class_docstr: Test that the interaction between a ``HardwareHamiltonian`` and other operators work as
  expected.
class_docstr_tok: ["Test","that","the","interaction","between","a","``","HardwareHamiltonian","``","and","other","operators","work","as","expected","."]
docstr: Test that a Hamiltonian and SProd can be added to a HardwareHamiltonian, and
  will be incorporated in the H_fixed term, with their coefficients included in H_coeffs_fixed.
docstr_tok: ["Test","that","a","Hamiltonian","and","SProd","can","be","added","to","a","HardwareHamiltonian",",","and","will","be","incorporated","in","the","H_fixed","term",",","with","their","coefficients","included","in","H_coeffs_fixed","."]
code: def test_add_special_operators(self, H, coeff):
      """Test that a Hamiltonian and SProd can be added to a HardwareHamiltonian, and
      will be incorporated in the H_fixed term, with their coefficients included in H_coeffs_fixed.
      """
      R = drive(amplitude=f1, phase=0, wires=[0, 1])
      params = [1, 2]
      # Adding on the right
      new_pH = R + H
      assert isinstance(new_pH, HardwareHamiltonian)
      assert R.H_fixed() == 0
      assert qml.equal(
          new_pH.H_fixed(), qml.s_prod(coeff, qml.PauliZ(0))
      )
      assert new_pH.coeffs_fixed[0] == coeff
      assert qml.math.allequal(
          new_pH(params, t=0.5).matrix(),
          qml.matrix(R(params, t=0.5) + H),
      )
      # Adding on the left
      new_pH = H + R
      assert isinstance(new_pH, HardwareHamiltonian)
      assert R.H_fixed() == 0
      assert qml.equal(
          new_pH.H_fixed(), qml.s_prod(coeff, qml.PauliZ(0))
      )
      assert new_pH.coeffs_fixed[0] == coeff
      assert qml.math.allequal(
          new_pH(params, t=0.5).matrix(),
          qml.matrix(R(params, t=0.5) + H),
      )
  
imports: import numpy
  import pytest
  import pennylane
  from pennylane.pulse import HardwareHamiltonian, drive, rydberg_interaction
  from pennylane.pulse.hardware_hamiltonian import HardwarePulse, AmplitudeAndPhase, amplitude_and_phase, _reorder_parameters
  from pennylane.pulse.transmon import TransmonSettings
  from pennylane.pulse.rydberg import RydbergSettings
  from pennylane.wires import Wires
label_desc: Use image node_id 1 for calling the TestInteractionWithOperators obj's underlying member method code with example usage: obj.test_add_special_operators(H, coeff) without return types