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#include "tensor.H"
#include "symmTensor.H"
#include "transform.H"
#include "stringList.H"
#include "IOstreams.H"
using namespace Foam;
int main()
{
tensor t1(1, 2, 3, 4, 5, 6, 7, 8, 9);
tensor t2(1, 2, 3, 1, 2, 3, 1, 2, 3);
tensor t3 = t1 + t2;
Info<< t3 << endl;
tensor t4(3,-2,1,-2,2,0,1, 0, 4);
Info<< inv(t4) << endl;
Info<< (inv(t4) & t4) << endl;
Info<< t1.x() << t1.y() << t1.z() << endl;
tensor t6(1,0,-4,0,5,4,-4,4,3);
//tensor t6(1,2,0,2,5,0,0,0,0);
Info<< "tensor " << t6 << endl;
vector e = eigenValues(t6);
Info<< "eigenvalues " << e << endl;
tensor ev = eigenVectors(t6);
Info<< "eigenvectors " << ev << endl;
Info<< "Check determinant " << e.x()*e.y()*e.z() << " " << det(t6) << endl;
Info<< "Check eigenvectors "
<< (eigenVector(t6, e[0]) & t6) << e[0]*eigenVector(t6, e[0]) << " "
<< (eigenVector(t6, e[1]) & t6) << e[1]*eigenVector(t6, e[1]) << " "
<< (eigenVector(t6, e[2]) & t6) << e[2]*eigenVector(t6, e[2])
<< endl;
Info<< "Check eigenvalues for symmTensor "
<< eigenValues(symm(t6)) - eigenValues(tensor(symm(t6))) << endl;
Info<< "Check eigenvectors for symmTensor "
<< eigenVectors(symm(t6)) - eigenVectors(tensor(symm(t6))) << endl;
tensor t7(1, 2, 3, 2, 4, 5, 3, 5, 6);
Info<< "Check transformation "
<< (t1 & t7 & t1.T()) << " " << transform(t1, t7) << endl;
symmTensor st1(1, 2, 3, 4, 5, 6);
symmTensor st2(7, 8, 9, 10, 11, 12);
Info<< "Check symmetric transformation "
<< transform(t1, st1) << endl;
Info<< "Check dot product of symmetric tensors "
<< (st1 & st2) << endl;
Info<< "Check inner sqr of a symmetric tensor "
<< innerSqr(st1) << " " << innerSqr(st1) - (st1 & st1) << endl;
Info<< "Check symmetric part of dot product of symmetric tensors "
<< twoSymm(st1&st2) - ((st1&st2) + (st2&st1)) << endl;
tensor sk1 = skew(t6);
Info<< "Check dot product of symmetric and skew tensors "
<< twoSymm(st1&sk1) - ((st1&sk1) - (sk1&st1)) << endl;
vector v1(1, 2, 3);
Info<< sqr(v1) << endl;
Info<< symm(t7) << endl;
Info<< twoSymm(t7) << endl;
Info<< magSqr(st1) << endl;
Info<< mag(st1) << endl;
Info<< (symm(t7) && t7) - (0.5*(t7 + t7.T()) && t7) << endl;
Info<< (t7 && symm(t7)) - (t7 && 0.5*(t7 + t7.T())) << endl;
/*
// Lots of awkward eigenvector tests ...
tensor T_rand_real
(
0.9999996423721313, 0.3330855667591095, 0.6646450161933899,
0.9745196104049683, 0.0369445420801640, 0.0846728682518005,
0.6474838852882385, 0.1617118716239929, 0.2041363865137100
);
DebugVar(T_rand_real);
vector L_rand_real(eigenValues(T_rand_real));
DebugVar(L_rand_real);
tensor U_rand_real(eigenVectors(T_rand_real));
DebugVar(U_rand_real);
Info << endl << endl;
tensor T_rand_imag
(
0.8668024539947510, 0.1664607226848602, 0.8925783634185791,
0.9126510620117188, 0.7408077120780945, 0.1499115079641342,
0.0936608463525772, 0.7615650296211243, 0.8953040242195129
);
DebugVar(T_rand_imag);
vector L_rand_imag(eigenValues(T_rand_imag));
DebugVar(L_rand_imag);
tensor U_rand_imag(eigenVectors(T_rand_imag));
DebugVar(U_rand_imag);
Info << endl << endl;
tensor T_rand_symm
(
1.9999992847442627, 1.3076051771640778, 1.3121289014816284,
1.3076051771640778, 0.0738890841603279, 0.2463847398757935,
1.3121289014816284, 0.2463847398757935, 0.4082727730274200
);
DebugVar(T_rand_symm);
vector L_rand_symm(eigenValues(T_rand_symm));
DebugVar(L_rand_symm);
tensor U_rand_symm(eigenVectors(T_rand_symm));
DebugVar(U_rand_symm);
Info << endl << endl;
symmTensor T_rand_Symm
(
1.9999992847442627, 1.3076051771640778, 1.3121289014816284,
0.0738890841603279, 0.2463847398757935,
0.4082727730274200
);
DebugVar(T_rand_Symm);
vector L_rand_Symm(eigenValues(T_rand_Symm));
DebugVar(L_rand_Symm);
tensor U_rand_Symm(eigenVectors(T_rand_Symm));
DebugVar(U_rand_Symm);
Info << endl << endl;
tensor T_rand_diag
(
0.8668024539947510, 0, 0,
0, 0.7408077120780945, 0,
0, 0, 0.8953040242195129
);
DebugVar(T_rand_diag);
vector L_rand_diag(eigenValues(T_rand_diag));
DebugVar(L_rand_diag);
tensor U_rand_diag(eigenVectors(T_rand_diag));
DebugVar(U_rand_diag);
Info << endl << endl;
tensor T_repeated
(
0, 1, 1,
1, 0, 1,
1, 1, 0
);
DebugVar(T_repeated);
vector L_repeated(eigenValues(T_repeated));
DebugVar(L_repeated);
tensor U_repeated(eigenVectors(T_repeated));
DebugVar(U_repeated);
Info << endl << endl;
tensor T_repeated_zero
(
1, 1, 1,
1, 1, 1,
1, 1, 1
);
DebugVar(T_repeated_zero);
vector L_repeated_zero(eigenValues(T_repeated_zero));
DebugVar(L_repeated_zero);
tensor U_repeated_zero(eigenVectors(T_repeated_zero));
DebugVar(U_repeated_zero);
Info << endl << endl;
tensor T_triple
(
2, 0, 0,
0, 2, 0,
0, 0, 2
);
DebugVar(T_triple);
vector L_triple(eigenValues(T_triple));
DebugVar(L_triple);
tensor U_triple(eigenVectors(T_triple));
DebugVar(U_triple);
*/
return 0;
}
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