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========= |
\\ / F ield | OpenFOAM: The Open Source CFD Toolbox
\\ / O peration | Website: https://openfoam.org
\\ / A nd | Copyright (C) 2011-2020 OpenFOAM Foundation
\\/ M anipulation |
-------------------------------------------------------------------------------
License
This file is part of OpenFOAM.
OpenFOAM is free software: you can redistribute it and/or modify it
under the terms of the GNU General Public License as published by
the Free Software Foundation, either version 3 of the License, or
(at your option) any later version.
OpenFOAM is distributed in the hope that it will be useful, but WITHOUT
ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
for more details.
You should have received a copy of the GNU General Public License
along with OpenFOAM. If not, see <http://www.gnu.org/licenses/>.
\*---------------------------------------------------------------------------*/
#include "SymmetricSquareMatrix.H"
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
template<class Type>
Foam::SymmetricSquareMatrix<Type> Foam::invDecomposed
(
const SymmetricSquareMatrix<Type>& matrix
)
{
const label n = matrix.n();
SymmetricSquareMatrix<Type> inv(n, 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, 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);
}
// ************************************************************************* //
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