LinearBasisFunction.cpp

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*/
 
#include "UblasCustomFunctions.hpp"
#include "LinearBasisFunction.hpp"
#include "ChastePoint.hpp"
#include <cassert>
 
template <>
double LinearBasisFunction<3>::ComputeBasisFunction(
    const ChastePoint<3>& rPoint,
    unsigned basisIndex)
{
    assert(basisIndex <= 3);
 
    switch (basisIndex)
    {
        case 0:
            return 1.0 - rPoint[0] - rPoint[1] - rPoint[2];
            break;
        case 1:
            return rPoint[0];
            break;
        case 2:
            return rPoint[1];
            break;
        case 3:
            return rPoint[2];
            break;
        default:
            NEVER_REACHED; //not possible to get here because of assertions above
    }
 
    return 0.0; // LCOV_EXCL_LINE // Avoid compiler warning
}
 
template <>
double LinearBasisFunction<2>::ComputeBasisFunction(
    const ChastePoint<2>& rPoint,
    unsigned basisIndex)
{
    assert(basisIndex <= 2);
 
    switch (basisIndex)
    {
        case 0:
            return 1.0 - rPoint[0] - rPoint[1];
            break;
        case 1:
            return rPoint[0];
            break;
        case 2:
            return rPoint[1];
            break;
        default:
           NEVER_REACHED; //not possible to get here because of assertions above
    }
    return 0.0; // LCOV_EXCL_LINE // Avoid compiler warning
}
 
template <>
double LinearBasisFunction<1>::ComputeBasisFunction(
    const ChastePoint<1>& rPoint,
    unsigned basisIndex)
{
    assert(basisIndex <= 1);
 
    switch (basisIndex)
    {
        case 0:
            return 1.0 - rPoint[0];
            break;
        case 1:
            return rPoint[0];
            break;
        default:
           NEVER_REACHED; //not possible to get here because of assertions above
    }
    return 0.0; // LCOV_EXCL_LINE  // Avoid compiler warning
}
 
double LinearBasisFunction<0>::ComputeBasisFunction(const ChastePoint<0>& rPoint, unsigned basisIndex)
{
    assert(basisIndex == 0);
    return 1.0;
}
 
template <>
c_vector<double, 3> LinearBasisFunction<3>::ComputeBasisFunctionDerivative(
    const ChastePoint<3>& rPoint,
    unsigned basisIndex)
{
    assert(basisIndex <= 3);
 
    c_vector<double, 3> gradN;
    switch (basisIndex)
    {
        case 0:
            gradN(0) = -1;
            gradN(1) = -1;
            gradN(2) = -1;
            break;
        case 1:
            gradN(0) =  1;
            gradN(1) =  0;
            gradN(2) =  0;
            break;
        case 2:
            gradN(0) =  0;
            gradN(1) =  1;
            gradN(2) =  0;
            break;
        case 3:
            gradN(0) =  0;
            gradN(1) =  0;
            gradN(2) =  1;
            break;
        default:
           ; //not possible to get here because of assertions above
    }
    return gradN;
}
 
template <>
c_vector<double, 2> LinearBasisFunction<2>::ComputeBasisFunctionDerivative(
    const ChastePoint<2>& rPoint,
    unsigned basisIndex)
{
    assert(basisIndex <= 2);
 
    c_vector<double, 2> gradN;
    switch (basisIndex)
    {
        case 0:
            gradN(0) = -1;
            gradN(1) = -1;
            break;
        case 1:
            gradN(0) =  1;
            gradN(1) =  0;
            break;
        case 2:
            gradN(0) =  0;
            gradN(1) =  1;
            break;
        default:
           ; //not possible to get here because of assertions above
    }
    return gradN;
}
 
template <>
c_vector<double,1> LinearBasisFunction<1>::ComputeBasisFunctionDerivative(
    const ChastePoint<1>& rPoint,
    unsigned basisIndex)
{
    assert(basisIndex <= 1);
 
    c_vector<double,1> gradN;
    switch (basisIndex)
    {
        case 0:
            gradN(0) = -1;
            break;
        case 1:
            gradN(0) =  1;
            break;
        default:
           ; //not possible to get here because of assertions above
    }
    return gradN;
}
 
 
template <unsigned ELEMENT_DIM>
void LinearBasisFunction<ELEMENT_DIM>::ComputeBasisFunctions(const ChastePoint<ELEMENT_DIM>& rPoint,
                                                          c_vector<double, ELEMENT_DIM+1>& rReturnValue)
{
    assert(ELEMENT_DIM < 4 && ELEMENT_DIM > 0);
    for (unsigned i=0; i<ELEMENT_DIM+1; i++)
    {
        rReturnValue(i) = ComputeBasisFunction(rPoint, i);
    }
}
 
void LinearBasisFunction<0>::ComputeBasisFunctions(const ChastePoint<0>& rPoint,
                                                   c_vector<double,1>& rReturnValue)
{
    rReturnValue(0) = ComputeBasisFunction(rPoint, 0);
}
 
template <unsigned ELEMENT_DIM>
void LinearBasisFunction<ELEMENT_DIM>::ComputeBasisFunctionDerivatives(const ChastePoint<ELEMENT_DIM>& rPoint,
                                                                    c_matrix<double, ELEMENT_DIM, ELEMENT_DIM+1>& rReturnValue)
{
    assert(ELEMENT_DIM < 4 && ELEMENT_DIM > 0);
 
    for (unsigned j=0; j<ELEMENT_DIM+1; j++)
    {
        matrix_column<c_matrix<double, ELEMENT_DIM, ELEMENT_DIM+1> > column(rReturnValue, j);
        column = ComputeBasisFunctionDerivative(rPoint, j);
    }
}
 
template <unsigned ELEMENT_DIM>
void LinearBasisFunction<ELEMENT_DIM>::ComputeTransformedBasisFunctionDerivatives(const ChastePoint<ELEMENT_DIM>& rPoint,
                                                                               const c_matrix<double, ELEMENT_DIM, ELEMENT_DIM>& rInverseJacobian,
                                                                               c_matrix<double, ELEMENT_DIM, ELEMENT_DIM+1>& rReturnValue)
{
    assert(ELEMENT_DIM < 4 && ELEMENT_DIM > 0);
 
    ComputeBasisFunctionDerivatives(rPoint, rReturnValue);
    rReturnValue = prod(trans(rInverseJacobian), rReturnValue);
}
 
// Explicit instantiation
template class LinearBasisFunction<1>;
template class LinearBasisFunction<2>;
template class LinearBasisFunction<3>;