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#ifndef KERNEL_FUNCTION_H
#define KERNEL_FUNCTION_H
#include <set>
#include "LammpsInterface.h"
#include "MatrixLibrary.h"
namespace ATC {
/**
* @class KernelFunctionMgr
* @brief Base class for managing kernels
*/
class KernelFunctionMgr {
public:
/** Static instance of this class */
static KernelFunctionMgr * instance();
class KernelFunction* function(char** arg, int nargs);
protected:
KernelFunctionMgr() {};
~KernelFunctionMgr();
private:
static KernelFunctionMgr * myInstance_;
std::set<KernelFunction*> pointerSet_;
};
/**
* @class KernelFunction
* @brief Base class for kernels for atom-continuum transfer
*/
class KernelFunction {
public:
// constructor
KernelFunction(int nparameters, double* parameters);
// destructor
virtual ~KernelFunction() {};
// function value
virtual double value(DENS_VEC& x_atom) const =0 ;
// function derivative
virtual void derivative(const DENS_VEC& x_atom, DENS_VEC& deriv) const =0 ;
// bond function value via quadrature
virtual double bond(DENS_VEC& xa, DENS_VEC&xb, double lam1, double lam2) const;
// localization-volume intercepts for bond calculation
virtual void bond_intercepts(DENS_VEC& xa,
DENS_VEC& xb, double &lam1, double &lam2) const;
virtual bool node_contributes(DENS_VEC node) const;
virtual bool in_support(DENS_VEC node) const;
double inv_vol(void) const { return invVol_; }
virtual double dimensionality_factor(void) const { return 1.; }
protected:
double invVol_; // normalization factor
double Rc_, invRc_; // cutoff radius
int nsd_ ; // number of dimensions
/** pointer to lammps interface class */
LammpsInterface * lammpsInterface_;
/** periodicity flags and lengths */
int periodicity[3];
double box_bounds[2][3];
double box_length[3];
};
/**
* @class KernelFunctionStep
* @brief Class for defining kernel function of a step with spherical support
*/
class KernelFunctionStep : public KernelFunction {
public:
// constructor
KernelFunctionStep(int nparameters, double* parameters);
// destructor
virtual ~KernelFunctionStep() {};
// function value
virtual double value(DENS_VEC& x_atom) const;
// function derivative
virtual void derivative(const DENS_VEC& x_atom, DENS_VEC& deriv) const;
// bond function value
virtual double bond(DENS_VEC& /* xa */, DENS_VEC& /* xb */, double lam1, double lam2) const
{ return lam2-lam1; }
};
/**
* @class KernelFunctionCell
* @brief Class for defining kernel function of a step with rectangular support
* suitable for a rectangular grid
*/
class KernelFunctionCell : public KernelFunction {
public:
// constructor
KernelFunctionCell(int nparameters, double* parameters);
// destructor
virtual ~KernelFunctionCell() {};
// function value
virtual double value(DENS_VEC& x_atom) const;
// function derivative
virtual void derivative(const DENS_VEC& x_atom, DENS_VEC& deriv) const;
// bond function value
virtual double bond(DENS_VEC& /* xa */, DENS_VEC& /* xb */, double lam1, double lam2) const
{return lam2 -lam1;}
// bond intercept values : origin is the node position
void bond_intercepts(DENS_VEC& xa, DENS_VEC& xb,
double &lam1, double &lam2) const;
bool node_contributes(DENS_VEC node) const;
bool in_support(DENS_VEC dx) const;
protected:
double hx, hy, hz;
DENS_VEC cellBounds_;
};
/**
* @class KernelFunctionCubicSphere
* @brief Class for defining kernel function of a cubic with spherical support
*/
class KernelFunctionCubicSphere : public KernelFunction {
public:
// constructor
KernelFunctionCubicSphere(int nparameters, double* parameters);
// destructor
virtual ~KernelFunctionCubicSphere() {};
// function value
virtual double value(DENS_VEC& x_atom) const;
// function derivative
virtual void derivative(const DENS_VEC& x_atom, DENS_VEC& deriv) const;
};
/**
* @class KernelFunctionQuarticSphere
* @brief Class for defining kernel function of a quartic with spherical support
*/
class KernelFunctionQuarticSphere : public KernelFunction {
public:
// constructor
KernelFunctionQuarticSphere(int nparameters, double* parameters);
// destructor
virtual ~KernelFunctionQuarticSphere() {};
// function value
virtual double value(DENS_VEC& x_atom) const;
// function derivative
virtual void derivative(const DENS_VEC& x_atom, DENS_VEC& deriv) const;
};
/**
* @class KernelFunctionCubicCyl
* @brief Class for defining kernel function of a cubic with cylindrical support
*/
class KernelFunctionCubicCyl : public KernelFunction {
public:
// constructor
KernelFunctionCubicCyl(int nparameters, double* parameters);
// destructor
virtual ~KernelFunctionCubicCyl() {};
// function value
virtual double value(DENS_VEC& x_atom) const;
// function derivative
virtual void derivative(const DENS_VEC& x_atom, DENS_VEC& deriv) const;
virtual double dimensionality_factor(void) const { return 0.5; }
};
/**
* @class KernelFunctionQuarticCyl
* @brief Class for defining kernel function of a quartic with cylindrical support
*/
class KernelFunctionQuarticCyl : public KernelFunction {
public:
// constructor
KernelFunctionQuarticCyl(int nparameters, double* parameters);
// destructor
virtual ~KernelFunctionQuarticCyl() {};
// function value
virtual double value(DENS_VEC& x_atom) const;
// function derivative
virtual void derivative(const DENS_VEC& x_atom, DENS_VEC& deriv) const;
virtual double dimensionality_factor(void) const { return 0.5; }
};
/**
* @class KernelFunctionCubicBar
* @brief Class for defining kernel function of a cubic with 1-dimensional (bar) support
*/
class KernelFunctionCubicBar : public KernelFunction {
public:
// constructor
KernelFunctionCubicBar(int nparameters, double* parameters);
// destructor
virtual ~KernelFunctionCubicBar() {};
// function value
virtual double value(DENS_VEC& x_atom) const;
// function derivative
virtual void derivative(const DENS_VEC& x_atom, DENS_VEC& deriv) const;
virtual double dimensionality_factor(void) const { return 0.25; }
};
/**
* @class KernelFunctionCubicBar
* @brief Class for defining kernel function of a cubic with 1-dimensional (bar) support
*/
class KernelFunctionLinearBar : public KernelFunction {
public:
// constructor
KernelFunctionLinearBar(int nparameters, double* parameters);
// destructor
virtual ~KernelFunctionLinearBar() {};
// function value
virtual double value(DENS_VEC& x_atom) const;
// function derivative
virtual void derivative(const DENS_VEC& x_atom, DENS_VEC& deriv) const;
virtual double dimensionality_factor(void) const { return 0.25; }
};
/**
* @class KernelFunctionQuarticBar
* @brief Class for defining kernel function of a quartic with 1-dimensional (bar) support
*/
class KernelFunctionQuarticBar : public KernelFunction {
public:
// constructor
KernelFunctionQuarticBar(int nparameters, double* parameters);
// destructor
virtual ~KernelFunctionQuarticBar() {};
// function value
virtual double value(DENS_VEC& x_atom) const;
// function derivative
virtual void derivative(const DENS_VEC& x_atom, DENS_VEC& deriv) const;
virtual double dimensionality_factor(void) const { return 0.25; }
};
};
#endif
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