SymmetricSquareMatrix.C

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    Copyright (C) 2019-2020 OpenCFD Ltd.
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    This file is part of OpenFOAM.
 
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#include "SymmetricSquareMatrix.H"
 
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
 
template<class Type>
Foam::SymmetricSquareMatrix<Type> Foam::invDecomposed
(
    const SymmetricSquareMatrix<Type>& matrix
)
{
    const label n = matrix.n();
 
    SymmetricSquareMatrix<Type> inv(n, Foam::zero{});
 
    for (label i = 0; i < n; ++i)
    {
        inv(i, i) = 1.0/matrix(i, i);
 
        for (label j = 0; j < i; ++j)
        {
            Type sum = Zero;
 
            for (label k = j; k < i; ++k)
            {
                sum -= matrix(i, k)*inv(k, j);
            }
 
            inv(i, j) = sum/matrix(i, i);
        }
    }
 
    SymmetricSquareMatrix<Type> result(n, Foam::zero{});
 
    for (label k = 0; k < n; ++k)
    {
        for (label i = 0; i <= k; ++i)
        {
            for (label j = 0; j <= k; ++j)
            {
                result(i, j) += inv(k, i)*inv(k, j);
            }
        }
    }
 
    return result;
}
 
 
template<class Type>
Foam::SymmetricSquareMatrix<Type> Foam::inv
(
    const SymmetricSquareMatrix<Type>& matrix
)
{
    SymmetricSquareMatrix<Type> matrixTmp(matrix);
    LUDecompose(matrixTmp);
 
    return invDecomposed(matrixTmp);
}
 
 
template<class Type>
Type Foam::detDecomposed(const SymmetricSquareMatrix<Type>& matrix)
{
    Type diagProduct = pTraits<Type>::one;
 
    for (label i = 0; i < matrix.m(); ++i)
    {
        diagProduct *= matrix(i, i);
    }
 
    return sqr(diagProduct);
}
 
 
template<class Type>
Type Foam::det(const SymmetricSquareMatrix<Type>& matrix)
{
    SymmetricSquareMatrix<Type> matrixTmp(matrix);
    LUDecompose(matrixTmp);
 
    return detDecomposed(matrixTmp);
}
 
 
// * * * * * * * * * * * * * * * Member Operators  * * * * * * * * * * * * * //
 
template<class Type>
template<class AnyType>
void Foam::SymmetricSquareMatrix<Type>::operator=(const Identity<AnyType>)
{
    Matrix<SymmetricSquareMatrix<Type>, Type>::operator=(Foam::zero{});
 
    for (label i=0; i < this->n(); ++i)
    {
        this->operator()(i, i) = pTraits<Type>::one;
    }
}
 
 
// ************************************************************************* //