eigen/doc/snippets/Jacobi_makeGivens.cpp

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Vector2f v = Vector2f::Random();
PlanarRotation<float> G;
G.makeGivens(v.x(), v.y());
cout << "Here is the vector v:" << endl << v << endl;
v.applyOnTheLeft(0, 1, G.adjoint());
cout << "Here is the vector J' * v:" << endl << v << endl;