code: def test_dmp_diff():
      assert dmp_diff([], 1, 0, ZZ) == []
      assert dmp_diff([[]], 1, 1, ZZ) == [[]]
      assert dmp_diff([[[]]], 1, 2, ZZ) == [[[]]]
  
      assert dmp_diff([[[1], [2]]], 1, 2, ZZ) == [[[]]]
  
      assert dmp_diff([[[1]], [[]]], 1, 2, ZZ) == [[[1]]]
      assert dmp_diff([[[3]], [[1]], [[]]], 1, 2, ZZ) == [[[6]], [[1]]]
  
      assert dmp_diff([1, -1, 0, 0, 2], 1, 0, ZZ) == dup_diff(
          [1, -1, 0, 0, 2], 1, ZZ
      )
  
      assert dmp_diff(f_6, 0, 3, ZZ) == f_6
      assert dmp_diff(f_6, 1, 3, ZZ) == [
          [[[8460]], [[]]],
          [[[135, 0, 0], [], [], [-135, 0, 0]]],
          [[[]]],
          [[[-423]], [[-47]], [[]], [[141], [], [94, 0], []], [[]]],
      ]
      assert dmp_diff(f_6, 2, 3, ZZ) == dmp_diff(
          dmp_diff(f_6, 1, 3, ZZ), 1, 3, ZZ
      )
      assert dmp_diff(f_6, 3, 3, ZZ) == dmp_diff(
          dmp_diff(dmp_diff(f_6, 1, 3, ZZ), 1, 3, ZZ), 1, 3, ZZ
      )
  
      K = FF(23)
      F_6 = dmp_normal(f_6, 3, K)
  
      assert dmp_diff(F_6, 0, 3, K) == F_6
      assert dmp_diff(F_6, 1, 3, K) == dmp_diff(F_6, 1, 3, K)
      assert dmp_diff(F_6, 2, 3, K) == dmp_diff(
          dmp_diff(F_6, 1, 3, K), 1, 3, K
      )
      assert dmp_diff(F_6, 3, 3, K) == dmp_diff(
          dmp_diff(dmp_diff(F_6, 1, 3, K), 1, 3, K), 1, 3, K
      )
  
imports: from sympy.polys.densebasic import dup_normal, dmp_normal, dup_from_raw_dict, dmp_convert, dmp_swap
  from sympy.polys.densearith import dmp_mul_ground
  from sympy.polys.densetools import dup_clear_denoms, dmp_clear_denoms, dup_integrate, dmp_integrate, dmp_integrate_in, dup_diff, dmp_diff, dmp_diff_in, dup_eval, dmp_eval, dmp_eval_in, dmp_eval_tail, dmp_diff_eval_in, dup_trunc, dmp_trunc, dmp_ground_trunc, dup_monic, dmp_ground_monic, dup_content, dmp_ground_content, dup_primitive, dmp_ground_primitive, dup_extract, dmp_ground_extract, dup_real_imag, dup_mirror, dup_scale, dup_shift, dup_transform, dup_compose, dmp_compose, dup_decompose, dmp_lift, dup_sign_variations, dup_revert, dmp_revert
  from sympy.polys.polyclasses import ANP
  from sympy.polys.polyerrors import MultivariatePolynomialError, ExactQuotientFailed, NotReversible, DomainError
  from sympy.polys.specialpolys import f_polys
  from sympy.polys.domains import FF, ZZ, QQ, EX
  from sympy.polys.rings import ring
  from sympy.core.numbers import I
  from sympy.core.singleton import S
  from sympy.functions.elementary.trigonometric import sin
  from sympy.abc import x
  from sympy.testing.pytest import raises
label_desc: Use image node_id 5 for calling a global function with example usage: test_dmp_diff() without return types