Public Member Functions | Static Public Member Functions | Protected Attributes | Private Member Functions

HyperBallBoundary< dim, spacedim > Class Template Reference
[Boundary description for triangulations]

Inheritance diagram for HyperBallBoundary< dim, spacedim >:
Inheritance graph
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List of all members.

Public Member Functions

 HyperBallBoundary (const Point< spacedim > p=Point< spacedim >(), const double radius=1.0)
virtual Point< spacedim > get_new_point_on_line (const typename Triangulation< dim, spacedim >::line_iterator &line) const
virtual Point< spacedim > get_new_point_on_quad (const typename Triangulation< dim, spacedim >::quad_iterator &quad) const
virtual void get_intermediate_points_on_line (const typename Triangulation< dim, spacedim >::line_iterator &line, std::vector< Point< spacedim > > &points) const
virtual void get_intermediate_points_on_quad (const typename Triangulation< dim, spacedim >::quad_iterator &quad, std::vector< Point< spacedim > > &points) const
virtual Tensor< 1, spacedim > normal_vector (const typename Triangulation< dim, spacedim >::face_iterator &face, const Point< spacedim > &p) const
virtual void get_normals_at_vertices (const typename Triangulation< dim, spacedim >::face_iterator &face, typename Boundary< dim, spacedim >::FaceVertexNormals &face_vertex_normals) const
Point< spacedim > get_center () const
double get_radius () const

Static Public Member Functions

::ExceptionBaseExcRadiusNotSet ()

Protected Attributes

const Point< spacedim > center
const double radius
bool compute_radius_automatically

Private Member Functions

void get_intermediate_points_between_points (const Point< spacedim > &p0, const Point< spacedim > &p1, std::vector< Point< spacedim > > &points) const

Detailed Description

template<int dim, int spacedim = dim>
class HyperBallBoundary< dim, spacedim >

Specialization of Boundary<dim>, which places the new point on the boundary of a ball in arbitrary dimension. It works by projecting the point in the middle of the old points onto the ball. The middle is defined as the arithmetic mean of the points.

The center of the ball and its radius may be given upon construction of an object of this type. They default to the origin and a radius of 1.0.

This class is derived from StraightBoundary rather than from Boundary, which would seem natural, since this way we can use the StraightBoundary::in_between() function.

Author:
Wolfgang Bangerth, 1998, Ralf Hartmann, 2001

Definition at line 377 of file tria_boundary_lib.h.


Constructor & Destructor Documentation

template<int dim, int spacedim = dim>
HyperBallBoundary< dim, spacedim >::HyperBallBoundary ( const Point< spacedim >  p = Point< spacedim >(),
const double  radius = 1.0 
)

Constructor


Member Function Documentation

template<int dim, int spacedim = dim>
virtual Point<spacedim> HyperBallBoundary< dim, spacedim >::get_new_point_on_line ( const typename Triangulation< dim, spacedim >::line_iterator &  line ) const [virtual]

Refer to the general documentation of this class and the documentation of the base class.

Reimplemented from StraightBoundary< dim, spacedim >.

template<int dim, int spacedim = dim>
virtual Point<spacedim> HyperBallBoundary< dim, spacedim >::get_new_point_on_quad ( const typename Triangulation< dim, spacedim >::quad_iterator &  quad ) const [virtual]

Refer to the general documentation of this class and the documentation of the base class.

Reimplemented from StraightBoundary< dim, spacedim >.

template<int dim, int spacedim = dim>
virtual void HyperBallBoundary< dim, spacedim >::get_intermediate_points_on_line ( const typename Triangulation< dim, spacedim >::line_iterator &  line,
std::vector< Point< spacedim > > &  points 
) const [virtual]

Refer to the general documentation of this class and the documentation of the base class.

Calls get_intermediate_points_between_points.

Reimplemented from StraightBoundary< dim, spacedim >.

template<int dim, int spacedim = dim>
virtual void HyperBallBoundary< dim, spacedim >::get_intermediate_points_on_quad ( const typename Triangulation< dim, spacedim >::quad_iterator &  quad,
std::vector< Point< spacedim > > &  points 
) const [virtual]

Refer to the general documentation of this class and the documentation of the base class.

Only implemented for dim=3 and for points.size()==1.

Reimplemented from StraightBoundary< dim, spacedim >.

template<int dim, int spacedim = dim>
virtual Tensor<1,spacedim> HyperBallBoundary< dim, spacedim >::normal_vector ( const typename Triangulation< dim, spacedim >::face_iterator &  face,
const Point< spacedim > &  p 
) const [virtual]

Implementation of the function declared in the base class.

Refer to the general documentation of this class and the documentation of the base class.

Reimplemented from StraightBoundary< dim, spacedim >.

template<int dim, int spacedim = dim>
virtual void HyperBallBoundary< dim, spacedim >::get_normals_at_vertices ( const typename Triangulation< dim, spacedim >::face_iterator &  face,
typename Boundary< dim, spacedim >::FaceVertexNormals face_vertex_normals 
) const [virtual]

Compute the normals to the boundary at the vertices of the given face.

Refer to the general documentation of this class and the documentation of the base class.

Reimplemented from StraightBoundary< dim, spacedim >.

template<int dim, int spacedim = dim>
Point<spacedim> HyperBallBoundary< dim, spacedim >::get_center (  ) const

Return the center of the ball.

template<int dim, int spacedim = dim>
double HyperBallBoundary< dim, spacedim >::get_radius (  ) const

Return the radius of the ball.

template<int dim, int spacedim = dim>
::ExceptionBase& HyperBallBoundary< dim, spacedim >::ExcRadiusNotSet (  ) [static]

Exception. Thrown by the get_radius if the compute_radius_automatically, see below, flag is set true.

template<int dim, int spacedim = dim>
void HyperBallBoundary< dim, spacedim >::get_intermediate_points_between_points ( const Point< spacedim > &  p0,
const Point< spacedim > &  p1,
std::vector< Point< spacedim > > &  points 
) const [private]

Called by get_intermediate_points_on_line and by get_intermediate_points_on_quad.

Refer to the general documentation of get_intermediate_points_on_line in the documentation of the base class.


Member Data Documentation

template<int dim, int spacedim = dim>
const Point<spacedim> HyperBallBoundary< dim, spacedim >::center [protected]

Center point of the hyperball.

Definition at line 487 of file tria_boundary_lib.h.

template<int dim, int spacedim = dim>
const double HyperBallBoundary< dim, spacedim >::radius [protected]

Radius of the hyperball.

Definition at line 492 of file tria_boundary_lib.h.

template<int dim, int spacedim = dim>
bool HyperBallBoundary< dim, spacedim >::compute_radius_automatically [protected]

This flag is false for this class and for all derived classes that set the radius by the constructor. For example this flag is false for the HalfHyperBallBoundary class but it is true for the HyperShellBoundary class, for example. The latter class doesn't get its radii by the constructor but need to compute the radii automatically each time one of the virtual functions is called.

Definition at line 511 of file tria_boundary_lib.h.


The documentation for this class was generated from the following file:
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deal.II documentation generated on Fri Feb 3 2012 06:04:09 by doxygen 1.7.2