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Further tinkering and additional test of the eigenvaues of symmTensors.
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@ -38,6 +38,12 @@ int main()
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<< (eigenVector(t6, e[2]) & t6) << e[2]*eigenVector(t6, e[2])
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<< endl;
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Info<< "Check eigenvalues for symmTensor "
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<< eigenValues(symm(t6)) - eigenValues(tensor(symm(t6))) << endl;
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Info<< "Check eigenvectors for symmTensor "
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<< eigenVectors(symm(t6)) - eigenVectors(tensor(symm(t6))) << endl;
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tensor t7(1, 2, 3, 2, 4, 5, 3, 5, 6);
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Info<< "Check transformation "
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@ -49,7 +55,7 @@ int main()
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<< transform(t1, st1) << endl;
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vector v1(1, 2, 3);
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Info<< sqr(v1) << endl;
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Info<< symm(t7) << endl;
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Info<< twoSymm(t7) << endl;
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@ -185,7 +185,7 @@ vector eigenValues(const tensor& t)
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vector eigenVector(const tensor& t, const scalar lambda)
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{
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if (lambda < SMALL)
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if (mag(lambda) < SMALL)
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{
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return vector::zero;
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}
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@ -292,22 +292,22 @@ vector eigenValues(const symmTensor& t)
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+ t.xy()*t.xy()*t.zz() + t.xx()*t.yz()*t.yz();
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// If there is a zero root
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if (mag(c) < SMALL)
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if (mag(c) < 1.0e-100)
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{
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scalar disc = sqr(a) - 4*b;
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if (disc > 0)
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if (disc >= -SMALL)
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{
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scalar q = -0.5*(a + sign(a)*sqrt(disc));
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scalar q = -0.5*sqrt(max(0.0, disc));
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i = 0;
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ii = q;
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iii = b/q;
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ii = -0.5*a + q;
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iii = -0.5*a - q;
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}
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else
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{
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FatalErrorIn("eigenValues(const symmTensor&)")
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<< "zero and complex eigenvalues in symmTensor: " << t
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FatalErrorIn("eigenValues(const tensor&)")
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<< "zero and complex eigenvalues in tensor: " << t
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<< abort(FatalError);
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}
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}
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@ -380,7 +380,7 @@ vector eigenValues(const symmTensor& t)
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vector eigenVector(const symmTensor& t, const scalar lambda)
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{
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if (lambda < SMALL)
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if (mag(lambda) < SMALL)
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{
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return vector::zero;
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}
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