code: def test_quadratic_simple_hyperbolic_case():
      # Simple Hyperbolic case: A = C = 0 and B != 0
      assert diop_solve(3 * x * y + 34 * x - 12 * y + 1) == {
          (-133, -11),
          (5, -57),
      }
      assert diop_solve(6 * x * y + 2 * x + 3 * y + 1) == set()
      assert diop_solve(-13 * x * y + 2 * x - 4 * y - 54) == {(27, 0)}
      assert diop_solve(-27 * x * y - 30 * x - 12 * y - 54) == {
          (-14, -1)
      }
      assert diop_solve(2 * x * y + 5 * x + 56 * y + 7) == {
          (-161, -3),
          (-47, -6),
          (-35, -12),
          (-29, -69),
          (-27, 64),
          (-21, 7),
          (-9, 1),
          (105, -2),
      }
      assert diop_solve(6 * x * y + 9 * x + 2 * y + 3) == set()
      assert diop_solve(x * y + x + y + 1) == {(-1, t), (t, -1)}
      assert diophantine(48 * x * y)
  
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 7 for calling a global function with example usage: test_quadratic_simple_hyperbolic_case() without return types