5#ifndef DUNE_LAGRANGEBASIS_INTERPOLATION_HH
6#define DUNE_LAGRANGEBASIS_INTERPOLATION_HH
14#include <dune/localfunctions/lagrange/lagrangecoefficients.hh>
19 template<
template <
class,
unsigned int>
class LP,
20 unsigned int dim,
class F >
21 struct LagrangeInterpolationFactory;
26 template<
template <
class,
unsigned int>
class LP,
unsigned int dim,
class F >
27 class LocalLagrangeInterpolation
29 typedef LocalLagrangeInterpolation< LP,dim,F > This;
32 typedef LP<F,dim> LagrangePointSet;
33 typedef typename LagrangePointSet::Field Field;
35 static const unsigned int dimension = LagrangePointSet::dimension;
38 friend struct LagrangeInterpolationFactory<LP,dim,F>;
39 const LagrangePointSet &lagrangePoints_;
41 explicit LocalLagrangeInterpolation (
const LagrangePointSet &lagrangePoints )
42 : lagrangePoints_( lagrangePoints )
45 const LagrangePointSet *points ()
const {
return &lagrangePoints_; }
47 template<
class Fn,
class Vector >
48 auto interpolate (
const Fn &fn, Vector &coefficients, PriorityTag< 1 > )
const
49 -> std::enable_if_t< std::is_invocable_v<
const Fn &,
decltype( this->lagrangePoints_.begin()->point() ) > >
51 unsigned int index = 0;
52 for(
const auto &lp : lagrangePoints_ )
53 field_cast( fn( lp.point() ), coefficients[ index++ ] );
57 template<
class Fn,
class Vector,
58 decltype(std::declval<Vector>().size(),
bool{}) =
true,
59 decltype(std::declval<Vector>().resize(0u),
bool{}) =
true>
60 void interpolate (
const Fn &fn, Vector &coefficients )
const
62 coefficients.resize( lagrangePoints_.size() );
63 interpolate( fn, coefficients, PriorityTag< 42 >() );
66 template<
class Basis,
class Matrix,
67 decltype(std::declval<Matrix>().rows(),
bool{}) =
true,
68 decltype(std::declval<Matrix>().cols(),
bool{}) =
true,
69 decltype(std::declval<Matrix>().resize(0u,0u),
bool{}) =
true>
70 void interpolate (
const Basis &basis, Matrix &coefficients )
const
72 coefficients.resize( lagrangePoints_.size(), basis.size( ) );
74 unsigned int index = 0;
75 for(
const auto &lp : lagrangePoints_ )
76 basis.template evaluate< 0 >( lp.point(), coefficients[index++] );
79 const LagrangePointSet &lagrangePoints ()
const {
return lagrangePoints_; }
86 template<
template <
class,
unsigned int>
class LP,
87 unsigned int dim,
class F >
88 struct LagrangeInterpolationFactory
90 typedef LagrangeCoefficientsFactory<LP,dim,F> LagrangePointSetFactory;
91 typedef typename LagrangePointSetFactory::Object LagrangePointSet;
93 typedef typename LagrangePointSetFactory::Key Key;
94 typedef const LocalLagrangeInterpolation< LP,dim,F > Object;
96 template< GeometryType::Id geometryId >
97 static Object *create (
const Key &key )
99 const LagrangePointSet *lagrangeCoeff
100 = LagrangePointSetFactory::template create< geometryId >( key );
101 if ( lagrangeCoeff == 0 )
104 return new Object( *lagrangeCoeff );
106 template< GeometryType::Id geometryId >
107 static bool supports (
const Key &key )
111 static void release( Object *
object)
113 LagrangePointSetFactory::release( object->points() );
static void interpolate(const GridFunction &u, DiscreteFunction &v)
perform native interpolation of a discrete function space
Definition: interpolate.hh:54
Dune namespace.
Definition: alignedallocator.hh:13
void field_cast(const F1 &f1, F2 &f2)
a helper class to cast from one field to another
Definition: field.hh:159
Utilities for type computations, constraining overloads, ...