The cos(theta) on a sphere problem. More...

#include <test_problems.h>

Inheritance diagram for CosineSphere:

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Collaboration diagram for CosineSphere:

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Public Member Functions
	CosineSphere (int k, double thresh, double eps, std::string penalty_name, double penalty_prefact, double radius, Mask mask)

virtual std::vector< Vector< double, 3 > >	check_pts () const
	A list of points where we should compare the computed solution to the exact solution.

double	DirichletCond (const Vector< double, 3 > &x) const

double	ExactSol (const Vector< double, 3 > &x) const

double	Inhomogeneity (const Vector< double, 3 > &x) const

double	SurfaceIntegral () const
	The surface area of the domain.

double	VolumeIntegral () const
	The volume of the domain.

Public Member Functions inherited from EmbeddedDirichlet
	EmbeddedDirichlet (double penalty_prefact, std::string penalty_name, double eps, int k, double thresh, Mask mask)
	Sets up the data for the problem-inspecific parts.

virtual	~EmbeddedDirichlet ()

void	load_balance (World &world, const Function< double, 3 > &f) const
	Load balances using the provided Function.

double	operator() (const Vector< double, 3 > &x) const
	The operator for projecting a MADNESS function.

void	printout () const
	Do a standard Printout of the problem details.

Public Member Functions inherited from madness::FunctionFunctorInterface< double, 3 >
	FunctionFunctorInterface ()

virtual	~FunctionFunctorInterface ()

virtual coeffT	coeff (const keyT &) const

virtual void	operator() (const Vector< double , 1 > &xvals, double fvals, int npts) const

virtual void	operator() (const Vector< double , 2 > &xvals, double fvals, int npts) const

virtual void	operator() (const Vector< double , 3 > &xvals, double fvals, int npts) const

virtual void	operator() (const Vector< double , 4 > &xvals, double fvals, int npts) const

virtual void	operator() (const Vector< double , 5 > &xvals, double fvals, int npts) const

virtual void	operator() (const Vector< double , 6 > &xvals, double fvals, int npts) const

virtual double	operator() (const Vector< double, NDIM > &x) const=0
	You should implement this to return `f(x)`

virtual bool	provides_coeff () const
	does this functor directly provide sum coefficients? or only function values?

virtual bool	screened (const Vector< double, NDIM > &c1, const Vector< double, NDIM > &c2) const
	Can we screen this function based on the bounding box information?

void	set_length_scale (double lo)
	adapt the special level to resolve the smallest length scale

virtual Level	special_level () const
	Override this to change the minimum level of refinement at special points (default is 6)

virtual std::vector< Vector< double, NDIM > >	special_points () const
	Override this to return list of special points to be refined more deeply.

virtual bool	supports_vectorized () const
	Does the interface support a vectorized operator()?

virtual coeffT	values (const keyT &key, const Tensor< double > &tensor) const

Protected Member Functions
bool	isHomogeneous () const

Protected Attributes
double	radius

Protected Attributes inherited from EmbeddedDirichlet
DomainMaskInterface *	dmi

std::string	domain_mask_name

double	eps

double	penalty_prefact

std::string	problem_name

std::string	problem_specific_info

SignedDFInterface< 3 > *	sdfi

Additional Inherited Members
Public Types inherited from madness::FunctionFunctorInterface< double, 3 >
typedef GenTensor< double >	coeffT

typedef Key< NDIM >	keyT

typedef double	value_type

Public Attributes inherited from EmbeddedDirichlet
FunctorOutput	fop

Public Attributes inherited from madness::FunctionFunctorInterface< double, 3 >
Level	special_level_