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Merge branch 'master' of /home/dm4/OpenFOAM/OpenFOAM-dev
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@ -116,17 +116,19 @@ int main(int argc, char *argv[])
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squareMatrix[2][1] = -43;
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squareMatrix[2][1] = -43;
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squareMatrix[2][2] = 98;
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squareMatrix[2][2] = 98;
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const scalarSquareMatrix squareMatrixCopy = squareMatrix;
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Info<< nl << "Square Matrix = " << squareMatrix << endl;
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Info<< nl << "Square Matrix = " << squareMatrix << endl;
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scalarDiagonalMatrix rhs(3, 0);
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Info<< "det = " << det(squareMatrixCopy) << endl;
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rhs[0] = 1;
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rhs[1] = 2;
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rhs[2] = 3;
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LUsolve(squareMatrix, rhs);
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labelList rhs(3, 0);
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label sign;
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LUDecompose(squareMatrix, rhs, sign);
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Info<< "Decomposition = " << squareMatrix << endl;
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Info<< "Decomposition = " << squareMatrix << endl;
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Info<< "Solution = " << rhs << endl;
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Info<< "Pivots = " << rhs << endl;
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Info<< "Sign = " << sign << endl;
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Info<< "det = " << detDecomposed(squareMatrix, sign) << endl;
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}
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}
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Info<< "\nEnd\n" << endl;
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Info<< "\nEnd\n" << endl;
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73
src/OpenFOAM/matrices/SquareMatrix/SquareMatrix.C
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73
src/OpenFOAM/matrices/SquareMatrix/SquareMatrix.C
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@ -0,0 +1,73 @@
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/*---------------------------------------------------------------------------*\
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========= |
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\\ / F ield | OpenFOAM: The Open Source CFD Toolbox
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\\ / O peration |
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\\ / A nd | Copyright (C) 2013 OpenFOAM Foundation
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\\/ M anipulation |
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-------------------------------------------------------------------------------
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License
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This file is part of OpenFOAM.
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OpenFOAM is free software: you can redistribute it and/or modify it
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under the terms of the GNU General Public License as published by
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the Free Software Foundation, either version 3 of the License, or
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(at your option) any later version.
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OpenFOAM is distributed in the hope that it will be useful, but WITHOUT
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ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
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FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
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for more details.
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You should have received a copy of the GNU General Public License
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along with OpenFOAM. If not, see <http://www.gnu.org/licenses/>.
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\*---------------------------------------------------------------------------*/
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#include "SquareMatrix.H"
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#include "labelList.H"
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// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
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template<class Type>
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Foam::scalar Foam::detDecomposed
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(
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const SquareMatrix<Type>& matrix,
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const label sign
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)
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{
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scalar diagProduct = 1.0;
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for (label i = 0; i < matrix.n(); ++i)
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{
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diagProduct *= matrix[i][i];
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}
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return sign*diagProduct;
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}
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template<class Type>
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Foam::scalar Foam::det(const SquareMatrix<Type>& matrix)
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{
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SquareMatrix<Type> matrixTmp = matrix;
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labelList pivotIndices(matrix.n());
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label sign;
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LUDecompose(matrixTmp, pivotIndices, sign);
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return detDecomposed(matrixTmp, sign);
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}
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template<class Type>
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Foam::scalar Foam::det(SquareMatrix<Type>& matrix)
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{
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labelList pivotIndices(matrix.n());
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label sign;
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LUDecompose(matrix, pivotIndices, sign);
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return detDecomposed(matrix, sign);
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}
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// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
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@ -2,7 +2,7 @@
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========= |
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========= |
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\\ / F ield | OpenFOAM: The Open Source CFD Toolbox
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\\ / F ield | OpenFOAM: The Open Source CFD Toolbox
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\\ / O peration |
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\\ / O peration |
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\\ / A nd | Copyright (C) 2011 OpenFOAM Foundation
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\\ / A nd | Copyright (C) 2011-2013 OpenFOAM Foundation
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\\/ M anipulation |
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\\/ M anipulation |
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-------------------------------------------------------------------------------
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-------------------------------------------------------------------------------
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License
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License
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@ -81,6 +81,21 @@ public:
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};
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};
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// Global functions
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//- Return the LU decomposed SquareMatrix det
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template<class Type>
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scalar detDecomposed(const SquareMatrix<Type>&, const label sign);
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//- Return the SquareMatrix det
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template<class Type>
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scalar det(const SquareMatrix<Type>&);
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//- Return the SquareMatrix det and the LU decomposition in the original matrix
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template<class Type>
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scalar det(SquareMatrix<Type>&);
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// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
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// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
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} // End namespace Foam
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} // End namespace Foam
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@ -91,6 +106,12 @@ public:
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// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
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// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
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#ifdef NoRepository
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# include "SquareMatrix.C"
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#endif
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// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
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#endif
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#endif
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// ************************************************************************* //
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// ************************************************************************* //
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@ -33,9 +33,22 @@ void Foam::LUDecompose
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scalarSquareMatrix& matrix,
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scalarSquareMatrix& matrix,
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labelList& pivotIndices
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labelList& pivotIndices
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)
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)
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{
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label sign;
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LUDecompose(matrix, pivotIndices, sign);
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}
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void Foam::LUDecompose
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(
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scalarSquareMatrix& matrix,
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labelList& pivotIndices,
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label& sign
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)
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{
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{
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label n = matrix.n();
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label n = matrix.n();
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scalar vv[n];
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scalar vv[n];
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sign = 1;
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for (register label i=0; i<n; i++)
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for (register label i=0; i<n; i++)
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{
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{
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@ -113,6 +126,7 @@ void Foam::LUDecompose
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Swap(matrixj[k], matrixiMax[k]);
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Swap(matrixj[k], matrixiMax[k]);
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}
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}
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sign *= -1;
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vv[iMax] = vv[j];
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vv[iMax] = vv[j];
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}
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}
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@ -79,6 +79,15 @@ void LUDecompose
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labelList& pivotIndices
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labelList& pivotIndices
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);
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);
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//- LU decompose the matrix with pivoting.
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// sign is -1 for odd number of row interchanges and 1 for even number.
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void LUDecompose
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(
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scalarSquareMatrix& matrix,
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labelList& pivotIndices,
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label& sign
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);
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//- LU decompose the matrix into a lower (L) and upper (U) part. U = L.T()
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//- LU decompose the matrix into a lower (L) and upper (U) part. U = L.T()
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void LUDecompose(scalarSymmetricSquareMatrix& matrix);
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void LUDecompose(scalarSymmetricSquareMatrix& matrix);
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