class_docstr: Test that differentiating tapes with ``pulse_odegen`` works.
class_docstr_tok: ["Test","that","differentiating","tapes","with","``","pulse_odegen","``","works","."]
docstr: Test that a single pulse with multiple Hamiltonian terms is
  differentiated correctly.
docstr_tok: ["Test","that","a","single","pulse","with","multiple","Hamiltonian","terms","is","differentiated","correctly","."]
code: def test_multi_pulse(self, dev_name, shots, tol):
      """Test that a single pulse with multiple Hamiltonian terms is
      differentiated correctly."""
      import jax
      import jax.numpy as jnp
  
      prng_key = jax.random.PRNGKey(8251)
      dev = qml.device(dev_name, wires=1, shots=None)
      key = "prng_key" if dev_name == "default.qubit.jax" else "seed"
      dev_shots = qml.device(
          dev_name, wires=1, shots=shots, **{key: prng_key}
      )
  
      H0 = 0.1 * Z(0) + jnp.polyval * X(0)
      H1 = 0.2 * Y(0) + qml.pulse.constant * Y(0) + jnp.polyval * Z(0)
      x = jnp.array([0.4, 0.2, 0.1])
      y = jnp.array(0.5)
      z = jnp.array([-0.3, 0.6])
      t = [0.2, 0.3]
  
      @qml.qnode(dev, interface="jax")
      def circuit(par):
          qml.evolve(H0)(par[:1], t=t)
          qml.evolve(H1)(par[1:], t=t)
          return qml.expval(Z(0))
  
      circuit.construct(([x, y, z],), {})
      # TODO: remove once #2155 is resolved
      tape_with_shots = circuit.tape.copy()
      tape_with_shots.trainable_params = [0, 1, 2]
      tape_with_shots._shots = qml.measurements.Shots(
          shots
      )  # pylint:disable=protected-access
      _tapes, fn = pulse_odegen(tape_with_shots, argnum=[0, 1, 2])
      assert (
          len(_tapes) == 12
      )  # two pulses, dim(DLA)=3, two shifts per basis element
  
      grad = fn(qml.execute(_tapes, dev_shots))
      exp_grad = jax.jacobian(circuit)([x, y, z])
      if isinstance(shots, list):
          assert isinstance(grad, tuple) and len(grad) == len(shots)
          for _grad in grad:
              assert isinstance(_grad, tuple) and len(_grad) == 3
              assert all(
                  qml.math.allclose(g, e, atol=tol)
                  for g, e in zip(_grad, exp_grad)
              )
      else:
          assert isinstance(grad, tuple) and len(grad) == 3
          assert all(
              qml.math.allclose(g, e, atol=tol)
              for g, e in zip(grad, exp_grad)
          )
  
imports: import copy
  import pytest
  import numpy
  import pennylane
  from pennylane import numpy
  from pennylane.ops.qubit.special_unitary import pauli_basis_matrices, pauli_basis_strings
  from pennylane.math import expand_matrix
  from pennylane.gradients.pulse_gradient_odegen import _generate_tapes_and_coeffs, pulse_odegen, _insert_op, _nonzero_coeffs_and_words, _one_parameter_generators, _one_parameter_paulirot_coeffs, _parshift_and_contract
label_desc: Use image node_id 4 for calling the TestPulseOdegenTape obj's underlying member method code with example usage: obj.test_multi_pulse(dev_name, shots, tol) and returns: qml