dune-localfunctions  2.5-git
meta/power/basis.hh
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1 // -*- tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 2 -*-
2 // vi: set et ts=4 sw=2 sts=2:
3 
4 #ifndef DUNE_LOCALFUNCTIONS_META_POWER_BASIS_HH
5 #define DUNE_LOCALFUNCTIONS_META_POWER_BASIS_HH
6 
7 #include <numeric>
8 #include <cstddef>
9 #include <vector>
10 
11 #include <dune/common/fmatrix.hh>
12 #include <dune/common/fvector.hh>
13 
14 namespace Dune {
15 
17 
23  template<class Backend, std::size_t dimR>
24  class PowerBasis {
25  static_assert(Backend::Traits::dimRange == 1,
26  "PowerBasis works only with scalar backends");
27 
28  // don't use a reference here so this class stays copyable
29  const Backend *backend;
30 
31  public:
33  struct Traits : public Backend::Traits
34  {
36  static const std::size_t dimRange = dimR;
38  typedef FieldVector<typename Traits::RangeField, dimR> Range;
39 
41 
45  typedef FieldMatrix<typename Traits::RangeField, dimR,
46  Traits::dimDomainGlobal> Jacobian;
47 
49  static const std::size_t diffOrder =
50  Backend::Traits::diffOrder > 0 ? 1 : 0;
51  };
52 
54 
60  PowerBasis(const Backend &backend_) : backend(&backend_) { }
61 
63  std::size_t size () const { return backend->size()*dimR; }
65  std::size_t order () const { return backend->order(); }
66 
68  void evaluateFunction(const typename Traits::DomainLocal& in,
69  std::vector<typename Traits::Range>& out) const
70  {
71  std::vector<typename Backend::Traits::Range> backendValues;
72  backend->evaluateFunction(in, backendValues);
73  out.assign(size(), typename Traits::Range(0));
74  for(std::size_t d = 0; d < dimR; ++d)
75  for(std::size_t i = 0; i < backend->size(); ++i)
76  out[d*backend->size()+i][d] = backendValues[i][0];
77  }
78 
80  void evaluateJacobian(const typename Traits::DomainLocal& in,
81  std::vector<typename Traits::Jacobian>& out) const
82  {
83  std::vector<typename Backend::Traits::Jacobian> backendValues;
84  backend->evaluateJacobian(in, backendValues);
85  out.assign(size(), typename Traits::Jacobian(0));
86  for(std::size_t d = 0; d < dimR; ++d)
87  for(std::size_t i = 0; i < backend->size(); ++i)
88  out[d*backend->size()+i][d] = backendValues[i][0];
89  }
90 
92  void partial (const std::array<unsigned int, Backend::Traits::dimDomainGlobal>& order,
93  const typename Traits::DomainLocal& in, // position
94  std::vector<typename Traits::Range>& out) const // return value
95  {
96  auto totalOrder = std::accumulate(order.begin(), order.end(), 0);
97  if (totalOrder == 0) {
98  evaluateFunction(in, out);
99  } else {
100  DUNE_THROW(NotImplemented, "Desired derivative order is not implemented");
101  }
102  }
103  };
104 
105 } // namespace Dune
106 
107 #endif // DUNE_LOCALFUNCTIONS_META_POWER_BASIS_HH
PowerBasis(const Backend &backend_)
Construct a PowerBasis.
Definition: meta/power/basis.hh:60
types of domain and range
Definition: meta/power/basis.hh:33
std::size_t size() const
Number of shape functions.
Definition: meta/power/basis.hh:63
Definition: brezzidouglasmarini1cube2dlocalbasis.hh:15
std::size_t order() const
Polynomial order of the shape functions for quadrature.
Definition: meta/power/basis.hh:65
void partial(const std::array< unsigned int, Backend::Traits::dimDomainGlobal > &order, const typename Traits::DomainLocal &in, std::vector< typename Traits::Range > &out) const
Evaluate partial derivatives of all shape functions.
Definition: meta/power/basis.hh:92
FieldVector< typename Traits::RangeField, dimR > Range
Type used for range values.
Definition: meta/power/basis.hh:38
FieldMatrix< typename Traits::RangeField, dimR, Traits::dimDomainGlobal > Jacobian
Jacobian properties.
Definition: meta/power/basis.hh:46
void evaluateJacobian(const typename Traits::DomainLocal &in, std::vector< typename Traits::Jacobian > &out) const
Evaluate Jacobian of all shape functions at given position.
Definition: meta/power/basis.hh:80
static const std::size_t dimRange
Dimension of the range values.
Definition: meta/power/basis.hh:36
void evaluateFunction(const typename Traits::DomainLocal &in, std::vector< typename Traits::Range > &out) const
Evaluate all shape functions at given position.
Definition: meta/power/basis.hh:68
static const std::size_t diffOrder
maximum number of partial derivatives supported
Definition: meta/power/basis.hh:49
Meta-basis turning a scalar basis into vector-valued basis.
Definition: meta/power/basis.hh:24