/usr/include/dune/localfunctions/refined/refinedp0/refinedp0localinterpolation.hh is in libdune-localfunctions-dev 2.4.1-1.
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// vi: set et ts=4 sw=2 sts=2:
#ifndef DUNE_REFINED_P0_LOCALINTERPOLATION_HH
#define DUNE_REFINED_P0_LOCALINTERPOLATION_HH
#include <dune/localfunctions/refined/refinedp0/refinedp0localbasis.hh>
namespace Dune
{
template<class LB>
class RefinedP0LocalInterpolation
{};
template<class D, class R>
class RefinedP0LocalInterpolation<RefinedP0LocalBasis<D,R,1> >
{
typedef RefinedP0LocalBasis<D,R,1> LB;
typedef typename LB::Traits::DomainType DT;
public:
RefinedP0LocalInterpolation() :
interpolationPoints_(2)
{
// Interpolation is done by evaluating at the halved segments centers
interpolationPoints_[0][0] = 1.0/4.0;
interpolationPoints_[1][0] = 3.0/4.0;
}
template<typename F, typename C>
void interpolate (const F& f, std::vector<C>& out) const
{
typename LB::Traits::RangeType y;
out.resize(interpolationPoints_.size());
for (size_t i = 0; i < out.size(); ++i)
{
f.evaluate(interpolationPoints_[i], y);
out[i] = y;
}
}
private:
std::vector<DT> interpolationPoints_;
};
template<class D, class R>
class RefinedP0LocalInterpolation<RefinedP0LocalBasis<D,R,2> >
{
typedef RefinedP0LocalBasis<D,R,2> LB;
typedef typename LB::Traits::DomainType DT;
public:
RefinedP0LocalInterpolation() :
interpolationPoints_(4)
{
// Interpolation is done by evaluating at the subtriangle centers
interpolationPoints_[0][0] = 1.0/6;
interpolationPoints_[0][1] = 1.0/6;
interpolationPoints_[1][0] = 4.0/6;
interpolationPoints_[1][1] = 1.0/6;
interpolationPoints_[2][0] = 1.0/6;
interpolationPoints_[2][1] = 4.0/6;
interpolationPoints_[3][0] = 2.0/6;
interpolationPoints_[3][1] = 2.0/6;
}
template<typename F, typename C>
void interpolate (const F& f, std::vector<C>& out) const
{
typename LB::Traits::RangeType y;
out.resize(interpolationPoints_.size());
for (size_t i = 0; i < out.size(); ++i)
{
f.evaluate(interpolationPoints_[i], y);
out[i] = y;
}
}
private:
std::vector<DT> interpolationPoints_;
};
template<class D, class R>
class RefinedP0LocalInterpolation<RefinedP0LocalBasis<D,R,3> >
{
typedef RefinedP0LocalBasis<D,R,3> LB;
typedef typename LB::Traits::DomainType DT;
public:
RefinedP0LocalInterpolation() :
interpolationPoints_(8)
{
// Interpolation is done by evaluating at the subtriangle centers
interpolationPoints_[0][0] = 1.0/8;
interpolationPoints_[0][1] = 1.0/8;
interpolationPoints_[0][2] = 1.0/8;
interpolationPoints_[1][0] = 5.0/8;
interpolationPoints_[1][1] = 1.0/8;
interpolationPoints_[1][2] = 1.0/8;
interpolationPoints_[2][0] = 1.0/8;
interpolationPoints_[2][1] = 5.0/8;
interpolationPoints_[2][2] = 1.0/8;
interpolationPoints_[3][0] = 1.0/8;
interpolationPoints_[3][1] = 1.0/8;
interpolationPoints_[3][2] = 5.0/8;
interpolationPoints_[4][0] = 1.0/4;
interpolationPoints_[4][1] = 1.0/8;
interpolationPoints_[4][2] = 1.0/4;
interpolationPoints_[5][0] = 3.0/8;
interpolationPoints_[5][1] = 1.0/4;
interpolationPoints_[5][2] = 1.0/8;
interpolationPoints_[6][0] = 1.0/8;
interpolationPoints_[6][1] = 1.0/4;
interpolationPoints_[6][2] = 3.0/8;
interpolationPoints_[7][0] = 1.0/4;
interpolationPoints_[7][1] = 3.0/8;
interpolationPoints_[7][2] = 1.0/4;
}
template<typename F, typename C>
void interpolate (const F& f, std::vector<C>& out) const
{
typename LB::Traits::RangeType y;
out.resize(interpolationPoints_.size());
for (size_t i = 0; i < out.size(); ++i)
{
f.evaluate(interpolationPoints_[i], y);
out[i] = y;
}
}
private:
std::vector<DT> interpolationPoints_;
};
}
#endif
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