QuadraticBasisFunction.hpp

/*

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*/
#ifndef _QUADRATICBASISFUNCTION_HPP_
#define _QUADRATICBASISFUNCTION_HPP_

#include "ChastePoint.hpp"
#include "UblasMatrixInclude.hpp"

template <unsigned ELEMENT_DIM>
class QuadraticBasisFunction
{
public:

    static double ComputeBasisFunction(const ChastePoint<ELEMENT_DIM>& rPoint, unsigned basisIndex);
    static c_vector<double, ELEMENT_DIM> ComputeBasisFunctionDerivative(const ChastePoint<ELEMENT_DIM>& rPoint, unsigned basisIndex);

    static void ComputeBasisFunctions(const ChastePoint<ELEMENT_DIM>& rPoint, c_vector<double, (ELEMENT_DIM+1)*(ELEMENT_DIM+2)/2>& rReturnValue);
    static void ComputeBasisFunctionDerivatives(const ChastePoint<ELEMENT_DIM>& rPoint,
                                                c_matrix<double, ELEMENT_DIM, (ELEMENT_DIM+1)*(ELEMENT_DIM+2)/2>& rReturnValue);

    static void ComputeTransformedBasisFunctionDerivatives(const ChastePoint<ELEMENT_DIM>& rPoint,
                                                           const c_matrix<double, ELEMENT_DIM, ELEMENT_DIM>& rInverseJacobian,
                                                           c_matrix<double, ELEMENT_DIM, (ELEMENT_DIM+1)*(ELEMENT_DIM+2)/2>& rReturnValue);
};

template<>
class QuadraticBasisFunction<0>
{
public:
    static double ComputeBasisFunction(const ChastePoint<0>& rPoint, unsigned basisIndex);
    static void ComputeBasisFunctions(const ChastePoint<0>& rPoint, c_vector<double, 1>& rReturnValue);
};

#endif //_QUADRATICBASISFUNCTION_HPP_