Geant4-11
Public Types | Public Member Functions | Protected Attributes | Static Private Attributes
G4INCL::NuclearDensityFunctions::WoodsSaxon Class Reference

#include <G4INCLNDFWoodsSaxon.hh>

Inheritance diagram for G4INCL::NuclearDensityFunctions::WoodsSaxon:
G4INCL::IFunction1D

Public Types

typedef G4double(*const ManipulatorFunc) (const G4double)
 Typedef to simplify the syntax of inverseCDFTable. More...
 

Public Member Functions

G4double getDiffusenessParameter ()
 
G4double getRadiusParameter ()
 
virtual G4double getXMaximum () const
 Return the maximum allowed value of the independent variable. More...
 
virtual G4double getXMinimum () const
 Return the minimum allowed value of the independent variable. More...
 
virtual G4double integrate (const G4double x0, const G4double x1, const G4double step=-1.) const
 Integrate the function between two values. More...
 
InterpolationTableinverseCDFTable (ManipulatorFunc fWrap=0, const G4int nNodes=60) const
 Return a pointer to the inverse of the CDF of this function. More...
 
G4double operator() (const G4double r) const
 Compute the value of the function. More...
 
IFunction1Dprimitive () const
 Return a pointer to the (numerical) primitive to this function. More...
 
void setDiffusenessParameter (G4double a)
 
void setRadiusParameter (G4double r)
 
 WoodsSaxon (G4double radiusParameter, G4double maximumRadius, G4double diffusenessParameter)
 

Protected Attributes

G4double theDiffusenessParameter
 
G4double theRadiusParameter
 
G4double xMax
 Maximum value of the independent variable. More...
 
G4double xMin
 Minimum value of the independent variable. More...
 

Static Private Attributes

static const G4double integrationCoefficients []
 Coefficients for numerical integration. More...
 

Detailed Description

Definition at line 80 of file G4INCLNDFWoodsSaxon.hh.

Member Typedef Documentation

◆ ManipulatorFunc

typedef G4double(*const G4INCL::IFunction1D::ManipulatorFunc) (const G4double)
inherited

Typedef to simplify the syntax of inverseCDFTable.

Definition at line 93 of file G4INCLIFunction1D.hh.

Constructor & Destructor Documentation

◆ WoodsSaxon()

G4INCL::NuclearDensityFunctions::WoodsSaxon::WoodsSaxon ( G4double  radiusParameter,
G4double  maximumRadius,
G4double  diffusenessParameter 
)
inline

Definition at line 82 of file G4INCLNDFWoodsSaxon.hh.

82 :
83 IFunction1D(0., maximumRadius),
84 theRadiusParameter(radiusParameter),
85 theDiffusenessParameter(diffusenessParameter)
86 {}

Member Function Documentation

◆ getDiffusenessParameter()

G4double G4INCL::NuclearDensityFunctions::WoodsSaxon::getDiffusenessParameter ( )
inline

Definition at line 93 of file G4INCLNDFWoodsSaxon.hh.

93{ return theDiffusenessParameter; };

References theDiffusenessParameter.

◆ getRadiusParameter()

G4double G4INCL::NuclearDensityFunctions::WoodsSaxon::getRadiusParameter ( )
inline

Definition at line 92 of file G4INCLNDFWoodsSaxon.hh.

92{ return theRadiusParameter; };

References theRadiusParameter.

◆ getXMaximum()

virtual G4double G4INCL::IFunction1D::getXMaximum ( ) const
inlinevirtualinherited

Return the maximum allowed value of the independent variable.

Definition at line 75 of file G4INCLIFunction1D.hh.

75{ return xMax; }
G4double xMax
Maximum value of the independent variable.

References G4INCL::IFunction1D::xMax.

Referenced by G4INCL::IFunction1D::inverseCDFTable(), G4INCL::InvFInterpolationTable::InvFInterpolationTable(), and G4INCL::IFunction1D::primitive().

◆ getXMinimum()

virtual G4double G4INCL::IFunction1D::getXMinimum ( ) const
inlinevirtualinherited

Return the minimum allowed value of the independent variable.

Definition at line 72 of file G4INCLIFunction1D.hh.

72{ return xMin; }
G4double xMin
Minimum value of the independent variable.

References G4INCL::IFunction1D::xMin.

Referenced by G4INCL::IFunction1D::inverseCDFTable(), G4INCL::InvFInterpolationTable::InvFInterpolationTable(), and G4INCL::IFunction1D::primitive().

◆ integrate()

G4double G4INCL::IFunction1D::integrate ( const G4double  x0,
const G4double  x1,
const G4double  step = -1. 
) const
virtualinherited

Integrate the function between two values.

Parameters
x0lower integration bound
x1upper integration bound
steplargest integration step size; if <0, 45 steps will be used
Returns
$\int_{x_0}^{x_1} f(x) dx$

Definition at line 66 of file G4INCLIFunction1D.cc.

