QuadraticBasisFunction.hpp

00001 /*
00002 
00003 Copyright (c) 2005-2015, University of Oxford.
00004 All rights reserved.
00005 
00006 University of Oxford means the Chancellor, Masters and Scholars of the
00007 University of Oxford, having an administrative office at Wellington
00008 Square, Oxford OX1 2JD, UK.
00009 
00010 This file is part of Chaste.
00011 
00012 Redistribution and use in source and binary forms, with or without
00013 modification, are permitted provided that the following conditions are met:
00014  * Redistributions of source code must retain the above copyright notice,
00015    this list of conditions and the following disclaimer.
00016  * Redistributions in binary form must reproduce the above copyright notice,
00017    this list of conditions and the following disclaimer in the documentation
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00022 
00023 THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
00024 AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
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00034 */
00035 #ifndef _QUADRATICBASISFUNCTION_HPP_
00036 #define _QUADRATICBASISFUNCTION_HPP_
00037 
00038 #include "ChastePoint.hpp"
00039 #include "UblasMatrixInclude.hpp"
00040 
00045 template <unsigned ELEMENT_DIM>
00046 class QuadraticBasisFunction
00047 {
00048 public:
00049 
00050     static double ComputeBasisFunction(const ChastePoint<ELEMENT_DIM>& rPoint, unsigned basisIndex);
00051     static c_vector<double, ELEMENT_DIM> ComputeBasisFunctionDerivative(const ChastePoint<ELEMENT_DIM>& rPoint, unsigned basisIndex);
00052 
00053     static void ComputeBasisFunctions(const ChastePoint<ELEMENT_DIM>& rPoint, c_vector<double, (ELEMENT_DIM+1)*(ELEMENT_DIM+2)/2>& rReturnValue);
00054     static void ComputeBasisFunctionDerivatives(const ChastePoint<ELEMENT_DIM>& rPoint,
00055                                                 c_matrix<double, ELEMENT_DIM, (ELEMENT_DIM+1)*(ELEMENT_DIM+2)/2>& rReturnValue);
00056 
00057     static void ComputeTransformedBasisFunctionDerivatives(const ChastePoint<ELEMENT_DIM>& rPoint,
00058                                                            const c_matrix<double, ELEMENT_DIM, ELEMENT_DIM>& rInverseJacobian,
00059                                                            c_matrix<double, ELEMENT_DIM, (ELEMENT_DIM+1)*(ELEMENT_DIM+2)/2>& rReturnValue);
00060 };
00061 
00065 template<>
00066 class QuadraticBasisFunction<0>
00067 {
00068 public:
00069     static double ComputeBasisFunction(const ChastePoint<0>& rPoint, unsigned basisIndex);
00070     static void ComputeBasisFunctions(const ChastePoint<0>& rPoint, c_vector<double, 1>& rReturnValue);
00071 };
00072 
00073 #endif //_QUADRATICBASISFUNCTION_HPP_