linear_scalar_shapeset_barycentric.hpp

// Copyright (C) 2011-2013 by the BEM++ Authors
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#ifndef linear_scalar_shapeset_barycentric_hpp
#define linear_scalar_shapeset_barycentric_hpp

#include "basis.hpp"
#include "basis_data.hpp"
#include "piecewise_linear_continuous_scalar_basis.hpp"

namespace Fiber
{

template <typename ValueType>
class LinearScalarShapesetBarycentric : public Basis<ValueType>
{
public:
    typedef typename Basis<ValueType>::CoordinateType CoordinateType;
    enum BasisType {TYPE1,TYPE2};

public:

    LinearScalarShapesetBarycentric(BasisType type) :
        m_type(type)
    {
    }

    virtual int size() const {
        return 3;
    }

    virtual int order() const {
        return 1;
    }

    virtual void evaluate(size_t what,
                          const arma::Mat<CoordinateType>& points,
                          LocalDofIndex localDofIndex,
                          BasisData<ValueType>& data) const {

        BasisData<ValueType> temp;

        linearBasis.evaluate(what,points,ALL_DOFS,temp);

        ValueType coeffs[2][3][3] =
            {
            {{1,1./3,1./2},{0,1./3,0},{0,1./3,1./2}},
             {{1,1./2,1./3},{0,1./2,1./3},{0,0,1./3}}
            };

        int type_index;
        if (m_type == TYPE1)
            type_index = 0;
        else
            type_index = 1;

        if (localDofIndex != ALL_DOFS){

            if (what & VALUES){
                data.values.set_size(1,1,temp.values.extent(2));
                for (int i=0;i<data.values.extent(2);++i){
                    data.values(0,0,i) = 0;
                    for (int j=0;j<3;++j)
                        data.values(0,0,i) +=coeffs[type_index][localDofIndex][j]*
                                temp.values(0,j,i);
                }
            }
            if (what & DERIVATIVES){
                data.derivatives.set_size(1,temp.derivatives.extent(1),1,temp.derivatives.extent(3));
                for (int i=0;i<data.derivatives.extent(1);++i)
                    for (int j=0;j<data.derivatives.extent(3);++j){
                        data.derivatives(0,i,0,j) = 0;
                        for (int k=0;k<3;++k)
                            data.derivatives(0,i,0,j)+=
                                    coeffs[type_index][localDofIndex][k]*
                                    temp.derivatives(0,i,k,j);
                    }
            }

        }
        else {
            if (what & VALUES){
                data.values.set_size(1,3,temp.values.extent(2));
                for (int dofIndex=0;dofIndex<3;++dofIndex){
                    for (int i=0;i<data.values.extent(2);++i){
                        data.values(0,dofIndex,i) = 0;
                        for (int j=0;j<3;++j)
                            data.values(0,dofIndex,i) +=coeffs[type_index][dofIndex][j]*
                                    temp.values(0,j,i);

                    }
                }
            }

            if (what & DERIVATIVES){
                data.derivatives.set_size(1,temp.derivatives.extent(1),3,temp.derivatives.extent(3));
                for (int dofIndex=0;dofIndex<3;++dofIndex)
                    for (int i=0;i<data.derivatives.extent(1);++i)
                        for (int j=0;j<data.derivatives.extent(3);++j){
                            data.derivatives(0,i,dofIndex,j) = 0;
                            for (int k=0;k<3;++k)
                                data.derivatives(0,i,dofIndex,j)+=
                                        coeffs[type_index][dofIndex][k]*
                                        temp.derivatives(0,i,k,j);
                        }


                }
            }

    }



    virtual std::pair<const char*,int> clCodeString (bool isTestBasis) const {
        throw std::runtime_error("PiecewiseLinearContinuousScalarBasisBarycentric::clCodeString():"
                                 "OpenCL not supported for this basis type.");

    }

private:
    Fiber::PiecewiseLinearContinuousScalarBasis<3,ValueType> linearBasis;
    BasisType m_type;


};

} // namespace Fiber



#endif