }
172 
173 ///////////////////////////////////////////////////////
174 G4double G4AdjointInterpolator::InterpolateWithIndexVector(
175   G4double& x, std::vector<G4double>& x_vec, std::vector<G4double>& y_vec,
176   std::vector<std::size_t>& index_vec, G4double x0,
177   G4double dx)  // only linear interpolation possible
178 {
179   std::size_t ind = 0;
180   if(x > x0)
181     ind = G4int((x - x0) / dx);
182   if(ind >= index_vec.size() - 1)
183     ind = index_vec.size() - 2;
184   std::size_t ind1 = index_vec[ind];
185   std::size_t ind2 = index_vec[ind + 1];
186   if(ind1 > ind2)
187   {
188     std::size_t ind11 = ind1;
189     ind1         = ind2;
190     ind2         = ind11;
191   }
192   ind = FindPosition(x, x_vec, ind1, ind2);
193   return Interpolation(x, x_vec[ind], x_vec[ind + 1], y_vec[ind],
194                        y_vec[ind + 1], "Lin");
195 }
196 
197 ///////////////////////////////////////////////////////
198 G4double G4AdjointInterpolator::InterpolateForLogVector(
199   G4double& log_x, std::vector<G4double>& log_x_vec,
200   std::vector<G4double>& log_y_vec)
201 {
202   std::size_t i = FindPositionForLogVector(log_x, log_x_vec);
203 
204   G4double log_y = LinearInterpolation(log_x, log_x_vec[i], log_x_vec[i + 1],
205                                        log_y_vec[i], log_y_vec[i + 1]);
206   return log_y;
207 }
208