SymmetricSquareMatrix.C

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/*---------------------------------------------------------------------------*\
  =========                 |
  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
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    \\  /    A nd           | Copyright (C) 2011-2013 OpenFOAM Foundation
     \\/     M anipulation  |
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#include "SymmetricSquareMatrix.H"
 
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
 
template<class Type>
Foam::SymmetricSquareMatrix<Type> Foam::invDecomposed
(
    const SymmetricSquareMatrix<Type>& matrix
)
{
    SymmetricSquareMatrix<Type> inv(matrix.n(), matrix.n(), 0.0);
 
    for (label i = 0; i < matrix.n(); ++i)
    {
        inv[i][i] = 1.0/matrix[i][i];
 
        for (label j = 0; j < i; ++j)
        {
            scalar sum = 0.0;
 
            for (label k = j; k < i; k++)
            {
                sum -= matrix[i][k]*inv[k][j];
            }
 
            inv[i][j] = sum/matrix[i][i];
        }
    }
 
    return inv.T()*inv;
}
 
 
template<class Type>
Foam::SymmetricSquareMatrix<Type> Foam::inv
(
    const SymmetricSquareMatrix<Type>& matrix
)
{
    SymmetricSquareMatrix<Type> matrixTmp(matrix);
 
    LUDecompose(matrixTmp);
 
    return invDecomposed(matrixTmp);
}
 
 
template<class Type>
Foam::scalar Foam::detDecomposed(const SymmetricSquareMatrix<Type>& matrix)
{
    scalar diagProduct = 1.0;
 
    for (label i = 0; i < matrix.n(); ++i)
    {
        diagProduct *= matrix[i][i];
    }
 
    return sqr(diagProduct);
}
 
 
template<class Type>
Foam::scalar Foam::det(const SymmetricSquareMatrix<Type>& matrix)
{
    SymmetricSquareMatrix<Type> matrixTmp = matrix;
 
    LUDecompose(matrixTmp);
 
    return detDecomposed(matrixTmp);
}
 
 
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //