Dune Core Modules (unstable)

virtualinterface.hh
1 // -*- tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 2 -*-
2 // vi: set et ts=4 sw=2 sts=2:
3 // SPDX-FileCopyrightInfo: Copyright © DUNE Project contributors, see file LICENSE.md in module root
4 // SPDX-License-Identifier: LicenseRef-GPL-2.0-only-with-DUNE-exception
5 #ifndef DUNE_LOCALFUNCTIONS_COMMON_VIRTUALINTERFACE_HH
6 #define DUNE_LOCALFUNCTIONS_COMMON_VIRTUALINTERFACE_HH
7 
8 #include <type_traits>
9 #include <array>
10 #include <vector>
11 #include <functional>
12 
13 #include <dune/geometry/type.hh>
14 
15 #include <dune/localfunctions/common/localbasis.hh>
16 #include <dune/localfunctions/common/localkey.hh>
17 #include <dune/localfunctions/common/localfiniteelementtraits.hh>
18 
19 namespace Dune
20 {
21 
22  // forward declaration needed by the helper traits
23  template<class DomainType, class RangeType>
24  class LocalInterpolationVirtualInterface;
25 
26 
27 
28  // -----------------------------------------------------------------
29  // Basis
30  // -----------------------------------------------------------------
31 
38  template<class T>
40  {
41  public:
42  using Traits = T;
43 
44 
45  virtual ~LocalBasisVirtualInterface() {}
46 
48  virtual unsigned int size () const = 0;
49 
51  virtual unsigned int order () const = 0;
52 
58  virtual void evaluateFunction (const typename Traits::DomainType& in,
59  std::vector<typename Traits::RangeType>& out) const = 0;
60 
69  virtual void evaluateJacobian(const typename Traits::DomainType& in, // position
70  std::vector<typename Traits::JacobianType>& out) const = 0;
71 
77  virtual void partial(const std::array<unsigned int,Traits::dimDomain>& order,
78  const typename Traits::DomainType& in,
79  std::vector<typename Traits::RangeType>& out) const = 0;
80  };
81 
82 
83 
84  // -----------------------------------------------------------------
85  // Interpolation
86  // -----------------------------------------------------------------
87 
100  template<class DomainType, class RangeType>
102  {
103  public:
104 
106  using FunctionType = std::function<RangeType(DomainType)>;
107 
109  typedef typename RangeType::field_type CoefficientType;
110 
112 
120  virtual void interpolate (const FunctionType& f, std::vector<CoefficientType>& out) const = 0;
121  };
122 
130  template<class DomainType, class RangeType>
132  : public LocalInterpolationVirtualInterfaceBase<DomainType, RangeType>
133  {
134  public:
135 
137  using FunctionType = std::function<RangeType(DomainType)>;
138 
140  typedef typename RangeType::field_type CoefficientType;
141 
142 
144 
145  // This method is only noted again for to make the documentation complete.
146 
154  virtual void interpolate (const FunctionType& f, std::vector<CoefficientType>& out) const = 0;
155 
161  template<class F,
162  std::enable_if_t<not std::is_base_of<FunctionType, F>::value, int> = 0>
163  void interpolate (const F& f, std::vector<CoefficientType>& out) const
164  {
166  asBase.interpolate(FunctionType(std::cref(f)),out);
167  }
168 
174  template<class F, class C>
175  void interpolate (const F& f, std::vector<C>& out) const
176  {
177  std::vector<CoefficientType> outDummy;
179  asBase.interpolate(FunctionType(std::cref(f)),outDummy);
180  out.resize(outDummy.size());
181  for(typename std::vector<CoefficientType>::size_type i=0; i<outDummy.size(); ++i)
182  out[i] = outDummy[i];
183  }
184  };
185 
186 
187 
188  // -----------------------------------------------------------------
189  // Coefficients
190  // -----------------------------------------------------------------
191 
198  {
199  public:
200 
202 
204  virtual std::size_t size () const = 0;
205 
207  const virtual LocalKey& localKey (std::size_t i) const = 0;
208 
209  };
210 
211 
212 
213  // -----------------------------------------------------------------
214  // Finite Element
215  // -----------------------------------------------------------------
216 
217 
223  template<class T>
225  {
226  using LocalBasisTraits = T;
227  public:
228  typedef LocalFiniteElementTraits<
234 
236 
238  virtual const typename Traits::LocalBasisType& localBasis () const = 0;
239 
241  virtual const typename Traits::LocalCoefficientsType& localCoefficients () const = 0;
242 
244  virtual const typename Traits::LocalInterpolationType& localInterpolation () const = 0;
245 
247  virtual unsigned int size () const = 0;
248 
250  virtual const GeometryType type () const = 0;
251 
252  virtual LocalFiniteElementVirtualInterface<T>* clone() const = 0;
253  };
254 }
255 #endif
Unique label for each type of entities that can occur in DUNE grids.
