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geant4/source/processes/hadronic/models/inclxx/utils/src/G4INCLIFunction1D.cc
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//
// INCL++ intra-nuclear cascade model
// Alain Boudard, CEA-Saclay, France
// Joseph Cugnon, University of Liege, Belgium
// Jean-Christophe David, CEA-Saclay, France
// Pekka Kaitaniemi, CEA-Saclay, France, and Helsinki Institute of Physics, Finland
// Sylvie Leray, CEA-Saclay, France
// Davide Mancusi, CEA-Saclay, France
//
#define INCLXX_IN_GEANT4_MODE 1
#include "globals.hh"
/** \file G4INCLIFunction1D.cc
* \brief Functor for 1-dimensional mathematical functions
*
* \date 16 July 2011
* \author Davide Mancusi
*/
#include <algorithm>
#include <cmath>
#include <cstdlib>
#include "G4INCLIFunction1D.hh"
#include "G4INCLLogger.hh"
#include "G4INCLInvFInterpolationTable.hh"
namespace G4INCL {
const G4double IFunction1D::integrationCoefficients[] = {
2.*95.0/288.0,
317.0/240.0,
23.0/30.0,
793.0/720.0,
157.0/160.0,
157.0/160.0,
793.0/720.0,
23.0/30.0,
317.0/240.0,
};
G4double IFunction1D::integrate(const G4double x0, const G4double x1, const G4double step) const {
G4double xi = std::max(x0, xMin);
G4double xa = std::min(x1, xMax);
G4double sign;
if(x1 <= x0) {
sign = -1.0;
std::swap(xi, xa);
} else
sign = 1.0;
const G4double interval = xa - xi;
G4int nIntervals;
if(step<0.) {
nIntervals = 45;
} else {
nIntervals = G4int(interval/step);
// Round up nIntervals to the closest multiple of 9
G4int remainder = nIntervals % 9;
if (remainder != 0)
nIntervals += 9 - remainder;
nIntervals = std::max(nIntervals, 9);
}
const G4double dx = interval/nIntervals;
G4double result = (operator()(xi) + operator()(xa)) * integrationCoefficients[0]/2;
for(G4int j = 1; j<nIntervals; ++j) {
const G4double x = xi + interval*G4double(j)/G4double(nIntervals);
const unsigned index = j%9;
result += operator()(x) * integrationCoefficients[index];
}
return result*dx*sign;
}
IFunction1D *IFunction1D::primitive() const {
class Primitive : public IFunction1D {
public:
Primitive(IFunction1D const * const f) :
IFunction1D(f->getXMinimum(), f->getXMaximum()),
theFunction(f)
{}
G4double operator()(const G4double x) const {
return theFunction->integrate(xMin,x);
}
private:
IFunction1D const * const theFunction;
} *thePrimitive = new Primitive(this);
return thePrimitive;
}
InterpolationTable *IFunction1D::inverseCDFTable(IFunction1D::ManipulatorFunc fWrap, const G4int nNodes) const {
class InverseCDF : public IFunction1D {
public:
InverseCDF(IFunction1D const * const f, ManipulatorFunc fw) :
IFunction1D(f->getXMinimum(), f->getXMaximum()),
theFunction(f),
normalisation(1./theFunction->integrate(xMin,xMax)),
fWrap(fw)
{}
G4double operator()(const G4double x) const {
if(fWrap)
return fWrap(std::min(1., normalisation * theFunction->integrate(xMin,x)));
else
return std::min(1., normalisation * theFunction->integrate(xMin,x));
}
private:
IFunction1D const * const theFunction;
const G4double normalisation;
ManipulatorFunc fWrap;
} *theInverseCDF = new InverseCDF(this, fWrap);
InterpolationTable *theTable = new InvFInterpolationTable(*theInverseCDF, nNodes);
delete theInverseCDF;
return theTable;
}
}