QuadraticBasisFunction.hpp

00001 /*
00002 
00003 Copyright (C) University of Oxford, 2005-2011
00004 
00005 University of Oxford means the Chancellor, Masters and Scholars of the
00006 University of Oxford, having an administrative office at Wellington
00007 Square, Oxford OX1 2JD, UK.
00008 
00009 This file is part of Chaste.
00010 
00011 Chaste is free software: you can redistribute it and/or modify it
00012 under the terms of the GNU Lesser General Public License as published
00013 by the Free Software Foundation, either version 2.1 of the License, or
00014 (at your option) any later version.
00015 
00016 Chaste is distributed in the hope that it will be useful, but WITHOUT
00017 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
00018 FITNESS FOR A PARTICULAR PURPOSE.  See the GNU Lesser General Public
00019 License for more details. The offer of Chaste under the terms of the
00020 License is subject to the License being interpreted in accordance with
00021 English Law and subject to any action against the University of Oxford
00022 being under the jurisdiction of the English Courts.
00023 
00024 You should have received a copy of the GNU Lesser General Public License
00025 along with Chaste. If not, see <http://www.gnu.org/licenses/>.
00026 
00027 */
00028 #ifndef _QUADRATICBASISFUNCTION_HPP_
00029 #define _QUADRATICBASISFUNCTION_HPP_
00030 
00031 #include <boost/numeric/ublas/matrix.hpp>
00032 
00033 #include "ChastePoint.hpp"
00034 
00039 template <unsigned ELEMENT_DIM>
00040 class QuadraticBasisFunction
00041 {
00042 public:
00043 
00044     static double ComputeBasisFunction(const ChastePoint<ELEMENT_DIM>& rPoint, unsigned basisIndex);
00045     static c_vector<double, ELEMENT_DIM> ComputeBasisFunctionDerivative(const ChastePoint<ELEMENT_DIM>& rPoint, unsigned basisIndex);
00046 
00047     static void ComputeBasisFunctions(const ChastePoint<ELEMENT_DIM>& rPoint, c_vector<double, (ELEMENT_DIM+1)*(ELEMENT_DIM+2)/2>& rReturnValue);
00048     static void ComputeBasisFunctionDerivatives(const ChastePoint<ELEMENT_DIM>& rPoint,
00049                                                 c_matrix<double, ELEMENT_DIM, (ELEMENT_DIM+1)*(ELEMENT_DIM+2)/2>& rReturnValue);
00050 
00051     static void ComputeTransformedBasisFunctionDerivatives(const ChastePoint<ELEMENT_DIM>& rPoint,
00052                                                            const c_matrix<double, ELEMENT_DIM, ELEMENT_DIM>& rInverseJacobian,
00053                                                            c_matrix<double, ELEMENT_DIM, (ELEMENT_DIM+1)*(ELEMENT_DIM+2)/2>& rReturnValue);
00054 };
00055 
00059 template<>
00060 class QuadraticBasisFunction<0>
00061 {
00062 public:
00063     static double ComputeBasisFunction(const ChastePoint<0>& rPoint, unsigned basisIndex);
00064     static void ComputeBasisFunctions(const ChastePoint<0>& rPoint, c_vector<double, 1>& rReturnValue);
00065 };
00066 
00067 #endif //_QUADRATICBASISFUNCTION_HPP_