Vector4d v = Vector4d::Random();
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Projective3d P(Matrix4d::Random());
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cout << "v = " << v.transpose() << "]^T" << endl;
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cout << "v.hnormalized() = " << v.hnormalized().transpose() << "]^T" << endl;
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cout << "P*v = " << (P*v).transpose() << "]^T" << endl;
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cout << "(P*v).hnormalized() = " << (P*v).hnormalized().transpose() << "]^T" << endl;
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