66 {
67 G4double xi = std::max(x0, xMin);
68 G4double xa = std::min(x1, xMax);
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 }
double G4double
Definition: G4Types.hh:83
int G4int
Definition: G4Types.hh:85
virtual G4double operator()(const G4double x) const =0
Compute the value of the function.
static const G4double integrationCoefficients[]
Coefficients for numerical integration.
T max(const T t1, const T t2)
brief Return the largest of the two arguments
T min(const T t1, const T t2)
brief Return the smallest of the two arguments
G4int sign(const T t)

References G4INCL::IFunction1D::integrationCoefficients, G4INCL::Math::max(), G4INCL::Math::min(), G4INCL::IFunction1D::operator()(), G4INCL::Math::sign(), G4INCL::IFunction1D::xMax, and G4INCL::IFunction1D::xMin.

◆ inverseCDFTable()

InterpolationTable * G4INCL::IFunction1D::inverseCDFTable ( IFunction1D::ManipulatorFunc  fWrap = 0,
const G4int  nNodes = 60 
) const
inherited

Return a pointer to the inverse of the CDF of this function.

The function parameter fWrap is wrapped around the return value of operator(). If fWrap=NULL (default), fWrap=identity.

Definition at line 123 of file G4INCLIFunction1D.cc.

123 {
124 class InverseCDF : public IFunction1D {
125 public:
126 InverseCDF(IFunction1D const * const f, ManipulatorFunc fw) :
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 }
virtual G4double getXMaximum() const
Return the maximum allowed value of the independent variable.
G4double(*const ManipulatorFunc)(const G4double)
Typedef to simplify the syntax of inverseCDFTable.
virtual G4double integrate(const G4double x0, const G4double x1, const G4double step=-1.) const
Integrate the function between two values.
virtual G4double getXMinimum() const
Return the minimum allowed value of the independent variable.

References G4INCL::IFunction1D::getXMaximum(), G4INCL::IFunction1D::getXMinimum(), G4INCL::IFunction1D::IFunction1D(), G4INCL::Math::min(), G4INCL::IFunction1D::operator()(), G4INCL::IFunction1D::xMax, and G4INCL::IFunction1D::xMin.

Referenced by G4INCL::NuclearDensityFactory::createPCDFTable(), G4INCL::NuclearDensityFactory::createRCDFTable(), and G4INCL::NuclearDensityFactory::createRPCorrelationTable().

◆ operator()()

G4double G4INCL::NuclearDensityFunctions::WoodsSaxon::operator() ( const G4double  x) const
inlinevirtual

Compute the value of the function.

Implements G4INCL::IFunction1D.

Definition at line 88 of file G4INCLNDFWoodsSaxon.hh.

88 {
89 return r * r / (1.0 + std::exp((r - theRadiusParameter)/theDiffusenessParameter));
90 }

References theDiffusenessParameter, and theRadiusParameter.

◆ primitive()

IFunction1D * G4INCL::IFunction1D::primitive ( ) const
inherited

Return a pointer to the (numerical) primitive to this function.

Definition at line 105 of file G4INCLIFunction1D.cc.

105 {
106 class Primitive : public IFunction1D {
107 public:
108 Primitive(IFunction1D const * const f) :
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 }

References G4INCL::IFunction1D::getXMaximum(), G4INCL::IFunction1D::getXMinimum(), G4INCL::IFunction1D::IFunction1D(), G4INCL::IFunction1D::operator()(), Primitive, and G4INCL::IFunction1D::xMin.

◆ setDiffusenessParameter()

void G4INCL::NuclearDensityFunctions::WoodsSaxon::setDiffusenessParameter ( G4double  a)
inline

Definition at line 96 of file G4INCLNDFWoodsSaxon.hh.

References theDiffusenessParameter.

◆ setRadiusParameter()

void G4INCL::NuclearDensityFunctions::WoodsSaxon::setRadiusParameter ( G4double  r)
inline

Definition at line 95 of file G4INCLNDFWoodsSaxon.hh.

95{ theRadiusParameter = r; };

References theRadiusParameter.

Field Documentation

◆ integrationCoefficients

const G4double G4INCL::IFunction1D::integrationCoefficients
staticprivateinherited
Initial value:
= {
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,
}

Coefficients for numerical integration.

Definition at line 110 of file G4INCLIFunction1D.hh.

Referenced by G4INCL::IFunction1D::integrate().

◆ theDiffusenessParameter

G4double G4INCL::NuclearDensityFunctions::WoodsSaxon::theDiffusenessParameter
protected

◆ theRadiusParameter

G4double G4INCL::NuclearDensityFunctions::WoodsSaxon::theRadiusParameter
protected

Definition at line 99 of file G4INCLNDFWoodsSaxon.hh.

Referenced by getRadiusParameter(), operator()(), and setRadiusParameter().

◆ xMax

G4double G4INCL::IFunction1D::xMax
protectedinherited

Maximum value of the independent variable.

Definition at line 106 of file G4INCLIFunction1D.hh.

Referenced by G4INCL::IFunction1D::getXMaximum(), G4INCL::IFunction1D::integrate(), and G4INCL::IFunction1D::inverseCDFTable().

◆ xMin

G4double G4INCL::IFunction1D::xMin
protectedinherited

The documentation for this class was generated from the following file: