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/usr/include/dune/localfunctions/lagrange/pk3d/pk3dlocalinterpolation.hh is in libdune-localfunctions-dev 2.2.1-2.

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// -*- tab-width: 8; indent-tabs-mode: nil; c-basic-offset: 4 -*-
// vi: set ts=8 sw=4 et sts=4:
#ifndef DUNE_Pk3DLOCALINTERPOLATION_HH
#define DUNE_Pk3DLOCALINTERPOLATION_HH

#include <vector>

namespace Dune
{
    template<class LB>
    class Pk3DLocalInterpolation
    {
        enum {N = LB::N};
        enum {k = LB::O};

    private:
        static const int kdiv = (k == 0 ? 1 : k);
    public:

        template<typename F, typename C>
        void interpolate (const F& f, std::vector<C>& out) const
        {
            typename LB::Traits::DomainType x;
            typename LB::Traits::RangeType y;
            typedef typename LB::Traits::DomainFieldType D;
            out.resize(N);
            int n=0;
            for (int i2 = 0; i2 <= k; i2++)
                for (int i1 = 0; i1 <= k-i2; i1++)
                    for (int i0 = 0; i0 <= k-i1-i2; i0++)
                    {
                        x[0] = ((D)i0)/((D)kdiv);
                        x[1] = ((D)i1)/((D)kdiv);
                        x[2] = ((D)i2)/((D)kdiv);
                        f.evaluate(x,y);
                        out[n] = y;
                        n++;
                    }
        }

    };
}

#endif