code: def test_dup_primitive():
      assert dup_primitive([], ZZ) == (ZZ(0), [])
      assert dup_primitive([ZZ(1)], ZZ) == (ZZ(1), [ZZ(1)])
      assert dup_primitive([ZZ(1), ZZ(1)], ZZ) == (
          ZZ(1),
          [ZZ(1), ZZ(1)],
      )
      assert dup_primitive([ZZ(2), ZZ(2)], ZZ) == (
          ZZ(2),
          [ZZ(1), ZZ(1)],
      )
      assert dup_primitive([ZZ(1), ZZ(2), ZZ(1)], ZZ) == (
          ZZ(1),
          [ZZ(1), ZZ(2), ZZ(1)],
      )
      assert dup_primitive([ZZ(2), ZZ(4), ZZ(2)], ZZ) == (
          ZZ(2),
          [ZZ(1), ZZ(2), ZZ(1)],
      )
  
      assert dup_primitive([], QQ) == (QQ(0), [])
      assert dup_primitive([QQ(1)], QQ) == (QQ(1), [QQ(1)])
      assert dup_primitive([QQ(1), QQ(1)], QQ) == (
          QQ(1),
          [QQ(1), QQ(1)],
      )
      assert dup_primitive([QQ(2), QQ(2)], QQ) == (
          QQ(2),
          [QQ(1), QQ(1)],
      )
      assert dup_primitive([QQ(1), QQ(2), QQ(1)], QQ) == (
          QQ(1),
          [QQ(1), QQ(2), QQ(1)],
      )
      assert dup_primitive([QQ(2), QQ(4), QQ(2)], QQ) == (
          QQ(2),
          [QQ(1), QQ(2), QQ(1)],
      )
  
      assert dup_primitive([QQ(2, 3), QQ(4, 9)], QQ) == (
          QQ(2, 9),
          [QQ(3), QQ(2)],
      )
      assert dup_primitive([QQ(2, 3), QQ(4, 5)], QQ) == (
          QQ(2, 15),
          [QQ(5), QQ(6)],
      )
  
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 21 for calling a global function with example usage: test_dup_primitive() without return types