class_docstr: Test that arithmetic operations involving or creating ParametrizedHamiltonians behave as expected
docstr: Test that a Hamiltonian and SProd can be added to a ParametrizedHamiltonian, 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","ParametrizedHamiltonian",",","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 ParametrizedHamiltonian, and
      will be incorporated in the H_fixed term, with their coefficients included in H_coeffs_fixed
      """
      pH = ParametrizedHamiltonian(
          [f1, f2, 2], [qml.PauliX(0), qml.PauliY(1), qml.PauliZ(2)]
      )
      pH_fixed = qml.s_prod(2, qml.PauliZ(2))
      params = [1, 2]
      # Adding on the right
      new_pH = pH + H
      assert qml.equal(pH.H_fixed(), pH_fixed)
      assert qml.equal(
          new_pH.H_fixed(),
          sum((pH_fixed, qml.s_prod(coeff, qml.PauliZ(0)))),
      )
      assert new_pH.coeffs_fixed == [2, coeff]
      assert qml.math.allclose(
          new_pH(params, t=0.5).matrix(),
          qml.matrix(pH(params, t=0.5) + H, wire_order=new_pH.wires),
      )
      # Adding on the left
      new_pH = H + pH
      assert qml.equal(pH.H_fixed(), pH_fixed)
      assert qml.equal(
          new_pH.H_fixed(),
          sum((qml.s_prod(coeff, qml.PauliZ(0)), pH_fixed)),
      )
      assert new_pH.coeffs_fixed == [coeff, 2]
      assert qml.math.allclose(
          new_pH(params, t=0.5).matrix(),
          qml.matrix(pH(params, t=0.5) + H, wire_order=new_pH.wires),
      )
  
imports: import pytest
  import pennylane
  from pennylane import numpy
  from pennylane.pulse import ParametrizedHamiltonian
  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