VonMisesVertexBasedDivisionRule.cpp

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#include "VonMisesVertexBasedDivisionRule.hpp"
#include "MathsCustomFunctions.hpp"
 
template<unsigned DIM>
VonMisesVertexBasedDivisionRule<DIM>::VonMisesVertexBasedDivisionRule()
   : AbstractVertexBasedDivisionRule<DIM>(),
     mMeanParameter(0.0),
     mConcentrationParameter(1.0)
{
}
 
template<unsigned DIM>
VonMisesVertexBasedDivisionRule<DIM>::~VonMisesVertexBasedDivisionRule()
{
}
 
template<unsigned DIM>
double VonMisesVertexBasedDivisionRule<DIM>::GetMeanParameter()
{
    return mMeanParameter;
}
 
template<unsigned DIM>
double VonMisesVertexBasedDivisionRule<DIM>::GetConcentrationParameter()
{
    return mConcentrationParameter;
}
 
template<unsigned DIM>
void VonMisesVertexBasedDivisionRule<DIM>::SetMeanParameter(double meanParameter)
{
    mMeanParameter = meanParameter;
}
 
template<unsigned DIM>
void VonMisesVertexBasedDivisionRule<DIM>::SetConcentrationParameter(double concentrationParameter)
{
    assert(concentrationParameter > 0);
    mConcentrationParameter = concentrationParameter;
}
 
template <unsigned SPACE_DIM>
c_vector<double, SPACE_DIM> VonMisesVertexBasedDivisionRule<SPACE_DIM>::CalculateCellDivisionVector(
    CellPtr pParentCell,
    VertexBasedCellPopulation<SPACE_DIM>& rCellPopulation)
{
    // Algorithm taken from: Fisher, Statistical Analysis of Circular Data, CUP (1993)
 
    double a = 1.0 + sqrt(1.0 + 4.0*mConcentrationParameter*mConcentrationParameter);
    double b = (a - sqrt(2.0*a)) / (2.0*mConcentrationParameter);
    double r = (1.0 + b*b) / (2.0*b);
 
    unsigned counter = 0;
    double theta = 0;
    while (counter <= 0)
    {
        double u1 = RandomNumberGenerator::Instance()->ranf();
        double u2 = RandomNumberGenerator::Instance()->ranf();
        double u3 = RandomNumberGenerator::Instance()->ranf();
 
        double z = cos(M_PI*u1);
        double f = (1.0 + r*z) / (r + z);
        double c = mConcentrationParameter*(r - f);
 
        if (((c*(2.0 - c) - u2) > 0.0) || ((log(c/u2) + 1.0 - c) > 0.0))
        {
            theta = fmod((Signum(u3 - 0.5)*std::acos(f)) + mMeanParameter, 2*M_PI);
            counter += 1;
        }
    }
 
    c_vector<double, SPACE_DIM> vector;
    vector(0) = cos(theta);
    vector(1) = sin(theta);
 
    return vector;
}
 
// Explicit instantiation
template class VonMisesVertexBasedDivisionRule<1>;
template class VonMisesVertexBasedDivisionRule<2>;
template class VonMisesVertexBasedDivisionRule<3>;
 
// Serialization for Boost >= 1.36
#include "SerializationExportWrapperForCpp.hpp"
EXPORT_TEMPLATE_CLASS_SAME_DIMS(VonMisesVertexBasedDivisionRule)