class_docstr: Test that stoch_pulse_grad integrates correctly with QNodes and ML interfaces.
class_docstr_tok: ["Test","that","stoch_pulse_grad","integrates","correctly","with","QNodes","and","ML","interfaces","."]
docstr: Test that a HardwareHamiltonian only containing a drive is differentiated
  approximately correctly for a constant phase and zero frequency.
docstr_tok: ["Test","that","a","HardwareHamiltonian","only","containing","a","drive","is","differentiated","approximately","correctly","for","a","constant","phase","and","zero","frequency","."]
code: def test_with_drive_approx(self, dev_name):
      """Test that a HardwareHamiltonian only containing a drive is differentiated
      approximately correctly for a constant phase and zero frequency.
      """
      import jax
  
      timespan = 0.1
  
      H = qml.pulse.transmon_drive(
          1 / (2 * np.pi), qml.pulse.constant, 0.0, wires=[0]
      )
      atol = 1e-5
      dev = qml.device(dev_name, wires=1)
  
      def ansatz(params):
          qml.evolve(H, atol=atol)(params, t=timespan)
          return qml.expval(qml.PauliX(0))
  
      cost = qml.QNode(
          ansatz,
          dev,
          interface="jax",
          diff_method=qml.gradients.stoch_pulse_grad,
          num_split_times=7,
          use_broadcasting=True,
          sampler_seed=4123,
      )
      cost_jax = qml.QNode(ansatz, dev, interface="jax")
      params = (0.42,)
  
      gradfn = jax.grad(cost)
      res = gradfn(params)
      exact = jax.grad(cost_jax)(params)
      assert qml.math.allclose(res, exact, atol=1e-3)
      jax.clear_caches()
  
imports: import warnings
  import copy
  import pytest
  import numpy
  import pennylane
  from pennylane.gradients.general_shift_rules import eigvals_to_frequencies, generate_shift_rule
  from pennylane.gradients.pulse_gradient import _parshift_and_integrate, _split_evol_ops, _split_evol_tape, stoch_pulse_grad
label_desc: Use image node_id 11 for calling the TestStochPulseGradIntegration obj's underlying member method code with example usage: obj.test_with_drive_approx(dev_name) and returns: qml