/usr/include/freefoam/OpenFOAM/scalarMatricesTemplates.C is in libfreefoam-dev 0.1.0+dfsg-1build1.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
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========= |
\\ / F ield | OpenFOAM: The Open Source CFD Toolbox
\\ / O peration |
\\ / A nd | Copyright (C) 1991-2010 OpenCFD Ltd.
\\/ 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 "scalarMatrices.H"
#include <OpenFOAM/Swap.H>
// * * * * * * * * * * * * * * * Member Functions * * * * * * * * * * * * * //
template<class Type>
void Foam::solve
(
scalarSquareMatrix& tmpMatrix,
Field<Type>& sourceSol
)
{
label n = tmpMatrix.n();
// Elimination
for (register label i=0; i<n; i++)
{
label iMax = i;
scalar largestCoeff = mag(tmpMatrix[iMax][i]);
// Swap entries around to find a good pivot
for (register label j=i+1; j<n; j++)
{
if (mag(tmpMatrix[j][i]) > largestCoeff)
{
iMax = j;
largestCoeff = mag(tmpMatrix[iMax][i]);
}
}
if (i != iMax)
{
//Info<< "Pivoted on " << i << " " << iMax << endl;
for (register label k=i; k<n; k++)
{
Swap(tmpMatrix[i][k], tmpMatrix[iMax][k]);
}
Swap(sourceSol[i], sourceSol[iMax]);
}
// Check that the system of equations isn't singular
if (mag(tmpMatrix[i][i]) < 1e-20)
{
FatalErrorIn("solve(scalarSquareMatrix&, Field<Type>& sourceSol)")
<< "Singular Matrix"
<< exit(FatalError);
}
// Reduce to upper triangular form
for (register label j=i+1; j<n; j++)
{
sourceSol[j] -= sourceSol[i]*(tmpMatrix[j][i]/tmpMatrix[i][i]);
for (register label k=n-1; k>=i; k--)
{
tmpMatrix[j][k] -=
tmpMatrix[i][k]*tmpMatrix[j][i]/tmpMatrix[i][i];
}
}
}
// Back-substitution
for (register label j=n-1; j>=0; j--)
{
Type ntempvec = pTraits<Type>::zero;
for (register label k=j+1; k<n; k++)
{
ntempvec += tmpMatrix[j][k]*sourceSol[k];
}
sourceSol[j] = (sourceSol[j] - ntempvec)/tmpMatrix[j][j];
}
}
template<class Type>
void Foam::solve
(
Field<Type>& psi,
const scalarSquareMatrix& matrix,
const Field<Type>& source
)
{
scalarSquareMatrix tmpMatrix = matrix;
psi = source;
solve(tmpMatrix, psi);
}
template<class Type>
void Foam::LUBacksubstitute
(
const scalarSquareMatrix& luMatrix,
const labelList& pivotIndices,
Field<Type>& sourceSol
)
{
label n = luMatrix.n();
label ii = 0;
for (register label i=0; i<n; i++)
{
label ip = pivotIndices[i];
Type sum = sourceSol[ip];
sourceSol[ip] = sourceSol[i];
const scalar* __restrict__ luMatrixi = luMatrix[i];
if (ii != 0)
{
for (label j=ii-1; j<i; j++)
{
sum -= luMatrixi[j]*sourceSol[j];
}
}
else if (sum != pTraits<Type>::zero)
{
ii = i+1;
}
sourceSol[i] = sum;
}
for (register label i=n-1; i>=0; i--)
{
Type sum = sourceSol[i];
const scalar* __restrict__ luMatrixi = luMatrix[i];
for (register label j=i+1; j<n; j++)
{
sum -= luMatrixi[j]*sourceSol[j];
}
sourceSol[i] = sum/luMatrixi[i];
}
}
template<class Type>
void Foam::LUsolve
(
scalarSquareMatrix& matrix,
Field<Type>& sourceSol
)
{
labelList pivotIndices(matrix.n());
LUDecompose(matrix, pivotIndices);
LUBacksubstitute(matrix, pivotIndices, sourceSol);
}
// ************************ vim: set sw=4 sts=4 et: ************************ //
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