code: def test_floordiv(self, op):
      from sympy import Eq, Ne, Gt, Ge, Lt, Le
  
      a, b, c = sympy.symbols("a b c")
      pos = sympy.Symbol("pos", positive=True)
      integer = sympy.Symbol("integer", integer=True)
  
      # (Eq(FloorDiv(a, pos), integer), And(Ge(a, integer * pos), Lt(a, (integer + 1) * pos))),
      # (Eq(FloorDiv(a + 5, pos), integer), And(Ge(a, integer * pos), Lt(a, (integer + 1) * pos))),
      # (Ne(FloorDiv(a, pos), integer), Or(Lt(a, integer * pos), Ge(a, (integer + 1) * pos))),
  
      special_case = {
          # 'FloorDiv' turns into 'And', which can't be simplified any further.
          Eq: (Eq(FloorDiv(a, pos), integer), None),
          # 'FloorDiv' turns into 'Or', which can't be simplified any further.
          Ne: (Ne(FloorDiv(a, pos), integer), None),
          Gt: (Gt(FloorDiv(a, pos), integer), (integer + 1) * pos),
          Ge: (Ge(FloorDiv(a, pos), integer), integer * pos),
          Lt: (Lt(FloorDiv(a, pos), integer), integer * pos),
          Le: (Le(FloorDiv(a, pos), integer), (integer + 1) * pos),
      }[op]
  
      cases: List[Tuple[sympy.Basic, sympy.Basic]] = [
          # 'b' is not strictly positive
          (op(FloorDiv(a, b), integer), None),
          # 'c' is not strictly positive
          (op(FloorDiv(a, pos), c), None),
      ]
  
      # The result might change after 'FloorDiv' transformation.
      # Specifically:
      #   - [Ge, Gt] => Ge
      #   - [Le, Lt] => Lt
      if op in (sympy.Gt, sympy.Ge):
          r_op = sympy.Ge
      elif op in (sympy.Lt, sympy.Le):
          r_op = sympy.Lt
      else:
          r_op = op
  
      self._test_cases([special_case, *cases], a, r_op)
      self._test_cases(
          [(special_case[0], None), *cases],
          a,
          r_op,
          floordiv_inequality=False,
      )
  
imports: import itertools
  import sys
  import sympy
  from typing import Callable, List, Tuple, Type
  from torch.testing._internal.common_device_type import skipIf
  from torch.testing._internal.common_utils import TEST_Z3, instantiate_parametrized_tests, parametrize, run_tests, TestCase
  from torch.utils._sympy.functions import FloorDiv
  from torch.utils._sympy.solve import INEQUALITY_TYPES, mirror_rel_op, try_solve
  from torch.utils._sympy.value_ranges import ValueRangeAnalysis, ValueRanges
  from torch.utils._sympy.reference import ReferenceAnalysis, PythonReferenceAnalysis
  from torch.utils._sympy.interp import sympy_interp
  from torch.utils._sympy.singleton_int import SingletonInt
  from sympy.core.relational import is_ge, is_le, is_gt, is_lt
  import functools
  import torch.fx
label_desc: Use image node_id 9 for calling the TestSympySolve obj's underlying member method code with example usage: obj.test_floordiv(op) without return types