Definition: type.hh:114
virtual base class for a local basis
Definition: virtualinterface.hh:40
virtual unsigned int order() const =0
Polynomial order of the shape functions.
virtual void evaluateJacobian(const typename Traits::DomainType &in, std::vector< typename Traits::JacobianType > &out) const =0
Evaluate jacobian of all shape functions at given position.
virtual unsigned int size() const =0
Number of shape functions.
virtual void evaluateFunction(const typename Traits::DomainType &in, std::vector< typename Traits::RangeType > &out) const =0
Evaluate all basis function at given position.
virtual void partial(const std::array< unsigned int, Traits::dimDomain > &order, const typename Traits::DomainType &in, std::vector< typename Traits::RangeType > &out) const =0
Evaluate partial derivatives of any order of all shape functions.
virtual base class for local coefficients
Definition: virtualinterface.hh:198
virtual std::size_t size() const =0
number of coefficients
virtual const LocalKey & localKey(std::size_t i) const =0
get i'th index
virtual base class for local finite elements with functions
Definition: virtualinterface.hh:225
virtual const Traits::LocalBasisType & localBasis() const =0
virtual unsigned int size() const =0
virtual const GeometryType type() const =0
virtual const Traits::LocalCoefficientsType & localCoefficients() const =0
virtual const Traits::LocalInterpolationType & localInterpolation() const =0
virtual base class for a local interpolation
Definition: virtualinterface.hh:102
std::function< RangeType(DomainType)> FunctionType
type of function to interpolate
Definition: virtualinterface.hh:106
RangeType::field_type CoefficientType
type of the coefficient vector in the interpolate method
Definition: virtualinterface.hh:109
virtual void interpolate(const FunctionType &f, std::vector< CoefficientType > &out) const =0
determine coefficients interpolating a given function
virtual base class for a local interpolation
Definition: virtualinterface.hh:133
std::function< RangeType(DomainType)> FunctionType
type of function to interpolate
Definition: virtualinterface.hh:137
void interpolate(const F &f, std::vector< C > &out) const
determine coefficients interpolating a given function
Definition: virtualinterface.hh:175
RangeType::field_type CoefficientType
type of the coefficient vector in the interpolate method
Definition: virtualinterface.hh:140
virtual void interpolate(const FunctionType &f, std::vector< CoefficientType > &out) const =0
determine coefficients interpolating a given function
void interpolate(const F &f, std::vector< CoefficientType > &out) const
determine coefficients interpolating a given function
Definition: virtualinterface.hh:163
Describe position of one degree of freedom.
Definition: localkey.hh:24
Dune namespace.
Definition: alignedallocator.hh:13
D DomainType
domain type
Definition: localbasis.hh:43
R RangeType
range type
Definition: localbasis.hh:52
traits helper struct
Definition: localfiniteelementtraits.hh:13
LB LocalBasisType
Definition: localfiniteelementtraits.hh:16
LC LocalCoefficientsType
Definition: localfiniteelementtraits.hh:20
LI LocalInterpolationType
Definition: localfiniteelementtraits.hh:24
A unique label for each type of element that can occur in a grid.
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