class_docstr: Test the utility function _generate_tapes_and_coeffs.
class_docstr_tok: ["Test","the","utility","function","_generate_tapes_and_coeffs","."]
docstr: Check that generated tapes and coefficients equal the expectation.
docstr_tok: ["Check","that","generated","tapes","and","coefficients","equal","the","expectation","."]
code: def check_tapes_and_coeffs_equality(self, grad_tapes, tup, expected):
      """Check that generated tapes and coefficients equal the expectation."""
      import jax.numpy as jnp
  
      (
          start,
          end,
          num_tapes,
          words,
          wires,
          old_tape,
          insert_idx,
          exp_coeffs,
      ) = expected
      assert len(grad_tapes) == num_tapes
      for t_idx, word in enumerate(words):
          for sign, t in zip(
              [1, -1], grad_tapes[2 * t_idx : 2 * (t_idx + 1)]
          ):
              assert len(t.operations) == len(old_tape.operations) + 1
              expected_ops = copy.copy(old_tape.operations)
              expected_ops.insert(
                  insert_idx,
                  qml.PauliRot(sign * np.pi / 2, word, wires),
              )
              assert all(
                  qml.equal(op, old_op)
                  for op, old_op in zip(t.operations, expected_ops)
              )
      assert tup[:2] == (start, end)
  
      # Check coefficients
      coeffs = tup[2]
      assert isinstance(coeffs, list) and len(coeffs) == len(exp_coeffs)
      assert (
          isinstance(coeffs[0], jnp.ndarray)
          and coeffs[0].shape == exp_coeffs[0].shape
      )
      assert qml.math.allclose(coeffs[0], exp_coeffs[0], atol=self.atol)
  
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 3 for calling the TestGenerateTapesAndCoeffs obj's underlying member method code with example usage: obj.check_tapes_and_coeffs_equality(grad_tapes, tup, expected) without return types