code: def test_assumptions():
      """
      Test whether diophantine respects the assumptions.
      """
      # Test case taken from the below so question regarding assumptions in diophantine module
      # https://stackoverflow.com/questions/23301941/how-can-i-declare-natural-symbols-with-sympy
      m, n = symbols("m n", integer=True, positive=True)
      diof = diophantine(n**2 + m * n - 500)
      assert diof == {
          (5, 20),
          (40, 10),
          (95, 5),
          (121, 4),
          (248, 2),
          (499, 1),
      }
  
      a, b = symbols("a b", integer=True, positive=False)
      diof = diophantine(a * b + 2 * a + 3 * b - 6)
      assert diof == {
          (-15, -3),
          (-9, -4),
          (-7, -5),
          (-6, -6),
          (-5, -8),
          (-4, -14),
      }
  
imports: from sympy.core.add import Add
  from sympy.core.mul import Mul
  from sympy.core.numbers import Rational, oo, pi
  from sympy.core.relational import Eq
  from sympy.core.singleton import S
  from sympy.core.symbol import symbols
  from sympy.matrices.dense import Matrix
  from sympy.ntheory.factor_ import factorint
  from sympy.simplify.powsimp import powsimp
  from sympy.core.function import _mexpand
  from sympy.core.sorting import default_sort_key, ordered
  from sympy.functions.elementary.trigonometric import sin
  from sympy.solvers.diophantine import diophantine
  from sympy.solvers.diophantine.diophantine import diop_DN, diop_solve, diop_ternary_quadratic_normal, diop_general_pythagorean, diop_ternary_quadratic, diop_linear, diop_quadratic, diop_general_sum_of_squares, diop_general_sum_of_even_powers, descent, diop_bf_DN, divisible, equivalent, find_DN, ldescent, length, reconstruct, partition, power_representation, prime_as_sum_of_two_squares, square_factor, sum_of_four_squares, sum_of_three_squares, transformation_to_DN, transformation_to_normal, classify_diop, base_solution_linear, cornacchia, sqf_normal, gaussian_reduce, holzer, check_param, parametrize_ternary_quadratic, sum_of_powers, sum_of_squares, _diop_ternary_quadratic_normal, _nint_or_floor, _odd, _even, _remove_gcd, _can_do_sum_of_squares, DiophantineSolutionSet, GeneralPythagorean, BinaryQuadratic
  from sympy.testing.pytest import slow, raises, XFAIL
  from sympy.utilities.iterables import signed_permutations
label_desc: Use image node_id 39 for calling a global function with example usage: test_assumptions() without return types