5#ifndef DUNE_GEOMETRY_REFERENCEELEMENT_HH
6#define DUNE_GEOMETRY_REFERENCEELEMENT_HH
16 template<
typename ctype,
int dim>
17 class ReferenceElementContainer;
22 template<
typename ctype,
int dim>
23 class ReferenceElementImplementation;
26 template<
typename ctype,
int dim>
27 struct ReferenceElements;
50 template<
typename Implementation>
75 using ctype =
typename Implementation::ctype;
87 static constexpr int dimension = Implementation::dimension;
96 return _impl->size(c);
111 int size(
int i,
int c,
int cc)
const
113 return _impl->size(i,c,cc);
132 return _impl->subEntity(i,c,ii,cc);
155 return _impl->subEntities(i,c,cc);
171 decltype(
auto)
type(
int i,
int c)
const
173 return _impl->type(i,c);
186 return _impl->type();
205 return _impl->position(i,c);
218 return _impl->checkInside(local);
236 return _impl->template geometry<codim>(i);
243 return _impl->volume();
260 return _impl->integrationOuterNormal(face);
280 const Implementation&
impl()
const
288 return _impl == r._impl;
294 return not (*
this == r);
300 return reinterpret_cast<std::size_t
>(r._impl);
306 friend Implementation;
316 void setImplementation(
const Implementation&
impl)
321 const Implementation* _impl;
A unique label for each type of element that can occur in a grid.
Definition affinegeometry.hh:21
This class provides access to geometric and topological properties of a reference element.
Definition referenceelement.hh:52
CoordinateField volume() const
obtain the volume of the reference element
Definition referenceelement.hh:241
ReferenceElement()
Constructs an empty reference element.
Definition referenceelement.hh:271
bool operator!=(const ReferenceElement &r) const
Compares for inequality with another reference element.
Definition referenceelement.hh:292
decltype(auto) type(int i, int c) const
obtain the type of subentity (i,c)
Definition referenceelement.hh:171
typename Implementation::Coordinate Coordinate
The coordinate type.
Definition referenceelement.hh:81
Codim< codim >::Geometry geometry(int i) const
obtain the embedding of subentity (i,codim) into the reference element
Definition referenceelement.hh:234
static constexpr int dimension
The dimension of the reference element.
Definition referenceelement.hh:87
int size(int i, int c, int cc) const
number of subentities of codimension cc of subentity (i,c)
Definition referenceelement.hh:111
int subEntity(int i, int c, int ii, int cc) const
obtain number of ii-th subentity with codim cc of (i,c)
Definition referenceelement.hh:130
typename Implementation::ctype ctype
The coordinate field type.
Definition referenceelement.hh:75
int size(int c) const
number of subentities of codimension c
Definition referenceelement.hh:94
decltype(auto) type() const
obtain the type of this reference element
Definition referenceelement.hh:184
const Implementation & impl() const
Returns a reference to the internal implementation object.
Definition referenceelement.hh:280
bool checkInside(const Coordinate &local) const
check if a coordinate is in the reference element
Definition referenceelement.hh:216
ctype CoordinateField
The coordinate field type.
Definition referenceelement.hh:78
bool operator==(const ReferenceElement &r) const
Compares for equality with another reference element.
Definition referenceelement.hh:286
decltype(auto) position(int i, int c) const
position of the barycenter of entity (i,c)
Definition referenceelement.hh:203
decltype(auto) integrationOuterNormal(int face) const
obtain the integration outer normal of the reference element
Definition referenceelement.hh:258
friend std::size_t hash_value(const ReferenceElement &r)
Yields a hash value suitable for storing the reference element a in hash table.
Definition referenceelement.hh:298
auto subEntities(int i, int c, int cc) const
Obtain the range of numbers of subentities with codim cc of (i,c)
Definition referenceelement.hh:153
ctype Volume
Type used for volume.
Definition referenceelement.hh:84
Collection of types depending on the codimension.
Definition referenceelement.hh:67
implementation-defined Geometry
type of geometry embedding a subentity into the reference element
Definition referenceelement.hh:69