190 lines
5.1 KiB
C
190 lines
5.1 KiB
C
/*---------------------------------------------------------------------------*\
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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 |
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\\/ M anipulation |
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-------------------------------------------------------------------------------
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| Copyright (C) 2011-2016 OpenFOAM Foundation
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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 "scalarMatrices.H"
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#include "LUscalarMatrix.H"
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#include "LLTMatrix.H"
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#include "QRMatrix.H"
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#include "vector.H"
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#include "tensor.H"
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#include "IFstream.H"
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using namespace Foam;
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// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
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// Main program:
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int main(int argc, char *argv[])
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{
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SquareMatrix<scalar> hmm(3);
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hmm(0, 0) = -3.0;
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hmm(0, 1) = 10.0;
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hmm(0, 2) = -4.0;
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hmm(1, 0) = 2.0;
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hmm(1, 1) = 3.0;
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hmm(1, 2) = 10.0;
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hmm(2, 0) = 2.0;
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hmm(2, 1) = 6.0;
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hmm(2, 2) = 1.0;
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//Info<< hmm << endl << hmm - 2.0*(-hmm) << endl;
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Info<< max(hmm) << endl;
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Info<< min(hmm) << endl;
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SquareMatrix<scalar> hmm2(3, I);
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hmm = hmm2;
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Info<< hmm << endl;
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//SquareMatrix<scalar> hmm3(Sin);
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//Info<< hmm3 << endl;
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SquareMatrix<scalar> hmm4;
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hmm4 = hmm2;
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Info<< hmm4 << endl;
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SquareMatrix<scalar> hmm5;
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hmm4 = hmm5;
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Info<< hmm5 << endl;
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{
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RectangularMatrix<scalar> rm1(5, 6, 3.1);
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rm1(0, 1) = 4.5;
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RectangularMatrix<scalar> rm1b(rm1.block(2, 2, 0, 0));
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Info<< "rm1b = " << rm1b << endl;
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}
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{
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scalarSymmetricSquareMatrix symmMatrix(3, Zero);
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symmMatrix(0, 0) = 4;
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symmMatrix(1, 0) = 12;
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symmMatrix(1, 1) = 37;
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symmMatrix(2, 0) = -16;
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symmMatrix(2, 1) = -43;
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symmMatrix(2, 2) = 98;
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Info<< "Symmetric Square Matrix = " << symmMatrix << endl;
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Info<< "Inverse = " << inv(symmMatrix) << endl;
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Info<< "Determinant = " << det(symmMatrix) << endl;
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scalarSymmetricSquareMatrix symmMatrix2(symmMatrix);
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LUDecompose(symmMatrix2);
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Info<< "Inverse = " << invDecomposed(symmMatrix2) << endl;
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Info<< "Determinant = " << detDecomposed(symmMatrix2) << endl;
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scalarDiagonalMatrix rhs(3, 0);
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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(symmMatrix, rhs);
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Info<< "Decomposition = " << symmMatrix << endl;
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Info<< "Solution = " << rhs << endl;
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}
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scalarSquareMatrix squareMatrix(3, Zero);
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squareMatrix(0, 0) = 4;
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squareMatrix(0, 1) = 12;
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squareMatrix(0, 2) = -16;
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squareMatrix(1, 0) = 12;
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squareMatrix(1, 1) = 37;
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squareMatrix(1, 2) = -43;
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squareMatrix(2, 0) = -16;
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squareMatrix(2, 1) = -43;
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squareMatrix(2, 2) = 98;
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Info<< nl << "Square Matrix = " << squareMatrix << endl;
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const scalarField source(3, 1);
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{
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{
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scalarSquareMatrix sm(squareMatrix);
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Info<< "det = " << det(sm) << endl;
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}
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scalarSquareMatrix sm(squareMatrix);
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labelList rhs(3, 0);
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label sign;
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LUDecompose(sm, rhs, sign);
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Info<< "Decomposition = " << sm << endl;
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Info<< "Pivots = " << rhs << endl;
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Info<< "Sign = " << sign << endl;
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Info<< "det = " << detDecomposed(sm, sign) << endl;
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}
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{
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LUscalarMatrix LU(squareMatrix);
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scalarField x(LU.solve(source));
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Info<< "LU solve residual " << (squareMatrix*x - source) << endl;
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scalarSquareMatrix inv(3);
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LU.inv(inv);
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Info<< "LU inv " << inv << endl;
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Info<< "LU inv*squareMatrix " << (inv*squareMatrix) << endl;
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}
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{
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LLTMatrix<scalar> LLT(squareMatrix);
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scalarField x(LLT.solve(source));
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Info<< "LLT solve residual " << (squareMatrix*x - source) << endl;
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}
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{
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QRMatrix<scalarSquareMatrix> QR(squareMatrix);
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scalarField x(QR.solve(source));
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Info<< "QR solve residual "
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<< (squareMatrix*x - source) << endl;
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Info<< "QR inverse solve residual "
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<< (x - QR.inv()*source) << endl;
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Info<< "QR inv *squareMatrix " << (QR.inv()*squareMatrix) << endl;
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}
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Info<< "\nEnd\n" << endl;
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return 0;
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}
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// ************************************************************************* //
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