code: def test_dup_diff():
      assert dup_diff([], 1, ZZ) == []
      assert dup_diff([7], 1, ZZ) == []
      assert dup_diff([2, 7], 1, ZZ) == [2]
      assert dup_diff([1, 2, 1], 1, ZZ) == [2, 2]
      assert dup_diff([1, 2, 3, 4], 1, ZZ) == [3, 4, 3]
      assert dup_diff([1, -1, 0, 0, 2], 1, ZZ) == [4, -3, 0, 0]
  
      f = dup_normal([17, 34, 56, -345, 23, 76, 0, 0, 12, 3, 7], ZZ)
  
      assert dup_diff(f, 0, ZZ) == f
      assert dup_diff(f, 1, ZZ) == [
          170,
          306,
          448,
          -2415,
          138,
          380,
          0,
          0,
          24,
          3,
      ]
      assert dup_diff(f, 2, ZZ) == dup_diff(dup_diff(f, 1, ZZ), 1, ZZ)
      assert dup_diff(f, 3, ZZ) == dup_diff(
          dup_diff(dup_diff(f, 1, ZZ), 1, ZZ), 1, ZZ
      )
  
      K = FF(3)
      f = dup_normal([17, 34, 56, -345, 23, 76, 0, 0, 12, 3, 7], K)
  
      assert dup_diff(f, 1, K) == dup_normal(
          [2, 0, 1, 0, 0, 2, 0, 0, 0, 0], K
      )
      assert dup_diff(f, 2, K) == dup_normal([1, 0, 0, 2, 0, 0, 0], K)
      assert dup_diff(f, 3, K) == dup_normal([], K)
  
      assert dup_diff(f, 0, K) == f
      assert dup_diff(f, 2, K) == dup_diff(dup_diff(f, 1, K), 1, K)
      assert dup_diff(f, 3, K) == dup_diff(
          dup_diff(dup_diff(f, 1, K), 1, K), 1, 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 4 for calling a global function with example usage: test_dup_diff() without return types