class_docstr: Tests the _generalized_pauli_decompose via pauli_decompose function
docstr: Tests that the Hamiltonian decomposes into a linear combination of tensors,
  the identity matrix, and Pauli matrices.
docstr_tok: ["Tests","that","the","Hamiltonian","decomposes","into","a","linear","combination","of","tensors",",","the","identity","matrix",",","and","Pauli","matrices","."]
code: def test_observable_types(self, hamiltonian, hide_identity):
      """Tests that the Hamiltonian decomposes into a linear combination of tensors,
      the identity matrix, and Pauli matrices."""
      allowed_obs = (Tensor, Identity, PauliX, PauliY, PauliZ)
  
      _, decomposed_obs = qml.pauli_decompose(
          hamiltonian, hide_identity, check_hermitian=False
      ).terms()
      assert all((isinstance(o, allowed_obs) for o in decomposed_obs))
  
imports: import pytest
  import numpy
  import pennylane
  from pennylane.operation import Tensor
  from pennylane.ops import Identity, PauliX, PauliY, PauliZ
  from pennylane.pauli import pauli_sentence, PauliWord, PauliSentence
  from pennylane.pauli.conversion import _generalized_pauli_decompose
label_desc: Use image node_id 5 for calling the TestPhasedDecomposition obj's underlying member method code with example usage: obj.test_observable_types(hamiltonian, hide_identity) without return types